diff --git a/CMakeModules/FindSDDS.cmake b/CMakeModules/FindSDDS.cmake
new file mode 100644
index 0000000000000000000000000000000000000000..3780b30d67da0118901ad9381002ea199bdecb93
--- /dev/null
+++ b/CMakeModules/FindSDDS.cmake
@@ -0,0 +1,34 @@
+#
+# Find SDDS includes and library
+#
+# SDDS_INCLUDE_DIR - where to find SDDS.h, SDDStypes.h
+# SDDS_LIBRARY - qualified libraries to link against.
+# SDDS_FOUND - do not attempt to use if "no" or undefined.
+
+SET(CMAKE_FIND_LIBRARY_SUFFIXES .lib .a ${CMAKE_FIND_LIBRARY_SUFFIXES})
+
+FIND_PATH(SDDS_INCLUDE_DIR SDDS.h
+ HINTS $ENV{SDDS_INCLUDE_PATH} $ENV{SDDS_INCLUDE_DIR} $ENV{SDDS_PREFIX}/include $ENV{SDDS_DIR}/include $ENV{SDDS}/include
+ PATHS ENV C_INCLUDE_PATH
+)
+
+FIND_PATH(SDDS_LIBRARY_DIR libSDDS1.a
+ HINTS $ENV{SDDS_LIBRARY_PATH} $ENV{SDDS_LIBRARY_DIR} $ENV{SDDS_PREFIX}/lib $ENV{SDDS_DIR}/lib $ENV{SDDS}/lib
+ PATHS ENV LIBRARY_PATH
+)
+
+
+IF(SDDS_INCLUDE_DIR AND SDDS_LIBRARY_DIR)
+ SET( SDDS_FOUND "YES" )
+ENDIF(SDDS_INCLUDE_DIR AND SDDS_LIBRARY_DIR)
+
+IF (SDDS_FOUND)
+ IF (NOT SDDS_FIND_QUIETLY)
+ MESSAGE(STATUS "Found SDDS library dir: ${SDDS_LIBRARY_DIR}")
+ MESSAGE(STATUS "Found SDDS include dir: ${SDDS_INCLUDE_DIR}")
+ ENDIF (NOT SDDS_FIND_QUIETLY)
+ELSE (SDDS_FOUND)
+ IF (SDDS_FIND_REQUIRED)
+ MESSAGE(FATAL_ERROR "Could not find SDDS!")
+ ENDIF (SDDS_FIND_REQUIRED)
+ENDIF (SDDS_FOUND)
\ No newline at end of file
diff --git a/doc/randomnotes.txt b/doc/randomnotes.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1161f4c7cc34bd372a4c8792d19e80cbe338ff60
--- /dev/null
+++ b/doc/randomnotes.txt
@@ -0,0 +1,13 @@
+
+A note on documentation etc. for collegues starting work on OPAL:
+
+1) Please take the time and get custom to LaTex: http://www.ctan.org/tex-archive/info/lshort/english/lshort.pdf
+
+2) Also the C++ source code must be documented please read: http://en.wikipedia.org/wiki/Doxygen and document
+ your source code accordingly.
+
+3) We have to do some artwork for our paper(s) and documentation. Please use only TikZ and see the power of
+ this package (and many examples to start) at http://www.texample.net/tikz/examples/ .
+
+
+
diff --git a/doc/refcard/opal-ref-card-bibliography.bib b/doc/refcard/opal-ref-card-bibliography.bib
new file mode 100644
index 0000000000000000000000000000000000000000..07f7e80bfc4f21c3a0fbd4a2dc59e57315ac42da
--- /dev/null
+++ b/doc/refcard/opal-ref-card-bibliography.bib
@@ -0,0 +1,39 @@
+%% objective - bibliography file for femaxx reference card
+%% author - benedikt oswald
+%% modified - 2008 jun 11, creation, benedikt oswald
+
+@Article{arbenzetal2001,
+ author = {Arbenz, P. and Geus, R. and Adam, S.},
+ title = {Solving Maxwell eigenvalue problems for accelerating cavities},
+ journal = {Physical Review Special Topics - Accelerators and Beams},
+ year = {2001},
+ volume = {4},
+ pages = {022001-1:022001-10},
+ annote = {Abstract: we investigate algorithms for computing steady state electromagnetic waves
+ in cavities. The Maxwell equations for the strength of the electric field are solved by
+ a mixed method with quadratic finite edge (N{\'e}d{\'e}lec) elements for the field
+ values and corresponding node-based finite elements for the Lagrange multiplier, This
+ approach avoids so-called spurious modes which are introduced if the divergence-free
+ condition for the electric field is not treated properly. To compute a few of the smalles
+ positive eigenvalues and corresponding eigenmodes of the resulting large sparse-matrix
+ eigenvalue problems, two algorithms have been used: the implicitly restarted Lanczos
+ algorithm and the Jacobi-Davidson algorithm, both with shit-and-invert spectral transformation.
+ Two-level hierarchical basis preconditioners have been employed for the iterative solution
+ of the resulting systems of equations.}
+}
+
+
+@PhdThesis{geus2002,
+ author = {Geus, R.},
+ title = {The Jacobi-Davidson Algorithm for solving large sparse symmetric eigenvalue problems with application to the design of accelerator cavities},
+ school = {Swiss Federal Institute of Technology Zurich},
+ year = {2002},
+ OPTkey = {Diss. ETH NO. 14734},
+ type = {},
+ address = {},
+ month = {},
+ note = {},
+ annote = {}
+}
+
+
diff --git a/doc/refcard/opal-refcard.tex b/doc/refcard/opal-refcard.tex
new file mode 100644
index 0000000000000000000000000000000000000000..78facc0091c4874968b06e2e6ba281248a3e30b4
--- /dev/null
+++ b/doc/refcard/opal-refcard.tex
@@ -0,0 +1,756 @@
+%% objective - reference card for the \opal eigenvalue computation code
+%% objective - list and explain \opal code usage
+%% modified - 2008 jun 10, creation from latex cheat sheet file, benedikt oswald
+%%
+%%
+
+\documentclass[10pt,landscape,a4paper]{article}
+\usepackage{color}
+\usepackage{multicol}
+\usepackage{calc}
+\usepackage{ifthen}
+
+\usepackage{amsmath} %% diverse Matheerweiterungen
+\usepackage{amssymb} %% diverse Matheerweiterungen, z.B. \mathbb{R}
+\usepackage{wasysym} %% diverse Matheerweiterungen, z.B. \oiint
+\usepackage{epsfig} %% um eps-Dateien einzubinden (\epsfig{file=...})
+\usepackage{longtable} %% fuer Tabellen ueber mehrere Seiten
+
+\usepackage{graphicx}
+\usepackage{makeidx}
+
+\usepackage{natbib}
+
+\usepackage[landscape]{geometry}
+% If you're reading this, be prepared for confusion. Making this was
+% a learning experience for me, and it shows. Much of the placement
+% was hacked in; if you make it better, let me know...
+
+
+% 2008-04
+% Changed page margin code to use the geometry package. Also added code for
+% conditional page margins, depending on paper size. Thanks to Uwe Ziegenhagen
+% for the suggestions.
+
+% 2006-08
+% Made changes based on suggestions from Gene Cooperman. <gene at ccs.neu.edu>
+
+
+% To Do:
+% \listoffigures \listoftables
+% \setcounter{secnumdepth}{0}
+
+
+% This sets page margins to .5 inch if using letter paper, and to 1cm
+% if using A4 paper. (This probably isn't strictly necessary.)
+% If using another size paper, use default 1cm margins.
+\ifthenelse{\lengthtest { \paperwidth = 11in}}
+ { \geometry{top=.5in,left=.5in,right=.5in,bottom=.5in} }
+ {\ifthenelse{ \lengthtest{ \paperwidth = 297mm}}
+ {\geometry{top=1cm,left=1cm,right=1cm,bottom=1cm} }
+ {\geometry{top=1cm,left=1cm,right=1cm,bottom=1cm} }
+ }
+
+% Turn off header and footer
+\pagestyle{empty}
+\bibliographystyle{plain}
+
+% Redefine section commands to use less space
+\makeatletter
+\renewcommand{\section}{\@startsection{section}{1}{0mm}%
+ {-1ex plus -.5ex minus -.2ex}%
+ {0.5ex plus .2ex}%x
+ {\normalfont\large\bfseries}}
+\renewcommand{\subsection}{\@startsection{subsection}{2}{0mm}%
+ {-1explus -.5ex minus -.2ex}%
+ {0.5ex plus .2ex}%
+ {\normalfont\normalsize\bfseries}}
+\renewcommand{\subsubsection}{\@startsection{subsubsection}{3}{0mm}%
+ {-1ex plus -.5ex minus -.2ex}%
+ {1ex plus .2ex}%
+ {\normalfont\small\bfseries}}
+
+
+\newcommand{\opal}{\textsc{OPAL }}
+\newcommand{\opalt}{\textsc{OPAL-t }}
+\newcommand{\opalcycl}{\textsc{OPAL-cycl }}
+\newcommand{\opalmap}{\textsc{OPAL-map }}
+
+\newcommand{\noopalt}{\textsc{\leftthumbsdown \opalt }}
+\newcommand{\noopalmap}{\textsc{\leftthumbsdown \opal }}
+\newcommand{\noopalcycl}{\textsc{\leftthumbsdown \opalcycl }}
+
+
+
+
+\makeatother
+
+% Define BibTeX command
+\def\BibTeX{{\rm B\kern-.05em{\sc i\kern-.025em b}\kern-.08em
+ T\kern-.1667em\lower.7ex\hbox{E}\kern-.125emX}}
+
+% Don't print section numbers
+\setcounter{secnumdepth}{0}
+
+
+\setlength{\parindent}{0pt}
+\setlength{\parskip}{0pt plus 0.5ex}
+
+
+%% -----------------------------------------------------------------------
+%% begin \opal refcard
+%% -----------------------------------------------------------------------
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% New commands.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\newcommand{\unit}[1]{\mbox{$\mathrm{#1}$}} %% physical unit
+\renewcommand{\vec}[1]{\mathbf{#1}} %% vector
+\newcommand{\uvec}[1]{\mathbf{\hat{#1}}} %% unit vector
+\newcommand{\mat}[1]{\mathsf{#1}} %% matrix
+\newcommand{\func}[1]{\mbox{$\mathrm{#1}$}} %% math. function
+\newcommand{\cu}{i} %% complex unit
+%% replace this with an argument of resp. type.
+\newcommand{\replace}[1]{\texttt{\mbox{<\textsl{#1}>}}}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Colors.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\definecolor{CmdBoxBackground}{gray}{0.7}
+\definecolor{ExampleBoxBackground}{gray}{0.9}
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{document}
+
+% \raggedright
+\footnotesize
+\begin{multicols}{3}
+
+
+% multicol parameters
+% These lengths are set only within the two main columns
+%\setlength{\columnseprule}{0.25pt}
+\setlength{\premulticols}{1pt}
+\setlength{\postmulticols}{1pt}
+\setlength{\multicolsep}{1pt}
+\setlength{\columnsep}{2pt}
+
+
+
+
+
+\begin{center}
+ \LARGE{\large{\textbf{\textsf{\opal}}} reference card} \\
+\end{center}
+
+
+\begin{center}
+ \includegraphics[width=70mm]{./pictures/torus200kmode0electricfield}
+% We have computed a few modes of a toroidal resonator structure, with
+% respective diameters of $1.0$ and $0.5$ meters. The plot shows the magnitude
+% of the electric field of the lowest mode with a resonance frequency
+% of $218.067+08$ Mhz and the associated quality factor $Q = 62'870e$ [-].
+% Mesh of the torus courtesy Markus Bopp, PSI.
+\end{center}
+
+
+
+
+
+
+
+
+
+\textsf{\textbf{Applicability:}} Commands in this reference card
+apply to the \textsf{\opal} eigenvalue code only. The electromagnetic
+frontend \textsf{heronion} is documented elsewhere.
+%%
+%%
+%%
+\textsf{\textbf{Iron Rule:}} parameters that are used for the solution of
+a specific electromagnetic problem are communicated to the code
+at one single location only, i.e. as command line parameters when
+the solver is run.
+%%
+%%
+\textsf{\textbf{Units:}} the \textsf{\opal} code uses the MKS system,
+aka. meter, kilogram, second, for all its computations.
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\section{\textsf{Usage Paradigm}}
+
+
+\texttt{\opal} is an advanced computational electrodynamics package consisting of three different,
+subsequently used programs.
+%%
+%%
+This document describes code usage. For detailed information on implementational questions
+studying the code is essential and the documentation generated by Doxygen is helpful.
+%%
+%%
+%%
+
+
+
+
+
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\section{\textsf{Physics}}
+
+The \textsf{\opal} code computes the eigenmodal fields of electromagnetic
+resonators by solving the electric field vector wave (\textit{curl-curl})
+equation in $3$-dimensional space, in frequency domain and on a tetrahedral
+mesh for scalar, non-dispersive dielectric and magnetic materials.
+%%
+%%
+\begin{equation}
+\label{eq_electric_curl_curl}
+%%
+\nabla \times \frac{1}{\mu_{r}} \nabla \times \vec{E}
+%%
++ k_{0}^2 \epsilon_{r} \vec{E}
+%%
+= 0
+%%
+\end{equation}
+%%
+At present materials do not model electromagnetic losses. The computation
+of a resonator's quality figure uses an \textit{a posteriori}
+perturbation approach.
+%%
+%%
+The eigenvalue $\ell = k_{0}^2$ is defined in terms of electromagnetic constants
+and the resonance frequency $f_{\mathrm{res}}$.
+%%
+%%
+The resonance frequency $f_{\mathrm{res}}$ is computed from the eigenvalue $\ell$
+%%
+%%
+\begin{equation}
+ \label{eq_fres_from_k0}
+ f = \Biggl( \sqrt{\frac{\ell}{\epsilon_{0}\mu_{0}}} \: \: \Biggr) \frac{1}{2\pi}
+\end{equation}
+%%
+%%
+The eigenvalue shift $\sigma$ can also be understood as a frequency shift,
+using Eq. (\ref{eq_fres_from_k0}), cf. also the \texttt{--sigma} parameter.
+%%
+The theory and the implementation of \textsf{\opal} is explained
+in \cite[]{arbenzetal2001,geus2002}.
+
+
+
+
+
+
+
+
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\section{\textsf{Command Line Parameters}}
+
+
+
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\subsection{General}
+\label{section_general}
+
+The executable of the \textsf{\opal} code is \texttt{\opal\_driver}. Running the code
+depends on the operating system.
+
+
+\vspace{1mm}
+
+\fbox{
+\texttt{\opal\_driver}
+}
+
+\vspace{1mm}
+
+
+\noindent \textbf{\textsf{Nota bene:}} On a Linux system, it is common
+practice to use the \texttt{mpirun} command, e.g.
+
+\vspace{1mm}
+
+\noindent \texttt{mpirun -np 2 <path\_to\_\opal\_executable>/\opal\_driver ...}
+
+\vspace{1mm}
+
+The situation is different on Cray or IBM/bluegene systems.
+
+
+
+
+
+
+
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\subsection{Help}
+\label{section_help}
+
+To request a description of all built-in parameters of \textsf{\opal}
+use
+
+
+\vspace{1mm}
+
+\fbox{
+\texttt{--help}
+}
+
+\vspace{1mm}
+
+\noindent \textbf{\textsf{Example:}} \texttt{\opal\_driver --help}
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\subsection{Tetrahedral mesh file}
+\label{section_tetrahedral_mesh_file}
+
+To specify the path to the file that contains the input tetrahedral volume
+and triangular surface mesh for the computation:
+
+
+\vspace{1mm}
+
+\fbox{
+\texttt{--mesh=\replace{string}}
+}
+
+
+\vspace{2mm}
+
+\noindent \textbf{\textsf{Example:}} \texttt{--mesh=cavity.h5}
+
+\vspace{2mm}
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\subsection{Eigenvalue shift}
+\label{section_eigenvalue_shift}
+
+To specify the eigenvalue shift $\sigma$ used in the
+iterative solution of the eigenvalue computation
+
+
+\vspace{1mm}
+
+\fbox{
+\texttt{--sigma=\replace{double}}
+}
+
+
+\vspace{2mm}
+
+\noindent \textbf{\textsf{Example:}} \texttt{--sigma=2.0}
+
+\vspace{2mm}
+
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\subsection{Number of computed eigenmodes}
+\label{section_numbero_of_computed_eigenmodes}
+
+To specify the desired number of eigenmodal solution (eigenmodes)
+to be computed, specify:
+
+
+\vspace{1mm}
+
+\fbox{
+\texttt{--kmax=\replace{integer}}
+}
+
+
+\vspace{2mm}
+
+\noindent \textbf{\textsf{Example:}} \texttt{--kmax=10}
+
+\vspace{2mm}
+
+\noindent \textbf{\textsf{Nota bene:}} the \textsf{\opal} code
+uses an iterative scheme to compute eigenmodes, i.e. a variable
+number of iterations is required to obtain an eigenmode with
+given accuracy (cf. parameter \texttt{--tol} parameter). By default
+$5$ eigenmodes are computed for which the default number of
+$200$iterations (cf. parameter \texttt{--jitmax}) is sufficient.
+%%
+%%
+If more eigensolutions are required, then \texttt{--jitmax} should
+be increased. The increase depends on mesh quality, complexity
+of the problem and the number of desired modes.
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\subsection{Numerical precision}
+\label{section_numerical_precision}
+
+To specify the accuracy for the computation of
+the eigenmodes, write
+
+
+\vspace{1mm}
+
+\fbox{
+\texttt{--tol=\replace{double}} ($1.0 \cdot 10^{-8}$)
+}
+
+
+\vspace{2mm}
+
+\noindent \textbf{\textsf{Example:}} \texttt{--tol=1.0e-6} which is often
+good enough or a good start to explore the eigenmodal space of a resonator
+structure.
+
+\vspace{2mm}
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\subsection{Finite element approximation order}
+\label{section_finite_element_approximation_order}
+
+
+At present $1^{\mathrm{st}}$ and $2^{\mathrm{nd}}$ order
+base functions are available in \textsf{\opal}.
+%%
+%%
+To select either of them, write
+
+
+\vspace{1mm}
+
+\fbox{
+\texttt{--order=1}
+}
+
+\vspace{2mm}
+
+\noindent or
+
+\vspace{2mm}
+
+\fbox{
+\texttt{--order=2}
+}
+
+\vspace{2mm}
+
+\noindent \textbf{\textsf{Caveat:}} While $1^{\mathrm{st}}$
+order base functions are robust and reliable, computations
+using $2^{\mathrm{nd}}$ order base functions may depend
+on geometry and the calculation may not converge.
+
+\vspace{2mm}
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\subsection{Preconditioner selection}
+\label{section_preconditioner_selection}
+
+\textsf{\opal} offers a choice of different preconditioners,
+used in the iterative solution of the eigenmodal system.
+%%
+%%
+Possible selections are, where \texttt{|} denotes the logical \texttt{OR}
+
+
+\vspace{1mm}
+
+\fbox{
+\texttt{--aprec=ml | neumann | lu | diag | 2level | if } (ml)
+}
+
+
+\vspace{2mm}
+
+\noindent \textbf{\textsf{Available preconditioner types:}}
+
+\noindent \texttt{--aprec=neumann} : requests a Neumann type preconditioner
+
+\noindent \texttt{--aprec=ml} : requests a multilevel type preconditioner
+
+\noindent \texttt{--aprec=lu} : requests a LU type preconditioner
+
+\noindent \texttt{--aprec=2level} : requests a 2level type preconditioner
+
+\noindent \texttt{--aprec=diag} : requests a diagonal type preconditioner
+
+\noindent \texttt{--aprec=if} : requests a if type preconditioner
+
+
+\vspace{2mm}
+
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\subsection{Switch off log file}
+\label{section_switch_of_log_file}
+
+By default, a \textsf{\opal} run produces a log file with information
+on all aspects of the eigenmodal computation. To switch log file generation
+off, write
+
+
+\vspace{1mm}
+
+\fbox{
+\texttt{--no-logfile}
+}
+
+
+\vspace{2mm}
+
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\subsection{Symmetry plane configuration}
+\label{section_symmetry_plane_configuration}
+
+Often, the geometry of electromagnetic resonators exhibits symmetries which can
+be exploited to reduce the computational effort considerably.
+%%
+A computational mesh in \textsf{\opal} compliand HDF5 file also contains
+a list of surface triangles, each of which is attributed a surface tag whose
+values are either $1,2$ or $3$.
+%%
+%%
+The surface triangle tags, $1$, $2$ or $3$, denote the lowest three bits in a binary number;
+depending on the bits being either set ($1$) or not set ($0$),
+the resulting binary number can express decimal values in the range of
+$0$ through $7$.
+%%
+%%
+If the corresponding bit of a surface triangle tag is set, then triangles with this
+tag are assigned the perfect electric conductor (PEC) boundary condition.
+%%
+If the bit is not set, then triangles with this tag are assigned the perfect
+magnetic conductor (PMC) boundary condition, in short:
+
+\noindent Bit $=0$ : $\vec{E} \times \vec{n} = 0$ (PEC)
+
+\noindent Bit $=1$ : $\vec{E} \cdot \vec{n} = 0$ (PMC)
+
+
+\vspace{1mm}
+
+\fbox{
+\texttt{--sym-plane-config=\replace{integer}}
+}
+
+
+\vspace{2mm}
+
+\noindent \textbf{\textsf{Example:}} \texttt{--sym-plane-config=5}
+%%
+means that on surface triangles with
+tag $1$ we have a PMC boundary condition, on surface triangles with tag $2$ we
+have a PEC boundary condition, and on surface triangles with surface tag $3$ we
+have, once again, a PMC boundary condition.
+
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\subsection{Debug mode}
+\label{section_debug_mode}
+
+To switch on debug mode during code execution, use
+
+
+\vspace{1mm}
+
+\fbox{
+\texttt{--debug}
+}
+
+
+\vspace{2mm}
+
+
+
+
+
+
+
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\subsection{Result file}
+\label{section_result_file}
+
+To specify the name of the HDF5 file into which the eigenmodal
+calculations' results are written
+
+
+\vspace{1mm}
+
+\fbox{
+\texttt{--eigendatafile=\replace{string}}
+}
+
+
+\vspace{2mm}
+
+\noindent \textbf{\textsf{Example:}} \texttt{--eigendatafile=box\_output.h5}
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\subsection{Cartesian sampling}
+\label{section_result_file}
+
+To specify an orthogonal cartesian region within which
+the eigenmodal solution is sampled, use
+
+\vspace{1mm}
+
+\begin{verbatim}
+--cartesian-sampling-x-start = <double>
+--cartesian-sampling-x-stop = <double>
+--number-samples-x-axis = <integer>
+--cartesian-sampling-y-start = <double>
+--cartesian-sampling-y-stop = <double>
+--number-samples-y-axis = <integer>
+--cartesian-sampling-z-start = <double>
+--cartesian-sampling-z-stop = <double>
+--number-samples-z-axis = <integer>
+\end{verbatim}
+
+\vspace{2mm}
+
+\noindent \textbf{\textsf{Example:}}
+
+\begin{verbatim}
+--cartesian-sampling-x-start = 0.0
+--cartesian-sampling-x-stop = 1.0
+--number-samples-x-axis = 11
+--cartesian-sampling-y-start = 0.5
+--cartesian-sampling-y-stop = 1.5
+--number-samples-y-axis = 21
+--cartesian-sampling-z-start = -1.5
+--cartesian-sampling-z-stop = -0.5
+--number-samples-z-axis = 41
+\end{verbatim}
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\subsection{Cylinder sampling}
+\label{section_result_file}
+
+Specifying an orthogonal cyliner region within which
+the eigenmodal solution is sampled, is similar to the
+cartesian region selection. The cylindric region is
+defined through the axis of the sampling cylinder volume
+and the end position of its radius vector, w.r.t cylinder
+axis' start location.
+
+
+
+\begin{verbatim}
+--cylinder-sampling-x-bottom = <double>
+--cylinder-sampling-x-top = <double>
+--cylinder-sampling-y-bottom = <double>
+--cylinder-sampling-y-top = <double>
+--cylinder-sampling-z-bottom = <double>
+--cylinder-sampling-z-top = <double>
+--number-samples-on-cylinder-axis = <integer>
+--cylinder-radial-vector-end-position-x = <double>
+--cylinder-radial-vector-end-position-y = <double>
+--cylinder-radial-vector-end-position-z = <double>
+--number-samples-on-cylinder-radial-vector = <integer>
+--number-samples-in-cylinder-azimuthal-plane = <integer>
+\end{verbatim}
+
+\vspace{2mm}
+
+\noindent \textbf{\textsf{Example:}}
+
+\begin{verbatim}
+--cylinder-sampling-x-bottom = 0.5
+--cylinder-sampling-x-top = 0.5
+--cylinder-sampling-y-bottom = 0.7
+--cylinder-sampling-y-top = 0.7
+--cylinder-sampling-z-bottom = 0.0
+--cylinder-sampling-z-top = 1.6
+--number-samples-on-cylinder-axis = 171
+--cylinder-radial-vector-end-position-x = 1.0
+--cylinder-radial-vector-end-position-y = 1.3
+--cylinder-radial-vector-end-position-z = 0.0
+--number-samples-on-cylinder-radial-vector = 11
+--number-samples-in-cylinder-azimuthal-plane = 4
+\end{verbatim}
+
+\noindent which specifies a cylinder sampling volume where the cylinder's
+axis starts at $[x=0.5,y=0.7,z=0.0]$ and ends at $[x=0.5,y=0.7,z=1.6]$ and
+the end position of th radius vector is $[x=1.0,y=1.3,z=0.0]$ with
+as many as $[171,11,4]$ samples on the cylinder axis, the radius vector
+and on the cylinder azimuthal plane, respectively.
+
+
+{\scriptsize
+\bibliography{opal-ref-card-bibliography}
+}
+
+\vspace{2mm}
+
+\scriptsize
+%%
+%%
+For ontacts:
+%%
+\texttt{andreas.adelmann@psi.ch}.
+%%
+%%
+\noindent \textbf{DISCLAIMER} All data in this reference card have been collected and presented
+with great care. However, no responsibility is accepted for any consequences resulting
+from errors or omissions. Neither do we take any responsibility for using the codes.
+%%
+%%
+We encourage you to report bugs, problems and suggestions to us.
+%%
+%%
+\noindent On the internet type \texttt{www.amas.web.psi.ch} to find us.
+%%
+\end{multicols}
+\end{document}
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
diff --git a/doc/user_guide/CMakeLists.txt b/doc/user_guide/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..cc5990c7f38df60b48bd86681498ebca6e372f7a
--- /dev/null
+++ b/doc/user_guide/CMakeLists.txt
@@ -0,0 +1,351 @@
+OPTION (ENABLE_DOCUMENTATION "Enable build of documentation" OFF)
+OPTION (EXCLUDE_DOC_FROM_ALL "Exclude the target doc from all" OFF)
+
+IF (ENABLE_DOCUMENTATION)
+ project(opal_user_guide NONE)
+
+ include(UseLATEX.cmake)
+
+ MESSAGE(STATUS "Compiling documentation")
+ MESSAGE(STATUS "PDFLATEX_COMPILER is '${PDFLATEX_COMPILER}'")
+ MESSAGE(STATUS "MAKEINDEX_COMPILER is '${MAKEINDEX_COMPILER}'")
+ MESSAGE(STATUS "BIBER_COMPILER is '${BIBER_COMPILER}'")
+ MESSAGE(STATUS "")
+
+ IF (EXCLUDE_DOC_FROM_ALL)
+ add_latex_document(opal_user_guide.tex
+ INPUTS actions.tex autophase.tex benchmarks.tex changelog.tex control.tex conventions.tex dingbat.sty distribution.tex elements.tex errors.tex examples/diagnostic.in examples/matchedDistribution.in examples/matchedDistribution.output examples/multipacting.in examples/OBLA-Gun/OBLA-Gun.in examples/opal-cycl.in examples/opal-cycl-sc.in examples/surfacephysics.in examples/tuning.sh fieldemission.tex fieldmaps.tex fieldsolvers.tex figures/Elements/RBend.tex figures/Elements/SBend.tex figures/Multipacting/HB_Fig4.tikz figures/opalt/flowdiagram.tex footer.tex format.tex geometry.tex header.tex html.sty installation.tex introduction.tex lines.tex macros.tex match.tex multipact.tex opalcycl.tex opal-flavours.tex opal-madx.tex opalmap.tex opalt.tex packages.tex partmatter.tex pdfdraftcopy.sty physics.tex quick-installation.tex switches.tex syntax.tex tables.tex track.tex tutorial.tex uml.tex wakefields.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures figures/Benchmarks figures/cyclotron figures/Elements figures/Fieldmaps figures/Gun figures/Multipacting figures/opalt figures/partmatter figures/traveling-wave-structure
+ USE_INDEX
+ USE_BIBLATEX
+ TARGET_NAME doc
+ EXCLUDE_FROM_ALL
+ )
+ ELSE()
+ add_latex_document(opal_user_guide.tex
+ INPUTS actions.tex autophase.tex benchmarks.tex changelog.tex control.tex conventions.tex dingbat.sty distribution.tex elements.tex errors.tex examples/diagnostic.in examples/matchedDistribution.in examples/matchedDistribution.output examples/multipacting.in examples/OBLA-Gun/OBLA-Gun.in examples/opal-cycl.in examples/opal-cycl-sc.in examples/surfacephysics.in examples/tuning.sh fieldemission.tex fieldmaps.tex fieldsolvers.tex figures/Elements/RBend.tex figures/Elements/SBend.tex figures/Multipacting/HB_Fig4.tikz figures/opalt/flowdiagram.tex footer.tex format.tex geometry.tex header.tex html.sty installation.tex introduction.tex lines.tex macros.tex match.tex multipact.tex opalcycl.tex opal-flavours.tex opal-madx.tex opalmap.tex opalt.tex packages.tex partmatter.tex pdfdraftcopy.sty physics.tex quick-installation.tex switches.tex syntax.tex tables.tex track.tex tutorial.tex uml.tex wakefields.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures figures/Benchmarks figures/cyclotron figures/Elements figures/Fieldmaps figures/Gun figures/Multipacting figures/opalt figures/partmatter figures/traveling-wave-structure
+ USE_INDEX
+ USE_BIBLATEX
+ TARGET_NAME doc
+ )
+ ENDIF()
+
+ add_latex_document(introduction.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures figures/Gun
+ USE_BIBLATEX
+ TARGET_NAME doc_introduction
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(actions.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_action
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(autophase.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_autophase
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(benchmarks.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures figures/Benchmarks
+ USE_BIBLATEX
+ TARGET_NAME doc_benchmarks
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(changelog.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_changelog
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(control.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_control
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(conventions.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_conventions
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(distribution.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_distribution
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(elements.tex
+ INPUTS dingbat.sty figures/Elements/RBend.tex figures/Elements/SBend.tex footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures figures/cyclotron figures/Elements figures/traveling-wave-structure
+ USE_BIBLATEX
+ TARGET_NAME doc_elements
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(errors.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_errors
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(fieldemission.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_fieldemission
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(fieldmaps.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures figures/Fieldmaps
+ USE_BIBLATEX
+ TARGET_NAME doc_fieldmaps
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(fieldsolvers.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_fieldsolver
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(format.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_format
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(geometry.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_geometry
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(installation.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_installation
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(lines.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_lines
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(match.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_match
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(multipact.tex
+ INPUTS dingbat.sty examples/multipacting.in figures/Multipacting/HB_Fig4.tikz footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures figures/Multipacting
+ USE_BIBLATEX
+ TARGET_NAME doc_multipact
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(opalcycl.tex
+ INPUTS dingbat.sty examples/matchedDistribution.in examples/matchedDistribution.output examples/tuning.sh footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures figures/cyclotron
+ USE_BIBLATEX
+ TARGET_NAME doc_opalcycl
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(opalmap.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_opal_map
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(opal-flavours.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures figures/cyclotron figures/Fieldmaps
+ USE_BIBLATEX
+ TARGET_NAME doc_opal_flavours
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(opalt.tex
+ INPUTS dingbat.sty figures/opalt/flowdiagram.tex footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures figures/opalt
+ USE_BIBLATEX
+ TARGET_NAME doc_opalt
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(partmatter.tex
+ INPUTS dingbat.sty examples/surfacephysics.in footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures figures/partmatter
+ USE_BIBLATEX
+ TARGET_NAME doc_partmatter
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(physics.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_physics
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(quick-installation.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_quick_installation
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(syntax.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_syntax
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(tables.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_tables
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(track.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_track
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(tutorial.tex
+ INPUTS dingbat.sty examples/diagnostic.in examples/OBLA-Gun/OBLA-Gun.in examples/opal-cycl.in examples/opal-cycl-sc.in footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures figures/cyclotron figures/Gun
+ USE_BIBLATEX
+ TARGET_NAME doc_tutorial
+ EXCLUDE_FROM_ALL
+ )
+
+ add_latex_document(wakefields.tex
+ INPUTS dingbat.sty footer.tex header.tex html.sty macros.tex packages.tex pdfdraftcopy.sty switches.tex
+ BIBFILES bibliography.bib
+ CONFIGURE macros.tex
+ IMAGE_DIRS figures
+ USE_BIBLATEX
+ TARGET_NAME doc_wakefields
+ EXCLUDE_FROM_ALL
+ )
+
+ add_custom_target(doc_separate DEPENDS doc_introduction doc_autophase doc_benchmarks doc_changelog doc_control doc_conventions doc_distribution doc_elements doc_fieldemission doc_fieldmaps doc_fieldsolver doc_format doc_geometry doc_installation doc_lines doc_multipact doc_opalcycl doc_opalt doc_partmatter doc_physics doc_quick_installation doc_syntax doc_track doc_tutorial doc_wakefields)
+
+ install (FILES opal_user_guide.pdf DESTINATION "${CMAKE_INSTALL_PREFIX}/doc")
+ENDIF()
\ No newline at end of file
diff --git a/doc/user_guide/UseLATEX.cmake b/doc/user_guide/UseLATEX.cmake
new file mode 100644
index 0000000000000000000000000000000000000000..959630a63d01c490a571a1711b623133e51e1223
--- /dev/null
+++ b/doc/user_guide/UseLATEX.cmake
@@ -0,0 +1,1649 @@
+# File: UseLATEX.cmake
+# CMAKE commands to actually use the LaTeX compiler
+# Version: 2.3.2
+# Author: Kenneth Moreland <kmorel@sandia.gov>
+#
+# Copyright 2004, 2015 Sandia Corporation.
+# Under the terms of Contract DE-AC04-94AL85000, there is a non-exclusive
+# license for use of this work by or on behalf of the U.S. Government.
+#
+# This software is released under the BSD 3-Clause License.
+#
+# Redistribution and use in source and binary forms, with or without
+# modification, are permitted provided that the following conditions are
+# met:
+#
+# 1. Redistributions of source code must retain the above copyright notice,
+# this list of conditions and the following disclaimer.
+#
+# 2. Redistributions in binary form must reproduce the above copyright
+# notice, this list of conditions and the following disclaimer in the
+# documentation and/or other materials provided with the distribution.
+#
+# 3. Neither the name of the copyright holder nor the names of its
+# contributors may be used to endorse or promote products derived from this
+# software without specific prior written permission.
+#
+# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
+# IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO,
+# THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+# PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR
+# CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+# EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+# PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+# PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+# LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+# NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+# SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+#
+#
+# The following function is defined:
+#
+# add_latex_document(<tex_file>
+# [BIBFILES <bib_files>]
+# [INPUTS <input_tex_files>]
+# [IMAGE_DIRS] <image_directories>
+# [IMAGES] <image_files>
+# [CONFIGURE] <tex_files>
+# [DEPENDS] <tex_files>
+# [MULTIBIB_NEWCITES] <suffix_list>
+# [USE_BIBLATEX]
+# [USE_INDEX]
+# [INDEX_NAMES <index_names>]
+# [USE_GLOSSARY] [USE_NOMENCL]
+# [FORCE_PDF] [FORCE_DVI] [FORCE_HTML]
+# [TARGET_NAME] <name>
+# [EXCLUDE_FROM_ALL]
+# [EXCLUDE_FROM_DEFAULTS])
+# Adds targets that compile <tex_file>. The latex output is placed
+# in LATEX_OUTPUT_PATH or CMAKE_CURRENT_BINARY_DIR if the former is
+# not set. The latex program is picky about where files are located,
+# so all input files are copied from the source directory to the
+# output directory. This includes the target tex file, any tex file
+# listed with the INPUTS option, the bibliography files listed with
+# the BIBFILES option, and any .cls, .bst, and .clo files found in
+# the current source directory. Images found in the IMAGE_DIRS
+# directories or listed by IMAGES are also copied to the output
+# directory and converted to an appropriate format if necessary. Any
+# tex files also listed with the CONFIGURE option are also processed
+# with the CMake CONFIGURE_FILE command (with the @ONLY flag). Any
+# file listed in CONFIGURE but not the target tex file or listed with
+# INPUTS has no effect. DEPENDS can be used to specify generated files
+# that are needed to compile the latex target.
+#
+# The following targets are made. The name prefix is based off of the
+# base name of the tex file unless TARGET_NAME is specified. If
+# TARGET_NAME is specified, then that name is used for the targets.
+#
+# name_dvi: Makes <name>.dvi
+# name_pdf: Makes <name>.pdf using pdflatex.
+# name_safepdf: Makes <name>.pdf using ps2pdf. If using the
+# default program arguments, this will ensure all fonts
+# are embedded and no lossy compression has been
+# performed on images.
+# name_ps: Makes <name>.ps
+# name_html: Makes <name>.html
+# name_auxclean: Deletes <name>.aux and other auxiliary files.
+# This is sometimes necessary if a LaTeX error occurs
+# and writes a bad aux file. Unlike the regular clean
+# target, it does not delete other input files, such as
+# converted images, to save time on the rebuild.
+#
+# Unless the EXCLUDE_FROM_ALL option is given, one of these targets
+# is added to the ALL target and built by default. Which target is
+# determined by the LATEX_DEFAULT_BUILD CMake variable. See the
+# documentation of that variable for more details.
+#
+# Unless the EXCLUDE_FROM_DEFAULTS option is given, all these targets
+# are added as dependencies to targets named dvi, pdf, safepdf, ps,
+# html, and auxclean, respectively.
+#
+# USE_BIBLATEX enables the use of biblatex/biber as an alternative to
+# bibtex. Bibtex remains the default if USE_BIBLATEX is not
+# specified.
+#
+# If the argument USE_INDEX is given, then commands to build an index
+# are made. If the argument INDEX_NAMES is given, an index file is
+# generated for each name in this list. See the LaTeX package multind
+# for more information about how to generate multiple indices.
+#
+# If the argument USE_GLOSSARY is given, then commands to
+# build a glossary are made. If the argument MULTIBIB_NEWCITES is
+# given, then additional bibtex calls are added to the build to
+# support the extra auxiliary files created with the \newcite command
+# in the multibib package.
+#
+# History:
+#
+# 2.3.2 Declare LaTeX input files as sources for targets so that they show
+# up in IDEs like QtCreator.
+#
+# Fix issue where main tex files in subdirectories were creating
+# invalid targets for building HTML. Just disable the HTML targets in
+# this case.
+#
+# 2.3.1 Support use of magick command instead of convert command for
+# ImageMagick 7.
+#
+# 2.3.0 Add USE_BIBLATEX option to support the biblatex package, which
+# requires using the program biber as a replacement for bibtex
+# (thanks to David Tracey).
+#
+# 2.2.1 Add STRINGS property to LATEX_DEFAULT_BUILD to make it easier to
+# select the default build in the CMake GUI.
+#
+# 2.2.0 Add TARGET_NAME option.
+#
+# 2.1.1 Support for finding bmp, ppm, and other image files.
+#
+# 2.1.0 Fix an error where the pdf target and others were defined multiple
+# times if UseLATEX.cmake was included multiple times.
+#
+# Added INDEX_NAMES option to support multiple indexes in a single
+# document from the multind package (thanks to Dan Lipsa).
+#
+# 2.0.0 First major revision of UseLATEX.cmake updates to more recent features
+# of CMake and some non-backward compatible changes.
+#
+# Changed all function and macro names to lower case. CMake's identifiers
+# are case insensitive, but the convention moved from all upper case to
+# all lower case somewhere around the release of CMake 2. (The original
+# version of UseLATEX.cmake predates that.)
+#
+# Remove condition matching in if statements. They are no longer necessary
+# and are even discouraged (because else clauses get confusing).
+#
+# Use "new" features available in CMake such as list and argument parsing.
+#
+# Remove some code that has been deprecated for a while.
+#
+# Mark variables for compiler and converter executables as advanced to
+# match the more conventional CMake behavior.
+#
+# Changed how default builds are specified and add the ability to force
+# a particular build.
+#
+# Made the base targets (pdf, dvi, etc.) global. add_latex_document
+# always mangles its target names and these base targets depend on
+# the targets with mangled names.
+#
+# 1.10.5 Fix for Window's convert check (thanks to Martin Baute).
+#
+# 1.10.4 Copy font files to binary directory for packages that come with
+# their own fonts.
+#
+# 1.10.3 Check for Windows version of convert being used instead of
+# ImageMagick's version (thanks to Martin Baute).
+#
+# 1.10.2 Use htlatex as a fallback when latex2html is not available (thanks
+# to Tomasz Grzegurzko).
+#
+# 1.10.1 Make convert program mandatory only if actually used (thanks to
+# Julien Schueller).
+#
+# 1.10.0 Added NO_DEFAULT and DEFAULT_PS options.
+# Fixed issue with cleaning files for LaTeX documents originating in
+# a subdirectory.
+#
+# 1.9.6 Fixed problem with LATEX_SMALL_IMAGES.
+# Strengthened check to make sure the output directory does not contain
+# the source files.
+#
+# 1.9.5 Add support for image types not directly supported by either latex
+# or pdflatex. (Thanks to Jorge Gerardo Pena Pastor for SVG support.)
+#
+# 1.9.4 Fix issues with filenames containing multiple periods.
+#
+# 1.9.3 Hide some variables that are now cached but should not show up in
+# the ccmake list of variables.
+#
+# 1.9.2 Changed MACRO declarations to FUNCTION declarations. The better
+# FUNCTION scoping will hopefully avoid some common but subtle bugs.
+# This implicitly increases the minimum CMake version to 4.6 (although
+# I honestly only test it with the latest 4.8 version).
+#
+# Since we are updating the minimum CMake version, I'm going to start
+# using the builtin LIST commands that are now available.
+#
+# Favor using pdftops from the Poppler package to convert from pdf to
+# eps. It does a much better job than ImageMagick or ghostscript.
+#
+# 1.9.1 Fixed typo that caused the LATEX_SMALL_IMAGES option to fail to
+# activate.
+#
+# 1.9.0 Add support for the multibib package (thanks to Antonio LaTorre).
+#
+# 1.8.2 Fix corner case when an argument name was also a variable containing
+# the text of an argument. In this case, the CMake IF was matching
+# the argument text with the contents of the variable with the same
+# argument name.
+#
+# 1.8.1 Fix problem where ps2pdf was not getting the appropriate arguments.
+#
+# 1.8.0 Add support for synctex.
+#
+# 1.7.7 Support calling xindy when making glossaries.
+#
+# Improved make clean support.
+#
+# 1.7.6 Add support for the nomencl package (thanks to Myles English).
+#
+# 1.7.5 Fix issue with bibfiles being copied two different ways, which causes
+# Problems with dependencies (thanks to Edwin van Leeuwen).
+#
+# 1.7.4 Added the DEFAULT_SAFEPDF option (thanks to Raymond Wan).
+#
+# Added warnings when image directories are not found (and were
+# probably not given relative to the source directory).
+#
+# 1.7.3 Fix some issues with interactions between makeglossaries and bibtex
+# (thanks to Mark de Wever).
+#
+# 1.7.2 Use ps2pdf to convert eps to pdf to get around the problem with
+# ImageMagick dropping the bounding box (thanks to Lukasz Lis).
+#
+# 1.7.1 Fixed some dependency issues.
+#
+# 1.7.0 Added DEPENDS options (thanks to Theodore Papadopoulo).
+#
+# 1.6.1 Ported the makeglossaries command to CMake and embedded the port
+# into UseLATEX.cmake.
+#
+# 1.6.0 Allow the use of the makeglossaries command. Thanks to Oystein
+# S. Haaland for the patch.
+#
+# 1.5.0 Allow any type of file in the INPUTS lists, not just tex file
+# (suggested by Eric Noulard). As a consequence, the ability to
+# specify tex files without the .tex extension is removed. The removed
+# function is of dubious value anyway.
+#
+# When copying input files, skip over any file that exists in the
+# binary directory but does not exist in the source directory with the
+# assumption that these files were added by some other mechanism. I
+# find this useful when creating large documents with multiple
+# chapters that I want to build separately (for speed) as I work on
+# them. I use the same boilerplate as the starting point for all
+# and just copy it with different configurations. This was what the
+# separate ADD_LATEX_DOCUMENT method was supposed to originally be for.
+# Since its external use is pretty much deprecated, I removed that
+# documentation.
+#
+# 1.4.1 Copy .sty files along with the other class and package files.
+#
+# 1.4.0 Added a MANGLE_TARGET_NAMES option that will mangle the target names.
+#
+# Fixed problem with copying bib files that became apparent with
+# CMake 2.4.
+#
+# 1.3.0 Added a LATEX_OUTPUT_PATH variable that allows you or the user to
+# specify where the built latex documents to go. This is especially
+# handy if you want to do in-source builds.
+#
+# Removed the ADD_LATEX_IMAGES macro and absorbed the functionality
+# into ADD_LATEX_DOCUMENT. The old interface was always kind of
+# clunky anyway since you had to specify the image directory in both
+# places. It also made supporting LATEX_OUTPUT_PATH problematic.
+#
+# Added support for jpeg files.
+#
+# 1.2.0 Changed the configuration options yet again. Removed the NO_CONFIGURE
+# Replaced it with a CONFIGURE option that lists input files for which
+# configure should be run.
+#
+# The pdf target no longer depends on the dvi target. This allows you
+# to build latex documents that require pdflatex. Also added an option
+# to make the pdf target the default one.
+#
+# 1.1.1 Added the NO_CONFIGURE option. The @ character can be used when
+# specifying table column separators. If two or more are used, then
+# will incorrectly substitute them.
+#
+# 1.1.0 Added ability include multiple bib files. Added ability to do copy
+# sub-tex files for multipart tex files.
+#
+# 1.0.0 If both ps and pdf type images exist, just copy the one that
+# matches the current render mode. Replaced a bunch of STRING
+# commands with GET_FILENAME_COMPONENT commands that were made to do
+# the desired function.
+#
+# 0.4.0 First version posted to CMake Wiki.
+#
+
+if(__USE_LATEX_INCLUDED)
+ return()
+endif()
+set(__USE_LATEX_INCLUDED TRUE)
+
+#############################################################################
+# Find the location of myself while originally executing. If you do this
+# inside of a macro, it will recode where the macro was invoked.
+#############################################################################
+set(LATEX_USE_LATEX_LOCATION ${CMAKE_CURRENT_LIST_FILE}
+ CACHE INTERNAL "Location of UseLATEX.cmake file." FORCE
+ )
+
+#############################################################################
+# Generic helper functions
+#############################################################################
+
+include(CMakeParseArguments)
+
+function(latex_list_contains var value)
+ set(input_list ${ARGN})
+ list(FIND input_list "${value}" index)
+ if(index GREATER -1)
+ set(${var} TRUE PARENT_SCOPE)
+ else()
+ set(${var} PARENT_SCOPE)
+ endif()
+endfunction(latex_list_contains)
+
+# Match the contents of a file to a regular expression.
+function(latex_file_match variable filename regexp default)
+ # The FILE STRINGS command would be a bit better, but I'm not totally sure
+ # the match will always be to a whole line, and I don't want to break things.
+ file(READ ${filename} file_contents)
+ string(REGEX MATCHALL "${regexp}"
+ match_result ${file_contents}
+ )
+ if(match_result)
+ set(${variable} "${match_result}" PARENT_SCOPE)
+ else()
+ set(${variable} "${default}" PARENT_SCOPE)
+ endif()
+endfunction(latex_file_match)
+
+# A version of GET_FILENAME_COMPONENT that treats extensions after the last
+# period rather than the first. To the best of my knowledge, all filenames
+# typically used by LaTeX, including image files, have small extensions
+# after the last dot.
+function(latex_get_filename_component varname filename type)
+ set(result)
+ if("${type}" STREQUAL "NAME_WE")
+ get_filename_component(name ${filename} NAME)
+ string(REGEX REPLACE "\\.[^.]*\$" "" result "${name}")
+ elseif("${type}" STREQUAL "EXT")
+ get_filename_component(name ${filename} NAME)
+ string(REGEX MATCH "\\.[^.]*\$" result "${name}")
+ else()
+ get_filename_component(result ${filename} ${type})
+ endif()
+ set(${varname} "${result}" PARENT_SCOPE)
+endfunction(latex_get_filename_component)
+
+#############################################################################
+# Functions that perform processing during a LaTeX build.
+#############################################################################
+function(latex_makeglossaries)
+ # This is really a bare bones port of the makeglossaries perl script into
+ # CMake scripting.
+ message("**************************** In makeglossaries")
+ if(NOT LATEX_TARGET)
+ message(SEND_ERROR "Need to define LATEX_TARGET")
+ endif()
+
+ set(aux_file ${LATEX_TARGET}.aux)
+
+ if(NOT EXISTS ${aux_file})
+ message(SEND_ERROR "${aux_file} does not exist. Run latex on your target file.")
+ endif()
+
+ latex_file_match(newglossary_lines ${aux_file}
+ "@newglossary[ \t]*{([^}]*)}{([^}]*)}{([^}]*)}{([^}]*)}"
+ "@newglossary{main}{glg}{gls}{glo}"
+ )
+
+ latex_file_match(istfile_line ${aux_file}
+ "@istfilename[ \t]*{([^}]*)}"
+ "@istfilename{${LATEX_TARGET}.ist}"
+ )
+ string(REGEX REPLACE "@istfilename[ \t]*{([^}]*)}" "\\1"
+ istfile ${istfile_line}
+ )
+
+ string(REGEX MATCH ".*\\.xdy" use_xindy "${istfile}")
+ if(use_xindy)
+ message("*************** Using xindy")
+ if(NOT XINDY_COMPILER)
+ message(SEND_ERROR "Need to define XINDY_COMPILER")
+ endif()
+ else()
+ message("*************** Using makeindex")
+ if(NOT MAKEINDEX_COMPILER)
+ message(SEND_ERROR "Need to define MAKEINDEX_COMPILER")
+ endif()
+ endif()
+
+ foreach(newglossary ${newglossary_lines})
+ string(REGEX REPLACE
+ "@newglossary[ \t]*{([^}]*)}{([^}]*)}{([^}]*)}{([^}]*)}"
+ "\\1" glossary_name ${newglossary}
+ )
+ string(REGEX REPLACE
+ "@newglossary[ \t]*{([^}]*)}{([^}]*)}{([^}]*)}{([^}]*)}"
+ "${LATEX_TARGET}.\\2" glossary_log ${newglossary}
+ )
+ string(REGEX REPLACE
+ "@newglossary[ \t]*{([^}]*)}{([^}]*)}{([^}]*)}{([^}]*)}"
+ "${LATEX_TARGET}.\\3" glossary_out ${newglossary}
+ )
+ string(REGEX REPLACE
+ "@newglossary[ \t]*{([^}]*)}{([^}]*)}{([^}]*)}{([^}]*)}"
+ "${LATEX_TARGET}.\\4" glossary_in ${newglossary}
+ )
+
+ if(use_xindy)
+ latex_file_match(xdylanguage_line ${aux_file}
+ "@xdylanguage[ \t]*{${glossary_name}}{([^}]*)}"
+ "@xdylanguage{${glossary_name}}{english}"
+ )
+ string(REGEX REPLACE
+ "@xdylanguage[ \t]*{${glossary_name}}{([^}]*)}"
+ "\\1"
+ language
+ ${xdylanguage_line}
+ )
+ # What crazy person makes a LaTeX index generator that uses different
+ # identifiers for language than babel (or at least does not support
+ # the old ones)?
+ if(${language} STREQUAL "frenchb")
+ set(language "french")
+ elseif(${language} MATCHES "^n?germanb?$")
+ set(language "german")
+ elseif(${language} STREQUAL "magyar")
+ set(language "hungarian")
+ elseif(${language} STREQUAL "lsorbian")
+ set(language "lower-sorbian")
+ elseif(${language} STREQUAL "norsk")
+ set(language "norwegian")
+ elseif(${language} STREQUAL "portuges")
+ set(language "portuguese")
+ elseif(${language} STREQUAL "russianb")
+ set(language "russian")
+ elseif(${language} STREQUAL "slovene")
+ set(language "slovenian")
+ elseif(${language} STREQUAL "ukraineb")
+ set(language "ukrainian")
+ elseif(${language} STREQUAL "usorbian")
+ set(language "upper-sorbian")
+ endif()
+ if(language)
+ set(language_flags "-L ${language}")
+ else()
+ set(language_flags "")
+ endif()
+
+ latex_file_match(codepage_line ${aux_file}
+ "@gls@codepage[ \t]*{${glossary_name}}{([^}]*)}"
+ "@gls@codepage{${glossary_name}}{utf}"
+ )
+ string(REGEX REPLACE
+ "@gls@codepage[ \t]*{${glossary_name}}{([^}]*)}"
+ "\\1"
+ codepage
+ ${codepage_line}
+ )
+ if(codepage)
+ set(codepage_flags "-C ${codepage}")
+ else()
+ # Ideally, we would check that the language is compatible with the
+ # default codepage, but I'm hoping that distributions will be smart
+ # enough to specify their own codepage. I know, it's asking a lot.
+ set(codepage_flags "")
+ endif()
+
+ message("${XINDY_COMPILER} ${MAKEGLOSSARIES_COMPILER_FLAGS} ${language_flags} ${codepage_flags} -I xindy -M ${glossary_name} -t ${glossary_log} -o ${glossary_out} ${glossary_in}"
+ )
+ exec_program(${XINDY_COMPILER}
+ ARGS ${MAKEGLOSSARIES_COMPILER_FLAGS}
+ ${language_flags}
+ ${codepage_flags}
+ -I xindy
+ -M ${glossary_name}
+ -t ${glossary_log}
+ -o ${glossary_out}
+ ${glossary_in}
+ OUTPUT_VARIABLE xindy_output
+ )
+ message("${xindy_output}")
+
+ # So, it is possible (perhaps common?) for aux files to specify a
+ # language and codepage that are incompatible with each other. Check
+ # for that condition, and if it happens run again with the default
+ # codepage.
+ if("${xindy_output}" MATCHES "^Cannot locate xindy module for language (.+) in codepage (.+)\\.$")
+ message("*************** Retrying xindy with default codepage.")
+ exec_program(${XINDY_COMPILER}
+ ARGS ${MAKEGLOSSARIES_COMPILER_FLAGS}
+ ${language_flags}
+ -I xindy
+ -M ${glossary_name}
+ -t ${glossary_log}
+ -o ${glossary_out}
+ ${glossary_in}
+ )
+ endif()
+
+ else()
+ message("${MAKEINDEX_COMPILER} ${MAKEGLOSSARIES_COMPILER_FLAGS} -s ${istfile} -t ${glossary_log} -o ${glossary_out} ${glossary_in}")
+ exec_program(${MAKEINDEX_COMPILER} ARGS ${MAKEGLOSSARIES_COMPILER_FLAGS}
+ -s ${istfile} -t ${glossary_log} -o ${glossary_out} ${glossary_in}
+ )
+ endif()
+
+ endforeach(newglossary)
+endfunction(latex_makeglossaries)
+
+function(latex_makenomenclature)
+ message("**************************** In makenomenclature")
+ if(NOT LATEX_TARGET)
+ message(SEND_ERROR "Need to define LATEX_TARGET")
+ endif()
+
+ if(NOT MAKEINDEX_COMPILER)
+ message(SEND_ERROR "Need to define MAKEINDEX_COMPILER")
+ endif()
+
+ set(nomencl_out ${LATEX_TARGET}.nls)
+ set(nomencl_in ${LATEX_TARGET}.nlo)
+
+ exec_program(${MAKEINDEX_COMPILER} ARGS ${MAKENOMENCLATURE_COMPILER_FLAGS}
+ ${nomencl_in} -s "nomencl.ist" -o ${nomencl_out}
+ )
+endfunction(latex_makenomenclature)
+
+function(latex_correct_synctex)
+ message("**************************** In correct SyncTeX")
+ if(NOT LATEX_TARGET)
+ message(SEND_ERROR "Need to define LATEX_TARGET")
+ endif()
+
+ if(NOT GZIP)
+ message(SEND_ERROR "Need to define GZIP")
+ endif()
+
+ if(NOT LATEX_SOURCE_DIRECTORY)
+ message(SEND_ERROR "Need to define LATEX_SOURCE_DIRECTORY")
+ endif()
+
+ if(NOT LATEX_BINARY_DIRECTORY)
+ message(SEND_ERROR "Need to define LATEX_BINARY_DIRECTORY")
+ endif()
+
+ set(synctex_file ${LATEX_BINARY_DIRECTORY}/${LATEX_TARGET}.synctex)
+ set(synctex_file_gz ${synctex_file}.gz)
+
+ if(EXISTS ${synctex_file_gz})
+
+ message("Making backup of synctex file.")
+ configure_file(${synctex_file_gz} ${synctex_file}.bak.gz COPYONLY)
+
+ message("Uncompressing synctex file.")
+ exec_program(${GZIP}
+ ARGS --decompress ${synctex_file_gz}
+ )
+
+ message("Reading synctex file.")
+ file(READ ${synctex_file} synctex_data)
+
+ message("Replacing relative with absolute paths.")
+ string(REGEX REPLACE
+ "(Input:[0-9]+:)([^/\n][^\n]*)"
+ "\\1${LATEX_SOURCE_DIRECTORY}/\\2"
+ synctex_data
+ "${synctex_data}"
+ )
+
+ message("Writing synctex file.")
+ file(WRITE ${synctex_file} "${synctex_data}")
+
+ message("Compressing synctex file.")
+ exec_program(${GZIP}
+ ARGS ${synctex_file}
+ )
+
+ else()
+
+ message(SEND_ERROR "File ${synctex_file_gz} not found. Perhaps synctex is not supported by your LaTeX compiler.")
+
+ endif()
+
+endfunction(latex_correct_synctex)
+
+#############################################################################
+# Helper functions for establishing LaTeX build.
+#############################################################################
+
+function(latex_needit VAR NAME)
+ if(NOT ${VAR})
+ message(SEND_ERROR "I need the ${NAME} command.")
+ endif()
+endfunction(latex_needit)
+
+function(latex_wantit VAR NAME)
+ if(NOT ${VAR})
+ message(STATUS "I could not find the ${NAME} command.")
+ endif()
+endfunction(latex_wantit)
+
+function(latex_setup_variables)
+ set(LATEX_OUTPUT_PATH "${LATEX_OUTPUT_PATH}"
+ CACHE PATH "If non empty, specifies the location to place LaTeX output."
+ )
+
+ find_package(LATEX)
+ if(NOT BIBER_COMPILER)
+ find_program(BIBER_COMPILER
+ NAMES biber
+ PATHS ${MIKTEX_BINARY_PATH}
+ /usr/bin
+ )
+ endif()
+
+ find_program(XINDY_COMPILER
+ NAME xindy
+ PATHS ${MIKTEX_BINARY_PATH} /usr/bin
+ )
+
+ find_package(UnixCommands)
+
+ find_program(PDFTOPS_CONVERTER
+ NAMES pdftops
+ DOC "The pdf to ps converter program from the Poppler package."
+ )
+
+ mark_as_advanced(
+ LATEX_COMPILER
+ PDFLATEX_COMPILER
+ BIBTEX_COMPILER
+ BIBER_COMPILER
+ MAKEINDEX_COMPILER
+ XINDY_COMPILER
+ DVIPS_CONVERTER
+ PS2PDF_CONVERTER
+ PDFTOPS_CONVERTER
+ LATEX2HTML_CONVERTER
+ )
+
+ latex_needit(LATEX_COMPILER latex)
+ latex_wantit(PDFLATEX_COMPILER pdflatex)
+ latex_needit(BIBTEX_COMPILER bibtex)
+ latex_wantit(BIBER_COMPILER biber)
+ latex_needit(MAKEINDEX_COMPILER makeindex)
+ latex_wantit(DVIPS_CONVERTER dvips)
+ latex_wantit(PS2PDF_CONVERTER ps2pdf)
+ latex_wantit(PDFTOPS_CONVERTER pdftops)
+ # MiKTeX calls latex2html htlatex
+ if(NOT ${LATEX2HTML_CONVERTER})
+ find_program(HTLATEX_CONVERTER
+ NAMES htlatex
+ PATHS ${MIKTEX_BINARY_PATH}
+ /usr/bin
+ )
+ mark_as_advanced(HTLATEX_CONVERTER)
+ if(HTLATEX_CONVERTER)
+ set(USING_HTLATEX TRUE CACHE INTERNAL "True when using MiKTeX htlatex instead of latex2html" FORCE)
+ set(LATEX2HTML_CONVERTER ${HTLATEX_CONVERTER}
+ CACHE FILEPATH "htlatex taking the place of latex2html" FORCE)
+ else()
+ set(USING_HTLATEX FALSE CACHE INTERNAL "True when using MiKTeX htlatex instead of latex2html" FORCE)
+ endif()
+ endif()
+ latex_wantit(LATEX2HTML_CONVERTER latex2html)
+
+ set(LATEX_COMPILER_FLAGS "-interaction=nonstopmode"
+ CACHE STRING "Flags passed to latex.")
+ set(PDFLATEX_COMPILER_FLAGS ${LATEX_COMPILER_FLAGS}
+ CACHE STRING "Flags passed to pdflatex.")
+ set(LATEX_SYNCTEX_FLAGS "-synctex=1"
+ CACHE STRING "latex/pdflatex flags used to create synctex file.")
+ set(BIBTEX_COMPILER_FLAGS ""
+ CACHE STRING "Flags passed to bibtex.")
+ set(BIBER_COMPILER_FLAGS ""
+ CACHE STRING "Flags passed to biber.")
+ set(MAKEINDEX_COMPILER_FLAGS ""
+ CACHE STRING "Flags passed to makeindex.")
+ set(MAKEGLOSSARIES_COMPILER_FLAGS ""
+ CACHE STRING "Flags passed to makeglossaries.")
+ set(MAKENOMENCLATURE_COMPILER_FLAGS ""
+ CACHE STRING "Flags passed to makenomenclature.")
+ set(DVIPS_CONVERTER_FLAGS "-Ppdf -G0 -t letter"
+ CACHE STRING "Flags passed to dvips.")
+ set(PS2PDF_CONVERTER_FLAGS "-dMaxSubsetPct=100 -dCompatibilityLevel=1.3 -dSubsetFonts=true -dEmbedAllFonts=true -dAutoFilterColorImages=false -dAutoFilterGrayImages=false -dColorImageFilter=/FlateEncode -dGrayImageFilter=/FlateEncode -dMonoImageFilter=/FlateEncode"
+ CACHE STRING "Flags passed to ps2pdf.")
+ set(PDFTOPS_CONVERTER_FLAGS -r 600
+ CACHE STRING "Flags passed to pdftops.")
+ set(LATEX2HTML_CONVERTER_FLAGS ""
+ CACHE STRING "Flags passed to latex2html.")
+ mark_as_advanced(
+ LATEX_COMPILER_FLAGS
+ PDFLATEX_COMPILER_FLAGS
+ LATEX_SYNCTEX_FLAGS
+ BIBTEX_COMPILER_FLAGS
+ BIBER_COMPILER_FLAGS
+ MAKEINDEX_COMPILER_FLAGS
+ MAKEGLOSSARIES_COMPILER_FLAGS
+ MAKENOMENCLATURE_COMPILER_FLAGS
+ DVIPS_CONVERTER_FLAGS
+ PS2PDF_CONVERTER_FLAGS
+ PDFTOPS_CONVERTER_FLAGS
+ LATEX2HTML_CONVERTER_FLAGS
+ )
+ separate_arguments(LATEX_COMPILER_FLAGS)
+ separate_arguments(PDFLATEX_COMPILER_FLAGS)
+ separate_arguments(LATEX_SYNCTEX_FLAGS)
+ separate_arguments(BIBTEX_COMPILER_FLAGS)
+ separate_arguments(BIBER_COMPILER_FLAGS)
+ separate_arguments(MAKEINDEX_COMPILER_FLAGS)
+ separate_arguments(MAKEGLOSSARIES_COMPILER_FLAGS)
+ separate_arguments(MAKENOMENCLATURE_COMPILER_FLAGS)
+ separate_arguments(DVIPS_CONVERTER_FLAGS)
+ separate_arguments(PS2PDF_CONVERTER_FLAGS)
+ separate_arguments(PDFTOPS_CONVERTER_FLAGS)
+ separate_arguments(LATEX2HTML_CONVERTER_FLAGS)
+
+ find_program(IMAGEMAGICK_CONVERT
+ NAMES magick convert
+ DOC "The convert program that comes with ImageMagick (available at http://www.imagemagick.org)."
+ )
+ mark_as_advanced(IMAGEMAGICK_CONVERT)
+
+ if(DEFINED ENV{LATEX_DEFAULT_BUILD})
+ set(default_build $ENV{LATEX_DEFAULT_BUILD})
+ else()
+ set(default_build pdf)
+ endif()
+
+ set(LATEX_DEFAULT_BUILD "${default_build}" CACHE STRING
+ "Choose the default type of LaTeX build. Valid options are pdf, dvi, ps, safepdf, html"
+ )
+ set_property(CACHE LATEX_DEFAULT_BUILD
+ PROPERTY STRINGS pdf dvi ps safepdf html
+ )
+
+ option(LATEX_USE_SYNCTEX
+ "If on, have LaTeX generate a synctex file, which WYSIWYG editors can use to correlate output files like dvi and pdf with the lines of LaTeX source that generates them. In addition to adding the LATEX_SYNCTEX_FLAGS to the command line, this option also adds build commands that \"corrects\" the resulting synctex file to point to the original LaTeX files rather than those generated by UseLATEX.cmake."
+ OFF
+ )
+
+ option(LATEX_SMALL_IMAGES
+ "If on, the raster images will be converted to 1/6 the original size. This is because papers usually require 600 dpi images whereas most monitors only require at most 96 dpi. Thus, smaller images make smaller files for web distribution and can make it faster to read dvi files."
+ OFF)
+ if(LATEX_SMALL_IMAGES)
+ set(LATEX_RASTER_SCALE 16 PARENT_SCOPE)
+ set(LATEX_OPPOSITE_RASTER_SCALE 100 PARENT_SCOPE)
+ else()
+ set(LATEX_RASTER_SCALE 100 PARENT_SCOPE)
+ set(LATEX_OPPOSITE_RASTER_SCALE 16 PARENT_SCOPE)
+ endif()
+
+ # Just holds extensions for known image types. They should all be lower case.
+ # For historical reasons, these are all declared in the global scope.
+ set(LATEX_DVI_VECTOR_IMAGE_EXTENSIONS .eps CACHE INTERNAL "")
+ set(LATEX_DVI_RASTER_IMAGE_EXTENSIONS CACHE INTERNAL "")
+ set(LATEX_DVI_IMAGE_EXTENSIONS
+ ${LATEX_DVI_VECTOR_IMAGE_EXTENSIONS}
+ ${LATEX_DVI_RASTER_IMAGE_EXTENSIONS}
+ CACHE INTERNAL ""
+ )
+
+ set(LATEX_PDF_VECTOR_IMAGE_EXTENSIONS .pdf CACHE INTERNAL "")
+ set(LATEX_PDF_RASTER_IMAGE_EXTENSIONS .jpeg .jpg .png CACHE INTERNAL "")
+ set(LATEX_PDF_IMAGE_EXTENSIONS
+ ${LATEX_PDF_VECTOR_IMAGE_EXTENSIONS}
+ ${LATEX_PDF_RASTER_IMAGE_EXTENSIONS}
+ CACHE INTERNAL ""
+ )
+
+ set(LATEX_OTHER_VECTOR_IMAGE_EXTENSIONS .ai .dot .svg CACHE INTERNAL "")
+ set(LATEX_OTHER_RASTER_IMAGE_EXTENSIONS
+ .bmp .bmp2 .bmp3 .dcm .dcx .ico .gif .pict .ppm .tif .tiff
+ CACHE INTERNAL "")
+ set(LATEX_OTHER_IMAGE_EXTENSIONS
+ ${LATEX_OTHER_VECTOR_IMAGE_EXTENSIONS}
+ ${LATEX_OTHER_RASTER_IMAGE_EXTENSIONS}
+ CACHE INTERNAL ""
+ )
+
+ set(LATEX_VECTOR_IMAGE_EXTENSIONS
+ ${LATEX_DVI_VECTOR_IMAGE_EXTENSIONS}
+ ${LATEX_PDF_VECTOR_IMAGE_EXTENSIONS}
+ ${LATEX_OTHER_VECTOR_IMAGE_EXTENSIONS}
+ CACHE INTERNAL ""
+ )
+ set(LATEX_RASTER_IMAGE_EXTENSIONS
+ ${LATEX_DVI_RASTER_IMAGE_EXTENSIONS}
+ ${LATEX_PDF_RASTER_IMAGE_EXTENSIONS}
+ ${LATEX_OTHER_RASTER_IMAGE_EXTENSIONS}
+ CACHE INTERNAL ""
+ )
+ set(LATEX_IMAGE_EXTENSIONS
+ ${LATEX_DVI_IMAGE_EXTENSIONS}
+ ${LATEX_PDF_IMAGE_EXTENSIONS}
+ ${LATEX_OTHER_IMAGE_EXTENSIONS}
+ CACHE INTERNAL ""
+ )
+endfunction(latex_setup_variables)
+
+function(latex_setup_targets)
+ if(NOT TARGET pdf)
+ add_custom_target(pdf)
+ endif()
+ if(NOT TARGET dvi)
+ add_custom_target(dvi)
+ endif()
+ if(NOT TARGET ps)
+ add_custom_target(ps)
+ endif()
+ if(NOT TARGET safepdf)
+ add_custom_target(safepdf)
+ endif()
+ if(NOT TARGET html)
+ add_custom_target(html)
+ endif()
+ if(NOT TARGET auxclean)
+ add_custom_target(auxclean)
+ endif()
+endfunction(latex_setup_targets)
+
+function(latex_get_output_path var)
+ set(latex_output_path)
+ if(LATEX_OUTPUT_PATH)
+ get_filename_component(
+ LATEX_OUTPUT_PATH_FULL "${LATEX_OUTPUT_PATH}" ABSOLUTE
+ )
+ if("${LATEX_OUTPUT_PATH_FULL}" STREQUAL "${CMAKE_CURRENT_SOURCE_DIR}")
+ message(SEND_ERROR "You cannot set LATEX_OUTPUT_PATH to the same directory that contains LaTeX input files.")
+ else()
+ set(latex_output_path "${LATEX_OUTPUT_PATH_FULL}")
+ endif()
+ else()
+ if("${CMAKE_CURRENT_BINARY_DIR}" STREQUAL "${CMAKE_CURRENT_SOURCE_DIR}")
+ message(SEND_ERROR "LaTeX files must be built out of source or you must set LATEX_OUTPUT_PATH.")
+ else()
+ set(latex_output_path "${CMAKE_CURRENT_BINARY_DIR}")
+ endif()
+ endif()
+ set(${var} ${latex_output_path} PARENT_SCOPE)
+endfunction(latex_get_output_path)
+
+function(latex_add_convert_command
+ output_path
+ input_path
+ output_extension
+ input_extension
+ flags
+ )
+ set(require_imagemagick_convert TRUE)
+ set(convert_flags "")
+ if(${input_extension} STREQUAL ".eps" AND ${output_extension} STREQUAL ".pdf")
+ # ImageMagick has broken eps to pdf conversion
+ # use ps2pdf instead
+ if(PS2PDF_CONVERTER)
+ set(require_imagemagick_convert FALSE)
+ set(converter ${PS2PDF_CONVERTER})
+ set(convert_flags -dEPSCrop ${PS2PDF_CONVERTER_FLAGS})
+ else()
+ message(SEND_ERROR "Using postscript files with pdflatex requires ps2pdf for conversion.")
+ endif()
+ elseif(${input_extension} STREQUAL ".pdf" AND ${output_extension} STREQUAL ".eps")
+ # ImageMagick can also be sketchy on pdf to eps conversion. Not good with
+ # color spaces and tends to unnecessarily rasterize.
+ # use pdftops instead
+ if(PDFTOPS_CONVERTER)
+ set(require_imagemagick_convert FALSE)
+ set(converter ${PDFTOPS_CONVERTER})
+ set(convert_flags -eps ${PDFTOPS_CONVERTER_FLAGS})
+ else()
+ message(STATUS "Consider getting pdftops from Poppler to convert PDF images to EPS images.")
+ set(convert_flags ${flags})
+ endif()
+ else()
+ set(convert_flags ${flags})
+ endif()
+
+ if(require_imagemagick_convert)
+ if(IMAGEMAGICK_CONVERT)
+ string(TOLOWER ${IMAGEMAGICK_CONVERT} IMAGEMAGICK_CONVERT_LOWERCASE)
+ if(${IMAGEMAGICK_CONVERT_LOWERCASE} MATCHES "system32[/\\\\]convert\\.exe")
+ message(SEND_ERROR "IMAGEMAGICK_CONVERT set to Window's convert.exe for changing file systems rather than ImageMagick's convert for changing image formats. Please make sure ImageMagick is installed (available at http://www.imagemagick.org). If you have a recent version of ImageMagick (7.0 or higher), use the magick program instead of convert for IMAGEMAGICK_CONVERT.")
+ else()
+ set(converter ${IMAGEMAGICK_CONVERT})
+ endif()
+ else()
+ message(SEND_ERROR "Could not find convert program. Please download ImageMagick from http://www.imagemagick.org and install.")
+ endif()
+ endif()
+
+ add_custom_command(OUTPUT ${output_path}
+ COMMAND ${converter}
+ ARGS ${convert_flags} ${input_path} ${output_path}
+ DEPENDS ${input_path}
+ )
+endfunction(latex_add_convert_command)
+
+# Makes custom commands to convert a file to a particular type.
+function(latex_convert_image
+ output_files_var
+ input_file
+ output_extension
+ convert_flags
+ output_extensions
+ other_files
+ )
+ set(output_file_list)
+ set(input_dir ${CMAKE_CURRENT_SOURCE_DIR})
+ latex_get_output_path(output_dir)
+
+ latex_get_filename_component(extension "${input_file}" EXT)
+
+ # Check input filename for potential problems with LaTeX.
+ latex_get_filename_component(name "${input_file}" NAME_WE)
+ if(name MATCHES ".*\\..*")
+ string(REPLACE "." "-" suggested_name "${name}")
+ set(suggested_name "${suggested_name}${extension}")
+ message(WARNING "Some LaTeX distributions have problems with image file names with multiple extensions. Consider changing ${name}${extension} to something like ${suggested_name}.")
+ endif()
+
+ string(REGEX REPLACE "\\.[^.]*\$" ${output_extension} output_file
+ "${input_file}")
+
+ latex_list_contains(is_type ${extension} ${output_extensions})
+ if(is_type)
+ if(convert_flags)
+ latex_add_convert_command(${output_dir}/${output_file}
+ ${input_dir}/${input_file} ${output_extension} ${extension}
+ "${convert_flags}")
+ set(output_file_list ${output_dir}/${output_file})
+ else()
+ # As a shortcut, we can just copy the file.
+ add_custom_command(OUTPUT ${output_dir}/${input_file}
+ COMMAND ${CMAKE_COMMAND}
+ ARGS -E copy ${input_dir}/${input_file} ${output_dir}/${input_file}
+ DEPENDS ${input_dir}/${input_file}
+ )
+ set(output_file_list ${output_dir}/${input_file})
+ endif()
+ else()
+ set(do_convert TRUE)
+ # Check to see if there is another input file of the appropriate type.
+ foreach(valid_extension ${output_extensions})
+ string(REGEX REPLACE "\\.[^.]*\$" ${output_extension} try_file
+ "${input_file}")
+ latex_list_contains(has_native_file "${try_file}" ${other_files})
+ if(has_native_file)
+ set(do_convert FALSE)
+ endif()
+ endforeach(valid_extension)
+
+ # If we still need to convert, do it.
+ if(do_convert)
+ latex_add_convert_command(${output_dir}/${output_file}
+ ${input_dir}/${input_file} ${output_extension} ${extension}
+ "${convert_flags}")
+ set(output_file_list ${output_dir}/${output_file})
+ endif()
+ endif()
+
+ set(${output_files_var} ${output_file_list} PARENT_SCOPE)
+endfunction(latex_convert_image)
+
+# Adds custom commands to process the given files for dvi and pdf builds.
+# Adds the output files to the given variables (does not replace).
+function(latex_process_images dvi_outputs_var pdf_outputs_var)
+ latex_get_output_path(output_dir)
+ set(dvi_outputs)
+ set(pdf_outputs)
+ foreach(file ${ARGN})
+ if(EXISTS "${CMAKE_CURRENT_SOURCE_DIR}/${file}")
+ latex_get_filename_component(extension "${file}" EXT)
+ set(convert_flags)
+
+ # Check to see if we need to downsample the image.
+ latex_list_contains(is_raster "${extension}"
+ ${LATEX_RASTER_IMAGE_EXTENSIONS})
+ if(LATEX_SMALL_IMAGES)
+ if(is_raster)
+ set(convert_flags -resize ${LATEX_RASTER_SCALE}%)
+ endif()
+ endif()
+
+ # Make sure the output directory exists.
+ latex_get_filename_component(path "${output_dir}/${file}" PATH)
+ make_directory("${path}")
+
+ # Do conversions for dvi.
+ latex_convert_image(output_files "${file}" .eps "${convert_flags}"
+ "${LATEX_DVI_IMAGE_EXTENSIONS}" "${ARGN}")
+ list(APPEND dvi_outputs ${output_files})
+
+ # Do conversions for pdf.
+ if(is_raster)
+ latex_convert_image(output_files "${file}" .png "${convert_flags}"
+ "${LATEX_PDF_IMAGE_EXTENSIONS}" "${ARGN}")
+ list(APPEND pdf_outputs ${output_files})
+ else()
+ latex_convert_image(output_files "${file}" .pdf "${convert_flags}"
+ "${LATEX_PDF_IMAGE_EXTENSIONS}" "${ARGN}")
+ list(APPEND pdf_outputs ${output_files})
+ endif()
+ else()
+ message(WARNING "Could not find file ${CMAKE_CURRENT_SOURCE_DIR}/${file}. Are you sure you gave relative paths to IMAGES?")
+ endif()
+ endforeach(file)
+
+ set(${dvi_outputs_var} ${dvi_outputs} PARENT_SCOPE)
+ set(${pdf_outputs_var} ${pdf_outputs} PARENT_SCOPE)
+endfunction(latex_process_images)
+
+function(latex_copy_globbed_files pattern dest)
+ file(GLOB file_list ${pattern})
+ foreach(in_file ${file_list})
+ latex_get_filename_component(out_file ${in_file} NAME)
+ configure_file(${in_file} ${dest}/${out_file} COPYONLY)
+ endforeach(in_file)
+endfunction(latex_copy_globbed_files)
+
+function(latex_copy_input_file file)
+ latex_get_output_path(output_dir)
+
+ if(EXISTS ${CMAKE_CURRENT_SOURCE_DIR}/${file})
+ latex_get_filename_component(path ${file} PATH)
+ file(MAKE_DIRECTORY ${output_dir}/${path})
+
+ latex_list_contains(use_config ${file} ${LATEX_CONFIGURE})
+ if(use_config)
+ configure_file(${CMAKE_CURRENT_SOURCE_DIR}/${file}
+ ${output_dir}/${file}
+ @ONLY
+ )
+ add_custom_command(OUTPUT ${output_dir}/${file}
+ COMMAND ${CMAKE_COMMAND}
+ ARGS ${CMAKE_BINARY_DIR}
+ DEPENDS ${CMAKE_CURRENT_SOURCE_DIR}/${file}
+ )
+ else()
+ add_custom_command(OUTPUT ${output_dir}/${file}
+ COMMAND ${CMAKE_COMMAND}
+ ARGS -E copy ${CMAKE_CURRENT_SOURCE_DIR}/${file} ${output_dir}/${file}
+ DEPENDS ${CMAKE_CURRENT_SOURCE_DIR}/${file}
+ )
+ endif()
+ else()
+ if(EXISTS ${output_dir}/${file})
+ # Special case: output exists but input does not. Assume that it was
+ # created elsewhere and skip the input file copy.
+ else()
+ message("Could not find input file ${CMAKE_CURRENT_SOURCE_DIR}/${file}")
+ endif()
+ endif()
+endfunction(latex_copy_input_file)
+
+#############################################################################
+# Commands provided by the UseLATEX.cmake "package"
+#############################################################################
+
+function(latex_usage command message)
+ message(SEND_ERROR
+ "${message}\n Usage: ${command}(<tex_file>\n [BIBFILES <bib_file> <bib_file> ...]\n [INPUTS <tex_file> <tex_file> ...]\n [IMAGE_DIRS <directory1> <directory2> ...]\n [IMAGES <image_file1> <image_file2>\n [CONFIGURE <tex_file> <tex_file> ...]\n [DEPENDS <tex_file> <tex_file> ...]\n [MULTIBIB_NEWCITES] <suffix_list>\n [USE_BIBLATEX] [USE_INDEX] [USE_GLOSSARY] [USE_NOMENCL]\n [FORCE_PDF] [FORCE_DVI] [FORCE_HTML]\n [TARGET_NAME] <name>\n [EXCLUDE_FROM_ALL]\n [EXCLUDE_FROM_DEFAULTS])"
+ )
+endfunction(latex_usage command message)
+
+# Parses arguments to add_latex_document and ADD_LATEX_TARGETS and sets the
+# variables LATEX_TARGET, LATEX_IMAGE_DIR, LATEX_BIBFILES, LATEX_DEPENDS, and
+# LATEX_INPUTS.
+function(parse_add_latex_arguments command latex_main_input)
+ set(options
+ USE_BIBLATEX
+ USE_INDEX
+ USE_GLOSSARY
+ USE_NOMENCL
+ FORCE_PDF
+ FORCE_DVI
+ FORCE_HTML
+ EXCLUDE_FROM_ALL
+ EXCLUDE_FROM_DEFAULTS
+ # Deprecated options
+ USE_GLOSSARIES
+ DEFAULT_PDF
+ DEFAULT_SAFEPDF
+ DEFAULT_PS
+ NO_DEFAULT
+ MANGLE_TARGET_NAMES
+ )
+ set(oneValueArgs
+ TARGET_NAME
+ )
+ set(multiValueArgs
+ BIBFILES
+ MULTIBIB_NEWCITES
+ INPUTS
+ IMAGE_DIRS
+ IMAGES
+ CONFIGURE
+ DEPENDS
+ INDEX_NAMES
+ )
+ cmake_parse_arguments(
+ LATEX "${options}" "${oneValueArgs}" "${multiValueArgs}" ${ARGN})
+
+ # Handle invalid and deprecated arguments
+ if(LATEX_UNPARSED_ARGUMENTS)
+ latex_usage(${command} "Invalid or deprecated arguments: ${LATEX_UNPARSED_ARGUMENTS}")
+ endif()
+ if(LATEX_USE_GLOSSARIES)
+ latex_usage(${command} "USE_GLOSSARIES option removed in version 1.6.1. Use USE_GLOSSARY instead.")
+ endif()
+ if(LATEX_DEFAULT_PDF)
+ latex_usage(${command} "DEFAULT_PDF option removed in version 2.0. Use FORCE_PDF option or LATEX_DEFAULT_BUILD CMake variable instead.")
+ endif()
+ if(LATEX_DEFAULT_SAFEPDF)
+ latex_usage(${command} "DEFAULT_SAFEPDF option removed in version 2.0. Use LATEX_DEFAULT_BUILD CMake variable instead.")
+ endif()
+ if(LATEX_DEFAULT_DVI)
+ latex_usage(${command} "DEFAULT_DVI option removed in version 2.0. Use FORCE_DVI option or LATEX_DEFAULT_BUILD CMake variable instead.")
+ endif()
+ if(LATEX_NO_DEFAULT)
+ latex_usage(${command} "NO_DEFAULT option removed in version 2.0. Use EXCLUDE_FROM_ALL instead.")
+ endif()
+ if(LATEX_MANGLE_TARGET_NAMES)
+ latex_usage(${command} "MANGLE_TARGET_NAMES option removed in version 2.0. All LaTeX targets use mangled names now.")
+ endif()
+
+ # Capture the first argument, which is the main LaTeX input.
+ latex_get_filename_component(latex_target ${latex_main_input} NAME_WE)
+ set(LATEX_MAIN_INPUT ${latex_main_input} PARENT_SCOPE)
+ set(LATEX_TARGET ${latex_target} PARENT_SCOPE)
+
+ # Propagate the result variables to the caller
+ foreach(arg_name ${options} ${oneValueArgs} ${multiValueArgs})
+ set(var_name LATEX_${arg_name})
+ set(${var_name} ${${var_name}} PARENT_SCOPE)
+ endforeach(arg_name)
+endfunction(parse_add_latex_arguments)
+
+function(add_latex_targets_internal)
+ if(LATEX_USE_SYNCTEX)
+ set(synctex_flags ${LATEX_SYNCTEX_FLAGS})
+ else()
+ set(synctex_flags)
+ endif()
+
+ # The commands to run LaTeX. They are repeated multiple times.
+ set(latex_build_command
+ ${LATEX_COMPILER} ${LATEX_COMPILER_FLAGS} ${synctex_flags} ${LATEX_MAIN_INPUT}
+ )
+ set(pdflatex_build_command
+ ${PDFLATEX_COMPILER} ${PDFLATEX_COMPILER_FLAGS} ${synctex_flags} ${LATEX_MAIN_INPUT}
+ )
+
+ if(NOT LATEX_TARGET_NAME)
+ set(LATEX_TARGET_NAME ${LATEX_TARGET})
+ endif()
+
+ # Some LaTeX commands may need to be modified (or may not work) if the main
+ # tex file is in a subdirectory. Make a flag for that.
+ get_filename_component(LATEX_MAIN_INPUT_SUBDIR ${LATEX_MAIN_INPUT} DIRECTORY)
+
+ # Set up target names.
+ set(dvi_target ${LATEX_TARGET_NAME}_dvi)
+ set(pdf_target ${LATEX_TARGET_NAME}_pdf)
+ set(ps_target ${LATEX_TARGET_NAME}_ps)
+ set(safepdf_target ${LATEX_TARGET_NAME}_safepdf)
+ set(html_target ${LATEX_TARGET_NAME}_html)
+ set(auxclean_target ${LATEX_TARGET_NAME}_auxclean)
+
+ # Probably not all of these will be generated, but they could be.
+ # Note that the aux file is added later.
+ set(auxiliary_clean_files
+ ${output_dir}/${LATEX_TARGET}.aux
+ ${output_dir}/${LATEX_TARGET}.bbl
+ ${output_dir}/${LATEX_TARGET}.blg
+ ${output_dir}/${LATEX_TARGET}-blx.bib
+ ${output_dir}/${LATEX_TARGET}.glg
+ ${output_dir}/${LATEX_TARGET}.glo
+ ${output_dir}/${LATEX_TARGET}.gls
+ ${output_dir}/${LATEX_TARGET}.idx
+ ${output_dir}/${LATEX_TARGET}.ilg
+ ${output_dir}/${LATEX_TARGET}.ind
+ ${output_dir}/${LATEX_TARGET}.ist
+ ${output_dir}/${LATEX_TARGET}.log
+ ${output_dir}/${LATEX_TARGET}.out
+ ${output_dir}/${LATEX_TARGET}.toc
+ ${output_dir}/${LATEX_TARGET}.lof
+ ${output_dir}/${LATEX_TARGET}.xdy
+ ${output_dir}/${LATEX_TARGET}.synctex.gz
+ ${output_dir}/${LATEX_TARGET}.synctex.bak.gz
+ ${output_dir}/${LATEX_TARGET}.dvi
+ ${output_dir}/${LATEX_TARGET}.ps
+ ${output_dir}/${LATEX_TARGET}.pdf
+ )
+
+ set(image_list ${LATEX_IMAGES})
+
+ # For each directory in LATEX_IMAGE_DIRS, glob all the image files and
+ # place them in LATEX_IMAGES.
+ foreach(dir ${LATEX_IMAGE_DIRS})
+ if(NOT EXISTS ${CMAKE_CURRENT_SOURCE_DIR}/${dir})
+ message(WARNING "Image directory ${CMAKE_CURRENT_SOURCE_DIR}/${dir} does not exist. Are you sure you gave relative directories to IMAGE_DIRS?")
+ endif()
+ foreach(extension ${LATEX_IMAGE_EXTENSIONS})
+ file(GLOB files ${CMAKE_CURRENT_SOURCE_DIR}/${dir}/*${extension})
+ foreach(file ${files})
+ latex_get_filename_component(filename ${file} NAME)
+ list(APPEND image_list ${dir}/${filename})
+ endforeach(file)
+ endforeach(extension)
+ endforeach(dir)
+
+ latex_process_images(dvi_images pdf_images ${image_list})
+
+ set(make_dvi_command
+ ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${latex_build_command})
+ set(make_pdf_command
+ ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${pdflatex_build_command}
+ )
+
+ set(make_dvi_depends ${LATEX_DEPENDS} ${dvi_images})
+ set(make_pdf_depends ${LATEX_DEPENDS} ${pdf_images})
+ foreach(input ${LATEX_MAIN_INPUT} ${LATEX_INPUTS})
+ list(APPEND make_dvi_depends ${output_dir}/${input})
+ list(APPEND make_pdf_depends ${output_dir}/${input})
+ if(${input} MATCHES "\\.tex$")
+ # Dependent .tex files might have their own .aux files created. Make
+ # sure these get cleaned as well. This might replicate the cleaning
+ # of the main .aux file, which is OK.
+ string(REGEX REPLACE "\\.tex$" "" input_we ${input})
+ list(APPEND auxiliary_clean_files
+ ${output_dir}/${input_we}.aux
+ ${output_dir}/${input}.aux
+ )
+ endif()
+ endforeach(input)
+
+ set(all_latex_sources ${LATEX_MAIN_INPUT} ${LATEX_INPUTS} ${image_list})
+
+ if(LATEX_USE_GLOSSARY)
+ foreach(dummy 0 1) # Repeat these commands twice.
+ set(make_dvi_command ${make_dvi_command}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${CMAKE_COMMAND}
+ -D LATEX_BUILD_COMMAND=makeglossaries
+ -D LATEX_TARGET=${LATEX_TARGET}
+ -D MAKEINDEX_COMPILER=${MAKEINDEX_COMPILER}
+ -D XINDY_COMPILER=${XINDY_COMPILER}
+ -D MAKEGLOSSARIES_COMPILER_FLAGS=${MAKEGLOSSARIES_COMPILER_FLAGS}
+ -P ${LATEX_USE_LATEX_LOCATION}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${latex_build_command}
+ )
+ set(make_pdf_command ${make_pdf_command}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${CMAKE_COMMAND}
+ -D LATEX_BUILD_COMMAND=makeglossaries
+ -D LATEX_TARGET=${LATEX_TARGET}
+ -D MAKEINDEX_COMPILER=${MAKEINDEX_COMPILER}
+ -D XINDY_COMPILER=${XINDY_COMPILER}
+ -D MAKEGLOSSARIES_COMPILER_FLAGS=${MAKEGLOSSARIES_COMPILER_FLAGS}
+ -P ${LATEX_USE_LATEX_LOCATION}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${pdflatex_build_command}
+ )
+ endforeach(dummy)
+ endif()
+
+ if(LATEX_USE_NOMENCL)
+ foreach(dummy 0 1) # Repeat these commands twice.
+ set(make_dvi_command ${make_dvi_command}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${CMAKE_COMMAND}
+ -D LATEX_BUILD_COMMAND=makenomenclature
+ -D LATEX_TARGET=${LATEX_TARGET}
+ -D MAKEINDEX_COMPILER=${MAKEINDEX_COMPILER}
+ -D MAKENOMENCLATURE_COMPILER_FLAGS=${MAKENOMENCLATURE_COMPILER_FLAGS}
+ -P ${LATEX_USE_LATEX_LOCATION}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${latex_build_command}
+ )
+ set(make_pdf_command ${make_pdf_command}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${CMAKE_COMMAND}
+ -D LATEX_BUILD_COMMAND=makenomenclature
+ -D LATEX_TARGET=${LATEX_TARGET}
+ -D MAKEINDEX_COMPILER=${MAKEINDEX_COMPILER}
+ -D MAKENOMENCLATURE_COMPILER_FLAGS=${MAKENOMENCLATURE_COMPILER_FLAGS}
+ -P ${LATEX_USE_LATEX_LOCATION}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${pdflatex_build_command}
+ )
+ endforeach(dummy)
+ endif()
+
+ if(LATEX_BIBFILES)
+ if(LATEX_USE_BIBLATEX)
+ if(NOT BIBER_COMPILER)
+ message(SEND_ERROR "I need the biber command.")
+ endif()
+ set(bib_compiler ${BIBER_COMPILER})
+ set(bib_compiler_flags ${BIBER_COMPILER_FLAGS})
+ else()
+ set(bib_compiler ${BIBTEX_COMPILER})
+ set(bib_compiler_flags ${BIBTEX_COMPILER_FLAGS})
+ endif()
+ if(LATEX_MULTIBIB_NEWCITES)
+ foreach (multibib_auxfile ${LATEX_MULTIBIB_NEWCITES})
+ latex_get_filename_component(multibib_target ${multibib_auxfile} NAME_WE)
+ set(make_dvi_command ${make_dvi_command}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${bib_compiler} ${bib_compiler_flags} ${multibib_target})
+ set(make_pdf_command ${make_pdf_command}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${bib_compiler} ${bib_compiler_flags} ${multibib_target})
+ set(auxiliary_clean_files ${auxiliary_clean_files}
+ ${output_dir}/${multibib_target}.aux)
+ endforeach (multibib_auxfile ${LATEX_MULTIBIB_NEWCITES})
+ else()
+ set(make_dvi_command ${make_dvi_command}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${bib_compiler} ${bib_compiler_flags} ${LATEX_TARGET})
+ set(make_pdf_command ${make_pdf_command}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${bib_compiler} ${bib_compiler_flags} ${LATEX_TARGET})
+ endif()
+
+ foreach (bibfile ${LATEX_BIBFILES})
+ list(APPEND make_dvi_depends ${output_dir}/${bibfile})
+ list(APPEND make_pdf_depends ${output_dir}/${bibfile})
+ endforeach (bibfile ${LATEX_BIBFILES})
+ else()
+ if(LATEX_MULTIBIB_NEWCITES)
+ message(WARNING "MULTIBIB_NEWCITES has no effect without BIBFILES option.")
+ endif()
+ endif()
+
+ if(LATEX_USE_INDEX)
+ if(LATEX_INDEX_NAMES)
+ set(INDEX_NAMES ${LATEX_INDEX_NAMES})
+ else()
+ set(INDEX_NAMES ${LATEX_TARGET})
+ endif()
+ foreach(idx_name ${INDEX_NAMES})
+ set(make_dvi_command ${make_dvi_command}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${latex_build_command}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${MAKEINDEX_COMPILER} ${MAKEINDEX_COMPILER_FLAGS} ${idx_name}.idx)
+ set(make_pdf_command ${make_pdf_command}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${pdflatex_build_command}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${MAKEINDEX_COMPILER} ${MAKEINDEX_COMPILER_FLAGS} ${idx_name}.idx)
+ set(auxiliary_clean_files ${auxiliary_clean_files}
+ ${output_dir}/${idx_name}.idx
+ ${output_dir}/${idx_name}.ilg
+ ${output_dir}/${idx_name}.ind)
+ endforeach()
+ else()
+ if(LATEX_INDEX_NAMES)
+ message(WARNING "INDEX_NAMES has no effect without USE_INDEX option.")
+ endif()
+ endif()
+
+ set(make_dvi_command ${make_dvi_command}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${latex_build_command}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${latex_build_command})
+ set(make_pdf_command ${make_pdf_command}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${pdflatex_build_command}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${pdflatex_build_command})
+
+ # Need to run one more time to remove biblatex' warning
+ # about page breaks that have changed.
+ if(LATEX_USE_BIBLATEX)
+ set(make_dvi_command ${make_dvi_command}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${latex_build_command})
+ set(make_pdf_command ${make_pdf_command}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${pdflatex_build_command})
+ endif()
+
+ if(LATEX_USE_SYNCTEX)
+ if(NOT GZIP)
+ message(SEND_ERROR "UseLATEX.cmake: USE_SYNTEX option requires gzip program. Set GZIP variable.")
+ endif()
+ set(make_dvi_command ${make_dvi_command}
+ COMMAND ${CMAKE_COMMAND}
+ -D LATEX_BUILD_COMMAND=correct_synctex
+ -D LATEX_TARGET=${LATEX_TARGET}
+ -D GZIP=${GZIP}
+ -D "LATEX_SOURCE_DIRECTORY=${CMAKE_CURRENT_SOURCE_DIR}"
+ -D "LATEX_BINARY_DIRECTORY=${output_dir}"
+ -P ${LATEX_USE_LATEX_LOCATION}
+ )
+ set(make_pdf_command ${make_pdf_command}
+ COMMAND ${CMAKE_COMMAND}
+ -D LATEX_BUILD_COMMAND=correct_synctex
+ -D LATEX_TARGET=${LATEX_TARGET}
+ -D GZIP=${GZIP}
+ -D "LATEX_SOURCE_DIRECTORY=${CMAKE_CURRENT_SOURCE_DIR}"
+ -D "LATEX_BINARY_DIRECTORY=${output_dir}"
+ -P ${LATEX_USE_LATEX_LOCATION}
+ )
+ endif()
+
+ # Capture the default build.
+ string(TOLOWER "${LATEX_DEFAULT_BUILD}" default_build)
+
+ if((NOT LATEX_FORCE_PDF) AND (NOT LATEX_FORCE_DVI) AND (NOT LATEX_FORCE_HTML))
+ set(no_force TRUE)
+ endif()
+
+ # Add commands and targets for building pdf outputs (with pdflatex).
+ if(LATEX_FORCE_PDF OR no_force)
+ if(LATEX_FORCE_PDF)
+ set(default_build pdf)
+ endif()
+
+ if(PDFLATEX_COMPILER)
+ add_custom_command(OUTPUT ${output_dir}/${LATEX_TARGET}.pdf
+ COMMAND ${make_pdf_command}
+ DEPENDS ${make_pdf_depends}
+ )
+ add_custom_target(${pdf_target}
+ DEPENDS ${output_dir}/${LATEX_TARGET}.pdf
+ SOURCES ${all_latex_sources}
+ )
+ if(NOT LATEX_EXCLUDE_FROM_DEFAULTS)
+ add_dependencies(pdf ${pdf_target})
+ endif()
+ endif()
+ endif()
+
+ # Add commands and targets for building dvi outputs.
+ if(LATEX_FORCE_DVI OR LATEX_FORCE_HTML OR no_force)
+ if(LATEX_FORCE_DVI)
+ if((NOT default_build STREQUAL dvi) AND
+ (NOT default_build STREQUAL ps) AND
+ (NOT default_build STREQUAL safepdf))
+ set(default_build dvi)
+ endif()
+ endif()
+
+ add_custom_command(OUTPUT ${output_dir}/${LATEX_TARGET}.dvi
+ COMMAND ${make_dvi_command}
+ DEPENDS ${make_dvi_depends}
+ )
+ add_custom_target(${dvi_target}
+ DEPENDS ${output_dir}/${LATEX_TARGET}.dvi
+ SOURCES ${all_latex_sources}
+ )
+ if(NOT LATEX_EXCLUDE_FROM_DEFAULTS)
+ add_dependencies(dvi ${dvi_target})
+ endif()
+
+ if(DVIPS_CONVERTER)
+ add_custom_command(OUTPUT ${output_dir}/${LATEX_TARGET}.ps
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${DVIPS_CONVERTER} ${DVIPS_CONVERTER_FLAGS} -o ${LATEX_TARGET}.ps ${LATEX_TARGET}.dvi
+ DEPENDS ${output_dir}/${LATEX_TARGET}.dvi)
+ add_custom_target(${ps_target}
+ DEPENDS ${output_dir}/${LATEX_TARGET}.ps
+ SOURCES ${all_latex_sources}
+ )
+ if(NOT LATEX_EXCLUDE_FROM_DEFAULTS)
+ add_dependencies(ps ${ps_target})
+ endif()
+ if(PS2PDF_CONVERTER)
+ # Since both the pdf and safepdf targets have the same output, we
+ # cannot properly do the dependencies for both. When selecting safepdf,
+ # simply force a recompile every time.
+ add_custom_target(${safepdf_target}
+ ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${PS2PDF_CONVERTER} ${PS2PDF_CONVERTER_FLAGS} ${LATEX_TARGET}.ps ${LATEX_TARGET}.pdf
+ DEPENDS ${ps_target}
+ )
+ if(NOT LATEX_EXCLUDE_FROM_DEFAULTS)
+ add_dependencies(safepdf ${safepdf_target})
+ endif()
+ endif()
+ endif()
+ endif()
+
+ if(LATEX_FORCE_HTML OR no_force)
+ if (LATEX_FORCE_HTML)
+ set(default_build html)
+ endif()
+
+ if(LATEX2HTML_CONVERTER AND LATEX_MAIN_INPUT_SUBDIR)
+ message(STATUS
+ "Disabling HTML build for ${LATEX_TARGET_NAME}.tex because the main file is in subdirectory ${LATEX_MAIN_INPUT_SUBDIR}"
+ )
+ # The code below to run HTML assumes that LATEX_TARGET.tex is in the
+ # current directory. I have tried to specify that LATEX_TARGET.tex is
+ # in a subdirectory. That makes the build targets correct, but the
+ # HTML build still fails (at least for htlatex) because files are not
+ # generated where expected. I am getting around the problem by simply
+ # disabling HTML in this case. If someone really cares, they can fix
+ # this, but make sure it runs on many platforms and build programs.
+ elseif(LATEX2HTML_CONVERTER)
+ if(USING_HTLATEX)
+ # htlatex places the output in a different location
+ set(HTML_OUTPUT "${output_dir}/${LATEX_TARGET}.html")
+ else()
+ set(HTML_OUTPUT "${output_dir}/${LATEX_TARGET}/${LATEX_TARGET}.html")
+ endif()
+ add_custom_command(OUTPUT ${HTML_OUTPUT}
+ COMMAND ${CMAKE_COMMAND} -E chdir ${output_dir}
+ ${LATEX2HTML_CONVERTER} ${LATEX2HTML_CONVERTER_FLAGS} ${LATEX_MAIN_INPUT}
+ DEPENDS ${output_dir}/${LATEX_TARGET}.tex
+ )
+ add_custom_target(${html_target}
+ DEPENDS ${HTML_OUTPUT} ${dvi_target}
+ SOURCES ${all_latex_sources}
+ )
+ if(NOT LATEX_EXCLUDE_FROM_DEFAULTS)
+ add_dependencies(html ${html_target})
+ endif()
+ endif()
+ endif()
+
+ # Set default targets.
+ if("${default_build}" STREQUAL "pdf")
+ add_custom_target(${LATEX_TARGET_NAME} DEPENDS ${pdf_target})
+ elseif("${default_build}" STREQUAL "dvi")
+ add_custom_target(${LATEX_TARGET_NAME} DEPENDS ${dvi_target})
+ elseif("${default_build}" STREQUAL "ps")
+ add_custom_target(${LATEX_TARGET_NAME} DEPENDS ${ps_target})
+ elseif("${default_build}" STREQUAL "safepdf")
+ add_custom_target(${LATEX_TARGET_NAME} DEPENDS ${safepdf_target})
+ elseif("${default_build}" STREQUAL "html")
+ add_custom_target(${LATEX_TARGET_NAME} DEPENDS ${html_target})
+ else()
+ message(SEND_ERROR "LATEX_DEFAULT_BUILD set to an invalid value. See the documentation for that variable.")
+ endif()
+
+ if(NOT LATEX_EXCLUDE_FROM_ALL)
+ add_custom_target(_${LATEX_TARGET_NAME} ALL DEPENDS ${LATEX_TARGET_NAME})
+ endif()
+
+ set_directory_properties(.
+ ADDITIONAL_MAKE_CLEAN_FILES "${auxiliary_clean_files}"
+ )
+
+ add_custom_target(${auxclean_target}
+ COMMENT "Cleaning auxiliary LaTeX files."
+ COMMAND ${CMAKE_COMMAND} -E remove ${auxiliary_clean_files}
+ )
+ add_dependencies(auxclean ${auxclean_target})
+endfunction(add_latex_targets_internal)
+
+function(add_latex_targets latex_main_input)
+ latex_get_output_path(output_dir)
+ parse_add_latex_arguments(ADD_LATEX_TARGETS ${latex_main_input} ${ARGN})
+
+ add_latex_targets_internal()
+endfunction(add_latex_targets)
+
+function(add_latex_document latex_main_input)
+ latex_get_output_path(output_dir)
+ if(output_dir)
+ parse_add_latex_arguments(add_latex_document ${latex_main_input} ${ARGN})
+
+ latex_copy_input_file(${LATEX_MAIN_INPUT})
+
+ foreach (bib_file ${LATEX_BIBFILES})
+ latex_copy_input_file(${bib_file})
+ endforeach (bib_file)
+
+ foreach (input ${LATEX_INPUTS})
+ latex_copy_input_file(${input})
+ endforeach(input)
+
+ latex_copy_globbed_files(${CMAKE_CURRENT_SOURCE_DIR}/*.cls ${output_dir})
+ latex_copy_globbed_files(${CMAKE_CURRENT_SOURCE_DIR}/*.bst ${output_dir})
+ latex_copy_globbed_files(${CMAKE_CURRENT_SOURCE_DIR}/*.clo ${output_dir})
+ latex_copy_globbed_files(${CMAKE_CURRENT_SOURCE_DIR}/*.sty ${output_dir})
+ latex_copy_globbed_files(${CMAKE_CURRENT_SOURCE_DIR}/*.ist ${output_dir})
+ latex_copy_globbed_files(${CMAKE_CURRENT_SOURCE_DIR}/*.fd ${output_dir})
+
+ add_latex_targets_internal()
+ endif()
+endfunction(add_latex_document)
+
+#############################################################################
+# Actually do stuff
+#############################################################################
+
+if(LATEX_BUILD_COMMAND)
+ set(command_handled)
+
+ if("${LATEX_BUILD_COMMAND}" STREQUAL makeglossaries)
+ latex_makeglossaries()
+ set(command_handled TRUE)
+ endif()
+
+ if("${LATEX_BUILD_COMMAND}" STREQUAL makenomenclature)
+ latex_makenomenclature()
+ set(command_handled TRUE)
+ endif()
+
+ if("${LATEX_BUILD_COMMAND}" STREQUAL correct_synctex)
+ latex_correct_synctex()
+ set(command_handled TRUE)
+ endif()
+
+ if(NOT command_handled)
+ message(SEND_ERROR "Unknown command: ${LATEX_BUILD_COMMAND}")
+ endif()
+
+else()
+ # Must be part of the actual configure (included from CMakeLists.txt).
+ latex_setup_variables()
+ latex_setup_targets()
+endif()
\ No newline at end of file
diff --git a/doc/user_guide/actions.tex b/doc/user_guide/actions.tex
new file mode 100755
index 0000000000000000000000000000000000000000..2c9a77582f391d52e7c91139014ec27efd87ed7c
--- /dev/null
+++ b/doc/user_guide/actions.tex
@@ -0,0 +1,61 @@
+
+%=================================================
+%=================================================
+%
+% WARNING: NOT USED IN opal_user_guide.tex
+%
+%=================================================
+%=================================================
+
+\chapter{Action Commands}
+\label{chp:action}
+\index{Action|(}
+
+\section{Normal-Form Analysis}
+\index{Normal Form!Dynamic}
+\index{Normal Form!Static}
+\index{Dynamic!Normal Form}
+\index{Static!Normal Form}
+Please note Tables are not yet supported in \noopalt and \noopalcycl. Normal-Form Analysis does not make sense in a non map based computation.
+The two commands
+\begin{verbatim}
+DYNAMIC, LINE=name, BEAM=name, FILE=string, ORDER=integer;
+STATIC, LINE=name, BEAM=name, FILE=string, ORDER=integer;
+\end{verbatim}
+both evaluate the truncated Taylor series map for one turn up to order
+\texttt{ORDER} and perform normal-form analysis on the result.
+Both have the following attributes:
+\begin{kdescription}
+\item[LINE]
+The label of a \textbf{beam line or sequence} \seechp{lines} defined
+previously (no default). Its transfer map will be evaluated and
+analysed to the desired order.
+\item[BEAM]
+The label of a \keyword{BEAM}~command \seechp{beam} defined
+previously (default = \texttt{UNNAMED\_BEAM}).
+\index{UNNAMED\_BEAM}
+It defines the charge, kinetic energy, rest mass,
+and reference velocity for the reference
+particle.
+\item[FILE]
+The name of the file to be written
+(default = "\texttt{dynamic}" or "\texttt{static}" respectively).
+\item[ORDER]
+The maximum order for the map.
+\end{kdescription}
+
+\subsection{Normal-Form Analysis for Dynamic Map}
+\label{sec:dynamic}
+\index{DYNAMIC}
+The \keyword{DYNAMIC} command interprets the transfer map as dynamic,
+i.e. there is synchrotron motion with an average momentum $p_s$.
+
+\subsection{Normal-Form Analysis for Static Map}
+\label{sec:static}
+\index{STATIC}
+The command assumes that there are no cavities,
+and interprets the transfer map as static,
+i.e. the particles have constant momentum.
+The \keyword{STATIC} command also finds the fixed point of the map,
+that is the variation of the closed orbit with momentum.
+\index{Action|)}
\ No newline at end of file
diff --git a/doc/user_guide/autophase.tex b/doc/user_guide/autophase.tex
new file mode 100644
index 0000000000000000000000000000000000000000..7f8a8072d34e15f23fd5c2dec5779c3b5029e89f
--- /dev/null
+++ b/doc/user_guide/autophase.tex
@@ -0,0 +1,157 @@
+\input{header}
+
+\chapter{Auto-phasing Algorithm}
+\label{chp:autophasing}
+%\index{Autophase Algorithm}
+
+\section{Standing Wave Cavity}
+\index{Autophase Algorithm!Standing Wave Cavity}
+In \opalt the elements are implemented as external fields that are read in from a file. The fields are described by a 1D, 2D or 3D sampling (equidistant or non-equidistant). To get the actual field at any position a linear interpolation multiplied by $\cos(\omega t + \varphi)$, where $\omega$ is the frequency and $\varphi$ is the lag. The energy gain of a particle then is
+\begin{equation}
+\Delta E(\varphi,r) = q\,V_{0}\,\int_{z_\text{begin}}^{z_\text{end}} \cos(\omega t(z,\varphi) + \varphi) E_z(z, r) dz.
+\end{equation}
+To maximize the energy gain we have to take the derivative with respect to the lag, $\varphi$ and set the result to zero:
+\begin{multline}
+\differential{\Delta E(\varphi,r)}{\varphi} = -\int_{z_\text{begin}}^{z_\text{end}} (1 + \omega \diffp{t(z,\varphi)}{\varphi}) \sin(\omega t(z,\varphi) + \varphi) E_z(z,r)\\
+= -\cos(\varphi) \int_{z_\text{begin}}^{z_\text{end}} (1 + \omega \diffp{t(z,\varphi)}{\varphi}) \sin(\omega t(z,\varphi)) E_z(z,r) dz \\
+-\sin(\varphi) \int_{z_\text{begin}}^{z_\text{end}} (1 + \omega \diffp{t(z,\varphi)}{\varphi}) \cos(\omega t(z,\varphi)) E_z(z,r) dz \stackrel{!}{=} 0.
+\end{multline}
+Thus to get the maximum energy the lag has to fulfill
+\begin{equation} \label{eq:rulelag}
+ \tan(\varphi) = -\frac{\Gamma_1}{\Gamma_2},
+\end{equation}
+where
+\begin{equation}
+ \label{eq:Gamma1}
+ \Gamma_1 = \sum_{i=1}^{N-1} (1 + \omega \diffp{t}{\varphi}) \int_{z_{i-1}}^{z_{i}} \sin\left(\omega (t_{i-1} + \Delta t_{i}\frac{z-z_{i-1}}{\Delta z_{i}})\right)\left(E_{z,i-1} + \Delta E_{z,i} \frac{z-z_{i-1}}{\Delta z_{i}}\right) dz
+\end{equation}
+and
+\begin{equation}
+ \label{eq:Gamma2}
+ \Gamma_2 = \sum_{i=1}^{N-1} (1 + \omega \diffp{t}{\varphi}) \int_{z_{i-1}}^{z_{i}} \cos\left(\omega (t_{i-1} + \Delta t_{i}\frac{z-z_{i-1}}{\Delta z_{i}})\right)\left(E_{z,i-1} + \Delta E_{z,i} \frac{z-z_{i-1}}{\Delta z_{i}}\right) dz.
+\end{equation}
+Between two sampling points we assume a linear correlation between the electric field and position respectively between time and position. The products in the integrals between two sampling points can be expanded and solved analytically. We then find
+\begin{equation*}
+\Gamma_1 = \sum_{i=1}^{N-1} (1 + \omega \diff{t}{\varphi}) \Delta z_{i}(E_{z,i-1} (\Gamma_{11,i} - \Gamma_{12,i}) + E_{z,i}\, \Gamma_{12,i})
+\end{equation*}
+and
+\begin{equation*}
+\Gamma_1 = \sum_{i=1}^{N-1} (1 + \omega \diffp{t}{\varphi}) \Delta z_{i}(E_{z,i-1} (\Gamma_{21,i} - \Gamma_{22,i}) + E_{z,i}\, \Gamma_{22,i})
+\end{equation*}
+where
+\begin{align*}
+ \Gamma_{11,i} &= \int_0^1 \sin(\omega(t_{i-1} + \tau \Delta t_{i})) d\tau = - \frac{\cos(\omega t_{i}) - \cos(\omega t_{i-1})}{\omega \Delta t_{i}}\\
+ \Gamma_{12,i} &= \int_0^1 \sin(\omega(t_{i-1} + \tau \Delta t_{i})) \tau d\tau = \frac{-\omega \Delta t_{i} \cos(\omega t_{i}) + \sin(\omega t_{i}) - \sin(\omega t_{i-1})}{\omega^2 (\Delta t_{i})^2}\\
+ \Gamma_{21,i} &= \int_0^1 \cos(\omega(t_{i-1} + \tau \Delta t_{i})) d\tau = \frac{\sin(\omega t_{i}) - \sin(\omega t_{i-1})}{\omega \Delta t_{i}}\\
+ \Gamma_{22,i} &= \int_0^1 \cos(\omega(t_{i-1} + \tau \Delta t_{i})) \tau d\tau = \frac{\omega \Delta t_{i} \sin(\omega t_{i}) + \cos(\omega t_{i}) - \cos(\omega t_{i-1})}{\omega^2 (\Delta t_{i})^2}
+\end{align*}
+
+It remains to find the progress of time with respect to the position. In \opal this is done iteratively starting with
+\begin{verbatim}
+K[i] = K[i-1] + (z[i] - z[0]) * q * V;
+b[i] = sqrt(1. - 1. / ((K[i] - K[i-1]) / (2.*m*c^2) + 1)^2);
+t[i] = t[0] + (z[i] - z[0]) / (c * b[i])
+\end{verbatim}
+By doing so we assume that the kinetic energy, K, increases linearly and proportional to the maximal voltage. With this model for the progress of time we can calculate $\varphi$ according to \eqnref{rulelag}. Next a better model for the kinetic Energy can be calculated using
+\begin{alltt}
+K[i] = K[i-1] + q \(\Delta\)z[i](cos(\(\varphi\))(Ez[i-1](\(\Gamma\sb{21}\)[i] - \(\Gamma\sb{22}\)[i]) + Ez[i]\(\Gamma\sb{22}\)[i])
+ \(\,\,\)- sin(\(\varphi\))(Ez[i-1](\(\Gamma\sb{11}\)[i] - \(\Gamma\sb{12}\)[i]) + Ez[i]\(\Gamma\sb{12}\)[i])).
+\end{alltt}
+With the updated kinetic energy the time model and finally a new $\varphi$, that comes closer to the actual maximal kinetic energy, can be obtained. One can iterate a few times through this cycle until the value of $\varphi$ has converged.
+
+\section{Traveling Wave Structure}
+\index{Autophase Algorithm!Traveling Wave Structure}
+\begin{figure}
+\includegraphics[angle=0,width=0.9\linewidth]{figures/field_crop}
+\caption{Field map 'FINLB02-RAC.T7' of type 1DDynamic}
+\label{fig:tws}
+\end{figure}
+Auto phasing in a traveling wave structure is just slightly more complicated. The field of this element is composed of a standing wave entry and exit fringe field and two standing waves in between, see \figref{tws}.
+\begin{multline}
+\Delta E(\varphi,r) = q\, V_{0}\,\int_{z_\text{begin}}^{z_\text{beginCore}} \cos(\omega t(z,\varphi) + \varphi) E_z(z, r) dz \\
++ q\, V_\text{core}\,\int_{z_\text{beginCore}}^{z_\text{endCore}} \cos(\omega t(z,\varphi) + \varphi_\text{c1} + \varphi) E_z(z, r) dz \\
++ q\, V_\text{core}\,\int_{z_\text{beginCore}}^{z_\text{endCore}} \cos(\omega t(z,\varphi) + \varphi_\text{c2} + \varphi) E_z(z + s, r) dz \\
++ q\, V_{0}\,\int_{z_\text{endCore}}^{z_\text{end}} \cos(\omega t(z,\varphi) + \varphi_\text{ef} + \varphi) E_z(z, r) dz,
+\end{multline}
+where $s$ is the cell length. Instead of one sum as in \eqnref{Gamma1,Gamma2} there are four sums with different numbers of summands.
+\subsection*{Example}
+\begin{fmpage}
+\begin{verbatim}
+FINLB02_RAC: TravelingWave, L=2.80, VOLT=14.750*30/31, NUMCELLS=40,
+ FMAPFN="FINLB02-RAC.T7", ELEMEDGE=2.67066, MODE=1/3,
+ FREQ=1498.956, LAG=FINLB02_RAC_lag;
+\end{verbatim}
+\end{fmpage}
+For this example we find
+\begin{align*}
+ V_\text{core} &= \frac{V_{0}}{\sin(2.0/3.0 \pi)} = \frac{2 V_{0}}{\sqrt{3.0}}\\
+ \varphi_\text{c1} &= \frac{\pi}{6}\\
+ \varphi_\text{c2} &= \frac{\pi}{2}\\
+ \varphi_\text{ef} &= - 2\pi \cdot(\text{\keyword{NUMCELLS}} - 1) \cdot \text{\keyword{MODE}} = 26\pi
+\end{align*}
+\subsection{Alternative Approach for Traveling Wave Structures}
+If $\beta$ doesn't change much along the traveling wave structure (ultra relativistic case) then $t(z,\varphi)$ can be approximated by $t(z,\varphi)=\frac{\omega}{\beta c}z + t_{0}$. For the example from above the energy gain is approximately
+\begin{multline*}
+\Delta E(\varphi,r) = q\;V_0 \int_{0}^{1.5\cdot s} \cos\left(\omega \left(\frac{z}{\beta c} + t_{0}\right) + \varphi\right) E_z(z,r)\, dz\\
++ \frac{2 q\;V_{0}}{\sqrt{3}} \int_{1.5\cdot s}^{40.5\cdot s}\cos\left(\omega \left(\frac{z}{\beta c} + t_{0}\right) + \frac{\pi}{6} + \varphi \right) E_z(z\;\;\quad,r) dz\\
++ \frac{2 q\;V_{0}}{\sqrt{3}} \int_{1.5\cdot s}^{40.5\cdot s}\cos\left(\omega \left(\frac{z}{\beta c} + t_{0}\right) + \frac{\pi}{2} + \varphi \right) E_z(z+s,r) dz \\
+ + q\;V_{0} \int_{40.5\cdot s}^{42\cdot s} \cos\left(\omega \left(\frac{z}{\beta c} + t_{0}\right) + \varphi\right) E_z(z,r)\, dz.
+\end{multline*}
+Here $\beta c = 2.9886774\cdot10^8\;\text{m s}^{-2}$, $\omega = 2\pi\cdot 1.4989534\cdot10^9$~Hz and, the cell length, $s = 0.06\bar{6}$~m. To maximize this energy we have to take the derivative with respect to $\varphi$ and set the result to $0$. We split the field up into the core field, $E_z^{(1)}$ and the fringe fields (entry fringe field plus first half cell concatenated with the exit fringe field plus last half cell), $E_z^{(2)}$. The core fringe field is periodic with a period of $3\,s$. We thus find
+\begin{multline*}
+0 \stackrel{!}{=} \int_{0}^{1.5\cdot s} \sin\left(\omega \left(\frac{z}{\beta c} + t_{0}\right) + \varphi\right) E_z^{(2)}(z,r)\, dz \\
+ + \frac{2}{\sqrt{3}} \int_{0}^{39\cdot s}\sin\left(\omega \left(\frac{z + 1.5\,s}{\beta c} + t_{0}\right) + \frac{\pi}{6} + \varphi \right) E_z^{(1)}(z \text{ mod}(3\,s)\;\;\qquad,r)\,dz \\
+ + \frac{2}{\sqrt{3}} \int_{0}^{39\cdot s}\sin\left(\omega \left(\frac{z + 1.5\,s}{\beta c} + t_{0}\right) + \frac{\pi}{2} + \varphi \right) E_z^{(1)}((z + s) \text{ mod} (3\,s),r)\, dz \\
+ + \int_{1.5\cdot s}^{3\cdot s} \sin\left(\omega\left(\frac{z + 39\,s}{\beta c} + t_{0}\right) + \varphi\right) E_z^{(2)}(z,r)\, dz
+\end{multline*}
+This equation is much simplified if we take into account that $\omega / \beta c \approx 10\pi$. We then get
+\begin{multline*}
+0 \stackrel{!}{=} \int_{0}^{3\cdot s} \sin\left(\omega \left(\frac{z}{\beta c} + t_{0}\right) + \varphi\right) E_z^{(2)}(z)\, dz \\
+ + \frac{26}{\sqrt{3}} \int_{0}^{3\cdot s}\left(\sin\left(\omega \left(\frac{z}{\beta c} + t_{0}\right) + \frac{7\pi}{6} + \varphi \right)
+ + \sin\left(\omega \left(\frac{z}{\beta c} + t_{0}\right) + \frac{5\pi}{6} + \varphi \right)\right) E_z^{(1)}(z)\, dz \\
+ = \int_{0}^{3\cdot s}\sin\left(\omega \left(\frac{z}{\beta c} + t_{0}\right) + \varphi\right) \left(E_z^{(2)} - 26\cdot E_z^{(1)}\right)(z)\,dz
+\end{multline*}
+where we used
+\begin{multline*}
+\int_{0}^{3\cdot s} \sin\left(\omega \left(\frac{z}{\beta c} + t_{0}\right) + \frac{3\pi}{2} + \varphi\right) E_z^{(1)}((z + s) \text{ mod}(3\,s),r) dz \\
+\stackrel{z' = z + s}{\longrightarrow} \int_{s}^{4\cdot s} \sin\left(\omega \left(\frac{z'-s}{\beta c} + t_{0} \right) + \frac{3\pi}{2} + \varphi\right)E_z^{(1)}(z' \text{ mod}(3\,s),r)dz' \\
+= \int_{0}^{3\cdot s} \sin\left(\omega \left(\frac{z}{\beta c} + t_{0}\right) + \frac{5\pi}{6} + \varphi\right) E_z^{(1)}(z,r)\,dz.
+\end{multline*}
+In the last equal sign we used the fact that both functions, $\sin(\frac{\omega}{\beta c}z)$ and $E_z^{(1)}$ have a periodicity of $3\cdot s$ to shift the boundaries of the integral.
+
+Using the convolution theorem we find
+\begin{equation*}
+0 \stackrel{!}{=} \int_{0}^{3\cdot s} g(\xi - z) (G - 26 \cdot H)(z) \, dz =
+\mathcal{F}^{-1}\left(\mathcal{F}(g)\cdot(\mathcal{F}(G) - 26 \cdot \mathcal{F}(H))\right)
+\end{equation*}
+where
+\begin{align*}
+ g(z) & =
+ \begin{cases}
+ -\sin\left(\omega \left(\frac{z}{\beta c} + t_{0}\right)\right)\qquad & 0 \le z \le 3\cdot s\\
+ 0 & \text{otherwise}
+ \end{cases}\\
+ G(z) & =
+ \begin{cases}
+ E_z^{(2)}(z) \qquad & 0 \le z \le 3\cdot s\\
+ 0 & \text{otherwise}
+ \end{cases}\\
+ H(z) & =
+ \begin{cases}
+ E_z^{(1)}(z) \qquad & 0 \le z \le 3\cdot s\\
+ 0 & \text{otherwise}
+ \end{cases}
+ \intertext{and}
+ -\frac{\omega}{\beta c} \xi &= \varphi.
+\end{align*}
+Here we also used some trigonometric identities:
+\begin{multline*}
+ \sin\left(\omega \left(\frac{z}{\beta c} + t_{0}\right) + \pi + \frac{\pi}{6} + \varphi \right) +
+ \sin\left(\omega \left(\frac{z}{\beta c} + t_{0}\right) + \pi - \frac{\pi}{6} + \varphi \right) \\
+ = -\left(\sin\left(\omega \left(\frac{z}{\beta c} + t_{0}\right) + \frac{\pi}{6} + \varphi\right) +
+ \sin\left(\omega \left(\frac{z}{\beta c} + t_{0}\right) - \frac{\pi}{6} + \varphi\right)\right) \\
+ = -2\cdot \cos\left(\frac{\pi}{6}\right) \sin\left(\omega \left(\frac{z}{\beta c} + t_{0}\right) + \varphi\right) \\
+ = -\sqrt{3} \sin\left(\omega \left(\frac{z}{\beta c} + t_{0}\right) + \varphi\right)
+\end{multline*}
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/benchmarks.tex b/doc/user_guide/benchmarks.tex
new file mode 100644
index 0000000000000000000000000000000000000000..3950926ab77141ddea32c9d55f5788f01c918a23
--- /dev/null
+++ b/doc/user_guide/benchmarks.tex
@@ -0,0 +1,871 @@
+\input{header}
+\chapter{Benchmarks}
+\label{chp:benchmarks}
+
+\section{\opalt compared with TRANSPORT \& TRACE 3D}
+\label{sec:T3D}
+
+\subsection{TRACE 3D}
+TRACE 3D is an interactive beam dynamics program that calculates the envelopes of a bunched beam, including linear space-change forces \cite{Trace_man}. It provides an instantaneous beam profile diagram and delineates the transverse and longitudinal phase plane, where the ellipses are characterized by the Twiss parameters and emittances (total and unnormalized).
+
+\subsection{TRACE 3D Units}
+\label{ssec:T3D_units}
+
+TRACE 3D supports the following internal coordinates and units for the three phase planes:
+
+\begin{itemize}
+\item \textbf{horizontal plane:} \\
+x [mm] is the displacement from the center of the beam bunch;\\
+x' [mrad] is the beam divergence;
+
+\item \textbf{vertical plane:}\\
+y [mm] is the displacement from the center of the beam bunch; \\
+y' [mrad] is the beam divergence;
+
+\item \textbf{longitudinal plane:}\\
+z [mm] is the displacement from the center of the beam bunch; \\
+$\Delta$p/p [mrad] is the difference between the particle's longitudinal momentum and the reference momentum of the beam bunch.
+\end{itemize}
+
+For input and output, however, z and $\Delta$p/p are replaced by $\Delta\phi$ [degree] and $\Delta$W [keV], respectively the displacement in phase and energy. The relationships between these longitudinal coordinates are:
+
+\begin{equation}
+z = -\frac{\beta\lambda}{360}\Delta\phi
+\end{equation}
+and
+\begin{equation}
+\frac{\Delta p}{p} = \frac{\gamma}{\gamma +1}\frac{\Delta W}{W}
+\end{equation}
+where $\beta$ and $\gamma$ are the relativist parameters, $\lambda$ is the free-space wavelength of the RF and W is the kinetic energy [\si{\mega\electronvolt}] at the beam center. This internal conversion can be displayed using the \textit{command W} (see \cite{Trace_man} page 42).
+\subsection{TRACE 3D Input beam}
+\label{ssec:T3D_input}
+In TRACE 3D, the input beam is described by the following set of parameters:
+\begin{itemize}
+\item \textbf{ER}: particle rest mass [\si{\mega\electronvolt/\square\clight}];
+\item \textbf{Q}: charge state (+1 for protons);
+\item \textbf{W}: beam kinetic energy [\si{\mega\electronvolt}]
+\item \textbf{XI}: beam current [\si{\milli\ampere}]
+\item \textbf{BEAMI}: array with initial Twiss parameters in the three phase planes\\
+\begin{center}
+BEAMI = $\alpha_x , \beta_x, \alpha_y, \beta_y, \alpha_{\phi}, \beta_{\phi} $ \\
+\end{center}
+The alphas are dimensionless, $\beta_x$ and $\beta_y$ are expressed in m/rad (or mm/mrad) and $\beta_{\phi}$ in deg/keV;
+\item \textbf{EMITI}: initial total and unnormalized emittances in x-x', y-y', and $\Delta\phi$-$\Delta W$ planes.
+\begin{center}
+EMITI = $\epsilon_x , \epsilon_y, \epsilon_{\phi} $ \\
+\end{center}
+The transversal emittances are expressed in $\pi$-mm-mrad and in $\pi$-deg-keV the longitudinal emittance.
+\end{itemize}
+In this beam dynamics code, the total emittance in each phase plane is five times the RMS emittance in that plane and the displayed beam envelopes are $\sqrt{5}$-times their respective RMS values.
+\subsubsection{TRACE 3D Graphic Interface}
+\label{ssec:T3D_graphic}
+An example of TRACE 3D graphic interface is shown in \figref{trace}. \\
+\begin{figure}[!htb]
+\centering
+ \includegraphics[width=\textwidth-1cm, keepaspectratio=true]{figures/Benchmarks/Trace.png}
+ \caption{TRACE 3D graphic interface where: (1) input beam in transverse plane (above) and longitudinal plane (below); (2) output beam in transverse plane (above) and longitudinal plane (below); (3) summary of beam parameters such as input and output emittances and desired value for matching function; (4) line lattice with different elements and beam envelope. The color legend is: blue line for horizontal plane, red line for vertical plane, green line for longitudinal plane and yellow line for dispersion.}
+ \label{fig:trace}
+\end{figure}
+\clearpage
+%----------------------------------------------------------------------------------------
+% SECTION 2: TRANSPORT
+%----------------------------------------------------------------------------------------
+\subsection{TRANSPORT}
+\label{sec:TRAN}
+TRANSPORT is a computer program for first-order and second-order matrix multiplication, intended for the design of beam transport system \cite{bib:transport}. The TRANSPORT version for Windows provides a graphic beam profile diagram, as well as a sigma matrix description of the simulated beam and line \cite{Transport_GUI}.
+Differently from TRACE 3D, the ellipses are characterized by the sigma-matrix coefficients and the Twiss parameters and emittances (total and unnormalized) are reported as output information.
+\subsection{TRANSPORT Units}
+\label{ssec:TRAN_units}
+At any specified position in the system, an arbitrary charged particle is represented by a vector, whose components are positions, angles and momentum of the particle with respect to the reference trajectory. The standard units and internal coordinates in TRANSPORT are:
+\begin{itemize}
+\item \textbf{horizontal plane:} \\
+x [cm] is the displacement of the arbitrary ray with respect to the assumed central trajectory;\\
+$\theta$ [mrad] is the angle the ray makes with respect to the assumed central trajectory;
+\item \textbf{vertical plane:}\\
+y [cm] is the displacement of the arbitrary ray with respect to the assumed central trajectory;\\
+$\phi$ [mrad] is the angle the ray makes with respect to the assumed central trajectory;
+\item \textbf{longitudinal plane:}\\
+l [cm] is the path length difference between the arbitrary ray and the central trajectory;\\
+$\delta$ [\%] is the fractional momentum deviation of the ray from the assumed central trajectory.
+\end{itemize}
+Even if TRANSPORT supports this standard set of units [cm, mrad and \%]; however using \textbf{card 15}, the users can redefine the units (see page 99 on TRANSPORT documentation \cite{bib:transport} for more details).
+\subsection{TRANSPORT Input beam}
+\label{ssec:TRAN_input}
+The input beam is described in \textbf{card 1} in terms of the semi-axes of a six-dimensional erect ellipsoid beam. In terms of diagonal sigma-matrix elements, the input beam in TRANSPORT is expressed by 7 parameters:
+\begin{itemize}
+\item $\sqrt{\sigma_{ii}}$ [cm] represents one-half of the horizontal (i=1), vertical (i=3) and longitudinal extent (i=5);
+\item $\sqrt{\sigma_{ii}}$ [mrad] represents one-half of the horizontal (i=2), vertical (i=4) beam divergence;
+\item $\sqrt{\sigma_{66}}$ [\%] represents one-half of the momentum spread;
+\item p(0) is the momentum of the central trajectory [GeV/c].
+\end{itemize}
+If the input beam is tilted (Twiss alphas not zero), \textbf{ card 12} must be used, inserting the 15 correlations $r_{ij}$ parameters among the 6 beam components. The correlation parameters are defined as following:
+\begin{equation}
+r_{ij}=\frac{\sigma_{ij}}{\sqrt{\sigma_{ii}\sigma_{jj}}}
+\end{equation}
+As explained before, with the \textbf{card 15}, it is possible to transform the TRANSPORT standard units in TRACE-like units. In this way, the TRACE 3D sigma-matrix for the input beam, printed out by \textit{command Z}, can be directly used as input beam in TRANSPORT. An example of TRACE 3D sigma-matrix structure is shown in \figref{trace_z}.
+\begin{figure}[!htb]
+ \centering
+ \includegraphics[width=0.5\textwidth-0.6cm, keepaspectratio=true]{figures/Benchmarks/TRACE_z.png}
+ \caption{Sigma-matrix structure in TRACE 3D \cite{Trace_man}}
+ \label{fig:trace_z}
+\end{figure}
+From the sigma-matrix coefficients, TRANSPORT reports in output the Twiss parameters and the total, unnormalized emittance. Even in this case, a factor 5 is present between the emittances calculated by TRANSPORT and the corresponding RMS values.
+\subsubsection{TRANSPORT Graphic Interface}
+\label{ssec:TRAN_graphic}
+An improved version of TRANSPORT has been embedded in a new graphic shell written in C++ and is providing GUI type tools, which makes it easier to design new beam lines. A screen shot of a modern GUI Transport interface \cite{Transport_GUI} is shown in \figref{TRANSPORT}.
+\begin{figure}[!htb]
+ \centering
+ \includegraphics[width=\textwidth-1cm, keepaspectratio=true]{figures/Benchmarks/TRANSPORT.png}
+ \caption{GUI TRANSPORT graphic interface \cite{Tran_ex}. The continuous lines describe the beam envelope in the vertical plane (above) and horizontal plane (below). The dashed line displays the dispersion. The elements in the beam line are drawn as blue and red rectangles}
+ \label{fig:TRANSPORT}
+\end{figure}
+%\vspace{4cm}
+
+%----------------------------------------------------------------------------------------
+% SECTION 3: COMPARISON TRACE 3D - TRANSPORT
+%----------------------------------------------------------------------------------------
+\subsection{Comparison TRACE 3D and TRANSPORT}
+\label{sec:T3D_TRAN}
+This study has been done following the same trend of the Regression Test in \opal \cite{AMAS}, replacing the electron beam with a same energy proton beam. Due to the different beam rigidity, the bending magnet features have been redefined with a new magnetic field.
+
+The simulated beam transport line contains:
+\begin{itemize}
+\item drift space (DRIFT 1): 0.250 m length;
+\item bending magnet (SBEND or RBEND): 0.250 m radius of curvature;
+\item drift space (DRIFT 2): 0.250 m length.
+\end{itemize}
+
+Keeping fixed the lattice structure, many similar transport lines have been tested adding entrance and exit edge angles to the bending magnet, changing the bending plane (vertical bending magnet) and direction (right or left). In all the cases, the difficulties arise from the non-achromaticity of the system and an increase in the horizontal and longitudinal emittance is expected. In addition, the coupling between these two planes has to be accurately studied.
+
+In the following paragraph, an example of Sector Bending magnet (SBEND) simulation with entrance and exit edge angles is discussed.
+
+\subsubsection{Input beam}
+The starting simulation has been performed with TRACE 3D code. According to \ssecref{T3D_input}, the simulated input beam is described by the following parameters:
+\begin{example}
+ER = 938.27
+W = 7
+FREQ = 700
+BEAMI = 0.0, 4.0,0.0, 4.0, 0.0, 0.0756
+EMITI = 0.730, 0.730, 7.56
+\end{example}
+
+Thanks to the TRACE 3D graphic interface, the input beam can immediately be visualized in the three phase plane as shown in \figref{Input_TRACE}.
+
+\begin{figure}[!htb]
+ \centering
+ \includegraphics[width=0.5\textwidth-0.6cm, keepaspectratio=true]{figures/Benchmarks/Input_Trace.png}
+ \caption{TRACE 3D input beam in the transversal plane (above) and in the longitudinal plane (below)}
+ \label{fig:Input_TRACE}
+\end{figure}
+The corresponding sigma-matrix with the relative units is displayed by command Z:
+\begin{figure}[!htb]
+ \centering
+ \includegraphics[width=0.5\textwidth-0.6cm, keepaspectratio=true]{figures/Benchmarks/TRACE_z_input.png}
+ \caption{TRACE 3D sigma-matrix for the input beam}
+ \label{fig:TRACE_z_Input}
+\end{figure}
+Before entering the TRACE 3D sigma-matrix coefficients in TRANSPORT, a changing in the units is required using the \textbf{card 15} in the following way:
+\begin{example}
+15. 1. 'MM' 0.1 ; //express in mm the horizontal and vertical beam size
+15. 5. 'MM' 0.1 ; //express in mm the beam length
+\end{example}
+
+At this point, the TRANSPORT input beam is defined by \textbf{card 1}: \\
+\begin{example}
+1.0 1.709 0.427 1.709 0.427 0.11 0.0717 0.1148 /BEAM/ ;
+\end{example}
+
+using exactly the same sigma-matrix coefficients of \figref{TRACE_z_Input}. Other two cards must be added in order to use exactly the TRACE 3D R-matrix formalism:
+\begin{example}
+16. 3. 1863.153; //proton mass, as ratio of electron mass
+22. 0.05 0.0 700 0.0 /SPAC/ ; //space charge card
+\end{example}
+\subsubsection{SBEND in TRACE 3D}
+The bending magnet definition in TRACE 3D requires:
+\begin{table}[!htb]
+\centering
+ \caption{Bending magnet description in TRACE 3D and values used in the simulation}
+ \label{tab:Bend_Trace}
+ \begin{tabular}{|l|l|l|}
+ \hline
+ \tabhead{Parameter & Value & Description}
+ \hline
+ NT & 8 & Type code for bending \\
+ $\alpha$ [deg] & 30 & angle of bend in horizontal plane \\
+ $\rho$ [mm] & 250 & radius of curvature of central trajectory \\
+ n & 0 & field-index gradient\\
+ vf & 0 & flag for vertical bending\\
+ \hline
+ \end{tabular}
+\end{table}
+The edge angles are described with another type code and parameters which include also the fringe field. They must be added before and after the bending magnet if entrance and exit edge angles are present and if the fringe field has to be taken into account. In particular for the entrance edge angle:
+\begin{table}[!htb]
+\centering
+ \caption{Edge angle description in TRACE 3D and values used in the simulation}
+ \label{tab:Edge_Trace}
+ \begin{tabular}{|l|l|l|}
+ \hline
+ \tabhead{Parameter & Value & Description}
+ \hline
+ NT & 9 & Type code for edge \\
+ $\beta$ [deg] & 10 & pole-face rotation \\
+ $\rho$ [mm] & 250 & radius of curvature of central trajectory \\
+ g [mm] & 20 & total gap of magnet \\
+ $K_1$ & 0.36945 & fringe-field factor \\
+ $K_2$ & 0.36945 & fringe-field factor \\
+ \hline
+ \end{tabular}
+\end{table}
+A same configuration has been used for exit edge angle using $\beta = \SI{5}{\degree}$. The beam envelopes in the three phase planes for this simulation are shown in \figref{Trace_env}.
+\begin{figure}[!htb]
+ \centering
+ \includegraphics[width=\textwidth-1cm, keepaspectratio=true]{figures/Benchmarks/Trace_SBEND_edge.png}
+ \caption{Beam envelopes in TRACE 3D for a SBEND with entrance and exit edge angles. The blue line describes the beam envelope in the horizontal plane, the red line in the vertical plane, the green line in the longitudinal plane. The yellow line displays the dispersion}
+ \label{fig:Trace_env}
+\end{figure}
+\subsubsection{SBEND in TRANSPORT}
+The bending magnet definition in TRANSPORT requires:
+\begin{table}[!htb]
+\centering
+\caption{Bending magnet description in TRANSPORT and values used in the simulation}
+\label{tab:Bend_Trans}
+ \begin{tabular}{|l|l|l|}
+ \hline
+ \tabhead{Parameter & Value & Description}
+ \hline
+ Card & 4 & Type code for bending \\
+ L [m] & 30 & Effective length of the central trajectory \\
+ $B_0$ [kG] & 250 & Central field strength \\
+ n & 0 & field-index gradient \\
+ \hline
+ \end{tabular}
+\end{table}
+As for TRACE 3D, the edge angles are described with another card and parameters. In TRANSPORT, however, the fringe field is not automatically included with the edge angle, but it is described by a own card as reported in the \tabref{Edge_Trans}.
+\begin{table}[!htb]
+\centering
+\caption{Edge angle and fringe field description in TRANSPORT and values used in the simulation}
+\label{tab:Edge_Trans}
+ \begin{tabular}{|l|l|l|}
+ \hline
+ \tabhead{Parameter & Value & Description}
+ \hline
+ Card & 2 & Type code for edge \\
+ $\beta$ [deg] & 10 & pole-face rotation \\
+ \hline
+ Card & 16 & Type code for fringe field \\
+ g [mm] & 10 & half-gap of magnet \\
+ $K_1$ & 0.36945 & fringe-field factor \\
+ $K_2$ & 0.36945 & fringe-field factor \\
+ \hline
+ \end{tabular}
+\end{table}
+Running the Graphic TRANSPORT version, the beam envelopes in the transverse phase planes for this simulation are shown in \figref{Tran_env}.
+\begin{figure}[!htb]
+ \centering
+ \includegraphics[width=0.5\textwidth-0.6cm, keepaspectratio=true]{figures/Benchmarks/TRANS_SBEND_edge.png}
+ \caption{Beam envelopes in TRANSPORT for a SBEND with entrance and exit edge angles. The continuous lines describe the beam envelope in the vertical plane (above) and horizontal plane (below). The dashed line displays the dispersion.}
+ \label{fig:Tran_env}
+\end{figure}
+\subsubsection{Beam size and emittance comparison}
+In the next table, the results of the comparison between TRACE 3D and TRANSPORT in terms of the transversal beam sizes at the end of each element in the line are summarized.
+\begin{table}[!htb]
+\centering
+\caption{Transversal beam size at the end of each element in the line printed out by TRACE 3D and TRANSPORT}
+\label{tab:Beam_size}
+ \begin{tabular}{|l|l|l|l|l|l|}
+ \hline
+ \multicolumn{2}{|c|}{} & \multicolumn{2}{c|}{\tabheadcell{TRACE 3D}} & \multicolumn{2}{c|}{\tabheadcell{TRANSPORT}} \\
+ \hline
+ Position & z (m) & $\sigma_x$ (mm) & $\sigma_y$ (mm) & $\sigma_x$ (mm) & $\sigma_y$ (mm) \\
+ %\hline
+ Input & 0.000 & 1.709 & 1.709 & 1.709 & 1.709 \\
+ %\hline
+ Drift 1 & 0.250 & 1.712 & 1.712 & 1.712 & 1.712 \\
+ %\hline
+ Edge & 0.250 & 1.712 & 1.712 & 1.712 & 1.712 \\
+ %\hline
+ Bend & 0.381 & 1.638 & 1.587 & 1.638 & 1.587 \\
+ %\hline
+ Edge & 0.381 & 1.638 & 1.587 & 1.638 & 1.587 \\
+ %\hline
+ Drift 2 & 0.631 & 1.206 & 1.264 & 1.206 & 1.264 \\
+ \hline
+ \end{tabular}
+\end{table}
+The perfect agreement between these two codes arises immediately looking at \figref{T3D_Tra_env}.
+\begin{figure}[!htb]
+ \centering
+ \includegraphics[width=0.5\textwidth-1cm, keepaspectratio=true]{figures/Benchmarks/T3D_Tra_SBEND_edge_env.pdf}
+ \caption{Transversal beam size comparison between TRACE 3D and TRANSPORT}
+ \label{fig:T3D_Tra_env}
+\end{figure}
+The same comparison has been performed in terms of horizontal and longitudinal emittance, both expressed in $\pi$-mm-mrad. While the vertical emittance remains constant and equal to the initial value ($\epsilon_y = $ 0.730 $\pi$-mm-mrad) , the horizontal and longitudinal emittances are expected growing after the bending magnet. The results are reported in \tabref{Emittance} and in \figref{T3D_Tra_emi}.
+\begin{table}[!htb]
+\centering
+\caption{Horizontal and longitudinal emittance comparison between TRACE 3D and TRANSPORT, both expressed in $\pi$-mm-mrad}
+\label{tab:Emittance}
+ \begin{tabular}{|l|l|l|l|l|l|}
+ \hline
+ \multicolumn{2}{|c|}{} & \multicolumn{2}{c|}{\tabheadcell{TRACE 3D}} & \multicolumn{2}{c|}{\tabheadcell{TRANSPORT}}\\
+ \hline
+ Position & z (m) & $\epsilon_x$ & $\epsilon_z$ & $\epsilon_x$ & $\epsilon_z$ \\
+ %\hline
+ Input & 0 & 0.730 & 0.08 & 0.730 & 0.08 \\
+ %\hline
+ Drift 1 & 0.250 & 0.730 & 0.08 & 0.730 & 0.08 \\
+ %\hline
+ Edge & 0.250 & 0.730 & 0.08 & 0.730 & 0.08 \\
+ %\hline
+ Bend & 0.381 & 0.973 & 0.65 & 0.973 & 0.65 \\
+ %\hline
+ Edge & 0.381 & 0.973 & 0.65 & 0.973 & 0.65 \\
+ %\hline
+ Drift 2 & 0.631 & 0.973 & 0.65 & 0.973 & 0.65 \\
+ \hline
+ \end{tabular}
+\end{table}
+\begin{figure}[!htb]
+ \centering
+ \includegraphics[width=0.5\textwidth-1cm, keepaspectratio=true]{figures/Benchmarks/T3D_Tra_SBEND_edge_emi.pdf}
+ \caption{Emittance comparison between TRACE and TRANSPORT}
+ \label{fig:T3D_Tra_emi}
+\end{figure}
+
+\subsubsection{From TRACE 3D to TRANSPORT}
+\label{ssec:T3DtoTRAN}
+
+\begin{table}[!htb]
+\centering
+\caption{Bending magnet features in TRACE 3D and TRANSPORT}
+\label{tab:Bend_Trace_Tra2}
+ \begin{tabular}{|l|l|l|}
+ \hline
+ \tabhead{Parameter & Trace 3D & Transport}
+ \hline
+ \textbf{Bend card} & 8 & 4 \\
+ Angle & Input parameter [deg] & Output information [deg] \\
+ Magn. field & Calculated. [T] & Input parameter [kG] \\
+ Radius of curv. & Input parameter [mm] & Output information [m] \\
+ Field-index & Input parameter & Input parameter \\
+ Effect. length & Calculated [mm] & Input parameter [m] \\
+ \hline
+ \hline
+ \textbf{Edge card} & 9 & 2 \\
+ Edge angle & Input parameter [deg] & Input parameter [deg] \\
+ \hline
+ \hline
+ \textbf{Vertical gap} & 9 & 16.5 \\
+ Gap & Total [mm] & Half-gap [cm] \\
+ \hline
+ \hline
+ \textbf{Fringe field card} & 9 & 16.7 / 16.8 \\
+ $K_1$ & Default: 0.45 & Default: 0.5 \\
+ $K_2$ & Default: 2.8 & Default: 0 \\
+ \hline
+ \hline
+ \textbf{Bend direction} & Bend angle sign & Coord. rotation \\
+ Horiz. right & Angle $>$ 0 & Angle $>$ 0 \\
+ Horiz. left & Angle $<$ 0 & Card 20 \\
+ Vertical bend & Card 8, vf $>$ 0 & Card 20 \\
+ \hline
+ \end{tabular}
+\end{table}
+
+%----------------------------------------------------------------------------------------
+% SECTION: \opal
+%----------------------------------------------------------------------------------------
+
+\subsection{Relations to \opalt}
+\label{sec:OPAL}
+
+In \opal, the beam dynamics approach (time integration) is hence completely different from the envelope-like supported by TRACE 3D and TRANSPORT. The three codes support different units and require diverse parameters for the input beam. A summary of their main features is reported in \tabref{Features}.
+
+\begin{table}[!htb]
+ \centering
+\caption{Main features of the three beam dynamics codes: TRACE 3D, TRANSPORT and \opal}
+\label{tab:Features}
+ \begin{tabular}{|l|l|l|l|}
+ \hline
+ \tabhead{Code & TRACE 3D & TRANSPORT & \opal}
+ \hline
+ \textbf{Type} & Envelope & Envelope & Time integration \\
+ %\hline
+ \textbf{Input} & Twiss, Emittance & Sigma, Momentum & Sigma, Energy \\
+ %\hline
+ \textbf{Units} & mm-mrad, deg-keV & cm-rad, cm-\% & m-$\beta\gamma$ \\
+ \hline
+\end{tabular}
+\end{table}
+
+\subsection{\opalt Units}
+\label{ssec:OPAL_units}
+
+\opalt supports the following internal coordinates and units for the three phase planes:
+
+\begin{itemize}
+\item \textbf{horizontal plane:} \\
+X [m] horizontal position of a particle relative to the axis of the element;\\
+PX [$\beta_x\gamma$] horizontal canonical momentum;
+
+\item \textbf{vertical plane:}\\
+Y [m] vertical position of a particle relative to the axis of the element;\\
+PY [$\beta_y\gamma$] horizontal canonical momentum;
+
+\item \textbf{longitudinal plane:}\\
+Z [m] longitudinal position of a particle in floor-coordinates;\\
+PZ [$\beta_z\gamma$] longitudinal canonical momentum;
+\end{itemize}
+
+\subsection{\opalt Input beam}
+\label{ssec:OPAL_input}
+
+For the input beam, a \texttt{GAUSS} distribution type has been chosen. For transferring the TRANSPORT (or TRACE 3D) input beam in terms of sigma-matrix coefficients, it necessary to:
+
+\begin{itemize}
+\item adjust the units: from mm to m;
+\item correct for the factor $\sqrt{5}$: from total to RMS distribution;
+\item multiply for the relativistic factor $\beta\gamma =\num{0.1224}$ for \SI{7}{\mega\electronvolt} protons;
+\end{itemize}
+
+ In case of the modified sigma-matrix in \figref{TRACE_z_Input}, the corresponding \opal parameters for the \texttt{GAUSS} distributions are:
+
+\begin{example}
+ T3D SIGMA OPAL -T
+-------------------------------------------------------
+1.7088 mm SIGMAX = 1.7088/sqrt(5)e-3 m
+0.4272 mrad SIGMAPX = 0.4272/sqrt(5)*0.1224e-3
+1.7088 mm SIGMAY = 1.7088/sqrt(5)e-3 m
+0.4272 mrad SIGMAPY = 0.4272/sqrt(5)*0.1224e-3
+0.1092 mm SIGMAZ = 0.1092/sqrt(5)e-3 m
+0.0717 % SIGMAPZ = (0.0717*10)/sqrt(5)*0.1224e-3
+\end{example}
+
+At the end of this calculation, the input beam in \opal is:
+
+\begin{example}
+D1: DISTRIBUTION, DISTRIBUTION=GAUSS,
+SIGMAX = 0.7642e-03, SIGMAPX= 0.0234e-03, CORRX= 0.0,
+SIGMAY = 0.7642e-03, SIGMAPY= 0.0234e-03, CORRY= 0.0,
+SIGMAZ = 0.0488e-03, SIGMAPZ= 0.0392e-03, CORRZ= 0.0, R61= 0.0,
+INPUTMOUNITS=NONE;
+\end{example}
+
+%----------------------------------------------------------------------------------------
+% SECTION: Comparison TRACE 3D and OPAL
+%----------------------------------------------------------------------------------------
+
+\subsection{Comparison TRACE 3D and \opalt}
+\label{sec:T3D_OPAL}
+
+In this section, the comparison between TRACE 3D and \opalt is discussed starting from \keyword{SBEND} definition in \opalt. The transport line described in \secref{T3D_TRAN} has been simulated in \opal using 10.000 particles and $10^{-11}$ s time step. The bending magnet features of \tabref{Bend_Trace,Edge_Trace} have been transformed in \opal language as:
+
+\begin{example}
+Bend: SBEND, ANGLE = 30.0 * Pi/180.0,
+ K1=0.0,
+ E1=0, E2=0,
+ FMAPFN = "1DPROFILE1-DEFAULT",
+ ELEMEDGE = 0.250, // end of first drift
+ DESIGNENERGY = 7E+06, // ref energy eV
+ L = 0.1294,
+ GAP = 0.02;
+\end{example}
+
+\begin{itemize}
+
+\item \textbf{SBEND without edge angles:}
+
+\begin{example}
+// Bending magnet configuration:
+K1=0.0,
+E1=0, E2=0,
+\end{example}
+
+\begin{figure}[!htb]
+\begin{center}
+ \subfloat[Transverse beam size]{\includegraphics[width=0.5\textwidth-1cm, keepaspectratio=true]{figures/Benchmarks/SBEND_noEdge_Env}}
+ \hspace{1.8cm}
+ \subfloat[Transverse emittance]{\includegraphics[width=0.5\textwidth-1cm, keepaspectratio=true]{figures/Benchmarks/SBEND_noEdge_Emi}}
+ \caption{TRACE 13D and \opal comparison: SBEND without edge angles}
+ \label{fig:SBEND_noEdge}
+\end{center}
+ \end{figure}
+
+A good overall agreement has been found between the two codes in term of beam size and emittance. The different behavior inside the bending magnet for the horizontal emittance is still undergoing study and it's probably due to a diverse coordinate system in the two codes.
+
+\item \textbf{SBEND with edge angles:}
+
+\begin{example}
+// Bending magnet configuration:
+K1=0.0,
+E1=10*Pi/180.0, E2=5* Pi/180.0,
+\end{example}
+
+
+\begin{figure}[!htb]
+\begin{center}
+ \subfloat[Transverse beam size]{\includegraphics[width=0.5\textwidth-1cm, keepaspectratio=true]{figures/Benchmarks/SBEND_Edges_Env.pdf}}
+ \hspace{1.8cm}
+ \subfloat[Transverse RMS emittance]{\includegraphics[width=0.5\textwidth-1cm, keepaspectratio=true]{figures/Benchmarks/SBEND_Edges_Emi.pdf}}
+ \caption{TRACE 3D and \opal comparison: SBEND with edge angles}
+ \label{fig:SBEND_Edges}
+\end{center}
+ \end{figure}
+
+Even in this case, a good overall agreement has been found between the two codes in term of beam size and emittance.
+
+\item \textbf{SBEND with field index:}\\
+
+The field index parameter K1 is defined as:
+
+\begin{equation}
+K1 = \frac{1}{B\rho}\diffp{B_y}{x},
+\end{equation}
+
+\ssecref{RBend}. Instead, in TRACE 3D the field index parameter n is:
+
+\begin{equation}
+n = -\frac{\rho}{B_y}\diffp{B_y}{x}.
+\end{equation}
+
+In order to have a significant focusing effect on both transverse planes, the transport line has been simulated in TRACE 3D using $ n = 1.5$. Since, a different definition exists between \opal and TRACE 3D on the field index, the n-parameter translation in \opal language has been done with the following test: \\
+
+TEST 1: K1 $=$ n/$\rho^2$\\
+TEST 2: K1 $=$ n\\
+TEST 3: K1 $=$ n/$\rho$\\
+
+Only the TEST 2 reports a reasonable behavior on the beam size and emittance, as shown in \figref{SBEND_FI} using:
+
+\begin{example}
+// Bending magnet configuration:
+K1=1.5
+E1=0, E2=0,
+\end{example}
+
+\begin{figure}[!htb]
+\begin{center}
+ \subfloat[Transverse beam size]{\includegraphics[width=0.5\textwidth-1cm, keepaspectratio=true]{figures/Benchmarks/FI_SBEND_FMDef_Env_T2.pdf}}
+ \hspace{1.8cm}
+ \subfloat[Transverse RMS emittance]{\includegraphics[width=0.5\textwidth-1cm, keepaspectratio=true]{figures/Benchmarks/FI_SBEND_FMDef_Emi_T2.pdf}}
+ \caption{TRACE 3D and \opal comparison: SBEND with field index and default field map}
+ \label{fig:SBEND_FI}
+\end{center}
+ \end{figure}
+
+Concerning the emittances and vertical beam size, a perfect agreement has been found, instead a defocusing effect appears in the horizontal plane. These results have been obtained with the default field map provided by \opal. However, a better result, only in the beam size as shown in \figref{SBEND_FI_test}, is achieved using a test field map in which the fringe field extension has been changed in the thin lens approximation.
+
+\begin{figure}[!htb]
+\begin{center}
+ \subfloat[Transverse beam size]{\includegraphics[width=0.5\textwidth-1cm, keepaspectratio=true]{figures/Benchmarks/FI_SBEND_FMTest_Env_T2.pdf}}
+ \hspace{1.8cm}
+ \subfloat[Transverse RMS emittance]{\includegraphics[width=0.5\textwidth-1cm, keepaspectratio=true]{figures/Benchmarks/FI_SBEND_FMTest_Emit_T2.pdf}}
+ \caption{TRACE 3D and \opal comparison: SBEND with field index and test field map}
+ \label{fig:SBEND_FI_test}
+ \end{center}
+ \end{figure}
+\end{itemize}
+
+\subsubsection{From TRACE 3D to \opalt}
+\label{ssec:T3DtoOPAL}
+
+\begin{table}[!htb]
+\centering
+\caption{Bending magnet features in TRACE 3D and \opalt}
+\label{tab:Bend_Trace_OPAL}
+ \begin{tabular}{|l|l|l|}
+ \hline
+ \tabhead{Parameter & Trace 3D & \opalt}
+ \hline
+ \textbf{Bend card} & 8 & \keyword{SBEND} or \keyword{RBEND} \\
+ Angle & Input parameter [deg] & Input/Calc. parameter [rad] \\
+ Magn. field & Calculated. [T] & Input/Calc parameter [T] \\
+ Radius of curv. & Input parameter [mm] & Output information [m] \\
+ Field-index & Input parameter & Input parameter \\
+ Length & Calculated [mm] & Input/Calc parameter [m] \\
+ Length type & Effective & Straight \\
+ \hline
+ \hline
+ \textbf{Edge card} & 9 & \keyword{SBEND} or \keyword{RBEND} \\
+ Edge angle & Input parameter [deg] & Input parameter [rad] \\
+ \hline
+ \hline
+ \textbf{Vertical gap} & 9 & \keyword{SBEND} or \keyword{RBEND} \\
+ Gap & Total [mm] & Total [m] \\
+ \hline
+ \hline
+ \textbf{Fringe field card} & 9 & FIELD MAP \\
+ $K_1$ & Default: 0.45 & - \\
+ $K_2$ & Default: 2.8 & - \\
+ \hline
+ \hline
+ \textbf{Bend direction} & Bend angle sign & Coord. rotation \\
+ Horiz. right & Angle $>$ 0 & Angle $>$ 0 \\
+ Horiz. left & Angle $<$ 0 & Angle $<$ 0 \\
+ Vertical bend & Card 8, vf $>$ 0 & Coord. rotation \\
+ \hline
+ \end{tabular}
+\end{table}
+
+%----------------------------------------------------------------------------------------
+% Conclusion
+%----------------------------------------------------------------------------------------
+
+\subsection{Conclusion}
+\label{sec:conclusion}
+
+\begin{itemize}
+
+\item \textbf{TRACE 3D and TRANSPORT:} \\
+- a perfect agreement has been found between these two codes in transversal envelope and emittance; \\
+- changing the TRANSPORT units, the input beam parameters, in terms of sigma-matrix coefficients, can directly be imported from TRACE 3D file.
+
+\item \textbf{TRACE 3D and \opalt:} \\
+- a good agreement has been found between these two codes in case of sector bending magnet with and without edge angles;\\
+% ADA the field index definition should be clarified according to the results of TEST1, TEST2 and TEST3; \\
+- the default magnetic field map seems not working properly if the field index is not zero\\
+- an improvement of the test map used is needed in order to match the TRACE 3D emittance \seefig{SBEND_FI_test}.
+\end{itemize}
+
+
+\section{Hard Edge Dipole Comparison with ELEGANT}
+
+\subsection{\opal Dipole}
+When defining a dipole (\keyword{SBEND} or \keyword{RBEND}) in \opal, a fringe field map which defines the range of the field and the Enge coefficients is required. If no map is provided, the code uses a default map. Here is a dipole definition using the default map:
+
+\begin{description}
+\item[Example:]
+\item \begin{example}
+ bend1: SBEND, ANGLE = bend_angle,
+ E1 = 0, E2 = 0,
+ FMAPFN = "1DPROFILE1-DEFAULT",
+ ELEMEDGE = drift_before_bend,
+ DESIGNENERGY = bend_energy,
+ L = bend_length,
+ WAKEF = FS_CSR_WAKE;
+ \end{example}
+\end{description}
+Please refer to \secref{1DProfile1} for the definition of the field map and the default map \keyword{1DPROFILE1-DEFAULT}. It defines a fringe field that extends to 10 cm away from a dipole edge in both directions and it has both $B_y$ and $B_z$ components. This makes the comparison between \opal and other codes which uses a hard edge dipole by default,cumbersome because one needs to carefully integrate thought the fringe field region in \opal in order to come up with the integrated fringe field value (FINT in ELEGANT) that usually used by these codes, e.g. the ELEGANT and the TRACE3D. So we need to find a default map for the hard edge dipole in \opal.
+
+\subsection{Map for Hard Edge Dipole}
+The proposed default map for a hard edge dipole can be:
+\begin{description}
+\item
+\begin{example}
+1DProfile1 0 0 2
+-0.00000001 0.0 0.00000001 3
+-0.00000001 0.0 0.00000001 3
+-99.9
+-99.9
+\end{example}
+\end{description}
+On the first line, the two zeros following \texttt{1DProfile1} are the orders of the Enge coefficient for the entrance and exit edge of the dipole. $2 cm$ is the default dipole gap width. The second line defines the fringe field region of the entrance edge of the dipole which extends from $-0.00000001 cm$ to $0.00000001 cm$. The third line defines the same fringe field region for the exit edge of the dipole. The $3$s on both line don't mean anything, they are just placeholders. On the fourth and fifth line, the zeroth order Enge coefficients for both edges are given. Since they are large negative numbers, the field in the fringe field region has no $B_z$ component and its $B_y$ component is just like the field in the middle of the dipole.
+\begin{figure}[!htb]
+\centering
+\includegraphics[height=0.5\textwidth-0.6cm, angle = -90, trim = 8mm 10mm 2mm 10mm, clip]{figures/Benchmarks/report-compare-default}
+\caption{Compare emittances and beam sizes obtained by using the hard edge map (\opal), the default map (\opal), and the ELEGANT}
+\label{fig:plot-compare-default}
+\end{figure}
+\figref{plot-compare-default} compares the emittances and beam sizes obtained by using the hard edge map, the default map and the ELEGANT. One can see that the results produced by the hard edge map match the ELEGANT results when FINT is set to zero.
+
+\subsection{Integration Time Step}
+When the hard edge map is used for a dipole, finer integration time step is needed to ensure the accurate of the calculation. \figref{plot-emit-dt} compares the normalized emittances generated using the hard edge map in \opal with varying time steps to those from the ELEGANT. \SI{0.01}{\pico\second} seems to be a optimal time step for the fringe field region. To speed up the simulations, one can use larger time steps outside the fringe field regions. In \figref{plot-emit-dt}, one can observe a discontinuity in the horizontal emittance when the hard edge map is used in the calculation. This discontinuity comes from the fact that \opal emittance is calculated at an instant time. Once the beam or part of the beam gets into the dipole, its $P_x$ gets a kick which will result in a sudden emittance change.
+\begin{figure}[!htb]
+\centering
+\includegraphics[width=0.5\textwidth-0.6cm,
+%angle = -90,
+trim = 20mm 0mm 8mm 0mm, clip]{figures/Benchmarks/report-emit-dt}
+\caption{Horizontal and vertical normalized emittances for different integration time steps}
+\label{fig:plot-emit-dt}
+\end{figure}
+
+\figref{plot-fringe-size,plot-fringe-size-zoom} examine the effects of the fringe field range and the integration time step on the simulation accuracy. \figref{plot-fringe-size-zoom} is a zoom-in plot of \figref{plot-fringe-size}. We can conclude that the size of the integration time step has more influence on the accuracy of the simulation.
+\begin{figure}[!htb]
+\centering
+\includegraphics[height=0.5\textwidth-0.6cm, angle = -90, trim = 3mm 0mm 2mm 0mm, clip]{figures/Benchmarks/report-fringe-size}
+\caption{Normalized horizontal emittance for different fringe field ranges and integration time steps}
+\label{fig:plot-fringe-size}
+\end{figure}
+\begin{figure}[!htb]
+\centering
+\includegraphics[height=0.5\textwidth-0.6cm, angle = -90, trim = 3mm 0mm 2mm 0mm, clip]{figures/Benchmarks/report-fringe-size-zoom}
+\caption{Zoom in on the final emittance in \figref{plot-fringe-size-zoom}}
+\label{fig:plot-fringe-size-zoom}
+\end{figure}
+
+\section{1D CSR comparison with ELEGANT}
+1D-CSR wake function can now be used for the drift element by defining its attribute \keyword{WAKEF = FS\_CSR\_WAKE}. In order to calculate the CSR effect correctly, the drift has to follow a bending magnet whose CSR calculation is also turned on.
+
+\begin{description}
+\item[Example:]
+\item \begin{example}
+ bend1: SBEND, ANGLE = bend_angle,
+ E1 = 0, E2 = 0,
+ FMAPFN = ``1DPROFILE1-DEFAULT'',
+ ELEMEDGE = drift_before_bend,
+ DESIGNENERGY = bend_energy,
+ L = bend_length,
+ WAKEF = FS_CSR_WAKE;
+ \end{example}
+\item \begin{example}
+ drift1: DRIFT, L=0.4, ELEMEDGE = drift_before_bend +
+ bend_length, WAKEF = FS_CSR_WAKE;
+ \end{example}
+\end{description}
+
+\subsection{Benchmark}
+The \opal dipoles all have fringe fields. When comparisons are done between \opal and ELEGANT \cite{elegant} for example, one needs to appropriately set the FINT attribute of the bending magnet in ELEGANT in order to represent the field correctly. Although ELEGANT tracks in the ($x, x', y, y', s, \delta$) phase space, where $\delta = \frac{\Delta p}{p_0}$ and $p_0$ is the momentum of the reference particle, the watch point output beam distributions from the ELEGANT are list in ($x, x', y, y', t, \beta\gamma$). If one wants to compare ELEGANT watch point output distribution to \opal, unit conversion needs to be performed, i.e.
+\begin{eqnarray*}
+P_x &=& x'\beta\gamma, \\ P_y &=& y'\beta\gamma, \\ s &=& (\bar t-t)\beta c .
+\end{eqnarray*}
+
+
+To benchmark the CSR effect, we set up a simple beamline with 0.1m drift $+$ 30 degree sbend $+$ 0.4m drift. When the CSR effect is turn off, \figref{plot-emit-csr-off} shows that the normalized emittances calculated using both \opal and ELEGANT agree. The emittance values from \opal are obtained from the {\it .stat} file, while for ELEGANT, the transverse emittances are obtained from the sigma output file (enx, and eny), the longitudinal emittance is calculated using the watch point beam distribution output.
+\begin{figure}[!htb]
+\centering
+\includegraphics[height=0.5\textwidth-0.6cm, angle = -90, trim = 3mm 0mm 2mm 0mm, clip]{figures/Benchmarks/emit-csr-off}
+\caption{Comparison of the trace space using ELEGANT and \opal}
+\label{fig:plot-emit-csr-off}
+\end{figure}
+
+When CSR calculations are enabled for both the bending magnet and the following drift, \figref{plot-dpp-csr-on} shows the average $\delta$ or $\frac{\Delta p}{p}$ change along the beam line, and \figref{plot-emit-csr-on} compares the normalized transverse and longitudinal emittances obtained by these two codes. The average $\frac{\Delta p}{p}$ can be found in the centroid output file (Cdelta) from ELEGANT, while in \opal, one can calculate it using $\frac{\Delta p}{p} = \frac{1}{\beta^2}\frac{\Delta \overline{E}}{\overline{E}+mc^2}$, where $\Delta \overline{E}$ is the average kinetic energy from the {\it .stat} output file.
+\begin{figure}[!htb]
+\centering
+\includegraphics[height=0.5\textwidth-0.6cm, angle = -90, trim = 3mm 0mm 2mm 0mm, clip]{figures/Benchmarks/dpp-csr-on}
+\caption{$\frac{\Delta p}{p}$ in Elegant and \opal}
+\label{fig:plot-dpp-csr-on}
+\end{figure}
+In the drift space following the bending magnet, the CSR effects are calculated using Stupakov's algorithm with the same setting in both codes. The average fractional momentum change $\frac{\Delta p}{p}$ and the longitudinal emittance show good agreements between these codes. However, they produce different horizontal emittances as indicated in \figref{plot-emit-csr-on}.
+\begin{figure}[!htb]
+\centering
+\includegraphics[height=0.5\textwidth-0.6cm, angle = -90, trim = 3mm 0mm 2mm 0mm, clip]{figures/Benchmarks/emit-csr-on}
+\caption{Transverse emittances in ELEGANT and \opal}
+\label{fig:plot-emit-csr-on}
+\end{figure}
+
+One important effect to notice is that in the drift space following the bending magnet, the normalized emittance $\epsilon_x(x, P_x)$ output by \opal keeps increasing while the trace-like emittance $\epsilon_x(x, x')$ calculated by ELEGANT does not. This can be explained by the fact that with a relatively large energy spread (about $3\%$ at the end of the dipole due to CSR), {\bf an correlation} between transverse position and energy can build up in a drift thereby induce emittance growth. However, this effect can only be observed in the normalized emittance calculated with $\epsilon_x(x, P_x) = \sqrt{\langle x^2 \rangle \langle P_x^2\rangle - \langle xP_x \rangle^2}$ where $P_x = \beta\gamma x'$, not the trace-like emittance which is calculated as $\epsilon_x(x, x') = \beta\gamma\sqrt{\langle x^2 \rangle \langle x'^2 \rangle - \langle xx' \rangle^2}$ \cite{prstab2003}. In \figref{plot-emit-csr-on}, a trace-like horizontal emittance is also calcualted for the \opal output beam distributions. Like the ELEGANT result, this trace-like emittance doesn't grow in the drift. However, their differences come from the ELEGANT's lack of CSR effect in the fringe field region.
+
+\section{\opal \& \impactt}
+This benchmark compares rms quantities such as beam size and emittance of \opal and \impactt \cite{qiang2005, qiang2006-1, qiang2006-2}. A {\bf cold} \SI{10}{\milli\ampere} H+ bunch is expanding in a \SI{1}{\meter} drift space. A Gaussian distribution, with a cut at 4 $\sigma$ is used. The charge is computed by assuming a \SI{1}{\mega\hertz} structure i.e. $Q_{\text{tot}}=\frac{I}{\nu_{\text{rf}}}$. For the simulation we use a grid with $16^{3}$ grid point and open boundary condition. The number of macro
+particles is $N_{\text{p}} = 10^{5}$.
+
+\subsection{\opal Input}
+\begin{longexample}
+OPTION, ECHO = FALSE, PSDUMPFREQ = 10,
+STATDUMPFREQ = 10, REPARTFREQ = 1000,
+PSDUMPLOCALFRAME = FALSE;
+
+TITLE, string="Gaussian bunch drift test";
+
+Edes = 0.001; // GeV
+CURRENT = 0.01; // A
+
+gamma=(Edes+PMASS)/PMASS;
+beta=sqrt(1-(1/gamma^2));
+gambet=gamma*beta;
+P0 = gamma*beta*PMASS;
+
+D1: DRIFT, ELEMEDGE = 0.0, L = 1.0;
+
+L1: LINE = (D1);
+
+Fs1: FIELDSOLVER, FSTYPE = FFT, MX = 16, MY = 16, MT = 16, BBOXINCR=0.1;
+
+Dist1: DISTRIBUTION, DISTRIBUTION = GAUSS,
+ OFFSETX = 0.0, OFFSETY = 0.0, OFFSETZ = 15.0e-3,
+ SIGMAX = 5.0e-3, SIGMAY = 5.0e-3, SIGMAZ = 5.0e-3,
+ OFFSETPX = 0.0, OFFSETPY = 0.0, OFFSETPZ = 0.0,
+ SIGMAPX = 0.0 , SIGMAPY = 0.0 , SIGMAPZ = 0.0 ,
+ CORRX = 0.0, CORRY = 0.0, CORRZ = 0.0,
+ CUTOFFX = 4.0, CUTOFFY = 4.0, CUTOFFLONG = 4.0;
+
+Beam1: BEAM, PARTICLE = PROTON, CHARGE = 1.0, BFREQ = 1.0e6, PC = P0,
+ NPART = 1E5, BCURRENT = CURRENT, FIELDSOLVER = Fs1;
+
+SELECT, LINE = L1;
+
+TRACK, LINE = L1, BEAM = Beam1, MAXSTEPS = 1000, ZSTOP = 1.0, DT = 1.0e-10;
+ RUN, METHOD = "PARALLEL-T", BEAM = Beam1, FIELDSOLVER = Fs1, DISTRIBUTION = Dist1;
+ENDTRACK;
+STOP;
+\end{longexample}
+
+\subsection{\impactt Input}
+\begin{longexample}
+!Welcome to \impactt input file.
+!All comment lines start with "!" as the first character of the line.
+! col row
+1 1
+!
+! information needed by the integrator:
+! step-size, number of steps, and number of bunches/bins (??)
+!
+! dt Ntstep Nbunch
+1.0e-10 700 1
+!
+! phase-space dimension, number of particles, a series of flags
+! that set the type of integrator, error study, diagnostics, and
+! image charge, and the cutoff distance for the image charge
+!
+! PSdim Nptcl integF errF diagF imchgF imgCutOff (m)
+6 100000 1 0 1 0 0.016
+!
+! information about mesh: number of points in x, y, and z, type
+! of boundary conditions, transverse aperture size (m),
+! and longitudinal domain size (m)
+!
+! Nx Ny Nz bcF Rx Ry Lz
+16 16 16 1 0.15 0.15 1.0e5
+!
+!
+! distribution type number (2 == Gauss), restart flag, space-charge substep
+! flag, number of emission steps, and max emission time
+!
+! distType restartF substepF Nemission Temission
+2 0 0 -1 0.0
+!
+! sig* sigp* mu*p* *scale p*scale xmu* xmu*
+!
+0.005 0.0 0.0 1. 1. 0.0 0.0
+0.005 0.0 0.0 1. 1. 0.0 0.0
+0.005 0.0 0.0 1. 1. 0.0 0.0462
+!
+! information about the beam: current, kinetic energy, particle
+! rest energy, particle charge, scale frequency, and initial cavity phase
+!
+! I/A Ek/eV Mc2/eV Q/e freq/Hz phs/rad
+0.010 1.0e6 938.271998e+06 1.0 1.0e6 0.0
+!
+!
+! ======= machine description starts here =======
+! the following lines, which must each be terminated with a '/',
+! describe one beam-line element per line; the basic structure is
+! element length, ???, ???, element type, and then a sequence of
+! at most 24 numbers describing the element properties
+! 0 drift tube 2 zedge radius
+! 1 quadrupole 9 zedge, quad grad, fileID,
+! radius, alignment error x, y
+! rotation error x, y, z
+! L/m N/A N/A type location of starting edge v1 <B0><B0><B0> v23 /
+1.0 0 0 0 0.0 0.5 /
+\end{longexample}
+
+\subsection{Results}
+A good agreement is shown in the \figref{plot-opal-impact1,plot-opal-impact2}. This proves to some extend the compatibility of the
+space charge solvers of \opal and \impactt.
+
+\begin{figure}[!htb]
+\centering
+\includegraphics[width=0.5\textwidth-0.6cm, angle = 0, trim = 20mm 0mm 15mm 0mm, clip]{figures/Benchmarks/opal-impact-1MHz-x}
+\hspace{1cm}
+\includegraphics[width=0.5\textwidth-0.6cm, angle = 0, trim = 20mm 0mm 15mm 0mm, clip]{figures/Benchmarks/opal-impact-1MHz-y}
+\caption{Transverse beam sizes and emittances in \impactt and \opal}
+\label{fig:plot-opal-impact1}
+\end{figure}
+
+\begin{figure}[!htb]
+\centering
+\includegraphics[width=0.5\textwidth-0.6cm, angle = 0, trim = 20mm 0mm 15mm 0mm, clip]{figures/Benchmarks/opal-impact-1MHz-z}
+\caption{Longitudinal beam size and emittance in \impactt and \opal}
+\label{fig:plot-opal-impact2}
+\end{figure}
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/bibliography.bib b/doc/user_guide/bibliography.bib
new file mode 100644
index 0000000000000000000000000000000000000000..52aab38557f3693a9703f9b39d4cdfd89dc6b86f
--- /dev/null
+++ b/doc/user_guide/bibliography.bib
@@ -0,0 +1,903 @@
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+@string{IAWPL = "IEEE Antennas Wirel. Propag. Lett."}
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+@string{NIMA = "Nucl. Instrum. Methods Phys. Res. Sect. A"}
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+@string{PhysLettA = "Phys. Lett. A"}
+@string{PhysRev = "Phys. Rev."}
+@string{AJP = "Am. J. Phys."}
+@string{AMC = "Appl. Math. Comput."}
+@string{PC = "Parallel Computing"}
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+publisher = {Hemisphere Publishing Corp},
+title = {Static and Dynamic Electricity},
+year = {1989},
+comment = {problems for Chapter 5},
+}
+
+@article{qiangnewtoncotes,
+author = {J. Qiang},
+journal = CPC,
+pages = {313-316},
+title = {A high-order fast method for computing convolution integral with smooth kernel},
+volume = {18},
+year = {2010},
+}
+
+@inproceedings{rynehabibwangler,
+author = {R. D. Ryne and S. Habib and T. P. Wangler},
+booktitle = {Proc 1995 Particle Accelerator Conference},
+title = {Halos of Intense Proton Beams},
+year = {1995},
+}
+
+@techreport{HOMY,
+author = {M. Ferrario and J. E. Clendenin and D. T. Palmer and J. B. Rosenzweig and L. Serafini},
+institution = {SLAC},
+month = {March},
+number = {SLAC-PUB-8400},
+title = {HOMDYN Study for the LCLS RF Photo-Injector},
+year = {2000},
+}
+
+@techreport{HOMY2,
+author = {M. Ferrario},
+title = {HOMDYN User Guide},
+}
+
+@techreport{bib:classic,
+author = {F. C. Iselin},
+title = {The Classic Project},
+institution = {CERN},
+year = {1996},
+number = {CERN/SL/96-061},
+url = {https://cds.cern.ch/record/311682/files/sl-96-061.pdf}
+}
+
+@techreport{bib:opal,
+title = {The OPAL (Object Oriented Parallel Accelerator Library) Framework},
+author = {Andreas Adelmann and Achim Gsell and Valeria Rizzoglio (PSI) and Christof Metzger-Kraus
+(HZB) and Yves Ineichen (IBM) and Xiaoying Pang and Steve Russell (LANL) and Chuan Wang and
+Jianjun Yang (CIAE) and Suzanne Sheehy and Chris Rogers (RAL) and Daniel Winklehner (MIT)},
+institution = {Paul Scherrer Institut},
+number = {PSI-PR-08-02},
+year = {(2008-2016)}
+}
+
+@inproceedings{bib:howison2010,
+ author = {{Howison}, M. and {Adelmann}, A. and {Bethel}, E.W. and {Gsell}, A. and {Oswald}, B. and {Prabhat}},
+ title = "{H5hut: A High-Performance I/O Library for Particle-based Simulations}",
+ year = 2010,
+ location = "Heraklion, Greece",
+booktitle = "{IEEE International Conference on Cluster Computing Workshops and Posters}",
+ pages = {1-8},
+ doi = {10.1109/CLUSTERWKSP.2010.5613098}
+}
+
+@unpublished{bib:schietinger,
+author = {T. Schietinger},
+title = {H5ROOT},
+year = {2006},
+url = {http://amas.web.psi.ch/tools/H5root/index.html}
+}
+
+@inproceedings{bib:borland1995,
+author = {M. Borland},
+title = {A Self-Describing File Protocol for Simulation Integration and Shared Postprocessors},
+year = 1995,
+booktitle = {Proc. 1995 PAC},
+month = may,
+location = {Dallas, Texas},
+pages = {2184-2186},
+url = {http://accelconf.web.cern.ch/AccelConf/p95/ARTICLES/WAE/WAE11.PDF}
+}
+
+@inproceedings{bib:borland1998,
+author = {M. Borland},
+title = {A Universal Postprocessing Toolkit for Accelerator Simulation and Data Analysis},
+year = 1998,
+booktitle = {Proc. 1998 ICAP Conference},
+month = Sept,
+location = {Monterey, California},
+pages = {FTU10},
+url = {http://www.slac.stanford.edu/econf/C980914/papers/F-Tu10.pdf}
+}
+
+@online{bib:borland2016,
+author = {{Borland}, M. and {Emery}, L. and {Shang}, H. and {Soliday}, R.},
+title = {User's Guide for {SDDS} Toolkit Version 2.8},
+url = {http://www.aps.anl.gov/Accelerator_Systems_Division/Accelerator_Operations_Physics/manuals/SDDStoolkit/SDDStoolkit.pdf}
+}
+
+@online{bib:tait-bryan,
+title = {Tait-Bryan Angles},
+url = {https://en.wikipedia.org/wiki/Euler_angles#Tait.E2.80.93Bryan_angles}
+}
+
+@online{bib:paraview,
+title = {Para{V}iew},
+url = {http://www.paraview.org}
+}
+
+@online{bib:visit,
+title = {Vis{I}t},
+url = {https://wci.llnl.gov/simulation/computer-codes/visit/}
+}
+
+@article{bib:murphy1997,
+ author = {{Murphy}, J.~B. and {Krinsky}, S. and {Gluckstern}, R.~L.},
+ title = "{Longitudinal Wakefield for an Electron Moving on a Circular Orbit}",
+ journal = "Particle Accelerators",
+ year = 1997,
+ month = mar,
+ volume = 57,
+ pages = {9-64}
+}
+
+@article{bib:schiff1945,
+ author = {{Schiff}, L.~I.},
+ title = "{Production of Particle Energies beyond 200 MeV}",
+ journal = "Rev. Sci. Instr.",
+ year = 1945,
+ month = dec,
+ volume = 17,
+ number = 1,
+ pages = {6-14},
+ doi = {10.1063/1.1770395}
+}
+
+@ARTICLE{bib:nodvick1954,
+ author = {{Nodvick}, J.~S. and {Saxon}, D.~S.},
+ title = "{Suppression of Coherent Radiation by Electrons in a Synchrotron}",
+ journal = PhysRev,
+ year = 1954,
+ month = oct,
+ volume = 96,
+ pages = {180-184},
+ doi = {10.1103/PhysRev.96.180}
+}
+
+@article{bib:saldin2004,
+ author = {{Saldin}, E.~L. and {Schneidmiller}, E.~A. and {Yurkov}, M.~V.},
+ title = "{Longitudinal space charge-driven microbunching instability in the TESLA Test Facility linac}",
+ journal = NIMA,
+ volume = 528,
+ number = {1-2},
+ pages = {355-359},
+ year = 2004,
+ doi = "10.1016/j.nima.2004.04.067"
+}
+
+@article{bib:saldin1997,
+ author = {{Saldin}, E.~L. and {Schneidmiller}, E.~A. and {Yurkov}, M.~V.},
+ title = "{On the Coherent Radiation of an Electron Bunch Moving in an Arc of a Circle}",
+ journal = NIMA,
+ volume = 398,
+ number = {2-3},
+ pages = {373-394},
+ year = 1997,
+ doi = "10.1016/S0168-9002(97)00822-X"
+}
+
+@article{bib:schwinger1949,
+ author = {{Schwinger}, J.},
+ title = "{On the Classical Radiation of Accelerated Electrons}",
+ journal = PhysRev,
+ volume = {75},
+ issue = {12},
+ pages = {1912--1925},
+ year = 1949,
+ month = {Jun},
+ doi = {10.1103/PhysRev.75.1912}
+}
+
+@book{bib:schott,
+ author = {{Schott}, G.~A.},
+ title = "{Electromagnetic Radiation}",
+publisher = "Cambridge University Press",
+ year = 1912
+}
+
+@article{bib:mitchell2013,
+title = "A fast method for computing 1-D wakefields due to coherent synchrotron radiation ",
+journal = NIMA,
+volume = "715",
+number = "",
+pages = "119 - 125",
+year = "2013",
+author = "Chad E. Mitchell and Ji Qiang and Robert D. Ryne",
+}
\ No newline at end of file
diff --git a/doc/user_guide/changelog.tex b/doc/user_guide/changelog.tex
new file mode 100644
index 0000000000000000000000000000000000000000..b82dea0b9a56dee86f908700ecceafc74d04a857
--- /dev/null
+++ b/doc/user_guide/changelog.tex
@@ -0,0 +1,67 @@
+\input{header}
+
+\chapter{Changelog}
+\label{chp:changelog}
+
+\section{Changes in \opal Version 1.3.0}
+\subsection{Cyclotron Element}
+In order to accommodate axial injection through a spiral inflector, the Cyclotron element has been updated with
+a z coordinate and a pz for the reference particle (\keyword{ZINIT}, \keyword{PZINIT}).
+
+\subsection{AMG Solver}
+The AMG Solver (including arbitrary boundary condition) is enabled per default.
+
+\subsection{Variable Frequency RF}
+Variable frequency RF is now available in \opalcycl mode when using the
+\keyword{RINGDEFINITION} as described in
+\secref{variable-rf-cavity-cycl}. A new \keyword{LOCAL\_CARTESIAN\_OFFSET}
+element is introduced to enable overlapping elements in the
+\keyword{RINGDEFINITION}, described in \secref{ringdefinition}.
+
+\subsection{Appendix}
+Two new Appendices, \appref{benchmarks} with Benchmarks (TRANSPORT, TRACE3D and IMPACT-T) and in \appref{autophasing} a description of the auto phasing mechanism in \opalt and \opalenv is available.
+
+\subsection{Unit Tests}
+Parts of \opal can be tested using unit tests, details can be found in \chpref{unittest}
+
+\section{Changes in \opal Version 1.2.0}
+\subsection{Distribution}
+The distribution class is totally rewritten. You have to indicate the units to be used for $p_x,p_y$ and $p_z$ with the
+new argument \keyword{INPUTMOUNITS}. At the moment electron volt (\keyword{EV}) or $\beta\gamma$ (\keyword{NONE} which is default) are available.
+\begin{Verbatim}[label={My orange command sample output}]
+Dist1:DISTRIBUTION, DISTRIBUTION = GAUSS,
+ SIGMAX = 1.e-03,
+ SIGMAPX = 1.0,
+ CORRX = 0.0,
+ SIGMAY = 1.e-03,
+ SIGMAPY = 1.0,
+ CORRY = 0.0,
+ SIGMAT = 2.e-3 ,
+ INPUTMOUNITS = EV;
+\end{Verbatim}
+An hands-on example is given in \secref{oldtonewdist}. Furthermore the \keyword{PC} argument of the \keyword{BEAM} command defines the mean energy of the generated distribution. The attributes \keyword{PZ} and \keyword{PT} are no longer supported. The full
+correlation matrix $\mathbf\sigma$ can be defined for the \keyword{GAUSS} distribution.
+
+\subsection{\keyword{SBEND} and \keyword{RBEND}}
+The elements \keyword{SBEND} and \keyword{RBEND} for \opalt have also been rewritten. (See \secref{bend} for a
+full description.) If you have input files with an \keyword{SBEND} or \keyword{RBEND} already defined, here are the key
+changes you must make for those definitions to work properly:
+
+\begin{enumerate}
+\item All angles are now specified in radians.
+\item Energy units for the bend reference particle are now specified in eV.
+\item For bend definitions that use your own, custom field map, \emph{do not specify the bend length, \keyword{L}}.
+\end{enumerate}
+
+\subsection{Misalignment}
+The misalignment argument \keyword{DZ}, misalignment in z direction is no longer supported, instead use \keyword{ELEMEDGE}.
+
+\subsection{New elements: \keyword{SBend3D} \& \keyword{RINGDEFINITION}}
+
+\keyword{SBend3D} \seessec{SBend3D} \& \keyword{RingDefinition} \seesec{ringdefinition} adding FFAG and more general Ring modeling capabilities.
+
+\subsection{Space Charge Solver}
+Still in an experimental stage, two iterative solvers can be enabled \seechp{installation}. With both solvers the exact boundary conditions
+cab be applied. Per default and in the binary distribution the solvers are disabled. We are working on regression tests and plan to have them ready in Version 1.2.1.
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/control.tex b/doc/user_guide/control.tex
new file mode 100755
index 0000000000000000000000000000000000000000..0b726868877a778538cb48228239de8348437c82
--- /dev/null
+++ b/doc/user_guide/control.tex
@@ -0,0 +1,780 @@
+\input{header}
+
+\chapter{Control Statements}
+\label{chp:control}
+\index{Control Statements|(}
+\index{Program Control}
+
+\section{Getting Help}
+
+\subsection{HELP Command}
+\label{sec:help}
+\index{HELP}
+A user who is uncertain about the attributes of a command
+should try the command \keyword{HELP}, which has three formats:
+\begin{example}
+HELP; // Give help on the "HELP" command
+HELP,NAME=label; // List funct. and attr. types of
+ // "label"
+HELP,label; // Shortcut for the second format
+\end{example}
+\texttt{label} is an {identifier} \seesec{label}.
+If it is non-blank,
+\opal prints the function of the object \texttt{label} and lists its
+attribute types.
+Entering \keyword{HELP} alone displays help on the \keyword{HELP}
+command.
+
+\noindent Examples:
+\begin{example}
+HELP;
+HELP,NAME=TWISS;
+HELP,TWISS;
+\end{example}
+
+\subsection{SHOW Command}
+\label{sec:show}
+\index{SHOW}
+The \keyword{SHOW} statement displays the current attribute values
+of an object.
+It has three formats:
+\begin{example}
+SHOW; // Give help on the "SHOW" command
+SHOW,NAME=pattern; // Show names matching of "pattern"
+SHOW,pattern; // Shortcut for the second format
+\end{example}
+\texttt{pattern} is an {regular expression} \seesec{wildcard}.
+If it is non-blank,
+\opal displays all object names matching the \texttt{pattern}.
+Entering \keyword{SHOW} alone displays help on the \keyword{SHOW}
+command.
+
+\noindent Examples:
+\begin{example}
+SHOW;
+SHOW,NAME="QD.*\.L*";
+SHOW,"QD.*\.L*";
+\end{example}
+
+\subsection{WHAT Command}
+\label{sec:what}
+\index{WHAT}
+The \keyword{WHAT} statement displays all object names matching a given
+regular expression.
+It has three formats:
+\begin{example}
+WHAT; // Give help on the "WHAT" command
+WHAT,NAME=label; // Show definition of "label"
+WHAT,label; // Shortcut for the second format
+\end{example}
+\texttt{label} is an {identifier} \seesec{label}.
+If it is non-blank,
+\opal displays the object \texttt{label} in a format similar to the
+input statement that created the object.
+Entering \keyword{WHAT} alone displays help on the \keyword{WHAT}
+command.
+\noindent Examples:
+\begin{example}
+WHAT;
+WHAT,NAME=QD;
+WHAT,QD;
+\end{example}
+
+\section{STOP / QUIT Statement}
+\label{sec:stop}
+\index{STOP / QUIT}
+The statement
+\begin{example}
+STOP or QUIT;
+\end{example}
+terminates execution of the \opal program,
+or, when the statement occurs in a \keyword{CALL} file \seesec{call},
+returns to the calling file.
+Any statement following the \keyword{STOP} or \keyword{QUIT} statement is ignored.
+
+\section{OPTION Statement}
+\label{sec:option}
+\index{OPTION}
+The \keyword{OPTION} command controls global command execution and sets
+a few global quantities:
+\begin{example}
+OPTION,ECHO=logical,INFO=logical,TRACE=logical,
+ VERIFY=logical,WARN=logical,
+ SEED=real,TELL=logical,PSDUMPFREQ=integer,
+ STATDUMPFREQ=integer, SPTDUMFREQ=integer,
+ REPARTFREQ=integer, REBINFREQ=integer;
+\end{example}
+The first five logical flags activate or deactivate execution options:
+\begin{kdescription}
+ \item[ECHO]
+ \index{OPTION!ECHO}
+ Controls printing of an echo of input lines on the standard error file.
+
+ \item[INFO]
+ \index{OPTION!INFO}
+ If this option is turned off, \opal suppresses all information messages. It also affects the \filename{gnu.out} and \filename{eb.out} files in case of \opalcycl simulations.
+
+ %% \item[TRACE]
+ %% \index{TRACE}
+ %% When the \keyword{TRACE} option is on,
+ %% \opal writes additional trace information on the standard error file
+ %% for each executable command.
+ %% This information includes the command name
+ %% and elapsed CPU time before and after the command.
+ \item[VERIFY]
+ \index{OPTION!VERIFY}
+ If this option is on, \opal gives a message for each undefined variable
+ or element in a beam line.
+
+ \item[WARN]
+ \index{OPTION!WARN}
+ If this option is turned off, \opal suppresses all warning messages.
+
+ \item[TELL]
+ \index{OPTION!TELL}
+ If true, the current settings are listed.
+
+ \item[SEED]
+ \index{OPTION!SEED}
+ Selects a particular sequence of random values.
+ A SEED value is an integer in the range [0...999999999] (default: 123456789).
+ SEED can be an expression. If SEED $=$ -1, the time is used as seed and the generator is not portable anymore.
+ See also: random values \seesec{adefer}.
+
+ \item[PSDUMPFREQ]
+ \index{OPTION!PSDUMPFREQ}
+ Defines after how many time steps the phase space is dumped into the H5hut file. Default value is 10.
+
+ \item[STATDUMPFREQ]
+ \index{OPTION!STATDUMPFREQ}
+ Defines after how many time steps we dump statistical data, such as RMS beam emittance, to the .stat file.
+ The default value is 10. Currently only available for \opalt.
+
+ \item[SPTDUMPFREQ]
+ \index{OPTION!SPTDUMPFREQ}
+ Defines after how many time steps we dump the phase space of single particle.
+ It is always useful to record the trajectory of reference particle
+ or some specified particle for primary study. Its default value is 1.
+
+ \item[REPARTFREQ]
+ \index{OPTION!REPARTFREQ}
+ Defines after how many time steps we do particles repartition to balance the computational load of
+ the computer nodes. Its default value is 10.
+
+ \item[REBINFREQ]
+ \index{OPTION!REBINFREQ}
+ Defines after how many time steps we update the energy Bin ID of each particle. For the time being.
+ Only available for multi-bunch simulation in \opalcycl. Its default value is 100.
+
+ \item[PSDUMPEACHTURN]
+ \index{OPTION!PSDUMPEACHTURN}
+ Control option of phase space dumping. If true, dump phase space after each turn.
+ For the time being, this is only use for multi-bunch simulation in \opalcycl. Its default set is false.
+
+ \item[PSDUMPLOCALFRAME]
+ \index{OPTION!PSDUMPLOCALFRAME}
+ Control option whether the phase space data is dumped in the global Cartesian frame or in the local Cartesian frame.
+ If true, in local frame, otherwise in global Cartesian frame. Only available for \opalcycl. Its default set is false.
+ Note that restarting run cannot be launched by reading in phase space data in local frame.
+
+ \item[SCSOLVEFREQ]
+ \index{OPTION!SCSOLVEFREQ}
+ If the space charge field is slowly varying w.r.t. external fields, this option allows to change the frequency of space charge calculation,
+ i.e. the space charge forces are evaluated every SCSOLVEFREQ step and then reused for the following steps. Affects integrators LF-2 and RK-4 of \opalcycl. Its default value is 1. Note: as the multiple-time-stepping (MTS) integrator maintains accuracy much better with reduced space charge solve frequency, this option should probably not be used anymore.
+
+ \item[MTSSUBSTEPS]
+ \index{OPTION!MTSSUBSTEPS}
+ Only used for multiple-time-stepping (MTS) integrator in \opalcycl. Specifies how many sub-steps for external field integration are done per step. Default value is 1.
+ Making less steps per turn and increasing this value is the recommended way to reduce space charge solve frequency.
+
+ \item[RHODUMP]
+ \index{OPTION!RHODUMP}
+ If true the scalar $\rho$ field is saved each time a phase space is written. There exists a reader in Visit with versions
+ greater or equal 1.11.1.
+
+ \item[EFDUMP]
+ \index{OPTION!EFDUMP}
+ Not supported anymore.
+
+ \item[EBDUMP]
+ \index{OPTION!EBDUMP}
+ If true the electric and magnetic field on the particle is saved each time a phase space is written.
+
+ \item[CSRDUMP]
+ \index{OPTION!CSRDUMP}
+ If true the electric csr field component, $E_z$, line density and the derivative of the line density is written into the \filename{data} directory.
+
+ %% \item[AUTOPHASE]
+ %% \index{OPTION!AUTOPHASE}
+ %% A phase scan of all $n$ RF-elements is performed, if \keyword{AUTOPHASE} is greater than zero. \keyword{AUTOPHASE} finds the maximum energy
+ %% in a way similar to the code Astra.
+ %% \begin{enumerate}
+ %% \item find the phase $\phi_i$ for maximum energy of the $i$\engordletters{th} cavity.
+ %% \item track is continued with $\phi_i + LAG$ to the element $i+1$.
+ %% \item if $i<n$ goto $1$
+ %% \end{enumerate}
+ %% For convenience a file (\filename{inputfn.phases}) with the phases corresponding to the maximum energies is written. A \keyword{AUTOPHASE} value of $4$ gives Astra comparable results.
+ %% An example is given in \seesec{trackautoph}.
+
+ %The range of the phase within which the energy is maximized is refined \keyword{AUTOPHASE} times. For each level of refinement, $i$, the energy is evaluated at $11$ evenly distributed positions between $\phi_{i, \, \mathrm{low}}$ and $\phi_{i, \, \mathrm{high}}$ with spacing $\mathrm{d}\phi_i = \frac{\phi_{i, \, \mathrm{high}} - \phi_{i, \, \mathrm{low}}}{10}$ such that $\phi_{i,j} = \phi_{i, \, \mathrm{low}} + j \cdot \mathrm{d}\phi_i \quad \forall j \in [0 \ldots 10]$. The new search range is then defined by $\phi_{i,\,\mathrm{max}} \pm \mathrm{d}\phi_i$. The final phase after $N$ refinements has an accuracy of $\frac{2\pi}{5^{N}}$ where $N \equiv \mathrm{AUTOPHASE}$.
+ %The higher \keyword{AUTOPHASE} is the more accurate the result but also the more time is needed to compute the result.
+
+ \item[SCAN]
+ \index{OPTION!SCAN}
+ If true one can simulate in a loop several machines where some variables can be random variables. Find an
+ example in \secref{randmach}.
+
+ \item[CZERO]
+ \index{OPTION!CZERO}
+ If true the distributions are generated such that the centroid is exactly zero and not statistically dependent.
+
+ \item[RNGTYPE]
+ \index{OPTION!RNGTYPE}
+ The name \seesec{astring} of a random number generator can be provided. The default random number generator (RANDOM) is a portable 48-bit generator. Three quasi random generators are available:
+ \begin{enumerate}
+ \item HALTON
+ \item SOBOL
+ \item NIEDERREITER.
+ \end{enumerate}
+ For details see the GSL reference manual (18.5).
+
+ \item[ENABLEHDF5]
+ \index{OPTION!ENABLEHDF5}
+ If true (default), HDF5 read and write is enabled.
+
+ \item[ASCIIDUMP]
+ \index{OPTION!ASCIIDUMP}
+ If true, instead of HDF5, ASCII output is generated for the following elements: Probe, Collimator, Monitor, Stripper, Foil and global losses.
+
+ \item[NLHS]
+ \index{OPTION!NLHS}
+ Number of stored old solutions for extrapolating the new starting vector. Default value is 1 and just the last solution is used.
+
+ \item[NUMBLOCKS]
+ \index{OPTION!NUMBLOCKS}
+ Maximum number of vectors in the Krylov space (for RCGSolMgr). Default value is 0 and BlockCGSolMgr will be used.
+
+ \item[RECYCLEBLOCKS]
+ \index{OPTION!RECYCLEBLOCKS}
+ Number of vectors in the recycle space (for RCGSolMgr). Default value is 0 and BlockCGSolMgr will be used.
+
+ \item[BOUNDPDESTROYFQ]
+ \index{OPTION!BOUNDPDESTROYFQ}
+ The frequency to do \texttt{boundp\_destroy} to delete lost particles. Default 10
+
+ \item[REMOTEPARTDEL]
+ \index{OPTION!REMOTEPARTDEL}
+ Artificially delete the remote particle if its distance to the beam mass is larger than \keyword{REMOTEPARTDEL} times of the beam rms size, its default values is -1 (no delete)
+
+ \item[IDEALIZED]
+ \index{OPTION!IDEALIZE}
+ Instructs to use the hard edge model for the calculation of the path length in \opalt. The path length is computed to place the elements in the three-dimensional space from \keyword{ELEMEDGE}. Default is false.
+
+ \item[LOGBENDTRAJECTORY]
+ \index{OPTION!LOGBENDTRAJECTORY}
+ Save the reference trajectory inside dipoles in an ASCII file. For each dipole a separate file is written to the directory \filename{data/}. Default is false.
+
+ \item[VERSION]
+ \index{OPTION!VERSION}
+ Used to indicate for which version of \opal the input file is written. The versions of \opal and of the input file have to match. The format is \texttt{Mmmpp} where \texttt{M} stands for the major, \texttt{m} for the minor and \texttt{p} for the patch version. For version 1.6.0 of \opal \keyword{VERSION} should read \texttt{10600}. If the version doesn't match then \opal stops immediately and prints instructions on how to convert the input file.
+
+ \item[PPDEBUG]
+ \index{OPTION!PPDEBUG}
+ \TODO{Describe option PPDEBUG}
+
+ \item[SURFDUMPFREQ]
+ \index{OPTION!SURFDUMPFREQ}
+ \TODO{Describe option SURFDUMPFREQ}
+
+ \item[BEAMHALOBOUNDARY]
+ \index{OPTION!BEAMHALOBOUNDARY}
+ \TODO{Describe option BEAMHALOBOUNDARY}
+
+ \item[CLOTUNEONLY]
+ \index{OPTION!CLOTUNEONLY}
+ \TODO{Describe option CLOTUNEONLY}
+\end{kdescription}
+
+
+\noindent Examples:
+\begin{example}
+OPTION,ECHO=FALSE,TELL;
+OPTION,SEED=987456321
+\end{example}
+
+\begin{table}[ht] \footnotesize
+ \caption{Default Settings for Options}
+ \label{tab:option}
+ \begin{center}
+ \begin{tabular}{|ll|ll|ll|}
+ \hline
+ \keyword{ECHO} & = \keyword{FALSE} &
+ \keyword{INFO} & = \keyword{TRUE} &
+ \keyword{TRACE} & = \keyword{FALSE} \\
+ \hline
+ \keyword{WARN} & = \keyword{TRUE} &
+ \keyword{VERIFY} & = \keyword{FALSE} &
+ \keyword{TELL} & = \keyword{FALSE} \\
+ \hline
+ \keyword{SEED} & = \texttt{123456789} &
+ \keyword{VERIFY} & = \keyword{FALSE} &
+ \keyword{SPTDUMPFREQ} & = \texttt{1} \\
+ \hline
+ \keyword{PSDUMPFREQ} & = \texttt{10} &
+ \keyword{STATDUMPFREQ} & = \texttt{10} &
+ \keyword{REPARTFREQ} & = \texttt{10} \\
+ \hline
+ \keyword{BOUNDPDESTROYFQ} & = \texttt{10} &
+ \keyword{REBINFREQ} & = \texttt{100} &
+ \keyword{SCSOLVEFREQ} & = \texttt{1} \\
+ \hline
+ \keyword{PSDUMPEACHTURN} & = \keyword{FALSE} &
+ \keyword{PSDUMPLOCALFRAME} & = \keyword{FALSE} &
+ \keyword{MTSSUBSTEPS} & = \texttt{1} \\
+ \hline
+ \keyword{RHODUMP} & = \keyword{FALSE} &
+ \keyword{EBDUMP} & = \keyword{FALSE} &
+ \keyword{CSRDUMP} & = \keyword{FALSE} \\
+ \hline
+ \keyword{ASCIIDUMP} & = \keyword{FALSE} &
+ \keyword{CZERO} & = \keyword{FALSE} &
+ \keyword{RNGTYPE} & = \texttt{"RANDOM"} \\
+ \hline
+ \keyword{SCAN} & = \keyword{FALSE} &
+ \keyword{NUMBLOCKS} & = \texttt{0} &
+ \keyword{RECYCLEBLOCKS} & = \texttt{0} \\
+ \hline
+ \keyword{NLHS} & = \texttt{1} &
+ \keyword{IDEALIZE} & = \keyword{FALSE} &
+ \keyword{ENABLEHDF5} & = \keyword{TRUE} \\
+ \hline
+ \keyword{REMOTEPARTDEL} & = \texttt{-1} &
+ \keyword{LOGBENDTRAJECTORY} & = \keyword{FALSE} &
+ \keyword{PPDEBUG} & = \keyword{FALSE} \\
+ \hline
+ \keyword{SURFDUMPFREQ} & = \texttt{-1} &
+ \keyword{BEAMHALOBOUNDARY} & = \texttt{0.0} &
+ \keyword{CLOTUNEONLY} & = \keyword{FALSE} \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\section{Parameter Statements}
+\label{sec:parameter}
+\index{Parameters}
+
+\subsection{Variable Definitions}
+\label{sec:variable}
+\index{Variable}
+\opal recognizes several types of variables.
+
+\subsubsection{Real Scalar Variables}
+\index{Variable!Real}
+\index{Real!Variable}
+\begin{example}
+REAL variable-name=real-expression;
+\end{example}
+The keyword \keyword{REAL} is optional.
+For backward compatibility the program also accepts the form
+\begin{example}
+variable-name:=real-expression;
+\end{example}
+This statement creates a new global variable \texttt{variable-name}
+and discards any old variable with the same name.
+Its value depends on all quantities occurring
+in {real-expression} \seesec{areal}.
+Whenever an operand changes in \texttt{real-expression},
+a new value is calculated.
+The definition may be thought of as a mathematical equation.
+However, \opal is not able to solve the equation for a quantity on the
+right-hand side.
+
+An assignment in the sense of the FORTRAN or C languages can be achieved
+by using the \keyword{EVAL} function \seesec{eval}.
+
+A reserved variable is the value \texttt{P0} which is used as the
+global reference momentum for normalizing all magnetic field coefficients.
+\noindent Example:
+\begin{example}
+REAL GEV=100;
+P0=GEV;
+\end{example}
+Circular definitions are not allowed:
+\begin{example}
+X=X+1; // X cannot be equal to X+1
+A=B;
+B=A; // A and B are equal, but of unknown value
+\end{example}
+However, redefinitions by assignment are allowed:
+\begin{example}
+X=EVAL(X+1);
+\end{example}
+
+\subsubsection{Real Vector Variables}
+\index{Real!Vector}
+\index{Variable!Vector}
+\index{Vector!Real}
+\begin{example}
+REAL VECTOR variable-name=vector-expression;
+\end{example}
+The keyword \keyword{REAL} is optional.
+This statement creates a new global variable \texttt{variable-name}
+and discards any old variable with the same name.
+Its value depends on all quantities occurring
+in {vector-expression} \seesec{anarray} on the right-hand side.
+Whenever an operand changes in \texttt{vector-expression},
+a new value is calculated.
+The definition may be thought of as a mathematical equation.
+However, \opal is not able to solve the equation for a quantity on the
+right-hand side.
+
+\noindent Example:
+\begin{example}
+REAL VECTOR A = TABLE(10, #);
+REAL VECTOR B = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 };
+\end{example}
+Circular definitions are not allowed, but redefinitions by assignment
+are allowed.
+
+\subsubsection{Logical Variables}
+\index{Variable!Logical}
+\index{Logical!Variable}
+\begin{example}
+BOOL variable-name=logical-expression;
+\end{example}
+This statement creates a new global variable \texttt{variable-name}
+and discards any old variable with the same name.
+Its value depends on all quantities occurring
+in {logical-expression} \seesec{alogical}.
+Whenever an operand changes in \texttt{logical-expression},
+a new value is calculated.
+The definition may be thought of as a mathematical equation.
+However, \opal is not able to solve the equation for a quantity on the
+right-hand side.
+
+\noindent Example:
+\begin{example}
+BOOL FLAG = X != 0;
+\end{example}
+Circular definitions are not allowed, but redefinitions by assignment
+are allowed.
+
+\subsection{Symbolic Constants}
+\label{sec:constant}
+\index{Constants!Real}
+\index{Real!Constant}
+\opal recognizes a few build-in built-in mathematical and physical
+constants \seetab{constant}.
+Additional constants can be defined by the command
+\begin{example}
+REAL CONST label:CONSTANT=<real-expression>;
+\end{example}
+which defines a constant with the name \texttt{label}.
+The keyword \keyword{REAL} is optional, and \texttt{label} must be unique.
+An existing symbolic constant can never be redefined.
+The \texttt{real-expression} is evaluated at the time the
+\keyword{CONST} definition is read, and the result is stored as the
+value of the constant.
+
+\noindent Example:
+\begin{example}
+CONST IN=0.0254; // conversion of inches to meters
+\end{example}
+
+\subsection{Vector Values}
+\label{sec:vector}
+\index{Vector!Real}
+\index{Real!Vector}
+A vector of expressions is established by a statement
+\begin{example}
+REAL VECTOR vector-name=vector-expression;
+\end{example}
+The keyword \keyword{REAL} is optional.
+It creates a new global vector \texttt{vector-name}
+and discards any old vector with the same name.
+Its value depends on all quantities occurring in
+{vector-expression} \seesec{anarray}.
+Whenever an operand changes in \texttt{vector-expression},
+a new value is calculated.
+The definition may be thought of as a mathematical equation.
+However, \opal is not able to solve the equation for a quantity on the
+right-hand side.
+
+\noindent Example:
+\begin{example}
+VECTOR A_AMPL={2.5e-3,3.4e-2,0,4.5e-8};
+VECTOR A_ON=TABLE(10,1);
+\end{example}
+Circular definitions are not allowed.
+
+\subsection{Assignment to Variables}
+\label{sec:eval}
+\index{Variable!Assignment}
+\index{Assignment}
+A value is assigned to a variable or vector by using the function
+\keyword{EVAL(real- expression)}.
+When seen, this function is immediately evaluated and replaced by the
+result treated like a constant.
+\begin{example}
+variable-name=EVAL(real-expression);
+\end{example}
+This statement acts like a FORTRAN or C assignment.
+The \texttt{real-expression} or \texttt{vector-expression} is
+\textbf{evaluated},
+and the result is assigned as a constant to the variable or vector on
+the left-hand side.
+Finally the expression is discarded.
+The \keyword{EVAL} function can also be used within an expression, e.~g.:
+\begin{example}
+vector-name=TABLE(range,EVAL(real-expression));
+vector-name={...,EVAL(real-expression),...);
+\end{example}
+A sequence like the following is permitted:
+\begin{example}
+... // some definitions
+X=0; // create variable X with value
+ // zero
+WHILE (X <= 0.10) {
+ TWISS,LINE=...; // uses X=0, 0.01, ..., 0.10
+ X=EVAL(X+.01); // increment variable X by 0.01
+ // CANNOT use: X=X+.01;
+}
+\end{example}
+
+\subsection{VALUE: Output of Expressions}
+\label{sec:value}
+\index{Variable!Value}
+\index{Value of Variable}
+The statement
+\begin{example}
+VALUE,VALUE=expression-vector;
+\end{example}
+\index{VALUE}
+evaluates a set of expressions using the most recent values of
+any operands and prints the results on the standard error file.
+
+\noindent Example:
+\begin{example}
+A=4;
+VALUE,VALUE=TABLE(5,#*A);
+P1=5;
+P2=7;
+VALUE,VALUE={P1,P2,P1*P2-3};
+\end{example}
+These commands give the results:
+\begin{example}
+value: {0*A,1*A,2*A,3*A,4*A} = {0,4,8,12,16}
+value: {P1,P2,P1*P2-3} = {5,7,32}
+\end{example}
+This commands serves mainly for printing one or more quantities
+which depend on matched attributes.
+It also allows use of \opal as a programmable calculator.
+One may also tabulate functions.
+
+
+\section{Miscellaneous Commands}
+
+\subsection{ECHO Statement}
+\label{sec:echo}
+\index{Echo of Commands}
+\index{ECHO}
+The \keyword{ECHO} statement has two formats:
+\begin{example}
+ECHO,MESSAGE=message;
+ECHO,message; // shortcut
+\end{example}
+\texttt{message} is a string value \seesec{astring}.
+It is immediately transmitted to the \keyword{ECHO} stream.
+
+\subsection{SYSTEM: Execute System Command}
+\label{sec:system}
+\index{System Command}
+\index{SYSTEM}
+During an interactive \opal session the command \keyword{SYSTEM}
+allows to execute operating system commands.
+After execution of the system command, successful or not,
+control returns to \opal.
+At present this command is only available under UNIX-like OSes (including Linux and macOS).
+It has two formats:
+\begin{example}
+SYSTEM,CMD=string;
+SYSTEM,string; // shortcut
+\end{example}
+The string \seesec{astring} \texttt{string} must be a valid operating
+system command.
+
+\subsection{SYSTEM Command under UNIX}
+Most UNIX commands can be issued directly.
+
+\noindent Example:
+\begin{example}
+SYSTEM,"ls -l"
+\end{example}
+causes a listing of the current directory in long form on the terminal.
+
+\section{TITLE Statement}
+\label{sec:title}
+\index{Page Title}
+\index{TITLE}
+The \keyword{TITLE} statement has three formats:
+\begin{example}
+TITLE,STRING=page-header; // define new page header
+TITLE,page-header; // shortcut for first format
+TITLE,STRING=""; // clear page header
+\end{example}
+\texttt{page-header} is a string value \seesec{astring}.
+It defines the page header which will be used as a title for
+subsequent output pages.
+Before the first \keyword{TITLE} statement is encountered,
+the page header is empty.
+It can be redefined at any time.
+
+\section{File Handling}
+
+\subsection{CALL Statement}
+\label{sec:call}
+\index{CALL}
+The \keyword{CALL} command has two formats:
+\begin{example}
+CALL,FILE=file-name;
+CALL,file-name;
+\end{example}
+\texttt{file-name} is a string \seesec{astring}.
+The statement causes the input to switch to the named file.
+Input continues on that file until a \keyword{STOP} or an end of file
+is encountered.
+\noindent Example:
+\begin{example}
+CALL,FILE="structure";
+CALL,"structure";
+\end{example}
+
+\subsection{SAVE Statement}
+\label{sec:save}
+\index{SAVE}
+The \keyword{SAVE} command has two formats:
+\begin{example}
+SAVE,FILE=file-name
+\end{example}
+\texttt{file-name} is a string \seesec{astring}.
+The command causes all beam element, beam line, and parameter definitions
+to be written on the named file.
+
+\noindent Examples:
+\begin{example}
+SAVE,FILE="structure";
+SAVE,"structure";
+\end{example}
+
+\ifthenelse{\boolean{ShowMap}}{
+\subsection{MAKESEQ Statement}
+\label{sec:makeseq}
+\index{MAKESEQ}
+A file containing a machine sequence can be generated in \opal by the
+command
+\begin{example}
+MAKESEQ,LINE=string,NAME=string,FILE=string;
+\end{example}
+
+Please note this is not yet supported for \opalt and \opalcycl.
+
+
+The named beam line \seesec{line} or sequence \seesec{sequence} is
+written as a flat \keyword{SEQUENCE} \seesec{sequence} with the given
+name on the named file.
+
+All required elements and parameters are also written.
+All expressions are evaluated and only their values appear in the
+output.
+The command has the following attributes:
+\begin{kdescription}
+\item[LINE]
+ The line for which a flat sequence is to be written.
+\item[NAME]
+ The name to be given to the sequence written.
+\item[FILE]
+ The name of the file to receive the output.
+\end{kdescription}
+}{}
+
+\section{IF: Conditional Execution}
+\label{sec:if}
+\index{IF}
+Conditional execution can be requested by an \texttt{IF} statement.
+It allows usages similar to the C language \texttt{if} statement:
+\begin{example}
+IF (logical) statement;
+IF (logical) statement; ELSE statement;
+IF (logical) { statement-group; }
+IF (logical) { statement-group; }
+ ELSE { statement-group; }
+\end{example}
+Note that all statements must be terminated with semicolons (\texttt{;}),
+but there is no semicolon after a closing brace.
+The statement or group of statements following the \texttt{IF} is
+executed if the condition is satisfied.
+If the condition is false, and there is an \keyword{ELSE},
+the statement or group following the \keyword{ELSE} is executed.
+
+\section{WHILE: Repeated Execution}
+\label{sec:while}
+\index{WHILE}
+Repeated execution can be requested by a \keyword{WHILE} statement.
+It allows usages similar to the C language \texttt{while} statement:
+\begin{example}
+WHILE (logical) statement;
+WHILE (logical) { statement-group; }
+\end{example}
+Note that all statements must be terminated with semicolons (\texttt{;}),
+but there is no semicolon after a closing brace.
+The condition is re-evaluated in each iteration.
+The statement or group of statements following the \keyword{WHILE} is
+repeated as long as the condition is satisfied.
+Of course some variable(s) must be changed within the \keyword{WHILE} group
+to allow the loop to terminate.
+
+\section{MACRO: Macro Statements (Subroutines)}
+\label{sec:macro}
+\index{MACRO}
+Subroutine-like commands can be defined by a \keyword{MACRO} statement.
+It allows usages similar to C language function call statements.
+A macro is defined by one of the following statements:
+\begin{example}
+name(formals): MACRO { token-list }
+name(): MACRO { token-list }
+\end{example}
+A macro may have formal arguments, which will be replaced by actual arguments
+at execution time. An empty formals list is denoted by \texttt{()}.
+Otherwise the \texttt{formals} consist of one or more names,
+separated by commas.
+The \texttt{token-list} consists of input tokens
+(strings, names, numbers, delimiters etc.)
+and is stored unchanged in the definition.
+
+A macro is executed by one of the statements:
+\begin{example}
+name(actuals);
+name();
+\end{example}
+Each actual consists of a set of tokens which replaces all occurrences of
+the corresponding formal name.
+The actuals are separated by commas.
+\noindent Example:
+\begin{example}
+// macro definitions:
+SHOWIT(X): MACRO {
+ SHOW, NAME = X;
+}
+DOIT(): MACRO {
+ DYNAMIC,LINE=RING,FILE="DYNAMIC.OUT";
+}
+
+// macro calls:
+SHOWIT(PI);
+DOIT();
+\end{example}
+
+\index{Control Statements|)}
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/conventions.tex b/doc/user_guide/conventions.tex
new file mode 100755
index 0000000000000000000000000000000000000000..93c3a8e46c76551f5750c33f27bc60e113b0eed1
--- /dev/null
+++ b/doc/user_guide/conventions.tex
@@ -0,0 +1,86 @@
+\input{header}
+
+\chapter{Conventions}\label{chp:conventions}
+\index{Conventions|(}
+
+
+\section{Physical Units}
+\label{sec:units}
+\index{Units}
+\index{Physical Units}
+Throughout the computations \opal uses international units \seetab{units},
+as defined by SI (Syst\`eme International).
+\begin{table}[ht] \footnotesize
+ \begin{center}
+ \caption{Physical Units}
+ \label{tab:units}
+ \begin{tabular}{|l|l|}
+ \hline
+ \tabhead{Quantity & Dimension}
+ \hline
+ Length & \si{\meter} (meters) \\
+ Angle & \si{\radian} (radians) \\
+ Quadrupole coefficient & \si{\tesla\per\meter} \\
+ Multipole coefficient, 2n poles & \si{\tesla\meter\tothe{-n + 1}} \\
+ Electric voltage & \si{\mega\volt} (Megavolts) \\
+ Electric field strength & \si{\mega\volt\per\meter} \\
+ Frequency & \si{\mega\hertz} (Megahertz) \\
+ Particle energy & \si{\mega\electronvolt} or \si{\electronvolt}\\
+ Particle mass & \si{\mega\electronvolt\per\square\clight} \\
+ Particle momentum & $\mathrm{\beta\gamma}$ or \si{\electronvolt} \\
+ Beam current & \si{\ampere} (Amperes) \\
+ Particle charge & \si{\elementarycharge} (elementary charges) \\
+ Impedances & \si{\mega\ohm} (Megaohms) \\
+ Emittances (normalized and geometric & \si{\meter\radian} \\
+ RF power & \si{\mega\watt} (Megawatts) \\
+% Higher mode loss factor & V/pc \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+\subsection{\opal-cycl}
+The \opal-cycl\ flavor \seesec{cyclotron} is using the so called Cyclotron units. Lengths are define in (mm) frequencies in (MHz) momenta in ($\beta\gamma$) and
+angles in (deg), except \keyword{RFPHI} which is in (rad).
+\index{Conventions|)}
+
+\section{Symbols used}
+\index{Symbols}
+\begin{table}[h] \footnotesize
+%\caption{List of Symbols used and their definition.}
+\label{tab:cparams}
+\begin{tabularx}{\textwidth-1cm}{|c@{\hspace{1.5cm}}|X|}
+\hline
+\tabhead{Symbol & Definition}
+\hline
+ $X$ & Ellipse axis along the $x$ dimension [m]. $X=R$ for circular beams. \\
+ $Y$ & Ellipse axis along the $y$ dimension [m]. $Y=R$ for circular beams. \\
+ $R$ & Beam radius for circular beam [m]. \\
+ $R^*$ & Effective beam radius for elliptical beam: $R^* = (X+Y)/2$ [m]. \\
+ $\sigma_x$ & Rms beam size in $x$: $\sigma_x = \langle x^2\rangle^{1/2}$ [m].
+ $\sigma_x = X/2$ for elliptical or circular beams (X=Y=R). \\
+ $\sigma_y$ & Rms beam size in $y$: $\sigma_y = \langle y^2\rangle^{1/2}$ [m].
+ $\sigma_y = Y/2$ for elliptical or circular beams (X=Y=R). \\
+ $\sigma_i$ & Rms beam size in $x$ (i=1) or $y$ (i=2):
+ $\sigma=\langle x^2\rangle^{1/2}$ or $\langle y^2\rangle^{1/2}$ [m]. \\
+ $\sigma_L$ & Rms beam size in the Larmor frame for cylindrical symmetric
+ beam and external fields [m]: $\sigma_L = \sigma_x = \sigma_y$. \\
+ $\sigma_r$ & Rms beam size in $r$ for a circular beam: $\sigma_r =\langle r^2\rangle^{1/2} = R/\sqrt{2}$ [m]. \\
+ $\sigma^*$ & Average rms size for elliptical beam: $\sigma^* = (\sigma_x+\sigma_y)/2$ [m]. \\
+ $\theta_r$ & Larmor angle [rad] \\
+ $\dot\theta_r$ & Time derivative of Larmor angle: $\dot\theta_r = -eB_z/2m\gamma$ [rad/sec]. \\
+ $z_s$ & Longitudinal position of a particular beam slice [m]. \\
+ $z_h,z_t$ & Position of the head \& tail of a beam bunch [m]. \\
+ $\zeta$ & Used to label the position of a beam slice in the beam [m]. For bunched beams: $\zeta = z_s-z_t$. \\
+ $\xi$ & Used to label the position of a slice image charge [m]. For bunched beams: $\xi = z_h + z_t$. \\
+ $K$ & Focusing function of cylindrical symmetric external fields: $K = -\diffp{F_r}{r}$ [N/m]. \\
+ $K_i$ & Focusing function in $x_i$ direction: $K_i = -\diffp[]{F_{x_i}}{x_i}$ [N/m]. \\
+ $I_0$ & Alfven current: $I_0= e/4\pi\epsilon_0mc^3$ [A]. \\
+ $I$ & Beam current [A]. \\
+ $I(\zeta)$ & Slice beam current [A]. \\
+ $k_p$ & Beam perveance: $k_p = I(\zeta)/2I_0$ \\
+ $g(\zeta)$ & Form factor used in slice analysis of bunched beams. \\
+\hline
+\end{tabularx}
+\end{table}
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/dingbat.sty b/doc/user_guide/dingbat.sty
new file mode 100644
index 0000000000000000000000000000000000000000..9ac9f494c1816b0de349e78b203e3b0a8d175706
--- /dev/null
+++ b/doc/user_guide/dingbat.sty
@@ -0,0 +1,50 @@
+%%
+%% This is file `dingbat.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% dingbat.dtx (with options: `package')
+%%
+%% This is a generated file.
+%%
+%% Copyright (C) 2001 Scott Pakin <pakin@uiuc.edu>
+%% -------------------------------------------------------
+%%
+%% This package may be distributed and/or modified under the
+%% conditions of the LaTeX Project Public License, either version 1.2
+%% of this license or (at your option) any later version.
+%% The latest version of this license is in
+%% http://www.latex-project.org/lppl.txt
+%% and version 1.2 or later is part of all distributions of LaTeX
+%% version 1999/12/01 or later.
+%%
+%% File: dingbat.dtx Copyright (C) 2001 Scott Pakin <pakin@uiuc.edu>
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{dingbat}
+ [2001/04/27 v1.00 Hands and other dingbats]
+\newcommand{\arkfamily}{\fontencoding{U}\fontfamily{ark}\selectfont}
+\newcommand{\ark@sym}[1]{{\arkfamily\symbol{#1}}}
+\newcommand{\carriagereturn}{\ark@sym{'103}}
+\newcommand{\leftthumbsdown}{\ark@sym{'104}}
+\newcommand{\eye}{\ark@sym{'105}}
+\newcommand{\rightpointleft}{\ark@sym{'114}}
+\newcommand{\smallpencil}{\ark@sym{'120}}
+\newcommand{\leftpointright}{\ark@sym{'122}}
+\newcommand{\leftthumbsup}{\ark@sym{'125}}
+\newcommand{\largepencil}{\ark@sym{'127}}
+\newcommand{\rightthumbsdown}{\ark@sym{'144}}
+\newcommand{\rightthumbsup}{\ark@sym{'165}}
+\newcommand{\dingbatfamily}{\fontencoding{U}\fontfamily{dingbat}\selectfont}
+\newcommand{\dingbat@sym}[1]{{\dingbatfamily\symbol{#1}}}
+\newcommand{\checkmark}{\dingbat@sym{'104}}
+\newcommand{\satellitedish}{\dingbat@sym{'111}}
+\newcommand{\rightpointright}{\dingbat@sym{'116}}
+\newcommand{\anchor}{\dingbat@sym{'117}}
+\newcommand{\squarewithdots}{\dingbat@sym{'102}}
+\newcommand{\filledsquarewithdots}{\dingbat@sym{'103}}
+\newcommand{\Sborder}{\dingbat@sym{'123}}
+\newcommand{\Zborder}{\dingbat@sym{'132}}
+\endinput
+%%
+%% End of file `dingbat.sty'.
diff --git a/doc/user_guide/distribution.tex b/doc/user_guide/distribution.tex
new file mode 100644
index 0000000000000000000000000000000000000000..8e15e916b66692b076aa1ec9eef810ec7408ebee
--- /dev/null
+++ b/doc/user_guide/distribution.tex
@@ -0,0 +1,1156 @@
+%% NOT DOCUMENTED YET:
+%% MX, MY, MT, EX, EY, ET, E2, RESIDUUM, MAXSTEPSCO, MAXSTEPSSI, ORDERMAPS,
+%% MAGSYM, CORRT, R, FLIPX, FLIPY, ROTATE90, ROTATE180, ROTATE270, NPDARKCUR,
+%% INWARDMARGIN, EINITHR, FNA, FNB, FNY, FNVYZERO, FNYSECOND, FNPHIW, FNBETA,
+%% FNFIELDTHR, FNMAXEMI, SECONDARYFLAG, NEMISSIONMODE, VSEYZERO, VEZERO,
+%% VSEYMAX, VEMAX, VKENERGY, VKTHETA, VVTHERMAL, VW, SURFMATERIAL
+
+\input{header}
+
+\chapter{Distribution Command}
+\label{chp:distribution}
+\index{Distribution Command|(}
+
+\begin{table}[!htb]
+ \begin{center}\footnotesize
+ \caption{Possible distribution types. Note that the \keyword{SURFACEEMISSION} and \keyword{SURFACERANDCREATE}
+ distribution types will not be discussed in this chapter. Instead, refer to
+ \chpref{femiss} on field emission for using these types.}
+ \label{tab:disttypes}
+ \begin{tabularx}{\textwidth-1cm}{|l|X|}
+ \hline
+ \tabhead{Distribution Type & Description}
+ \hline
+ \tabline[sec:fromfiledisttype]{FROMFILE}{Initial distribution read in from text file provided by user
+ \seesec{fromfiledisttype}.}
+ %\hline
+ \tabline[sec:gaussdisttype]{GAUSS}{Initial distribution generated using Gaussian distribution(s)
+ \seesec{gaussdisttype}.}
+ %\hline
+ \tabline[sec:flattopdisttype]{FLATTOP}{Initial distribution generated using flattop distribution(s)
+ \seesec{flattopdisttype}.}
+ %\hline
+ \tabline[sec:binomialdisttype]{BINOMIAL}{Initial distribution generated using binomial distribution(s)
+ \seesec{binomialdisttype}.}
+ %\hline
+ \tabline[chp:femiss]{SURFACEEMISSION}{For dark current and multipacting simulations. This type of distribution will not be covered in this chapter, see instead \chpref{femiss}. }
+ %\hline
+ \tabline[chp:femiss]{SURFACERANDCREATE}{For dark current and multipacting simulations. This type of distribution will not be covered in this chapter, see instead \chpref{femiss}. }
+ %\hline
+ \tabline[sec:gungaussflattopthdisttype]{GUNGAUSSFLATTOPTH}{Legacy. Special case of \keyword{FLATTOP} distribution \seesec{gungaussflattopthdisttype}.}
+ %\hline
+ \tabline[sec:astraflattopthdisttype]{ASTRAFLATTOPTH}{Legacy. Special case of \keyword{FLATTOP} distribution \seesec{astraflattopthdisttype}.}
+ \hline
+ \end{tabularx}
+ \end{center}
+\end{table}
+
+The distribution command is used to introduce particles into an \opal simulation. Like other \opal
+commands \seechp{format}, the distribution command is of the form:
+
+\begin{example}
+Name:DISTRIBUTION, DISTRIBUTION = TYPE,
+ ATTRIBUTE #1 =,
+ ATTRIBUTE #2 =,
+ .
+ .
+ .
+ ATTRIBUTE #N =;
+\end{example}
+The distribution is given a name (which is used to reference the distribution in the \opal input
+file), a distribution type, and a list of attributes. The types of distributions that are supported
+are listed in \tabref{disttypes}. The attributes that follow the distribution type further
+define the particle distribution. Some attributes are universal, while others are specific to the
+distribution type. In the following sections we will define the distribution attributes, starting
+with the general, or universal attributes. (Note that, in general, if a distribution type does not
+support a particular attribute, defining a value for it does no harm. That attribute just gets ignored.)
+
+\section{Units}
+\label{sec:unitsdistattributes}
+\index{Distribution!Units}
+\FloatBarrier
+
+The internal units used by \opalt and \opalcycl are described in \secref{variablesopalt,variablesopalcycl}.
+When defining a distribution, both \opalt and \opalcycl use meters for
+length and seconds for time. However, there are different options for the units used to input the
+momentum. This is controlled with the \keyword{INPUTMOUNITS} attribute, defined in
+\tabref{distattrinputmounits}.
+
+\begin{table}[!htb]
+ \begin{center}\footnotesize
+ \caption{Definition of \keyword{INPUTMOUNITS} attribute.}
+ \label{tab:distattrinputmounits}
+ \begin{tabularx}{\textwidth-1cm}{|l|c|X|}
+ \hline
+ \tabhead{Attribute Name & Value & Description}
+ \hline
+ \tabline[sec:variablesopalt]{INPUTMOUNITS}{\keyword{NONE} (default for \opalt) & Use no units for the input momentum (e.g. $p_{x}$, $p_{y}$, $p_{z}$). Momentum is given as $\beta_{x} \gamma$, $\beta_{y} \gamma$ and $\beta_{z} \gamma$, as in \secref{variablesopalt}.}
+ \tabline{INPUTMOUNITS}{\index{INPUTMOUNITS} \keyword{EV} (default for \opalcycl) & Use the units \si{\electronvolt} for the input momentum (e.g. $p_{x}$, $p_{y}$, $p_{z}$).}
+ \hline
+ \end{tabularx}
+ \end{center}
+\end{table}
+
+\section{General Distribution Attributes}
+\label{sec:gendistattributes}
+\index{Distribution!General Attributes}
+\FloatBarrier
+
+Once the distribution type is chosen, the next attribute to specify is the \keyword{EMITTED}
+attribute, which is defined in \tabref{distattremitted}. The \keyword{EMITTED} attribute
+controls whether a distribution is \emph{injected} or \emph{emitted}. An \emph{injected} distribution
+is placed in its entirety into the simulation space at the start of the simulation. An
+\emph{emitted} beam is emitted into the simulation over time as the simulation progresses (e.g.
+from a cathode in a photoinjector simulation). Currently, only \opalt supports \emph{emitted}
+distributions. The default is an \emph{injected} distribution.
+
+\begin{table}[!htb]
+ \begin{center}\footnotesize
+ \caption{Definition of \keyword{EMITTED} attribute.}
+ \label{tab:distattremitted}
+ \begin{tabularx}{\textwidth-1cm}{|l|c|X|}
+ \hline
+ \tabhead{Attribute Name & Value & Description }
+ \hline
+ \tabline{EMITTED}{\index{EMITTED} \keyword{FALSE} (default) & The distribution is injected into the simulation in its entirety
+ at the start of the simulation. The particle coordinates for an injected distribution are defined as in
+ \secref{variablesopalt,variablesopalcycl}. Note that in \opalt the entire distribution will automatically
+ be shifted to ensure that the $z$ coordinate will be greater than zero for all particles.}
+ %\hline
+ \tabline[sec:variablesopalt]{EMITTED}{\keyword{TRUE} & The distribution is emitted into the simulation over time as the simulation
+ progresses. Currently only \opalt supports this type of distribution. In this case, the longitudinal coordinate, as
+ defined by \secref{variablesopalt}, is given in seconds instead of meters. Early times are emitted first.}
+ \hline
+ \end{tabularx}
+ \end{center}
+\end{table}
+
+Depending on the \keyword{EMITTED} attribute, we can specify several other attributes that do not depend on the
+distribution type. These are defined in \secref{universaldistattributes,injecteddistattributes,emitteddistattributes} in
+\tabref{distattruniversal,distattrinjected,distattrsemitted}.
+\clearpage
+\subsection{Universal Attributes}
+\label{sec:universaldistattributes}
+\index{Distribution!Universal Attributes}
+\begin{table}[!htb]
+ \begin{center}\footnotesize
+ \caption{Definition of universal distribution attributes. Any distribution type can use these
+ and they are the same whether the beam is \emph{injected} or \emph{emitted}.}
+ \label{tab:distattruniversal}
+ \begin{tabularx}{\textwidth-1cm}{|l|c|c|X|}
+ \hline
+ \tabhead{Attribute Name & Default Value & Units & Description }
+ \hline
+ \tabline{WRITETOFILE}{\index{WRITETOFILE} \keyword{FALSE} & None & Echo initial distribution to text file \filename{data/distribution.data}.}
+ %\hline
+ \tabline[sec:distlist]{WEIGHT}{\num{1.0} & None & Weight of distribution when used in a distribution list \seesec{distlist}.}
+ %\hline
+ \tabline[sec:FSENBINS]{NBIN}{\num{0} & None & The distribution (beam) will be broken up into \keyword{NBIN} energy bins.
+ This has consequences for the space charge solver \seesec{FSENBINS}.}
+ %\hline
+ \tabline{XMULT}{\index{XMULT} \num{1.0} & None & Value used to scale the $x$ positions of the distribution
+ particles. Applied after the distribution is generated (or read in).}
+ %\hline
+ \tabline{YMULT}{\index{YMULT} \num{1.0} & None & Value used to scale the $y$ positions of the distribution
+ particles. Applied after the distribution is generated (or read in).}
+ %\hline
+ \tabline{PXMULT}{\index{PXMULT} \num{1.0} & None & Value used to scale the x momentum, $p_{x}$, of the
+ distribution particles. Applied after the distribution is generated (or read in).}
+ %\hline
+ \tabline{PYMULT}{\index{PYMULT} \num{1.0} & None & Value used to scale the y momentum, $p_{y}$, of the
+ distribution particles. Applied after the distribution is generated (or read in).}
+ %\hline
+ \tabline{PZMULT}{\index{PZMULT} \num{1.0} & None & Value use to scale the z momentum, $p_{z}$, of the
+ distribution particles. Applied after the distribution is generated (or read in).}
+ %\hline
+ \tabline{OFFSETX}{\index{OFFSETX} \num{0.0} & \si{\meter} & Distribution is shifted in $x$ by this amount after the distribution
+ is generated (or read in). Same as the average $x$ position, $\bar{x}$.}
+ %\hline
+ \tabline{OFFSETY}{\index{OFFSETY} \num{0.0} & \si{\meter} & Distribution is shifted in $y$ by this amount after the distribution
+ is generated (or read in). Same as the average $y$ position, $\bar{y}$.}
+ %\hline
+ \tabline{OFFSETPX}{\index{OFFSETPX} \num{0.0} & \secref{unitsdistattributes} &
+ Distribution is shifted in $p_{x}$ by this amount after the distribution is generated (or read in). Same as the
+ average $p_{x}$ value, $\bar{p}_{x}$.}
+ %\hline
+ \tabline{OFFSETPY}{\index{OFFSETPY} \num{0.0} & \secref{unitsdistattributes} &
+ Distribution is shifted in $p_{y}$ by this amount after the distribution is generated (or read in). Same as the
+ average $p_{y}$ value, $\bar{p}_{y}$.}
+ %\hline
+ \tabline{OFFSETPZ}{\index{OFFSETPZ} \num{0.0} & \secref{unitsdistattributes} &
+ Distribution is shifted in $p_{z}$ by this amount after the distribution is generated (or read in). Same as the
+ average $p_{z}$ value, $\bar{p}_{z}$.}
+ \hline
+ \end{tabularx}
+ \end{center}
+\end{table}
+
+\subsection{Injected Distribution Attributes}
+\label{sec:injecteddistattributes}
+\index{Distribution!Injected Beam}
+\begin{table}[!htb]
+ \begin{center}\footnotesize
+ \caption{Definition of distribution attributes that only affect \emph{injected} beams.}
+ \label{tab:distattrinjected}
+ \begin{tabularx}{\textwidth-1cm}{|l|c|c|X|}
+ \hline
+ \tabhead{Attribute Name & Default Value & Units & Description }
+ \hline
+ \tabline{ZMULT}{\index{ZMULT} \num{1.0} & None & Value used to scale the $z$ positions of the distribution
+ particles. Applied after the distribution is generated (or read in).}
+ %\hline
+ \tabline{OFFSETZ}{\index{OFFSETZ} \num{0.0} & \si{\meter} & Distribution is shifted in $z$ by this amount relative to the reference particle. Same as the average $z$ position, $\bar{z}$.}
+ \hline
+ \end{tabularx}
+ \end{center}
+\end{table}
+
+\subsection{Emitted Distribution Attributes}
+\label{sec:emitteddistattributes}
+\index{Distribution!Emitted Beam}
+\begin{table}[!htb]
+ \begin{center}\footnotesize
+ \caption{Definition of distribution attributes that only affect \emph{emitted} beams.}
+ \label{tab:distattrsemitted}
+ \begin{tabularx}{\textwidth-1cm}{|l|c|c|X|}
+ \hline
+ \tabhead{Attribute Name & Default Value & Units & Description }
+ \hline
+ \tabline{TMULT}{\index{TMULT} \num{1.0} & None & Value used to scale the $t$ values of the distribution
+ particles. Applied after the distribution is generated (or read in).}
+ %\hline
+ \tabline{OFFSETT}{\index{OFFSETT} \num{0.0} & \si{\second} & Distribution is emitted later by this amount relative to the reference particle.}
+ %\hline
+ \tabline{EMISSIONSTEPS}{\index{EMISSIONSTEPS} \num{1} & None & Number of time steps to take during emission. The simulation time step
+ will be adjusted during emission to ensure that this many time steps will be
+ required to emit the entire distribution.}
+ %\hline
+ \tabline{EMISSIONMODEL}{\index{EMISSIONMODEL} None & None & Emission model to use when emitting particles from cathode
+ \seesec{emissionmodel}.}
+ \hline
+ \end{tabularx}
+ \end{center}
+\end{table}
+
+\section{\keyword{FROMFILE} Distribution Type}
+\label{sec:fromfiledisttype}
+\index{Distribution!FROMFILE}
+\FloatBarrier
+
+The most versatile distribution type is to use a user generated text file as input to \opal. This
+allows the user to generate their own distribution, if the built in options in \opal are insufficient,
+and have it either \emph{injected} or \emph{emitted} into the simulation. In \tabref{distattrfromfile}
+we list the single attribute specific to this type of distribution type.
+
+\begin{table}[!htb]
+ \begin{center}\footnotesize
+ \caption{Definition of distribution attributes for a \keyword{FROMFILE} distribution type.}
+ \label{tab:distattrfromfile}
+ \begin{tabularx}{\textwidth-1cm}{|l|c|c|X|}
+ \hline
+ \tabhead{Attribute Name & Default Value & Units & Description }
+ \hline
+ \tabline{FNAME}{\index{FNAME} None & None & File name for text file containing distribution particle coordinates.}
+ \hline
+ \end{tabularx}
+ \end{center}
+\end{table}
+
+An example of an \emph{injected} \keyword{FROMFILE} distribution definition is:
+
+\begin{example}
+Name:DISTRIBUTION, DISTRIBUTION = FROMFILE,
+ FNAME = ``text file name'';
+\end{example}
+an example of an \emph{emitted} \keyword{FROMFILE} distribution definition is:
+
+\begin{example}
+Name:DISTRIBUTION, DISTRIBUTION = FROMFILE,
+ FNAME = ``text file name'',
+ EMITTED = TRUE,
+ EMISSIONMODEL = None;
+\end{example}
+
+The text input file for the \keyword{FROMFILE} distribution type has slightly a slightly different
+format, depending on whether the distribution is to be \emph{injected} or \emph{emitted}. The
+\emph{injected} file format is defined in \tabref{fromfileinjfileformat}. The \emph{emitted}
+file format is defined in \tabref{fromfileemitfileformat}.
+
+\begin{table}[!htb]
+ \begin{center}\footnotesize
+ \caption{File format for \emph{injected} \keyword{FROMFILE} distribution type. N is the number
+ of particles in the file. The particle coordinates are defined in \secref{variablesopalt,variablesopalcycl}.}
+ \label{tab:fromfileinjfileformat}
+ \begin{tabular}{llllll}
+ \hline
+ N & & & & & \\
+ $x_{1}$ & $p_{x1}$ & $y_{1}$ & $p_{y1}$ & $z_{1}$ & $p_{z1}$ \\
+ $x_{2}$ & $p_{x2}$ & $y_{2}$ & $p_{y2}$ & $z_{2}$ & $p_{z2}$ \\
+ . & & & & & \\
+ . & & & & & \\
+ $x_{N}$ & $p_{xN}$ & $y_{N}$ & $p_{yN}$ & $z_{N}$ & $p_{zN}$ \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\begin{table}[!htb]
+ \begin{center}\footnotesize
+ \caption{File format for \emph{emitted} \keyword{FROMFILE} distribution type. N is the number
+ of particles in the file. The particle coordinates are defined in \secref{variablesopalt}
+ except that $z$, in meters, is replaced by $t$ in seconds.}
+ \label{tab:fromfileemitfileformat}
+ \begin{tabular}{llllll}
+ \hline
+ N & & & & & \\
+ $x_{1}$ & $p_{x1}$ & $y_{1}$ & $p_{y1}$ & $t_{1}$ & $p_{z1}$ \\
+ $x_{2}$ & $p_{x2}$ & $y_{2}$ & $p_{y2}$ & $t_{2}$ & $p_{z2}$ \\
+ . & & & & & \\
+ . & & & & & \\
+ $x_{N}$ & $p_{xN}$ & $y_{N}$ & $p_{yN}$ & $t_{N}$ & $p_{zN}$ \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+Note that for an \emph{emitted} \keyword{FROMFILE} distribution, all of the particle's time, $t$, coordinates
+will be shifted to negative time (if they are not there already). The simulation clock will then start at $t = 0$
+and distribution particles will be emitted into the simulation as the simulation progresses. Also note that,
+as the particles are emitted, they will be modified according to the type of emission model used. This is defined
+by the attribute \keyword{EMISSIONMODEL}, which is described in \secref{emissionmodel}. A choice of
+\keyword{NONE} for the \keyword{EMISSIONMODEL} (which is the default) can be defined so as not to affect the
+distribution coordinates at all.
+
+
+To maintain consistency $N$ and \keyword{NPART} from the \keyword{BEAM} command in \chpref{beam} must be equal.
+
+\section{\keyword{GAUSS} Distribution Type}
+\label{sec:gaussdisttype}
+\index{Distribution!GAUSS|(}
+\FloatBarrier
+
+As the name implies, the \keyword{GAUSS} distribution type can generate distributions with a general
+Gaussian shape (here we show a one-dimensional example):
+
+\begin{equation*}
+ f(x) = \frac{1}{\sqrt{2 \pi}} e^{-\frac{(x - \bar{x})^{2}}{2 \sigma_{x}^{2}}}
+\end{equation*}
+where $\bar{x}$ is the average value of $x$. However, the \keyword{GAUSS} distribution can also be used to
+generate an emitted beam with a flat top time profile. We will go over the various options for the \keyword{GAUSS}
+distribution type in this section.
+
+\subsection{Simple \keyword{GAUSS} Distribution Type}
+We will begin by describing how to create a simple \keyword{GAUSS} distribution type. That is, a simple
+6-dimensional distribution with a Gaussian distribution in all dimensions.
+
+\begin{table}[!htb]
+ \begin{center}\footnotesize
+ \caption{Definition of the basic distribution attributes for a \keyword{GAUSS} distribution type.}
+ \label{tab:distattrgauss}
+ \begin{tabularx}{\textwidth-1cm}{|l|c|c|X|}
+ \hline
+ \tabhead{Attribute Name & Default Value & Units & Description }
+ \hline
+ \tabline{SIGMAX}{\index{SIGMAX} \num{0.0} & \si{\meter} & RMS width, $\sigma_{x}$, in transverse $x$ direction.}
+ %\hline
+ \tabline{SIGMAY}{\index{SIGMAY} \num{0.0} & \si{\meter} & RMS width, $\sigma_{y}$, in transverse $y$ direction.}
+ %\hline
+ \tabline{SIGMAR}{\index{SIGMAR} \num{0.0} & \si{\meter} & RMS radius, $\sigma_{r}$, in radial direction. If nonzero \keyword{SIGMAR} overrides
+ \keyword{SIGMAX} and \keyword{SIGMAY}.}
+ %\hline
+ \tabline{SIGMAZ}{\index{SIGMAZ} \num{0.0} & \si{\meter} & RMS length, $\sigma_{z}$, in longitudinal (z) direction. \keyword{SIGMAZ} is used
+ for an \emph{injected} distribution.}
+ %\hline
+ \tabline{SIGMAT}{\index{SIGMAT} \num{0.0} & \si{\second} & RMS width, $\sigma_{t}$, in time (t). \keyword{SIGMAT} is used for an \emph{emitted}
+ distribution.}
+ %\hline
+ \tabline{SIGMAPX}{\index{SIGMAPX} \num{0.0} & \secref{unitsdistattributes}& Parameter $\sigma_{px}$ for defining distribution. }
+ %\hline
+ \tabline{SIGMAPY}{\index{SIGMAPY} \num{0.0} & \secref{unitsdistattributes}& Parameter $\sigma_{py}$ for defining distribution. }
+ %\hline
+ \tabline{SIGMAPZ}{\index{SIGMAPZ} \num{0.0} & \secref{unitsdistattributes}& Parameter $\sigma_{pz}$ for defining distribution. }
+ %\hline
+ \tabline{CUTOFFX}{\index{CUTOFFX} \num{3.0} & None & Defines transverse distribution cutoff in the $x$ direction in units of
+ $\sigma_{x}$. If \keyword{CUTOFFX} $= 0$ then actual cutoff in $x$ is set to infinity.}
+ %\hline
+ \tabline{CUTOFFY}{\index{CUTOFFY} \num{3.0} & None & Defines transverse distribution cutoff in the $y$ direction in units of
+ $\sigma_{y}$. If \keyword{CUTOFFY} $= 0$ then actual cutoff in $y$ is set to infinity.}
+ %\hline
+ \tabline{CUTOFFR}{\index{CUTOFFR} \num{3.0} & None & Defines transverse distribution cutoff in the $r$ direction in units of
+ $\sigma_{r}$. If \keyword{CUTOFFR} $= 0$ then actual cutoff in $r$ is set to infinity. \keyword{CUTOFFR} is
+ only used if \keyword{SIGMAR} $>0$.}
+ %\hline
+ \tabline{CUTOFFLONG}{\index{CUTOFFLONG} \num{3.0} & None & Defines longitudinal distribution cutoff in the $z$ or $t$ direction
+ (\emph{injected} or \emph{emitted}) in units of $\sigma_{z}$ or $\sigma_{t}$. \keyword{CUTOFFLONG} is
+ different from other dimensions in that a value of \num{0.0} does not imply a cutoff value of infinity.}
+ %\hline
+ \tabline{CUTOFFPX}{\index{CUTOFFPX} \num{3.0} & None & Defines cutoff in $p_{x}$ dimension in units of $\sigma_{px}$.
+ If \keyword{CUTOFFPX} $= 0$ then actual cutoff in $p_{x}$ is set to infinity.}
+ %\hline
+ \tabline{CUTOFFPY}{\index{CUTOFFPY} \num{3.0} & None & Defines cutoff in $p_{y}$ dimension in units of $\sigma_{py}$.
+ If \keyword{CUTOFFPY} $= 0$ then actual cutoff in $p_{y}$ is set to infinity.}
+ %\hline
+ \tabline{CUTOFFPZ}{\index{CUTOFFPZ} \num{3.0} & None & Defines cutoff in $p_{z}$ dimension in units of $\sigma_{pz}$.
+ If \keyword{CUTOFFPZ} $= 0$ then actual cutoff is $p_{z}$ is set to infinity.}
+ \hline
+ \end{tabularx}
+ \end{center}
+\end{table}
+
+In \tabref{distattrgauss} we list the basic attributes available for a \keyword{GAUSS} distribution. We
+can use these to create a very simple \keyword{GAUSS} distribution:
+
+\begin{example}
+Name:DISTRIBUTION, DISTRIBUTION = GAUSS,
+ SIGMAX = 0.001,
+ SIGMAY = 0.003,
+ SIGMAZ = 0.002,
+ SIGMAPX = 0.0,
+ SIGMAPY = 0.0,
+ SIGMAPZ = 0.0,
+ CUTOFFX = 2.0,
+ CUTOFFY = 2.0,
+ CUTOFFLONG = 4.0,
+ OFFSETX = 0.001,
+ OFFSETY = -0.002,
+ OFFSETZ = 0.01,
+ OFFSETPZ = 1200.0
+ USEEV = TRUE;
+\end{example}
+This creates a Gaussian shaped distribution with zero transverse emittance, zero energy spread, $\sigma_{x} = \SI{1.0}{\milli\meter}$,
+$\sigma_{y} = \SI{3.0}{\milli\meter}$, $\sigma_{z} = \SI{2.0}{\milli\meter}$ and an average energy of:
+
+\begin{equation*}
+W = \SI{1.2}{\mega\electronvolt}
+\end{equation*}
+In the $x$ direction, the Gaussian distribution is cutoff at $x = 2.0 \times \sigma_{x} = \SI{2.0}{\milli\meter}$. In the $y$
+direction it is cutoff at $y = 2.0 \times \sigma_{y} = \SI{6.0}{\milli\meter}$. This distribution is \emph{injected} into the simulation
+at an average position of $(\bar{x},\bar{y},\bar{z})=(\SI{1.0}{\milli\meter}, \SI{-2.0}{\milli\meter}, \SI{10.0}{\milli\meter})$.
+
+
+
+\subsection{\keyword{GAUSS} Distribution for Photoinjector}
+\label{sec:gaussdisttypephotoinjector}
+
+\begin{table}[!htb]
+ \begin{center}\footnotesize
+ \caption{Definition of additional distribution attributes for an \emph{emitted} \keyword{GAUSS}
+ distribution type. These are used to generate a distribution with a time profile as illustrated
+ in \figref{flattop}.}
+ \label{tab:distattremittedgauss}
+ \begin{tabularx}{\textwidth-1cm}{|l|c|c|X|}
+ \hline
+ \tabhead{Attribute Name & Default Value & Units & Description }
+ \hline
+ \tabline{TPULSEFWHM}{\index{TPULSEFWHM} \num{0.0} & \si{\second} & Flat top time \seefig{flattop}. }
+ %\hline
+ \tabline{TRISE}{\index{TRISE} \num{0.0} & \si{\second} & Rise time \seefig{flattop}. If defined will override
+ \keyword{SIGMAT}.}
+ %\hline
+ \tabline{TFALL}{\index{TFALL} \num{0.0} & \si{\second} & Fall time \seefig{flattop}. If defined will override
+ \keyword{SIGMAT}.}
+ %\hline
+ \tabline{FTOSCAMPLITUDE}{\index{FTOSCAMPLITUDE} \num{0} & None & Sinusoidal oscillations can imposed on the flat top in \figref{flattop}.
+ This defines the amplitude of those oscillations in percent of the average flat top amplitude.}
+ %\hline
+ \tabline{FTOSCPERIODS}{\index{FTOSCPERIODS} \num{0} & None & Defines the number of oscillation periods imposed on the flat top,
+ $t_\mathrm{flattop}$, in \figref{flattop}.}
+ \hline
+ \end{tabularx}
+ \end{center}
+\end{table}
+
+\begin{figure}[h]
+ \begin{center}
+ \includegraphics[width=0.8\textwidth]{./figures/flattop.pdf}
+ \caption{\opal emitted \keyword{GAUSS} distribution with flat top.}
+ \label{fig:flattop}
+ \end{center}
+\end{figure}
+
+A useful feature of the \keyword{GAUSS} distribution type is the ability to mimic the initial distribution
+from a photoinjector. For this purpose we have the distribution attributes listed in \tabref{distattremittedgauss}.
+Using them, we can create a distribution with the time structure
+shown in \figref{flattop}. This is a half Gaussian rise plus a uniform flat-top plus a half Gaussian
+fall. To make it more convenient to mimic measured laser profiles, \keyword{TRISE} and \keyword{TFALL} from
+\tabref{distattremittedgauss} do not define RMS quantities, but instead are given by (See also \figref{flattop}):
+
+\begin{align*}
+ \keyword{TRISE} = t_{R} &= \left(\sqrt{2 \ln(10)} - \sqrt{2 \ln \left(\frac{10}{9} \right)} \right) \sigma_{R}\\
+ & = 1.6869 \sigma_{R} \\
+ \keyword{TFALL} = t_{F} &= \left(\sqrt{2 \ln(10)} - \sqrt{2 \ln \left(\frac{10}{9} \right)} \right) \sigma_{F}\\
+ & = 1.6869 \sigma_{F}
+\end{align*}
+where $\sigma_{R}$ and $\sigma_{F}$ are the Gaussian, RMS rise and fall times respectively. The flat-top portion
+of the profile, \keyword{TPULSEFWHM}, is defined as (See also \figref{flattop}):
+
+\begin{equation*}
+ \keyword{TPULSEFWHM} = \mathrm{FWHM}_{P} = t_\mathrm{flattop} + \sqrt{2 \ln 2} \left( \sigma_{R} + \sigma_{F} \right)
+\end{equation*}
+Total emission time, $t_{E}$, of this distribution, is a function of the longitudinal cutoff,
+\keyword{CUTOFFLONG} \seetab{distattrgauss}, and is given by:
+
+\begin{align*}
+ t_{E}(\keyword{CUTOFFLONG}) &= \mathrm{FWHM}_{P} - \frac{1}{2} (\mathrm{FWHM}_{R} + \mathrm{FWHM}_{F})
+ + \keyword{CUTOFFLONG} (\sigma_{R} + \sigma_{F}) \\
+ &= \mathrm{FWHM}_{P} + \frac{\keyword{CUTOFFLONG} - \sqrt{2 \ln 2}}{1.6869} (\keyword{TRISE} + \keyword{TFALL})
+\end{align*}
+
+Finally, we can also impose oscillations over the flat-top portion of the laser pulse in \figref{flattop},
+$t_\mathrm{flattop}$. This is defined by the attributes \keyword{FTOSCAMPLITUDE} and \keyword{FTOSCPERIODS} from
+\tabref{distattremittedgauss}. \keyword{FTOSCPERIODS} defines how many oscillation periods will be present
+during the $t_\mathrm{flattop}$ portion of the pulse. \keyword{FTOSCAMPLITUDE} defines the amplitude of those
+oscillations in percentage of the average profile amplitude during $t_\mathrm{flattop}$. So, for example, if we
+set $\texttt{FTOSCAMPLITUDE} = 5$, and the amplitude of the profile is equal to $1.0$ during $t_\mathrm{flattop}$,
+the amplitude of the oscillation will be $0.05$.
+
+\subsection{Correlations for \keyword{GAUSS} Distribution (Experimental)}
+
+\begin{table}[!htb]
+ \begin{center}\footnotesize
+ \caption{Definition of additional distribution attributes for a \keyword{GAUSS}
+ distribution type for generating correlations in the beam.}
+ \label{tab:distattrcorrgauss}
+ \begin{tabularx}{\textwidth-1cm}{|l|c|c|X|}
+ \hline
+ \tabhead{Attribute Name & Default Value & Units & Description }
+ \hline
+ \tabline{CORRX}{\index{CORRX} \num{0.0} & \secref{unitsdistattributes} & $x$, $p_x$ correlation.
+ ($R_{12}$ in transport notation.)}
+ %\hline
+ \tabline{CORRY}{\index{CORRY} \num{0.0} & \secref{unitsdistattributes} & $y$, $p_y$ correlation.
+ ($R_{34}$ in transport notation.)}
+ %\hline
+ \tabline{CORRZ}{\index{CORRZ} \num{0.0} & \secref{unitsdistattributes} & $z$, $p_z$ correlation.
+ ($R_{56}$ in transport notation.)}
+ %\hline
+ \tabline{R51}{\index{R51} \num{0.0} & \secref{unitsdistattributes} & $x$, $z$ correlation.
+ ($R_{51}$ in transport notation.)}
+ %\hline
+ \tabline{R52}{\index{R52} \num{0.0} & \secref{unitsdistattributes} & $p_x$, $z$ correlation.
+ ($R_{52}$ in transport notation.)}
+ %\hline
+ \tabline{R61}{\index{R61} \num{0.0} & \secref{unitsdistattributes} & $x$, $p_z$ correlation.
+ ($R_{61}$ in transport notation.)}
+ %\hline
+ \tabline{R62}{\index{R62} \num{0.0} & \secref{unitsdistattributes} & $p_x$, $p_z$ correlation.
+ ($R_{62}$ in transport notation.)}
+ \hline
+ \end{tabularx}
+ \end{center}
+\end{table}
+
+To generate Gaussian initial distribution with dispersion, first we generate the uncorrelated Gaussian inputs matrix
+$R=(R1,...,R_n)$. The mean of $R_i$ is $0$ and the standard deviation squared is 1. Then we correlate $R$.
+The correlation coefficient matrix $\sigma$ in $x$, $p_x$, $z$, $p_z$ phase space reads: \\
+
+\begin{equation*}
+\sigma= \left[
+\begin{array}{cccc}
+1 &c_x&r51 &r61\\
+c_x&1 &r52 &r62\\
+r51 &r52 &1 &c_t\\
+r61 &r62 &c_t &1\\
+\end{array}
+\right] \\
+\end{equation*}
+The Cholesky decomposition of the symmetric positive-definite matrix $\sigma$ is $\sigma=\transpose{C}C$, then the correlated
+distribution is $\transpose{C}R$.
+
+\textbf{Note}: Correlations work for the moment only with the Gaussian distribution and are experimental, so there are
+no guarantees as to its efficacy or accuracy. Also, these correlations will work, in principle, for an \emph{emitted} beam.
+However, recall that in this case, $z$ in meters is replaced by $t$ in seconds, so take care.
+
+As an example of defining a correlated beam, let the initial correlation coefficient matrix be:
+
+\begin{equation*}
+\sigma= \left[
+\begin{array}{cccc}
+1 &0.756 &0.023 &0.496\\
+0.756 &1 &0.385 &-0.042\\
+0.023 &0.385 &1 &-0.834\\
+0.496 &-0.042 &-0.834 &1\\
+\end{array}
+\right]
+\end{equation*}
+then the corresponding distribution command will read:
+
+\begin{example}
+Dist:DISTRIBUTION, DISTRIBUTION = GAUSS,
+ SIGMAX = 4.796e-03,
+ SIGMAPX = 231.0585,
+ CORRX = 0.756,
+ SIGMAY = 23.821e-03,
+ SIGMAPY = 1.6592e+03,
+ CORRY = -0.999,
+ SIGMAZ = 0.466e-02,
+ SIGMAPZ = 74.7,
+ CORRZ = -0.834,
+ OFFSETZ = 0.466e-02,
+ OFFSETPZ = 72e6,
+ R61 = 0.496,
+ R62 = -0.042,
+ R51 = 0.023,
+ R52 = 0.385;
+\end{example}
+\index{Distribution!GAUSS|)}
+
+\section{\keyword{FLATTOP} Distribution Type}
+\label{sec:flattopdisttype}
+\index{Distribution!FLATTOP|(}
+\FloatBarrier
+
+The \keyword{FLATTOP} distribution type is used to define hard edge beam distributions. Hard edge, in this case, means
+a more or less uniformly filled cylinder of charge, although as we will see this is not always the case. The main purpose
+of the \keyword{FLATTOP} is to mimic laser pulses in photoinjectors, and so we usually will make this an \emph{emitted}
+distribution. However it can be \emph{injected} as well.
+
+\subsection{Injected \keyword{FLATTOP}}
+The attributes for an \emph{injected} \keyword{FLATTOP} distribution are defined in \tabref{distattrflattopinj,distattruniversal}.
+At the moment, we cannot define a spread in the beam momentum, so an \emph{injected} \keyword{FLATTOP}
+distribution will currently have zero emittance. An \emph{injected} \keyword{FLATTOP} will be a uniformly filled ellipse transversely
+with a uniform distribution in $z$. (Basically a cylinder with an elliptical cross section.)
+
+\begin{table}[!htb]
+ \begin{center}\footnotesize
+ \caption{Definition of the basic distribution attributes for an \emph{injected} \keyword{FLATTOP} distribution type.}
+ \label{tab:distattrflattopinj}
+ \begin{tabularx}{\textwidth-1cm}{|l|c|c|X|}
+ \hline
+ \tabhead{Attribute Name & Default Value & Units & Description }
+ \hline
+ \tabline{SIGMAX}{\index{SIGMAX} \num{0.0} & \si{\meter} & Hard edge width in $x$ direction.}
+ %\hline
+ \tabline{SIGMAY}{\index{SIGMAY} \num{0.0} & \si{\meter} & Hard edge width in $y$ direction.}
+ %\hline
+ \tabline{SIGMAR}{\index{SIGMAR} \num{0.0} & \si{\meter} & Hard edge radius. If nonzero \keyword{SIGMAR} overrides \keyword{SIGMAX} and \keyword{SIGMAY}. }
+ %\hline
+ \tabline{SIGMAZ}{\index{SIGMAZ} \num{0.0} & \si{\meter} & Hard edge length in $z$ direction. }
+ \hline
+ \end{tabularx}
+ \end{center}
+\end{table}
+
+
+\subsection{Emitted \keyword{FLATTOP}}
+
+\begin{table}[!htb]
+ \begin{center}\footnotesize
+ \caption{Definition of the basic distribution attributes for an \emph{emitted} \keyword{FLATTOP} distribution type.}
+ \label{tab:distattrflattopemit}
+ \begin{tabularx}{\textwidth - 1cm}{|l|c|c|X|}
+ \hline
+ \tabhead{Attribute Name & Default Value & Units & Description }
+ \hline
+ \tabline{SIGMAX}{\index{SIGMAX} \num{0.0} & \si{\meter} & Hard edge width in $x$ direction.}
+ %\hline
+ \tabline{SIGMAY}{\index{SIGMAY} \num{0.0} & \si{\meter} & Hard edge width in $y$ direction.}
+ %\hline
+ \tabline{SIGMAR}{\index{SIGMAR} \num{0.0} & \si{\meter} & Hard edge radius. If nonzero \keyword{SIGMAR} overrides \keyword{SIGMAX} and \keyword{SIGMAY}. }
+ %\hline
+ \tabline{SIGMAT}{\index{SIGMAT} \num{0.0} & \si{\second} & RMS rise and fall of half Gaussian in flat top defined in
+ in \figref{flattop}.}
+ %\hline
+ \tabline{TPULSEFWHM}{\index{TPULSEFWHM} \num{0.0} & \si{\second} & Flat top time. See \figref{flattop}. }
+ %\hline
+ \tabline{TRISE}{\index{TRISE} \num{0.0} & \si{\second} & Rise time. See \figref{flattop}. If defined will override
+ \keyword{SIGMAT}.}
+ %\hline
+ \tabline{TFALL}{\index{TFALL} \num{0.0} & \si{\second} & Fall time. See \figref{flattop}. If defined will override
+ \keyword{SIGMAT}.}
+ %\hline
+ \tabline{FTOSCAMPLITUDE}{\index{FTOSCAMPLITUDE} \num{0} & None & Sinusoidal oscillations can imposed on the flat top in \figref{flattop}.
+ This defines the amplitude of those oscillations in percent of the average flat top amplitude.}
+ %\hline
+ \tabline{FTOSCPERIODS}{\index{FTOSCPERIODS} \num{0} & None & Defines the number of oscillation periods imposed on the flat top,
+ $t_\mathrm{flattop}$, in \figref{flattop}.}
+ %\hline
+ \tabline{LASERPROFFN}{\index{LASERPROFFN} & None & File name containing measured laser image. }
+ %\hline
+ \tabline{IMAGENAME}{\index{IMAGENAME} & None & Name of the file containing the laser image. }
+ %\hline
+ \tabline{INTENSITYCUT}{\index{INTENSITYCUT} \num{0.0} & None & Parameter defining floor of the background to be subtracted
+ from the laser image in percent of the maximum intensity.}
+ \tabline{FLIPX}{\index{FLIPX} \keyword{FALSE} & & Flip the laser profile in horizontal direction.}
+ \tabline{FLIPY}{\index{FLIPY} \keyword{FALSE} & & Flip the laser profile in vertical direction.}
+ \tabline{ROTATE90}{\index{ROTATE90} \keyword{FALSE} & & Rotate the laser profile \SI{90}{\degree} in counterclockwise direction.}
+ \tabline{ROTATE180}{\index{ROTATE180} \keyword{FALSE} & & Rotate the laser profile \SI{180}{\degree}.}
+ \tabline{ROTATE270}{\index{ROTATE270} \keyword{FALSE} & & Rotate the laser profile \SI{270}{\degree} in counterclockwise direction.}
+ \hline
+ \end{tabularx}
+ \end{center}
+\end{table}
+
+The attributes of an \emph{emitted} \keyword{FLATTOP} distribution are defined in \tabref{distattrflattopemit,distattruniversal}.
+The \keyword{FLATTOP} distribution was really intended for this mode of operation in order to mimic
+common laser pulses in photoinjectors. The basic characteristic of a \keyword{FLATTOP} is a uniform, elliptical transverse distribution
+and a longitudinal (time) distribution with a Gaussian rise and fall time as described in \secref{gaussdisttypephotoinjector}.
+Below we show an example of a \keyword{FLATTOP} distribution command with an elliptical cross section of \SI{1}{\milli\meter} by \SI{2}{\milli\meter} and a flat top,
+in time, \SI{10}{\pico\second} long with a \SI{0.5}{\pico\second} rise and fall time as defined in \figref{flattop}.
+
+\begin{example}
+Dist:DISTRIBUTION, DISTRIBUTION = FLATTOP,
+ SIGMAX = 0.001,
+ SIGMAY = 0.002,
+ TRISE = 0.5e-12,
+ TFALL = 0.5e-12,
+ TPULSEFWHM = 10.0e-12,
+ CUTOFFLONG = 4.0,
+ NBIN = 5,
+ EMISSIONSTEPS = 100,
+ EMISSIONMODEL = ASTRA,
+ EKIN = 0.5,
+ EMITTED = TRUE;
+\end{example}
+\index{Distribution!FLATTOP|(}
+
+\subsection{Transverse Distribution from Laser Profile (Under Development)}
+\index{Distribution!Laser Profile}
+An alternative to using a uniform, elliptical transverse profile is to define the \keyword{LASERPROFFN}, \keyword{IMAGENAME} and
+\keyword{INTENSITYCUT} attributes from \tabref{distattrflattopemit}. Then, \opalt will use the laser image as the basis
+to sample the transverse distribution.
+
+\textbf{\emph{This distribution option is not yet available.}}
+
+
+\subsection{\keyword{GUNGAUSSFLATTOPTH} Distribution Type}
+\label{sec:gungaussflattopthdisttype}
+\index{Distribution!GUNGAUSSFLATTOPTH}
+This is a legacy distribution type. A \keyword{GUNGAUSSFLATTOPTH} is the equivalent of a \keyword{FLATTOP} distribution, except that
+the \keyword{EMITTED} attribute will set to \keyword{TRUE} automatically and the \keyword{EMISSIONMODEL} will be automatically set
+to \keyword{ASTRA}.
+
+\subsection{\keyword{ASTRAFLATTOPTH} Distribution Type}
+\label{sec:astraflattopthdisttype}
+\index{Distribution!ASTRAFLATTOPTH}
+This is a legacy distribution type. A \keyword{ASTRAFLATTOPTH} is the equivalent of a \keyword{FLATTOP} distribution, except that
+the \keyword{EMITTED} attribute will set to \keyword{TRUE} automatically and the \keyword{EMISSIONMODEL} will be automatically set
+to \keyword{ASTRA}. There are a few other differences with how the longitudinal time profile of the distribution is generated.
+
+\section{\keyword{BINOMIAL} Distribution Type}
+\label{sec:binomialdisttype}
+\index{Distribution!BINOMIAL}
+\FloatBarrier
+
+The \keyword{BINOMIAL} type of distribution is based on \cite{JohoDist}. The shape of the binomial distribution is governed by
+one parameter $m$. By varying this single parameter one obtains the most commonly used distributions for our type of simulations,
+as listed in \tabref{binomdist}.
+
+\begin{table}[!htb]
+ \begin{center} \footnotesize
+ \caption{Different distributions specified by a single parameter $m$}
+ \label{tab:binomdist}
+ \begin{tabularx}{\textwidth-1cm}{|l|l|l|X|}
+ \hline
+ \tabhead{$m$ & Distribution & Density & Profile }
+ \hline
+ \num{0.0} & Hollow shell & $\frac{1}{\pi}\delta(1-r^2)$ &$\frac{1}{\pi}(1-r^2)^{-0.5}$\\
+ %\hline
+ \num{0.5} & Flat profile & $\frac{1}{2\pi}(1-r^2)^{-0.5}$ & $\frac{1}{2}$\\
+ %\hline
+ \num{1.0} & Uniform & $\frac{1}{\pi}$ & $\frac{2}{\pi}(1-x^2)^{0.5}$\\
+ %\hline
+ \num{1.5} & Elliptical & $\frac{3}{2\pi}(1-r^2)^{0.5}$ & $\frac{1}{4}(1-x^2)$ \\
+ %\hline
+ \num{2.0} & Parabolic & $\frac{2}{\pi}(1-r^2)$ & $\frac{3}{8\pi}(1-x^2)^{1.5}$ \\
+ %\hline
+ $\rightarrow \infty$ & Gaussian & $\frac{1}{2\pi\sigma_x\sigma_y}exp(-\frac{x^2}{2\sigma_x^2} -\frac{y^2}{2\sigma_y^2})$ &
+ $\frac{1}{\sqrt{2\pi}*\sigma_x}exp(-\frac{x^2}{2\sigma_x^2}) $ \\
+ \hline
+ \end{tabularx}
+ \end{center}
+\end{table}
+
+\section{Emission Models}
+\label{sec:emissionmodel}
+\index{Distribution!Emission}
+\index{Emission}
+\FloatBarrier
+
+When emitting a distribution from a cathode, there are several ways in which we can model the emission process in order
+to calculate the thermal emittance of the beam. In this section we discuss the various options available.
+
+\subsection{Emission Model: \keyword{NONE} (default)}
+\index{Emission Model!NONE}
+The emission model \keyword{NONE} is the default emission model used in \opalt. It has a single attribute, listed in
+\tabref{distattremitmodelnoneastra}. The \keyword{NONE} emission model is very simplistic. It merely adds the amount
+of energy defined by the attribute \keyword{EKIN} to the longitudinal momentum, $p_{z}$, for each particle in the distribution
+as it leaves the cathode.
+
+\begin{table}[!htb]
+ \begin{center}\footnotesize
+ \caption{Attributes for the \keyword{NONE} and \keyword{ASTRA} emission models.}
+ \label{tab:distattremitmodelnoneastra}
+ \begin{tabularx}{\textwidth-1cm}{|l|c|c|X|}
+ \hline
+ \tabhead{Attribute Name & Default Value & Units & Description }
+ \hline
+ \tabline{EKIN}{\index{EKIN} \num{1.0} &\si{\electronvolt} & Thermal energy added to beam during emission.}
+ \hline
+ \end{tabularx}
+ \end{center}
+\end{table}
+
+An example of using the \keyword{NONE} emission model is given below. This option allows us to emit transversely cold
+(zero x and y emittance) beams into our simulation. We must add some z momentum to ensure that the particles drift into
+the simulation space. If in this example one were to specify \keyword{EKIN = 0}, then you would likely get strange results
+as the particles would not move off the cathode, causing all of the emitted charge to pile up at $z = 0$ in the first half
+time step before the beam space charge is calculated.
+
+\begin{example}
+Dist:DISTRIBUTION, DISTRIBUTION = FLATTOP,
+ SIGMAX = 0.001,
+ SIGMAY = 0.002,
+ TRISE = 0.5e-12,
+ TFALL = 0.5e-12,
+ TPULSEFWHM = 10.0e-12,
+ CUTOFFLONG = 4.0,
+ NBIN = 5,
+ EMISSIONSTEPS = 100,
+ EMISSIONMODEL = NONE,
+ EKIN = 0.5,
+ EMITTED = TRUE;
+\end{example}
+
+One thing to note, it may be that if you are emitting your own distribution using the \keyword{DISTRIBUTION = FROMFILE}
+option, you may want to set \keyword{EKIN = 0} if you have already added some amount of momentum, $p_{z}$, to the
+particles.
+
+\subsection{Emission Model: \keyword{ASTRA}}
+\index{Emission Model!ASTRA}
+The \keyword{ASTRA} emittance model uses the same single parameter as the \keyword{NONE} option as listed in
+\tabref{distattremitmodelnoneastra}. However, in this case, the energy defined by the \keyword{EKIN} attribute is
+added to each emitted particle's momentum in a random way:
+
+\begin{equation*}
+ \begin{aligned}
+ p_{total} &= \sqrt{\left(\frac{\keyword{EKIN}}{mc^{2}} + 1\right)^{2} - 1} \\
+ p_{x} &= p_{total} \sin(\phi) \cos(\theta)) \\
+ p_{y} &= p_{total} \sin(\phi) \sin(\theta)) \\
+ p_{z} &= p_{total} |{\cos(\theta)}|
+ \end{aligned}
+\end{equation*}
+where $\theta$ is a random angle between $0$ and $\pi$, and $\phi$ is given by
+
+\begin{equation*}
+ \phi = 2.0 \arccos \left( \sqrt{x} \right)
+\end{equation*}
+with $x$ a random number between $0$ and $1$.
+
+\subsection{Emission Model: \keyword{NONEQUIL}}
+\index{Emission Model!NONEQUIL}
+The \keyword{NONEQUIL} emission model is based on an actual physical model of particle emission as described in
+\cite{flo:97, clen:2000, dowe:2009}. The attributes needed by this emission model are listed in
+\tabref{distattremitmodelnonequil}.
+
+\begin{table}[!htb]
+ \begin{center}\footnotesize
+ \caption{Attributes for the \keyword{NONE} and \keyword{ASTRA} emission models.}
+ \label{tab:distattremitmodelnonequil}
+ \begin{tabularx}{\textwidth-1cm}{|l|c|c|X|}
+ \hline
+ \tabhead{Attribute Name & Default Value & Units & Description}
+ \hline
+ \tabline{ELASER}{\index{ELASER} \num{4.86} & \si{\electronvolt} & Photoinjector drive laser energy. (Default is \SI{255}{\nano\meter} light.)}
+ %\hline
+ \tabline{W}{\index{W} \num{4.31} & \si{\electronvolt} & Photocathode work function. (Default is atomically clean copper.)}
+ %\hline
+ \tabline{FE}{\index{FE} \num{7.0} & \si{\electronvolt} & Fermi energy of photocathode. (Default is atomically clean copper.)}
+ %\hline
+ \tabline{CATHTEMP}{\index{CATHTEMP} \num{300.0} & \si{\kelvin} & Operating temperature of photocathode.}
+ \hline
+ \end{tabularx}
+ \end{center}
+\end{table}
+
+An example of using the \keyword{NONEQUIL} emission model is given below. This model is relevant for metal
+cathodes and cathodes such as $CsTe$.
+
+\begin{example}
+Dist:DISTRIBUTION, DISTRIBUTION = GAUSS,
+ SIGMAX = 0.001,
+ SIGMAY = 0.002,
+ TRISE = 1.0e-12,
+ TFALL = 1.0e-12,
+ TPULSEFWHM = 15.0e-12,
+ CUTOFFLONG = 3.0,
+ NBIN = 10,
+ EMISSIONSTEPS = 100,
+ EMISSIONMODEL = NONEQUIL,
+ ELASER = 6.48,
+ W = 4.1,
+ FE = 7.0,
+ CATHTEMP = 325,
+ EMITTED = TRUE;
+\end{example}
+
+
+
+\section{Distribution List}
+\label{sec:distlist}
+\index{Distribution List}
+\FloatBarrier
+
+It is possible to use multiple distributions in the same simulation. We do this be using a distribution list
+in the \keyword{RUN} command \seechp{track}. Assume we have defined several distributions: \keyword{DIST1},
+\keyword{DIST2} and \keyword{DIST3}. If we want to use just one of these distributions in a simulation, we would use the
+following \keyword{RUN} command to start the simulation:
+
+\begin{example}
+RUN, METHOD = "PARALLEL-T",
+ BEAM = beam_name,
+ FIELDSOLVER = field_solver_name,
+ DISTRIBUTION = DIST1;
+\end{example}
+If we want to use all the distributions at the same time, then the command would instead be:
+
+\begin{example}
+RUN, METHOD = "PARALLEL-T",
+ BEAM = beam_name,
+ FIELDSOLVER = field_solver_name,
+ DISTRIBUTION = {DIST1, DIST2, DIST3};
+\end{example}
+In this second case, the first distribution (\keyword{DIST1}) is the master distribution. The main consequence of this is that
+all distributions in the list will be forced to the same \keyword{EMITTED} condition as \keyword{DIST1}. So, if \keyword{DIST1}
+is to be \emph{emitted}, then all other distributions in the list will be forced to this same condition. If \keyword{DIST1} is
+to be \emph{injected}, then all other distribution is the list will also be \emph{injected}.
+
+The number of particles in the simulation is defined in the \keyword{BEAM} command \seechp{beam}. The number
+of particles in each distribution in a distribution list is determined by this number and the \keyword{WEIGHT} attribute
+of each distribution (\tabref{distattruniversal}). If all distributions have the same \keyword{WEIGHT} value, then
+the number of particles will be divided up evenly among them. If, however we have a distribution list consisting of
+two distributions, and one has twice the \keyword{WEIGHT} of the other, then it will have twice the particles as its partner.
+The exception here is any \keyword{FROMFILE} distribution type. In this case, the \keyword{WEIGHT} attribute and the number of
+particles in the \keyword{BEAM} command are ignored. The number of particles in any \keyword{FROMFILE} distribution type is
+defined by the text file containing the distribution particle coordinates. (\secref{fromfiledisttype}).
+
+
+% \TODO{AA will rewrite}
+
+
+% There are also special distribution commands.
+% \begin{enumerate}
+%\item {\it GUNGAUSS} will create a distribution that is uniform in $x$ and $y$ (with the
+%radius in each plane given by SIGMAX and SIGMAY) and with a Gaussian distribution longitudinally (given by SIGMAT).
+%This distribution is cold in the transverse direction and has a uniform temperature given by the initial kinetic energy in
+%eV specified by the PT and the SIGMAPT variables.
+%\item {\it GUNGAUSS3D} is identical to {\it GUNGAUSS} except that it generates a distribution that is Gaussian in the
+%transverse planes as well.
+%\item {\it GUNUNIFORM} is the same as {\it GUNGAUSS} except that the longitudinal distribution is uniform. The result is a
+%uniformaly filled cylinder of charge. (SIGMAT gives the length of the cylinder in meters.)
+%\item {\it UNITUNIL} will create a 3D spatial Uniform distribution in transverse as well as longitudinal direction, cold
+%in transverse direction and with a uniform temperature given by the initial kinetic in\si{\electronvolt} specified by the PT and the SIGMAPT variables.
+% \item {\it GUNGAUSSFLATTOPTH} will create a distribution that is uniform
+% transversely. The longitudinal profile has a
+% Guassian rise and fall with a flat top distribution in between. More details are
+% given in \secref{dist_flattop}. This distribution has thermal emittance as defined in \secref{them}.
+
+% \item {\it ASTRAFLATTOPTH} is the same like \keyword{GUNGAUSSFLATTOPTH} except it uses a low noise Hammersley generator in the longitudinal direction.
+
+% \end{enumerate}
+
+% \begin{table}[!htb]
+% \begin{center}
+% \footnotesize
+% \caption{Parameters for the DISTRIBUTION command}
+% \begin{tabularx}{\textwidth-1cm}{|l|X|}
+% \hline
+% \tabhead{Parameter & Purpose}
+% \hline
+% \tabline{DISTRIBUTION}{\index{DISTRIBUTION} \keyword{FROMFILE} or \keyword{GAUSS} or \keyword{BINOMINAL}}
+% \tabline{}{\index{} \keyword{GUNGAUSSFLATTOPTH} or \keyword{ASTRAFLATTOPTH}}
+% \tabline{FNAME}{\index{FNAME} Specifies the filename of a particle distribution to be read in}
+% \tabline{XMULT}{\index{XMULT} Scales the x coordinate: $x = XMULT*x$}
+% \tabline{PXMULT}{\index{PXMULT} Scales the px coordinate: $px = PXMULT*px$}
+% \tabline{YMULT}{\index{YMULT} Scales the y coordinate: $y = YMULT*y$}
+% \tabline{PYMULT}{\index{PYMULT} Scales the py coordinate: $py = PYMULT*py$}
+% \tabline{TMULT}{\index{TMULT} Scales the t coordinate: $t = TMULT*t$}
+% \tabline{PTMULT}{\index{PTMULT} Scales the pt coordinate: $pt = PTMULT*pt$}
+% %\hline
+% \tabline{SIGMAX}{\index{SIGMAX} $\rms{x}$ see Chapter on Notation }
+% \tabline{SIGMAPX}{\index{SIGMAPX} $\rms{p}_x$ see Chapter on Notation }
+% \tabline{SIGMAY}{\index{SIGMAY} $\rms{y}$ see Chapter on Notation }
+% \tabline{SIGMAPY}{\index{SIGMAPY} $\rms{p}_y$ see Chapter on Notation }
+% \tabline{SIGMAT}{\index{SIGMAT} $\rms{t}$ see Chapter on Notation }
+% \tabline{TRANSVCUTOFF}{\index{TRANSVCUTOFF} Defines the transverse cut-off of \keyword{GUNGAUSS3D} in units of $\sigma$}
+% \tabline{PT}{\index{PT} $\langle p_t \rangle$ see Chapter on Notation }
+% \tabline{SIGMAPT}{\index{SIGMAPT} $\rms{p}_t$ see Chapter on Notation }
+% %\hline
+% \tabline{mx} {Defines the transverse distribution (see \tabref{binomdist}) }
+% \tabline{my} {Defines the transverse distribution (see \tabref{binomdist}) }
+% \tabline{mt} {Defines the longitudinal distribution (see \tabref{binomdist}) }
+% %\hline
+% \tabline{CORRX} {Defines the $x$, $p_x$ correlation }
+% \tabline{CORRY} {Defines the $y$, $p_y$ correlation }
+% \tabline{CORRT} {Defines the $t$, $p_t$ correlation }
+% %\hline
+% \end{tabularx}
+% \end{center}
+% \end{table}
+
+% \begin{table}[!htb]
+% \footnotesize
+% \caption{Parameters of the distribution command}
+% \label{tab:distrparam}
+% \begin{center}
+% \begin{tabularx}{\textwidth-1cm}{|l|X|}
+% \hline
+% \tabhead{Parameter & Purpose}
+% \hline
+% \tabline{TEMISSION} {Defines the length of the emission process [s] }
+% \tabline{NBIN} {How many energy bins begin used. For accurate }
+% \tabline{} {results this should be around 10 for an RF photoinjector}
+% \tabline{} {and around 40 for a DC photoinjector.}
+% \tabline{SBIN} {How many samples per energy bin to use when}
+% \tabline{} {constructing the time histogram of the distribution.}
+% \tabline{} {The default value is 100.}
+% \tabline{DEBIN} {Defines a energy band $dE$ [\si{\mega\electronvolt}].}
+% \tabline{} {If the maximal energy difference between all bins are}
+% \tabline{} {smaller than $dE$ all bins are merged into one bin.}
+% %\hline
+% \tabline{ELASER}{\index{ELASER} Laser energy (eV)}
+% \tabline{SIGLASER}{\index{SIGLASER} Sigma of (uniform) laser spot size (m)}
+% \tabline{W}{\index{W} Workfunction of material (eV)}
+% \tabline{FE}{\index{FE} Fermi energy (eV)}
+% \tabline{AG}{\index{AG} Acceleration Gradient (MV/m)}
+% \hline
+% \end{tabularx}
+% \end{center}
+% \end{table}
+
+% The following example reads in a distribution from a file and scales the coordinates:
+% \begin{example}
+% DistFile:DISTRIBUTION, DISTRIBUTION=FROMFILE,
+% FNAME="../Dist/inpdist1finitecur.dat",
+% XMULT=0.06816207, YMULT=0.06816207,
+% TMULT=1.0*beta*0.06816207,
+% PXMULT=1/gambet, PYMULT=1/gambet,
+% PTMULT=1.0/beta^2/gamma;
+% \end{example}
+
+% The file with the data has to have the following format:\\
+% \\
+% $N$\\
+% $x_1$ $px_1$ $y_1$ $py_1$ $z_1$ $pz_1$\\
+% $x_2$ $px_2$ $y_2$ $py_2$ $z_2$ $pz_2$\\
+% .\\
+% .\\
+% $x_N$ $px_N$ $y_N$ $py_N$ $z_N$ $pz_N$,\\
+% \\
+% where $N$ is the number of particles, the vector $(x_i,y_i,z_i)$ describes the position of the i-th particle and the vector $(px_i, py_i, pz_i)$ its momentum in as defined in
+% \secref{variablesopalt,variablesopalcycl}.
+
+
+
+% \section{Thermal Emittance}
+% \label{sec:them}
+% \index{Thermal Emittance}
+% \FloatBarrier
+
+% The thermal emittance calculation is based on \cite{flo:97, clen:2000} where $P(E_f,E_{ph}=\hbar\omega)$ the probability for a photon of energy $E_{ph}$ exiting an electron to a final state energy $E_f$ is
+
+% \begin{equation} P(E_f,E_{ph}=\hbar\omega) \propto N_f(E_f) N_i(E_f - E_{ph}=\hbar\omega) \text{ with}\end{equation}
+
+
+% $N_f(E_f)$ is the density of final state
+% and $N_i(E_f - E_{ph})$ is the density of initial state.
+
+% Two cases, no-scattering (non-equilibrum) and scattering (equilibrium, e-e and e-phonon collisions) can be distinguished. In \opal the non-equilibrum case is considered and a uniform radial distribution is assumed hence: $x_{rms} = \frac{r}{2}$ \footnote{Soon we can generate distributions form virtual cathode images}.
+
+% Photoemission from a metal involves fist the absorption of a photon with:
+% \begin{equation}
+% \hbar\omega > \Phi_e
+% \end{equation}
+% where $\Phi_e = \Phi - \Delta$ is the reduced work function.
+% The reduction is a function of the applied electric field $E_c$:
+% \begin{equation}
+% \Delta = e \sqrt{e E_c / 4 \pi \epsilon_0}.
+% \end{equation}
+
+% Electrons are emitted isotropic into the half-sphere with: $E_{kin} = \epsilon_{f} + \hbar\omega$.
+
+% Particles with angel $\varphi$ larger than $\varphi_{max}=\arccos{\sqrt{(\epsilon_f + \Phi_e / E_{kin})}}$ will pass the potential barrier.
+% \begin{equation} p_x = p \sin{\varphi} \cos{\theta},~ \varphi=[0\dots \varphi_{max}],~ \theta=[0\dots \pi] \end{equation}
+% and
+% \begin{equation} p= m_0 c \sqrt{\gamma^2 - 1}. \end{equation}
+
+% The following parameters defines the thermal emittance: $r_{rms}$, material such as Cu, Fe, Cs2Te $\rightarrow \Phi, \epsilon_f$,
+% the laser energy given by $\hbar\omega$ and the electric field $E_c$ which enters in the Schottky effect calculation.
+
+% This is a example of an \opal distribution definition with thermal emittance similar to the example in \cite{clen:2000} p.199.
+
+% \begin{example}
+% Dist1:DISTRIBUTION, DISTRIBUTION = GUNGAUSSFLATTOPTH,
+% sigmax=0.00054, sigmapx=0.0, corrx=0.0,
+% sigmay=0.00054, sigmapy=0.0, corry=0.0,
+% sigmat=0.0, pt=0.0, sigmapt=0.0, corrt=0.0,
+% tRise=0.5e-12, tFall=0.5e-12, tPulseFWHM=9.9e-12,
+% cutoff=3.0,
+% NBIN=50, DEBIN=80,
+% ELASER=4.6, SIGLASER=0.001, W=4.6, FE=7.0, AG=84;
+
+% \end{example}
+
+% \section{Flattop Distribution}
+% \label{sec:dist_flattop}.
+% \index{Distribution!FLATTOP}
+
+% In \opal this distribution can be specified by the following
+% distribution command (thermal emittance enabled)
+% %
+% \begin{example}
+% Dist1:DISTRIBUTION, DISTRIBUTION = "GUNGAUSSFLATTOPTH",
+% sigmax = 0.000275 * 2., sigmapx = 0.0, corrx = 0.0,
+% sigmay = 0.000275 * 2., sigmapy = 0.0, corry = 0.0,
+% sigmat = 0.0, pt = 0.0, sigmapt = 0.0, corrt = 0.0,
+% tRise = 0.7e-12, tFall = 0.7e-12, tPulseFWHM = 9.9e-12,
+% ekin = 0.63, NBIN = 50, DEBIN = 80;
+% \end{example}
+% %
+% where \texttt{tRise} ($t_R$, olive in Figure 1), \texttt{tFall} and
+% \texttt{tPulseFWHM} ($\mathrm{FWHM}_P$, red in Figure 1) in seconds $[s]$ define
+% the shape of the Gauss-Flattop distribution. The default cutoff is \texttt{3.0}.
+% This can be changed by adding e.g. \texttt{cutoff = 4.0} to the distribution
+% command.
+
+% \subsection{Legacy Mode}
+
+% We provide a legacy mode for flattop distribution. The following
+% old input specification
+% %
+% \begin{example}
+% SRise = 0.7e-12;
+% SFall = 0.7e-12;
+% CRise = 3.0;
+% CFall = 3.0;
+% TFlatTop = 9.9e-12*0.925;
+% TEmis = TFlatTop + CRise* SRise + CFall* SFall;
+
+% value,{TFlatTop,TEmis};
+
+% Dist1:DISTRIBUTION, DISTRIBUTION = "GUNGAUSSFLATTOPTH",
+% sigmax = 0.000270*2.0, sigmapx = 0.0, corrx = 0.0,
+% sigmay = 0.000270*2.0, sigmapy = 0.0, corry = 0.0,
+% sigmat = 0.0, pt = 0.0, sigmapt = 0.0, corrt = 0.0, ekin = 0.4,
+% sigmarise = 0.7e-12, sigmafall = 0.7e-12, flattoptime = 9.9e-12*0.925,
+% cutoffrise = CRise, cutofffall = CFall,
+% TEMISSION = TEmis, NBIN = 10, DEBIN = 80;
+% \end{example}
+% %
+% can be replaced by
+% %
+% \begin{example}
+% st1:DISTRIBUTION, DISTRIBUTION = "GUNGAUSSFLATTOPTH",
+% sigmax = 0.000275 * 2., sigmapx = 0.0, corrx = 0.0,
+% sigmay = 0.000275 * 2., sigmapy = 0.0, corry = 0.0,
+% sigmat = 0.0, pt = 0.0, sigmapt = 0.0, corrt = 0.0, ekin = 0.4,
+% tRise = 0.7e-12, tFall = 0.7e-12, tPulseFWHM = 9.9e-12*0.925,
+% NBIN = 10, DEBIN = 80, LEGACYMODE=TRUE;
+% \end{example}
+% %
+% and should produce the same results. Make sure to enable the \keyword{LEGACYMODE}
+% option to create the flattop distribution in legacy mode!
+
+\index{Distribution Command|)}
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/elements.tex b/doc/user_guide/elements.tex
new file mode 100755
index 0000000000000000000000000000000000000000..afe3e19a8311dc86e725e3d235d918942356e860
--- /dev/null
+++ b/doc/user_guide/elements.tex
@@ -0,0 +1,2019 @@
+\input{header}
+
+\chapter{Elements}
+\label{chp:element}
+\index{Elements|(}
+
+\section{Element Input Format}
+\label{sec:elm-format}
+\index{Element!Format}
+All physical elements are defined by statements of the form
+\begin{example}
+label:keyword, attribute,..., attribute
+\end{example}
+where
+\begin{description}
+
+\item[label]
+ \index{Element!Label} \Newline
+ Is the name to be given to the element (in the example QF),
+ it is an {identifier} \seesec{label}.
+
+\item[keyword] \Newline
+ \index{Element!Keyword}
+ Is a {keyword} \seesec{label},
+ it is an element type keyword (in the example \keyword{QUADRUPOLE}),
+\item[attribute] \Newline
+ \index{Element!Attribute}
+ normally has the form
+\begin{example}
+attribute-name=attribute-value
+\end{example}
+\item[attribute-name] \Newline
+ selects the attribute from the list defined for the element type
+ \texttt{keyword} (in the example \keyword{L} and \keyword{K1}).
+ It must be an {identifier} \seesec{label}
+\item[attribute-value] \Newline
+ gives it a {value} \seesec{attribute}
+ (in the example \texttt{1.8} and \texttt{0.015832}).
+\end{description}
+Omitted attributes are assigned a default value, normally zero.
+
+\noindent Example:
+\begin{example}
+QF: QUADRUPOLE, L=1.8, K1=0.015832;
+\end{example}
+
+
+
+\section{Common Attributes for all Elements}
+\label{sec:Element:common}
+\index{Element!Common Attributes}
+The following attributes are allowed on all elements:
+\begin{kdescription}
+\item[TYPE]
+ A {string value} \seesec{astring}.
+ It specifies an ``engineering type'' and can be used for element
+ selection.
+\item[APERTURE]
+ A {string value} \seesec{astring} which describes
+ the element aperture.
+ All but the last attribute of the aperture have units of meter, the last one is optional and is a positive real number. Possible choices are
+ \begin{itemize}
+ \item \texttt{APERTURE}="\texttt{SQUARE}(\texttt{a,f})" has a square shape of width and height \texttt{a},
+ \item \texttt{APERTURE}="\texttt{RECTANGLE}(\texttt{a,b,f})" has a rectangular shape of width \texttt{a} and height \texttt{b},
+ \item \texttt{APERTURE}="\texttt{CIRCLE}(\texttt{d,f})" has a circular shape of diameter \texttt{d},
+ \item \texttt{APERTURE}="\texttt{ELLIPSE}(\texttt{a,b,f})" has an elliptical shape of major \texttt{a} and minor \texttt{b}.
+ \end{itemize}
+ The option \texttt{SQUARE}(\texttt{a,f}) is equivalent to \texttt{RECTANGLE}(\texttt{a,a,f}) and \texttt{CIRCLE}(\texttt{d,f}) is equivalent to \texttt{ELLIPSE}(\texttt{d,d,f}). The size of the exit aperture is scaled by a factor $f$. For $f < 1$ the exit aperture is smaller than the entrance aperture, for $f = 1$ they are the same and for $f > 1$ the exit aperture is bigger.
+
+ Dipoles have \keyword{GAP} and \keyword{HGAP} which define an aperture and hence do not recognise \keyword{APERTURE}. The aperture of the dipoles has rectangular shape of height \keyword{GAP} and width \keyword{HGAP}. In longitudinal direction it is bent such that its center coincides with the circular segment of the reference particle when ignoring fringe fields. Between the beginning of the fringe field and the entrance face and between the exit face and the end of the exit fringe field the rectangular shape has width and height that are twice of what they are inside the dipole.
+
+ Default aperture for all other elements is a circle of \SI{1.0}{\meter}.
+
+\item[L]
+ The length of the element (default: \SI{0}{\meter}).
+\item[WAKEF]
+ Attach wakefield that was defined using the \keyword[sec:wakecmd]{WAKE} command.
+\item[ELEMEDGE]
+ The edge of an element is specified in s coordinates in meters. This edge corresponds to the origin of the local coordinate system and is the physical start of the element. (Note that in general the fields will extend in front of this position.) The physical end of the element is determined by \keyword{ELEMEDGE} and its physical length. (Note again that in general the fields will extend past the physical end of the element.)
+\item[SURFACEPHYSICS]
+ \TODO{Describe SURFACEPHYSICS}
+\item[X]
+ X-component of the position of the element in the laboratory coordinate system.
+\item[Y]
+ Y-component of the position of the element in the laboratory coordinate system.
+\item[Z]
+ Z-component of the position of the element in the laboratory coordinate system.
+\item[THETA]
+ Angle of rotation of the element about the y-axis relative to the default orientation, $\vec{n} = \transpose{\left(0, 0, 1\right)}$.
+\item[PHI]
+ Angle of rotation of the element about the x-axis relative to the default orientation, $\vec{n} = \transpose{\left(0, 0, 1\right)}$ \item[PSI]
+ Angle of rotation of the element about the z-axis relative to the default orientation, $\vec{n} = \transpose{\left(0, 0, 1\right)}$ \item[ORIGIN]
+ 3D position vector. An alternative to using \keyword{X}, \keyword{Y} and \keyword{Z} to position the element. Can't be combined with \keyword{THETA} and \keyword{PHI}. Use \keyword{ORIENTATION} instead.
+\item[ORIENTATION]
+ Vector of Tait-Bryan angles \cite{bib:tait-bryan}. An alternative to rotate the element instead of using \keyword{THETA}, \keyword{PHI} and \keyword{PSI}. Can't be combined with \keyword{X}, \keyword{Y} and \keyword{Z}, use \keyword{ORIGIN} instead.
+\item[DX]
+ Error on x-component of position of element. Doesn't affect the design trajectory.
+\item[DY]
+ Error on y-component of position of element. Doesn't affect the design trajectory.
+\item[DZ]
+ Error on z-component of position of element. Doesn't affect the design trajectory.
+\item[DTHETA]
+ Error on angle \keyword{THETA}. Doesn't affect the design trajectory.
+\item[DPHI]
+ Error on angle \keyword{PHI}. Doesn't affect the design trajectory.
+\item[DPSI]
+ Error on angle \keyword{PSI}. Doesn't affect the design trajectory.
+
+\end{kdescription}
+
+All elements can have arbitrary additional attributes which are defined in the respective section.
+
+\clearpage
+
+\section{Drift Spaces}
+\label{sec:drift}
+\index{DRIFT}
+\begin{example}
+label:DRIFT, TYPE=string, APERTURE=string, L=real;
+\end{example}
+A DRIFT space has no additional attributes.
+\noindent Examples:
+\begin{example}
+DR1:DRIFT, L=1.5;
+DR2:DRIFT, L=DR1->L, TYPE=DRF;
+\end{example}
+The length of \texttt{DR2} will always be equal to the length of \texttt{DR1}.
+The reference system for a drift space is a Cartesian coordinate system
+\ifthenelse{\boolean{ShowMap}}{\seefig{straight}}{}.
+This is a restricted feature: \noopalcycl. In \opalt drifts are implicitly given, if no field is present.
+
+
+
+\clearpage
+\section{Bending Magnets}
+\label{sec:bend}
+\index{Bending Magnets|(}
+Bending magnets refer to dipole fields that bend particle trajectories. Currently \opal supports three different
+bend elements: \keyword{RBEND}, (valid in \opalt, see \ssecref{RBend}), \keyword{SBEND} (valid in \opalt, see
+\ssecref{SBend}), \keyword{RBEND3D}, (valid in \opalt, see \ssecref{RBend3D}) and \keyword{SBEND3D} (valid in
+\opalcycl, see \ssecref{SBend3D}).
+
+Describing a bending magnet can be somewhat complicated as there can be many parameters to consider: bend angle,
+bend radius, entrance and exit angles etc. Therefore we have divided this section into several parts:
+
+\begin{enumerate}
+\item \ssecref{RBend,SBend} describe the geometry and attributes of the \opalt bend
+ elements \keyword{RBEND} and \keyword{SBEND}.
+\item \ssecref{RBendSBendExamp} describes how to implement an \keyword{RBEND} or \keyword{SBEND} in an
+ \opalt simulation.
+\item \ssecref{SBend3D} is self contained. It describes how to implement an \keyword{SBEND3D} element in
+ an \opalcycl simulation.
+\end{enumerate}
+
+\input{figures/Elements/RBend}
+
+\subsection{RBend (\opalt)}
+\label{ssec:RBend}
+\index{RBEND}
+An \keyword{RBEND} is a rectangular bending magnet. The key property of an \keyword{RBEND} is that is has parallel
+pole faces. \figref{rbend} shows an \keyword{RBEND} with a positive bend angle and a positive entrance edge angle.
+
+\begin{kdescription}
+\item[L]
+ Physical length of magnet (meters, see \figref{rbend}).
+
+\item[GAP]
+ Full vertical gap of the magnet (meters).
+
+\item[HAPERT]
+ Non-bend plane aperture of the magnet (meters). (Defaults to one half the bend radius.)
+
+\item[ANGLE]
+ Bend angle (radians). Field amplitude of bend will be adjusted to achieve this angle. (Note that for
+ an \keyword{RBEND}, the bend angle must be less than $\nicefrac{\pi}{2} + E1$, where \keyword{E1} is the entrance edge angle.)
+
+\item[K0]
+ Field amplitude in y direction (Tesla). If the \keyword{ANGLE} attribute is set, \keyword{K0} is ignored.
+
+\item[K0S]
+ Field amplitude in x direction (Tesla). If the \keyword{ANGLE} attribute is set, \keyword{K0S} is ignored.
+
+\item[K1]
+ Field gradient index of the magnet, $K_1=-\frac{R}{B_{y}}\diffp{B_y}{x}$, where
+ $R$ is the bend radius as defined in \figref{rbend}. Not supported in \noopalt any more. Superimpose a \keyword[sec:quadrupole]{Quadrupole} instead.
+
+\item[E1]
+ Entrance edge angle (radians). \figref{rbend} shows the definition of a positive entrance
+ edge angle. (Note that the exit edge angle is fixed in an \keyword{RBEND} element to E2 = ANGLE
+ $\text{\keyword{E2}} = \text{\keyword{ANGLE}} - \text{\keyword{E1}}$).
+
+\item[DESIGNENERGY]
+ Energy of the reference particle (\si{\mega\electronvolt}). The reference particle travels approximately the path shown in
+ \figref{rbend}.
+
+\item[FMAPFN]
+ Name of the field map for the magnet. Currently maps of type \texttt{1DProfile1} can
+ be used \seesec{1DProfile1}. The default option for this attribute is \keyword{FMAPN} =
+ ``\keyword{1DPROFILE1-DEFAULT}'' \seessec{benddefaultfieldmapopalt}. The field map is used to
+ describe the fringe fields of the magnet \seesec{1DProfile1}.
+
+\end{kdescription}
+
+\clearpage
+\subsection{RBend3D (\opalt)}
+\label{ssec:RBend3D}
+\index{RBEND3D}
+An \keyword{RBEND3D3D} is a rectangular bending magnet. The key property of an \keyword{RBEND3D} is that is has parallel
+pole faces. \figref{rbend} shows an \keyword{RBEND3D} with a positive bend angle and a positive entrance edge angle.
+
+\begin{kdescription}
+\item[L]
+ Physical length of magnet (meters, see \figref{rbend}).
+
+\item[GAP]
+ Full vertical gap of the magnet (meters).
+
+\item[HAPERT]
+ Non-bend plane aperture of the magnet (meters). (Defaults to one half the bend radius.)
+
+\item[ANGLE]
+ Bend angle (radians). Field amplitude of bend will be adjusted to achieve this angle. (Note that for
+ an \keyword{RBEND3D}, the bend angle must be less than $\nicefrac{\pi}{2} + E1$, where \keyword{E1} is the entrance edge angle.)
+
+\item[K0]
+ Field amplitude in y direction (Tesla). If the \keyword{ANGLE} attribute is set, \keyword{K0} is ignored.
+
+\item[K0S]
+ Field amplitude in x direction (Tesla). If the \keyword{ANGLE} attribute is set, \keyword{K0S} is ignored.
+
+\item[K1]
+ Field gradient index of the magnet, $K_1=-\frac{R}{B_{y}}\diffp{B_y}{x}$, where
+ $R$ is the bend radius as defined in \figref{rbend}. Not supported in \noopalt any more. Superimpose a \keyword[sec:quadrupole]{Quadrupole} instead.
+
+\item[E1]
+ Entrance edge angle (radians). \figref{rbend} shows the definition of a positive entrance
+ edge angle. (Note that the exit edge angle is fixed in an \keyword{RBEND3D} element to E2 = ANGLE
+ $\text{\keyword{E2}} = \text{\keyword{ANGLE}} - \text{\keyword{E1}}$).
+
+\item[DESIGNENERGY]
+ Energy of the reference particle (\si{\mega\electronvolt}). The reference particle travels approximately the path shown in
+ \figref{rbend}.
+
+\item[FMAPFN]
+ Name of the field map for the magnet. Currently maps of type \texttt{1DProfile1} can
+ be used \seesec{1DProfile1}. The default option for this attribute is \keyword{FMAPN} =
+ ``\keyword{1DPROFILE1-DEFAULT}'' \seessec{benddefaultfieldmapopalt}. The field map is used to
+ describe the fringe fields of the magnet \seesec{1DProfile1}.
+
+\end{kdescription}
+\clearpage
+
+\input{figures/Elements/SBend}
+
+\subsection{SBend (\opalt)}
+\label{ssec:SBend}
+\index{SBEND}
+An \keyword{SBEND} is a sector bending magnet. An \keyword{SBEND} can have independent entrance and exit edge
+angles. \figref{sbend} shows an \keyword{SBEND} with a positive bend angle, a positive entrance
+edge angle, and a positive exit edge angle.
+
+\begin{kdescription}
+\item[L]
+ Chord length of the bend reference arc in meters (see \figref{sbend}), given by:
+ \begin{equation*}
+ L = 2 R sin\left(\frac{\alpha}{2}\right)
+ \end{equation*}
+
+\item[GAP]
+ Full vertical gap of the magnet (meters).
+
+\item[HAPERT]
+ Non-bend plane aperture of the magnet (meters). (Defaults to one half the bend radius.)
+
+\item[ANGLE]
+ Bend angle (radians). Field amplitude of the bend will be adjusted to achieve this angle. (Note that practically
+ speaking, bend angles greater than $\frac{3 \pi}{2}$ (270 degrees) can be problematic. Beyond this, the fringe
+ fields from the entrance and exit pole faces could start to interfere, so be careful when setting up bend angles
+ greater than this. An angle greater than or equal to $2 \pi$ (360 degrees) is not allowed.)
+
+\item[K0]
+ Field amplitude in y direction (Tesla). If the \keyword{ANGLE} attribute is set, \keyword{K0} is ignored.
+
+\item[K0S]
+ Field amplitude in x direction (Tesla). If the \keyword{ANGLE} attribute is set, \keyword{K0S} is ignored.
+
+\item[K1]
+ Field gradient index of the magnet, $K_1=-\frac{R}{B_{y}}\diffp{B_y}{x}$, where
+ $R$ is the bend radius as defined in \figref{sbend}. Not supported in \noopalt any more. Superimpose a \keyword[sec:quadrupole]{Quadrupole} instead.
+
+\item[E1]
+ Entrance edge angle (\si{\radian}). \figref{sbend} shows the definition of a positive entrance
+ edge angle.
+
+\item[E2]
+ Exit edge angle (\si{\radian}). \figref{sbend} shows the definition of a positive exit edge angle.
+
+\item[DESIGNENERGY]
+ Energy of the bend reference particle (\si{\mega\electronvolt}). The reference particle travels approximately the path shown in
+ \figref{sbend}.
+
+\item[FMAPFN]
+ Name of the field map for the magnet. Currently maps of type \texttt{1DProfile1} can
+ be used \seesec{1DProfile1}. The default option for this attribute is \keyword{FMAPN} =
+ ``\keyword{1DPROFILE1-DEFAULT}'' \seessec{benddefaultfieldmapopalt}. The field map is used to
+ describe the fringe fields of the magnet \seesec{1DProfile1}.
+
+\end{kdescription}
+
+\clearpage
+
+\subsection{RBend and SBend Examples (\opalt)}
+\label{ssec:RBendSBendExamp}
+Describing an \keyword{RBEND} or an \keyword{SBEND} in an \opalt simulation requires effectively identical commands.
+There are only slight differences between the two. The \keyword{L} attribute has a different definition for the two
+types of bends \seessec{RBend,SBend}, and an \keyword{SBEND} has an additional
+attribute \keyword{E2} that has no effect on an \keyword{RBEND}, see \ssecref{SBend}.
+Therefore, in this section, we will give several examples of how to implement a bend, using the
+\keyword{RBEND} and \keyword{SBEND} commands interchangeably. The understanding is that the command formats are
+essentially the same.
+
+When implementing an \keyword{RBEND} or \keyword{SBEND} in an \opalt simulation, it is important to note the following:
+
+\begin{enumerate}
+\item Internally \opalt treats all bends as positive, as defined by \figref{rbend,sbend}.
+ Bends in other directions within the x/y plane are accomplished by rotating a positive bend
+ about its z axis.
+\item If the \keyword{ANGLE} attribute is set to a non-zero value, the \keyword{K0} and \keyword{K0S} attributes
+ will be ignored.
+\item When using the \keyword{ANGLE} attribute to define a bend, the actual beam will be bent through
+ a different angle if its mean kinetic energy doesn't correspont to the \keyword{DESIGNENERGY}.
+\item Internally the bend geometry is setup based on the ideal reference trajectory, as shown in
+ \figref{rbend,sbend}.\item If the default field map, ``\keyword{1DPROFILE-DEFAULT}''
+ \seessec{benddefaultfieldmapopalt}, is used, the fringe fields will be adjusted
+ so that the effective length of the real, soft edge magnet matches the ideal, hard edge bend that is
+ defined by the reference trajectory.
+\end{enumerate}
+
+For the rest of this section, we will give several examples of how to input bends in an \opalt
+simulation. We will start with a simple example using the
+\keyword{ANGLE} attribute to set the bend strength and using the default field map \seessec{benddefaultfieldmapopalt}
+ for describing the magnet fringe fields \seesec{1DProfile1}:
+
+\begin{example}
+Bend: RBend, ANGLE = 30.0 * Pi / 180.0,
+ FMAPFN = "1DPROFILE1-DEFAULT",
+ ELEMEDGE = 0.25,
+ DESIGNENERGY = 10.0,
+ L = 0.5,
+ GAP = 0.02;
+\end{example}
+This is a definition of a simple \keyword{RBEND} that bends the beam in a positive direction 30 degrees (towards
+the negative x axis as if \figref{rbend}). It has a design energy of \SI{10}{\mega\electronvolt}, a length of \SI{0.5}{\meter}, a
+vertical gap of \SI{2}{\centi\meter} and a \SI{0}{\degree} entrance edge angle. (Therefore the exit edge angle is \SI{30}{\degree}.) We are
+using the default, internal field map ``1DPROFILE1-DEFAULT'' \seessec{benddefaultfieldmapopalt}
+ which describes the magnet fringe fields \seesec{1DProfile1}. When \opal is run, you will
+get the following output (assuming an electron beam) for this \keyword{RBEND} definition:
+
+\begin{example}
+RBend > Reference Trajectory Properties
+RBend > ===============================
+RBend >
+RBend > Bend angle magnitude: 0.523599 rad (30 degrees)
+RBend > Entrance edge angle: 0 rad (0 degrees)
+RBend > Exit edge angle: 0.523599 rad (30 degrees)
+RBend > Bend design radius: 1 m
+RBend > Bend design energy: 1e+07 eV
+RBend >
+RBend > Bend Field and Rotation Properties
+RBend > ==================================
+RBend >
+RBend > Field amplitude: -0.0350195 T
+RBend > Field index (gradient): 0 m^-1
+RBend > Rotation about x axis: 0 rad (0 degrees)
+RBend > Rotation about y axis: 0 rad (0 degrees)
+RBend > Rotation about z axis: 0 rad (0 degrees)
+RBend >
+RBend > Reference Trajectory Properties Through Bend Magnet with Fringe Fields
+RBend > ======================================================================
+RBend >
+RBend > Reference particle is bent: 0.523599 rad (30 degrees) in x plane
+RBend > Reference particle is bent: 0 rad (0 degrees) in y plane
+\end{example}
+The first section of this output gives the properties of the reference trajectory like that described in
+\figref{rbend}. From the value of \keyword{ANGLE} and the length, \keyword{L}, of the magnet, \opal
+calculates the \SI{10}{\mega\electronvolt} reference particle trajectory radius, \texttt{R}. From the bend geometry and the
+entrance angle (\SI{0}{\degree} in this case), the exit angle is calculated.
+
+The second section gives the field amplitude of the bend and its gradient (quadrupole focusing component),
+given the particle charge ($-e$ in this case so the amplitude is negative to get a positive bend direction).
+Also listed is the rotation of the magnet about the various axes.
+
+Of course, in the actual simulation the particles will not see a hard edge bend magnet, but rather a soft
+edge magnet with fringe fields described by the \keyword{RBEND} field map file \keyword{FMAPFN} \seesec{1DProfile1}.
+So, once the hard edge bend/reference trajectory is determined, \opal
+then includes the fringe fields in the calculation. When the user chooses to use the default field map,
+\opal will automatically adjust the position of the fringe fields appropriately so that the soft edge magnet
+is equivalent to the hard edge magnet described by the reference trajectory. To check that this was done
+properly, \opal integrates the reference particle through the final magnet description with the fringe fields
+included. The result is shown in the final part of the output. In this case we see that the soft edge bend
+does indeed bend our reference particle through the correct angle.
+
+What is important to note from this first example, is that it is this final part of the bend output that
+tells you the actual bend angle of the reference particle.
+
+In this next example, we merely rewrite the first example, but use \keyword{K0} to set the field strength
+of the \keyword{RBEND}, rather than the \keyword{ANGLE} attribute:
+
+\begin{example}
+Bend: RBend, K0 = -0.0350195,
+ FMAPFN = "1DPROFILE1-DEFAULT",
+ ELEMEDGE = 0.25,
+ DESIGNENERGY = 10.0E6,
+ L = 0.5,
+ GAP = 0.02;
+\end{example}
+The output from \opal now reads as follows:
+
+\begin{example}
+RBend > Reference Trajectory Properties
+RBend > ===============================
+RBend >
+RBend > Bend angle magnitude: 0.523599 rad (30 degrees)
+RBend > Entrance edge angle: 0 rad (0 degrees)
+RBend > Exit edge angle: 0.523599 rad (30 degrees)
+RBend > Bend design radius: 0.999999 m
+RBend > Bend design energy: 1e+07 eV
+RBend >
+RBend > Bend Field and Rotation Properties
+RBend > ==================================
+RBend >
+RBend > Field amplitude: -0.0350195 T
+RBend > Field index (gradient): 0 m^-1
+RBend > Rotation about x axis: 0 rad (0 degrees)
+RBend > Rotation about y axis: 0 rad (0 degrees)
+RBend > Rotation about z axis: 0 rad (0 degrees)
+RBend >
+RBend > Reference Trajectory Properties Through Bend Magnet with Fringe Fields
+RBend > ======================================================================
+RBend >
+RBend > Reference particle is bent: 0.5236 rad (30.0001 degrees) in x plane
+RBend > Reference particle is bent: 0 rad (0 degrees) in y plane
+\end{example}
+The output is effectively identical, to within a small numerical error.
+
+Now, let us modify this first example so that we bend instead in the negative x direction. There are several
+ways to do this:
+
+\begin{enumerate}
+\item
+\begin{example}
+Bend: RBend, ANGLE = -30.0 * Pi / 180.0,
+ FMAPFN = "1DPROFILE1-DEFAULT",
+ ELEMEDGE = 0.25,
+ DESIGNENERGY = 10.0E6,
+ L = 0.5,
+ GAP = 0.02;
+\end{example}
+\item
+\begin{example}
+Bend: RBend, ANGLE = 30.0 * Pi / 180.0,
+ FMAPFN = "1DPROFILE1-DEFAULT",
+ ELEMEDGE = 0.25,
+ DESIGNENERGY = 10.0E6,
+ L = 0.5,
+ GAP = 0.02,
+ ROTATION = Pi;
+\end{example}
+\item
+\begin{example}
+Bend: RBend, K0 = 0.0350195,
+ FMAPFN = "1DPROFILE1-DEFAULT",
+ ELEMEDGE = 0.25,
+ DESIGNENERGY = 10.0E6,
+ L = 0.5,
+ GAP = 0.02;
+\end{example}
+\item
+\begin{example}
+Bend: RBend, K0 = -0.0350195,
+ FMAPFN = "1DPROFILE1-DEFAULT",
+ ELEMEDGE = 0.25,
+ DESIGNENERGY = 10.0E6,
+ L = 0.5,
+ GAP = 0.02,
+ ROTATION = Pi;
+\end{example}
+\end{enumerate}
+In each of these cases, we get the following output for the bend (to within small numerical errors).
+
+\begin{example}
+RBend > Reference Trajectory Properties
+RBend > ===============================
+RBend >
+RBend > Bend angle magnitude: 0.523599 rad (30 degrees)
+RBend > Entrance edge angle: 0 rad (0 degrees)
+RBend > Exit edge angle: 0.523599 rad (30 degrees)
+RBend > Bend design radius: 1 m
+RBend > Bend design energy: 1e+07 eV
+RBend >
+RBend > Bend Field and Rotation Properties
+RBend > ==================================
+RBend >
+RBend > Field amplitude: -0.0350195 T
+RBend > Field index (gradient): -0 m^-1
+RBend > Rotation about x axis: 0 rad (0 degrees)
+RBend > Rotation about y axis: 0 rad (0 degrees)
+RBend > Rotation about z axis: 3.14159 rad (180 degrees)
+RBend >
+RBend > Reference Trajectory Properties Through Bend Magnet with Fringe Fields
+RBend > ======================================================================
+RBend >
+RBend > Reference particle is bent: -0.523599 rad (-30 degrees) in x plane
+RBend > Reference particle is bent: 0 rad (0 degrees) in y plane
+\end{example}
+In general, we suggest to always define a bend in the positive x
+direction (as in \figref{rbend}) and then use the \keyword{ROTATION} attribute to bend in other
+directions in the x/y plane (as in examples 2 and 4 above).
+
+As a final \keyword{RBEND} example, here is a suggested format for the four bend definitions if one where implementing
+a four dipole chicane:
+
+\begin{example}
+Bend1: RBend, ANGLE = 20.0 * Pi / 180.0,
+ E1 = 0.0,
+ FMAPFN = "1DPROFILE1-DEFAULT",
+ ELEMEDGE = 0.25,
+ DESIGNENERGY = 10.0E6,
+ L = 0.25,
+ GAP = 0.02,
+ ROTATION = Pi;
+
+Bend2: RBend, ANGLE = 20.0 * Pi / 180.0,
+ E1 = 20.0 * Pi / 180.0,
+ FMAPFN = "1DPROFILE1-DEFAULT",
+ ELEMEDGE = 1.0,
+ DESIGNENERGY = 10.0E6,
+ L = 0.25,
+ GAP = 0.02,
+ ROTATION = 0.0;
+
+Bend3: RBend, ANGLE = 20.0 * Pi / 180.0,
+ E1 = 0.0,
+ FMAPFN = "1DPROFILE1-DEFAULT",
+ ELEMEDGE = 1.5,
+ DESIGNENERGY = 10.0E6,
+ L = 0.25,
+ GAP = 0.02,
+ ROTATION = 0.0;
+
+Bend4: RBend, ANGLE = 20.0 * Pi / 180.0,
+ E1 = 20.0 * Pi / 180.0
+ FMAPFN = "1DPROFILE1-DEFAULT",
+ ELEMEDGE = 2.25,
+ DESIGNENERGY = 10.0E6,
+ L = 0.25,
+ GAP = 0.02,
+ ROTATION = Pi;
+\end{example}
+
+Up to now, we have only given examples of \keyword{RBEND} definitions. If we replaced ``RBend'' in the above
+examples with ``SBend'', we would still be defining valid \opalt bends. In fact, by adjusting the \keyword{L}
+attribute according to \ssecref{RBend,SBend}, and by adding the appropriate
+definitions of the \keyword{E2} attribute, we could even get identical results using \keyword{SBEND}s instead of
+\keyword{RBEND}s. (As we said, the two bends are very similar in command format.)
+
+Up till now, we have only used the default field map. Custom field maps can also be used. There are two
+different options in this case \seesec{1DProfile1}:
+
+\begin{enumerate}
+\item Field map defines fringe fields and magnet length.
+\item Field map defines fringe fields only.
+\end{enumerate}
+The first case describes how field maps were used in previous versions of \opal (and can still be used in
+the current version). The second option is new to \opal \opalversion{1.2.00} and it has a couple of advantages:
+
+\begin{enumerate}
+\item Because only the fringe fields are described, the length of the magnet must be set using the \keyword{L}
+ attribute. In turn, this means that the same field map can be used by many bend magnets with different
+ lengths (assuming they have equivalent fringe fields). By contrast, if the magnet length is set by the
+ field map, one must generate a new field map for each dipole of different length even if the fringe fields are the
+ same.
+\item We can adjust the position of the fringe field origin relative to the entrance and exit points of the
+ magnet \seesec{1DProfile1}. This gives us another degree
+ of freedom for describing the fringe fields, allowing us to adjust the effective length of the magnet.
+\end{enumerate}
+
+We will now give examples of how to use a custom field map, starting with the first case where the field
+map describes the fringe fields and the magnet length. Assume we have the following \texttt{1DProfile1} field
+map:
+
+\begin{example}
+1DProfile1 1 1 2.0
+ -10.0 0.0 10.0 1
+ 15.0 25.0 35.0 1
+ 0.00000E+00
+ 2.00000E+00
+ 0.00000E+00
+ 2.00000E+00
+\end{example}
+We can use this field map to define the following bend (note we are now using the \keyword{SBEND} command):
+
+\begin{example}
+Bend: SBend, ANGLE = 60.0 * Pi / 180.0,
+ E1 = -10.0 * Pi / 180.0,
+ E2 = 20.0 Pi / 180.0,
+ FMAPFN = "TEST-MAP.T7",
+ ELEMEDGE = 0.25,
+ DESIGNENERGY = 10.0E6,
+ GAP = 0.02;
+\end{example}
+\textbf{Notice that we do not set the magnet length using the \keyword{L} attribute.} (In fact, we don't even
+include it. If we did and set it to a non-zero value, the exit fringe fields of the magnet would not be correct.)
+This input gives the following output:
+
+\begin{example}
+SBend > Reference Trajectory Properties
+SBend > ===============================
+SBend >
+SBend > Bend angle magnitude: 1.0472 rad (60 degrees)
+SBend > Entrance edge angle: -0.174533 rad (-10 degrees)
+SBend > Exit edge angle: 0.349066 rad (20 degrees)
+SBend > Bend design radius: 0.25 m
+SBend > Bend design energy: 1e+07 eV
+SBend >
+SBend > Bend Field and Rotation Properties
+SBend > ==================================
+SBend >
+SBend > Field amplitude: -0.140385 T
+SBend > Field index (gradient): 0 m^-1
+SBend > Rotation about x axis: 0 rad (0 degrees)
+SBend > Rotation about y axis: 0 rad (0 degrees)
+SBend > Rotation about z axis: 0 rad (0 degrees)
+SBend >
+SBend > Reference Trajectory Properties Through Bend Magnet with Fringe Fields
+SBend > ======================================================================
+SBend >
+SBend > Reference particle is bent: 1.0472 rad (60 degrees) in x plane
+SBend > Reference particle is bent: 0 rad (0 degrees) in y plane
+\end{example}
+Because we set the bend strength using the \keyword{ANGLE} attribute, the magnet field strength is automatically
+adjusted so that the reference particle is bent exactly \keyword{ANGLE} radians when the fringe fields are included.
+(Lower output.)
+
+Now we will illustrate the case where the magnet length is set by the \keyword{L} attribute and only the fringe
+fields are described by the field map. We change the \filename{TEST-MAP.T7} file to:
+\begin{example}
+1DProfile1 1 1 2.0
+ -10.0 0.0 10.0 1
+ -10.0 0.0 10.0 1
+ 0.00000E+00
+ 2.00000E+00
+ 0.00000E+00
+ 2.00000E+00
+\end{example}
+and change the bend input to:
+
+\begin{example}
+Bend: SBend, ANGLE = 60.0 * Pi / 180.0,
+ E1 = -10.0 * Pi / 180.0,
+ E2 = 20.0 Pi / 180.0,
+ FMAPFN = "TEST-MAP.T7",
+ ELEMEDGE = 0.25,
+ DESIGNENERGY = 10.0E6,
+ L = 0.25,
+ GAP = 0.02;
+\end{example}
+This results in the same output as the previous example, as we expect.
+
+\begin{example}
+SBend > Reference Trajectory Properties
+SBend > ===============================
+SBend >
+SBend > Bend angle magnitude: 1.0472 rad (60 degrees)
+SBend > Entrance edge angle: -0.174533 rad (-10 degrees)
+SBend > Exit edge angle: 0.349066 rad (20 degrees)
+SBend > Bend design radius: 0.25 m
+SBend > Bend design energy: 1e+07 eV
+SBend >
+SBend > Bend Field and Rotation Properties
+SBend > ==================================
+SBend >
+SBend > Field amplitude: -0.140385 T
+SBend > Field index (gradient): 0 m^-1
+SBend > Rotation about x axis: 0 rad (0 degrees)
+SBend > Rotation about y axis: 0 rad (0 degrees)
+SBend > Rotation about z axis: 0 rad (0 degrees)
+SBend >
+SBend > Reference Trajectory Properties Through Bend Magnet with Fringe Fields
+SBend > ======================================================================
+SBend >
+SBend > Reference particle is bent: 1.0472 rad (60 degrees) in x plane
+SBend > Reference particle is bent: 0 rad (0 degrees) in y plane
+\end{example}
+
+As a final example, let us now use the previous field map with the following input:
+
+\begin{example}
+Bend: SBend, K0 = -0.1400778,
+ E1 = -10.0 * Pi / 180.0,
+ E2 = 20.0 Pi / 180.0,
+ FMAPFN = "TEST-MAP.T7",
+ ELEMEDGE = 0.25,
+ DESIGNENERGY = 10.0E6,
+ L = 0.25,
+ GAP = 0.02;
+\end{example}
+Instead of setting the bend strength using \keyword{ANGLE}, we use \keyword{K0}. This results in the following output:
+
+\begin{example}
+SBend > Reference Trajectory Properties
+SBend > ===============================
+SBend >
+SBend > Bend angle magnitude: 1.0472 rad (60 degrees)
+SBend > Entrance edge angle: -0.174533 rad (-10 degrees)
+SBend > Exit edge angle: 0.349066 rad (20 degrees)
+SBend > Bend design radius: 0.25 m
+SBend > Bend design energy: 1e+07 eV
+SBend >
+SBend > Bend Field and Rotation Properties
+SBend > ==================================
+SBend >
+SBend > Field amplitude: -0.140078 T
+SBend > Field index (gradient): 0 m^-1
+SBend > Rotation about x axis: 0 rad (0 degrees)
+SBend > Rotation about y axis: 0 rad (0 degrees)
+SBend > Rotation about z axis: 0 rad (0 degrees)
+SBend >
+SBend > Reference Trajectory Properties Through Bend Magnet with Fringe Fields
+SBend > ======================================================================
+SBend >
+SBend > Reference particle is bent: 1.04491 rad (59.8688 degrees) in x plane
+SBend > Reference particle is bent: 0 rad (0 degrees) in y plane
+\end{example}
+In this case, the bend angle for the reference trajectory in the first section of the output
+no longer matches the reference trajectory bend angle from the lower section (although the difference is small).
+The reason is that the path of the reference particle through the real magnet (with fringe fields) no longer
+matches the ideal trajectory. (The effective length of the real magnet is not quite the same as the hard
+edged magnet for the reference trajectory.)
+
+We can compensate for this by changing the field map file \filename{TEST-MAP.T7} file to:
+\begin{example}
+1DProfile1 1 1 2.0
+ -10.0 -0.03026 10.0 1
+ -10.0 0.03026 10.0 1
+ 0.00000E+00
+ 2.00000E+00
+ 0.00000E+00
+ 2.00000E+00
+\end{example}
+We have moved the Enge function origins \seesec{1DProfile1} outward from the entrance
+and exit faces of the magnet \seesec{1DProfile1} by 0.3026 mm. This has the effect of making the
+effective length of the soft edge magnet longer. When we do this, the same input:
+
+\begin{example}
+Bend: SBend, K0 = -0.1400778,
+ E1 = -10.0 * Pi / 180.0,
+ E2 = 20.0 Pi / 180.0,
+ FMAPFN = "TEST-MAP.T7",
+ ELEMEDGE = 0.25,
+ DESIGNENERGY = 10.0E6,
+ L = 0.25,
+ GAP = 0.02;
+\end{example}
+produces
+
+\begin{example}
+SBend > Reference Trajectory Properties
+SBend > ===============================
+SBend >
+SBend > Bend angle magnitude: 1.0472 rad (60 degrees)
+SBend > Entrance edge angle: -0.174533 rad (-10 degrees)
+SBend > Exit edge angle: 0.349066 rad (20 degrees)
+SBend > Bend design radius: 0.25 m
+SBend > Bend design energy: 1e+07 eV
+SBend >
+SBend > Bend Field and Rotation Properties
+SBend > ==================================
+SBend >
+SBend > Field amplitude: -0.140078 T
+SBend > Field index (gradient): 0 m^-1
+SBend > Rotation about x axis: 0 rad (0 degrees)
+SBend > Rotation about y axis: 0 rad (0 degrees)
+SBend > Rotation about z axis: 0 rad (0 degrees)
+SBend >
+SBend > Reference Trajectory Properties Through Bend Magnet with Fringe Fields
+SBend > ======================================================================
+SBend >
+SBend > Reference particle is bent: 1.0472 rad (60 degrees) in x plane
+SBend > Reference particle is bent: 0 rad (0 degrees) in y plane
+\end{example}
+Now we see that the bend angle for the ideal, hard edge magnet, matches the bend angle of the
+reference particle through the soft edge magnet. In other words, the effective length of the soft edge,
+ real magnet is the same as the hard edge magnet described by the reference trajectory.
+
+\subsection{Bend Fields from 1D Field Maps (\opalt)}
+\label{ssec:opaltrbendsbendfields}
+
+\begin{figure}[tbh]
+\begin{center}
+\includegraphics[width=\textwidth]{figures/Elements/Enge-func-plot.png}
+\end{center}
+\caption{Plot of the entrance fringe field of a dipole magnet along the mid-plane, perpendicular to its entrance face. The field is normalized to 1.0. In this case, the fringe field is described by an Enge function \seeeqn{enge_func} with the parameters from the default \texttt{1DProfile1} field map described in \ssecref{benddefaultfieldmapopalt}. The exit fringe field of this magnet is the mirror image.}
+\label{fig:rbend_enge_fringe}
+\end{figure}
+
+So far we have described how to setup an \keyword{RBEND} or \keyword{SBEND} element, but have not explained how \opalt uses this information to calculate the magnetic field. The field of both types of magnets is divided into three regions:
+\begin{enumerate}
+\item Entrance fringe field.
+\item Central field.
+\item Exit fringe field.
+\end{enumerate}
+This can be seen clearly in \figref{rbend_field_profile}.
+
+The purpose of the \texttt{1DProfile1} field map \seesec{1DProfile1} associated with the element is to define the Enge functions (\eqnref{enge_func}) that model the entrance and exit fringe fields. To model a particular bend magnet, one must fit the field profile along the mid-plane of the magnet perpendicular to its face for the entrance and exit fringe fields to the Enge function:
+
+\begin{equation}\label{eq:enge_func}
+ F(z) = \frac{1}{1 + e^{\sum\limits_{n=0}^{N_{order}} c_{n} (z/D)^{n}}}
+\end{equation}
+where $D$ is the full gap of the magnet, $N_{order}$ is the Enge function order and $z$ is the distance from the origin
+of the Enge function perpendicular to the edge of the dipole. The origin of the Enge function, the order of the Enge function, $N_{order}$, and the constants $c_0$ to $c_{N_{order}}$ are free parameters that are chosen so that the function closely approximates the fringe region of the magnet being modeled. An example of the entrance fringe field is shown in \figref{rbend_enge_fringe}.
+
+Let us assume we have a correctly defined positive \keyword{RBEND} or \keyword{SBEND} element as illustrated in \figref{rbend,sbend}. (As already stated, any bend can be described by a rotated positive bend.) \opalt then has the following information:
+\begin{align*}
+B_0 &= \text{Field amplitude (T)} \\
+R &= \text{Bend radius (m)} \\
+n &= -\frac{R}{B_{y}}\diffp{B_y}{x} \text{ (Field index, set using the parameter \keyword{K1})} \\
+F(z) &= \left\{
+\begin{array}{lll}
+ & F_{entrance}(z_{entrance}) \\
+ & F_{center}(z_{center}) = 1 \\
+ & F_{exit}(z_{exit})
+\end{array}
+\right.
+\end{align*}
+Here, we have defined an overall Enge function, $F(z)$, with three parts: entrance, center and exit. The exit and entrance fringe field regions have the form of \eqnref{enge_func} with parameters defined by the \texttt{1DProfile1} field map file given by the element parameter \keyword{FMAPFN}. Defining the coordinates:
+
+\begin{align*}
+y &\equiv \text{Vertical distance from magnet mid-plane} \\
+\Delta_x &\equiv \text{Perpendicular distance to reference trajectory (see \figref{rbend,sbend})} \\
+\Delta_z &\equiv \left\{
+\begin{array}{lll}
+ & \text{Distance from entrance Enge function origin perpendicular to magnet entrance face.} \\
+ & \text{Not defined, Enge function is always 1 in this region.} \\
+ & \text{Distance from exit Enge function origin perpendicular to magnet exit face.}
+\end{array}
+\right.
+\end{align*}
+using the conditions
+
+\begin{align*}
+\nabla \cdot \overrightarrow{B} &= 0 \\
+\nabla \times \overrightarrow{B} &= 0
+\end{align*}
+and making the definitions:
+
+\begin{align*}
+F'(z) &\equiv \diff{F(z)}{z} \\
+F''(z) &\equiv \diff[2]{F(z)}{z} \\
+F'''(z) &\equiv \diff[3]{F(z)}{z}
+\end{align*}
+we can expand the field off axis, with the result:
+
+\begin{align*}
+B_x(\Delta_x, y, \Delta_z) &= -\frac{B_0 \frac{n}{R}}{\sqrt{\frac{n^2}{R^2} + \frac{F''(\Delta_z)}{F(\Delta_z}}} e^{-\frac{n}{R} \Delta_x} \sin \left[ \left( \sqrt{\frac{n^2}{R^2} + \frac{F''(\Delta_z)}{F(\Delta_z)}} \right) y \right] F(\Delta_z) \\
+B_y(\Delta_x, y, \Delta_z) &= B_0 e^{-\frac{n}{R} \Delta_x} \cos \left[ \left( \sqrt{\frac{n^2}{R^2} + \frac{F''(\Delta_z)}{F(\Delta_z)}} \right) y \right] F(\Delta_z) \\
+B_z(\Delta_x, y, \Delta_z) &= B_0 e^{-\frac{n}{R} \Delta_x} \left\{\frac{F'(\Delta_z)}{\sqrt{\frac{n^2}{R^2} + \frac{F''(\Delta_z)}{F(\Delta_z)}}} \sin \left[ \left( \sqrt{\frac{n^2}{R^2} + \frac{F''(\Delta_z)}{F(\Delta_z)}} \right) y \right] \right. \\
+&- \frac{1}{2 \sqrt{\frac{n^2}{R^2} + \frac{F''(\Delta_z)}{F(\Delta_z)}}} \left(F'''(\Delta_z) - \frac{F'(\Delta_z) F''(\Delta_z)}{F(\Delta_z)} \right) \left[ \frac{\sin \left[ \left( \sqrt{\frac{n^2}{R^2} + \frac{F''(\Delta_z)}{F(\Delta_z)}} \right) y \right]}{\frac{n^2}{R^2} + \frac{F''(\Delta_z)}{F(\Delta_z)}} \right. \\
+&- \left. \left. y \frac{\cos \left[ \left( \sqrt{\frac{n^2}{R^2} + \frac{F''(\Delta_z)}{F(\Delta_z)}} \right) y \right]}{\sqrt{\frac{n^2}{R^2} + \frac{F''(\Delta_z)}{F(\Delta_z)}}} \right] \right\}
+\end{align*}
+These expression are not well suited for numerical calculation, so, we expand them about $y$ to $O(y^2)$ to obtain:
+
+\begin{itemize}
+\item In fringe field regions:
+\begin{align*}
+B_x(\Delta_x, y, \Delta_z) &\approx -B_0 \frac{n}{R} e^{-\frac{n}{R} \Delta_x} y \\
+B_y(\Delta_x, y, \Delta_z) &\approx B_0 e^{-\frac{n}{R} \Delta_x} \left[ F(\Delta_z) - \left( \frac{n^2}{R^2} F(\Delta_z) + F''(\Delta_z) \right) \frac{y^2}{2} \right] \\
+B_z(\Delta_x, y, \Delta_z) &\approx B_0 e^{-\frac{n}{R} \Delta_x} y F'(\Delta_z)
+\end{align*}
+\item In central region:
+\begin{align*}
+B_x(\Delta_x, y, \Delta_z) &\approx -B_0 \frac{n}{R} e^{-\frac{n}{R} \Delta_x} y \\
+B_y(\Delta_x, y, \Delta_z) &\approx B_0 e^{-\frac{n}{R} \Delta_x} \left[ 1 - \frac{n^2}{R^2} \frac{y^2}{2} \right] \\
+B_z(\Delta_x, y, \Delta_z) &\approx 0
+\end{align*}
+\end{itemize}
+These are the expressions \opalt uses to calculate the field inside an \keyword{RBEND} or \keyword{SBEND}. First, a particle's position inside the bend is determined (entrance region, center region, or exit region). Depending on the region, \opalt then determines the values of $\Delta_x$, $y$ and $\Delta_z$, and then calculates the field values using the above expressions.
+
+\subsection{Default Field Map (\opalt)}
+\label{ssec:benddefaultfieldmapopalt}
+\index{RBEND!Default Field Map}
+\index{SBEND!Default Field Map}
+\index{Default Field Map}
+\index{1DPROFILE1-DEFAULT}
+Rather than force users to calculate the field of a dipole and then fit that field to find Enge coefficients
+for the dipoles in their simulation, we have a default set of values we use from \cite{enge} that are set
+when the default field map, ``\keyword{1DPROFILE1-DEFAULT}'' is used:
+
+\begin{align*}
+ c_{0} &= 0.478959 \\
+ c_{1} &= 1.911289 \\
+ c_{2} &= -1.185953 \\
+ c_{3} &= 1.630554 \\
+ c_{4} &= -1.082657 \\
+ c_{5} &= 0.318111
+\end{align*}
+The same values are used for both the entrance and exit regions of the magnet. In general they will
+give good results. (Of course, at some point as a beam line design becomes more advanced, one will want to find
+Enge coefficients that fit the actual magnets that will be used in a given design.)
+
+The default field map is the equivalent of the following custom \texttt{1DProfile1} (see \secref{1DProfile1} for an explanation of the field map format) map:
+
+\begin{example}
+1DProfile1 5 5 2.0
+ -10.0 0.0 10.0 1
+ -10.0 0.0 10.0 1
+ 0.478959
+ 1.911289
+ -1.185953
+ 1.630554
+ -1.082657
+ 0.318111
+ 0.478959
+ 1.911289
+ -1.185953
+ 1.630554
+ -1.082657
+ 0.318111
+\end{example}
+As one can see, the default magnet gap for ``\keyword{1DPROFILE1-DEFAULT'}'' is set to \SI{2.0}{\centi\meter}. This value
+can be overridden by the \keyword{GAP} attribute of the magnet (see \ssecref{RBend,SBend}).
+
+\clearpage
+
+\subsection{SBend3D (OPAL-CYCL)} \label{ssec:SBend3D}
+\index{SBEND3D}
+% NOTE: SBEND3D, RINGDEFINITION in elements.tex and \ubsection {3D fieldmap} in
+% opalcycl.tex all refer to each other - if updating one check for update on
+% others to keep them consistent.
+The SBend3D element enables definition of a bend from 3D field maps. This can be
+used in conjunction with the \keyword{RINGDEFINITION} element to make a ring for
+tracking through \opalcycl.
+
+\begin{example}
+label: SBEND3D, FMAPFN=string, LENGTH_UNITS=real, FIELD_UNITS=real;
+\end{example}
+
+\begin{kdescription}
+\item[FMAPFN]
+ The field map file name.
+\item[LENGTH\_UNITS]
+ Units for length (set to 1.0 for units in mm, 10.0 for units in cm, etc).
+\item[FIELD\_UNITS]
+ Units for field (set to 1.0 for units in T, 0.001 for units in mT, etc).
+\end{kdescription}
+
+Field maps are defined using Cartesian coordinates but in a polar geometry with the following restrictions/conventions:
+\begin{enumerate}
+\item 3D Field maps have to be generated in the vertical direction (z coordinate in \opalcycl) from z = 0 upwards. It cannot be generated symmetrically about z = 0 towards negative z values.
+\item Field map file must be in the form with columns ordered as follows: [$x, z, y, B_{x}, B_{z}, B_{y}$].
+\item Grid points of the position and field strength have to be written on a grid in ($r, z, \theta$) with the primary direction corresponding to the azimuthal direction, secondary to the vertical direction and tertiary to the radial direction.
+\end{enumerate}
+
+Below two examples of a \keyword{SBEND3D} which loads a field maps with different units. The \texttt{triplet} example has units of cm and fields units
+of Gauss, where the \texttt{Dipole} example (\figref{sbend3d1}) uses meter and Tesla. The first 8 lines in the field map are ignored.
+
+\begin{example}
+triplet: SBEND3D, FMAPFN="fdf-tosca-field-map.table", LENGTH_UNITS=10., FIELD_UNITS=-1e-4;
+\end{example}
+
+The first few links of the field map \filename{fdf-tosca-field-map.table}:
+
+\begin{example}
+ 422280 422280 422280 1
+ 1 X [LENGU]
+ 2 Y [LENGU]
+ 3 Z [LENGU]
+ 4 BX [FLUXU]
+ 5 BY [FLUXU]
+ 6 BZ [FLUXU]
+ 0
+ 194.01470 0.0000000 80.363520 0.68275932346E-07 -5.3752492577 0.28280706805E-07
+ 194.36351 0.0000000 79.516210 0.42525693524E-07 -5.3827955117 0.17681348191E-07
+ 194.70861 0.0000000 78.667380 0.19766168358E-07 -5.4350026348 0.82540823165E-08
+.....
+\end{example}
+
+\begin{example}
+Dipole:SBEND3D,FMAPFN="90degree_Dipole_Magnet.out",LENGTH_UNITS=1000.0, FIELD_UNITS=-10.0;
+\end{example}
+The first few links of the field map \filename{90degree\_Dipole\_Magnet.out}:
+\begin{example}
+ 4550000 4550000 4550000 1
+X [LENGTH_UNITS]
+Z [LENGTH_UNITS]
+Y [LENGTH_UNITS]
+BX [FIELD_UNITS]
+BZ [FIELD_UNITS]
+BY [FIELD_UNITS]
+0
+4.3586435e-01 5.0000000e-02 1.2803431e+00 0.0000000e+00 1.6214000e+00 0.0000000e+00
+4.2691532e-01 5.0000000e-02 1.2833548e+00 0.0000000e+00 1.6214000e+00 0.0000000e+00
+4.1794548e-01 5.0000000e-02 1.2863039e+00 0.0000000e+00 1.6214000e+00 0.0000000e+00
+...
+\end{example}
+
+
+This is a restricted feature: \opalcycl.
+
+\begin{figure}[tb]
+\begin{center}
+\includegraphics[width=0.58\textwidth]{figures/Elements/sbend3d-1}
+\includegraphics[width=0.4\textwidth]{figures/Elements/sbend3d-2}
+\end{center}
+\caption{A hard edge model of $90$ degree dipole magnet with homogeneous magnetic field. The right figure
+is showing the horizontal cross section of the 3D magnetic field map when $z = 0$}
+\label{fig:sbend3d1}
+\end{figure}
+\index{Bending Magnets|)}
+
+
+
+\clearpage
+\section{Quadrupole}
+\label{sec:quadrupole}
+\index{QUADRUPOLE}
+\begin{example}
+label:QUADRUPOLE, TYPE=string, APERTURE=real-vector,
+ L=real, K1=real, K1S=real;
+\end{example}
+
+The reference system for a quadrupole is a Cartesian coordinate system
+\ifthenelse{\boolean{ShowMap}}{\seefig{straight}}{}. This is a restricted feature: \noopalcycl.
+
+A \keyword{QUADRUPOLE} has three real attributes:
+\begin{kdescription}
+\item[K1]
+ The normal quadrupole component $K_1=\diffp{B_y}{x}$.
+ The default is $\SI{0}{\tesla\per\meter}$.
+ The component is positive, if $B_y$ is positive on the positive $x$-axis.
+ This implies horizontal focusing of positively charged particles which
+ travel in positive $s$-direction.\\
+
+\item[K1S]
+ The skew quadrupole component. $K_{1s}=-\diffp{B_x}{x}$.
+ The default is $\SI{0}{\tesla\per\meter}$.
+ The component is negative, if $B_x$ is positive on the positive $x$-axis.\\
+\end{kdescription}
+
+\noindent Example:
+\begin{example}
+QP1: Quadrupole, L=1.20, ELEMEDGE=-0.5265,
+ FMAPFN="1T1.T7", K1=0.11;
+\end{example}
+
+
+
+
+\clearpage
+\section{Sextupole}
+\label{sec:sextupole}
+\index{SEXTUPOLE}
+\begin{example}
+label: SEXTUPOLE, TYPE=string, APERTURE=real-vector,
+ L=real, K2=real, K2S=real;
+\end{example}
+A \keyword{SEXTUPOLE} has three real attributes:
+\begin{kdescription}
+\item[K2]
+ The normal sextupole component
+ $K_2=\diffp[2]{B_y}{x}$.
+ The default is $\SI{0}{\tesla\per\square\meter}$.
+ The component is positive, if $B_y$ is positive on the $x$-axis.
+\item[K2S]
+ The skew sextupole component
+ $K_{2s}=-\diffp[2]{B_x}{x}$.
+ The default is $\SI{0}{\tesla\per\square\meter}$.
+ The component is negative, if $B_x$ is positive on the $x$-axis.
+\end{kdescription}
+\noindent Example:
+\begin{example}
+S:SEXTUPOLE, L=0.4, K2=0.00134;
+\end{example}
+The reference system for a sextupole is a Cartesian coordinate system
+\ifthenelse{\boolean{ShowMap}}{\seefig{straight}}{}.
+
+
+\clearpage
+\section{Octupole}
+\label{sec:octupole}
+\index{OCTUPOLE}
+\begin{example}
+label:OCTUPOLE, TYPE=string, APERTURE=real-vector,
+ L=real, K3=real, K3S=real;
+\end{example}
+An \keyword{OCTUPOLE} has three real attributes:
+\begin{kdescription}
+\item[K3]
+ The normal sextupole component
+ $K_3=\diffp[3]{B_y}{x}$.
+ The default is $\SI{0}{\tesla\meter\tothe{-3}}$.
+ The component is positive, if $B_y$ is positive on the positive $x$-axis.
+\item[K3S]
+ The skew sextupole component
+ $K_{3s}=-\diffp[3]{B_x}{x}$.
+% $K_{3s}=\frac{1}{B \rho}\diffp[3]{B_x}{x}$.
+ The default is $\SI{0}{\tesla\meter\tothe{-3}}$.
+ The component is negative, if $B_x$ is positive on the positive $x$-axis.
+\end{kdescription}
+\noindent Example:
+\begin{example}
+O3:OCTUPOLE, L=0.3, K3=0.543;
+\end{example}
+The reference system for an octupole is a Cartesian coordinate system
+\ifthenelse{\boolean{ShowMap}}{\seefig{straight}}{}.
+
+\clearpage
+\section{General Multipole}
+\label{sec:multipole}
+\index{MULTIPOLE}
+A \keyword{MULTIPOLE} is in \opalt is of arbitrary order.
+\begin{example}
+label:MULTIPOLE, TYPE=string, APERTURE=real-vector,
+ L=real, KN=real-vector, KS=real-vector;
+\end{example}
+\begin{kdescription}
+\item[KN]
+ A real vector \seesec{anarray},
+ containing the normal multipole coefficients,
+ $K_n=\diffp[n]{B_y}{x}$
+ (default is $\SI{0}{\tesla\meter\tothe{-n}}$).
+ A component is positive, if $B_y$ is positive on the positive $x$-axis.
+\item[KS]
+ A real vector \seesec{anarray},
+ containing the skew multipole coefficients,
+ $K_{n~s}=-\diffp[n]{B_x}{x}$
+ (default is $\SI{0}{\tesla\meter\tothe{-n}}$).
+ A component is negative, if $B_x$ is positive on the positive $x$-axis.
+\end{kdescription}
+The order $n$ is unlimited, but all components up to the maximum must be given, even if they are zero.
+The number of poles of each component is ($2 n + 2$).
+
+Superposition of many multipole components is permitted.
+The reference system for a multipole is a Cartesian coordinate system
+\ifthenelse{\boolean{ShowMap}}{\seefig{straight}}{}.\\
+
+\noindent The following example is equivalent to the quadruple example in \secref{quadrupole}.
+\begin{example}
+M27:MULTIPOLE, L=1, ELEMEDGE=3.8, KN={0.0,0.11};
+\end{example}
+A multipole has no effect on the reference orbit, i.e. the reference system at its exit is the same as at its entrance. Use the dipole component only to model a defective multipole.
+%If it includes a dipole component,
+%it has the same effect on the reference orbit as a \keyword{SBEND}
+%with the same length and deflection angle \texttt{KN*L}.
+
+%\clearpage
+\clearpage
+\section{Solenoid}
+\label{sec:solenoid}
+\index{SOLENOID}
+\begin{example}
+label:SOLENOID, TYPE=string, APERTURE=real-vector,
+ L=real, KS=real;
+\end{example}
+A \keyword{SOLENOID} has two real attributes:
+\begin{kdescription}
+\item[KS]
+ The solenoid strength $K_s=\diffp{B_s}{s}$, default is $\SI{0}{\tesla\meter\tothe{-1}}$.
+ For positive \keyword{KS} and positive particle charge,
+ the solenoid field points in the direction of increasing $s$.
+\end{kdescription}
+The reference system for a solenoid is a Cartesian coordinate system
+\ifthenelse{\boolean{ShowMap}}{\seefig{straight}}{}. Using a solenoid in \opalt mode, the following additional parameters are defined:
+\begin{kdescription}
+\item[FMAPFN]
+ Field maps must be specified.
+\end{kdescription}
+\noindent Example:
+\begin{example}
+SP1: Solenoid, L=1.20, ELEMEDGE=-0.5265, KS=0.11,
+ FMAPFN="1T1.T7";
+\end{example}
+
+\clearpage
+\section{Cyclotron}
+\label{sec:cyclotron}
+\index{CYCLOTRON}
+\begin{example}
+label:CYCLOTRON, TYPE=string, CYHARMON=int,
+ PHIINIT=real, PRINIT=real, RINIT=real,
+ SYMMETRY=real, RFFREQ=real, FMAPFN=string;
+\end{example}
+A \keyword{CYCLOTRON} object includes the main characteristics of a cyclotron, the magnetic field,
+ and also the initial condition of the injected reference particle, and it has currently the following attributes:
+\begin{kdescription}
+\item[TYPE]
+ The data format of field map, Currently three formats are implemented:
+ CARBONCYCL, CYCIAE, AVFEQ, FFAG, BANDRF and default PSI format.
+ For the details of their data format, please read \secref{opalcycl:fildmap}.
+\item[CYHARMON]
+ The harmonic number of the cyclotron $h$.
+\item[RFFREQ]
+ The RF system $f_{rf}$ (unit:MHz, default: 0).
+ The particle revolution frequency $f_{rev}$ = $f_{rf}$ / $h$.
+\item[FMAPFN]
+ File name for the magnetic field map.
+\item[SYMMETRY]
+ Defines symmetrical fold number of the B field map data.
+\item[RINIT]
+ The initial radius of the reference particle (unit: mm, default: 0)
+\item[PHIINIT]
+ The initial azimuth of the reference particle (unit: degree, default: 0)
+\item[ZINIT]
+ The initial axial position of the reference particle (unit: mm, default: 0)
+\item[PRINIT]
+ Initial radial momentum of the reference particle $P_r=\beta_r\gamma$ (default : 0)
+\item[PZINIT]
+ Initial axial momentum of the reference particle $P_z=\beta_z\gamma$ (default : 0)
+\item[MINZ]
+ The minimal vertical extent of the machine (unit: mm, default : -10000.0)
+\item[MAXZ]
+ The maximal vertical extent of the machine (unit: mm, default : 10000.0)
+\item[MINR]
+ Minimal radial extent of the machine (unit: mm, default : 0.0)
+\item[MAXR]
+ Minimal radial extent of the machine (unit: mm, default : 10000.0)
+\end{kdescription}
+During the tracking, the particle ($r, z, \theta$) will be deleted if MINZ $< z <$ MAXZ or MINR $< r <$ MAXR, and it will be recorded in the ASCII file \filename{\textless inputfilename\textgreater.loss}.
+\noindent Example:
+\begin{example}
+ring: Cyclotron, TYPE="RING", CYHARMON=6, PHIINIT=0.0,
+ PRINIT=-0.000240, RINIT=2131.4 , SYMMETRY=8.0,
+ RFFREQ=50.650, FMAPFN="s03av.nar",
+ MAXZ=10, MINZ=-10, MINR=0, MAXR=2500;
+\end{example}
+
+If TYPE is set to BANDRF, the 3D electric field map of RF cavity will be read from external h5part file and 4 extra arguments need to specified:
+\begin{kdescription}
+\item[RFMAPFN]
+The file name for the electric field map in h5part binary format.
+\item[RFPHI]
+ The Initial phase of the electric field map (rad)
+\item[ESCALE]
+ The maximal value of the electric field map (MV/m)
+\item[SUPERPOSE]
+An option whether all of the electric field maps are superposed, The is valid when more than one electric field map is read. (default: true)
+\end{kdescription}
+\noindent Example for single electric field map:
+\begin{example}
+COMET: Cyclotron, TYPE="BANDRF", CYHARMON=2, PHIINIT= -71.0,
+PRINIT=pr0, RINIT= r0 , SYMMETRY=1.0, FMAPFN="Tosca_map.txt",
+RFPHI=Pi, RFFREQ=72.0, RFMAPFN="efield.h5part",
+ESCALE=1.06E-6;
+\end{example}
+We can have more than one RF field maps.
+
+\noindent Example for multiple RF field maps:
+\begin{example}
+COMET: Cyclotron, TYPE="BANDRF", CYHARMON=2, PHIINIT=-71.0,
+PRINIT=pr0, RINIT=r0 , SYMMETRY=1.0, FMAPFN="Tosca_map.txt",
+RFPHI= {Pi,0,Pi,0}, RFFREQ={72.0,72.0,72.0,72.0},
+RFMAPFN={"e1.h5part","e2.h5part","e3.h5part","e4.h5part"},
+ESCALE={1.06E-6, 3.96E-6,1.3E-6,1.E-6}, SUPERPOSE=true;
+\end{example}
+In this example SUPERPOSE is set to true. Therefore, if a particle locates in multiple field regions, all the field maps are superposed.
+if SUPERPOSE is set to false, then only one field map, which has highest priority, is used to do interpolation for the particle tracking.
+The priority ranking is decided by their sequence in the list of RFMAPFN argument, i.e., "e1.h5hart" has the highest priority and "e4.h5hart" has the lowest priority.
+
+Another method to model an RF cavity is to read the RF voltage profile in the
+RFCAVITY element \seesec{cavity} and make a momentum kick when a
+particle crosses the RF gap. In the center region of the compact cyclotron, the
+electric field shape is complicated and may make a significant impact on
+transverse beam dynamics. Hence a simple momentum kick is not enough and we need
+to read 3D field map to do precise simulation. \\
+
+In additions, the simplified trim-coil field model is also implemented so as to
+do fine tuning on the magnetic field. A trim-coil can be defined by 4 arguments:
+\begin{kdescription}
+\item[TCR1]
+ The inner radius of the trim coil (mm)
+\item[TCR2]
+ The outer radius of the trim coil (mm)
+\item[MBTC]
+ The maximal B field of trim coil (kG)
+\item[SLPTC]
+ The slope of the rising edge (kG/mm)
+\end{kdescription}
+This is a restricted feature: \opalcycl.
+
+\clearpage
+\section{Ring Definition}
+\label{sec:ringdefinition}
+\index{Ring Definition}
+% NOTE: SBEND3D, RINGDEFINITION in elements.tex and \ubsection {3D fieldmap} in
+% opalcycl.tex all refer to each other - if updating one check for update on
+% others to keep them consistent.
+
+\begin{example}
+label: RINGDEFINITION,
+ RFFREQ=real, HARMONIC_NUMBER=real, IS_CLOSED=string, SYMMETRY=int,
+ LAT_RINIT=real, LAT_PHIINIT=real, LAT_THETAINIT=real,
+ BEAM_PHIINIT=real, BEAM_PRINIT=real, BEAM_RINIT=real;
+\end{example}
+
+A \keyword{RingDefinition} object contains the main characteristics of a
+generalized ring. The \keyword{RingDefinition} lists characteristics of the
+entire ring such as harmonic number together with the position of the initial
+element and the position of the reference trajectory.
+
+The \keyword{RingDefinition} can be used in combination with \keyword{SBEND3D},
+offsets and \keyword{VARIABLE\_RF\_CAVITY} elements to make up a complete ring.
+
+\begin{kdescription}
+\item[RFFREQ]
+Nominal RF frequency of the ring [\si{\mega\hertz}].
+
+\item[HARMONIC\_NUMBER]
+The harmonic number of the ring - i.e. number of bunches in a single pass.
+
+\item[SYMMETRY]
+Azimuthal symmetry of the ring. Ring elements will be placed repeatedly
+\keyword{SYMMETRY} times.
+
+\item[IS\_CLOSED]
+Set to \keyword{FALSE} to disable checking for ring closure.
+
+\item[LAT\_RINIT]
+Radius of the first element placement in the lattice [\si{\milli\meter}].
+
+\item[LAT\_PHIINIT]
+Azimuthal angle of the first element placed in the lattice [degree].
+
+\item[LAT\_THETAINIT]
+Angle in the mid-plane relative to the ring tangent for placement of the first
+element [degree].
+
+\item[BEAM\_RINIT]
+Initial radius of the reference trajectory [\si{\milli\meter}].
+
+\item[BEAM\_PHIINIT]
+Initial azimuthal angle of the reference trajectory [degree].
+
+\item[BEAM\_PRINIT]
+Transverse momentum $\beta \gamma$ for the reference trajectory.
+\end{kdescription}
+
+In the following example, we define a ring with radius 2.35 m and 4 cells.
+\begin{example}
+ringdef: RINGDEFINITION, HARMONIC_NUMBER=6, LAT_RINIT=2350.0, LAT_PHIINIT=0.0,
+ LAT_THETAINIT=0.0, BEAM_PHIINIT=0.0, BEAM_PRINIT=0.0,
+ BEAM_RINIT=2266.0, SYMMETRY=4.0, RFFREQ=0.2;
+\end{example}
+
+\subsection{Local Cartesian Offset}
+\index{Ring Definition!Local Cartesian Offset}
+The \keyword{LOCAL\_CARTESIAN\_OFFSET} enables the user to place an object at an
+arbitrary position in the coordinate system of the preceding element. This
+enables drift spaces and placement of overlapping elements.
+\begin{kdescription}
+\item[END\_POSITION\_X] x position of the next element start in the
+coordinate system of the preceding element [\si{\milli\meter}].
+\item[END\_POSITION\_Y] y position of the next element start in the
+coordinate system of the preceding element [\si{\milli\meter}].
+\item[END\_NORMAL\_X] x component of the normal vector defining the placement of
+the next element in the coordinate system of the preceding element.
+\item[END\_NORMAL\_Y] y component of the normal vector defining the placement of
+the next element in the coordinate system of the preceding element.
+\end{kdescription}
+
+\clearpage
+\section{Source}
+\label{sec:source}
+\index{SOURCE}
+This element only works in \opalt. It's only purpose in \opalt is to indicate that the particle source is contained in the beamline. This is needed to place the elements in three-dimensional space when using \keyword{ELEMEDGE}. Otherwise it has no effect on the particles.
+
+\clearpage
+\section{RF Cavities (\opalt and \opalcycl)}
+\label{sec:cavity}
+\index{RFCAVITY}
+\index{Cavity}
+For an \keyword{RFCAVITY} the three modes have four real attributes in common:
+\begin{example}
+label:RFCAVITY, APERTURE=real-vector, L=real,
+ VOLT=real, LAG=real;
+\end{example}
+\begin{kdescription}
+\item[L]
+ The length of the cavity (default: 0~m)
+\item[VOLT]
+ The peak RF voltage (default: 0~MV).
+ The effect of the cavity is
+ $\delta E=\text{\keyword{VOLT}}\cdot\sin(2\pi(\text{\keyword{LAG}}-\text{\keyword{HARMON}}\cdot f_0 t))$.
+\item[LAG]
+ The phase lag [\si{\radian}] (default: 0).
+\end{kdescription}
+
+
+\subsection{\opalt mode}
+\label{sec:cavity-t}
+Using a RF Cavity in \opalt mode, the following additional parameters are defined:
+\begin{kdescription}
+\item[FMAPFN]
+ Field maps in the \filename{T7} format can be specified.
+\item[TYPE]
+ Type specifies STANDING [default] or SINGLE GAP structures.
+\item[FREQ]
+ Defines the frequency of the RF Cavity in units of MHz. A warning is issued when the frequency of
+ the cavity card does not correspond to the frequency defined in the FMAPFN file. The frequency of
+ the cavity card overrides the frequency defined in the FMAPFN file.
+\item[APVETO]
+ If \keyword{TRUE} this cavity will not be auto-phased, instead the actual phase on the element is used.
+ \end{kdescription}
+\noindent Example standing wave cavity which mimics a DC gun:
+\begin{example}
+gun: RFCavity, L=0.018, VOLT=-131/(1.052*2.658),
+ FMAPFN="1T3.T7", ELEMEDGE=0.00,
+ TYPE="STANDING", FREQ=1.0e-6;
+\end{example}
+\noindent Example of a two frequency standing wave cavity:
+\begin{example}
+rf1: RFCavity, L=0.54, VOLT=19.961, LAG=193.0/360.0,
+ FMAPFN="1T3.T7", ELEMEDGE=0.129, TYPE="STANDING",
+ FREQ=1498.956;
+rf2: RFCavity, L=0.54, VOLT=6.250, LAG=136.0/360.0,
+ FMAPFN="1T4.T7", ELEMEDGE=0.129, TYPE="STANDING",
+ FREQ=4497.536;
+\end{example}
+
+\subsection{\opalcycl mode}
+\label{sec:cavity-cycl}
+Using a RF Cavity (standing wave) in \opalcycl mode, the following parameters are defined:
+\begin{kdescription}
+\item[FMAPFN]
+ Defines name of file which stores normalized voltage amplitude curve of cavity gap in ASCII format.
+ (See data format in \secref{opalcycl:fildmap})
+ \item[VOLT]
+ Sets peak value of voltage amplitude curve in MV.
+ \item[TYPE]
+ Defines Cavity type, SINGLEGAP represents cyclotron type cavity.
+ \item[FREQ]
+ Sets the frequency of the RF Cavity in units of MHz.
+ \item[RMIN]
+ Sets the radius of the cavity inner edge in mm.
+ \item[RMAX]
+ Sets the radius of the cavity outer edge in mm.
+
+ \item[ANGLE]
+ Sets the azimuthal position of the cavity in global frame in degree.
+
+ \item[PDIS]
+ Set shift distance of cavity gap from center of cyclotron in mm. If its value is positive,
+ the shift direction is clockwise, namely, shift towards the smaller azimuthal angle.
+
+ \item[GAPWIDTH]
+ Set gap width of cavity in mm.
+
+ \item[PHI0]
+ Set initial phase of cavity in degree.
+
+\end{kdescription}
+
+\noindent Example of a RF cavity of cyclotron:
+\begin{example}
+rf0: RFCavity, VOLT=0.25796, FMAPFN="Cav1.dat",
+ TYPE="SINGLEGAP", FREQ=50.637, RMIN = 350.0,
+ RMAX = 3350.0, ANGLE=35.0, PDIS = 0.0,
+ GAPWIDTH = 0.0, PHI0=phi01;
+\end{example}
+
+\figref{Cyclotron_cavity} shows the simplified geometry of a cavity gap and its parameters.
+
+\begin{figure}[hbt]
+ \centering\includegraphics[scale=0.6]{./figures/cyclotron/Cavity.pdf}
+ \caption{Schematic of the simplified geometry of a cavity gap and parameters}
+ \label{fig:Cyclotron_cavity}
+\end{figure}
+
+\clearpage
+\section{RF Cavities with Time Dependent Parameters}
+\label{sec:variable-rf-cavity-cycl}
+\index{RFCavity!Variable}
+\index{Cavity!Variable}
+The \keyword{VARIABLE\_RF\_CAVITY} element can be used to define RF Cavities with
+Time Dependent Parameters in \opalcycl mode. Variable RF Cavities must be
+placed using the \keyword{RingDefinition} element.
+\begin{kdescription}
+\item[FREQUENCY\_MODEL]
+ String naming the time dependence model of the cavity frequency, $f$ [\si{\giga\hertz}].
+\item[AMPLITUDE\_MODEL]
+ String naming the time dependence model of the cavity amplitude, $E_0$ [\si{\mega\volt/\meter}].
+\item[PHASE\_MODEL]
+ String naming the time dependence model of the cavity phase offset, $\phi$.
+\item[WIDTH]
+ Full width of the cavity [\si{\milli\meter}].
+ \item[HEIGHT]
+ Full height of the cavity [\si{\milli\meter}].
+ \item[L]
+ Full length of the cavity [\si{\milli\meter}].
+\end{kdescription}
+The field inside the cavity is given by
+\begin{equation}
+\vec{E} = \big(0, 0, E_0(t)\sin[2\pi f(t) t+\phi(t)]\big)
+\end{equation}
+with no field outside the cavity boundary. There is no magnetic field or
+transverse dependence on electric field.
+
+\subsection{Time Dependence}
+\label{sec:polynomial-time-dependence}
+\index{RFCavity!Time Dependence}
+\index{Cavity!Time Dependence}
+The \keyword{POLYNOMIAL\_TIME\_DEPENDENCE} element is used to define time dependent
+parameters in RF cavities in terms of a \engordnumber{4} order polynomial.
+\begin{kdescription}
+\item[P0]
+ Constant term in the polynomial expansion.
+\item[P1]
+ First order term in the polynomial expansion [ns$^{-1}$].
+\item[P2]
+ Second order term in the polynomial expansion [ns$^{-2}$].
+ \item[P3]
+ Third order term in the polynomial expansion [ns$^{-3}$].
+ %% \item[P4]
+ %% Fourth order term in the polynomial expansion [ns$^{-4}$].
+\end{kdescription}
+The polynomial is evaluated as
+\begin{equation}
+g(t) = p_0 + p_1 t + p_2 t^2 + p_3 t^3 %% + p_4 t^4
+.
+\end{equation}
+
+An example of a Variable Frequency RF cavity of cyclotron with polynomial
+time dependence of parameters is given below:
+\begin{example}
+phi=2.*PI*0.25;
+
+rf_p0=0.00158279;
+rf_p1=9.02542e-10;
+rf_p2=-1.96663e-16;
+rf_p3=2.45909e-23;
+
+RF_FREQUENCY: POLYNOMIAL_TIME_DEPENDENCE, P0=rf_p0, P1=rf_p1, P2=rf_p2, P3=rf_p3;
+RF_AMPLITUDE: POLYNOMIAL_TIME_DEPENDENCE, P0=1.0;
+RF_PHASE: POLYNOMIAL_TIME_DEPENDENCE, P0=phi;
+
+RF_CAVITY: VARIABLE_RF_CAVITY, PHASE_MODEL="RF_PHASE", AMPLITUDE_MODEL="RF_AMPLITUDE",
+ FREQUENCY_MODEL="RF_FREQUENCY", L=100., HEIGHT=200., WIDTH=2000.;
+\end{example}
+
+\clearpage
+\section{Traveling Wave Structure}
+\label{sec:travelingwave}
+\index{TRAVELINGWAVE}
+
+%======================FIGURE===============================
+\begin{figure}[tb]
+\centering
+\includegraphics[width=0.7\textwidth]{./figures/traveling-wave-structure/FINSB-RAC-field.png}
+\caption[The on-axis field of an S-band \keyword{TRAVELINGWAVE} structure]{The on-axis field of an S-band (2997.924~MHz) \keyword{TRAVELINGWAVE} structure.
+ The field of a single cavity is shown between its entrance and exit fringe fields.
+ The fringe fields extend one half wavelength ($\lambda/2$) to either side.}
+\label{fig:FINSB-RAC-field}
+\end{figure}
+%===========================================================
+
+\begin{figure}[hbt]
+ \centering
+\end{figure}
+
+An example of a 1D \keyword{TRAVELINGWAVE} structure field map is shown in \figref{FINSB-RAC-field}.
+This map is a standing wave solution generated by Superfish and shows the field on axis for a single accelerating cavity with
+the fringe fields of the structure extending to either side. \opalt reads in this field map and constructs the total field of the
+\keyword{TRAVELINGWAVE} structure in three parts: the entrance fringe field, the structure fields and the exit fringe field.
+
+The fringe fields are treated as standing wave structures and are given by:
+\begin{equation*}
+ \begin{aligned}
+ \vec{E_{entrance}}(\vec{r}, t) &= \vec{E_{from-map}}(\vec{r}) \cdot \text{\keyword{VOLT}} \cdot \cos \left( 2\pi \cdot \text{\keyword{FREQ}} \cdot t
+ + \phi_{entrance} \right) \\
+ \vec{E_{exit}}(\vec{r}, t) &= \vec{E_{from-map}}(\vec{r}) \cdot \text{\keyword{VOLT}} \cdot \cos \left( 2\pi \cdot \text{\keyword{FREQ}} \cdot t
+ + \phi_{exit} \right)
+ \end{aligned}
+\end{equation*}
+where VOLT and FREQ are the field magnitude and frequency attributes (see below).
+$ \phi_{entrance}= \text{\keyword{LAG}}$, the phase attribute of the element (see below). $ \phi_{exit} $ is dependent upon both LAG and the NUMCELLS
+attribute (see below) and is calculated internally by \opalt.
+
+The field of the main accelerating structure is reconstructed from the center section of the standing wave solution shown in
+\figref{FINSB-RAC-field} using
+
+\begin{equation*}
+ \begin{split}
+ \vec{E} ( \vec{r},t ) &= \frac{\text{\keyword{VOLT}}}{\sin (2 \pi \cdot \text{\keyword{MODE}})} \\
+ &\phantom{=}
+ \times \Biggl\{ \vec{E_{from-map}} (x,y,z) \cdot \cos \biggl( 2 \pi \cdot \text{\keyword{FREQ}} \cdot t + \text{\keyword{LAG}}+ \frac{\pi}{2} \cdot \text{\keyword{MODE}} \Bigr) \\
+ &\phantom{= \times \Biggl\{}
+ + \vec{E_{from-map}}(x,y,z+d) \cdot \cos \biggl( 2 \pi \cdot \text{\keyword{FREQ}} \cdot t + \text{\keyword{LAG}} + \frac{3 \pi}{2} \cdot \text{\keyword{MODE}} \Bigr) \Biggr\}
+ \end{split}
+\end{equation*}
+where d is the cell length and is defined as $\text{d} = \lambda \cdot \text{\keyword{MODE}} $. MODE is an attribute of the element (see below).
+When calculating the field from the map ($\vec{E_{from-map}}(x,y,z)$), the longitudinal position is referenced to the start of the cavity fields
+at $\frac{\lambda}{2}$ (In this case starting at $z = \SI{5.0}{\centi\meter}$). If the longitudinal position advances past the end of the cavity map
+($\frac{3\lambda}{2} = \SI{15.0}{\centi\meter}$ in this example), an integer number of cavity wavelengths is subtracted from the position until it is back
+within the map's longitudinal range.
+
+A \keyword{TRAVELINGWAVE} structure has seven real attributes, one integer attribute, one string attribute and one Boolean attribute:
+\begin{example}
+label:TRAVELINGWAVE, APERTURE=real-vector, L=real,
+ VOLT=real, LAG=real, FMAPFN=string,
+ ELEMEDGE=real, FREQ=real, NUMCELLS=integer,
+ MODE=real;
+\end{example}
+
+\begin{kdescription}
+\item[L]
+ The length of the cavity (default: 0~m). In \opalt this attribute is ignored, the length is defined by the field map and the number of cells.
+\item[VOLT]
+ The peak RF voltage (default: 0~MV).
+ The effect of the cavity is
+ $\delta E=\text{\keyword{VOLT}}\cdot\sin(\text{\keyword{LAG}}- 2\pi\cdot\text{\keyword{FREQ}}\cdot t)$.
+\item[LAG]
+ The phase lag [\si{\radian}] (default: 0).
+\item[FMAPFN]
+ Field maps in the \filename{T7} format can be specified.
+\item[FREQ]
+ Defines the frequency of the traveling wave structure in units of MHz. A warning is issued when the frequency of
+ the cavity card does not correspond to the frequency defined in the FMAPFN file. The frequency defined in the FMAPFN
+ file overrides the frequency defined on the cavity card.
+\item[NUMCELLS]
+ Defines the number of cells in the tank. (The cell count should not include the entry and exit half cell fringe fields.)
+\item[MODE]
+Defines the mode in units of $2\pi$, for example $\frac{1}{3}$ stands for a $\frac{2 \pi}{3}$ structure.
+\item[FAST]
+If FAST is true and the provided field map is in 1D then a 2D field map is constructed from the 1D on-axis field, see \secref{fieldmaps}. To track the particles the field values are interpolated from this map instead of using an FFT based algorithm for each particle and each step. (default: FALSE)
+\item[APVETO]
+ If \keyword{TRUE} this cavity will not be auto-phased, instead the actual phase on the element is used.
+\end{kdescription}
+
+\noindent Use of a traveling wave requires the particle momentum \texttt{P}
+and the particle charge \keyword{CHARGE} to be set on the relevant
+optics command before any calculations are performed.
+\\\\
+\noindent Example of a L-Band traveling wave structure:
+\begin{example}
+lrf0: TravelingWave, L=0.0253, VOLT=14.750,
+ NUMCELLS=40, ELEMEDGE=2.73066,
+ FMAPFN="INLB-02-RAC.Ez", MODE=1/3,
+ FREQ=1498.956, LAG=248.0/360.0;
+\end{example}
+
+
+
+
+\clearpage
+\section{Monitor}
+\label{sec:monitor}
+\index{MONITOR}
+ A \keyword{MONITOR} detects all particles passing it and writes the position, the momentum and the time when they hit it into an H5hut file. Furthermore the exact position of the monitor is stored. It has always a length of \SI{1}{\centi\meter} consisting of \SI{0.5}{\centi\meter} drift, the monitor of zero length and another \SI{0.5}{\centi\meter} drift. This is to prevent \opalt from missing any particle. The positions of the particles on the monitor are interpolated from the current position and momentum one step before they would passe the monitor.
+\begin{kdescription}
+\item[OUTFN]
+ The file name into which the monitor should write the collected data. The file is an H5hut file.
+\end{kdescription}
+
+If the attribute \keyword[sec:Element:common]{TYPE} is set to \keyword{TEMPORAL} then the data of all particles are written to the H5hut file when the reference particle hits the monitor.
+
+This is a restricted feature: \noopalcycl.
+
+%\section{Gun}
+%\label{sec:gun}
+%\index{gun}
+%The gun uses the defined distribution \seechp{distribution} and emits particles for a given duration (eventually defined
+%by the laser duration). The temperature is defined by the parameters on the distribution command.
+
+%\begin{example}
+%g1:GUN, TYPE=string, TEMISSION=real, L=real, EMISSIONSLICES=real;
+%\end{example}
+%The gun has beside the standard attribute TYPE, four more attributes:
+%\begin{kdescription}
+%\item[L]
+% The gun length (default: 0~m).
+%\item[TEMISSION]
+% The time-span at which emission occurs (default: 0~sec).
+%\item[EMISSIONSLICES]
+% How many emission slices we consider (default: 0).
+%\end{kdescription}
+
+%\noindent Example:
+%\begin{example}
+%G1:GUN, L=6.0E-3, TEMISSION= 36E-12, EMISSIONSLICES=360;
+%\end{example}
+%The reference system for a gun is a Cartesian coordinate system
+%\ifthenelse{\boolean{ShowMap}}{ \seeref{straight}}{}.
+
+
+\clearpage
+\section{Collimators}
+\label{sec:collimators}
+\index{Collimators|(}
+Three types of collimators are defined:
+\begin{kdescription}
+\item[ECOLLIMATOR]
+ \label{sec:ecollimator}
+ Elliptic aperture,
+\item[RCOLLIMATOR]
+ \label{sec:rcollimator}
+ Rectangular aperture.
+\item[CCOLLIMATOR]
+ \index{CCOLLIMATOR}
+ Radial rectangular collimator in cyclotrons
+
+\end{kdescription}
+\begin{example}
+label:ECOLLIMATOR, TYPE=string, APERTURE=real-vector,
+ L=real, XSIZE=real, YSIZE=real;
+label:RCOLLIMATOR,TYPE=string, APERTURE=real-vector,
+ L=real, XSIZE=real, YSIZE=real;
+\end{example}
+Either type has three real attributes:
+\begin{kdescription}
+\item[L]
+ The collimator length (default: 0~m).
+\item[XSIZE]
+ The horizontal half-aperture (default: unlimited).
+\item[YSIZE]
+ The vertical half-aperture (default: unlimited).
+\end{kdescription}
+For elliptic apertures,
+\keyword{XSIZE} and \keyword{YSIZE} denote the half-axes respectively,
+for rectangular apertures they denote the half-width of the rectangle.
+Optically a collimator behaves like a drift space, but during tracking,
+it also introduces an aperture limit.
+The aperture is checked at the entrance.
+If the length is not zero, the aperture is also checked at the exit.
+
+\noindent Example:
+\begin{example}
+COLLIM:ECOLLIMATOR, L=0.5, XSIZE=0.01, YSIZE=0.005;
+\end{example}
+The reference system for a collimator is a Cartesian coordinate system
+\ifthenelse{\boolean{ShowMap}}{\seefig{straight}}{}.
+
+
+\subsection{\opalt mode}
+ The \keyword{RCOLLIMATOR} and \keyword{CCOLLIMATOR} are not supported at the moment. A \keyword{ECOLLIMATOR} detects all particles which are outside the aperture defined by
+\keyword{XSIZE} and \keyword{YSIZE}. The lost particles are saved into an H5hut file defined by \keyword{OUTFN}. The \keyword{ELEMEDGE} defines the
+location of the collimator and \keyword{L} the length.
+\begin{kdescription}
+\item[OUTFN]
+ The file name into which the monitor should write the collected data. The file is an H5hut file.
+\end{kdescription}
+
+\noindent Example:
+\begin{example}
+Col:ECOLLIMATOR, L=1.0E-3, ELEMEDGE=3.0E-3, XSIZE=5.0E-4,
+ YSIZE=5.0E-4, OUTFN="Coll.h5";
+\end{example}
+
+
+\subsection{\opalcycl mode}
+
+Only \keyword{CCOLLIMATOR} is available for \opalcycl. This element is radial rectangular collimator which can be used to collimate the radial tail particles.
+So when a particle hit this collimator, it will be absorbed or scattered, the algorithm is based on the Monte Carlo method .
+Pleased note when a particle is scattered, it will not be recorded as the lost particle.
+If this particle leave the bunch, it will be removed during the integration afterwards, so as to maintain the accuracy of space charge solving.
+
+\begin{kdescription}
+\item[XSTART]
+The x coordinate of the start point. [\si{\milli\meter}]
+ \item[XEND]
+The x coordinate of the end point. [\si{\milli\meter}]
+\item[YSTART]
+The y coordinate of the start point. [\si{\milli\meter}]
+ \item[YEND]
+The y coordinate of the end point. [\si{\milli\meter}]
+\item[ZSTART]
+The vertical coordinate of the start point [\si{\milli\meter}]. Default value is \SI{-100}{\milli\meter}.
+ \item[ZEND]
+The vertical coordinate of the end point. [\si{\milli\meter}]. Default value is \SI{-100}{\milli\meter}.
+\item[WIDTH]
+The width of the septum. [\si{\milli\meter}]
+ \item[SURFACEPHYSICS]
+\keyword{SURFACEPHYSICS} is an attribute of the element. Collimator physics is a only a kind of surfacephysics.
+ It can be applied to any element. If the type of \keyword{SURFACEPHYSICS} is \keyword{COLLIMATOR}, the material is defined here.
+ The material ``Cu", ``Be", ``Graphite" and ``Mo" are defined until now.
+ If this is not set, the surface physics module will not be activated.
+ The particle hitting collimator will be recorded and directly deleted from the simulation.
+\end{kdescription}
+
+\begin{tikzpicture}[scale=1.5,axis/.style={very thick, ->, >=stealth'}]
+ % Draw axes
+ \draw [->,thick] (1,-2.0) -- (1,2.0) node (yaxis) [above] {$y$};
+ \draw [->,thick] (-1.2,1.0) -- (4.0,1.0) node (xaxis) [right] {$x$};
+ \draw (3.5,-0.2) --(2.0,-1.5)
+ (2.0,-1.5) --(2.5,-2.0)
+ (2.5,-2.0) --(4.0,-0.7)
+ (4.0,-0.7) --(3.5,-0.2);
+ \fill[red] (2.25,-1.75) circle (1pt) node (start)[below] {(xstart,ystart)};
+ \fill[red] (3.75,-0.45) circle (1pt) node (end)[above] {(xend,yend)};;
+ \node (collimator) at (2.55,-0.55)[anchor=mid] {collimator};
+ \draw [<->,thick,blue] (2.75,-0.85)--(3.25,-1.35) node [right] {width};
+
+\end{tikzpicture}
+
+
+\noindent Example:
+\begin{example}
+y1=-0.0;
+y2=0.0;
+y3=200.0;
+y4=205.0;
+x1=-215.0;
+x2=-220.0;
+x3=0.0;
+x4=0.0;
+cmphys:surfacephysics, TYPE="Collimator", MATERIAL="Cu";
+cma1: CCollimator, XSTART=x1, XEND=x2,YSTART=y1, YEND=y2,
+ZSTART=2, ZEND=100, WIDTH=10.0, SURFACEPHYSICS=cmphys ;
+cma2: CCollimator, XSTART=x3, XEND=x4,YSTART=y3, YEND=y4,
+ ZSTART=2, ZEND=100, WIDTH=10.0, SURFACEPHYSICS=cmphys;
+\end{example}
+
+The particles lost on the CCOLLIMATOR are recorded in the ASCII file \filename{\textless inputfilename\textgreater.loss}
+\index{Collimators|)}
+
+\clearpage
+\section{Septum (\opalcycl)}
+\index{SEPTUM}
+This is a restricted feature: \noopalt.
+The particles hitting on the septum is removed from the bunch. There are 5 parameters to describe a septum.
+\begin{kdescription}
+\item[XSTART]
+The x coordinate of the start point. [\si{\milli\meter}]
+ \item[XEND]
+The x coordinate of the end point. [\si{\milli\meter}]
+\item[YSTART]
+The y coordinate of the start point. [\si{\milli\meter}]
+ \item[YEND]
+The y coordinate of the end point. [\si{\milli\meter}]
+\item[WIDTH]
+The width of the septum. [\si{\milli\meter}]
+\end{kdescription}
+
+\begin{tikzpicture}[scale=1.5,axis/.style={very thick, ->, >=stealth'}]
+ % Draw axes
+ \draw [->,thick] (1,-2.0) -- (1,2.0) node (yaxis) [above] {$y$};
+ \draw [->,thick] (-1.2,1.0) -- (4.0,1.0) node (xaxis) [right] {$x$};
+ \draw (3.5,-0.2) --(2.0,-1.5)
+ (2.0,-1.5) --(2.1,-1.6)
+ (2.1,-1.6) --(3.6,-0.3)
+ (3.6,-0.3) --(3.5,-0.2);
+ \fill[red] (2.05,-1.55) circle (1pt) node (start)[below] {(xstart,ystart)};
+ \fill[red] (3.55,-0.25) circle (1pt) node (end)[above] {(xend,yend)};;
+ \node (steptum) at (2.55,-0.55)[anchor=mid] {septum};
+ \draw [<->,thick,blue] (2.75,-0.85)--(2.85,-0.95) node [right] {width};
+
+\end{tikzpicture}
+
+\noindent Example:
+\begin{example}
+eec2: Septum, xstart=4100.0, xend=4300.0,
+ystart=-1200.0, yend=-150.0, width=0.05;
+\end{example}
+
+The particles lost on the SEPTUM are recorded in the ASCII file \filename{\textless input\_file\_name \textgreater.loss}.
+
+\clearpage
+\section{Probe (\opalcycl)}
+\index{PROBE}
+The particles hitting on the probe is recorded. There are 5 parameters to describe a probe.
+\begin{kdescription}
+\item[XSTART]
+The x coordinate of the start point. [\si{\milli\meter}]
+ \item[XEND]
+The x coordinate of the end point. [\si{\milli\meter}]
+\item[YSTART]
+The y coordinate of the start point. [\si{\milli\meter}]
+ \item[YEND]
+The y coordinate of the end point. [\si{\milli\meter}]
+\item[WIDTH]
+ The width of the probe, NOT used yet.
+\end{kdescription}
+
+\begin{tikzpicture}[scale=1.5,axis/.style={very thick, ->, >=stealth'}]
+ % Draw axes
+ \draw [->,thick] (0.5,-2.0) -- (0.5,2.0) node (yaxis) [above] {$y$};
+ \draw [->,thick] (-1.2,1.0) -- (4.0,1.0) node (xaxis) [right] {$x$};
+ \draw (1.5,-0.5) --(3.0,-1.5)
+ (3.0,-1.5) --(3.1,-1.4)
+ (3.1,-1.4) --(1.6,-0.4)
+ (1.6,-0.4) --(1.5,-0.5);
+ \fill[red] (1.55,-0.45) circle (1pt) node (start)[above] {(xstart,ystart)};
+ \fill[red] (3.05,-1.45) circle (1pt) node (end)[below] {(xend,yend)};;
+ \node (steptum) at (2.55,-0.55)[anchor=mid] {probe};
+ \draw [<->,thick,blue] (2.25,-1.0)--(2.35,-0.9) node [right] {width};
+\end{tikzpicture}
+
+\noindent Example:
+\begin{example}
+prob1: Probe, xstart=4166.16, xend=4250.0,
+ystart=-1226.85, yend=-1241.3;
+\end{example}
+The particles probed on the PROBE are recorded in the ASCII file \filename{\textless inputfilename\textgreater.loss}.
+Please note that these particles are not deleted in the simulation, however, they are recorded in the ``loss" file.
+
+
+\clearpage
+\section{Stripper (\opalcycl)}
+\index{STRIPPER}
+A stripper element strip the electron(s) from a particle. The particle hitting the stripper is recorded in the file,
+which contains the time, coordinates and momentum of the particle at the moment it hit the stripper.
+The charge and mass are changed. Its has the same geometry as the PROBE element.
+Please note that the stripping physics in not included yet.
+
+ There are 9 parameters to describe a stripper.
+\begin{kdescription}
+\item[XSTART]
+The x coordinate of the start point. [\si{\milli\meter}]
+ \item[XEND]
+The x coordinate of the end point. [\si{\milli\meter}]
+\item[YSTART]
+The y coordinate of the start point. [\si{\milli\meter}]
+ \item[YEND]
+The y coordinate of the end point. [\si{\milli\meter}]
+\item[WIDTH]
+ The width of the probe, NOT used yet.
+\item[OPCHARGE]
+Charge number of the out-coming particle. Negative value represents negative charge.
+\item[OPMASS]
+Mass of the out-coming particles. [\si{\giga\electronvolt/\clight\squared}]
+\item[OPYIELD]
+Yield of the out-coming particle (the outcome particle number per income particle) , the default value is 1.
+\item[STOP]
+If STOP is true, the particle is stopped and deleted from the simulation;
+Otherwise, the out-coming particle continues to be tracked along the extraction path.
+\end{kdescription}
+
+\noindent Example: $H_2^+$ particle stripping
+\begin{example}
+prob1: Stripper, xstart=4166.16, xend=4250.0,
+ystart=-1226.85, yend=-1241.3,
+opcharge=1, opmass=PMASS, opyield=2, stop=false;
+\end{example}
+
+No matter what the value of STOP is, the particles hitting on the STRIPPER are recorded in the ASCII file \filename{\textless inputfilename\textgreater.loss}.
+
+
+
+\clearpage
+\section{Degrader (\opalt)}
+\index{DEGRADER}
+Rectangular degrader with an overall length \keyword{L}.\\
+\begin{kdescription}
+\item[OUTFN]
+ \TODO{Describe attributes OUTFN}
+\item[XSIZE]
+\item[YSIZE]
+\end{kdescription}
+\noindent Example: Graphite degrader of \SI{15}{\centi\meter} thickness.
+\begin{example}
+DEGPHYS: SURFACEPHYSICS, TYPE="DEGRADER", MATERIAL="Graphite";
+
+DEG1: DEGRADER, L=0.15, ELEMEDGE=0.02, OUTFN="DEG1.h5", SURFACEPHYSICS=DEGPHYS;
+\end{example}
+
+
+
+\clearpage
+\section{Correctors (\opalt)}
+\label{sec:corrector}
+\index{Correctors}
+Three types of correctors are available:
+\begin{kdescription}
+\item[HKICKER]
+ \label{sec:hkicker}
+ A corrector for the horizontal plane.
+\item[VKICKER]
+ \label{sec:vkicker}
+ A corrector for the vertical plane.
+\item[KICKER]
+ \label{sec:kicker}
+ A corrector for both planes.
+\end{kdescription}
+They act as
+\begin{example}
+label:HKICKER, TYPE=string, APERTURE=real-vector,
+ L=real, KICK=real;
+label:VKICKER, TYPE=string, APERTURE=real-vector,
+ L=real, KICK=real;
+label:KICKER, TYPE=string, APERTURE=real-vector,
+ L=real, HKICK=real, VKICK=real;
+\end{example}
+They have the following attributes:
+\begin{kdescription}
+\item[L]
+ The length of the closed orbit corrector (default: 0~m).
+\item[KICK]
+ The kick angle in \si{\radian} for either horizontal or vertical correctors
+ (default: \SI{0}{\radian}).
+\item[HKICK]
+ The horizontal kick angle in \si{\radian} for a corrector in both planes
+ (default: \SI{0}{\radian}).
+\item[VKICK]
+ The vertical kick angle in \si{\radian} for a corrector in both planes
+ (default: \SI{0}{\radian}).
+\end{kdescription}
+A positive kick increases $p_{x}$ or $p_{y}$
+respectively. Use \keyword{KICK} for an \keyword{HKICKER} or \keyword{VKICKER} and \keyword{HKICK} and \keyword{VKICK} for a \keyword{KICKER}. Instead of using a \keyword{KICKER} or a \keyword{VKICKER} one could use an \keyword{HKICKER} and rotate it appropriately using \keyword[sec:Element:common]{PSI}.
+
+Correctors don't change the reference trajectory. Otherwise they are implemented as \keyword{RBEND} with $\texttt{E1} = 0$ and without fringe fields (hard edge model). They can be used to model earth's magnetic field which is neglected in the design trajectory but which has a noticable effect on the trajectory of a bunch at low energies.
+
+\noindent Examples:
+\begin{example}
+HK1:HKICKER, KICK=0.001;
+VK3:VKICKER, KICK=0.0005;
+KHV:KICKER, HKICK=0.001, VKICK=0.0005;
+\end{example}
+The reference system for an orbit corrector is a Cartesian coordinate system.
+\index{Elements|)}
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/errors.tex b/doc/user_guide/errors.tex
new file mode 100755
index 0000000000000000000000000000000000000000..e47524c181e5b2f0d196811090a3943abe7db69b
--- /dev/null
+++ b/doc/user_guide/errors.tex
@@ -0,0 +1,525 @@
+%=================================================
+%=================================================
+%
+% WARNING: NOT USED IN opal_user_guide.tex
+%
+%=================================================
+%=================================================
+
+\chapter{Error Definitions}
+\label{chp:error}
+\index{Imperfections}
+\index{Errors|(}
+Please note Error Definitions are not yet supported in \noopalt and \noopalcycl.
+\section{Error Commands}
+\label{sec:errorcmd}
+
+\begin{table}[ht] \footnotesize
+ \begin{center}
+ \caption{Error Commands}
+ \label{tab:errorcmd}
+ \begin{tabular}{|p{0.3\textwidth}|p{0.6\textwidth}|}
+ \hline
+ \tabhead{Command & Purpose}
+ \hline
+ \tabline[sec:variable]{name=expression}{Parameter relation}
+ \tabline[sec:errormode]{ERROR}{Start error mode}
+ \tabline[sec:select]{SELECT}{Select elements to be affected}
+ \tabline[sec:erroralign]{EALIGN}{Define misalignment errors}
+ \tabline[sec:errorfield]{EFIELD}{Define multipole field errors (by amplitude and rotation)}
+ \tabline[sec:errorfield]{EFCOMP}{Define multipole field errors (by components)}
+ \tabline[sec:errorprint]{EPRINT}{Print error definitions}
+ \tabline[sec:errorsave]{ESAVE}{Save error definitions to file}
+ \tabline[sec:errormode]{ENDERROR}{End error mode}
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\section{Error Mode}
+\label{sec:errormode}
+\index{ERROR}
+\index{ENDERROR}
+\index{Error Mode}
+\index{Mode!Error}
+
+For all error-defining commands \seetab{errorcmd},
+the beam line \seesec{line} or sequence \seesec{sequence} to be
+affected must be specified with the command
+\begin{verbatim}
+ERROR, LINE=name, SEED=real, ADD=logical, CLEAR=logical;
+\end{verbatim}
+It has the following attributes:
+\begin{kdescription}
+\item[LINE]
+ The line to be affected.
+\item[SEED]
+ Selects a particular sequence of random values.
+ A SEED value is an integer in the range [0...999999999] (default: 123456789).
+ SEED can be an expression.
+ See also: random values, \secref{adefer}.
+\item[ADD]
+ If this value is entered as true, the subsequent error definitions
+ are added to any existing ones.
+ Otherwise, the subsequent error definitions overwrite any existing
+ ones.
+\item[CLEAR]
+ If this value is true, all errors are erased from the given line.
+\end{kdescription}
+After this command \opal enters ``error mode'', in which it accepts only
+the error defining commands \seetab{errorcmd}.
+Normal mode is resumed by entering the command
+\begin{verbatim}
+ENDERROR;
+\end{verbatim}
+It is possible to assign alignment errors and field errors
+to single beam elements or to ranges of beam elements.
+Errors can be entered both with given or with random values.
+
+\section{Define Misalignments}
+\label{sec:erroralign}
+\index{EALIGN}
+\index{Error!Alignment}
+\index{Misalignment}
+Alignment errors are defined by the \texttt{EALIGN} command.
+The misalignments refer to a local reference system \seefig{local}
+for a perfectly aligned machine, placed half-way through the element
+on the design orbit.
+Possible misalignments are displacements along the three coordinate axes,
+and rotations about the coordinate axes.
+Alignment errors can be assigned to all beam elements except drift spaces.
+The effect of misalignments is treated in a linear approximation.
+
+Beam position monitors \seesec{monitor}
+can be given read errors in both horizontal and vertical planes.
+Monitor read errors are ignored for all other elements.
+Each new \texttt{EALIGN} statement replaces the misalignment errors
+for all elements in its range, unless \texttt{ERROR,ADD}
+has been entered.
+
+The elements to be misaligned must first be selected by the
+{SELECT} command \seesec{select}.
+Alignment errors can then be defined by the statement
+\begin{verbatim}
+EALIGN, DX=real, DY=real, DS=real, DPHI=real,
+ DTHETA=real,DPSI=real, MREX=real,MREY=real;
+\end{verbatim}
+Its attributes are:
+\begin{kdescription}
+\item[DX]
+ The misalignment in the $x$-direction
+ for the entry of the beam element (default: 0 m).
+ A positive value displaces the element
+ in the positive $x$-direction \seefig{xsdisp}.
+\item[DY]
+ The misalignment in the $y$-direction
+ for the entry of the beam element (default: 0 m).
+ A positive value displaces the element
+ in the positive $y$-direction \seefig{ysdisp}.
+\item[DS]
+ The misalignment in the $s$-direction
+ for the entry of the beam element (default: 0 m).
+ A positive value displaces the element
+ in the positive $s$-direction \seefig{xsdisp}.
+\item[DPHI]
+ The rotation around the $x$-axis, (default: 0 rad).
+ A positive angle \seefig{xsdisp} gives a greater $x$-coordinate for the exit
+ than for the entry.
+\item[DTHETA]
+ The rotation around the $y$-axis (default: 0 rad) according to
+ the right hand rule \seefig{xsdisp}.
+\item[DPSI]
+ The rotation around the $s$-axis (default: 0 rad) according to
+ the right hand rule \seefig{xydisp}.
+\item[MREX]
+ The horizontal read error for a beam position monitor (default: 0 m).
+ This is ignored if the element is not a monitor
+ For a positive value \seefig{monitor} the reading for $x$ is too high.
+\item[MREY]
+ The vertical read error for a beam position monitor (default: 0 m).
+ This is ignored if the element is not a monitor.
+ For a positive value \seefig{monitor} the reading for $y$ is too high.
+\end{kdescription}
+Example:
+\begin{verbatim}
+EALIGN, QF[2], DX=0.002, DY=0.0004*RANF(),
+ DPHI=0.0002*GAUSS();
+\end{verbatim}
+See also:
+\begin{itemize}
+\item Deferred Expressions \seesec{adefer},
+\item Random Generators \seesec{adefer}.
+\end{itemize}
+
+\begin{figure}[ht]
+\begin{center}
+\begin{picture}(400,140)(0,30)
+\put(50,75){\line(1,0){96}}
+\put(154,75){\vector(1,0){246}}
+\put(50,75){\makebox(0,0)[r]{\shortstack{original \\beam line}}}
+\put(390,65){\makebox(0,0)[r]{s}}
+\put(150,75){\circle{8}}
+\put(150,75){\circle*{2}}
+\put(140,85){\makebox(0,0){y}}
+\put(150,30){\line(0,1){41}}
+\put(150,79){\vector(0,1){91}}
+\put(140,160){\makebox(0,0){x}}
+\put(130,55){\vector(1,1){15}}
+\put(130,55){\makebox(0,0)[tr]{\shortstack{original entrance \\
+of the magnet}}}
+\put(150,55){\vector(1,0){50}}
+\put(175,45){\makebox(0,0){DS}}
+\put(130,75){\vector(0,1){50}}
+\put(125,100){\makebox(0,0)[r]{DX}}
+\put(125,125){\line(1,0){185}}
+\put(200,50){\line(0,1){120}}
+\put(200,125){\circle*{4}}
+\put(168,117){\vector(4,1){144}}
+\put(210,85){\vector(-1,4){20}}
+\bezier{30}(300,125)(300,137)(297,149)
+\put(299,140){\vector(-1,4){2}}
+\put(305,137){\makebox(0,0)[l]{DTHETA}}
+\put(282,137){\line(-1,4){4}}
+\put(202,117){\line(-1,4){4}}
+\put(198,133){\line(4,1){80}}
+\put(202,117){\line(4,1){80}}
+\put(150,67){\line(1,0){80}}
+\put(150,83){\line(1,0){80}}
+\put(150,67){\line(0,1){4}}
+\put(150,79){\line(0,1){4}}
+\put(230,67){\line(0,1){16}}
+\end{picture}
+\caption{Example of Misplacement in the $(x, s)$-plane.}
+\label{fig:xsdisp}
+\end{center}
+\end{figure}
+
+\begin{figure}[ht]
+\begin{center}
+\begin{picture}(400,140)(0,30)
+\put(50,75){\line(1,0){96}}
+\put(154,75){\vector(1,0){246}}
+\put(50,75){\makebox(0,0)[r]{\shortstack{original \\beam line}}}
+\put(390,65){\makebox(0,0)[r]{s}}
+\put(150,75){\circle{8}}\put(150,75){\makebox(0,0){$\times$}}
+\put(140,85){\makebox(0,0){x}}
+\put(150,30){\line(0,1){41}}
+\put(150,79){\vector(0,1){91}}
+\put(140,160){\makebox(0,0){y}}
+\put(130,55){\vector(1,1){15}}
+\put(130,55){\makebox(0,0)[tr]{\shortstack{original entrance \\
+of the magnet}}}
+\put(150,55){\vector(1,0){50}}
+\put(175,45){\makebox(0,0){DS}}
+\put(130,75){\vector(0,1){50}}
+\put(125,100){\makebox(0,0)[r]{DY}}
+\put(125,125){\line(1,0){185}}
+\put(200,50){\line(0,1){120}}
+\put(200,125){\circle*{4}}
+\put(168,133){\vector(4,-1){144}}
+\put(189,81){\vector(1,4){22}}
+\bezier{30}(300,125)(300,113)(297,101)
+\put(299,109){\vector(-1,-4){2}}
+\put(305,113){\makebox(0,0)[l]{DPHI}}
+\put(278,97){\line(1,4){4}}
+\put(198,117){\line(1,4){4}}
+\put(202,133){\line(4,-1){80}}
+\put(198,117){\line(4,-1){80}}
+\put(150,67){\line(1,0){80}}
+\put(150,83){\line(1,0){80}}
+\put(150,67){\line(0,1){4}}
+\put(150,79){\line(0,1){4}}
+\put(230,67){\line(0,1){16}}
+\end{picture}
+\caption{Example of Misplacement in the $(y, s)$-plane.}
+\label{fig:ysdisp}
+\end{center}
+\end{figure}
+
+\begin{figure}[ht]
+\begin{center}
+\begin{picture}(400,150)
+\put(204,75){\line(1,0){96}}
+\put(196,75){\vector(-1,0){96}}
+\put(305,75){\makebox(0,0)[l]{\shortstack{horizontal \\plane}}}
+\put(110,65){\makebox(0,0)[l]{x}}
+\put(200,75){\circle{8}}
+\put(200,75){\makebox(0,0){\(\times\)}}
+\put(210,65){\makebox(0,0){s}}
+\put(200,0){\line(0,1){71}}
+\put(200,79){\vector(0,1){71}}
+\put(190,140){\makebox(0,0){y}}
+\put(196,76.3){\vector(-3,1){70}}
+\put(204,73.7){\line(3,-1){70}}
+\put(198.7,72){\line(-1,-3){23.3}}
+\put(201.3,78){\vector(1,3){23.3}}
+\bezier{20}(260,75)(260,65)(257,56)
+\put(259,62){\vector(-1,-3){2}}
+\put(265,67){\makebox(0,0)[l]{DPSI}}
+\put(160,55){\line(3,-1){60}}
+\put(180,115){\line(3,-1){60}}
+\put(160,55){\line(1,3){20}}
+\put(220,35){\line(1,3){20}}
+\put(202.8,77.8){\line(1,1){50}}
+\put(197.2,72.2){\line(-1,-1){50}}
+\bezier{20}(213,114)(222,111)(229,104)
+\put(227,106){\vector(1,-1){2}}
+\put(233,125){\makebox(0,0){ROT}}
+\end{picture}
+\caption{Example of Misplacement in the $(x, y)$-plane.}
+\label{fig:xydisp}
+\end{center}
+\end{figure}
+
+\begin{figure}[ht]
+\begin{center}
+\begin{picture}(400,150)(0,20)
+\put(204,75){\line(1,0){96}}
+\put(196,75){\vector(-1,0){196}}
+\put(305,75){\makebox(0,0)[l]{\shortstack{horizontal \\plane}}}
+\put(10,65){\makebox(0,0)[l]{x}}
+\put(200,75){\circle{8}}\put(200,75){\makebox(0,0){\(\times\)}}
+\put(220,55){\vector(-1,1){15}}
+\put(220,55){\makebox(0,0)[tl]{\shortstack{true beam \\position}}}
+\put(210,85){\makebox(0,0){s}}
+\put(200,30){\line(0,1){41}}
+\put(200,79){\vector(0,1){101}}
+\put(190,170){\makebox(0,0){y}}
+\put(100,50){\vector(0,1){125}}
+\put(150,125){\vector(-1,0){100}}
+\put(100,125){\circle*{4}}
+\put(80,145){\vector(1,-1){15}}
+\put(80,145){\makebox(0,0)[br]{\shortstack{beam position given \\
+by the monitor}}}
+\put(200,55){\vector(-1,0){100}}
+\put(150,45){\makebox(0,0){MREX}}
+\put(80,75){\vector(0,1){50}}
+\put(70,100){\makebox(0,0)[r]{MREY}}
+\end{picture}
+\caption{Example of Read Errors in a monitor.}
+\label{fig:monitor}
+\end{center}
+\end{figure}
+
+\section{Define Field Errors}
+\label{sec:errorfield}
+\index{EFCOMP}
+\index{EFIELD}
+\index{Error!Field}
+\index{Field!Error}
+
+Field errors can be entered as relative or absolute errors.
+Different multipole components can be specified with
+different kinds of errors (relative or absolute).
+If an attempt is made to assign both a relative
+and an absolute error to the same multipole component,
+the absolute error is used and a warning is given.
+Relations between absolute and relative field errors are listed below.
+
+All field errors are specified as the integrated value $\int K_k ds$ of the
+field components along the magnet axis in $\mathrm{m}^{-k}$.
+At present field errors may only affect field components
+allowed as normal components in a magnet.
+This means for example that a dipole may have errors of the type dipole,
+quadrupole, sextupole, and octupole; but not of the type decapole.
+There is no provision to specify a global relative
+excitation error affecting all field components in a combined function
+magnet.
+Such an error may only be entered by defining the same relative error
+for all field components.
+
+First the elements to be affected must be selected by the
+{SELECT} command \seesec{select}.
+Field errors can then be specified for magnetic elements
+by one of the statements
+\begin{verbatim}
+EFIELD, ORDER=integer, RADIUS=real, ROT=deferred-vector,
+ DKR=deferred-vector, DK=deferred-vector;
+EFCOMP, ORDER=integer, RADIUS=real,
+ DKN=deferred-vector, DKS=deferred-vector,
+ DKNR=deferred-vector, DKSR=deferred-vector;
+\end{verbatim}
+Each new \texttt{EFIELD} or \texttt{EFCOMP} statement
+replaces the field errors for all selected elements.
+Any old field errors present in the range are discarded
+or incremented depending on the setting of \texttt{ERROR,ADD}.
+\texttt{EFIELD} defines the error in terms
+of relative or absolute amplitude and rotation;
+while \texttt{EFCOMP} defines them in terms
+of relative or absolute components.
+
+Both commands have the attributes:
+\begin{kdescription}
+\item[ORDER]
+ If relative errors are entered for multipoles,
+ this defines the order of the base component to which the relative
+ errors refer.
+ The default is zero.
+\item[RADIUS]
+ Radius $R$ were the relative components are specified (default 1 m).
+ This attribute is required if any relative component is used.
+\end{kdescription}
+The command \texttt{EFIELD} has the following additional attributes:
+\begin{kdescription}
+\item[DK]
+ A {vector} \seesec{vector} of deferred expressions \seesec{adefer}.
+ Its component $k$ is the absolute error amplitude
+ for the multipole strength with $(2k+2)$-poles
+ (default: $0 \mathrm{m}^k$).
+\item[DKR]
+ A {vector} \seesec{vector} of deferred expressions \seesec{adefer}.
+ Its component $k$ is the relative error amplitude
+ for the multipole strength with $(2k+2)$-poles
+ (default: $0 \mathrm{m}^k$).
+\item[ROT]
+ A {vector} \seesec{vector} of deferred expressions \seesec{adefer}.
+ Its component $k$ is the rotation angle \seefig{xydisp}
+ for the multipole strength with $(2k+2)$-poles
+ (default: 0 rad).
+\end{kdescription}
+The command \texttt{EFCOMP} has the following additional attributes:
+\begin{kdescription}
+\item[DKN]
+ A {vector} \seesec{vector} of deferred expressions \seesec{adefer}.
+ Its component $k$ is the absolute error for the normal multipole
+ strength with $(2k+2)$-poles (default: $0 \mathrm{m}^k$).
+\item[DKS]
+ A {vector} \seesec{vector} of deferred expressions \seesec{adefer}.
+ Its component $k$ is the absolute error for the skew multipole
+ strength with $(2k+2)$-poles (default: $0 \mathrm{m}^k$).
+\item[DKNR]
+ A {vector} \seesec{vector} of deferred expressions \seesec{adefer}.
+ Its component $k$ is the relative error for the normal multipole
+ strength with $(2k+2)$-poles (default: $0 \mathrm{m}^k$).
+\item[DKSR]
+ A {vector} \seesec{vector} of deferred expressions \seesec{adefer}.
+ Its component $k$ is the relative error for the skew multipole
+ strength with $(2k+2)$-poles (default: $0 \mathrm{m}^k$).
+\end{kdescription}
+All random vectors have an unlimited length.
+
+Examples:
+\begin{verbatim}
+EFIELD, DK={0, 0.0025*RANF(), 0, 0, 0,
+ DK(5)=0.0092*GAUSS()};
+EFIELD, DKR={0, 0, 0, 0.0025*RANF(), 0,
+ DKR(5)=0.0092*GAUSS()};
+\end{verbatim}
+See also:
+\begin{itemize}
+\item Multipole Field Errors \seesec{errorfield},
+\item Sign Conventions for magnetic fields \seesec{sign},
+\item Attribute Vectors \seesec{vector}
+\item Deferred Expressions \seesec{adefer},
+\item Random Generators \seesec{adefer}.
+\end{itemize}
+
+\subsection{Multipole Field Errors}
+\label{sec:errormulti}
+Multipole field errors can be assigned to all multipole-like elements:
+\begin{itemize}
+\item \texttt{RBEND} \seessec{RBend},
+\item \texttt{SBEND} \seessec{SBend},
+\item \texttt{QUADRUPOLE} \seesec{quadrupole},
+\item \texttt{SEXTUPOLE} \seesec{sextupole},
+\item \texttt{OCTUPOLE} \seesec{octupole},
+\item \texttt{MULTIPOLE} \seesec{multipole},
+\end{itemize}
+The main field and the error field are evaluated separately and then added.
+Error field components can be absolute or relative values.
+Relative errors are referred to the amplitude of the nominal component
+of order \texttt{ORDER} = $n$ (default = 0),
+taken at the radius \texttt{RADIUS} = $R$ (default = 1).
+
+Given the factors
+\[
+\psi_k = (k + 1) * \texttt{ROT[k]},
+c_k = \cos \psi_k,
+s_k = - \sin \psi_k,
+f_k = \texttt{RADIUS[k]}^(k-n) * n! / k!.
+\]
+the field components
+$\delta K_{kn}$ (normal) and $\delta K_{ks}$ (skew)
+are computed as follows from the input data:
+\[
+\begin{array}{lclclclcl}
+ \delta K_{kn} &=& c_k \mathtt{DK[k]} &=& f_k c_k \mathtt{DKR[k]} &=&
+ \mathtt{DKN[k]} &=& f_k \mathtt{DKNR[k]} \\
+ \delta K_{ks} &=& s_k \mathtt{DK[k]} &=& f_k s_k \mathtt{DKR[k]} &=&
+ \mathtt{DKS[k]} &=& f_k \mathtt{DKSR[k]}
+\end{array}
+\]
+The first line gives the normal components,
+the second line the skew components.
+
+\section{Print Machine Imperfections}
+\label{sec:errorprint}
+\index{EPRINT}
+\index{Error!Print}
+\index{Print!Errors}
+
+Before imperfections can be listed,
+the elements to be printed must be selected by a
+{SELECT} command \seesec{select}.
+Then a table of errors assigned to these elements can be printed
+by the command
+\begin{verbatim}
+EPRINT, FILE=string, ALIGN=logical, FIELD=logical,
+ ORDER=integer, RADIUS=real;
+\end{verbatim}
+The command has the following attributes:
+\begin{kdescription}
+\item[FILE]
+ The file to receive the output.
+\item[ALIGN]
+ If true, the alignment errors are printed.
+\item[FIELD]
+ If true, the field errors are printed.
+\item[ORDER]
+ The order used for normalizing, like on \texttt{EFIELD} and
+ \texttt{EFCOMP}.
+\item[RADIUS]
+ The radius used for normalizing, like on \texttt{EFIELD} and
+ \texttt{EFCOMP}.
+\end{kdescription}
+
+\section{Save Machine Imperfections}
+\label{sec:errorsave}
+\index{ESAVE}
+\index{Error!Save}
+\index{Saving!Errors}
+
+Before imperfections can be saved,
+the elements to be saved must be selected by a
+{SELECT} command \seesec{select}.
+The element imperfections can then be saved to a file with the command
+\begin{verbatim}
+ESAVE, FILE=string, ALIGN=logical, FIELD=logical,
+ ORDER=integer, RADIUS=real;
+\end{verbatim}
+This command saves a table of errors assigned to elements on a file,
+using a format which can be read again by \opal to obtain the same results.
+This allows dumping the errors and reloading them for the same line.
+Field errors are saved as relative errors,
+and the \texttt{RADIUS} and \texttt{ORDER} must be entered as used on the
+{EFIELD} \seesec{errorfield} or
+{EFCOMP} \seesec{errorfield} commands.
+%If {OPTION,\opal8} \seesec{option} is active,
+%the output is given in \opal-8 format.
+The command has the following attributes:
+\begin{kdescription}
+\item[FILE]
+ The file to receive the output.
+\item[ALIGN]
+ If true, the alignment errors are saved.
+\item[FIELD]
+ If true, the field errors are saved.
+\item[ORDER]
+ The order used for normalizing, like on \texttt{EFIELD} and
+ \texttt{EFCOMP}.
+\item[RADIUS]
+ The radius used for normalizing, like on \texttt{EFIELD} and
+ \texttt{EFCOMP}.
+\end{kdescription}
+
+\index{Errors|)}
\ No newline at end of file
diff --git a/doc/user_guide/examples/OBLA-Gun/OBLA-Gun.in b/doc/user_guide/examples/OBLA-Gun/OBLA-Gun.in
new file mode 100644
index 0000000000000000000000000000000000000000..8a94896e8ec2ce808a1a26eeabb2f38d555ae7f4
--- /dev/null
+++ b/doc/user_guide/examples/OBLA-Gun/OBLA-Gun.in
@@ -0,0 +1,56 @@
+Title,string="OBLA Gun";
+
+Option, ECHO=FALSE;
+Option, PSDUMPFREQ=10;
+
+
+Edes=1.0E-9;
+gamma=(Edes+EMASS)/EMASS;
+beta=sqrt(1-(1/gamma^2));
+gambet=gamma*beta;
+P0 = gamma*beta*EMASS;
+brho = (EMASS*1.0e9*gambet) / CLIGHT;
+
+value,{gamma,brho,Edes,beta,gambet};
+
+// L: physical element length (real)
+// KS: field scaling factor (real)
+// FMAPFN: field file name (string)
+// ELEMEDGE: physical start of the element on the floor (real)
+SP1: Solenoid, L=1.20, ELEMEDGE=-0.5335, FMAPFN="1T2.T7",
+ KS=0.00011;
+SP2: Solenoid, L=1.20, ELEMEDGE=-0.399, FMAPFN="1T3.T7", KS=0.0;
+SP3: Solenoid, L=1.20, ELEMEDGE=-0.269, FMAPFN="1T3.T7", KS=0.0;
+
+gun: RFCavity, L=0.011, VOLT=-102.28, FMAPFN="1T1.T7",
+ ELEMEDGE=0.00, TYPE="STANDING", FREQ=1.0e-6;
+
+l1: Line = (gun,sp1,sp2,sp3);
+
+rf=1498.956e6;
+v0=beta*CLIGHT;
+lz = 6.5E-12*v0;
+value,{v0,lz};
+
+Dist1:DISTRIBUTION, DISTRIBUTION=gungauss,
+ sigmax= 0.00030, sigmapx=0.0, corrx=0.0,
+ sigmay= 0.00030, sigmapy=0.0, corry=0.0,
+ sigmat= lz, sigmapt=1.0, corrt=0.0 ,
+ TEMISSION=3.9e-11, NBIN=39, DEBIN=1;
+
+MINSTEPFORREBIN=1000;
+
+Fs1:FIELDSOLVER, FSTYPE=FFT, MX=32, MY=32, MT=32,
+ PARFFTX=true, PARFFTY=true, PARFFTT=false,
+ BCFFTX=open, BCFFTY=open, BCFFTT=open,
+ BBOXINCR=1, GREENSF=STANDARD;
+
+beam1: BEAM, PARTICLE=ELECTRON, pc=P0, NPART=50000,
+ BCURRENT=0.008993736, BFREQ=rf, CHARGE=-1;
+
+Select, Line=l1;
+track,line=l1, beam=beam1, MAXSTEPS=2000, DT=1.0e-13;
+ run, method = "PARALLEL-T", beam=beam1, fieldsolver=Fs1,
+ distribution=Dist1;
+endtrack;
+Stop;
diff --git a/doc/user_guide/examples/diagnostic.in b/doc/user_guide/examples/diagnostic.in
new file mode 100644
index 0000000000000000000000000000000000000000..4b3387e6812683c1169fc6cd71f15d4256709142
--- /dev/null
+++ b/doc/user_guide/examples/diagnostic.in
@@ -0,0 +1,45 @@
+Option, ECHO=FALSE;
+Option, TFS=FALSE;
+Option, PSDUMPFREQ=10;
+
+Title,string="OPAL Diagnostics test";
+
+Edes=0.0307; //GeV
+gamma=(Edes+EMASS)/EMASS;
+beta=sqrt(1-(1/gamma^2));
+gambet=gamma*beta;
+P0 = gamma*beta*EMASS;
+brho = (EMASS*1.0e9*gambet) / CLIGHT;
+value,{gamma,brho,Edes,beta,gambet};
+
+FINLB02_MSLAC40: Solenoid, L=0.001, KS=0.05,
+ FMAPFN="FINLB02-MSLAC.T7", ELEMEDGE=4.554;
+
+FIND1_MQ10: Quadrupole, L=0.1, K1=2.788, ELEMEDGE=5.874;
+FIND1_MQ20: Quadrupole, L=0.1, K1=-3.517, ELEMEDGE=6.074;
+
+
+SCREEN: Monitor, L=0.01, ELEMEDGE=7.3867, OUTFN="Screen.h5";
+
+FIND1: Line = (FINLB02_MSLAC40, FIND1_MQ10, FIND1_MQ20, SCREEN);
+
+Dist1:DISTRIBUTION, DISTRIBUTION=gauss,
+ sigmax= 1.0e-03, sigmapx=1.0e-4, corrx=0.5,
+ sigmay= 2.0e-03, sigmapy=1.0e-4, corry=-0.5,
+ sigmat= 3.0e-03, sigmapt=1.0e-4, corrt=0.0;
+
+Fs2:FIELDSOLVER, FSTYPE=FFT, MX=32, MY=32, MT=64,
+ PARFFTX=false, PARFFTY=false, PARFFTT=true,
+ BCFFTX=open, BCFFTY=open, BCFFTT=open,
+ BBOXINCR=1.0, GREENSF=INTEGRATED;
+
+beam1: BEAM, PARTICLE=ELECTRON, pc=P0, NPART=1e5,
+ BFREQ=1498.953425154e6, BCURRENT=0.299598, CHARGE=-1;
+
+Select, Line=FIND1;
+
+track,line=FIND1, beam=beam1, MAXSTEPS=10000, DT=1.0e-12;
+ run, method = "PARALLEL-T", beam=beam1, fieldsolver=Fs2,
+ distribution=Dist1;
+endtrack;
+Stop;
diff --git a/doc/user_guide/examples/matchedDistribution.in b/doc/user_guide/examples/matchedDistribution.in
new file mode 100644
index 0000000000000000000000000000000000000000..eb70d46863068f95eb554b1bc19bc5972455c4db
--- /dev/null
+++ b/doc/user_guide/examples/matchedDistribution.in
@@ -0,0 +1,83 @@
+OPTION, ECHO = FALSE;
+OPTION, PSDUMPFREQ = 1;
+OPTION, SPTDUMPFREQ = 1;
+OPTION, PSDUMPEACHTURN = FALSE;
+OPTION, PSDUMPLOCALFRAME = FALSE;
+OPTION, REPARTFREQ = 20;
+OPTION, CZERO = FALSE;
+OPTION, TELL = TRUE;
+
+Title,string="OPAL-cycl: test matched distribution PSI Ring";
+
+Edes=.580;
+gamma=(Edes+PMASS)/PMASS;
+beta=sqrt(1-(1/gamma^2));
+gambet=gamma*beta;
+P0 = gamma*beta*PMASS;
+brho = (PMASS*1.0e9*gambet) / CLIGHT;
+
+//value,{gamma,brho,Edes,beta,gambet};
+
+phi01=139.4281;
+phi02=phi01+180.0;
+phi04=phi01;
+phi05=phi01+180.0;
+phi03=phi01+10.0;
+
+volt1st=0.9;
+volt3rd=0.9*4.0*0.112;
+
+turns = 0;
+nstep = 0;
+
+frequency=50.650;
+frequency3=3.0*frequency;
+
+ring: Cyclotron, TYPE="RING", CYHARMON=6, PHIINIT=0.0, PRINIT=-0.000174,
+ RINIT=2130.0, SYMMETRY=8.0, RFFREQ=frequency,
+ FMAPFN="s03av.nar", FMLOWE=72.0, FMHIGHE=590.0;
+
+rf0: RFCavity, VOLT=volt1st, FMAPFN="Cav1.dat", TYPE="SINGLEGAP",
+FREQ=frequency, RMIN = 1900.0, RMAX = 4500.0, ANGLE=35.0, PDIS = 416.0,
+GAPWIDTH = 220.0, PHI0=phi01;
+
+rf1: RFCavity, VOLT=volt1st, FMAPFN="Cav1.dat", TYPE="SINGLEGAP",
+FREQ=frequency, RMIN = 1900.0, RMAX = 4500.0, ANGLE=125.0, PDIS = 416.0,
+GAPWIDTH = 220.0, PHI0=phi02;
+
+rf2: RFCavity, VOLT=volt3rd, FMAPFN="Cav3.dat", TYPE="SINGLEGAP",
+FREQ=frequency3,RMIN = 1900.0, RMAX = 4500.0, ANGLE=170.0, PDIS = 452.0,
+GAPWIDTH = 250.0, PHI0=phi03;
+
+rf3: RFCavity, VOLT=volt1st, FMAPFN="Cav1.dat", TYPE="SINGLEGAP",
+FREQ=frequency, RMIN = 1900.0, RMAX = 4500.0, ANGLE=215.0, PDIS = 416.0,
+GAPWIDTH = 220.0, PHI0=phi04;
+
+rf4: RFCavity, VOLT=volt1st, FMAPFN="Cav1.dat", TYPE="SINGLEGAP",
+FREQ=frequency, RMIN = 1900.0, RMAX = 4500.0, ANGLE=305.0, PDIS = 416.0,
+GAPWIDTH = 220.0, PHI0=phi05;
+
+l1: LINE = (ring,rf0,rf1,rf2,rf3,rf4);
+
+
+Dist1:DISTRIBUTION, DISTRIBUTION=GAUSSMATCHED, LINE=l1,
+ FMAPFN="ring590_bfld.dat", MAGSYM= 8,
+ EX = 1.0e-06, EY = 1.0e-06, ET = 1.0e-06;
+
+
+
+Fs1:FIELDSOLVER, FSTYPE=FFT, MX=32, MY=32, MT=16,
+ PARFFTX=true, PARFFTY=true, PARFFTT=true,
+ BCFFTX=open, BCFFTY=open, BCFFTT=open;
+
+beam1: BEAM, PARTICLE=PROTON, pc=P0, NPART=1e7, BCURRENT=2.2E-3, CHARGE=1.0,
+ BFREQ= frequency;
+
+Select, Line=l1;
+
+TRACK,LINE=l1, BEAM=beam1, MAXSTEPS=nstep*turns, STEPSPERTURN=nstep,
+ TIMEINTEGRATOR="RK-4";
+ run, method = "CYCLOTRON-T", beam=beam1, fieldsolver=Fs1, distribution=Dist1;
+endtrack;
+
+Stop;
\ No newline at end of file
diff --git a/doc/user_guide/examples/matchedDistribution.output b/doc/user_guide/examples/matchedDistribution.output
new file mode 100644
index 0000000000000000000000000000000000000000..40463ae02c078cb4b311764b23f87ec8d8dc1868
--- /dev/null
+++ b/doc/user_guide/examples/matchedDistribution.output
@@ -0,0 +1,192 @@
+OPAL> Current settings of options:
+OPAL> OPTION,ECHO=FALSE,INFO=TRUE,TRACE=FALSE,VERIFY=FALSE,WARN=TRUE,
+OPAL> SEED=1.23457e+08,TELL=TRUE,PSDUMPFREQ=1,STATDUMPFREQ=10,
+OPAL> PSDUMPEACHTURN=FALSE,PSDUMPLOCALFRAME=FALSE,SPTDUMPFREQ=1,
+OPAL> REPARTFREQ=20,REBINFREQ=100,SCSOLVEFREQ=1,MTSSUBSTEPS=1,
+OPAL> REMOTEPARTDEL=-1,SCAN=FALSE,RHODUMP=FALSE,EBDUMP=FALSE,
+OPAL> CSRDUMP=FALSE,AUTOPHASE=0,PPDEBUG=FALSE,SURFDUMPFREQ=-1,
+OPAL> NUMBLOCKS=0,RECYCLEBLOCKS=0,NLHS=1,CZERO=FALSE,RNGTYPE="RANDOM",
+OPAL> SCHOTTKYCORR=FALSE,SCHOTTKYRENO=-1,ENABLEHDF5=TRUE,ASCIIDUMP=FALSE,
+OPAL> BOUNDPDESTROYFQ=10,BEAMHALOBOUNDARY=0;
+OPAL>
+OPAL> * ----------------------------------------------------
+OPAL> * About to find closed orbit and matched distribution
+OPAL> * I= 2.2 (mA) E= 580 (MeV)
+OPAL> * EX= 1e-06* EY= 1e-06* ET= 1e-06* FMAPFN ring590_bfld.dat
+OPAL> * FMSYM= 8* HN= 6* PHIINIT= 0
+OPAL> * ----------------------------------------------------
+OPAL> * Converged (Ex, Ey, Ez) = (0.313794, 0.313794, 0.313794) pi mm mrad for E= 580 (MeV)
+OPAL> * Sigma-Matrix
+OPAL> 3.914 & -0.6486 & 0 & 0 & 0.4542 & 1.362 \\
+OPAL> -0.6486 & 0.6396 & 0 & 0 & 0.7265 & -0.2685 \\
+OPAL> 0 & 0 & 6.239 & 1.198 & 0 & 0 \\
+OPAL> 0 & 0 & 1.198 & 0.3859 & 0 & 0 \\
+OPAL> 0.4542 & 0.7265 & 0 & 0 & 2.363 & 0.1752 \\
+OPAL> 1.362 & -0.2685 & 0 & 0 & 0.1752 & 0.8944 \\
+OPAL> * m before gsl_linalg_cholesky_decomp
+OPAL> * r(0, : ) = 1 & -0.4099 & 0 & 0 & 0.1493 & 0.7277 \\
+OPAL> * r(1, : ) = -0.4099 & 1 & 0 & 0 & 0.5909 & -0.355 \\
+OPAL> * r(2, : ) = 0 & 0 & 1 & 0.7722 & 0 & 0 \\
+OPAL> * r(3, : ) = 0 & 0 & 0.7722 & 1 & 0 & 0 \\
+OPAL> * r(4, : ) = 0.1493 & 0.5909 & 0 & 0 & 1 & 0.1205 \\
+OPAL> * r(5, : ) = 0.7277 & -0.355 & 0 & 0 & 0.1205 & 1 \\
+OPAL> * m after gsl_linalg_cholesky_decomp
+OPAL> * r(0, : ) = 1 & 0 & 0 & 0 & 0 & 0 \\
+OPAL> * r(1, : ) = -0.4099 & 0.9121 & 0 & 0 & 0 & 0 \\
+OPAL> * r(2, : ) = 0 & 0 & 1 & 0 & 0 & 0 \\
+OPAL> * r(3, : ) = 0 & 0 & 0.7722 & 0.6354 & 0 & 0 \\
+OPAL> * r(4, : ) = 0.1493 & 0.715 & 0 & 0 & 0.683 & 0 \\
+OPAL> * r(5, : ) = 0.7277 & -0.06211 & 0 & 0 & 0.08229 & 0.6781 \\
+OPAL> * Mass of simulation particle= 25.44 GeV/c^2
+OPAL> * Charge of simulation particle= 4.344e-18 [C]
+OPAL> * **********************************************************************************
+OPAL> * Selected Tracking Method == CYCLOTRON-T, NEW TRACK
+OPAL> * **********************************************************************************
+OPAL> * Number of neighbour bunches= 1
+OPAL> * DT = 1e-12
+OPAL> * MAXSTEPS = 0
+OPAL> * Phase space dump frequency = 1
+OPAL> * Statistics dump frequency = 10 w.r.t. the time step.
+OPAL> * **********************************************************************************
+OPAL> * ************* D I S T R I B U T I O N ********************************************
+OPAL> *
+OPAL> * Distribution type: MATCHEDGAUSS
+OPAL> * SIGMAX = 0.001978 [m]
+OPAL> * SIGMAY = 0.002498 [m]
+OPAL> * SIGMAZ = 0.001537 [m]
+OPAL> * SIGMAPX = 4.129e-05 [Beta Gamma]
+OPAL> * SIGMAPY = 3.639e-05 [Beta Gamma]
+OPAL> * SIGMAPZ = 4.49e-05 [Beta Gamma]
+OPAL> * AVRGPZ = 0 [Beta Gamma]
+OPAL> * CORRX = -0.4099
+OPAL> * CORRY = 0.7722
+OPAL> * CORRZ = 0.1205
+OPAL> * R61 = 0.7277
+OPAL> * R62 = -0.355
+OPAL> * R51 = 0.1493
+OPAL> * R52 = 0.5909
+OPAL> * CUTOFFX = 3 [units of SIGMAX]
+OPAL> * CUTOFFY = 3 [units of SIGMAY]
+OPAL> * CUTOFFZ = 3 [units of SIGMAZ]
+OPAL> * CUTOFFPX = 3 [units of SIGMAPX]
+OPAL> * CUTOFFPY = 3 [units of SIGMAPY]
+OPAL> * CUTOFFPZ = 3 [units of SIGMAPY]
+OPAL> *
+OPAL> * Distribution is injected.
+OPAL> *
+OPAL> * **********************************************************************************
+OPAL>
+OPAL> * ************* B E A M ************************************************************
+OPAL> * BEAM BEAM1
+OPAL> * PARTICLE PROTON
+OPAL> * CURRENT 0.0022 A
+OPAL> * FREQUENCY 50.65 Hz
+OPAL> * CHARGE +e * 1
+OPAL> * REST MASS 0.9383 GeV
+OPAL> * MOMENTUM 1.194
+OPAL> * NPART 1e+07
+OPAL> * **********************************************************************************
+OPAL>
+OPAL> * ************* F I E L D S O L V E R **********************************************
+OPAL> * FIELDSOLVER FS1
+OPAL> * TYPE FFT
+OPAL> * N-PROCESSORS 1
+OPAL> * MX 32
+OPAL> * MY 32
+OPAL> * MT 16
+OPAL> * BBOXINCR 2
+OPAL> * GRRENSF INTEGRATED
+OPAL> * XDIM parallel
+OPAL> * YDIM parallel
+OPAL> * Z(T)DIM parallel
+OPAL>
+OPAL> * **********************************************************************************
+
+/*
+ * Adding Cyclotron skipped
+ */
+
+OPAL> * *********************** Bunch information in local frame: ************************
+OPAL> * ************** B U N C H *********************************************************
+OPAL> * NP = 10000000
+OPAL> * Qtot = 4.34353e-02 [nC] Qi = 4.34353e-09 [nC]
+OPAL> * Ekin = 5.80000e+02 [MeV] dEkin = 0.00000e+00 [MeV]
+OPAL> * rmax = ( 6.17284e-03 , 7.79039e-03 , 4.79664e-03 ) [m]
+OPAL> * rmin = ( -6.17191e-03 , -7.78887e-03 , -4.79646e-03 ) [m]
+OPAL> * rms beam size = ( 1.91510e-03 , 2.41332e-03 , 1.50548e-03 ) [m]
+OPAL> * rms momenta = ( 3.99780e-05 , 3.51484e-05 , 4.37486e-05 ) [beta gamma]
+OPAL> * mean position = ( -1.56300e-13 , 2.13395e-17 , -8.71013e-21 ) [m]
+OPAL> * mean momenta = ( 5.72459e-17 , 1.27218e+00 , 2.15345e-17 ) [beta gamma]
+OPAL> * rms emittance = ( 5.52530e-08 , 4.34281e-08 , 5.13673e-08 ) (not normalized)
+OPAL> * rms correlation = ( -3.96345e-01 , 7.58800e-01 , 1.24755e-01 )
+OPAL> * hr = ( 3.98218e-04 , 5.02557e-04 , 6.39540e-04 ) [m]
+OPAL> * dh = 2.00000e+00 [%]
+OPAL> * t = 0.00000e+00 [s] dT = inf [s]
+OPAL> * spos = -8.71013e-21 [m]
+OPAL> * **********************************************************************************
+OPAL>
+OPAL>
+OPAL> * Phase space dump 0 (global frame) at integration step 0
+OPAL> * T = 0 ns, Live Particles: 10000000
+OPAL> * E = 580 MeV, beta * gamma = 1.2722
+OPAL> * Bunch position: R = 2130 mm, Theta = 2.4758e-05 Deg, Z = -5.4519e-05 mm
+OPAL> * Local Azimuth = 0.0078362 Deg, Local Elevation = -0.0028597 Deg
+OPAL>
+OPAL> * *********************** Bunch information in global frame: ***********************
+OPAL> * ************** B U N C H *********************************************************
+OPAL> * NP = 10000000
+OPAL> * Qtot = 4.34353e-02 [nC] Qi = 4.34353e-09 [nC]
+OPAL> * Ekin = 5.80000e+02 [MeV] dEkin = 3.22716e-02 [MeV]
+OPAL> * rmax = ( 6.17284e-03 , 7.79039e-03 , 4.79664e-03 ) [m]
+OPAL> * rmin = ( -6.17191e-03 , -7.78887e-03 , -4.79646e-03 ) [m]
+OPAL> * rms beam size = ( 1.91510e-03 , 2.41332e-03 , 1.50548e-03 ) [m]
+OPAL> * rms momenta = ( 3.99780e-05 , 3.51500e-05 , 4.37486e-05 ) [beta gamma]
+OPAL> * mean position = ( 2.13000e+00 , 9.20405e-07 , -5.45188e-08 ) [m]
+OPAL> * mean momenta = ( -1.73993e-04 , 1.27218e+00 , -6.34947e-05 ) [beta gamma]
+OPAL> * rms emittance = ( 5.52530e-08 , 4.34328e-08 , 5.13673e-08 ) (not normalized)
+OPAL> * rms correlation = ( -3.96344e-01 , 7.58765e-01 , 1.24755e-01 )
+OPAL> * hr = ( 3.98218e-04 , 5.02557e-04 , 6.39540e-04 ) [m]
+OPAL> * dh = 2.00000e+00 [%]
+OPAL> * t = 0.00000e+00 [s] dT = inf [s]
+OPAL> * spos = -5.45188e-08 [m]
+OPAL> * **********************************************************************************
+OPAL>
+OPAL> * Beginning of this run is at t = 0 [ns]
+OPAL> * The time step is set to dt = inf [ns]
+OPAL> * Single particle trajectory dump frequency is set to 1
+OPAL> * The frequency to solve space charge fields is set to 1
+OPAL> * The repartition frequency is set to 20
+OPAL>
+OPAL> * --------------------------------- Start tracking ------------------------------------ *
+OPAL>
+OPAL> * ---------------------------- DONE TRACKING PARTICLES -------------------------------- *
+OPAL> * Final energy of reference particle = 580 [MeV]
+OPAL> * Total phase space dump number(includes the initial distribution) = 1
+OPAL> * One can restart simulation from the last dump step (-restart 0)
+OPAL> *
+OPAL> * Finished during turn 1 (0 turns completed)
+OPAL> * Cave: Turn number is not correct for restart mode
+OPAL>
+OPAL> * *********************** Bunch information in global frame: ***********************
+OPAL> * ************** B U N C H *********************************************************
+OPAL> * NP = 10000000
+OPAL> * Qtot = 4.34353e-02 [nC] Qi = 4.34353e-09 [nC]
+OPAL> * Ekin = 5.80000e+02 [MeV] dEkin = 3.22716e-02 [MeV]
+OPAL> * rmax = ( 6.17284e-03 , 7.79039e-03 , 4.79664e-03 ) [m]
+OPAL> * rmin = ( -6.17191e-03 , -7.78887e-03 , -4.79646e-03 ) [m]
+OPAL> * rms beam size = ( 1.91510e-03 , 2.41332e-03 , 1.50548e-03 ) [m]
+OPAL> * rms momenta = ( 3.99780e-05 , 3.51500e-05 , 4.37486e-05 ) [beta gamma]
+OPAL> * mean position = ( 2.13000e+00 , 9.20405e-07 , -5.45188e-08 ) [m]
+OPAL> * mean momenta = ( -1.73993e-04 , 1.27218e+00 , -6.34947e-05 ) [beta gamma]
+OPAL> * rms emittance = ( 5.52530e-08 , 4.34328e-08 , 5.13673e-08 ) (not normalized)
+OPAL> * rms correlation = ( -3.96344e-01 , 7.58765e-01 , 1.24755e-01 )
+OPAL> * hr = ( 3.98218e-04 , 5.02557e-04 , 6.39540e-04 ) [m]
+OPAL> * dh = 2.00000e+00 [%]
+OPAL> * t = 0.00000e+00 [s] dT = inf [s]
+OPAL> * spos = -5.45188e-08 [m]
+OPAL> * **********************************************************************************
+OPAL>
+OPAL> * ----------------------------------------------- *
+OPAL> * Finalizing i.e. write data and close files :
+OPAL> * Finalize cyclotron
+OPAL> * ----------------------------------------------- *
\ No newline at end of file
diff --git a/doc/user_guide/examples/multipacting.in b/doc/user_guide/examples/multipacting.in
new file mode 100644
index 0000000000000000000000000000000000000000..db8e0a42fbee5b8290111ee60abfb2414c7c6050
--- /dev/null
+++ b/doc/user_guide/examples/multipacting.in
@@ -0,0 +1,86 @@
+Title, string="Cyclotron_Multipacting_Simulation_example";
+
+Option, ECHO=FALSE;
+Option, INFO=FALSE;
+
+Option, PSDUMPFREQ=1;
+Option, STATDUMPFREQ=1;
+Option, PPDEBUG=FALSE;
+Option, SURFDUMPFREQ=100;
+
+// Set an upper limit of simulation particle number
+// to prevent memory overflow.
+
+MAXPARTSNUM=1000000;
+
+// SECONDARYFLAG = 1: Using Furman-Pivi's model
+// SURFMATERIAL=0: surface material is copper
+// Set NEMISSIONMODE=false will use re-normalize
+// simulation particle approach.
+// Set the field enhancement factor FNBETA to
+// a very small number to prevent field
+// emission.
+
+DistSurf: DISTRIBUTION, DISTRIBUTION = "SURFACEEMISSION",
+ NPDARKCUR =0,INWARDMARGIN = 0.0,
+ FNBETA = 0.1, FNMAXEMI = 2,
+ SECONDARYFLAG = 1,
+ NEMISSIONMODE=false,
+ SURFMATERIAL=0;
+
+// INWARDMARGIN: seed electron positions along the
+// inward normal w.r.t the boundary surface.
+DistSurf1: DISTRIBUTION,
+ DISTRIBUTION = "SURFACERANDCREATE",
+ INWARDMARGIN = 0.0, NPDARKCUR =10000,
+ EINITHR = 0.2;
+
+// For multipacting study of cyclotron cavity,
+// the axis z in geometry file is actually axis y
+// in ParallelTTracker, so we need to shift z
+// coordinates of the geometry by specifying ZSHIFT to make
+// sure that the z coordinates read in by ParallelTTracker
+// will be correct.
+
+ge: GEOMETRY, FGEOM="../10.h5", S=0.0,
+ ZSHIFT=0.631, DISTRS={DistSurf, DistSurf1};
+
+Box: RFCavity, PLENGTH = 1.262, VOLT = 1,
+ GEOMETRY = ge, FMAPFN = "../CyciaeEM.h5",
+ ELEMEDGE =0, FAST=true,
+ FREQ =44.6, LAG = 0.0,
+ DX = 0, DY = 0;
+
+// This element is used to model the magnetic field in
+// the valley of a cyclotron, where the RF cavity is installed.
+
+Mag: CYCLOTRONVALLEY, FMAPFN = "../CyciaeMagReal.h5",
+ ELEMEDGE =0, DX = 0, DY = 0;
+
+Benchmark: Line = (Box, Mag);
+
+Fs1:FIELDSOLVER, FSTYPE = NONE, MX = 32,
+ MY = 32, MT = 256,
+ PARFFTX = true, PARFFTY = true,
+ PARFFTT = false, BCFFTX = open,
+ BCFFTY = open, BCFFTT = open,
+ BBOXINCR = 0.1, GREENSF = INTEGRATED;
+
+qb=0.2e-9;
+bfreq=300;
+bcurrent=qb*bfreq;
+
+beam1: BEAM, PARTICLE = ELECTRON, pc = P0,
+ NPART = 2000, BFREQ = bfreq ,
+ BCURRENT = bcurrent, CHARGE =-1;
+
+Select, Line=Benchmark;
+
+track, line= Benchmark, beam=beam1,
+ MAXSTEPS=23000, DT=4e-12, ZSTOP=3;
+
+run, method = "PARALLEL-T", beam = beam1,
+ fieldsolver = Fs1, MULTIPACTING=true;
+endtrack;
+
+Quit;
\ No newline at end of file
diff --git a/doc/user_guide/examples/opal-cycl-sc.in b/doc/user_guide/examples/opal-cycl-sc.in
new file mode 100644
index 0000000000000000000000000000000000000000..b41329bdb80b857c9796c4406895ba40b3daf878
--- /dev/null
+++ b/doc/user_guide/examples/opal-cycl-sc.in
@@ -0,0 +1,85 @@
+ // file name ''testinj2-2.in''
+// Define Option parameters
+Option, ECHO=FALSE;
+Option, PSDUMPFREQ=10;
+Option, SPTDUMPFREQ=5;
+Option, REPARTFREQ=10;
+
+// Define title
+Title,string="OPAL-CyclT-SC test";
+
+// define some physical parameters
+Edes=0.000870;
+gamma=(Edes+PMASS)/PMASS;
+beta=sqrt(1-(1/gamma^2));
+gambet=gamma*beta;
+P0 = gamma*beta*PMASS;
+brho = (PMASS*1.0e9*gambet) / CLIGHT;
+
+phi01= 48.4812-15.0;
+phi02=phi01+200.0;
+phi03=phi01+1800.0;
+phi04=phi01+2000.0;
+phi05=(phi01+820.0)*3.0;
+phi06=(phi01+2620.0)*3.0;
+
+frequency=50.6370;
+frequency3=3.0*frequency;
+
+turns = 106;
+nstep=5000;
+
+// define elements and beamline
+inj2: Cyclotron, TYPE="Injector2", CYHARMON=10, PHIINIT=30.0,
+ PRINIT=-0.0067, RINIT=392.5, SYMMETRY=1.0,
+ RFFREQ=50.6370, FMAPFN="../../ZYKL9Z.NAR";
+
+rf0: RFCavity, VOLT=0.25796, FMAPFN="../../Cav1.dat",
+ TYPE="SINGLEGAP", FREQ=50.637, ANGLE=35.0, PHI0=phi01,
+ RMIN = 350.0, RMAX = 3350.0, PDIS = 0.0, GAPWIDTH = 0.0;
+
+rf1: RFCavity, VOLT=0.25796, FMAPFN="../../Cav1.dat",
+ TYPE="SINGLEGAP", FREQ=50.637, ANGLE=55.0, PHI0=phi02,
+ RMIN = 350.0, RMAX = 3350.0, PDIS = 0.0, GAPWIDTH = 0.0;
+
+rf2: RFCavity, VOLT=0.25796, FMAPFN="../../Cav1.dat",
+ TYPE="SINGLEGAP", FREQ=50.637, ANGLE=215.0, PHI0=phi03,
+ RMIN = 350.0, RMAX = 3350.0, PDIS = 0.0, GAPWIDTH = 0.0;
+
+rf3: RFCavity, VOLT=0.25796, FMAPFN="../../Cav1.dat",
+ TYPE="SINGLEGAP", FREQ=50.637, ANGLE=235.0, PHI0=phi04,
+ RMIN = 350.0, RMAX = 3350.0, PDIS = 0.0, GAPWIDTH = 0.0;
+
+rf4: RFCavity, VOLT=0.06380, FMAPFN="../../Cav3.dat",
+ TYPE="SINGLEGAP", FREQ=151.911, ANGLE=135.0, PHI0=phi05,
+ RMIN = 830.0, RMAX = 3330.0, PDIS = 0.0, GAPWIDTH = 0.0;
+
+rf5: RFCavity, VOLT=0.06380, FMAPFN="../../Cav3.dat",
+ TYPE="SINGLEGAP", FREQ=151.911, ANGLE=315.0, PHI0=phi06,
+ RMIN = 830.0, RMAX = 3330.0, PDIS = 0.0, GAPWIDTH = 0.0;
+
+l1: Line = (inj2,rf0,rf1,rf2,rf3,rf4,rf5);
+
+// define particles distribution, generate Gaussion type
+Dist1:DISTRIBUTION, DISTRIBUTION=gauss,
+ sigmax= 2.0e-03, sigmapx=1.0e-7, corrx=0.0,
+ sigmay= 2.0e-03, sigmapy=1.0e-7, corry=0.0,
+ sigmat= 2.0e-03, sigmapt=1.8e-4, corrt=0.0;
+
+// define parallel FFT fieldsolver, parallel in x y direction
+Fs1:FIELDSOLVER, FSTYPE=FFT, MX=32, MY=32, MT=32,
+ PARFFTX=true, PARFFTY=true, PARFFTT=false,
+ BCFFTX=open, BCFFTY=open, BCFFTT=open,BBOXINCR=5;
+
+// define beam parameters
+beam1: BEAM, PARTICLE=PROTON, pc=P0,
+ NPART=1e5, BCURRENT=3.0E-3, CHARGE=1.0, BFREQ= frequency;
+
+// select beamline
+Select, Line=l1;
+
+// start tracking
+track,line=l1, beam=beam1, MAXSTEPS=nstep*turns, STEPSPERTURN=nstep, TIMEINTEGRATOR="LF-2";
+ run, method = "CYCLOTRON-T", beam=beam1, fieldsolver=Fs1, distribution=Dist1;
+endtrack;
+Stop;
diff --git a/doc/user_guide/examples/opal-cycl.in b/doc/user_guide/examples/opal-cycl.in
new file mode 100644
index 0000000000000000000000000000000000000000..6ecaa4da48966a973c6aa59212c6de3630e6fa94
--- /dev/null
+++ b/doc/user_guide/examples/opal-cycl.in
@@ -0,0 +1,77 @@
+Title,string="OPAL-CyclT test";
+
+Option, ECHO=FALSE;
+Option, PSDUMPFREQ=100000;
+Option, SPTDUMPFREQ=5;
+
+
+// define some physical parameters
+Edes=0.002;
+gamma=(Edes+PMASS)/PMASS;
+beta=sqrt(1-(1/gamma^2));
+gambet=gamma*beta;
+P0 = gamma*beta*PMASS;
+brho = (PMASS*1.0e9*gambet) / CLIGHT;
+value,{gamma,brho,Edes,beta,gambet};
+phi01= 48.4812-15.0;
+phi02=phi01+200.0;
+phi03=phi01+1800.0;
+phi04=phi01+2000.0;
+phi05=(phi01+820.0)*3.0;
+phi06=(phi01+2620.0)*3.0;
+
+turns = 106;
+nstep=5000;
+
+// define elements and beamline
+inj2: Cyclotron, TYPE="Injector2", CYHARMON=10, PHIINIT=30.0,
+ PRINIT=-0.0067, RINIT=392.5, SYMMETRY=1.0,
+ RFFREQ=frequency, FMAPFN="../ZYKL9Z.NAR";
+
+rf0: RFCavity, VOLT=0.25796, FMAPFN="../av1.dat",
+ TYPE="SINGLEGAP", FREQ=frequency, ANGLE=35.0, PHI0=phi01,
+ RMIN = 350.0, RMAX = 3350.0, PDIS = 0.0, GAPWIDTH = 0.0;
+
+rf1: RFCavity, VOLT=0.25796, FMAPFN="../av1.dat",
+ TYPE="SINGLEGAP", FREQ=frequency, ANGLE=55.0, PHI0=phi02,
+ RMIN = 350.0, RMAX = 3350.0, PDIS = 0.0, GAPWIDTH = 0.0;
+
+rf2: RFCavity, VOLT=0.25796, FMAPFN="../av1.dat",
+ TYPE="SINGLEGAP", FREQ=frequency, ANGLE=215.0, PHI0=phi03,
+ RMIN = 350.0, RMAX = 3350.0, PDIS = 0.0, GAPWIDTH = 0.0;
+
+rf3: RFCavity, VOLT=0.25796, FMAPFN="../av1.dat",
+ TYPE="SINGLEGAP", FREQ=frequency, ANGLE=235.0, PHI0=phi04,
+ RMIN = 350.0, RMAX = 3350.0, PDIS = 0.0, GAPWIDTH = 0.0;
+
+rf4: RFCavity, VOLT=0.06380, FMAPFN="../av3.dat",
+ TYPE="SINGLEGAP", FREQ=frequency3, ANGLE=135.0, PHI0=phi05,
+ RMIN = 830.0, RMAX = 3330.0, PDIS = 0.0, GAPWIDTH = 0.0;
+
+rf5: RFCavity, VOLT=0.06380, FMAPFN="../av3.dat",
+ TYPE="SINGLEGAP", FREQ=frequency3, ANGLE=315.0, PHI0=phi06,
+ RMIN = 830.0, RMAX = 3330.0, PDIS = 0.0, GAPWIDTH = 0.0;
+
+l1: Line = (inj2,rf0,rf1,rf2,rf3,rf4,rf5);
+
+// define particles distribution, read from file
+Dist1:DISTRIBUTION, DISTRIBUTION=fromfile,
+ FNAME="PartDatabase.dat";
+
+// usset define fieldsolver, useless for single particle track mode
+Fs1:FIELDSOLVER, FSTYPE=NONE, MX=64, MY=64, MT=64,
+ PARFFTX=true, PARFFTY=true, PARFFTT=false,
+ BCFFTX=open, BCFFTY=open, BCFFTT=open;
+
+// define beam parameters
+beam1: BEAM, PARTICLE=PROTON, pc=P0, NPART=1, BCURRENT=0.0;
+
+// select beamline
+Select, Line=l1;
+
+// start tracking
+track,line=l1, beam=beam1, MAXSTEPS=nstep*turns, STEPSPERTURN=nstep,TIMEINTEGRATOR="RK-4";
+ run, method = "CYCLOTRON-T", beam=beam1, fieldsolver=Fs1, distribution=Dist1;
+endtrack;
+Stop;
+
diff --git a/doc/user_guide/examples/surfacephysics.in b/doc/user_guide/examples/surfacephysics.in
new file mode 100644
index 0000000000000000000000000000000000000000..df69fa8265b0a07ee7b77b8b6dafbff9127d00d8
--- /dev/null
+++ b/doc/user_guide/examples/surfacephysics.in
@@ -0,0 +1,14 @@
+
+KX1IPHYS: SurfacePhysics, TYPE="Collimator",MATERIAL="Copper";
+
+KX2IPHYS: SurfacePhysics, TYPE="Collimator",MATERIAL="Graphite";
+
+KX0I: ECollimator, L=0.09, ELEMEDGE=0.01, APERTURE={0.003,0.003},OUTFN="KX0I.h5",
+ SURFACEPHYSICS='KX1IPHYS';
+
+FX5: Slit, L=0.09, ELEMEDGE=0.01, APERTURE={0.005,0.003},
+ SURFACEPHYSICS='KX2IPHYS';
+
+FX16: Slit, L=0.09, ELEMEDGE=0.01, APERTURE={-0.005,-0.003},
+ SURFACEPHYSICS='KX2IPHYS';
+
diff --git a/doc/user_guide/examples/tuning.sh b/doc/user_guide/examples/tuning.sh
new file mode 100644
index 0000000000000000000000000000000000000000..17ef2fa7d1ac744247919bb528c1e2d7cf94375a
--- /dev/null
+++ b/doc/user_guide/examples/tuning.sh
@@ -0,0 +1,49 @@
+ #!/bin/bash
+ rm -rf tempfile
+ rm -f plotdata
+ rm -f tuningresult
+
+ exec 6<FIXPO_SEO
+ N="260"
+ j="1"
+ while read -u 6 E1 r pr
+ # read in Energy, initil R and intial Pr of each
+ # SEO from FIXPO output
+ do
+ rm -rf tempfile
+ echo -n j =
+ echo "$j"
+ echo -n energy= > tempfile
+ echo -n "$E1" >> tempfile
+ echo ";" >> tempfile
+
+ echo -n r= >> tempfile
+ echo -n "$r" >> tempfile
+ echo ";" >> tempfile
+
+ echo -n pr= >> tempfile
+ echo -n "$pr" >> tempfile
+ echo ";" >> tempfile
+ # execute OPAL to calculate tuning frquency and store
+ opal testcycl.in --commlib mpi --info 0 | \
+ grep "Max" >>tuningresult
+ j=$[$j+1]
+ done
+ exec 6<&-
+ rm -rf tempfile
+
+ # post porcess
+ exec 8<tuningresult
+ rm -f plotdata
+ i="0"
+
+ while [ $i -lt $N ]
+ do
+ read -u 8 a b ur1 d
+ read -u 8 aa bb uz1 dd
+ echo "$ur1 $uz1" >>plotdata
+ i=$[$i+1]
+ done
+
+ exec 8<&-
+ rm -f tuningresult
\ No newline at end of file
diff --git a/doc/user_guide/fieldemission.tex b/doc/user_guide/fieldemission.tex
new file mode 100755
index 0000000000000000000000000000000000000000..91491db9f20073dbe1f765bc8ae56e830f91afad
--- /dev/null
+++ b/doc/user_guide/fieldemission.tex
@@ -0,0 +1,116 @@
+\input{header}
+
+\chapter{Field Emission}
+\label{chp:femiss}
+\index{Field Emission|(}
+Field emission is a major source of both dark current particles and primary
+incident particles in secondary emission. The Fowler-Nordheim (F-N) formula
+we use here to predict the emitted current density is given in \eqnref{units}
+\cite{BC} \cite{FN}
+%
+\begin{equation}\label{eq:units}
+ J(\mathbf{r},t) = \frac{A(\beta E)^2}{\varphi t(y)^2}
+ \exp{\left(\frac{-B v(y)\varphi^{3/2}}{\beta E}\right)}
+ \left[\mathrm{A/m^2}\right]
+\end{equation}
+%
+where $J(\mathbf{r},t)$ stands for emitted electric current density in position
+$\mathbf{r}$ and time $t$. The Greek letters $\varphi$ and $\beta$ denote the
+work function of the surface material and the local field enhancement factor
+respectively. The parameter $E$ is the electric field in the normal direction
+of surface. The parameters $A$ and $B$ are empirical constants. The functions
+$v(y)$ and $t(y)$ representing the image charge effects \cite{BC} as a function
+of the Fowler-Nordheim parameter $y$ with the following definition\cite{DE}
+%
+\begin{equation}\label{eq:imagecharge}
+ y = \sqrt{\frac{e^3}{4\pi\varepsilon}}\frac{\sqrt{\beta E}}{\varphi}
+ = 3.795\times10^{-5}\frac{\sqrt{\beta E}}{\varphi} \text{.}
+\end{equation}
+%
+In our model, we have chosen a simpler approximation originated by J. H. Han\cite{DE}
+\begin{eqnarray*}
+v(y) &=& a-by^2 \\
+t(y) &\approx& 1 \text{.}
+\end{eqnarray*}
+These approximations are valid for a large range of $y$, corresponding to
+typical applied electric field ranges in RF guns.\\
+
+Whenever the normal components of an electric field are strong enough the field
+emission current density will be limited by space charge effect\cite{BC}.
+To cover this situation we incorporated the 1D Child-Langmuir law
+%
+\begin{align}\label{eq:SpaceCharge}
+ J(\mathbf{r},t) & =\frac{4\varepsilon_0}{9}\sqrt{2\frac{e}{m}}\left(\frac{V^{3/2}}{d^2}\right)\notag\\
+ &
+ =\frac{4\varepsilon_0}{9}\sqrt{2\frac{e}{m}}\left(\frac{E^{3/2}}{d^{1/2}}\right)
+ \left[\mathrm{A/m^2}\right]
+\end{align}
+%
+into our field emission model. $J(\mathbf{r},t)$ denotes space charge limited emission
+current density in position $\mathbf{r}$ and time $t$, $\varepsilon_0$ the
+permittivity in vacuum, $E$ the normal component of electric field on the surface
+and $d$ the distance from the position where $E$ is evaluated. Currently we
+choose $d$ to be equal to the distance traveled by emitted particles in one
+time step, i.e., $d=\frac{\displaystyle eE\Delta{t}^2}{\displaystyle 2m_0}$ where $\Delta{t}$ is simulation
+time step.
+
+\section{Field Emission Command}
+\label{sec:FieldEmissionCmd}
+\index{SURFACEEMISSION}
+To perform field emission related simulation, a triangulated surface geometry defined by \keyword{GEOMETRY} command \seechp{geometry} should be specified and attached to the elements (currently only \keyword{RFCavity} element is valid for field emission). A \keyword{SURFACEEMISSION} type of distribution, defined in \keyword{DISTRIBUTION} command should be attached to the \keyword{GEOMETRY} command. And users can customize dark current simulation by specifying the value of the work
+function $\varphi$, local field enhancement factor $\beta$ and other parameters
+present in \eqnref{units,imagecharge} in the \keyword{SURFACEEMISSION} type of distribution definition in input file. See the following example input file and \tabref{fieldfmissioncmd} for a summary of the field emission related command in the \keyword{SURFACEEMISSION} type of distribution definition.\\
+\begin{example}
+DistSurf: DISTRIBUTION, DISTRIBUTION = "SURFACEEMISSION",
+ NPDARKCUR = 0, INWARDMARGIN=0.0,
+ FNBETA = 30, FNMAXEMI = 2,
+ FNFIELDTHR = -0.1;
+ge: GEOMETRY, FGEOM="../New_Gun.h5",
+ S=0.0, DISTR=DistSurf,
+ ZSHIFT=0.0;
+FINSSGUN: RFCavity, L = 0.175,
+ VOLT = 100.0, FMAPFN = "../RF_GUN_PSI-fieldmap.T7" ,
+ GEOMETRY = ge, ELEMEDGE =0.0,
+ TYPE = "STANDING", FREQ = 2997.922938148;
+\ldots
+\end{example}
+
+\begin{table}[ht] \footnotesize
+ \begin{center}
+ \caption{Field Emission Command summary}
+ \label{tab:fieldfmissioncmd}
+ \begin{tabular}{|l|p{0.8\textwidth}|l|}
+ \hline
+ \tabhead{Command & Purpose (Default)}
+ \hline
+ \tabline{FNA}{\index{FNA} Empirical constant A for F-N emission model (\num{1.54e-6})}
+ \tabline{FNB}{\index{FNB} Empirical constant B for F-N emission model (\num{6.83e9})}
+ \tabline{FNY}{\index{FNY} Constant for image charge effect parameter $y(E)$ (\num{3.795e-5})}
+ \tabline{FNVYZERO}{\index{FNVYZERO} Zero order constant for $v(y)$ function (\num{0.9632}}
+ \tabline{FNVYSECOND}{\index{FNVYSECOND} Second order constant for $v(y)$ function (\num{1.065})}
+ \tabline{FNPHIW}{\index{FNPHIW} Work function of gun surface material (\SI{4.65}{\electronvolt})}
+ \tabline{FNBETA}{\index{FNBETA} Field enhancement factor $\beta$ for F-N emission (\num{50.0})}
+ \tabline{FNFIELDTHR}{\index{FNFIELDTHR} Field threshold for F-N emission (\SI{30.0}{\mega\volt/\meter})}
+ \tabline{FNMAXEMI}{\index{FNMAXEMI} Maximum Number of electrons emitted from a single triangle in each time step (\num{10})}
+ \tabline{NPDARKCUR}{\index{NPDARKCUR} \TODO{Describe attribute}}
+ \tabline{INWARDMARGIN}{\index{INWARDMARGIN} \TODO{Describe attribute}}
+ \tabline{EINITHR}{\index{EINITHR} \TODO{Descirbe attribute}}
+ \tabline{SECONDARYFLAG}{\index{SECONDARYFLAG} \TODO{Descirbe attribute}}
+ \tabline{NEMISSIONMODE}{\index{NEMISSIONMODE} \TODO{Descirbe attribute}}
+ \tabline{VSEYZERO}{\index{VSEYZERO} \TODO{Descirbe attribute}}
+ \tabline{VEZERO}{\index{VEZERO} \TODO{Descirbe attribute}}
+ \tabline{VSEYMAX}{\index{VSEYMAX} \TODO{Descirbe attribute}}
+ \tabline{VEMAX}{\index{VEMAX} \TODO{Descirbe attribute}}
+ \tabline{VKENERGY}{\index{VKENERGY} \TODO{Descirbe attribute}}
+ \tabline{VKTHETA}{\index{VKTHETA} \TODO{Descirbe attribute}}
+ \tabline{VVTHERMAL}{\index{VVTHERMAL} \TODO{Descirbe attribute}}
+ \tabline{VW}{\index{VW} \TODO{Descirbe attribute}}
+ \tabline{SURFMATERIAL}{\index{SURFMATERIAL} \TODO{Descirbe attribute}}
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\index{Field Emission|)}
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/fieldmaps.tex b/doc/user_guide/fieldmaps.tex
new file mode 100644
index 0000000000000000000000000000000000000000..7526a45bf597a90bb8fbc8b404fe1ef79c1cfc58
--- /dev/null
+++ b/doc/user_guide/fieldmaps.tex
@@ -0,0 +1,1336 @@
+\input{header}
+
+\chapter{\opalt Field Maps}
+
+\section{Introduction}
+\label{chp:app_fieldmaps}
+In this chapter details of the different types of field maps in \opalt are presented. \opalt can use many different types of
+field maps input in several different file formats. What types of maps are supported and in what format has tended to be a function
+mostly of what developers have needed, and to a lesser extent what users have asked for. The list below shows all field maps that
+are currently supported and also field maps that are not yet supported, but on the list of things to do when we get a chance.
+
+\section{Comments in Field Maps}
+The possibility to add comments (almost)
+everywhere in field map files is common to all field maps. Comments are initiated by a \# and contain the rest of a line. Comments are
+accepted at the beginning of the file, between the lines and at the end of a line. If in the following sections two values are
+shown on one line then they have to be on the same line. They should not be separated by a comment and, consequently, be on
+different lines. Three examples of valid comments:
+\begin{example}
+# This is valid a comment
+1DMagnetoStatic 40 # This is another valid comment
+-60.0 60.0 9999
+ # and this is also a valid comment
+0.0 2.0 199
+\end{example}
+The following examples will break the parsing of the field maps:
+\begin{example}
+1DMagnetoStatic # This is an invalid comment
+40
+-60.0 60.0 # This is another invalid comment # 9999
+0.0 2.0 199
+\end{example}
+
+\section{Field Map Warnings and Errors}
+\index{Field Map!Warnings}
+\index{Field Map!Errors}
+If \opalt encounters an error while parsing a field map it disables the corresponding element, outputs a warning message and
+continues the simulation. The following messages may be output:
+
+\begin{example}
+************ W A R N I N G ***********************************
+THERE SEEMS TO BE SOMETHING WRONG WITH YOUR FIELD MAP file.t7.
+There are only 10003 lines in the file, expecting more.
+Please check the section about field maps in the user manual.
+**************************************************************
+\end{example}
+In this example there is something wrong with the number of grid spacings provided in the header of the file. Make sure that you provide the number of grid {\bf spacings} and not the number of grid {\bf points}! The two numbers always differ by 1.
+\begin{example}
+************ W A R N I N G ***********************************
+THERE SEEMS TO BE SOMETHING WRONG WITH YOUR FIELD MAP file.t7.
+There are too many lines in the file, expecting only 10003 lines.
+Please check the section about field maps in the user manual.
+**************************************************************
+\end{example}
+Again there seems to be something wrong with the number of grid spacings provided in the header. In this example \opalt found more lines than it expected. Note that comments and empty lines at the end of a file are ignored such that {\bf they don't cause} this warning.
+
+\begin{example}
+************ W A R N I N G ***********************************
+THERE SEEMS TO BE SOMETHING WRONG WITH YOUR FIELD MAP file.t7.
+_error_msg_
+expecting: '_expecting_' on line 3,
+found instead: '_found_'.
+**************************************************************
+\end{example}
+Where \texttt{\footnotesize \_error\_msg\_} is either
+\begin{table}[h!] \footnotesize
+ \begin{tabular}{lp{6cm}}
+ \hline
+ \texttt{\footnotesize Didn't find enough values!} & If \opalt expects more values on this line. \\
+ \texttt{\footnotesize Found more values than expected!} & If \opalt expects less values on this line. \\
+ \texttt{\footnotesize Found wrong type of values!} & If \opalt found e.g. characters instead of an integer number. \\
+ \hline
+ \end{tabular}
+\end{table}
+
+\texttt{\footnotesize `\_expecting\_'} is replaced by the types of values \opalt expects on the line. E.g. it could be replaced by \texttt{\footnotesize `double double int'}. Finally \texttt{\footnotesize `\_found\_'} is replaced by the actual content of the line without any comment possibly following the values. If line 3 of a file consists of \texttt{\footnotesize `-60.0 60.0 \# This is an other invalid comment \# 9999'} \opalt will output \texttt{\footnotesize `-60.0 60.0'}.
+\begin{example}
+************** W A R N I N G *********************************
+DISABLING FIELD MAP file.t7 SINCE FILE COULDN'T BE FOUND!
+**************************************************************
+\end{example}
+This warning could be issued if the file name is mistyped or otherwise if the file couldn't be read.
+
+\begin{example}
+************ W A R N I N G **********************************
+THERE SEEMS TO BE SOMETHING WRONG WITH YOUR FIELDMAP file.t7.
+Could not determine the file type.
+Please check the section about field maps in the user manual.
+*************************************************************
+\end{example}
+In this case \opalt didn't recognize the string of characters which identify the type of field map stored in the file.
+
+For one-dimensional field maps an other warning may be issued:
+\begin{example}
+* ************ W A R N I N G ***************************************************
+* IT SEEMS THAT YOU USE TOO FEW FOURIER COMPONENTS TO SUFFICIENTLY WELL *
+* RESOLVE THE FIELD MAP 'file.T7'. *
+* PLEASE INCREASE THE NUMBER OF FOURIER COMPONENTS! *
+* The ratio (f_i - F_i)^2 / F_i^2 is 0.019685 and *
+* the ratio (max_i(|f_i - F_i|) / max_i(|F_i|) is 0.019023. *
+* Here F_i is the field as in the field map and f_i is the reconstructed *
+* field. *
+* The lower limit for the two ratios is 1e-2 *
+* ******************************************************************************
+\end{example}
+This warning is issued when the low pass filter that is applied to the field sampling uses too few Fourier coefficients. In this case increase the number of Fourier coefficients, see the next section for details. The relevant criteria are that
+\begin{equation*}
+ \frac{\sum_{i=1}^N (F_{z,i} - \tilde{F}_{z,i})^2}{\sum_{i=1}^N F_{z,i}^2} \le 0.01,
+\end{equation*}
+and
+\begin{equation*}
+ \frac{\max_i |F_{z,i} - \tilde{F}_{z,i}|}{\max_i |F_{z,i}|} \le 0.01,
+\end{equation*}
+where $F_{z_i}$ is the field sampling as in the file and $\tilde{F}_{z,i}$ is the one-dimensional field reconstructed from the result received after applying the low pass filter.
+
+\section{Types and Format}
+\label{sec:fieldmaps}
+\index{Field Map!Types}
+\index{Field Map!Format}
+Field maps in \opalt come in three basic types:
+
+\begin{enumerate}
+\item 2D or 3D field map. For this type of map, a field is specified on a grid and linear interpolation is used to find field
+ values at intermediate points.
+\item 1D on axis field map. For this type of map, on on axis field profile is specified. \opalt calculates a Fourier series
+ from this profile and then uses the \engordnumber{1}, \engordnumber{2} and \engordnumber{3} derivatives of the series to
+ compute the off-axis field values. (This type of field is very smooth numerically, but can be inaccurate far from the
+ field axis.) Only a few (user specified) terms from the Fourier series are used.
+\item Enge function \cite{enge} field map. This type of field map uses Enge functions to describe the fringe fields of
+ a magnet. Currently, this is only used for \keyword{RBEND} and \keyword{SBEND} elements \seessec{RBend,SBend}.
+\end{enumerate}
+It is important to note that in all cases, the input field map will be normalized so that the peak field magnitude value on axis is equal
+to either 1 MV/m in the case of electric field maps (static or dynamic), or 1 T in the case of magnetic field maps. (The sign
+of the values from the field map are preserved.) Therefore,
+the field multiplier for the map in your simulation will be the peak field value on axis in those respective units.
+
+Depending on the field map type, \opalt uses different length units (either cm or meters). This is due to the origin programs
+of the field maps used (e.g. Poisson/Superfish \cite{superfish} uses cm). So be careful.
+
+There are no required field extensions for any \opalt field map (e.g. .T7, .dat etc.). \opalt determines the type of field
+map by a string descriptor which is the first element on the first line of the file. Below we list the possible descriptors.
+(Note that we list all of the descriptors/field map types that we plan to eventually implement. Not all of them are, which
+is indicated in the description.)
+
+\begin{description}
+\item[1DElectroStatic] \Newline
+1D electrostatic field map. 1D field maps are described by the on-axis field.\\
+\textbf{\emph{Not implemented yet}}. A work around is to use a 1DDynamic field map with a very low frequency.
+
+\item[1DMagnetoStatic] \Newline
+1D magnetostatic field map. See \secref{1DMagnetoStatic}.
+
+\item[AstraMagnetoStatic] \Newline
+1D magnetostatic field map with possibly non-equidistant sampling. This file type is compatible with ASTRA field maps
+with small changes. See \secref{ AstraMagnetostatic}.
+
+\item[1DDynamic] \Newline
+1D dynamic electromagnetic field map. See \secref{1DDynamic}.
+
+\item[AstraDynamic] \Newline
+1D dynamic electromagnetic field map with possibly non-equidistant sampling. This file type is compatible with ASTRA
+field maps with small changes. See \secref{AstraDynamic}.
+
+\item[1DProfile1] \Newline
+This type of field map specifies the Enge functions (see \cite{enge}) for the entrance and exit fringe fields of a
+magnet. Currently this type of field map is only used by \keyword{RBEND} and
+\keyword{SBEND} elements \seessec{RBend,SBend}. See \secref{1DProfile1}.
+
+\item[2DElectroStatic] \Newline
+2D electrostatic field map. 2D field maps are described by the electromagnetic field in one half-plane.
+See \secref{2DElectroStatic}.
+
+\item[2DMagnetoStatic] \Newline
+2D magnetostatic field map. Other than this descriptor at the head of the file, the format for this field map type
+is identical to the T7 file format as produced by Poisson~\cite{superfish}. See \secref{2DMagnetoStatic}.
+
+\item[2DDynamic] \Newline
+2D dynamic electromagnetic field map. Other than this descriptor at the head of the file, the format for this field
+map type is identical to the T7 field format as produced by Superfish~\cite{superfish}. See \secref{2DDynamic}.
+
+\item[3DElectroStatic] \Newline
+3D electrostatic field map.\\
+\textbf{\emph{Not implemented yet}}.
+
+\item[3DMagnetoStatic] \Newline
+3D magnetostatic field map, see \secref{3DMagnetoStatic}.
+
+\item[{3DMagnetoStatic\_Extended}] \Newline
+2D magnetostatic field map of field on mid-plane that \opal extends to 3D.\\
+
+\item[3DDynamic] \Newline
+3D dynamic electromagnetic field map. See \secref{3DDynamic}.
+\end{description}
+
+We will give examples and descriptions of each of the implemented field map types in the sections below.
+
+\section{Field Map Orientation}
+\label{sec:fieldorientation}
+\index{Field Map!Orientation}
+In the case of 2D and 3D field maps an additional string has to be provided describing the orientation of the field map.
+
+For 2D field maps this can either be
+\begin{description}
+\item[XZ]\Newline
+if the primary direction is in z direction and the secondary in r direction.
+\item[ZX]\Newline
+if the primary direction is in r direction and the secondary in z direction.
+\end{description}
+
+For 3D field maps this can be
+\begin{description}
+\item[XYZ]\Newline
+if the primary direction is in z direction, the secondary in y direction and the tertiary in x direction
+%\item[YXZ]\Newline
+%if the primary direction is in z direction, the secondary in y direction and the tertiary in x direction.\\
+%Not implemented yet!
+%\item[ZYX]\Newline
+%if the primary direction is in x direction, the secondary in z direction and the tertiary in y direction.\\
+%Not implemented yet!
+%\item[YZX]\Newline
+%if the primary direction is in x direction, the secondary in y direction and the tertiary in z direction.\\
+%Not implemented yet!
+%\item[XZY]\Newline
+%if the primary direction is in y direction, the secondary in x direction and the tertiary in z direction.\\
+%Not implemented yet!
+%\item[ZXY]\Newline
+%if the primary direction is in y direction, the secondary in z direction and the tertiary in x direction.\\
+%Not implemented yet!
+\end{description}
+
+Each line after the header corresponds to a grid point of the field map. This point can be referred to by two indices in
+the case of a 2D field map and three indices in the case of a 3D field map, respectively. Each column describes either
+$E_z,\; E_r,\; B_z,\; B_r\; \text{or}\;H_{\phi}$ in the 2D case and $E_x\;, E_y\;, E_z,\; B_x,\; B_y,\;B_z$ in the 3D case.
+
+By primary, secondary and tertiary direction is meant the following (see also \figref{order1} and \figref{order2}):
+\begin{itemize}
+\item
+The index of the primary direction increases the fastest, the index of the tertiary direction the slowest.
+\item
+The order of the columns is accordingly: if the z direction in an 2D electrostatic field map is the primary direction then $E_z$ is
+on the first column, $E_r$ on the second. For all other cases it's analogous.
+\item
+For the 2D dynamic case in XZ orientation there are four columns: $E_z$, $E_r$, $|E|$ (unused) and $H_{\phi}$ in that order.
+In the other orientations the first and the second columns are interchanged ,but the third and fourth columns are unchanged.
+\end{itemize}
+
+%======================FIGURE===============================
+\begin{figure}[tb]
+\centering
+\subfloat[XZ orientation]{\label{fig:order1} \includegraphics[width=0.45\textwidth]{./figures/Fieldmaps/order-1.pdf} }
+\hspace{0.05\textwidth}
+\subfloat[ZX orientation]{\label{fig:order2} \includegraphics[width=0.45\textwidth]{./figures/Fieldmaps/order-2.pdf} }
+\caption[]{Ordering of points for 2D field maps in T7 files}
+\label{fig:fieldmap_ordering}
+\end{figure}
+%===========================================================
+
+\section{FAST Attribute for 1D Field Maps}
+\label{sec:fastattribute}
+\index{Field Map!FAST}
+For some 1D field maps, there exists a Boolean attribute, \keyword{FAST}, which can be used to speed up the calculation. When set to true
+(\keyword{FAST = TRUE}), \opalt will generate a 2D internal field map and then use bi-linear interpolation to calculate field values
+during the simulation, rather than the generally slower Fourier coefficient technique. The caution here is that this can introduce
+unwanted numerical noise if you set the grid spacing too coarse for the 2D map.
+
+\leftpointright As a general warning: be wise when you choose the type of field map to be used! \figref{fieldnoiseexample} shows
+three pictures of the longitudinal phase space after three gun simulations using different types of field maps. In the first picture,
+\figref{1ddynamic_step82}, we used a 1DDynamic field map \seesec{1DDynamic} resulting in a smooth longitudinal
+distribution. In \figref{1ddynamic_fast_step82} we set the \keyword{FAST} attribute to true, resulting in some fine structure
+in the phase space due to the bi-linear interpolation of the internally generated 2D field map. Finally, in the last figure
+(\figref{2ddynamic_step82}), we generated directly a 2D field map from Superfish~\cite{superfish}. Here we could
+observe two different structures: first the fine structure, stemming from the bi-linear interpolation, and secondly a much stronger
+structure of unknown origin, but presumably due to errors in the Superfish~\cite{superfish} interpolation algorithm.
+
+%======================FIGURE===============================
+\begin{figure}[tb]
+\centering
+\subfloat[1D]{\label{fig:1ddynamic_step82} \includegraphics[width=0.32\textwidth]{./figures/Fieldmaps/1DDynamic_step82.png}}
+\subfloat[1D FAST]{ \label{fig:1ddynamic_fast_step82} \includegraphics[width=0.32\textwidth]{./figures/Fieldmaps/1DDynamic_fast_step82.png}}
+\subfloat[2D]{ \label{fig:2ddynamic_step82} \includegraphics[width=0.32\textwidth]{./figures/Fieldmaps/2DDynamic_step82.png}}
+ \caption{The longitudinal phase space after a gun simulation using a 1D field map (on-axis field) of the gun, a 1D field map
+ (on-axis field) of the gun in combination with the \keyword{FAST} switch, and a 2D field map of the gun generated by
+ Superfish~\cite{superfish}.}
+\label{fig:fieldnoiseexample}
+
+\end{figure}
+%===========================================================
+
+
+\clearpage
+\section{1DMagnetoStatic}
+\label{sec:1DMagnetoStatic}
+\index{1DMagnetoStatic}
+\index{Field Map!1DMagnetoStatic}
+\begin{figure}[h]
+ \begin{fmpage}
+\begin{verbatim}
+1DMagnetoStatic 40
+-60.0 60.0 9999
+ 0.0 2.0 199
+ 0.00000e+00
+ 4.36222e-06
+ 8.83270e-06
+ + 9'994 lines
+ 1.32490e-05
+ 1.73710e-05
+ 2.18598e-05
+\end{verbatim}
+ \end{fmpage}
+ \caption[Example of a 1DMagnetoStatic field map]{A 1D field map describing a magnetostatic field using 10000 grid points
+ (9999 grid spacings) in the longitudinal direction. The field is non-negligible from \SI{-60.0}{\centi\meter} to \SI{+60.0}{\centi\meter}
+ relative to \keyword{ELEMEDGE} in the longitudinal direction. From the 10000 field values, 5000 complex Fourier coefficients are
+ calculated. However, only 40 are kept when calculating field values during a simulation. \opalt normalizes the field values
+ internally such that $\max(|B_{\text{on axis}}|) = \SI{1.0}{\tesla}$. If the \keyword{FAST} attribute is set to true in the input
+ deck, a 2D field map is generated internally with 200 values in the radial direction, from \SI{0}{\centi\meter} to \SI{2}{\centi\meter}, for each
+ longitudinal grid point.}
+ \label{fig:1DMagnetoStatic}
+\end{figure}
+\begin{table}[h!]
+ \caption{Layout of a \texttt{1DMagnetoStatic} field map file.}
+ \label{tab:1DMagnetoStatic}
+ \begin{center}
+ \begin{tabular}{lll}
+ \hline
+ 1DMagnetoStatic & $N_{Fourier}$ & \\
+ $z_{start}$ (in cm) & $z_{end}$ (in cm) & $N_{z}$ \\
+ $r_{start}$ (in cm) & $r_{end}$ (in cm) & $N_{r}$ \\
+ $B_{z,\,1}$ (T) & & \\
+ $B_{z,\,2}$ (T) & & \\
+ . & & \\
+ . & & \\
+ . & & \\
+ $B_{z,\,N_{z} + 1}$ (T) & & \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+A \texttt{1DMagnetoStatic} field map has the general form shown in \tabref{1DMagnetoStatic}. The first three lines form
+the file header and tell \opalt how the field map data is being presented:
+
+\begin{description}
+\item[Line 1] This tells \opalt what type of field file it is (\texttt{1DMagnetoStatic}) and how many Fourier coefficients to
+ keep ($N_{Fourier}$) when doing field calculations.
+\item[Line 2] This tells gives the extent of the field map (from $z_{start}$ to $z_{end}$) relative to the \keyword{ELEMEDGE} of
+ the field map, and how many grid spacings there are in the field map.
+\item[Line 3] If one sets \keyword{FAST = TRUE} for the field map, this tells \opalt the radial extent of the internally
+ generated 2D field map. Otherwise this line is ignored. (Although it must always be present.)
+\end{description}
+
+The lines following the header give the 1D field map grid values from $1$ to $N_{z} + 1$. From these, $N_{z}/2$
+complex Fourier coefficients are calculated, of which only $N_{Fourier}$ are used when finding field values during the
+simulation.
+
+\figref{1DMagnetoStatic} gives an example of a \texttt{1DMagnetoStatic} field file.
+
+\clearpage
+
+\section{AstraMagnetostatic}
+\label{sec: AstraMagnetostatic}
+\index{AstraMagnetostatic}
+\index{Field Map!AstraMagnetostatic}
+\begin{figure}[h]
+ \begin{fmpage}
+\begin{verbatim}
+AstraMagnetostatic 40
+ -3.0000000e-01 0.0000000e+00
+ -2.9800000e-01 2.9075045e-05
+ -2.9600000e-01 5.9367702e-05
+ -2.9400000e-01 9.0866460e-05
+ -2.9200000e-01 1.2374798e-04
+ -2.9000000e-01 1.5799850e-04
+....
+ 2.9000000e-01 1.5799850e-04
+ 2.9200000e-01 1.2374798e-04
+ 2.9400000e-01 9.0866460e-05
+ 2.9600000e-01 5.9367702e-05
+ 2.9800000e-01 2.9075045e-05
+ 3.0000000e-01 0.0000000e+00
+\end{verbatim}
+ \end{fmpage}
+ \caption[Example of an ASTRA compatible magnetostatic field map]{A 1D field map describing a magnetostatic field using $N$
+ non-equidistant grid points in the longitudinal direction. From these values $N$ equidistant field values are computed from
+ which in turn $N/2$ complex Fourier coefficients are calculated. In this example only 40 Fourier coefficients are kept
+ when calculating field values during a simulation. The z-position of each field sampling is in the \engordnumber{1}
+ column (in meters), the corresponding longitudinal on-axis magnetic field amplitude is in the \engordnumber{2} column.
+ As with the 1DMagnetoStatic \seesec{1DMagnetoStatic} field maps, \opalt normalizes the field values to
+ $\max(|B_{\text{on axis}}|) = \SI{1.0}{\tesla}$. In the header only the first line is needed since the information on the
+ longitudinal dimension is contained in the first column of the data. (\opalt does not provide a \keyword{FAST} version of
+ this map type.)}
+ \label{fig:AstraMagnetoStatic}
+\end{figure}
+
+\begin{table}[h!]
+ \caption{Layout of an \texttt{AstraMagnetoStatic} field map file.}
+ \label{tab:AstraMagnetoStatic}
+ \begin{center}
+ \begin{tabular}{ll}
+ \hline
+ AstraMagnetoStatic & $N_{Fourier}$ \\
+ $z_{1}$ (in meters) & $B_{z,\,1}$ (T) \\
+ $z_{2}$ (in meters) & $B_{z,\,s}$ (T) \\
+ . & \\
+ . & \\
+ . & \\
+ $z_{N}$ (in meters) & $B_{z,\,N}$ (T) \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+An \texttt{AstraMagnetoStatic} field map has the general form shown in \tabref{AstraMagnetoStatic}. The first line forms
+the file header and tells \opalt how the field map data is being presented:
+
+\begin{description}
+\item[Line 1] This tells \opalt what type of field file it is (\texttt{AstraMagnetoStatic}) and how many Fourier coefficients to
+ keep ($N_{Fourier}$) when doing field calculations.
+\end{description}
+
+The lines following the header gives $N$ non-equidistant field values and their corresponding $z$ positions (relative
+to \keyword{ELEMEDGE}). From these, \opalt will use cubic spline interpolation to find $N$ equidistant field values
+within the range defined by the $z$ positions. From these equidistant field values, $N/2$ complex Fourier coefficients
+are calculated, of which only $N_{Fourier}$ are used when finding field values during the simulation.
+
+\figref{AstraMagnetoStatic} gives an example of an \texttt{AstraMagnetoStatic} field file.
+
+\clearpage
+
+\section{1DDynamic}
+\label{sec:1DDynamic}
+\index{1DDynamic}
+\index{Field Map!1DDynamic}
+\begin{figure}[h]
+ \begin{fmpage}
+\begin{verbatim}
+1DDynamic 40
+-3.0 57.0 4999
+1498.953425154
+0.0 2.0 199
+ 0.00000e+00
+ 4.36222e-06
+ 8.83270e-06
+ + 4'994 lines
+ 1.32490e-05
+ 1.73710e-05
+ 2.18598e-05
+\end{verbatim}
+ \end{fmpage}
+ \caption[Example of a 1DDynamic field map]{A 1D field map describing a dynamic field using 5000 grid points (4999 grid
+ spacings) in the longitudinal direction. The field is non-negligible from \SI{-3.0}{\centi\meter} to \SI{57.0}{\centi\meter} relative to \keyword{ELEMEDGE}
+ in the longitudinal direction. The field frequency is \SI{1498.953425154}{\mega\hertz}. From the 5000 field values, 2500 complex
+ Fourier coefficients are calculated. However, only 40 are kept when calculating field values during the simulation.
+ \opalt normalizes the field values internally such that $max(|E_{on axis}|) = \SI{1}{\mega\volt/\meter}$. If the \keyword{FAST} switch is set to true
+ in the input deck, a 2D field map is generated internally with 200 values in the radial direction, from \SI{0.0}{\centi\meter} to
+ \SI{2.0}{\centi\meter}, for each longitudinal grid point.}
+ \label{fig:1DDynamic}
+\end{figure}
+
+\begin{table}[h!]
+ \caption{Layout of a \texttt{1DDynamic} field map file.}
+ \label{tab:1DDynamic}
+ \begin{center}
+ \begin{tabular}{lll}
+ \hline
+ 1DDynamic & $N_{Fourier}$ & \\
+ $z_{start}$ (in cm) & $z_{end}$ (in cm) & $N_{z}$ \\
+ $Frequency$ (in MHz)& & \\
+ $r_{start}$ (in cm) & $r_{end}$ (in cm) & $N_{r}$ \\
+ $E_{z,\,1}$ (MV/m) & & \\
+ $E_{z,\,2}$ (MV/m) & & \\
+ . & & \\
+ . & & \\
+ . & & \\
+ $E_{z,\,N_{z} + 1}$ (MV/m) & & \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+A \texttt{1DDynamic} field map has the general form shown in \tabref{1DDynamic}. The first four lines form
+the file header and tell \opalt how the field map data is being presented:
+
+\begin{description}
+\item[Line 1] This tells \opalt what type of field file it is (\texttt{1DDynamic}) and how many Fourier coefficients to
+ keep ($N_{Fourier}$) when doing field calculations.
+\item[Line 2] This tells gives the extent of the field map (from $z_{start}$ to $z_{end}$) relative to the \keyword{ELEMEDGE} of
+ the field map, and how many grid spacings there are in the field map.
+\item[Line 3] Field frequency.
+\item[Line 4] If one sets \keyword{FAST = TRUE} for the field map, this tells \opalt the radial extent of the internally
+ generated 2D field map. Otherwise this line is ignored. (Although it must always be present.)
+\end{description}
+
+The lines following the header give the 1D field map grid values from $1$ to $N_{z} + 1$. From these, $N_{z}/2$
+complex Fourier coefficients are calculated, of which only $N_{Fourier}$ are used when finding field values during the
+simulation.
+
+\figref{1DDynamic} gives an example of a \texttt{1DDynamic} field file.
+
+\clearpage
+
+\section{AstraDynamic}
+\label{sec:AstraDynamic}
+\index{AstraDynamic}
+\index{Field Map!AstraDynamic}
+\begin{figure}[h]
+\begin{fmpage}
+\begin{verbatim}
+AstraDynamic 40
+2997.924
+ 0.0000000e+00 0.0000000e+00
+ 5.0007941e-04 2.8090000e-04
+ 9.9991114e-04 5.6553000e-04
+ 1.4996762e-03 8.4103000e-04
+ ....
+ 1.9741957e-01 1.4295000e-03
+ 1.9792448e-01 1.1306000e-03
+ 1.9841987e-01 8.4103000e-04
+ 1.9891525e-01 5.6553000e-04
+ 1.9942016e-01 2.8090000e-04
+ 1.9991554e-01 0.0000000e+00
+\end{verbatim}
+\end{fmpage}
+\caption[Example of an ASTRA compatible dynamic field map]{A 1D field map describing a dynamic field using $N$
+ non-equidistant grid points in longitudinal direction. From these $N$ non-equidistant field values $N$ equidistant
+ field values are computed from which in turn $N/2$ complex Fourier coefficients are calculated. In this example
+ only 40 Fourier coefficients are kept when calculating field values during the simulation. The z-position of each
+ sampling is in the \engordnumber{1} column (in meters), the corresponding longitudinal on-axis electric field amplitude
+ is in the \engordnumber{2} column. \opalt normalizes the field values such that $\max(|E_{\text{on axis}}|) = \SI{1}{\mega\volt/\meter}$.
+ The frequency of this field is \SI{2997.924}{\mega\hertz}. (\opalt does not provide a \keyword{FAST} version of this map type.)
+}
+\label{fig:AstraDynamic}
+\end{figure}
+
+\begin{table}[h!]
+ \caption{Layout of an \texttt{AstraDynamic} field map file.}
+ \label{tab:AstraDynamic}
+ \begin{center}
+ \begin{tabular}{ll}
+ \hline
+ AstraMagnetoStatic & $N_{Fourier}$ \\
+ $Frequency$ (in MHz) & \\
+ $z_{1}$ (in meters) & $E_{z,\,1}$ (MV/m) \\
+ $z_{2}$ (in meters) & $E_{z,\,s}$ (MV/m) \\
+ . & \\
+ . & \\
+ . & \\
+ $z_{N}$ (in meters) & $E_{z,\,N}$ (MV/m) \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+An \texttt{AstraDynamic} field map has the general form shown in \tabref{AstraDynamic}. The first line forms
+the file header and tells \opalt how the field map data is being presented:
+
+\begin{description}
+\item[Line 1] This tells \opalt what type of field file it is (\texttt{AstraDynamic}) and how many Fourier coefficients to
+ keep ($N_{Fourier}$) when doing field calculations.
+\item[Line 2] Field frequency.
+\end{description}
+
+The lines following the header gives $N$ non-equidistant field values and their corresponding $z$ positions (relative
+to \keyword{ELEMEDGE}). From these, \opalt will use cubic spline interpolation to find $N$ equidistant field values
+within the range defined by the $z$ positions. From these equidistant field values, $N/2$ complex Fourier coefficients
+are calculated, of which only $N_{Fourier}$ are used when finding field values during the simulation.
+
+\figref{AstraDynamic} gives an example of an \texttt{AstraDynamic} field file.
+
+\clearpage
+
+
+\section{1DProfile1}
+\label{sec:1DProfile1}
+\index{1DProfile1}
+\index{Field Map!1DProfile1}
+A \texttt{1DProfile1} field map is used to define Enge functions \cite{enge} that describe the fringe fields for the entrance and exit of a magnet:
+
+\begin{equation*}
+ F(z) = \frac{1}{1 + e^{\sum\limits_{n=0}^{N_{order}} c_{n} (z/D)^{n}}}
+\end{equation*}
+where $D$ is the full gap of the magnet, $N_{order}$ is the Enge function order and $z$ is the distance from the Enge function origin perpendicular to the edge of the magnet. The constants, $c_n$, and the Enge function origin are fitted parameters chosen to best represent the fringe field of the magnet being modeled.
+
+A \texttt{1DProfile1} field map describes two Enge functions: one for the magnet entrance and one for the magnet exit. An illustration of this is shown in \figref{rbend_field_profile}. In the top part of the figure we see a plot of the relative magnet field strength along the mid-plane for a rectangular dipole magnet. To describe this field with a \texttt{1DProfile1} field map, an Enge function is fit to the entrance fringe field between \emph{zbegin\_entry} and \emph{zend\_entry} in the figure, using the indicated entrance origin. Likewise, an Enge function is fit to the exit fringe field between \emph{zbegin\_exit} and \emph{zend\_exit} using the indicated exit origin. The parameters for these two Enge functions are subsequently entered into a \texttt{1DProfile1} field map, as described below.
+
+Currently, \texttt{1DProfile1} field maps are only implemented for \keyword{RBEND} and \keyword{SBEND} elements \seessec{RBend,SBend,opaltrbendsbendfields}.
+
+
+\begin{figure}[tb]
+\begin{center}
+\includegraphics[width=\textwidth]{./figures/Fieldmaps/profile-1.pdf}
+\end{center}
+\caption{Example of Enge functions describing the entrance and exit fringe fields of a rectangular bend magnet. The top part of the figure shows the relative field strength on the mid-plane. The bottom part of the figure shows an example of a particle trajectory through the magnet. Note that the magnet field is naturally divided into three regions: entrance fringe field, central field, and exit fringe field.}
+\label{fig:rbend_field_profile}
+\end{figure}
+
+\clearpage
+
+A \texttt{1DProfile1} field map has the general form shown in \tabref{1DProfile1}. The first three lines form
+the file header and tell \opalt how the field map data is being presented:
+
+\begin{description}
+\item[Line 1] This tells \opalt what type of field file it is (\texttt{1DProfile1}), the Enge coefficient order
+ for the entrance fringe fields ($N_{Enge\,Entrance}$), the Enge coefficient order for the exit fringe fields
+ ($N_{Enge\,Exit}$), and the gap of the magnet.
+\item[Line 2] The first three values on the second line are used to define the extent of the fringe fields for the
+ entrance region of the magnet. This can be done two different ways as will be described below \seessec{1DProfile1Type1,1DProfile1Type2}.
+ The fourth value on line 2 is not currently used (but must still be present).
+\item[Line 3] The first three values on the third line are used to define the extent of the fringe fields for the
+ exit region of the magnet. This can be done two different ways as will be described below \seessec{1DProfile1Type1,1DProfile1Type2}.
+ The fourth value on line 3 is not currently used (but must still be present).
+\end{description}
+
+The lines following the three header lines give the entrance region Enge coefficients from $c_0$ to $c_{N_{Enge\,Entrance}}$, followed
+by the exit region Enge coefficients from $c_0$ to $c_{N_{Enge\,Exit}}$.
+
+There are two types of \texttt{1DProfile1} field map files: \texttt{1DProfile Type 1} and \texttt{1DProfile1 Type 2}. The difference
+between the two is a small change in how the entrance and exit fringe field regions are described. This will be explained in
+\ssecref{1DProfile1Type1} and \ssecref{1DProfile1Type2}.
+
+\begin{table}[h!]
+ \caption{Layout of a \texttt{1DProfile1} field map file.}
+ \label{tab:1DProfile1}
+ \begin{center}
+ \begin{tabular}{llll}
+ \hline
+ 1DProfile1 & $N_{Enge\,Entrance}$ & $N_{Enge\,Exit}$ & $Gap$ (in cm)\\
+ Entrance Parameter 1 (in cm) & Entrance Parameter 2 (in cm) & Entrance Parameter 3 & Place Holder\\
+ Exit Parameter 1 (in cm) & Exit Parameter 2 (in cm) & Exit Parameter 3 & Place Holder\\
+ $c_{0\, Entrance}$ & & & \\
+ $c_{1\, Entrance}$ & & & \\
+ . & & & \\
+ . & & & \\
+ . & & & \\
+ $c_{N_{Enge\,Entrance}}$ & & & \\
+ $c_{0\,Exit}$ & & & \\
+ $c_{1\,Exit}$ & & & \\
+ . & & & \\
+ . & & & \\
+ . & & & \\
+ $c_{N_{Enge\,Exit}}$ & & & \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\clearpage
+
+\begin{figure}[h]
+ \begin{center}
+ \begin{tikzpicture}[scale=4]
+ \pgfmathsetmacro\Alpha{60}
+ \pgfmathsetmacro\E2{40}
+ \pgfmathsetmacro\sinAlpha{sin(\Alpha)}
+ \pgfmathsetmacro\cosAlpha{cos(\Alpha)}
+ \pgfmathsetmacro\sinAlphaHalf{sin(0.5*\Alpha)}
+ \pgfmathsetmacro\cosAlphaHalf{cos(0.5*\Alpha)}
+ \pgfmathsetmacro\width{2*\sinAlphaHalf*cos(10)}
+ \pgfmathsetmacro\sinE2Half{sin(0.5*\E2)}
+ \pgfmathsetmacro\cosE2Half{cos(0.5*\E2)}
+
+ % First draw rectangular magnet shape.
+ \begin{scope}[rotate=-20]
+ \node[above=2pt] at (0.433012701892,-1.2) {\Large{\textbf{\color{black}$L$}}};
+ \draw[line width=1pt,fill=yellow!30!white] (0,-1.0) rectangle (\width,1.0);
+ \end{scope}
+
+ % Now draw squares indicating 90 degree angles to bend radius at entrance and exit.
+ \draw[line width=1pt] (0.0,0.0) rectangle (-0.1,0.1);
+ \draw[line width=1pt,rotate around={-\Alpha:(0.0,-1.0)}]
+ (0.0,-0.1) rectangle (0.1,0.0);
+
+ % Draw reference particle path.
+ \node[above=2pt] at (-0.7,0.0) {\textbf{\color{black}Reference Trajectory}};
+ \draw[arrows=->,line width=2pt] (-1.1,0.0) -- (-0.5,0.0);
+ \draw[arrows=->,line width=2pt] (-0.5, 0.0) -- (0.0,0.0) arc (90:60:1.0);
+ \draw[arrows=->,line width=2pt] ($(0.0, -1.0) + (\sinAlphaHalf, \cosAlphaHalf)$) arc (60:30:1.0) -- +(-60:0.6);%1.1160254,-0.9330127);
+
+ % Draw bend angle.
+ \fill[green!50!white] (0.0,-1.0) -- (0.0,-0.5) arc (90:30:0.5) -- (0.0,-1.0);
+ \node[fill=white] at ($(0.0,-1.0) + 0.25*(\sinAlphaHalf,\cosAlphaHalf)$) {\Large{\textbf{\color{blue}$\alpha$}}};
+
+ \node[blue,left=1pt,fill=white] at (0.0, -0.5) {\Large{\textbf{$R$}}};
+ \node[below=6pt,right=0pt,fill=white] at ($(0,-1) + 0.5*(\sinAlpha,\cosAlpha)$) {\Large{\textbf{$R$}}};
+ \draw[arrows=<->,blue,line width=4pt] (0,0) -- (0.0,-1.0) -- ($(0,-1) + (\sinAlpha, \cosAlpha)$);
+
+ \begin{scope}[rotate=-20]
+ % Draw entrance fringe field region.
+ \draw[blue, densely dotted, line width=2pt] (-0.25, -1.0) -- (-0.25, 1.0);
+ \draw[blue, densely dotted, line width=2pt] (0.25, -1.0) -- (0.25, 1.0);
+ \draw[arrows=<->, line width=2pt] (-0.25, 1.0) -- (0.0, 1.0);
+ \draw[arrows=<->, line width=2pt] (0.25, 1.0) -- (0.0, 1.0);
+ \filldraw[white] (-0.125, 1.1) circle (0.1pt)
+ node[fill=white] {\textbf{\color{black}$\Delta_{1}$}};
+ \filldraw[white] (0.125, 1.1) circle (0.1pt)
+ node[fill=white] {\textbf{\color{black}$\Delta_{2}$}};
+
+ % Draw exit fringe field region.
+ \draw[blue, densely dotted, line width=2pt] ($(\width, -1.0) - (0.25,0)$) -- ($(\width, 1.0) - (0.25,0)$);
+ \draw[blue, densely dotted, line width=2pt] ($(\width, -1.0) + (0.25,0)$) -- ($(\width, 1.0) + (0.25,0)$);
+ \draw[arrows=<->, line width=2pt] ($(\width, 1.0) - (0.25,0)$) -- (\width, 1.0);
+ \draw[arrows=<->, line width=2pt] (\width, 1.0) -- ($(\width, 1.0) + (0.25,0)$);
+ \node[fill=white] at ($(\width, 1.1) - (0.125,0)$) {\textbf{\color{black}$\Delta_{3}$}};
+ \node[fill=white] at ($(\width, 1.1) + (0.125,0)$) {\textbf{\color{black}$\Delta_{4}$}};
+ \end{scope}
+
+ % Draw reference axes.
+ \draw[red,arrows=->,line width=2pt] (0.0,0.0) -- (0.0,0.8) node[fill=white,left=3pt] {\Large{\textbf{$x$}}};
+ \draw[red,arrows=->,line width=2pt] (0.0,0.0) -- (0.4,0.0) node[right=3pt] {\Large{\textbf{$z$}}};
+
+ \draw (0.0, 0.4) arc (90:70:0.4);
+ \node[anchor=west] at (0.0, 0.6) {\Large{$E_1$}};
+ \draw ($(0,-1) + (\sinAlpha,\cosAlpha)$) -- ($(0,-1) + 1.8*(\sinAlpha,\cosAlpha)$);
+ \draw ($(0,-1) + 1.4*(\sinAlpha,\cosAlpha)$) arc (30:70:0.4);
+ \node at ($(1.4*\sinAlpha,-1+1.4*\cosAlpha) + (-0.05,0.2)$) {\Large{$E_2$}};
+
+ % Label reference trajector entry and exit points.
+ \node[fill=white] at (0.3, 0.15) {\Large{$O_{entrance}$}};
+ \node[fill=white, below=12pt, right=3pt] at ($(0,-1) + 1.1*(\sinAlpha,\cosAlpha)$) {\Large{\textbf{$O_{exit}$}}};
+ \end{tikzpicture}
+ \end{center}
+ \caption{Illustration of a rectangular bend (\keyword{RBEND}, see \ssecref{RBend}) showing the entrance and exit fringe field regions. $\Delta_{1}$ is the perpendicular distance in front of the entrance edge of the magnet where the magnet fringe fields are non-negligible. $\Delta_{2}$ is the perpendicular distance behind the entrance edge of the magnet where the entrance Enge function stops being used to calculate the magnet field. The reference trajectory entrance point is indicated by $O_{entrance}$. $\Delta_{3}$ is the perpendicular distance in front of the exit edge of the magnet where the exit Enge function starts being used to calculate the magnet field. (In the region between $\Delta_{2}$ and $\Delta_{3}$ the field of the magnet is a constant value.) $\Delta_{4}$ is the perpendicular distance after the exit edge of the magnet where the magnet fringe fields are non-negligible. The reference trajectory exit point is indicated by $O_{exit}$}
+ \label{fig:rbendengetype1}
+\end{figure}
+
+\begin{figure}[h]
+ \begin{center}
+ \begin{tikzpicture}[scale=4]
+ % Draw magnet shape.
+ \begin{scope}[rotate=-20]
+ \draw[line width=1pt,fill=yellow!30!white] (0.0,-1.5)
+ -- ((0.0,0.5) arc (106.82:0:1.5) -- cycle;
+ \draw (0,0.5) -- (0,1);
+ \draw (0,0.85) arc (90:98:0.85) node[anchor=south] {\Large{$E_1$}} arc(98:110:0.85);
+ \end{scope}
+
+ % Now draw squares indicating 90 degree angles to bend radius at entrance and exit.
+ \draw[line width=1pt] (0.0,0.0) rectangle (-0.1,0.1);
+ \draw[line width=1pt,xshift=0.8660254cm,yshift=-1.5cm,rotate around={60:(0.0,0.0)}]
+ (-0.1,0.0) rectangle (0.0,0.1);
+
+ % Draw reference particle path.
+ \node[above=2pt] at (-0.7,0.0) {\textbf{\color{black}Reference Trajectory}};
+ \draw[arrows=->,line width=2pt] (-1.,0.0) -- (-0.5,0.0);
+ \draw[arrows=->,line width=2pt] (-0.5,0.0) -- (0.0,0.0) arc (90:30:1.0);
+ \draw[arrows=->,line width=2pt] (0.8660254,-0.5) arc (30:-30:1.0)-- (0.6160254,-1.9330127);
+
+ % Draw bend angle.
+ \fill[green!50!white] (0.0,-1.0) -- (0.0,-0.5) arc (90:-30:0.5) -- (0.0,-1.0);
+ \draw[green!50!white] (0.0,-0.8) arc (90:30:0.2)
+ node[fill=white] {\Large{\textbf{\color{blue}$\alpha$}}};
+
+ % Label chord length.
+ \draw[line width=2pt] (0.0,0.0) -- (0.4330127,-0.75)
+ node[fill=white,right=2pt] {\Large{\textbf{\color{black}$L$}}};
+ \draw[line width=2pt] (0.4330127,-0.75) -- (0.8660254,-1.5);
+
+ \node[blue,left=1pt,fill=white] at (0.0, -0.5) {\Large{\textbf{$R$}}};
+
+ \node[blue,anchor=north east,fill=white] at (0.4330217,-1.25) {\Large{\textbf{$R$}}};
+ \draw[arrows=<->,blue,line width=4pt] (0,0) -- (0,-1) -- (0.8660254,-1.5);
+ \draw (0.8660254,-1.5) -- ($(1.7*0.8660254,-1-1.7*0.5)$);
+ \draw ($(1.5*0.8660254,-1-1.5*0.5)$) arc (-30:-17:0.5) node[anchor=west] {\Large{$E_2$}} arc (-17:-3:0.5);
+ % Draw reference axes.
+ \draw[red,arrows=->,line width=2pt] (0.0,0.0) -- (0.0,1.0) node[left=3pt] {\Large{\textbf{$x$}}};
+ \draw[red,arrows=->,line width=2pt] (0.0,0.0) -- (0.5,0.0) node[right=3pt] {\Large{\textbf{$z$}}};
+
+ % Draw entrance fringe field region.
+ \begin{scope}[rotate=-20]
+ \draw[blue, densely dotted, line width=2pt] (-0.25, -1.5) -- (-0.25, 0.6);
+ \draw[blue, densely dotted, line width=2pt] (0.25, -1.5) -- (0.25, 0.6);
+ \draw[arrows=<->, line width=2pt] (-0.25, 0.6) -- (0.0, 0.6);
+ \draw[arrows=<->, line width=2pt] (0.25, 0.6) -- (0.0, 0.6);
+ \filldraw[white] (-0.125, 0.7) circle (0.1pt)
+ node {\textbf{\color{black}$\Delta_{1}$}};
+ \filldraw[white] (0.125, 0.7) circle (0.1pt)
+ node {\textbf{\color{black}$\Delta_{2}$}};
+ \end{scope}
+
+ % Draw exit fringe field region.
+ \begin{scope}[rotate around={-94:(-0.513,-1.410)}]
+ \draw[blue, densely dotted, line width=2pt] (-0.763,-1.410) -- (-0.763,0.690);
+ \draw[blue, densely dotted, line width=2pt] (-0.263,-1.410) -- (-0.263,0.690);
+ \draw[arrows=<->,line width=2pt] (-0.763,-1.410) -- (-0.513,0.-1.410);
+ \draw[arrows=<->,line width=2pt] (-0.263,-1.410) -- (-0.513,-1.410);
+ \node[anchor=east] at (-0.638,-1.410) {\textbf{$\Delta_{3}$}};
+ \node[anchor=east] at (-0.388,-1.410) {\textbf{$\Delta_{4}$}};
+ \end{scope}
+
+ % Label reference trajector entry and exit points.
+ \node[fill=white] at (0.3, 0.15) {\Large{$O_{entrance}$}};
+ \node[anchor=north east,fill=white] at (1.28,-1.33) {\Large{\textbf{$O_{exit}$}}};
+
+ \end{tikzpicture}
+ \end{center}
+ \caption{Illustration of a sector bend (\keyword{SBEND}, see \ssecref{SBend}) showing the entrance and exit fringe field regions. $\Delta_{1}$ is the perpendicular distance in front of the entrance edge of the magnet where the magnet fringe fields are non-negligible. $\Delta_{2}$ is the perpendicular distance behind the entrance edge of the magnet where the entrance Enge function stops being used to calculate the magnet field. The reference trajectory entrance point is indicated by $O_{entrance}$. $\Delta_{3}$ is the perpendicular distance in front of the exit edge of the magnet where the exit Enge function starts being used to calculate the magnet field. (In the region between $\Delta_{2}$ and $\Delta_{3}$ the field of the magnet is a constant value.) $\Delta_{4}$ is the perpendicular distance after the exit edge of the magnet where the magnet fringe fields are non-negligible. The reference trajectory exit point is indicated by $O_{exit}$.}
+ \label{fig:sbendengetype1}
+\end{figure}
+
+\clearpage
+
+\subsection{1DProfile1 Type 1 for Bend Magnet}
+\label{ssec:1DProfile1Type1}
+A \texttt{1DProfile1 Type 1} field map is the same \texttt{1DProfile1} field map found in versions of \opal previous to
+\opal \opalversion{1.2.0} . \figref{rbendengetype1,sbendengetype1} illustrate the fringe field
+regions for an \keyword{RBEND} and an \keyword{SBEND} element. Referring to the general field map file shown in
+\tabref{1DProfile1}, the values on lines 2 and 3 are given by:
+
+\begin{align*}
+ Entrance\,Parameter\,1 &= Entrance\,Parameter\,2 - \Delta_{1} \\
+ Entrance\,Parameter\,3 &= Entrance\,Parameter\,2 + \Delta_{2} \\
+ Exit\,Parameter\,2 &= L - Entrance\,Parameter\,2 \\
+ Exit\,Parameter\,1 &= Exit\,Parameter\,2 - \Delta_{3} \\
+ Exit\,Parameter\,3 &= Exit\,Parameter\,2 + \Delta_{4}
+\end{align*}
+The value of $Entrance\,Parameter\,2$ can be any value. \opal only cares about the relative differences between
+parameters. Also note that, internally, the origins of the entrance and exit Enge functions correspond to the
+reference trajectory entrance and exit points \seefig{rbendengetype1,sbendengetype1}.
+
+Internally, \opal reads in a \texttt{1DProfile Type 1} map and uses the provided parameters to calculate the values of:
+
+\begin{align*}
+L &= Exit\,Parameter\,2 - Entrance\,Parameter\,2 \\
+\Delta_{1} &= Entrance\,Parameter\,2 - Entrance\,Parameter\,1 \\
+\Delta_{2} &= Entrance\,Parameter\,3 - Entrance\,Parameter\,2 \\
+\Delta_{3} &= Exit\,Parameter\,2 - Exit\,Parameter\,1 \\
+\Delta_{4} &= Exit\,Parameter\,3 - Exit\,Parameter\,2
+\end{align*}
+These values, combined with the entrance fringe field Enge coefficients $c_0$ through $c_{N_{Enge_Entrance}}$ and exit fringe field Enge coefficients $c_0$ through $c_{N_{Enge_Exit}}$, allow \opal to find field values anywhere within the magnet. (Again, note that a \texttt{1DProfile Type 1} map always places the entrance Enge function origin at the entrance point of the reference trajectory and the exit Enge function origin at the exit point of the reference trajectory.)
+
+\figref{1DProfile1Type1} shows and example of a \texttt{1DProfile1 Type 1} field map file.\\
+
+
+\begin{figure}[h]
+ \begin{fmpage}
+\begin{verbatim}
+1DProfile1 6 7 3.0
+-6.0 -2.0 2.0 1000
+24.0 28.0 32.0 0
+ 0.00000e+00
+ 4.36222e-06
+ 8.83270e-06
+ + 9 lines
+ 1.32490e-05
+ 1.73710e-05
+ 2.18598e-05
+\end{verbatim}
+ \end{fmpage}
+ \caption[Example of a 1DProfile1 Type 1 field map]{A 1D field map describing the fringe field of an element using
+ 7 Enge coefficients for the entrance fringe field and 8 Enge coefficients for the exit fringe field (polynomial
+ order 6 and 7 respectively). The element has a gap height of \SI{3.0}{\centi\meter}, and a length of \SI{30.0}{\centi\meter}. The entrance
+ fringe field is non-negligible from \SI{4.0}{\centi\meter} in front of the magnet's entrance edge and reaches the core strength
+ at \SI{4.0}{\centi\meter} behind the entrance edge of the magnet. (The entrance edge position is given by the element's
+ \keyword{ELEMEDGE} attribute.) The exit fringe field region begins \SI{4.0}{\centi\meter} in front of the exit edge of the magnet and is non-negligible \SI{4.0}{\centi\meter} after the exit edge of the magnet. The value 1000 at the end of line 2 and 0 at the end of line 3 do not have any meaning.}
+ \label{fig:1DProfile1Type1}
+\end{figure}
+
+\clearpage
+
+\subsection{1DProfile1 Type 2 for Bend Magnet}
+\label{ssec:1DProfile1Type2}
+The \texttt{1DProfile1 Type 2} field map file format was introduce in \opal \opalversion{1.2.0} to allow for more flexibility
+when defining the Enge functions for the entrance and exit fringe fields. Specifically, a \texttt{1DProfile1 Type 2} map
+does not contain any information about the length of the magnet. Instead, that value is set using the element's
+\keyword{L} attribute. In turn, this allows us the freedom to make slight changes to how the parameters on lines 2
+and 3 of the field map file shown in \tabref{1DProfile1} are defined. Now
+
+\begin{align*}
+ Entrance\,Parameter\,2 &= \perp \text{distance of entrance Enge function origin from magnet entrance edge} \\
+ Exit\,Parameter\,2 &= \perp \text{distance of exit Enge function origin from magnet exit edge}
+\end{align*}
+The other parameters are defined the same as before:
+
+\begin{align*}
+ Entrance\,Parameter\,1 &= Entrance\,Parameter\,2 - \Delta_{1} \\
+ Entrance\,Parameter\,3 &= Entrance\,Parameter\,2 + \Delta_{2} \\
+ Exit\,Parameter\,1 &= Exit\,Parameter\,2 - \Delta_{3} \\
+ Exit\,Parameter\,3 &= Exit\,Parameter\,2 + \Delta_{4}
+\end{align*}
+
+As before, internally, \opal reads in a \texttt{1DProfile Type 2} map and uses the provided parameters to calculate the values of:
+\begin{align*}
+\Delta_{1} &= Entrance\,Parameter\,2 - Entrance\,Parameter\,1 \\
+\Delta_{2} &= Entrance\,Parameter\,3 - Entrance\,Parameter\,2 \\
+\Delta_{3} &= Exit\,Parameter\,2 - Exit\,Parameter\,1 \\
+\Delta_{4} &= Exit\,Parameter\,3 - Exit\,Parameter\,2
+\end{align*}
+These values, combined with the length of the magnet, \keyword{L} ( set by the element attribute) and the entrance fringe field Enge coefficients $c_0$ through $c_{N_{Enge_Entrance}}$ and exit fringe field Enge coefficients $c_0$ through $c_{N_{Enge_Exit}}$, allow \opal to find field values anywhere within the magnet.
+
+The \texttt{1DProfile1 Type 2} field map file format has two main advantages:
+
+\begin{enumerate}
+\item The Enge function origins can be adjusted to more accurately model a magnet's fringe fields as they are no longer fixed to the entrance and exit points of the reference trajectory.
+\item Two magnets with the same fringe fields, but different lengths, can be modeled with a single
+ \texttt{1DProfile Type 2} field map file rather than two separate files.
+\end{enumerate}
+\figref{1DProfile1Type2} shows an example of a \texttt{1DProfile1 Type 2} field map file.\\
+
+\begin{figure}[h]
+ \begin{fmpage}
+\begin{verbatim}
+1DProfile1 6 7 3.0
+-6.0 -2.0 2.0 0
+-2.0 2.0 6.0 0
+ 0.00000e+00
+ 4.36222e-06
+ 8.83270e-06
+ + 9 lines
+ 1.32490e-05
+ 1.73710e-05
+ 2.18598e-05
+\end{verbatim}
+\end{fmpage}
+\caption[Example of a 1DProfile1 Type 2 field map]{A 1D field map describing the fringe field of an element using 7 Enge coefficients for the entrance fringe field and 8 Enge coefficients for the exit fringe field (polynomial order 6 and 7 respectively). The element has a gap height of \SI{3.0}{\centi\meter}. The entrance fringe field is non-negligible from \SI{4.0}{\centi\meter} in front of the magnet's entrance edge and reaches the core strength at \SI{4.0}{\centi\meter} behind the entrance edge of the magnet. The exit fringe field region begins \SI{4.0}{\centi\meter} in front of the exit edge of the magnet and is non-negligible \SI{4.0}{\centi\meter} after the exit edge of the magnet. The value 0 at the end of line 2 and 0 at the end of line 3 do not have any meaning. The entrance Enge function origin is \SI{2.0}{\centi\meter} in front (upstream) of the magnet's entrance edge. The exit Enge function origin is \SI{2.0}{\centi\meter} behind (downstream of) the exit edge of the magnet.}
+\label{fig:1DProfile1Type2}
+\end{figure}
+
+\clearpage
+
+
+\section{2DElectroStatic}
+\label{sec:2DElectroStatic}
+\index{2DElectroStatic}
+\index{Field Map!2DElectroStatic}
+\begin{figure}[h]
+ \begin{fmpage}
+\begin{verbatim}
+2DElectroStatic XZ
+-3.0 51.0 4999
+0.0 2.0 199
+ 0.00000e+00 0.00000e+00
+ 4.36222e-06 0.00000e+00
+ 8.83270e-06 0.00000e+00
+ + 999994 lines
+ 1.32490e-05 0.00000e+00
+ 1.73710e-05 0.00000e+00
+ 2.18598e-05 0.00000e+00
+\end{verbatim}
+ \end{fmpage}
+ \caption[Example of a 2DElectroStatic field map]{A 2D field map describing an electrostatic field using 5000 grid points
+ in the longitudinal direction times 200 grid points in the radial direction. The field between the grid points is calculated
+ using bi-linear interpolation. The field is non-negligible from \SI{-3.0}{\centi\meter} to \SI{51.0}{\centi\meter} relative to \keyword{ELEMEDGE} and the 200
+ grid points in the radial direction span the distance from \SI{0.0}{\centi\meter} to \SI{2.0}{\centi\meter}. The field values are ordered in XZ
+ orientation, so the index in the longitudinal direction changes fastest and therefore $E_z$ values are stored in the first
+ column and $E_r$ values in the second \seesec{fieldorientation}. \opalt normalizes the field so that $max(|E_{z, \text{ on axis}}|) = \SI{1}{\mega\volt\per\meter}$.}
+ \label{fig:2DElectroStatic}
+\end{figure}
+
+\begin{table}[h!]
+ \caption{Layout of a \texttt{2DElectroStatic} field map file.}
+ \label{tab:2DElectroStatic}
+ \begin{center}
+ \begin{tabular}{lll}
+ \hline
+ 2DElectroStatic & Orientation (XZ or ZX) & \\
+ $z_{start}$ (or $r_{start}$) (in cm) & $z_{end}$ (or $r_{end}$) (in cm) & $N_{z}$ (or $N_{r}$) \\
+ $r_{start}$ (or $z_{start}$) (in cm) & $r_{end}$ (or $z_{end}$) (in cm) & $N_{r}$ (or $N_{z}$) \\
+ $E_{z,\,1}$ (or $E_{r,\,1}$) (MV/m) & $E_{r,\,1}$ (or $E_{z,\,1}$) (MV/m)& \\
+ $E_{z,\,2}$ (or $E_{r,\,2}$) (MV/m) & $E_{r,\,2}$ (or $E_{z,\,2}$) (MV/m)& \\
+ . & & \\
+ . & & \\
+ . & & \\
+ $E_{z,\,N}$ (or $E_{r,\,N}$) (MV/m) & $E_{r,\,N}$ (or $E_{z,\,N}$) (MV/m)& \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+A \texttt{2DElectroStatic} field map has the general form shown in \tabref{2DElectroStatic}. The first three lines form
+the file header and tell \opalt how the field map data is being presented:
+
+\begin{description}
+\item[Line 1] This tells \opalt what type of field file it is (\texttt{2DElectroStatic}) and the field orientation
+ \seesec{fieldorientation}.
+\item[Line 2] This gives the extent of the field map and how many grid spacings there are in the fastest changing
+ index direction \seesec{fieldorientation}.
+\item[Line 3] This gives the extent of the field map and how many grid spacings there are in the slowest changing
+ index direction (see \secref{fieldorientation}.
+\end{description}
+
+The lines following the header give the 2D field map grid values from $1$ to $N = (N_{z} + 1) \times (N_{r} + 1)$.
+The order of these depend on the field orientation \seesec{fieldorientation} and can be one of two formats:
+
+\begin{description}
+\item[If Orientation = XZ:] $E_{z}$ (MV/m) $E_{r}$ (MV/m)
+\item[If Orientation = ZX:] $E_{r}$ (MV/m) $E_{z}$ (MV/m)
+\end{description}
+
+\figref{2DElectroStatic} gives an example of a \texttt{2DElectroStatic} field file.
+
+\clearpage
+
+\section{2DMagnetoStatic}
+\label{sec:2DMagnetoStatic}
+\index{2DMagnetoStatic}
+\index{Field Map!2DMagnetoStatic}
+\begin{figure}[h]
+ \begin{fmpage}
+\begin{verbatim}
+2DMagnetoStatic ZX
+0.0 2.0 199
+-3.0 51.0 4999
+ 0.00000e+00 0.00000e+00
+ 0.00000e+00 4.36222e-06
+ 0.00000e+00 8.83270e-06
+ + 999994 lines
+ 0.00000e+00 1.32490e-05
+ 0.00000e+00 1.73710e-05
+ 0.00000e+00 2.18598e-05
+\end{verbatim}
+ \end{fmpage}
+ \caption[Example of a 2DMagnetoStatic field map]{A 2D field map describing a magnetostatic field using 5000 grid points
+ in the longitudinal direction times 200 grid points in the radial direction. The field between the grid points is calculated
+ using bi-linear interpolation. The field is non-negligible from \SI{-3.0}{\centi\meter} to \SI{51.0}{\centi\meter} relative to \keyword{ELEMEDGE} and the 200 grid
+ points in the radial direction span the distance from \SI{0.0}{\centi\meter} to \SI{2.0}{\centi\meter}. The field values are ordered in the ZX
+ orientation, so the index in the radial direction changes fastest and therefore $B_r$ values are stored in the first column
+ and $B_z$ values in the second \seesec{fieldorientation}. \opalt normalizes the field so that $max(|B_{z,\text{ on axis}}|) = \SI{1}{\tesla}$.}
+ \label{fig:2DMagnetoStatic}
+\end{figure}
+
+\begin{table}[h!]
+ \caption{Layout of a \texttt{2DMagnetoStatic} field map file.}
+ \label{tab:2DMagnetoStatic}
+ \begin{center}
+ \begin{tabular}{lll}
+ \hline
+ 2DMagnetoStatic & Orientation (XZ or ZX) & \\
+ $z_{start}$ (or $r_{start}$) (in cm) & $z_{end}$ (or $r_{end}$) (in cm) & $N_{z}$ (or $N_{r}$) \\
+ $r_{start}$ (or $z_{start}$) (in cm) & $r_{end}$ (or $z_{end}$) (in cm) & $N_{r}$ (or $N_{z}$) \\
+ $B_{z,\,1}$ (or $B_{r,\,1}$) (T) & $B_{r,\,1}$ (or $B_{z,\,1}$) (T)& \\
+ $B_{z,\,2}$ (or $B_{r,\,2}$) (T) & $B_{r,\,2}$ (or $B_{z,\,2}$) (T)& \\
+ . & & \\
+ . & & \\
+ . & & \\
+ $B_{z,\,N}$ (or $B_{r,\,N}$) (T) & $B_{r,\,N}$ (or $B_{z,\,N}$) (T)& \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+A \texttt{2MagnetoStatic} field map has the general form shown in \tabref{2DMagnetoStatic}. The first three lines form
+the file header and tell \opalt how the field map data is being presented:
+
+\begin{description}
+\item[Line 1] This tells \opalt what type of field file it is (\texttt{2DMagnetoStatic}) and the field orientation
+ \seesec{fieldorientation}.
+\item[Line 2] This gives the extent of the field map and how many grid spacings there are in the fastest changing
+ index direction \seesec{fieldorientation}.
+\item[Line 3] This gives the extent of the field map and how many grid spacings there are in the slowest changing
+ index direction (see \secref{fieldorientation}.
+\end{description}
+
+The lines following the header give the 2D field map grid values from $1$ to $N = (N_{z} + 1) \times (N_{r} + 1)$.
+The order of these depend on the field orientation \seesec{fieldorientation} and can be one of two formats:
+
+\begin{description}
+\item[If Orientation = XZ:] $B_{z}$ (T) $B_{r}$ (T)
+\item[If Orientation = ZX:] $B_{r}$ (T) $B_{z}$ (T)
+\end{description}
+
+\figref{2DMagnetoStatic} gives an example of a \texttt{2DMagnetoStatic} field file.
+
+\clearpage
+
+\section{2DDynamic}
+\label{sec:2DDynamic}
+\index{2DDynamic}
+\index{Field Map!2DDynamic}
+\begin{figure}[h]
+ \begin{fmpage}
+\begin{verbatim}
+2DDynamic XZ
+-3.0 51.0 4121
+1498.953425154
+0.0 1.0 75
+ 0.00000e+00 0.00000e+00 0.00000e+00 0.00000e+00
+ 4.36222e-06 0.00000e+00 0.00000e+00 4.36222e-06
+ 8.83270e-06 0.00000e+00 0.00000e+00 8.83270e-06
+ + 313266 lines
+ 1.32490e-05 0.00000e+00 0.00000e+00 1.32490e-05
+ 1.73710e-05 0.00000e+00 0.00000e+00 1.73710e-05
+ 2.18598e-05 0.00000e+00 0.00000e+00 2.18598e-05
+\end{verbatim}
+ \end{fmpage}
+ \caption[Example of a 2DDynamic field map]{A 2D field map describing a dynamic field oscillating with a frequency of
+ \SI{1498.953425154}{\mega\hertz}. The field map provides 4122 grid points in the longitudinal direction times 76 grid points in
+ radial direction. The field between the grid points is calculated with a bi-linear interpolation. The field is
+ non-negligible between \SI{-3.0}{\centi\meter} and \SI{51.0}{\centi\meter} relative to \keyword{ELEMEDGE} and the 76 grid points in radial direction
+ span the distance from \SI{0.0}{\centi\meter} to \SI{1.0}{\centi\meter}. The field values are ordered in the XZ orientation, so the index in the
+ longitudinal direction changes fastest and therefore $E_z$ values are stored in the first column and $E_r$ values
+ in the second. The third column contains the electric field magnitude, $|E|$, and is not used (but must still be included).
+ The fourth column is $H_{\phi}$ in A/m. The third and fourth columns are always the same and do not depend on the field
+ orientation \seesec{fieldorientation}. \opalt normalizes the field so that $max(|E_{z,\text{ on axis}}|) = \SI{1}{\mega\volt\per\meter}$.}
+ \label{fig:2DDynamic}
+\end{figure}
+
+\begin{table}[h!]
+ \caption{Layout of a \texttt{2DDynamic} field map file.}
+ \label{tab:2DDynamic}
+ \begin{center}
+ \begin{tabular}{llll}
+ \hline
+ 2DDynamic & Orientation (XZ or ZX) & & \\
+ $z_{start}$ (or $r_{start}$) (in cm) & $z_{end}$ (or $r_{end}$) (in cm) & $N_{z}$ (or $N_{r}$)& \\
+ $Frequency$ (in MHz) & & & \\
+ $r_{start}$ (or $z_{start}$) (in cm) & $r_{end}$ (or $z_{end}$) (in cm) & $N_{r}$ (or $N_{z}$)& \\
+ $E_{z,\,1}$ (or $E_{r,\,1}$) (MV/m)) & $E_{r,\,1}$ (or $E_{z,\,1}$) (MV/m) & $|E_1|$ (MV/m) & $H_{\phi,\,1}$ (A/m) \\
+ $E_{z,\,2}$ (or $E_{r,\,2}$) (MV/m)) & $E_{r,\,2}$ (or $E_{z,\,2}$) (MV/m) & $|E_2|$ (MV/m) & $H_{\phi,\,2}$ (A/m) \\
+ . & & \\
+ . & & \\
+ . & & \\
+ $E_{z,\,N}$ (or $E_{r,\,N}$) (MV/m)) & $E_{r,\,N}$ (or $E_{z,\,N}$) (MV/m) & $|E_N|$ (MV/m) & $H_{\phi,\,N}$ (A/m) \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+A \texttt{2DDynamic} field map has the general form shown in \tabref{2DDynamic}. The first four lines form
+the file header and tell \opalt how the field map data is being presented:
+
+\begin{description}
+\item[Line 1] This tells \opalt what type of field file it is (\texttt{2DDynamic}) and the field orientation
+ \seesec{fieldorientation}.
+\item[Line 2] This gives the extent of the field map and how many grid spacings there are in the fastest changing
+ index direction \seesec{fieldorientation}.
+\item[Line 3] Field frequency.
+\item[Line 4] This gives the extent of the field map and how many grid spacings there are in the slowest changing
+ index direction \seesec{fieldorientation}.
+\end{description}
+
+The lines following the header give the 2D field map grid values from $1$ to $N= (N_{z} + 1) \times (N_{r} + 1)$. The
+order of these depend on the field orientation \seesec{fieldorientation} and can be one of two formats:
+\begin{description}
+\item[If Orientation = XZ:] $E_{z}$ (MV/m) $E_{r}$ (MV/m) $|E|$ (MV/m) $H_{\phi}$ (A/m)
+\item[If Orientation = ZX:] $E_{r}$ (MV/m) $E_{z}$ (MV/m) $|E|$ (MV/m) $H_{\phi}$ (A/m)
+\end{description}
+The third item (the field magnitude) on each data line is not used by \opalt, but must be there.
+
+\figref{2DDynamic} gives an example of a \texttt{2DDynamic} field file.
+\clearpage
+\section{3DMagnetoStatic}
+\label{sec:3DMagnetoStatic}
+\index{3DMagnetoStatic}
+\index{Field Map!3DMagnetoStatic}
+\begin{figure}[h]
+ \begin{fmpage}
+\begin{verbatim}
+3DMagnetoStatic
+-1.5 1.5 227
+-1.0 1.0 151
+-3.0 51.0 4121
+0.00e+00 0.00e+00 0.00e+00
+0.00e+00 4.36e-06 0.00e+00
+0.00e+00 8.83e-06 0.00e+00
++ 142'852'026 lines
+0.00e+00 1.32e-05 0.00e+00
+0.00e+00 1.73e-05 0.00e+00
+0.00e+00 2.18e-05 0.00e+00
+\end{verbatim}
+ \end{fmpage}
+ \caption[Example of a 3DMagnetoStatic field map]{A 3D field map describing a magnetostatic field.
+ The field map provides 4122 grid points in z-direction times 228 grid points in x-direction and 152 grid points in y-direction.
+ The field between the grid points is calculated with a tri-linear interpolation. The field is non-negligible between \SI{-3.0}{\centi\meter}
+ to \SI{51.0}{\centi\meter} relative to \keyword{ELEMEDGE}, the 228 grid points in x-direction range from \SI{-1.5}{\centi\meter} to \SI{1.5}{\centi\meter} and the 152 grid
+ points in y-direction range from \SI{-1.0}{\centi\meter} to \SI{1.0}{\centi\meter} relative to the design path. The field values are ordered such that the index in z-direction changes fastest, then the index in y-direction while the index in x-direction changes
+ slowest. The columns correspond to $B_x$, $B_y$ and $B_z$.}
+ \label{fig:3DMagnetoStatic}
+\end{figure}
+
+\begin{table}[h!]
+ \caption{Layout of a \texttt{3DMagnetoStatic} field map file.}
+ \label{tab:3DMagnetoStatic}
+ \begin{center}
+ \begin{tabular}{llllll}
+ \hline
+ 3DMagnetoStatic & & \\
+ $x_{start}$ (in cm) & $x_{end}$ (in cm) & $N_{x}$ \\
+ $y_{start}$ (in cm) & $y_{end}$ (in cm) & $N_{y}$ \\
+ $z_{start}$ (in cm) & $z_{end}$ (in cm) & $N_{z}$ \\
+ $B_{x,\,1}$ (A/m) & $B_{y,\,1}$ (A/m) & $B_{z,\,1}$ (A/m) \\
+ $B_{x,\,2}$ (A/m) & $B_{y,\,2}$ (A/m) & $B_{z,\,2}$ (A/m) \\
+ . & & \\
+ . & & \\
+ . & & \\
+ $B_{x,\,N}$ (A/m) & $B_{y,\,N}$ (A/m) & $B_{z,\,N}$ (A/m) \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+A \texttt{3DMagnetoStatic} field map has the general form shown in \tabref{3DMagnetoStatic}. The first five lines form
+the file header and tell \opalt how the field map data is being presented:
+
+\begin{description}
+\item[Line 1] This tells \opalt what type of field file it is (\texttt{3DMagnetoStatic}).
+\item[Line 3] This gives the extent of the field map and how many grid spacings there are in the slowest changing
+ index direction.
+\item[Line 4] This gives the extent of the field map and how many grid spacings there are in the next fastest changing
+ index direction.
+\item[Line 5] This gives the extent of the field map and how many grid spacings there are in the fastest changing
+ index direction.
+\end{description}
+
+The lines following the header give the 3D field map grid values from $1$ to $N= (N_{z} + 1) \times (N_{y} + 1) \times (N_{x} + 1)$.
+\figref{3DMagnetoStatic} gives an example of a \texttt{3DMagnetoStatic} field file.
+
+\clearpage
+\section{3DMagnetoStatic\_Extended}
+\label{sec:3DMagnetoStatic_Extended}
+\index{3DMagnetoStatic\_Extended}
+\index{Field Map!3DMagnetoStatic\_Extended}
+\begin{figure}[h]
+ \begin{fmpage}
+\begin{verbatim}
+3DMagnetoStatic_Extended
+-9.9254 9.9254 133
+-2.0 1.0 15
+-22.425 47.425 465
+ -8.10970000e-05
+ -8.38540000e-05
+ -8.64960000e-05
++ 62'438 lines
+ -8.64960000e-05
+ -8.38540000e-05
+ -8.10970000e-05
+\end{verbatim}
+ \end{fmpage}
+ \caption[Example of a 3DMagnetoStatic\_Extended field map]{A 3D field map describing a magnetostatic field on the mid-plane. The field map provides 466 grid points in z-direction times 134 grid points in x-direction. The field is non-negligible between \SI{-22.425}{\centi\meter} to \SI{47.425}{\centi\meter} relative to \keyword{ELEMEDGE}, the 134 grid points in x-direction range from \SI{-9.9254}{\centi\meter} to \SI{9.9254}{\centi\meter}. The field should be integrated using Maxwell's equations from the mid-plane to \SI{2.0}{\centi\meter} using 16 grid points. The mid-plane is regarded as a perfect magnetic conductor (PMC) i.e. the magnetic field on the mid-plane has no tangential component. This leads to a symmetry where the perpendicular component is mirrored whereas the tangential component is anti-parallel. Instead of integrating the field from the mid-plane to \SI{-2.0}{\centi\meter} and \SI{1.0}{\centi\meter} we only integrate it to \SI{+2.0}{\centi\meter} and store only the upper half of the field map. For positions $R(x,\;-y,\;z)$ with $y > 0.0$ the correct field can then be derived from the $R(x,\;y,\;z)$.}
+ \label{fig:3DMagnetoStatic_Extended}
+\end{figure}
+
+\begin{table}[h!]
+ \caption{Layout of a \texttt{3DMagnetoStatic\_Extended} field map file.}
+ \label{tab:3DMagnetoStatic_Extended}
+ \begin{center}
+ \begin{tabular}{lll}
+ \hline
+ \multicolumn{2}{l}{3DMagnetoStatic\_Extended} & \\
+ $x_{start}$ (in cm) & $x_{end}$ (in cm) & $N_{x}$ \\
+ $y_{start}$ (in cm) & $y_{end}$ (in cm) & $N_{y}$ \\
+ $z_{start}$ (in cm) & $z_{end}$ (in cm) & $N_{z}$ \\
+ $B_{y,\,1}$ (T) & & \\
+ $B_{y,\,2}$ (T) & & \\
+ . & & \\
+ . & & \\
+ . & & \\
+ $B_{y,\,N}$ (T) & & \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+A \texttt{3DMagnetoStatic\_Extended} field map has the general form shown in \tabref{3DMagnetoStatic_Extended}. The first four lines form the file header and tell \opalt how the field map data is being presented:
+
+\begin{description}
+\item[Line 1] This tells \opalt what type of field file it is (\texttt{3DMagnetoStatic\_Extended}).
+\item[Line 2] This gives the extent of the field map and how many grid spacings there are in the slowest changing direction.
+\item[Line 3] This gives the extent of the field map and how many grid spacings there are in the next fastest changing direction.
+\item[Line 4] This gives the extent of the field map and how many grid spacings there are in the fastest changing direction.
+\end{description}
+
+The lines following the header give the 3D field map grid values from $1$ to $N= (N_{z} + 1) \times (N_{x} + 1)$.
+The order of these depend on the field orientation \seesec{fieldorientation} and can currently only be the
+format shown in \tabref{3DMagnetoStatic_Extended}.
+
+\figref{3DMagnetoStatic_Extended} gives an example of a \texttt{3DMagnetoStatic\_Extended} field file.
+
+\clearpage
+\section{3DDynamic}
+\label{sec:3DDynamic}
+\index{3DDynamic}
+\index{Field Map!3DDynamic}
+\begin{figure}[h]
+ \begin{fmpage}
+\begin{verbatim}
+3DDynamic
+1498.953425154
+-1.5 1.5 227
+-1.0 1.0 151
+-3.0 51.0 4121
+0.00e+00 0.00e+00 0.00e+00 0.00e+00 0.00e+00 0.00e+00
+4.36e-06 0.00e+00 4.36e-06 0.00e+00 4.36e-06 0.00e+00
+8.83e-06 0.00e+00 8.83e-06 0.00e+00 8.83e-06 0.00e+00
++ 142'852'026 lines
+1.32e-05 0.00e+00 1.32e-05 0.00e+00 1.32e-05 0.00e+00
+1.73e-05 0.00e+00 1.73e-05 0.00e+00 1.73e-05 0.00e+00
+2.18e-05 0.00e+00 2.18e-05 0.00e+00 2.18e-05 0.00e+00
+\end{verbatim}
+ \end{fmpage}
+ \caption[Example of a 3DDynamic field map]{A 3D field map describing a dynamic field oscillating with \SI{1.498953425154}{\giga\hertz}.
+ The field map provides 4122 grid points in z-direction times 228 grid points in x-direction and 152 grid points in y-direction.
+ The field between the grid points is calculated with a tri-linear interpolation. The field is non-negligible between \SI{-3.0}{\centi\meter}
+ to \SI{51.0}{\centi\meter} relative to \keyword{ELEMEDGE}, the 228 grid points in x-direction range from \SI{-1.5}{\centi\meter} to \SI{1.5}{\centi\meter} and the 152 grid
+ points in y-direction range from \SI{-1.0}{\centi\meter} to \SI{1.0}{\centi\meter} relative to the design path. The field values are ordered such that the index in z-direction changes fastest, then the index in y-direction while the index in x-direction changes
+ slowest. The columns correspond to $E_x$, $E_y$, $E_z$, $H_x$, $H_y$ and $H_z$.}
+ \label{fig:3DDynamic}
+\end{figure}
+
+\begin{table}[h!]
+ \caption{Layout of a \texttt{3DDynamic} field map file.}
+ \label{tab:3DDynamic}
+ \begin{center}
+ \begin{tabular}{llllll}
+ \hline
+ 3DDynamic & & & & & \\
+ $Frequency$ (in MHz) & & & & & \\
+ $x_{start}$ (in cm) & $x_{end}$ (in cm) & $N_{x}$ & & & \\
+ $y_{start}$ (in cm) & $y_{end}$ (in cm) & $N_{y}$ & & & \\
+ $z_{start}$ (in cm) & $z_{end}$ (in cm) & $N_{z}$ & & & \\
+ $E_{x,\,1}$ (MV/m)) & $E_{y,\,1}$ (MV/m) & $E_{z,\,1}$ (MV/m) & $H_{x,\,1}$ (A/m) & $H_{y,\,1}$ (A/m) & $H_{z,\,1}$ (A/m) \\
+ $E_{x,\,2}$ (MV/m)) & $E_{y,\,2}$ (MV/m) & $E_{z,\,2}$ (MV/m) & $H_{x,\,2}$ (A/m) & $H_{y,\,2}$ (A/m) & $H_{z,\,2}$ (A/m) \\
+ . & & & & & \\
+ . & & & & & \\
+ . & & & & & \\
+ $E_{x,\,N}$ (MV/m)) & $E_{y,\,N}$ (MV/m) & $E_{z,\,N}$ (MV/m) & $H_{x,\,N}$ (A/m) & $H_{y,\,N}$ (A/m) & $H_{z,\,N}$ (A/m) \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+A \texttt{3DDynamic} field map has the general form shown in \tabref{3DDynamic}. The first five lines form
+the file header and tell \opalt how the field map data is being presented:
+
+\begin{description}
+\item[Line 1] This tells \opalt what type of field file it is (\texttt{3DDynamic}).
+\item[Line 2] Field frequency.
+\item[Line 3] This gives the extent of the field map and how many grid spacings there are in the slowest changing
+ index direction.
+\item[Line 4] This gives the extent of the field map and how many grid spacings there are in the next fastest changing
+ index direction.
+\item[Line 5] This gives the extent of the field map and how many grid spacings there are in the fastest changing
+ index direction.
+\end{description}
+
+The lines following the header give the 3D field map grid values from $1$ to $N= (N_{z} + 1) \times (N_{y} + 1) \times (N_{x} + 1)$.
+\figref{3DDynamic} gives an example of a \texttt{3DDynamic} field file.
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/fieldsolvers.tex b/doc/user_guide/fieldsolvers.tex
new file mode 100644
index 0000000000000000000000000000000000000000..95719fc1f533acd48d320319c0974d6f90299a98
--- /dev/null
+++ b/doc/user_guide/fieldsolvers.tex
@@ -0,0 +1,446 @@
+\input{header}
+
+\chapter{Field Solver}
+\label{chp:fieldsolver}
+\index{Field Solver|(}
+
+\ifthenelse{\boolean{ShowDebug}}{
+\TODO{AA will rewrite}
+}{}
+Space charge effects are included in the simulation by specifying a field solver described in this chapter and attaching it to the
+track command as described in \chpref{track}.
+By default, the code does not assume any symmetry i.e. full 3D. In the near future it is planed to implement also a slice (2D) model.
+This will allow the use of less numbers of macro-particles in the simulation which reduces the computational time significantly.
+
+The space charge forces are calculated by solving the 3D Poisson equation with open boundary conditions
+using a standard or integrated Green function method. The image charge effects of the conducting cathode are also
+included using a shifted Green function method. If more than one Lorentz frame is defined, the total space charge forces are then the summation of contributions from all Lorentz frames. \latermore
+
+\section{FFT Based Particle-Mesh (PM) Solver}
+\label{sec:fieldsolver:fftbased}
+\index{Field Solver!FFT based}
+The Particle-Mesh (PM) solver is one of the oldest improvements over the PP solver. Still one of the best references is the book by R.W.~Hockney \& J.W.~Eastwood \cite{hockney}.
+The PM solver introduces a discretization of space. The rectangular computation domain $\Omega:=[-L_x,L_x]\times[-L_y,L_y]\times[-L_t,L_t]$, just big enough to include all particles, is segmented into a regular mesh of $M=M_x\times M_y\times M_t$ grid points. For the discussion below we assume $N=M_x=M_y=M_t$.
+
+The solution of Poisson's equation is an essential component of any self-consistent electrostatic beam dynamics code that models the transport of intense charged particle beams in accelerators. If the bunch is small compared to the transverse size of the beam pipe, the conducting walls are usually neglected.
+In such cases the Hockney method may be employed \cite{hockney, eastwoodandbrownrigg,hockneyandeastwood}. In that method, rather than computing $N_p^2$ point-to-point interactions
+(where $N_p$ is the number of macro-particles), the potential is instead calculated on a grid of size $(2 N)^d$, where $N$ is the number of grid points in each dimension of the physical mesh containing
+the charge, and where $d$ is the dimension of the problem.
+Using the Hockney method, the calculation is performed using Fast Fourier Transform (FFT) techniques, with the computational effort scaling as $(2N)^d (log_2 2N)^d$.
+
+When the beam bunch fills a substantial portion of the beam pipe transversely, or when the bunch length is long compared with the pipe transverse size, the conducting boundaries cannot be ignored. Poisson solvers have been developed previously to treat a bunch of charge in an open-ended pipe with various geometries \cite{qiangandryne,qiangandgluckstern}.
+
+The solution of the Poisson equation,
+
+
+\begin{equation}
+%\label{ }
+\nabla^2\phi=-\rho/\epsilon_0,
+\end{equation}
+for the scalar potential, $\phi$, due to a charge density, $\rho$, and appropriate boundary conditions, can be expressed as,
+
+\begin{equation}
+\phi(x,y,z)=\int\int\int{\differential{}x' \,\differential{}y' \,\differential{}z'}\rho(x',y',z') G(x,x',y,y',z,z'),
+\end{equation}
+where $G(x,x',y,y',z,z')$ is the Green function, subject to the appropriate boundary conditions, describing the contribution of a source charge at location $(x',y',z')$ to the potential at an observation location $(x,y,z)$.
+
+For an isolated distribution of charge this reduces to
+
+\begin{equation}
+\phi(x,y,z)=\int\int\int{\differential{}x' \,\differential{}y' \,\differential{}z'}\rho(x',y',z') G(x-x',y-y',z-z'),
+\label{eq:convolutionsolution}
+\end{equation}
+where
+
+\begin{equation}
+G(u,v,w)={1\over \sqrt{u^2+v^2+w^2}}.
+\label{eq:isolatedgreenfunction}
+\end{equation}
+A simple discretization of \eqnref{convolutionsolution}
+on a Cartesian grid with cell size $(h_x,h_y,h_z)$
+leads to,
+
+\begin{equation}
+\phi_{i,j,k}=h_x h_y h_z \sum_{i'=1}^{M_x}\sum_{j'=1}^{M_y}\sum_{k'=1}^{M_t} \rho_{i',j',k'}G_{i-i',j-j',k-k'},
+\label{eq:openbruteforceconvolution}
+\end{equation}
+where $\rho_{i,j,k}$ and $G_{i-i',j-j',k-k'}$ denote the values of the charge density and the Green function, respectively, defined on the grid $M$.
+
+\subsubsection{FFT-based Convolutions and Zero Padding}
+FFT's can be used to compute convolutions by appropriate zero-padding of the sequences.
+Discrete convolutions arise in solving the Poisson equation, and one is typically interested in the following,
+
+\begin{equation}
+\bar{\phi}_j=\sum_{k=0}^{K-1}\bar{\rho}_k \bar{G}_{j-k}\quad,
+\begin{array}{l}
+j=0,\ldots,J-1 \\
+k=0,\ldots,K-1 \\
+j-k=-(K-1),\ldots,J-1 \\
+\end{array}
+\label{eq:bruteforceconvolution}
+\end{equation}
+where $\bar{G}$ corresponds to the free space Green function, $\bar{\rho}$ corresponds to the charge density, and $\bar{\phi}$ corresponds to the scalar potential.
+The sequence $\{\bar{\phi}_j\}$ has $J$ elements, $\{\bar{\rho}_k\}$ has $K$ elements, and $\{\bar{G}_m\}$ has $M=J+K-1$ elements.
+
+One can zero-pad the sequences to a length $N\ge M$ and use FFT's to efficiently obtain the $\{\bar{\phi}_j\}$ in the unpadded region.
+This defines a zero-padded charge density, $\rho$,
+\begin{equation}
+\rho_k=\left\{
+\begin{array}{l l}
+\bar{\rho}_k & \quad \text{if }k=0,\ldots,K-1 \\
+0 & \quad \text{if }k=K,\ldots,N-1. \\
+\end{array}\right.
+\end{equation}
+Define a periodic Green function, $G_m$, as follows,
+\begin{equation}
+G_m=\left\{
+\begin{array}{l l}
+\bar{G}_m & \quad \text{if }m=-(K-1),\ldots,J-1 \\
+0 & \quad \text{if }m=J,\ldots,N-K, \\
+G_{m+iN}=G_{m} & \quad \text{for } i \text{ integer }.
+\end{array}\right.
+\label{eq:periodicgreenfunction}G
+\end{equation}
+Now consider the sum
+\begin{equation}
+{\phi}_j={1\over N}\sum_{k=0}^{N-1} W^{-jk}
+ \left(\sum_{n=0}^{N-1} \rho_n W^{nk}\right)
+ \left(\sum_{m=0}^{N-1} G_m W^{mk}\right),
+~~~~~~0 \le j \le N-1,
+\label{eq:fftconvolution}
+\end{equation}
+where $W=e^{-2\pi i/N}$. This is just the FFT-based convolution of $\{\rho_k\}$ with $\{G_m\}$.
+Then,
+\begin{equation}
+{\phi}_j=
+ \sum_{n=0}^{K-1}~
+ \sum_{m=0}^{N-1} \bar{\rho}_n G_m
+{1\over N}\sum_{k=0}^{N-1} W^{(m+n-j)k}
+~~~~~~0 \le j \le N-1.
+\end{equation}
+Now use the relation
+\begin{equation}
+\sum_{k=0}^{N-1} W^{(m+n-j)k}= N \delta_{m+n-j,iN}~~~~~(i~\rm an~integer).
+\end{equation}
+
+It follows that
+\begin{equation}
+{\phi}_j=\sum_{n=0}^{K-1}~\bar{\rho}_n G_{j-n+iN}
+~~~~~~0 \le j \le N-1.
+\end{equation}
+But $G$ is periodic with period $N$. Hence,
+\begin{equation}
+{\phi}_j=\sum_{n=0}^{K-1}~\bar{\rho}_n G_{j-n}
+~~~~~~0 \le j \le N-1.
+\label{eq:finaleqn}
+\end{equation}
+In the physical (unpadded) region, $j\in \left[0,J-1\right]$, so the quantity $j-n$ in \eqnref{finaleqn} satisfies $-(K-1)\le j-n \le J-1$.
+In other words the values of $G_{j-n}$ are identical to $\bar{G}_{j-n}$. Hence, in the physical region the FFT-based convolution, \eqnref{fftconvolution},
+matches the convolution in \eqnref{bruteforceconvolution}.
+
+As stated above, the zero-padded sequences need to
+have a length $N \ge M$, where $M$ is the number of elements in the Green function sequence $\left\{x_m\right\}$.
+In particular, one can choose $N=M$, in which case the Green function sequence is not padded at all, and only
+the charge density sequence, $\left\{r_k\right\}$, is zero-padded, with $k=0,\ldots,K-1$ corresponding to the physical region
+and $k=K,\ldots,M-1$ corresponding to the zero-padded region.
+
+%As just shown, FFT's can be used to compute the convolution shown in \eqnref{bruteforceconvolution}, with no zero-padding of the Green function,
+%as long as there are $J$ values of the potential, $K$ values of the charge density, and $J+K-1$ values of the Green function.
+%%%This is normally the case in particle-in-cell beam dynamics codes, in fact it is usually the case that J=K (the region containing the charge is also the
+%%%region within which the potential is computed), and the Green function is defined on...
+%These conditions are usually satisfied in particle-in-cell beam dynamics code, which have a a grid containing the charge density,
+%and which have a grid containing the Green function ({\it e.g.}, \eqnref{isolatedgreenfunction}, \eqnref{rgreenfunction}, or \eqnref{rintgreenfunction})
+%for both positive and negative arguments.
+
+The above FFT-based approach -- zero-padding the charge density array, and circular-shifting the Green function in accordance with \eqnref{periodicgreenfunction} -- will work in general.
+In addition, if the Green function is a symmetric function of its arguments, the value at the end of the Green function array
+%(at grid point $J-1$ in this discussion)
+(at grid point $J-1$)
+can be dropped, since it will be recovered implicitly through the symmetry of \eqnref{periodicgreenfunction}.
+In that case the approach is identical to the Hockney method \cite{hockney, eastwoodandbrownrigg,hockneyandeastwood}.
+%Naively one might expect that, for a Green function defined at grid points $(0,\pm 1, \pm 2,\ldots)$, there would be an odd number of grid points.
+%But since the last point can be dropped, Green function arrays usually have an even number of grid points.
+
+%When the free space Green function is a symmetric function of $\vec{x}-\vec{x'}$, a circular shift of the Green function array, moving $\vec{x}-\vec{x'}=0$ from the
+%center of the grid to the corner corresponding to the origin of grid points, produces a periodic Green function that is identical to the
+%periodic Green function used in the Hockney method. Viewed this way, the only difference between an ``ordinary" FFT-based convolution
+%and one described by Hockney is a circular shift of the Green function. The usual description of the Hockney approach involves making the Green function periodic and symmetric,
+%but that is because the Green function for the free space potential is symmetric; if the Hockney approach were used to directly compute the electric fields
+%by convolving the charge density with the electric field Green functions, then the Green functions would have to be anti-symmetrized.
+%But when viewed simply as a convolution in which the charge density is zero padded, no explicit period-ization is required (because it it
+%implicit in the FFT-based approach), so it will work for any Green function, regardless of symmetry.
+
+%In the area of signal processing, the values of charge density, $\left\{r_k\right\}$, correspond to the response function,
+%and the values of the Green function, $\left\{x_{j-k}\right\}$ or $\left\{x_m\right\}$, correspond to the signal.
+%Based on the above discussion it follows that, if two arbitrary sequences $\left\{r_0,\ldots,r_{K-1}\right\}$ and $\left\{x_0,\ldots,x_{M-1}\right\}$ are to be convolved
+%to produce a sequence $\left\{p_0,\ldots,p_{J-1}\right\}$, and if the number of points in $\left\{x_m\right\}$ is less than $J+K-1$, then,
+%in order to use FFT's, the sequence $\left\{p_j\right\}$ needs to be zero-padded to extend it to have $J+K-1$ points.
+
+Lastly, note that the above proof that the convolution, \eqnref{fftconvolution}, is identical to \eqnref{bruteforceconvolution} in the unpadded region, works even when
+$W^{-j k}$ and $W^{m k}$ are replaced by $W^{j k}$ and $W^{-m k}$, respectively, in \eqnref{fftconvolution}. In other words, the FFT-based approach can be used to compute
+\begin{equation}
+\bar{\phi}_j=\sum_{k=0}^{K-1}\bar{\rho}_k \bar{G}_{j+k}\quad,
+\begin{array}{l}
+j=0,\ldots,J-1 \\
+k=0,\ldots,K-1 \\
+j-k=-(K-1),\ldots,J-1 \\
+\end{array}
+\label{eq:bruteforcecorrelation}
+\end{equation}
+simply by changing the direction of the Fourier transform of the Green function and changing the direction of the final Fourier transform.
+
+\subsubsection{Algorithm used in \opal}
+
+As a result, the solution of \eqnref{openbruteforceconvolution} is then given by
+
+\begin{equation}
+\phi_{i,j,k}=h_x h_y h_z \text{FFT}^{-1} \{ ( \text{FFT}\{\rho_{i,j,k}\}) ( \text{FFT}\{G_{i,j,k}\}) \}
+\label{eq:oneterm}
+\end{equation}
+where the notation has been introduced that $\text{FFT}\{ . \}$ denotes a forward FFT in all 3 dimensions,
+and $\text{FFT}^{-1}\{ . \}$ denotes a backward FFT in all 3 dimensions.
+
+
+%In order to obtain ${\cal M}_2$ in \eqnref{splitOper1} we must solve Poisson's equation,
+%where $\rho$ stands for the
+%charge density and $\phi$ for the scalar electrostatic potential:
+%\begin{equation}\label{eq:Poisson}
+%\nabla^2 \phi(\vec{q}) = - \frac{\rho(\vec{q})}{\epsilon_0}
+%\end{equation}
+%subject to open boundary conditions in all spatial directions: $\phi (\vec{q}) \rightarrow 0$ as $|\vec{q}| \rightarrow \infty$ or
+%imposing periodic boundary conditions in longitudinal directions. The assumption of using an ``isolated system`` is physically
+%motivated by observing the ratio of the beam size to vacuum vessel domensions. It has the computational advantages that one can use cyclic convolution in \eqnref{FourierPoisson}.
+%The computational domain $\Omega \subset \R^3$ is simply connected and has a cylindrical
+%or rectilinear shape.
+%The corresponding integral equation reads:
+%\begin{equation}
+%\phi(\vec{q}) = \dis\int\limits_\Omega \, G(\vec{q} - \vec{q}\primed) \,\rho (\vec{q'}) \;\differential{} \vec{q}\primed , \;\;\Omega \subset \R^3
+%\end{equation}
+%where $G$ is the Green's function which gives the response to a unit source term. In 3D we have
+%\begin{equation}
+%G(\vec{q}-\vec{q}\primed) = \dis\frac{1}{4 \pi \,|\vec{q} - \vec{q}\primed|} \,.
+%\end{equation}
+%The electric field then follows from the electrostatic potential
+%\begin{equation}\label{eq:Electric}
+%\vec{E} = - \nabla \phi.
+%\end{equation}
+
+%The charges are assigned from the particle positions in continuum, onto the grid using
+%one of two available interpolation schemes: cloud in cell (CIC) or nearest grid point (NGP).
+%Then the Poisson equation is solved on the mesh and the electric field at the particle positions is obtained by
+%interpolating back from the mesh. The use of the convolution theorem to solve the discretized Poisson
+%equation \eqref{Poisson} on the grid can dramatically improve performance.
+
+%Let $\Omega^D$ be spanned by a mesh of $l \times n \times m$ with $l= 1 \dots M_x$, $n= 1\dots M_x$ and $m= 1 \dots M_t$.
+%The solution of the discretized Poisson equation with $\vec{k}=(l,n,m,)$
+%\begin{equation}\label{eq:DiscretizedPoisson}
+%\nabla^{2} \phi^D(\vec{k}) = - \frac{\rho^D(\vec{k})}{\epsilon_0}, \vec{k} \in \Omega^D.
+%\end{equation}
+%$\phi^D$ then is given by convolution with the appropriate discretized Green's function $G_D$:
+%\begin{equation}
+%\phi^D = \rho^D * G^D.
+%\end{equation}
+%In Fourier space (hats) the convolution becomes a simple multiplication, with
+%\[
+%G(\vec{q})=\frac{1}{4\pi}\frac{1}{|\vec{q}|}\longrightarrow \widehat{G}(\vec{k})=-\frac{1}{4\pi}\frac{1}{|\vec{k}|^2}
+%\]
+%and we get:
+%\begin{equation}\label{eq:FourierPoisson}
+%\widehat{\phi}^D = \widehat{\rho}^D \cdot \widehat{G}^D.
+%\end{equation}
+%Thus, the convolution sum is converted to a single multiplication at the cost of a Fourier transform. Fortunately, Fast Fourier Transform (FFT) on the mesh is a very fast and accurate method
+%of transforming mesh-defined quantities to Fourier space. It needs $\mathcal{O}$($M\log M$) computational effort, so that, together with the interpolations, an overall scaling of $\mathcal{O}$($N+M\log M$) is achieved.
+
+%In order to have good spatial resolution, small grid sizes are often necessary, which again require a
+%large number of particles. Therefore, both the grid size $M$ and the particle number $N$
+%are limiting factors.
+%The PM Solver Algorithm is summarized in the following algorithm:
+%\begin{tabbing}
+%{\bf PM Solver Algorithm}\\
+%\quad $\triangleright$ Assign particle charges $q_i$ to nearby mesh points to obtain $\rho^D$ \\
+%\quad $\triangleright$ Use FFT on $\rho^D$ and $G^D$ to obtain $\widehat{\rho}^D$ and $\widehat{G}^D$ \\
+%\quad $\triangleright$ Determine $\widehat{\phi}^D$ on the grid using $\widehat{\phi}^D = \widehat{\rho}^D \cdot \widehat{G}^D$ \\
+%\quad $\triangleright$ Use inverse FFT on $\widehat{\phi }^D$ to obtain $\phi^D$ \\
+%\quad $\triangleright$ Compute $\vec{E}^D= -\nabla \phi^D$\footnote{using a second order finite difference method} \\
+%\quad $\triangleright$ Interpolate $\vec{E(\vec{q})}$ at particle positions $\vec{q}$ from $\vec{E}^D$ \\
+%\end{tabbing}
+%\subsubsection{Open and Periodic Boundary Conditions}
+%In order to meet open boundary conditions and to remove the intrinsic periodicity of the FFT, the grid size needs to be doubled in all spatial dimensions and the charge distribution is located at only one octant. The charge distribution is set equal to zero elsewhere. If the potential is then calculated in the entire enlarged region, the correct potential for an isolated system is obtained in the `physical' octant. This is referred to as the `Hockney Trick' \cite{hockney}. For periodic boundary conditions in the longitudinal direction, the Hockney trick is applied to the transverse directions only.
+%The main drawback of this method is its high storage requirement. However, using symmetries one is
+%able to bound the required storage to $2N_g$ where $N_g$ is the grid size used in the physical
+%region of the calculation (see \cite{hockney} on p. 213).
+\subsubsection{Interpolation Schemes}
+\index{Field Solver!Interpolation Schemes} \latermore
+
+%\label{sec:interpol}
+%Both charge assignment and electric field interpolation are related to the interpolation
+%scheme used. A detailed discussion is given in~\cite{hockney}.
+%If $e_i$ is the charge of a particle, we can write the density at mesh point $\vec{k}_m$ as
+%\begin{equation}\label{eq:discRho}
+%\rho(\vec{k}_m)^D = \sum_{i=1}^N e_i\cdot W(\vec{q}_i,\vec{k}_m), ~ m=1\dots M
+%\end{equation}
+%where $W$ is a suitably chosen weighting function (with local support).
+%The simplest scheme is the nearest grid point (NGP) method, where the total particle charge is assigned to
+%the nearest grid point and the electric field is also evaluated at the nearest grid point. A more
+%elaborate scheme is called cloud in cell (CIC). It assigns the charge to the $2^d$ nearest grid points and
+%also interpolates the electric field from these grid points. The assigned density changes are continuous when
+%a particle moves across a cell boundary, although the first derivative is discontinuous. A schematic of the
+%CIC interpolation scheme is shown in \figref{CIC} for the two-dimensional case.
+%%total momentum consered. errors small at large particle separations. charge assignement schould vary smoothly as particle position changes.
+% \begin{figure}
+% \begin{center}
+%% \includegraphics[width=0.75\linewidth]{\figdir/cic.eps}
+% \caption[CIC interpolation scheme]{\label{fig:CIC} \it CIC interpolation scheme.}
+% \end{center}
+% \end{figure}
+
+\section{Iterative Space Charge Solver}
+\index{Field Solver!Iterative}
+This is a scalable parallel solver for the Poisson equation
+ within a Particle-In-Cell (PIC) code for the simulation of electron
+ beams in particle accelerators of irregular shape. The problem is
+ discretized by Finite Differences. Depending on the treatment of the
+ Dirichlet boundary the resulting system of equations is symmetric or
+ `mildly' non-symmetric positive definite. In all cases, the system is
+ solved by the preconditioned conjugate gradient algorithm with
+ smoothed aggregation (SA) based algebraic multigrid (AMG)
+ preconditioning. More details are given in \cite{Adelmann:2009p543}.
+
+\section{Energy Binning}
+\index{Field Solver!Energy Binning}
+The beam out of a cathode or in a plasma wake field accelerator can have a large energy spread.
+In this case, the static approximation using one Lorentz frame might not be sufficient. Multiple
+Lorentz frames can be used so that within each Lorentz frame the energy
+spread is small and hence the electrostatic approximation is valid.
+ \latermore
+
+\section{The \keyword{FIELDSOLVER} Command}
+\label{sec:fieldsolvercmd}
+\index{Field Solver!Command}
+\index{FIELDSOLVER}
+See \tabref{fieldsolvercmd} for a summary of the Fieldsolver command.
+\begin{table}[ht] \footnotesize
+ \begin{center}
+ \caption{Fieldsolver command summary}
+ \label{tab:fieldsolvercmd}
+ \begin{tabular}{|l|p{0.6\textwidth}|l|}
+ \hline
+ \tabhead{Command & Purpose}
+ \hline
+ \tabline{FIELDSOLVER}{Specify a fieldsolver}
+ \tabline[sec:FSFSTYPE]{FSTYPE}{Specify the type of field solver: \keyword{FFT}, \keyword{FFTPERIODIC}, \keyword{MG}, \keyword{AMR} and \keyword{NONE}
+ \index{FFT}\index{FFTPERIODIC}\index{MG}\index{AMR}\index{NONE}}
+ \tabline[sec:FSDomDEC]{PARFFTX}{If \keyword{TRUE}, the dimension $x$ is distributed among the processors}
+ \tabline[sec:FSDomDEC]{PARFFTY}{If \keyword{TRUE}, the dimension $y$ is distributed among the processors}
+ \tabline[sec:FSDomDEC]{PARFFTZ}{If \keyword{TRUE}, the dimension $z$ is distributed among the processors}
+ \tabline[sec:FSMX]{MX}{Number of grid points in $x$ specifying rectangular grid}
+ \tabline[sec:FSMX]{MY}{Number of grid points in $y$ specifying rectangular grid}
+ \tabline[sec:FSMX]{MZ}{Number of grid points in $z$ specifying rectangular grid}
+ \tabline[sec:FSBC]{BCFFTX}{Boundary condition in $x$ [\keyword{OPEN}]}
+ \tabline[sec:FSBC]{BCFFTY}{Boundary condition in $y$ [\keyword{OPEN}]}
+ \tabline[sec:FSBC]{BCFFTZ}{Boundary condition in $z$ [\keyword{OPEN,PERIODIC}]}
+ \tabline[sec:FSGREEN]{GREENSF}{Defines the Greens function for the FFT Solver}
+ \tabline[sec:FSBBOX]{BBOXINCR}{Enlargement of the bounding box in \%}
+ \tabline[sec:GEOMETRY]{GEOMETRY}{Geometry to be used as domain boundary}
+ \tabline[sec:ITSOLVER]{ITSOLVER}{Type of iterative solver}
+ \tabline[sec:INTERPL]{INTERPL}{Interpolation used for boundary points}
+ \tabline[sec:TOL]{TOL}{Tolerance for iterative solver}
+ \tabline[sec:MAXITERS]{MAXITERS}{Maximum number of iterations of iterative solver}
+ \tabline[sec:PRECMODE]{PRECMODE}{Behavior of the preconditioner}
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\section{Define the Fieldsolver to be used}
+\label{sec:FSFSTYPE}
+\index{FSFSTYPE}
+At present only a FFT based solver is available. Future solvers will include
+Finite Element solvers and a Multigrid solver with Shortley-Weller boundary conditions for
+irregular domains.
+
+\section{Define Domain Decomposition}
+\label{sec:FSDomDEC}
+\index{FSDomDEC}
+The dimensions in $x$, $y$ and $z$ can be parallel (\keyword{TRUE}) or serial \keyword{FALSE}. The
+default settings are: parallel in $z$ and serial in $x$ and $y$.
+
+\section{Define Number of Grid Points}
+\label{sec:FSMX}
+\index{FSMX}
+Number of grid points in $x$, $y$ and $z$ for a rectangular grid.
+
+\section{Define Boundary Conditions}
+\label{sec:FSBC}
+\index{FSBC}
+Two boundary conditions can be selected independently among $x$, $y$ namely: \keyword{OPEN} and for $z$ \keyword{OPEN} \& \keyword{PERIODIC}\index{OPEN}\index{PERIODIC}.
+In the case you select for $z$ periodic you are about to model a DC-beam.
+
+\section{Define Greens Function}
+\label{sec:FSGREEN}
+\index{FSGREEN}
+Two Greens functions can be selected: \keyword{INTEGRATED}, \keyword{STANDARD}. The integrated Green's function is described in \cite{qiang2005, qiang2006-1, qiang2006-2}. Default setting is \keyword{INTEGRATED}.
+
+\section{Define Bounding Box Enlargement}
+\label{sec:FSBBOX}
+\index{FSBBOX}
+The bounding box defines a minimal rectangular domain including all particles. With \keyword{BBOXINCR}
+the bounding box can be enlarged by a factor given in percent of the minimal rectangular domain.
+
+\section{Define Geometry}
+\label{sec:GEOMETRY}
+\index{GEOMETRY}
+The list of geometries defining the beam line boundary. For further details see \chpref{geometry}.
+
+\section{Define Iterative Solver}
+\label{sec:ITSOLVER}
+\index{ITSOLVER}
+The iterative solver for solving the preconditioned system: \keyword{CG}\index{ITSOLVER!CG}, \keyword{BiCGSTAB}\index{ITSOLVER!BiCGSTAB} or \keyword{GMRES}\index{ITSOLVER!GMRES}.
+
+\section{Define Interpolation for Boundary Points}
+\label{sec:INTERPL}
+\index{INTERPL}
+The interpolation method for grid points near the boundary: \keyword{CONSTANT}\index{INTERPL!CONSTANT}, \keyword{LINEAR}\index{INTERPL!LINEAR} or \keyword{QUADRATIC}\index{INTERPL!QUADRATIC}.
+
+\section{Define Tolerance}
+\label{sec:TOL}
+\index{TOL}
+The tolerance for the iterative solver used by the \keyword{MG} solver.
+
+\section{Define Maximal Iterations}
+\label{sec:MAXITERS}
+\index{MAXITERS}
+The maximal number of iterations the iterative solver performs.
+
+\section{Define Preconditioner Behavior}
+\label{sec:PRECMODE}
+\index{PRECMODE}
+The behavior of the preconditioner can be: \keyword{STD}\index{PRECMODE!STD}, \keyword{HIERARCHY}\index{PRECMODE!HIERARCHY} or \keyword{REUSE}\index{PRECMODE!REUSE}. This argument is only relevant when using the \keyword{MG} solver and should \textbf{only be set if the consequences to simulation and solver are evident}. A short description is given in \tabref{preconditioner_behaviour}.
+
+\begin{table}[ht] \footnotesize
+ \begin{center}
+ \caption{Preconditioner behavior command summary}
+ \label{tab:preconditioner_behaviour}
+ \begin{tabular}{|l|p{0.6\textwidth}|}
+ \hline
+ \tabhead{Value & Behavior}
+ \hline
+ \keyword{STD} & The preconditioner is rebuilt in every time step (enabled by default) \\
+ \keyword{HIERARCHY} & The hierarchy (tentative prolongator) is reused \\
+ \keyword{REUSE} & The preconditioner is reused \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\section{Define the number of Energy Bins to use}
+\label{sec:FSENBINS}
+\index{FSENBINS}
+Suppose $\differential E$ the energy spread in the particle bunch is to large, the electrostatic approximation is no longer valid.
+One solution to that problem is to introduce $k$ energy bins and perform $k$ separate field solves
+in which $\differential E$ is again small and hence the electrostatic approximation valid. In case of a cyclotron
+\seesec{cyclotron} the number of energy bins must be at minimum the number of neighboring bunches (\keyword{NNEIGHBB}) i.e. $\text{\keyword{ENBINS}} \le \text{\keyword{NNEIGHBB}}$.
+
+The variable \keyword{MINSTEPFORREBIN} defines the number of integration step that have to pass until all energy bins are merged into one.
+\index{Field Solver|)}
+\input{footer}
\ No newline at end of file
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diff --git a/doc/user_guide/figures/Elements/RBend.tex b/doc/user_guide/figures/Elements/RBend.tex
new file mode 100644
index 0000000000000000000000000000000000000000..7b448b8e8176b092ced041777694087b49e95cbd
--- /dev/null
+++ b/doc/user_guide/figures/Elements/RBend.tex
@@ -0,0 +1,59 @@
+\begin{figure}[!htb]
+ \begin{center}
+ \begin{tikzpicture}[scale=4]
+ % First draw rectangular magnet shape.
+ \draw[white,rotate around={-15:(0.0,0.0)}] (0.0,1.0) -- (0.4829629,1.0)
+ node[above=2pt] {\Large{\textbf{\color{black}$L$}}};
+ \filldraw[yellow!30!white,rotate around={-15:(0.0,0.0)}] (0,-1.0) rectangle (0.9659258,1.0);
+ \draw[line width=1pt,rotate around={-15:(0.0,0.0)}] (0,-1.0) rectangle (0.9659258,1.0);
+
+ % Now draw squares indicating 90 degree angles to bend radius at entrance and exit.
+ \draw[line width=1pt] (0.0,0.0) rectangle (-0.1,0.1);
+ \draw[line width=1pt,rotate around={-60:(0.0,-1.0)}]
+ (0.0,0.0) rectangle (0.1,0.1);
+
+ % Draw reference particle path.
+ \draw[white] (-1.1,0.0) -- (-0.6,0.0)
+ node[above=2pt] {\textbf{\color{black}Reference Trajectory}};
+ \draw[arrows=->,line width=2pt] (-1.0,0.0) -- (-0.5,0.0);
+ \draw[line width=2pt] (-0.5,0.0) -- (0.0,0.0);
+ \draw[arrows=->,line width=2pt] (0.0,0.0) arc (90:60:1.0);
+ \draw[line width=2pt] (0.5,-0.133975) arc (60:30:1.0);
+ \draw[arrows=->,line width=2pt] (0.8660254,-0.5) -- (1.1160254,-0.9330127);
+
+ % Draw bend angle.
+ \fill[green!50!white] (0.0,-1.0) -- (0.0,-0.5) arc (90:30:0.5) -- (0.0,-1.0);
+ \draw[green!50!white] (0.0,-0.75) arc (90:60:0.25)
+ node[fill=white] {\Large{\textbf{\color{blue}$\alpha$}}};
+
+ % Draw bend radii at entrance and exit.
+ \draw[blue,line width=4pt] (0.0,-1.0) -- (0.0,-0.5)
+ node[blue,left=1pt,fill=white] {\Large{\textbf{$R$}}};
+ \draw[arrows=->,blue,line width=4pt] (0.0,-0.5) -- (0.0,0.0);
+ \draw[blue,line width=4pt] (0.0,-1.0) -- (0.4330127,-0.75)
+ node[below=6pt,right=0pt,fill=white] {\Large{\textbf{$R$}}};
+ \draw[arrows=->,blue,line width=4pt] (0.4330127,-0.75) -- (0.8660254,-0.5);
+ \filldraw[blue] (0.0,-1.0) circle (0.25pt);
+
+ % Draw reference axes.
+ \draw[red,arrows=->,line width=1pt] (0.0,0.0) -- (0.0,0.75) node[left=3pt] {\Large{\textbf{$x$}}};
+ \draw[red,arrows=->,line width=1pt] (0.0,0.0) -- (0.75,0.0) node[right=3pt] {\Large{\textbf{$z$}}};
+
+ % Label entrance angle.
+ \draw[line width=1pt] (0.0,0.5) arc (90:75:0.5);
+ \draw[white] (0.0,0.6) arc (90:82.5:0.6) node[] {\Large{\textbf{\color{black}$E_{1}$}}};
+
+ % Label exit angle.
+ \draw[line width=1pt,xshift=0.8660254cm,yshift=-0.5cm,rotate around={-60:(0.0,0.0)}] (0.0,0.0) -- (0.0,0.5);
+ \draw[line width=1pt,xshift=0.8660254cm,yshift=-0.5cm,rotate around={-15:(0.0,0.0)}] (0.0,0.5) arc(90:45:0.5);
+ \draw[white,xshift=0.8660254cm,yshift=-0.5cm,rotate around={-15:(0.0,0.0)}] (0.0, 0.6) arc (90:67.5:0.6)
+ node[] {\Large{\textbf{\color{black}$E_{2}$}}};
+
+ \end{tikzpicture}
+ \end{center}
+ \caption{Illustration of a general rectangular bend (\keyword{RBEND}) with a positive bend angle $\alpha$. The
+ entrance edge angle, $E_{1}$, is positive in this example. An \keyword{RBEND} has parallel entrance and exit
+ pole faces, so the exit angle, $E_{2}$, is uniquely determined by the bend angle, $\alpha$, and $E_{1}$
+ ($E_{2}=\alpha - E_{1}$). For a positively charge particle, the magnetic field is directed out of the page.}
+ \label{fig:rbend}
+\end{figure}
\ No newline at end of file
diff --git a/doc/user_guide/figures/Elements/SBend.tex b/doc/user_guide/figures/Elements/SBend.tex
new file mode 100644
index 0000000000000000000000000000000000000000..ed144325e2544de3478717ce1ca49b3e17c39595
--- /dev/null
+++ b/doc/user_guide/figures/Elements/SBend.tex
@@ -0,0 +1,67 @@
+\begin{figure}[!htb]
+ \begin{center}
+ \begin{tikzpicture}[scale=4]
+ % Draw magnet shape.
+ \filldraw[yellow!30!white] (-0.709667,-1.22216292)
+ -- (0.4055127895,0.702368754) arc (76.6015496:-21.2704331:1.75)
+ -- (-0.709667,-1.22216292);
+
+ \draw[line width=1pt, rotate around={-30:(0.0,0.0)}] (0,-1.42) -- (0,0.811025579);
+ \draw[line width=1pt] (0.40551279,0.70236875) arc (76.6015496:-21.2704331:1.75);
+ \draw[line width=1pt] (1.6307875,-1.6348482) -- (-0.709667,-1.22216292);
+
+ % Now draw squares indicating 90 degree angles to bend radius at entrance and exit.
+ \draw[line width=1pt] (0.0,0.0) rectangle (-0.1,0.1);
+ \draw[line width=1pt,xshift=0.8660254cm,yshift=-1.5cm,rotate around={60:(0.0,0.0)}]
+ (-0.1,-0.1) rectangle (0.0,0.0);
+
+ % Draw reference particle path.
+ \draw[white] (-1.1,0.0) -- (-0.6,0.0)
+ node[above=2pt] {\textbf{\color{black}Reference Trajectory}};
+ \draw[arrows=->,line width=2pt] (-1.0,0.0) -- (-0.5,0.0);
+ \draw[line width=2pt] (-0.5,0.0) -- (0.0,0.0);
+ \draw[arrows=->,line width=2pt] (0.0,0.0) arc (90:30:1.0);
+ \draw[line width=2pt] (0.8660254,-0.5) arc (30:-30:1.0);
+ \draw[arrows=->,line width=2pt] (0.8660254,-1.5) -- (0.6160254,-1.9330127);
+
+ % Draw bend angle.
+ \fill[green!50!white] (0.0,-1.0) -- (0.0,-0.5) arc (90:-30:0.5) -- (0.0,-1.0);
+ \draw[green!50!white] (0.0,-0.75) arc (90:30:0.25)
+ node[fill=white] {\Large{\textbf{\color{blue}$\alpha$}}};
+
+ % Label chord length.
+ \draw[line width=2pt] (0.0,0.0) -- (0.4330127,-0.75)
+ node[fill=white,right=2pt] {\Large{\textbf{\color{black}$L$}}};
+ \draw[line width=2pt] (0.4330127,-0.75) -- (0.8660254,-1.5);
+
+ % Draw bend radii at entrance and exit.
+ \draw[blue,line width=4pt] (0.0,-1.0) -- (0.0,-0.5)
+ node[blue,left=1pt,fill=white] {\Large{\textbf{$R$}}};
+ \draw[arrows=->,blue,line width=4pt] (0.0,-0.5) -- (0.0,0.0);
+
+ \draw[blue,line width=4pt] (0.0,-1.0) -- (0.4330127,-1.25)
+ node[below=0pt,fill=white] {\Large{\textbf{$R$}}};
+ \draw[arrows=->,blue,line width=4pt] (0.4330127,-1.25) -- (0.8660254,-1.5);
+ \filldraw[blue] (0.0,-1.0) circle (0.25pt);
+
+ % Draw reference axes.
+ \draw[red,arrows=->,line width=1pt] (0.0,0.0) -- (0.0,0.75) node[left=3pt] {\Large{\textbf{$x$}}};
+ \draw[red,arrows=->,line width=1pt] (0.0,0.0) -- (0.75,0.0) node[right=3pt] {\Large{\textbf{$z$}}};
+
+ % Label entrance angle.
+ \draw[line width=1pt] (0.0,0.5) arc (90:60:0.5);
+ \draw[white] (0.0,0.6) arc (90:75:0.6) node[] {\Large{\textbf{\color{black}$E_{1}$}}};
+
+ % Label exit angle.
+ \draw[line width=1pt,xshift=0.8660254cm,yshift=-1.5cm,rotate around={-120:(0.0,0.0)}] (0.0,0.0) -- (0.0,0.5);
+ \draw[line width=1pt,xshift=0.8660254cm,yshift=-1.5cm,rotate around={-120:(0.0,0.0)}] (0.0,0.5) arc(90:110:0.5);
+ \draw[white,xshift=0.8660254cm,yshift=-1.5cm,rotate around={-120:(0.0,0.0)}] (0.0, 0.6) arc (90:100:0.6)
+ node[] {\Large{\textbf{\color{black}$E_{2}$}}};
+
+ \end{tikzpicture}
+ \end{center}
+ \caption{Illustration of a general sector bend (\keyword{SBEND}) with a positive bend angle $\alpha$. In this example
+ the entrance and exit edge angles $E_{1}$ and $E_{2}$ have positive values. For a positively charge particle,
+ the magnetic field is directed out of the page.}
+ \label{fig:sbend}
+\end{figure}
\ No newline at end of file
diff --git a/doc/user_guide/figures/Elements/enge.gnu b/doc/user_guide/figures/Elements/enge.gnu
new file mode 100644
index 0000000000000000000000000000000000000000..bb697a442f76d094b6e22d5dbe719fc900809b0c
--- /dev/null
+++ b/doc/user_guide/figures/Elements/enge.gnu
@@ -0,0 +1,50 @@
+# Plot of Enge function.
+reset
+set output "Enge-func-plot.png"
+set term pngcairo
+#set termoption enhanced
+
+# Constants
+z0 = 5.0 # Enge function origin (cm).
+D = 2.0 # Magnet gap (cm).
+delta1 = 10.0 # Fringe field region in front of z0.
+delta2 = 10.0 # Fringe field region after of z0.
+
+# Enge coefficients.
+c0 = 0.478959
+c1 = 1.911289
+c2 = -1.185953
+c3 = 1.630554
+c4 = -1.082657
+c5 = 0.318111
+
+# Define Enge function.
+f(x) = ((x > (z0 - delta1)) && (x < (z0 + delta2))) ? \
+1.0 / (1.0 + exp(c0 \
++ c1 * (z0 - x) / D \
++ c2 * ((z0 - x) / D)**2 \
++ c3 * ((z0 - x) / D)**3 \
++ c4 * ((z0 - x) / D)**4 \
++ c5 * ((z0 - x) / D)**5)) : 0.0
+
+# Set plot parameters.
+unset key
+set xrange[0.0:10.0]
+set yrange[0.0:1.2]
+
+set xlabel "z (cm)"
+set ylabel "B_z (Normalized)"
+
+# Draw points of interest.
+set arrow from z0,0.0 to z0,1.2 nohead
+set object 1 rect from z0+0.5,0.0 to 10.0,1.2 fc rgb "blue" fs transparent solid 0.15 noborder
+set label "Magnet Interior" at 7.75,0.6 center
+
+set label "Magnet Edge" at 7.0,0.25 center
+set arrow from 7.0,0.2 to z0+0.5,0.0
+
+set label "Enge Function\nOrigin" at 4.0,0.5 center
+set arrow from 4.0,0.4 to z0,0.0
+
+# Plot.
+plot f(x) with l lt rgb "red"
diff --git a/doc/user_guide/figures/Elements/sbend3d-1.pdf b/doc/user_guide/figures/Elements/sbend3d-1.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..5873084df6b0a1f3c5e0fe20dd70969c0c6dcf68
Binary files /dev/null and b/doc/user_guide/figures/Elements/sbend3d-1.pdf differ
diff --git a/doc/user_guide/figures/Elements/sbend3d-2.pdf b/doc/user_guide/figures/Elements/sbend3d-2.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..bd1939aa5ace86b8cd3722cc97f1a9517f103f23
Binary files /dev/null and b/doc/user_guide/figures/Elements/sbend3d-2.pdf differ
diff --git a/doc/user_guide/figures/Fieldmaps/1DDynamic_fast_step82.png b/doc/user_guide/figures/Fieldmaps/1DDynamic_fast_step82.png
new file mode 100644
index 0000000000000000000000000000000000000000..15f1b6efb805468f0ed153155b92029dc9d2d885
Binary files /dev/null and b/doc/user_guide/figures/Fieldmaps/1DDynamic_fast_step82.png differ
diff --git a/doc/user_guide/figures/Fieldmaps/1DDynamic_step82.png b/doc/user_guide/figures/Fieldmaps/1DDynamic_step82.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c3ffb11623a99de0e96e8d08ed84230f63e1776
Binary files /dev/null and b/doc/user_guide/figures/Fieldmaps/1DDynamic_step82.png differ
diff --git a/doc/user_guide/figures/Fieldmaps/2DDynamic_step82.png b/doc/user_guide/figures/Fieldmaps/2DDynamic_step82.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc905027f585fb4ba7efe358591995bb9feb9c33
Binary files /dev/null and b/doc/user_guide/figures/Fieldmaps/2DDynamic_step82.png differ
diff --git a/doc/user_guide/figures/Fieldmaps/order-1.pdf b/doc/user_guide/figures/Fieldmaps/order-1.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..c78ed724a885babb98af525acc97397e5a15d4ca
Binary files /dev/null and b/doc/user_guide/figures/Fieldmaps/order-1.pdf differ
diff --git a/doc/user_guide/figures/Fieldmaps/order-2.pdf b/doc/user_guide/figures/Fieldmaps/order-2.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..dba63e8e199d3d30f3c270465c992d7a4013e631
Binary files /dev/null and b/doc/user_guide/figures/Fieldmaps/order-2.pdf differ
diff --git a/doc/user_guide/figures/Fieldmaps/order.mp b/doc/user_guide/figures/Fieldmaps/order.mp
new file mode 100644
index 0000000000000000000000000000000000000000..e98f32f41453ca0505d299268ad432036e4b2c34
--- /dev/null
+++ b/doc/user_guide/figures/Fieldmaps/order.mp
@@ -0,0 +1,38 @@
+beginfig(1);
+defaultscale:=0.8;
+defaultfont:="ptmr8r";
+a=0.5cm;
+b=0.3cm;
+pickup pencircle scaled 3pt;
+for i=0 upto 10:
+ for j=1 upto 9:
+ drawdot(i*a + b,j*b);
+ endfor
+endfor
+pickup pencircle scaled 1pt;
+drawarrow (0,0)--(0,9b);
+drawarrow (0,0)--(10a+b,0b);
+pickup pencircle scaled 0.5pt;
+draw (b,b)--(10a+b,b)--(b,2b)--(10a+b,2b)--(b,3b)--(10a+b,3b)--(b,4b)--(10a+b,4b)--(b,5b)--(10a+b,5b)--(b,6b)--(10a+b,6b)--(b,7b)--(10a+b,7b)--(b,8b)--(10a+b,8b)--(b,9b)--(10a+b,9b);
+label.bot(btex z (primary direction) etex scaled 0.7, (7a+b,0));
+label.lft(btex r (secondary direction) etex rotated 90 scaled 0.7, (0,6b));
+endfig;
+
+beginfig(2);
+defaultscale:=1.4;
+defaultfont:="ptmr8r";
+pickup pencircle scaled 3pt;
+for i=0 upto 10:
+ for j=1 upto 9:
+ drawdot(i*a + b,j*b);
+ endfor
+endfor
+pickup pencircle scaled 1pt;
+drawarrow (0,0)--(0,9b);
+drawarrow (0,0)--(10a+b,0b);
+pickup pencircle scaled 0.5pt;
+draw (b,b)--(b,9b)--(a+b,b)--(a+b,9b)--(2a+b,b)--(2a+b,9b)--(3a+b,b)--(3a+b,9b)--(4a+b,b)--(4a+b,9b)--(5a+b,b)--(5a+b,9b)--(6a+b,b)--(6a+b,9b)--(7a+b,b)--(7a+b,9b)--(8a+b,b)--(8a+b,9b)--(9a+b,b)--(9a+b,9b)--(10a+b,b)--(10a+b,9b);
+label.bot(btex z (secondary direction) etex scaled 0.7, (7a+b,0));
+label.lft(btex r (primary direction) etex rotated 90 scaled 0.7, (0,6b));
+endfig;
+end
diff --git a/doc/user_guide/figures/Fieldmaps/profile-1.pdf b/doc/user_guide/figures/Fieldmaps/profile-1.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..e27da1af19f5575b6f800ef9c2f42fb0782defdd
Binary files /dev/null and b/doc/user_guide/figures/Fieldmaps/profile-1.pdf differ
diff --git a/doc/user_guide/figures/Fieldmaps/profile-sbend.pdf b/doc/user_guide/figures/Fieldmaps/profile-sbend.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..dd649b5f85447899c3b1b43260fe4bbbea8b8a70
Binary files /dev/null and b/doc/user_guide/figures/Fieldmaps/profile-sbend.pdf differ
diff --git a/doc/user_guide/figures/Fieldmaps/profile.mp b/doc/user_guide/figures/Fieldmaps/profile.mp
new file mode 100644
index 0000000000000000000000000000000000000000..45be7c9846310f2c4c98535cf4ee9a26a22ef622
--- /dev/null
+++ b/doc/user_guide/figures/Fieldmaps/profile.mp
@@ -0,0 +1,40 @@
+beginfig(1)
+defaultscale:=1.4;
+defaultfont:="ptmr8r";
+a=0.05cm;
+b=4cm;
+pickup pencircle scaled 1.5pt;
+draw (0cm,0cm)--(15.75cm,0cm)--(15.75cm,4.0cm)--(0cm,4.0cm)--cycle;
+pickup pencircle scaled 0.5pt;
+%draw (74a,0cm)--(74a,4.0cm);
+%draw (37a,0cm)--(37a,4.0cm);
+%draw (245a,0cm)--(245a,4.0cm);
+%draw (280a,0cm)--(280a,4.0cm);
+draw (0cm,0cm)--(0cm,5.0cm) dashed evenly scaled 2;
+draw (37a,0cm)--(37a,8.0cm) dashed evenly scaled 2;
+draw (74a,0cm)--(74a,9.0cm) dashed evenly scaled 2;
+draw (245a,0cm)--(245a,9.0cm) dashed evenly scaled 2;
+draw (280a,0cm)--(280a,8.0cm) dashed evenly scaled 2;
+draw (315a,0cm)--(315a,5.0cm) dashed evenly scaled 2;
+pickup pencircle scaled 1pt;
+label.top("design path",(157a,2.98cm));
+draw (-20a,2cm-20a*tand(15))--(0cm,2cm){dir 15}..(74a,2.8cm)..(245a,2.8cm)..{dir -15}(315a,2.0cm)--(335a,2.0cm-20a*tand(15));
+pickup pencircle scaled 1.5pt;
+drawarrow (50a,5cm)--(50a,9.2cm);
+drawarrow (0cm,5cm)--(325a,5cm);
+pickup pencircle scaled 1pt;
+draw (0a,0b+5cm)--(1a,0.00000252536b+5cm)--(2a,0.0000104974b+5cm)--(3a,0.0000379019b+5cm)--(4a,0.000120199b+5cm)--(5a,0.000338348b+5cm)--(6a,0.000853753b+5cm)--(7a,0.00194895b+5cm)--(8a,0.00405943b+5cm)--(9a,0.00777543b+5cm)--(10a,0.0137946b+5cm)--(11a,0.02282b+5cm)--(12a,0.0354227b+5cm)--(13a,0.0519078b+5cm)--(14a,0.0722319b+5cm)--(15a,0.0960039b+5cm)--(16a,0.122566b+5cm)--(17a,0.151126b+5cm)--(18a,0.180892b+5cm)--(19a,0.211186b+5cm)--(20a,0.241498b+5cm)--(21a,0.271511b+5cm)--(22a,0.301084b+5cm)--(23a,0.330216b+5cm)--(24a,0.359011b+5cm)--(25a,0.387638b+5cm)--(26a,0.416293b+5cm)--(27a,0.445173b+5cm)--(28a,0.47445b+5cm)--(29a,0.50425b+5cm)--(30a,0.53464b+5cm)--(31a,0.565613b+5cm)--(32a,0.597087b+5cm)--(33a,0.628896b+5cm)--(34a,0.660804b+5cm)--(35a,0.692509b+5cm)--(36a,0.723666b+5cm)--(37a,0.753909b+5cm)--(38a,0.782878b+5cm)--(39a,0.810241b+5cm)--(40a,0.835722b+5cm)--(41a,0.859113b+5cm)--(42a,0.880286b+5cm)--(43a,0.899192b+5cm)--(44a,0.915854b+5cm)--(45a,0.930359b+5cm)--(46a,0.94284b+5cm)--(47a,0.953466b+5cm)--(48a,0.962421b+5cm)--(49a,0.969897b+5cm)--(50a,0.976084b+5cm)--(51a,0.981162b+5cm)--(52a,0.985294b+5cm)--(53a,0.988631b+5cm)--(54a,0.991302b+5cm)--(55a,0.993422b+5cm)--(56a,0.995088b+5cm)--(57a,0.996385b+5cm)--(58a,0.997381b+5cm)--(59a,0.998137b+5cm)--(60a,0.998701b+5cm)--(61a,0.999115b+5cm)--(62a,0.999412b+5cm)--(63a,0.999621b+5cm)--(64a,0.999763b+5cm)--(65a,0.999857b+5cm)--(66a,0.999917b+5cm)--(67a,0.999954b+5cm)--(68a,0.999976b+5cm)--(69a,0.999988b+5cm)--(70a,0.999994b+5cm)--(71a,0.999998b+5cm)--(72a,0.999999b+5cm)--(73a,1b+5cm)--(74a,1b+5cm)--(75a,1b+5cm)--(76a,1b+5cm)--(77a,1b+5cm)--(78a,1b+5cm)--(79a,1b+5cm)--(80a,1b+5cm)--(81a,1b+5cm)--(82a,1b+5cm)--(83a,1b+5cm)--(84a,1b+5cm)--(85a,1b+5cm)--(86a,1b+5cm)--(87a,1b+5cm)--(88a,1b+5cm)--(89a,1b+5cm)--(90a,1b+5cm)--(91a,1b+5cm)--(92a,1b+5cm)--(93a,1b+5cm)--(94a,1b+5cm)--(95a,1b+5cm)--(96a,1b+5cm)--(97a,1b+5cm)--(98a,1b+5cm)--(99a,1b+5cm)--(100a,1b+5cm)--(101a,1b+5cm)--(102a,1b+5cm)--(103a,1b+5cm)--(104a,1b+5cm)--(105a,1b+5cm)--(106a,1b+5cm)--(107a,1b+5cm)--(108a,1b+5cm)--(109a,1b+5cm)--(110a,1b+5cm)--(111a,1b+5cm)--(112a,1b+5cm)--(113a,1b+5cm)--(114a,1b+5cm)--(115a,1b+5cm)--(116a,1b+5cm)--(117a,1b+5cm)--(118a,1b+5cm)--(119a,1b+5cm)--(120a,1b+5cm)--(121a,1b+5cm)--(122a,1b+5cm)--(123a,1b+5cm)--(124a,1b+5cm)--(125a,1b+5cm)--(126a,1b+5cm)--(127a,1b+5cm)--(128a,1b+5cm)--(129a,1b+5cm)--(130a,1b+5cm)--(131a,1b+5cm)--(132a,1b+5cm)--(133a,1b+5cm)--(134a,1b+5cm)--(135a,1b+5cm)--(136a,1b+5cm)--(137a,1b+5cm)--(138a,1b+5cm)--(139a,1b+5cm)--(140a,1b+5cm)--(141a,1b+5cm)--(142a,1b+5cm)--(143a,1b+5cm)--(144a,1b+5cm)--(145a,1b+5cm)--(146a,1b+5cm)--(147a,1b+5cm)--(148a,1b+5cm)--(149a,1b+5cm)--(150a,1b+5cm)--(151a,1b+5cm)--(152a,1b+5cm)--(153a,1b+5cm)--(154a,1b+5cm)--(155a,1b+5cm)--(156a,1b+5cm)--(157a,1b+5cm)--(158a,1b+5cm)--(159a,1b+5cm)--(160a,1b+5cm)--(161a,1b+5cm)--(162a,1b+5cm)--(163a,1b+5cm)--(164a,1b+5cm)--(165a,1b+5cm)--(166a,1b+5cm)--(167a,1b+5cm)--(168a,1b+5cm)--(169a,1b+5cm)--(170a,1b+5cm)--(171a,1b+5cm)--(172a,1b+5cm)--(173a,1b+5cm)--(174a,1b+5cm)--(175a,1b+5cm)--(176a,1b+5cm)--(177a,1b+5cm)--(178a,1b+5cm)--(179a,1b+5cm)--(180a,1b+5cm)--(181a,1b+5cm)--(182a,1b+5cm)--(183a,1b+5cm)--(184a,1b+5cm)--(185a,1b+5cm)--(186a,1b+5cm)--(187a,1b+5cm)--(188a,1b+5cm)--(189a,1b+5cm)--(190a,1b+5cm)--(191a,1b+5cm)--(192a,1b+5cm)--(193a,1b+5cm)--(194a,1b+5cm)--(195a,1b+5cm)--(196a,1b+5cm)--(197a,1b+5cm)--(198a,1b+5cm)--(199a,1b+5cm)--(200a,1b+5cm)--(201a,1b+5cm)--(202a,1b+5cm)--(203a,1b+5cm)--(204a,1b+5cm)--(205a,1b+5cm)--(206a,1b+5cm)--(207a,1b+5cm)--(208a,1b+5cm)--(209a,1b+5cm)--(210a,1b+5cm)--(211a,1b+5cm)--(212a,1b+5cm)--(213a,1b+5cm)--(214a,1b+5cm)--(215a,1b+5cm)--(216a,1b+5cm)--(217a,1b+5cm)--(218a,1b+5cm)--(219a,1b+5cm)--(220a,1b+5cm)--(221a,1b+5cm)--(222a,1b+5cm)--(223a,1b+5cm)--(224a,1b+5cm)--(225a,1b+5cm)--(226a,1b+5cm)--(227a,1b+5cm)--(228a,1b+5cm)--(229a,1b+5cm)--(230a,1b+5cm)--(231a,1b+5cm)--(232a,1b+5cm)--(233a,1b+5cm)--(234a,1b+5cm)--(235a,1b+5cm)--(236a,1b+5cm)--(237a,1b+5cm)--(238a,1b+5cm)--(239a,1b+5cm)--(240a,1b+5cm)--(241a,1b+5cm)--(242a,1b+5cm)--(243a,1b+5cm)--(244a,1b+5cm)--(245a,0.999999b+5cm)--(246a,0.999997b+5cm)--(247a,0.999994b+5cm)--(248a,0.999986b+5cm)--(249a,0.999973b+5cm)--(250a,0.999949b+5cm)--(251a,0.999908b+5cm)--(252a,0.999843b+5cm)--(253a,0.999741b+5cm)--(254a,0.999588b+5cm)--(255a,0.999366b+5cm)--(256a,0.999049b+5cm)--(257a,0.998611b+5cm)--(258a,0.998016b+5cm)--(259a,0.99722b+5cm)--(260a,0.996174b+5cm)--(261a,0.994816b+5cm)--(262a,0.993074b+5cm)--(263a,0.990862b+5cm)--(264a,0.98808b+5cm)--(265a,0.984609b+5cm)--(266a,0.980317b+5cm)--(267a,0.975052b+5cm)--(268a,0.968645b+5cm)--(269a,0.960915b+5cm)--(270a,0.951672b+5cm)--(271a,0.940724b+5cm)--(272a,0.927888b+5cm)--(273a,0.913001b+5cm)--(274a,0.895938b+5cm)--(275a,0.876621b+5cm)--(276a,0.855041b+5cm)--(277a,0.831259b+5cm)--(278a,0.80542b+5cm)--(279a,0.777744b+5cm)--(280a,0.748519b+5cm)--(281a,0.718083b+5cm)--(282a,0.6868b+5cm)--(283a,0.655034b+5cm)--(284a,0.623123b+5cm)--(285a,0.591359b+5cm)--(286a,0.559966b+5cm)--(287a,0.529095b+5cm)--(288a,0.498813b+5cm)--(289a,0.469115b+5cm)--(290a,0.439921b+5cm)--(291a,0.411095b+5cm)--(292a,0.38246b+5cm)--(293a,0.353817b+5cm)--(294a,0.324972b+5cm)--(295a,0.295766b+5cm)--(296a,0.26611b+5cm)--(297a,0.236027b+5cm)--(298a,0.205689b+5cm)--(299a,0.175448b+5cm)--(300a,0.145845b+5cm)--(301a,0.117587b+5cm)--(302a,0.0914726b+5cm)--(303a,0.0682821b+5cm)--(304a,0.0486333b+5cm)--(305a,0.0328585b+5cm)--(306a,0.0209351b+5cm)--(307a,0.0125019b+5cm)--(308a,0.00695328b+5cm)--(309a,0.00357751b+5cm)--(310a,0.00169033b+5cm)--(311a,0.000727633b+5cm)--(312a,0.000282913b+5cm)--(313a,0.0000984338b+5cm)--(314a,0.0000303426b+5cm)--(315a,5cm);
+pickup pencircle scaled 3pt;
+drawdot(37a,8cm);
+drawdot(280a,8cm);
+label.top(btex zbegin\_entry etex rotated 90 scaled 0.9, (0,5.1cm));
+label.top(btex origin of Enge function etex rotated 90 scaled 0.9,(37a,8.1cm));
+label.top(btex ELEMEDGE etex rotated 90 scaled 0.9, (50a,9.3cm));
+label.top(btex zend\_entry etex rotated 90 scaled 0.9, (74a,9.1cm));
+label.top(btex zbegin\_exit etex rotated 90 scaled 0.9, (245a,9.1cm));
+label.top(btex origin of Enge function etex rotated 90 scaled 0.9, (280a,8.1cm));
+label.top(btex zend\_exit etex rotated 90 scaled 0.9, (315a,5.1cm));
+label.urt("RBend", (7a,0.7));
+
+endfig
+end
\ No newline at end of file
diff --git a/doc/user_guide/figures/Gfact.pdf b/doc/user_guide/figures/Gfact.pdf
new file mode 100755
index 0000000000000000000000000000000000000000..d4d99bc1fb95f7dbe9bd74b7c0251ce60d337a95
Binary files /dev/null and b/doc/user_guide/figures/Gfact.pdf differ
diff --git a/doc/user_guide/figures/Gun/GunCompEn.pdf b/doc/user_guide/figures/Gun/GunCompEn.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..0202659fe1bac5447b7c54e2a6426d7b53406255
--- /dev/null
+++ b/doc/user_guide/figures/Gun/GunCompEn.pdf
@@ -0,0 +1,632 @@
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diff --git a/doc/user_guide/figures/cyclotron/nurnuz_Ring.pdf b/doc/user_guide/figures/cyclotron/nurnuz_Ring.pdf
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diff --git a/doc/user_guide/figures/drift2c1.pdf b/doc/user_guide/figures/drift2c1.pdf
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diff --git a/doc/user_guide/figures/opalt/KS1.png b/doc/user_guide/figures/opalt/KS1.png
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diff --git a/doc/user_guide/figures/opalt/KS2.png b/doc/user_guide/figures/opalt/KS2.png
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diff --git a/doc/user_guide/figures/opalt/dipole.jpg b/doc/user_guide/figures/opalt/dipole.jpg
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diff --git a/doc/user_guide/figures/opalt/elementPositions.pdf b/doc/user_guide/figures/opalt/elementPositions.pdf
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index 0000000000000000000000000000000000000000..d15dbd072891e35e0ca00018ea65ccbb56fbbc91
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diff --git a/doc/user_guide/figures/opalt/elementPositions2.pdf b/doc/user_guide/figures/opalt/elementPositions2.pdf
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index 0000000000000000000000000000000000000000..3d46203aaece5e8232ccca209c4b2d3e0f5cd508
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diff --git a/doc/user_guide/figures/opalt/flowdiagram.tex b/doc/user_guide/figures/opalt/flowdiagram.tex
new file mode 100644
index 0000000000000000000000000000000000000000..f72db932ff0a5a346f1c1795177fbdfb2228324a
--- /dev/null
+++ b/doc/user_guide/figures/opalt/flowdiagram.tex
@@ -0,0 +1,43 @@
+\begin{figure}[!htb]
+ \centering
+ \begin{tikzpicture}[scale=0.7,transform shape]
+
+ % Draw diagram elements
+ \path \diagramstep {1}{push particles};
+ \path (p1.south)+(0.0,-1.0) \diagramstep{2}{convert position to local coordinate system of element ($K_s \rightarrow K \rightarrow K'_n$)};
+ \path (p2.south)+(0.0,-1.0) \diagramstep{3}{compute external field};
+ \path (p3.south)+(0.0,-1.0) \diagramstep{4}{convert position/external field to beam coordinate system $K_s$ ($K'_n \rightarrow K \rightarrow K_s$)};
+ \path (p4.south)+(0.0,-1.0) \diagramstep{5}{convert position/momentum to beam coordinate system $K_{sc}$ ($K_s \rightarrow K_{sc}$)};
+ \path (p5.south)+(0.0,-1.0) \diagramstep{6}{compute space charge};
+ \path (p6.south)+(0.0,-1.0) \diagramstep{7}{convert position/momentum/Coulomb field to beam coordinate system $K_s$ ($K_{sc} \rightarrow K_s$)};
+ \path (p7.south)+(0.0,-1.0) \diagramstep{8}{kick particles};
+ \path (p8.south)+(0.0,-1.0) \diagramstep{9}{push particles};
+ \path (p9.south)+(0.0,-1.0) \diagramstep{11}{compute statistics};
+
+ % Draw arrows between elements
+ \path [line] (p1.south) -- node [above] {} (p2);
+ \path [line] (p2.south) -- node [above] {} (p3);
+ \path [line] (p3.south) -- node [above] {} (p4);
+ \path [line] (p4.south) -- node [above] {} (p5);
+ \path [line] (p5.south) -- node [above] {} (p6);
+ \path [line] (p6.south) -- node [above] {} (p7);
+ \path [line] (p7.south) -- node [above] {} (p8);
+ \path [line] (p8.south) -- node [above] {} (p9);
+ \path [line] (p9.south) -- node [above] {} (p11);
+ \path [line] (p11.south) -- +(0.0, -0.5) -- +(-5.0,-0.5) |- (0.0, 1.0) -- (p1);
+
+ \node[anchor=center,text width=4cm] at ($(p4.east)+(3.0,1.5)$) (nodeA) {Loop over all elements that influence the particles at the current position along reference trajectory};
+
+ \path [line] ($(p4.south)+(0.25,-0.25)$) -- +(4.0, -0.0) |- ($(p2.north)+(0.25,0.25)$);
+
+% \path [line,
+% postaction={decorate},
+% decoration={text along path,
+% text= for all elements,
+% text align={left indent={0.7\dimexpr\pgfdecoratedpathlength\relax}}
+% }
+% ] (p4.west) -- +(-3.0, -0.0) -- +(-3.0, 3.0) -- (p2.west);
+\end{tikzpicture}
+ \caption{Schematic workflow of \opalt's execute method.}
+ \label{fig:OPALTSchemeSimple}
+\end{figure}
\ No newline at end of file
diff --git a/doc/user_guide/figures/opalt/overlappingDipole.jpg b/doc/user_guide/figures/opalt/overlappingDipole.jpg
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diff --git a/doc/user_guide/figures/partmatter/10steps.pdf b/doc/user_guide/figures/partmatter/10steps.pdf
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diff --git a/doc/user_guide/figures/psi_logo_wide.pdf b/doc/user_guide/figures/psi_logo_wide.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..e713fcb504a3da8579f4fba9201f15abf8fb9502
Binary files /dev/null and b/doc/user_guide/figures/psi_logo_wide.pdf differ
diff --git a/doc/user_guide/figures/rbend_angles.sk b/doc/user_guide/figures/rbend_angles.sk
new file mode 100644
index 0000000000000000000000000000000000000000..93a491dd8d9e809cf8a7eaac109a76e8c1cb539b
--- /dev/null
+++ b/doc/user_guide/figures/rbend_angles.sk
@@ -0,0 +1,115 @@
+def p1 (0,0,0)
+def p2 (-4,0,0)
+def p3 (-4,4,0)
+def p4 (0,4,0)
+def p5 (0,0,4)
+def p6 (-4,0,4)
+def p7 (-4,4,4)
+def p8 (0,4,4)
+
+def dL1 1 def dL2 1
+def straight_path1 dL1.[-2,0,-3]
+def straight_path2 dL2.[-2,0,3]
+
+def p9 (-2,2,0)
+def p10 (p9)+[straight_path1]
+def p11 (-2,2,4)
+def p12 (p11)+[straight_path2]
+def p13 (-2,4,0)-[0.005,0,0]
+def p14 (-2,0,0)-[0.005,0,0]
+def p15 (p14)+[straight_path1]-[0.075,0,0]
+def p16 (p13)+[straight_path1]-[0.075,0,0]
+def p17 (p9)+[straight_path1]-[0.075,0,0]
+def p18 (p9)+0.75.[straight_path1]-[0.8*0.075,0,0]
+
+def straight_path3 (p9)-(p18)
+def p19 (p9) - 0.25.[straight_path3]
+
+def p20 (p18)+[0.,0.2,-0.2]
+
+def tilt rotate(15, (p9), [1,0,0])
+def translation translate([-2,0,2])
+def ds 1
+
+def N 10
+def rbend {
+ put { [[translation]] } {
+ polygon[cull=false, fill=green!50, fill opacity=0.5](p1)(p2)(p3)(p4)
+ polygon[cull=false, fill=blue!20!red, fill opacity=0.5](p2)(p6)(p7)(p3)
+ polygon[cull=false, fill opacity=0.](p6)(p5)(p8)(p7)
+ polygon[fill=blue!20!red, fill opacity=0.3](p5)(p1)(p4)(p8)
+ polygon[cull=false, fill=blue!20, fill opacity=0.5](p4)(p3)(p7)(p8)
+ polygon[cull=false](p1)(p5)(p6)(p2)
+ polygon[cull=false, fill=yellow!50, fill opacity=0.5, color=yellow!50, line width=2pt](p13)(p14)(p15)(p16)
+ put { [[tilt]] }
+ {
+ %% design path %%
+ line[arrows=-<, line width=2pt] (p9)(p10)
+ line[arrows=->, line width=2pt] (p11)(p12)
+ sweep[line width=2pt]
+ {N, rotate(-2 * atan2(2, 3)/N, (-5, 0, 2), [0, 1, 0]) }
+ (p9)
+
+ }
+ }
+}
+
+def alpha {
+ %% normal %%
+ put { [[translation]] } {
+ line[arrows=->,color=blue,line width=1pt] (-2,2,-2)(-2,2,-0.5)
+ line[color=blue,line width=1pt](-2,2,-0.5)(p9)
+ special |\path #1 node[left] {$\vec{n}$};
+ | (-2,2,-1)
+
+ %% alpha %%
+ sweep[line width=1pt]
+ {N, rotate(atan2(2,3)/N, (p9), [0, 1, 0]) } (-2,2,-1.5)
+ special |\path #1 node[right] {$\alpha$};|(-2.4,2,-2.15)
+ }
+}
+
+def beta {
+ put { [[translation]] } {
+ line[color=blue, style=densely dotted, line width=1pt] (p9)(p19)
+ line[arrows=<-,color=blue, style=densely dotted, line width=1pt] (p19)(p17)
+ special |\path #1 node[below] {$\vec{n}_{\text{proj}}$};
+ | (p18)
+
+ sweep [line width=1pt]{N, rotate(-12/N, (p9), [-3,0,2])} (p18)
+ %% normal %%
+ special |\path #1 node[right] {$\beta$};|(p20)
+ }
+}
+
+def uaxis {
+ line [arrows=<-] (ds,-ds,0)(0,-ds,0)
+ special |\path #1 node[left] {$u$};
+ | (ds,-ds,0)
+}
+
+def vaxis {
+ line [arrows=->] (0,-ds,0)(0,0,0)
+ special |\path #1 node[left] {$v$};
+ | (0,0,0)
+}
+
+def saxis {
+ line [arrows=->] (0,-ds,0)(0,-ds,ds)
+ special |\path #1 node[right] {$s$};
+ | (0,-ds,ds)
+}
+
+put { rotate(160, [0, 1, 0]) then rotate(20, [1, 0, 0]) then translate([-2, 9, 0])}
+ {{rbend}{saxis}{uaxis}{vaxis}{alpha}{beta}}
+
+put { rotate(180, [0, 1, 0]) then rotate(90, [1, 0, 0]) then translate([0, 0, 0]) then scale(0.8)}
+ {{rbend}{saxis}{uaxis}{alpha}}
+
+put { rotate(-120, [0, 1, 0]) then rotate(5, [1,0,0]) then translate([5, -8, 0]) then scale(0.8)}
+ {{rbend}{beta}
+ put { translate([-5,0,-3]) } {
+ {saxis}{vaxis}{uaxis}
+ }}
+
+global {language tikz}
diff --git a/doc/user_guide/figures/rbend_angles.tikz b/doc/user_guide/figures/rbend_angles.tikz
new file mode 100644
index 0000000000000000000000000000000000000000..74ced580ff0ca091943d80de5edc144a23602dde
--- /dev/null
+++ b/doc/user_guide/figures/rbend_angles.tikz
@@ -0,0 +1,85 @@
+% Sketch output, version 0.2 (build 161d, Sat Feb 6 10:42:28 2010)
+% Output language: PGF/TikZ,LaTeX
+\begin{tikzpicture}[line join=round]
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new file mode 100755
index 0000000000000000000000000000000000000000..52004d85d263ab4d3b8a5899580506d855a90d74
--- /dev/null
+++ b/doc/user_guide/figures/speedup/getData.sh
@@ -0,0 +1,9 @@
+scp -r gele.cscs.ch:/scratch/adelmann/RegressionTests/DriftTest/OPAL/figs/*.* Drift
+cd Drift
+for f in `ls -1 *.eps`
+do
+ echo convert to pdf $f
+ epstopdf $f
+ rm $f
+done
+cd ..
diff --git a/doc/user_guide/figures/traveling-wave-structure/FINSB-RAC-field.png b/doc/user_guide/figures/traveling-wave-structure/FINSB-RAC-field.png
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diff --git a/doc/user_guide/footer.tex b/doc/user_guide/footer.tex
new file mode 100755
index 0000000000000000000000000000000000000000..7823a9b231e3fc28d879f5998d89be2871733ed9
--- /dev/null
+++ b/doc/user_guide/footer.tex
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+%----------- Footer control ------------------
+\ifthenelse{\boolean{FullOPALManual}}
+{
+ %do nothing
+}
+% else (for individual document creation)
+{
+\appendix
+\printbibliography
+\end{document}
+}
+%---------------------------------------------
\ No newline at end of file
diff --git a/doc/user_guide/format.tex b/doc/user_guide/format.tex
new file mode 100755
index 0000000000000000000000000000000000000000..1c165bbdce23ceeaa925bd87b641cc4ce978120f
--- /dev/null
+++ b/doc/user_guide/format.tex
@@ -0,0 +1,1117 @@
+\input{header}
+
+\chapter{Command Format}
+\label{chp:format}
+\index{Format!Commands}
+\index{Command!Format|(}
+All flavors of \opal using the same input language the \mad language. The language dialect here is
+ajar to \madnine, for hard core \madeight users there is a conversion guide.
+
+ It is the first time that
+machines such as cyclotrons, proton and electron linacs can be described within the same language
+in the same simulation framework.
+\section{Statements and Comments}
+\label{sec:statements}
+\index{Statement}
+\index{Comment}
+Input for \opal is free format, and the line length is not limited.
+During reading, input lines are normally printed on the echo file,
+but this feature can be turned off for long input files.
+The input is broken up into tokens (words, numbers, delimiters etc.),
+which form a sequence of commands, also known as statements.
+Each statement must be terminated by a semicolon (\texttt{;}),
+and long statements can be continued on any number of input lines.
+White space, like blank lines, spaces, tabs,
+and newlines are ignored between tokens.
+Comments can be introduced with two slashes (\texttt{//})
+and any characters following the slashes on the same line are ignored.
+
+The C~convention for comments (\texttt{/* ... */}) is also accepted.
+The comment delimiters \texttt{/*} and \texttt{*/} can be nested;
+this allows to ``comment out'' sections of input.
+
+In the following descriptions,
+words in \texttt{lower case} stand for syntactic units
+which are to be replaced by actual text.
+\texttt{UPPER CASE} is used for keywords or names.
+These must be entered as shown.
+Ellipses (\texttt{...}) are used to indicate repetition.
+
+The general format for a command is
+\begin{example}
+keyword,attribute,...,attribute;
+label:keyword,attribute,...,attribute;
+\end{example}
+It has three parts:
+\begin{enumerate}
+\item The \texttt{label} is required for a definition statement.
+ \index{Command!Label}
+ \index{Label!Command}
+ Its must be an identifier \seesec{label} and gives a name to the
+ stored command.
+\item The \texttt{keyword} identifies the action desired.
+ \index{Command!Keyword}
+ \index{Keyword!Command}
+ It must be an identifier \seesec{label}.
+\item Each \texttt{attribute} is entered in one of the forms
+\begin{example}
+attribute-name
+attribute-name=attribute-value
+attribute-name:=attribute-value
+\end{example}
+and serves to define data for the command, where:
+\begin{itemize}
+\item The \texttt{attribute-name} selects the attribute,
+ \index{Attribute!Name}
+ \index{Name!Attribute}
+ it must be an identifier \seesec{label}.
+\item The \texttt{attribute-value} gives it a value \seesec{attribute}.
+ \index{Attribute!Value}
+ \index{Value!Attribute}
+ When the attribute value is a constant or an expression preceded by
+ the delimiter \texttt{=} it is evaluated immediately and the result
+ is assigned to the attribute as a constant.
+ When the attribute value is an expression preceded by the delimiter
+ \texttt{:=} the expression is retained and re-evaluated whenever one
+ of its operands changes.
+\end{itemize}
+Each attribute has a fixed attribute type \seesec{attribute}.\\
+The \texttt{attribute-value} can only be left out for logical
+attributes, this implies a \texttt{true} value.
+\end{enumerate}
+
+When a command has a \texttt{label},
+\opal keeps the command in memory.
+This allows repeated execution of the same command
+by entering its label only:
+\begin{example}
+label;
+\end{example}
+or to re-execute the command with modified attributes:
+\begin{example}
+label,attribute,...,attribute;
+\end{example}
+If the label of such a command appears together with new attributes,
+\opal makes a copy of the stored command, replaces the attributes entered,
+and then executes the copy:
+\begin{example}
+QF:QUADRUPOLE,L=1,K1=0.01; // first definition of QF
+QF,L=2; // redefinition of QF
+
+MATCH;
+...
+LMD:LMDIF,CALLS=10; // first execution of LMD
+LMD; // re-execute LMD with
+ // the same attributes
+LMD,CALLS=100,TOLERANCE=1E-5; // re-execute LMD with
+ // new attributes
+ENDMATCH;
+\end{example}
+
+\section{Identifiers or Labels}
+\label{sec:label}
+\index{Label}
+\index{Name}
+\index{Identifier}
+\index{Keyword}
+An identifier refers to a keyword, an element, a beam line, a variable,
+an array, etc.
+
+A label begins with a letter, followed by an arbitrary number of letters,
+digits, periods (\texttt{.}), underscores (\texttt{\_}).
+Other special characters can be used in a label,
+but the label must then be enclosed in single or double quotes.
+It makes no difference which type of quotes is used,
+as long as the same are used at either end.
+The preferred form is double quotes.
+The use of non-numeric characters is however strongly discouraged,
+since it makes it difficult to subsequently process a \opal output with
+another program.
+
+When a name is not quoted, it is converted to upper case;
+the resulting name must be unique.
+An identifier can also be generated from a
+string expression \seesec{astring}.
+
+\section{Command Attribute Types}
+\label{sec:attribute}
+\index{Attribute!Value}
+\index{Value!Attribute}
+An object attribute is referred to by the syntax
+\begin{example}
+object-name->attribute-name
+\end{example}
+If the attribute is an array \seesec{anarray},
+one of its components is found by the syntax
+\begin{example}
+object-name->attribute-name[index]
+\end{example}
+The following types of command attributes are available in \opal:
+\begin{itemize}
+\item String \seesec{astring},
+\item Logical \seesec{alogical},
+\item Real expression \seesec{areal},
+\item Deferred expression \seesec{adefer},
+\item Place \seesec{aplace},
+\item Range \seesec{arange},
+\item Constraint \seesec{aconstraint},
+\item Variable Reference \seesec{areference}
+\item Regular expression \seesec{wildcard}\ifthenelse{\boolean{ShowMap}}{,
+\item Token list \seesec{toklist}}{}.
+\item Array \seesec{anarray} of
+ \begin{itemize}
+ \item Logical \seesec{logarray},
+ \item Real \seesec{realarray},
+ \item String \seesec{strarray},
+ \item Token lists \seesec{tokarray},
+ \end{itemize}
+\end{itemize}
+See also:
+\begin{itemize}
+\item Operators \seetab{operator},
+\item Functions \seetab{realfun},
+\item Array functions \seetab{arrayfun},
+\item Real functions of arrays \seetab{compfun},
+\item Operand \seesec{operand},
+\item Random generators \seesec{adefer}.
+\end{itemize}
+
+\section{String Attributes}
+\label{sec:astring}
+\index{String}
+A string attribute makes alphanumeric information available,
+e.g. a title, file name, element class name, or an option.
+It can contain any characters, enclosed in single (\texttt{'})
+or double (\texttt{"}) quotes.
+However, if it contains a quote, this character must be doubled.
+Strings can be concatenated using the \texttt{\&} operator \seetab{stroperator}.
+An operand in a string can also use the
+function \keyword{STRING} \seetab{stringfun}.
+String values can occur in string arrays \seesec{anarray}.
+
+\begin{table}[!htb] \footnotesize
+ \begin{center}
+ \caption{String Operator in \opal}
+ \label{tab:stroperator}
+ \begin{tabular}{|l|p{0.5\textwidth}|l|l|}
+ \hline
+ \tabhead{Operator & Meaning & result type & operand types}
+ \hline
+ \texttt{X \& Y} & concatenate the strings \texttt{X} and \texttt{Y}.
+ String concatenations are always evaluated immediately when read. &
+ string &string,string \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\begin{table}[!htb] \footnotesize
+ \begin{center}
+ \caption{String Function in \opal}
+ \label{tab:stringfun}
+ \begin{tabular}{|l|p{0.5\textwidth}|l|l|}
+ \hline
+ \tabhead{Function & Meaning & result type & argument type}
+ \hline
+ \keyword{STRING(X)} &
+ return string representation of the value
+ of the numeric expression \texttt{X} &
+ string &real \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+\par
+\noindent Examples:
+\begin{example}
+TITLE,"This is a title for the program run ""test""";
+CALL,FILE="save";
+
+X=1;
+TWISS,LINE=LEP&STRING(X+1);
+\end{example}
+The second example converts the value of the expression ``X+1'' to a
+string and appends it to ``LEP'', giving the string ``LEP2''.
+
+\section{Logical Expressions}
+\label{sec:alogical}
+\index{Logical}
+Many commands in \opal require the setting of logical values (flags)
+to represent the on/off state of an option.
+A logical value is represented by one of the values \keyword{TRUE}
+or \keyword{FALSE}, or by a logical expression.
+A logical expression can occur in logical arrays \seesec{logarray}.
+\par
+A logical expression has the same format and operator precedence as a
+logical expression in C.
+It is built from logical operators \seetab{logoperator} and logical
+operands:
+\begin{example}
+relation ::= "TRUE" |
+ "FALSE" |
+ real-expr rel-operator real-expr
+
+rel-operator ::= "==" | "!=" | "<" | ">" | ">=" | "<="
+
+and-expr ::= relation | and-expr "&&" relation
+
+logical-expr ::= and-expr | logical-expr "||" and-expr
+\end{example}
+
+\begin{table}[!htb] \footnotesize
+ \begin{center}
+ \caption{Logical Operators in \opal}
+ \label{tab:logoperator}
+ \begin{tabular}{|l|p{0.5\textwidth}|l|l|}
+ \hline
+ \tabhead{Operator & Meaning & result type & operand type}
+ \hline
+ \texttt{X $<$ Y} & true, if \texttt{X} is less than \texttt{Y} &
+ logical &real,real \\
+ \texttt{X $<=$ Y} & true, if \texttt{X} is not greater than \texttt{Y} &
+ logical &real,real \\
+ \texttt{X $>$ Y} & true, if \texttt{X} is greater than \texttt{Y} &
+ logical &real,real \\
+ \texttt{X $>=$ Y} & true, if \texttt{X} is not less than \texttt{Y} &
+ logical &real,real \\
+ \texttt{X $==$ Y} & true, if \texttt{X} is equal to \texttt{Y} &
+ logical &real,real \\
+ \texttt{X $!=$ Y} & true, if \texttt{X} is not equal to \texttt{Y} &
+ logical &real,real \\
+ \texttt{X \&\& Y} & true, if both \texttt{X} and \texttt{Y} are true &
+ logical &logical,logical \\
+ \texttt{X || Y} &
+ true, if at least one of \texttt{X} and \texttt{Y} is true &
+ logical &logical,logical \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+\par
+\noindent Example:
+\begin{example}
+OPTION,ECHO=TRUE; // output echo is desired
+\end{example}
+When a logical attribute is not entered,
+its default value is always \keyword{FALSE}.
+When only its name is entered, the value is set to \keyword{TRUE}:
+\begin{example}
+OPTION,ECHO; // same as above
+\end{example}
+\noindent Example of a logical expression:
+\begin{example}
+X>10 && Y<20 || Z==15
+\end{example}
+
+\section{Real Expressions}
+\label{sec:areal}
+\index{Real}
+To facilitate the definition of interdependent quantities,
+any real value can be entered as an arithmetic expression.
+When a value used in an expression is redefined by the user
+or changed in a matching process,
+the expression is re-evaluated.
+Expression definitions may be entered in any order.
+\opal evaluates them in the correct order before it performs
+any computation.
+At evaluation time all operands used must have values assigned.
+A real expression can occur in real arrays \seesec{realarray}.
+
+A real expression is built from operators \seetab{operator} and
+operands \seesec{operand}:
+
+\begin{footnotesize}
+\begin{example}
+real-ref ::= real-variable |
+ real-array "[" index "]" |
+ object "->" real-attribute |
+ object "->" real-array-attribute "[" index "]" |
+
+table-ref ::= table "@" place "->" column-name
+
+primary ::= literal-constant |
+ symbolic-constant |
+ "#" |
+ real-ref |
+ table-ref |
+ function-name "(" arguments ")" |
+ (real-expression)
+
+factor ::= primary |
+ factor "^" primary
+
+term ::= factor |
+ term "*" factor |
+ term "/" factor
+
+real-expr ::= term |
+ "+" term |
+ "-" term |
+ real-expr "+" term |
+ real-expr "-" term |
+\end{example}
+\end{footnotesize}
+
+It may contain functions \seetab{realfun},
+Parentheses indicate operator precedence if required.
+Constant sub-expressions are evaluated immediately,
+and the result is stored as a constant.
+
+\section{Operators}
+\index{Expression!Operator}
+\index{Operator}
+An expression can be formed using operators \seetab{operator} and
+functions \seetab{realfun}
+acting on operands \seesec{operand}.
+
+\begin{table}[!htb] \footnotesize
+ \begin{center}
+ \caption{Real Operators in \opal}
+ \label{tab:operator}
+ \begin{tabular}{|l|p{0.5\textwidth}|l|l|}
+ \hline
+ \tabhead{Operator & Meaning & result type & operand type(s)}
+ \hline
+ \multicolumn{4}{|c|}{\textbf{Real operators with one operand}}\\
+ \hline
+ \texttt{+ X} & unary plus, returns \texttt{X} &
+ real &real \\
+ \texttt{- X} & unary minus, returns the negative of \texttt{X} &
+ real &real \\
+ \hline
+ \multicolumn{4}{|c|}{\textbf{Real operators with two operands}} \\
+ \hline
+ \texttt{X + Y} & add \texttt{X} to \texttt{Y} &
+ real & real,real \\
+ \texttt{X - Y} & subtract \texttt{Y} from \texttt{X} &
+ real & real,real \\
+ \texttt{X * Y} & multiply \texttt{X} by \texttt{Y} &
+ real &real,real \\
+ \texttt{X / Y} & divide \texttt{X} by \texttt{Y} &
+ real &real,real \\
+ \texttt{X \^\ Y} &
+ power, return \texttt{X} raised to the power \texttt{Y}
+ ($\mathtt{Y} > 0$) & real &real,real \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\begin{table}[!htb] \footnotesize
+ \begin{center}
+ \caption{Real Functions in \opal}
+ \label{tab:realfun}
+ \begin{tabular}{|l|p{0.6\textwidth}|l|p{1.3cm}|}
+ \hline
+ \tabhead{Function & Meaning & result type & argument type(s)}
+ \hline
+ \multicolumn{4}{|c|}{\textbf{Real functions with no arguments}} \\
+ \hline%
+ \keyword{RANF()} & random number, uniform distribution in [0,1) &
+ real &- \\
+ \keyword{GAUSS()} & random number, Gaussian distribution with $\sigma=1$ &
+ real &- \\
+ \keyword{GETEKIN()} & returns the kinetic energy of the bunch (MeV) &
+ real &- \\
+ \keyword{USER0()} & random number, user-defined distribution &
+ real &-
+ \ifthenelse{\boolean{ShowMap}}{\\
+ \keyword{SI()} &
+ arc length from start of ring to the entry of the current element.
+ This function is only available in the
+ \keyword{EALIGN} command \seesec{erroralign} &
+ real &- \\
+ \keyword{SC()} &
+ arc length from start of ring to the center of the current element.
+ This function is only available in the
+ \keyword{EALIGN} command \seesec{erroralign} &
+ real &- \\
+ \keyword{SO()} &
+ arc length from start of ring to the exit of current the element.
+ This function is only available in the
+ \keyword{EALIGN} command \seesec{erroralign} &
+ real &- }{}\\
+ \hline
+ \multicolumn{4}{|c|}{\textbf{Real functions with one argument}} \\
+ \hline
+ \keyword{TRUNC(X)} &
+ truncate \texttt{X} towards zero (discard fractional part) &
+ real &real \\
+ \keyword{ROUND(X)} & round \texttt{X} to nearest integer &
+ real &real \\
+ \keyword{FLOOR(X)} & return largest integer not greater than \texttt{X} &
+ real &real \\
+ \keyword{CEIL(X)} & return smallest integer not less than \texttt{X} &
+ real &real \\
+ \keyword{SIGN(X)} & return sign of \texttt{X}
+ (+1 for \texttt{X} positive, -1 for \texttt{X} negative,
+ 0 for \texttt{X} zero) & real &real \\
+ \keyword{SQRT(X)} & return square root of \texttt{X} &
+ real &real \\
+ \keyword{LOG(X)} & return natural logarithm of \texttt{X} &
+ real &real \\
+ \keyword{EXP(X)} & return exponential to the base $e$ of \texttt{X} &
+ real &real \\
+ \keyword{SIN(X)} & return trigonometric sine of \texttt{X} &
+ real &real \\
+ \keyword{COS(X)} & return trigonometric cosine of \texttt{X} &
+ real &real \\
+ \keyword{ABS(X)} & return absolute value of \texttt{X} &
+ real &real \\
+ \keyword{TAN(X)} & return trigonometric tangent of \texttt{X} &
+ real &real \\
+ \keyword{ASIN(X)} & return inverse trigonometric sine of \texttt{X} &
+ real &real \\
+ \keyword{ACOS(X)} & return inverse trigonometric cosine of \texttt{X} &
+ real &real \\
+ \keyword{ATAN(X)} & return inverse trigonometric tangent of \texttt{X} &
+ real &real \\
+ \keyword{TGAUSS(X)} &
+ random number, Gaussian distribution with $\sigma$=1,
+ truncated at \texttt{X} &
+ real &real \\
+ \keyword{USER1(X)} &
+ random number, user-defined distribution with one parameter &
+ real &real \\
+ \keyword{EVAL(X)} &
+ evaluate the argument immediately and transmit it as a constant &
+ real &real \\
+ \hline
+ \multicolumn{4}{|c|}{\textbf{Real functions with two arguments}} \\
+ \hline
+ \keyword{ATAN2(X,Y)} &
+ return inverse trigonometric tangent of \texttt{Y/X} &
+ real &real,real \\
+ \keyword{MAX(X,Y)} & return the larger of \texttt{X, Y} &
+ real &real,real \\
+ \keyword{MIN(X,Y)} &
+ return the smaller of \texttt{X, Y} &
+ real &real,real \\
+ \keyword{MOD(X,Y)} &
+ return the largest value less than \texttt{Y}
+ which differs from \texttt{X} by a multiple of \texttt{Y} &
+ real &real,real \\
+ \keyword{USER2(X,Y)} &
+ random number, user-defined distribution with two parameters &
+ real &real,real \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\begin{table}[!htb] \footnotesize
+ \begin{center}
+ \caption{Real Functions of Arrays in \opal}
+ \label{tab:arrayfun}
+ \begin{tabular}{|l|p{0.45\textwidth}|l|l|}
+ \hline
+ \tabhead{Function & Meaning & result type & operand type}
+ \hline
+ \keyword{VMAX(X,Y)} &
+ return largest array component &real&real array\\
+ \keyword{VMIN(X,Y)} &
+ return smallest array component &real&real array\\
+ \keyword{VRMS(X,Y)} &
+ return rms value of an array &real&real array\\
+ \keyword{VABSMAX(X,Y)} &
+ return absolute largest array component &real&real array\\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+Care must be used when an ordinary expression contains a random generator.
+It may be re-evaluated at unpredictable times, generating a new value.
+However, the use of a random generator in an assignment expression is safe.
+\noindent Examples:
+\begin{example}
+D:DRIFT,L=0.01*RANF(); // a drift space with rand. length,
+ // may change during execution.
+P=EVAL(0.001*TGAUSS(X)); // Evaluated once
+ // and stored as a constant.
+\end{example}
+
+\section{Operands in Expressions}
+\label{sec:operand}
+\index{Expression!Operand}
+\index{Operand}
+A real expression may contain the operands listed in the following
+subsections.
+
+\subsection{Literal Constants}
+Numerical values are entered like FORTRAN constants.
+Real values are accepted in INTEGER or REAL format.
+The use of a decimal exponent, marked by the letter \texttt{D} or \texttt{E},
+is permitted.
+
+\noindent Examples:
+\begin{example}
+1, 10.35, 5E3, 314.1592E-2
+\end{example}
+
+\subsection{Symbolic constants}
+\index{Expression!Constant}
+\index{Constant}
+\opal recognizes a few built-in
+mathematical and physical constants \seetab{constant}.
+Their names must not be used for user-defined labels.
+Additional symbolic constants may be defined \seesec{constant} to
+simplify their repeated use in statements and expressions.
+
+\begin{table}[!htb] \footnotesize
+ \begin{center}
+ \caption{Predefined Symbolic Constants}
+ \label{tab:constant}
+ \begin{tabular}{|l|c|c|c|}
+ \hline
+ \tabhead{\opal name & Mathematical symbol & Value & Unit}
+ \hline
+ \keyword{PI} & $\pi$ & 3.1415926535898 & 1 \\
+ \keyword{TWOPI} & $2 \pi$ & 6.2831853071796 & 1 \\
+ \keyword{RADDEG} & $180/\pi$ & 57.295779513082 & rad/deg \\
+ \keyword{DEGRAD} & $\pi/180$ & .017453292519943 & deg/rad \\
+ \keyword{E} & $e$ & 2.7182818284590 & 1 \\
+ \keyword{EMASS} & $m\_e$ & .51099906e-3 & GeV \\
+ \keyword{PMASS} & $m\_p$ & .93827231 & GeV \\
+ \keyword{HMMASS} & $m\_{h^{-}}$ & .939277 & GeV \\
+ \keyword{CMASS} & $m_c$ & 12*0.931494027 & GeV \\
+ \keyword{UMASS} & $m_u$ & 238*0.931494027 & GeV \\
+ \keyword{MMASS} & $m_\mu$ & 0.1057 & GeV \\
+ \keyword{DMASS} & $m_d$ & 2*0.931494027 & GeV \\
+ \keyword{XEMASS} & $m_{xe}$ &124*0.931494027 & GeV \\
+ \keyword{CLIGHT} & $c$ & 299792458 & m/s \\
+ \keyword{OPALVERSION} & & 120 & for 1.2.0 \\
+ \keyword{RANK} & & $0\ldots N_{p}-1$ & 1 \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+Here the \keyword{RANK} represents the MPI-Rank of the process and $N_{p}$ the total number of MPI processes.
+\subsection{Variable labels}
+\label{sec:avariable}
+\index{Variable}
+Often a set of numerical values depends
+on a common variable parameter.
+Such a variable must be defined as a global
+variable \seesec{variable} defined by one of
+\begin{example}
+X=expression;
+X:=expression;
+VECTOR X=vector-expression;
+VECTOR X:=vector-expression;
+\end{example}
+When such a variable is used in an expression,
+\opal uses the current value of the variable.
+When the value is a constant or an expression preceded by the delimiter
+\texttt{=} it is evaluated immediately and the result is assigned to the
+variable as a constant.
+When the value is an expression preceded by the delimiter \texttt{:=}
+the expression is retained and re-evaluated whenever one of its operands
+changes.\\
+\noindent Example:
+\begin{example}
+L=1.0;
+X:=L;
+D1:DRIFT,L:=X;
+D2:DRIFT,L:=2.0-X;
+\end{example}
+When the value of \texttt{X} is changed,
+the lengths of the drift spaces are recalculated as
+\texttt{X} and \texttt{2-X} respectively.
+
+\subsection{Element or command attributes}
+In arithmetic expressions the attributes of physical elements
+or commands can occur as operands.
+They are named respectively by
+\begin{example}
+element-name->attribute-name
+command-name->attribute-name
+\end{example}
+If they are arrays, they are denoted by
+\begin{example}
+element-name->attribute-name[index]
+command-name->attribute-name[index]
+\end{example}
+Values are assigned to attributes in element definitions or commands.
+
+\noindent Example:
+\begin{example}
+D1:DRIFT,L=1.0;
+D2:DRIFT,L=2.0-D1->L;
+\end{example}
+\texttt{D1->L} refers to the length \texttt{L} of the drift space \texttt{D1}.
+
+\subsection{Deferred Expressions and Random Values}
+\label{sec:adefer}
+Definition of random machine imperfections requires evaluation
+of expressions containing random functions.
+These are not evaluated like other expressions before a command
+begins execution, but sampled as required from the distributions
+indicated when errors are generated.
+Such an expression is known as a \textbf{deferred expression}.
+Its value cannot occur as an operand in another expression.
+
+\ifthenelse{\boolean{ShowMap}}{
+\noindent Example:
+\begin{example}
+ERROR:EALIGN,CLASS=QUADRUPOLE,DX=SIGMA*GAUSS();
+\end{example}
+All elements in range are assigned independent random
+displacements sampled from a Gaussian distribution
+with standard deviation \keyword{SIGMA}.
+The quantity \keyword{ERROR->DX} must not occur as an operand
+in another expression.
+
+\subsection{Table References}
+\label{sec:acell}
+Values can be extracted from a table with the syntax
+\begin{example}
+table-name "@" place "->" column-name
+\end{example}
+Here \texttt{table-name} denotes a table \seechp{tables},
+\texttt{place} denotes a table row \seesec{aplace},
+and \texttt{column-name} denotes the name of a column in the table.
+
+\noindent Example:
+\begin{example}
+TWISS@#E->BETX
+\end{example}
+denotes the horizontal beta function at the end of table
+\keyword{TWISS}.
+}{}
+
+\section{Element Selection}
+\index{Selection Of Elements}
+\index{Element!Selection}
+\index{Place}
+Many \opal commands allow for the possibility to process or display
+a subset of the elements occurring in a beam line or sequence. This is not yet available in:
+\noopalt and \noopalcycl.
+
+\subsection{Element Selection}
+\label{sec:aplace}
+A \texttt{place} denotes a single element, or the position
+\textbf{following} that element.
+It can be specified by one of the choices
+\begin{description}
+\item[{object-name[index]}]
+The name \verb'object-name' is the name of an element, line or sequence,
+and the integer \texttt{index} is its occurrence count in the beam line.
+If the element is unique, \texttt{[index]} can be omitted.
+\item[{\#S}]
+denotes the position before the first physical element in the \textbf{full}
+beam line.
+This position can also be written \texttt{\#0}.
+\item[{\#E}]
+denotes the position after the last physical element in the \textbf{full}
+beam line.
+\end{description}
+Either form may be qualified by one or more beam line names,
+as described by the formal syntax:
+\begin{example}
+place ::= element-name |
+ element-name "[" integer "]" |
+ "#S" |
+ "#E" |
+ line-name "::" place
+\end{example}
+An omitted index defaults to one.
+\noindent Examples: assume the following definitions:
+\begin{example}
+M: MARKER;
+S: LINE=(C,M,D);
+L: LINE=(A,M,B,2*S,A,M,B);
+ SURVEY,LINE=L
+\end{example}
+The line \texttt{L} is equivalent to the sequence of elements
+\begin{example}
+A,M,B,C,M,D,C,M,D,A,M,B
+\end{example}
+Some possible \texttt{place} definitions are:
+\begin{description}
+\item[{C[1]}]
+The first occurrence of element \texttt{C}.
+\item[\#S]
+The beginning of the line \texttt{L}.
+\item[{M[2]}]
+The second marker \texttt{M} at top level of line \texttt{L},
+i.~e. the marker between second \texttt{A} and the second \texttt{B}.
+\item[\#E]
+The end of line \texttt{L}
+\item[{S[1]::M[1]}]
+The marker \texttt{M} nested in the first occurrence of \texttt{S}.
+\end{description}
+
+\subsection{Range Selection}
+\label{sec:arange}
+\index{Element!Range}
+\index{Range}
+A \texttt{range} in a beam line \seesec{line} is selected
+by the following syntax:
+\begin{example}
+range ::= place |
+ place "/" place
+\end{example}
+This denotes the range of elements from the first\texttt{place} to
+the second \texttt{place}. Both positions are included.
+A few special cases are worth noting:
+\begin{itemize}
+\item
+When \texttt{place1} refers to a \keyword{LINE} \seesec{line}.
+the range starts at the \textbf{beginning} of this line.
+\item
+When \texttt{place2} refers to a \keyword{LINE} \seesec{line}.
+the range ends at the \textbf{ending} of this line.
+\item
+When both \texttt{place} specifications refer to the same object,
+then the second can be omitted.
+In this case, and if \texttt{place} refers to a
+\keyword{LINE} \seesec{line} the range contains the whole of the line.
+\end{itemize}
+\noindent Examples: Assume the following definitions:
+\begin{example}
+M: MARKER;
+S: LINE=(C,M,D);
+L: LINE=(A,M,B,2*S,A,M,B);
+\end{example}
+The line L is equivalent to the sequence of elements
+\begin{example}
+A,M,B,C,M,D,C,M,D,A,M,B
+\end{example}
+\noindent Examples for \texttt{range} selections:
+\begin{description}
+\item[\#S/\#E]
+ The full range or \texttt{L}.
+\item[{A[1]/A[2]}]
+ \texttt{A[1]} through \texttt{A[2]}, both included.
+\item[{S::M/S[2]::M}]
+ From the marker \texttt{M} nested in the first occurrence of
+ \texttt{S},
+ to the marker \texttt{M} nested in the second occurrence of
+ \texttt{S}.
+\item[{S[1]/S[2]}]
+ Entrance of first occurrence of \texttt{S} through
+ exit of second occurrence of \texttt{S}.
+\end{description}
+
+\section{Constraints}
+\label{sec:aconstraint}
+\index{Constraint}
+Please note this is not yet available in:
+\noopalt and \noopalcycl.
+
+In matching it is desired to specify equality constraints,
+as well as lower and upper limits for a quantity.
+\opal accepts the following form of constraints:
+\begin{example}
+constraint ::= array-expr constraint-operator array-expr
+
+constraint-operator ::= "==" | "<" | ">"
+\end{example}
+
+\section{Variable Names}
+\label{sec:areference}
+\index{Variable}
+A variable name can have one of the formats:
+\begin{example}
+ variable name ::= real variable |
+ object"->"real attribute
+\end{example}
+The first format refers to the value of the
+{global variable} \seesec{variable},
+the second format refers to a named \texttt{attribute} of the named
+\texttt{object}.
+\texttt{object} can refer to an element or a command
+
+\section{Regular Expressions}
+\label{sec:wildcard}
+\index{Regular Expression}
+\index{Wildcard}
+Some commands allow selection of items via a \texttt{regular-expression}.
+Such a pattern string \textbf{must} be enclosed in single or double quotes;
+and the case of letters is significant.
+The meaning of special characters follows the standard UNIX usage:
+utility:
+\begin{description}
+\item[.]
+Stands for a single arbitrary character,
+\item[{[letter...letter]}]
+Stands for a single character occurring in the bracketed string,
+\noindent Example: ``\texttt{[abc]}'' denotes the choice of one of
+\texttt{a,b,c}.
+\item[{[character-character]}]
+Stands for a single character from a range of characters,
+\noindent Example: ``\texttt{[a-zA-Z]}'' denotes the choice of any letter.
+\item[*]
+Allows zero or more repetitions of the preceding item,
+\noindent Example: ``\texttt{[A-Z]*}'' denotes a string of zero or more
+upper case letters.
+\item[$\backslash$character]
+Removes the special meaning of \texttt{character},
+\noindent Example: ``\texttt{$\backslash$*}'' denotes a literal asterisk.
+\end{description}
+All other characters stand for themselves.
+The pattern
+\begin{example}
+"[A-Za-z][A-Za-z0-9_']*"
+\end{example}
+illustrates all possible unquoted identifier formats \seesec{label}.
+Since identifiers are converted to lower case,
+after reading they will match the pattern
+\begin{example}
+"[a-z][a-z0-9_']*"
+\end{example}
+\noindent Examples for pattern use:
+\begin{example}
+SELECT,PATTERN="D.."
+SAVE,PATTERN="K.*QD.*\.R1"
+\end{example}
+The first command selects all elements whose names have exactly three
+characters and begin with the letter \texttt{D}.
+The second command saves definitions beginning with the letter \texttt{K},
+containing the string \texttt{QD}, and ending with the string \texttt{.R1}.
+The two occurrences of \verb'.*' each stand for an arbitrary
+number (including zero) of any character,
+and the occurrence \verb'\.' stands for a literal period.
+
+\ifthenelse{\boolean{ShowMap}}{
+\section{Token List}
+\label{sec:toklist}
+\index{Token List}
+In some special commands \keyword{LIST} \seesec{list} an attribute
+cannot be parsed immediately, since some information may not yet be
+available during parsing.
+Such an attribute is entered as a ``token list'', and it is parsed
+again when the information becomes available.
+Token lists can occur in token list arrays \seesec{tokarray}.
+This is not yet available in:
+\noopalt and \noopalcycl.
+
+\noindent Example:
+\begin{example}
+LIST,COLUMN={X:12:6,Y:12:6};
+\end{example}
+where \texttt{X:12:6} and \texttt{Y:12:6} are two token lists,
+and \texttt{\{X:12:6,Y:12:6\}} is a token list array.
+}{}
+
+\section{Arrays}
+\label{sec:anarray}
+\index{Real!Array}
+\index{Array!Real}
+An attribute array is a set of values of the same
+{attribute type} \seesec{attribute}.
+Normally an array is entered as a list in braces:
+\begin{example}
+{value,...,value}
+\end{example}
+The list length is only limited by the available storage.
+If the array has only one value, the braces (\texttt{{}}) can be omitted:
+\begin{example}
+value
+\end{example}
+
+\subsection{Logical Arrays}
+\label{sec:logarray}
+\index{Array!Logical}
+\index{Logical!Array}
+For the time being, logical arrays can only be given as a list.
+The formal syntax is:
+\begin{example}
+logical-array ::= "{" logical-list "}"
+
+logical-list ::= logical-expr |
+ logical-list "," logical-expr
+\end{example}
+\par
+\noindent Example:
+\begin{example}
+{true,true,a==b,false,x>y && y>z,true,false}
+\end{example}
+
+\subsection{Real Arrays}
+\label{sec:realarray}
+\index{Array!Real}
+\index{Real!Array}
+Real arrays have the following syntax:
+\begin{footnotesize}
+\begin{example}
+array-ref ::= array-variable |
+ object "->" array-attribute |
+
+table-ref ::= "ROW" "(" table "," place ")" |
+ "ROW" "(" table "," place "," column-list ")"
+ "COLUMN" "(" table "," column ")" |
+ "COLUMN" "(" table "," column "," range ")"
+
+columns ::= column |
+ "{" column-list "}"
+
+column-list ::= column |
+ column-list "," column
+
+column ::= string
+
+real-list ::= real-expr |
+ real-list "," real-expr
+
+index-select ::= integer |
+ integer "," integer |
+ integer "," integer "," integer
+
+array-primary ::= "{" real-list "}" |
+ "TABLE" "(" index-select "," real-expr ")" |
+ array-ref |
+ table-ref |
+ array-function-name "(" arguments ")" |
+ (array-expression)
+
+array-factor ::= array-primary |
+ array-factor "^" array-primary
+
+array-term ::= array-factor |
+ array-term "*" array-factor |
+ array-term "/" array-factor
+
+array-expr ::= array-term |
+ "+" array-term |
+ "-" array-term |
+ array-expr "+" array-term |
+ array-expr "-" array-term |
+\end{example}
+\end{footnotesize}
+
+\begin{table}[!htb] \footnotesize
+ \begin{center}
+ \caption{Real Array Functions in \opal (acting component-wise)}
+ \label{tab:compfun}
+ \begin{tabular}{|l|p{0.5\textwidth}|l|l|}
+ \hline
+ \tabhead{Function & Meaning & result type & argument type}
+ \hline
+ \keyword{TRUNC(X)} &
+ truncate \texttt{X} towards zero (discard fractional part) &
+ real array &real array \\
+ \keyword{ROUND(X)} & round \texttt{X} to nearest integer &
+ real array &real array \\
+ \keyword{FLOOR(X)} & return largest integer not greater than \texttt{X} &
+ real array &real array \\
+ \keyword{CEIL(X)} & return smallest integer not less than \texttt{X} &
+ real array &real array \\
+ \keyword{SIGN(X)} & return sign of \texttt{X}
+ (+1 for \texttt{X} positive, -1 for \texttt{X} negative,
+ 0 for \texttt{X} zero) & real array &real array \\
+ \keyword{SQRT(X)} & return square root of \texttt{X} &
+ real array &real array \\
+ \keyword{LOG(X)} & return natural logarithm of \texttt{X} &
+ real array &real array \\
+ \keyword{EXP(X)} & return exponential to the base $e$ of \texttt{X} &
+ real array &real array \\
+ \keyword{SIN(X)} & return trigonometric sine of \texttt{X} &
+ real array &real array \\
+ \keyword{COS(X)} & return trigonometric cosine of \texttt{X} &
+ real array &real array \\
+ \keyword{ABS(X)} & return absolute value of \texttt{X} &
+ real array &real array \\
+ \keyword{TAN(X)} & return trigonometric tangent of \texttt{X} &
+ real array &real array \\
+ \keyword{ASIN(X)} & return inverse trigonometric sine of \texttt{X} &
+ real array &real array \\
+ \keyword{ACOS(X)} & return inverse trigonometric cosine of \texttt{X} &
+ real array &real array \\
+ \keyword{ATAN(X)} & return inverse trigonometric tangent of \texttt{X} &
+ real array &real array \\
+ \keyword{TGAUSS(X)} &
+ random number, Gaussian distribution with $\sigma$=1,
+ truncated at \texttt{X} &
+ real array &real array \\
+ \keyword{USER1(X)} &
+ random number, user-defined distribution with one parameter &
+ real array &real array \\
+ \keyword{EVAL(X)} &
+ evaluate the argument immediately and transmit it as a constant &
+ real array &real array \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+\noindent Example:
+\begin{example}
+{a,a+b,a+2*b}
+\end{example}
+There are also three functions allowing the generation of real arrays:
+\begin{kdescription}
+\item[TABLE]
+ \index{TABLE}
+ Generate an array of expressions:
+\begin{example}
+TABLE(n2,expression) // implies
+ // TABLE(1:n2:1,expression)
+TABLE(n1:n2,expression) // implies
+ // TABLE(n1:n2:1,expression)
+TABLE(n1:n2:n3,expression)
+\end{example}
+ These expressions all generate an array with \texttt{n2} components.
+ The components selected by \texttt{n1:n2:n3} are filled from the given
+ \texttt{expression};
+ a C pseudo-code for filling is
+\begin{example}
+int i;
+for (i = n1; i <= n2; i += n3) a[i] = expression(i);
+\end{example}
+ In each generated expression the special character hash sign (\texttt{\#})
+ is replaced by the current value of the index \texttt{i}.
+ \par
+ \noindent Example:
+\begin{example}
+// an array with 9 components, evaluates to
+// {1,4,7,10,13}:
+table(5:9:2,3*#+1) // equivalent to
+ // {0,0,0,0,16,0,22,0,28}
+\end{example}
+\item[ROW]
+ \index{ROW}
+ Generate a table row:
+\begin{example}
+ROW(table,place) // implies all columns
+ROW(table,place,column list)
+\end{example}
+ This generates an array containing the named (or all) columns in the
+ selected place.
+\item[COLUMN]
+ \index{COLUMN}
+ Generate a table column:
+\begin{example}
+COLUMN(table,column) // implies all rows
+COLUMN(table,column,range)
+\end{example}
+ This generates an array containing the selected (or all) rows of the
+ named column.
+\end{kdescription}
+
+\subsection{String Arrays}
+\label{sec:strarray}
+\index{Array!String}
+\index{String!Array}
+String arrays can only be given as lists of single values.
+For permissible values String values \seesec{astring}.
+\par
+\noindent Example:
+\begin{example}
+{A, "xyz", A & STRING(X)}
+\end{example}
+
+\subsection{Token List Arrays}
+\label{sec:tokarray}
+\index{Array!Token List}
+\index{Token List!Array}
+Token list arrays are always lists of single token lists.
+\par
+\noindent Example:
+\begin{example}
+{X:12:8,Y:12:8}
+\end{example}
+
+\index{Command!Format|)}
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/geometry.tex b/doc/user_guide/geometry.tex
new file mode 100644
index 0000000000000000000000000000000000000000..40ac8b893793600a60c84967d3ecca338329db05
--- /dev/null
+++ b/doc/user_guide/geometry.tex
@@ -0,0 +1,51 @@
+\input{header}
+
+\chapter{Geometry}
+\label{chp:geometry}
+\index{GEOMETRY}
+
+At present the \keyword{GEOMETRY} command is still an \textbf{experimental feature} which is not to be used by the general user. It can only be used to specify boundaries for the MG Solver. The command can be used in two modes:
+\begin{enumerate}
+\item specify a \textsc{H5Fed} file holding the surface mesh of a complicated boundary geometry
+\item specify a cylinder with an elliptic base area
+\end{enumerate}
+
+\section{Geometry Command}
+\label{sec:geometrycmd}
+\begin{table}[ht] \footnotesize
+ \begin{center}
+ \caption{Geometry command summary}
+ \label{tab:geometrycmd}
+ \begin{tabular}{|l|p{0.6\textwidth}|l|}
+ \hline
+ \tabhead{Command & Purpose}
+ \hline
+ \tabline{GEOMETRY}{Specify a geometry}
+ \tabline{FGEOM}{Specifies the \textsc{H5Fed} geometry file}
+ \tabline{LENGTH}{Specifies the length of the geometry}
+ \tabline{S}{Specifies the start of the geometry}
+ \tabline{A}{Specifies the semi-major axis of the elliptic base area}
+ \tabline{B}{Specifies the semi-minor axis of the elliptic base area}
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\begin{kdescription}
+\item[FGEOM]
+Define the geometry file, an \textsc{H5Fed} file, containing the surface mesh of the geometry.
+
+\item[LENGTH]
+The length of the specified geometry in [m].
+
+\item[S]
+The start of the specified geometry in [m].
+
+\item[A]
+The semi-major axis of the ellipse in [m].
+
+\item[B]
+The semi-minor axis of the ellipse in [m].
+\end{kdescription}
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/header.tex b/doc/user_guide/header.tex
new file mode 100755
index 0000000000000000000000000000000000000000..36d6ffbf3efdb6ab2fc74b0110f8694973ea1766
--- /dev/null
+++ b/doc/user_guide/header.tex
@@ -0,0 +1,28 @@
+\ifdefined \buildingFullOPALManual \else
+
+
+%\ifx \@buildingFullOPALManual \@empty
+%\else
+
+%\documentclass[12pt,a4paper]{report}
+\documentclass[a4paper]{book}
+
+%% does not work in Latex2Html mode
+%\usepackage{hyperref}
+
+\input{packages}
+\input{macros}
+\input{switches}
+
+%----Control Structures
+\newboolean{FullOPALManual}
+\setboolean{FullOPALManual}{false}
+
+
+\makeindex
+
+
+\bibliography{bibliography}
+\begin{document}
+
+\fi
\ No newline at end of file
diff --git a/doc/user_guide/html.sty b/doc/user_guide/html.sty
new file mode 100644
index 0000000000000000000000000000000000000000..b5f8fbb84a1f1db5cb205ecf13727e5dbb05322f
--- /dev/null
+++ b/doc/user_guide/html.sty
@@ -0,0 +1,887 @@
+%
+% $Id: html.sty,v 1.23 1998/02/26 10:32:24 latex2html Exp $
+% LaTeX2HTML Version 96.2 : html.sty
+%
+% This file contains definitions of LaTeX commands which are
+% processed in a special way by the translator.
+% For example, there are commands for embedding external hypertext links,
+% for cross-references between documents or for including raw HTML.
+% This file includes the comments.sty file v2.0 by Victor Eijkhout
+% In most cases these commands do nothing when processed by LaTeX.
+%
+% Place this file in a directory accessible to LaTeX (i.e., somewhere
+% in the TEXINPUTS path.)
+%
+% NOTE: This file works with LaTeX 2.09 or (the newer) LaTeX2e.
+% If you only have LaTeX 2.09, some complex LaTeX2HTML features
+% like support for segmented documents are not available.
+
+% Changes:
+% See the change log at end of file.
+
+
+% Exit if the style file is already loaded
+% (suggested by Lee Shombert <las@potomac.wash.inmet.com>
+\ifx \htmlstyloaded\relax \endinput\else\let\htmlstyloaded\relax\fi
+\makeatletter
+
+\providecommand{\latextohtml}{\LaTeX2\texttt{HTML}}
+
+
+%%% LINKS TO EXTERNAL DOCUMENTS
+%
+% This can be used to provide links to arbitrary documents.
+% The first argumment should be the text that is going to be
+% highlighted and the second argument a URL.
+% The hyperlink will appear as a hyperlink in the HTML
+% document and as a footnote in the dvi or ps files.
+%
+\newcommand{\htmladdnormallinkfoot}[2]{#1\footnote{#2}}
+
+
+% This is an alternative definition of the command above which
+% will ignore the URL in the dvi or ps files.
+\newcommand{\htmladdnormallink}[2]{#1}
+
+
+% This command takes as argument a URL pointing to an image.
+% The image will be embedded in the HTML document but will
+% be ignored in the dvi and ps files.
+%
+\newcommand{\htmladdimg}[1]{}
+
+
+%%% CROSS-REFERENCES BETWEEN (LOCAL OR REMOTE) DOCUMENTS
+%
+% This can be used to refer to symbolic labels in other Latex
+% documents that have already been processed by the translator.
+% The arguments should be:
+% #1 : the URL to the directory containing the external document
+% #2 : the path to the labels.pl file of the external document.
+% If the external document lives on a remote machine then labels.pl
+% must be copied on the local machine.
+%
+%e.g. \externallabels{http://cbl.leeds.ac.uk/nikos/WWW/doc/tex2html/latex2html}
+% {/usr/cblelca/nikos/tmp/labels.pl}
+% The arguments are ignored in the dvi and ps files.
+%
+\newcommand{\externallabels}[2]{}
+
+
+% This complements the \externallabels command above. The argument
+% should be a label defined in another latex document and will be
+% ignored in the dvi and ps files.
+%
+\newcommand{\externalref}[1]{}
+
+
+% Suggested by Uffe Engberg (http://www.brics.dk/~engberg/)
+% This allows the same effect for citations in external bibliographies.
+% An \externallabels command must be given, locating a labels.pl file
+% which defines the location and keys used in the external .html file.
+%
+\newcommand{\externalcite}{\nocite}
+
+
+%%% HTMLRULE
+% This command adds a horizontal rule and is valid even within
+% a figure caption.
+% Here we introduce a stub for compatibility.
+\newcommand{\htmlrule}{\protect\HTMLrule}
+\newcommand{\HTMLrule}{\@ifstar\htmlrulestar\htmlrulestar}
+\newcommand{\htmlrulestar}[1]{}
+
+% This command adds information within the <BODY> ... </BODY> tag
+%
+\newcommand{\bodytext}[1]{}
+\newcommand{\htmlbody}{}
+
+
+%%% HYPERREF
+% Suggested by Eric M. Carol <eric@ca.utoronto.utcc.enfm>
+% Similar to \ref but accepts conditional text.
+% The first argument is HTML text which will become ``hyperized''
+% (underlined).
+% The second and third arguments are text which will appear only in the paper
+% version (DVI file), enclosing the fourth argument which is a reference to a label.
+%
+%e.g. \hyperref{using the tracer}{using the tracer (see Section}{)}{trace}
+% where there is a corresponding \label{trace}
+%
+\newcommand{\hyperref}{\hyperrefx[ref]}
+\def\hyperrefx[#1]{{\def\next{#1}%
+ \def\tmp{ref}\ifx\next\tmp\aftergroup\hyperrefref
+ \else\def\tmp{pageref}\ifx\next\tmp\aftergroup\hyperpageref
+ \else\def\tmp{page}\ifx\next\tmp\aftergroup\hyperpageref
+ \else\def\tmp{noref}\ifx\next\tmp\aftergroup\hypernoref
+ \else\def\tmp{no}\ifx\next\tmp\aftergroup\hypernoref
+ \else\typeout{*** unknown option \next\space to hyperref ***}%
+ \fi\fi\fi\fi\fi}}
+\newcommand{\hyperrefref}[4]{#2\ref{#4}#3}
+\newcommand{\hyperpageref}[4]{#2\pageref{#4}#3}
+\newcommand{\hypernoref}[3]{#2}
+
+
+%%% HYPERCITE --- added by RRM
+% Suggested by Stephen Simpson <simpson@math.psu.edu>
+% effects the same ideas as in \hyperref, but for citations.
+% It does not allow an optional argument to the \cite, in LaTeX.
+%
+% \hypercite{<html-text>}{<LaTeX-text>}{<opt-text>}{<key>}
+%
+% uses the pre/post-texts in LaTeX, with a \cite{<key>}
+%
+% \hypercite[ext]{<html-text>}{<LaTeX-text>}{<key>}
+%
+% uses the pre/post-texts in LaTeX, with a \nocite{<key>}
+% the actual reference comes from an \externallabels file.
+%
+\newcommand{\hypercite}{\hypercitex[int]}
+\def\hypercitex[#1]{{\def\next{#1}%
+ \def\tmp{int}\ifx\next\tmp\aftergroup\hyperciteint
+ \else\def\tmp{cite}\ifx\next\tmp\aftergroup\hyperciteint
+ \else\def\tmp{ext}\ifx\next\tmp\aftergroup\hyperciteext
+ \else\def\tmp{nocite}\ifx\next\tmp\aftergroup\hyperciteext
+ \else\def\tmp{no}\ifx\next\tmp\aftergroup\hyperciteext
+ \else\typeout{*** unknown option \next\space to hypercite ***}%
+ \fi\fi\fi\fi\fi}}
+\newcommand{\hyperciteint}[4]{#2{\def\tmp{#3}\def\emptyopt{}%
+ \ifx\tmp\emptyopt\cite{#4}\else\cite[#3]{#4}\fi}}
+\newcommand{\hyperciteext}[3]{#2\nocite{#3}}
+
+
+
+%%% HTMLREF
+% Reference in HTML version only.
+% Mix between \htmladdnormallink and \hyperref.
+% First arg is text for in both versions, second is label for use in HTML
+% version.
+\newcommand{\htmlref}[2]{#1}
+
+%%% HTMLCITE
+% Reference in HTML version only.
+% Mix between \htmladdnormallink and \hypercite.
+% First arg is text for in both versions, second is citation for use in HTML
+% version.
+\newcommand{\htmlcite}[2]{#1}
+
+
+%%% HTMLIMAGE
+% This command can be used inside any environment that is converted
+% into an inlined image (eg a "figure" environment) in order to change
+% the way the image will be translated. The argument of \htmlimage
+% is really a string of options separated by commas ie
+% [scale=<scale factor>],[external],[thumbnail=<reduction factor>
+% The scale option allows control over the size of the final image.
+% The ``external'' option will cause the image not to be inlined
+% (images are inlined by default). External images will be accessible
+% via a hypertext link.
+% The ``thumbnail'' option will cause a small inlined image to be
+% placed in the caption. The size of the thumbnail depends on the
+% reduction factor. The use of the ``thumbnail'' option implies
+% the ``external'' option.
+%
+% Example:
+% \htmlimage{scale=1.5,external,thumbnail=0.2}
+% will cause a small thumbnail image 1/5th of the original size to be
+% placed in the final document, pointing to an external image 1.5
+% times bigger than the original.
+%
+\newcommand{\htmlimage}[1]{}
+
+
+% \htmlborder causes a border to be placed around an image or table
+% when the image is placed within a <TABLE> cell.
+\newcommand{\htmlborder}[1]{}
+
+% Put \begin{makeimage}, \end{makeimage} around LaTeX to ensure its
+% translation into an image.
+% This shields sensitive text from being translated.
+\newenvironment{makeimage}{}{}
+
+
+% A dummy environment that can be useful to alter the order
+% in which commands are processed, in LaTeX2HTML
+\newenvironment{tex2html_deferred}{}{}
+
+
+%%% HTMLADDTONAVIGATION
+% This command appends its argument to the buttons in the navigation
+% panel. It is ignored by LaTeX.
+%
+% Example:
+% \htmladdtonavigation{\htmladdnormallink
+% {\htmladdimg{http://server/path/to/gif}}
+% {http://server/path}}
+\newcommand{\htmladdtonavigation}[1]{}
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Comment.sty version 2.0, 19 June 1992
+% selectively in/exclude pieces of text: the user can define new
+% comment versions, and each is controlled separately.
+% This style can be used with plain TeX or LaTeX, and probably
+% most other packages too.
+%
+% Examples of use in LaTeX and TeX follow \endinput
+%
+% Author
+% Victor Eijkhout
+% Department of Computer Science
+% University Tennessee at Knoxville
+% 104 Ayres Hall
+% Knoxville, TN 37996
+% USA
+%
+% eijkhout@cs.utk.edu
+%
+% Usage: all text included in between
+% \comment ... \endcomment
+% or \begin{comment} ... \end{comment}
+% is discarded. The closing command should appear on a line
+% of its own. No starting spaces, nothing after it.
+% This environment should work with arbitrary amounts
+% of comment.
+%
+% Other 'comment' environments are defined by
+% and are selected/deselected with
+% \includecomment{versiona}
+% \excludecoment{versionb}
+%
+% These environments are used as
+% \versiona ... \endversiona
+% or \begin{versiona} ... \end{versiona}
+% with the closing command again on a line of its own.
+%
+% Basic approach:
+% to comment something out, scoop up every line in verbatim mode
+% as macro argument, then throw it away.
+% For inclusions, both the opening and closing comands
+% are defined as noop
+%
+% Changed \next to \html@next to prevent clashes with other sty files
+% (mike@emn.fr)
+% Changed \html@next to \htmlnext so the \makeatletter and
+% \makeatother commands could be removed (they were causing other
+% style files - changebar.sty - to crash) (nikos@cbl.leeds.ac.uk)
+% Changed \htmlnext back to \html@next...
+
+\def\makeinnocent#1{\catcode`#1=12 }
+\def\csarg#1#2{\expandafter#1\csname#2\endcsname}
+
+\def\ThrowAwayComment#1{\begingroup
+ \def\CurrentComment{#1}%
+ \let\do\makeinnocent \dospecials
+ \makeinnocent\^^L% and whatever other special cases
+ \endlinechar`\^^M \catcode`\^^M=12 \xComment}
+{\catcode`\^^M=12 \endlinechar=-1 %
+ \gdef\xComment#1^^M{\def\test{#1}\edef\test{\meaning\test}
+ \csarg\ifx{PlainEnd\CurrentComment Test}\test
+ \let\html@next\endgroup
+ \else \csarg\ifx{LaLaEnd\CurrentComment Test}\test
+ \edef\html@next{\endgroup\noexpand\end{\CurrentComment}}
+ \else \csarg\ifx{LaInnEnd\CurrentComment Test}\test
+ \edef\html@next{\endgroup\noexpand\end{\CurrentComment}}
+ \else \let\html@next\xComment
+ \fi \fi \fi \html@next}
+}
+
+\def\includecomment
+ #1{\expandafter\def\csname#1\endcsname{}%
+ \expandafter\def\csname end#1\endcsname{}}
+\def\excludecomment
+ #1{\expandafter\def\csname#1\endcsname{\ThrowAwayComment{#1}}%
+ {\escapechar=-1\relax
+ \edef\tmp{\string\\end#1}%
+ \csarg\xdef{PlainEnd#1Test}{\meaning\tmp}%
+ \edef\tmp{\string\\end\string\{#1\string\}}%
+ \csarg\xdef{LaLaEnd#1Test}{\meaning\tmp}%
+ \edef\tmp{\string\\end \string\{#1\string\}}%
+ \csarg\xdef{LaInnEnd#1Test}{\meaning\tmp}%
+ }}
+
+\excludecomment{comment}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% end Comment.sty
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%
+% Alternative code by Robin Fairbairns, 22 September 1997
+%
+\newcommand\@gobbleenv{\let\reserved@a\@currenvir\@gobble@nv}
+\long\def\@gobble@nv#1\end#2{\def\reserved@b{#2}%
+ \ifx\reserved@a\reserved@b
+ \edef\reserved@a{\noexpand\end{\reserved@a}}%
+ \expandafter\reserved@a
+ \else
+ \expandafter\@gobble@nv
+ \fi}
+
+\renewcommand{\excludecomment}[1]{%
+ \csname newenvironment\endcsname{#1}{\@gobbleenv}{}}
+
+%%% RAW HTML
+%
+% Enclose raw HTML between a \begin{rawhtml} and \end{rawhtml}.
+% The html environment ignores its body
+%
+\excludecomment{rawhtml}
+
+
+%%% HTML ONLY
+%
+% Enclose LaTeX constructs which will only appear in the
+% HTML output and will be ignored by LaTeX with
+% \begin{htmlonly} and \end{htmlonly}
+%
+\excludecomment{htmlonly}
+% Shorter version
+\newcommand{\html}[1]{}
+
+% for images.tex only
+\excludecomment{imagesonly}
+
+%%% LaTeX ONLY
+% Enclose LaTeX constructs which will only appear in the
+% DVI output and will be ignored by latex2html with
+%\begin{latexonly} and \end{latexonly}
+%
+\newenvironment{latexonly}{}{}
+% Shorter version
+\newcommand{\latex}[1]{#1}
+
+
+%%% LaTeX or HTML
+% Combination of \latex and \html.
+% Say \latexhtml{this should be latex text}{this html text}
+%
+%\newcommand{\latexhtml}[2]{#1}
+\long\def\latexhtml#1#2{#1}
+
+
+%%% tracing the HTML conversions
+% This alters the tracing-level within the processing
+% performed by latex2html by adjusting $VERBOSITY
+% (see latex2html.config for the appropriate values)
+%
+\newcommand{\htmltracing}[1]{}
+\newcommand{\htmltracenv}[1]{}
+
+
+%%% \strikeout for HTML only
+% uses <STRIKE>...</STRIKE> tags on the argument
+% LaTeX just gobbles it up.
+\newcommand{\strikeout}[1]{}
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%% JCL - stop input here if LaTeX2e is not present
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\ifx\if@compatibility\undefined
+ %LaTeX209
+ \makeatother\relax\expandafter\endinput
+\fi
+\if@compatibility
+ %LaTeX2e in LaTeX209 compatibility mode
+ \makeatother\relax\expandafter\endinput
+\fi
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% Start providing LaTeX2e extension:
+% This is currently:
+% - additional optional argument for \htmladdimg
+% - support for segmented documents
+%
+
+\ProvidesPackage{html}
+ [1996/12/22 v1.1 hypertext commands for latex2html (nd, hws, rrm)]
+%%%%MG
+
+% This command takes as argument a URL pointing to an image.
+% The image will be embedded in the HTML document but will
+% be ignored in the dvi and ps files. The optional argument
+% denotes additional HTML tags.
+%
+% Example: \htmladdimg[ALT="portrait" ALIGN=CENTER]{portrait.gif}
+%
+\renewcommand{\htmladdimg}[2][]{}
+
+%%% HTMLRULE for LaTeX2e
+% This command adds a horizontal rule and is valid even within
+% a figure caption.
+%
+% This command is best used with LaTeX2e and HTML 3.2 support.
+% It is like \hrule, but allows for options via key--value pairs
+% as follows: \htmlrule[key1=value1, key2=value2, ...] .
+% Use \htmlrule* to suppress the <BR> tag.
+% Eg. \htmlrule[left, 15, 5pt, "none", NOSHADE] produces
+% <BR CLEAR="left"><HR NOSHADE SIZE="15">.
+% Renew the necessary part.
+\renewcommand{\htmlrulestar}[1][all]{}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% renew some definitions to allow optional arguments
+%
+% The description of the options is missing, as yet.
+%
+\renewcommand{\latextohtml}{\textup{\LaTeX2\texttt{HTML}}}
+\renewcommand{\htmladdnormallinkfoot}[3][]{#2\footnote{#3}}
+\renewcommand{\htmladdnormallink}[3][]{#2}
+\renewcommand{\htmlbody}[1][]{}
+\renewcommand{\hyperref}[1][ref]{\hyperrefx[#1]}
+\renewcommand{\hypercite}[1][int]{\hypercitex[#1]}
+\renewcommand{\htmlref}[3][]{#2}
+\renewcommand{\htmlcite}[1]{#1\htmlcitex}
+\newcommand{\htmlcitex}[2][]{{\def\tmp{#1}\ifx\tmp\@empty\else~[#1]\fi}}
+\renewcommand{\htmlimage}[2][]{}
+\renewcommand{\htmlborder}[2][]{}
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% HTML HTMLset HTMLsetenv
+%
+% These commands do nothing in LaTeX, but can be used to place
+% HTML tags or set Perl variables during the LaTeX2HTML processing;
+% They are intended for expert use only.
+
+\newcommand{\HTMLcode}[2][]{}
+\ifx\undefined\HTML\newcommand{\HTML}[2][]{}\else
+\typeout{*** Warning: \string\HTML\space had an incompatible definition ***}%
+\typeout{*** instead use \string\HTMLcode\space for raw HTML code ***}%
+\fi
+\newcommand{\HTMLset}[3][]{}
+\newcommand{\HTMLsetenv}[3][]{}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% The following commands pertain to document segmentation, and
+% were added by Herbert Swan <dprhws@edp.Arco.com> (with help from
+% Michel Goossens <goossens@cern.ch>):
+%
+%
+% This command inputs internal latex2html tables so that large
+% documents can to partitioned into smaller (more manageable)
+% segments.
+%
+\newcommand{\internal}[2][internals]{}
+
+%
+% Define a dummy stub \htmlhead{}. This command causes latex2html
+% to define the title of the start of a new segment. It is not
+% normally placed in the user's document. Rather, it is passed to
+% latex2html via a .ptr file written by \segment.
+%
+\newcommand{\htmlhead}[3][]{}
+
+% In the LaTeX2HTML version this will eliminate the title line
+% generated by a \segment command, but retains the title string
+% for use in other places.
+%
+\newcommand{\htmlnohead}{}
+
+
+% In the LaTeX2HTML version this put a URL into a <BASE> tag
+% within the <HEAD>...</HEAD> portion of a document.
+%
+\newcommand{\htmlbase}[1]{}
+%
+
+%
+% The dummy command \endpreamble is needed by latex2html to
+% mark the end of the preamble in document segments that do
+% not contain a \begin{document}
+%
+\newcommand{\startdocument}{}
+
+
+% \tableofchildlinks, \htmlinfo
+% by Ross Moore --- extensions dated 27 September 1997
+%
+% These do nothing in LaTeX but for LaTeX2HTML they mark
+% where the table of child-links and info-page should be placed,
+% when the user wants other than the default.
+% \tableofchildlinks % put mini-TOC at this location
+% \tableofchildlinks[off] % not on current page
+% \tableofchildlinks[none] % not on current and subsequent pages
+% \tableofchildlinks[on] % selectively on current page
+% \tableofchildlinks[all] % on current and all subsequent pages
+% \htmlinfo % put info-page at this location
+% \htmlinfo[off] % no info-page in current document
+% \htmlinfo[none] % no info-page in current document
+% *-versions omit the preceding <BR> tag.
+%
+\newcommand{\tableofchildlinks}{%
+ \@ifstar\tableofchildlinksstar\tableofchildlinksstar}
+\newcommand{\tableofchildlinksstar}[1][]{}
+
+\newcommand{\htmlinfo}{\@ifstar\htmlinfostar\htmlinfostar}
+\newcommand{\htmlinfostar}[1][]{}
+
+
+% This redefines \begin to allow for an optional argument
+% which is used by LaTeX2HTML to specify `style-sheet' information
+
+\let\realLaTeX@begin=\begin
+\renewcommand{\begin}[1][]{\realLaTeX@begin}
+
+
+%
+% Allocate a new set of section counters, which will get incremented
+% for "*" forms of sectioning commands, and for a few miscellaneous
+% commands.
+%
+
+\newcounter{lpart}
+\newcounter{lchapter}[part]
+\@ifundefined{c@chapter}%
+ {\let\Hchapter\relax \newcounter{lsection}[part]}%
+ {\let\Hchapter=\chapter \newcounter{lsection}[chapter]}
+\newcounter{lsubsection}[section]
+\newcounter{lsubsubsection}[subsection]
+\newcounter{lparagraph}[subsubsection]
+\newcounter{lsubparagraph}[paragraph]
+\newcounter{lequation}
+
+%
+% Redefine "*" forms of sectioning commands to increment their
+% respective counters.
+%
+\let\Hpart=\part
+%\let\Hchapter=\chapter
+\let\Hsection=\section
+\let\Hsubsection=\subsection
+\let\Hsubsubsection=\subsubsection
+\let\Hparagraph=\paragraph
+\let\Hsubparagraph=\subparagraph
+\let\Hsubsubparagraph=\subsubparagraph
+
+\ifx\c@subparagraph\undefined
+ \newcounter{lsubsubparagraph}[lsubparagraph]
+\else
+ \newcounter{lsubsubparagraph}[subparagraph]
+\fi
+
+%
+% The following definitions are specific to LaTeX2e:
+% (They must be commented out for LaTeX 2.09)
+%
+\renewcommand{\part}{\@ifstar{\stepcounter{lpart}%
+ \bgroup\def\tmp{*}\H@part}{\bgroup\def\tmp{}\H@part}}
+\newcommand{\H@part}[1][]{\def\tmp@a{#1}\check@align
+ \expandafter\egroup\expandafter\Hpart\tmp}
+
+\ifx\Hchapter\relax\else
+ \def\chapter{\resetsections \@ifstar{\stepcounter{lchapter}%
+ \bgroup\def\tmp{*}\H@chapter}{\bgroup\def\tmp{}\H@chapter}}\fi
+\newcommand{\H@chapter}[1][]{\def\tmp@a{#1}\check@align
+ \expandafter\egroup\expandafter\Hchapter\tmp}
+
+\renewcommand{\section}{\resetsubsections
+ \@ifstar{\stepcounter{lsection}\bgroup\def\tmp{*}%
+ \H@section}{\bgroup\def\tmp{}\H@section}}
+\newcommand{\H@section}[1][]{\def\tmp@a{#1}\check@align
+ \expandafter\egroup\expandafter\Hsection\tmp}
+
+\renewcommand{\subsection}{\resetsubsubsections
+ \@ifstar{\stepcounter{lsubsection}\bgroup\def\tmp{*}%
+ \H@subsection}{\bgroup\def\tmp{}\H@subsection}}
+\newcommand{\H@subsection}[1][]{\def\tmp@a{#1}\check@align
+ \expandafter\egroup\expandafter\Hsubsection\tmp}
+
+\renewcommand{\subsubsection}{\resetparagraphs
+ \@ifstar{\stepcounter{lsubsubsection}\bgroup\def\tmp{*}%
+ \H@subsubsection}{\bgroup\def\tmp{}\H@subsubsection}}
+\newcommand{\H@subsubsection}[1][]{\def\tmp@a{#1}\check@align
+ \expandafter\egroup\expandafter\Hsubsubsection\tmp}
+
+\renewcommand{\paragraph}{\resetsubparagraphs
+ \@ifstar{\stepcounter{lparagraph}\bgroup\def\tmp{*}%
+ \H@paragraph}{\bgroup\def\tmp{}\H@paragraph}}
+\newcommand\H@paragraph[1][]{\def\tmp@a{#1}\check@align
+ \expandafter\egroup\expandafter\Hparagraph\tmp}
+
+\renewcommand{\subparagraph}{\resetsubsubparagraphs
+ \@ifstar{\stepcounter{lsubparagraph}\bgroup\def\tmp{*}%
+ \H@subparagraph}{\bgroup\def\tmp{}\H@subparagraph}}
+\newcommand\H@subparagraph[1][]{\def\tmp@a{#1}\check@align
+ \expandafter\egroup\expandafter\Hsubparagraph\tmp}
+
+\ifx\Hsubsubparagraph\relax\else\@ifundefined{subsubparagraph}{}{%
+\def\subsubparagraph{%
+ \@ifstar{\stepcounter{lsubsubparagraph}\bgroup\def\tmp{*}%
+ \H@subsubparagraph}{\bgroup\def\tmp{}\H@subsubparagraph}}}\fi
+\newcommand\H@subsubparagraph[1][]{\def\tmp@a{#1}\check@align
+ \expandafter\egroup\expandafter\Hsubsubparagraph\tmp}
+
+\def\check@align{\def\empty{}\ifx\tmp@a\empty
+ \else\def\tmp@b{center}\ifx\tmp@a\tmp@b\let\tmp@a\empty
+ \else\def\tmp@b{left}\ifx\tmp@a\tmp@b\let\tmp@a\empty
+ \else\def\tmp@b{right}\ifx\tmp@a\tmp@b\let\tmp@a\empty
+ \else\expandafter\def\expandafter\tmp@a\expandafter{\expandafter[\tmp@a]}%
+ \fi\fi\fi \def\empty{}\ifx\tmp\empty\let\tmp=\tmp@a \else
+ \expandafter\def\expandafter\tmp\expandafter{\expandafter*\tmp@a}%
+ \fi\fi}
+%
+\def\resetsections{\setcounter{section}{0}\setcounter{lsection}{0}%
+ \reset@dependents{section}\resetsubsections }
+\def\resetsubsections{\setcounter{subsection}{0}\setcounter{lsubsection}{0}%
+ \reset@dependents{subsection}\resetsubsubsections }
+\def\resetsubsubsections{\setcounter{subsubsection}{0}\setcounter{lsubsubsection}{0}%
+ \reset@dependents{subsubsection}\resetparagraphs }
+%
+\def\resetparagraphs{\setcounter{lparagraph}{0}\setcounter{lparagraph}{0}%
+ \reset@dependents{paragraph}\resetsubparagraphs }
+\def\resetsubparagraphs{\ifx\c@subparagraph\undefined\else
+ \setcounter{subparagraph}{0}\fi \setcounter{lsubparagraph}{0}%
+ \reset@dependents{subparagraph}\resetsubsubparagraphs }
+\def\resetsubsubparagraphs{\ifx\c@subsubparagraph\undefined\else
+ \setcounter{subsubparagraph}{0}\fi \setcounter{lsubsubparagraph}{0}}
+%
+\def\reset@dependents#1{\begingroup\let \@elt \@stpelt
+ \csname cl@#1\endcsname\endgroup}
+%
+%
+% Define a helper macro to dump a single \secounter command to a file.
+%
+\newcommand{\DumpPtr}[2]{%
+\count255=\arabic{#1}\def\dummy{dummy}\def\tmp{#2}%
+\ifx\tmp\dummy\else\advance\count255 by \arabic{#2}\fi
+\immediate\write\ptrfile{%
+\noexpand\setcounter{#1}{\number\count255}}}
+
+%
+% Define a helper macro to dump all counters to the file.
+% The value for each counter will be the sum of the l-counter
+% actual LaTeX section counter.
+% Also dump an \htmlhead{section-command}{section title} command
+% to the file.
+%
+\newwrite\ptrfile
+\def\DumpCounters#1#2#3#4{%
+\begingroup\let\protect=\noexpand
+\immediate\openout\ptrfile = #1.ptr
+\DumpPtr{part}{lpart}%
+\ifx\Hchapter\relax\else\DumpPtr{chapter}{lchapter}\fi
+\DumpPtr{section}{lsection}%
+\DumpPtr{subsection}{lsubsection}%
+\DumpPtr{subsubsection}{lsubsubsection}%
+\DumpPtr{paragraph}{lparagraph}%
+\DumpPtr{subparagraph}{lsubparagraph}%
+\DumpPtr{equation}{lequation}%
+\DumpPtr{footnote}{dummy}%
+\def\tmp{#4}\ifx\tmp\@empty
+\immediate\write\ptrfile{\noexpand\htmlhead{#2}{#3}}\else
+\immediate\write\ptrfile{\noexpand\htmlhead[#4]{#2}{#3}}\fi
+\dumpcitestatus \dumpcurrentcolor
+\immediate\closeout\ptrfile
+\endgroup }
+
+
+%% interface to natbib.sty
+
+\def\dumpcitestatus{}
+\def\loadcitestatus{\def\dumpcitestatus{%
+ \ifciteindex\immediate\write\ptrfile{\noexpand\citeindextrue}%
+ \else\immediate\write\ptrfile{\noexpand\citeindexfalse}\fi }%
+}
+\@ifpackageloaded{natbib}{\loadcitestatus}{%
+ \AtBeginDocument{\@ifpackageloaded{natbib}{\loadcitestatus}{}}}
+
+
+%% interface to color.sty
+
+\def\dumpcurrentcolor{}
+\def\loadsegmentcolors{%
+ \let\real@pagecolor=\pagecolor
+ \let\pagecolor\segmentpagecolor
+ \let\segmentcolor\color
+ \ifx\current@page@color\undefined \def\current@page@color{{}}\fi
+ \def\dumpcurrentcolor{\bgroup\def\@empty@{{}}%
+ \expandafter\def\expandafter\tmp\space####1@{\def\thiscol{####1}}%
+ \ifx\current@color\@empty@\def\thiscol{}\else
+ \expandafter\tmp\current@color @\fi
+ \immediate\write\ptrfile{\noexpand\segmentcolor{\thiscol}}%
+ \ifx\current@page@color\@empty@\def\thiscol{}\else
+ \expandafter\tmp\current@page@color @\fi
+ \immediate\write\ptrfile{\noexpand\segmentpagecolor{\thiscol}}%
+ \egroup}%
+ \global\let\loadsegmentcolors=\relax
+}
+
+% These macros are needed within images.tex since this inputs
+% the <segment>.ptr files for a segment, so that counters are
+% colors are synchronised.
+%
+\newcommand{\segmentpagecolor}[1][]{%
+ \@ifpackageloaded{color}{\loadsegmentcolors\bgroup
+ \def\tmp{#1}\ifx\@empty\tmp\def\next{[]}\else\def\next{[#1]}\fi
+ \expandafter\segmentpagecolor@\next}%
+ {\@gobble}}
+\def\segmentpagecolor@[#1]#2{\def\tmp{#1}\def\tmpB{#2}%
+ \ifx\tmpB\@empty\let\next=\egroup
+ \else
+ \let\realendgroup=\endgroup
+ \def\endgroup{\edef\next{\noexpand\realendgroup
+ \def\noexpand\current@page@color{\current@color}}\next}%
+ \ifx\tmp\@empty\real@pagecolor{#2}\def\model{}%
+ \else\real@pagecolor[#1]{#2}\def\model{[#1]}%
+ \fi
+ \edef\next{\egroup\def\noexpand\current@page@color{\current@page@color}%
+ \noexpand\real@pagecolor\model{#2}}%
+ \fi\next}
+%
+\newcommand{\segmentcolor}[2][named]{\@ifpackageloaded{color}%
+ {\loadsegmentcolors\segmentcolor[#1]{#2}}{}}
+
+\@ifpackageloaded{color}{\loadsegmentcolors}{\let\real@pagecolor=\@gobble
+ \AtBeginDocument{\@ifpackageloaded{color}{\loadsegmentcolors}{}}}
+
+
+% Define the \segment[align]{file}{section-command}{section-title} command,
+% and its helper macros. This command does four things:
+% 1) Begins a new LaTeX section;
+% 2) Writes a list of section counters to file.ptr, each
+% of which represents the sum of the LaTeX section
+% counters, and the l-counters, defined above;
+% 3) Write an \htmlhead{section-title} command to file.ptr;
+% 4) Inputs file.tex.
+
+\def\segment{\@ifstar{\@@htmls}{\@@html}}
+\def\endsegment{}
+\newcommand{\@@htmls}[1][]{\@@htmlsx{#1}}
+\newcommand{\@@html}[1][]{\@@htmlx{#1}}
+\def\@@htmlsx#1#2#3#4{\csname #3\endcsname* {#4}%
+ \DumpCounters{#2}{#3*}{#4}{#1}\input{#2}}
+\def\@@htmlx#1#2#3#4{\csname #3\endcsname {#4}%
+ \DumpCounters{#2}{#3}{#4}{#1}\input{#2}}
+
+\makeatother
+\endinput
+
+
+% Modifications:
+%
+% (The listing of Initiales see Changes)
+
+% $Log: html.sty,v $
+% Revision 1.23 1998/02/26 10:32:24 latex2html
+% -- use \providecommand for \latextohtml
+% -- implemented \HTMLcode to do what \HTML did previously
+% \HTML still works, unless already defined by another package
+% -- fixed problems remaining with undefined \chapter
+% -- defined \endsegment
+%
+% Revision 1.22 1997/12/05 11:38:18 RRM
+% -- implemented an optional argument to \begin for style-sheet info.
+% -- modified use of an optional argument with sectioning-commands
+%
+% Revision 1.21 1997/11/05 10:28:56 RRM
+% -- replaced redefinition of \@htmlrule with \htmlrulestar
+%
+% Revision 1.20 1997/10/28 02:15:58 RRM
+% -- altered the way some special html-macros are defined, so that
+% star-variants are explicitly defined for LaTeX
+% -- it is possible for these to occur within images.tex
+% e.g. \htmlinfostar \htmlrulestar \tableofchildlinksstar
+%
+% Revision 1.19 1997/10/11 05:47:48 RRM
+% -- allow the dummy {tex2html_nowrap} environment in LaTeX
+% use it to make its contents be evaluated in environment order
+%
+% Revision 1.18 1997/10/04 06:56:50 RRM
+% -- uses Robin Fairbairns' code for ignored environments,
+% replacing the previous comment.sty stuff.
+% -- extensions to the \tableofchildlinks command
+% -- extensions to the \htmlinfo command
+%
+% Revision 1.17 1997/07/08 11:23:39 RRM
+% include value of footnote counter in .ptr files for segments
+%
+% Revision 1.16 1997/07/03 08:56:34 RRM
+% use \textup within the \latextohtml macro
+%
+% Revision 1.15 1997/06/15 10:24:58 RRM
+% new command \htmltracenv as environment-ordered \htmltracing
+%
+% Revision 1.14 1997/06/06 10:30:37 RRM
+% - new command: \htmlborder puts environment into a <TABLE> cell
+% with a border of specified width, + other attributes.
+% - new commands: \HTML for setting arbitrary HTML tags, with attributes
+% \HTMLset for setting Perl variables, while processing
+% \HTMLsetenv same as \HTMLset , but it gets processed
+% as if it were an environment.
+% - new command: \latextohtml --- to set the LaTeX2HTML name/logo
+% - fixed some remaining problems with \segmentcolor & \segmentpagecolor
+%
+% Revision 1.13 1997/05/19 13:55:46 RRM
+% alterations and extra options to \hypercite
+%
+% Revision 1.12 1997/05/09 12:28:39 RRM
+% - Added the optional argument to \htmlhead, also in \DumpCounters
+% - Implemented \HTMLset as a no-op in LaTeX.
+% - Fixed a bug in accessing the page@color settings.
+%
+% Revision 1.11 1997/03/26 09:32:40 RRM
+% - Implements LaTeX versions of \externalcite and \hypercite commands.
+% Thanks to Uffe Engberg and Stephen Simpson for the suggestions.
+%
+% Revision 1.10 1997/03/06 07:37:58 RRM
+% Added the \htmltracing command, for altering $VERBOSITY .
+%
+% Revision 1.9 1997/02/17 02:26:26 RRM
+% - changes to counter handling (RRM)
+% - shuffled around some definitions
+% - changed \htmlrule of 209 mode
+%
+% Revision 1.8 1997/01/26 09:04:12 RRM
+% RRM: added optional argument to sectioning commands
+% \htmlbase sets the <BASE HREF=...> tag
+% \htmlinfo and \htmlinfo* allow the document info to be positioned
+%
+% Revision 1.7 1997/01/03 12:15:44 L2HADMIN
+% % - fixes to the color and natbib interfaces
+% % - extended usage of \hyperref, via an optional argument.
+% % - extended use comment environments to allow shifting expansions
+% % e.g. within \multicolumn (`bug' reported by Luc De Coninck).
+% % - allow optional argument to: \htmlimage, \htmlhead,
+% % \htmladdimg, \htmladdnormallink, \htmladdnormallinkfoot
+% % - added new commands: \htmlbody, \htmlnohead
+% % - added new command: \tableofchildlinks
+%
+% Revision 1.6 1996/12/25 03:04:54 JCL
+% added patches to segment feature from Martin Wilck
+%
+% Revision 1.5 1996/12/23 01:48:06 JCL
+% o introduced the environment makeimage, which may be used to force
+% LaTeX2HTML to generate an image from the contents.
+% There's no magic, all what we have now is a defined empty environment
+% which LaTeX2HTML will not recognize and thus pass it to images.tex.
+% o provided \protect to the \htmlrule commands to allow for usage
+% within captions.
+%
+% Revision 1.4 1996/12/21 19:59:22 JCL
+% - shuffled some entries
+% - added \latexhtml command
+%
+% Revision 1.3 1996/12/21 12:22:59 JCL
+% removed duplicate \htmlrule, changed \htmlrule back not to create a \hrule
+% to allow occurrence in caption
+%
+% Revision 1.2 1996/12/20 04:03:41 JCL
+% changed occurrence of \makeatletter, \makeatother
+% added new \htmlrule command both for the LaTeX2.09 and LaTeX2e
+% sections
+%
+%
+% jcl 30-SEP-96
+% - Stuck the commands commonly used by both LaTeX versions to the top,
+% added a check which stops input or reads further if the document
+% makes use of LaTeX2e.
+% - Introduced rrm's \dumpcurrentcolor and \bodytext
+% hws 31-JAN-96 - Added support for document segmentation
+% hws 10-OCT-95 - Added \htmlrule command
+% jz 22-APR-94 - Added support for htmlref
+% nd - Created
diff --git a/doc/user_guide/installation.tex b/doc/user_guide/installation.tex
new file mode 100644
index 0000000000000000000000000000000000000000..a74b65d51aad35126a7afa2853de133e0bc8c48f
--- /dev/null
+++ b/doc/user_guide/installation.tex
@@ -0,0 +1,545 @@
+\input{header}
+
+\chapter{Build and Installation}
+\label{chp:installation}
+\opal and all its flavors are based on several packages which are all installable using \texttt{cmake} or the configure-make-install trilogy. \\ \\
+\opal is also preinstalled on several HPC clusters including the Merlin cluster at PSI. The preinstalled version can be accessed
+using the module command:
+\begin{footnotesize}
+\begin{example}
+module load opal
+\end{example}
+\end{footnotesize}
+Due to some incompatibilities, between the Intel compiler and the Gnu libraries, you have to use GCC 4.5 in combination with Intel 12.1. Next we describe
+the installation process for the GNU 4.6.3 compiler.
+\section{Build and install \opal on a Mac \& Linux}
+\subsection{Supporting Libraries}
+Several libraries and tools must be present before starting with the actual \opal installation process described in \seesec{instmacclop}.
+The following packages are maybe already installed. Please check the versions carefully and do not use older ones. For a Linux installation
+you can skip \texttt{macport} and \texttt{Xcode} related software.
+\begin{itemize}
+\item macport from \url{https://www.macports.org}
+\item Xcode \url{https://developer.apple.com/xcode/}
+\item automake-1.10.2
+\item autoconf-2.64
+\item libtool-2.2
+\item cmake-2.8.4
+\end {itemize}
+
+
+\subsection{Environment Variables}
+\label{ssec:envvar}
+Assuming \opal resides in \filename{\$HOME/svnwork}, the following
+environment variables must be set accordingly:
+\begin{footnotesize}
+\begin{example}
+export OPAL_ROOT=$HOME/svnwork/OPAL/
+export CLASSIC_ROOT=$OPAL_ROOT/classic/5.0/
+\end{example}
+\end{footnotesize}
+
+
+\subsubsection{Build/Install gcc (4.6.3) Mac}
+
+\begin{footnotesize}
+\begin{example}
+sudo port install gcc46
+\end{example}
+\end{footnotesize}
+
+\subsubsection{Build/Install gsl (1.14) Mac}
+\begin{footnotesize}
+\begin{example}
+sudo port install gsl
+\end{example}
+\end{footnotesize}
+
+\subsubsection{Build/Install OpenMPI (openmpi-1.4.3) Mac \& Linux}
+\begin{footnotesize}
+\begin{example}
+CC=gcc CXX=g++ F77=gfortran ./configure
+\end{example}
+\end{footnotesize}
+
+\subsubsection{Build/Install HDF5 1.8.7 Mac \& Linux}
+\begin{footnotesize}
+\begin{example}
+./configure --enable-parallel --prefix=/usr/local
+
+Libraries have been installed in:
+ /usr/local/lib
+
+If you ever happen to want to link against installed libraries
+in a given directory, LIBDIR, you must either use libtool, and
+specify the full path name of the library, or use the `-LLIBDIR'
+flag during linking and do at least one of the following:
+ - add LIBDIR to the `DYLD_LIBRARY_PATH' environment variable
+ during execution
+
+See any operating system documentation about shared libraries
+for more information, such as the ld(1) and ld.so(8) manual
+pages.
+\end{example}
+\end{footnotesize}
+
+\subsubsection{H5hut (1.99.12) Mac \& Linux}
+The tarball can be found at:
+\begin{center}
+%\url{svn+ssh://savannah02.psi.ch/repos/H5hut/src/tags/1.99.11}
+\url{amas.psi.ch/H5hut/wiki/H5hutDownload}
+\end{center}
+Now we can build and install the package:
+\begin{footnotesize}
+\begin{example}
+./autogen.sh
+./configure --enable-parallel --prefix=prefixdir
+make
+make install
+\end{example}
+\end{footnotesize}
+Add to your \filename{.bashrc}:
+\begin{footnotesize}
+\begin{example}
+export C_INCLUDE_PATH=prefixdir/include:$C_INCLUDE_PATH
+export CPLUS_INCLUDE_PATH=prefixdir/include:$CPLUS_INCLUDE_PATH
+export LIBRARY_PATH=prefixdirlib:$LIBRARY_PATH
+export LD_LIBRARY_PATH=prefixdir/lib:$LD_LIBRARY_PATH
+\end{example}
+\end{footnotesize}
+
+With gitorius:
+\begin{enumerate}
+\item Login to \texttt{gitorious.psi.ch} with your PSI username/password
+\item upload your public key(s)
+\item clone repo: \texttt{git clone git@gitorious.psi.ch:h5hut/src.git}
+\end{enumerate}
+
+\subsection{Installing \opal} \label{sec:instmacclop}
+The following svn checkout \footnote{If you can not checkout the sources
+send an email to \url{andreas.adelmann@psi.ch}.}
+\begin{footnotesize}
+\begin{example}
+cd $OPAL_ROOT
+svn+ssh://savannah02.psi.ch/repos/opal/src .
+\end{example}
+\end{footnotesize}
+\begin{center}
+\end{center}
+will get you the trunk of the repository. Now install \opal \footnote{We encountered in some cases a problem when the build
+directory is under \texttt{\$OPAL\_ROOT}}
+\begin{footnotesize}
+\begin{example}
+mkdir build
+cd build
+CXX=mpicxx cmake -DCMAKE_BUILD_TYPE=RELEASE $OPAL_ROOT
+\end{example}
+Use \texttt{-DCMAKE\_BUILD\_TYPE=DEBUG} to enable \texttt{-g}.
+\end{footnotesize}
+
+\section{Cray XE6 Installation -- outdated} \label{sec:crayXE6}
+These notes are for installing \opal on \texttt{Hopper} at the National Energy Research
+Scientific Computing Center (NERSC). NERSC is an open science computing center sponsored by the
+U.S. Department of Energy and located at Lawrence Berkeley National Laboratory (LBL). \texttt{Hopper} is
+a Cray XE6 system and, at the time of this writing, is their premier super computer.
+
+The instructions below work, but you may want to modify them depending on where you prefer various
+codes and libraries to be located or if you are on a similar Cray system.
+
+\subsection{.bash\_profile.ext File}
+Edit the \filename{.bash\_profile.ext} file in your home directory. Add the following lines.
+\begin{example}
+if [ $NERSC_HOST == "hopper" ]
+then
+ export PATH=$PATH:$HOME/hopper/bin
+ # Module files.
+ module load cmake
+ module load gsl
+ module load hdf5-parallel
+ module load zlib
+ module swap PrgEnv-pgi PrgEnv-gnu
+fi
+
+source $HOME/.bashrc
+\end{example}
+
+\subsection{.bashrc.ext File}
+Edit the \filename{.bashrc.ext} file in your home directory. Add the following lines.
+\begin{example}
+if [ $NERSC_HOST == "hopper" ]
+then
+ # For OPAL.
+ export HDF5_INCLUDE_PATH=$CRAY_HDF5_DIR/hdf5-parallel-gnu/include
+ export HDF5_LIBRARY_PATH=$CRAY_HDF5_DIR/hdf5-parallel-gnu/lib
+ export H5hut=$HOME/hopper/extlib/H5hut-1.99.11
+ export GSL_PREFIX=$GSL_DIR
+ export OPAL_ROOT=$HOME/svnwork/OPAL
+ export CLASSIC_ROOT=$OPAL_ROOT/classic/5.0
+fi
+\end{example}
+These environment variables need to be set so we can build \opal. When you are done,
+issue the command:
+\begin{example}
+source $HOME/.bash_profile
+\end{example}
+
+\subsection{OPAL}
+To install \opal you will need to perform the following steps:
+\begin{enumerate}
+\item Install \textsc{H5hut}.
+\item Install \opal.
+\end{enumerate}
+
+\subsubsection{Install H5hut}
+
+\begin{enumerate}
+\item \verb+mkdir -p hopper/extlib+
+\item \verb+mkdir svnwork+
+\item \verb+cd $HOME/svnwork+
+\item Get the source code:
+
+\begin{example}
+\url{svn+ssh://savannah02.psi.ch/repos/H5hut/src/tags/1.99.11 H5hut-1.99.11}
+\end{example}
+\item \verb+cd H5hut-1.99.11+
+\item \verb+./autogen.h+
+\begin{example}
+export HDF5ROOT=$CRAY_HDF5_DIR/hdf5-parallel-gnu
+\end{example}
+\item
+\begin{example}
+./configure --prefix=$HOME/hopper/extlib/H5hut-1.99.9 \
+ --enable-parallel CFLAGS=-std=c99 CC=cc
+\end{example}
+\item \verb+make+
+\item \verb+make install+
+\end{enumerate}
+
+With gitorius:
+\begin{enumerate}
+\item Login to \texttt{gitorious.psi.ch} with your PSI username/password
+\item upload your public key(s)
+\item clone repo: \texttt{git clone git@gitorious.psi.ch:h5hut/src.git}
+\end{enumerate}
+
+\subsubsection{Install OPAL}
+
+\begin{enumerate}
+\item \verb+cd+
+\item \verb+cd svnwork+
+\item Get the source code:
+\begin{example}
+svn co --username username \
+ svn+ssh://savannah02.psi.ch/repos/opal/src OPAL
+\end{example}
+\item
+\begin{example}
+cd $OPAL\_ROOT
+\end{example}
+\item
+\begin{example}
+CXX=CC cmake $OPAL_ROOT
+\end{example}
+\item \verb+make\verb+
+\item
+\begin{example}
+mkdir $HOME/hopper/bin
+\end{example}
+\item
+\begin{example}
+cp src/opal $HOME/hopper/bin
+\end{example}
+\end{enumerate}
+
+\section{Build unit tests} \label{chp:unittest}
+Some portions of \opal can be tested using \emph{unit tests}. Unit tests are implemented to ensure that a particular unit e.g. a function or class works as intended. \opal uses the google testing \emph{gtest} framework to support unit tests. Documentation can be found at \url{https://code.google.com/p/googletest/w/list}.
+
+The \opal unit tests are by default not built. To build the unit tests, first gtest must be installed.
+
+\begin{example}
+cd ${OPAL_ROOT}/tests/tools
+bash install_gtest.bash
+\end{example}
+
+This will check that you have the required packages to build gtest, download the gtest source code from the google website and attempt to build it.
+
+Next modify the cmake files to flag that the unit tests need to be built.
+\begin{example}
+cd ${OPAL_BUILD_ROOT}/
+cmake -DBUILD_OPAL_UNIT_TESTS=1
+make
+\end{example}
+If all goes well, the unit tests should build. To execute the tests, do
+\begin{example}
+cd ${OPAL_BUILD_ROOT}/
+./tests/opal_unit_tests
+\end{example}
+You should get output that looks like e.g.
+\begin{example}
+[==========] Running 47 tests from 8 test cases.
+[----------] Global test environment set-up.
+[----------] 6 tests from OpalRingSectionTest
+[ RUN ] OpalRingSectionTest.TestConstructDestruct
+[ OK ] OpalRingSectionTest.TestConstructDestruct (0 ms)
+<snip>
+[ RUN ] PolynomialTimeDependenceTest.TDMapNameLookupTest
+[ OK ] PolynomialTimeDependenceTest.TDMapNameLookupTest (0 ms)
+[----------] 3 tests from PolynomialTimeDependenceTest (0 ms total)
+
+[----------] Global test environment tear-down
+[==========] 47 tests from 8 test cases ran. (25 ms total)
+[ PASSED ] 47 tests.
+
+ YOU HAVE 1 DISABLED TEST
+\end{example}
+If the output does not end in PASSED then something failed. Review the test output to find the test failure.
+
+\subsubsection{Adding a unit test}
+To add a unit test to the \opal framework, either edit an existing file or add a new file. In general, there should be one unit test per pair of header, source files. The directory structure reflects \opal directory structure. Source code that is in \verb|${OPAL_ROOT}/classic/5.0/src/<dir>/<Filename.h,cpp>| should have corresponding unit test files in \verb|${OPAL_ROOT}/src/unit_tests/classic_src/<dir>/<FilenameTest.cpp>|. Source code that is in \verb|${OPAL_ROOT}/src/<dir>/<Filename.h,cpp>| should have corresponding unit test files in \verb|${OPAL_ROOT}/src/unit_tests/opal_src/<dir>/<FilenameTest.cpp>|. To update the list of files used by cmake, do
+\begin{example}
+touch ${OPAL_ROOT}/CMakeLists.txt
+\end{example}
+Then run \verb|make| as usual.
+
+\section{Using pre-build Binaries}
+Pre-build binaries are available for SL Linux and Mac OS X at the following download page: \url{https://amas.psi.ch/OPAL/wiki/Downloads}.
+
+\section{Enabling the Iterative Solvers for Space-Charge Calculation}
+
+Iterative solvers are used to solve the Poisson's equation for the electrostatic potential
+on three-dimensional domains \cite{Adelmann:2009p543}.
+The multigrid preconditioner and iterative solver are implemented using Trilinos framework. It is essential to install
+Trilinos software framework to use the iterative solvers in \opal.
+
+Trilinos is also preinstalled on several HPC clusters including the Merlin cluster at PSI. The preinstalled version can be accessed
+using the module command:
+\begin{footnotesize}
+\begin{example}
+module load trilinos
+\end{example}
+\end{footnotesize}
+
+{\bf Please note:} The Multigrid space charge solver is not yet capable of emitting a beam from the cathode. You are advised to use the FFT space charge solver for studies with particle emission.
+
+\subsubsection{Trilinos Package}
+If Trilinos version ($>$11.0) is not available on your system, download it from the Trilinos webpage
+{\url {http://trilinos.sandia.gov/download}}
+\footnote{\url{http://trilinos.sandia.gov}}. CMake build system is used to configure, build and install
+Trilinos. Instructions for building Trilinos is available in \\
+{\url {http://trilinos.sandia.gov/TrilinosBuildQuickRef.html}}
+
+To build {\opal} with {SAAMG\_SOLVER} or {AMR\_SOLVER}, Trilinos packages, which are needed to be enabled are:
+\begin{itemize}
+ \item epetra and epetraext
+ \item ml and ml\_parmetis3x
+ \item amesos and amesos-superludist
+ \item ifpack
+ \item teuchos and teuchos-extended
+ \item aztecco and aztecoo-teuchos
+ \item galeri
+ \item belos
+\end{itemize}
+and Third-Party Library (TPL) support
+ \begin{itemize}
+ \item ParMETIS (\texttt{-D TPL\_ENABLE\_ParMETIS:BOOL=ON})
+ \item BLAS (\texttt{-D TPL\_ENABLE\_BLAS:BOOL=ON})
+ \item LAPACK (\texttt{-D TPL\_ENABLE\_LAPACK:BOOL=ON})
+ \item MPI (\texttt{-D TPL\_ENABLE\_MPI:BOOL=ON })
+\end{itemize}
+To enable a given TPL, the path to this package's header include and library directories should be specified
+when building Trilinos. The TPL libraries such as \filename{libparmetis.a libmetis.a libblas.a liblapacke.a liblapack.a} are needed
+to use MultiGrid (SAAMG) and Adaptive Mesh Refinement (AMR) solvers.
+
+\subsection{Environment Variables}
+\label{ssec:envvar_MG}
+
+Assuming Trilinos package is installed in \texttt{\$TRILINOS\_PREFIX} then the following environment variables must be set accordingly.
+
+\texttt{TRILINOS\_DIR} should point the path to the base installation directory of Trilinos
+
+\texttt{TRILINOS\_INCLUDE\_DIR} should point the path to Trilinos' include directory
+
+\texttt{TRILINOS\_LIBRARY\_DIR} should point the path to Trilinos' library directory
+
+If you are using preinstalled version of Trilinos on Merlin cluster at PSI, the environment variables
+are automatically set so you don't have to set these yourself.
+
+\begin{footnotesize}
+\begin{example}
+export TRILINOS_DIR=$TRILINOS_PREFIX
+export TRILINOS_INCLUDE_DIR=$TRILINOS_DIR/include
+export TRILINOS_LIBRARY_DIR=$TRILINOS_DIR/lib
+\end{example}
+\end{footnotesize}
+
+\subsection{Build \opal with SAAMG\_SOLVER enabled}
+You can enable the solver with\\ \texttt{-DENABLE\_SAAMG\_SOLVER=TRUE} using cmake
+and make sure the environment variables \ssecref{envvar_MG}
+are set up already before {\opal} installation.
+
+\begin{footnotesize}
+\begin{example}
+cd $OPAL_ROOT
+mkdir build
+cd build
+cmake -DENABLE_SAAMG_SOLVER=TRUE $OPAL_ROOT
+make
+\end{example}
+\end{footnotesize}
+
+Notes:
+The members should appear in the initializer list in the same order as they
+appear in the class or turn -Wno-reorder.
+C++11 language features are available in gcc 4.3 and later versions. To enable
+this support, add \texttt{-std=c++0x} to your command line if you are using gcc 4.6
+OR \texttt{-std=c++11} if you are using gcc 4.7 and later.
+\externalref{
+The following packages must be pre-installed: \texttt{mkl-10.0\_em64t, parmetis, SuperLUDist}.
+
+If using CMake you can enable the solver with\\
+\texttt{cmake -D ENABLE\_SAAMG\_SOLVER=TRUE \$OPAL\_ROOT} and make sure the \texttt{TRILINOS\_INCLUDE\_PATH} environment variable points to the directory containing the Trilinos header files.
+}
+
+\subsection{Build \opal with AMR\_SOLVER enabled}
+{\bf BoxLib} \footnote{\url{https://ccse.lbl.gov/BoxLib}} software framework is used in \opal to add the adaptive mesh refinement (AMR) technique.
+You can enable AMR solver with\\ \texttt{-DENABLE\_AMR\_SOLVER=TRUE} using cmake. Please make sure the following
+environment variables are set and CCSE\_INCLUDE\_DIRS and CCSE\_LIB\_DIR point the path to the include and library directories
+of BoxLib.
+
+\begin{footnotesize}
+\begin{example}
+export BOXLIB_HOME=$HOME/svnwork/BoxLib
+export BOXLIB_INSTALL_PREFIX=$BOXLIB_HOME/Build
+export CCSE_INCLUDE_DIRS=$BOXLIB_INSTALL_PREFIX/include
+export CCSE_LIBRARY_DIR=$BOXLIB_INSTALL_PREFIX/lib
+\end{example}
+ \label{ssec:envvar_AMR}
+\end{footnotesize}
+
+
+\begin{footnotesize}
+\begin{example}
+cd $OPAL_ROOT
+mkdir build
+cd build
+cmake -DENABLE_AMR_SOLVER=TRUE $OPAL_ROOT
+make
+\end{example}
+\end{footnotesize}
+
+Notes:
+The members should appear in the initializer list in the same order as they
+appear in the class or turn -Wno-reorder.
+
+\externalref{
+The following packages must be pre-installed: \texttt{xxx}.
+}
+
+\subsubsection{BoxLib Package}
+\label{ssubsection:BoxLibBuild}
+
+You can download BoxLib from the LBNL CCSE server by typing the following command {\rm git clone}
+\begin{footnotesize}
+\begin{example}
+cd $HOME/svnwork
+git clone https://ccse.lbl.gov/pub/Downloads/BoxLib.git
+\end{example}
+\end{footnotesize}
+
+BoxLib based code designed to run in parallel using MPI, check the following environment variable
+before start building BoxLib.
+\begin{example}
+export BOXLIB_HOME=$HOME/svnwork/BoxLib
+export BOXLIB_INSTALL_PREFIX=$BOXLIB_HOME/Build
+export MPIHOME=/opt/openmpi/1.4.5/gcc-mp/4.7
+\end{example}
+
+Build and install as follows:
+\begin{footnotesize}
+\begin{example}
+cd BoxLib
+mkdir Build
+cmake -DBL_SPACEDIM=3 -DENABLE_MPI=1 -DENABLE_OpenMP=0 -DBL_USE_PARTICLES=1
+ -DCMAKE_INSTALL_PREFIX=$BOXLIB_INSTALL_PREFIX $BOXLIB_HOME
+make
+make install
+export CCSE_INCLUDE_DIRS=$BOXLIB_INSTALL_PREFIX/include
+export CCSE_LIBRARY_DIR=$BOXLIB_INSTALL_PREFIX/lib
+\end{example}
+\end{footnotesize}
+Now you are ready to build \opal with AMR support.
+
+\section{Debug Flags}\label{sec:debugflags}
+
+\begin{table}[ht]\footnotesize
+ \begin{center}
+ \caption{Debug flags.}
+ \label{tbl:debug_flags}
+ \begin{tabular}{lll}
+ \hline
+ \tabhead{Name & Description & Default}
+ \hline
+ DBG\_SCALARFIELD & dumps scalar potential on the grid & not set \\
+ DBG\_STENCIL & dumps stencil (SAAMG solver) to a Matlab readable file & not set \\
+ DBG\_CSR & dump information regarding the 1D CSR calculation & not set \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\paragraph{DBG\_SCALARFIELD} dumps the field to a file called rho\_scalar. The structure of the data can be deduced from the following Matlab script:
+
+\begin{footnotesize}
+\begin{example}
+function scalfield(RHO)
+
+rhosize=size(RHO)
+for i=1:rhosize(1)
+ x = RHO(i,1);
+ y = RHO(i,2);
+ z = RHO(i,3);
+ rhoyz(y,z) = RHO(i,4);
+ rhoxy(x,y) = RHO(i,4);
+ rhoxz(x,z) = RHO(i,4);
+ rho(x,y,z) = RHO(i,4);
+end
+\end{example}
+\end{footnotesize}
+
+\paragraph{DBG\_STENCIL} dumps the discretization stencil to a file (A.dat). The following Matlab code will read and store the sparse matrix in the variable 'A'.
+
+\begin{footnotesize}
+\begin{example}
+load A.dat;
+A = spconvert(A);
+\end{example}
+\end{footnotesize}
+
+\paragraph{DBG\_CSR} dumps a text file of the calculated, 1D CSR field. The first line gives the average position of the beam bunch.
+Subsequent lines list $z$ position of longitudinal mesh (with respect to the head of the beam bunch), $E_z$, line density and the derivative of the line density. Note that currently the line density derivative needs to be scaled by the inverse of the mesh spacing to get the correct value. The CSR field
+is dumped at each time step of the calculation. Each text file is named "Bend Name" (from input file) + "-CSRWake" + "time step number in that bend
+(starting from 1)" + ".txt".
+
+\section{\opal~as a Library}
+An \opal~library can be build by specifying \texttt{-DBUILD\_LIBOPAL} in the cmake process. The \opal~library is currently used in the opt-pilot, a multi-objective
+optimization package \cite{bib:optpilot1}.
+
+\section{Emacs Mode for \opal}
+An opal-mode for emacs is provided to get highlighted input files. To use it the user should make the directory \filename{\$HOME/.emacs.d/opal} and copy the file \filename{opal.el} there. Then the following lines
+\begin{footnotesize}
+\begin{example}
+(add-to-list 'load-path "~/.emacs.d/opal")
+(autoload 'opal-mode "opal.el" "Enter opal mode" t)
+(setq auto-mode-alist (append '(("\\.opal\$" . opal-mode)) auto-mode-alist))
+(setq auto-mode-alist (append '(("\\.in\$" . opal-mode)) auto-mode-alist))
+\end{example}
+\end{footnotesize}
+should be added to the emacs configuration file \filename{\$HOME/.emacs}. In case your input file has the extensions \filename{.opal} or \filename{.in} you will enjoy highlighted
+keywords, constants etc.
+
+\section{Examples}
+When checking out the \opal framework you will find the \emph{tests} directory and moreover
+a sub-directory called \emph{RegressionTests}. There several input files can be found which are
+run every day to check the validity of the current version of \opal. This is a good starting-point to learn how to
+model accelerators with the various flavors of \opal. More examples will be given in subsequent chapters, enjoy!
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/introduction.tex b/doc/user_guide/introduction.tex
new file mode 100644
index 0000000000000000000000000000000000000000..cb851377ea7e528f9ddda684fef49f07a0815c23
--- /dev/null
+++ b/doc/user_guide/introduction.tex
@@ -0,0 +1,248 @@
+\input{header}
+
+\setcounter{page}{1}
+
+\chapter{Introduction}\label{chp:Introduction}
+
+\section{Aim of \opal and History}
+\opal is a tool for charged-particle optics in
+accelerator structures and beam lines.
+Using the \mad language with extensions, \opal is derived from \madninep and is based
+on the \classic \cite{bib:classic} class library, which was started in 1995 by an international
+collaboration. IPPL (Independent Parallel Particle Layer) is
+the framework which provides parallel particles and fields using data parallel approach.
+\opal is built from the ground up as a parallel application exemplifying the fact that HPC (High Performance Computing)
+is the third leg of science, complementing theory and the experiment.
+HPC is made possible now through the increasingly sophisticated mathematical models and evolving computer power available on the desktop
+and in super computer centers. \opal runs on your laptop as well as on the largest HPC clusters available today.
+
+The \opal framework makes it easy to add new features in the form of new
+\texttt{C++}~classes.
+
+\opal comes in the following flavors:
+\begin{itemize}
+\ifthenelse{\boolean{ShowMap}}{
+\item \opalmap
+}{}
+\item \opalcycl
+\item \opalt
+\ifthenelse{\boolean{ShowEnv}}{
+\item \opalenv
+}{}
+\end{itemize}
+
+\ifthenelse{\boolean{ShowMap}}{
+\opalmap tracks particles with 3D space charge using split operator techniques, and is a proper subset of \madninep. In the future
+a linear space charge mode will become available
+allowing the user to track moments of the distribution.
+}{}
+
+\opalcycl tracks particles with 3D space charge including neighboring turns in cyclotrons
+with time as the independent variable.
+
+\opalt is a super-set of \impactt \cite{qiang2005} and can be used to model guns, injectors, ERL's and complete XFEL's excluding the undulator.
+
+\ifthenelse{\boolean{ShowMap}}{
+It should be noted that not all features of \opal are available in all flavors.\\ The following icon \noopalt means that a feature is not yet
+available in \opalt. Similar icons are used for the other flavors.
+}{
+It should be noted that not all features of \opal are available in both flavors.\\ The following icon \noopalt means that a feature is not yet
+available in \opalt. A similar icon is used for \opalcycl.
+}
+\section{Parallel Processing Capabilities}
+\opal is built to harness the power of parallel processing for an improved quantitative understanding
+of particle accelerators.
+This goal can only be achieved with
+detailed 3D modelling capabilities and a sufficient number of simulation particles to obtain meaningful statistics on various
+quantities of the particle ensemble such as emittance, slice emittance, halo extension etc.
+
+The following example is exemplifying this fact:
+
+
+
+%======================TABLE=============================
+\begin{table}[!htb]
+\caption[]{Parameters Parallel Performance Example}
+\begin{tabular*}{\columnwidth}{@{\extracolsep{\fill}}lrrrr}
+%\toprule
+\hline
+ \tabhead{Distribution & Particles & Mesh & Greens Function & Time steps}
+% \midrule
+\hline
+ Gauss 3D & $10^8$ & $1024^3$ & Integrated & 10 \\
+\hline
+%\bottomrule
+\end{tabular*}
+\label{tab:pex1}
+\end{table}
+%=====================TABLE===============================
+
+\figref{walldrift} shows the parallel efficiency time as a function of used cores for a test example with parameters given in \tabref{pex1}. The data where obtained on a Cray XT5 at the Swiss Center for Scientific Computing.
+
+%======================FIGURE===============================
+\begin{figure}[!htb]
+\centering
+\includegraphics[width=0.75\textwidth]{figures/drift2c1}
+\caption{Parallel efficiency and particles pushed per \si{\micro\second} as a function of cores}
+\label{fig:walldrift}
+\end{figure}
+%===========================================================
+
+\section{Quality Management}
+Documentation and quality assurance are given our highest attention since we are convinced that adequate documentation
+is a key factor in the usefulness of a code like \opal to study present and future particle accelerators.
+ Using tools such as a source code version
+control system (\href{https://git-scm.com}{git}), source code documentation using Doxygen (found \href{http://amas.web.psi.ch/docs/opal/html/}{here}) and the extensive user manual you are now enjoying, we are committed to providing users as well as co-developers with
+state-of-the-art documentation to \opal.
+
+One example of an non trivial test-example is the PSI DC GUN. In \figref{guncomp1} the comparison between \impactt and \opalt is shown. This example is part of the regression test suite
+that is run every night. The input file is found in \secref{examplesbeamlines}.
+
+Misprints and obscurity are almost inevitable in a document of this size.
+Comments and {\em active contributions} from readers are therefore most welcome.
+They may be sent to \htmladdnormallink{\texttt{andreas.adelmann@psi.ch}}{mailto:andreas.adelmann@psi.ch}.
+
+
+%======================FIGURE===============================
+\begin{figure}[!htb]
+\centering
+ \includegraphics[width=0.45\textwidth]{figures/Gun/GunCompEn}
+ \hspace{0.05\textwidth}
+ \includegraphics[width=0.45\textwidth]{figures/Gun/GunCompEx}
+ \caption{Comparison of energy and emittance in $x$ between \impactt and \opalt}
+ \label{fig:guncomp1}
+\end{figure}
+%===========================================================
+
+\section{Field Maps from the FEMAXX 3D Eigenmode Solver}
+\ifthenelse{\boolean{ShowDebug}}{
+\TODO{AA will rewrite}
+
+}{}
+Electromagnetic field maps for beam dynamics calculations originate from a number of different
+electromagnetic solvers, e.g. Superfish and similar codes.
+
+Here, we describe the current status of work in progress which will, eventually,
+allow the usage of field maps that have been computed with the FEMAXX $3$-dimensional
+electromagnetic eigenmodal solver \cite{bib:arbenzetal2001,bib:arbenzetal2006}.
+
+The FEMAXX code computes electromagnetic eigenmodes of resonant cavities of
+arbitrary $3$-dimensional shape and boundary conditions.
+
+Unlike Superfish and similar $2$-dimensional codes, FEMAXX is not restricted in the
+kind of geometry it can model. It is therefore possible to consider arbitrary
+shapes and their inclusion in beam dynamics and particle tracking calculations.
+
+Given a mesh of a $3$-dimensional geometry FEMAXX computes eigenomdal field
+decompositions.
+
+The user then specifies sampling locations for the electromagnetic eigenfields.
+
+At present, sampling locations are specified in terms of a cylinder shape,
+i.e. the user indicates the cylinder axis, the radial cylinder vector and
+the number of sampling locations in axial, radial and azimuthal directions.
+
+Once the eigenmodal solution has been computed the fields are sampled at
+these locations and stored in the T7 file format, for subsequent use in \opal.
+
+Considerable effort has been spent for the validation and benchmarking of
+beam dynamics calculations based on T7 field maps computed with FEMAXX.
+
+A pillbox cavity, i.e. a cylinder shape with a radius $r = \SI{4.7}{\centi\meter}$ and
+height $h = \SI{3}{\centi\meter}$, has been chosen for benchmarking purposes,
+due to the availability of an analytical solution.
+
+The analytical resonance frequency of the dominant mode is \SI{2.441}{\giga\hertz}.
+
+
+%======================FIGURE===============================
+\begin{figure}[!htb]
+\centering
+\includegraphics[width=0.6\textwidth]{./figures/adaptivePillboxMesh.pdf}
+\caption[Tetrahedral mesh of a pillbox shaped cavity]{We show the discretization of a pillbox shaped cavity geometry into a tetrahedral mesh. The mesh has been adaptively refined so that the region around the cylinder axis is decomposed into smaller tetrahedra than those which are further away from the axis.}
+\label{fig:pillbox_adaptively_refined_mesh}
+\end{figure}
+%===========================================================
+
+We have compared two cases with \opal: (1) The analytical solution has been
+sampled within a cylinder volume, stored into a T7 file and used in an \opal
+run; (2) the same pillbox shaped geometry has been discretization into tetrahedra
+and the eigenmodal fields were calculated with FEMAXX.
+%%
+These two cases were then compared, resulting in the following conclusions:
+%%
+(1) Using a relatively coarse mesh with some $110'000$ tetrahedra, the difference
+between the analytical and the numerical solution was usually smaller than
+$1$ percent.
+%%
+(2) Using an adaptively refined mesh, the difference between analytical and
+numerical solutions decreased below $1$ per mill. The mesh is shown
+in \figref{pillbox_adaptively_refined_mesh}.
+%%
+(3) It is therefore imperative to use a tetrahedral mesh which has been
+refined around the beam axis. It is definitely more efficient to use local
+refinement, based on physical argument, than simply refine the complete
+mesh in a uniform manner.
+%%
+
+
+We are now working towards benchmarking more complicated shapes in order to
+assess requirements w.r.t to meshes and modeling geometry so that we
+achieve the same or better accuracy as has been obtained from field
+maps that were computed with Superfish like solvers based on azimuthal symmetry.
+
+
+\section{Output}
+The phase space is stored in the H5hut file-format \cite{bib:howison2010} and can be analyzed
+using e.g. H5root \cite{bib:schietinger}. The frequency
+of the data output (phase space and some statistical quantities) can be controlled using the \keyword[sec:option]{OPTION} statement \seesec{option},
+ with the flag \keyword{PSDUMPFREQ}. The file is named like in input file but with the extension {\tt .h5}.
+
+A SDDS compatible ASCII file with statistical beam parameters is written to a file with extension {\tt .stat}. The frequency with which this data is written can be controlled with the \keyword[sec:option]{OPTION} statement \seesec{option} with the flag \keyword{STATDUMPFREQ}.
+%======================FIGURE===============================
+\begin{figure}[!htb]
+\centering
+ \includegraphics[width=0.32\textwidth]{figures/H5rootPicture1}
+ \includegraphics[width=0.32\textwidth]{figures/H5rootPicture2}
+ \includegraphics[width=0.31\textwidth]{figures/H5rootPicture3}
+\caption[]{H5root enables a variety of data analysis and post processing task on \opal data}
+% \caption{Example of a longitudinal phase space shown with H5root}
+ \label{fig:h5root1}
+\end{figure}
+%===========================================================
+
+\section{Change History}
+See \appref{changelog} for a detailed list of changes in \opal.
+\section{Known Issues and Limitations}
+\subsection{\opalcycl}
+\begin{itemize}
+ \item Restart with the option \keyword{PSDUMPLOCALFRAME} does not work yet,
+ \item In complicated geometries such as spiral inflectors, proper particle deletion at the boundary sometimes fails.
+\end{itemize}
+\section{Acknowledgments}
+The contributions of various individuals and groups are acknowledged in the relevant chapters, however a few individuals have or had considerable influence on the
+development of \opal, namely Chris Iselin, John Jowett, Julian Cummings, Ji Qiang, Robert Ryne and Stefan Adam. For the \partroot~ visualization tool credits go to Thomas Schietinger.
+The effort to couple FEMAXX to \opal was led by Benedikt Oswald.
+
+The following
+individuals are acknowledged for past contributions: Tulin Kaman, Yuanjie Bi, Colwyn Gulliford, Hao Zha and Christopher Mayes.
+
+%- - - - - - - - - - - - - - - SECTION- - - - - - - - - - - - - - - - - - -
+\section{Citation}
+Please cite \opal in the following way:
+\begin{example}
+@techreport{opal:1,
+title = {The OPAL (Object Oriented Parallel Accelerator Library) Framework},
+author = {Andreas Adelmann and Achim Gsell and Valeria Rizzoglio (PSI) and Christof
+Metzger-Kraus (HZB) and Yves Ineichen (IBM) and Xiaoying Pang and Steve Russell (LANL)
+and Chuan Wang and Jianjun Yang (CIAE) and Suzanne Sheehy and Chris Rogers (RAL) and
+Daniel Winklehner (MIT)},
+institution = {Paul Scherrer Institut},
+number = {PSI-PR-08-02},
+year = {(2008-2016)}
+}
+\end{example}
+
+
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/lines.tex b/doc/user_guide/lines.tex
new file mode 100755
index 0000000000000000000000000000000000000000..45e3d45523aec9879d9ed1a485b0ea393da5e158
--- /dev/null
+++ b/doc/user_guide/lines.tex
@@ -0,0 +1,76 @@
+\input{header}
+
+\chapter{Beam Lines}
+\label{chp:lines}
+\index{Line|(}
+
+\label{sec:line}
+\index{LINE}
+
+The accelerator to be studied is known to \opal
+as a sequence of physical elements called a \textbf{beam line}.
+A beam line is built from simpler beam lines whose definitions
+can be nested to any level.
+A powerful syntax allows to repeat or to reflect pieces of beam lines.
+Formally a beam line is defined by a \keyword{LINE} command:
+\begin{example}
+label:LINE=(member,...,member);
+\end{example}
+{label} \seesec{label} gives a name to the beam line
+for later reference.
+
+Each \texttt{member} may be one of the following:
+\begin{itemize}
+\item An element label,
+\item A beam line label,
+\item A sub-line, enclosed in parentheses,
+\end{itemize}
+Beam lines can be nested to any level.
+
+\section{Simple Beam Lines}
+\label{sec:line:simple}
+The simplest beam line consists of single elements:
+\begin{example}
+label:LINE=(member,...,member);
+\end{example}
+Example:
+\begin{example}
+L:LINE=(A,B,C,D,A,D);
+\end{example}
+
+\begin{kdescription}
+\item[ORIGIN] Position vector of the origin of the line. All elements in this line that are placed using \keyword{ELEMEDGE} use this position as reference.
+\item[ORIENTATION] Vector of Tait-Bryan angles \cite{bib:tait-bryan} of the orientation of the line at the origin.
+\end{kdescription}
+
+\section{Sub-lines}
+\label{sec:subline}
+Instead of referring to an element,
+a beam line member can refer to another beam line
+defined in a separate command.
+This provides a shorthand notation for sub-lines which occur
+several times in a beam line.
+Lines and sub-lines can be entered in any order,
+but when a line is used,
+all its sub-lines must be known.
+
+Example:
+\begin{example}
+L:LINE=(A,B,S,B,A,S,A,B);
+S:LINE=(C,D,E);
+\end{example}
+This example produces the following expansion steps:
+\begin{enumerate}
+\item Replace sub-line \texttt{S}:
+\begin{example}
+(A,B,(C,D,E),B,A,(C,D,E),A,B)
+\end{example}
+\item Omit parentheses:
+\begin{example}
+A,B,C,D,E,B,A,C,D,E,A,B
+\end{example}
+\end{enumerate}
+
+valuated to constants immediately.
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/macros.tex b/doc/user_guide/macros.tex
new file mode 100644
index 0000000000000000000000000000000000000000..9f956c6437623f107758b7d4d162371a1c04ae28
--- /dev/null
+++ b/doc/user_guide/macros.tex
@@ -0,0 +1,201 @@
+%---- macros ----
+
+\renewcommand{\topfraction}{1.0}
+\renewcommand{\bottomfraction}{1.0}
+\renewcommand{\textfraction}{0.0}
+\renewcommand{\arraystretch}{2.0}
+\newenvironment{tex2html_nowrap}{}{}
+
+
+\newcommand{\Newline}{\hfil \\}
+
+
+\newsavebox{\ExampleBox}
+\newenvironment{example}
+ {\VerbatimEnvironment
+ \begin{flushleft}
+ \begin{lrbox}{\ExampleBox}
+ \begin{minipage}{\linewidth}
+ \begin{Verbatim}[frame=lines,xleftmargin=0cm,fontsize=\footnotesize,samepage=true]}
+ {\end{Verbatim}
+ \end{minipage}
+ \end{lrbox}
+ \mbox{\usebox{\ExampleBox}}
+ \end{flushleft}
+ }
+
+\newenvironment{longexample}
+{\Verbatim[frame=lines,xleftmargin=0mm,fontsize=\footnotesize]}
+{\endVerbatim}
+
+%\examplefromfile{filename} reads in a text file and displays it in the document.
+\newcommand{\examplefromfile}[1]{
+\VerbatimInput[frame=lines,xleftmargin=0mm,fontsize=\footnotesize,label=\texttt{#1}]{#1}}
+
+%for upright d of differentials
+\makeatletter
+\newcount\my@repeat@count
+
+\newcommand{\myrepeat}[2]{%
+ \begingroup
+ \my@repeat@count=\z@
+ \@whilenum\my@repeat@count<#1\do{#2\advance\my@repeat@count\@ne}%
+ \endgroup
+}
+
+\newcommand{\differential}[1]{\ifstrempty{#1}{\ES@dop\ES@difint}{\ES@dop^{#1}\ES@difint}}
+\newcommand{\pdifferential}[1]{\ifstrempty{#1}{{\partial\,}}{{\partial^{#1}\,}}}
+
+\makeatother
+
+\newcommand{\der}[3][]{\frac{\differential{#1}#2}{\differential{}\ifstrempty{#1}{#3}{#3^#1}}}
+\newcommand{\parder}[3][]{\frac{\pdifferential{#1}#2}{\pdifferential{}\ifstrempty{#1}{#3}{#3^#1}}}
+\newcommand{\niceder}[3][]{\nicefrac{\differential{#1}#2}{\differential{}\ifstrempty{#1}{#3}{#3^#1}}}
+\newcommand{\uglyder}[3][]{{\differential{#1}#2}/{\differential{}\ifstrempty{#1}{#3}{#3^#1}}}
+\newcommand{\uglyparder}[3][]{{\pdifferential{#1}#2}/{\pdifferential{}\ifstrempty{#1}{#3}{#3^#1}}}
+\newcommand{\dd}[1][]{\; \differential{#1}}
+\newcommand{\primed}{^{\prime}}
+\newcommand{\dprimed}{^{\prime\prime}}
+\newcommand{\nprimed}[1]{^{\myrepeat{#1}{\prime}}}
+
+%Editing Macros
+\newcommand{\TODO}[1]{{\color{red}\ifthenelse{\boolean{ShowDebug}}{[TODO: #1]}{}}}
+
+
+
+%text in gray box
+\newsavebox{\fmbox}
+\definecolor{lightgray}{gray}{0.95}
+\newenvironment{fmpage}
+ {\vspace{-1.0cm}\begin{lrbox}{\fmbox}\begin{minipage}[t]{13.5cm}\vspace{0.1cm}}
+ {\vspace{-0.4cm}\end{minipage}\end{lrbox}\begin{center}\fcolorbox{black}{lightgray}{\usebox{\fmbox}}\end{center}}
+
+
+% Definition new signes
+\newcommand{\R}{{\mathbb R}} % real numbers
+\newcommand{\Q}{{\mathbb Q}} % rational numbers
+\newcommand{\Z}{{\mathbb Z}} % integer numbers
+\newcommand{\N}{{\mathbb N}} % natural numbers
+
+\newcommand{\opalversion}[1]{\ifstrempty{#1}{@OPAL_VERSION@\xspace}{#1}}
+\newcommand{\mad}{\textsc{mad}\xspace}
+\newcommand{\madnine}{\textsc{mad9}\xspace}
+\newcommand{\madninep}{\textsc{mad9p}\xspace}
+\newcommand{\madeight}{\textsc{mad8}\xspace}
+\newcommand{\classic}{\textsc{classic}\xspace}
+
+\makeatletter
+\newcommand{\opal@impl}{\textsc{Opal}}
+\newcommand{\opalt@impl}{\textsc{Opal-t}}
+\newcommand{\opalcycl@impl}{\textsc{Opal-cycl}}
+\newcommand{\opalmap@impl}{\textsc{Opal-map}}
+\newcommand{\opalenv@impl}{\textsc{Opal-e}}
+
+\newcommand{\opal}{\opal@impl\xspace}
+\newcommand{\opalt}{\opalt@impl\xspace}
+\newcommand{\opalcycl}{\opalcycl@impl\xspace}
+\newcommand{\opalmap}{\opalmap@impl\xspace}
+\newcommand{\opalenv}{\opalenv@impl\xspace}
+
+\newcommand{\noopalt}{\leftthumbsdown \opalt@impl\xspace}
+\newcommand{\noopalcycl}{\leftthumbsdown \opalcycl@impl\xspace}
+\newcommand{\noopalmap}{\leftthumbsdown \opalmap@impl\xspace}
+\newcommand{\noopalenv}{\leftthumbsdown \opalenv@impl\xspace}
+\makeatother
+
+\newcommand{\impactt}{\textsc{Impact-t}\xspace}
+\newcommand{\partroot}{\textsc{H5root}}
+
+
+\newcommand{\latermore}{More details will be given in Version 1.6.0}
+
+
+\newcommand{\lieop}[1]{{:}{#1}{:}}
+
+\newcommand{\rms}[1]{\overset{\sim}{#1}}
+
+\newcommand{\sprod}{\cdot}
+\newcommand{\vprod}{\times}
+\newcommand{\matr}[1]{\mathcal{#1}}
+\renewcommand{\vec}[1]{{\bm{#1}}}
+\newcommand{\transpose}[1]{#1^\intercal}
+\renewcommand{\epsilon}{\varepsilon}
+
+\newcommand{\keyword}[2][]{\ifstrempty{#1}{\texttt{\expandafter\MakeUppercase\expandafter{#2}}}{\hyperref[#1]{\texttt{\expandafter\MakeUppercase\expandafter{#2}}}}}
+\newcommand{\tabline}[3][]{\keyword[#1]{#2}& #3 \\}
+\newcommand{\tabheadcell}[1]{{\bfseries #1}}
+
+\newcommand*\kdescriptionlabel[1]{\hspace\labelsep
+ \normalfont\keyword{#1}\index{#1}}
+\makeatletter
+\newenvironment{kdescription}
+ {\list{}{\labelwidth\z@ \itemindent-\leftmargin
+ \let\makelabel\kdescriptionlabel}}
+ {\endlist}
+\makeatother
+
+\ExplSyntaxOn
+\NewDocumentCommand{\tabhead}{ m }
+ {
+ \seq_set_split:Nnn \l_tmpa_seq { & } { #1 }
+ \bfseries \seq_use:Nn \l_tmpa_seq { & \bfseries } \\
+ }
+
+\NewDocumentCommand \multrefImpl { O{ } m m m } {
+ \ifnumgreater{\clist_count:n {#4}}{1}{
+ \seq_set_from_clist:Nn \l_tmpa_seq { #4 }
+
+ \seq_set_map:NNn \l_tmpb_seq \l_tmpa_seq { \exp_not:n { \ref{#3:##1} } }
+ \ifstrempty{#1}{#2s}{#1}~\seq_use:Nnnn \l_tmpb_seq {\ and\ } {,\ } {,\ and\ }
+ }{
+ #2~\ref{#3:#4}
+ }
+}
+
+\NewDocumentCommand \multeqnrefImpl { m } {
+ \ifnumgreater{\clist_count:n {#1}}{1}{
+ \seq_set_from_clist:Nn \l_tmpa_seq { #1 }
+
+ \seq_set_map:NNn \l_tmpb_seq \l_tmpa_seq { \exp_not:n { \eqref{eq:##1} } }
+ Equations~\seq_use:Nnnn \l_tmpb_seq {\ and\ } {,\ } {,\ and\ }
+ }{
+ Equation~\eqref{eq:#1}
+ }
+}
+\ExplSyntaxOff
+
+
+%Abbreviations for Equations, Figures, and Tables
+%\newcommand{\Equation}[1]{Equation~\eqref{#1}}
+
+\newcommand{\bibref}[2]{#1 \cite{bib:#2}}
+\newcommand{\figref}[1]{\multrefImpl{Figure}{fig}{#1}}
+\newcommand{\chpref}[1]{\multrefImpl{Chapter}{chp}{#1}}
+\newcommand{\appref}[1]{\multrefImpl[Appendices]{Appendix}{chp}{#1}}
+\newcommand{\secref}[1]{\multrefImpl{Section}{sec}{#1}}
+\newcommand{\ssecref}[1]{\multrefImpl{Section}{ssec}{#1}}
+\newcommand{\tabref}[1]{\multrefImpl{Table}{tab}{#1}}
+\newcommand{\eqnref}[1]{\multeqnrefImpl{#1}}
+
+\newcommand{\seefig}[1]{(see~\figref{#1})}
+\newcommand{\seechp}[1]{(see~\chpref{#1})}
+\newcommand{\seesec}[1]{(see~\secref{#1})}
+\newcommand{\seessec}[1]{(see~\ssecref{#1})}
+\newcommand{\seetab}[1]{(see~\tabref{#1})}
+\newcommand{\seeeqn}[1]{(see~\eqnref{#1})}
+
+\newcommand{\filename}[1]{\emph{#1}}
+
+
+% Define distances for bordering
+\newcommand{\blockdist}{1.3}
+\newcommand{\edgedist}{1.5}
+\newcommand{\diagramstep}[2]{node (p#1) [diagramstep] {#2}}
+
+
+% place chapter title page on odd pages
+\let\stdchapter\chapter
+\makeatletter
+\renewcommand*{\chapter}{\if@openright\cleardoublepage\else\clearpage\fi\stdchapter}
+
+\makeatother
\ No newline at end of file
diff --git a/doc/user_guide/makeuser b/doc/user_guide/makeuser
new file mode 100755
index 0000000000000000000000000000000000000000..c70fbf469a7b880cdba82ec1eb739ffea3d97a43
--- /dev/null
+++ b/doc/user_guide/makeuser
@@ -0,0 +1,6 @@
+#!/bin/sh
+# make HTML version of the user manual
+
+latex2html -dir /afs/psi.ch/project/amas/www/docs/opal/user-guide-html -html_version 3.2 \
+ -index_in_navigation -t "OPAL Draft Documentation " -toc_depth 3\
+ -address andreas.adelmann@psi.ch opal_user_guide
diff --git a/doc/user_guide/match.tex b/doc/user_guide/match.tex
new file mode 100755
index 0000000000000000000000000000000000000000..5bca9efb2fa1195f661d0cd14784a6c61e0ee960
--- /dev/null
+++ b/doc/user_guide/match.tex
@@ -0,0 +1,399 @@
+%=================================================
+%=================================================
+%
+% WARNING: NOT USED IN opal_user_guide.tex
+%
+%=================================================
+%=================================================
+
+\chapter{Matching Module}
+\label{chp:match}
+\index{Matching|(}
+Please note Matching are not yet supported in \noopalt and \noopalcycl. There are Python scripts available to perform a simple low dimensional
+ Matching is needed.
+\begin{table}[ht] \footnotesize
+ \begin{center}
+ \caption{Commands accepted in Matching Mode}
+ \label{tab:matchcmd}
+ \begin{tabular}{|l|p{0.6\textwidth}|l|}
+ \hline
+ \tabhead{Command & Purpose}
+ \hline
+ \tabline[sec:matchmode]{MATCH}{Enter matching mode}
+ \tabline[sec:variable]{name=expression}{Parameter relation}
+ \tabline[sec:constraint]{CONSTRAINT}{Impose matching constraint}
+ \tabline[sec:vary]{VARY}{Vary parameter}
+ \tabline[sec:matchoption]{OPTION}{Set print level}
+ \tabline[sec:matchmethod]{LMDIF}{Minimisation by gradient method}
+ \tabline[sec:matchmethod]{MIGRAD}{Minimisation by gradient method}
+ \tabline[sec:matchmethod]{SIMPLEX}{Minimisation by simplex method}
+ \tabline[sec:matchmode]{ENDMATCH}{Leave matching mode}
+ \tabline[sec:survey]{SURVEY}{Define a survey table}
+ \tabline[sec:twiss]{TWISS}{Define a periodic lattice function table}
+ \tabline[sec:twiss]{TWISSTRACK}{Define a lattice function table}
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\section{Matching Mode}
+\label{sec:matchmode}
+\index{MATCH}
+\index{ENDMATCH}
+To initiate a matching operation,
+the command
+\begin{verbatim}
+MATCH;
+\end{verbatim}
+is entered.
+\opal then enters ``matching mode'', in which it accepts only the
+matching commands \seetab{matchcmd}.
+Most of the procedures have originated in the \bibref{MINUIT}{MINUIT}
+program.
+
+This command must be followed by command to
+\begin{itemize}
+\item
+ Define one or more tables \seechp{tables} to be matched.
+ The tables can also be defined before the \texttt{MATCH} command.
+\item
+ Define matching constraints \seesec{constraint} on these tables.
+\item
+ Define the variables \seesec{vary} to be adjusted.
+\item
+ Select the verbosity \seesec{matchoption} of output.
+\item
+ Initiate matching \seesec{matchmethod}.
+\end{itemize}
+The \texttt{ENDMATCH} command terminates matching mode and deletes all
+tables related to a matching run:
+\begin{verbatim}
+ENDMATCH;
+\end{verbatim}
+
+\section{Variable Parameters}
+\label{sec:vary}
+\index{VARY}
+A parameter to be varied is specified by the command:
+\begin{verbatim}
+VARY, NAME=variable, STEP=real, LOWER=real, UPPER=real;
+\end{verbatim}
+It has four attributes:
+\begin{kdescription}
+\item[NAME]
+ \index{NAME}
+ The name of the parameter \seesec{variable} or
+ attribute \seesec{areal} to be varied.
+\item[STEP]
+ \index{STEP}
+ \index{Step Size}
+ The approximate initial step size for varying the parameter.
+ If the step is not entered, \opal tries to find a reasonable step,
+ but this may not always work.
+\item[LOWER]
+ \index{LOWER}
+ \index{Matching!Limits}
+ \index{Limits!Matching}
+ Lower limit for the parameter (optional),
+\item[UPPER]
+ \index{UPPER}
+ Upper limit for the parameter (optional).
+\end{kdescription}
+Upper and/or lower limits can also be imposed via the
+{CONSTRAINT}~command \seesec{constraint},
+which is usually faster than entering limits on the
+\texttt{VARY}~command.
+Examples:
+\begin{verbatim}
+VARY, PAR1, STEP=1.0E-4; // vary global param. PAR1
+VARY, QL11->K1, STEP=1.0E-6; // vary attribute K1 of QL11
+VARY, Q15->K1, STEP=0.0001, LOWER=0.0, UPPER=0.08;
+ // vary w. limits
+\end{verbatim}
+If the upper limit is smaller than the lower limit,
+the two limits are interchanged.
+If the current value is outside the range defined by the limits,
+it is brought back to range.
+After a matching operation all varied attributes retain their last value.
+They are never reset to an old value.
+If a matching variable depends on another variable,
+this dependency is broken by the \texttt{VARY}~command.
+Example:
+\begin{verbatim}
+P1:=10.0-P2
+\end{verbatim}
+Both \texttt{P1} and \texttt{P2} may be varied.
+If \texttt{P1} is varied however, its dependence on \texttt{P2} is broken.
+
+%The command \texttt{FIX} removes
+%\ttnindex{NAME}
+%a parameter or attribute from the table of variable parameters:
+%\begin{verbatim}
+%FIX,NAME=variable
+%\end{verbatim}
+%Example:
+%\begin{verbatim}
+%FIX,NAME=QF->K1;
+%\end{verbatim}
+
+\section{Constraints}
+\label{sec:constraint}
+\index{CONSTRAINT}
+All constraints are imposed by the \texttt{CONSTRAINT} command:
+\begin{verbatim}
+CONSTRAINT, left relation right, WGT=weight;
+\end{verbatim}
+In this command \texttt{relation} is one of the relational operator
+$==$, $<$, or~$>$.
+All of \texttt{left}, \texttt{right}, and \texttt{weight}
+are vector expressions \seesec{vector}.
+All three must evaluate to the same number $n$ of components.
+The command is interpreted as $n$ matching constraints like
+\texttt{left[i] relation right[i]} with a weight of
+\texttt{weight[i]}, where $i$ runs from one to $n$.
+A wide spectrum of vector expressions are possible.
+
+Examples. Single constraint:
+\begin{verbatim}
+CONSTRAINT, T1@M[3]->BETX==120, WGT=1;
+\end{verbatim}
+Two constraints in the same point:
+\begin{verbatim}
+CONSTRAINT, ROW(T1, M[3], {BETX,BETY})=={120, 120},
+ WGT=TABLE(2,1);
+\end{verbatim}
+Maximum over a range:
+\begin{verbatim}
+CONSTRAINT, COLUMN(T1, BETX, #S/#E)<200, WGT=1;
+\end{verbatim}
+Coupling between two points:
+\begin{verbatim}
+CONSTRAINT, ROW(T1, M1, {BETX, BETY})==
+ ROW(T1, M2, {BETX, BETY}), WGT=TABLE(2,1);
+\end{verbatim}
+Interchange of \texttt{BETX} and \texttt{BETY}:
+\begin{verbatim}
+CONSTRAINT, ROW(T1, M1, {BETX, BETY})==
+ ROW(T1, M2, {BETY, BETX}), WGT=TABLE(2,1);
+\end{verbatim}
+
+For complex matching conditions in Version~8 of \opal one had to
+introduce ancillary variables.
+Several quantities could then be tied to such a variable,
+resulting in coupling between these quantities.
+This is no longer needed in Version~9, as can be seen from these
+examples.
+
+\section{Matching Output Level}
+\label{sec:matchoption}
+\index{OPTION}
+\index{Matching!Output}
+The \texttt{OPTION} command sets the output level for matching:
+\begin{verbatim}
+OPTION, LEVEL=integer;
+\end{verbatim}
+Recognised level numbers are:
+\begin{description}
+\item[0]
+Minimum printout: Messages and final values only,
+\item[1]
+Normal printout: Messages, initial and final values,
+\item[2]
+Like \texttt{LEVEL=1}, plus every tenth new minimum found,
+\item[3]
+Like \texttt{LEVEL=2}, plus every new minimum found,
+\item[4]
+Like \texttt{LEVEL=3}, plus eigenvalues of covariance matrix
+(\texttt{MIGRAD} method only).
+\end{description}
+Example:
+\begin{verbatim}
+OPTION, LEVEL=2;
+\end{verbatim}
+
+\section{Matching Methods}
+\label{sec:matchmethod}
+\index{Matching!Methods}
+
+\subsection{LMDIF, Gradient Minimisation}
+\index{Gradient Minimisation}
+\index{LMDIF}
+The \texttt{LMDIF} command minimises the sum of squares of the constraint
+functions using their numerical derivatives:
+\begin{verbatim}
+LMDIF, CALLS=integer, TOLERANCE=real;
+\end{verbatim}
+It is the fastest minimisation method available in \opal.
+The command has two attributes:
+\begin{kdescription}
+\item[CALLS]
+ \index{CALLS}
+ The maximum number of calls to the penalty function (default:~1000).
+\item[TOLERANCE]
+ \index{TOLERANCE}
+ The desired tolerance for the minimum (default:~\(10^{-6}\)).
+\end{kdescription}
+Example:
+\begin{verbatim}
+LMDIF, CALLS=2000, TOLERANCE=1.0E-8;
+\end{verbatim}
+
+\subsection{MIGRAD, Gradient Minimisation}
+\index{Gradient Minimisation}
+\index{MIGRAD}
+The \texttt{MIGRAD} command minimises the penalty
+function using its numerical derivatives of the sum of squares:
+\begin{verbatim}
+MIGRAD, CALLS=integer, TOLERANCE=real, STRATEGY=1;
+\end{verbatim}
+The command has three attributes:
+\begin{kdescription}
+\item[CALLS]
+ \index{CALLS}
+ The maximum number of calls to the penalty function (default:~1000).
+\item[TOLERANCE]
+ \index{TOLERANCE}
+ The desired tolerance for the minimum (default:~\(10^{-6}\)).
+\item[STRATEGY]
+ \index{STRATEGY}
+ A code for the strategy to be used (default:~1).
+ The user is referred to the MINUIT manual for
+ \bibref{explanations}{MINUIT}.
+\end{kdescription}
+Example:
+\begin{verbatim}
+MIGRAD, CALLS=2000, TOLERANCE=1.0E-8;
+\end{verbatim}
+
+\subsection{SIMPLEX, Minimisation by Simplex Method}
+\index{Simplex Minimisation}
+\index{SIMPLEX}
+The \texttt{SIMPLEX} command minimises the penalty
+function by the simplex method:
+\begin{verbatim}
+SIMPLEX, CALLS=integer, TOLERANCE=real;
+\end{verbatim}
+The user is referred to the MINUIT manual for
+\bibref{explanations}{MINUIT}.
+The command has two attributes:
+\begin{kdescription}
+\item[CALLS]
+ \index{CALLS}
+ The maximum number of calls to the penalty function (default:~1000).
+\item[TOLERANCE]
+ \index{TOLERANCE}
+ The desired tolerance for the minimum (default:~\(10^{-6}\)).
+\end{kdescription}
+Example:
+\begin{verbatim}
+SIMPLEX, CALLS=2000, TOLERANCE=1.0E-8;
+\end{verbatim}
+\index{Matching!Methods}
+
+\section{Matching Examples}
+\index{Examples!Matching|(}
+
+\subsection{Simple Periodic Beam Line}
+Match a simple cell with given phase advances:
+\begin{verbatim}
+// Some definitions:
+QF: QUADRUPOLE,...;
+QD: QUADRUPOLE,...;
+EM: MARKER;
+CELL1: LINE=(...,QF,...,QD,...,EM);
+P0 = ...;
+BEAM1: BEAM, PC=P0;
+TW1: TWISS, LINE=CELL1, BEAM=BEAM1, METHOD=LINEAR;
+
+// Match CELL1:
+MATCH;
+ VARY, NAME=QD->K1, STEP=0.01;
+ VARY, NAME=QF->K1, STEP=0.01;
+ CONSTRAINT, ROW(TW1, EM, {MUX, MUY})=={0.25, 1/6};
+ LMDIF, CALLS=200;
+ENDMATCH;
+\end{verbatim}
+
+\subsection{Insertion Matching}
+Match an insertion \texttt{INSERT} to go between
+two different cells \texttt{CELL1} and \texttt{CELL2}:
+\begin{verbatim}
+// Some definitions:
+BI: MARKER;
+EI: MARKER;
+BM: MARKER;
+EM: MARKER;
+CELL1: LINE=(...);
+CELL2: LINE=(...);
+INSERT: LINE=(...);
+MAIN: LINE=(BM, CELL1, BI, INSERT, EI, CELL2, EM);
+P0 = ...;
+BEAM1: BEAM,PC=P0;
+C1: TWISS, LINE=CELL1, BEAM=BEAM1, METHOD=LINEAR,
+ RANGE=BM/BI, STATIC;
+C1: TWISS, LINE=CELL2, BEAM=BEAM1, METHOD=LINEAR,
+ RANGE=EI/EM, STATIC;
+MATCH;
+ INS: TWISS, LINE=INSERT, BEAM=BEAM1, METHOD=LINEAR,
+ RANGE=BI/EI;
+ VARY,...;
+ CONSTRAINT,
+ ROW(C1, BI, {BETX, ALFX, BETY, ALFY})==
+ ROW(INS, BI, {BETX, ALFX, BETY, ALFY}),
+ WGT={10, 1, 10, 1};
+ CONSTRAINT,
+ ROW(C2, EI, {BETX, ALFX, BETY, ALFY})==ROW(INS,EI,
+ {BETX,ALFX,BETY,ALFY}),
+ WGT={10, 1, 10, 1};
+ CONSTRAINT, ROW(INS, EI, {MUX, MUX})={...,...},
+ WGT={10,10};
+ SIMPLEX;
+ MIGRAD;
+ENDMATCH;
+\end{verbatim}
+This matches the optical functions \texttt{BETX, ALFX, BETY, ALFY} to fit
+together at the markers \texttt{BI, EI}, and the phase advances over
+the insertion.
+
+\subsection{A Matching Example for LHC}
+In this case we impose constraints on maximum values of \texttt{BETX}.
+This is done by means of the vector to scalar function
+{VMAX} \seesec{vector} with the vector-valued function
+{COLUMN} \seesec{vector}.
+\begin{verbatim}
+MATCH;
+ BIR2:TWISS, LINE=LHC, RANGE=CELL23;
+ IR2:TWISSTRACK, LINE=LHC, RANGE=S.DS.L2/E.DS.R2,
+ INIT=BIR2@S.DS.L2, METHOD=LINEAR;
+
+ // Some constraints
+ ...;
+
+ // (Part of the ) beta limitation in the
+ // dispersion suppressor
+ CONSTRAINT, VMAX(COLUMN(
+ IR2, BETX, S.DS.L2/Q7.L2)) < BETMAX, WGT=10;
+ CONSTRAINT, VMAX(COLUMN(
+ IR2, BETX, Q7.L2/Q5A.L2)) < 350.0, WGT=10;
+ CONSTRAINT, VMAX(COLUMN(
+ IR2, BETX, Q5A.R2/Q7.R2)) < 350.0, WGT=10;
+ CONSTRAINT, VMAX(COLUMN(
+ IR2, BETX, Q7.R2/E.DS.R2)) < BETMAX, WGT=10;
+
+ // Some strength limits
+ CONSTRAINT, KQ4.L2 > -9.6E-3, WGT=1;
+ CONSTRAINT, KQ5.L2 < 9.6E-3, WGT=1;
+ CONSTRAINT, KQ6.L2 > -9.6E-3, WGT=1;
+ CONSTRAINT, KQ7.L2 < 9.6E-3, WGT=1;
+
+ // Vary commands
+ ...;
+
+ // Matching method
+ OPTION, LEVEL=3;
+ LMDIF, CALLS=200, TOLERANCE=1.E-16;
+ENDMATCH;
+\end{verbatim}
+\index{Examples!Matching|)}
+
+\index{Matching|)}
\ No newline at end of file
diff --git a/doc/user_guide/multipact.tex b/doc/user_guide/multipact.tex
new file mode 100755
index 0000000000000000000000000000000000000000..b205e0f082bcd923532cb62db8b45d70cbd4fc0e
--- /dev/null
+++ b/doc/user_guide/multipact.tex
@@ -0,0 +1,152 @@
+\input{header}
+
+\chapter{Multipacting}
+\label{chp:multpact}
+\index{Multipacting}
+Multiple electron impacting (multipacting) is a phenomenon in radio frequency (RF) structure that under certain conditions (material and geometry of the RF structure, frequency and level of the electromagnetic field, with or without the appearance of the magnetic field \ldots), electrons secondary emission yield (SEY) coefficient will be larger than one and lead to exponential multiplication of electrons.
+
+Besides the particle tracker in \opal, the computational model for solving multipacting problem contains an accurate representation of 3D geometry of RF structure by using triangulated surface mesh \seechp{geometry,femiss}, an efficient particle-boundary collision test scheme, two different secondary emission models, and necessary post-processing scripts.
+
+As we use a triangulated surface mesh to represent the RF structure, our particle-boundary collision test scheme is based on line segment-triangle intersection test. An axis aligned boundary box combined with surface triangle inward normal method is adopted to speedup the particle-boundary collision test \cite{WangHB2010}.
+
+The SEY curve is a very important property of the surface material for the development of a multipacting in a RF structure. \figref{typicalSEY} shows a typical SEY curve.
+\begin{figure}[ht]
+ \begin{center}
+ \includegraphics[width=0.8\linewidth,angle=0]{figures/Multipacting/SEY_curve.pdf}
+ \caption{Typical SEY curve}
+ \label{fig:typicalSEY}
+ \end{center}
+\end{figure}
+Here, the horizontal axis is the energy of impacting electron, the vertical axis is the SEY value $\delta$, defined as \cite{Furman-Pivi}:
+ \begin{equation}
+\delta = \frac{I_s}{I_0} \label{eq:SEY}
+\end{equation}
+where $I_0$ is the incident electron beam current and $I_s$ is the secondary current, i.e., the electron current emitted from the surface. Usually the SEY value $\delta$ appeared in an SEY curve is the measured SEY with normal incident, i.e., the impacting electron is perpendicular to the surface. The energy $E_1$ and $E_2$ are the first crossover energy and the second crossover energy respectively, where the SEY value $\delta$ exceed and fall down to $\delta = 1$ at the first time. Obviously, only the energy range of $\delta>1$, i.e., $E \in (E_1,E_2)$ can contribute to multipacting.
+
+Both Furman-Pivi's probabilistic secondary emission model \cite{Furman-Pivi} and Vaughan's formula based secondary emission model \cite{Vaughan} have been implemented in \opal and have been benchmarked \seesec{RunPP}.
+
+The Furman and Pivi's secondary emission model calculates the number of secondary electrons that result from an incident electron of a given energy on a material at a given angle (see \figref{incident electrons}). For each of the generated secondary electrons the associated process: \emph{true secondary}, \emph{rediffused} or \emph{backscattered} is recorded, as is sketched in \figref{incident electrons}.
+\begin{figure}
+ \centering
+ \input{figures/Multipacting/HB_Fig4.tikz}
+ % \includegraphics[width=3 in]{incident_diagram.pdf}
+ \caption{Sketch map of the secondary emission process.}
+ \label{fig:incident electrons}
+\end{figure}
+This model is mathematically self-consistent, which means that (1) when averaging over an infinite number of secondary-emission events, the reconstructed $\delta$ and $\uglyder{\delta}{E}$ are guaranteed to agree with the corresponding input quantities; (2) the energy integral of $\uglyder{\delta}{E}$ is guaranteed to equal $\delta$; (3) the energy of any given emitted electron is guaranteed not to exceed the primary energy; and (4) the aggregate energy of the electrons emitted in any multi-electron event is also guaranteed not to exceed the primary energy. This model contains built-in SEY curves for copper and stainless steel and the only thing user need to set is to choose the material type, i.e., copper or stainless steel, as long as the surface material of user's RF structure has the same SEY curve as built-in SEY curves.
+
+Although a set of parameters in the model can be adjusted to model different SEY curves without breaking the above mentioned mathematical self-consistency, it is easier to use Vaughan's formula based secondary emission model if user has to model a different SEY curve.
+
+The Vaughan's secondary emission model is based on a secondary emission yield formula \cite{Vaughan, VaughanRv}:
+\begin{subequations}
+\label{allequations}
+\begin{eqnarray}
+ \delta(E,\theta)&=&\delta_{max}(\theta)\cdot (v e^{1-v})^k,\ \text{for}\ v \le 3.6 \label{eq:VaughanA}
+\\
+\delta(E,\theta)&=&\delta_{max}(\theta)\cdot 1.125/v^{0.35},\ \text{for}\ v > 3.6 \label{eq:VaughanB}
+\\
+\delta(E,\theta)&=&\delta_0,\ \text{for}\ v \le 0 \label{eq:VaughanC}
+\end{eqnarray}
+\end{subequations}
+where
+\begin{eqnarray*}
+v=\frac{\displaystyle E-E_0}{\displaystyle E_{max}(\theta)-E_0},
+\end{eqnarray*}
+\begin{eqnarray*}
+k=0.56,\ \ \text{for}\ v<1,
+\end{eqnarray*}
+\begin{eqnarray*}
+k=0.25,\ \ \text{for}\ 1<v\le{3.6},
+\end{eqnarray*}
+\begin{eqnarray*}
+\delta_{max}(\theta)=\delta_{max}(0)\cdot (1+k_{\theta}\theta^2/2\pi),
+\end{eqnarray*}
+\begin{eqnarray*}
+E_{max}(\theta)=E_{max}(0)\cdot (1+k_E\theta^2/2\pi).
+\end{eqnarray*}
+The secondary emission yield value for an impacting electron energy $E$ and incident angle $\theta$ w.r.t the surface normal is denoted as $\delta(E,\theta)$. Parameter $k_{\theta}$ and $k_E$ denotes the dependence on surface roughness. Both
+should be assigned a default value of 1.0, which appears appropriate for typical dull surfaces in a working tube environment, and lower values down to zero or higher values, up to about 2.0, are only valid for specified cases \cite{Vaughan}. $E_{max}(0)$ is the impacting energy when incident angle is zero and secondary yield reaches its maximum value. $E_0$ is an adjustable parameter to make the first crossover energy be fitted to the experiment data \cite{FS}. $\delta_0$ is the user specified constant denote the SEY of low impacting energy.
+
+The emission energy obeys the thermal energy distribution:
+\begin{equation}
+f(\epsilon) = \frac{\epsilon}{(k_BT)^2}exp\left(\frac{-\epsilon}{k_BT}\right) \label{eq:emienergy}
+\end{equation}
+The polar angles of emitted secondaries $\theta \in [0, \pi/2]$ are with probability density $cos^{\alpha}\theta$, and the azimuthal angles $\phi \in [0, 2\pi]$ are with uniform probability density. These emission angles of the secondary electrons is relative to the local coordinate system which is centered at the collision point and whose ‘‘z’’ axis is along the inward normal of the surface.
+
+Motivated by the fact that the population of particles in simulation domain may continually grow exponentially and lead to tens of magnitude larger within limited simulation time steps, which may cause the exhaust of computing memory, a re-normalization of simulation particle number approach is also implemented. In each electron impacting events, instead of emitting the real number of simulation particles predicted by secondary emission models, this re-normalization approach emit only one particle, and the current of newly emitted particle will be the current of incident particle multiplied by SEY value $\delta$.
+\clearpage
+\section{Commands Related to Multipacting Simulation}
+\label{sec:MultipactingCmd}
+To perform multipacting simulation, a triangulated surface geometry defined in the \keyword{GEOMETRY} command \seechp{geometry} must be specified and attached to the elements (currently only \keyword{RFCavity}, \keyword{ParallelPlate} and \keyword{Drift} elements are available for multipacting simulation).
+
+A distribution array, containing \keyword{SURFACEEMISSION} and \keyword{SURFACERANDCREATE} type of distributions, defined in the \keyword{DISTRIBUTION} command must be attached to the
+\keyword{GEOMETRY}. Users can use commands contained in \keyword{SURFACERANDCREATE} type of distribution to specify the position of initial \emph{seed} electrons. And commands within \keyword{SURFACEEMISSION} type of distribution can be used to customize the type and the parameters of secondary emission model in input file.
+
+A summary of multipacting simulation related parameters are given in \tabref{Multipactingcmd}.
+
+The following example shows the usage of the multipacting simulation related command.\\
+\examplefromfile{examples/multipacting.in}
+
+\begin{table}[ht] \footnotesize
+ \begin{center}
+ \caption{Multipacting Related Command Summary}
+ \label{tab:Multipactingcmd}
+ \begin{tabular}{|l|p{0.8\textwidth}|l|}
+ \hline
+ \tabhead{Command &Purpose (Default)}
+ \hline
+ \keyword{VW} \index{VW} & Velocity scalar in Maxwellian Dist (\SI{1.0}{\meter/\second})\\
+ \keyword{VVTHERMAL} \index{VVTHERMAL} & Thermal velocity in Maxwellian Dist (\SI{7.268929821e5}{\meter/\second})\\
+ \keyword{SECONDARYFLAG} \index{SECONDARYFLAG} & Secondary model type, 0:none, 1:Furman-Pivi, 2:Vaughan (\num{0})\\
+ \keyword{NEMISSIONMODE} \index{NEMISSIONMODE} & Emit real No. secondaries or not (\keyword{TRUE})\\
+ \keyword{VEZERO} \index{VEZERO} & SEY will be $\delta_0$, if energy is less than \keyword{VEZERO} in Vaughan's model (\SI{12.5}{\electronvolt})\\
+ \keyword{VSEYZERO} \index{VSEYZERO} & $\delta_0$ in Vaughan's model (\num{0.5})\\
+ \keyword{VSEYMAX} \index{VSEYMAX} & $\delta_{max}$ in Vaughan's model (\num{2.22})\\
+ \keyword{VEMAX} \index{VEMAX} & Energy related to $\delta_{max}$ in Vaughan's model (\SI{165}{\electronvolt})\\
+ \keyword{VKENERGY} \index{VKENERGY} & The roughness of surface for impact energy in Vaughan's model (\num{1.0}) \\
+ \keyword{VKTHETA} \index{VKTHETA} & The roughness of surface for impact angle in Vaughan's model (\num{1.0}) \\
+ \keyword{SURFMATERIAL} \index{SURFMATERIAL} & The material type for Furman-Pivi model, 0: copper; 1: stainless steel (\num{0})\\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\clearpage
+\section{Run Parallel Plate Benchmark}
+\label{sec:RunPP}
+\index{RunPP}
+Both the Furman-Pivi's model and Vaughan's model have been carefully benchmarked in both re-normalize simulation particle approach and real simulation particles approach against a non-stationary multipacting theory \cite{nonstationary}. The \opal simulation results and the theory match very well \seefig{PPFurman-Pivi,PPVaughan}.
+\begin{figure}[ht]
+ \begin{center}
+ \includegraphics[width=1\linewidth,angle=0]{figures/Multipacting/const_particle_benchmark_FurmanPivi.pdf}
+ \caption{Time evolution of electron number predicted by theoretical model and \opal simulation using Furman-Pivi's secondary emission model with both constant simulation particle approach and real emission particle approach at $f=\SI{200}{\mega\hertz}$, $V_0=\SI{120}{\volt}$, $d=\SI{5}{\milli\meter}$}
+ \label{fig:PPFurman-Pivi}
+ \end{center}
+\end{figure}
+\begin{figure}[ht]
+ \begin{center}
+ \includegraphics[width=1\linewidth,angle=0]{figures/Multipacting/const_particle_benchmark.pdf}
+ \caption{Time evolution of electron number predicted by theoretical model and \opal simulation using Vaughan's secondary emission model with both constant simulation particle approach and real emission particle approach at $f=\SI{1640}{\mega\hertz}$, $V_0=\SI{120}{\volt}$, $d=\SI{1}{\milli\meter}$.}
+ \label{fig:PPVaughan}
+ \end{center}
+\end{figure}
+
+To run the parallel plate benchmark simulation, user need to set the option \keyword{PPDEBUG} in the input file $\mathbf{true}$. The input file and the geometry file needed by the parallel plate benchmark simulation can be found in the regression test folder.
+\clearpage
+\section{Post-Processing}
+\label{sec:PostProcessing}
+\index{Multipacting!PostProcessing}
+In the general case (not only in multipacting simulations), \opal will dump the 6D phase space and statistical information of the particles in the simulation domain, into a \filename{h5} file. The dump frequency, i.e., after how many time steps the particle information will be saved can be specified with the option \keyword{PSDUMPFREQ}. Setting \keyword{Option, PSDUMPFREQ=1} dumps the information in each time step.
+
+A utility tool \filename{h5ToVtk} converts the \filename{h5} file to the Visualization Toolkit (VTK) legacy format. The number of VTK files equals to the number of time steps in \filename{h5} file. These VTK files together with a VTK file automatically generated by the geometry class of \opal which contains the geometry of the RF structure under study can be visualized using for example with Paraview \cite{paraview}. The animation and clip feature of Paraview is very useful to visualize the particle motion inside the RF structure.
+
+For simulations involving the geometry (multipacting and field emission), \opal will also dump the position and current of incident particles into another \filename{h5} file with the name \filename{*\_Surface.h5}, where the asterisk stands for the base name of the user's \opal input file. If we need this surface loss data during post processing, we should specify the dump frequency in the option \keyword{SURFDUMPFREQ} with a positive integer in the \opal input file, otherwise, the default value of the option is \keyword{SURFDUMPFREQ=-1}, and the \filename{*\_Surface.h5} will not be generated. Another utility tool \filename{h5SurfaceVtk} convert the \filename{*\_Surface.h5} file to VTK files. For multipacting simulation, these VTK files can be used to visualize the \emph{hot spots} of the RF structure where multipacting happens.
+
+The above mentioned utility tools are based on H5hut library, and will soon be available in the distribution.
+
+Some of the boundary geometry related simulations, like the multipacting simulation using re-normalizing particle number approach, or dark current simulations where the current of field emitted particles from a single triangle has been re-normalized as the model predicted current has exceeded the user defined upper limit, the current (weight) of simulation particles varies and each simulation particle stands for more physical particles than the initial simulation particles. In these cases, instead of using simulation particles, we count the number of \emph{effective particles} defined as the ratio of total current in simulation over the current of a single initial particle.
+
+An ASCII file named \filename{Part\_statistics.dat} containing the simulation time, the number of impacts and associated total SEY value as well as the number of \emph{effective particles} in each time step. This makes the analysis of the time evolution of particle density feasible with tools like GNUPLOT.
+
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/opal-flavours.tex b/doc/user_guide/opal-flavours.tex
new file mode 100644
index 0000000000000000000000000000000000000000..7786d37e7e09675a9fd048994f8a0adb00efdabf
--- /dev/null
+++ b/doc/user_guide/opal-flavours.tex
@@ -0,0 +1,964 @@
+%=================================================
+%=================================================
+%
+% WARNING: NOT USED IN opal_user_guide.tex
+%
+%=================================================
+%=================================================
+
+\input{header}
+
+
+\chapter{\opal Flavours}
+\label{chp:opalFlavours}
+\index{opalFlavours}
+
+\section{\opalt}
+\opalt is a fully three-dimensional program to track in time, relativistic particles taking into account space charge forces, self-consistently in the electrostatic approximation, and short-range longitudinal and transverse wake fields. \opalt is one of the few
+codes that is implemented using a parallel programming paradigm from the ground up. This makes \opalt indispensable for
+high statistics simulations of various kinds of existing and new accelerators. It has a comprehensive set of beamline
+elements, and furthermore allows arbitrary overlap of their fields, which gives \opalt a capability
+to model both the standing wave structure and traveling wave structure. Beside IMPACT-T it is the only code making use of
+space charge solvers based on an integrated Green \cite{qiang2005, qiang2006-1,qiang2006-2} function to efficiently and accurately treat beams with
+large aspect ratio, and a shifted Green function to efficiently treat image charge effects of a cathode \cite{fubiani2006,qiang2006-1,qiang2006-2}.
+For simulations of particles sources i.e. electron guns \opalt uses the technique of energy binning in the electrostatic space charge calculation to model beams with large
+energy spread. In the very near future a parallel Multi Grid solver taking into account the exact geometry will be implemented.
+
+\subsection{Integration of the Equation of Motion}
+\opalt integrates the relativistic Lorentz equation
+\begin{equation}
+F(\vec{x},\vec{v},t) = m_0 \frac{\gamma \vec{v}}{dt} = \frac{q}{m}[\vec{E}_{ext} + \vec{E}_{sc} + \vec{v} \times (\vec{B}_{ext} + \vec{B}_{sc})]
+\end{equation}
+where $\gamma$ is the relativistic mass factor and $\vec{E}$ and $\vec{B}$ are abbreviations for $\vec{E}(\vec{x},\vec{v},t)$ and $\vec{B}(\vec{x},\vec{v},t)$
+respectively. \latermore .
+
+% NEED WORK ADA
+%\begin{equation}
+%\vec{x}_{n+1/2} = \vec{x}_{n} + \frac{1}{2}\vec{v}_{n-1/2}\quad (= \vec{x}_{n} + \frac{\Delta t}{2} \frac{\vec{\beta}_{n-1/2}\gamma_{n-1/2}}{\gamma_{n-1/2}})
+%\end{equation}
+
+%Update the momenta using the $D_1$ algorithm as described in Birdsall and Langdon's book.
+
+%\begin{equation}
+% \vec{v}_{n+1/2} = \frac{1}{2} \overline{\vec{a}_{n}} \Delta t + R \cdot (\vec{v}_{n-1/2} + \frac{1}{2} \overline{\vec{a}_{n}} \Delta t)
+%\end{equation}
+%
+%
+% where the operator $R$ effects a rotation through angle $-2\tan^{-1}(\vec{\Omega} \Delta t/2)$ where $\vec{\Omega} = Q \vec{B}_{n}/(m_{e} c)$.
+% $R$ can be written as
+% \begin{equation}
+% R = \frac{(1 - \Theta^2) I + 2 \Theta \transpose{\Theta} - 2 \Theta \times I }{1+\Theta}
+% \end{equation}
+% where $\vec{\Theta} = \vec{\Omega} \Delta t/2 $ and $I$ is the unit tensor.
+%
+
+
+\subsection{Space Charge}
+\label{sec:opalFlavours:spacecharge}
+\index{SpaceCharge}
+space charge effects will be included in the simulation by specifying a field solver described in \chpref{fieldsolver} and using the solver in the
+track command described in \chpref{track}.
+By default, the code does not assume any symmetry i.e. full 3D. In the near future it is planed to implement also a slice (2D) model.
+This will allow the use of less numbers of macro-particles in the simulation which reduces the computational time
+significantly.
+
+The space charge forces are calculated by solving the 3D Poisson equation with open boundary conditions
+using a standard or integrated Green function method. The image charge effects of the conducting cathode are also
+included using a shifted Green function method. If more than one Lorentz frame is defined, the total space charge forces are then the summation of contributions from all Lorentz frames. \latermore
+
+\subsubsection{FFT Based Particle-Mesh (PM) Solver}
+ \latermore
+
+% NEED WORK ADA
+%The Particle-Mesh (PM) \cite{hockney} solver is one of the oldest improvements over the PP solver. Still one of the best references is the book by R.W.~Hockney \& J.W.~Eastwood \cite{hockney}.
+%The PM solver introduces a discretization of space. The rectangular computation domain $\Omega:=[-L_x,L_x]\times[-L_y,L_y]\times[-L_t,L_t]$, just big enough to include all particles, is segmented into a regular mesh of $M=M_x\times M_y\times M_t$ grid points.
+
+
+%In order to obtain ${\cal M}_2$ in \Eq{eq:splitOper1} we must solve Poisson's equation,
+%where $\rho$ stands for the
+%charge density and $\phi$ for the scalar electrostatic potential:
+%\begin{equation}\label{Poisson}
+%\nabla^2 \phi(\vec{q}) = - \frac{\rho(\vec{q})}{\epsilon_0}
+%\end{equation}
+%subject to open boundary conditions in all spatial directions: $\phi (\vec{q}) \rightarrow 0$ as $|\vec{q}| \rightarrow \infty$ or
+%imposing periodic boundary conditions in longitudinal directions. The assumption of using an ``isolated system`` is physically
+%motivated by observing the ratio of the beam size to vacuum vessel domensions. It has the computational advantages that one can use cyclic convolution in \eqref{eq:FourierPoisson}.
+%The computational domain $\Omega \subset \R^3$ is simply connected and has a cylindrical
+%or rectilinear shape.
+%The corresponding integral equation reads:
+%\begin{equation}
+%\phi(\vec{q}) = \dis\int\limits_\Omega \, G(\vec{q} - \vec{q}\primed) \,\rho (\vec{q'}) \,d \vec{q}\primed , \;\;\Omega \subset \R^3
+%\end{equation}
+%where $G$ is the Green's function which gives the response to a unit source term. In 3D we have
+%\begin{equation}
+%G(\vec{q}-\vec{q}\primed) = \dis\frac{1}{4 \pi \,|\vec{q} - \vec{q}\primed|} \,.
+%\end{equation}
+%The electric field then follows from the electrostatic potential
+%\begin{equation}\label{Electric}
+%\vec{E} = - \nabla \phi.
+%\end{equation}
+
+%The charges are assigned from the particle positions in continuum, onto the grid using
+%one of two available interpolation schemes: cloud in cell (CIC) or nearest grid point (NGP).
+%Then the Poisson equation is solved on the mesh and the electric field at the particle positions is obtained by
+%interpolating back from the mesh. The use of the convolution theorem to solve the discretized Poisson
+%equation \eqref{Poisson} on the grid can dramatically improve performance.
+
+%Let $\Omega^D$ be spanned by a mesh of $l \times n \times m$ with $l= 1 \dots M_x$, $n= 1\dots M_x$ and $m= 1 \dots M_t$.
+%The solution of the discretized Poisson equation with $\vec{k}=(l,n,m,)$
+%\begin{equation}\label{eq:DiscretizedPoisson}
+%\nabla^{2} \phi^D(\vec{k}) = - \frac{\rho^D(\vec{k})}{\epsilon_0}, \vec{k} \in \Omega^D.
+%\end{equation}
+%$\phi^D$ then is given by convolution with the appropriate discretized Green's function $G_D$:
+%\begin{equation}
+%\phi^D = \rho^D * G^D.
+%\end{equation}
+%In Fourier space (hats) the convolution becomes a simple multiplication, with
+%\[
+%G(\vec{q})=\frac{1}{4\pi}\frac{1}{|\vec{q}|}\longrightarrow \widehat{G}(\vec{k})=-\frac{1}{4\pi}\frac{1}{|\vec{k}|^2}
+%\]
+%and we get:
+%\begin{equation}\label{eq:FourierPoisson}
+%\widehat{\phi}^D = \widehat{\rho}^D \cdot \widehat{G}^D.
+%\end{equation}
+%Thus, the convolution sum is converted to a single multiplication at the cost of a Fourier transform. Fortunately, Fast Fourier Transform (FFT) on the mesh is a very fast and accurate method
+%of transforming mesh-defined quantities to Fourier space. It needs $\mathcal{O}$($M\log M$) computational effort, so that, together with the interpolations, an overall scaling of $\mathcal{O}$($N+M\log M$) is achieved.
+
+%In order to have good spatial resolution, small grid sizes are often necessary, which again require a
+%large number of particles. Therefore, both the grid size $M$ and the particle number $N$
+%are limiting factors.
+%The PM Solver Algorithm is summarized in the following algorithm:
+%\begin{tabbing}
+%{\bf PM Solver Algorithm}\\
+%\quad $\triangleright$ Assign particle charges $q_i$ to nearby mesh points to obtain $\rho^D$ \\
+%\quad $\triangleright$ Use FFT on $\rho^D$ and $G^D$ to obtain $\widehat{\rho}^D$ and $\widehat{G}^D$ \\
+%\quad $\triangleright$ Determine $\widehat{\phi}^D$ on the grid using $\widehat{\phi}^D = \widehat{\rho}^D \cdot \widehat{G}^D$ \\
+%\quad $\triangleright$ Use inverse FFT on $\widehat{\phi }^D$ to obtain $\phi^D$ \\
+%\quad $\triangleright$ Compute $\vec{E}^D= -\nabla \phi^D$\footnote{using a second order finite difference method} \\
+%\quad $\triangleright$ Interpolate $\vec{E(\vec{q})}$ at particle positions $\vec{q}$ from $\vec{E}^D$ \\
+%\end{tabbing}
+%\subsubsection{Open and Periodic Boundary Conditions}
+%In order to meet open boundary conditions and to remove the intrinsic periodicity of the FFT, the grid size needs to be doubled in all spatial dimensions and the charge distribution is located at only one octant. The charge distribution is set equal to zero elsewhere. If the potential is then calculated in the entire enlarged region, the correct potential for an isolated system is obtained in the `physical' octant. This is referred to as the `Hockney Trick' \cite{hockney}. For periodic boundary conditions in the longitudinal direction, the Hockney trick is applied to the transverse directions only.
+%The main drawback of this method is its high storage requirement. However, using symmetries one is
+%able to bound the required storage to $2N_g$ where $N_g$ is the grid size used in the physical
+%region of the calculation (see \cite{hockney} on p. 213).
+\subsubsection{Interpolation Schemes}
+ \latermore
+
+%\label{sec:interpol}
+%Both charge assignment and electric field interpolation are related to the interpolation
+%scheme used. A detailed discussion is given in~\cite{hockney}.
+%If $e_i$ is the charge of a particle, we can write the density at mesh point $\vec{k}_m$ as
+%\begin{equation}\label{eq:discRho}
+%\rho(\vec{k}_m)^D = \sum_{i=1}^N e_i\cdot W(\vec{q}_i,\vec{k}_m), ~ m=1\dots M
+%\end{equation}
+%where $W$ is a suitably chosen weighting function (with local support).
+%The simplest scheme is the nearest grid point (NGP) method, where the total particle charge is assigned to
+%the nearest grid point and the electric field is also evaluated at the nearest grid point. A more
+%elaborate scheme is called cloud in cell (CIC). It assigns the charge to the $2^d$ nearest grid points and
+%also interpolates the electric field from these grid points. The assigned density changes are continuous when
+%a particle moves across a cell boundary, although the first derivative is discontinuous. A schematic of the
+%CIC interpolation scheme is shown in \figref{CIC} for the two-dimensional case.
+%%total momentum consered. errors small at large particle separations. charge assignement schould vary smoothly as particle position changes.
+% \begin{figure}
+% \begin{center}
+%% \includegraphics[width=0.75\linewidth]{\figdir/cic.eps}
+% \caption[CIC interpolation scheme]{\label{fig:CIC} \it CIC interpolation scheme.}
+% \end{center}
+% \end{figure}
+
+\subsubsection{Iterative Space Charge Solver}
+This is a scalable parallel solver for the Poisson equation
+ within a Particle-In-Cell (PIC) code for the simulation of electron
+ beams in particle accelerators of irregular shape. The problem is
+ discretized by Finite Differences. Depending on the treatment of the
+ Dirichlet boundary the resulting system of equations is symmetric or
+ `mildly' nonsymmetric positive definite. In all cases, the system is
+ solved by the preconditioned conjugate gradient algorithm with
+ smoothed aggregation (SA) based algebraic multigrid (AMG)
+ preconditioning. More details are given in \cite{Adelmann:2009p543}.
+
+\subsubsection{Energy Binning}
+The beam out of a cathode or in a plasma wake field accelerator can have a large energy spread.
+In this case, the static approximation using one Lorentz frame might not be sufficient. Multiple
+Lorentz frames can be used so that within each Lorentz frame the energy
+spread is small and hence the electrostatic approximation is valid.
+ \latermore
+
+
+\subsection{Wake Fields}
+Longitudinal and transverse short range wakefields wake fields are described in \chpref{wakefields}.
+
+\subsection{Multiple Species}
+In the present version only one particle species can be defined \seechp{physics}), however
+due to the underlying general structure, the implementation of a true multi species version of \opal is
+trivial.
+
+\subsection{Field Maps}
+\label{sec:fieldmaps}
+The file format used for the field maps is derived from the T7 file format as produced by Superfish~\cite{superfish} but also ASTRA type of field maps are supported. A valid field map consists of a few header lines and a rest representing regularly spaced interpolation points either in 1D, 2D or 3D. ASTRA field maps consist of one or two header lines (not supported by ASTRA) and possibly non-equidistant interpolation points. In the case of 2D and 3D field maps the fields at a given position are calculated by linear interpolation from the nearest grid points. In the case of 1D field maps a Fourier transformation is used to calculate the longitudinal derivatives of the on-axis field. From these the fields at any position in space are calculated.
+
+To calculate the off-axis field the $1^{\mathrm{st}}$, $2^{\mathrm{nd}}$ and $3^{\mathrm{rd}}$ derivative have to be computed. \opalt uses a Fourier transformation in conjunction with a low pass filter (only a number of low frequency Fourier coefficients are kept). In order to apply a Fast Fourier Transformation the data has to be equidistant. To this end the sampling values of an ASTRA field map are resampled using a cubic spline interpolation. The number of sampling points is preserved in this process. From the resulting sampling the Fourier coefficients are calculated.
+
+It is important to note that when a field map is read into \opalt, it is normalized so that the peak field value is equal to either 1 MV/m,
+in the case of electric field maps, or 1 T, in the case of magnetic field maps. So, when using a field map in an accelerating cell, for instance,
+the peak field in the simulation will be equal to the field scaling factor you specify in your input file.
+
+At the beginning of the first line information of the kind of field map has to be provided in form of a string. This can either be:
+
+\begin{description}
+\item[1DElectroStatic]
+if the file describes a 1D electrostatic field map. 1D field maps are described by the on-axis field.\\
+Not implemented yet, use a 1DDynamic field map with very low frequency instead.
+\item[1DMagnetoStatic]
+if the file describes a 1D magnetostatic field map.
+\item[AstraMagnetoStatic]
+if the file describes a 1D magnetostatic field map with possibly non-equidistant sampling. This file type is compatible with ASTRA field maps with small changes.
+\item[1DDynamic]
+if the file describes a 1D dynamic electromagnetic field map.
+\item[AstraDynamic]
+if the file descirbes a 1D dynamic electromagnetic field map with possibly non-equidistant sampling. This file type is compatible with ASTRA field maps with small changes.
+\item[1DProfile1]
+if the file contains Enge coefficients (see \cite{enge}) which describe the fringe field of an element. From these the correct field at any position is calculated. This type of field map is special in the sense that the class processing these files doesn't return the actual field at a position but rather the on-axis field profile and its first and second derivatives. The classes (elements) supporting this kind of field map have to deal with this appropriately. At the moment only the rectangular bend (RBEND) and the sector bend (SBEND) elements in \opal-t can use this type of field file.
+\item[1DProfile2]
+if the file describes a mid plane on-axis field profile which is processed to get the corresponding Enge coefficients. Otherwise this type is the same as 1DProfile1.
+\item[2DElectroStatic]
+if the file describes a 2D electrostatic field map. 2D field maps are described by the electromagnetic field in one half-plane.
+\item[2DMagnetoStatic]
+if the file describes a 2D magnetostatic field map.
+\item[2DDynamic]
+if the file describes a 2D dynamic electromagnetic field map.
+\item[3DElectroStatic]
+if the file describes a 3D electrostatic field map.\\
+Not implemented yet.
+\item[3DMagnetoStatic]
+if the file describes a 3D magnetostatic field map.\\
+Not implemented yet.
+\item[3DDynamic]
+if the file describes a 3D dynamic electromagnetic field map.
+\end{description}
+In the case of the 1DDynamic, 1DMagnetoStatic, 1DElectroStatic, AstraMagnetostatic and the AstraDynamic field maps one finds in addition one integer number on the first line of the file describing the number of Fourier coefficients to be used in the calculation of the derivative of the on-axis field.
+
+In the case of 2D and 3D field maps an additional string has to be provided describing the orientation of the field map.
+
+For 2D field maps this can either be
+\begin{description}
+\item[XZ]
+if the primary direction is in z direction and the secondary in r direction.
+\item[ZX]
+if the primary direction is in r direction and the secondary in z direction.
+\end{description}
+
+For 3D field maps this can be
+\begin{description}
+\item[XYZ]
+if the primary direction is in z direction, the secondary in x direction and the tertiary in y direction
+\item[YXZ]
+if the primary direction is in z direction, the secondary in y direction and the tertiary in x direction.\\
+Not implemented yet!
+\item[ZYX]
+if the primary direction is in x direction, the secondary in z direction and the tertiary in y direction.\\
+Not implemented yet!
+\item[YZX]
+if the primary direction is in x direction, the secondary in y direction and the tertiary in z direction.\\
+Not implemented yet!
+\item[XZY]
+if the primary direction is in y direction, the secondary in x direction and the tertiary in z direction.\\
+Not implemented yet!
+\item[ZXY]
+if the primary direction is in y direction, the secondary in z direction and the tertiary in x direction.\\
+Not implemented yet!
+\end{description}
+
+Each line after the header corresponds to a grid point of the field map. This point can be referred to by two indices in the case of a 2D field map and three indices in the case of a 3D field map respectively. Each column describes either $E_z,\; E_r,\; B_z,\; B_r\; \text{or}\;H_t$ in the 2D case and $E_x, E_y, E_z,\; B_x,\; B_y,\;\text{or}\; B_z$ in the 3D case.
+
+By primary, secondary and tertiary direction is meant the following (see also \figref{order1,order2}):
+\begin{itemize}
+\item
+the index of the primary direction increases the fastest, the index of the tertiary direction the slowest.
+\item
+the order of the columns is accordingly: if the z direction in an electrostatic field map is the primary direction then $E_z$ is on the first column, $E_r$ on the second. For all other cases it's analogous.
+\end{itemize}
+
+\begin{figure}[ht]
+ \begin{center}
+ \includegraphics[origin=bl,height=40mm,angle=0]{./figures/Fieldmaps/order-1.pdf}
+ \caption[Order of field values in a 2D field map in XZ orientation]{2D field map with primary direction corresponding to the longitudinal, secondary direction to the transverse direction}
+ \label{fig:order1}
+ \end{center}
+\end{figure}
+
+\begin{figure}[ht]
+ \begin{center}
+ \includegraphics[origin=bl,height=40mm,angle=0]{./figures/Fieldmaps/order-2.pdf}
+ \caption[Order of field values in a 2D field map in ZX orientation]{2D field map with primary direction corresponding to the transverse, secondary direction to the longitudinal direction}
+ \label{fig:order2}
+ \end{center}
+\end{figure}
+
+For the 2D dynamic case in XZ orientation there are four columns: $E_z$, $E_r$, an unused column and $H_t$ in this order. In the other orientation the first and the second column and the third and fourth column are interchanged.
+
+On the second line of the header of a 1D, 2D or 3D T7 type of field map the beginning and the end of the electromagnetic field relative to the physical element in primary direction is written (in centimeters!). Also written on the second line is the number of {\bf mesh spacings}, corresponding to the {\bf number of grid points minus 1}. For the ASTRA compatible field maps this line is omitted.
+
+On the third line is the frequency. For static cases this line is omitted. The frequency is on the second line of a AstraDynamic field map.
+
+The fourth line corresponds to the second line but in secondary direction and the fifth accordingly for the tertiary direction. In the case of a 1D or 2D the fifth line is omitted since there is no tertiary direction. Those two lines are omitted in the ASTRA compatible field maps.
+
+On the sixth line follows the first line with field values as described above.
+
+Even though there is no secondary direction in the 1D case the header of a 1D field map is equal to its 2D equivalent: the elements can be provided with a boolean attribute FAST which has only an effect in conjunction with a 1D field map. The code then generates internally a 2D field map and the field strengths are interpolated as in the case of 2D and 3D field maps instead of being calculated using the Fourier coefficients. The fourth line determines the transverse dimension and the grain size of the produced mesh.
+
+For examples of field maps see \appref{app_fieldmaps} on page~\pageref{chp:app_fieldmaps}.
+
+The field maps {\bf 1DProfile1} and {\bf 1DProfile2} are different from the rest since no actual fields are stored but a profile. They are used to represent the fringe fields of various elements. The actual fields used in an \opalt simulation are calculated using Enge functions \cite{enge}. In turn, the Enge functions are declared in two different ways. A {\bf 1DProfile1} field map gives the coefficients of the Enge function explicitly. A {\bf 1DProfile2} field map stores the profile itself. From this profile the Enge coefficients are calculated by solving a least-square equation.
+
+On the first line after the string describing the type of field map two integer numbers and a floating point number follow. The first integer number describes the number of Enge coefficients to be used for the entry fringe field, the second the equivalent for the exit fringe field. The floating point number specifies the full gap height. On the second line the first value describes the beginning of the entry fringe field (in local coordinates; corresponds to {\sl zbegin\_entry} in \figref{fringefields,fringefields-sbend}), the second the origin of the Enge polynomial, the third the end of the fringe field ({\sl zend\_entry}). The last number of this line is only used in {\bf 1DProfile2} and specifies the number of grid points minus 1 of the field profile. The third line looks identical to the sdcond, but the last value on this line is not used yet. The values on this line correspond to {\sl zbegin\_exit, origin of Enge function} and {\sl zend\_exit} in \figref{fringefields,fringefields-sbend}. The following lines are the coefficients of the Enge function in the case of {\bf 1DProfile1} and the actual field profile in {\bf 1DProfile2}, see \appref{app_fieldmaps}.
+
+Note that {\sl zbegin\_entry}, {\sl zend\_entry}, {\sl zbegin\_exit} and {\sl zend\_exit} have slightly different definitions when defining a rectangular bend as opposed to a sector bend (\figref{fringefields,fringefields-sbend}).
+
+
+
+\begin{figure}[ht]
+ \begin{center}
+ \includegraphics[origin=bl,height=100mm,angle=0]{./figures/Fieldmaps/profile-1.pdf}
+ \caption{The profile of a rectangular bend and its corresponding design path.}
+ \label{fig:fringefields}
+ \end{center}
+\end{figure}
+
+\begin{figure}[ht]
+ \begin{center}
+ % \includegraphics[origin=bl,height=100mm,angle=0]{./figures/Fieldmaps/profile-sbend.pdf}
+ \includegraphics[origin=bl,height=100mm,angle=0]{./figures/Fieldmaps/profile-1.pdf}
+ \caption{FIXME The location and definitions of the Enge function coefficients for a sector bend
+ and its corresponding design path.}
+ \label{fig:fringefields-sbend}
+ \end{center}
+\end{figure}
+
+\clearpage
+
+\leftpointright As a general warning: be wise when you choose the type of field map to be used! The following three pictures show the longitudinal phase space after three gun simulations using different types of field maps. In the first picture, \Figure{figure_1ddynamic_step82}, we used a 1D field map which stores a sampling of the electric field in longitudinal direction, $E_z$. From these values $E_z$, $E_r$ and $B_t$ off-axis are calculated resulting in a smooth field. All field maps we used are made of the same solution file from a Poisson/Superfish simulation.
+\begin{figure}
+ %
+ \begin{center}
+ \includegraphics[origin=bl,height=80mm,angle=0]{./figures/Fieldmaps/1DDynamic_step82.png}
+ %
+ \caption{\label{fig:1ddynamic_step82}
+ The longitudinal phase space after a gun simulation using a 1D field map (on-axis field) of the gun.
+ }
+ %
+ \end{center}
+%
+\end{figure}
+
+In \Figure{figure_1ddynamic_fast_step82} we used the same on-axis field map as in the first but we used the FAST switch which constructs a 2D field map from the on-axis field maps. Between the grid points the fields are calculated using a linear interpolation. Here we see a structure which can be influence using more grid points in transverse direction.
+\begin{figure}
+ %
+ \begin{center}
+ \includegraphics[origin=bl,height=80mm,angle=0]{./figures/Fieldmaps/1DDynamic_fast_step82.png}
+ %
+ \caption{\label{figure_1ddynamic_fast_step82}
+ The longitudinal phase space after a gun simulation using a 1D field map (on-axis field) of the gun in combination with the FAST switch.
+ }
+ %
+ \end{center}
+%
+\end{figure}
+In the last picture, \Figure{figure_2ddynamic_step82}, we generated directely a 2D field map from the solution file of Poisson/Superfish. Here we could observe two different structures: first the fine structure stemming from the linear interpolation and secondly a much stronger structure of unknow origin.
+\begin{figure}
+ %
+ \begin{center}
+ \includegraphics[origin=bl,height=80mm,angle=0]{./figures/Fieldmaps/2DDynamic_step82.png}
+ %
+ \caption{\label{figure_2ddynamic_step82}
+ The longitudinal phase space after a gun simulation using a 2D field map of the gun generated by Poisson/Superfish.
+ }
+ %
+ \end{center}
+%
+\end{figure}
+
+
+\subsection{Field Maps from the Femaxx 3D Eigenmode Solver}
+
+Electromagnetic field maps for beam dynamics calculations originate from a number of different
+electromagnetic solvers, e.g. Superfish and similar codes.
+%%
+%%
+Here, we describe the current status of work in progress which will, eventually,
+allow the usage of field maps that have been computed with the femaxx $3$-dimensional
+electromagnetic eigenmodal solver \cite{bib:arbenzetal2001,bib:arbenzetal2006}.
+%%
+%%
+The femaxx code computes electromagnetic eigenmodes of resonant cavities of
+arbitrary $3$-dimensional shape and boundary conditions.
+%%
+Unlike Superfish and similar $2$-dimensional codes, femaxx is not restricted in the
+kind of geometry it can model. It is therefore possible to consider arbitrary
+shapes and their inclusion in beam dynamics and particle tracking calculations.
+%%
+%%
+Given a mesh of a $3$-dimensional geometry femaxx computes eigenomdal field
+decompositions.
+%%
+The user then specifies sampling locations for the electromagnetic eigenfields.
+%%
+At present, sampling locations are specified in terms of a cylinder shape,
+i.e. the user indicates the cylinder axis, the radial cylinder vector and
+the number of sampling locations in axial, radial and azimuthal directions.
+%%
+Once the eigenmodal solution has been computed the fields are sampled at
+these locations and stored in the T7 file format, for subsequent use in \opal.
+%%
+Considerable effort has been spent for the validation and benchmarking of
+beam dynamics calculations based on T7 field maps computed with femaxx.
+%%
+A pillbox cavity, i.e. a cylinder shape with a radius $r = 4.7$cm and
+height $h = 3$ cm, has been chosen for benchmarking purposes,
+due to the availability of an analytical solution.
+%%
+The analytical resonance frequency of the dominant mode is $2.441$ GHz.
+%%
+%%
+We have compared two cases with \opal: (1) The analytical solution has been
+sampled within a cylinder volume, stored into a T7 file and used in an \opal
+run; (2) the same pillbox shaped geometry has been discretization into tetrahedra
+and the eigenmodal fields were calculated with femaxx.
+%%
+These two cases were then compared, resulting in the following conclusions:
+%%
+(1) Using a relatively coarse mesh with some $110'000$ tetrahedra, the difference
+between the analytical and the numerical solution was usually smaller than
+$1$ percent.
+%%
+(2) Using an adaptively refined mesh, the difference between analytical and
+numerical solutions decreased below $1$ pro mille. The mesh is shown
+in \figref{figure_pillbox_adaptively_refined_mesh}.
+%%
+(3) It is thereofore imperative to usa a tetrahedral mesh which has been
+refined around the beam axis. It is definitely more efficient to use local
+refinement, based on physical argument, than simply refine the complete
+mesh in a uniform manner.
+%%
+
+
+We are now working towards benchmarking more complicated shapes in order to
+assess requirements w.r.t to meshes and modeling geometry so that we
+achieve the same or better accuracy as has been obtained from field
+maps that were computed with Superfish like solvers based on azimuthal symmetry.
+
+\begin{figure}
+ %
+ \begin{center}
+ \includegraphics[origin=bl,width=80mm,angle=0]{./figures/adaptivePillboxMesh.pdf}
+ %
+ \caption[Tetrahedral mesh of a pillbox shaped cavity]{\label{figure_pillbox_adaptively_refined_mesh}
+ We show the discretization of a pillbox shaped cavity geometry
+ into a tetrahedral mesh. The mesh has been adaptively
+ refined so that the region around the cylinder axis is
+ decomposed into smaller tetrahedra than those which are
+ further away from the axis.
+ }
+ %
+ \end{center}
+%
+\end{figure}
+
+\clearpage
+\subsection{Output}
+The data is stored in the H5hut file-format \cite{bib:howison2010} and can be analysed
+using the H5root \cite{bib:schietinger}. The frequency
+of the data output (phase space and some statistical quantities) can be set using the %FIXME {OPTION} statement \seesec{option},
+statement and the flag PSDUMPFREQ. The file is named like in input file but the extension is {\tt .h5}.
+
+\begin{figure}[ht]
+ \begin{center}
+ \includegraphics[width=0.45\linewidth,angle=0]{figures/H5rootPicture1}
+ \includegraphics[width=0.45\linewidth,angle=0]{figures/H5rootPicture2}
+ \caption{H5root enables a variety of data analysis and post processing task on \opal data}
+ \label{fig:h5root1}
+ \end{center}
+\end{figure}
+
+
+
+\begin{figure}[ht]
+ \begin{center}
+ \includegraphics[width=.9\linewidth,angle=0]{figures/H5rootPicture3}
+ \caption{Example of a longitudinal phase space shown with H5root}
+ \label{fig:h5root2}
+ \end{center}
+\end{figure}
+
+
+
+An ASCII file with statistical beam
+parameters is stored in a {\tt .stat} file. An SDDS file output is in preparation.
+
+\section{\opalcycl}
+\label{sec:opalcycl}
+\index{opalFlavours}
+
+\subsection{Introduction}
+
+\opalcycl is a fully three-dimensional parallel beam dynamics simulation program dedicated to future high intensity cyclotrons
+which is capable of both doing single particle tracking for conventional beam dynamics designs and
+multiple particles tracking which takes into account the space charge effects.
+
+For the first time in the cyclotron community, \opalcycl has the capability to track multiple bunches simultaneously
+and take into account the beam-beam effects of the radial neighboring bunches (we call it neighboring bunch effects for short)
+by using a self-consistent numerical simulation model.
+
+According to the number of particles defined (by the argument \texttt{NPART} in \texttt{BEAM}, see \chpref{beam}) ,
+\opalcycl selects the following three operation modes automatically:
+
+\begin{description}
+
+\item[Single Particle Tracking mode]
+
+ In this mode, only one particle is tracked, either with acceleration or not. Working in this mode, \opalcycl
+ can be used as a tool during the preliminary design phase of a cyclotron.
+
+ The 6D parameters of a single particle in the initial local frame must be read from a file. To do this, in the \opal input file,
+ the command line \texttt{DISTRIBUTION} \seechp{distribution} should be defined like this:
+\begin{verbatim}
+ Dist1: DISTRIBUTION, DISTRIBUTION=fromfile,
+ FNAME="PartDatabase.dat";
+\end{verbatim}
+ where the file $PartDatabase.dat$ should have two lines:
+\begin{verbatim}
+ 1
+ 0.001 0.001 0.001 0.001 0.001 0.001
+\end{verbatim}
+The number in the first line is the total number of particles.
+In the second line the data represents $x, p_x, y,$$ p_y, z, p_z$ with the reference particle
+in the local frame. The units are described in \secref{variablesopalcycl}.
+
+Please don't try to run his mode in parallel environment. You should believe that a single processor of the 21st century is capable of doing
+the single particle tracking.
+
+\item[Tune Calculation mode]
+
+ In this mode, two particles are tracked, one with all data is set to zero is the reference particle and another one is an off-centering particle
+ which has a little shift from the other one in both $r$ and $z$ directions. Working in this mode, \opalcycl can
+ calculate the betatron oscillation frequency $\nu_r$ and $\nu_z$ for different energies to evaluate the focusing characteristics
+ for a given magnetic field.
+
+ Like the single particle tracking mode,
+ the 6D parameters of the two particles in initial local frame must be read from a file, too.
+ In the file should has three lines:
+\begin{verbatim}
+ 2
+ 0.0 0.0 0.0 0.0 0.0 0.0
+ 0.001 0.0 0.0 0.0 0.001 0.0
+\end{verbatim}
+
+When the total particle number equals 2, this mode is triggered automatically.
+Only the element \texttt{CYCLOTRON} in the beam line is used and other elements are omitted if any exists.
+
+Please don't try to run his mode in parallel environment, either.
+
+
+\item[Multi-particle tracking mode]
+
+ In this mode, large scale particles can be tracked simultaneously, either with space charge or not,
+ either single bunch or multi-bunches, either serial or parallel environment,
+ either reading the initial distribution from a file or generating a typical distribution,
+ either running from the beginning or restarting from the last step of a former simulation.
+
+ Because this is the main mode as well as the key part of \opalcycl,
+ we will describe this in detail in \secref{opalcycl:MultiBunch}.
+
+\end{description}
+
+Generally speaking, the following aspects may be considered for quantitatively studying high intensity beam dynamics in cyclotrons:
+ \begin{itemize}
+ \item large scale particles, as many as possible, which is of course limited by computer sources;
+ \item measured magnetic field map or numerical calculated field with high precision;
+ \item numerical integrator with high precision;
+ \item powerful parallel Poisson solver with high precision and resolution;
+ \item imperfection and misalignment of the machine;
+ \item the influences of other factors induced by high intensity, such as beam-beam effects and weak field effects induced in the cavities.
+ \end{itemize}
+ In the following sections of this chapter, some of the above issues will be described in detail for \opalcycl.
+
+\subsection{Field Map}
+\label{sec:opalcycl:fildmap}
+In \opalcycl, the magnetic field is read from an ASCII type file. The field data should be stored in the cylinder coordinates frame
+( because the field map on the median plane of the cyclotron is usually measured in this frame ).
+
+There are two possible situations. One is the real field map on median plane of the exist cyclotron machine using measurement equipment.
+Limited by the narrow gaps of magnets, in most cases with cyclotrons, only vertical field $B_z$ on the median plane ($z=0$) is measured.
+Since the magnetic field data off the median plane field components is necessary for those particles with $z \neq 0$, the field need to be expanded in $Z$ direction.
+According to the approach given by Gordon and Taivassalo, by using a magnetic potential and measured $B_z$ on the median plane,
+at the point $(r,\theta, z)$ in cylindrical polar coordinates, the 3$th$ order field can be written as
+\begin{eqnarray}\label{eq:Bfield}
+ B_r(r,\theta, z) & = & z\diffp{B_z}{r}-\frac{1}{6}z^3 C_r, \nonumber\\
+ B_\theta(r,\theta, z) & = & \frac{z}{r}\diffp{B_z}{\theta}-\frac{1}{6}\frac{z^3}{r} C_{\theta}, \\
+ B_z(r,\theta, z) & = & B_z-\frac{1}{2}z^2 C_z, \nonumber
+\end{eqnarray}
+where $B_z\equiv B_z(r, \theta, 0)$ and
+\begin{eqnarray}\label{eq:Bcoeff}
+ C_r & = & \diffp[3]{B_z}{r} + \frac{1}{r}\diffp[2]{B_z}{r} - \frac{1}{r^2}\diffp{B_z}{r}
+ + \frac{1}{r^2}\diffp{B_z}{{r}{\theta^2}} - 2\frac{1}{r^3}\diffp[2]{B_z}{\theta}, \nonumber \\
+ C_{\theta} & = & \frac{1}{r}\diffp{B_z}{{r}{\theta}} + \diffp{B_z}{{r^2}{\theta}}
+ + \frac{1}{r^2}\diffp[3]{B_z}{\theta}, \\
+ C_z & = & \frac{1}{r}\diffp{B_z}{r} + \diffp[2]{B_z}{r} + \frac{1}{r^2}\diffp[2]{B_z}{\theta}. \nonumber
+\end{eqnarray}
+
+All the partial differential coefficients are on the median plane and can be calculated by interpolation. \opalcycl uses Lagrange's 5-point formula.
+
+The other situation is to calculate the field on the median plane or the 3D fields of the working gap for interesting region numerically by creating 3D model using commercial software,
+such as TOSCA, ANSOFT and ANSYS during the design phase of a new machine. If the field on the median plane is calculated, the field off the median plane can be obtained using
+the same expansion approach as the measured field map as described above. However, the 3D fields of the entire working gap should be more accurate than
+the expansion approach especially at the region not so close to the median plane in $Z$ direction.
+
+In the current version, we implemented the three specific type field-read functions $Cyclotron::$$getFieldFromFile()$ of the median plane fields.
+That which function is used is controlled by the parameters TYPE of CYCLOTRON \seesec{cyclotron} in the input file.
+\begin{enumerate}
+\item TYPE=CARBONCYCL.
+Program reads in the median plane field date $B_z$ (in kGauss) from a file in which the data is arranged as shown in \figref{CYCLField}.
+This function is originally for the field map of the PSI 450 MeV C12 cyclotron which is under design but can serve as a simple way to import ASCII
+field maps.
+\begin{figure}[ht]
+ \begin{center}
+ \includegraphics[origin=bl,height=40mm]{./figures/cyclotron/CarbonFieldFormat.pdf}
+ \caption{2D field map on the median plane with primary direction corresponding to the azimuthal direction, secondary direction to the radial direction}
+ \label{fig:CYCLField}
+ \end{center}
+\end{figure}
+We need to add 6 parameters at the header of a plain $B_z$ (kGauss) data file, namely,
+$r_{min}$ [mm], $\Delta r$ [mm], $\theta_{min}$[$^\circ$], $\Delta \theta$[$^\circ$],
+$N_\theta$ (total data number in each arc path of azimuthal direction) and $N_r$ (total path number along radial direction).
+If $\Delta r$ or $\Delta \theta$ is decimal, one can set its negative opposite number. For instance, if $\Delta \theta = \frac{1}{3}^\circ$, the fourth line of the header should be set to -3.0.
+Example showing the above explained format:
+\begin{fmpage}
+\begin{footnotesize}
+\begin{verbatim}
+3.0e+03
+10.0
+0.0
+-3.0
+300
+161
+1.414e-03 3.743e-03 8.517e-03 1.221e-02 2.296e-02
+3.884e-02 5.999e-02 8.580e-02 1.150e-01 1.461e-01
+1.779e-01 2.090e-01 2.392e-01 2.682e-01 2.964e-01
+3.245e-01 3.534e-01 3.843e-01 4.184e-01 4.573e-01
+ ......
+\end{verbatim}
+\end{footnotesize}
+\end{fmpage}
+\item TYPE=CYCIAE.
+
+Program reads in the median plane fields $B_z$ calculated by ANSYS\,10.0. This function is originally for the 100 MeV cyclotron of CIAE,
+ whose isochronous fields is numerically computed by by ANSYS. The median plane fields data is output by reading the APDL (ANSYS Parametric Design Language) script
+during the post-processing phase (you may need to do minor changes to adapt your own cyclotron model):
+\begin{fmpage}
+\begin{footnotesize}
+\begin{verbatim}
+/post1
+resume,solu,db
+csys,1
+nsel,s,loc,x,0
+nsel,r,loc,y,0
+nsel,r,loc,z,0
+PRNSOL,B,COMP
+
+CSYS,1
+rsys,1
+
+*do,count,0,200
+ path,cyc100_Ansys,2,5,45
+ ppath,1,,0.01*count,0,,1
+ ppath,2,,0.01*count/sqrt(2),0.01*count/sqrt(2),,1
+
+ pdef,bz,b,z
+ paget,data,table
+
+ *if,count,eq,0,then
+ /output,cyc100_ANSYS,dat
+ *STATUS,data,,,5,5
+ /output
+ *else
+ /output,cyc100_ANSYS,dat,,append
+ *STATUS,data,,,5,5
+ /output
+ *endif
+*enddo
+finish
+\end{verbatim}
+\end{footnotesize}
+\end{fmpage}
+By run this in ANSYS, you can get a fields file with the name $cyc100\_ANSYS.data$.
+You need to put 6 parameters at the header of the file, namely,
+$r_{min}$ [mm], $\Delta r$ [mm], $\theta_{min}$[$^\circ$], $\Delta \theta$[$^\circ$],
+$N_\theta$(total data number in each arc path of azimuthal direction) and $N_r$(total path number along radial direction).
+If $\Delta r$ or $\Delta \theta$ is decimal,one can set its negative opposite number. This is useful is the decimal is unlimited.
+For instance,if $\Delta \theta = \frac{1}{3}^\circ$, the fourth line of the header should be -3.0.
+In a word, the fields are stored in the following format:
+\begin{fmpage}
+\begin{footnotesize}
+\begin{verbatim}
+0.0
+10.0
+0.0e+00
+1.0e+00
+90
+201
+ PARAMETER STATUS- DATA ( 336 PARAMETERS DEFINED)
+ (INCLUDING 17 INTERNAL PARAMETERS)
+
+ LOCATION VALUE
+ 1 5 1 0.537657876
+ 2 5 1 0.538079473
+ 3 5 1 0.539086731
+ ......
+ 44 5 1 0.760777286
+ 45 5 1 0.760918663
+ 46 5 1 0.760969074
+
+ PARAMETER STATUS- DATA ( 336 PARAMETERS DEFINED)
+ (INCLUDING 17 INTERNAL PARAMETERS)
+
+ LOCATION VALUE
+ 1 5 1 0.704927299
+ 2 5 1 0.705050993
+ 3 5 1 0.705341275
+ ......
+\end{verbatim}
+\end{footnotesize}
+\end{fmpage}
+
+
+\item If the value of TYPE is other string rather than above two, programme read in field data from the PSI format field file {\small{ZYKL9Z.NAR}} and {\small{SO3AV.NAR}}.
+We add 4 parameters at the header of the file, namely,
+$r_{min}$ [mm], $\Delta r$ [mm], $\theta_{min}$[$^\circ$], $\Delta \theta$[$^\circ$],
+This is the default function for reading fields data.
+If $\Delta r$ or $\Delta \theta$ is decimal,one can set its negative opposite number. This is useful is the decimal is unlimited.
+For instance,if $\Delta \theta = \frac{1}{3}^\circ$, the fourth line of the header should be -3.0.
+\end{enumerate}
+{\bfseries You should revise the function or write your own function according to the instructions in the code to match your own field
+format if it is different to above three types.}
+The generic interface function for both the 2D measured map and the 3D field from file will be available in a later version.\\
+
+For more detail about the parameters of CYCLOTRON, please refer to \secref{cyclotron}.
+
+In the current version of \opalcycl, the RF cavities are treated as straight lines with infinitely narrow gaps
+and the electric field is a $\delta$ function plus a transit time correction.
+the two-gap cavity is treated as two independent single-gap cavities. the spiral gap cavity is not implemented yet.
+
+For more detail about the parameters of cyclotron cavities, see \secref{cavity-cycl}.
+
+The voltage profile of a cavity gap is read from ASCII file. Here is an example:
+\begin{verbatim}
+6
+0.00 0.15 2.40
+0.20 0.65 2.41
+0.40 0.98 0.66
+0.60 0.88 -1.59
+0.80 0.43 -2.65
+1.00 -0.05 -1.71
+\end{verbatim}
+The number in the first line means 6 sample points and in the following lines the three values represent the normalized distance to
+the inner edge of the cavity, the normalized voltage and its derivative respectively.
+
+\subsection{Particle Tracking and Accelerating}
+
+The precision of the tracking methods is vital for the entire simulation process, especially for long distance tracking jobs.
+\opalcycl uses a 4th order Runge-Kutta algorithm and the second order Leap-Frog scheme. The 4th order Runge-Kutta algorithm needs 4 the external magnetic field evaluation in each time step $\tau$ .
+During the field interpolation process, for an arbitrary given point the code first interpolates Formula $B_z$
+for its counterpart on the median plane and then expands to this give point using \Eq{eq:Bfield}.
+
+After each time step $i$, the code detects whether the particle crosses any one of the RF cavities during this step.
+If it does, the time point $t_c$ of crossing is calculated and the particle return back to the start point of
+step $i$. Then this step is divided into three substeps:
+first, the code tracks this particle for $ t_1 = \tau - (t_c-t_{i-1})$;
+then it calculates the voltage and adds momentum kick to the particle and refreshes its relativistic parameters $\beta$ and $\gamma$;
+and then trackes it for $t_2 = \tau - t_1$.
+
+\subsection{Space Charge Effects}
+
+\opalcycl uses the same solvers as \opalt to calculate the space charge effects \seesec{opalFlavours:spacecharge}.
+The difference is that, in a cyclotron,
+both the origin and orientation of the local Cartesian frame are changed from time to time. So the coordinates are transformed from
+the global frame to the local frame first, then the space charge fields are calculated in the local frame.
+After the space charge fields are solved, both coordinates and self electric and magnetic field are transformed back to global frame.
+
+In the current version, the space charge fields are calculated once for each time step and is kept constant during this step.
+
+\subsection{Multi-bunches Issues}
+\label{sec:opalcycl:MultiBunch}
+
+The neighboring bunches problem is motivated by the fact that for high intensity cyclotrons with small turn
+separation, single bunch space charge effects are not the only contribution. Along with the increment of beam
+current, the mutual interaction of neighboring bunches in radial direction becomes more and more important,
+especially at large radius where the distances between neighboring bunches get increasingly small and even they
+can overlap each other. One good example is PSI 590 MeV Ring cyclotron with a current of about 2mA in
+CW operation and the beam power amounts to 1.2 MW. A upgrade project for Ring is in process with
+the goal of 1.8 MW CW on target by replacing four old aluminum resonators by four new copper cavities with peak
+voltage increasing from about 0.7 MV to above 0.9 MV. After upgrade, the total turn
+number is reduced from 200 turns to less then 170 turns.
+Turn separation is increased a little bit, but still are at the same order
+of magnitude as the radial size of the bunches. Hence once the beam current increases from 2 mA to 3 mA, the mutual space
+charge effects between radially neighboring bunches can have significant impact on beam dynamics.
+In consequence, it is important to cover neighboring bunch effects in the simulation to quantitatively study its impact on the beam dynamics.
+
+In \opalcycl, we developed a new fully consistent algorithm of multi-bunches simulation. We implemented two working modes, namely ,
+\texttt{AUTO} and \texttt{FORCE}. In the first mode, only a single bunch is tracked and accelerated at the beginning,
+until the radial neighboring bunch effects become an important factor to the bunches' beheaver. Then the new bunches will be injected automatically to
+take these effects into accout. In this way, we can save time and memory sufficiently, and more important,
+we can get higher precision for the simulation in the region where neighboring bunch effects are neglectable.
+In the other mode, multi-bunches simulation starts from the injection points. This mode is appropriate for the machines in which this effects is
+unneglectable since the injection point.
+
+In the space charge calculation for multi-bunches, the computation region covers all bunches.
+Because the energy of the bunches is quite different, it is inappropriate to use only one particle rest frame and a single Lorentz transformation any more.
+So the particles are grouped into different energy bins and in each bin the energy spread is relatively small. We apply Lorentz transforming, calculate
+the space charge fields and apply the back Lorentz transforming for each bin separately. Then add the field data together. Each particle has a ID number to identify
+which energy bin it belongs to.
+
+\subsection{Input}
+All the three working modes of \opalcycl use an input file written in \mad language which will be described in detail in the following chapters.
+
+For the {\bfseries Tune Calculation mode}, one additional auxiliary file with the following format is needed.
+\begin{verbatim}
+ 72.000 2131.4 -0.240
+ 74.000 2155.1 -0.296
+ 76.000 2179.7 -0.319
+ 78.000 2204.7 -0.309
+ 80.000 2229.6 -0.264
+ 82.000 2254.0 -0.166
+ 84.000 2278.0 0.025
+\end{verbatim}
+In each line the three values represent energy $E$, radius $r$ and $P_r$ for the SEO (Static Equilibrium Orbit)
+at starting point respectively and their units are {\tt MeV, mm, mrad}.
+
+A bash script $tuning.sh$ is shown on the next page, to execute \opalcycl for tune calculations.
+\begin{fmpage}
+\begin{footnotesize}
+\begin{verbatim}
+ #!/bin/bash
+ rm -rf tempfile
+ rm -f plotdata
+ rm -f tuningresult
+
+ exec 6<FIXPO_SEO
+ N="260"
+ j="1"
+ while read -u 6 E1 r pr
+ # read in Energy, initil R and intial Pr of each
+ # SEO from FIXPO output
+ do
+ rm -rf tempfile
+ echo -n j =
+ echo "$j"
+ echo -n energy= > tempfile
+ echo -n "$E1" >> tempfile
+ echo ";" >> tempfile
+
+ echo -n r= >> tempfile
+ echo -n "$r" >> tempfile
+ echo ";" >> tempfile
+
+ echo -n pr= >> tempfile
+ echo -n "$pr" >> tempfile
+ echo ";" >> tempfile
+ # execute OPAL to calculate tuning frquency and store
+ opal testcycl.in --commlib mpi --info 0 | \
+ grep "Max" >>tuningresult
+ j=$[$j+1]
+ done
+ exec 6<&-
+ rm -rf tempfile
+
+ # post porcess
+ exec 8<tuningresult
+ rm -f plotdata
+ i="0"
+
+ while [ $i -lt $N ]
+ do
+ read -u 8 a b ur1 d
+ read -u 8 aa bb uz1 dd
+ echo "$ur1 $uz1" >>plotdata
+ i=$[$i+1]
+ done
+
+ exec 8<&-
+ rm -f tuningresult
+\end{verbatim}
+\end{footnotesize}
+\end{fmpage}
+To start execution, just run $tuning.sh$ which uses the input file $testcycl.in$ and the auxiliary file {\footnotesize$FIXPO\_SEO$}.
+The output file is $plotdata$ from which one can plot the tune diagram.
+
+\subsection{Output}
+{\bfseries Single Particle Tracking mode}
+
+The intermediate phase space data is stored in an ASCII file which can be used to
+the plot the orbit. The file's name is combined by input file name (without extension) and $-trackOrbit.dat$.
+The data are stored in the global Cartesian coordinates.
+The frequency of the data output can be set using the %FIXME {OPTION} statement \seesec{option} and the flag SPTDUMPFREQ.
+
+The phase space data per STEPSPERTURN (a parameter in the TRACK command) steps is stored in an ASCII file.
+The file's name is a combination of input file name (without extension) and $-after$$EachTurn.dat$.
+The data is stored in the global cylindrical coordinate system.
+Please note that if the field map is ideally isochronous, the reference particle of a given energy take exactly one revolution in STEPPERTURN steps;
+Otherwise,the particle may not go through a full $360^\circ$ in STEPPERTURN steps.
+
+There are 3 ASCII files which store the phase space data around $0$, $\pi/8$ and $\pi/4$ azimuths.
+Their names are the combinations of input file name (without extension) and $-Angle0.dat$, $-Angle1.dat$ and $-Angle2.dat$ respectively.
+The data is stored in the global cylindrical coordinate system, which can be used to check the property of the closed orbit.\\
+
+{\bfseries Tune calculation mode}
+
+ The tunes $\nu_r$ and $\nu_z$ of each energy are stored in a ASCII file with name $tuningresult$.\\
+
+{\bfseries Multi-particle tracking mode}
+
+The intermediate phase space data of all particles and some interesting parameters,
+including RMS envelop size, RMS emittance, external field, time, energy, length of path, number of bunches and
+tracking step, are stored in the H5hut file-format \cite{bib:howison2010} and can be analyzed
+using the H5root \cite{bib:schietinger}.
+The frequency of the data output can be set using the %FIXME {OPTION} statement \seesec{option} and the flag PSDUMPFREQ.
+The file is named like the input file but the extension is $.h5$.
+
+The intermediate phase space data of centeral particle (with ID of 0) and an off-centering particle (with ID of 1)
+are stored in an ASCII file. The file's name is combined by the input file name (without extension) and $-trackOrbit.dat$.
+The frequency of the data output can be set using the %FIXME{OPTION} statement \seesec{option} and the flag SPTDUMPFREQ.
+
+
+\ifthenelse{\boolean{ShowMap}}{
+\section{\opalmap} \label{sec:SplitOperatorMethods}
+
+Typically, the total Hamiltonian can be written as the sum of two parts, $H = H_{1} + H_{2}$,
+which correspond to the external and space charge contributions respectively.
+Such a situation is ideally suited to multi-map
+symplectic Split-Operator methods~\cite{forestall}, also known as fractional step methods \cite{SanzSerna}.
+A second-order accurate algorithm for a single step is given by
+\begin{equation} \label{eq:splitOper1}
+{\cal M}(\tau)={\cal M}_1(\tau/2)~{\cal M}_2(\tau)~{\cal M}_1(\tau/2) + \mathcal{O}(\tau^3)
+\end{equation}
+where $\tau$ denotes the step size, ${\cal M}_1$ is the map corresponding
+%\eqref{eq:mad9pham}
+to $H_{1}$ and ${\cal M}_2$ is the map corresponding to $H_{2}$.
+If desired this approach can be
+easily generalized to higher order accuracy using Yoshida's
+scheme. % ~\cite{yoshida}.
+This is the simplest 2nd order symplectic\footnote{Products of symplectic operators are symplectic as well.} Split-Operator integration method, which first applies all external forces for the first half of one integration step, then adds the complete influence of the internal forces for one entire integration step, and then applies another half of an integration step worth of external forces.
+Details following when \opalmap is implemented.
+}{}
+
+
+
+
+\section{General Output}
+\subsection{Timing Information}
+
+
+\index{opalFlavours)}
+
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/opal-madx.tex b/doc/user_guide/opal-madx.tex
new file mode 100644
index 0000000000000000000000000000000000000000..0d939ec89fe41c350064dbf88c9dd047aad42118
--- /dev/null
+++ b/doc/user_guide/opal-madx.tex
@@ -0,0 +1,83 @@
+\input{header}
+\chapter{\opal - MADX Conversion Guide}
+%\section*{Gaussian Distribution and Twiss Parameters in \texttt{OPAL} and \texttt{MADX}}
+We note with $\alpha$,$\beta$ and $\gamma$ the Twiss parameters.
+\begin{eqnarray*}
+\sigma_{beam} &=& \begin{pmatrix}\sigma_{x} & \sigma_{x p_{x}}\\\sigma_{x p_{x}} & \sigma_{ p_{x}}\end{pmatrix}
+= \begin{pmatrix} \sigma_{x} & \delta\cdot\sqrt{\sigma_{x}\sigma_{ p_{x}}}\\\delta\cdot\sqrt{\sigma_{x}\sigma_{ p_{x}}} & \sigma_{ p_{x}}\end{pmatrix}
+= \begin{pmatrix} <x^{2}> & <x p_{x}>\\<x p_{x}> & < p_{x}^{2}> \end{pmatrix} \\
+&=& \begin{pmatrix}
+ \frac{1}{N}\sum_{i=1}^{N}x_{i}^{2} & \frac{1}{N}\sum_{i=1}^{N}x_{i} p_{x_{i}}\\
+ \frac{1}{N}\sum_{i=1}^{N}x_{i} p_{x_{i}} & \frac{1}{N}\sum_{i=1}^{N} p_{x_{i}}^{2}
+ \end{pmatrix}
+= \epsilon\cdot\begin{pmatrix} \beta & -\alpha\\ -\alpha & \gamma\end{pmatrix}
+\end{eqnarray*}
+
+\begin{tabular}{l l l l l c l l l}
+$\bar{p}_{x}$ & = & $\sqrt{\frac{1}{N}\sum_{i=1}^{N} p_{x_{i}}^{2}}$ & = & $\sqrt{\sigma_{ p_{x}}}$ & & $\bar{x}$ & = & $\sqrt{\frac{1}{N}\sum_{i=1}^{N}x_{i}^{2}}$ \\
+
+$\bar{p}_{y}$ & = & $\sqrt{\frac{1}{N}\sum_{i=1}^{N}p_{y_{i}}^{2}}$ & = & $\sqrt{\sigma_{p_{y}}}$ & & $\bar{y}$ & = & $\sqrt{\frac{1}{N}\sum_{i=1}^{N}y_{i}^{2}}$ \\\\\\
+
+$\gamma$ & = & $\frac{E_{kin}+m_{p}}{m_{p}}$ & & & & $\beta$ & = & $\sqrt{1-\frac{1}{\gamma^{2}}} = \frac{v}{c}$\\
+
+$(\beta\gamma)$ & = & $\frac{E_{kin}+m_{p}}{m_{p}}\cdot\sqrt{1-\frac{1}{\gamma^{2}}}$& = & $\frac{\beta}{\sqrt{1-\beta^{2}}}$ & & $\text{B}\rho$ & = & $\frac{\left(\beta\gamma\right)\cdot m_{p}\cdot 10^{9}}{c}~\left[\text{T m}\right]$\\
+
+$m_{p}$ & = & $0.939277$ [GeV] & & & & $c$ & = & $299792458
+$ [m/s]\\
+\end{tabular}
+
+\begin{sidewaystable}
+\begin{tabular}{|l|c r|l c l |c r| }
+\hline
+Quantity & \multicolumn{2}{|c|}{\texttt{MADX}} & \multicolumn{3}{|c|}{Conversion} & \multicolumn{2}{c|}{\texttt{OPAL-Output}}\\\hline
+
+Momenta &$\bar{p}_{x}$ & [rad] & $\bar{p}_{x}$[$\beta\gamma$] &=& $\left(\bar{p}_{x}\left[\text{rad}\right]\right)\cdot\left(\beta\gamma\right)$ &$\bar{p}_{x}$ &[$\beta\gamma$]\\\hline
+
+Correlation of $\bar{x}$,$\bar{p}_{x}$ & $\delta$ & [1] & $\delta$ & = & $\left(\sigma_{x p_{x}}\left[\text{m }\text{rad}\right]\right)/\left(\left(\bar{p}_{x}\left[\text{rad}\right]\right)\cdot\left(
+\bar{x}\left[\text{m}\right]\right)\right)$ & $\delta$ & [1]\\
+
+ & & & & = &$\left(\sigma_{x p_{x}}\left[\text{m }\text{rad}\right]\right)/\sqrt{\left(\sigma_{x}\left[\text{m}^{2}\right]\right)\cdot\left(\sigma_{ p_{x}}\left[\text{rad}^{2}\right]\right)}$ & & \\\hline
+
+Emittance & $\epsilon_{x}$ & [m rad] &$\epsilon_{x}$[m $\beta\gamma$] &= & $\sqrt{\left( \bar{p}_{x}\left[ \beta\gamma \right] \right) ^{2} \cdot \left(\bar{x}\left[\text{m}\right]\right)^{2} - \left(\delta \cdot \left(\bar{x}\left[\text{m}\right]\right) \cdot \left(\bar{p}_{x}\left[\beta\gamma\right]\right)\right)^{2}} $ &$\epsilon_{x}$ &[m $\beta\gamma$] \\
+
+ & & & & = &$\sqrt{\left( \sigma_{{p}_{x}}\left[ \left(\beta\gamma\right)^{2} \right] \right)\cdot
+ \left(\sigma_{x}\left[\text{m}^{2}\right]\right) - \left(\delta \cdot
+ \sqrt{\left(\sigma_{x}\left[\text{m}^{2}\right]\right)\cdot\left(\sigma_{p_{x}}
+ \left[\left(\beta\gamma\right)^{2}\right]\right)}\right)^{2}} $ & & \\
+
+ & & & & = &$\sqrt{\left( \sigma_{{p}_{x}}\left[ \left(\beta\gamma\right)^{2} \right] \right)\cdot
+ \left(\sigma_{x}\left[\text{m}^{2}\right]\right) - \left(\sigma_{x p_{x}}\left[\text{m} ~\beta\gamma\right]\right)^{2}} $ & & \\\hline
+
+Twiss Parameter $\alpha$ & $\alpha$ & [1] & $\alpha\left[1\right]$ & = & $-\delta\cdot\left(\bar{x}\left[\text{m}\right]\right)\cdot\left(\bar{p}_{x}\left[\beta\gamma\right]\right)/\left(\epsilon_{x}\left[\text{m}~\beta\gamma\right]\right)$ &$\alpha_{T}$ & [1] \\
+
+ & & & & = & $-\delta\cdot\sqrt{\left(\sigma_{x}\left[\text{m}^{2}\right]\right)\cdot\left(\sigma_{ p_{x}}\left[\left(\beta\gamma\right)^{2}\right]\right)}/\left(\epsilon_{x}\left[\text{m}~\beta\gamma\right]\right)$ & & \\\hline
+
+
+Twiss Parameter $\beta_{T}$ & $\beta_{T}$ & [m/rad] & $\beta_{T}\left[\text{m}/\beta\gamma\right]$ & = &
+$\left(\bar{x}\left[\text{m}\right]\right)^{2}/\left(\epsilon_{x}\left[\text{m}~\beta\gamma\right]
+\right)$ &$\beta_{T}$&[m/$\beta\gamma$] \\
+
+ & & & & = & $\left(\sigma_{x}\left[\text{m}^{2}\right]\right)/\left(\epsilon_{x}\left[\text{m}~\beta\gamma\right]
+\right)$ & & \\\hline
+
+
+Twiss Parameter $\gamma_{T}$ & $\gamma_{T}$ & [rad/m] &$\gamma_{T}\left[\beta\gamma/\text{m}\right]$ & = &$\left(\bar{p}_{x}\left[\beta\gamma\right]\right)^{2}/\left(\epsilon_{x}\left[\text{m}~\beta\gamma\right]\right)$ &$\gamma_{T}$ &[$\beta\gamma$/m] \\
+
+ & & & & = & $\left(\sigma_{p_{x}}\left[\left(\beta\gamma\right)^{2}\right]\right)/\left(\epsilon_{x}\left[\text{m}~\beta\gamma\right]\right)$& & \\\hline
+
+Focusing strength & $k_{1}$ & $\left[\text{m}^{-2}\right]$ & $k_{1}\left[\text{T}/\text{m}\right]$ & = & $\left(k_{1}\left[\text{m}^{-2}\right]\right)\cdot\left(\text{B}\rho\left[\text{T m}\right]\right)$ & $k_{1}$ & $\left[\text{T}/\text{m}\right]$\\\hline\hline
+
+Quantity & \multicolumn{2}{c|}{\texttt{MADX}} & \multicolumn{3}{c|}{Conversion} & \multicolumn{2}{c|}{\texttt{OPAL-Input}}\\\hline
+
+Element Position & \texttt{at :=} & $\left[\text{m}\right]$ & \keyword{ELEMEDGE} & = & (Center of the element) - (Length of the element)/2 & \keyword{ELEMEDGE =} & $\left[\text{m}\right]$ \\
+
+ & \multicolumn{2}{c|}{\small{Center of the element}} & & & & \multicolumn{2}{|c|}{\small{Begin of the element}} \\\hline
+\hline
+
+Quantity & \multicolumn{2}{c|}{\texttt{OPAL-Output}} & \multicolumn{3}{c}{Conversion} & \multicolumn{2}{|c|}{\texttt{OPAL-Input}}\\\hline
+
+Momenta & $\bar{p}_{x}$ & $\left[\beta\gamma\right]$ & $p_{x}\left[\text{eV}\right]$ & = & $m_{p}\cdot10^{9}\cdot\left(\sqrt{\left(\bar{p}_{x}\left[\beta\gamma\right]\right)^{2} +1}-1\right)$ &$\bar{p}_{x}$ & [eV]\\\hline
+
+\end{tabular}
+\end{sidewaystable}
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/opal_user_guide.tex b/doc/user_guide/opal_user_guide.tex
new file mode 100755
index 0000000000000000000000000000000000000000..612ab913a287ce8d8bf38601465ff63a5add48e4
--- /dev/null
+++ b/doc/user_guide/opal_user_guide.tex
@@ -0,0 +1,155 @@
+\documentclass[a4paper]{book}
+
+\input{packages}
+\input{switches}
+\input{macros}
+
+%----Control Structures
+\newboolean{FullOPALManual}
+\setboolean{FullOPALManual}{true}
+
+%Trick to allow for individual document creation with header.tex
+%Define dummy command:
+\newcommand{\buildingFullOPALManual}[1]{\def\@buildingFullOPALManual{#1}}
+\buildingFullOPALManual{}
+
+
+\makeindex
+
+\bibliography{bibliography}
+
+\begin{document}
+
+\begin{titlepage}
+
+\begin{htmlonly}
+\begin{rawhtml}
+<center>
+PAUL SCHERRER INSTITUT
+<br>
+<h1>The OPAL Framework , Version \opalversion{} \footnote{Release Date: Not yet released!}</h1>
+<h2>(Object Oriented Parallel Accelerator Library)</h2>
+<h2>User's Reference Manual</h2>
+<br>
+Andreas Adelmann, Achim Gsell, Valeria Rizzoglio (PSI)\\ Christof Metzger-Kraus (HZB), \\ Yves Ineichen (IBM),\\ Xiaoying Pang, Steve Russell (LANL),\\ Chuan Wang, Jianjun Yang (CIAE), \\ Suzanne Sheehy, Chris Rogers (RAL) and \\ Daniel Winklehner (MIT)
+</center>
+\end{rawhtml}
+\end{htmlonly}
+
+\begin{latexonly}
+\begin{center}\normalsize
+\includegraphics[width=1.\linewidth,angle=0]{figures/psi_logo_wide}
+\end{center}
+\vskip 0.7cm
+PSI-PR-08-02
+
+%% \begin{flushright}
+%% \documentlabel \\ % document label
+%% \end{flushright}
+%% \vskip 2.3cm
+\begin{center}\LARGE % document title
+{\bf The OPAL Framework } \\
+(Object Oriented Parallel Accelerator Library) \\
+Version \opalversion\ \\
+(compiled \today)\\
+{\bf User's Reference Manual}
+\end{center}
+\vskip 1.5em
+\begin{center} % author
+Andreas Adelmann, Achim Gsell, Valeria Rizzoglio (PSI),\\ Christof Metzger-Kraus (HZB), \\ Yves Ineichen (IBM),\\ Xiaoying Pang, Steve Russell (LANL),\\ Chuan Wang, Jianjun Yang (CIAE), \\ Suzanne Sheehy, Chris Rogers (RAL) and \\ Daniel Winklehner (MIT)
+\vskip 2em
+{\large Abstract}
+\end{center}
+\end{latexonly}
+
+\begin{quotation}
+\opal is a tool for charged-particle optics in
+accelerator structures and beam lines.
+Using the \mad language with extensions, \opal is derived from \madninep and is based
+on the \classic class library,
+which was started in 1995 by an international collaboration. IPPL (Independent Parallel Particle Layer) is
+the framework which provides parallel particles and fields using data parallel ansatz.
+\opal is built from the ground up as a parallel application exemplifying the fact that HPC (High Performance Computing)
+is the third leg of science, complementing theory and the experiment.
+HPC is made possible now through the increasingly sophisticated mathematical models and evolving computer power available on the desktop
+and in super computer centres. \opal runs on your laptop as well as on the largest HPC clusters available today.
+
+The \opal framework makes it easy to add new features in the form of new
+\texttt{C++}~classes. It comes in the following flavours:
+\begin{description}
+\item[\opalcycl] tracks particles with 3D space charge including neighbouring turns in cyclotrons and FFAG's
+with time as the independent variable.
+\item[\opalt] can be used to model beam lines, linacs, rf-photo injectors and complete XFEL's excluding the undulator.
+
+\end{description}
+It should be noted that not all features of \opal are available in all flavours. The icon \noopalt means that a feature is not yet
+available in \opalt. Similar icons are used for the other flavours.
+
+%\begin{itemize}
+%\item \opalmap (\latermore)
+%\item \opalcycl
+%\item \opalt
+%\item \opaline
+%\end{itemize}
+
+%\opalmap tracks particles with 3D space charge using split operator techniques, and is a proper subset of \madninep. In the future
+%a linear space charge mode will become available available
+%allowing the user to track moments of the distribution.
+
+\end{quotation}
+\vfill
+%\begin{center}
+%Villigen, Switzerland
+%\today
+%\end{center}
+\end{titlepage}
+\thispagestyle{empty}
+
+\frontmatter
+\tableofcontents
+\listoftables
+\listoffigures
+\mainmatter
+\include{introduction} % ch 1
+\include{conventions} % ch 2
+\include{tutorial} % ch 3
+\include{opalt} % ch 4
+\include{opalcycl} % ch 5
+\ifthenelse{\boolean{ShowEnv}}{\include{opale}}{}
+\include{format} % ch 6
+\include{control} % ch 7
+\include{elements} % ch 8
+\include{lines} % ch 9
+\include{physics} % ch 10
+\include{distribution} % ch 11
+\include{fieldsolvers} % ch 12
+\include{track} % ch 13
+\include{wakefields} % ch 14
+\include{geometry} % ch 15
+\include{fieldemission} % ch 16
+\include{multipact} % ch 17
+\include{partmatter} % ch 18
+
+%opal-map
+\ifthenelse{\boolean{ShowMap}}{
+ \include{opal-flavours} % ch 4
+ \include{opalmap}
+ \include{tables} % ch 10
+ \include{actions} % ch 11
+ \include{match} % ch 12
+ \include{errors} % ch 13
+}{}
+
+\appendix
+\include{installation} % ch 2
+\include{syntax}
+\include{fieldmaps}
+\include{opal-madx}
+\include{autophase}
+\include{benchmarks}
+\include{changelog}
+
+\backmatter
+\printbibliography
+\printindex
+\end{document}
\ No newline at end of file
diff --git a/doc/user_guide/opalcycl.tex b/doc/user_guide/opalcycl.tex
new file mode 100644
index 0000000000000000000000000000000000000000..82266e79c4508a95420b8b67dc3f76839006eecd
--- /dev/null
+++ b/doc/user_guide/opalcycl.tex
@@ -0,0 +1,544 @@
+\input{header}
+
+\chapter{\opalcycl}
+\label{chp:opalcycl}
+\index{OPAL-cycl}
+
+
+% -- -- -- -- -- -- Section -- -- -- -- -- --
+\section{Introduction}
+
+\opalcycl, as one of the flavors of the \opal framework, is a fully three-dimensional parallel beam dynamics simulation program dedicated to future high intensity cyclotrons and FFAG. it tracks multiple particles which takes into account the space charge effects. For the first time in the cyclotron community, \opalcycl has the capability of tracking multiple bunches simultaneously
+and take into account the beam-beam effects of the radially neighboring bunches (we call it neighboring bunch effects for short)
+by using a self-consistent numerical simulation model.
+
+Apart from the multi-particle simulation mode, \opalcycl also has two other serial tracking modes for conventional cyclotron machine design. One mode is the single particle tracking mode, which is a useful tool for the preliminary design of a new cyclotron. It allows one to compute basic parameters, such as reference orbit, phase shift history, stable region, and matching phase ellipse. The other one is the tune calculation mode, which can be used to compute the betatron oscillation frequency.
+This is useful for evaluating the focusing characteristics of a given magnetic field map.
+
+In additions, the widely used plugin elements, including collimator, radial profile probe, septum, trim-coil field and charge stripper, are currently implemented in \opalcycl. These functionalities are very useful for designing, commissioning and upgrading of cyclotrons and FFAG's.
+
+\section{Tracking modes}
+According to the number of particles defined by the argument \keyword{npart} in \keyword{beam} \seechp{beam} ,
+\opalcycl works in one of the following three operation modes automatically.
+
+
+\subsection{Single Particle Tracking mode}
+
+ In this mode, only one particle is tracked, either with acceleration or not. Working in this mode, \opalcycl
+ can be used as a tool during the preliminary design phase of a cyclotron.
+
+ The 6D parameters of a single particle in the initial local frame must be read from a file. To do this, in the \opal input file,
+ the command line \keyword{DISTRIBUTION} \seechp{distribution} should be defined like this:
+\begin{example}
+ Dist1: DISTRIBUTION, DISTRIBUTION=fromfile, FNAME="PartDatabase.dat";
+\end{example}
+ where the file \filename{PartDatabase.dat} should have two lines:
+\begin{example}
+ 1
+ 0.001 0.001 0.001 0.001 0.001 0.001
+\end{example}
+The number in the first line is the total number of particles.
+In the second line the data represents $x, p_x, y,$$ p_y, z, p_z$ in the local reference frame. Their units are described in \secref{variablesopalcycl}.
+
+Please don't try to run his mode in parallel environment. You should believe that a single processor of the \engordnumber{21} century is capable of doing
+the single particle tracking.
+
+\subsection{Tune Calculation mode}
+
+ In this mode, two particles are tracked, one with all data is set to zero is the reference particle and another one is an off-centering particle
+ which is off-centered in both $r$ and $z$ directions. Working in this mode, \opalcycl can calculate the betatron oscillation frequency $\nu_r$ and $\nu_z$ for different energies to evaluate the focusing characteristics
+ for a given magnetic field.
+
+ Like the single particle tracking mode,
+ the initial 6D parameters of the two particles in the local reference frame must be read from a file, too.
+ In the file should has three lines:
+\begin{example}
+ 2
+ 0.0 0.0 0.0 0.0 0.0 0.0
+ 0.001 0.0 0.0 0.0 0.001 0.0
+\end{example}
+
+When the total particle number equals 2, this mode is triggered automatically.
+Only the element \keyword{CYCLOTRON} in the beam line is used and other elements are omitted if any exists.
+
+Please don't try to run his mode in parallel environment, either.
+
+
+\subsection{Multi-particle tracking mode}
+
+ In this mode, large scale particles can be tracked simultaneously, either with space charge or not,
+ either single bunch or multi-bunch, either serial or parallel environment,
+ either reading the initial distribution from a file or generating a typical distribution,
+ either running from the beginning or restarting from the last step of a former simulation.
+
+ Because this is the main mode as well as the key part of \opalcycl,
+ we will describe this in detail in \secref{opalcycl:MultiBunch}.
+
+
+
+
+% -- -- -- -- -- -- Section -- -- -- -- -- --
+\section{Variables in \opalcycl}
+\label{sec:variablesopalcycl}
+\index{OPAL-cycl:Variables}
+
+\label{sec:opalcycl:canon}
+\index{Canonical Variables}
+\index{Variables!Canonical}
+
+\opalcycl uses the following canonical variables to describe the motion of particles:
+
+\begin{description}
+\item[X]
+ Horizontal position $x$ of a particle in given global Cartesian coordinates [\si{\meter}].
+
+\item[PX]
+ Horizontal canonical momentum [\si{\electronvolt/\clight}].
+
+\item[Y]
+ Longitudinal position $y$ of a particle in global Cartesian coordinates [\si{\meter}].
+
+\item[PY]
+ Longitudinal canonical momentum [\si{\electronvolt/\clight}].
+
+\item[Z]
+ Vertical position $z$ of a particle in global Cartesian coordinates [\si{\meter}].
+
+\item[PZ]
+ Vertical canonical momentum [\si{\electronvolt/\clight}].
+
+\end{description}
+
+The independent variable is: \textbf{t} [\si{\second}].
+
+
+\subsubsection{NOTE: unit conversion of momentum in \opalt and \opalcycl}
+Convert $\beta_x \gamma$ [dimensionless] to [\si{\milli\radian}],
+
+\begin{equation}
+\label{eq:betagamma1}
+(\beta\gamma)_{\text{ref}}=\frac{P}{m_0c}=\frac{Pc}{m_0c^2},
+\end{equation}
+\begin{equation}
+\label{eq:betagamma2}
+P_x[\si{\milli\radian}]=1000\times\frac{(\beta_x\gamma)}{(\beta\gamma)_{\text{ref}}}.
+\end{equation}
+
+Convert from [\si{\electronvolt/\clight}] to $\beta_x\gamma$ [dimensionless],
+\begin{equation}
+\label{eq:eVtobetagamma}
+(\beta_x\gamma)=\sqrt{(\frac{P_x[\si{\electronvolt/\clight}]}{m_0c}+1)^2-1}.
+\end{equation}
+
+This may be deduced by analogy for the $y$ and $z$ directions.
+
+\subsection{The initial distribution in the local reference frame }
+\label{sec:opalcycl:localframe}
+The initial distribution of the bunch,
+either read from file or generated by a distribution generator \seechp{distribution},
+is specified in the local reference frame of the \opalcycl Cartesian coordinate system \seesec{opalcycl:canon}.
+At the beginning of the run, the 6 phase space variables \((x, y, z, p_x, p_y, p_z)\)
+are transformed to the global Cartesian coordinates using the starting coordinates $r_0$ (\keyword{RINIT}), $\phi_0$ (\keyword{PHIINIT}), and $z_0$ (\keyword{ZINIT}),
+and the starting momenta $p_{r0}$ (\keyword{PRINIT}), and $p_{z0}$ (\keyword{PZINIT}) of the reference particle, defined
+in the \keyword{CYCLOTRON} element \seesec{cyclotron}. Note that $p_{\phi 0}$ is calculated
+automatically from $p_{total}$, $p_{r0}$, and $p_{z0}$.
+
+\begin{align*}
+X &= x\cos(\phi_0) - y\sin(\phi_0) + r_0\cos(\phi_0) \\
+Y &= x\sin(\phi_0) + y\cos(\phi_0) + r_0\sin(\phi_0) \\
+Z &= z + z_0
+\end{align*}
+\begin{align*}
+PX &= (p_x+p_{r0})\cos(\phi_0) - (p_y+p_{\phi 0})\sin(\phi_0) \\
+PY &= (p_x+p_{r0})\sin(\phi_0) + (p_y+p_{\phi 0})\cos(\phi_0) \\
+PZ &= p_z + p_{z0}
+\end{align*}
+
+
+% -- -- -- -- -- -- Section -- -- -- -- -- --
+\section{Field Maps}
+\label{sec:opalcycl:fildmap}
+In \opalcycl, the magnetic field on the median plane is read from an ASCII type file. The field data should be stored in the cylinder coordinates frame (because the field map on the median plane of the cyclotron is usually measured in this frame).
+
+There are two possible situations. One is the real field map on median plane of the exist cyclotron machine using measurement equipment.
+Limited by the narrow gaps of magnets, in most cases with cyclotrons, only vertical field $B_z$ on the median plane ($z=0$) is measured.
+Since the magnetic field data off the median plane field components is necessary for those particles with $z \neq 0$, the field need to be expanded in $Z$ direction.
+According to the approach given by Gordon and Taivassalo, by using a magnetic potential and measured $B_z$ on the median plane,
+at the point $(r,\theta, z)$ in cylindrical polar coordinates, the \engordnumber{3} order field can be written as
+\begin{eqnarray}\label{eq:Bfield}
+ B_r(r,\theta, z) & = & z\diffp{B_z}{ r}-\frac{1}{6}z^3 C_r, \nonumber\\
+ B_\theta(r,\theta, z) & = & \frac{z}{r}\diffp{B_z}{\theta}-\frac{1}{6}\frac{z^3}{r} C_{\theta}, \\
+ B_z(r,\theta, z) & = & B_z-\frac{1}{2}z^2 C_z, \nonumber
+\end{eqnarray}
+where $B_z\equiv B_z(r, \theta, 0)$ and
+\begin{eqnarray}\label{eq:Bcoeff}
+ C_r & = & \diffp[3]{B_z}{r} + \frac{1}{r}\diffp[2]{B_z}{r} - \frac{1}{r^2}\diffp{B_z}{r}
+ + \frac{1}{r^2}\diffp{B_z}{{r}{\theta^2}} - 2\frac{1}{r^3}\diffp[2]{B_z}{\theta}, \nonumber \\
+ C_{\theta} & = & \frac{1}{r}\diffp{B_z}{{r}{\theta}} + \diffp{B_z}{{r^2}{\theta}}
+ + \frac{1}{r^2}\diffp[3]{B_z}{\theta}, \\
+ C_z & = & \frac{1}{r}\diffp{B_z}{r} + \diffp[2]{B_z}{r} + \frac{1}{r^2}\diffp[2]{B_z}{\theta}. \nonumber
+\end{eqnarray}
+
+All the partial differential coefficients are on the median plane and can be calculated by interpolation. \opalcycl uses Lagrange's 5-point formula.
+
+The other situation is to calculate the field on the median plane or the 3D fields of the working gap for interesting region numerically by creating 3D model using commercial software,
+such as TOSCA, ANSOFT and ANSYS during the design phase of a new machine. If the field on the median plane is calculated, the field off the median plane can be obtained using
+the same expansion approach as the measured field map as described above. However, the 3D fields of the entire working gap should be more accurate than
+the expansion approach especially at the region not so close to the median plane in $Z$ direction.
+
+In the current version, we implemented the three specific type field-read functions \emph{Cyclotron::getFieldFromFile()} of the median plane fields.
+That which function is used is controlled by the parameters \keyword{TYPE} of \keyword{CYCLOTRON} \seesec{cyclotron} in the input file.
+
+\subsection{CARBONCYCL type}
+If \keyword{TYPE=CARBONCYCL}, the program requires the $B_z$ data which is stored in a sequence shown in \figref{CYCLField}.
+\begin{figure}[ht]
+ \begin{center}
+ \includegraphics[origin=bl,height=40mm]{./figures/cyclotron/CarbonFieldFormat.pdf}
+ \caption{2D field map on the median plane with primary direction corresponding to the azimuthal direction, secondary direction to the radial direction}
+ \label{fig:CYCLField}
+ \end{center}
+\end{figure}
+We need to add 6 parameters at the header of a plain $B_z$ [\si{\kilo\gauss}] data file, namely,
+$r_{min}$ [\si{\milli\meter}], $\Delta r$ [\si{\milli\meter}], $\theta_{min}$ [\si{\degree}], $\Delta \theta$ [\si{\degree}],
+$N_\theta$ (total data number in each arc path of azimuthal direction) and $N_r$ (total path number along radial direction).
+If $\Delta r$ or $\Delta \theta$ is decimal, one can set its negative opposite number. For instance, if $\Delta \theta = \frac{1}{3}\si{\degree}$, the fourth line of the header should be set to -3.0.
+Example showing the above explained format:
+\begin{example}
+3.0e+03
+10.0
+0.0
+-3.0
+300
+161
+1.414e-03 3.743e-03 8.517e-03 1.221e-02 2.296e-02
+3.884e-02 5.999e-02 8.580e-02 1.150e-01 1.461e-01
+1.779e-01 2.090e-01 2.392e-01 2.682e-01 2.964e-01
+3.245e-01 3.534e-01 3.843e-01 4.184e-01 4.573e-01
+ ......
+\end{example}
+
+\subsection{CYCIAE type}
+
+If \keyword{TYPE=CYCIA}, the program requires data format given by ANSYS\,10.0. This function is originally for the \SI{100}{\mega\electronvolt} cyclotron of CIAE,
+ whose isochronous fields is numerically computed by by ANSYS. The median plane fields data is output by reading the APDL (ANSYS Parametric Design Language) script
+during the post-processing phase (you may need to do minor changes to adapt your own cyclotron model):
+
+\begin{example}
+/post1
+resume,solu,db
+csys,1
+nsel,s,loc,x,0
+nsel,r,loc,y,0
+nsel,r,loc,z,0
+PRNSOL,B,COMP
+
+CSYS,1
+rsys,1
+
+*do,count,0,200
+ path,cyc100_Ansys,2,5,45
+ ppath,1,,0.01*count,0,,1
+ ppath,2,,0.01*count/sqrt(2),0.01*count/sqrt(2),,1
+
+ pdef,bz,b,z
+ paget,data,table
+
+ *if,count,eq,0,then
+ /output,cyc100_ANSYS,dat
+ *STATUS,data,,,5,5
+ /output
+ *else
+ /output,cyc100_ANSYS,dat,,append
+ *STATUS,data,,,5,5
+ /output
+ *endif
+*enddo
+finish
+\end{example}
+
+By running this in ANSYS, you can get a fields file with the name \filename{cyc100\_ANSYS.data}.
+You need to put 6 parameters at the header of the file, namely,
+$r_{min}$ [\si{\milli\meter}], $\Delta r$ [\si{\milli\meter}], $\theta_{min}$[\si{\degree}], $\Delta \theta$[\si{\degree}],
+$N_\theta$(total data number in each arc path of azimuthal direction) and $N_r$(total path number along radial direction).
+If $\Delta r$ or $\Delta \theta$ is decimal,one can set its negative opposite number. This is useful is the decimal is unlimited.
+For instance,if $\Delta \theta = \frac{1}{3} \si{\degree}$, the fourth line of the header should be -3.0.
+In a word, the fields are stored in the following format:
+
+\begin{example}
+0.0
+10.0
+0.0e+00
+1.0e+00
+90
+201
+ PARAMETER STATUS- DATA ( 336 PARAMETERS DEFINED)
+ (INCLUDING 17 INTERNAL PARAMETERS)
+
+ LOCATION VALUE
+ 1 5 1 0.537657876
+ 2 5 1 0.538079473
+ 3 5 1 0.539086731
+ ......
+ 44 5 1 0.760777286
+ 45 5 1 0.760918663
+ 46 5 1 0.760969074
+
+ PARAMETER STATUS- DATA ( 336 PARAMETERS DEFINED)
+ (INCLUDING 17 INTERNAL PARAMETERS)
+
+ LOCATION VALUE
+ 1 5 1 0.704927299
+ 2 5 1 0.705050993
+ 3 5 1 0.705341275
+ ......
+\end{example}
+
+\subsection{BANDRF type}
+If \keyword{TYPE=BANDRF}, the program requires the $B_z$ data format which is same as \keyword{CARBONCYCL}.
+But with \keyword{BANDRF} type, the program can also read in the 3D electric field(s).
+For the detail about its usage, please see \secref{cyclotron}.
+
+\subsection{Default PSI format}
+If the value of \keyword{TYPE} is other string rather than above mentioned, the program requires the data format like PSI format field file \filename{ZYKL9Z.NAR} and \filename{SO3AV.NAR}, which was given by the measurement.
+We add 4 parameters at the header of the file, namely,
+$r_{min}$ [\si{\milli\meter}], $\Delta r$ [\si{\milli\meter}], $\theta_{min}$[\si{\degree}], $\Delta \theta$[\si{\degree}],
+If $\Delta r$ or $\Delta \theta$ is decimal,one can set its negative opposite number. This is useful is the decimal is unlimited.
+For instance,if $\Delta \theta = \frac{1}{3}\si{\degree}$, the fourth line of the header should be -3.0.
+
+\begin{example}
+1900.0
+20.0
+0.0
+-3.0
+ LABEL=S03AV
+ CFELD=FIELD NREC= 141 NPAR= 3
+ LPAR= 7 IENT= 1 IPAR= 1
+ 3 141 135 30 8
+ 8 70
+ LPAR= 1089 IENT= 2 IPAR= 2
+ 0.100000000E+01 0.190000000E+04 0.200000000E+02 0.000000000E+00 0.333333343E+00
+ 0.506500015E+02 0.600000000E+01 0.938255981E+03 0.100000000E+01 0.240956593E+01
+ 0.282477260E+01 0.340503168E+01 0.419502926E+01 0.505867147E+01 0.550443363E+01
+ 0.570645094E+01 0.579413509E+01 0.583940887E+01 0.586580372E+01 0.588523722E+01
+ ......
+\end{example}
+
+\subsection{3D field-map}
+
+% NOTE: \keyword{SBEND3D}, \keyword{RINGDEFINITION} in elements.tex and \ubsection {3D fieldmap} in
+% opalcycl.tex all refer to each other - if updating one check for update on
+% others to keep them consistent.
+
+It is additionally possible to load 3D field-maps for tracking through \opalcycl.
+3D field-maps are loaded by sequentially adding new field elements to a line,
+as is done in \opalt. It is not possible to add
+RF cavities while operating in this mode. In order to define ring parameters
+such as initial ring radius a \keyword{RINGDEFINITION} type is loaded into the line,
+followed by one or more \keyword{SBEND3D} elements.
+
+\begin{example}
+ringdef: RINGDEFINITION, HARMONIC_NUMBER=6, LAT_RINIT=2350.0, LAT_PHIINIT=0.0,
+ LAT_THETAINIT=0.0, BEAM_PHIINIT=0.0, BEAM_PRINIT=0.0,
+ BEAM_RINIT=2266.0, SYMMETRY=4.0, RFFREQ=0.2;
+
+triplet: SBEND3D, FMAPFN="fdf-tosca-field-map.table", LENGTH_UNITS=10., FIELD_UNITS=-1e-4;
+
+l1: Line = (ringdef, triplet, triplet);
+\end{example}
+
+The field-map with file name \filename{fdf-tosca-field-map.table} is loaded, which is a
+file like
+\begin{example}
+ 422280 422280 422280 1
+ 1 X [LENGU]
+ 2 Y [LENGU]
+ 3 Z [LENGU]
+ 4 BX [FLUXU]
+ 5 BY [FLUXU]
+ 6 BZ [FLUXU]
+ 0
+ 194.01470 0.0000000 80.363520 0.68275932346E-07 -5.3752492577 0.28280706805E-07
+ 194.36351 0.0000000 79.516210 0.42525693524E-07 -5.3827955117 0.17681348191E-07
+ 194.70861 0.0000000 78.667380 0.19766168358E-07 -5.4350026348 0.82540823165E-08
+<continues>
+\end{example}
+The header parameters are ignored - user supplied parameters \keyword{LENGTH\_UNITS}
+and \keyword{FIELD\_UNITS} are used. Fields are supplied on points in a grid in
+$(r, y, \phi)$. Positions and field elements are specified by Cartesian
+coordinates $(x, y, z)$.
+
+\subsection{User's own field-map}
+
+{ You should revise the function or write your own function according to the instructions in the code to match your own field
+format if it is different to above types.}
+For more detail about the parameters of \keyword{CYCLOTRON}, please refer to \secref{cyclotron}.
+
+% -- -- -- -- -- -- Section -- -- -- -- -- --
+\section{RF field}
+\subsection{Read RF voltage profile}
+The RF cavities are treated as straight lines with infinitely narrow gaps
+and the electric field is a $\delta$ function plus a transit time correction.
+the two-gap cavity is treated as two independent single-gap cavities. the spiral gap cavity is not implemented yet.
+For more detail about the parameters of cyclotron cavities, see \secref{cavity-cycl}.
+
+The voltage profile of a cavity gap is read from ASCII file. Here is an example:
+\begin{example}
+6
+0.00 0.15 2.40
+0.20 0.65 2.41
+0.40 0.98 0.66
+0.60 0.88 -1.59
+0.80 0.43 -2.65
+1.00 -0.05 -1.71
+\end{example}
+The number in the first line means 6 sample points and in the following lines the three values represent the normalized distance to
+the inner edge of the cavity, the normalized voltage and its derivative respectively.
+
+\subsection{Read 3D RF field-map}
+The 3D RF field-map can be read from H5hut type file. This is useful for modeling the central region electric fields which usually has complicate shapes. For the detail about its usage, please see \secref{cyclotron}.
+
+Please note that in this case, the E field is treated as a part of \keyword{CYCLOTRON} element, rather than a independent \keyword{RFCAVITY} element.
+% -- -- -- -- -- -- Section -- -- -- -- -- --
+\section{Particle Tracking and Acceleration}
+
+The precision of the tracking methods is vital for the entire simulation process, especially for long distance tracking jobs.
+\opalcycl uses a \engordnumber{4} order Runge-Kutta algorithm and the \engordnumber{2} order Leap-Frog scheme. The \engordnumber{4} order Runge-Kutta algorithm needs four external magnetic field evaluation in each time step $\tau$ .
+During the field interpolation process, for an arbitrary given point the code first interpolates Formula $B_z$
+for its counterpart on the median plane and then expands to this give point using \eqnref{Bfield}.
+
+After each time step $i$, the code detects whether the particle crosses any one of the RF cavities during this step.
+If it does, the time point $t_c$ of crossing is calculated and the particle return back to the start point of
+step $i$. Then this step is divided into three sub-steps:
+first, the code tracks this particle for $ t_1 = \tau - (t_c-t_{i-1})$;
+then it calculates the voltage and adds momentum kick to the particle and refreshes its relativistic parameters $\beta$ and $\gamma$;
+and then tracks it for $t_2 = \tau - t_1$.
+
+% -- -- -- -- -- -- Section -- -- -- -- -- --
+\section{Space Charge}
+
+\opalcycl uses the same solvers as \opalt to calculate the space charge effects \seechp{fieldsolver}.
+
+Typically, the space charge field is calculated once per time step. This is no surprise for the \engordnumber{2} order Boris-Buneman time integrator (leapfrog-like scheme) which has per default only one force evaluation per step. The \engordnumber{4} order Runge-Kutta integrator keeps the space charge field constant for one step, although there are four external field evaluations. There is an experimental multiple-time-stepping (MTS) variant of the Boris-Buneman/leapfrog-method, which evaluates space charge only every N\engordletters{th} step, thus greatly reducing computation time while usually being still accurate enough.
+
+
+% -- -- -- -- -- -- Section -- -- -- -- -- --
+\section{Multi-bunch Mode}
+\label{sec:opalcycl:MultiBunch}
+
+The neighboring bunches problem is motivated by the fact that for high intensity cyclotrons with small turn
+separation, single bunch space charge effects are not the only contribution. Along with the increment of beam
+current, the mutual interaction of neighboring bunches in radial direction becomes more and more important,
+especially at large radius where the distances between neighboring bunches get increasingly small and even they
+can overlap each other. One good example is PSI \SI{590}{\mega\electronvolt} Ring cyclotron with a current of about \SI{2}{\milli\ampere} in
+CW operation and the beam power amounts to \SI{1.2}{\mega\watt}. A upgrade project for Ring is in process with
+the goal of \SI{1.8}{\mega\watt} CW on target by replacing four old aluminum resonators by four new copper cavities with peak
+voltage increasing from about \SI{0.7}{\mega\watt} to above \SI{0.9}{\mega\watt}. After upgrade, the total turn
+number is reduced from 200 turns to less then 170 turns.
+Turn separation is increased a little bit, but still are at the same order
+of magnitude as the radial size of the bunches. Hence once the beam current increases from \SI{2}{\milli\ampere} to \SI{3}{\milli\ampere}, the mutual space
+charge effects between radially neighboring bunches can have significant impact on beam dynamics.
+In consequence, it is important to cover neighboring bunch effects in the simulation to quantitatively study its impact on the beam dynamics.
+
+In \opalcycl, we developed a new fully consistent algorithm of multi-bunch simulation. We implemented two working modes, namely ,
+\keyword{AUTO} and \keyword{FORCE}. In the first mode, only a single bunch is tracked and accelerated at the beginning,
+until the radial neighboring bunch effects become an important factor to the bunches' behavior. Then the new bunches will be injected automatically to take these effects into account. In this way, we can save time and memory, and more important,
+we can get higher precision for the simulation in the region where neighboring bunch effects are important.
+In the other mode, multi-bunch simulation starts from the injection points.
+
+In the space charge calculation for multi-bunch, the computation region covers all bunches.
+Because the energy of the bunches is quite different, it is inappropriate to use only one particle rest frame and a single Lorentz transformation any more.
+So the particles are grouped into different energy bins and in each bin the energy spread is relatively small. We apply Lorentz transforming, calculate
+the space charge fields and apply the back Lorentz transforming for each bin separately. Then add the field data together. Each particle has a ID number to identify
+which energy bin it belongs to.
+
+
+% -- -- -- -- -- -- Section -- -- -- -- -- --
+\section{Input}
+All the three working modes of \opalcycl use an input file written in \mad language which will be described in detail in the following chapters.
+
+For the {\bfseries Tune Calculation mode}, one additional auxiliary file with the following format is needed.
+\begin{example}
+ 72.000 2131.4 -0.240
+ 74.000 2155.1 -0.296
+ 76.000 2179.7 -0.319
+ 78.000 2204.7 -0.309
+ 80.000 2229.6 -0.264
+ 82.000 2254.0 -0.166
+ 84.000 2278.0 0.025
+\end{example}
+In each line the three values represent energy $E$, radius $r$ and $P_r$ for the SEO (Static Equilibrium Orbit)
+at starting point respectively and their units are \si{\mega\electronvolt}, \si{\milli\meter} and \si{\milli\radian}.
+
+A bash script \filename{tuning.sh} is shown on the next page, to execute \opalcycl for tune calculations.
+\examplefromfile{examples/tuning.sh}
+To start execution, just run \filename{tuning.sh} which uses the input file \filename{testcycl.in} and the auxiliary file \filename{FIXPO\_ SEO}.
+The output file is \filename{plotdata} from which one can plot the tune diagram.
+
+
+% -- -- -- -- -- -- Section -- -- -- -- -- --
+\section{Output}
+{\bfseries Single Particle Tracking mode}
+
+The intermediate phase space data is stored in an ASCII file which can be used to
+the plot the orbit. The file's name is combined by input file name (without extension) and \filename{-trackOrbit.dat}.
+The data are stored in the global Cartesian coordinates.
+The frequency of the data output can be set using the option \keyword{SPTDUMPFREQ} of \keyword{OPTION} statement \seesec{option}
+
+The phase space data per \keyword{STEPSPERTURN} (a parameter in the \keyword{TRACK} command) steps is stored in an ASCII file.
+The file's name is a combination of input file name (without extension) and \filename{-afterEachTurn.dat}.
+The data is stored in the global cylindrical coordinate system.
+Please note that if the field map is ideally isochronous, the reference particle of a given energy take exactly one revolution in \keyword{STEPPERTURN} steps;
+Otherwise,the particle may not go through a full \SI{360}{\degree} in \keyword{STEPPERTURN} steps.
+
+There are 3 ASCII files which store the phase space data around $0$, $\pi/8$ and $\pi/4$ azimuths.
+Their names are the combinations of input file name (without extension) and \filename{-Angle0.dat}, \filename{-Angle1.dat} and \filename{-Angle2.dat} respectively.
+The data is stored in the global cylindrical coordinate system, which can be used to check the property of the closed orbit.\\
+
+{\bfseries Tune calculation mode}
+
+ The tunes $\nu_r$ and $\nu_z$ of each energy are stored in a ASCII file with name \filename{tuningresult}.\\
+
+{\bfseries Multi-particle tracking mode}
+
+The intermediate phase space data of all particles and some interesting parameters,
+including RMS envelop size, RMS emittance, external field, time, energy, length of path, number of bunches and
+tracking step, are stored in the H5hut file-format \cite{bib:howison2010} and can be analyzed
+using the H5root \cite{bib:schietinger}.
+The frequency of the data output can be set using the \keyword{PSDUMPFREQ} option of \keyword{OPTION} statement \seesec{option}.
+The file is named like the input file but the extension is \filename{.h5}.
+
+The intermediate phase space data of central particle (with ID of 0) and an off-centering particle (with ID of 1)
+are stored in an ASCII file. The file's name is combined by the input file name (without extension) and \filename{-trackOrbit.dat}.
+The frequency of the data output can be set using the \keyword{SPTDUMPFREQ} option of \keyword{OPTION} statement \seesec{option}.
+
+
+
+\section{Matched Distribution}
+In order to run matched distribution simulation one has to specify a periodic accelerator.\ The function call also needs
+the symmetry of the machine as well as a field map. The user then specifies the emittance $\pi\si{\milli\meter\milli\radian}$.
+\begin{verbatim}
+/*
+ * specify periodic accelerator
+ */
+l1 = ...
+
+/*
+ * try finding a matched distribution
+ */
+Dist1:DISTRIBUTION, DISTRIBUTION=GAUSSMATCHED, LINE=l1, FMAPFN=...,
+ MAGSYM=..., EX = ..., EY = ..., ET = ...;
+\end{verbatim}
+\subsection{Example}
+Simulation of the PSI Ring Cyclotron at \SI{580}{\mega\electronvolt} and current \SI{2.2}{\milli\ampere}.\ The program finds a matched
+distribution followed by a bunch initialization according to the matched covariance matrix.\\
+The matched distribution algorithm works with normalized emittances, i.e. normalized by the lowest energy of the
+machine.\ The printed emittances, however, are the geometric emittances. In addition, it has to
+be paid attention that the computation is based on $(x,x',y,y',z,\delta)$ instead of $(x,p_{x},y,p_{y},z,p_{z})$.\ Since
+the particles are represented in the latter coordinate system, the corresponding transformation has to be applied to
+obtain the rms emittances that are given in the output.
+\subsubsection{Input file}
+\examplefromfile{examples/matchedDistribution.in}
+\subsubsection{Output}
+\examplefromfile{examples/matchedDistribution.output}
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/opale.tex b/doc/user_guide/opale.tex
new file mode 100644
index 0000000000000000000000000000000000000000..5b80f8e151f9ee419ff46507c41e0090a9e6a597
--- /dev/null
+++ b/doc/user_guide/opale.tex
@@ -0,0 +1,607 @@
+\chapter{\opal-env}
+
+The \opalenv Envelope Tracker is an algorithm used to solve the envelope equations
+of a beam propagating through external fields and under the influence of its
+own space charge. The algorithm is based on the multi-slice analysis approach
+used in the theory of emittance compensation \cite{bib:JBong}. The space charge
+model used can be switched between an analytic model derived and used in HOMDYN
+\cite{bib:HOMY} and a similar model developed at PSI called Beam Envelope Tracker
+(BET).
+
+\subsection{Envelope Equation without Dispersion For Long Beams}
+
+The equation for the propagation of a general beam enveloped given here
+follows the work of Sacherer \cite{Sach}. Using the variables $x$ and
+$p_x$ as the phase space variables, the equation of motion for $\sigma_x =
+\langle x^2\rangle^{1/2}$ is found by differentiating with respect to time:
+%
+\begin{eqnarray}
+\dot\sigma_x = \frac{\langle x\dot x \rangle}{\sigma},\hspace{1cm}
+\ddot\sigma_x = \frac{1}{\sigma_x^3}\left[\langle x^2\rangle \langle \dot x^2\rangle-\langle x\dot x\rangle^2\right]+\frac{\langle x\ddot x\rangle}{\sigma_x}
+\end{eqnarray}
+%
+Noting that $\dot x = p_x/m\gamma$, the above equations become
+%
+\begin{eqnarray}
+\ddot\sigma_x = \frac{1}{\sigma_x^3}\left(\frac{c\epsilon_n}{\gamma}\right)^2+\frac{\langle x\ddot x\rangle}{\sigma_x},
+\end{eqnarray}
+%
+where the normalized emittance is defined as $\epsilon_{n,x} =
+\frac{1}{mc}\sqrt{\langle x^2\rangle \langle p_x^2\rangle-\langle
+xp_x\rangle^2}$. The last term in this equation is expanded using $\ddot x =
+-\gamma^2\beta\dot\beta \dot x + F_x/m\gamma$:
+%
+\begin{eqnarray}
+\ddot\sigma_x = \left[-\gamma^2\beta\dot\beta\right]\dot\sigma_x + \frac{\langle xF_x\rangle}{m\gamma\sigma_x}+\left(\frac{c\epsilon_n}{\gamma}\right)^2\frac{1}{\sigma_x^3},
+\end{eqnarray}
+%
+The force is split into a (linear) external part and the self-fields: $F_x(t,x)
+= -K_x(t)x + F_{x,s}$. Plugging this into the envelope equation gives
+%
+\begin{eqnarray}
+\ddot\sigma_x + \left[\gamma^2\beta\dot\beta\right]\dot\sigma_x + \left[\frac{K}{m\gamma}\right]\sigma_x = \left[\frac{\langle xF_{x,s}\rangle}{m\gamma}\right]\frac{1}{\sigma_x}+\left(\frac{c\epsilon_n}{\gamma}\right)^2\frac{1}{\sigma_x^3}.
+\end{eqnarray}
+%
+Following Sacherer \cite{Sach}, the term $\langle xF_{x,s}\rangle$ can be
+interpreted as the linear part of the space charge field (in a least squares
+sense). The linear part of the field is defined by $F_{x,s}^{(1)}$, such that
+the quantity
+%
+\begin{eqnarray}
+D = \langle (F_{x,s}^{(1)}x-F_{x,s})^2\rangle = \int (F_{x,s}^{(1)}x-F_{x,s})^2\rho_x\;\differential{}x,
+\end{eqnarray}
+%
+is minimized in a least squares sense. This is accomplished by setting $\pdifferential{}D / \pdifferential{} F_{x,s}^{(1)} = 0$, which implies \cite{Sach}:
+%
+\begin{eqnarray}
+F_{x,s}^{(1)}x = \frac{\langle xF_{x,s}\rangle}{\sigma_x^2}x.
+\end{eqnarray}
+%
+This gives the general form of the envelope equation
+%
+\begin{eqnarray}
+\ddot\sigma_x + \left[\gamma^2\beta\dot\beta\right]\dot\sigma_x
++ \left[\frac{K}{m\gamma}\right]\sigma_x &=& \left[\frac{F_{x,s}^{(1)}}{m\gamma}\right]\sigma_x+\left(\frac{c\epsilon_n}{\gamma}\right)^2\frac{1}{\sigma_x^3},
+\nonumber
+\\
+\sigma_x\nprimed{2} + \left[\frac{\gamma\primed}{\beta^2\gamma}\right]\sigma_x\primed + \left[\frac{K}{mc^2\beta p_n}\right]\sigma_x &=& \left[\frac{F_{x,s}^{(1)}}{mc^2\beta p_n}\right]\sigma_x+\left(\frac{\epsilon_n}{p_n}\right)^2\frac{1}{\sigma_x^3}.
+\end{eqnarray}
+%
+In this equation $p_n = \beta\gamma$ is the normalized momentum.
+
+A general form for the fields can be now introduced. For a long beam, the linear
+part of the fields (in the beam rest frame) are given by
+%
+\begin{eqnarray}
+E_x=\left( \left.\diffp{E_x}{x}\right|_{0}\right)x,\hspace{1cm}E_y= \left(\left.\diffp{E_y}{y}\right|_{0}\right)y.
+\end{eqnarray}
+%
+These fields must then be boosted back to the laboratory frame according to
+%
+\begin{eqnarray}
+\textbf{E}&=&\gamma(\textbf{E}\primed-\vec{\mathbf{\beta}}\times
+c\textbf{B}\primed)-\frac{\gamma^2}{1+\gamma}\vec{\beta}(\vec{\beta}\cdot
+\textbf{E}\primed),\nonumber
+\\
+\textbf{B}&=&\gamma(\textbf{B}\primed+\vec{\mathbf{\beta}}\times
+\textbf{E}\primed/c)-\frac{\gamma^2}{1+\gamma}\vec{\beta}(\vec{\beta}\cdot
+\textbf{B}\primed),\label{eq:FieldTrans}
+\end{eqnarray}
+%
+For a beam moving along the $z$-axis with speed $c\beta$, the fields are given by
+%
+\begin{eqnarray}
+\mathbf{E} = \gamma E_x\primed\hat{\mathbf{x}} + \gamma E_y\primed\hat{\mathbf{y}}, \hspace{2cm}
+\mathbf{B} = \frac{\gamma\beta}{c}(-E_y\primed\hat{\mathbf{x}} + E_x\primed\hat{\mathbf{y}}).
+\end{eqnarray}
+%
+Here the primes label the field components in the lab frame. Assuming these
+components are proportional to the line charge density $\lambda\primed$ the
+fields can be written in a form that takes into account the Lorentz contraction
+of the current density:
+%
+\begin{eqnarray}
+E_x = \gamma E_x\primed = \gamma\lambda\primed\diffp{E_x\primed}{\lambda\primed}=\lambda\diffp{E_x\primed}{\lambda\primed}.
+\end{eqnarray}
+%
+The linearized force equation then takes the form
+%\begin{eqnarray}
+%\mathbf{F} = e(E_r-\beta c B_{\theta})\hat{\mathbf{r}} = \frac{e\lambda}{\gamma^2}\left(\diffp{E_r\primed}{{r}{\lambda\primed}}\right) r\hat{\mathbf{r}}
+%\end{eqnarray}
+%
+\begin{eqnarray}
+\mathbf{F} &=& e(E_x-\beta c B_{y})\hat{\mathbf{x}} + e(E_y + \beta c B_{x})\hat{\mathbf{y}}
+\nonumber
+%\\
+ %&=&
+ = \frac{e\lambda}{\gamma^2}
+ \left[
+ \left(\diffp{E_x\primed}{{x}{\lambda\primed}}\right) x \hat{\mathbf{x}}+
+ \left(\diffp{E_y\primed}{{y}{\lambda\primed}}\right) y \hat{\mathbf{y}}
+\right].
+\end{eqnarray}
+%
+With this, the envelope equations become
+%
+\begin{eqnarray}
+\ddot\sigma_i + \left[\gamma^2\beta\dot\beta\right]\dot\sigma_i
++ \left[\frac{K_i}{m\gamma}\right]\sigma_i &=& \left[\frac{e\lambda}{m\gamma^3}\left(\diffp{E_i\primed}{{x_i}{\lambda\primed}}\right)\right]\sigma_i+\left(\frac{c\epsilon_{n,i}}{\gamma}\right)^2\frac{1}{\sigma_i^3}.
+%\nonumber
+%\\
+%\sigma_i\nprimed{2} + \left[\frac{\gamma\primed}{\beta^2\gamma}\right]\sigma_i\primed + \left[\frac{K_i}{mc^2\beta p_n}\right]\sigma_i &=& \left[\frac{e\lambda}{mc^2\beta^2 \gamma^3}\left(\diffp{E_i\primed}{{x_i}{\lambda\primed}}\right)\right]\sigma_i+\left(\frac{\epsilon_{n,i}}{p_n}\right)^2\frac{1}{\sigma_i^3}.
+\label{eq:GenEnv}
+\end{eqnarray}
+
+
+So far this derivation has assumed that there is no coupling between $x$ and
+$y$ in both the external and self forces. In the presence of solenoids this is
+no longer the case for the external fields. If the beam and external fields
+are cylindrical symmetric then the previous analysis can be performed in the
+Larmor frame. Working in the Larmor frame, the equations of motion for $\sigma_x
+=\sigma_y =\sigma_L$ decouple and the envelope equation is given by
+%
+\begin{eqnarray}
+\ddot\sigma_L + \left[\gamma^2\beta\dot\beta\right]\dot\sigma_L + \left[\frac{K}{m\gamma}+(\dot\theta_r)^2\right]\sigma_L &=& \left[\frac{e\lambda}{m \gamma^3}\left(\diffp{E_r\primed}{{r}{\lambda\primed}}\right)\right]\sigma_L+\left(\frac{c\epsilon_n}{\gamma}\right)^2\frac{1}{\sigma_L^3}.
+\nonumber
+%\\
+%\sigma\nprimed{2} + \left[\frac{\gamma\primed}{\beta^2\gamma}\right]\sigma\primed
+%+ \left[\frac{K}{mc^2\beta p_n} + (\theta_r\primed)^2\right]\sigma &=&
+%\left[\frac{e\lambda}{mc^2\beta^2 \gamma^3}\left(\diffp{E_r\primed}{{r}{\lambda\primed}}\right)\right]\sigma+\left(\frac{\epsilon_n}{p_n}\right)^2\frac{1}{\sigma^3}.
+\end{eqnarray}
+%
+In this expression, $\theta_r$ is the Larmor angle, and is given by
+%
+\begin{eqnarray}
+\theta_r = -\int\left(\frac{eB_z}{2m\gamma }\right)\;\differential{}t = -\int\left(\frac{eB_z}{2m\gamma \beta c}\right)\;\differential{}z.
+\end{eqnarray}
+
+\subsubsection{Long Uniform Cylindrical Beam}
+
+The envelope equation for a cylindrical beam is now explicitly derived. Assuming
+cylindrical symmetric fields and working in the Larmor frame then $\sigma_x
+= \sigma_y = \sigma_L$. It is important to distinguish this parameter from $
+\sigma_r = R/\sqrt{2}$. In fact, $\sigma_L = R/2$ for a circular beam. The
+electric in the lab frame can be easily computed from Gauss's law:
+%
+\begin{eqnarray}
+E_r\primed = \frac{1}{8\pi\epsilon_0}\frac{\lambda\primed}{\sigma^2}r \hspace{1cm} (r<R).
+\end{eqnarray}
+%
+This is the only portion of the field needed since the charge is zero outside of
+the cylinder radius, and the average $\langle xF_x\rangle$ is zero there. The
+space charge term is then given by
+%
+\begin{eqnarray}
+\frac{e\lambda}{m\gamma^3}\left(\diffp{E_r\primed}{{r}{\lambda\primed}}\right)
+=\frac{c^2}{2\beta\sigma^2}\left(\frac{e}{4\pi\epsilon_0mc^3}\right)\lambda\beta c = \frac{c^2}{\beta\sigma^2}\frac{I}{2I_0},
+\end{eqnarray}
+%
+where the Alfven current is identified as the factors in parenthesis. With this
+the envelope equation is written in its `standard' form \cite{bib:JBong}
+%
+\begin{eqnarray}
+\ddot\sigma_L + \left[\gamma^2\beta\dot\beta\right]\dot\sigma_L + \left[\frac{K}{m\gamma}+(\dot\theta_r)^2\right]\sigma_L &=&
+\left[\frac{c^2k_p}{\beta \gamma^3}\right]\frac{1}{\sigma_L}+\left(\frac{c\epsilon_n}{\gamma}\right)^2\frac{1}{\sigma_L^3},
+\nonumber
+%\\
+%\sigma\nprimed{2} + \left[\frac{\gamma\primed}{\beta^2\gamma}\right]\sigma\primed
+%+ \left[\frac{K}{mc^2\beta p_n} + (\theta_r\primed)^2\right]\sigma &=&
+%\left[\frac{k_p}{p_n^3}\right]\frac{1}{\sigma}+\left(\frac{\epsilon_n}{p_n}\right)^2\frac{1}{\sigma^3},
+\end{eqnarray}
+%
+where the term $k_p = I/2I_0$ is the beam perveance. Equivalently, these
+equations can be written in terms of the beam radius $R$:
+%
+\begin{eqnarray}
+\ddot R + \left[\gamma^2\beta\dot\beta\right]\dot R + \left[\frac{K}{m\gamma}+(\dot\theta_r)^2\right]R&=&
+\left[\frac{4c^2k_p}{\beta \gamma^3}\right]\frac{1}{R}+\left(\frac{4c\epsilon_n}{\gamma}\right)^2\frac{1}{R^3}.
+%\nonumber
+%\\
+%R\nprimed{2} + \left[\frac{\gamma\primed}{\beta^2\gamma}\right]R\primed
+%+ \left[\frac{K}{mc^2\beta p_n} + (\theta_r\primed)^2\right]R &=&
+%\left[\frac{4k_p}{p_n^3}\right]\frac{1}{R}+\left(\frac{4\epsilon_n}{p_n}\right)^2\frac{1}{R^3}.
+\end{eqnarray}
+
+\subsubsection{Long Uniform Elliptical Beam}
+
+Here an intuitive argument is used to find the linear portions of the fields
+from a uniform elliptical beam. The beam's cross-section is defined so that the
+ellipse axes line up with the $x$ and $y$ Cartesian coordinates and are given by
+$X$ and $Y$ respectively. The symmetry of the problem in Cartesian coordinates
+implies the following constraints on the transverse electric field components in
+the beam rest frame:
+%
+\begin{eqnarray}
+\left\{
+\begin{array}{c}
+E_x(-x,y,z) = -E_x(x,y,z) \\
+E_x(x,-y,z) = \hspace{0.3cm}E_x(x,y,z)
+\end{array}
+\right. ,
+\hspace{1cm}
+\left\{
+\begin{array}{c}
+E_y(-x,y,z) = \hspace{0.3cm}E_y(x,y,z) \\
+E_y(x,-y,z) = -E_y(x,y,z)\end{array}
+\right. ,
+\end{eqnarray}
+%
+These conditions imply that field components can be expanded as
+%
+\begin{eqnarray}
+E_x = \sum_{n,m=0}^{\infty}E_x^{(2n+1,2m)}x^{2n+1}y^{2m},\hspace{1cm}E_y = \sum_{n,m=0}^{\infty}E_y^{(2n,2m+1)}x^{2n}y^{2m+1}.
+\end{eqnarray}
+%
+Similarly the charge density must satisfy $\rho(-x,-y) = \rho(x,y)$, implying:
+%
+\begin{eqnarray}
+\rho(x,y) = \sum_{n,m=0}^{\infty}\rho^{(2n,2m)}x^{2n}y^{2m}.
+\end{eqnarray}
+%
+Gauss's law can then be use to relate the expansion coefficients:
+%
+\begin{eqnarray}
+(2n+1)E_x^{(2n+1,2m)} + (2m+1)E_y^{(2n, 2m+1)} = \frac{1}{\epsilon_0}\rho^{(2n,2m)}
+\end{eqnarray}
+%
+The linear components of the field (inside the beam) are given by taking
+$n=m=0$. This implies that
+%
+\begin{eqnarray}
+\left.\diffp{E_x}{x}\right|_{r=0} + \left.\diffp{E_y}{y}\right|_{r=0} = \frac{\lambda}{\pi\epsilon_0XY}.
+\end{eqnarray}
+%
+It is now assumed that for the linear portion of the fields, the above
+derivatives have a similar form. The assumed form is
+%
+\begin{eqnarray}
+\left.\diffp{E_x}{x}\right|_{r=0} = \frac{f}{X},\hspace{1cm} \left.\diffp{E_y}{y}\right|_{r=0}=\frac{f}{Y}.
+\end{eqnarray}
+%
+The form here is chosen so that the field components have the right behavior in
+the limit that $X$ or $Y$ goes to zero, as well as the limit $X=Y=R$. With this
+assumption, the linear field components can be solved for:
+%
+\begin{eqnarray}
+E_x = \frac{\lambda x}{\pi\epsilon_0X(X+Y)},\hspace{1cm} E_y = \frac{\lambda y}{\pi\epsilon_0Y(X+Y)}.
+\end{eqnarray}
+%
+For a more rigorous derivation of this result, please see \cite{Sach}.
+From these expressions the envelope equations can be derived using \eqnref{GenEnv}:
+%
+\begin{eqnarray}
+\ddot\sigma_i + \left[\gamma^2\beta\dot\beta\right]\dot\sigma_i
++ \left[\frac{K_i}{m\gamma}\right]\sigma_i &=& \left[\frac{2c^2}{\beta\gamma^3}\right]\frac{k_p}{\sigma_x+\sigma_y}+\left(\frac{c\epsilon_{n,i}}{\gamma}\right)^2\frac{1}{\sigma_i^3}.
+%\nonumber
+%,\\
+%\sigma_i\nprimed{2} + \left[\frac{\gamma\primed}{\beta^2\gamma}\right]\sigma_i\primed + \left[\frac{K_i}{mc^2\beta p_n}\right]\sigma_i &=& \left[\frac{2}{p_n^3}\right]\frac{k_p}{\sigma_x+\sigma_y}+\left(\frac{\epsilon_{n,i}}{p_n}\right)^2\frac{1}{\sigma_i^3}.
+\end{eqnarray}
+%
+The equivalent equations for the ellipse axes are the given by
+%
+\begin{eqnarray}
+\ddot X_i + \left[\gamma^2\beta\dot\beta\right]\dot X_i
++ \left[\frac{K_i}{m\gamma}\right]X_i &=& \left[\frac{8c^2}{\beta\gamma^3}\right]\frac{k_p}{X+Y}+\left(\frac{4c\epsilon_{n,i}}{\gamma}\right)^2\frac{1}{X_i^3}.
+%\nonumber
+%\\
+%X_i\nprimed{2} + \left[\frac{\gamma\primed}{\beta^2\gamma}\right]X_i\primed + \left[\frac{K_i}{mc^2\beta p_n}\right]X_i &=& \left[\frac{8}{p_n^3}\right]\frac{k_p}{X+Y}+\left(\frac{4\epsilon_{n,i}}{p_n}\right)^2\frac{1}{X_i^3}.
+\end{eqnarray}
+
+\subsection{Slice Model}
+
+The slice model deployed in \opalenv is based on the slice analysis of the
+envelope equation developed in emittance compensation theory \cite{bib:JBong}.
+In this analysis the beam is taken to be laminar in both the transverse and
+longitudinal directions. The beam is then cut into slices along the length of
+the bunch. The slices are taken to be independent, and the transverse envelope
+equation applied to each.
+%
+\begin{figure}[h]
+ \begin{center}
+ \includegraphics[width=120mm]{figures/HomdynPlots1}
+ \caption{Evolution of the particle beam in the multi-slice approximation.}
+ \label{fig:sliceModel}
+ \end{center}
+\end{figure}
+%
+As a result, each slice changes both in length and radius as the beam
+propagates through the accelerator. This is shown schematically in
+\figref{sliceModel}. The position of each slice is labeled by the
+coordinate $\zeta$. The beam envelope of each slice is then written as
+$\sigma = \sigma(t,z,\zeta)$.
+Additionally, for very long beams, the current is given by
+%
+\begin{eqnarray}
+I = I(t,z,\zeta) = c\beta(\zeta)\lambda(\zeta).
+\end{eqnarray}
+%
+In the case of bunched beams, the current picks up an extra factor:
+%
+\begin{eqnarray}
+I\rightarrow I(\zeta)g(\zeta). \label{eq:FormFact}
+\end{eqnarray}
+%
+The term $g(\zeta)$ is determined by the bunch distribution, and is less than or
+equal to unity. It is noted that in this model the slices are assumed to have
+some infinitesimal width $\delta\zeta = \delta\zeta(t,z)$ which is the same
+for all slices. For a bunched beam with length L this is given by $\delta\zeta
+= L/N$, where $N$ is the number of slices. The position of each slice evolves
+according
+%
+\begin{eqnarray}
+\dot\beta(t,\zeta) = \frac{eE_z}{mc\gamma^3(\zeta)}.
+\end{eqnarray}
+%
+The longitudinal field here includes both the external and self-fields (for
+bunched beams) at the slice position.
+%The space charge force of each slice is approximated by assuming that each slice
+%is a uniformly filled cylinder of charge. An approximate form for the fields can
+%then be found.
+
+\subsubsection{The HOMDYN Model: Analytic Space Charge Fields for Bunched Beams}
+
+In this section the analytic formula for the linear Electric fields fields
+from a uniformly charged cylinder are derived. This done in two steps. First
+the on-axis field from a uniformly charged circular disk is calculated. The
+infinitesimal field contribution in this case is
+%
+\begin{eqnarray}
+d\mathbf{E} =
+\frac{1}{4\pi\epsilon_0}\frac{(\mathbf{x}-\mathbf{x}\primed)}
+{|\mathbf{x}-\mathbf{x}\primed|^3}\sigma dA\primed,\nonumber
+\end{eqnarray}
+%
+with $\mathbf{x}-\mathbf{x}\primed=
+(z-z\primed)\hat{\mathbf{z}}-r\primed\hat{\mathbf{r}}\primed$ on-axis.
+Noting that the integration over the radial component vanishes on-axis, the
+field from the disk can be readily integrated, yielding:
+%
+\begin{eqnarray}
+\mathbf{E}_{z}^{\textmd{disk}}(r=0) &=&
+\frac{\sigma}{2\epsilon_0}
+\left(\frac{(z-z\primed)}{|z-z\primed|}-\frac{(z-z\primed)}{\sqrt{(z-z\primed)^2+R^2}}\right)\hat{\mathbf{z}}.
+\end{eqnarray}
+%
+From this, the on-axis field for the cylinder can be found by letting $\sigma
+= \rho_0dz\primed$ and integrating up the contribution from infinitesimal
+charged disks from $0\leq z\primed\leq L$:
+%
+%\begin{equation}
+%\mathbf{E}_z(r=0)=\frac{Q}{2\pi\epsilon_0R^2}
+%\left(\sqrt{(1-z/L)^2+(R/L)^2}-\sqrt{z^2+R^2}-|L-z|+|z|\right)\hat{\mathbf{z}}.
+%\nonumber
+%\end{equation}
+%
+%This can be written more compactly as
+%
+\begin{eqnarray}
+{E}_z(=0)&=&\frac{Q}{2\pi\epsilon_0R^2}H(z,A),
+\end{eqnarray}
+%
+where the function $H(z,A)$ is given by
+%
+\begin{eqnarray}
+H(z,A) = \sqrt{\left(1-\frac{z}{L} \right)^2+A^2}-\sqrt{\left(\frac{z}{L}\right)^2 +A^2}
+-\left|1-\frac{z}{L}\right| +\left|\frac{z}{L}\right|,\hspace{0.5cm}A = R/L.
+\end{eqnarray}
+
+Using Maxwell's equations allows one to find $E_{r}$. For cylindrical symmetry,
+Gauss's law takes the form
+%
+\begin{eqnarray}
+\diffp{}{r}(r E_{r}) =
+r\left(\frac{\rho_0}{\epsilon_0}-\diffp{E_z}{z}\right),\label{eq:FindErho}
+%\cong
+r\left(\frac{\rho(r,z)}{\epsilon_0}-\diff{}{z}E_z(0,z)\right),
+\nonumber
+\end{eqnarray}
+%
+where the charge density $\rho = \rho_0[\theta_H(r)-\theta_H(r-R)]\cdot
+[\theta_H(z)-\theta_H(z-L)]$. Approximating Gauss's law to first order in $r$
+gives
+%
+\begin{eqnarray}
+\diffp{}{r}(r E_{r}) =
+r\left(\frac{\rho_0}{\epsilon_0}[\theta_H(z)-\theta_H(z-L)]-\frac{d E_z} {dz}(r=0)\right).
+\end{eqnarray}
+%
+The derivative $dE_z/dz$ is given by
+%
+\begin{eqnarray}
+\frac{d}{dz}E_z(0,z) = \frac{\rho_0}{2\epsilon_0}
+\left(\frac{z-L}{\sqrt{(z-L)^2+R^2}}
+-\frac{z}{\sqrt{z^2+R^2}} + 2\left[\theta_H(z)-\theta_H(z-L)\right]
+\right).
+\end{eqnarray}
+%
+Plugging this expression into Gauss's law then yields
+%
+\begin{eqnarray}
+\diffp{}{r}(r E_{r})\cong r \frac{\rho_0}{2\epsilon_0}
+\left(\frac{L-z}{\sqrt{(L-z)^2+R^2}}+\frac{z}{\sqrt{z^2+R^2}}\right).
+\end{eqnarray}
+%
+Thus the radial component is given to first order in $r$ as
+%
+\begin{eqnarray}
+E_{r}=r\frac{\rho_0}{4\epsilon_0}
+\left(\frac{L-z}{\sqrt{(L-z)^2+R^2}}+\frac{z}{\sqrt{z^2+R^2}}\right)r.\nonumber
+\end{eqnarray}
+%
+This can be written as
+%
+\begin{eqnarray}
+E_{r}=\frac{Qr}{4\pi\epsilon_0R^2L}
+\left(\frac{1-z/L}{\sqrt{(1-z/L)^2+(R/L)^2}}+\frac{z/L}{\sqrt{(z/L)^2+(R/L)^2}}\right)
+\end{eqnarray}
+%
+This is written more compactly as
+%
+\begin{eqnarray}
+E_{r}=\frac{Qr}{4\pi\epsilon_0R^2L}G(z,A).
+\end{eqnarray}
+%
+where $G(z,A)$ is the term in parenthesis and $A=R/L$ is the aspect ratio of the
+cylinder. For a moving cylinder of charge, these fields must be boosted back
+to the lab frame. This is accomplished using \eqnref{FieldTrans}. If the
+cylinder is moving down the $z$-axis with a velocity given by $\dot z=c\beta$,
+the transformation is the same as before, except now there is a $z$ component to
+the electric field $E_z = E_z\primed$. Remembering to include the contraction
+effect on the length of the cylinder ($z\rightarrow \gamma z$ and $L\rightarrow
+\gamma L $), the fields can be written as
+%
+\begin{eqnarray}
+E_z = \frac{Q}{2\pi\epsilon_0R^2} H(\zeta, A), \hspace{0.5cm} E_r \frac{Qr}{4\pi\epsilon_0R^2L} G(\zeta, A), \hspace{0.5cm}
+B_{\theta} = \frac{\beta}{c}E_r,
+\end{eqnarray}
+%
+where the tail of the cylinder is $z_t$ and $\zeta = z - z_{t}$. The functions
+$H$ and $G$ have been previously defined. In this expression $A = R/\gamma L$.
+
+The envelope equation can be written down for the propagation for each slice
+by assuming the space charge force from the bunch is approximately the same as
+the space charge force from a uniform cylinder with charge and length given by
+the full bunch charge and length, but with a radius given by the slice radius.
+Identifying the $\lambda = Q/L\primed$ in the beam rest frame, the first order
+component of the transverse fields can be written as
+%
+\begin{eqnarray}
+E_r^{\prime(1)}= \frac{\lambda\primed}{8\pi\epsilon_0\sigma^2}\left[\frac{G(\zeta\primed,A\primed)}{2}\right].
+\end{eqnarray}
+%
+Following the previous analysis, the envelope equation then becomes
+%
+\begin{eqnarray}
+\ddot\sigma + \left[\gamma^2\beta\dot\beta\right]\dot\sigma + \left[\frac{K}{m\gamma}+(\dot\theta_r)^2\right]\sigma &=&
+\left[\frac{c^2k_p}{\beta \gamma^3}\left(\frac{G(\zeta,A)}{2}\right)\right]\frac{1}{\sigma}+\left(\frac{c\epsilon_n}{\gamma}\right)^2\frac{1}{\sigma^3},
+\nonumber
+%\\
+%\sigma\nprimed{2} + \left[\frac{\gamma\primed}{\beta^2\gamma}\right]\sigma\primed
+%+ \left[\frac{K}{mc^2\beta p_n} + (\theta_r\primed)^2\right]\sigma &=&
+%\left[\frac{k_p}{p_n^3}\left(\frac{G(\zeta,A)}{2}\right)\right]\frac{1}{\sigma}+\left(\frac{\epsilon_n}{p_n}\right)^2\frac{1}{\sigma^3}.
+\end{eqnarray}
+%
+Explicitly, the perveance term is written out as
+%
+\begin{eqnarray}
+K = \frac{I}{2I_0}\cdot \frac{G}{2} = c\beta(\zeta)\left(\frac{Q}{L}\right)\left(\frac{G(\zeta,A)}{2}\right).
+\end{eqnarray}
+%
+This is exactly the form for the current described in the previous section.
+The function $G(\zeta,A)/2$ is identified as the form factor term $g(\zeta)$
+in \eqnref{FormFact}. \figref{gmoney} shows the the function
+$G(\zeta,A)/2$ for various values of the aspect ratio $A = R/L/\gamma$.
+%
+\begin{figure}[h]
+ \begin{center}
+ \includegraphics[width=120mm]{figures/Gfact}
+ \caption{The bunch form factor $g(\zeta) = G(\zeta,A)/2$.}
+ \label{fig:gmoney}
+ \end{center}
+\end{figure}
+%
+As the figure shows the form factor is less than or equal to unity.
+
+It turns out that this form factor can also be used to describe elliptical beams
+as well. For long beams, the space charge fields on envelope from an elliptical
+beam are equivalent to those of a circular beam with a effective radius $R^{*} =
+(X+Y)/2$. This equivalence gives a good approximation for bunched beams as well
+\cite{HOMY2}. For writing down the final envelope equations, the effect of image
+charges (for emission from a cathode) are included. This is done by letting
+%
+\begin{eqnarray}
+\frac{I(\zeta)g(\zeta)}{\gamma^2}\rightarrow I(\zeta)[(1-\beta^2)g(\zeta) - (1+\beta^2)g(\xi) ],\nonumber
+\end{eqnarray}
+%
+where $\xi = z_s + z_h$. Effectively, this just includes a mirror bunch behind
+the cathode. With this, the final equations of motion for the HOMDYN algorithm
+are written collected together. For the case of a cylindrical system, the
+equations are given in the Larmor frame as:
+%
+\begin{eqnarray}
+\lefteqn{\ddot\sigma_L + \left[\gamma^2\beta\dot\beta\right]\dot\sigma_L + \left[\frac{K}{m\gamma}+(\dot\theta_r)^2\right]\sigma_L=} & &
+\nonumber
+\\
+& & \hspace{2cm}\frac{c^2k_p}{2\beta \gamma\sigma_L}[ \gamma^{-2}G(\zeta,A) - (1+\beta^2)G(\xi,A) ]+\left(\frac{c\epsilon_n}{\gamma}\right)^2\frac{1}{\sigma_L^3}.
+%\nonumber
+%\\
+%\sigma\nprimed{2} + \left[\frac{\gamma\primed}{\beta^2\gamma}\right]\sigma\primed
+%+ \left[\frac{K}{mc^2\beta p_n} + (\theta_r\primed)^2\right]\sigma &=&
+%\frac{k_p}{2\gamma\beta^3\sigma}[ \gamma^{-2}G(\zeta,A) - (1+\beta^2)G(\xi,A) ]+\left(\frac{\epsilon_n}{p_n}\right)^2\frac{1}{\sigma^3}.
+%\nonumber
+%\\
+\end{eqnarray}
+%
+For an elliptical beam in an uncoupled focusing channel the equations are
+%
+\begin{eqnarray}
+\lefteqn{\ddot\sigma_i + \left[\gamma^2\beta\dot\beta\right]\dot\sigma_i
++ \left[\frac{K_i}{m\gamma}\right]\sigma_i =} &&
+\nonumber
+\\
+&& \hspace{2cm}\frac{c^2k_p}{2\beta\gamma\sigma^*}[ \gamma^{-2}G(\zeta,A^*) - (1+\beta^2)G(\xi,A^*) ]+\left(\frac{c\epsilon_{n,i}}{\gamma}\right)^2\frac{1}{\sigma_i^3}.
+%\nonumber
+%\\
+%\sigma_i\nprimed{2} + \left[\frac{\gamma\primed}{\beta^2\gamma}\right]\sigma_i\primed + \left[\frac{K_i}{mc^2\beta p_n}\right]\sigma_i &=& \frac{k_p}{2\beta^3\gamma\sigma^*}[ \gamma^{-2}G(\zeta,A^*) - (1+\beta^2)G(\xi,A^*) ]+\left(\frac{\epsilon_{n,i}}{p_n}\right)^2\frac{1}{\sigma_i^3}.
+%\nonumber
+%\\
+\end{eqnarray}
+%
+In this expression $\sigma^* = (\sigma_x+\sigma_y)/2 $ and $A^* = R^*/\gamma L$.
+These equations can be cast in their equivalent form in terms of the beam sizes.
+This is done below:
+%
+\begin{eqnarray}
+\lefteqn{\ddot R+ \left[\gamma^2\beta\dot\beta\right]\dot R + \left[\frac{K}{m\gamma}+(\dot\theta_r)^2\right]R=} &&
+\nonumber
+\\
+& & \hspace{2cm} \frac{2c^2k_p}{\beta \gamma R}[ \gamma^{-2}G(\zeta,A) - (1+\beta^2)G(\xi,A) ]+\left(\frac{4c\epsilon_{n,x}}{\gamma}\right)^2\frac{1}{R^3},
+%\nonumber
+%\\
+%R\nprimed{2} + \left[\frac{\gamma\primed}{\beta^2\gamma}\right]R\primed
+%+ \left[\frac{K}{mc^2\beta p_n} + (\theta_r\primed)^2\right]R &=&
+%\frac{2k_p}{\gamma\beta^3R}[ \gamma^{-2}G(\zeta,A) - (1+\beta^2)G(\xi,A) ]+\left(\frac{4\epsilon_{n,x}}{p_n}\right)^2\frac{1}{\sigma^3}.
+\end{eqnarray}
+%
+For an elliptical beam in an uncoupled focusing channeling the equations are
+%
+\begin{eqnarray}
+\lefteqn{\ddot X_i + \left[\gamma^2\beta\dot\beta\right]\dot X_i
++ \left[\frac{K_i}{m\gamma}\right]X_i=} &&
+\nonumber
+\\
+& & \hspace{2cm}\frac{2c^2k_p}{\beta\gamma R^*}[ \gamma^{-2}G(\zeta,A^*) - (1+\beta^2)G(\xi,A^*) ]+\left(\frac{4c\epsilon_{n,i}}{\gamma}\right)^2\frac{1}{X_i^3}.
+%\nonumber
+%\\
+%\sigma_i\nprimed{2} + \left[\frac{\gamma\primed}{\beta^2\gamma}\right]\sigma_i\primed + \left[\frac{K_i}{mc^2\beta p_n}\right]\sigma_i &=& \frac{k_p}{2\beta^3\gamma$\sigma^*}[ \gamma^{-2}G(\zeta,A^*) - (1+\beta^2)G(\xi,A^*) ]+\left(\frac{\epsilon_{n,i}}{p_n}\right)^2\frac{1}{\sigma_i^3}.
+\end{eqnarray}
+%
+In all of these expressions the kinetic functions $\beta$ and $\gamma$ as well
+as the beam sizes are functions of the slice position $\zeta$.
+
+\subsubsection{The BET Model: Analytic Space Charge Fields for Bunched Beams}
+
+
+\subsection{Code Comparison}
+
+So far the envelope tracker using the HOMDYN space charge model has
+been successfully compared with the \opalt code for the first 12 meters
+of the \SI{250}{\mega\electronvolt} test injector at PSI. The results for the both the
+transverse and longitudinal rms beam sizes and the emittance are shown in
+\figref{psiInjectorTest}
+%
+\begin{figure}[ht!] \label{fig:secondIB}
+ \begin{center}
+ \includegraphics[width=0.45\textwidth]{figures/EMcompare}
+ \includegraphics[width=0.45\textwidth]{figures/RMScompare}
+ \end{center}
+ \caption{%
+ \label{fig:psiInjectorTest}
+ Comparison of the \opalenv envelope tracker and the full 3D \opalt tracker
+ in the first 12 meters of the \SI{250}{\mega\electronvolt} test injector at PSI. Shown here are
+ both $\sigma_x$ and $\sigma_z$ (a), and the emittance (b).
+ }%
+\end{figure}
+%
+As both plots show, the agreement between both trackers is quite good. To
+generate this data, the envelope tacker was run with 100 beam slices.
\ No newline at end of file
diff --git a/doc/user_guide/opalmap.tex b/doc/user_guide/opalmap.tex
new file mode 100644
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+%=================================================
+%=================================================
+%
+% WARNING: NOT USED IN opal_user_guide.tex
+%
+%=================================================
+%=================================================
+
+\input{header}
+
+
+
+\chapter{\opalmap} \label{sec:SplitOperatorMethods}
+
+
+\section{\opalmap Conventions}
+
+\label{chp:definitions}
+\index{Conventions|(}
+\index{Global!Reference}
+\index{Reference!Global}
+The accelerator and/or beam line to be studied with \opalmap is described as
+a sequence of beam elements placed sequentially along a reference or
+design orbit.
+The global reference orbit, also known as the design orbit \seefig{global}
+is the path of a charged particle having the central design momentum
+of the accelerator through idealised magnets with no fringe fields.
+
+In case of \opalt and \opalcycl with time as the independent variable no such
+explicit design orbit exists. The rest of this chapter is only relevant to
+\opalmap except \secref{units} on the physical units.
+
+
+\section{Design or Reference Orbit}
+\index{Design!Orbit}
+\index{Orbit!Design}
+\index{Reference!Orbit}
+\index{Orbit!Reference}
+The reference orbit consists of a series of
+straight line segments and circular arcs.
+It is defined under the assumption that all elements are
+perfectly aligned along the design orbit.
+The accompanying tripod of the reference orbit spans
+a local curvilinear right handed coordinate system $(x,y,s)$.
+The local $s$-axis is the tangent to the reference orbit.
+The other two axes are perpendicular to the reference orbit and
+are labelled~$x$ (in the bend plane)
+and~$y$ (perpendicular to the bend plane).
+
+\section{Closed Orbit}
+\index{Closed!Orbit}
+\index{Orbit!Closed}
+\index{Misalignment}
+\index{Field!Error}
+\index{Error!Field}
+\index{Error!Misalignment}
+\index{Fringe Field}
+\index{Field!Fringe}
+Due to various errors like misalignment errors, field errors,
+fringe fields etc.,
+the closed orbit does not coincide with the design orbit.
+It also changes with the momentum error.
+The closed orbit is described with respect to the reference orbit,
+using the local reference system \seefig{local}.
+It is evaluated including any nonlinear effects.
+
+\begin{figure}[ht]
+ \begin{center}
+ \setlength{\unitlength}{1pt}
+ \begin{picture}(400,250)
+ % axes
+ \thicklines
+ \put(180,100){\vector(0,1){90}}
+ \put(180,0){\line(0,1){33.3}}
+ \put(187,185){\makebox(0,0){$y$}}
+ \put(280,0){\vector(-1,1){160}}
+ \put(120,150){\makebox(0,0){$x$}}
+ \thinlines
+ \put(180,100){\circle*{4}}
+ % coordinates
+ \put(150,130){\line(0,1){60}}
+ \put(155,125){\line(0,1){60}}
+ \put(160,120){\line(0,1){60}}
+ \put(165,115){\line(0,1){60}}
+ \put(170,110){\line(0,1){60}}
+ \put(175,105){\line(0,1){60}}
+ \put(180,160){\line(-1,1){30}}
+ \put(180,150){\line(-1,1){30}}
+ \put(180,140){\line(-1,1){30}}
+ \put(180,130){\line(-1,1){30}}
+ \put(180,120){\line(-1,1){30}}
+ \put(180,110){\line(-1,1){30}}
+ % radius of curvature and centre
+ \put(280,0){\vector(-3,1){172}}
+ \put(160,30){\makebox(0,0){$\rho$}}
+ \put(280,0){\vector(0,1){142}}
+ \put(290,60){\makebox(0,0){$\rho$}}
+ \put(280,0){\circle*{4}}
+ \put(295,15){\vector(-1,-1){12}}
+ \put(295,15){\makebox(0,0)[bl]{\shortstack{centre of \\curvature}}}
+ \path(270,3.3)(280,9)
+ \path(260,6.7)(280,18)
+ \path(250,10)(280,27)
+ \path(240,13.3)(280,36)
+ \path(230,16.7)(280,45)
+ \path(220,20)(280,54)
+ \path(210,23.3)(280,63)
+ \path(200,26.7)(280,72)
+ \path(190,30)(280,81)
+ \path(180,33.3)(280,90)
+ \path(170,36.7)(280,99)
+ \path(160,40)(280,108)
+ \path(150,43.3)(280,117)
+ \path(140,46.7)(280,126)
+ \path(130,50)(280,135)
+ \path(120,53.3)(278,142)
+ \path(110,56.7)(218,117.9)
+ % actual orbit
+ \thicklines
+ \bezier{150}(0,100)(75,165)(150,190)
+ \bezier{150}(150,190)(240,220)(320,220)
+ \put(320,220){\vector(1,0){4}}
+ \put(80,180){\vector(1,-1){12}}
+ \put(80,180){\makebox(0,0)[br]{\shortstack{actual \\orbit}}}
+ % reference orbit
+ \bezier{150}(40,0)(100,60)(180,100)
+ \bezier{150}(180,100)(260,140)(340,160)
+ \put(340,160){\vector(4,1){4}}
+ \put(330,165){\makebox{$s$}}
+ \put(320,135){\vector(-1,1){12}}
+ \put(320,135){\makebox(0,0)[tl]{\shortstack{reference \\orbit}}}
+ \end{picture}
+ \caption{Local Reference System}
+ \label{fig:local}
+ \end{center}
+\end{figure}
+
+\index{Betatron Motion}
+\index{Synchrotron Motion}
+\opalmap computes the betatron and synchrotron oscillations
+with respect to the closed orbit.
+Results are given in the local $(x, y, s)$-system
+defined by the reference orbit.
+
+\section{Global Reference System}
+\index{Global!Reference}
+\index{Reference!Global}
+
+The global reference orbit \seefig{global}
+of the accelerator is uniquely defined by the sequence of physical elements.
+The local reference system $(x, y, s)$
+may thus be related to a global Cartesian coordinate system $(X, Y, Z)$.
+The positions between beam elements are numbered $0, \ldots , i, \ldots n$.
+The local reference system $(x_i, y_i, s_i)$ at position $i$,
+i.e.\ the displacement and direction of the reference orbit
+with respect to the system $(X, Y, Z)$ are defined by three displacements
+$(X_i, Y_i, Z_i)$ and three angles $(\Theta_i, \Phi_i, \Psi_i)$.
+
+\begin{figure}[ht]% 1.2
+ \begin{center}
+ \setlength{\unitlength}{1pt}
+ \begin{picture}(400,270)
+ % global axes
+ \thicklines
+ \put(20,150){\line(2,-1){40}}
+ \dashline{3}(60,130)(100,110)
+ \put(100,110){\line(2,-1){60}}
+ \put(193,63){\vector(2,-1){90}}
+ \put(300,20){\makebox(0,0){$Z$}}
+ \put(20,100){\line(3,1){30}}
+ \dashline{3}(50,110)(248,176)
+ \put(248,176){\vector(3,1){132}}
+ \put(373,210){\makebox(0,0){$X$}}
+ \put(80,0){\vector(0,1){270}}
+ \put(70,265){\makebox(0,0){$Y$}}
+ %local axes
+ \put(133.3,0){\vector(1,3){90}}
+ \put(215,270){\makebox(0,0){$x$}}
+ \put(300,150){\vector(-2,1){160}}
+ \put(140,220){\makebox(0,0){$y$}}
+ \put(0,100){\vector(2,1){270}}
+ \put(260,240){\makebox(0,0){$s$}}
+ % projection of s onto ZX
+ \thinlines
+ \put(100,110){\circle*{4}}
+ \put(200,200){\circle*{4}}
+ \path(0,110)(170,110)
+ \dashline{3}(170,110)(240,110)
+ \path(240,110)(290,110)
+ \put(280,90){\makebox(0,0)[t]{\shortstack{projection of $s$ \\
+ onto $(Z,X)$-plane}}}
+ \put(280,95){\vector(0,1){13}}
+ \put(20,110){\circle*{4}}
+ \put(50,110){\circle*{4}}
+ % hashing of xy plane
+ \path(210,195)(160,45)
+ \path(220,190)(169.7,39.7)
+ \path(230,185)(187.5,57.5)
+ \path(240,180)(205,75)
+ \path(250,175)(222.5,92.5)
+ \path(260,170)(240,110)
+ \path(270,165)(257.5,127.5)
+ \path(280,160)(275,145)
+
+ \path(196.7,190)(278.9,148.9)
+ \path(193.3,180)(271.1,141.1)
+ \path(190,170)(263.3,133.3)
+ \path(186.7,160)(255.5,125.5)
+ \path(183.3,150)(247.7,117.7)
+ \path(180,140)(239.9,109.9)
+ \path(176.7,130)(232.1,101.1)
+ \path(173.3,120)(224.3,94.3)
+ \path(170,110)(216.5,86.5)
+ \path(166.7,100)(208.7,78.7)
+ \path(163.3,90)(200.9,70.9)
+ \path(160,80)(193.1,63.1)
+ \path(156.7,70)(185.3,55.3)
+ \path(153.3,60)(177.5,47.5)
+ \path(150,50)(169.7,39.7)
+ % hashing of projection plane
+ \put(70,110){\line(0,1){25}}
+ \put(80,110){\line(0,1){30}}
+ \put(90,110){\line(0,1){35}}
+ \put(100,110){\line(0,1){40}}
+ \put(110,110){\line(0,1){45}}
+ \put(120,110){\line(0,1){50}}
+ \put(130,110){\line(0,1){55}}
+ \put(140,110){\line(0,1){60}}
+ \put(150,110){\line(0,1){65}}
+ \put(160,110){\line(0,1){70}}
+ \put(170,110){\line(0,1){75}}
+ \put(180,140){\line(0,1){50}}
+ \put(190,170){\line(0,1){25}}
+ % intersection of xy and ZX
+ \put(130,0){\line(1,1){230}}
+ \put(135,5){\circle*{4}}
+ \put(193.3,63.3){\circle*{4}}
+ \put(240,110){\circle*{4}}
+ \put(286.7,156.7){\circle*{4}}
+ \put(335,205){\circle*{4}}
+ \thicklines
+ \put(200,25){\vector(-1,1){20}}
+ \put(200,20){\makebox(0,0)[t]{\shortstack{intersection of \\
+ $(x,y)$ and $(Z,X)$ planes}}}
+ % reference orbit
+ \bezier{80}(140,150)(170,185)(200,200)
+ \bezier{80}(200,200)(230,215)(260,220)
+ \put(260,220){\makebox(0,0)[l]{\shortstack{reference \\orbit}}}
+ % roll angle
+ \bezier{30}(160,30)(160,40)(150,50)
+ \put(152,48){\vector(-1,1){2}}
+ \put(150,30){\makebox(0,0){$\psi$}}
+ \put(140,30){\makebox(0,0)[br]{roll angle}}
+ % pitch angle
+ \bezier{20}(60,110)(60,120)(55,125)
+ \put(57,123){\vector(-1,2){2}}
+ \put(50,118){\makebox(0,0){$\phi$}}
+ \put(40,125){\makebox(0,0)[br]{pitch angle}}
+ % azimuth
+ \bezier{20}(130,95)(140,100)(140,110)
+ \put(140,105){\vector(0,1){5}}
+ \put(130,105){\makebox(0,0){$\theta$}}
+ \put(115,95){\makebox(0,0)[t]{azimuth}}
+ \end{picture}
+ \caption{Global Reference System}
+ \label{fig:global}
+ \end{center}
+\end{figure}
+
+\index{Displacement}
+The above quantities are defined more precisely as follows:
+\begin{description}
+\item[X]
+ \index{Horizontal Displacement}
+ Displacement of the local origin in $X$-direction.
+\item[Y]
+ \index{Vertical Displacement}
+ Displacement of the local origin in $Y$-direction.
+\item[Z]
+ \index{Longitudinal Displacement}
+ Displacement of the local origin in $Z$-direction.
+ \index{Angle}
+\item[THETA]
+ \index{Azimuth Angle}
+ Angle of rotation (azimuth) about the global $Y$-axis,
+ between the global $Z$-axis and the projection
+ of the reference orbit onto the $(Z, X)$-plane.
+ A positive angle \texttt{THETA} forms a right-hand screw with the $Y$-axis.
+\item[PHI]
+ \index{Pitch Angle}
+ Pitch angle, i.e. the angle between the reference orbit and its projection
+ onto the $(Z, X)$-plane.
+ A positive angle \texttt{PHI} correspond to $Y$ increasing with $s$.
+ If only horizontal bends are present,
+ the reference orbit remains in the ($Z$, $X$)-plane.
+ In this case \texttt{PHI} is always zero.
+\item[PSI]
+ \index{Roll Angle}
+ Roll angle about the local $s$-axis,
+ i.e. the angle between the intersection $(x, y)$- and
+ $(Z, X)$-planes and the local $x$-axis.
+ A positive angle \texttt{PSI} forms a right-hand screw with the $s$-axis.
+\end{description}
+The angles \texttt{(THETA, PHI, PSI)} are \textbf{not} the Euler angles.
+The reference orbit starts at the origin and points by default
+in the direction of the positive $Z$-axis.
+The initial local axes $(x, y, s)$
+coincide with the global axes $(X, Y, Z)$ in this order.
+The six quantities $(X_0, Y_0, Z_0, \Theta_0, \Phi_0, \Psi_0)$
+thus all have zero initial values by default.
+The program user may however specify different initial conditions.
+
+Internally the displacement is described by a vector $V$
+and the orientation by a unitary matrix $W$.
+The column vectors of $W$ are the unit vectors spanning
+the local coordinate axes in the order $(x, y, s)$.
+$V$ and $W$ have the values:
+\[
+V=\left(\begin{array}{c}
+ X \\
+ Y \\
+ Z
+ \end{array}\right),
+\qquad
+W=\Theta\Phi\Psi
+\]
+where
+\[
+\Theta=\left(\begin{array}{ccc}
+ \cos\theta & 0 & \sin\theta \\
+ 0 & 1 & 0 \\
+ -\sin\theta & 0 & \cos\theta
+ \end{array}\right),
+\quad
+\Phi=\left(\begin{array}{ccc}
+ 1 & 0 & 0 \\
+ 0 & \cos\phi & \sin\phi \\
+ 0 & -\sin\phi & \cos\phi
+ \end{array}\right),
+\quad
+\]
+\[
+\Psi=\left(\begin{array}{ccc}
+ \cos\psi & -\sin\psi & 0 \\
+ \sin\psi & \cos\psi & 0 \\
+ 0 & 0 & 1
+ \end{array}\right).
+\]
+
+The reference orbit should be closed and it should not be twisted.
+This means that the displacement of the local reference system
+must be periodic with the revolution frequency of the accelerator,
+while the position angles must be periodic $\pmod{2\pi}$
+with the revolution frequency.
+If \texttt{PSI} is not periodic $\pmod{2\pi}$,
+coupling effects are introduced.
+When advancing through a beam element,
+\opalmap computes $V_i$ and $W_i$
+by the recurrence relations
+\[
+V_i = W_{i-1}R_i + V_{i-1}, \qquad
+W_i = w_{i-1}S_i.
+\]
+
+The vector $R_i$ is the displacement and the matrix
+$S_i$ is the rotation of the local reference system
+at the exit of the element $i$ with respect to the entrance
+of the same element.
+The values of $R_i$ and $S_i$
+are listed below for each physical element type.
+
+\section{Local Reference Systems}
+\index{Local!Reference}
+\index{Reference!Local}
+\subsection{Reference System for Straight Beam Elements}
+\label{sec:straight}
+In straight elements the local reference system \seefig{straight}
+is simply translated by the length of the element along the local $s$-axis.
+This is true for
+\begin{itemize}
+\item Drift spaces \seesec{drift}
+\item Quadrupoles \seesec{quadrupole}
+\item Sextupoles \seesec{sextupole}
+\item Octupoles \seesec{octupole}
+\item Multipoles \seesec{octupole}
+\item Solenoids \seesec{solenoid}
+\item RF cavities \seesec{cavity}
+\item Electrostatic separators \seesec{separator}
+\item Closed orbit correctors \seesec{corrector}
+\item Beam position monitors \seesec{monitors}
+\end{itemize}
+The corresponding $R$, $S$ are
+\[
+R=\left(\begin{array}{c}
+ 0 \\
+ 0 \\
+ L
+ \end{array}\right),
+\qquad
+S=\left(\begin{array}{ccc}
+ 1 & 0 & 0 \\
+ 0 & 1 & 0 \\
+ 0 & 0 & 1 \\
+ \end{array}\right).
+\]
+A rotation of the element about the $S$-axis has no effect
+on $R$ and $S$, since the rotations of the reference system
+before and after the element cancel.
+
+\begin{figure}[ht]
+ \begin{center}
+ \setlength{\unitlength}{1pt}
+ \begin{picture}(400,100)
+ \thinlines
+ % axes
+ \put(150,50){\circle{8}}\put(150,50){\circle*{2}}
+ \put(140,40){\makebox(0,0){$y_1$}}
+ \put(250,50){\circle{8}}\put(250,50){\circle*{2}}
+ \put(260,40){\makebox(0,0){$y_2$}}
+ \put(100,50){\line(1,0){46}}
+ \put(154,50){\line(1,0){92}}
+ \put(254,50){\vector(1,0){46}}
+ \put(290,40){\makebox(0,0){$s$}}
+ \put(150,0){\line(0,1){46}}
+ \put(150,54){\vector(0,1){46}}
+ \put(140,90){\makebox(0,0){$x_1$}}
+ \put(250,0){\line(0,1){46}}
+ \put(250,54){\vector(0,1){46}}
+ \put(260,90){\makebox(0,0){$x_2$}}
+ % magnet outline
+ \thicklines
+ \put(150,54){\line(0,1){26}}
+ \put(150,46){\line(0,-1){26}}
+ \put(250,54){\line(0,1){26}}
+ \put(250,46){\line(0,-1){26}}
+ \put(150,20){\line(1,0){100}}
+ \put(150,80){\line(1,0){100}}
+ \put(200,2){\vector(1,0){50}}
+ \put(200,2){\vector(-1,0){50}}
+ \put(200,10){\makebox(0,0){L}}
+ \end{picture}
+ \caption{Reference System for Straight Beam Elements}
+ \label{fig:straight}
+ \end{center}
+\end{figure}
+
+\subsection{Reference System for Bending Magnets}
+\label{rbend}
+Both rectangular \seefig{rbend} and sector \seefig{sbend}
+bending magnets have a curved reference orbit.
+For both types of magnets
+\[
+R=\left(\begin{array}{c}
+ \rho(\cos\alpha-1) \\
+ 0 \\
+ \rho\sin\alpha
+ \end{array}\right),
+\qquad
+S=\left(\begin{array}{ccc}
+ \cos\alpha & 0 & -\sin\alpha \\
+ 0 & 1 & 0 \\
+ \sin\alpha & 0 & \cos\alpha
+ \end{array}\right),
+\]
+where $\alpha$ is the bend angle.
+A positive bend angle represents a bend to the right,
+i.e. towards negative $x$ values.
+For sector bending magnets,
+the bend radius is given by $\rho$,
+and for rectangular bending magnets it has the value
+\[
+\rho = L / 2 \sin(\alpha/2).
+\]
+If the magnet is rotated about the $s$-axis by an angle psi,
+$R$ and $S$ are transformed by
+\[
+R^{*} = T R, \qquad S^{*} = T S T^{-1}.
+\]
+where $T$ is the orthogonal rotation matrix
+\[
+T=
+\begin{pmatrix}
+ \cos\psi & -\sin\psi & 0 \\
+ \sin\psi & \cos\psi & 0 \\
+ 0 & 0 & 1
+\end{pmatrix}.
+\]
+The special value $\psi = \pi/2$ represents a bend down.
+
+\begin{figure}[ht]
+ \begin{center}
+ \setlength{\unitlength}{1pt}
+ \begin{picture}(400,215)
+ % axes
+ \thinlines
+ \put(150,150){\circle{8}}\put(150,150){\circle*{2}}
+ \put(160,140){\makebox(0,0){$y_1$}}
+ \put(250,150){\circle{8}}\put(250,150){\circle*{2}}
+ \put(240,140){\makebox(0,0){$y_2$}}
+ \put(74,124.7){\vector(3,1){72}}
+ \put(84,135){\makebox(0,0){$s_1$}}
+ \put(254,148.7){\vector(3,-1){72}}
+ \put(316,135){\makebox(0,0){$s_2$}}
+ \put(200,0){\vector(-1,3){48.7}}
+ \put(165,75){\makebox(0,0){$\rho$}}
+ \put(148.7,154){\vector(-1,3){18}}
+ \put(118,206){\makebox(0,0){$x_1$}}
+ \put(200,0){\vector(1,3){48.7}}
+ \put(235,75){\makebox(0,0){$\rho$}}
+ \put(251.3,154){\vector(1,3){18}}
+ \put(282,206){\makebox(0,0){$x_2$}}
+ \bezier{20}(190.5,28.5)(200,31.7)(209.5,28.5)
+ \put(200,20){\makebox(0,0){$\alpha$}}
+ \put(154,150){\line(1,0){92}}
+ \put(200,150){\circle*{4}}
+ \put(200,150){\vector(0,1){60}}
+ \put(210,200){\makebox(0,0){$x$}}
+ \put(150,154){\line(0,1){44}}
+ \put(150,146){\line(0,-1){46}}
+ \put(151,154){\line(1,4){11}}
+ \put(250,154){\line(0,1){44}}
+ \put(250,146){\line(0,-1){46}}
+ \put(249,154){\line(-1,4){11}}
+ % magnet outline
+ \thicklines
+ \put(200,102){\vector(-1,0){50}}
+ \put(200,102){\vector(1,0){50}}
+ \put(200,110){\makebox(0,0){L}}
+ \put(151,154){\line(1,4){6}}
+ \put(149,146){\line(-1,-4){6}}
+ \put(249,154){\line(-1,4){6}}
+ \put(251,146){\line(1,-4){6}}
+ \put(157,178){\line(1,0){86}}
+ \put(143,122){\line(1,0){114}}
+ \bezier{10}(150,195)(155.5,195)(160.9,193.7)
+ \put(155.5,195){\vector(3,-1){5.4}}
+ \put(150,205){\makebox(0,0)[l]{$e_1$}}
+ \bezier{10}(250,195)(244.5,195)(239.1,193.7)
+ \put(244.5,195){\vector(-3,-1){5.4}}
+ \put(250,205){\makebox(0,0)[r]{$e_2$}}
+ \end{picture}
+ \caption[Reference System for a Rectangular Bending Magnet]%
+ {Reference System for a Rectangular Bending Magnet;
+ the signs of pole-face rotations are positive as shown.}
+ \label{fig:rbend}
+ \end{center}
+\end{figure}
+
+\begin{figure}[ht]
+ \begin{center}
+ \setlength{\unitlength}{1pt}
+ \begin{picture}(400,215)
+ % axes
+ \thinlines
+ \put(150,150){\circle{8}}\put(150,150){\circle*{2}}
+ \put(160,140){\makebox(0,0){$y_1$}}
+ \put(250,150){\circle{8}}\put(250,150){\circle*{2}}
+ \put(240,140){\makebox(0,0){$y_2$}}
+ \put(74,124.7){\vector(3,1){72}}
+ \put(84,135){\makebox(0,0){$s_1$}}
+ \put(254,148.7){\vector(3,-1){72}}
+ \put(316,135){\makebox(0,0){$s_2$}}
+ \put(200,0){\vector(-1,3){48.7}}
+ \put(165,75){\makebox(0,0){$\rho$}}
+ \put(148.7,154){\vector(-1,3){18}}
+ \put(118,206){\makebox(0,0){$x_1$}}
+ \put(200,0){\vector(1,3){48.7}}
+ \put(235,75){\makebox(0,0){$\rho$}}
+ \put(251.3,154){\vector(1,3){18}}
+ \put(282,206){\makebox(0,0){$x_2$}}
+ \bezier{20}(190.5,28.5)(200,31.7)(209.5,28.5)
+ \put(200,20){\makebox(0,0){$\alpha$}}
+ \put(200,158.8){\circle*{4}}
+ \put(200,158.8){\vector(0,1){50}}
+ \put(210,200){\makebox(0,0){$r$}}
+ \put(151,154){\line(1,4){10}}
+ \put(249,154){\line(-1,4){10}}
+ % magnet outline
+ \thicklines
+ \bezier{100}(154,151.3)(200,166.7)(246,151.3)
+ \put(162,154){\vector(-3,-1){8}}
+ \put(238,154){\vector(3,-1){8}}
+ \put(210,168){\makebox(0,0){L}}
+ \put(151,154){\line(1,4){6}}
+ \put(149,146){\line(-1,-4){6}}
+ \put(249,154){\line(-1,4){6}}
+ \put(251,146){\line(1,-4){6}}
+ \bezier{90}(157,178)(200,188.4)(243,178)
+ \bezier{110}(143,122)(200,148.6)(257,122)
+ \bezier{20}(137.4,187.9)(149.1,191.5)(159.7,188.8)
+ \put(153.7,190.8){\vector(3,-1){6}}
+ \put(150,180){\makebox(0,0){$e_1$}}
+ \bezier{20}(262.6,187.9)(250.9,191.5)(240.3,188.8)
+ \put(246.3,190.8){\vector(-3,-1){6}}
+ \put(250,180){\makebox(0,0){$e_2$}}
+ \end{picture}
+ \caption[Reference System for a Sector Bending Magnet]%
+ {Reference System for a Sector Bending Magnet;
+ the signs of pole-face rotations are positive as shown.}
+ \label{fig:sbend}
+ \end{center}
+\end{figure}
+
+\subsection{Rotation of the Reference System}
+\label{sec:refrot}
+For a rotation of the reference system by an angle $\psi$ about the
+beam ($s$) axis \seefig{srot}:
+\[
+S=\left(\begin{array}{ccc}
+ \cos\psi & -\sin\psi & 0 \\
+ \sin\psi & \cos\psi & 0 \\
+ 0 & 0 & 1 \\
+ \end{array}\right),
+\]
+while for a
+rotation of the reference system by an angle $\theta$ about
+ the vertical ($y$) axis \seefig{yrot}:
+\[
+S=\left(\begin{array}{ccc}
+ \cos\theta & 0 & -\sin\theta \\
+ 0 & 1 & 0 \\
+ \sin\theta & 0 & \cos\theta
+ \end{array}\right).
+\]
+In both cases the displacement $R$ is zero.
+
+\begin{figure}[ht]%
+ \begin{center}
+ \setlength{\unitlength}{1pt}
+ \begin{picture}(400,200)
+ \thinlines
+ \put(200,100){\circle{8}}\put(200,100){\circle*{2}}
+ \put(190,90){\makebox(0,0){$s$}}
+ \put(100,100){\line(1,0){96}}
+ \put(204,100){\vector(1,0){96}}
+ \put(290,90){\makebox(0,0){$x_1$}}
+ \put(200,0){\line(0,1){96}}
+ \put(200,104){\vector(0,1){96}}
+ \put(190,210){\makebox(0,0){$y_1$}}
+ \put(103,75.75){\line(4,1){93}}
+ \put(204,101){\vector(4,1){93}}
+ \put(287,134){\makebox(0,0){$x_2$}}
+ \put(224.25,3){\line(-1,4){23.25}}
+ \put(199,104){\vector(-1,4){23.25}}
+ \put(166,187){\makebox(0,0){$y_2$}}
+ \bezier{20}(260,100)(260,107.5)(258,114.5)
+ \put(260,106.5){\vector(-1,4){2}}
+ \put(250,106.25){\makebox(0,0){$\psi$}}
+ \put(220,150){\circle{8}}\put(220,150){\circle*{2}}
+ \put(220,140){\makebox(0,0){beam}}
+ \end{picture}
+ \caption{Reference System for a Rotation Around the s-Axis}
+ \label{fig:srot}
+ \end{center}
+\end{figure}
+
+\begin{figure}[ht]%
+ \begin{center}
+ \setlength{\unitlength}{1pt}
+ \begin{picture}(400,200)
+ \thinlines
+ \put(200,100){\circle{8}}\put(200,100){\circle*{2}}
+ \put(190,90){\makebox(0,0){$y$}}
+ \put(100,100){\line(1,0){96}}
+ \put(204,100){\vector(1,0){96}}
+ \put(290,110){\makebox(0,0){$s_1$}}
+ \put(200,0){\line(0,1){96}}
+ \put(200,104){\vector(0,1){96}}
+ \put(190,190){\makebox(0,0){$x_1$}}
+ \put(103,124.25){\line(4,-1){93}}
+ \put(204,99){\vector(4,-1){93}}
+ \put(287,66){\makebox(0,0){$s_2$}}
+ \put(175.75,3){\line(1,4){23.25}}
+ \put(201,104){\vector(1,4){23.25}}
+ \put(234,187){\makebox(0,0){$x_2$}}
+ \bezier{20}(260,100)(260,92.5)(258,85.5)
+ \put(260,93.5){\vector(-1,-4){2}}
+ \put(250,93.75){\makebox(0,0){$\theta$}}
+ \thicklines
+ \put(100,130){\vector(1,0){200}}
+ \put(290,140){\makebox(0,0){beam}}
+ \end{picture}
+ \caption{Reference System for a Rotation Around the y-Axis}
+ \label{fig:yrot}
+ \end{center}
+\end{figure}
+
+\subsection{Elements which do not Change the Local Reference}
+The following elements do not affect the
+reference orbit and are ignored for geometry calculations:
+\begin{itemize}
+\item Beam-beam interactions %Beam-beam interactions \seesec{sec:beambeam}
+\item Marker \seesec{marker}
+\end{itemize}
+
+\section{Sign Conventions for Magnetic Fields}
+\label{sec:sign}
+\index{Sign Conventions For Fields}
+\index{Field!Signs}
+The \opalmap program uses the following Taylor expansion for the normal and
+skewed field components respectively in the mid-plane $y$=0,
+described in \bibref{SLAC-75}{matrix}:
+\[
+B_x(x,0)=\sum_{k=0}^{\infty}\frac{B_{kn}x^k}{k!}, \qquad
+B_x(x,0)=\sum_{k=0}^{\infty}\frac{B_{ks}x^k}{k!}.
+\]
+Note the factorial in the denominator.
+The field coefficients have the following meaning:
+\begin{description}
+\item[$B_{0n}$] Normal dipole field component.
+ The component is positive if the field points in the positive $y$
+ direction.
+ A positive field bends a positively charged particle travelling in
+ positive $s$-direction to the right.
+\item[$B_{0s}$] Skew dipole field component.
+ The component is positive if the field points in the negative $y$
+ direction.
+ A positive field bends a positively charged particle travelling in
+ positive $s$-direction down.
+\item[$B_{1n}$] Normal quadrupole field component
+ $B_{1n}=\uglyparder{B_y}{x}$.
+ The component is positive if $B_y$ is positive on the positive $x$-axis.
+ A positive value corresponds to horizontal focussing of a positively
+ charged particle.
+\item[$B_{1s}$] Skew quadrupole field component
+ $B_{1s}=\uglyparder{B_x}{x}$.
+ The component is positive if $B_x$ is negative on the positive $x$-axis.
+\item[$B_{2n}$] Normal sextupole field component
+ $B_{2n}=\uglyparder[2]{B_y}{x}$.
+ The component is positive if $B_y$ is positive on the $x$-axis.
+\item[$B_{2s}$] Skew sextupole field component
+ $B_{2s}=\uglyparder[2]{B_x}{x}$.
+ The component is negative if $B_x$ is positive on the $x$-axis.
+\item[$B_{3n}$] Normal octupole field component
+ $B_{3n}=\uglyparder[3]{B_y}{x}$.
+ The component is positive if $B_y$ is positive on the positive $x$-axis.
+\item[$B_{3s}$] Skew octupole field component
+ $B_{3s}=\uglyparder[3]{B_x}{x}$.
+ The component is negative if $B_x$ is positive on the $x$-axis.
+\end{description}
+All derivatives are taken on the $x$-axis.
+Using this expansion and the curvature $h$ of the reference orbit,
+the longitudinal component of the vector potential for a magnet with
+mid-plane symmetry is to order~4:
+\index{Field!Vector Potential}
+\index{Vector Potential}
+
+\begin{align*}
+ A_s \quad = \quad
+ & B_{0n}\left(x-\frac{hx^2}{2(1+hx)}\right) \\
+ &+B_{1n}\left(\frac{1}{2}(x^2-y^2)-\frac{h}{6}x^{3}
+ +\frac{h^2}{24}(4x^{4}-y^{4})+\ldots\right) \\
+ &+B_{2n}\left(\frac{1}{6}(x^{3}-3xy^2)-\frac{h}{24}(x^{4}-y^{4})
+ +\ldots\right) \\
+ &+B_{3n}\left(\frac{1}{24}(x^{4}-6x^2y^2+y^{4})+\ldots\right)
+ + \ldots
+\end{align*}
+Taking $\mathrm{curl} A$ in curvilinear coordinates,
+the field components can be computed as
+\index{Field!Components}
+\begin{align*}
+ B_x(x,y) \quad = \quad
+ & B_{1n}\left(y+\frac{h^2}{6}y^{3}+\ldots\right)
+ +B_{2n}\left(xy-\frac{h^{3}}{6}y^{3}+\ldots\right) \\
+ &+B_{3n}\left(\frac{1}{6}(3x^2y-y^{3})+\ldots\right) + \ldots \\
+ B_y(x,y) \quad = \quad
+ & B_{0n}
+ +B_{1n}\left(x-\frac{h}{2}y^2+\frac{h^2}{2}xy^2+\ldots\right) \\
+ &+B_{2n}\left(\frac{1}{2}(x^2-y^2)-\frac{h}{2}xy^2+\ldots\right) \\
+ &+B_{3n}\left(\frac{1}{6}(x^{3}-3xy^2)+\ldots\right) + \ldots
+\end{align*}
+One can easily verify that both $\mathrm{curl} B$ and $\mathrm{div} B$
+are zero to the order of the $B_3$ term.
+Introducing the magnetic rigidity $B \rho$,
+the multipole coefficients are computed as
+\[
+K_{kn}=eB_{kn}/p_0=B_{kn}/B\rho,\qquad
+K_{ks}=eB_{ks}/p_0=B_{ks}/B\rho.
+\]
+Note that the $K_k$ have the \textbf{same sign} as the corresponding
+field components $B_k$.
+The signs will be changed due to the sign of particle charges and
+the direction of travel of the beam.
+
+\section{Variables in \opalmap}
+\label{sec:variables}
+\index{Variables}
+For each variable the physical units are listed in square brackets.
+
+\subsection{Canonical Variables Describing Orbits}
+\label{sec:canon}
+\index{Canonical Variables}
+\index{Variables!Canonical}
+\opalmap uses the following canonical variables
+to describe the motion of particles:
+
+\begin{description}
+\item[X]
+ Horizontal position $x$ of the (closed) orbit,
+ referred to the ideal orbit [m].
+
+\item[PX]
+ Horizontal canonical momentum of the (closed) orbit referred
+ to the ideal orbit, divided by the reference momentum:
+ $\mathtt{PX} = p_x / p_0$.
+
+\item[Y]
+ Vertical position $y$ of the (closed) orbit,
+ referred to the ideal orbit [m].
+
+\item[PY]
+ Vertical canonical momentum of the (closed) orbit referred
+ to the ideal orbit, divided by the reference momentum:
+ $\mathtt{PY} = p_y / p_0$.
+
+\item[T]
+ The negative time difference,
+ multiplied by the instantaneous velocity of the particle [m]:
+ $\mathtt{T} = - v \delta(t)$.
+ A positive \texttt{T} means that the particle arrives ahead of the
+ \textbf{reference particle}.
+ \texttt{T} describes the deviation of the particle from the orbit of
+ a fictitious reference particle having the constant
+ \textbf{reference momentum} $p_s$ and the
+ \textbf{reference velocity} $v_s$.
+ $v_s$ defines the revolution frequency.
+ The velocities have the values
+ \[
+ v = c p / \sqrt{p^2 + m^2 c^2}, \qquad
+ v_s = c p_s / \sqrt{p_s^2 + m^2 c^2},
+ \]
+ where $c$ is the velocity of light, $m$ is the particle rest mass,
+ and $p$ is the instantaneous momentum of the particle.
+
+\item[PT]
+ Momentum error, divided by the reference momentum:
+ $\mathtt{PT} = \delta p / p_s$.
+ This value is only non-zero when synchrotron motion is present.
+ It describes the deviation of the particle from the orbit of a
+ particle with the reference momentum $p_s$.
+\end{description}
+
+The independent variable is:
+\begin{description}
+\item[S]
+ Arc length $s$ along the reference orbit [m].
+\end{description}
+
+The longitudinal variables is in the limit of fully relativistic particles
+($\gamma \gg 1, v = c, p c = E$),
+the variables \texttt{T, PT} used here agree with the longitudinal variables
+used in \bibref{TRANSPORT}{transport}.
+This means that \texttt{T} becomes the negative path length difference,
+while \texttt{PT} is the fractional momentum error.
+The reference momentum must be constant in order to keep the system
+canonical.
+
+\subsection{Normalised Variables and other Derived Quantities}
+\label{sec:normal}
+\index{Normalised Variables}
+\index{Variables!Normalised}
+\begin{description}
+\item[XN]
+ The normalised horizontal displacement [$\mathrm{m}^{1/2}$]:
+ $\mathtt{XN} = x_n = \Re(\transpose{E_1} S Z)$.
+
+\item[PXN]
+ The normalised horizontal transverse momentum [$\mathrm{m}^{1/2}$]:
+ $\mathtt{PXN} = p_{xn} = \Im(\transpose{E_1} S Z$).
+
+\item[WX]
+ The horizontal Courant-Snyder invariant [m]:
+ $\mathtt{WX} = \sqrt{x_n^2 + p_{xn}^2}$.
+
+\item[PHIX]
+ The horizontal phase:
+ $\mathtt{PHIX} = - \arctan(p_{xn} / x_n) / 2 \pi$.
+
+\item[YN]
+ The normalised vertical displacement [$\mathrm{m}^{1/2}$]:
+ $\mathtt{YN} = y_n = \Re(\transpose{E_2} S Z)$.
+
+\item[PYN]
+ The normalised vertical transverse momentum [$\mathrm{m}^{1/2}$]:
+ $\mathtt{PYN} = p_{yn} = \Im(\transpose{E_2} S Z)$.
+
+\item[WY]
+ The vertical Courant-Snyder invariant [m]:
+ $\mathtt{WY} = \sqrt{y_n^2 + p_{yn}^2}$.
+
+\item[PHIY]
+ The vertical phase:
+ $\mathtt{PHIY} = - \arctan(p_{yn} / y_n) / 2 \pi$.
+
+\item[TN]
+ The normalised longitudinal displacement [$\mathrm{m}^{1/2}$]:
+ $\mathtt{TN} = t_n = \Re(\transpose{E_3} S Z)$.
+
+\item[PTN]
+ The normalised longitudinal transverse momentum [$\mathrm{m}^{1/2}$]:
+ $\mathtt{PTN} = p_{tn} = Im(\transpose{E_3} S Z)$.
+
+\item[WT]
+ The longitudinal invariant [m]:
+ $\mathtt{WT} = \sqrt{t_n^2 + p_{tn}^2}$.
+
+\item[PHIT]
+ The longitudinal phase:
+ $\mathtt{PHIT} = + \arctan(p_{tn} / t_n) / 2 \pi$.
+
+\end{description}
+in the above formulas $Z$ is the phase space vector
+$Z = \transpose{(x, p_x, y, p_y, t, p_t)}$.
+The matrix $S$ is the ``symplectic unit matrix''
+\[
+S =
+\begin{pmatrix}
+ 0 & 1 & 0 & 0 & 0 & 0 \\
+ -1 & 0 & 0 & 0 & 0 & 0 \\
+ 0 & 0 & 0 & 1 & 0 & 0 \\
+ 0 & 0 &-1 & 0 & 0 & 0 \\
+ 0 & 0 & 0 & 0 & 0 & 1 \\
+ 0 & 0 & 0 & 0 &-1 & 0
+ \end{pmatrix},
+\]
+and the vectors $E_i$ are the three complex eigenvectors.
+The superscript $T$ denotes the transpose of a vector or matrix.
+
+\section{Physical Units}
+\label{sec:units}
+\index{Units}
+\index{Physical Units}
+Throughout the computations \opal uses international units \seetab{units},
+as defined by SI (Syst\`eme International).
+
+\begin{table}[ht] \footnotesize
+ \begin{center}
+ \caption{Physical Units}
+ \label{tab:units}
+ \begin{tabular}{|l|l|}
+ \hline
+ quantity & dimension \\
+ \hline
+ Length & m (metres) \\
+ Angle & rad (radians) \\
+ Quadrupole coefficient & $\mathrm{m}^{-2}$ \\
+ Multipole coefficient, 2n poles & $\mathrm{m}^{-n}$ \\
+ Electric voltage & MV (Megavolts) \\
+ Electric field strength & MV/m \\
+ Frequency & MHz (Megahertz) \\
+ Phase angles & $2\pi$ \\
+ Particle energy & GeV \\
+ Particle mass & GeV/$c^2$ \\
+ Particle momentum & GeV/c \\
+ Beam current & A (Amperes) \\
+ Particle charge & e (elementary charges) \\
+ Impedances & M$\Omega$ (Megohms) \\
+ Emittances & $\pi$ m mrad \\
+ Emittances \opalt & m rad \footnote{(normalized and un-normalized)}\\
+ RF power & MW (Megawatts) \\
+ Higher mode loss factor & V/pc \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\index{Conventions|)}
+
+
+
+
+
+
+Typically, the total Hamiltonian can be written as the sum of two parts, $H = H_{1} + H_{2}$,
+which correspond to the external and space charge contributions respectively.
+Such a situation is ideally suited to multi-map
+symplectic Split-Operator methods~\cite{forestall}, also known as fractional step methods \cite{SanzSerna}.
+A second-order accurate algorithm for a single step is given by
+\begin{equation} \label{eq:splitOper1}
+{\cal M}(\tau)={\cal M}_1(\tau/2)~{\cal M}_2(\tau)~{\cal M}_1(\tau/2) + \mathcal{O}(\tau^3)
+\end{equation}
+where $\tau$ denotes the step size, ${\cal M}_1$ is the map corresponding
+%\eqnref{mad9pham}
+to $H_{1}$ and ${\cal M}_2$ is the map corresponding to $H_{2}$.
+If desired this approach can be
+easily generalized to higher order accuracy using Yoshida's
+scheme. % ~\cite{yoshida}.
+This is the simplest 2nd order symplectic\footnote{Products of symplectic operators are symplectic as well.} Split-Operator integration method, which first applies all external forces for the first half of one integration step, then adds the complete influence of the internal forces for one entire integration step, and then applies another half of an integration step worth of external forces.
+Details following when \opalmap is implemented.
+
+
+
+
+Each \texttt{member} may be one of the following:
+\begin{itemize}
+
+\item A {SEQUENCE} \seesec{sequence} label,
+\end{itemize}
+Beam lines can be nested to any level.
+
+The {TWISS} command \seesec{twiss} tells \opal to perform
+lattice calculations on the sequence
+\begin{verbatim}
+A,B,C,D,A,D
+\end{verbatim}
+
+\subsection{Reflection and Repetition}
+\label{sec:refrep}
+An unsigned repetition count and an asterisk indicate
+repetition of a beam line member.
+An optional minus sign (\texttt{-}) prefix causes reflection,
+i.e. all elements in the subsequence are taken in reverse order.
+Sub-lines of reflected lines are also reflected,
+but on physical elements the reflection flag is ignored.
+The minus sign must precede any repetition count.
+Repetitions are expanded immediately when a line is read,
+so are reflections of anonymous beam lines.
+The result is a flat line referring to a sequence of named elements and/or
+beam lines.
+Please note this is not yet supported for \noopalt and \noopalcycl.
+When the line is output, it has the form resulting from this expansion.
+
+Example:
+\begin{verbatim}
+R:LINE=(G,H);
+S:LINE=(C,R,D);
+T:LINE=(2*S,2*(E,F),-S,-(A,B));
+TWISS,LINE=T;
+\end{verbatim}
+The three lines are stored as follows:
+\begin{verbatim}
+R:LINE=(G,H);
+S:LINE=(C,R,D);
+T:LINE=(S,S,E,F,E,F,-S,B,A);
+\end{verbatim}
+When \texttt{T} is expanded, substitution is recursive:
+\begin{enumerate}
+\item Replace sub-line \texttt{S}:
+\begin{verbatim}
+(C,R,D,C,R,D,E,F,E,F,D,-R,C,B,A)
+\end{verbatim}
+\item Replace sub-line \texttt{R}:
+\begin{verbatim}
+(C,G,H,D,C,G,H,D,E,F,E,F,D,H,G,C,B,A)
+\end{verbatim}
+\end{enumerate}
+Note that the inner sub-line R is reflected together with
+the outer sub-line S.
+\index{Line|)}
+
+\section{Beam Line Sequences}
+\label{sec:sequence}
+\index{SEQUENCE}
+\index{Sequence|(}
+A sequence of elements can easily be generated from a data base
+using a command looking like
+\begin{verbatim}
+label:SEQUENCE,REFER=keyword,L=expression,REFPOS=name;
+ object-definition;
+ ...;
+ object-definition;
+ENDSEQUENCE;
+\end{verbatim}
+It reads a sequence of element definitions,
+compiles an object which resembles a beam line definition,
+and gives it the name "label".
+The resulting sequence can be used like a beam line.
+Please note this is not yet supported for \noopalt and \noopalcycl.
+The attributes of the sequence are:
+\begin{description}
+\item[REFER]
+ \index{REFER}
+ The reference points for the elements are specified by the \texttt{REFER}
+ attribute:
+ \begin{description}
+ \item[REFER=CENTRE]
+ \index{CENTRE}
+ The reference points are at the element centres (default).
+ \item[REFER=ENTRY]
+ \index{ENTRY}
+ The reference points are at element entrances.
+ \item[REFER=EXIT]
+ \index{EXIT}
+ The reference points are at element exits.
+ \end{description}
+\item[L]
+ \index{L}
+ The length of the \texttt{SEQUENCE} can be given on the
+ \texttt{SEQUENCE} command,
+ or it may be entered with the \texttt{ENDSEQUENCE} command.
+\item[REFPOS]
+ \index{REFPOS}
+ Normally, the reference position for a nested sequence is defined by
+ the \texttt{REFER} attribute of the enclosing sequence,
+ but, if \texttt{REFPOS} is given, it specifies a \textbf{unique}
+ element in the sequence whose \texttt{AT} attribute becomes the
+ reference point for the sequence.
+\end{description}
+For each non-drift element in the sequence one element definition appears
+following the \texttt{SEQUENCE} command and preceding the
+\texttt{ENDSEQUENCE} command.
+These look similar to ordinary element definitions \seechp{element},
+but they may contain an optional specification to place the element:
+\begin{verbatim}
+class-name,AT=expression;
+class-name,AT=expression,FROM=name;
+class-name,DRIFT=expression;
+
+object-name,class-name,
+ AT=expression,attribute,...,attribute;
+object-name,class-name,
+ AT=expression,FROM=name,attribute,...,attribute;
+object-name,class-name,
+ DRIFT=expression,attribute,...,attribute;
+\end{verbatim}
+The meaning of the \texttt{AT} specifications is:
+\begin{description}
+\item[AT=expression]
+ \index{AT}
+ Place the element's entrance, centre, or exit at the specifiet
+ position.
+\item[FROM=name]
+ \index{FROM}
+ Interpret the \texttt{AT} specification as relative to the
+ \textbf{unique} element \texttt{name}.
+\item[FROM=\#S]
+ \index{\#S}
+ Like omitting the \texttt{FROM} specification, \texttt{AT} is
+ relative to the beginning of the sequence.
+\item[FROM=\#E]
+ \index{\#E}
+ The \texttt{AT} specification is relative to the end of the
+ sequence.
+\item[FROM=PREVIOUS]
+ \index{PREVIOUS}
+ The \texttt{AT} specification is relative to the previous element.
+\item[FROM=NEXT]
+ \index{NEXT}
+ The \texttt{AT} specification is relative to the following element.
+\item[DRIFT=expression]
+ \index{DRIFT}
+ The element is preceded by a drift of the given length.
+\end{description}
+
+One should consider the following:
+
+\begin{enumerate}
+\item The name \texttt{class-name} must be an element
+ class name \seesec{elm-class},
+ it may optionally be preceded by a minus sign (\texttt{-}).
+ This inverts the order of the elements in the inserted object.
+ This makes sense only for a beam line or sequence.
+
+\item If the name \texttt{object-name} is not given,
+ \opal inserts the element specified by \texttt{class-name}.
+ In this case no further attributes are allowed.
+
+\item If there is a non-blank \texttt{object-name},
+ this name should not be defined earlier in the data.
+ \opal then first makes a copy of \texttt{class-name} and gives it
+ the new name \texttt{object-name}.
+ Any further attributes override the attributes inherited from
+ \texttt{class-name}.b
+
+\item The elements must be entered in order of increasing position,
+ and they must not overlap.
+ Their positions are evaluated while reading the \texttt{SEQUENCE}
+ definition, and become \textbf{constant} values.
+
+\item A {LINE} \seesec{line} or
+ {SEQUENCE} \seesec{sequence} can be nested in another
+ \texttt{SEQUENCE} or \texttt{LINE}.
+\end{enumerate}
+
+Within the \texttt{SEQUENCE},
+\opal generates the drift spaces for proper positioning.
+
+Example:
+\begin{verbatim}
+// Define element classes for a simple cell:
+B: SBEND,L=35.09,ANGLE = 0.011306116;
+QF: QUADRUPOLE,L=1.6,K1=-0.02268553;
+QD: QUADRUPOLE,L=1.6,K1=0.022683642;
+SF: SEXTUPOLE,L=0.4,K2=-0.13129;
+SD: SEXTUPOLE,L=0.76,K2=0.26328;
+// Define the cell as a sequence:
+CELL:SEQUENCE,L=79.0;
+ B1: B, AT=19.115;
+ SF1:SF,AT=37.42;
+ QF1:QF,AT=38.70;
+ B2: B, AT=58.255,ANGLE=-B1->ANGLE;
+ SD1:SD,AT=76.74;
+ QD1:QD,AT=78.20;
+ENDSEQUENCE;
+\end{verbatim}
+In this example all members of the sequence have a new name,
+and \opal generates copies of the corresponding classes.
+The bending magnet \texttt{B1} is wrapped to change sign,
+but its definition is still equal to \texttt{B}.
+Thus \texttt{B2}, which has the negative field of \texttt{B1},
+has the same effect as the wrapped element \texttt{B1}.
+\index{Sequence|)}
+
+
+\section{Lines and Sequences with arguments}
+\index{Line!Argument}
+\index{Sequence!Argument}
+\index{Argument!Line}
+\index{Argument!Sequence}
+A line or sequence definition can also have parameters like a
+{MACRO} \seesec{macro}.
+Such a line or sequence can be nested (and instantiated) in another
+line or sequence, but it \textbf{must have a unique name} when
+instantiated in a sequence.
+\par
+Examples:
+\begin{verbatim}
+CELL(X,Y):SEQUENCE,L=79;
+ QF&X: QF,AT=...;
+ Y&X: Y,L=1,AT=...;
+ QD&X: QD,AT=...;
+ENDSEQUENCE;
+\end{verbatim}
+When used as
+\begin{verbatim}
+CELL12: CELL(12,SF);
+\end{verbatim}
+this expands to
+\begin{verbatim}
+CELL12:SEQUENCE,L=79;
+ QF12: QF,AT=...;
+ SF12: SF,L=1,AT=...;
+ QD12: QD,AT=...;
+ENDSEQUENCE;
+\end{verbatim}
+A second example:
+\begin{verbatim}
+CELL(X,Y):LINE=(D1,QF&X,D2,Y&X,D3,QD&X,D4);
+\end{verbatim}
+If the proper drifts are used, this example is equivalent to
+the sequence example above.
+
+\section{Shared Lines}
+\label{sec:seq-class}
+\index{Line!Shared}
+\index{Share Lines}
+\index{Sequence!Shared}
+\index{Shared Sequences}
+Please note this is not yet supported for \noopalt and \noopalcycl.
+Normally, when a beam line or sequence is referred to in another line,
+each reference refers to a \textbf{distinct} copy of the line.
+\begin{verbatim}
+L:LINE=(A,B,C);
+S:SEQUENCE,L=real;
+ ...
+ENDSEQUENCE;
+\end{verbatim}
+Such a line or sequence is cloned when it is inserted in another line
+or sequence, thus permitting assignment of errors to its elements
+without affecting other occurrences of the same line.
+
+A beam line or sequence can be shared by using the keyword
+\texttt{SHARED},
+\index{SHARED}
+then the line or sequence is unique,
+and all references in other lines refer to the \textbf{same} instance.
+Example:
+\begin{verbatim}
+// Define the interaction region common to both rings:
+SHARED IR2:SEQUENCE,L=...;
+ ...
+ENDSEQUENCE;
+RING1:LINE=(...,IR2,...);
+RING2:LINE=(...,IR2,...);
+// Now assign imperfections to IR2 wich
+// will be seen by both rings:
+EALIGN,LINE=IR2,DX=...,DY=...;
+\end{verbatim}
+Counterexample:
+\begin{verbatim}
+// Define one superperiod of the machine:
+SUPER:SEQUENCE,L=...;
+ ...
+ENDSEQUENCE;
+// Each occurrence of SUPER is distinct:
+RING:LINE=(8*SUPER);
+// Assign different imperfections to each SUPER:
+EALIGN,LINE=RING,DX=...,DY=...;
+\end{verbatim}
+
+\section{Sequence Editor}
+\label{sec:editor}
+\index{Edit!Sequence}
+\index{Sequence Editor|(}
+\index{SEQEDIT}
+\index{ENDEDIT}
+Please note this is not yet supported for \noopalt and \noopalcycl.
+During editing of a sequence, all element positions are evaluated
+immediately when defined and stored as \textbf{constant} values.
+To modify a sequence it must be selected for editing by the command
+\begin{verbatim}
+SEQEDIT,SEQUENCE=old-name;
+\end{verbatim}
+\opal enters editing mode during which it only recognises the
+sequence editor commands \seetab{edit},
+and makes the sequence \texttt{old-name} the current sequence being edited.
+Editing mode is switched off by the command
+\begin{verbatim}
+ENDEDIT,NAME=new-name;
+\end{verbatim}
+If \texttt{new-name} is non-blank, it becomes the name of the edited sequence,
+otherwise the modified sequence is stored under its old name.
+
+\begin{table}[ht] \footnotesize
+ \begin{center}
+ \caption{Commands accepted in editor mode}
+ \label{tab:edit}
+ \begin{tabular}{|p{0.3\textwidth}|p{0.6\textwidth}|}
+ \hline
+ \tabhead{Command & Purpose}
+ \hline
+ \tabline[sec:editselect]{SELECT}{Select elements to be affected}
+ \tabline[sec:editcycle]{CYCLE}{Change starting point (cyclic interchange)}
+ \tabline[sec:editflat]{FLATTEN}{Flatten the sequence}
+ \tabline[sec:editinstall]{INSTALL}{Install new elements}
+ \tabline[sec:editmove]{MOVE}{Move elements}
+ \tabline[sec:editreflect]{REFLECT}{Reflect the sequence}
+ \tabline[sec:editremove]{REMOVE}{Remove elements}
+ \tabline[sec:editreplace]{REPLACE}{Replace elements}
+ \tabline[sec:editor]{ENDEDIT}{Leave sequence edit mode}
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\subsection{Selecting Element(s)}
+\label{sec:editselect}
+\index{SELECT}
+Elements are selected by a command
+\begin{verbatim}
+SELECT, RANGE=range, CLASS=name, PATTERN=regex,
+ FULL=logical, CLEAR=logical;
+\end{verbatim}
+When the clause \texttt{SELECTED} is used in an editor command,
+that command acts on all elements currently selected.
+A selection remains active until it is explicitly turned off by
+\begin{verbatim}
+SELECT, CLEAR=TRUE;
+\end{verbatim}
+\index{CLEAR}
+or by an \texttt{ENDEDIT} command
+\begin{verbatim}
+ENDEDIT;
+\end{verbatim}
+See also details on element selection \seesec{select}.
+
+\subsection{Change Start Point}
+\label{sec:editcycle}
+\index{CYCLE}
+The command
+\begin{verbatim}
+CYCLE, START=place;
+\end{verbatim}
+\index{START}
+makes a cyclic interchange of all elements in the current edit
+sequence so as to start at the specified place \seesec{aplace}.
+This element should preferrably be a zero-length element like a
+\texttt{MARKER}.
+All further edit commands refer to the \textbf{new} positions.
+
+\subsection{Flatten the Sequence being Edited}
+\label{sec:editflat}
+The sequence loaded into the editor can be flattened by the command
+\begin{verbatim}
+FLATTEN;
+\end{verbatim}
+This creates a copy of the sequence with all sub-lines and
+sub-sequences expanded,
+thus allowing changes also to elements within those nested parts.
+
+\subsection{Install an Element}
+\label{sec:editinstall}
+\index{INSTALL}
+New element(s) can be installed in the edited sequence by the commands
+\begin{verbatim}
+object-name: class-name, AT=at-expression, SELECTED,
+ attributes;
+object-name: class-name, AT=at-expression, FROM=place,
+ attributes;
+object-name: class-name, AT=at-expression, attributes;
+class-name, AT=at-expression, SELECTED;
+class-name, AT=at-expression, FROM=place;
+class-name, AT=at-expression;
+\end{verbatim}
+It has the following attributes:
+\begin{description}
+\item[object\_name]
+The name of the element to be installed.
+If the object name is given, attributes may also be specified to
+override the attributes of the class.
+\item[class\_name]
+The name of the class from which the element is to be defined.
+\item[AT]
+ \index{AT}
+ The position where to install the element.
+\item[FROM]
+ \index{FROM}
+ Three cases are possible:
+ \begin{description}
+ \item[SELECTED]
+ \index{SELECTED}
+ New elements are inserted at \texttt{AT=at-expression} from each
+ currently selected element.
+ \item[FROM=place]
+ A new element is installed at position \texttt{AT=at-expression}
+ relative to the (unique) element at {place} \seesec{aplace}.
+ \item[FROM omitted or blank]
+ A new element is installed at the absolute position
+ \texttt{AT=at-expression}.
+ \end{description}
+ Relative positions may be negative.
+\end{description}
+The two names \texttt{object-name} and \texttt{class-name} interact
+in the same way as for a sequence definition \seesec{sequence}.
+The reference points for elements is defined by the REFER attribute of the
+\texttt{SEQUENCE}.
+
+\subsection{Move an Element}
+\label{sec:editmove}
+\index{MOVE}
+The commands
+\begin{verbatim}
+MOVE, SELECTED, BY=by-expression;
+MOVE, ELEMENT=place, BY=by-expression;
+MOVE, ELEMENT=place, TO=to-expression;
+MOVE, ELEMENT=place, TO=to-expression, FROM=from-name;
+\end{verbatim}
+move element(s) to new location(s).
+Three cases are possible:
+\begin{description}
+\item[SELECTED,BY=by-expression]
+ \index{SELECTED}
+ All currently selected elements are moved by \texttt{by-expression}.
+\item[ELEMENT=place,BY=by-expression]
+ \index{ELEMENT}
+ \index{BY}
+ The (unique) element at \texttt{place} is moved by \texttt{by-expression}.
+\item[ELEMENT=place,TO=to-expression]
+ \index{TO}
+ The (unique) element at \texttt{place} is moved to the absolute position
+ \texttt{to-expression}.
+\item[ELEMENT=place,TO=to-expression,FROM=from-name]
+ \index{FROM}
+ The (unique) element at {place} \seesec{aplace} is moved to
+ position \texttt{to-expression} relative to element
+ \texttt{from-name}. A relative position may be negative.
+\end{description}
+Except in the first case, it is an error to move more than one element
+with one \texttt{MOVE} command.
+The \texttt{MOVE} command must not attempt to change the order of
+elements in the sequence;
+elements can not ``hop'' over each other.
+
+\subsection{Reflect a Sequence}
+\label{sec:editreflect}
+\index{REFLECT}
+The command
+\begin{verbatim}
+REFLECT;
+\end{verbatim}
+reverses the order of all elements in the sequence currently being
+edited.
+All further editing commands must refer to the \textbf{new} positions.
+The sequence members are \textbf{not} reflected.
+
+\subsection{Remove an Element}
+\label{sec:editremove}
+\index{REMOVE}
+One or more element(s) can be removed by the commands
+\begin{verbatim}
+REMOVE, SELECTED;
+REMOVE, ELEMENT=place;
+\end{verbatim}
+Two cases are possible:
+\begin{description}
+\item[SELECTED]
+ \index{SELECTED}
+ Removes all currently selected elements,
+\item[ELEMENT=place]
+ \index{ELEMENT}
+ Removes the single element at {place} \seesec{aplace}.
+ It is an error of \texttt{name} occurs more than once in the sequence.
+\end{description}
+
+\subsection{Replace an Element}
+\label{sec:editreplace}
+\index{REPLACE}
+The commands
+\begin{verbatim}
+REPLACE, SELECTED, BY=new-name;
+REPLACE, ELEMENT=place, BY=new-name;
+\end{verbatim}
+replace one or more element(s) in the sequence.
+Two cases are possible:
+\begin{description}
+\item[SELECTED]
+ \index{SELECTED}
+ All currently selected elements are replaced by an occurrence of the
+ element \texttt{new-name}.
+\item[ELEMENT=old-name]
+ \index{ELEMENT}
+ The (unique) element at {place} \seesec{aplace} is replaced
+ by \texttt{new-name}.
+ It is an error if \texttt{old-name} is not unique.
+\end{description}
+Example:
+\begin{verbatim}
+REPLACE, ELEMENT=QF15, BY=QF17; // replace one element
+\end{verbatim}
+\index{Sequence Editor|)}
+
+\subsection{Example for the Sequence Editor}
+\label{sec:editxmpl}
+\index{Editor Examples}
+\begin{verbatim}
+SEQ: SEQUENCE, L=79.00;
+ B1: B, AT=19.115;
+ SF1: SF, AT=37.42;
+ QF1: QF, AT=38.70;
+ B2: B, AT=58.255;
+ SD1: SD, AT=76.74;
+ QD1: QD, AT=78.20;
+END;
+
+B2W:B2,ANGLE=0.1*B2->ANGLE;
+
+EDIT, SEQUENCE=SEQ;
+ MOVE, ELEMENT=SF1, TO=-1.27, FROM=QF1;
+ MOVE, ELEMENT=SD1, BY=0.01;
+ REPLACE, ELEMENT=B2, BY=BS2;
+END, NAME=NEWSEQ;
+\end{verbatim}
+This example moves the two sextupoles and replaces the element \texttt{B2}
+by the element \texttt{B2W}.
+The effect of the above \texttt{REPLACE} command is equivalent to
+\begin{verbatim}
+INSTALL, ELEMENT=B2W, AT=0, FROM=B2;
+REMOVE, CLASS=B2;
+\end{verbatim}
+In this example a new element \texttt{B2W} is installed at the position
+of \texttt{B2} and the the latter is removed.
+This works, since all positions are e
+
+
+\clearpage
+\subsection{CERN SPS Lattice}
+\label{sec:sps}
+\index{SPS}
+The CERN SPS lattice may be represented using the following beam elements:
+\begin{verbatim}
+QF:QUADRUPOLE,...; // focusing quadrupole
+QD:QUADRUPOLE,...; // defocusing quadrupole
+B1:RBEND,...; // bending magnet of type 1
+B2:RBEND,...; // bending magnet of type 2
+DS:DRIFT,...; // short drift space
+DM:DRIFT,...; // drift space replacing two bends
+DL:DRIFT,...; // long drift space
+\end{verbatim}
+The SPS machine is represented by the lines
+\begin{verbatim}
+SPS: LINE=(6*SUPER);
+SUPER: LINE=(7*P44,INSERT,7*P44);
+INSERT:LINE=(P24,2*P00,P42);
+P00: LINE=(QF,DL,QD,DL);
+P24: LINE=(QF,DM,2*B2,DS,PD);
+P42: LINE=(PF,QD,2*B2,DM,DS);
+P44: LINE=(PF,PD);
+PD: LINE=(QD,2*B2,2*B1,DS);
+PF: LINE=(QF,2*B1,2*B2,DS);
+\end{verbatim}
+In order not to overload the example,
+small gaps between magnetic elements have been omitted.
+
+\subsection{LEP Lattice}
+\label{sec:lep}
+\index{LEP}
+A preliminary description of LEP has been given in the
+\bibref{LEP pink book}{LEP}.
+Translation of those element sequences to the \opal input format gives:
+\begin{verbatim}
+LEP: LINE=(4*SUP);
+SUP: LINE=(OCT, -OCT);
+OCT: LINE=(LOBS, RFS, DISS, ARC, DISL, RFL, LOBL);
+LOBS:LINE=(L1, QS1, L2, QS2, L3, QS3, L4, QS4);
+RFS: LINE=(L5, QS5, L5, QS6, L5, 2*(QS7, L5, QS8, L5));
+DISS:LINE=(QS11, L25, BW, L22, QS12, L25, B4, L22, QS13,
+ L25, B4, L22, QS14, L25, B4, L31, QS15, L25,
+ B4, L32, SF, L23, QS16);
+ARC: LINE=(L21, B6, L22, SD, L23, QD,
+ 7*(CELL(SF1, SD1), CELL(SF, SD)),
+ CELL(SF1, SD1), L24, B6, L41, QF, L21, B6,
+ L22, SD4, L23, QD, 7*(CELL(SF4, SD3),
+ CELL(SF3, SD4)), CELL(SF4, SD3), L24, B6,
+ L22, SF3, L23);
+DISL:LINE=(QL16, L34, B4, L22, QL15, L33, B4, L22,
+ QL14, L25, B4, L22, QL13, L25, B4, L22, QL12,
+ L25, BW, L22, QL11);
+RFL: LINE=(2*(L5, QL8, L5, QL7), L5, QL6, L5, QL5, L5);
+LOBL:LINE=(QL4, L14, QL3, L13, QL2, L12, QL1, L11);
+BW: LINE=(W, L26, W);
+B4: LINE=(B, L26, B);
+B6: LINE=(B, L26, B, L26,B);
+CELL(SF,SD):LINE=(L24, B6, L22, SF, L23, QF, L21, B6,
+ L22, SD, L23, QD);
+\end{verbatim}
+Here the element definitions have been left out to save space.
+
+\section{Global Reference Momentum}
+\label{sec:P0}
+\index{P0}
+Before any physics computations are attempted the following command
+should be entered:
+\begin{verbatim}
+P0=real;
+\end{verbatim}
+This command sets the global reference momentum in GeV/c,
+which is used to compute the magnetic fields from the normalized
+multipole coefficients.
+The {BEAM}~command \seechp{beam} then renomalizes the
+multipole coefficients.
+This mechanism allows sending a beam with a momentum different from the
+design momentum through a beam line.
+
+\section{BEAM command options}
+
+By default the particle momentum is P0 \seesec{P0}.
+A different value can be defined by one of the following:
+\begin{description}
+\item[ENERGY]
+ \index{ENERGY}
+ \index{Particle!Energy}\index{Energy}
+ \index{Total Energy}
+ The total energy per particle in GeV.
+ If given, it must be greater then the particle mass.
+\item[PC]
+ \index{PC}
+ \index{Momentum}
+ \index{Particle!Momentum}
+ The momentum per particle in GeV/c.
+ If given, it must be greater than zero.
+\item[GAMMA]
+ \index{GAMMA}
+ The ratio between total energy and rest energy of the particles
+ $\gamma = E / m_0$.
+ If given, it must be greater than one.
+ If the mass is changed a new value for the energy should be entered.
+ Otherwise the energy remains unchanged,
+ and the momentum and $\gamma$ are recalculated.
+\end{description}
+The emittances are defined by:
+\begin{description}
+\item[EX]
+ \index{EX}
+ \index{Emittance!Horizontal}
+ The horizontal emittance
+ $E_x=\sigma_x^2/\beta_x$
+ (default:~1~m).
+\item[EY]
+ \index{EY}
+ \index{Emittance!Vertical}
+ The vertical emittance
+ $E_y=\sigma_y^2/\beta_y$
+ (default:~1~m).
+\item[ET]
+ \index{ET}
+ \index{Emittance!Longitudinal}
+ The longitudinal emittance
+ $E_t=\sigma_e/(p_0c) \cdot c\sigma_t$
+ (default:~1~m).
+ The emittances can be replaced
+ by the normalised emittances and the energy spread:
+\item[EXN]
+ \index{EXN}
+ \index{Normalised Emittance}\index{emittance!normalised}
+ The normalised horizontal emittance [m]:
+ $E_{xn}=4\beta\gamma E_x$
+ (ignored if $E_x$ is given).
+\item[EYN]
+ \index{EYN}
+ The normalised vertical emittance [m]:
+ $E_{yn}=4\beta \gamma E_y$
+ (ignored if $E_y$ is given).
+\item[SIGT]
+ \index{SIGT}
+ \index{Bunch!Length}
+ The bunch length $c\sigma_t$ [m].
+\item[SIGE]
+ \index{SIGE}
+ \index{Energy!Spread}
+ The {\em relative} energy spread $\sigma_e/p_0 c$ [1].
+\end{description}
+For the time being, only the particle definition
+(\texttt{PARTICLE,MASS,CHARGE,PC,
+ENERGY,GAMMA}) is used.
+The other parameters will be implemented as needed when new commands
+become available.
+%Certain commands compute the synchrotron tune $Q_s$
+%from the RF cavities.
+%If $Q_s\neq 0$,
+%the relative energy spread $\sigma_e/p_0c$
+%and the bunch length $c\sigma_t$ are
+%\[
+%\frac{\sigma_e}{p_0c}=\sqrt{\frac{2\pi Q_s E_t}{\eta C}},
+%\qquad
+%c\sigma_t=\sqrt{\frac{\eta C E_t}{2\pi Q_s}},
+%\]
+%where $C$ is the machine circumference, and
+%$\eta = (1/\gamma^2) - (1/\gamma_{tr}^2)$.
+%Finally, the \texttt{BEAM} command accepts
+%\begin{description}
+%\item[KBUNCH]
+% \index{Bunch!Number}
+% The number of particle bunches in the machine (default:~1).
+%\item[NPART]
+% \index{Bunch}
+% The number of particles per bunch (default:~0).
+%\item[BCURRENT]
+% \index{Beam!Current}\index{Bunch!Current}
+% \index{Current}
+% The bunch current (default:~0~A).
+%\item[BUNCHED]
+% \index{Bunch}
+% A logical flag.
+% If set, the beam is treated as bunched whenever this makes sense.
+%\item[RADIATE]
+% \index{Radiation}
+% \index{Synchrotron!Radiation}
+% A logical flag.
+% If set, synchrotron radiation is considered in all bipolar magnets.
+%\end{description}
+
+\section{Tracking}
+
+\section{Define Initial Conditions}
+\label{sec:trackstart}
+\index{START}
+The \texttt{START} command is not used in \noopalt and \noopalcycl. In
+\opalt and \opalcycl initial conditions are defined by generating a particle
+distribution using the \texttt{DISTRIBUTION} command \seechp{distribution} or
+run \opal in the restart mode \seesec{Restart}.
+
+The \texttt{START} command defines the initial coordinates of
+the particles to be tracked.
+There may be many \texttt{START} statements, one for each particle.
+Particles are always started with coordinates relative
+to the computed closed orbit for the defined energy error.
+The command format is:
+\begin{verbatim}
+START, X=real, PX=real, Y=real, PY=real, T=real,
+ DELTAP=real;
+START, FX=real, PHIX=real, FY=real, PHIY=real, FT=real,
+ PHIT=real;
+\end{verbatim}
+\texttt{START} statements must be entered after the
+{TRACK} command \seesec{trackmode},
+but before the {RUN} command \seesec{trackrun}.
+
+\subsection{Absolute Particle Positions}
+The first form of the {START} command \seesec{trackstart} defines
+absolute particle positions \seesec{variables}:
+\begin{description}
+\item[X]
+ \index{X}
+ Horizontal position $x$, referred to the ideal orbit [m].
+\item[PX]
+ \index{PX}
+ Horizontal canonical momentum, divided by the reference momentum [1].
+\item[Y]
+ \index{Y}
+ Vertical position $y$, referred to the ideal orbit [m].
+\item[PY]
+ \index{PY}
+ Vertical canonical momentum, divided by the reference momentum [1].
+\item[T]
+ \index{T}
+ The negative time difference,
+ multiplied by the instantaneous velocity of the particle [m].
+\item[PT]
+ \index{PT}
+ Momentum error, divided by the reference momentum [1].
+\end{description}
+
+\subsection{Normalised Particle Positions}
+The second form of the \texttt{START} command defines
+normalised particle positions \seesec{normal}:
+\begin{description}
+\item[FX]
+ \index{FX}
+ The normalised amplitude for mode 1 [1]:
+\item[PHIX]
+ \index{PHIX}
+ The phase for mode 1 [1]:
+ $\phi_x = - \arctan(p_{xn}/x_n) / 2 \pi$,
+\item[FY]
+ \index{FY}
+ The normalised amplitude for mode 2 [1]:
+\item[PHIY]
+ \index{PHIY}
+ The phase for mode 2 [1]:
+ $\phi_y = - \arctan(p_{yn}/y_n) / 2 \pi$,
+\item[FT]
+ \index{FT}
+ The normalised amplitude for mode 3 [1]:
+\item[PHIT]
+ \index{PHIT}
+ The phase for mode 3 [1]:
+ $\phi_t = + \arctan(p_{tn}/t_n) / 2 \pi$,
+\end{description}
+
+\subsection{Initial Conditions}
+Mixing absolute and normalised positions is possible,
+in this case the results are added.
+Initial conditions $Z$ in unnormalised phase space are related
+to the closed orbit and the absolute and normalised coordinates as follows:
+\[
+\begin{array}{rcl}
+ Z = Z_{co}&+& \sqrt{E_x} \hbox{\tt FX}
+ (\Re V_k \cos \hbox{\tt PHIX} + \Im V_k \sin \hbox{\tt PHIX}) \\
+ &+& \sqrt{E_y} \hbox{\tt FY}
+ (\Re V_k \cos \hbox{\tt PHIY} + \Im V_k \sin \hbox{\tt PHIY}) \\
+ &+& \sqrt{E_t} \hbox{\tt FT}
+ (\Re V_k \cos \hbox{\tt PHIT} + \Im V_k \sin \hbox{\tt PHIT})
+\end{array}
+\]
+where $Z_{co}$ is the closed orbit vector, and $Z$ is the vector
+\[
+Z = \transpose{(\texttt{X,PX,Y,PY,T,PT})},
+\]
+and $\Re V_k$ and $\Im V_k$ are the real and imaginary parts of the
+$k^{th}$ eigenvector,
+which are computed in the {TRACK} command \seesec{trackmode}.
+
+%\section{Define Power Supply Ripple}
+%\label{sec:tracknoise}
+%\index{NOISE}
+
+%One may define noise to be applied to magnet excitations
+%with the statement
+%\begin{verbatim}
+%NOISE,VARIABLE=variable,AMPLITUDE=real_vector,
+% FREQUENCY=real_vector,PHASE=real_vector;
+%\end{verbatim}
+%The NOISE statement must be entered after the
+%{TRACK} command \seesec{trackmode},
+%but before the {RUN} command \seesec{trackrun}.
+%It has the effect to apply several sinusoidal variations to the
+%specified parameter.
+%The command has four attributes.
+%\begin{description}
+%\item[VARIABLE]
+% Reference to the {variable} \seesec{avariable} to be affected.
+%\item[AMPLITUDE]
+% A {vector} \seesec{avector} of \texttt{real} \seesec{areal}
+% noise amplitudes $A_i$.
+%\item[FREQUENCY]
+% A {vector} \seesec{avector} of \texttt{real} \seesec{areal}
+% noise frequencies $f_i$.
+%\item[PHASE]
+% A {vector} \seesec{avector} of \texttt{real} \seesec{areal}
+% noise phases $phi_i$.
+%\end{description}
+%Example:
+%\begin{verbatim}
+%NOISE,VARIABLE=QF[K1],AMPLITUDE={1.e-3,2.e-4},
+% FREQUENCY=table(2,50*(#+1)),PHASE=table(2,0);
+%\end{verbatim}
+%Before each turn is tracked, the noise is re-evaluated as
+%\[
+%\Delta A = \sum_{i=1}^N A_i \cos ( 2\pi (f_i t + \phi_i)).
+%\]
+%where $t$ is the real time.
+
+\section{Save Particle Positions}
+\label{sec:tracksave}
+\index{TSAVE}
+The \texttt{TSAVE} command is not used in \noopalt and \noopalcycl. The command
+\begin{verbatim}
+TSAVE, FILE=string;
+\end{verbatim}
+saves the most recent particle bunch positions on the file named by
+\texttt{string}.
+\index{FILE}
+These will normally be the positions of surviving particles after the
+most recent {RUN} command \seesec{trackrun}.
+If no \texttt{RUN} command has been seen yet,
+the positions are the result of any
+{START} commands \seesec{trackstart} seen.
+The positions are written as \texttt{START} commands,
+and the file may be read by a subsequent tracking run.
+
+\index{Tracking|)}
+
+\section{Element Classes}
+\label{sec:elm-class}
+\index{Element!Class}
+\index{Class!Of Elements}
+The concept of element classes solves the problem of addressing
+instances of elements in the accelerator in a convenient manner.
+It also helps defining portions of the machine which are shared
+physically between two or more beam lines.
+
+This concept will first be illustrated by an example.
+All the quadrupoles in the accelerator form a class \texttt{QUADRUPOLE}.
+Let us define three subclasses for the focussing quadrupoles,
+the defocussing quadrupoles, and the skewed quadrupoles:
+\begin{example}
+MQF:QUADRUPOLE, L=LQM, K1=KQF; // Focusing quadrupoles
+MQD:QUADRUPOLE, L=LQM, K1=KQD; // Defocusing quadrupoles
+MQT:QUADRUPOLE, L=LQT; // Skewed quadrupoles
+\end{example}
+These classes can be thought of as new keywords which define elements
+with specified default attributes.
+We now use them to define the real quadrupoles:
+\begin{example}
+QD1:MQD; // Defocusing quadrupoles
+QD2:MQD;
+QD3:MQD;
+...
+QF1:MQF; // Focusing quadrupoles
+QF2:MQF;
+QF3:MQF;
+...
+QT1:MQT, K1S=KQT1; // Skewed quadrupoles
+QT2:MQT, K1S=KQT2;
+...
+\end{example}
+These quadrupoles inherit all unspecified attributes from their class.
+This allows to build up a hierarchy of objects with a rather
+economic input structure.
+
+The full power of the class concept is revealed when object classes
+are used to select \seesec{select} instances of elements for printing.
+\noindent Example:
+\begin{example}
+SELECT, CLASS=QUADRUPOLE; // Select all quadrupoles
+PRINT, CLASS=MQT; // Select skewed quadrupoles
+\end{example}
+
+More formally, for each element keyword \opal maintains a class of
+elements with the same name.
+A defined element becomes itself a class which can be used to define
+new objects,
+which will become members of this class.
+A new object inherits all attributes from its class;
+but its definition may override some of those values by new ones.
+All class and object names can be used in range selections,
+providing a powerful mechanism to specify positions
+for matching constraints and printing.
+
+When an object is used in a beam line,
+\opal automatically makes a copy of that element,
+unless the object is defined as \texttt{SHARED}.
+The user can later attach imperfections to all copies individually.
+Example:
+\begin{example}
+QF:QUADRUPOLE,...; // Define the class QF
+L:LINE=(...,QF,...,QF,...) // Each QF is distinct
+QF1:QF,...; // QF1 is derived from QF
+\end{example}
+
+On the contrary, if an object is defined as shared using the keyword
+\texttt{SHARED},
+\index{Shared Element}
+\index{Element!Shared}
+\index{SHARED}
+its use in more than one beam line implies the same object occurs
+in all those beam lines.
+Example:
+\begin{example}
+SHARED QF:QUADRUPOLE,...; // Define shared quadrupole
+ // QF
+L1:LINE=(...,QF,...,QF,...) // All the QF's are the same
+ // ...
+L2:LINE=(...,QF,...) // ... also in this line.
+\end{example}
+This is a restricted feature: \noopalt, \noopalcycl.
+
+\subsection{BEND \opalmap Mode}
+\label{sec:opalmap:bend}
+The two types of bending magnets are defined by the commands:
+\begin{example}
+SBEND,TYPE=string, APERTURE=real-vector, L=real,
+ ANGLE=real, K0=real, K1=real, K2=real, K3=real,
+ K0S=real, K1S=real, K2S=real, K3S=real, E1=real,
+ E2=real, H1=real, H2=real, HGAP=real,FINT=real;
+RBEND,TYPE=string, APERTURE=real-vector, L=real,
+ ANGLE=real, K0=real, K1=real, K2=real, K3=real,
+ K0S=real, K1S=real, K2S=real, K3S=real, E1=real,
+ E2=real, H1=real, H2=real, HGAP=real, FINT=real;
+\end{example}
+For both types, the following attributes are permitted:
+\begin{description}
+\item[L]
+ \index{L}
+ The length of the magnet (default: 0~m).
+ For a rectangular magnet the length is measured along a straight line,
+ while for a sector magnet it is the arc length of the reference orbit.
+ A thin dipole \seesec{thin} is described with length zero.
+ In this case all fields are the integrated fields. \\
+\item[ANGLE]
+ \index{ANGLE}
+ The \textbf{geometric} bend angle (default: 0 rad).
+ It is this attribute only which determines the geometry of the magnet.
+ A positive bend angle bends the reference axis to the right,
+ i.e. towards negative $x$~values. \\
+\item[K0]
+ \index{K0}
+ The normal dipole component
+ $K_0=\frac{1}{B \rho}B_y$.
+ If this value is not given, it is taken as \texttt{ANGLE/L}.
+ A positive value bends positive particles to the right (towards
+ negative $x$).\\
+\item[K0S]
+ \index{K0S}
+ The skew dipole component
+ $K_{0S}=\frac{1}{B \rho}B_x$.
+ The default is $0 \mathrm{m}^{-2}$.
+ The component is positive for a bend up.\\
+\item[K1]
+ \index{K1}
+ The normal quadrupole component
+ $K_1=\frac{1}{B \rho}\diffp{B_y}{x}$.
+ The default is $0 \mathrm{m}^{-2}$.
+ The component is positive, if $B_y$ is positive on the positive $x$-axis.
+ This implies horizontal focusing of positively charged particles which
+ travel in positive $s$ direction.\\
+\item[K1S]
+ \index{K1S}
+ The skew quadrupole component
+ $K_{1s}=\frac{1}{B \rho}\diffp{B_x}{x}$.
+ The default is $0 \mathrm{m}^{-2}$.
+ The component is negative, if $B_x$ is positive on the positive $x$-axis.\\
+\item[K2]
+ \index{K2}
+ The normal sextupole component
+ $K_2=\frac{1}{B \rho}\diffp[2]{B_y}{x}$.
+ The default is $0 \mathrm{m}^{-3}$.
+ The component is positive, if $B_y$ is positive on the positive $x$-axis.\\
+\item[K2S]
+ \index{K2S}
+ The skew sextupole component
+ $K_{2s}=\frac{1}{B \rho}\diffp[2]{B_x}{x}$.
+ The default is $0 \mathrm{m}^{-3}$.
+ The component is negative, if $B_x$ is positive on the positive $x$-axis.\\
+\item[K3]
+ \index{K3}
+ The normal sextupole component
+ $K_3=\frac{1}{B \rho}\diffp[3]{B_y}{x}$.
+ The default is $0 \mathrm{m}^{-4}$.
+ The component is positive, if $B_y$ is positive on the positive $x$-axis.\\
+\item[K3S]
+ \index{K3S}
+ The skew sextupole component
+ $K_{3s}=\frac{1}{B \rho}\diffp[3]{B_x}{x}$.
+ The default is $0 \mathrm{m}^{-4}$.
+ The component is negative, if $B_x$ is positive on the positive $x$-axis.\\
+ \item[E1]
+ \index{E1}
+ The rotation angle for the entrance pole face
+ (default: 0 rad).
+\item[E2]
+ \index{E2}
+ The rotation angle for the exit pole face
+ (default: 0 rad).
+\item[H1]
+ \index{H1}
+ The curvature of the entrance pole face (default: $0 \mathrm{m}^{-1}$).\\
+ \item[H2]
+ \index{H2}
+ The curvature of the exit pole face (default: $0~\mathrm{m}^{-1}$).
+ A positive pole face curvature induces a negative sextupole component;
+ i.e. for positive \texttt{H1} and \texttt{H2}
+ the centres of curvature of the pole faces are placed inside the magnet.\\
+\end{description}
+
+
+
+\section{Thin Lenses}
+\label{sec:thin}
+\index{Thin Lens}
+All multipole-like elements
+(\texttt{RBEND, SBEND, QUADUPOLE, SEXTUPOLE, OCTUPOLE, MULTIPOLE})
+can have a finite or a zero length. This does not apply to \opalt and \opalcycl where the elements have to have a finite length and elements with zero length are ignored.
+For finite length the multipole coefficients are the coefficients per
+unit length;
+for zero length they are interpreted as the integrated strength.
+The {SAVE} command \seesec{save} converts thin elements to
+thin multipoles.
+
+\section{Markers}
+\label{sec:marker}
+\index{MARKER}
+\begin{example}
+label: MARKER, TYPE=string, APERTURE=vector;
+\end{example}
+The simplest element which can occur in a beam line is the \texttt{MARKER}.
+It has no effect on the beam,
+but it allows one to identify a position in the beam line,
+for example to apply a matching constraint.
+A marker has no attributes:
+\noindent Example:
+\begin{example}
+M27:MARKER;
+\end{example}
+This is a restricted feature: \noopalt, \noopalcycl.
+
+\section{Orbit Correctors}
+\label{sec:corrector}
+\index{Orbit Corrector}
+\index{KICKER}
+\index{HKICKER}
+\index{VKICKER}
+Three types of closed orbit correctors are available:
+\begin{description}
+\item[HKICKER]
+ \index{HKICKER}
+ \label{sec:hkicker}
+ A corrector for the horizontal plane,
+\item[VKICKER]
+ \index{VKICKER}
+ \label{sec:vkicker}
+ A corrector for the vertical plane,
+\item[KICKER]
+ \index{KICKER}
+ \label{sec:kicker}
+ A corrector for both planes.
+\end{description}
+\begin{example}
+label:HKICKER, TYPE=string, APERTURE=real-vector,
+ L=real, KICK=real;
+label:VKICKER, TYPE=string, APERTURE=real-vector,
+ L=real, KICK=real;
+label:KICKER, TYPE=string, APERTURE=real-vector,
+ L=real, HKICK=real, VKICK=real;
+\end{example}
+They have the following attributes:
+\begin{description}
+\item[L]
+ \index{L}
+ The length of the closed orbit corrector (default: 0~m).
+\item[KICK]
+ \index{KICK}
+ The kick angle for either horizontal or vertical correctors.
+ (default: 0~rad).
+\item[HKICK]
+ \index{HKICK}
+ The horizontal kick angle for a corrector in both planes
+ (default: 0~rad).
+\item[VKICK]
+ \index{VKICK}
+ The vertical kick angle for a corrector in both planes
+ (default: 0 rad).
+\end{description}
+A positive kick increases $p_{x}$ or $p_{y}$
+respectively.
+
+\noindent Examples:
+\begin{example}
+HK1:HKICKER, KICK=0.001;
+VK3:VKICKER, KICK=0.0005;
+KHV:KICKER, HKICK=0.001, VKICK=0.0005;
+\end{example}
+The first kicker is rotated about the longitudinal axis by 10 degrees.
+The reference system for an orbit corrector is a
+Cartesian coordinate system \seefig{straight}.
+
+\subsection{RFCavities \opalmap mode}
+The following attributes are supported only by the \opalmap mode
+\begin{description}
+\item[HARMON]
+ \index{HARMON}
+ The harmonic number $h$ (no default).
+ Note that the RF frequency is computed from the harmonic number
+ and the revolution frequency $f_0$.
+ \textbf{The frequency attribute \texttt{FREQ} must no longer be used.}
+\item[BETRF]
+ \index{BETRF}
+ RF coupling factor (default: 0).
+\item[PG]
+ \index{PG}
+ The RF power per cavity (default: 0~mW).
+\item[SHUNT]
+ \index{SHUNT}
+ The relative shunt impedance (default: $0 M\Omega/\mathrm{m}$).
+\item[TFILL]
+ \index{TFILL}
+ The filling time of the cavity $T_\mathrm{fill}$
+ (default: $0 \mu\mathrm{s}$).
+\end{description}
+Use of a cavity requires the particle momentum \texttt{P}
+and the particle charge \texttt{CHARGE} to be set on the relevant
+optics command before any calculations is performed.
+
+\noindent Example:
+\begin{example}
+CAVITY:RFCAVITY, L=10.0, VOLT=150.0, LAG=0.0,
+ HARMON=31320;
+STATIC, P=50.0, PARTICLE=ELECTRON;
+\end{example}
+The reference system for a cavity is a
+Cartesian coordinate system \seefig{straight}.
+
+
+\section{Electrostatic Separators}
+\label{sec:separator}
+\index{ELSEPARATOR}
+\index{Separator}
+An \texttt{ELSEPARATOR} (electrostatic separator) has three real
+attributes:
+\begin{example}
+label:ELSEPARATOR, TYPE=string, APERTURE=real-vector,
+ L=real, EX=real, EY=real;
+\end{example}
+\begin{description}
+\item[L]
+ \index{L}
+ The length of the separator (default: 0~m).
+\item[EX]
+ \index{EX}
+ The horizontal electric field strength (default: 0~MV/m).
+ A positive field increases $p_x$ for positive particles.
+\item[EY]
+ \index{EY}
+ The vertical electric field strength (default: 0~MV/m).
+ A positive field increases $p_y$ for positive particles.
+\end{description}
+A \texttt{ELSEPARATOR} requires the particle momentum \texttt{P}
+and its charge \texttt{CHARGE} to be set in the relevant
+{BEAM} command \seechp{beam} before any calculations are performed.
+
+\noindent Example:
+\begin{example}
+BEAM, PARTICLE=POSITRON, PC=46.0;
+SEP:ELSEPARATOR, L=5.0, E=0.5;
+\end{example}
+The reference system for a separator is a
+Cartesian coordinate system \seefig{straight}.
+\subsection{\opalt mode}
+
+\subsection{\opalcycl mode}
+
+This is a restricted feature: \noopalt, \noopalcycl.
+
+\section{Beam Position Monitors}
+\label{sec:monitors}
+\index{MONITOR}
+\index{HMONITOR}
+\index{VMONITOR}
+A beam monitor acts on the beam like a drift space.
+In addition it records the beam position for closed orbit
+corrections.
+Four different types of beam position monitors are recognised:
+\begin{description}
+\item[HMONITOR]
+ \label{sec:hmonitor}
+ Monitor for the horizontal beam position,
+\item[VMONITOR]
+ \label{sec:vmonitor}
+ Monitor for the vertical beam position,
+\item[MONITOR]
+ \label{sec:monitor}
+ Monitor for both horizontal and vertical beam position.
+\item[INSTRUMENT]
+ \label{sec:instrument}
+ A place holder for any other type of beam instrumentation.
+ Optically it behaves like a drift space;
+ it returns \textbf{no beam observation}.
+ It represents a class of elements
+ which is completely independent from drifts and monitors.
+\end{description}
+\begin{example}
+label:HMONITOR, TYPE=string, APERTURE=real-vecto, L=real;
+label:VMONITOR, TYPE=string, APERTURE=real-vecto, L=real;
+label:MONITOR, TYPE=string, APERTURE=real-vecto, L=real;
+label:INSTRUMENT, TYPE=string, APERTURE=real-vector,
+ L=real;
+\end{example}
+A beam position monitor has one real attribute:
+\begin{description}
+\item[L]
+ \index{L}
+ The length of the monitor (default: 0~m).
+ If the length is different from zero,
+ the beam position is recorded in the centre of the monitor
+ (except for the \texttt{INSTRUMENT} element).
+\end{description}
+\noindent Examples:
+\begin{example}
+MH:HMONITOR, L=1;
+MV:VMONITOR;
+\end{example}
+The reference system for a monitor is a
+Cartesian coordinate system \seefig{straight}.
+
+\section{Coordinate Transformations}
+\label{sec:rotation}
+
+\subsection{Rotations About the Vertical Axis}
+\label{sec:yrot}
+\index{Rotation}
+\index{Coordinate!Change}
+\index{YROT}
+\begin{example}
+label:YROT, TYPE=string, APERTURE=real-vector,
+ ANGLE=real;
+\end{example}
+The element \texttt{YROT} rotates reference system
+about the vertical ($y$) axis \seefig{yrot}.
+\texttt{YROT} has no effect on the beam,
+but it causes the beam to be referred to the new coordinate system
+\[\begin{array}{lcl}
+ x_2&=&x_1\cos\theta-s_1\sin\theta, \\
+ y_2&=&x_1\sin\theta+s_1\cos\theta,
+\end{array}\]
+It has one real attribute:
+\begin{description}
+\item[ANGLE]
+ \index{ANGLE}
+ The rotation angle theta (default: 0 rad).
+ It must be a \textbf{small} angle,
+ i.e. an angle comparable to the transverse angles of the orbit.
+\end{description}
+A positive angle means that the new reference system is rotated
+clockwise about the local $y$-axis with respect to the old system.
+
+\noindent Example:
+\begin{example}
+KINK:YROT, ANGLE=0.0001;
+\end{example}
+
+\subsection{Rotations Around the Longitudinal Axis}
+\label{sec:srot}
+\index{Rotation}
+\index{Coordinate!Change}
+\index{SROT}
+\begin{example}
+label:SROT, TYPE=string, APERTURE=real-vector,
+ ANGLE=real;
+\end{example}
+The element \texttt{SROT} rotates the reference system
+about the longitudinal ($s$) axis \seefig{srot}.
+\texttt{SROT} has no effect on the beam,
+but it causes the beam to be referred to the new coordinate system
+\[\begin{array}{lcl}
+ x_2&=&x_1\cos\psi-y_1\sin\psi, \\
+ y_2&=&x_1\sin\psi+y_1\cos\psi,
+\end{array}\]
+It has one real attribute:
+\begin{description}
+\item[ANGLE]
+ \index{ANGLE}
+ The rotation angle psi (default: 0~rad)
+\end{description}
+A positive angle means that the new reference system is rotated clockwise
+about the $s$-axis with respect to the old system.
+
+\noindent Example:
+\begin{example}
+ROLL1:SROT, ANGLE=PI/2.;
+ROLL2:SROT, ANGLE=-PI/2.;
+HBEND:SBEND, L=6.0, ANGLE=0.01;
+VBEND:LINE=(ROLL1, HBEND, ROLL2);
+\end{example}
+The above is a way to represent a bend down in the vertical plane,
+it could be defined more simply by
+\begin{example}
+VBEND:SBEND, L=6.0, K0S=-0.01/6.0;
+\end{example}
+
+\subsection{General Change of Reference}
+\label{sec:patch}
+\index{Reference!Change}
+\index{Coordinate!Change}
+\index{PATCH}
+\begin{example}
+label:PATCH, TYPE=string, APERTURE=real-vector,
+ DX=real, DY=real, DZ=real, DTHETA=real,
+ DPHI=real, DPSI=real;
+\end{example}
+The element \texttt{PATCH} applies a general change to the reference system.
+\texttt{PATCH} has no effect on the beam,
+but it causes the beam to be referred to the new coordinate system.
+It has six real attributes:
+\begin{description}
+\item[DX]
+ \index{DX}
+ The displacement in $x$-direction of the new system with respect to the old
+ one.
+\item[DY]
+ \index{DY}
+ The displacement in $y$-direction of the new system with respect to the old
+ one.
+\item[DS]
+ \index{DS}
+ The displacement in $s$-direction of the new system with respect to the old
+ one.
+\item[VX]
+ \index{VX}
+ The rotation around the $x$-axis of the new system with respect to the old
+ one.
+\item[VY]
+ \index{VY}
+ The rotation around the $y$-axis of the new system with respect to the old
+ one.
+\item[VZ]
+ \index{VZ}
+ The rotation around the $s$-axis of the new system with respect to the old
+ one.
+\end{description}
+
+\noindent As an example consider a simplified model of the
+separation of the two beams \seefig{patch} near the interaction region of
+LHC:
+\begin{example}
+ALPHA=...; // The bend angle in the separator magnets.
+DISTANCE=...; // The longitudinal distance between
+ // the separator magnets.
+D1:HKICKER, L=0, KICK=ALPHA;
+D2:HKICKER, L=0, KICK=-ALPHA;
+DIST:DRIFT, L=DISTANCE;
+PATCH1:PATCH, DX=DISTANCE*TAN(ALPHA);
+PATCH2:PATCH, DX=-DISTANCE*TAN(ALPHA);
+SHARED SEPARATION:LINE=(D1, DIST, D2);
+RING1:SEQUENCE,...; // beam goes clockwise.
+...
+SEPARATION;
+PATCH1; // change reference to
+...
+ENDSEQUENCE;
+RING2:SEQUENCE,...; // beam goes anticlockwise.
+...
+SEPARATION;
+PATCH2;
+...
+ENDSEQUENCE;
+\end{example}
+The direction of travel of each beam determines the signs of the deflections,
+the patches change the reference.
+Note that the common reference between the two separator magnets allows a
+correct handling of long-distance beam-beam interactions in that area.
+\begin{figure}[ht]
+ \begin{center}
+ \begin{picture}(400,90)
+ \thinlines
+ \drawline(0,40)(100,40)
+ \drawline(100,40)(200,60)(300,60)
+ \put(240,65){\vector(1,0){20}}
+ \put(305,60){\makebox(0,0)[l]{reference beam 1}}
+ \dashline[30]{8}(100,40)(200,40)
+ \put(205,40){\makebox(0,0)[l]{common reference}}
+ \drawline(100,40)(200,20)(300,20)
+ \put(260,15){\vector(-1,0){20}}
+ \put(305,20){\makebox(0,0)[l]{reference beam 2}}
+
+ \drawline(100,10)(100,70)
+ \put(100,75){\makebox(0,0)[b]{\texttt{D1}}}
+ \drawline(200,10)(200,70)
+ \put(200,75){\makebox(0,0)[b]{\texttt{D2}+patches}}
+ \end{picture}
+ \caption{Separation of two beams}
+ \label{fig:patch}
+ \end{center}
+\end{figure}
+
+This is a restricted feature: \noopalt, \noopalcycl.
+
+\section{Editing Element Definitions}
+\label{sec:elm-edit}
+\index{Element!Editing}
+\index{Edit!Element}
+An element definition can be changed in two ways:
+\begin{description}
+\item[Entering a new definition]
+ The element definition will be replaced.
+ A beam element, {LINE} \seesec{line},
+ or {SEQUENCE} \seesec{sequence}
+ can be replaced by another beam element, beam line, or sequence;
+ if the replaced item occurs in another beam line or sequence,
+ all references in that line or sequence are replaced.
+\item[Entering the element name together with new attributes]
+ The element will be updated in place,
+ and the new attribute values will replace the old ones.
+ When the type of the element should not change,
+ replacement of an attribute is the more efficient way.
+\end{description}
+Element definitions can be changed freely.
+The changes do not affect already defined objects which belong to
+its class \seesec{elm-class}.
+This example shows two ways to change the strength of a quadrupole:
+\begin{example}
+QF:QUADRUPOLE, L=1, K1=0.01; // Original definition of QF
+QF:QUADRUPOLE, L=1, K1=0.02; // Replace whole definition
+ // of QF
+QF, K1=0.02; // Replace value of K1
+\end{example}
+\subsection{\opalt mode}
+
+\subsection{\opalcycl mode}
+
+This is a restricted feature: \noopalt, \noopalcycl.
+
+
+%
+%\section{Beam-Beam Interactions}
+%\label{sec:beambeam}
+%\index{BEAMBEAM}
+%\index{Interaction!Beam-Beam}
+%The command \texttt{BEAMBEAM} may be inserted in a beam line
+%to simulate a beam-beam interaction point:
+%\begin{example}
+%label:BEAMBEAM,TYPE=string,APERTURE=real-vector,
+% SIGX=real,SIGY=real,XMA=real,YMA=real,CHARGE=real;
+%\end{example}
+%The code for this element has been contributed by J.M. Veuillen (1987),
+%and has been adapted to C++ in 1997.
+%It has six real attributes:
+%\begin{description}
+%\item[SIGX]
+% \index{SIGX}
+% The horizontal extent (standard deviation) of the opposite beam
+% (default: 0~m).
+%\item[SIGY]
+% \index{SIGY}
+% The vertical extent (standard deviation) of the opposite beam
+% (default: 0~m).
+%\item[XMA]
+% \index{XMA}
+% The horizontal displacement of the opposite beam with respect to
+% the ideal orbit (default: 0~m).
+%\item[YMA]
+% \index{YMA}
+% The vertical displacement of the opposite beam with respect to
+% the ideal orbit (default: 0~m).
+%\item[CHARGE]
+% \index{CHARGE}
+% The charge of particles in the opposite beam in proton charges
+% (default: 0).
+%\item[NPART]
+% \index{NPART}
+% The number of particles in the opposite beam.
+% (default: 0).
+%\end{description}
+%A beam-beam element requires the particle momentum \texttt{P}
+%and its charge \texttt{CHARGE} to be defined on the relevant optics command
+%before any calculations are performed.
+
+%\noindent Example:
+%\begin{example}
+%BEAM,MOMENTUM=46.0,MASS=PMASS,CHARGE=1.0;
+%BB:BEAMBEAM,SIGX=1.E-3,SIGY=5.E-4,CHARGE=1.0,NPART=1.0E12;
+%\end{example}
+
+%A three-dimensional representation of a beam-beam interaction is
+%available with the command
+%\index{BEAMINT}
+%\index{Interaction!Beam-Beam}
+%\begin{example}
+%label:BEAMINT,TYPE=string,APERTURE=real-vector,
+% PHI=real,NSLI=integer,FAST=bool,XIYN=real,DX=real,DY=real,DZ=real,
+% BETXS=real,BETYS=real,ALFXS=real,ALFYS=real,
+% DXS=real,DPXS=real,DYS=real,DPYS=real,
+% EXS=real,EYS=real,SIGTS=real,SIGES=real;
+%\end{example}
+%Its parameters are:
+%\begin{description}
+%\item[PHI]
+% \index{PHI}
+% Horizontal crossing angle.
+%\item[NSLI]
+% \index{NSLI}
+% Number of slices to be taken in strong beam.
+%\item[FAST]
+% \index{FAST}
+% If true, use tables for computing the error function.
+%\item[XIYN]
+% \index{XIYN}
+% Beam-beam parameter.
+%\item[DX]
+% \index{DX}
+% Horizontal displacement of the interaction point in [m].
+%\item[DY]
+% \index{DY}
+% Vertical displacement of the interaction point in [m].
+%\item[DZ]
+% \index{DZ}
+% Longitudinal displacement of the interaction point in [m].
+%\end{description}
+%The following parameters describe the strong beam:
+%\begin{description}
+%\item[BETXS]
+% \index{BETXS}
+% Horizontal $\beta*$ in [m].
+%\item[BETYS]
+% \index{BETYS}
+% Vertical $\beta*$ in [m].
+%\item[ALFXS]
+% \index{ALFXS}
+% Horizontal $\alpha*$* in [1].
+%\item[ALFYS]
+% \index{ALFYS}
+% Vertical $\alpha*$ in [1].
+%\item[DXS]
+% \index{DXS}
+% Horizontal dispersion in [m].
+%\item[DPXS]
+% \index{DPXS}
+% Horizontal dispersion slope in [m].
+%\item[DYS]
+% \index{DYS}
+% Vertical dispersion in [m].
+%\item[DPYS]
+% \index{DPYS}
+% Vertical dispersion slope in [m].
+%\item[EXS]
+% \index{EXS}
+% Horizontal emittance in [m rad].
+%\item[EYS]
+% \index{EYS}
+% Vertical emittance in [m rad].
+%\item[SIGTS]
+% \index{SIGTS}
+% Bunch length in [m].
+%\item[SIGES]
+% \index{SIGES}
+% Energy spread in [1].
+%\end{description}
+
+
+
+\section{Tracking Example}
+\label{sec:trackxmpl}
+
+\begin{verbatim}
+L: LINE=(OCT,-OCT);
+// Misalignments and closed orbit correction may be done here.
+P0=60.0;
+B:BEAM, ENERGY=60.0;
+TRACK, LINE=L,BEAM=B;
+ START, X=0.001, Y=0.001, PT=0.001;
+ RUN, TURNS=1024;
+ENDTRACK;
+\end{verbatim}
+
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/opalt.tex b/doc/user_guide/opalt.tex
new file mode 100644
index 0000000000000000000000000000000000000000..26e18eb09eafee0375cf0061ebc2a6d327e77949
--- /dev/null
+++ b/doc/user_guide/opalt.tex
@@ -0,0 +1,489 @@
+\input{header}
+
+\chapter{\opalt}
+\label{chp:opalt}
+\index{OPAL-t}
+\index{PARALLEL-T}
+\section{Introduction}
+\opalt is a fully three-dimensional program to track in time, relativistic particles taking into account space charge forces, self-consistently in the electrostatic approximation, and short-range longitudinal and transverse wake fields. \opalt is one of the few
+codes that is implemented using a parallel programming paradigm from the ground up. This makes \opalt indispensable for
+high statistics simulations of various kinds of existing and new accelerators. It has a comprehensive set of beamline
+elements, and furthermore allows arbitrary overlap of their fields, which gives \opalt a capability
+to model both the standing wave structure and traveling wave structure. Beside IMPACT-T it is the only code making use of
+space charge solvers based on an integrated Green \cite{qiang2005, qiang2006-1,qiang2006-2} function to efficiently and accurately treat beams with
+large aspect ratio, and a shifted Green function to efficiently treat image charge effects of a cathode \cite{fubiani2006, qiang2005, qiang2006-1,qiang2006-2}.
+For simulations of particles sources i.e. electron guns \opalt uses the technique of energy binning in the electrostatic space charge calculation to model beams with large
+energy spread. In the very near future a parallel Multigrid solver taking into account the exact geometry will be implemented.
+
+\section{Variables in \opalt}
+\label{sec:variablesopalt}
+\index{OPAL-t!Variables}
+
+\label{sec:opalt:canon}
+\index{Canonical Variables}
+\index{Variables!Canonical}
+\opalt uses the following canonical variables
+to describe the motion of particles. The physical units are listed in square brackets.
+
+\begin{description}
+\item[X]
+ Horizontal position $x$ of a particle relative to the axis of the element [m].
+
+\item[PX]
+ $\beta_x\gamma$ Horizontal canonical momentum [1].
+
+\item[Y]
+ Horizontal position $y$ of a particle relative to the axis of the element [m].
+
+\item[PY]
+ $\beta_y\gamma$ Horizontal canonical momentum [1].
+
+\item[Z]
+ Longitudinal position $z$ of a particle in floor co-ordinates [m].
+
+\item[PZ]
+ $\beta_z\gamma$ Longitudinal canonical momentum [1].
+
+ \end{description}
+
+The independent variable is \textbf{t} [s].
+
+
+
+\section{Integration of the Equation of Motion}
+\opalt integrates the relativistic Lorentz equation
+\begin{equation} \diff{\gamma\vec{v}}{t}
+ = \frac{q}{m}[\vec{E}_{ext} + \vec{E}_{sc} + \vec{v} \times (\vec{B}_{ext} + \vec{B}_{sc})]
+\end{equation}
+where $\gamma$ is the relativistic factor, $q$ is the charge, and $m$ is the rest mass of the particle. $\vec{E}$ and $\vec{B}$ are abbreviations for the electric field $\vec{E}(\vec{x},t)$ and magnetic field $\vec{B}(\vec{x},t)$. To update the positions and momenta \opalt uses the Boris-Buneman algorithm \cite{langdon}.
+
+
+\section{Positioning of Elements}
+Since \opalversion{2.0} of \opal elements can be placed in space using 3D coordinates \keyword{X}, \keyword{Y}, \keyword{Z}, \keyword{THETA}, \keyword{PHI} and \keyword{PSI}, see \secref{Element:common}. The old notation using \keyword{ELEMEDGE} is still supported. \opalt then computes the position in 3D using \keyword{ELEMDGE}, \keyword{ANGLE} and \keyword{DESIGNENERGY}. It assumes that the trajectory consists of straight lines and segments of circles. Fringe fields are ignored. For cases where these simplifications aren't justifiable the user should use 3D positioning. For a simple switchover \opal writes a file \filename{\_3D.opal} where all elements are placed in 3D.
+
+Beamlines containing guns should be supplemented with the element \keyword[sec:source]{SOURCE}. This allows \opal to distinguish the cases and adjust the initial energy of the reference particle.
+
+Prior to \opalversion{2.0} elements needed only a defined length. The transverse extent was not defined for elements except when combined with 2D or 3D field maps. An aperture had to be designed to give elements a limited extent in transverse direction since elements now can be placed freely in three-dimensional space. See \secref{Element:common} for how to define an aperture.
+\section{Coordinate Systems}
+\label{sec:CoordinateSystems}
+The motion of a charged particle in an accelerator can be described by relativistic Hamilton mechanics.
+A particular motion is that of the reference particle, having the central energy and traveling on the
+so-called reference trajectory. Motion of a particle close to this fictitious reference particle
+can be described by linearized equations for the displacement of the particle under study, relative to the
+reference particle. In \opalt, the time $t$ is used as independent variable instead of the path length $s$. The relation between them can be expressed as
+\begin{equation}
+\frac{\differential{}}{\differential{} t} = \frac{\differential{}}{\differential{}\vec{s}}\frac{\differential{}\vec{s}}{\differential{} t} = \vec{\beta}c\frac{\differential{}}{\differential{}\vec{s}}.
+\end{equation}
+\subsubsection{Global Cartesian Coordinate System}
+We define the global cartesian coordinate system, also known as floor coordinate system with $K$, a point in this coordinate system is denoted by $(X, Y, Z) \in K$.
+In \figref{KS1} of the accelerator is uniquely defined by the sequence of physical elements in $K$.
+The beam elements are numbered $e_0, \ldots , e_i, \ldots e_n$.
+\begin{figure}[!htb]
+\begin{center}
+\begin{tikzpicture}
+\draw[<->] (0,1cm) |- (1cm, 0);
+\node[anchor=north west] at (1cm,0) {z};
+\node[anchor=south east] at (0,1cm) {x};
+\node at (0.5cm, 1cm) {$K$};
+\draw[color=blue!80!black,thick] (0.5cm,0.5cm) -- (1.2cm,0.5cm) arc (270:315:1.5cm) -- ++(45:1.5cm) arc (135:90:2cm) --++(0:1cm);
+\begin{scope}[cm={0.9239,0.3827,-0.3827,0.9239,(1.2cm,0.5cm)}]
+ \draw (0,-0.3cm) rectangle (1.148cm,0.3cm);
+ \draw[<->] (0.5cm,0)-|(0,0.5cm);
+ \node at (0.5cm, 0.5cm) {$e_i$};
+\end{scope}
+\begin{scope}[cm={0.7071,0.7071,-0.7071,0.7071,(2.6142,1.2929)}]
+ \draw (0,-0.3cm) rectangle (0.6cm,0.3cm);
+ \draw[<->] (0.5cm,0)-|(0,0.5cm);
+ \node at (0.5cm, 0.5cm) {$e_j$};
+\end{scope}
+\begin{scope}[cm={0.9239,0.3827,-0.3827,0.9239,(3.3213cm,2cm)}]
+ \draw (0,-0.3cm) rectangle (1.5307cm,0.3cm);
+ \draw[<->] (0.5cm,0)-|(0,0.5cm);
+ \node at (0.5cm, 0.5cm) {$e_k$};
+\end{scope}
+\path[cm={2.849,0,0,2.849,(-8.4571,25.7235)},draw=yellow!80!red,line width=0.800pt]
+ (3.144,-8.835) .. controls
+ (3.144,-8.833) and (3.286,-8.872) .. (3.398,-8.888) .. controls
+ (3.511,-8.905) and (3.705,-8.782) .. (3.755,-8.717) .. controls
+ (3.801,-8.659) and (3.820,-8.626) .. (3.867,-8.553) .. controls
+ (3.896,-8.509) and (3.955,-8.436) .. (3.999,-8.396) .. controls
+ (4.044,-8.357) and (4.066,-8.343) .. (4.127,-8.301) .. controls
+ (4.190,-8.260) and (4.427,-8.100) .. (4.615,-8.086) .. controls
+ (4.689,-8.081) and (4.906,-8.072) .. (4.983,-8.070);
+\end{tikzpicture}
+ \caption{Illustration of local and global coordinates.}
+ \label{fig:KS1}
+\end{center}
+\end{figure}
+
+\subsubsection{Local Cartesian Coordinate System}
+A local coordinate system $K'_i$ is attached to each element $e_i$. This is simply a frame in which $(0,0,0)$ is at the entrance of each element. For an illustration see \figref{KS1}. The local reference system $(x, y, z) \in K'_n$
+may thus be referred to a global Cartesian coordinate system $(X, Y, Z) \in K$.
+
+The local coordinates $(x_i, y_i, z_i)$ at element $e_i$ with respect to the global cordinates $(X, Y, Z)$ are defined by three displacements $(X_i, Y_i, Z_i)$ and three angles $(\Theta_i, \Phi_i, \Psi_i)$.
+
+$\Psi$ is the roll angle about the global $Z$-axis. $\Phi$ is the pitch angle about the global $Y$-axis. Lastly, $\Theta$ is the yaw angle about the global $X$-axis. All three angles form right-handed screws with their corresponding axes. The angles ($\Theta,\Phi,\Psi$) are the Tait-Bryan angles \cite{bib:tait-bryan}.
+
+The displacement is described by a vector $\vec{v}$
+and the orientation by a unitary matrix $\matr{W}$.
+The column vectors of $\matr{W}$ are unit vectors spanning
+the local coordinate axes in the order $(x, y, z)$.
+$\vec{v}$ and $\matr{W}$ have the values:
+\begin{equation}
+\vec{v} =\left(\begin{array}{c}
+ X \\
+ Y \\
+ Z
+ \end{array}\right),
+\qquad
+\matr{W}=\matr{S}\matr{T}\matr{U}
+\end{equation}
+where
+\begin{equation}
+\matr{S}=\left(\begin{array}{ccc}
+ \cos\Theta & 0 & \sin\Theta \\
+ 0 & 1 & 0 \\
+ -\sin\Theta & 0 & \cos\Theta
+ \end{array}\right),
+\quad
+\matr{T}=\left(\begin{array}{ccc}
+ 1 & 0 & 0 \\
+ 0 & \cos\Phi & \sin\Phi \\
+ 0 & -\sin\Phi & \cos\Phi
+ \end{array}\right),
+\end{equation}
+\begin{equation}
+\matr{U}=\left(\begin{array}{ccc}
+ \cos\Psi & -\sin\Psi & 0 \\
+ \sin\Psi & \cos\Psi & 0 \\
+ 0 & 0 & 1
+ \end{array}\right).
+\end{equation}
+
+
+We take the vector $\vec{r}_i$ to be the displacement and the matrix
+$\matr{S}_i$ to be the rotation of the local reference system
+at the exit of the element $i$ with respect to the entrance
+of that element.
+
+Denoting with $i$ a beam line element,
+one can compute $\vec{v}_i$ and $\matr{W}_i$
+by the recurrence relations
+\begin{equation} \label{eq:surv}
+\vec{v}_i = \matr{W}_{i-1}\vec{r}_i + \vec{v}_{i-1}, \qquad
+\matr{W}_i = \matr{W}_{i-1}\matr{S}_i,
+\end{equation}
+where $\vec{v}_0$ corresponds to the origin of the \keyword{LINE} and $\matr{W}_0$ to its orientation. In \opalt they can be defined using either \keyword{X}, \keyword{Y}, \keyword{Z}, \keyword{THETA}, \keyword{PHI} and \keyword{PSI} or \keyword{ORIGIN} and \keyword{ORIENTATION}, see \secref{line:simple}.
+
+\subsubsection{Space Charge Coordinate System}
+In order to calculate space charge in the electrostatic approximation, we introduce a co-moving coordinate system $K_{\text{sc}}$, in which the origin coincides with the mean position of the particles and the mean momentum is parallel to the z-axis.
+
+
+\subsubsection{Curvilinear Coordinate System}
+In order to compute statistics of the particle ensemble, $K_s$ is introduced.
+The accompanying tripod (Dreibein) of the reference orbit spans
+a local curvilinear right handed system $(x,y,s)$.
+The local $s$-axis is the tangent to the reference orbit.
+The two other axes are perpendicular to the reference orbit and
+are labelled~$x$ (in the bend plane)
+and~$y$ (perpendicular to the bend plane).
+\begin{figure}[!htb]
+\begin{center}
+\begin{tikzpicture}
+\draw[<->] (0,1cm) |- (1cm, 0);
+\node[anchor=north west] at (1cm,0) {z};
+\node[anchor=south east] at (0,1cm) {x};
+\begin{scope}[cm={5,0,0,5,(-13.6,-7)}]
+\begin{scope}
+\clip (2.82,1.5) rectangle (3.82,2.5);
+\draw[color=blue!80!black,thick] (0.5cm,0.5cm) -- (1.2cm,0.5cm) arc (270:315:1.5cm) -- ++(45:1.5cm) arc (135:90:2cm) --++(0:1cm);
+\begin{scope}[cm={0.9239,0.3827,-0.3827,0.9239,(1.2cm,0.5cm)}]
+ \draw (0,-0.3cm) rectangle (1.148cm,0.3cm);
+% \draw[<->] (0.5cm,0)-|(0,0.5cm);
+ \node at (0.5cm, 0.5cm) {$e_i$};
+\end{scope}
+\begin{scope}[cm={0.7071,0.7071,-0.7071,0.7071,(2.6142,1.2929)}]
+ \draw (0,-0.3cm) rectangle (0.6cm,0.3cm);
+% \draw[<->] (0.5cm,0)-|(0,0.5cm);
+ \node at (0.5cm, 0.5cm) {$e_j$};
+\end{scope}
+\begin{scope}[cm={0.9239,0.3827,-0.3827,0.9239,(3.3213cm,2cm)}]
+ \draw (0,-0.3cm) rectangle (1.5307cm,0.3cm);
+ \draw[<->,thick] (0.3cm,0)-|(0,0.3cm);
+ \node at (0.15cm, 0.25cm) {$K\primed_k$};
+\end{scope}
+\path[cm={2.849,0,0,2.849,(-8.4571,25.7235)},draw=yellow!80!red,line width=0.800pt]
+ (3.144,-8.835) .. controls
+ (3.144,-8.833) and (3.286,-8.872) .. (3.398,-8.888) .. controls
+ (3.511,-8.905) and (3.705,-8.782) .. (3.755,-8.717) .. controls
+ (3.801,-8.659) and (3.820,-8.626) .. (3.867,-8.553) .. controls
+ (3.896,-8.509) and (3.955,-8.436) .. (3.999,-8.396) .. controls
+ (4.044,-8.357) and (4.066,-8.343) .. (4.127,-8.301) .. controls
+ (4.190,-8.260) and (4.427,-8.100) .. (4.615,-8.086) .. controls
+ (4.689,-8.081) and (4.906,-8.072) .. (4.983,-8.070);
+\end{scope}
+\begin{scope}[cm={0.7071,0.7071,-0.7071,0.7071,(3.109,1.788)}]
+\draw[<->,blue!80!black,thick] (0.3,0.0) -| (0.0,0.3);
+\node[blue!80!black] at (0.15cm, 0.3cm) {$K_s$};
+\end{scope}
+\begin{scope}[cm={0.788,0.616,-0.616,0.788,(3.109,1.788)}]
+\draw[<->,yellow!80!black,thick] (0.3,0.121) -| (0.0,0.421);
+\node[yellow!80!black] at (0.15cm, 0.421cm) {\textbf{$K_{\text{sc}}$}};
+\end{scope}
+\end{scope}
+\end{tikzpicture}
+ \caption{Illustration of $K_\text{sc}$ and $K_s$}
+ \label{fig:KS2}
+\end{center}
+\end{figure}
+Both coordinate systems are described in \figref{KS2}.
+
+\subsection{Design or Reference Orbit}
+The reference orbit consists of a series of straight sections and circular arcs and is {\bf computed} by the Orbit Threader i.e. deduced from the element placement in the floor coordinate system.
+
+\subsection{Compatibility Mode}
+To facilitate the change for users we will provide a compatibility mode. The idea is that the user does not have to change the input file. Instead \opalt will compute the positions of the elements. For this it uses the bend angle and chord length of the dipoles and the position of the elements along the trajectory. The user can choose whether effects due to fringe fields are considered when computing the path length of dipoles or not. The option to toggle \opalt's behavior is called \keyword{IDEALIZED}. \opalt assumes per default that provided \keyword{ELEMEDGE} for elements downstream of a dipole are computed without any effects due to fringe fields.
+
+Elements that overlap with the fields of a dipole have to be handled separately by the user to position them in 3D.
+
+We split the positioning of the elements into two steps. In a first step we compute the positions of the dipoles. Here we assume that their fields don't overlap. In a second step we can then compute the positions and orientations of all other elements.
+
+The accuracy of this method is good for all elements except for those that overlap with the field of a dipole.
+
+\subsection{Orbit Threader and Autophasing}
+\label{sec:orbitthreader}
+The \texttt{OrbitThreader} integrates a design particle through the lattice and setups up a multi map structure (\texttt{IndexMap}). Furthermore when the reference particle hits an rf-structure for the first time then it auto-phases the rf-structure, see \appref{autophasing}. The multi map structure speeds up the search for elements that influence the particles at a given position in 3D space by minimizing the looping over elements when integrating an ensemble of particles. For each time step, \texttt{IndexMap} returns a set of elements $\mathcal{S}_{\text{e}} \subset {e_0 \ldots e_n}$ in case of the example given in \figref{KS1}. An implicit drift is modelled as an empty set $\emptyset$.
+
+\subsection{Flow Diagram of \opalt}
+\input{figures/opalt/flowdiagram}
+A regular time step in \opalt is sketched in \figref{OPALTSchemeSimple}. In order to compute the coordinate system transformation from the reference coordinate system $K_s$ to the local coordinatesystems $K'_n$ we join the transformation from floor coordinate system $K$ to $K'_n$ to the transformation from $K_s$ to $K$. All computations of rotations which are involved in the computation of coordinate system transformations are performed using quaternions. The resulting quaternions are then converted to the appropriate matrix representation before applying the rotation operation onto the particle positions and momenta.
+
+As can seen from \figref{OPALTSchemeSimple} the integration of the trajectories of the particles are integrated and the computionation of the statistics of the six-dimensional phase space are performed in the reference coordinate system.
+
+\section{Output}
+In addition to the progress report that \opalt writes to the standard output (stdout) it also writes different files for various purposes.
+\subsubsection*{\filename{\textless input\_file\_name \textgreater.stat}}
+This file is used to log the statistical properties of the bunch in the ASCII variant of the SDDS format \cite{bib:borland1995}. It can be viewed with the SDDS Tools \cite{bib:borland2016} or GNUPLOT. The frequency with which the statistics are computed and written to file can be controlled With the option \keyword{STATDUMPFREQ}. The information that is stored are found in the following table.
+\begin{center}
+\begin{longtable}{p{1.5cm}p{1.7cm}p{1.3cm}p{9.5cm}}
+\caption{Information stored in the file \filename{\textless input\_file\_name \textgreater.stat}}\\
+\hline
+\tabhead{Column Nr. & Name & Units & Meaning}
+\hline
+\endfirsthead
+\hline
+\multicolumn{4}{c}{{\bfseries \tablename\ \thetable{} -- continued}}\\
+\tabhead{Column Nr. & Name & Units & Meaning}
+\hline
+\endhead
+%\hline
+\multicolumn{4}{r}{{Continued on next page...}}\\
+\hline
+\endfoot
+\hline
+\endlastfoot
+1 & t & \si{\nano\second} & Time\\
+2 & s & \si{\meter} & Path length\\
+3 & numParticles & 1 & Number of macro particles\\
+4 & charge & \si{\coulomb} & Charge of bunch\\
+5 & energy & \si{\mega\electronvolt} & Mean energy of bunch\\
+6 & rms\_x & \si{\meter} & Standard deviation of x-component of particles positions\\
+7 & rms\_y & \si{\meter} & Standard deviation of y-component of particles positions\\
+8 & rms\_s & \si{\meter} & Standard deviation of s-component of particles positions\\
+9 & rms\_px & 1 & Standard deviation of x-component of particles normalized momenta\\
+10 & rms\_py & 1 & Standard deviation of y-component of particles normalized momenta\\
+11 & rms\_ps & 1 & Standard deviation of s-component of particles normalized momenta\\
+12 & emit\_x & \si{\meter\radian} & X-component of normalized emittance\\
+13 & emit\_y & \si{\meter\radian} & Y-component of normalized emittance\\
+14 & emit\_s & \si{\meter\radian} & S-component of normalized emittance\\
+15 & mean\_x & \si{\meter} & X-component of mean position relative to reference particle\\
+16 & mean\_y & \si{\meter} & Y-component of mean position relative to reference particle\\
+17 & mean\_s & \si{\meter} & S-component of mean position relative to reference particle\\
+18 & ref\_x & \si{\meter} & X-component of reference particle in floor coordinate system\\
+19 & ref\_y & \si{\meter} & Y-component of reference particle in floor coordinate system\\
+20 & ref\_z & \si{\meter} & Z-component of reference particle in floor coordinate system\\
+21 & ref\_px & 1 & X-component of normalized momentum of reference particle in floor coordinate system\\
+22 & ref\_py & 1 & Y-component of normalized momentum of reference particle in floor coordinate system\\
+23 & ref\_pz & 1 & Z-component of normalized momentum of reference particle in floor coordinate system\\
+24 & max\_x & \si{\meter} & Max beamsize in x-direction\\
+25 & max\_y & \si{\meter} & Max beamsize in y-direction\\
+26 & max\_s & \si{\meter} & Max beamsize in s-direction\\
+27 & xpx & 1 & Correlation between x-components of positions and momenta\\
+28 & ypy & 1 & Correlation between y-components of positions and momenta\\
+29 & zpz & 1 & Correlation between s-components of positions and momenta\\
+30 & Dx & \si{\meter} & Dispersion in x-direction\\
+31 & DDx & 1 & Derivative of dispersion in x-direction\\
+32 & Dy & \si{\meter} & Dispersion in y-direction\\
+33 & DDy & 1 & Derivative of dispersion in y-direction\\
+34 & Bx\_ref & \si{\tesla} & X-component of magnetic field at reference particle\\
+35 & By\_ref & \si{\tesla} & Y-component of magnetic field at reference particle\\
+36 & Bz\_ref & \si{\tesla} & Z-component of magnetic field at reference particle\\
+37 & Ex\_ref & \si{\mega\volt\per\meter} & X-component of electric field at reference particle\\
+38 & Ey\_ref & \si{\mega\volt\per\meter} & Y-component of electric field at reference particle\\
+39 & Ez\_ref & \si{\mega\volt\per\meter} & Z-component of electric field at reference particle\\
+40 & dE & \si{\mega\electronvolt} & Energy spread of the bunch\\
+41 & dt & \si{\nano\second} & Size of time step\\
+42 & partsOutside & 1 & Number of particles outsid $n \times \sigma$ of beam, where $n$ is controlled with \keyword[sec:option]{BEAMHALOBOUNDARY}\\
+43 & R0\_x & \si{\meter} & X-component of position of particle with ID 0 (only when run serial)\\
+44 & R0\_y & \si{\meter} & Y-component of position of particle with ID 0 (only when run serial)\\
+45 & R0\_s & \si{\meter} & S-component of position of particle with ID 0 (only when run serial)\\
+46 & P0\_x & \si{\meter} & X-component of momentum of particle with ID 0 (only when run serial)\\
+47 & P0\_y & \si{\meter} & Y-component of momentum of particle with ID 0 (only when run serial)\\
+48 & P0\_s & \si{\meter} & S-component of momentum of particle with ID 0 (only when run serial)\\
+\end{longtable}
+\end{center}
+
+\subsubsection*{\filename{\textless input\_file\_name \textgreater\_Monitors.sdds}}
+\opalt computes the statistics of the bunch for every \keyword{MONITOR} that it passes. The information that is written can be found in the following table.
+\begin{center}
+\begin{longtable}{p{1.5cm}p{1.7cm}p{1.3cm}p{9.5cm}}
+\caption{Information stored in the file \filename{\textless input\_file\_name \textgreater\_Monitors.stat}}\\
+\hline
+\tabhead{Column Nr. & Name & Units & Meaning}
+\hline
+\endfirsthead
+\hline
+\multicolumn{4}{c}{{\bfseries \tablename\ \thetable{} -- continued}}\\
+\tabhead{Column Nr. & Name & Units & Meaning}
+\hline
+\endhead
+%\hline
+\multicolumn{4}{r}{{Continued on next page...}}\\
+\hline
+\endfoot
+\hline
+\endlastfoot
+1 & name & a string & Name of the monitor\\
+2 & s & \si{\meter} & Position of the monitor in path length\\
+3 & t & \si{\nano\second} & Time at which the reference particle pass\\
+4 & numParticles & 1 & Number of macro particles\\
+5 & rms\_x & \si{\meter} & Standard deviation of the x-component of the particles positions \\
+6 & rms\_y & \si{\meter} & Standard deviation of the y-component of the particles positions \\
+7 & rms\_s & \si{\meter} & Standard deviation of the s-component of the particles positions (only nonvanishing when type of \keyword[sec:monitor]{MONITOR} is \keyword{TEMPORAL})\\
+8 & rms\_t & \si{\nano\second} & Standard deviation of the passage time of the particles (zero if type is of \keyword[sec:monitor]{MONITOR} is \keyword{TEMPORAL}\\
+9 & rms\_px & 1 & Standard deviation of the x-component of the particles momenta \\
+10 & rms\_py & 1 & Standard deviation of the y-component of the particles momenta \\
+11 & rms\_ps & 1 & Standard deviation of the s-component of the particles momenta \\
+12 & emit\_x & \si{\meter\radian} & X-component of the normalized emittance\\
+13 & emit\_y & \si{\meter\radian} & Y-component of the normalized emittance\\
+14 & emit\_s & \si{\meter\radian} & S-component of the normalized emittance\\
+15 & mean\_x & \si{\meter} & X-component of mean position relative to reference particle\\
+16 & mean\_y & \si{\meter} & Y-component of mean position relative to reference particle\\
+17 & mean\_s & \si{\meter} & S-component of mean position relative to reference particle\\
+18 & mean\_t & \si{\nano\second} & Mean time at which the particles pass\\
+19 & ref\_x & \si{\meter} & X-component of reference particle in floor coordinate system\\
+20 & ref\_y & \si{\meter} & Y-component of reference particle in floor coordinate system\\
+21 & ref\_z & \si{\meter} & Z-component of reference particle in floor coordinate system\\
+22 & ref\_px & 1 & X-component of normalized momentum of reference particle in floor coordinate system\\
+23 & ref\_py & 1 & Y-component of normalized momentum of reference particle in floor coordinate system\\
+24 & ref\_pz & 1 & Z-component of normalized momentum of reference particle in floor coordinate system\\
+25 & max\_x & \si{\meter} & Max beamsize in x-direction\\
+26 & max\_y & \si{\meter} & Max beamsize in y-direction\\
+27 & max\_s & \si{\meter} & Max beamsize in s-direction\\
+28 & xpx & 1 & Correlation between x-components of positions and momenta\\
+29 & ypy & 1 & Correlation between y-components of positions and momenta\\
+40 & zpz & 1 & Correlation between s-components of positions and momenta\\
+\end{longtable}
+\end{center}
+
+\subsubsection*{\filename{\textless input\_file\_name \textgreater\_3D.opal}}
+\opalt copies the input file into this file and replaces all occurances of \keyword{ELEMEDGE} with the corresponding position using \keyword{X}, \keyword{Y}, \keyword{Z}, \keyword{THETA}, \keyword{PHI} and \keyword{PSI}.
+
+\subsubsection*{\filename{\textless input\_file\_name \textgreater\_ElementPositions.txt}}
+\opalt stores for every element the position of the entrance and the exit. Additionally the reference trajectory inside dipoles is stored. On the first column the name of the element is written prefixed with ``BEGIN: '', ``END: '' and ``MID: '' respectively. The remaining columns store the z-component then the x-component and finally the y-component of the position in floor coordinates.
+
+\subsubsection*{\filename{\textless input\_file\_name \textgreater\_ElementPositions.py}}
+This Python script can be used to generate visualizations of the beam line in different formats. Beside an ASCII file that can be printed using GNUPLOT a VTK file and an HTML file can be generated. The VTK file can then be opened in e.g. ParaView \cite{paraview,bib:paraview} or VisIt \cite{bib:visit}. The HTML file can be opened in any modern web browser. Both the VTK and the HTML output are three-dimensional. For the ASCII format on the other hand you have provide the normal of a plane onto which the beam line is projected.
+
+The script is not directly executable. Instead one has to pass it as argument to \texttt{python}:
+\begin{example}
+python myinput_ElementPositions.py --export-web
+\end{example}
+
+The following arguments can be passed
+\begin{itemize}
+\item \texttt{-h} or \texttt{-{}-help} for a short help
+\item \texttt{-{}-export-vtk} to export to the VTK format
+\item \texttt{-{}-export-web} to export for the web
+\item \texttt{-{}-project-to-plane x y z} to project the beam line to the plane with the normal with the components \texttt{x}, \texttt{y} and \texttt{z}
+\end{itemize}
+\subsubsection*{\filename{\textless input\_file\_name \textgreater\_ElementPositions.stat}}
+This file can be used when plotting the statistics of the bunch to indicate the positions of the magnets. It is written in the SDDS format. The information that is written can be found in the following table.
+\begin{center}
+\begin{longtable}{p{1.5cm}p{2cm}p{1.3cm}p{9.2cm}}
+\caption{Information stored in the file \filename{\textless input\_file\_name \textgreater\_ElementPositions.stat}}\\
+\hline
+\tabhead{Column Nr. & Name & Units & Meaning}
+\hline
+\endfirsthead
+\hline
+\multicolumn{4}{c}{{\bfseries \tablename\ \thetable{} -- continued}}\\
+\tabhead{Column Nr. & Name & Units & Meaning}
+\hline
+\endhead
+%\hline
+\multicolumn{4}{r}{{Continued on next page...}}\\
+\hline
+\endfoot
+\hline
+\endlastfoot
+1 & s & \si{\meter} & The position in path length\\
+2 & dipole & \nicefrac{1}{3} & Whether the field of a dipole is present\\
+3 & quadrupole & 1 & Whether the field of a quadrupole is present\\
+4 & sextupole & \nicefrac{1}{2} & Whether the field of a sextupole is present\\
+5 & octapole & \nicefrac{1}{4} & Whether the field of a octapole is present\\
+6 & decapole & 1 & Whether the field of a decapole is present\\
+7 & multipole & 1 & Whether the field of a general multipole is present\\
+8 & solenoid & 1 & Whether the field of a solenoid is present\\
+9 & rfcavity & $\pm$1 & Whether the field of a cavity is present\\
+10 & monitor & 1 & Whether a monitor is present\\
+11 & element\_names & a string & The names of the elements that are present\\
+\end{longtable}
+\end{center}
+
+\subsubsection*{\filename{\textless input\_file\_name \textgreater\_DesignPath.dat}}
+The trajectory of the reference particle is stored in this ASCII file. The content of the columns are listed in the following table.
+
+\begin{center}
+\begin{longtable}{p{1.5cm}p{1.3cm}p{11.2cm}}
+\caption{Information stored in the file \filename{\textless input\_file\_name \textgreater\_DesignPath.dat}}\\
+\hline
+\tabhead{Column Nr. & Units & Meaning}
+\hline
+\endfirsthead
+\hline
+\multicolumn{3}{c}{{\bfseries \tablename\ \thetable{} -- continued}}\\
+\tabhead{Column Nr. & Units & Meaning}
+\hline
+\endhead
+%\hline
+\multicolumn{3}{r}{{Continued on next page...}}\\
+\hline
+\endfoot
+\hline
+\endlastfoot
+1 & \si{\meter} & Position in path length\\
+2 & \si{\meter} & X-component of position in floor coordinates\\
+3 & \si{\meter} & Y-component of position in floor coordinates\\
+4 & \si{\meter} & Z-component of position in floor coordinates\\
+5 & 1 & X-component of momentum in floor coordinates\\
+6 & 1 & Y-component of momentum in floor coordinates\\
+7 & 1 & Z-component of momentum in floor coordinates\\
+8 & \si{\mega\volt\per\meter} & X-component of electric field at position\\
+9 & \si{\mega\volt\per\meter} & Y-component of electric field at position\\
+10 & \si{\mega\volt\per\meter} & Z-component of electric field at position\\
+11 & \si{\tesla} & X-component of magnetic field at position\\
+12 & \si{\tesla} & Y-component of magnetic field at position\\
+13 & \si{\tesla} & Z-component of magnetic field at position\\
+14 & \si{\mega\electronvolt} & Kinetic energy\\
+15 & \si{\second} & Time\\
+\end{longtable}
+\end{center}
+
+\section{Multiple Species}
+In the present version only one particle species can be defined \seechp{beam}, however
+due to the underlying general structure, the implementation of a true multi species version of \opal should be simple to accomplish.
+
+
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/packages.tex b/doc/user_guide/packages.tex
new file mode 100644
index 0000000000000000000000000000000000000000..1a4605f0ab69a563c471229766a7d8be4c4ac928
--- /dev/null
+++ b/doc/user_guide/packages.tex
@@ -0,0 +1,108 @@
+\usepackage[T1]{fontenc}
+\usepackage{url}
+\usepackage{html}
+\usepackage{epic}
+\usepackage{eepic}
+\usepackage{makeidx}
+\usepackage{array}
+\usepackage{times}
+\usepackage{amsmath}
+\usepackage{amsxtra}
+\usepackage{bm}
+\usepackage[thin,thinp,thinc]{esdiff}
+\usepackage{graphicx}
+\usepackage{dingbat}
+\usepackage{color}
+\usepackage{subfig}
+\usepackage{boxedminipage}
+\usepackage{alltt}
+\usepackage{nicefrac}
+\usepackage{calc}
+%\usepackage{pdfdraftcopy} % Draft
+\usepackage{tikz}
+\usetikzlibrary{
+ er,3d,calc,fadings,trees,positioning,arrows,chains,decorations.pathreplacing,
+ decorations.pathmorphing,shapes,shapes.symbols,shapes.arrows,matrix,through,decorations.text
+}
+
+\tikzset{
+ >=stealth',
+ punktchain/.style={rectangle,rounded corners, draw=black, very thick,text width=10em,
+ minimum height=3em, text centered, on chain},
+ line/.style={draw, thick, <-},
+ element/.style={tape,top color=white,bottom color=blue!50!black!60!,minimum width=8em,
+ draw=blue!40!black!90, very thick,text width=10em, minimum height=3.5em,
+ text centered, on chain},
+ every join/.style={->, thick,shorten >=1pt},
+ tuborg/.style={decorate},
+ tubnode/.style={midway, right=2pt}
+}
+
+\tikzstyle{material}=[draw, fill=blue!20, text width=16.0em, text centered, minimum height=1.5em]
+\tikzstyle{diagramstep} = [material, text width=20em, minimum width=10em, minimum height=3em, rounded corners]
+\tikzstyle{line} = [draw, thick, color=black!50, -latex']
+
+\usepackage{booktabs}
+\usepackage{xspace}
+\usepackage{xstring}
+
+\usepackage{fancyvrb}
+\usepackage{rotating}
+\usepackage{float}
+
+\usepackage{tabularx}
+\usepackage{longtable}
+\setcounter{LTchunksize}{3}
+
+\usepackage[section]{placeins}
+\usepackage{MnSymbol}
+\usepackage{microtype}
+\usepackage{setspace}
+\usepackage{dcolumn}
+
+\usepackage[vmargin={3.0cm,3.0cm},
+ hmargin={2.0cm,3.0cm}]{geometry}
+
+\usepackage{upgreek}
+\usepackage[binary-units=true]{siunitx}
+\sisetup{exponent-product = \cdot,math-ohm=\Upomega,text-ohm=\ensuremath{\Upomega}}
+\DeclareSIUnit{\clight}{c}
+\DeclareSIUnit\gauss{Ga}
+
+\usepackage{engord}
+\usepackage{wasysym}
+\DeclareSIUnit[number-unit-product = \,]{\permill}{\permil}
+
+\usepackage{hyperref}
+\hypersetup{
+ pdftitle = The OPAL Framework,
+ pdfauthor = {Andreas Adelmann, Achim Gsell, Valeria Rizzoglio, Christof Metzger-Kraus,
+ Yves Ineichen, Xiaoying Pang, Steve Russell, Chuan Wang, Jianjun Yang,
+ Suzanne Sheehy, Chris Rogers, Daniel Winklehner},
+ pdfsubject = User's Reference Manual,
+ pdffitwindow = true, % page fit to window when opened
+ pdfnewwindow = true, % links in new window
+ colorlinks = true, % false: boxed links; true: colored links
+ linkcolor = black!80!green, % color of internal links
+ citecolor = black!20!red, % color of links to bibliography
+ urlcolor = blue, % color of external links
+ breaklinks = true,
+ bookmarksnumbered = true,
+ plainpages = false
+}
+
+\usepackage{ifthen}
+
+\newif \iflinuxwindows
+\linuxwindowstrue % set this to true when building the manual on Linux or Windows
+\iflinuxwindows
+\usepackage{epstopdf}
+\fi
+
+\usepackage[backend=biber,
+ style=phys,
+ biblabel=brackets,
+ maxnames=3,
+ doi=true,
+ isbn=true,
+ url=true]{biblatex}
\ No newline at end of file
diff --git a/doc/user_guide/partmatter.tex b/doc/user_guide/partmatter.tex
new file mode 100644
index 0000000000000000000000000000000000000000..6c9a988b3c54f63c3c14509703ef02aa5463d7d3
--- /dev/null
+++ b/doc/user_guide/partmatter.tex
@@ -0,0 +1,213 @@
+\input{header}
+
+\chapter{Physics Models Used in the Particle Matter Interaction Model}
+\label{chp:partmatt}
+\index{Particle Matter Interaction}
+
+\section{The Energy Loss}
+
+The energy loss is simulated using the Bethe-Bloch equation.
+
+\begin{equation}
+\label{eq:dEdx}
+-\diff{E}{x}=\frac{K z^2 Z}{A \beta^2}\left[\frac{1}{2} \ln{\frac{2 m_e c^2\beta^2 \gamma^2 Tmax}{I^2}}-\beta^2 \right],
+\end{equation}
+where $Z$ is the atomic number of absorber, $A$ is the atomic mass of absorber, $m_e$ is the electron mass, $z$ is the charge number of the incident particle, $K=4\pi N_Ar_e^2m_ec^2$, $r_e$ is the classical electron radius, $N_A$ is the Avogadro's number, $I$ is the mean excitation energy. $\beta$ and $\gamma$ are kinematic variables. $T_{max}$ is the maximum kinetic energy which can be imparted to a free electron in a single collision.
+\begin{equation}
+T_{max}=\frac{2m_ec^2\beta^2\gamma^2}{1+2\gamma m_e/M+(m_e/M)^2},
+\end{equation}
+where $M$ is the incident particle mass.
+
+The stopping power is compared with PSTAR program of NIST in \figref{dEdx}.
+\begin{figure}[h!]
+\begin{center}
+\includegraphics[width=0.5\textwidth]{figures/partmatter/dEdx}
+\end{center}
+\caption{The comparison of stopping power with PSTAR. }
+\label{fig:dEdx}
+\end{figure}
+
+Energy straggling: For relatively thick absorbers such that the number of collisions is large, the energy loss distribution is shown to be Gaussian in form.
+For non-relativistic heavy particles the spread $\sigma_0$ of the Gaussian distribution is calculated by:
+\begin{equation}
+\sigma_0^2=4\pi N_Ar_e^2(m_ec^2)^2\rho\frac{Z}{A}\Delta s,
+\end{equation}
+where $\rho$ is the density, $\Delta s$ is the thickness.
+
+\section{The Coulomb Scattering}
+The Coulomb scattering is treated as two independent events: the multiple Coulomb scattering and the large angle Rutherford scattering.\\
+Using the distribution given in Classical Electrodynamics, by J. D. Jackson, the multiple- and single-scattering distributions can be written:
+\begin{equation}
+\label{eq:PM}
+P_M(\alpha) \;\differential \alpha=\frac{1}{\sqrt{\pi}}e^{-\alpha^2}\;\differential\alpha,
+\end{equation}
+\begin{equation}
+\label{eq:Ps}
+P_S(\alpha) \;\differential{} \alpha=\frac{1}{8 \ln(204 Z^{-1/3})} \frac{1}{\alpha^3}\;\differential{}\alpha,
+\end{equation}
+where $\alpha=\frac{\theta}{<\Theta^2>^{1/2}}=\frac{\theta}{\sqrt 2 \theta_0}$.\\
+
+ the transition point is $\theta=2.5 \sqrt 2 \theta_0\approx3.5 \theta_0$,
+\begin{equation}
+\label{eq:Multiple}
+\theta_0=\frac{\SI{13.6}{\mega\electronvolt}}{\beta c p} z \sqrt{\Delta s/X_0} [1+0.038 \ln(\Delta s/X_0)],
+\end{equation}
+where $p$ is the momentum, $\Delta s$ is the step size, and $X_0$ is the radiation length.
+
+\subsection{Multiple Coulomb Scattering}
+Generate two independent Gaussian random variables with mean zero and variance one: $z_1$ and $z_2$.
+If $z_2 \theta_0>3.5 \theta_0$, start over. Otherwise,
+\begin{equation}
+\label{eq:Multiplex}
+x=x+\Delta s p_x+z_1 \Delta s \theta_0/\sqrt{12}+z_2 \Delta s \theta_0/2,
+\end{equation}
+\begin{equation}
+\label{eq:Multiplepx}
+p_x=p_x+z_2 \theta_0.
+\end{equation}
+Generate two independent Gaussian random variables with mean zero and variance one: $z_3$ and $z_4$.
+If $z_4 \theta_0>3.5 \theta_0$, start over. Otherwise,
+\begin{equation}
+\label{eq:Multipley}
+y=y+\Delta s p_y+z_3 \Delta s \theta_0/\sqrt{12}+z_4 \Delta s \theta_0/2,
+\end{equation}
+\begin{equation}
+\label{eq:Multiplepy}
+p_y=p_y+z_4 \theta_0.
+\end{equation}
+
+\subsection{Large Angle Rutherford Scattering}
+
+Generate a random number $\xi_1$, \textit{if} $\xi_1<\frac{\int_{2.5}^\infty P_S(\alpha)d\alpha}{\int_0^{2.5} P_M(\alpha)\;\differential\alpha+\int_{2.5}^\infty P_S(\alpha)\;\differential\alpha}=0.0047$, sampling the large angle
+Rutherford scattering.\\
+The cumulative distribution function of the large angle
+Rutherford scattering is
+\begin{equation}
+\label{eq:Fa}
+F(\alpha)=\frac{\int_{2.5}^\alpha P_S(\alpha) \;\differential \alpha}{\int_{2.5}^\infty P_S(\alpha) \;\differential \alpha}=\xi,
+\end{equation}
+where $\xi$ is a random variable. So
+\begin{equation}
+\label{eq:alpha}
+\alpha=\pm 2.5 \sqrt{\frac{1}{1-\xi}}=\pm 2.5 \sqrt{\frac{1}{\xi}}.
+\end{equation}
+Generate a random variable $P_3$,\\
+\textit{if} $P_3>0.5$
+\begin{equation}
+ \theta_{Ru}=2.5 \sqrt{\frac{1}{\xi}} \sqrt{2}\theta_0,
+\end{equation}
+\textit{else}
+\begin{equation}
+ \theta_{Ru}=-2.5 \sqrt{\frac{1}{\xi}} \sqrt{2}\theta_0.
+\end{equation}
+
+The angle distribution after Coulomb scattering is shown in \figref{Coulomb}.
+The line is from Jackson's formula, and the points are simulations with Matlab.
+For a thickness of $\Delta s=1e-4$ $m$, $\theta=0.5349 \alpha$ (in degree).
+
+\begin{figure}[h!]
+\begin{center}
+\includegraphics[width=.8\textwidth]{figures/partmatter/10steps}
+\end{center}
+\caption{The comparison of Coulomb scattering with Jackson's book. }
+\label{fig:Coulomb}
+\end{figure}
+
+\section{The Flow Diagram of {\em CollimatorPhysics} Class in OPAL}
+\begin{figure}[h!]
+\begin{center}
+\includegraphics[width=0.8\textwidth]{figures/partmatter/diagram}
+\end{center}
+\caption{The diagram of CollimatorPhysics in \opal. }
+\label{fig:diagram}
+\end{figure}
+\begin{figure}[h!]
+\begin{center}
+\includegraphics[width=0.6\textwidth]{figures/partmatter/Diagram2}
+\end{center}
+\caption{The diagram of CollimatorPhysics in \opal (continued). }
+\label{fig:diagram2}
+\end{figure}
+\clearpage
+
+\subsection{The Substeps}
+
+Small step is needed in the routine of CollimatorPhysics.
+
+If a large step is given in the main input file, in the file \filename{CollimatorPhysics.cpp},
+it is divided by a integer number $n$ to make the step size using for the calculation of collimator physics less than 1.01e-12 s. As shown
+by \figref{diagram,diagram2} in the previous section, first we track one step for the particles already in the
+collimator and the newcomers, then another (n-1) steps to make sure the particles in the collimator experience the same time as the ones
+in the main bunch.
+
+Now, if the particle leave the collimator during the (n-1) steps, we track it as in a drift and put it back to the main bunch when
+finishing (n-1) steps.
+
+\section{Available Materials in \opal}
+\begin{table}[H]\footnotesize
+\centering
+ \caption{List of materials with their parameters implemented in \opal.}
+ \label{table:Materials}
+ \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}
+ \hline
+ \tabhead{Material & Z & A & $\rho$ [$g/cm^3$] & X0 [$g/cm^2$] & A2 & A3 & A4 & A5 & \opal Name}
+ \hline
+ Aluminum & 13 & 26.98 & 2.7 & 24.01 & 4.739 & 2766 & 164.5 & 2.023E-02 & \keyword{Aluminum }\\
+ %\hline
+ AluminaAl2O3 & 50 & 101.96 & 3.97 & 27.94 & 7.227 & 11210 & 386.4 & 4.474e-3 & \keyword{AluminaAl2O3 }\\
+ %\hline
+ Copper & 29 & 63.54 & 8.96 & 12.86 & 4.194 & 4649 & 81.13 & 2.242E-02 & \keyword{Copper}\\
+ %\hline
+ Graphite & 6 & 12.0172 & 2.210 & 42.7 & 2.601 & 1701 & 1279 & 1.638E-02 & \keyword{Graphite }\\
+ %\hline
+ GraphiteR6710 & 6 & 12.0172 & 1.88 & 42.7 & 2.601 & 1701 & 1279 & 1.638E-02 & \keyword{GraphiteR6710}\\
+ %\hline
+ Titan & 22 & 47.8 & 4.54 & 16.16 & 5.489 & 5260 & 651.1 & 8.930E-03 & \keyword{Titan }\\
+ %\hline
+ Air & 7 & 14 & 0.0012 & 37.99 & 3.350 & 1683 & 1900 & 2.513E-02 & \keyword{Air }\\
+ %\hline
+ Kapton & 6 & 12 & 1.4 & 39.95 & 2.601 & 1701 & 1279 & 1.638E-02 & \keyword{Kapton }\\
+ %\hline
+ Gold & 79 & 197 & 19.3 & 6.46 & 5.458 & 7852 & 975.8 & 2.077E-02 & \keyword{Gold }\\
+ %\hline
+ Water & 10 & 18 & 1 & 36.08 & 2.199 & 2393 & 2699 & 1.568E-02 & \keyword{Water }\\
+ %\hline
+ Mylar & 6.702 & 12.88 & 1.4 & 39.95 & 3.35 & 1683 & 1900 & 2.513E-02 & \keyword{Mylar }\\
+ %\hline
+ Berilium & 4 & 9.012 & 1.848 & 65.19 & 2.590 & 966.0 & 153.8 & 3.475E-02 & \keyword{Berilium }\\
+ %\hline
+ Molybdenum & 42 & 95.94 & 10.22 & 9.8 & 7.248 & 9545 & 480.2 & 5.376E-03 & \keyword{Molybdenum}\\
+ \hline
+ \end{tabular}
+\end{table}
+
+
+
+\section{Example of an Input File}
+
+\examplefromfile{examples/surfacephysics.in}
+
+FX5 is a slit in x direction, the \keyword{APERTURE} is \textbf{POSITIVE}, the first value in \keyword{APERTURE} is the left part, the second value is the right part.
+FX16 is a slit in y direction, the \keyword{APERTURE} is \textbf{NEGATIVE}, the first value in \keyword{APERTURE} is the down part, the second value is the up part.
+
+\section{A Simple Test}
+A cold Gaussian beam with $\sigma_x=\sigma_y=5$ mm.
+The position of the collimator is from 0.01 m to 0.1 m, the half aperture in y direction is $3$ mm. \figref{longcoll}
+shows the trajectory of particles which are either absorbed or deflected by a copper slit. As a benchmark of the collimator model in \opal, \figref{Espectrum} shows the energy spectrum and angle deviation at z=0.1 m after an elliptic collimator.
+\begin{figure}[h!]
+\begin{center}
+\includegraphics[width=0.8\textwidth]{figures/partmatter/longcoll6}
+\end{center}
+\caption{The passage of protons through the collimator. }
+\label{fig:longcoll}
+\end{figure}
+
+\begin{figure}[h!]
+\begin{center}
+\includegraphics[width=0.8\textwidth]{figures/partmatter/spectandscatter}
+\end{center}
+\caption{The energy spectrum and scattering angle at z=0.1 m}
+\label{fig:Espectrum}
+\end{figure}
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/pdfdraftcopy.sty b/doc/user_guide/pdfdraftcopy.sty
new file mode 100644
index 0000000000000000000000000000000000000000..1390ba1e12c3d26080616130ea79c6d6c40170ff
--- /dev/null
+++ b/doc/user_guide/pdfdraftcopy.sty
@@ -0,0 +1,198 @@
+%%
+%%
+%% This is file 'pdfdraftcopy.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%%
+%% pdfdraftcopy.dtx (with options: 'package')
+%%
+%% File: pdfdraftcopy.dtx Copyright (c) 2003, C. V. Radhakrishnan
+%% C. V. Rajagopal
+%% River Valley Technologies, Floor III, SJP Buildings
+%% Cotton Hills, Trivandrum, India 695014
+%% http://www.river-valley.com
+%%
+%% This package may be distributed under the terms of the LaTeX Project
+%% Public License, as described in lppl.txt in the base LaTeX distribution.
+%% Either version 1.0 or, at your option, any later version.
+%%
+%% $Id: pdfdraftcopy.sty,v 1.2 2003/08/11 20:31:07 cvr Exp cvr $
+%%
+\NeedsTeXFormat{LaTeX2e}
+\def\Fileversion$#1: #2 ${\gdef\fileversion{#2}}
+\def\Filedate$#1: #2 #3 ${\gdef\filedate{#2}}
+\Fileversion$Revision: 1.2 $
+\Filedate$Date: 2003/08/11 20:31:07 $
+\ProvidesPackage{pdfdraftcopy}
+ [\filedate\space\fileversion\space Draft copy in PDF (CVR)]
+\PackageWarningNoLine{pdfdraftcopy}
+ {****************************************\MessageBreak
+ Package pdfdraftcopy v,\fileversion\space loaded\MessageBreak
+ [Draft copy in PDF (CVR)]\MessageBreak
+ ****************************************}
+\DeclareOption{watermark}{\AtBeginDocument{%
+ \begingroup\watermark\endgroup}}
+\DeclareOption{draft}{\AtBeginDocument{%
+ \begingroup\draftcopy\endgroup}}
+\ExecuteOptions{draft}
+\ProcessOptions\relax
+
+\RequirePackage{color,graphicx}
+
+\let\@DRAFTout@Hook\@empty
+\newcommand{\DRAFTout}{\g@addto@macro\@DRAFTout@Hook}
+\newcommand{\@DRAFTout@Out}{%
+ \afterassignment\@DRAFTout@Test
+ \global\setbox\@cclv= %
+ }
+\newcommand{\@DRAFTout@Test}{%
+ \ifvoid\@cclv\relax
+ \aftergroup\@DRAFTout@Output
+ \else
+ \@DRAFTout@Output
+ \fi%
+ }
+\newcommand{\@DRAFTout@Output}{%
+ \@DRAFTout@Hook%
+ \@DRAFTout@Org@Out\box\@cclv%
+ }
+\newcommand{\@DRAFTout@Org@Out}{}
+\newcommand*{\@DRAFTout@Init}{%
+ \let\@DRAFTout@Org@Out\shipout
+ \let\shipout\@DRAFTout@Out
+ }
+\AtBeginDocument{\@DRAFTout@Init}
+\newcommand{\@DraftOverlay@Hook}{}
+\newcommand{\AddToDraftOverlay}{\g@addto@macro\@DraftOverlay@Hook}
+\newcommand{\ClearDraftOverlay}{\let\@DraftOverlay@Hook\@empty}
+\newcommand{\@DraftOverlay}{%
+ \ifx\@DraftOverlay@Hook\@empty
+ \else
+ \bgroup
+ \@tempdima=1in
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+ \advance\@tempcntb\paperheight
+ \global\setbox\@cclv\vbox{%
+ \vbox{\let\protect\relax%
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+ \@DraftOverlay@Hook%
+ \endpicture}%
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+ \egroup
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+\definecolor{gray30}{gray}{.7}
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+\definecolor{gray10}{gray}{.9}
+
+\DRAFTout{\@DraftOverlay}
+\newdimen\LLY
+\newdimen\LLX
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+\newdimen\URY
+\newdimen\topmargin
+\newdimen\bottommargin
+\def\@printdimen{%\ifthenelse{\equal{\@debug}{true}}%
+ {\PackageWarningNoLine{PDFdraftcopy}%
+ {\LLX::::::::::::=\the\LLX\MessageBreak
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+ Now fixing the overlay in place
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+ \addtolength\LLY{-1in}
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+ \addtolength\LLX{\evensidemargin}\fi
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+ \setlength\URY{\textheight}
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+\def\LoadWaterMark{\watermark}
+\def\watermark{\AddToDraftOverlay{%
+ \@DRAFTdimen%\@printdimen%
+ \setlength{\@tempdima}{0pt}
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+ \addtolength{\@tempdimb}{-\@tempdima}
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+ \put(0,\strip@pt\paperheight){\fboxrule0pt\fboxsep0pt%
+ %\fcolorbox{white}{red}%
+ {\begin{minipage}[t][\paperheight][c]{\paperwidth}
+ \centering
+ \ifx\@@watermark\@empty\relax\else
+ \includegraphics%[width=\paperwidth,height=\paperheight]%
+ {\@@watermark}\fi%
+ \end{minipage}}}}}%
+
+\let\@@watermark\@empty
+\def\watermarkgraphic#1{\gdef\@@watermark{#1}}
+
+\def\draftcopy{\AddToDraftOverlay{%
+ \@DRAFTdimen%\@printdimen%
+ \setlength{\@tempdima}{0pt}
+ \setlength{\@tempdimb}{\paperwidth}
+ \addtolength{\@tempdimb}{-\@tempdima}
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+ \setlength{\@tempdimc}{\paperheight}
+ \addtolength{\@tempdimc}{-\@tempdima}
+ \addtolength{\@tempdimc}{-\@tempdima}
+ \setlength{\unitlength}{1pt}\thinlines%
+%
+ \put(0,\strip@pt\paperheight){\fboxrule0pt\fboxsep0pt%
+ %\fcolorbox{white}{red}%
+ {\begin{minipage}[t][\paperheight][c]{\paperwidth}
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+ \fontfamily{\@draftfontfamily}%
+ \fontsize{\@draftfontsize}{\@draftfontsize}\selectfont
+ {\@draftfontattrib\@draftstring}
+ }\endgroup
+ \end{minipage}}}}}%
+
+\def\@draftangle{45}
+\def\@draftstring{DRAFT COPY}
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+\def\@draftfontfamily{ptm}
+\def\@draftfontsize{80}
+\def\@draftfontattrib{\upshape}
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+\def\draftfontfamily#1{\gdef\@draftfontfamily{#1}}
+\def\draftfontsize#1{\gdef\@draftfontsize{#1}}
+\def\draftfontattrib#1{\gdef\@draftfontattrib{#1}}
+\def\draftangle#1{\gdef\@draftangle{#1}}
+\endinput
+%%
+%%
+%% End of package 'pdfdraftcopy.sty'
+%%
diff --git a/doc/user_guide/physics.tex b/doc/user_guide/physics.tex
new file mode 100755
index 0000000000000000000000000000000000000000..69f043c3a3318b90d6caf480baa06002b49a7306
--- /dev/null
+++ b/doc/user_guide/physics.tex
@@ -0,0 +1,86 @@
+\input{header}
+
+\chapter{Beam Command}
+\label{chp:beam}
+\index{BEAM}
+All \opal commands working on a beam require the setting of various
+quantities related to this beam.
+These are entered by a \keyword{BEAM} command:
+\begin{example}
+label:BEAM, PARTICLE=name, MASS=real, CHARGE=real,
+ ENERGY=real, PC=real, GAMMA=real, BCURRENT=real,
+ NPART=real, BUNCHED=logical, BFREQ=real;
+\end{example}
+The \texttt{label} is optional, it defaults to \keyword{UNNAMED\_BEAM}.
+\index{UNNAMED\_BEAM}. The particle mass and charge are defined by:
+\begin{kdescription}
+\item[PARTICLE]
+ The name of particles in the machine.
+\end{kdescription}
+
+\opal knows the mass and the charge for the following particles:
+\begin{kdescription}
+ \item[POSITRON]
+ The particles are positrons (\texttt{MASS}=$m_e$,
+ \texttt{CHARGE}=1),
+
+ \item[ELECTRON]
+ The particles are electrons (\texttt{MASS}=$m_e$,
+ \texttt{CHARGE}=-1),
+
+ \item[PROTON]
+ The particles are protons (default, \texttt{MASS}=$m_p$,
+ \texttt{CHARGE}=1),
+
+ \item[ANTIPROTON]
+ The particles are anti-protons (\texttt{MASS}=$m_p$,
+ \texttt{CHARGE}=-1).
+
+ \item[HMINUS]
+ The particles are h- protons (\texttt{MASS}=$m\_{h^{-}}$,
+ \texttt{CHARGE}=-1).
+
+ \item[CARBON]
+ The particles are carbons (\texttt{MASS}=$m_c$,
+ \texttt{CHARGE}=12).
+
+ \item[URANIUM]
+ The particles are of type uranium (\texttt{MASS}=$m_u$,
+ \texttt{CHARGE}=35).
+
+ \item[MUON]
+ The particles are of type muon (\texttt{MASS}=$m_\mu$,
+ \texttt{CHARGE}=-1).
+
+ \item[DEUTERON]
+ The particles are of type deuteron (\texttt{MASS}=$m_d$,
+ \texttt{CHARGE}=1).
+
+ \item[XENON]
+ The particles are of type xenon (\texttt{MASS}=$m_{xe}$,
+ \texttt{CHARGE}=20).
+\end{kdescription}
+
+For other particle names one may enter:
+\begin{kdescription}
+\item[MASS]
+ \index{Particle!Mass}\index{Mass}
+ The particle mass in GeV.
+\item[CHARGE]
+ \index{Particle!Charge}\index{Charge}
+ The particle charge expressed in elementary charges.
+\end{kdescription}
+
+The other attributes are:
+
+\begin{kdescription}
+\item[BFREQ]
+ The bunch frequency in MHz.
+\item[BCURRENT]
+The bunch current in A.
+$\text{\keyword{BCURRENT}} = Q \times \text{\keyword{BFREQ}}$ with $Q$ the total charge.
+\item[NPART]
+The number of macro particles for the simulations
+\end{kdescription}
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/quick-installation.tex b/doc/user_guide/quick-installation.tex
new file mode 100644
index 0000000000000000000000000000000000000000..d61e0e3fc95fdfcc5a90c323fddf071fd5e6ce2b
--- /dev/null
+++ b/doc/user_guide/quick-installation.tex
@@ -0,0 +1,156 @@
+\input{header}
+
+
+%========================================================
+% OSX Lion installation
+%========================================================
+
+\section{Quick Installation}
+\subsection{OS X 10.7 -- Lion}
+
+
+\paragraph{gcc and supporting utilities}
+Download and install the following
+\begin{itemize}
+ \item MacPorts from \url{http://www.macports.org}
+ \item Xcode \url{http://developer.apple.com/xcode/}
+\end{itemize}
+With MacPorts installed, install the following
+\begin{footnotesize}
+\begin{verbatim}
+sudo port install gcc45
+sudo port select mp-gcc45 #selects gcc 4.5
+sudo port install gsl
+sudo port install automake
+sudo port install autoconf #(already installed at this point)
+sudo port install libtool
+sudo port install cmake
+sudo port install wget
+\end{verbatim}
+\end{footnotesize}
+Make directories to work in:
+\begin{footnotesize}
+\begin{verbatim}
+mkdir -p opal_svn/util
+cd opal_svn/util
+\end{verbatim}
+\end{footnotesize}
+
+%========================================================
+% openmpi
+\paragraph{openmpi 1.4.4}
+Download {\tt openmpi} archive, make, and install:
+\begin{footnotesize}
+\begin{verbatim}
+wget http://www.open-mpi.org/software/ompi/v1.4/downloads/openmpi-1.4.4.tar.gz
+tar -xvzf openmpi-1.4.4.tar.gz
+./configure --prefix=/opt/local/openmpi-1.4.4
+make
+sudo make install
+\end{verbatim}
+\end{footnotesize}
+Finally, add \verb+/opt/local/openmpi-1.4.4/bin+ to \verb+PATH+ in your \verb+~/.profile+ file.
+
+
+%========================================================
+% hdf5
+\paragraph{hdf5 1.8.7}
+Download {\tt hdf5} archive
+\begin{footnotesize}
+\begin{verbatim}
+wget http://www.hdfgroup.org/ftp/HDF5/current/src/hdf5-1.8.7.tar.gz
+tar -xzvf hdf5-1.8.7.tar.gz
+\end{verbatim}
+\end{footnotesize}
+Build and install the serial version
+\begin{footnotesize}
+\begin{verbatim}
+CC=gcc CXX=g++ ./configure \
+ --prefix=/opt/local/hdf5-1.8.7 \
+ --enable-cxx --enable-fortran
+make
+sudo make install
+\end{verbatim}
+\end{footnotesize}
+Build and install the parallel version
+\begin{footnotesize}
+\begin{verbatim}
+make clean
+CXX=mpicxx CC=mpicc ./configure \
+ --prefix=/opt/local/hdf5-1.8.7_p \
+ --enable-parallel --enable-fortran
+make
+sudo make install
+\end{verbatim}
+\end{footnotesize}
+
+%========================================================
+% h5hut
+\paragraph{h5hut}
+In directory \verb+opal_svn+, checkout from PSI (change {\tt yourusername)}:
+\begin{footnotesize}
+\begin{verbatim}
+svn co svn+ssh://yourusername@savannah.psi.ch/repos/H5hut/src/tags/1.99.8 \
+ H5hut-1.99.8
+ln -s H5hut-1.99.8 H5hut
+cd H5hut
+\end{verbatim}
+\end{footnotesize}
+Build and install the serial version
+\begin{footnotesize}
+\begin{verbatim}
+./autogen.sh
+ FC=gfortran CC=gcc CXX=g++ ./configure \
+ --disable-shared --enable-fortran \
+ --with-hdf5=/opt/local/hdf5-1.8.7 \
+ CFLAGS=-std=c99 \
+ --prefix=/opt/local/H5hut
+make
+sudo make install
+\end{verbatim}
+\end{footnotesize}
+Build and install the parallel version
+\begin{footnotesize}
+\begin{verbatim}
+make clean
+CC=mpicc CXX=mpicxx ./configure \
+ --enable-parallel \
+ --with-hdf5=/opt/local/hdf5-1.8.7_p \
+ CFLAGS=-std=c99 \
+ --prefix=/opt/local/H5hut_p
+make
+sudo make install
+\end{verbatim}
+\end{footnotesize}
+
+%========================================================
+% OPAL
+\paragraph{OPAL}
+%========================================================
+% definition file
+Edit \verb+opal_svn/OPAL_defs.bash+ to contain:
+\begin{footnotesize}
+\begin{verbatim}
+export PSI_SVNWORK=$HOME/Code/opal_svn
+export OPAL_ROOT=$PSI_SVNWORK/opal
+export H5hut=/opt/local/H5hut
+export CLASSIC_ROOT=$OPAL_ROOT/classic/5.0
+export HDF5_INCLUDE_PATH=/opt/local/hdf5-1.8.7/include
+export HDF5_LIBRARY_PATH=/opt/local/hdf5-1.8.7/lib
+export GSL_PREFIX=/opt/local
+\end{verbatim}
+\end{footnotesize}
+Change the permissions of this file with \verb|chmod +x OPAL_defs.bash|. Check out and build \opal in \verb+opal_svn+:
+\begin{footnotesize}
+\begin{verbatim}
+svn checkout svn+ssh://yourusername@savannah.psi.ch/repos/amas/amas/OPAL/trunk/
+cd opal;mkdir build;cd build
+. ../../OPAL_defs.bash
+CC=mpicc CXX=mpicxx cmake ../
+make -j 2 #(This builds with 2 processors)
+\end{verbatim}
+\end{footnotesize}
+
+
+\input{footer}
+
diff --git a/doc/user_guide/switches.tex b/doc/user_guide/switches.tex
new file mode 100644
index 0000000000000000000000000000000000000000..dfdaf142e9f01c117faf77ea759550fb4655a34e
--- /dev/null
+++ b/doc/user_guide/switches.tex
@@ -0,0 +1,8 @@
+\newboolean{ShowMap}
+\setboolean{ShowMap}{false}
+
+\newboolean{ShowEnv}
+\setboolean{ShowEnv}{false}
+
+\newboolean{ShowDebug}
+\setboolean{ShowDebug}{false}
\ No newline at end of file
diff --git a/doc/user_guide/syntax.tex b/doc/user_guide/syntax.tex
new file mode 100755
index 0000000000000000000000000000000000000000..b572f1f8edf69e4fa5fcc1d56e840f316d92f512
--- /dev/null
+++ b/doc/user_guide/syntax.tex
@@ -0,0 +1,496 @@
+\input{header}
+
+\chapter{OPAL Language Syntax}
+\label{chp:syntax}
+\index{Syntax|(}
+Words in \textit{italic font} are syntactic entities, and characters in
+\texttt{monospaced font} must be entered as shown.
+Comments are given in \textbf{bold font}.
+
+\section*{Statements:}
+\begin{tabular}{p{4cm}cl}
+\textit{comment}
+ &:& \texttt{//} \textit{anything-except-newline} \\
+ &\texttt{|}& \texttt{/*} \textit{anything-except-}\texttt{*/} \texttt{*/}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{identifier}
+ &:& \texttt{[a-zA-Z][a-zA-Z0-9-]}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{integer}
+ &:& \texttt{[0-9]+}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{string}
+ &:& \texttt{'}\textit{anything-except-single-quote}\texttt{'} \\
+ &\texttt{|}& \texttt{"}anything-except-double-quote\texttt{"}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{command}
+ &:& \textit{keyword} \textit{attribute-list} \\
+ &\texttt{|}& \textit{label} \texttt{:} \textit{keyword} \textit{attribute-list}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{keyword}
+ &:& \textit{identifier}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{label}
+ &:& \textit{identifier}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{attribute-list}
+ &:& \textit{empty} \\
+ &\texttt{|}& \textit{attribute-list} \texttt{,} \textit{attribute}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{attribute}
+ &:& \textit{attribute-name} \textbf{// only for logical attribute} \\
+ &\texttt{|}& \textit{attribute-name} \texttt{=} \textit{attribute-value}
+ \\
+ & &\textbf{// expression evaluated} \\
+ &\texttt{|}& \textit{attribute-name} \texttt{:=} \textit{attribute-value} \\
+ & &\textbf{// expression retained}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{attribute-name}
+ &:& \textit{identifier}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{attribute-value}
+ &:& \textit{string-expression} \\
+ &\texttt{|}& \textit{logical-expression} \\
+ &\texttt{|}& \textit{real-expression} \\
+ &\texttt{|}& \textit{array-expression} \\
+ &\texttt{|}& \textit{constraint} \\
+ &\texttt{|}& \textit{variable-reference} \\
+ &\texttt{|}& \textit{place} \\
+ &\texttt{|}& \textit{range} \\
+ &\texttt{|}& \textit{token-list} \\
+ &\texttt{|}& \textit{token-list-array} \\
+ &\texttt{|}& \textit{regular-expression}
+\end{tabular}
+
+\section*{Real expressions:}
+\begin{tabular}{p{4cm}cl}
+\textit{real-expression}
+ &:& \textit{real-term} \\
+ &\texttt{|}& \texttt{+} \textit{real-term} \\
+ &\texttt{|}& \texttt{-} \textit{real-term} \\
+ &\texttt{|}& \textit{real-expression} \texttt{+} \textit{real-term} \\
+ &\texttt{|}& \textit{real-expression} \texttt{-} \textit{real-term}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{real-term}
+ &:& \textit{real-factor} \\
+ &\texttt{|}& \textit{real-term} \texttt{*} \textit{real-factor} \\
+ &\texttt{|}& \textit{real-term} \texttt{/} \textit{real-factor}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{real-factor}
+ &:& \textit{real-primary} \\
+ &\texttt{|}& \textit{real-factor} \texttt{\^{}} \textit{real-primary}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{real-primary}
+ &:& \textit{real-literal} \\
+ &\texttt{|}& \textit{symbolic-constant} \\
+ &\texttt{|}& \texttt{\#} \\
+ &\texttt{|}& \textit{real-name} \\
+ &\texttt{|}& \textit{array} \texttt{[} \textit{index} \texttt{]} \\
+ &\texttt{|}& \textit{object-name} \texttt{->} \textit{real-attribute} \\
+ &\texttt{|}& \textit{object-name} \texttt{->} \textit{array-attribute}
+ \texttt{[} \textit{index} \texttt{]} \\
+ &\texttt{|}& \textit{table-reference} \\
+ &\texttt{|}& \textit{real-function} \texttt{()} \\
+ &\texttt{|}& \textit{real-function} \texttt{(} \textit{real-expression}
+ \texttt{)} \\
+ &\texttt{|}& \textit{real-function} \texttt{(} \textit{real-expression}
+ \texttt{,} \textit{real-expression} \texttt{)} \\
+ &\texttt{|}& \textit{function-of-array}
+ \texttt{(} \textit{array-expression} \texttt{)} \\
+ &\texttt{|}& \texttt{(} \textit{real-expression} \texttt{)}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{real-function}
+ &:& \keyword{RANF} \\
+ &\texttt{|}& \keyword{GAUSS} \\
+% &\texttt{|}& \keyword{USER0} \\
+% &\texttt{|}& \keyword{SI} \\
+ % &\texttt{|}& \keyword{SC} \\
+ % &\texttt{|}& \keyword{SO} \\
+ &\texttt{|}& \keyword{ABS} \\
+ &\texttt{|}& \keyword{TRUNC} \\
+ &\texttt{|}& \keyword{ROUND} \\
+ &\texttt{|}& \keyword{FLOOR} \\
+ &\texttt{|}& \keyword{CEIL} \\
+ &\texttt{|}& \keyword{SIGN} \\
+ &\texttt{|}& \keyword{SQRT} \\
+ &\texttt{|}& \keyword{LOG} \\
+ &\texttt{|}& \keyword{EXP} \\
+ &\texttt{|}& \keyword{SIN} \\
+ &\texttt{|}& \keyword{COS} \\
+ &\texttt{|}& \keyword{ABS} \\
+ &\texttt{|}& \keyword{TAN} \\
+ &\texttt{|}& \keyword{ASIN} \\
+ &\texttt{|}& \keyword{ACOS} \\
+ &\texttt{|}& \keyword{ATAN} \\
+% &\texttt{|}& \keyword{TGAUSS} \\
+% &\texttt{|}& \keyword{USER1} \\
+ &\texttt{|}& \keyword{ATAN2} \\
+ &\texttt{|}& \keyword{MAX} \\
+ &\texttt{|}& \keyword{MIN} \\
+ &\texttt{|}& \keyword{MOD} \\
+ &\texttt{|}& \keyword{POW} \\
+ % &\texttt{|}& \keyword{USER2}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{function-of-array}
+ &:& \keyword{VMIN} \\
+ &\texttt{|}& \keyword{VMAX} \\
+ &\texttt{|}& \keyword{VRMS} \\
+ &\texttt{|}& \keyword{VABSMAX}
+\end{tabular}
+
+\section*{Real variables and constants:}
+\begin{tabular}{p{4cm}cl}
+\textit{real-prefix}
+ &:& empty \\
+ &\texttt{|}& \keyword{REAL} \\
+ &\texttt{|}& \keyword{REAL CONST} \\
+ &\texttt{|}& \keyword{CONST}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{real-definition}
+ &:& \textit{real-prefix} \textit{real-name} \texttt{=}
+ \textit{real-expression} \\
+ & &\textbf{// expression evaluated} \\
+ &\texttt{|}& \textit{real-prefix} \textit{real-name} \texttt{:=}
+ \textit{real-expression} \\
+ & &\textbf{// expression retained}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{symbolic-constant}
+ &:& \keyword{PI} \\
+ &\texttt{|}& \keyword{TWOPI} \\
+ &\texttt{|}& \keyword{DEGRAD} \\
+ &\texttt{|}& \keyword{RADDEG} \\
+ &\texttt{|}& \keyword{E} \\
+ &\texttt{|}& \keyword{EMASS} \\
+ &\texttt{|}& \keyword{PMASS} \\
+ &\texttt{|}& \keyword{HMMASS} \\
+ &\texttt{|}& \keyword{UMASS} \\
+ &\texttt{|}& \keyword{CMASS} \\
+ &\texttt{|}& \keyword{MMASS} \\
+ &\texttt{|}& \keyword{DMASS} \\
+ &\texttt{|}& \keyword{XEMASS} \\
+ &\texttt{|}& \keyword{CLIGHT} \\
+ &\texttt{|}& \textit{real-name}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{real-name}
+ &:& \textit{identifier}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{object-name}
+ &:& \textit{identifier}
+\end{tabular}
+\\
+%\begin{tabular}{p{4cm}cl}
+%\textit{table-reference}
+% &:& \textit{table-name} \texttt{@} \textit{place} \texttt{->}
+ % \textit{column-name}
+%\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{table-name}
+ &:& \textit{identifier}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{column-name}
+ &:& \textit{identifier}
+\end{tabular}
+
+\section*{Logical expressions:}
+\begin{tabular}{p{4cm}cl}
+\textit{logical-expression}
+ &:& \textit{and-expression} \\
+ &\texttt{|}& \textit{logical-expression} \texttt{||} \textit{and-expression}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{and-expression}
+ &:& \textit{relation} \\
+ &\texttt{|}& \textit{and-expression} \texttt{\&\&} \textit{relation}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{relation}
+ &:& \textit{logical-name} \\
+ &\texttt{|}& \keyword{TRUE} \\
+ &\texttt{|}& \keyword{FALSE} \\
+ &\texttt{|}& \textit{real-expression} \textit{relation-operator}
+ \textit{real-expression}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{logical-name}
+ &:& \textit{identifier}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{relation-operator}
+ &:& \texttt{==} \\
+ &\texttt{|}& \texttt{!=} \\
+ &\texttt{|}& \texttt{<} \\
+ &\texttt{|}& \texttt{>} \\
+ &\texttt{|}& \texttt{>=} \\
+ &\texttt{|}& \texttt{<=}
+\end{tabular}
+
+\section*{Logical variables:}
+\begin{tabular}{p{4cm}cl}
+\textit{logical-prefix}
+ &:& \keyword{BOOL} \\
+ &\texttt{|}& \keyword{BOOL CONST}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{logical-definition}
+ &:& \textit{logical-prefix} \textit{logical-name} \texttt{=}
+ \textit{logical-expression} \\
+ & &\textbf{// expression evaluated} \\
+ &\texttt{|}& \textit{logical-prefix} \textit{logical-name \texttt{:=}}
+ \textit{logical-expression} \\
+ & &\textbf{// expression retained}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\end{tabular}
+
+\section*{String expressions:}
+\begin{tabular}{p{4cm}cl}
+\textit{string-expression}
+ &:& \textit{string} \\
+ &\texttt{|}& \textit{identifier} \textbf{// taken as a string} \\
+ &\texttt{|}& \textit{string-expression} \texttt{\&} \textit{string}
+\end{tabular}
+
+\section*{String constants:}
+\begin{tabular}{p{4cm}cl}
+\textit{string-prefix}
+ &:& \keyword{STRING}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{string-definition}
+ &:& \textit{string-prefix} \textit{string-name} \texttt{=}
+ \textit{string-expression} \\
+ & &\textbf{// expression evaluated} \\
+ &\texttt{|}& \textit{string-prefix} \textit{string-name} \texttt{:=}
+ \textit{string-expression} \\
+ & &\textbf{// expression retained}
+\end{tabular}
+
+\section*{Real array expressions:}
+\begin{tabular}{p{4cm}cl}
+\textit{array-expression}
+ &:& \textit{array-term} \\
+ &\texttt{|}& \texttt{+} \textit{array-term} \\
+ &\texttt{|}& \texttt{-} \textit{array-term} \\
+ &\texttt{|}& \textit{array-expression} \texttt{+} \textit{array-term} \\
+ &\texttt{|}& \textit{array-expression} \texttt{-} \textit{array-term}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{array-term}
+ &:& \textit{array-factor} \\
+ &\texttt{|}& \textit{array-term} \texttt{*} \textit{array-factor} \\
+ &\texttt{|}& \textit{array-term} \texttt{/} \textit{array-factor}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{array-factor}
+ &:& \textit{array-primary} \\
+ &\texttt{|}& \textit{array-factor} \texttt{\^{}} \textit{array-primary}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{array-primary}
+ &:& \texttt{\{} \textit{array-literal} \texttt{\}} \\
+ &\texttt{|}& \textit{array-reference} \\
+% &\texttt{|}& \textit{table-generator} \\
+% &\texttt{|}& \textit{row-reference} \\
+% &\texttt{|}& \textit{column-reference} \\
+ &\texttt{|}& \textit{real-function}
+ \texttt{(} \textit{array-expression} \texttt{)} \\
+ &\texttt{|}& \texttt{(} \textit{array-expression} \texttt{)}
+\end{tabular}
+\\
+% \begin{tabular}{p{4cm}cl}
+% \textit{table-generator}
+% &\texttt{|}& \texttt{TABLE} \texttt{(} \textit{last} \texttt{,}
+% \textit{real-expression} \texttt{)} \\
+% &:& \texttt{TABLE} \texttt{(} \textit{first} \texttt{:}
+% \textit{last} \texttt{,} \textit{real-expression} \texttt{)} \\
+% &:& \texttt{TABLE} \texttt{(} \textit{first} \texttt{:}
+% \textit{last} \texttt{:} \textit{step} \texttt{,}
+% \textit{real-expression} \texttt{)}
+% \end{tabular}
+% \\
+% \begin{tabular}{p{4cm}cl}
+% \textit{first}
+% &:& \textit{integer}
+% \end{tabular}
+% \\
+% \begin{tabular}{p{4cm}cl}
+% \textit{last}
+% &:& \textit{integer}
+% \end{tabular}
+% \\
+%\begin{tabular}{p{4cm}cl}
+%\textit{step}
+% &:& \textit{integer}
+%\end{tabular}
+%\\
+%\begin{tabular}{p{4cm}cl}
+%\textit{table-row}
+% &:& \textit{table-name} \texttt{@} \textit{place}
+%\end{tabular}
+%\\
+%\begin{tabular}{p{4cm}cl}
+%\textit{row-reference}
+% &:& \texttt{ROW} \texttt{(} \textit{table-name} \texttt{,}
+% \textit{place} \texttt{)} \texttt{|} \\
+% &\texttt{|}& \keyword{ROW} \texttt{(} \textit{table-name} \texttt{,}
+% \textit{place} \texttt{, \{} \textit{column-list} \texttt{\})}
+%\end{tabular}
+%\\
+%\begin{tabular}{p{4cm}cl}
+%\textit{column-reference}
+% &:& \keyword{COLUMN} \texttt{(} \textit{table-name} \texttt{,}
+% \textit{column-name} \texttt{)} \\
+% &\texttt{|}& \keyword{COLUMN} \texttt{(} \textit{table-name} \texttt{,}
+% \textit{column-name} \texttt{,} \textit{range} \texttt{)}
+%\end{tabular}
+%\\
+%\begin{tabular}{p{4cm}cl}
+%\textit{column-list}
+% &:& \textit{column-name} \\
+% &\texttt{|}& \textit{column-list} \texttt{,} \textit{column-name}
+%\end{tabular}
+%\\
+\begin{tabular}{p{4cm}cl}
+\textit{array-literal}
+ &:& \textit{real-expression} \\
+ &\texttt{|}& \textit{array-literal} \texttt{,} \textit{real expression}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{array-reference}
+ &:& \textit{array-name} \\
+ &\texttt{|}& \textit{object-name} \texttt{->} \textit{array-attribute}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{array-name}
+ &:& \textit{identifier}
+\end{tabular}
+
+\section*{Real array definitions:}
+\begin{tabular}{p{4cm}cl}
+\textit{array-prefix}
+ &:& \keyword{REAL VECTOR}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{array-definition}
+ &:& \textit{array-prefix} \textit{array-name} \texttt{=}
+ \textit{array-expression} \\
+ &\texttt{|}& \textit{array-prefix} \textit{array-name} \texttt{:=}
+ \textit{array-expression}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\end{tabular}
+
+\section*{Constraints:}
+\begin{tabular}{p{4cm}cl}
+\textit{constraint}
+ &:& \textit{array-expression} \textit{constraint-operator}
+ \textit{array-expression}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{constraint-operator}
+ &:& \texttt{==} \\
+ &\texttt{|}& \texttt{<} \\
+ &\texttt{|}& \texttt{>}
+\end{tabular}
+
+\section*{Variable references:}
+\begin{tabular}{p{4cm}cl}
+\textit{variable-reference}
+ &:& \textit{real-name} \\
+ &\texttt{|}& \textit{object-name} \texttt{->} \textit{attribute-name}
+\end{tabular}
+
+%\section*{Places:}
+%\begin{tabular}{p{4cm}cl}
+%\textit{place}
+% &:& \textit{element-name} \\
+% &\texttt{|}& \textit{element-name} \texttt{[} \textit{integer} \texttt{]} \\
+% &\texttt{|}& \keyword{\#S} \\
+% &\texttt{|}& \keyword{\#E} \\
+% &\texttt{|}& \texttt{\#}{integer} \\
+% &\texttt{|}& \textit{line-name} \texttt{::} \textit{place}
+%\end{tabular}
+%
+%\section*{Ranges:}
+%\begin{tabular}{p{4cm}cl}
+%\textit{range}
+% &:& \textit{place} \\
+% &\texttt{|}& \textit{place} \texttt{/} \textit{place}
+%\end{tabular}
+
+\section*{Token lists:}
+\begin{tabular}{p{4cm}cl}
+\textit{token-list}
+ &:& \textit{anything-except-comma}
+\end{tabular}
+\\
+\begin{tabular}{p{4cm}cl}
+\textit{token-list-array}
+ &:& \textit{token-list} \\
+ &\texttt{|}& \textit{token-list-array} \texttt{,} \textit{token-list}
+\end{tabular}
+
+\section*{Regular expressions:}
+\begin{tabular}{p{4cm}cl}
+\textit{regular-expression}
+ &:& \texttt{"}\textit{UNIX-regular-expression}\texttt{"}
+\end{tabular}
+\index{Syntax|)}
+
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/tables.tex b/doc/user_guide/tables.tex
new file mode 100755
index 0000000000000000000000000000000000000000..647019c5c0df3834b288ae71562dc6437f0126b6
--- /dev/null
+++ b/doc/user_guide/tables.tex
@@ -0,0 +1,984 @@
+%=================================================
+%=================================================
+%
+% WARNING: NOT USED IN opal_user_guide.tex
+%
+%=================================================
+%=================================================
+
+\chapter{Tables}
+\label{chp:tables}
+\index{Tables|(}
+
+\section{Introduction}
+\label{sec:tabintro}
+
+Please note Tables are not yet supported in \noopalt and \noopalcycl. They probable does not make sense in a non map based computation. A typical computation in \opal follows these steps \seefig{tables}:
+
+\begin{enumerate}
+\item
+ Define a beam line using a {LINE} \seesec{line}
+ or {SEQUENCE} \seesec{sequence} command.
+\item
+ Define a beam with using {BEAM} \seechp{beam} command.
+\item
+ If desired, define imperfections on the defined beam line,
+ using one of the error commands \seechp{error}.
+\item
+ If desired, attach special integrators to selected elements of the
+ defined beam line,
+ using {SETINTEGRATOR} \seesec{setint} commands.
+\item
+ If desired, perform an orbit correction on the defined beam line,
+ using {THREADBPM} \seesec{thread} or
+ {MICADO} \seesec{micado} command.
+\item
+ Define a ``Table Object'' using one of the table \seechp{tables} commands.
+ This selects a {RANGE} \seesec{arange} of a beam line,
+ and defines an algorithm to fill the table,
+ e.~g. with the lattice functions,
+ the accumulated transfer map from the beginning of the range to the
+ current position, or the {SURVEY} data \seesec{survey}.
+ A table remains in memory and is recomputed as required.
+ It is erased only if one of the contained elements or beam lines is changed.
+\item
+ If desired, apply the match module \seechp{match} to adjust parameters
+ in the machine. The match module can work on any number of tables
+ simultaneously.
+\item
+ Use a {LIST} \seesec{list} command to print the contents of any
+ table.
+\end{enumerate}
+
+\begin{figure}[ht]
+ \begin{center}
+ \begin{picture}(400,400)
+ \thinlines
+ \put(90,370){\vector(0,-1){30}}
+ \put(150,370){\vector(0,-1){30}}
+ \put(80,310){\framebox(80,30){beam line}}
+ \put(210,325){\vector(-1,0){50}}
+ \put(240,325){\circle{60}}
+ \put(240,325){\makebox(0,0){\shortstack{Error\\Generator}}}
+ \put(320,325){\vector(-1,0){50}}
+ \put(120,310){\vector(0,-1){30}}
+ \put(120,250){\circle{60}}
+ \put(120,250){\makebox(0,0){\shortstack{Table\\Generator}}}
+ \put(320,250){\vector(-1,0){170}}
+ \put(120,220){\vector(0,-1){30}}
+ \put(80,160){\framebox(80,30){Table object}}
+ \put(210,175){\vector(-1,0){50}}
+ \put(240,175){\circle{60}}
+ \put(240,175){\makebox(0,0){\shortstack{Match\\Module}}}
+ \put(320,175){\vector(-1,0){50}}
+ \put(120,100){\circle{60}}
+ \put(120,160){\vector(0,-1){30}}
+ \put(120,100){\makebox(0,0){\shortstack{Table\\Lister}}}
+ \put(320,100){\vector(-1,0){170}}
+ \put(120,70){\vector(0,-1){30}}
+ \put(80,10){\framebox(80,30){Output}}
+
+ \Thicklines
+ \put(20,370){\framebox(80,30){\shortstack{LINE or\\SEQUENCE}}}
+ \put(140,370){\framebox(80,30){BEAM}}
+ \put(320,310){\framebox(80,30){Error Command}}
+ \put(320,235){\framebox(80,30){Table Command}}
+ \put(320,160){\framebox(80,30){Match Command}}
+ \put(320,85){\framebox(80,30){LIST Command}}
+ \end{picture}
+ \caption{Schematic view of the Interaction between Objects in \opal}
+ \label{fig:tables}
+ \end{center}
+\end{figure}
+
+\section{Element Selection}
+\label{sec:select}
+\index{Element!Selection}
+\index{Select!Element}
+
+Many \opal commands allow for the possibility to process
+a subset of the elements occurring in a beam line \seechp{lines}.
+For this purpose each beam line \seechp{lines} and
+table \seechp{tables} has a selection flag for each element.
+The \texttt{SELECT} command may be used to manipulate these flags.
+It affects the following commands:
+\begin{itemize}
+\item {EALIGN} \seesec{erroralign},
+\item {EFIELD} \seesec{errorfield},
+\item {EFCOM} \seesec{errorfield},
+\item {EPRINT} \seesec{errorprint},
+\item {ESAVE} \seesec{errorsave},
+\item {SURVEY} \seesec{survey},
+\item {TWISS} \seesec{twiss},
+\item {ATTLIST} \seesec{attlist},
+\item {LIST} \seesec{list},
+\item {EIGEN} \seesec{canned},
+\item {ENVELOPE} \seesec{canned},
+\item {MATRIX} \seesec{canned},
+\item {TWISS3} \seesec{canned}.
+\end{itemize}
+Three formats are recognised for the command:
+\begin{verbatim}
+SELECT,LINE=name, FULL;
+SELECT,LINE=name, CLEAR;
+SELECT,LINE=name, RANGE=range, CLASS=name, TYPE=name,
+ PATTERN=regular_expression;
+\end{verbatim}
+\index{SELECT}
+All three forms require the parameter
+\begin{kdescription}
+\item[LINE]
+ The label of a previously defined beam line \seechp{lines} or
+ table \seechp{tables} on which the selection is to be done (no default).
+\end{kdescription}
+The first format sets the selection flag for all elements in the beam line
+and the second format clears the selection flags for all elements.
+
+The third format keeps all existing selections and additionally marks those
+elements as selected which belong to the intersection of the following four
+sets:
+\begin{kdescription}
+\item[RANGE]
+ If \texttt{RANGE} is omitted, the first set contains all elements;
+ if it is given, the first set is limited to the named range in the line.
+ The default is equivalent to \texttt{RANGE=\#S/\#E}.
+\item[CLASS]
+ The {label} \seesec{label} of an element class (default: blank).
+ If \texttt{CLASS} is omitted, the second set contains all elements;
+ if it is given, the set contains only the elements derived directly or
+ indirectly from the named class.
+\item[TYPE]
+ If \texttt{TYPE} is omitted, the third set contains all elements;
+ if it is given, the set contains only the elements whose \texttt{TYPE}
+ attribute is equal to the given name.
+\item[PATTERN]
+ If \texttt{PATTERN} is omitted, the fourth set contains all elements;
+ if it is given, the {regular expression} \seesec{wildcard}
+ is applied to all element names, and the set contains only the matching
+ elements.
+\end{kdescription}
+The effect of subsequent \texttt{SELECT} commands produces the union of all
+selections.
+If a fresh selection is desired, precede the new \texttt{SELECT} command
+with the command
+\begin{verbatim}
+SELECT,LINE=name,CLEAR;
+\end{verbatim}
+Example:
+\begin{verbatim}
+SELECT,LINE=X, RANGE=IP1/IP2; // (1)
+SELECT,LINE=X, CLASS=BB; // (2)
+SELECT,LINE=X, PATTERN=".*\.L1"; // (3)
+SELECT,LINE=X, RANGE=IP1/IP2,CLASS=BB,
+ PATTERN=".*\.L1"; // (4)
+SELECT,LINE=LHC, CLASS=IP; // (5)
+T:TWISS,LINE=LHC; // (6)
+SELECT,LINE=T ,CLASS=QUADRUPOLE; // (7)
+TWISS3,TABLE=T, FILE=name; // (8)
+U:TWISS,LINE=LHC; // (9)
+\end{verbatim}
+Command (1) selects all elements from \texttt{IP}1 to \texttt{IP2},
+both included.
+Command (2) selects all elements in the ring which belong to or are
+derived from class \texttt{BB}.
+Command (3) selects all elements in the ring whose names end \texttt{.L1}.
+Command (4) is the most restrictive, it selects all elements
+between \texttt{IP1} and \texttt{IP2} which are derived from class
+\texttt{BB} and whose names end in \texttt{.L1}.
+
+Command (5) sets the selections flags on all interaction points in
+line \texttt{LHC}.
+The selection is transmitted to command (6), which generates the
+\texttt{TWISS} table \texttt{T} lists the default columns for the
+interaction points.
+Command (7) sets additional selection flags on the table \texttt{T}
+for all quadrupoles,
+and command (8) lists the Mais-Ripken functions for all interaction
+points and all quadrupoles.
+Command (9) gets the selection from line \texttt{LHC}, i.~e. the
+selection concerns only the interaction points.
+
+\section{Attach Special Integrators}
+\label{sec:setint}
+\index{SETINTEGRATOR}
+\index{Integrator}
+
+By default the algorithm applied to each element in the machine is
+defined by the table command.
+It may be overridden for selected elements by applying a \texttt{SETINTEGRATOR}
+command to attach a special integrator.
+It has the form
+\begin{verbatim}
+SETINTEGRATOR, LINE=name, TYPE=name, SLICES=integer;
+\end{verbatim}
+with the meaning
+\begin{kdescription}
+\item[LINE]
+ The name of the beam line to be affected.
+\item[TYPE]
+ The integrator type name.
+ For the time being, only the name \\
+ \texttt{MPSPLITINTEGRATOR} is known.
+ \index{MPSPLITINTEGRATOR}
+ This integrator type replaces any multipole-like element (dipole,
+ quadrupole, sextupole, octupole, general multipole) by one or
+ several thin lenses.
+\item[SLICES]
+ The number of thin lenses to be used.
+ For one to four slices, the TEAPOT method of thin multipole slicing
+ \index{TEAPOT}
+ is used, for more slices, the thin lenses are placed in equidistant
+ places.
+\end{kdescription}
+The command runs through all elements in the beam line,
+and attaches an integrator as specified by \texttt{TYPE} to all
+selected elements.
+
+
+\section{Compute Geometric Layout}
+\label{sec:survey}
+\index{SURVEY}
+
+The \texttt{SURVEY} command builds a table containing the geometric layout
+of the machine.
+The table can be referred to by its label for later manipulation.
+It has the following read/write attributes:
+\begin{verbatim}
+label:SURVEY, LINE=name, RANGE=range, REVERSE=logical,
+ STATIC=logical, X0=real, Y0=real, Z0=real,
+ THETA0=real, PHI0=real, PSI0=real;
+label:SURVEY, LINE=name, RANGE=range, REVERSE=logical,
+ STATIC=logical, INIT=table-row;
+\end{verbatim}
+Its parameter list specifies the initial position and orientation
+of the reference orbit in the global coordinate system \seefig{global}
+$(X,Y,Z)$.
+Omitted attributes assume zero values.
+Valid attributes are:
+\begin{kdescription}
+\item[LINE]
+ The label of a previously defined beam line (no default).
+\item[RANGE]
+ If this attribute is given, the table is restricted to the range given.
+\item[STATIC]
+ If this attribute is true, the table is filled at definition time,
+ and it is then treated as frozen, even if parameters of the machine change.
+\item[INIT]
+ If this attribute is given, the initial position and direction is taken
+ from the specified row of another \texttt{SURVEY} table.
+ If this attribute is omitted, the initial position and direction is
+ constructed from the attributes listed below.
+\item[X0]
+ The initial X coordinate [m].
+\item[Y0]
+ The initial Y coordinate [m].
+\item[Z0]
+ The initial Z coordinate [m].
+\item[THETA0]
+ The initial angle theta [rad].
+\item[PHI0]
+ The initial angle phi [rad].
+\item[PSI0]
+ The initial angle psi [rad].
+\end{kdescription}
+
+Example:
+\begin{verbatim}
+GEOMETRY:SURVEY, LINE=RING;
+\end{verbatim}
+This example computes the machine layout for the line \texttt{RING} with
+zero initial conditions and saves the result under the name
+\texttt{GEOMETRY}.
+
+The \texttt{SURVEY} table has some read-only attributes \seetab{survey_glob}:
+\begin{table}[Ht] \footnotesize
+ \begin{center}
+ \caption{Global read-only values in a \texttt{SURVEY} table}
+ \label{tab:survey_glob}
+ \begin{tabular}{|l|l|l|}
+ \hline
+ Variable & Unit & Name \\
+ \hline
+ Total arc length & m & \texttt{L}\index{L} \\
+ Final X coordinate & m & \texttt{X}\index{X} \\
+ Final Y coordinate & m & \texttt{Y}\index{Y} \\
+ Final Z coordinate & m & \texttt{Z}\index{Z} \\
+ Final angle theta & rad & \texttt{THETA}\index{THETA} \\
+ Final angle phi & rad & \texttt{PHI}\index{PHI} \\
+ Final angle psi & rad & \texttt{PSI}\index{PSI} \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+In each position there are table values \seetab{survey_col},
+each of which is accessible with the syntax \seesec{acell}
+\begin{verbatim}
+table-name "@" place "->" column-name
+\end{verbatim}
+The azimuth, elevation angle, and roll angle are defined as the
+components of a vector.
+This vector points in the direction of the rotation axis and has the
+rotation angle as its length.
+The direction cosines are the components of the unit vectors along the
+local coordinate axes, expressed in the global coordinate system.
+
+\begin{table}[Ht] \footnotesize
+ \begin{center}
+ \caption{Column values available in a \texttt{SURVEY} table}
+ \label{tab:survey_col}
+ \begin{tabular}{|l|l|l|}
+ \hline
+ Variable & Unit & Name \\
+ \hline
+ Arc length from beginning & m & \texttt{S}\index{S} \\
+ Global X coordinate & m & \texttt{X}\index{X} \\
+ Global Y coordinate & m & \texttt{Y}\index{Y} \\
+ Global Z coordinate & m & \texttt{Z}\index{Z} \\
+ Azimuth & rad & \texttt{THETA}\index{THETA} \\
+ Elevation angle & rad & \texttt{PHI}\index{PHI} \\
+ Roll angle & rad & \texttt{PSI}\index{PSI} \\
+ \hline
+ \end{tabular}
+
+ \begin{tabular}{|l|l|l|l|}
+ \hline
+ Direction cosines for local axes & \multicolumn{3}{c|}{Local axis} \\
+ Global direction & \texttt{x} & \texttt{y} & \texttt{s} \\
+ \hline
+ \texttt{X} & \texttt{W11}\index{W11} &
+ \texttt{W12}\index{W12} & \texttt{W13}\index{W13} \\
+ \texttt{Y} & \texttt{W21}\index{W21} &
+ \texttt{W22}\index{W22} & \texttt{W23}\index{W23} \\
+ \texttt{Z} & \texttt{W31}\index{W31} &
+ \texttt{W32}\index{W32} & \texttt{W33}\index{W33} \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+\clearpage
+The default column set for the command
+{LIST,ALL} \seesec{list} contains the element name,
+the arc length, the global positions and the three angles.
+
+\section{Orbit Threader}
+\label{sec:thread}
+\index{Orbit Threader}
+\index{THREADBPM}
+\index{Threader}
+When the closed orbit search in a {MICADO} \seesec{micado} or
+{TWISS} \seesec{twiss} command fails due to machine imperfections,
+it may be possible to thread the orbit through the machine using the command
+\begin{verbatim}
+THREADBPM,LINE=name, BEAM=name, RANGE=range, TOL=real,
+ LISTC=logical, LISTM=logical;
+\end{verbatim}
+This command has the attributes:
+\begin{kdescription}
+\item[LINE]
+ The label of a previously defined beam line (no default).
+\item[BEAM]
+ The label of a previously defined beam (default \texttt{UNNAMED\_BEAM}).
+ This is used to define the type and reference momentum for the
+ particles to be sent through the line.
+\item[RANGE]
+ If this attribute is given, the table is restricted to the range given.
+\item[TOL]
+ The orbit is observed at all beam position monitors (BPM).
+ When the orbit deviation exceeds \texttt{TOL},
+ a correction is attempted.
+ \opal backtracks to find another monitor and two correctors and tunes the
+ latter so as to adjust the readings of the two monitors to zero.
+\item[LISTC]
+ If true, list the corrector settings after correction.
+\item[LISTM]
+ If true, list the monitor readings after correction.
+\end{kdescription}
+
+\section{Closed Orbit Correction}
+\label{sec:micado}
+\index{MICADO}
+\index{Closed Orbit}
+\index{Orbit Correction}
+Closed orbit correction with the MICADO algorithm is initiated by the command
+\begin{verbatim}
+MICADO,LINE=name, BEAM=name, RANGE=range, METHOD=name,
+ TOL=real, ITERATIONS=integer, CORRECTORS=integer,
+ PLANE=name, LISTC1=logical, LISTM1=logical,
+ LISTC2=logical, LISTM2=logical;
+\end{verbatim}
+This command has the attributes:
+\begin{kdescription}
+\item[LINE]
+ The label of a previously defined beam line (no default).
+\item[BEAM]
+ The label of a previously defined beam (default \texttt{UNNAMED\_BEAM}).
+ This is used to define the type and reference momentum for the
+ particles to be sent through the line.
+\item[RANGE]
+ If this attribute is given, the table is restricted to the range given.
+\item[METHOD]
+ This attribute specifies the method to be used for tracking the orbit.
+ Known names are:
+ \begin{kdescription}
+ \item[THIN]
+ Use thin lens approximations.
+ \item[LINEAR]
+ Use linear map approximation (around the closed orbit).
+ This is the default.
+ \item[THICK]
+ Use finite-length lenses.
+ \end{kdescription}
+\item[CORRECTORS]
+ The maximum number of correctors to be used in each iteration.
+\item[TOL]
+ The tolerance for the r.m.s. closed orbit.
+\item[ITERATIONS]
+ The number of iterations desired.
+ When this number is zero,
+ the orbit is only checked but not corrected.
+ Each iteration is terminated when the imposed number of correctors has been
+ used or when the tolerance is reached.
+\item[PLANE]
+ The plane to be corrected.
+ Known names are:
+ \begin{kdescription}
+ \item[X]
+ Correct the horizontal plane only.
+ \item[Y]
+ Correct the vertical plane only.
+ \item[BOTH]
+ Correct both planes (default).
+ \end{kdescription}
+\item[LISTC1]
+ If true, list the corrector settings before each iteration.
+\item[LISTM1]
+ If true, list the monitor readings after each iteration.
+\item[LISTC2]
+ If true, list the corrector settings after correction.
+\item[LISTM2]
+ If true, list the monitor readings after correction.
+\end{kdescription}
+
+\section{Lattice Function Tables}
+\label{sec:twiss}
+\index{Lattice Functions}
+\index{TWISS}
+\index{TWISSTRACK}
+
+Two commands are available to generate tables of lattice functions:
+\begin{verbatim}
+TWISS,LINE=name, BEAM=name, RANGE=range, STATIC=logical,
+ METHOD= name, REVBEAM=logical, REVTRACK=logical;
+TWISSTRACK,BEAM=name, RANGE=range, STATIC=logical,
+ METHOD= name, INIT=table-row, REVBEAM=logical,
+ REVTRACK=logical;
+\end{verbatim}
+
+Either command builds a ``twiss'' table containing the lattice functions for
+a range of a previously defined beam line \seechp{lines}.
+The first command, \texttt{TWISS}, uses the periodic solution for that
+range, while the second command, \texttt{TWISSTRACK} a selected line
+of another twiss table.
+The table can be referred to by its label for later manipulation.
+Both commands have the following read/write attributes:
+\begin{kdescription}
+\item[LINE]
+ The label of a previously defined beam line (no default).
+\item[BEAM]
+ The label of a previously defined beam (default \texttt{UNNAMED\_BEAM}).
+ This is used to define the type and reference momentum for the
+ particles to be sent through the line.
+\item[RANGE]
+ If this attribute is given, the table is restricted to the range given.
+\item[STATIC]
+ If this attribute is true, the table is filled at definition time,
+ and it is then treated as frozen, even if parameters of the machine change.
+\item[METHOD]
+ This attribute specifies the method to be used for filling the table.
+ Known names are:
+ \begin{kdescription}
+ \item[THIN]
+ Use thin lens approximations.
+ \item[LINEAR]
+ Use linear map approximation (around the closed orbit).
+ This is the default.
+ \item[THICK]
+ Use finite-length lenses.
+ \end{kdescription}
+\item[REVBEAM]
+ If true, the beam is assumed to run backwards through the beam line
+ (from $s=C$ to $s=0$).
+\item[REVTRACK]
+ If true, the calculation proceeds in the direction opposite to the beam
+ direction.
+ This attribute may be used in matching, when tracking lattice
+ functions from a known position back to a position to be used to
+ adjust an insertion.
+\end{kdescription}
+The \texttt{TWISS} command has the following read-only attributes:
+\begin{kdescription}
+\item[L]
+ The total arc length [m].
+\item[FREQ0]
+ The computed revolution frequency in MHz.
+\item[QX]
+ The computed tune for mode 1.
+\item[QY]
+ The computed tune for mode 2.
+\item[QS]
+ The computed tune for mode 3.
+\item[U0]
+ The computed energy loss per turn [MeV].
+\item[JX]
+ The computed damping partition number for mode 1.
+\item[JY]
+ The computed damping partition number for mode 2.
+\item[JE]
+ The computed damping partition number for mode 3.
+\end{kdescription}
+The values related to damping exist only when the flag \texttt{DAMP}
+has been set.
+
+The \texttt{TWISSTRACK} can be initialised by the following attribute:
+\begin{kdescription}
+\item[INIT]
+ If this attribute is given, the initial position and direction is taken
+ from the specified row of another \texttt{TWISS} table.
+\end{kdescription}
+
+Example:
+\begin{verbatim}
+LATFUN:TWISS, LINE=CELL;
+\end{verbatim}
+This example computes the lattice functions for \texttt{CELL} with
+zero initial conditions and saves the result under the name
+\texttt{LATFUN}.
+
+A table generated by \texttt{TWISS} (not \texttt{TWISSTRACK})
+also has some read-only attributes \seetab{twiss-glob}:
+\begin{table}[Ht] \footnotesize
+ \begin{center}
+ \caption{Global read-only values in a \texttt{TWISS} table}
+ \label{tab:twiss-glob}
+ \begin{tabular}{|l|l|l|}
+ \hline
+ Variable & Unit & Name \\
+ \hline
+ Revolution frequency & Hz & \texttt{FREQ}\index{FREQ} \\
+ Tune for mode 1 & 1 & \texttt{QX}\index{QX} \\
+ Tune for mode 2 & 1 & \texttt{QY}\index{QY} \\
+ Tune for mode 3 & 1 & \texttt{QS}\index{QS} \\
+ Energy loss per turn & MeV & \texttt{U0}\index{U0} \\
+ Damping partition number for mode 1 & 1 & \texttt{JX}\index{JX} \\
+ Damping partition number for mode 2 & 1 & \texttt{JY}\index{JY} \\
+ Damping partition number for mode 3 & 1 & \texttt{JE}\index{JE} \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+In each the \texttt{TWISS} table stores the closed orbit and the
+transfer map from the beginning to this position.
+Several column values \seetab{twiss-col},
+as well as the eigenvectors \seetab{twiss-eig},
+second moments \seetab{twiss-sig},
+and transfer matrices \seetab{twiss-mat} can be derived from this
+information
+These quantities are accessible with the syntax \seesec{acell}
+\begin{verbatim}
+table-name "@" place "->" column-name
+\end{verbatim}
+
+\begin{table}[Ht] \footnotesize
+ \begin{center}
+ \caption{Column values in a \texttt{TWISS} table}
+ \label{tab:twiss-col}
+ \begin{tabular}{|l|l|l|}
+ \hline
+ Variable & Unit & Name \\
+ \hline
+ Arc length from beginning & m & \texttt{S}\index{S} \\
+ \hline
+ Horizontal position for closed orbit & m & \texttt{XC}\index{XC} \\
+ Horizontal momentum for closed orbit & 1 & \texttt{PXC}\index{PXC} \\
+ Vertical position for closed orbit & m & \texttt{YC}\index{YC} \\
+ Vertical momentum for closed orbit & 1 & \texttt{PYC}\index{PYC} \\
+ Longitudinal position for closed orbit & m & \texttt{TC}\index{TC} \\
+ Longitudinal momentum for closed orbit & 1 & \texttt{PTC}\index{PTC} \\
+ \hline
+ Dispersion for horizontal position & m & \texttt{DX}\index{DX} \\
+ Dispersion for horizontal momentum & 1 & \texttt{DPX}\index{DPX} \\
+ Dispersion for vertical position & m & \texttt{DY}\index{DY} \\
+ Dispersion for vertical momentum & 1 & \texttt{DPY}\index{DPY} \\
+ Dispersion for longitudinal position & m & \texttt{DT}\index{DT} \\
+ Dispersion for longitudinal momentum & 1 & \texttt{DPT}\index{DPT} \\
+ \hline
+ \end{tabular}
+
+ \begin{tabular}{|l|l|l|l|l|}
+ \hline
+ & & \multicolumn{3}{c|}{Plane} \\
+ Courant-Snyder Functions & Unit & \texttt{X} & \texttt{Y} & \texttt{T} \\
+ \hline
+ Beta-function & m & \texttt{BETX}\index{BETX} &
+ \texttt{BETY}\index{BETY} & \texttt{BETT}\index{BETT} \\
+ Alpha-function & 1 & \texttt{ALFX}\index{ALFX} &
+ \texttt{ALFY}\index{ALFY} & \texttt{ALFT}\index{ALFT} \\
+ Phase & 1 & \texttt{MUX}\index{MUX} &
+ \texttt{MUY}\index{MUY} & \texttt{MUT}\index{MUT} \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+\begin{table}[Ht] \footnotesize
+ \begin{center}
+ \caption{Mais-Ripken Functions in a \texttt{TWISS} table}
+ \label{tab:twiss-col-mais}
+ \begin{tabular}{|l|l|l|l|l|l|}
+ \hline
+ & & &
+ \multicolumn{3}{c|}{Plane} \\
+ Mais-Ripken Functions & Unit & Mode &
+ \texttt{X} & \texttt{Y} & \texttt{T} \\
+ \hline
+ & & 1 &
+ \texttt{BETX1}\index{BETX1} & \texttt{BETY1}\index{BETY1} &
+ \texttt{BETT1}\index{BETT1} \\
+ Beta-function & m & 2 &
+ \texttt{BETX2}\index{BETX2} & \texttt{BETY2}\index{BETY2} &
+ \texttt{BETT2}\index{BETT2} \\
+ & & 3 &
+ \texttt{BETX3}\index{BETX3} & \texttt{BETY3}\index{BETY3} &
+ \texttt{BETT3}\index{BETT3} \\
+ \hline
+ & & 1 &
+ \texttt{ALFX1}\index{ALFX1} & \texttt{ALFY1}\index{ALFY1} &
+ \texttt{ALFT1}\index{ALFT1} \\
+ Alpha-function & 1 & 2 &
+ \texttt{ALFX2}\index{ALFX2} & \texttt{ALFY2}\index{ALFY2} &
+ \texttt{ALFT2}\index{ALFT2} \\
+ & & 3 &
+ \texttt{ALFX3}\index{ALFX3} & \texttt{ALFY3}\index{ALFY3} &
+ \texttt{ALFT3}\index{ALFT3} \\
+ \hline
+ & & 1 &
+ \texttt{GAMX1}\index{GAMX1} & \texttt{GAMY1}\index{GAMY1} &
+ \texttt{GAMT1}\index{GAMT1} \\
+ Gamma-function & 1/m & 2 &
+ \texttt{GAMX2}\index{GAMX2} & \texttt{GAMY2}\index{GAMY2} &
+ \texttt{GAMT2}\index{GAMT2} \\
+ & & 3 &
+ \texttt{GAMX3}\index{GAMX3} & \texttt{GAMY3}\index{GAMY3} &
+ \texttt{GAMT3}\index{GAMT3} \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+\clearpage
+The Courant-Snyder lattice functions are calculated in a way analogous
+\index{Courant-Snyder}
+to the lattice functions given by \bibref{Edwards and Teng}{edwards}.
+\index{Edwards-Teng}
+After partitioning the eigenvector matrix into two~by~two blocks it
+can be factored as
+\[
+E = \left(
+ \begin{array}{lll}
+ E_{11} & E_{12} & E_{13} \\
+ E_{21} & E_{22} & E_{23} \\
+ E_{31} & E_{32} & E_{33}
+ \end{array}
+\right) = R W = \left(
+ \begin{array}{lll}
+ r_1 I & R_{12} & R_{13} \\
+ R_{21} & r_2 I & R_{23} \\
+ R_{31} & R_{32} & r_3 I
+ \end{array}
+\right) \left(
+ \begin{array}{lll}
+ W_1 & 0 & 0 \\ 0 & W_2 & 0 \\ 0 & 0 & W_3
+ \end{array}
+\right),
+\]
+where the $r_i$ are scalars and $R$ and $W$ are symplectic matrices.
+This implies
+\[
+r_i = \sqrt{|R_{ii}|}, \qquad
+W_i = R_{ii} / r_i \rightarrow |W_i| = 1, \qquad
+R_{ik} = E_{ik} W_i^{-1}.
+\]
+The lattice functions are calculated from the diagonal blocks $W_i$.
+Note that the matrix $R$ which defines the coupling between planes is
+not available for output,
+and that the formalism breaks down when $r_i=0$.
+The default column set contains the element name,
+the arc length, the beta, alpha and mu functions for the transverse
+planes,
+the closed orbit position, and the horizontal dispersion.
+
+The Mais-Ripken functions have been introduced by
+\index{Mais-Ripken}
+\bibref{Mais and Ripken}{mais}.
+
+The second moments (beam envelope) are defined in the sense of
+\bibref{TRANSPORT}{transport}:
+\index{Second Moments}
+\index{Beam Envelope}
+\[
+ \Sigma_{ik} = E_x ( E_{i1} E_{k1} + E_{i2} E_{k2}) +
+ E_y ( E_{i3} E_{k3} + E_{i4} E_{k4}) +
+ E_t ( E_{i5} E_{k5} + E_{i6} E_{k6}).
+\]
+
+\begin{table}[Ht] \footnotesize
+ \begin{center}
+ \caption{Eigenvector components in a \texttt{TWISS} table}
+ \label{tab:twiss-eig}
+ \begin{tabular}{|l|l|l|l|l|l|l|l|}
+ \hline
+ Eigenvector & &
+ \multicolumn{2}{c|}{Mode 1} &
+ \multicolumn{2}{c|}{Mode 2} &
+ \multicolumn{2}{c|}{Mode 3} \\
+ Component & Unit & real & imag & real & imag & real & imag \\
+ \hline
+ X-component & m &
+ \texttt{E11}\index{E11} & \texttt{E12}\index{E12} &
+ \texttt{E13}\index{E13} & \texttt{E14}\index{E14} &
+ \texttt{E15}\index{E15} & \texttt{E16}\index{E16} \\
+ PX-component & 1 &
+ \texttt{E21}\index{E21} & \texttt{E22}\index{E22} &
+ \texttt{E23}\index{E23} & \texttt{E24}\index{E24} &
+ \texttt{E25}\index{E25} & \texttt{E26}\index{E26} \\
+ Y-component & m &
+ \texttt{E31}\index{E31} & \texttt{E32}\index{E32} &
+ \texttt{E33}\index{E33} & \texttt{E34}\index{E34} &
+ \texttt{E35}\index{E35} & \texttt{E36}\index{E36} \\
+ PY-component & 1 &
+ \texttt{E41}\index{E41} & \texttt{E42}\index{E42} &
+ \texttt{E43}\index{E43} & \texttt{E44}\index{E44} &
+ \texttt{E45}\index{E45} & \texttt{E46}\index{E46} \\
+ T-component & m &
+ \texttt{E51}\index{E51} & \texttt{E52}\index{E52} &
+ \texttt{E53}\index{E53} & \texttt{E54}\index{E54} &
+ \texttt{E55}\index{E55} & \texttt{E56}\index{E56} \\
+ PT-component & 1 &
+ \texttt{E61}\index{E61} & \texttt{E62}\index{E62} &
+ \texttt{E63}\index{E63} & \texttt{E64}\index{E64} &
+ \texttt{E65}\index{E65} & \texttt{E66}\index{E66} \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\begin{table}[Ht] \footnotesize
+ \begin{center}
+ \caption{Second moments \texttt{<X1,X2>} in a \texttt{TWISS} table}
+ \label{tab:twiss-sig}
+ \begin{tabular}{|l|l|l|l|l|l|l|}
+ \hline
+ Second moment & \multicolumn{6}{c|}{Second variable \texttt{X2}} \\
+ First variable \texttt{X1} & \texttt{X} & \texttt{PX} &
+ \texttt{Y} & \texttt{PY} & \texttt{T} & \texttt{PT} \\
+ \hline
+ \texttt{X} &
+ \texttt{S11}\index{S11} & \texttt{S12}\index{S12} &
+ \texttt{S13}\index{S13} & \texttt{S14}\index{S14} &
+ \texttt{S15}\index{S15} & \texttt{S16}\index{S16} \\
+ \texttt{PX} &
+ \texttt{S21}\index{S21} & \texttt{S22}\index{S22} &
+ \texttt{S23}\index{S23} & \texttt{S24}\index{S24} &
+ \texttt{S25}\index{S25} & \texttt{S26}\index{S26} \\
+ \texttt{Y} &
+ \texttt{S31}\index{S31} & \texttt{S32}\index{S32} &
+ \texttt{S33}\index{S33} & \texttt{S34}\index{S34} &
+ \texttt{S35}\index{S35} & \texttt{S36}\index{S36} \\
+ \texttt{PY} &
+ \texttt{S41}\index{S41} & \texttt{S42}\index{S42} &
+ \texttt{S43}\index{S43} & \texttt{S44}\index{S44} &
+ \texttt{S45}\index{S45} & \texttt{S46}\index{S46} \\
+ \texttt{T} &
+ \texttt{S51}\index{S51} & \texttt{S52}\index{S52} &
+ \texttt{S53}\index{S53} & \texttt{S54}\index{S54} &
+ \texttt{S55}\index{S55} & \texttt{S56}\index{S56} \\
+ \texttt{PT} &
+ \texttt{S61}\index{S61} & \texttt{S62}\index{S62} &
+ \texttt{S63}\index{S63} & \texttt{S64}\index{S64} &
+ \texttt{S65}\index{S65} & \texttt{S66}\index{S66} \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\begin{table}[Ht] \footnotesize
+ \begin{center}
+ \caption{Transfer matrix elements \texttt{(X2,X1)} in a \texttt{TWISS} table}
+ \label{tab:twiss-mat}
+ \begin{tabular}{|l|l|l|l|l|l|l|}
+ \hline
+ Matrix Element & \multicolumn{6}{c|}{Second variable \texttt{X2}} \\
+ First variable \texttt{X1} & X & PX & Y & PY & T & PT \\
+ \hline
+ \texttt{X} &
+ \texttt{R11}\index{R11} & \texttt{R12}\index{R12} &
+ \texttt{R13}\index{R13} & \texttt{R14}\index{R14} &
+ \texttt{R15}\index{R15} & \texttt{R16}\index{R16} \\
+ \texttt{PX} &
+ \texttt{R21}\index{R21} & \texttt{R22}\index{R22} &
+ \texttt{R23}\index{R23} & \texttt{R24}\index{R24} &
+ \texttt{R25}\index{R25} & \texttt{R26}\index{R26} \\
+ \texttt{Y} &
+ \texttt{R31}\index{R31} & \texttt{R32}\index{R32} &
+ \texttt{R33}\index{R33} & \texttt{R34}\index{R34} &
+ \texttt{R35}\index{R35} & \texttt{R36}\index{R36} \\
+ \texttt{PY} &
+ \texttt{R41}\index{R41} & \texttt{R42}\index{R42} &
+ \texttt{R43}\index{R43} & \texttt{R44}\index{R44} &
+ \texttt{R45}\index{R45} & \texttt{R46}\index{R46} \\
+ \texttt{T} &
+ \texttt{R51}\index{R51} & \texttt{R52}\index{R52} &
+ \texttt{R53}\index{R53} & \texttt{R54}\index{R54} &
+ \texttt{R55}\index{R55} & \texttt{R56}\index{R56} \\
+ \texttt{PT} &
+ \texttt{R61}\index{R61} & \texttt{R62}\index{R62} &
+ \texttt{R63}\index{R63} & \texttt{R64}\index{R64} &
+ \texttt{R65}\index{R65} & \texttt{R66}\index{R66} \\
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\section{Listing Element Attributes}
+\label{sec:attlist}
+\index{ATTLIST}
+\index{List|(}
+Most element attributes can be listed for a beam line or table.
+The elements for which the attributes should be listed are selected
+by a {SELECT} command \seesec{select}.
+The attributes are specified by the command
+\begin{verbatim}
+ATTLIST,LINE=name, FILE=name,
+ COLUMN={string,string,...,string};
+\end{verbatim}
+Most element attributes can be listed as columns.
+At present, \opal does not recognize \texttt{ATTRIBUTES} or attributes
+of a \texttt{BEAMBEAM} element.
+Example:
+\begin{verbatim}
+SELECT, LINE=LIN1, FULL;
+ATTLIST, LINE=LIN1, FILE=TERM,
+ COLUMN={NAME,CLASS,KEYWORD,TYPE,LENGTH,K0L,UNKNOWN};
+\end{verbatim}
+This may produce the following output:
+\begin{verbatim}
+@ TYPE %s ATTRIBUTE
+@ LINE %s LIN1
+@ DATE %s 11/10/1999
+@ TIME %s 14.08.14
+@ ORIGIN %s OPAL_9.3
+@ COMMENT %s ""
+* NAME CLASS KEYWORD TYPE L K0L UNKNOWN
+$ %s %s %s %s %le %le %le
+ #S MARKER MARKER Null 0 0 0
+ L4 DRIFT DRIFT Null 1.57 0 0
+ B1 RBEND RBEND Null 35.09 0.0113061 0
+ L2 DRIFT DRIFT Null 0.56 0 0
+ SF SEXT SEXTUPOLE Null 0.4 0 0
+ L3 DRIFT DRIFT Null 0.28 0 0
+ QF QUAD QUADRUPOLE MQ 1.6 0 0
+ L1 DRIFT DRIFT Null 1.21 0 7
+ B1 RBEND RBEND Null 35.09 0.0113061 0
+ L2 DRIFT DRIFT Null 0.56 0 0
+ SD SEXT SEXTUPOLE Null 0.76 0 0
+ L3 DRIFT DRIFT Null 0.28 0 0
+ QD QUAD QUADRUPOLE MQ 1.6 0 0
+ #E MARKER MARKER Null 0 0 0
+\end{verbatim}
+As it can be seen, empty strings are printed as the word ``Null''.
+\clearpage
+\section{Listing a Table}
+\label{sec:list}
+Five commands exist which permit listing of a previously generated
+table.
+All of these have the option of printing on a file or on the terminal.
+
+\subsection{LIST Command}
+\index{LIST}
+The most general of these commans is
+\begin{verbatim}
+LIST,TABLE=name, FILE=name, ALL=logical,
+ COLUMN={expression,...,expression};
+\end{verbatim}
+The attributes of this command are:
+\begin{kdescription}
+\item[TABLE]
+ The name of the table to be listed (no default).
+ The rows to be listed can be selected by a
+ {SELECT} \seesec{select} command.
+\item[FILE]
+ The name of the file to be written (default \texttt{LIST}).
+ If the file name is \texttt{TERM}, output goes to the terminal.
+\item[ALL]
+ If true, the column selection is by default, and the column width
+ and precision is selected by \opal .
+ In this case \texttt{COLUMN} is ignored.
+\item[COLUMN]
+ A list of column descriptors.
+ Each column descriptor consists of a real expression \seesec{areal},
+ which may also contain one or more names of columns as operands.
+ If a name refers both to a column and to a global parameter,
+ the column takes precedence.
+ The expression may optionally be followed by a format indication of
+ the form:
+\begin{verbatim}
+:width
+:width:precision
+\end{verbatim}
+ Both \texttt{width} and \texttt{precision} are unsigned integers.
+ \texttt{width} denotes the column width in characters (default~12),
+ and \texttt{precision} controls the number of digits in the column
+ (default~\texttt{width}-4).
+\end{kdescription}
+Example:
+\begin{verbatim}
+list, table=su1, file=term, column={x,y,z,s*z:16:12};
+\end{verbatim}
+
+\subsection{``Canned'' List Commands}
+\label{sec:canned}
+Certain predefined column sets are obtainable with the commands
+\begin{verbatim}
+EIGEN, TABLE=name, FILE=name;
+ENVELOPE, TABLE=name, FILE=name;
+MATRIX, TABLE=name, FILE=name;
+TWISS3, TABLE=name, FILE=name;
+\end{verbatim}
+These commands provide the following output:
+\begin{kdescription}
+\item[EIGEN]
+ The name of the element, the arc length, the closed orbit,
+ and the eigenvectors \seetab{twiss-eig}.
+\item[ENVELOPE]
+ The name of the element, the arc length, the closed orbit,
+ and the beam envelope \seetab{twiss-sig}.
+\item[MATRIX]
+ The name of the element, the arc length, the closed orbit,
+ and the accumulated matrix \seetab{twiss-mat}.
+\item[TWISS3]
+ The name of the element, the arc length, the closed orbit,
+ and the Mais-Ripken functions \seetab{twiss-col}.
+\end{kdescription}
+The attributes of these commands are:
+\begin{kdescription}
+\item[TABLE]
+ The name of the table to be listed (no default).
+ The rows to be listed can be selected by a
+ {SELECT} \seesec{select} command.
+\item[FILE]
+ The name of the file to be written (default \texttt{LIST}).
+ If the file name is \texttt{TERM}, output goes to the terminal.
+\end{kdescription}
+
+\index{List|)}
+\index{Tables|)}
\ No newline at end of file
diff --git a/doc/user_guide/track.tex b/doc/user_guide/track.tex
new file mode 100755
index 0000000000000000000000000000000000000000..c64bc3c7736debca96d4e610b2df9ef38b2f7d21
--- /dev/null
+++ b/doc/user_guide/track.tex
@@ -0,0 +1,292 @@
+\input{header}
+
+\chapter{Tracking}
+\label{chp:track}
+\index{Tracking|(}
+
+\begin{table}[ht] \footnotesize
+ \begin{center}
+ \caption{Commands accepted in Tracking Mode}
+ \label{tab:trackcmd}
+ \begin{tabular}{|p{0.3\textwidth}|p{0.6\textwidth}|}
+ \hline
+ \tabhead{Command & Purpose}
+ \hline
+ \tabline[sec:trackmode]{TRACK}{Enter tracking mode}
+ \tabline[sec:trackmode]{LINE}{Label of \keyword{LINE} or \keyword{SEQUENCE}}
+ \tabline[sec:trackmode]{BEAM}{Label of \keyword{BEAM}}
+ \tabline[sec:trackmode]{T0}{Initial time}
+ \tabline[sec:trackmode]{DT}{Array of time step sizes for tracking}
+ \tabline[sec:trackmode]{MAXSTEPS}{Array of maximal number of time steps}
+ \tabline[sec:trackmode]{ZSTART}{z-location [m], from where to run simulation}
+ \tabline[sec:trackmode]{ZSTOP}{Array of z-location [m], after which the simulation switches to the next set of \keyword{DT}, \keyword{MAXSTEPS} and \keyword{ZSTOP}}
+ \tabline[sec:trackmode]{STEPSPERTURN}{Number of time steps per revolution period}
+ \tabline[sec:trackmode]{TIMEINTEGRATOR}{Defines the time integrator used in \opalcycl}
+ \tabline[sec:variable]{name=expression}{Parameter relation}
+% \tabline[sec:tracknoise]{NOISE}{& Define power supply ripple}
+ \ifthenelse{\boolean{ShowMap}}{\tabline[sec:trackstart]{START}{Define initial conditions}
+ \tabline[sec:tracksave]{TSAVE}{Save end conditions}}{}
+ \tabline[sec:trackrun]{RUN}{Run particles for specified number of turns or steps}
+ \tabline[sec:trackmode]{ENDTRACK}{Leave tracking mode}
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\section{Track Mode}
+\label{sec:trackmode}
+\index{TRACK}
+\index{ENDTRACK}
+
+Before starting to track, a beam line \seesec{line} \ifthenelse{\boolean{ShowMap}}{or
+sequence \seesec{sequence}}{} and a beam \seechp{beam} must be selected.
+The time step (\keyword{DT}) and the maximal steps to track (\keyword{MAXSTEPS}) or \keyword{ZSTOP} should be set. This command causes \opal to enter ``tracking mode'',
+in which it accepts only the track commands \seetab{trackcmd}. In order to preform several tracks, specify arrays of parameter
+in \keyword{DT}, \keyword{MAXSTEPS} and \keyword{ZSTOP}. This can be used to change the time step manually.
+
+
+The attributes of the command are:
+\begin{kdescription}
+\item[LINE]
+ The label of a preceding \keyword[sec:line]{LINE} \seesec{line}
+ \ifthenelse{\boolean{ShowMap}}{ or \keyword[sec:sequence]{SEQUENCE} \seesec{sequence}}{} (no default).
+\item[BEAM]
+ The named \keyword{BEAM} command defines the particle mass, charge
+ and reference momentum (default: \keyword{UNNAMED\_BEAM}).
+ \index{UNNAMED\_BEAM}
+\item[T0]
+ The initial time [\si{\second}] of the simulation, its default value is 0.
+\item[DT]
+ Array of time step sizes for tracking, default length of the array is 1 and its only value is \SI{1}{\pico\second}.
+\item[MAXSTEPS]
+ Array of maximal number of time steps, default length of the array is 1 and its only value is 10.
+\item[ZSTART]
+ Initial position of the reference particle along the reference trajectory, default position is \SI{0.0}{\meter}.
+\item[ZSTOP]
+ Array of z-locations [m], default length of the array is 1 and its only value is $1E6$ [m]. The simulation switches to the next set, $i+1$, of \keyword{DT}, \keyword{MAXSTEPS} and \keyword{ZSTOP} if either it has been tracking with the current set for more than $\text{\keyword{MAXSTEPS}}_i$ steps or the mean position has reached a z-position larger than $\text{\keyword{ZSTOP}}_i$. If set $i$ is the last set of the array then the simulation stops.
+
+ \item[TIMEINTEGRATOR]
+ Define the time integrator. Currently only available in \opalcycl.
+ The valid options are \keyword{RK-4}, \keyword{LF-2} and \keyword{MTS}:
+ \begin{kdescription}
+ \item[RK-4] the fourth-order Runge-Kutta integrator. This is the default integrator for \opalcycl.
+ \item[LF-2] the second-order Boris-Buneman (leapfrog-like) integrator.
+ Currently, \keyword{LF-2} is only available for multi-particles with/without space charge.
+ For single particle tracking and tune calculations, use the \keyword{RK-4} for the time being.
+ \item[MTS] the multiple-time-stepping integrator.
+ Considering that the space charge fields change much slower than the external fields in cyclotrons,
+ the space charge can be calculated less frequently than the external field interpolation, so as to reduce time to solution.
+ The outer step (determined by \keyword{STEPSPERTURN}) is used to integrate space charge effects.
+ A constant number of sub-steps per outer step is used to query external fields and to move the particles.
+ The number of sub-steps can be set with the option \keyword{MTSSUBSTEPS} and its default value is 1.
+ When using this integrator, the input file has to be rewritten in the units of the outer step.
+ For example, extracts of the input file suited for
+ \keyword{LF-2} or \keyword{RK-4} read
+\begin{example}
+Option, PSDUMPFREQ=100;
+Option, REPARTFREQ=20;
+Option, SPTDUMPFREQ=50;
+turns=5;
+nstep=3000;
+TRACK, LINE=l1, BEAM=beam1, MAXSTEPS=nstep*turns, STEPSPERTURN=nstep,
+TIMEINTEGRATOR="LF-2";
+ RUN, METHOD = "CYCLOTRON-T", BEAM=beam1, FIELDSOLVER=Fs1, DISTRIBUTION=Dist1;
+ENDTRACK;
+\end{example}
+and should be transformed to
+\begin{example}
+Option, MTSSUBSTEPS=10;
+Option, PSDUMPFREQ=10;
+Option, REPARTFREQ=2;
+Option, SPTDUMPFREQ=5;
+turns=5;
+nstep=300;
+TRACK, LINE=l1, BEAM=beam1, MAXSTEPS=nstep*turns, STEPSPERTURN=nstep,
+TIMEINTEGRATOR="MTS";
+ RUN, METHOD = "CYCLOTRON-T", BEAM=beam1, FIELDSOLVER=Fs1, DISTRIBUTION=Dist1;
+ENDTRACK;
+\end{example}
+In general all step quantities should be divided by MTSSUBSTEPS.
+
+In our first experiments on PSI injector II cyclotron, simulations with reduced
+space charge solving frequency by a factor of 10 lie still very close to the original solution.
+How large \keyword{MTSSUBSTEPS} can be chosen of course depends on the importance of space charge effects.
+ \end{kdescription}
+
+\item[STEPSPERTURN]
+ Number of time steps per revolution period. Only available for \opalcycl, default value is 720.
+
+\end{kdescription}
+
+\ifthenelse{\boolean{ShowMap}}{
+In \opalt and \opalmap, the command format is:
+\begin{example}
+TRACK, LINE=name, BEAM=name, MAXSTEPS=value, DT=value;
+\end{example}
+}{}
+
+In \opalcycl, instead of setting time step, the time steps per-turn should be set.
+The command format is:
+\begin{example}
+TRACK, LINE=name, BEAM=name, MAXSTEPS=value, STEPSPERTURN=value;
+\end{example}
+
+Particles are tracked in parallel i.e. the coordinates of all particles
+are transformed at each beam element as it is reached.
+
+\opal leaves \textbf{track mode} when it sees the command
+\begin{example}
+ ENDTRACK;
+\end{example}
+
+
+
+
+\subsection{Track a Random Machine} \label{sec:randmach}
+This example shows how to track a {\em random} machine i.e. some
+parameters are random variables. At the moment (Version 1.1.4) there seams to be a problem when
+having random variables in the Distribution command.
+\begin{example}
+Option, SCAN=TRUE;
+
+......
+
+I=0;
+WHILE (I < 3) {
+
+ rv1:= (RANF()*4.7);
+ rv2:=0.0;
+ rv3:=0.0;
+ rv4:=0.0;
+ rv5:=0.0;
+
+ Ppo: PepperPot, L=200.0E-6, ELEMEDGE=6.0E-3,
+ R=1.0E-4, PITCH=0.5E-4, NHOLX=20, NHOLY=20,
+ XSIZE=5.0E-3, YSIZE=5.0E-3, OUTFN="ppo.h5";
+
+ Col: ECollimator, L=3.0E-3, ELEMEDGE=7.0E-3,
+ XSIZE=7.5E-4, YSIZE=7.5E-4, OUTFN="Coll.h5";
+ SP1: Solenoid, L=1.20, ELEMEDGE=-0.5315,
+ FMAPFN="1T2.T7", KS=8.246e-05 + rv2;
+ SP2: Solenoid, L=1.20, ELEMEDGE=-0.397,
+ FMAPFN="1T3.T7", KS=1.615e-05 + rv3;
+ SP3: Solenoid, L=1.20, ELEMEDGE=-0.267,
+ FMAPFN="1T3.T7", KS=1.016e-05 + rv4;
+ SP4: Solenoid, L=1.20, ELEMEDGE=-0.157,
+ FMAPFN="1T3.T7", KS=4.750e-05 + rv5;
+ SP5: Solenoid, L=1.20, ELEMEDGE=-0.047,
+ FMAPFN="1T3.T7", KS=0.0;
+
+ gun: RFCavity, L=0.013, VOLT=(-47.51437343 + rv1),
+ FMAPFN="1T1.T7", ELEMEDGE=0.00,
+ TYPE="STANDING", FREQ=1.0e-6;
+
+ value,{I, rv1, rv2, rv3, rv4, rv5};
+
+ l1: Line=(gun, Ppo, sp1, sp2, sp3, sp4, sp5);
+
+ SELECT, Line=l1;
+ TRACK, line=l1, beam=beam1, MAXSTEPS=500, DT=2.0e-13;
+ RUN, method="PARALLEL-T", beam=beam1,
+ fieldsolver=Fs1, distribution:=Dist1;
+ ENDTRACK;
+
+ SYSTEM,"mkdir -p scan0-" & STRING(I);
+ SYSTEM,"mv scan-0.h5 scan-0.stat scan-0.lbal scan0-"
+ & STRING(I);
+ I=EVAL(I+1.0);
+}
+\end{example}
+
+
+\section{Track Particles}
+\label{sec:trackrun}
+\index{RUN}
+
+This command starts or continues the actual tracking:
+\begin{example}
+RUN, METHOD=string, FIELDSOLVER=label, DISTRIBUTION=label-vector, BEAM=label,
+FILE=string, TURNS=integer, MBMODE=string, PARAMB=float,
+BOUNDARYGEOMETRY=string, MULTIPACTING=logical, OBJECTIVES=string-vector;
+\end{example}
+The \texttt{RUN} command initialises tracking and uses the most recent
+particle bunch for initial conditions.
+The particle positions may be the result of previous tracking.
+
+Its attributes are:
+\begin{kdescription}
+\item[METHOD]
+ The name (a string, see \secref{astring}) of the tracking method to be used.
+ For the time being the following methods are known:
+ \begin{kdescription}
+ \ifthenelse{\boolean{ShowMap}}{
+ \item[THIN]
+ All elements are treated a s thin lenses.
+ This is the fastest of the known method which do not lump elements.
+ }{}
+ \item[PARALLEL-T]
+ This method puts \opal in \opalt mode \seechp{opalt}.
+ \item[CYCLOTRON-T]
+ This method puts \opal in \opalcycl mode \seechp{opalcycl}.
+ \item[STATISTICAL-ERRORS]
+ This is a method to let \opal run multiple times in parallel while adding imperfections to aligment and other physical quantities.
+ \end{kdescription}
+ \item[FIELDSOLVER]
+ The field solver to be used \seechp{fieldsolver}.
+
+ \item[DISTRIBUTION]
+ The particle distribution to be used \seechp{distribution}.
+
+ \item[BEAM]
+ The particle beam \seechp{beam} to be used is specified.
+
+ \item[FILE]
+ The name of the file to be writen (default="\texttt{track}").
+ \item[TURNS]
+ The number of turns (integer) to be tracked (default: 1, namely single bunch).
+
+ In \opalcycl, this parameter represents the number of bunches those will be injected into the cyclotron. In restart mode, the code
+ firstly read an attribute $NumBunch$ from $.h5$ file which records how many bunches have already been injected. If $NumBunch$
+ $<$ $TURNS$, the last $TURNS$$ -$ $NumBunch$ bunches will be injected in sequence by reading the initial distribution from $.h5$ file.
+
+ \item[MBMODE]
+ This defines which mode of multi-bunch runs. There are two options for it, namely, \texttt{AUTO} and \texttt{FORCE}.
+ See \secref{opalcycl:MultiBunch} for their explanations in detail.
+
+ For restarting run with \texttt{TURNS} larger than one, if the existing bunches of the read-in step is large than one,
+ the mode is forcely set to \texttt{FORCE}. Otherwise, it is forcely set to \texttt{AUTO}.
+
+ This argument is available for \opalcycl.
+
+ \item[PARAMB]
+ This is a control parameter to define when to start to transfer from single bunch to multi-bunches for \texttt{AUTO} mode (default: 5.0).
+
+ This argument is only available for \texttt{AUTO} mode multi-bunch run in \opalcycl.
+
+ \item[MULTIPACTING] \seechp{multpact}\TODO{Describe attribute}
+ \item[OBJECTIVES] An array of column names from the \filename{.stat} file used in \keyword{STATISTICAL-ERRORS} to compute mean value and standard deviation across all runs.
+\end{kdescription}
+Example:
+\begin{verbatim}
+run, file="table", turns=5, mbmode="AUTO", paramb=10.0,
+ method="CYCLOTRON-T", beam=beam1, fieldsolver=Fs1,
+ distribution=Dist1;
+\end{verbatim}
+
+This command tracks 5 bunches in cyclotron and writes the results on file \texttt{table}.
+
+\subsection{\keyword{STATISTICAL-ERRORS}}
+\label{ssec:statistical-errors}
+\index{STATISTICAL-ERRORS}
+This method can be used to quantify the effects of imperfections to alignment or other physical quantities such as e.g. the phase or the amplitude. It doesn't propagate the particles directly. Instead it scans through the input file and replaces all occurances of \keyword[tab:realfun]{GAUSS} and \keyword[tab:realfun]{TGAUSS} with randomly generated values of appropriate distribution. Then one of the other methods, e.g. \keyword{PARALLEL-T} is called. These two steps are then repeated many times.
+
+To use this method one has to specify the \keyword{METHOD} using the following form:
+\begin{center}
+\texttt{STATISTICAL-ERRORS(<track{\textunderscore}method>, <ncores>, <nruns>)},
+\end{center}
+\noindent where \texttt{<track{\textunderscore}method>} is the method that should track the particles, \texttt{<ncores>} is the number of cores used for a run and \texttt{<nruns>} is the number of individual runs that should be performed. \textbf{It should be noted that the total number of cores available has to be greater or equal to \texttt{ncores} + 1.} One core is needed to manage the distribution of tasks and to collect the results. The other cores are used to perform the simulations. If in total $N \times \texttt{ncores} + 1$ cores are available then $N$ individual runs are processed in parallel each using \texttt{ncores}.
+
+For each run of the method \keyword{STATISTICAL-ERRORS} a unique base name is generated of the form \filename{\%\%\%\%\%\%\%\%-\%\%\%\%-\%\%\%\%}. Each individual run is then performed in a directory \filename{\%\%\%\%\%\%\%\%-\%\%\%\%-\%\%\%\%{\textunderscore}run{\textunderscore}ddddd}. The files that are produced by the \texttt{<track{\textunderscore}method>} are kept. \textbf{This can lead to a large amount of data especially when snapshots of the phase space are stored frequently. The user should make sure that the file system can handle the amount of data or set the option \keyword[sec:option]{PSDUMPFREQ} to a big number.}
+
+In the end the method \keyword{STATISTICAL-ERRORS} computes the mean and the standard deviation for each variable in the array \keyword{OBJECTIVES} along the machine and stores this information in to the \filename{.stat} file.
+\input{footer}
\ No newline at end of file
diff --git a/doc/user_guide/tutorial.tex b/doc/user_guide/tutorial.tex
new file mode 100755
index 0000000000000000000000000000000000000000..413f964e317749de5704426612f8e170e0dc4375
--- /dev/null
+++ b/doc/user_guide/tutorial.tex
@@ -0,0 +1,256 @@
+\input{header}
+
+\chapter{Tutorial}
+\label{chp:tutorial}
+This chapter will provide a jump start describing some of the most common used features of \opal. The complete set of examples can be found
+and downloaded at \url{https://amas.psi.ch/OPAL/wiki/OPAL}. All examples run on a single core, but can be used
+efficiently on up to 8 cores. \opal scales in the weak sense, hence for a higher concurrency one has to increase the problem size i.e. number of
+macro particles and the grid size, which is beyond this tutorial.
+
+\section{Starting OPAL}
+The name of the application is \texttt{opal}. When called without any argument an interactive session is started.
+\begin{example}
+\$ opal
+Ippl> CommMPI: Parent process waiting for children ...
+Ippl> CommMPI: Initialization complete.
+> ____ _____ ___
+> / __ \| __ \ /\ | |
+> | | | | |__) / \ | |
+> | | | | ___/ /\ \ | |
+> | |__| | | / ____ \| |____
+> \____/|_| /_/ \_\______|
+OPAL >
+OPAL > This is OPAL (Object Oriented Parallel Accelerator Library) Version 1.3.0rc1 ...
+OPAL >
+OPAL > Please send cookies, goodies or other motivations (wine and beer ... ) to ...
+OPAL > Time: 16.43.23 date: 26/04/2013
+OPAL > Reading startup file ``/Users/adelmann/init.opal''.
+OPAL > Finished reading startup file.
+==>
+\end{example}
+One can exit from this session with the command \keyword{QUIT;} (including the semicolon).
+
+For batch runs \opal accepts the following command line arguments:\\
+\begin{tabular}{|l|l|p{10cm}|}
+\hline
+\tabhead{Argument & Values & Function}
+\hline
+-{}-info & \num{0} -- \num{5} & \parbox[t]{10cm}{controls the amount of output to the command line. \num{0} means no or scarce output, \num{5} means a lot of output. Default: \num{1}.\\ Full support currently only in \opalt.} \\
+-restart & \num{-1} -- \textless Integer\textgreater & restarts from given step in file with saved phase space. Per default \opal tries to restart from a file \textless file\textgreater.h5 where \textless file\textgreater is the input file without extension. \num{-1} stands for the last step in the file. If no other file is specified to restart from and if the last step of the file is chosen, then the new data is appended to the file. Otherwise the data from this particular step is copied to a new file and all new data appended to the new file.\\
+-restartfn & \textless file\textgreater & a file in H5hut format from which \opal should restart.\\
+\hline
+\end{tabular}
+
+\vspace{3pt}
+Example:
+\begin{example}
+opal input.in -restartfn input.h5 -restart -1 --info 3
+\end{example}
+
+
+\section{Auto-phase Example}
+\label{sec:trackautoph}
+This is a partial complete example. First we have to set \opal in \keyword{AUTOPHASE} mode, as described in \secref{option} and for example set the nominal phase to
+\SI{-3.5}{\degree}). The way how \opal is computing the phases is explained in \appref{autophasing}.
+\begin{example}
+Option, AUTOPHASE=4;
+
+FINSS_RGUN_phi= (-3.5/180*Pi);
+\end{example}
+
+The cavity would be defined like
+\begin{example}
+FINSS_RGUN: RFCavity, L = 0.17493, VOLT = 100.0,
+ FMAPFN = "FINSS-RGUN.dat",
+ ELEMEDGE =0.0, TYPE = "STANDING", FREQ = 2998.0,
+ LAG = FINSS_RGUN_phi;
+\end{example}
+with \texttt{FINSS\_RGUN\_phi} defining the off crest phase. Now a normal \keyword{TRACK} command can be executed. A file containing the values of maximum phases is created, and has the format like:
+\begin{example}
+1
+FINSS_RGUN
+2.22793
+\end{example}
+with the first entry defining the number of cavities in the simulation.
+
+
+\section{Examples of Particle Accelerators and Beamlines}
+\label{sec:examplesbeamlines}
+
+\examplefromfile{examples/OBLA-Gun/OBLA-Gun.in}
+
+
+%\figref{guncomp2} shows the excellent agreement between \impactt and \opalt.
+%
+%\begin{figure}[ht]
+% \begin{center}
+% \includegraphics[width=0.6\linewidth,angle=90]{figures/Gun/GunCompEn}
+% \includegraphics[width=0.6\linewidth,angle=90]{figures/Gun/GunCompEx}
+% \caption{Comparison of energy and emittance in $x$ between \impactt and \opalt}
+% \label{fig:guncomp2}
+% \end{center}
+%\end{figure}
+
+\subsection{PSI XFEL 250 MeV Injector}
+\label{sec:felinj}
+\index{XFEL}
+\index{INJECTOR}
+\examplefromfile{examples/diagnostic.in}
+
+
+
+\subsection{PSI Injector II Cyclotron}
+\label{sec:inj2}
+\index{INJECTOR II}
+\index{CYCLOTRON}
+%%%%%%%%%%
+Injector II is a separated sector cyclotron specially designed for pre-acceleration (inject: \SI{870}{\kilo\electronvolt}, extract: \SI{72}{\mega\electronvolt} )
+of high intensity proton beam for Ring cyclotron. It has 4 sector magnets, two double-gap acceleration cavities
+(represented by 2 single-gap cavities here) and two single-gap flat-top cavities.
+
+Following is an input file of {\bfseries Single Particle Tracking mode} for PSI Injector II cyclotron.
+
+\examplefromfile{examples/opal-cycl.in}
+
+To run opal on a single node, just use this command:
+\begin{example}
+ opal testinj2-1.in
+\end{example}
+
+Here shows some pictures using the resulting data from single particle tracking using \opalcycl.
+
+Left plot of \figref{Inj2 reference orbit and tune} shows the accelerating orbit of reference particle. After 106 turns, the energy increases from \SI{870}{\kilo\electronvolt} at the injection point to \SI{72.16}{\mega\electronvolt} at the deflection point.
+
+%======================FIGURE===============================
+\begin{figure}[tb]
+\centering
+ \includegraphics[width=0.45\textwidth]{figures/cyclotron/AEO_Injector2.png}
+ \includegraphics[width=0.40\textwidth,angle=90]{figures/cyclotron/nurnuz_Inj2}
+ \caption{Reference orbit(left) and tune diagram(right) in Injector II }
+ \label{fig:Inj2 reference orbit and tune}
+\end{figure}
+%===========================================================
+
+
+From theoretic view, there should be an eigen ellipse for any given energy in stable area of a fixed accelerator structure. Only when the initial phase space
+shape matches its eigen ellipse, the oscillation of beam envelop amplitude will get minimal and the transmission efficiency get maximal.
+We can calculate the eigen ellipse by single particle tracking using betatron oscillation property of off-centered particle as following: track
+an off-centered particle and record its coordinates and momenta at the same azimuthal position for each revolution.
+\figref{eigen} shows the eigen ellipse at symmetric line of sector magnet for energy of \SI{2}{\mega\electronvolt} in Injector II.
+
+%======================FIGURE===============================
+\begin{figure}[tb]
+\centering
+ \includegraphics[width=0.45\textwidth]{figures/cyclotron/RadialEigen_Inj2}
+ \includegraphics[width=0.45\textwidth]{figures/cyclotron/VertEigen_Inj2}
+ \caption{Radial and vertical eigenellipse at \SI{2}{\mega\electronvolt} of Injector II}
+ \label{fig:eigen}
+\end{figure}
+%===========================================================
+
+
+Right plot of \figref{Inj2 reference orbit and tune} shows very good agreement of the tune diagram by \opalcycl and FIXPO.
+The trivial discrepancy should come from the methods they used.
+In FIXPO, the tune values are obtained according to the crossing points of the initially displaced particle. Meanwhile, in \opalcycl, the Fourier
+analysis method is used to manipulate orbit difference between the reference particle and an initially displaced particle.
+The frequency point with the biggest amplitude is the betatron tune value at the given energy.
+
+%%%%%%%%%%%%%%
+Following is the input file for single bunch tracking with space charge effects in Injector II.
+%%%%%%%%%%%%%%
+
+\examplefromfile{examples/opal-cycl-sc.in}
+
+To run opal on single node, just use this command:
+\begin{example}
+ # opal testinj2-2.in
+\end{example}
+
+To run opal on N nodes in parallel environment interactively, use this command instead:
+\begin{example}
+ # mpirun -np N opal testinj2-2.in
+\end{example}
+
+If restart a job from the last step of an existing \filename{.h5} file, add a new argument like this:
+\begin{example}
+ # mpirun -np N opal testinj2-2.in -restart -1
+\end{example}
+\figref{cyclParameters,cyclphasespace} are simulation results, shown by H5ROOT code.
+
+%======================FIGURE===============================
+\begin{figure}[tb]
+\centering
+ \includegraphics[width=0.45\textwidth]{figures/cyclotron/Inj2-ENERGY-TIME.png}
+ \includegraphics[width=0.45\textwidth]{figures/cyclotron/Inj2-B-ref-z-TrackStep.png}
+ \caption{Energy Vs. time (left) and external B field Vs. track step (Right, only show for about 2 turns)}
+ \label{fig:cyclParameters}
+\end{figure}
+%===========================================================
+
+
+%======================FIGURE===============================
+\begin{figure}[tb]
+\centering
+ \includegraphics[width=0.3\textwidth]{figures/cyclotron/Inj2-z-pz-step-870KeV.png}
+ \includegraphics[width=0.3\textwidth]{figures/cyclotron/Inj2-z-pz-step-15MeV.png}
+ \includegraphics[width=0.3\textwidth]{figures/cyclotron/Inj2-z-pz-step-30MeV.png}
+ \caption{Vertical phase at different energy from left to right: \SI{0.87}{\mega\electronvolt}, \SI{15}{\mega\electronvolt} and \SI{35}{\mega\electronvolt}}
+ \label{fig:cyclphasespace}
+\end{figure}
+%===========================================================
+
+
+
+%%%%%%%%%%%%%%
+\subsection{PSI Ring Cyclotron}
+\label{sec:Ring}
+\index{RING}
+\index{CYCLOTRON}
+From the view of numerical simulation, the difference between Injector II and Ring cyclotron comes from two aspects:
+\begin{description}
+\item[B Field] The structure of Ring is totally symmetric, the field on median plain is periodic
+along azimuthal direction, \opalcycl take this advantage to only store \nicefrac{1}{8} field data to save memory.
+
+\item[RF Cavity] In the Ring, all the cavities are typically single gap with some parallel displacement from its
+radial position.\opalcycl have an argument \keyword{PDIS} to manipulate this issue.
+\end{description}
+\begin{figure}[ht]
+ \begin{center}
+ \includegraphics[width=6cm,trim=2.5cm 2.5cm 2.5cm 2.5cm]{figures/cyclotron/AEO_Ring.png}
+ \includegraphics[width=6cm,trim=2.5cm 2.5cm 2.5cm 2.5cm]{figures/cyclotron/nurnuz_Ring}
+ \caption{Reference orbit(left) and tune diagram(right) in Ring cyclotron }
+ \label{fig:Ring reference orbit and tune}
+ \end{center}
+\end{figure}
+\figref{Ring reference orbit and tune} shows a single particle tracking result and tune calculation result in the PSI Ring cyclotron.
+Limited by size of the user guide, we don't plan to show too much details as in Injector II.
+
+\clearpage
+
+
+\section{Translate Old Distribution Commands to New Distribution Commands}
+\label{sec:oldtonewdist}
+\index{Distribution!Translate Old}
+As of \opal 1.2, the distribution command \seechp{distribution} was changed significantly. Many of the changes were internal to the code, allowing us to more easily add new distribution command options. However, other changes were made to make creating a distribution easier, clearer and so that the command attributes were more consistent across distribution types. Therefore, we encourage our users to refer to \chpref{distribution} when creating any new input files, or if they wish to update existing input files.
+
+With the new distribution command, we did attempt as much as possible to make it backward compatible so that existing \opal input files would still work the same as before, or with small modifications. In this section of the manual, we will give several examples of distribution commands that will still work as before, even though they have antiquated command attributes. We will also provide examples of commonly used distribution commands that need small modifications to work as they did before.
+
+\textbf{\emph{An important point to note is that it is very likely you will see small changes in your simulation even when the new distribution command is nominally generating particles in exactly the same way.}} This is because random number generators and their seeds will likely not be the same as before. These changes are only due to \opal using a different sequence of numbers to create your distribution, and not because of errors in the calculation. (Or at least we hope not.)
+
+\subsection{\keyword{GUNGAUSSFLATTOPTH} and \keyword{ASTRAFLATTOPTH} Distribution Types}
+\label{sec:oldtonewdistgungaussandastra}
+\index{Distribution!Translate GUNGAUSSFLATTOPTH}
+\index{Distribution!Translate ASTRAFLATTOPTH}
+The \keyword{GUNGAUSSFLATTOPTH} and \keyword{ASTRAFLATTOPTH} distribution types \seesec{gungaussflattopthdisttype,astraflattopthdisttype} are two common types previously implemented to simulate electron beams emitted from photocathodes in an electron photoinjector. These are no longer explicitly supported and are instead now defined as specialized sub-types of the distribution type \keyword{FLATTOP}. That is, the \emph{emitted} distributions represented by \keyword{GUNGAUSSFLATTOPTH} and \keyword{ASTRAFLATTOPTH} can now be easily reproduced by using the \keyword{FLATTOP} distribution type and we would encourage use of the new command structure.
+
+Having said this, however, old input files that use the \keyword{GUNGAUSSFLATTOPTH} and \keyword{ASTRAFLATTOPTH} distribution types will still work as before, with the following exception. Previously, \opal had a Boolean \keyword{OPTION} command \keyword{FINEEMISSION} (default value was \keyword{TRUE}). This \keyword{OPTION} is no longer supported. Instead you will need to set the distribution attribute \keyword{EMISSIONSTEPS} \seetab{distattremitted} to a value that is 10 $\times$ the value of the distribution attribute \keyword{NBIN} \seetab{distattruniversal} in order for your simulation to behave the same as before.
+\input{footer}
+
+\subsection{\keyword{FROMFILE}, \keyword{GAUSS} and \keyword{BINOMIAL} Distribution Types}
+\index{Distribution!Translate FROMFILE}
+\index{Distribution!Translate GAUSS}
+\index{Distribution!Translate BINOMIAL}
+The \keyword{FROMFILE} \seesec{fromfiledisttype}, \keyword{GAUSS} \seesec{gaussdisttype} and \keyword{BINOMIAL} \seesec{binomialdisttype} distribution types have changed from previous versions of \opal. However, legacy distribution commands should work as before with one exception. If you are using \opalcycl then your old input files will work just fine. However, if you are using \opalt then you will need to set the distribution attribute \keyword{INPUTMOUNITS} \seesec{unitsdistattributes} to:
+\begin{example}
+INPUTMOUNITS = EV
+\end{example}
\ No newline at end of file
diff --git a/doc/user_guide/uml.tex b/doc/user_guide/uml.tex
new file mode 100755
index 0000000000000000000000000000000000000000..8bd4f3ca6728e1e9d7434225ff67522f3659ad57
--- /dev/null
+++ b/doc/user_guide/uml.tex
@@ -0,0 +1,198 @@
+% special macros for UML diagrams
+% ------------------------------------------------------------------------
+
+\def\dline{\dashline[30]{8}}
+
+
+\def\updotarrow(#1,#2)(#3,#4){%
+ \dashline[30]{8}(#1,#2)(#3,#4)%
+ \put(#3,#4){%
+ \drawline(-2,-8)(0,0)(2,-8)%
+ }%
+}
+
+
+\def\leftdotarrow(#1,#2)(#3,#4){%
+ \dashline[30]{8}(#1,#2)(#3,#4)%
+ \put(#3,#4){%
+ \drawline(8,-2)(0,0)(8,2)%
+ }%
+}
+
+
+\def\downdotarrow(#1,#2)(#3,#4){%
+ \dashline[30]{8}(#1,#2)(#3,#4)%
+ \put(#3,#4){%
+ \drawline(-2,8)(0,0)(2,8)%
+ }%
+}
+
+
+\def\rightdotarrow(#1,#2)(#3,#4){%
+ \dashline[30]{8}(#1,#2)(#3,#4)%
+ \put(#3,#4){%
+ \drawline(-8,-2)(0,0)(-8,2)%
+ }%
+}
+
+
+\def\class(#1,#2)#3{%
+ \put(#1,#2){\framebox(80,40){\texttt{#3}}}%
+}
+
+
+\def\bclass(#1,#2)(#3,#4)#5{%
+ \put(#1,#2){\framebox(#3,#4){\texttt{#5}}}%
+}
+
+
+\def\template(#1,#2)#3#4{%
+ \put(#1,#2){%
+ \begin{picture}(90,50)%
+ \drawline(80,30)(80,0)(0,0)(0,40)(50,40)%
+ \put(0,0){\makebox(80,30){\texttt{#3}}}%
+ \dashline[30]{8}(50,30)(90,30)(90,50)(50,50)(50,30)
+ \put(50,30){\makebox(40,20){\texttt{#4}}}%
+ \end{picture}%
+ }%
+}
+
+
+\def\module(#1,#2)#3{%
+ \put(#1,#2){%
+ \begin{picture}(80,50)%
+ \drawline(0,0)(80,0)(80,40)(0,40)(0,0)%
+ \drawline(0,40)(0,50)(20,50)(20,40)%
+ \put(0,0){\makebox(80,40){\texttt{#3}}}%
+ \end{picture}%
+ }%
+}
+
+
+\def\smodule(#1,#2)(#3,#4)#5{{%
+ \put(#1,#2){%
+ \begin{picture}(#3,#4)%
+ \drawline(0,0)(#3,0)(#3,#4)(0,#4)(0,0)
+ \put(0,#4){%
+ \begin{picture}(40,0)
+ \put(0,0){\makebox(40,20){\texttt{\tiny #5}}}
+ \drawline(0,0)(0,20)(40,20)(40,0)
+ \end{picture}
+ }%
+ \end{picture}%
+ }%
+}}
+
+
+\newcounter{temp}
+\def\upderive(#1,#2)(#3,#4){%
+ \setcounter{temp}{#4}
+ \addtocounter{temp}{-12}
+ \drawline(#1,#2)(#3,\value{temp})
+ \put(#3,#4){%
+ \begin{picture}(,)%
+ \drawline(0,0)(-6,-12)(6,-12)(0,0)%
+ \end{picture}%
+ }%
+}
+
+
+\def\leftderive(#1,#2)(#3,#4){%
+ \setcounter{temp}{#3}
+ \addtocounter{temp}{12}
+ \drawline(#1,#2)(\value{temp},#4)
+ \put(#3,#4){%
+ \begin{picture}(,)%
+ \drawline(0,0)(12,-6)(12,6)(0,0)%
+ \end{picture}%
+ }%
+}
+
+
+\def\downderive(#1,#2)(#3,#4){%
+ \setcounter{temp}{#4}
+ \addtocounter{temp}{12}
+ \drawline(#1,#2)(#3,\value{temp})
+ \put(#3,#4){%
+ \begin{picture}(,)%
+ \drawline(0,0)(6,12)(-6,12)(0,0)%
+ \end{picture}%
+ }%
+}
+
+
+\def\rightderive(#1,#2)(#3,#4){%
+ \setcounter{temp}{#3}
+ \addtocounter{temp}{-12}
+ \drawline(#1,#2)(\value{temp},#4)
+ \put(#3,#4){%
+ \begin{picture}(,)%
+ \drawline(0,0)(-12,-6)(-12,6)(0,0)%
+ \end{picture}%
+ }%
+}
+
+
+\def\upcompose(#1,#2)(#3,#4){%
+ \setcounter{temp}{#4}
+ \addtocounter{temp}{-16}
+ \drawline(#1,#2)(#3,\value{temp})
+ \put(#3,#4){%
+ \begin{picture}(,)%
+ \drawline(0,0)(-5,-8)(0,-16)(5,-8)(0,0)%
+ \end{picture}%
+ }%
+}
+
+
+\def\leftcompose(#1,#2)(#3,#4){%
+ \setcounter{temp}{#3}
+ \addtocounter{temp}{16}
+ \drawline(#1,#2)(\value{temp},#4)
+ \put(#3,#4){%
+ \begin{picture}(,)%
+ \drawline(0,0)(8,-5)(16,0)(8,5)(0,0)%
+ \end{picture}%
+ }%
+}
+
+
+\def\downcompose(#1,#2)(#3,#4){%
+ \setcounter{temp}{#4}
+ \addtocounter{temp}{16}
+ \drawline(#1,#2)(#3,\value{temp})
+ \put(#3,#4){%
+ \begin{picture}(,)%
+ \drawline(0,0)(-5,+8)(0,+16)(5,+8)(0,0)%
+ \end{picture}%
+ }%
+}
+
+
+\def\rightcompose(#1,#2)(#3,#4){%
+ \setcounter{temp}{#3}
+ \addtocounter{temp}{-16}
+ \drawline(#1,#2)(\value{temp},#4)
+ \put(#3,#4){%
+ \begin{picture}(,)%
+ \drawline(0,0)(-8,-5)(-16,0)(-8,5)(0,0)%
+ \end{picture}%
+ }%
+}
+
+
+\newcounter{tempx}
+\newcounter{tempy}
+\def\note(#1,#2)(#3,#4)#5{%
+ \put(#1,#2){%
+ \begin{picture}(#3,#4)%
+ \setcounter{tempx}{#3}
+ \setcounter{tempy}{#4}
+ \addtocounter{tempx}{-10}
+ \addtocounter{tempy}{-10}
+ \drawline(#3,\value{tempy})(#3,0)(0,0)(0,#4)(\value{tempx},#4)%
+ (#3,\value{tempy})(\value{tempx},\value{tempy})(\value{tempx},#4)%
+ \end{picture}%
+ }%
+ \put(#1,#2){\makebox(#3,#4){#5}}
+}
diff --git a/doc/user_guide/wakefields.tex b/doc/user_guide/wakefields.tex
new file mode 100644
index 0000000000000000000000000000000000000000..d72284cbe8f02c2149a1a9906ae6bd9102f0d152
--- /dev/null
+++ b/doc/user_guide/wakefields.tex
@@ -0,0 +1,234 @@
+\input{header}
+
+\chapter{Wakefields}
+\label{chp:wakefields}
+\index{Wakefields}
+\TODO{rewrite!}
+
+\opalt provides methods to compute CSR and short-range geometric wakefields.
+
+\section{Geometric Wakefields}
+\label{sec:wakefields:shortrange}
+Basically there are two different kind of wakefields that can be used. The first one is the wakefield of a round, metallic beam pipe that can be calculated numerically (see Sections~\ref{sec:wakefield} - \ref{sec:TAU}).
+Since this also limits the applications of wakefields we also provide a way to import a discretized wakefield from a file %\seesec{WFNAME}.
+
+The wakefield of a round, metallic beam pipe with radius $a$ can be calculated by inverse FFT of the beam pipe impedance. There are known models for beam pipes with \keyword{DC} and \keyword{AC} conductivity. The \keyword{DC} conductivity of a metal is given by
+%
+\begin{equation}
+\sigma_{DC} = \frac{ne^2\tau}{m} \label{eq:dc_cond}
+\end{equation}
+%
+with $n$ the density of conduction electrons with charge $e$, $\tau$ the relaxation time, and $m$ the electron mass. The \keyword{AC} conductivity, a response to applied oscillation fields, is given by
+%
+\begin{equation}
+\sigma_{AC} = \frac{\sigma_{DC}}{1-i\omega\tau} \label{eq:ac_cond}
+\end{equation}
+%
+with $\omega$ denoting the frequency of the fields.
+
+The longitudinal impedance with \keyword{DC} conductivity is given by
+%
+\begin{equation} \label{eq:Z[2]}
+ Z_{Ldc}(k) = \dfrac{1}{ca} \dfrac{2}{\frac{\lambda}{k}-\frac{ika}{2}}
+\end{equation}
+%
+where
+\begin{equation}
+\lambda=\sqrt{\dfrac{2\pi\sigma \vert k\vert}{c}}(i+sign(k))
+\end{equation}
+%
+with $c$ denoting the speed of light and $k$ the wave number.
+
+The longitudinal wake can be obtained by an inverse Fourier transformation of the impedance. Since $Re(Z_L(k))$ drops at high frequencies faster than $Im(Z_L(k))$ the cosine transformation can be used to calculate the wake. The following equation holds in both, the \keyword{DC} and \keyword{AC}, case
+%
+\begin{equation} \label{eq:Calc_Wl}
+W_L(s)=10^{-12} \dfrac{2c}{\pi}Re\left(\int_0^\infty Re(Z_L(k))\cos (ks)dk\right)
+\end{equation}
+%
+with $Z_L(k)$ either representing $Z_{L_{DC}}(k)$ or $Z_{L_{AC}}(k)$ depending on the conductivity. With help of the Panofsky-Wenzel theorem
+%
+\begin{equation}
+Z_L(k) = \frac{k}{c}Z_T(k).
+\end{equation}
+%
+we can deduce the transverse wakefield from \eqnref{Calc_Wl}:
+%
+\begin{equation} \label{eq:Calc_Wt}
+W_T(s)= 10^{-12} \dfrac{2c}{\pi}Re\left(\int_0^\infty Re( \frac{c}{k}Z_L(k))\cos (ks)dk\right).
+\end{equation}
+
+%\begin{figure}[ht]
+%\begin{center}
+%\includegraphics[width=0.45\textwidth]{wakeComp/lo_Integration.png}
+%\includegraphics[width=0.45\textwidth]{wakeComp/tr_Integration.png}
+%\caption{Parameters of the numerical integration scheme: $N$ and $\Delta k$. \textsc{Left:} longitudinal and \textsc{Right:} transversal wake. \label{fig:lo_calc} }
+%\end{center}
+%\end{figure}
+
+%As shown in \eqnref{Calc_Wl,Calc_Wt} we need to integrate a function to calculate one sampling point of the wakefunction. For the numerical integration \eqnref{Calc_Wl} can be written as a sum from $0$ to $N-1$ since $\infty$ can not be covered numerically, and a discrete $\Delta k$ instead of a infinitesimal $dk$:
+%\begin{equation}\label{eq:Num_Calc_Wl}
+%W_{L}(s)=10^{-12} \dfrac{2c}{\pi}Re\left(\sum_{i=0}^{N-1} Re(Z_{L}(i \Delta k))\cos (i\Delta ks)dk\right)
+%\end{equation}
+%with $Re(Z_{L})$ either $Z_{Ldc}$ or $Z_{Lac}$.
+%The same holds for \eqnref{Calc_Wt} which is then written as
+%\begin{equation}\label{eq:Num_Calc_Wt}
+%W_{T}(s)=10^{-12} \dfrac{2c}{\pi}Re\left(\sum_{i=0}^{N-1} Re(\frac{c}{k} Z_{L}(i \Delta k))\cos (i\Delta ks)dk\right).
+%\end{equation}
+%To have reliable results out of \eqnref{Num_Calc_Wl,Num_Calc_Wt} $N$ the number of sampling points must be big enough and $\Delta k$ the mesh size small enough.
+%\figref{lo_calc} trites to give an intuition how $N$ and $\Delta k$ should be chosen. In the figure the parameters are shwn for a round, copper beam pipe with radius $5$\,mm. In \figref{lo_calc} $Re(Z_{Ldc}(k))\cos (ks)$ with $s$=120 $\mu$m is plotted with respect to k. This equation is integrated in \eqnref{Num_Calc_Wl} to get the longitudinal wakefield. There it is obvious that k must be at least in the order of $10^5$. In \figref{tr_calc} $Re(\frac{c}{k}Z_{Lac}(k))\cos (ks)$ with $s$=120 $\mu$m is plotted with respect to k. This equation is integrated according to \eqnref{Num_Calc_Wt} to get the transversal wakefield. Figure shows a singularity at k=0. To integrate such functions a small $\Delta k$ (fine mesh) is needed.
+
+To calculate the integrals in \eqnref{Calc_Wl,Calc_Wt} numerically the Simpson integration schema with equidistant mesh spacing is applied. This leads to an integration with small $\Delta k$ with a big $N$ which is computational not optimal with respect to efficiency. Since we calculate the wakefield usually just once in the initialization phase the overall performance will not be affected from this.
+
+\section{CSR Wakefields}
+The electromagnetic field due to a particle moving on a circle in free space can be calculated exactly with the Li\'enard-Wiechert potentials. The field has been calculated for all points on the same circle \cite{bib:schott,bib:schwinger1949}. For high particle energies the radiated power is almost exclusively emitted in forward direction, whereas for low energies a fraction is also emitted in transverse and backward direction. For the case of high-energetic particles an impedance in forward direction can be calculated \cite{bib:murphy1997}. The procedure is then the same as for a regular wakefield with the important difference that wakes exert forces on trailing particles only. The electromagnetic fields of a particle propagating on the mid-plane between two parallel metallic plates that stretch to infinity \cite{bib:schwinger1949} and for finite plates \cite{bib:nodvick1954} can also be calculated. For the infinite plates an impedance can be calculated \cite{bib:murphy1997}.
+
+All of these approaches for CSR neglect any transient effects due to the finite length of the bend. Instead they describe the steady state case of a bunch circling infinitely long in the field of a dipole magnet. In \cite{bib:saldin1997} the four different stages of a bunch passing a bending magnet are treated separately and for each a corresponding wake function is derived. This model is used in \opalt for \keyword{1D-CSR}.
+
+The 1-dimensional approach also neglects any influence of the transverse dimensions and of changes in current density between retarded and current time. On the other hand it gives a good approximation of effects due to CSR in short time.
+
+In addition to the \keyword{1D-CSR} model also one that makes use of an integrated Green function \cite{bib:mitchell2013}, \keyword{1D-CSR-IGF}.
+
+\section{The \keyword{WAKE} Command}
+\label{sec:wakecmd}
+The general input format is
+\begin{example}
+label:WAKE, TYPE=string, NBIN=real, CONST_LENGTH=bool,
+ CONDUCT=string, Z0=real, FORM=string, RADIUS=real,
+ SIGMA=real, TAU=real, FILTERS=string-array;
+\end{example}
+The format for a CSR wake is
+\begin{example}
+label:WAKE, TYPE=string, NBIN=real, FILTERS=string-array;
+\end{example}
+
+\begin{table}[ht] \footnotesize
+ \begin{center}
+ \caption{Wakefield command summary}
+ \label{tab:wakefieldcmd}
+ \begin{tabular}{|l|p{0.6\textwidth}|l|}
+ \hline
+ \tabhead{Command & Purpose}
+ \hline
+ \tabline[sec:wakefield]{WAKE}{Specify a wakefield}
+ \tabline[sec:WTYPE]{TYPE}{Specify the wake function [\keyword{1D-CSR}, \keyword{1D-CSR-IGF}, \keyword{LONG-SHORT-RANGE}, \keyword{TRANSV-SHORT-RANGE}, \keyword{LONG-TRANSV-SHORT-RANGE}]}
+ \tabline[sec:NBIN]{NBIN}{Number of bins used in the calculation of the line density}
+ \tabline[sec:CONSTLEN]{CONST\_LENGTH}{\keyword{TRUE} if the length of the bunch is considered to be constant}
+ \tabline[sec:CONDUCT]{CONDUCT}{Conductivity [\keyword{AC}, \keyword{DC}]}
+ \tabline[sec:Z]{Z0}{Impedance of the beam pipe in [$\Omega$]}
+ \tabline[sec:FORM]{FORM}{The form of the beam pipe [\keyword{ROUND}]}
+ \tabline[sec:RADIUS]{RADIUS}{The radius of the beam pipe in [m]}
+ \tabline[sec:SIGMA]{SIGMA}{Material constant dependent on the beam pipe material in [$\Omega^{-1} m$]}
+ \tabline[sec:TAU]{TAU}{Material constant dependent on the beam pipe material in [$s$]}
+ \tabline[sec:WFNAME]{FNAME}{Specify a file that provides a wake function}
+ \tabline[sec:FILTER]{FILTER}{The names of the filters that should be applied}
+ \hline
+ \end{tabular}
+ \end{center}
+\end{table}
+
+\section{Define the Wakefield to be used}
+\label{sec:wakefield}
+\index{WAKE}
+The \keyword{WAKE} command defines data for a wake function on an element \seesec{Element:common}.
+
+\section{Define the wakefield type}
+\label{sec:WTYPE}
+\index{TYPE}
+A {string value} \seesec{astring} to specify the wake function, either \keyword{1D-CSR}, \keyword{1D-CSR-IGF}, \keyword{LONG-SHORT-RANGE}, \\
+\keyword{TRANSV-SHORT-RANGE} or \keyword{LONG-TRANSV-SHORT-RANGE}.
+
+\section{Define the number of bins}
+\label{sec:NBIN}
+\index{NBIN}
+The number of bins used in the calculation of the line density.
+
+\section{Define the bunch length to be constant}
+\label{sec:CONSTLEN}
+\index{CONST\_LENGTH}
+With the \keyword{CONST\_LENGTH} flag the bunch length can be set to be constant. This has no effect on CSR wakefunctions.
+
+\section{Define the conductivity}
+\label{sec:CONDUCT}
+\index{CONDUCTIVITY}
+The conductivity of the bunch which can be set to either \keyword{AC} or \keyword{DC}. This has no effect on CSR wakefunctions.
+
+\section{Define the impedance}
+\label{sec:Z}
+\index{Z0}
+The impedance $Z_0$ of the beam pipe in [$\Omega$]. This has no effect on CSR wakefunctions.
+
+\section{Define the form of the beam pipe}
+\label{sec:FORM}
+\index{FORM}
+The form of the beam pipe can be set to \keyword{ROUND}. This has no effect on CSR wakefunctions.
+
+\section{Define the radius of the beam pipe}
+\label{sec:RADIUS}
+\index{RADIUS}
+The radius of the beam pipe in [m]. This has no effect on CSR wakefunctions.
+
+\section{Define the $\sigma$ of the beam pipe}
+\label{sec:SIGMA}
+\index{SIGMA}
+The $\sigma$ of the beam pipe (material constant), see \eqnref{dc_cond}. This has no effect on CSR wakefunctions.
+
+\section{Define the relaxation time ($\tau$) of the beam pipe}
+\label{sec:TAU}
+\index{TAU}
+The $\tau$ defines the relaxation time and is needed to calculate the impedance of the beam pipe \seeeqn{dc_cond}. This has no effect on CSR wakefunctions.
+
+\section{Import a wakefield from a file}
+\label{sec:WFNAME}
+\index{FNAME}
+
+Since we only need values of the wake function at several discreet points to calculate the force on the particle it is also possible to specify these in a file.To get required data points of the wakefield not provide in the file we linearly interpolate the available function values. The files are specified in the SDDS format \cite{bib:borland1995,bib:borland1998}.
+
+Whenever a file is specified \opal will use the wakefield found in the file and ignore all other commands related to round beam pipes.
+
+\section{List of Filters}
+\label{sec:FILTER}
+ Array of names of filters to be applied to the longitudinal histogram of the bunch to get rid of the noise and to calculate derivatives. All the filters are applied to the line density in the order they appear in the array. The last filter is also used for calculating the derivatives. The actual filters have to be defined elsewhere.
+
+
+\section{The \keyword{FILTER} Command}
+Filters can be defined which then are applied to the line density of the bunch. The following smoothing filters are implemented: \keyword{Savitzky-Golay}, \keyword{Stencil}, \keyword{FixedFFTLowPass}, \keyword{RelativFFTLowPass}. The input format for them is
+\begin{example}
+label:FILTER, TYPE=string, NFREQ=real, THRESHOLD=real,
+ NPOINTS=real, NLEFT=real, NRIGHT=real,
+ POLYORDER=real
+\end{example}
+\begin{kdescription}
+\item[TYPE]
+ The type of filter: \keyword{Savitzky-Golay}, \keyword{Stencil}, \keyword{FixedFFTLowPass}, \keyword{RelativFFTLowPass}
+\item[NFREQ]
+ Only used in \keyword{FixedFFTLowPass}: the number of frequencies to keep
+\item[THRESHOLD]
+ Only used in \keyword{RelativeFFTLowPass}: the minimal strength of frequency compared to the strongest to consider.
+\item[NPOINTS]
+ Only used in \keyword{Savitzky-Golay}: width of moving window in number of points
+\item[NLEFT]
+ Only used in \keyword{Savitzky-Golay}: number of points to the left
+\item[NRIGHT]
+ Only used in \keyword{Savitzky-Golay}: number of points to the right
+\item[POLYORDER]
+ Only used in \keyword{Savitzky-Golay}: polynomial order to be used in least square approximation
+\end{kdescription}
+The \keyword{Savitzky-Golay} filter and the ones based on the FFT routine provide a derivative on a natural way. For the \keyword{Stencil} filter a second order stencil is used to calculate the derivative.
+
+An implementation of the \keyword{Savitzky-Golay} filter can be found in the Numerical Recipes. The \keyword{Stencil} filter uses the following two stencil consecutively to smooth the line density:
+$$f_i = \frac{7\cdot f_{i-4} + 24\cdot f_{i-2} + 34\cdot f_{i} + 24\cdot f_{i+2} + 7\cdot f_{i+4}}{96}$$
+and
+$$f_i = \frac{7\cdot f_{i-2} + 24\cdot f_{i-1} + 34\cdot f_{i} + 24\cdot f_{i+1} + 7\cdot f_{i+2}}{96}.$$
+For the derivative a standard second order stencil is used:
+$$f\primed_i = \frac{f_{i-2} - 8\cdot f_{i-1} + 8\cdot f_{i+1} - f_{i+2}}{h}$$
+This filter was designed by Ilya Pogorelov for the ImpactT implementation of the CSR 1D model.
+
+The FFT based smoothers calculate the Fourier coefficients of the line density. Then they set all coefficients corresponding to frequencies above a certain threshold to zero. Finally the back-transformation is calculate using this coefficients. The two filters differ in the way they identify coefficients which should be set to zero. \keyword{FixedFFTLowPass} uses the n lowest frequencies whereas \keyword{RelativeFFTLowPass} searches for the coefficient which has the biggest absolute value. All coefficients which, compared to this value, are below a threshold (measure in percents) are set to zero. For the derivative the coefficients are multiplied with the following function (this is equivalent to a convolution):
+$$g_{i} =
+\begin{cases}
+i \frac{2\pi \imath}{N\cdot L} & i < N/2 \\
+-i \frac{2\pi \imath}{N\cdot L} & i > N/2
+\end{cases}$$
+where $N$ is the total number of coefficients/sampling points and $L$ is the length of the bunch.
+
+\input{footer}
\ No newline at end of file
diff --git a/ippl/src/Utility/StaticIpplInfo.cpp b/ippl/src/Utility/StaticIpplInfo.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..5f9c519bda248d33aa274ee0cb224a4e8b6eb483
--- /dev/null
+++ b/ippl/src/Utility/StaticIpplInfo.cpp
@@ -0,0 +1,10 @@
+#include "StaticIpplInfo.h"
+#include "Message/Communicate.h"
+#include "Utility/IpplStats.h"
+
+#ifdef IPPL_DKS
+#include "DKSBase.h"
+#endif
+
+StaticIpplInfo::StaticIpplInfo() { }
+StaticIpplInfo::~StaticIpplInfo() { }
\ No newline at end of file
diff --git a/ippl/src/Utility/StaticIpplInfo.h b/ippl/src/Utility/StaticIpplInfo.h
new file mode 100644
index 0000000000000000000000000000000000000000..c33477d94e56bd4a70b1fcb0e3a9887ce2400a9d
--- /dev/null
+++ b/ippl/src/Utility/StaticIpplInfo.h
@@ -0,0 +1,113 @@
+#ifndef STATIC_IPPL_INFO_H
+#define STATIC_IPPL_INFO_H
+
+#include <mpi.h>
+
+class Communicate;
+class IpplStats;
+//DKS include
+#ifdef IPPL_DKS
+class DKSBase;
+#endif
+
+class StaticIpplInfo {
+public:
+ StaticIpplInfo();
+ ~StaticIpplInfo();
+
+ // Inform *Info;
+ // Inform *Warn;
+ // Inform *Error;
+ // Inform *Debug;
+
+ // the parallel communication object
+ Communicate *Comm;
+
+ // the statistics collection object
+ IpplStats *Stats;
+
+#ifdef IPPL_DKS
+ DKSBase *DKS;
+#endif
+
+ // flag telling whether to use optimization for reducing
+ // communication by deferring guard cell fills.
+ bool deferGuardCellFills;
+
+ // flag telling whether to turn off compression in the Field classes.
+ bool noFieldCompression;
+
+ // flag telling whether to try to (pseudo-)randomly offset the
+ // LField blocks to try to avoid cache conflicts.
+ bool offsetStorage;
+
+ // flag telling whether to try to do a TryCompress after each
+ // individual LField has been processed in an expression.
+ bool extraCompressChecks;
+
+ // flag telling whether to try to use direct-io. This is only
+ // possible if the library is compiled with the IPPL_DIRECTIO option,
+ // and you are on a system that provides this capablity.
+ bool useDirectIO;
+
+ MPI_Comm communicator_m;
+
+ // counter indicating how many IpplInit objects have been created.
+ // When this gets back to zero, it's time to delete the Comm and quit.
+ int NumCreated;
+
+ // flag indicating whether this class has been created with
+ // argc,argv specified ever. This should only be done once.
+ bool CommInitialized;
+
+ // flag indicating whether we should print out stats info at the
+ // end of the program.
+ bool PrintStats;
+
+ // flag indicating if we need to delete the comm object at the end.
+ bool NeedDeleteComm;
+
+ // flag indicating whether to use checksums on messages
+ bool UseChecksums;
+
+ // flag indicating whether to retransmit messages when errors occur
+ bool Retransmit;
+
+ // data with argc and argv
+ int MyArgc;
+ char **MyArgv;
+
+ // data with my node number and total number of nodes. These are
+ // only changed when a new Communicate object is created.
+ int MyNode;
+ int TotalNodes;
+
+ // data with SMP information. These are changed after a new
+ // Communicate object is created.
+ int NumSMPs;
+ int *SMPIDList;
+ int *SMPNodeList;
+
+ // data about a limit to the number of nodes that should be used
+ // in FFT operations. If this is <= 0 or > number of nodes, it is ignored.
+ int MaxFFTNodes;
+
+ // Maximum read chunk size
+ int ChunkSize;
+
+ // A boolean setting for whether we should attempt to use parallel
+ // I/O within a single SMP, for example by having multipple processors
+ // try to read from a single file (vs just having one node do it).
+ bool PerSMPParallelIO;
+
+#ifdef IPPL_COMM_ALARMS
+ // A timeout quantity, in seconds, to allow us to wait a certain number
+ // of seconds before we signal a timeout when we're trying to receive
+ // a message. By default, this will be zero; change it with the
+ // --msgtimeout <seconds> flag
+ unsigned int CommTimeoutSeconds;
+#endif
+
+};
+
+#endif
\ No newline at end of file
diff --git a/src/Algorithms/CavityAutophaser.cpp b/src/Algorithms/CavityAutophaser.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..2e0b2c601828eb084c7cb4eaf46d337758a3bf90
--- /dev/null
+++ b/src/Algorithms/CavityAutophaser.cpp
@@ -0,0 +1,283 @@
+#include "Algorithms/CavityAutophaser.h"
+#include "Algorithms/Vektor.h"
+#include "AbsBeamline/RFCavity.h"
+#include "AbsBeamline/TravelingWave.h"
+#include "Utilities/Options.h"
+#include "Utilities/OpalException.h"
+#include "Utilities/Util.h"
+#include "AbstractObjects/OpalData.h"
+
+extern Inform *gmsg;
+
+CavityAutophaser::CavityAutophaser(const PartData &ref,
+ std::shared_ptr<Component> cavity):
+ itsReference_m(ref),
+ itsCavity_m(cavity)
+{
+ double zbegin = 0.0, zend = 0.0;
+ PartBunch *fakeBunch = NULL;
+ cavity->initialise(fakeBunch, zbegin, zend);
+ initialR_m = Vector_t(0, 0, zbegin);
+}
+
+CavityAutophaser::~CavityAutophaser() {
+
+}
+
+double CavityAutophaser::getPhaseAtMaxEnergy(const Vector_t &R,
+ const Vector_t &P,
+ double t,
+ double dt) {
+ initialP_m = Vector_t(0, 0, euclidian_norm(P));
+ double tErr = (initialR_m(2) - R(2)) * sqrt(dot(P,P) + 1.0) / (P(2) * Physics::c);
+
+ double initialEnergy = Util::getEnergy(P, itsReference_m.getM()) * 1e-6;
+ double originalPhase = 0.0;
+ double initialPhase = guessCavityPhase(t + tErr);
+ double optimizedPhase = 0.0;
+ double amplitude = 0.0;
+ double designEnergy = 0.0;
+ double finalEnergy = 0.0;
+ const double length = itsCavity_m->getElementLength();
+
+ if(itsCavity_m->getType() == ElementBase::TRAVELINGWAVE) {
+ TravelingWave *element = static_cast<TravelingWave *>(itsCavity_m.get());
+ amplitude = element->getAmplitudem();
+ designEnergy = element->getDesignEnergy();
+
+ if (amplitude <= 0.0 && designEnergy <= 0.0)
+ throw OpalException("CavityAutophaser::getPhaseAtMaxEnergy()",
+ "neither amplitude or design energy given to cavity " + element->getName());
+
+
+ } else if(itsCavity_m->getType() == ElementBase::RFCAVITY) {
+ RFCavity *element = static_cast<RFCavity *>(itsCavity_m.get());
+ amplitude = element->getAmplitudem();
+ designEnergy = element->getDesignEnergy();
+
+ if (amplitude == 0.0 && (designEnergy <= 0.0 || length <= 0.0))
+ throw OpalException("CavityAutophaser::getPhaseAtMaxEnergy()",
+ "neither amplitude or design energy given to cavity " + element->getName());
+
+ if (amplitude == 0.0) {
+ amplitude = 2 * (designEnergy - initialEnergy) / (std::abs(itsReference_m.getQ()) * length);
+
+ element->setAmplitudem(amplitude);
+ }
+
+ if (designEnergy > 0.0) {
+ int count = 0;
+ while (count < 1000) {
+ initialPhase = guessCavityPhase(t + tErr);
+ auto status = optimizeCavityPhase(initialPhase, t + tErr, dt);
+
+ optimizedPhase = status.first;
+ finalEnergy = status.second;
+
+ if (std::abs(designEnergy - finalEnergy) < 1e-7) break;
+
+ amplitude *= std::abs(designEnergy / finalEnergy);
+ element->setAmplitudem(amplitude);
+ initialPhase = optimizedPhase;
+
+ ++ count;
+ }
+ } else {
+ auto status = optimizeCavityPhase(initialPhase, t + tErr, dt);
+
+ optimizedPhase = status.first;
+ finalEnergy = status.second;
+ }
+ } else {
+ throw OpalException("CavityAutophaser::getPhaseAtMaxEnergy()",
+ "given element is not a cavity");
+ }
+
+ if(itsCavity_m->getType() == ElementBase::TRAVELINGWAVE) {
+ TravelingWave *element = static_cast<TravelingWave *>(itsCavity_m.get());
+ originalPhase = element->getPhasem();
+ double newPhase = std::fmod(originalPhase + optimizedPhase + Physics::two_pi, Physics::two_pi);
+ element->setPhasem(newPhase);
+ } else {
+ RFCavity *element = static_cast<RFCavity *>(itsCavity_m.get());
+ originalPhase = element->getPhasem();
+ double newPhase = std::fmod(originalPhase + optimizedPhase + Physics::two_pi, Physics::two_pi);
+ element->setPhasem(newPhase);
+ }
+
+ double PhiAstra = std::fmod((optimizedPhase * Physics::rad2deg) + 90.0, 360.0);
+
+ INFOMSG(itsCavity_m->getName() << "_phi = " << optimizedPhase << " [rad] / "
+ << optimizedPhase * Physics::rad2deg << " [deg], AstraPhi = " << PhiAstra << " [deg],\n"
+ << "E = " << finalEnergy << " [MeV], " << "phi_nom = " << originalPhase * Physics::rad2deg << " [deg]\n"
+ << "Ez_0 = " << amplitude << " [MV/m]" << "\n"
+ << "time = " << (t + tErr) * 1e9 << " [ns], dt = " << dt * 1e12 << " [ps]" << endl);
+
+ OpalData::getInstance()->setMaxPhase(itsCavity_m->getName(), optimizedPhase);
+
+ if(itsCavity_m->getType() == ElementBase::TRAVELINGWAVE) {
+ TravelingWave *element = static_cast<TravelingWave *>(itsCavity_m.get());
+ element->setAutophaseVeto();
+ } else {
+ RFCavity *element = static_cast<RFCavity *>(itsCavity_m.get());
+ element->setAutophaseVeto();
+ }
+
+ return optimizedPhase;
+}
+
+double CavityAutophaser::guessCavityPhase(double t) {
+ const Vector_t &refP = initialP_m;
+ double Phimax = 0.0;
+ bool apVeto;
+ if(itsCavity_m->getType() == ElementBase::TRAVELINGWAVE) {
+ TravelingWave *element = static_cast<TravelingWave *>(itsCavity_m.get());
+ double orig_phi = element->getPhasem();
+ apVeto = element->getAutophaseVeto();
+ if (apVeto) {
+ INFOMSG(level1 << " ----> APVETO -----> "
+ << element->getName() << endl);
+ return orig_phi;
+ }
+ // INFOMSG(level1 << itsCavity_m->getName() << ", "
+ // << "phase = " << orig_phi << " rad" << endl);
+
+ Phimax = element->getAutoPhaseEstimate(getEnergyMeV(refP),
+ t,
+ itsReference_m.getQ(),
+ itsReference_m.getM() * 1e-6);
+
+ } else {
+ RFCavity *element = static_cast<RFCavity *>(itsCavity_m.get());
+ double orig_phi = element->getPhasem();
+ apVeto = element->getAutophaseVeto();
+ if (apVeto) {
+ INFOMSG(level1 << " ----> APVETO -----> "
+ << element->getName() << endl);
+ return orig_phi;
+ }
+ // INFOMSG(level1 << itsCavity_m->getName() << ", "
+ // << "phase = " << orig_phi << " rad" << endl);
+
+ Phimax = element->getAutoPhaseEstimate(getEnergyMeV(refP),
+ t,
+ itsReference_m.getQ(),
+ itsReference_m.getM() * 1e-6);
+ }
+
+ return std::fmod(Phimax + Physics::two_pi, Physics::two_pi);
+}
+
+std::pair<double, double> CavityAutophaser::optimizeCavityPhase(double initialPhase,
+ double t,
+ double dt) {
+
+ double originalPhase = 0.0;
+ if(itsCavity_m->getType() == ElementBase::TRAVELINGWAVE) {
+ TravelingWave *element = static_cast<TravelingWave *>(itsCavity_m.get());
+ originalPhase = element->getPhasem();
+
+ if (element->getAutophaseVeto()) {
+ std::pair<double, double> status(originalPhase, Util::getEnergy(initialP_m, itsReference_m.getM() * 1e-6));
+ return status;
+ }
+ } else {
+ RFCavity *element = static_cast<RFCavity *>(itsCavity_m.get());
+ originalPhase = element->getPhasem();
+
+ if (element->getAutophaseVeto()) {
+ std::pair<double, double> status(originalPhase, Util::getEnergy(initialP_m, itsReference_m.getM() * 1e-6));
+ return status;
+ }
+ }
+
+ double Phimax = initialPhase;
+ double phi = initialPhase;
+ double dphi = Physics::pi / 360.0;
+ const int numRefinements = Options::autoPhase;
+
+ int j = -1;
+
+ double E = track(initialR_m, initialP_m, t, dt, phi);
+ double Emax = E;
+ do {
+ j ++;
+ Emax = E;
+ initialPhase = phi;
+ phi -= dphi;
+ E = track(initialR_m, initialP_m, t, dt, phi);
+ } while(E > Emax);
+
+ if(j == 0) {
+ phi = initialPhase;
+ E = Emax;
+ j = -1;
+ do {
+ j ++;
+ Emax = E;
+ initialPhase = phi;
+ phi += dphi;
+ E = track(initialR_m, initialP_m, t, dt, phi);
+ } while(E > Emax);
+ }
+
+ for(int rl = 0; rl < numRefinements; ++ rl) {
+ dphi /= 2.;
+ phi = initialPhase - dphi;
+ E = track(initialR_m, initialP_m, t, dt, phi);
+ if(E > Emax) {
+ initialPhase = phi;
+ Emax = E;
+ } else {
+ phi = initialPhase + dphi;
+ E = track(initialR_m, initialP_m, t, dt, phi);
+ if(E > Emax) {
+ initialPhase = phi;
+ Emax = E;
+ }
+ }
+ }
+ Phimax = std::fmod(initialPhase + Physics::two_pi, Physics::two_pi);
+
+ E = track(initialR_m, initialP_m, t, dt, Phimax + originalPhase);
+ std::pair<double, double> status(Phimax, E);
+ return status;
+}
+
+double CavityAutophaser::track(Vector_t R,
+ Vector_t P,
+ double t,
+ const double dt,
+ const double phase) const {
+ const Vector_t &refP = initialP_m;
+ double initialPhase = 0.0;
+ double finalMomentum = 0.0;
+
+ if(itsCavity_m->getType() == ElementBase::TRAVELINGWAVE) {
+ TravelingWave *tws = static_cast<TravelingWave *>(itsCavity_m.get());
+ initialPhase = tws->getPhasem();
+ tws->setPhasem(phase);
+ std::pair<double, double> pe = tws->trackOnAxisParticle(refP(2),
+ t,
+ dt,
+ itsReference_m.getQ(),
+ itsReference_m.getM() * 1e-6);
+ finalMomentum = pe.first;
+ tws->updatePhasem(initialPhase);
+ } else {
+ RFCavity *rfc = static_cast<RFCavity *>(itsCavity_m.get());
+ initialPhase = rfc->getPhasem();
+ rfc->setPhasem(phase);
+
+ std::pair<double, double> pe = rfc->trackOnAxisParticle(refP(2),
+ t,
+ dt,
+ itsReference_m.getQ(),
+ itsReference_m.getM() * 1e-6);
+ finalMomentum = pe.first;
+ rfc->setPhasem(initialPhase);
+ }
+ double finalGamma = sqrt(1.0 + finalMomentum * finalMomentum);
+ double finalKineticEnergy = (finalGamma - 1.0) * itsReference_m.getM() * 1e-6;
+ return finalKineticEnergy;
+}
\ No newline at end of file
diff --git a/src/Algorithms/CavityAutophaser.h b/src/Algorithms/CavityAutophaser.h
new file mode 100644
index 0000000000000000000000000000000000000000..bb3aef4b392f115d636e51a4310e6f90b89904ed
--- /dev/null
+++ b/src/Algorithms/CavityAutophaser.h
@@ -0,0 +1,51 @@
+#ifndef CAVITYAUTOPHASER
+#define CAVITYAUTOPHASER
+
+#include "AbsBeamline/Component.h"
+#include "Algorithms/PartData.h"
+
+class CavityAutophaser {
+public:
+ CavityAutophaser(const PartData &ref,
+ std::shared_ptr<Component> cavity);
+
+ ~CavityAutophaser();
+
+ double getPhaseAtMaxEnergy(const Vector_t &R,
+ const Vector_t &P,
+ double t,
+ double dt);
+
+private:
+ double guessCavityPhase(double t);
+ std::pair<double, double> optimizeCavityPhase(double initialGuess,
+ double t,
+ double dt);
+
+ double track(Vector_t R,
+ Vector_t P,
+ double t,
+ const double dt,
+ const double phase) const;
+ double getEnergyMeV(const Vector_t &P);
+ double getMomentum(double kineticEnergyMeV);
+
+ const PartData &itsReference_m;
+ std::shared_ptr<Component> itsCavity_m;
+
+ Vector_t initialR_m;
+ Vector_t initialP_m;
+
+};
+
+inline
+double CavityAutophaser::getEnergyMeV(const Vector_t &P) {
+ return itsReference_m.getM() * 1e-6 * (sqrt(dot(P,P) + 1) - 1);
+}
+
+inline
+double CavityAutophaser::getMomentum(double kineticEnergyMeV) {
+ return sqrt(std::pow(kineticEnergyMeV / (itsReference_m.getM() * 1e-6) + 1, 2) - 1);
+}
+
+#endif
\ No newline at end of file
diff --git a/src/Algorithms/IndexMap.cpp b/src/Algorithms/IndexMap.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..635299844244aebb8b94518b2add40189495a7f2
--- /dev/null
+++ b/src/Algorithms/IndexMap.cpp
@@ -0,0 +1,309 @@
+#include "Algorithms/IndexMap.h"
+#include "AbstractObjects/OpalData.h"
+#include "AbsBeamline/Multipole.h"
+#include "AbsBeamline/Bend.h"
+#include "Utilities/Util.h"
+#include "Physics/Physics.h"
+#include "OPALconfig.h"
+
+#include <boost/filesystem.hpp>
+
+#include <limits>
+#include <iostream>
+#include <fstream>
+
+extern Inform *gmsg;
+
+IndexMap::IndexMap():
+ map_m(),
+ totalPathLength_m(0.0),
+ oneMinusEpsilon_m(1.0 - std::numeric_limits<double>::epsilon())
+{ }
+
+void IndexMap::print(std::ostream &out) const {
+ out << "Size of map " << map_m.size() << " sections " << std::endl;
+ out << std::fixed << std::setprecision(6);
+ auto mapIti = map_m.begin();
+ auto mapItf = map_m.end();
+ for (; mapIti != mapItf; mapIti++) {
+ const auto key = (*mapIti).first;
+ const auto val = (*mapIti).second;
+ out << "Key: (" << std::setw(14) << key.first << "-" << std::setw(14) << key.second << ") number of overlapping elements " << val.size() << "\n";
+ for (auto element: val) {
+ out << std::setw(37) << " " << element->getName() << "\n";
+ }
+ }
+}
+
+IndexMap::value_t IndexMap::query(key_t::first_type s, key_t::second_type ds) {
+ const double lowerLimit = (ds < s? s - ds: 0);
+ const double upperLimit = std::min(totalPathLength_m, s + ds);
+ value_t elementSet;
+
+ map_t::reverse_iterator rit = map_m.rbegin();
+ if (rit != map_m.rend() && lowerLimit > (*rit).first.second) {
+ throw OutOfBounds("IndexMap::query", "out of bounds");
+ }
+
+ map_t::iterator it = map_m.begin();
+ const map_t::iterator end = map_m.end();
+
+ for (; it != end; ++ it) {
+ const double low = (*it).first.first;
+ const double high = (*it).first.second;
+
+ if (lowerLimit < high && upperLimit >= low) break;
+ }
+
+ if (it == end) return elementSet;
+
+ map_t::iterator last = std::next(it);
+ for (; last != end; ++ last) {
+ const double low = (*last).first.first;
+
+ if (upperLimit < low) break;
+ }
+
+ for (; it != last; ++ it) {
+ const value_t &a = (*it).second;
+ elementSet.insert(a.cbegin(), a.cend());
+ }
+
+ return elementSet;
+}
+
+void IndexMap::tidyUp() {
+ map_t::reverse_iterator rit = map_m.rbegin();
+
+ if (rit != map_m.rend() && (*rit).second.size() == 0) {
+ map_m.erase(std::next(rit).base());
+ }
+}
+
+enum elements {
+ DIPOLE = 0,
+ QUADRUPOLE,
+ SEXTUPOLE,
+ OCTUPOLE,
+ DECAPOLE,
+ MULTIPOLE,
+ SOLENOID,
+ RFCAVITY,
+ MONITOR,
+ SIZE
+};
+
+void IndexMap::saveSDDS(double startS) const {
+ std::string fileName(OpalData::getInstance()->getInputBasename() + "_ElementPositions.sdds");
+ std::ofstream sdds;
+ if (OpalData::getInstance()->hasPriorTrack() && boost::filesystem::exists(fileName)) {
+ Util::rewindLinesSDDS(fileName, startS, false);
+ sdds.open(fileName, std::ios::app);
+ } else {
+ sdds.open(fileName);
+
+ std::string indent(" ");
+
+ sdds << "SDDS1\n"
+ << "&description \n"
+ << indent << "text=\"Element positions '" << OpalData::getInstance()->getInputFn() << "'\", \n"
+ << indent << "contents=\"element positions\" \n"
+ << "&end\n";
+ sdds << "¶meter\n"
+ << indent << "name=revision, \n"
+ << indent << "type=string,\n"
+ << indent << "description=\"git revision of opal\"\n"
+ << "&end\n";
+ sdds << "&column \n"
+ << indent << "name=s, \n"
+ << indent << "type=double, \n"
+ << indent << "units=m, \n"
+ << indent << "description=\"1 longitudinal position\" \n"
+ << "&end\n";
+ sdds << "&column \n"
+ << indent << "name=dipole, \n"
+ << indent << "type=float, \n"
+ << indent << "units=1, \n"
+ << indent << "description=\"2 dipole field present\" \n"
+ << "&end\n";
+ sdds << "&column \n"
+ << indent << "name=quadrupole, \n"
+ << indent << "type=float, \n"
+ << indent << "units=1, \n"
+ << indent << "description=\"3 quadrupole field present\" \n"
+ << "&end\n";
+ sdds << "&column \n"
+ << indent << "name=sextupole, \n"
+ << indent << "type=float, \n"
+ << indent << "units=1, \n"
+ << indent << "description=\"4 sextupole field present\" \n"
+ << "&end\n";
+ sdds << "&column \n"
+ << indent << "name=octupole, \n"
+ << indent << "type=float, \n"
+ << indent << "units=1, \n"
+ << indent << "description=\"5 octupole field present\" \n"
+ << "&end\n";
+ sdds << "&column \n"
+ << indent << "name=decapole, \n"
+ << indent << "type=float, \n"
+ << indent << "units=1, \n"
+ << indent << "description=\"6 decapole field present\" \n"
+ << "&end\n";
+ sdds << "&column \n"
+ << indent << "name=multipole, \n"
+ << indent << "type=float, \n"
+ << indent << "units=1, \n"
+ << indent << "description=\"7 higher multipole field present\" \n"
+ << "&end\n";
+ sdds << "&column \n"
+ << indent << "name=solenoid, \n"
+ << indent << "type=float, \n"
+ << indent << "units=1, \n"
+ << indent << "description=\"8 solenoid field present\" \n"
+ << "&end\n";
+ sdds << "&column \n"
+ << indent << "name=rfcavity, \n"
+ << indent << "type=float, \n"
+ << indent << "units=1, \n"
+ << indent << "description=\"9 RF field present\" \n"
+ << "&end\n";
+ sdds << "&column \n"
+ << indent << "name=monitor, \n"
+ << indent << "type=float, \n"
+ << indent << "units=1, \n"
+ << indent << "description=\"10 monitor present\" \n"
+ << "&end\n";
+ sdds << "&column \n"
+ << indent << "name=element_names, \n"
+ << indent << "type=string, \n"
+ << indent << "description=\"names of elements\" \n"
+ << "&end\n";
+ sdds << "&data \n"
+ << indent << "mode=ascii, \n"
+ << indent << "no_row_counts=1 \n"
+ << "&end\n";
+
+ sdds << PACKAGE_NAME << " " << PACKAGE_VERSION_STR << " git rev. " << Util::getGitRevision() << std::endl;
+ }
+
+ std::vector<std::vector<int> > allItems(SIZE);
+ std::vector<double> allPositions;
+ std::vector<std::string> allNames;
+ std::vector<double> typeMultipliers = {3.3333e-1, 1.0, 0.5, 0.25, 1.0, 1.0, 1.0, 1.0, 1.0};
+ unsigned int counter = 0;
+
+ auto mapIti = map_m.begin();
+ auto mapItf = map_m.end();
+ for (; mapIti != mapItf; mapIti++) {
+ const auto key = (*mapIti).first;
+ const auto val = (*mapIti).second;
+
+ std::vector<int> items(SIZE, 0);
+ std::string names("");
+ for (auto element: val) {
+ switch (element->getType()) {
+ case ElementBase::RBEND:
+ case ElementBase::SBEND:
+ {
+ const Bend* bend = static_cast<const Bend*>(element.get());
+ if (bend->getRotationAboutZ() > 0.5 * Physics::pi &&
+ bend->getRotationAboutZ() < 1.5 * Physics::pi) {
+ items[DIPOLE] = -1;
+ } else {
+ items[DIPOLE] = 1;
+ }
+ }
+ break;
+ case ElementBase::MULTIPOLE:
+ {
+ const Multipole* mult = static_cast<const Multipole*>(element.get());
+ switch(mult->getMaxNormalComponentIndex()) {
+ case 1:
+ items[DIPOLE] = (mult->isFocusing(0)? 1: -1);
+ break;
+ case 2:
+ items[QUADRUPOLE] = (mult->isFocusing(1)? 1: -1);
+ break;
+ case 3:
+ items[SEXTUPOLE] = (mult->isFocusing(2)? 1: -1);
+ break;
+ case 4:
+ items[OCTUPOLE] = (mult->isFocusing(3)? 1: -1);
+ break;
+ case 5:
+ items[DECAPOLE] = (mult->isFocusing(4)? 1: -1);
+ break;
+ default:
+ items[MULTIPOLE] = 1;
+ }
+ }
+ break;
+ case ElementBase::SOLENOID:
+ items[SOLENOID] = 1;
+ break;
+ case ElementBase::RFCAVITY:
+ case ElementBase::TRAVELINGWAVE:
+ items[RFCAVITY] = 1;
+ break;
+ case ElementBase::MONITOR:
+ items[MONITOR] = 1;
+ break;
+ default:
+ continue;
+ }
+
+ names += element->getName() + ", ";
+ }
+
+ if (names.length() == 0) continue;
+
+ allPositions.push_back(key.first);
+ allPositions.push_back(key.first);
+ allPositions.push_back(key.second);
+ allPositions.push_back(key.second);
+
+ allNames.push_back("");
+ allNames.push_back(names.substr(0, names.length() - 2));
+ allNames.push_back(allNames.back());
+ allNames.push_back("");
+
+ for (unsigned int i = 0; i < SIZE; ++ i) {
+ allItems[i].push_back(0);
+ allItems[i].push_back(items[i]);
+ allItems[i].push_back(items[i]);
+ allItems[i].push_back(0);
+ }
+
+ ++ counter;
+ }
+
+ if (counter == 0) return;
+
+ const unsigned int totalSize = counter;
+ for (unsigned int i = 0; i < SIZE; ++ i) {
+ for (unsigned int j = 0; j < totalSize - 1; ++ j) {
+ if (allItems[i][4 * j + 1] == 0) continue;
+ if (allItems[i][4 * (j + 1) + 1] == 0) continue;
+ if (allItems[i][4 * j + 1] * allItems[i][4 * (j + 1) + 1] < 0) continue;
+ if (std::abs(allPositions[4 * j + 3] - allPositions[4 * (j + 1)]) > 1e-6) continue;
+
+ allItems[i][4 * j + 3] = allItems[i][4 * (j + 1)] = allItems[i][4 * j + 1];
+ }
+ }
+
+ for (unsigned int j = 0; j < totalSize - 1; ++ j) {
+ allItems[RFCAVITY][4 * j + 2] = -allItems[RFCAVITY][4 * j + 1];
+ }
+
+ for (unsigned int i = 0; i < 4 * totalSize; ++ i) {
+ sdds << std::setw(16) << std::setprecision(8) << allPositions[i];
+
+ sdds << std::setw(10) << std::setprecision(5) << allItems[0][i] * typeMultipliers[0];
+ for (unsigned int j = 1; j < SIZE; ++ j)
+ sdds << std::setw(6) << std::setprecision(3) << allItems[j][i] * typeMultipliers[j];
+ sdds << " \"" << allNames[i] << "\"\n";
+ }
+
+ sdds.close();
+}
\ No newline at end of file
diff --git a/src/Algorithms/IndexMap.h b/src/Algorithms/IndexMap.h
new file mode 100644
index 0000000000000000000000000000000000000000..67607d741b45877675b9b3d3364a5a8e07fb28db
--- /dev/null
+++ b/src/Algorithms/IndexMap.h
@@ -0,0 +1,92 @@
+#ifndef OPAL_INDEXMAP_H
+#define OPAL_INDEXMAP_H
+
+#include <ostream>
+
+#include "AbsBeamline/Component.h"
+#include "Utilities/OpalException.h"
+
+#include <map>
+#include <set>
+#include <utility>
+
+
+class IndexMap
+{
+public:
+ typedef std::pair<double, double> key_t;
+ typedef std::set<std::shared_ptr<Component> > value_t;
+
+ IndexMap();
+
+ void add(key_t::first_type initialStep, key_t::second_type finalStep, const value_t &val);
+
+ value_t query(key_t::first_type s, key_t::second_type ds);
+
+ void tidyUp();
+
+ void print(std::ostream&) const;
+ void saveSDDS(double startS) const;
+ size_t size() const;
+
+ class OutOfBounds: public OpalException {
+ public:
+ OutOfBounds(const std::string &meth, const std::string &msg):
+ OpalException(meth, msg) { }
+
+ OutOfBounds(const OutOfBounds &rhs):
+ OpalException(rhs) { }
+
+ virtual ~OutOfBounds() { }
+
+ private:
+ OutOfBounds();
+ };
+
+private:
+ class myCompare {
+ public:
+ bool operator()(const key_t x , const key_t y)
+ {
+ if (x.first < y.first) return true;
+
+ if (x.first == y.first) {
+ if (x.second < y.second) return true;
+ }
+
+ return false;
+ }
+ };
+
+ typedef std::map<key_t, value_t, myCompare> map_t;
+ map_t map_m;
+ double totalPathLength_m;
+ const double oneMinusEpsilon_m;
+};
+
+inline
+void IndexMap::add(key_t::first_type initialS, key_t::second_type finalS, const value_t &val) {
+ key_t key(initialS, finalS * oneMinusEpsilon_m);
+ map_m.insert(std::pair<key_t, value_t>(key, val));
+ totalPathLength_m = (*map_m.rbegin()).first.second;
+}
+
+inline
+size_t IndexMap::size() const {
+ return map_m.size();
+}
+
+inline
+std::ostream& operator<< (std::ostream &out, const IndexMap &im)
+{
+ im.print(out);
+ return out;
+}
+
+inline
+Inform& operator<< (Inform &out, const IndexMap &im) {
+ im.print(out.getStream());
+ return out;
+}
+
+#endif
\ No newline at end of file
diff --git a/src/Algorithms/NilTracker.cpp b/src/Algorithms/NilTracker.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..c83dd762849167788741330e1737fb47cc85f46b
--- /dev/null
+++ b/src/Algorithms/NilTracker.cpp
@@ -0,0 +1,21 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+#include "Algorithms/NilTracker.h"
+
+NilTracker::NilTracker(const Beamline &beamline,
+ const PartData &reference,
+ bool revBeam,
+ bool revTrack):
+ Tracker(beamline, reference, revBeam, revTrack)
+{ }
+
+
+NilTracker::~NilTracker() {
+
+}
+
+void NilTracker::execute() {
+
+}
\ No newline at end of file
diff --git a/src/Algorithms/NilTracker.h b/src/Algorithms/NilTracker.h
new file mode 100644
index 0000000000000000000000000000000000000000..c5a6dc899e9e868a1c3fccb34649876d38feccdc
--- /dev/null
+++ b/src/Algorithms/NilTracker.h
@@ -0,0 +1,87 @@
+#ifndef OPAL_NILTRACKER_H
+#define OPAL_NILTRACKER_H
+
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#define NIL_VISITELEMENT(elem) virtual void visit##elem(const elem &) { }
+
+#include "Algorithms/Tracker.h"
+
+class BMultipoleField;
+class PartBunch;
+class AlignWrapper;
+class BeamBeam;
+class Collimator;
+class Corrector;
+class CyclotronValley;
+class Degrader;
+class Diagnostic;
+class Drift;
+class ElementBase;
+class Lambertson;
+class Marker;
+class Monitor;
+class Multipole;
+class ParallelPlate;
+class Probe;
+class RBend;
+class RFCavity;
+class RFQuadrupole;
+class SBend;
+class Separator;
+class Septum;
+class Solenoid;
+class TravelingWave;
+
+class NilTracker: public Tracker {
+
+public:
+ /// Constructor.
+ explicit NilTracker(const Beamline &beamline,
+ const PartData &reference,
+ bool revBeam,
+ bool revTrack);
+
+ virtual ~NilTracker();
+
+ NIL_VISITELEMENT(AlignWrapper)
+ NIL_VISITELEMENT(Beamline)
+ NIL_VISITELEMENT(BeamBeam)
+ NIL_VISITELEMENT(Collimator)
+ NIL_VISITELEMENT(Corrector)
+ NIL_VISITELEMENT(CyclotronValley)
+ NIL_VISITELEMENT(Degrader)
+ NIL_VISITELEMENT(Diagnostic)
+ NIL_VISITELEMENT(Drift)
+ NIL_VISITELEMENT(Lambertson)
+ NIL_VISITELEMENT(Marker)
+ NIL_VISITELEMENT(Monitor)
+ NIL_VISITELEMENT(Multipole)
+ NIL_VISITELEMENT(ParallelPlate)
+ NIL_VISITELEMENT(Probe)
+ NIL_VISITELEMENT(RBend)
+ NIL_VISITELEMENT(RFCavity)
+ NIL_VISITELEMENT(RFQuadrupole)
+ NIL_VISITELEMENT(SBend)
+ NIL_VISITELEMENT(Separator)
+ NIL_VISITELEMENT(Septum)
+ NIL_VISITELEMENT(Solenoid)
+ NIL_VISITELEMENT(TravelingWave)
+
+ virtual void execute();
+
+private:
+
+ NilTracker();
+ NilTracker(const NilTracker &);
+
+ void operator=(const NilTracker &);
+};
+
+#endif // OPAL_NILTRACKER_H
\ No newline at end of file
diff --git a/src/Algorithms/OrbitThreader.cpp b/src/Algorithms/OrbitThreader.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..348a4287264974df54527100a9ef5cefe2abf955
--- /dev/null
+++ b/src/Algorithms/OrbitThreader.cpp
@@ -0,0 +1,384 @@
+#include "Algorithms/OrbitThreader.h"
+#include "Algorithms/CavityAutophaser.h"
+
+#include "AbsBeamline/RFCavity.h"
+#include "AbsBeamline/TravelingWave.h"
+
+#include "AbstractObjects/OpalData.h"
+#include "BasicActions/Option.h"
+#include "Utilities/Options.h"
+
+#include "Utilities/OpalException.h"
+#include "Utilities/Util.h"
+
+#include <boost/filesystem.hpp>
+
+#include <iostream>
+#include <limits>
+
+#define HITMATERIAL 0x80000000
+#define EOL 0x40000000
+#define EVERYTHINGFINE 0x00000000
+extern Inform *gmsg;
+
+OrbitThreader::OrbitThreader(const PartData &ref,
+ const Vector_t &r,
+ const Vector_t &p,
+ double s,
+ double maxDiffZBunch,
+ double t,
+ double dt,
+ size_t maxIntegSteps,
+ double zstop,
+ OpalBeamline &bl) :
+ r_m(r),
+ p_m(p),
+ pathLength_m(s),
+ time_m(t),
+ initialTime_m(t),
+ dt_m(dt),
+ maxIntegSteps_m(maxIntegSteps),
+ zstop_m(zstop),
+ itsOpalBeamline_m(bl),
+ errorFlag_m(0),
+ integrator_m(ref),
+ reference_m(ref)
+{
+ if (Ippl::myNode() == 0) {
+ std::string fileName = OpalData::getInstance()->getInputBasename() + "_DesignPath.dat";
+ if (Options::openMode == Options::WRITE || !boost::filesystem::exists(fileName)) {
+ logger_m.open(fileName);
+ logger_m << "#"
+ << std::setw(17) << "1 - s"
+ << std::setw(18) << "2 - Rx"
+ << std::setw(18) << "3 - Ry"
+ << std::setw(18) << "4 - Rz"
+ << std::setw(18) << "5 - Px"
+ << std::setw(18) << "6 - Py"
+ << std::setw(18) << "7 - Pz"
+ << std::setw(18) << "8 - Efx"
+ << std::setw(18) << "9 - Efy"
+ << std::setw(18) << "10 - Efz"
+ << std::setw(18) << "11 - Bfx"
+ << std::setw(18) << "12 - Bfy"
+ << std::setw(18) << "13 - Bfz"
+ << std::setw(18) << "14 - Ekin"
+ << std::setw(18) << "15 - t"
+ << std::endl;
+ } else {
+ logger_m.open(fileName, std::ios_base::app);
+ }
+
+ loggingFrequency_m = std::max(1.0, floor(1e-11 / dt_m + 0.5));
+ } else {
+ loggingFrequency_m = std::numeric_limits<size_t>::max();
+ }
+
+ dZ_m = std::min(pathLength_m, std::max(0.0, maxDiffZBunch));
+}
+
+void OrbitThreader::execute() {
+ double initialPathLength = pathLength_m;
+ trackBack();
+ Vector_t nextR = r_m / (Physics::c * dt_m);
+ integrator_m.push(nextR, p_m, dt_m);
+ nextR *= Physics::c * dt_m;
+ auto allElements = itsOpalBeamline_m.getElementByType(ElementBase::ANY);
+ std::set<std::string> visitedElements;
+ setDesignEnergy(allElements, visitedElements);
+
+ auto elementSet = itsOpalBeamline_m.getElements(nextR);
+ errorFlag_m = EVERYTHINGFINE;
+ do {
+ if (containsCavity(elementSet)) {
+ autophaseCavities(elementSet);
+ }
+
+ double initialS = pathLength_m;
+ Vector_t initialR = r_m;
+ Vector_t initialP = p_m;
+ integrate(elementSet, maxIntegSteps_m);
+
+ registerElement(elementSet, initialS, initialR, initialP);
+
+ if (errorFlag_m == HITMATERIAL) {
+ pathLength_m += 1.0;
+ }
+
+ imap_m.add(initialS, pathLength_m, elementSet);
+
+ IndexMap::value_t::const_iterator it = elementSet.begin();
+ const IndexMap::value_t::const_iterator end = elementSet.end();
+ for (; it != end; ++ it) {
+ visitedElements.insert((*it)->getName());
+ }
+
+ setDesignEnergy(allElements, visitedElements);
+
+ if (errorFlag_m == EVERYTHINGFINE) {
+ Vector_t nextR = r_m / (Physics::c * dt_m);
+ integrator_m.push(nextR, p_m, dt_m);
+ nextR *= Physics::c * dt_m;
+
+ elementSet = itsOpalBeamline_m.getElements(nextR);
+ }
+ } while ((time_m - initialTime_m) / dt_m < maxIntegSteps_m &&
+ errorFlag_m != HITMATERIAL &&
+ errorFlag_m != EOL);
+
+ // imap_m.tidyUp();
+ *gmsg << level1 << __DBGMSG__ << imap_m << endl;
+ imap_m.saveSDDS(initialPathLength);
+
+ processElementRegister();
+}
+
+void OrbitThreader::integrate(const IndexMap::value_t &activeSet, size_t maxSteps) {
+ static size_t step = 0;
+ Vector_t nextR;
+ do {
+ errorFlag_m = EVERYTHINGFINE;
+
+ IndexMap::value_t::const_iterator it = activeSet.begin();
+ const IndexMap::value_t::const_iterator end = activeSet.end();
+ Vector_t oldR = r_m;
+
+ r_m /= Physics::c * dt_m;
+ integrator_m.push(r_m, p_m, dt_m);
+ r_m *= Physics::c * dt_m;
+
+ Vector_t Ef(0.0), Bf(0.0);
+ std::string names("\t");
+ for (; it != end; ++ it) {
+ Vector_t localR = itsOpalBeamline_m.transformToLocalCS(*it, r_m);
+ Vector_t localP = itsOpalBeamline_m.rotateToLocalCS(*it, p_m);
+ Vector_t localE(0.0), localB(0.0);
+
+ if ((*it)->applyToReferenceParticle(localR, localP, time_m + 0.5 * dt_m, localE, localB)) {
+ errorFlag_m = HITMATERIAL;
+ return;
+ }
+ names += (*it)->getName() + ", ";
+
+ Ef += itsOpalBeamline_m.rotateFromLocalCS(*it, localE);
+ Bf += itsOpalBeamline_m.rotateFromLocalCS(*it, localB);
+ }
+
+ if (step % loggingFrequency_m == 0 && Ippl::myNode() == 0) {
+ logger_m << std::setw(18) << std::setprecision(8) << pathLength_m + std::copysign(euclidian_norm(r_m - oldR), dt_m)
+ << std::setw(18) << std::setprecision(8) << r_m(0)
+ << std::setw(18) << std::setprecision(8) << r_m(1)
+ << std::setw(18) << std::setprecision(8) << r_m(2)
+ << std::setw(18) << std::setprecision(8) << p_m(0)
+ << std::setw(18) << std::setprecision(8) << p_m(1)
+ << std::setw(18) << std::setprecision(8) << p_m(2)
+ << std::setw(18) << std::setprecision(8) << Ef(0)
+ << std::setw(18) << std::setprecision(8) << Ef(1)
+ << std::setw(18) << std::setprecision(8) << Ef(2)
+ << std::setw(18) << std::setprecision(8) << Bf(0)
+ << std::setw(18) << std::setprecision(8) << Bf(1)
+ << std::setw(18) << std::setprecision(8) << Bf(2)
+ << std::setw(18) << std::setprecision(8) << reference_m.getM() * (sqrt(dot(p_m, p_m) + 1) - 1) * 1e-6
+ << std::setw(18) << std::setprecision(8) << (time_m + 0.5 * dt_m) * 1e9
+ << names
+ << std::endl;
+ }
+
+ r_m /= Physics::c * dt_m;
+ integrator_m.kick(r_m, p_m, Ef, Bf, dt_m);
+ integrator_m.push(r_m, p_m, dt_m);
+ r_m *= Physics::c * dt_m;
+
+ pathLength_m += std::copysign(euclidian_norm(r_m - oldR), dt_m);
+ ++ step;
+ time_m += dt_m;
+
+ nextR = r_m / (Physics::c * dt_m);
+ integrator_m.push(nextR, p_m, dt_m);
+ nextR *= Physics::c * dt_m;
+
+ if (pathLength_m > zstop_m) {
+ errorFlag_m = EOL;
+ return;
+ }
+
+ } while (((time_m - initialTime_m) / dt_m < maxSteps) &&
+ (activeSet == itsOpalBeamline_m.getElements(nextR)));
+}
+
+bool OrbitThreader::containsCavity(const IndexMap::value_t &activeSet) {
+ IndexMap::value_t::const_iterator it = activeSet.begin();
+ const IndexMap::value_t::const_iterator end = activeSet.end();
+
+ for (; it != end; ++ it) {
+ if ((*it)->getType() == ElementBase::TRAVELINGWAVE) {
+ return true;
+
+ } else if ((*it)->getType() == ElementBase::RFCAVITY) {
+ return true;
+ }
+ }
+
+ return false;
+}
+
+void OrbitThreader::autophaseCavities(const IndexMap::value_t &activeSet) {
+ IndexMap::value_t::const_iterator it = activeSet.begin();
+ const IndexMap::value_t::const_iterator end = activeSet.end();
+
+ for (; it != end; ++ it) {
+ if ((*it)->getType() == ElementBase::TRAVELINGWAVE) {
+ const TravelingWave *element = static_cast<const TravelingWave *>((*it).get());
+ if (!element->getAutophaseVeto()) {
+ Vector_t initialR = itsOpalBeamline_m.transformToLocalCS(*it, r_m);
+ Vector_t initialP = itsOpalBeamline_m.rotateToLocalCS(*it, p_m);
+
+ CavityAutophaser ap(reference_m, *it);
+ ap.getPhaseAtMaxEnergy(initialR,
+ initialP,
+ time_m,
+ dt_m);
+ }
+
+ } else if ((*it)->getType() == ElementBase::RFCAVITY) {
+ const RFCavity *element = static_cast<const RFCavity *>((*it).get());
+ if (!element->getAutophaseVeto()) {
+ Vector_t initialR = itsOpalBeamline_m.transformToLocalCS(*it, r_m);
+ Vector_t initialP = itsOpalBeamline_m.rotateToLocalCS(*it, p_m);
+
+ CavityAutophaser ap(reference_m, *it);
+ ap.getPhaseAtMaxEnergy(initialR,
+ initialP,
+ time_m,
+ dt_m);
+ }
+ }
+ }
+}
+
+
+double OrbitThreader::getMaxDesignEnergy(const IndexMap::value_t &elementSet) const
+{
+ IndexMap::value_t::const_iterator it = elementSet.begin();
+ const IndexMap::value_t::const_iterator end = elementSet.end();
+
+ double designEnergy = 0.0;
+ for (; it != end; ++ it) {
+ if ((*it)->getType() == ElementBase::TRAVELINGWAVE) {
+ const TravelingWave *element = static_cast<const TravelingWave *>((*it).get());
+ designEnergy = std::max(designEnergy, element->getDesignEnergy());
+
+ } else if ((*it)->getType() == ElementBase::RFCAVITY) {
+ const RFCavity *element = static_cast<const RFCavity *>((*it).get());
+ designEnergy = std::max(designEnergy, element->getDesignEnergy());
+ }
+ }
+
+ return designEnergy;
+}
+
+void OrbitThreader::trackBack() {
+ dt_m *= -1;
+ double initialPathLength = pathLength_m;
+
+ Vector_t nextR = r_m / (Physics::c * dt_m);
+ integrator_m.push(nextR, p_m, dt_m);
+ nextR *= Physics::c * dt_m;
+
+ while (initialPathLength - pathLength_m < dZ_m) {
+ auto elementSet = itsOpalBeamline_m.getElements(nextR);
+
+ integrate(elementSet, 1000);
+
+ nextR = r_m / (Physics::c * dt_m);
+ integrator_m.push(nextR, p_m, dt_m);
+ nextR *= Physics::c * dt_m;
+ }
+
+ dt_m *= -1;
+}
+
+void OrbitThreader::registerElement(const IndexMap::value_t &elementSet,
+ double start,
+ const Vector_t &R,
+ const Vector_t &P) {
+
+ IndexMap::value_t::const_iterator it = elementSet.begin();
+ const IndexMap::value_t::const_iterator end = elementSet.end();
+
+ for (; it != end; ++ it) {
+ bool found = false;
+ std::string name = (*it)->getName();
+ auto prior = elementRegistry_m.equal_range(name);
+
+ for (auto pit = prior.first; pit != prior.second; ++ pit) {
+ if (std::abs((*pit).second.endField_m - start) < 1e-10) {
+ found = true;
+ (*pit).second.endField_m = pathLength_m;
+ break;
+ }
+ }
+
+ if (found) continue;
+
+ Vector_t initialR = itsOpalBeamline_m.transformToLocalCS(*it, R);
+ Vector_t initialP = itsOpalBeamline_m.rotateToLocalCS(*it, P);
+ double elementEdge = start - initialR(2) * euclidian_norm(initialP) / initialP(2);
+
+ elementPosition ep = {start, pathLength_m, elementEdge};
+ elementRegistry_m.insert(std::make_pair(name, ep));
+ }
+}
+
+void OrbitThreader::processElementRegister() {
+ std::map<std::string, std::set<elementPosition, elementPositionComp> > tmpRegistry;
+
+ for (auto it = elementRegistry_m.begin(); it != elementRegistry_m.end(); ++ it) {
+ const std::string &name = (*it).first;
+ elementPosition &ep = (*it).second;
+
+ auto prior = tmpRegistry.find(name);
+ if (prior == tmpRegistry.end()) {
+ std::set<elementPosition, elementPositionComp> tmpSet;
+ tmpSet.insert(ep);
+ tmpRegistry.insert(std::make_pair(name, tmpSet));
+ continue;
+ }
+
+ std::set<elementPosition, elementPositionComp> &set = (*prior).second;
+ set.insert(ep);
+ }
+
+ auto allElements = itsOpalBeamline_m.getElementByType(ElementBase::ANY);
+ FieldList::iterator it = allElements.begin();
+ const FieldList::iterator end = allElements.end();
+ for (; it != end; ++ it) {
+ std::string name = (*it).getElement()->getName();
+ auto trit = tmpRegistry.find(name);
+ if (trit == tmpRegistry.end()) continue;
+
+ std::queue<std::pair<double, double> > range;
+ std::set<elementPosition, elementPositionComp> &set = (*trit).second;
+
+ for (auto sit = set.begin(); sit != set.end(); ++ sit) {
+ range.push(std::make_pair((*sit).elementEdge_m, (*sit).endField_m));
+ }
+ (*it).getElement()->setActionRange(range);
+ }
+}
+
+void OrbitThreader::setDesignEnergy(FieldList &allElements, const std::set<std::string> &visitedElements) {
+ double kineticEnergyeV = reference_m.getM() * (sqrt(dot(p_m, p_m) + 1.0) - 1.0);
+
+ FieldList::iterator it = allElements.begin();
+ const FieldList::iterator end = allElements.end();
+ for (; it != end; ++ it) {
+ std::shared_ptr<Component> element = (*it).getElement();
+ if (visitedElements.find(element->getName()) == visitedElements.end() &&
+ element->getType() != ElementBase::RFCAVITY &&
+ element->getType() != ElementBase::TRAVELINGWAVE) {
+
+ element->setDesignEnergy(kineticEnergyeV);
+ }
+ }
+}
\ No newline at end of file
diff --git a/src/Algorithms/OrbitThreader.h b/src/Algorithms/OrbitThreader.h
new file mode 100644
index 0000000000000000000000000000000000000000..1095bd375d1c144935e351fb14185eefb8aa18b0
--- /dev/null
+++ b/src/Algorithms/OrbitThreader.h
@@ -0,0 +1,85 @@
+#ifndef OPAL_ORBITTHREADER_H
+#define OPAL_ORBITTHREADER_H
+
+#include "Algorithms/IndexMap.h"
+#include "Algorithms/Vektor.h"
+#include "Elements/OpalBeamline.h"
+#include "Algorithms/PartPusher.h"
+
+#include <string>
+#include <map>
+
+class OrbitThreader
+{
+public:
+
+ OrbitThreader(const PartData &ref,
+ const Vector_t &r,
+ const Vector_t &p,
+ double s,
+ double maxDiffZBunch,
+ double t,
+ double dT,
+ size_t maxIntegSteps,
+ double zstop,
+ OpalBeamline &bl);
+
+ void execute();
+
+ IndexMap::value_t query(IndexMap::key_t::first_type step,
+ IndexMap::key_t::second_type length);
+
+private:
+ Vector_t r_m;
+ Vector_t p_m;
+ double pathLength_m;
+ double dZ_m;
+ double time_m;
+ const double initialTime_m;
+ double dt_m;
+ const size_t maxIntegSteps_m;
+ const double zstop_m;
+
+ OpalBeamline &itsOpalBeamline_m;
+ IndexMap imap_m;
+
+ unsigned int errorFlag_m;
+
+ BorisPusher integrator_m;
+ const PartData &reference_m;
+
+ std::ofstream logger_m;
+ size_t loggingFrequency_m;
+
+ struct elementPosition {
+ double startField_m;
+ double endField_m;
+ double elementEdge_m;
+ };
+
+ struct elementPositionComp {
+ bool operator() (const elementPosition &a, const elementPosition &b) {
+ return a.elementEdge_m < b.elementEdge_m;
+ }
+ };
+
+ std::multimap<std::string, elementPosition> elementRegistry_m;
+
+ void trackBack();
+ void integrate(const IndexMap::value_t &activeSet, size_t maxSteps);
+ bool containsCavity(const IndexMap::value_t &activeSet);
+ void autophaseCavities(const IndexMap::value_t &activeSet);
+ double getMaxDesignEnergy(const IndexMap::value_t &elementSet) const;
+
+ void registerElement(const IndexMap::value_t &elementSet, double, const Vector_t &r, const Vector_t &p);
+ void processElementRegister();
+ void setDesignEnergy(FieldList &allElements, const std::set<std::string> &visitedElements);
+};
+
+inline
+IndexMap::value_t OrbitThreader::query(IndexMap::key_t::first_type pathLength,
+ IndexMap::key_t::second_type length) {
+ return imap_m.query(pathLength, length);
+}
+
+#endif
\ No newline at end of file
diff --git a/src/Algorithms/StatisticalErrors.cpp b/src/Algorithms/StatisticalErrors.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..b38a369b88ca4e677f709cf85e1c848fb947d041
--- /dev/null
+++ b/src/Algorithms/StatisticalErrors.cpp
@@ -0,0 +1,1147 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+#include "Algorithms/StatisticalErrors.h"
+
+#include "Algorithms/StatisticalErrorsUtilities.h"
+#include "AbstractObjects/OpalData.h"
+#include "OpalConfigure/Configure.h"
+#include "OpalParser/OpalParser.h"
+#include "Parser/FileStream.h"
+#include "Structure/OpalInputInterpreter.h"
+#include "Structure/IpplInfoWrapper.h"
+#include "Structure/SDDSParser.h"
+#include "Track/Track.h"
+#include "Utilities/OpalException.h"
+#include "Utilities/Options.h"
+#include "Utilities/Timer.h"
+#include "Utilities/Util.h"
+
+#include "OPALconfig.h"
+#include "Ippl.h"
+
+#include <boost/uuid/uuid.hpp>
+#include <boost/uuid/uuid_generators.hpp>
+#include <boost/filesystem.hpp>
+#include <boost/regex.hpp>
+#include <boost/algorithm/string/trim.hpp>
+
+#include <sstream>
+#include <string>
+#include <iostream>
+#include <fstream>
+
+#define LENGTH_DIRECTORY_NAME 29
+
+extern Ippl *ippl;
+extern Inform *gmsg;
+
+namespace{
+
+ enum { NORMAL,
+ DONE };
+
+}
+
+typedef std::list<SDDS::ast::variant_t> sdds_column_data_t;
+
+StatisticalErrors::StatisticalErrors(const Beamline &beamline,
+ const PartData &reference,
+ bool revBeam,
+ bool revTrack,
+ const std::string &method,
+ unsigned int nodesPerInstance,
+ unsigned int numInstances,
+ const std::vector<std::string> &objectives):
+ Tracker(beamline, reference, revBeam, revTrack),
+ method_m(method),
+ nodesPerInstance_m(nodesPerInstance),
+ numInstances_m(numInstances),
+ objectives_m(objectives)
+{ }
+
+
+StatisticalErrors::~StatisticalErrors() {
+
+}
+
+void StatisticalErrors::execute() {
+ const bool infoState = Options::info;
+ Ippl::Comm->barrier();
+ formGroups();
+
+ std::string inputFileName;
+
+ int tag = Ippl::Comm->next_tag(IPPL_APP_TAG5, IPPL_APP_CYCLE);
+ if (Ippl::myNode() == 0) {
+ bool referenceDone = false;
+ std::vector<std::string> runningJobs(localMasters_m.size(),"");
+ inputFileName = OpalData::getInstance()->getInputFn();
+
+ OpalInputInterpreter interpreter(inputFileName);
+ interpreter.replaceString("STATISTICAL-ERRORS\\((.*?),\\s*\\d*\\s*,\\s*\\d*\\s*\\)",
+ "${1}");
+
+ removeOldDataFiles();
+
+ std::string directoryBaseName = getNextDirectoryName(false);
+ try {
+ for (unsigned int instance = 0; instance < numInstances_m; ++ instance) {
+ std::pair<int, int> source = identifyFreeReplica(tag);
+ std::string replicasFormerDirectory = runningJobs[source.second - 1];
+
+ char runNumber[6];
+ sprintf(runNumber, "%05d", instance);
+ std::string nextDir = directoryBaseName + "_run_" + std::string(runNumber);
+ if (!referenceDone) {
+ nextDir = getNextDirectoryName(true);
+ }
+ runningJobs[source.second - 1] = assignReplicaNewJob(interpreter, source, !referenceDone, nextDir, tag);
+
+ collectOutputData(replicasFormerDirectory);
+ removeLinks(replicasFormerDirectory);
+
+ referenceDone = true;
+ }
+ } catch (OpalException &ex) {
+ shutReplicasDown(tag, runningJobs);
+ throw OpalException(ex.where(), ex.what());
+ } catch (...) {
+ shutReplicasDown(tag, runningJobs);
+ throw OpalException("StatisticalErrors::execute",
+ "something went wrong");
+ }
+ shutReplicasDown(tag, runningJobs);
+
+ } else {
+ while (true) {
+ PRMessage message = getCrunchJobFromPrimary(tag);
+
+ if (message.status == DONE) break;
+
+ std::string nextDir = message.nextDirectory;
+ std::string runNumber = "";
+ if (nextDir != "reference") {
+ runNumber = "_run_" + nextDir.substr(LENGTH_DIRECTORY_NAME - 6, 5);
+ }
+ std::string inputFn = OpalData::getInstance()->getInputFn();
+ size_t startExtension = inputFn.find_last_of(".");
+ std::string baseName = inputFn.substr(0, startExtension);
+ std::string extension = inputFn.substr(startExtension);
+ inputFileName = nextDir + "/" + baseName + runNumber + extension;
+
+ Inform *origGmsg = gmsg;
+ gmsg = 0;
+
+ stashEnvironment();
+ runSimulation(inputFileName, subComm_m);
+ popEnvironment();
+
+ gmsg = origGmsg;
+ Options::info = infoState;
+ }
+ }
+ Ippl::Comm->barrier();
+
+ writeSDDSFile();
+
+ removeBinaryDataFiles();
+ Ippl::Comm->barrier();
+}
+
+void StatisticalErrors::runSimulation(const std::string &inputFileName, MPI_Comm comm) {
+ IpplInfoWrapper *newippl = new IpplInfoWrapper(inputFileName, comm);
+ unsigned int startExtension = inputFileName.find_last_of('.');
+ unsigned int startRelativePath = inputFileName.find_last_of('/');
+ std::string relativePath("");
+ if (startRelativePath != std::string::npos) {
+ relativePath = inputFileName.substr(0, startRelativePath + 1);
+ }
+ std::string outputFileName = inputFileName.substr(0,startExtension) + ".out";
+ std::ofstream output(outputFileName.c_str());
+
+ IpplTimings::TimerRef mainTimer = IpplTimings::getTimer("mainTimer");
+
+ gmsg = new Inform("OPAL ", output);
+ IpplInfo::Info->setDestination(output);
+ IpplInfo::Error->setDestination(output);
+ IpplInfo::Warn->setDestination(output);
+
+ OpalData *OPAL = OpalData::getInstance();
+
+ Configure::configure();
+ OPAL->storeInputFn(inputFileName);
+
+ IpplTimings::startTimer(mainTimer);
+
+ FileStream *is = 0;
+ try {
+ is = new FileStream(inputFileName);
+ } catch(...) {
+ is = 0;
+ throw new OpalException("StatisticalErrors::runSimulation()", "Could not open inputfile: " + inputFileName);
+ }
+
+ OpalParser *parser = new OpalParser();
+ if(is) parser->run(is);
+ IpplTimings::stopTimer(mainTimer);
+ IpplTimings::print(relativePath + "timing.dat");
+
+ Ippl::Comm->barrier();
+ processOutputData(inputFileName.substr(0, startExtension) + ".stat");
+
+ OpalData::deleteInstance();
+ IpplInfo::Info->setDestination(std::cout);
+ IpplInfo::Error->setDestination(std::cout);
+ IpplInfo::Warn->setDestination(std::cout);
+ // Fieldmap::clearDictionary();
+ delete parser;
+ // delete is; this is apparently already done in the parser.
+ delete newippl;
+ delete gmsg;
+ gmsg = 0;
+
+ output.close();
+}
+
+void StatisticalErrors::stashEnvironment() {
+ Ippl::stash();
+ IpplTimings::stash();
+ Track::stash();
+ OpalData::stashInstance();
+}
+
+void StatisticalErrors::popEnvironment() {
+ Ippl::pop();
+ IpplTimings::pop();
+ OpalData::popInstance();
+ Track::pop();
+}
+
+std::string StatisticalErrors::getNextDirectoryName(bool reference) {
+ namespace fs = boost::filesystem;
+
+ std::string nameFormat("%%%%%%%%-%%%%-%%%%");
+ if (nameFormat.length() + 11 != LENGTH_DIRECTORY_NAME) {
+ throw OpalException("StatisticalErrors::getNextDirectoryName",
+ "length of directory name not equal to " + std::to_string(LENGTH_DIRECTORY_NAME));
+ }
+
+ fs::path model(nameFormat);
+ fs::path path;
+
+ if (reference) {
+ path = fs::path("reference");
+
+ if (fs::exists(path)) {
+ fs::remove_all(path);
+ }
+ } else {
+ path = fs::unique_path(model);
+ }
+
+ return path.native();
+}
+
+void StatisticalErrors::createDirectory(const std::string &name) {
+ namespace fs = boost::filesystem;
+
+ if (!fs::exists(name))
+ fs::create_directory(name);
+}
+
+void StatisticalErrors::linkFiles(const std::string &directory) {
+ namespace fs = boost::filesystem;
+
+ if (!fs::exists(directory) || !fs::is_directory(fs::path(directory))) return;
+
+ fs::path currentPath = fs::current_path();
+ fs::path destination = currentPath;
+ destination /= fs::path(directory);
+
+ fs::directory_iterator it(currentPath);
+ fs::directory_iterator end;
+
+ std::string baseName = OpalData::getInstance()->getInputBasename();
+ std::string inputFile = OpalData::getInstance()->getInputFn();
+ std::string statFile = baseName + ".stat";
+ std::string lbalFile = baseName + ".lbal";
+ std::string H5File = baseName + ".h5";
+ std::string outputFile = baseName + ".out";
+ std::string dataDirectory = "data";
+ std::string referenceDirectory = "reference";
+ std::string errorMsg = "errormsg.txt";
+
+ boost::smatch matchResult;
+ boost::regex baseNameRe("^" + baseName + "\\..*$");
+ boost::regex emacsBackupRe(".*~$");
+ boost::regex crunchDirectoryRe("^[0-9a-fA-F]{8}-[0-9a-fA-F]{4}-[0-9a-fA-F]{4}_run_[0-9]{5}$");
+
+ for (; it != end; ++ it) {
+ std::string entry = it->path().filename().native();
+ if (entry == errorMsg ||
+ entry == dataDirectory ||
+ entry == referenceDirectory ||
+ boost::regex_match(entry, matchResult, crunchDirectoryRe) ||
+ boost::regex_match(entry, matchResult, emacsBackupRe)) continue;
+
+ if (boost::regex_match(entry, matchResult, baseNameRe) &&
+ (entry == inputFile ||
+ entry == statFile ||
+ entry == lbalFile ||
+ entry == H5File ||
+ entry == outputFile)) continue;
+
+ fs::path linksTo = destination;
+ linksTo /= fs::path(entry);
+
+ fs::create_symlink(it->path(), linksTo);
+ }
+}
+
+void StatisticalErrors::removeLinks(const std::string &directory) {
+ namespace fs = boost::filesystem;
+
+ if (!fs::exists(directory) || !fs::is_directory(fs::path(directory))) return;
+
+ fs::path currentPath = fs::current_path();
+ fs::path source = currentPath;
+ source /= fs::path(directory);
+
+ fs::directory_iterator it(source);
+ fs::directory_iterator end;
+
+ for (; it != end; ++ it) {
+ if (fs::is_symlink(it->path())) {
+ fs::remove(it->path());
+ }
+ }
+}
+
+void StatisticalErrors::formGroups() {
+ MPI_Group fullGroup;
+ unsigned int numNodes = Ippl::getNodes();
+
+ Ippl::Comm->barrier();
+ if (Ippl::myNode() == 0) {
+ groupRanks_m.push_back(0);
+
+ calcIdealDivision(numNodes);
+ std::vector<int> localRanks(numNodes, 0);
+
+ MPI_Bcast(&groupIDs_m[0], numNodes, MPI_INT, 0, Ippl::getComm());
+
+ MPI_Comm_group(Ippl::getComm(), &fullGroup);
+ MPI_Group_incl(fullGroup, 1, &groupRanks_m[0], &subGroup_m);
+ MPI_Comm_create(Ippl::getComm(), subGroup_m, &subComm_m);
+
+ MPI_Gather(MPI_IN_PLACE,
+ 1,
+ MPI_INT,
+ &localRanks[0],
+ 1,
+ MPI_INT,
+ 0,
+ Ippl::getComm());
+
+ for (unsigned int i = 1; i < numNodes; ++ i) {
+ if (localRanks[i] == 0) {
+ localMasters_m.push_back(i);
+ }
+ }
+ } else {
+ std::vector<int> groupDivision(numNodes, 0);
+ MPI_Bcast(&groupDivision[0], numNodes, MPI_INT, 0, Ippl::getComm());
+ int myGroupID = groupDivision[Ippl::myNode()];
+
+ for (unsigned int i = 1; i < numNodes; ++ i) {
+ if (groupDivision[i] == myGroupID) {
+ groupRanks_m.push_back(i);
+ }
+ }
+
+ MPI_Comm_group(Ippl::getComm(), &fullGroup);
+ MPI_Group_incl(fullGroup, groupRanks_m.size(), &groupRanks_m[0], &subGroup_m);
+ MPI_Comm_create(Ippl::getComm(), subGroup_m, &subComm_m);
+
+ MPI_Comm_rank(subComm_m, &groupDivision[0]);
+
+ MPI_Gather(&groupDivision[0],
+ 1,
+ MPI_INT,
+ &groupDivision[0],
+ 1,
+ MPI_INT,
+ 0,
+ Ippl::getComm());
+ }
+}
+
+void StatisticalErrors::calcIdealDivision(unsigned int numNodes) {
+ groupIDs_m.resize(numNodes, 0);
+ int groupID = 1;
+ for (unsigned int i = 1; i < numNodes; i += nodesPerInstance_m, ++ groupID) {
+ unsigned int end = std::min(i + nodesPerInstance_m, numNodes);
+ for (unsigned int j = i; j < end; ++ j) {
+ groupIDs_m[j] = groupID;
+ }
+ }
+}
+
+void StatisticalErrors::shutReplicasDown(int tag,
+ const std::vector<std::string> ¤tJobs) {
+ MPI_Status mpiStatus;
+ MPI_Request mpiRequest;
+ std::vector<char> sendBuffer(sizeof(int) + LENGTH_DIRECTORY_NAME);
+ int runStatus = DONE;
+
+ memcpy(&sendBuffer[0], reinterpret_cast<const char*>(&runStatus), sizeof(int));
+ for (unsigned int i = 0; i < localMasters_m.size(); ++ i) {
+ MPI_Recv(&runStatus, 1, MPI_INT, MPI_ANY_SOURCE, tag, Ippl::getComm(), &mpiStatus);
+ MPI_Isend(&sendBuffer[0],
+ sizeof(int) + LENGTH_DIRECTORY_NAME,
+ MPI_CHAR,
+ mpiStatus.MPI_SOURCE,
+ tag,
+ Ippl::getComm(),
+ &mpiRequest);
+
+ unsigned int groupID = groupIDs_m[mpiStatus.MPI_SOURCE];
+ std::string replicasFormerDirectory = currentJobs[groupID - 1];
+
+ collectOutputData(replicasFormerDirectory);
+ removeLinks(replicasFormerDirectory);
+ }
+}
+
+std::pair<int, int> StatisticalErrors::identifyFreeReplica(int tag) {
+ int runStatus;
+ MPI_Status mpiStatus;
+
+ MPI_Recv(&runStatus, 1, MPI_INT, MPI_ANY_SOURCE, tag, Ippl::getComm(), &mpiStatus);
+ std::pair<int, int> source;
+ source.first = mpiStatus.MPI_SOURCE;
+ source.second = groupIDs_m[source.first];
+
+ return source;
+}
+
+std::string StatisticalErrors::assignReplicaNewJob(const OpalInputInterpreter &interpreter,
+ const std::pair<int, int> &source,
+ bool referenceRun,
+ std::string nextDir,
+ int tag) {
+
+ int runStatus = NORMAL;
+ MPI_Request mpiRequest;
+ std::vector<char> sendBuffer(sizeof(int) + LENGTH_DIRECTORY_NAME);
+ // std::string nextDir = getNextDirectoryName(referenceRun);
+
+ createDirectory(nextDir);
+ linkFiles(nextDir);
+ std::string runNumber = "";
+ if (!referenceRun) {
+ runNumber = "_run_" + nextDir.substr(LENGTH_DIRECTORY_NAME - 6, 5);
+ }
+ std::string inputFn = OpalData::getInstance()->getInputFn();
+ size_t startExtension = inputFn.find_last_of(".");
+ std::string baseName = inputFn.substr(0, startExtension);
+ std::string extension = inputFn.substr(startExtension);
+ std::string outputFileName = nextDir + "/" + baseName + runNumber + extension;
+
+ std::ofstream ofh(outputFileName.c_str());
+
+ if (referenceRun) {
+ ofh << interpreter.processASTReference();
+ } else {
+ ofh << interpreter.processAST();
+ }
+
+ ofh.close();
+
+ memcpy(&sendBuffer[0], reinterpret_cast<const char*>(&runStatus), sizeof(int));
+ strcpy(&sendBuffer[sizeof(int)], nextDir.c_str());
+
+ MPI_Isend(&sendBuffer[0],
+ sizeof(int) + LENGTH_DIRECTORY_NAME,
+ MPI_CHAR,
+ source.first,
+ tag,
+ Ippl::getComm(),
+ &mpiRequest);
+
+ return nextDir;
+}
+
+StatisticalErrors::PRMessage StatisticalErrors::getCrunchJobFromPrimary(int tag) {
+ MPI_Status mpiStatus;
+ MPI_Request mpiRequest;
+ std::vector<char> buffer(sizeof(int) + LENGTH_DIRECTORY_NAME);
+ PRMessage message;
+ int myLocalRank;
+ MPI_Comm_rank(subComm_m, &myLocalRank);
+
+ if (myLocalRank == 0) {
+ message.status = DONE;
+ MPI_Isend(&message.status, 1, MPI_INT, 0, tag, Ippl::getComm(), &mpiRequest);
+ MPI_Recv(&buffer[0],
+ sizeof(int) + LENGTH_DIRECTORY_NAME,
+ MPI_CHAR,
+ 0,
+ tag,
+ Ippl::getComm(),
+ &mpiStatus);
+ }
+ MPI_Bcast(&buffer[0],
+ sizeof(int) + LENGTH_DIRECTORY_NAME,
+ MPI_CHAR,
+ 0,
+ subComm_m);
+
+ message.status = *reinterpret_cast<int*>(&buffer[0]);
+ message.nextDirectory = std::string(&buffer[sizeof(int)]);
+
+ return message;
+}
+
+void StatisticalErrors::collectOutputData(const std::string &directory) {
+ namespace fs = boost::filesystem;
+
+ if (!fs::exists(directory)) return;
+
+ try {
+ std::string outdataDirName = "data/";
+ std::string indataDirName = directory + "/data/";
+
+ for (std::string col: objectives_m) {
+ std::string contents;
+ std::string inFname = indataDirName + col + ".dat";
+ std::ifstream in(inFname, std::ios::binary);
+ std::string outFname = outdataDirName + col + ".dat";
+ std::ofstream out;
+
+
+ in.seekg(0, std::ios::end);
+ int sizeFile = in.tellg();
+ size_t dataSize = sizeFile - sizeof(int);
+ in.seekg(0, std::ios::beg);
+
+ contents.resize(dataSize);
+
+ if (!fs::exists(outFname)) {
+ char typeSize[sizeof(int)];
+ in.read(typeSize, sizeof(int));
+
+ out.open(outFname, std::ios::binary);
+ out.write(typeSize, sizeof(int));
+ } else {
+ in.seekg(sizeof(int));
+
+ out.open(outFname, std::ios::app | std::ios::binary);
+ }
+
+ in.read(&contents[0], contents.size());
+ out.write(&contents[0], contents.size());
+
+ out.close();
+ in.close();
+
+ fs::remove(inFname);
+ }
+ } catch (OpalException &ex) {
+ ERRORMSG(__FILE__ << ": " << __LINE__ << ": " << ex.where());
+ }
+}
+
+void StatisticalErrors::processOutputData(const std::string &sddsFileName) {
+ namespace fs = boost::filesystem;
+
+ if (Ippl::myNode() != 0 || !fs::exists(sddsFileName)) return;
+
+ std::string contents = readSDDSFile(sddsFileName);
+ SDDS::file sddsData;
+ try {
+ sddsData = parseSDDSFile(contents);
+ } catch (OpalException &ex) {
+ ERRORMSG(__FILE__ << ": " << __LINE__ << ": could not parse sdds file '" << sddsFileName << "'\n" << endl);
+ }
+
+ try {
+ size_t startExtension = sddsFileName.find_last_of('/');
+ std::string dataDirName = sddsFileName.substr(0, startExtension) + "/data/";
+ fs::create_directory(dataDirName);
+
+ for (std::string col: objectives_m) {
+
+ sdds_column_data_t values = getColumnData(sddsData, col);
+ int length = values.size();
+ std::string fname = dataDirName + col + ".dat";
+ std::ofstream out(fname, std::ios::binary);
+
+ boost::apply_visitor(DataTypeWriter(out), values.front());
+ out.write(reinterpret_cast<const char*>(&length), sizeof(int));
+
+ BinaryWriter converter(out);
+ std::for_each(values.begin(), values.end(),
+ boost::apply_visitor(converter));
+
+ out.close();
+ }
+ } catch (OpalException &ex) {
+ ERRORMSG(__FILE__ << ": " << __LINE__ << ": " << ex.where());
+ }
+}
+
+SDDS::file StatisticalErrors::parseSDDSFile(std::string & contents) {
+ typedef std::string::const_iterator iterator_t;
+ typedef SDDS::parser::file_parser<iterator_t> file_parser_t;
+ typedef SDDS::parser::skipper<iterator_t> skipper_t;
+ typedef SDDS::error_handler<iterator_t> error_handler_t;
+
+ skipper_t skipper;
+ SDDS::file sddsFile;
+ iterator_t contentsIter = contents.begin();
+ iterator_t contentsEnd = contents.end();
+ error_handler_t error_handler(contentsIter, contentsEnd);
+ file_parser_t parser(error_handler);
+
+ bool success = phrase_parse(contentsIter, contentsEnd, parser, skipper, sddsFile);
+ {
+ SDDS::parameterList::iterator piter = sddsFile.sddsParameters_m.begin();
+ SDDS::parameterList::iterator pend = sddsFile.sddsParameters_m.end();
+ for (; piter != pend && success; ++ piter) {
+ success = piter->parse(contentsIter, contentsEnd, skipper);
+ }
+ while (success && contentsIter != contentsEnd) {
+ SDDS::columnList::iterator citer = sddsFile.sddsColumns_m.begin();
+ SDDS::columnList::iterator cend = sddsFile.sddsColumns_m.end();
+ for (; citer != cend && success; ++ citer) {
+ success = citer->parse(contentsIter, contentsEnd, skipper);
+ }
+ }
+ }
+
+ if (!success || contentsIter != contentsEnd)
+ {
+ throw OpalException("StatisticalErrors::parseSDDSFile",
+ "could not parse SDDS file");
+ }
+
+ return sddsFile;
+}
+
+sdds_column_data_t StatisticalErrors::getColumnData(const SDDS::file &data,
+ const std::string &columnName) {
+ for (const SDDS::column &col: data.sddsColumns_m) {
+ if (*col.name_m == columnName) {
+ return col.values_m;
+ }
+ }
+ throw OpalException("StatisticalErrors::getColumnData",
+ "could not find column '" + columnName + "'");
+}
+
+std::string StatisticalErrors::readSDDSFile(const std::string &input) {
+ std::ifstream in(input.c_str());
+
+ if (in) {
+ std::string contents;
+ in.seekg(0, std::ios::end);
+ contents.resize(in.tellg());
+ in.seekg(0, std::ios::beg);
+
+ in.read(&contents[0], contents.size());
+
+ in.close();
+
+ return contents;
+ }
+ throw OpalException("StatisticalErrors::readSDDSFile",
+ "could not open file " + input);
+}
+
+void StatisticalErrors::writeSDDSFile() {
+
+ if (Ippl::myNode() == 0) {
+ std::map<std::string, std::vector<double> > data = distributeProcessingJobs();
+
+ std::string statName = OpalData::getInstance()->getInputBasename() + ".stat";
+ std::ofstream statOut(statName);
+ std::vector<std::string> order;
+
+ writeSDDSHeader(statOut, order);
+ writeSDDSData(statOut, data, order);
+ } else {
+ getProcessingJobFromPrimary();
+ }
+}
+
+void StatisticalErrors::writeSDDSHeader(std::ofstream &out,
+ std::vector<std::string> &order) {
+ OPALTimer::Timer simtimer;
+ std::string referenceStatFileName = "reference/" + OpalData::getInstance()->getInputBasename() + ".stat";
+ std::string referenceData = readSDDSFile(referenceStatFileName);
+ SDDS::file parsedRefData = parseSDDSFile(referenceData);
+ SDDS::columnList &columns = parsedRefData.sddsColumns_m;
+
+ std::string dateStr(simtimer.date());
+ std::string timeStr(simtimer.time());
+ out << "SDDS1\n"
+ << "&description text=\"Statistics data " << OpalData::getInstance()->getInputFn()
+ << " " << dateStr << " " << timeStr << "\",\n contents=\"stat parameters\" &end\n"
+ << "¶meter name=processors, type=long, description=\"Number of Cores used\" &end\n"
+ << "¶meter name=revision, type=string, description=\"git revision of opal\" &end\n";
+
+ out << "&column name=s, type=double, units=m, description=\"1 longitudinal position\" &end\n";
+ order.push_back("s");
+
+ for (unsigned int i = 0; i < objectives_m.size(); ++ i) {
+ if (objectives_m[i] == "s") continue;
+ std::string curObjective = objectives_m[i];
+
+ SDDS::columnList::iterator it = columns.begin();
+ for (; it != columns.end(); ++ it) {
+ if (*(*it).name_m == curObjective) break;
+ }
+ if (it == columns.end()) continue;
+
+ out << "&column name=mean_" << curObjective << ", type=double, units="
+ << *(*it).units_m << ", description=\"" << 2 * order.size() << " mean of " << curObjective << " over all runs\" &end\n"
+ << "&column name=rms_" << curObjective << ", type=double, units="
+ << *(*it).units_m << ", description=\"" << 2 * order.size() + 1 << " rms of " << curObjective << " over all runs\" &end\n";
+
+ order.push_back(curObjective);
+ }
+
+ out << "&data mode=ascii, no_row_counts=1 &end\n";
+}
+
+void StatisticalErrors::writeSDDSData(std::ofstream &out,
+ const std::map<std::string, std::vector<double> > &data,
+ const std::vector<std::string> &order) {
+ out << Ippl::getNodes() << "\n"
+ << PACKAGE_NAME << " " << PACKAGE_VERSION_STR << " git rev. " << Util::getGitRevision() << std::endl;
+
+ size_t sizeData = data.find("s")->second.size();
+ size_t numColumns = order.size();
+ for (unsigned int i = 0; i < sizeData; ++ i) {
+ std::string colName = "s";
+ auto it = data.find(colName);
+ if (it == data.end()) break;
+ out << std::setw(13) << std::setprecision(6) << (*it).second[i];
+
+ for (unsigned int j = 0; j < numColumns; ++ j) {
+ colName = "mean_" + order[j];
+ it = data.find(colName);
+ if (it == data.end()) continue;
+ out << std::setw(13) << std::setprecision(6) << (*it).second[i];
+
+ colName = "rms_" + order[j];
+ it = data.find(colName);
+ out << std::setw(13) << std::setprecision(6) << (*it).second[i];
+ }
+ out << "\n";
+ }
+}
+
+std::map<std::string, std::vector<double> > StatisticalErrors::distributeProcessingJobs() {
+ std::map<std::string, std::vector<double> > statistics;
+
+ int tag = Ippl::Comm->next_tag(IPPL_APP_TAG5, IPPL_APP_CYCLE);
+ if (Ippl::myNode() == 0) {
+ DataSource objectiveData;
+ std::vector<double> positionSampling = getReferenceSamplingPositions();
+ sendReferenceSamplingPositions(positionSampling);
+
+ statistics.insert(std::make_pair("s", positionSampling));
+
+ size_t bufferSize = 2 * (sizeof(int) + positionSampling.size() * sizeof(double));
+ std::vector<char> messageBuffer(bufferSize);
+ unsigned int numMessages = objectives_m.size() + Ippl::getNodes() - 1;
+
+ for (unsigned int i = 0; i < numMessages; ++ i) {
+ if (i < objectives_m.size() && objectives_m[i] == "s") continue;
+ objectiveData = getProcessedDataFromReplica(tag, i, messageBuffer.size(), &messageBuffer[0]);
+
+ if (objectiveData.data.size() > 0) {
+ std::string statName = "mean_" + objectives_m[objectiveData.ID];
+ std::vector<double> meanData(objectiveData.data.begin(),
+ objectiveData.data.begin() + positionSampling.size());
+ statistics.insert(std::make_pair(statName, meanData));
+
+ statName = "rms_" + objectives_m[objectiveData.ID];
+ std::vector<double> statData(objectiveData.data.begin() + positionSampling.size(),
+ objectiveData.data.end());
+ statistics.insert(std::make_pair(statName, statData));
+ }
+
+ sendObjectiveForProcessing(tag, objectiveData.source, i, &messageBuffer[0]);
+ }
+ }
+
+ return statistics;
+}
+
+void StatisticalErrors::getProcessingJobFromPrimary() {
+
+ if (Ippl::myNode() == 0) throw OpalException("StatisticalErrors::receiveProcessingJob",
+ "Primary should not be here");
+ int tag = Ippl::Comm->next_tag(IPPL_APP_TAG5, IPPL_APP_CYCLE);
+ int objID = -1;
+ std::vector<char> messageBuffer;
+ std::vector<std::pair<double, double> > statistics;
+ std::vector<double> pdata = getReferenceSamplingPositions();
+ int length = pdata.size();
+
+ messageBuffer.resize(2 * (sizeof(int) + length * sizeof(double)));
+ while (true) {
+ if (objID > 0) copyDataToBuffer(&messageBuffer[2 * sizeof(int)], statistics);
+ sendProcessedDataToPrimary(tag, objID, length, &messageBuffer[0]);
+
+ std::pair<int, int> nextJob = getNextObjectiveToProcess(tag, &messageBuffer[0]);
+ if (nextJob.first == DONE) break;
+ objID = nextJob.second;
+
+ statistics = computeStatistics(objectives_m[objID], pdata);
+ }
+}
+
+std::vector<std::pair<double, double> >
+StatisticalErrors::computeStatistics(const std::string &objective,
+ const std::vector<double> &referencePositions) {
+ namespace fs = boost::filesystem;
+
+ std::string posName = "data/s.dat";
+ std::string inName = "data/" + objective + ".dat";
+ if (!fs::exists(posName)) {
+ throw OpalException("StatisticalErrors::computeStatistics",
+ "can't find file with sampling positions");
+ }
+ if (!fs::exists(inName)) {
+ throw OpalException("StatisticalErrors::computeStatistics",
+ "can't find file with data of objective '" + objective + "'");
+ }
+
+ std::ifstream in(inName, std::ios::binary);
+ std::ifstream pos(posName, std::ios::binary);
+
+ char testBitData, testBitPos;
+ int dataType, numDataSets = 0;
+ std::vector<double> dataSum, squaredDataSum;
+ std::vector<std::pair<double, double>> momenta;
+ dataSum.resize(referencePositions.size(), 0.0);
+ squaredDataSum.resize(referencePositions.size(), 0.0);
+ momenta.resize(referencePositions.size(), std::make_pair(0.0, 0.0));
+
+ pos.seekg(sizeof(int));
+ in.read(reinterpret_cast<char*>(&dataType), sizeof(int));
+
+ pos.get(testBitPos);
+ in.get(testBitData);
+
+ while (!in.eof() && !pos.eof()) {
+ in.putback(testBitData);
+ pos.putback(testBitPos);
+
+ std::vector<double> currentData = getNextDataset(in, pos, dataType, referencePositions);
+ for (unsigned int i = 0; i < dataSum.size(); ++ i) {
+ dataSum[i] += currentData[i];
+ squaredDataSum[i] += std::pow(currentData[i], 2.0);
+ }
+
+ ++ numDataSets;
+
+ pos.get(testBitPos);
+ in.get(testBitData);
+ }
+
+ for (unsigned int i = 0; i < dataSum.size(); ++ i) {
+ momenta[i].first = dataSum[i] / numDataSets;
+ momenta[i].second = sqrt(std::max(0.0, squaredDataSum[i] / numDataSets - std::pow(momenta[i].first, 2.0)));
+ }
+
+ return momenta;
+}
+
+std::vector<double> StatisticalErrors::interpolateSDDSData(const std::vector<double> &data,
+ const std::vector<double> &oldPositions,
+ const std::vector<double> &newPositions) {
+ unsigned int j = 0;
+ size_t newSize = newPositions.size(), oldSize = oldPositions.size();
+ std::vector<double> interpolated(newSize);
+
+ for (unsigned int i = 0; i < newSize; ++ i) {
+ while (oldPositions[j] <= newPositions[i] && j < oldSize) {
+ ++ j;
+ }
+ if (j == 0 || j == oldSize) {
+ interpolated[i] = 0.0;
+ } else {
+ double lower = data[j - 1];
+ double upper = data[j];
+ double tau = (newPositions[i] - oldPositions[j - 1]) / (oldPositions[j] - oldPositions[j - 1]);
+
+ interpolated[i] = lower + tau * (upper - lower);
+ }
+ }
+
+ return interpolated;
+}
+
+std::vector<double> StatisticalErrors::readFloatData(std::ifstream &in) {
+ int dataLength;
+ std::vector<double> data;
+ float singleSampling;
+
+ in.read(reinterpret_cast<char*>(&dataLength), sizeof(int));
+ data.resize(dataLength);
+ for (int i = 0; i < dataLength; ++ i) {
+ in.read(reinterpret_cast<char*>(&singleSampling), sizeof(float));
+ data[i] = singleSampling;
+ }
+
+ return data;
+}
+
+std::vector<double> StatisticalErrors::readDoubleData(std::ifstream &in) {
+ int dataLength;
+ std::vector<double> data;
+ double singleSampling;
+
+ in.read(reinterpret_cast<char*>(&dataLength), sizeof(int));
+ data.resize(dataLength);
+ for (int i = 0; i < dataLength; ++ i) {
+ in.read(reinterpret_cast<char*>(&singleSampling), sizeof(double));
+ data[i] = singleSampling;
+ }
+
+ return data;
+}
+
+std::vector<double> StatisticalErrors::readShortData(std::ifstream &in) {
+ int dataLength;
+ std::vector<double> data;
+ short singleSampling;
+
+ in.read(reinterpret_cast<char*>(&dataLength), sizeof(int));
+ data.resize(dataLength);
+ for (int i = 0; i < dataLength; ++ i) {
+ in.read(reinterpret_cast<char*>(&singleSampling), sizeof(short));
+ data[i] = singleSampling;
+ }
+
+ return data;
+}
+
+std::vector<double> StatisticalErrors::readLongData(std::ifstream &in) {
+ int dataLength;
+ std::vector<double> data;
+ long singleSampling;
+
+ in.read(reinterpret_cast<char*>(&dataLength), sizeof(int));
+ data.resize(dataLength);
+ for (int i = 0; i < dataLength; ++ i) {
+ in.read(reinterpret_cast<char*>(&singleSampling), sizeof(long));
+ data[i] = singleSampling;
+ }
+
+ return data;
+}
+
+void StatisticalErrors::removeOldDataFiles() {
+ removeBinaryDataFiles();
+}
+
+void StatisticalErrors::removeBinaryDataFiles() {
+ namespace fs = boost::filesystem;
+
+ if (Ippl::myNode() > 0) return;
+
+ for (std::string col: objectives_m) {
+ std::string fname = "data/" + col + ".dat";
+
+ if (fs::exists(fname)) {
+ fs::remove(fname);
+ }
+ }
+}
+
+std::vector<double> StatisticalErrors::getNextDataset(std::ifstream &dataStream,
+ std::ifstream &positionStream,
+ int dataType,
+ const std::vector<double> &referencePositions) {
+ std::vector<double> currentData;
+ std::vector<double> currentPositions = readDoubleData(positionStream);
+
+ switch(dataType) {
+ case SDDS::ast::FLOAT:
+ currentData = readFloatData(dataStream);
+ break;
+ case SDDS::ast::DOUBLE:
+ currentData = readDoubleData(dataStream);
+ break;
+ case SDDS::ast::SHORT:
+ currentData = readShortData(dataStream);
+ break;
+ case SDDS::ast::LONG:
+ currentData = readLongData(dataStream);
+ break;
+ default:
+ throw OpalException("StatisticalErrors::getNextDataset",
+ "can't compute statistics of char or string data type");
+ }
+
+ return interpolateSDDSData(currentData,
+ currentPositions,
+ referencePositions);
+}
+
+std::vector<double> StatisticalErrors::getReferenceSamplingPositions() {
+ std::vector<double> pdata;
+ if (Ippl::myNode() == 0) {
+ std::string referenceStatFileName = "reference/" + OpalData::getInstance()->getInputBasename() + ".stat";
+ std::string referenceData = readSDDSFile(referenceStatFileName);
+ SDDS::file parsedRefData = parseSDDSFile(referenceData);
+ sdds_column_data_t positions = getColumnData(parsedRefData, "s");
+ int length = positions.size();
+ pdata.resize(length);
+
+ auto it = positions.begin();
+ for (int i = 0; i < length; ++ i, ++ it) {
+ pdata[i] = boost::get<double>(*it);
+ }
+ } else {
+ int length;
+
+ MPI_Bcast(&length, 1, MPI_INT, 0, Ippl::getComm());
+ pdata.resize(length, 0.0);
+ MPI_Bcast(&pdata[0], length, MPI_DOUBLE, 0, Ippl::getComm());
+ }
+
+ return pdata;
+}
+
+void StatisticalErrors::sendReferenceSamplingPositions(std::vector<double> positionSampling) {
+ int length = positionSampling.size();
+
+ MPI_Bcast(&length, 1, MPI_INT, 0, Ippl::getComm());
+ MPI_Bcast(&positionSampling[0], length, MPI_DOUBLE, 0, Ippl::getComm());
+}
+
+StatisticalErrors::DataSource StatisticalErrors::getProcessedDataFromReplica(int tag,
+ unsigned int i,
+ unsigned int length,
+ char* messageBuffer) {
+ MPI_Status mpiStatus;
+ DataSource objectiveData;
+ objectiveData.ID = -1;
+
+ MPI_Recv(messageBuffer,
+ 2 * sizeof(int),
+ MPI_CHAR,
+ MPI_ANY_SOURCE,
+ tag,
+ Ippl::getComm(),
+ &mpiStatus);
+ objectiveData.source = mpiStatus.MPI_SOURCE;
+ memcpy(reinterpret_cast<char*>(&objectiveData.ID), messageBuffer + sizeof(int), sizeof(int));
+
+ if (objectiveData.ID >= 0) {
+ unsigned int k = 2 * sizeof(int);
+ MPI_Recv(messageBuffer + 2 * sizeof(int),
+ 2 * length * sizeof(double),
+ MPI_CHAR,
+ objectiveData.source,
+ tag,
+ Ippl::getComm(),
+ &mpiStatus);
+
+ objectiveData.data.resize(2 * length);
+ for (unsigned int j = 0; j < 2 * length; ++ j, k += sizeof(double)) {
+ memcpy(reinterpret_cast<char*>(&objectiveData.data[j]), messageBuffer + k, sizeof(double));
+ }
+ }
+ return objectiveData;
+}
+
+void StatisticalErrors::sendProcessedDataToPrimary(int tag,
+ int objectiveID,
+ unsigned int length,
+ char *messageBuffer) {
+ MPI_Request mpiRequest;
+ int runStatus = DONE;
+ memcpy(messageBuffer, reinterpret_cast<char*>(&runStatus), sizeof(int));
+ memcpy(messageBuffer + sizeof(int), reinterpret_cast<char*>(&objectiveID), sizeof(int));
+
+ MPI_Isend(messageBuffer,
+ 2 * sizeof(int),
+ MPI_CHAR,
+ 0,
+ tag,
+ Ippl::getComm(),
+ &mpiRequest);
+
+ if (objectiveID >= 0) {
+ MPI_Isend(messageBuffer + 2 * sizeof(int),
+ 2 * length * sizeof(double),
+ MPI_CHAR,
+ 0,
+ tag,
+ Ippl::getComm(),
+ &mpiRequest);
+ }
+}
+
+void StatisticalErrors::copyDataToBuffer(char *messageBuffer,
+ const std::vector<std::pair<double, double> > &statistics) {
+ char *mptr = messageBuffer;
+
+ unsigned int length = statistics.size();
+ for (unsigned int i = 0; i < length; ++ i, mptr += sizeof(double)) {
+ memcpy(mptr, reinterpret_cast<const char*>(&statistics[i].first), sizeof(double));
+ }
+ for (unsigned int i = 0; i < length; ++ i, mptr += sizeof(double)) {
+ memcpy(mptr, reinterpret_cast<const char*>(&statistics[i].second), sizeof(double));
+ }
+
+}
+
+void StatisticalErrors::sendObjectiveForProcessing(int tag,
+ int source,
+ unsigned int i,
+ char* messageBuffer) {
+ MPI_Request mpiRequest;
+ int runStatus = (i < objectives_m.size()) ? NORMAL: DONE;
+
+ memcpy(messageBuffer, reinterpret_cast<char*>(&runStatus), sizeof(int));
+ memcpy(messageBuffer + sizeof(int), reinterpret_cast<char*>(&i), sizeof(int));
+
+ MPI_Isend(messageBuffer,
+ 2 * sizeof(int),
+ MPI_CHAR,
+ source,
+ tag,
+ Ippl::getComm(),
+ &mpiRequest);
+
+}
+
+std::pair<int, int> StatisticalErrors::getNextObjectiveToProcess(int tag, char *messageBuffer) {
+ MPI_Status mpiStatus;
+ std::pair<int, int> nextJob;
+
+ MPI_Recv(messageBuffer,
+ 2 * sizeof(int),
+ MPI_CHAR,
+ 0,
+ tag,
+ Ippl::getComm(),
+ &mpiStatus);
+
+
+ memcpy(reinterpret_cast<char*>(&nextJob.first), messageBuffer, sizeof(int));
+ memcpy(reinterpret_cast<char*>(&nextJob.second), messageBuffer + sizeof(int), sizeof(int));
+
+ return nextJob;
+}
\ No newline at end of file
diff --git a/src/Algorithms/StatisticalErrors.h b/src/Algorithms/StatisticalErrors.h
new file mode 100644
index 0000000000000000000000000000000000000000..78f8f88698bb70668061a587eb0d3917608fee7c
--- /dev/null
+++ b/src/Algorithms/StatisticalErrors.h
@@ -0,0 +1,209 @@
+#ifndef OPAL_STATISTICALERRORS_H
+#define OPAL_STATISTICALERRORS_H
+
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#define SE_VISITELEMENT(elem) virtual void visit##elem(const elem &) { }
+
+#include "Algorithms/Tracker.h"
+
+#ifdef WITH_UNIT_TESTS
+#include <gtest/gtest_prod.h>
+#endif
+
+#include <boost/variant.hpp>
+#include <iostream>
+#include <list>
+
+class BMultipoleField;
+class PartBunch;
+class AlignWrapper;
+class BeamBeam;
+class Collimator;
+class Corrector;
+class CyclotronValley;
+class Degrader;
+class Diagnostic;
+class Drift;
+class ElementBase;
+class Lambertson;
+class Marker;
+class Monitor;
+class Multipole;
+class ParallelPlate;
+class Probe;
+class RBend;
+class RFCavity;
+class RFQuadrupole;
+class SBend;
+class Separator;
+class Septum;
+class Solenoid;
+class TravelingWave;
+struct OpalInputInterpreter;
+
+namespace SDDS {
+ struct file;
+
+ namespace ast {
+ typedef boost::variant<float,
+ double,
+ short,
+ long,
+ char,
+ std::string> variant_t;
+ }
+}
+
+class StatisticalErrors: public Tracker {
+
+public:
+ /// Constructor.
+ explicit StatisticalErrors(const Beamline &beamline,
+ const PartData &reference,
+ bool revBeam,
+ bool revTrack,
+ const std::string &method,
+ unsigned int nodesPerInstance,
+ unsigned int numInstances,
+ const std::vector<std::string> &objectives);
+
+ virtual ~StatisticalErrors();
+
+ SE_VISITELEMENT(AlignWrapper)
+ SE_VISITELEMENT(Beamline)
+ SE_VISITELEMENT(BeamBeam)
+ SE_VISITELEMENT(Collimator)
+ SE_VISITELEMENT(Corrector)
+ SE_VISITELEMENT(CyclotronValley)
+ SE_VISITELEMENT(Degrader)
+ SE_VISITELEMENT(Diagnostic)
+ SE_VISITELEMENT(Drift)
+ SE_VISITELEMENT(Lambertson)
+ SE_VISITELEMENT(Marker)
+ SE_VISITELEMENT(Monitor)
+ SE_VISITELEMENT(Multipole)
+ SE_VISITELEMENT(ParallelPlate)
+ SE_VISITELEMENT(Probe)
+ SE_VISITELEMENT(RBend)
+ SE_VISITELEMENT(RFCavity)
+ SE_VISITELEMENT(RFQuadrupole)
+ SE_VISITELEMENT(SBend)
+ SE_VISITELEMENT(Separator)
+ SE_VISITELEMENT(Septum)
+ SE_VISITELEMENT(Solenoid)
+ SE_VISITELEMENT(TravelingWave)
+
+ virtual void execute();
+
+private:
+
+ StatisticalErrors();
+ StatisticalErrors(const StatisticalErrors &);
+
+ void operator=(const StatisticalErrors &);
+
+ void runSimulation(const std::string &inputFileName, MPI_Comm comm);
+ void stashEnvironment();
+ void popEnvironment();
+
+ static std::string getNextDirectoryName(bool reference);
+ void createDirectory(const std::string &name);
+ void linkFiles(const std::string &path);
+ void removeLinks(const std::string &path);
+
+ void calcIdealDivision(unsigned int numNodes);
+ void formGroups();
+ void shutReplicasDown(int tag,
+ const std::vector<std::string> ¤tJobs);
+ std::pair<int, int> identifyFreeReplica(int tag);
+ std::string assignReplicaNewJob(const OpalInputInterpreter &interpreter,
+ const std::pair<int, int> &source,
+ bool referenceRun,
+ std::string nextDir,
+ int tag);
+
+ struct PRMessage {
+ int status;
+ std::string nextDirectory;
+ };
+
+ PRMessage getCrunchJobFromPrimary(int tag);
+ void collectOutputData(const std::string &directory);
+ void processOutputData(const std::string &directory);
+ std::string readSDDSFile(const std::string &directory);
+ void writeSDDSFile();
+ void writeSDDSHeader(std::ofstream &out,
+ std::vector<std::string> &order);
+ void writeSDDSData(std::ofstream &out,
+ const std::map<std::string, std::vector<double> > &data,
+ const std::vector<std::string> &order);
+ std::vector<std::pair<double, double> > computeStatistics(const std::string &objective,
+ const std::vector<double> &referencePositions);
+ std::vector<double> getNextDataset(std::ifstream &dataStream,
+ std::ifstream &positionStream,
+ int dataType,
+ const std::vector<double> &referencePositions);
+
+ std::vector<double > interpolateSDDSData(const std::vector<double> &data,
+ const std::vector<double> &oldpositions,
+ const std::vector<double> &newpositions);
+ std::vector<double> readFloatData(std::ifstream &in);
+ std::vector<double> readDoubleData(std::ifstream &in);
+ std::vector<double> readShortData(std::ifstream &in);
+ std::vector<double> readLongData(std::ifstream &in);
+
+ SDDS::file parseSDDSFile(std::string & contents);
+ std::list<SDDS::ast::variant_t> getColumnData(const SDDS::file &data,
+ const std::string &columnName);
+ void removeOldDataFiles();
+ void removeBinaryDataFiles();
+ std::map<std::string, std::vector<double> > distributeProcessingJobs();
+ void getProcessingJobFromPrimary();
+
+ std::vector<double> getReferenceSamplingPositions();
+ void sendReferenceSamplingPositions(std::vector<double> positionSampling);
+ void sendObjectiveForProcessing(int tag,
+ int source,
+ unsigned int i,
+ char* messageBuffer);
+ std::pair<int, int> getNextObjectiveToProcess(int tag, char *messageBuffer);
+ void sendProcessedDataToPrimary(int tag,
+ int objectiveID,
+ unsigned int length,
+ char *messageBuffer);
+ void copyDataToBuffer(char *messageBuffer,
+ const std::vector<std::pair<double, double> > &statistics);
+
+ struct DataSource {
+ int source;
+ int ID;
+ std::vector<double> data;
+ };
+
+ DataSource getProcessedDataFromReplica(int tag,
+ unsigned int i,
+ unsigned int length,
+ char* messageBuffer);
+
+ std::string method_m;
+ unsigned int nodesPerInstance_m;
+ unsigned int numInstances_m;
+
+ MPI_Comm subComm_m;
+ MPI_Group subGroup_m;
+ std::vector<int> groupIDs_m;
+ std::vector<int> groupRanks_m;
+ std::vector<int> localMasters_m;
+ std::vector<std::string> objectives_m;
+
+ std::string directoryBaseName_m;
+};
+
+#endif // OPAL_STATISTICALERRORS_H
\ No newline at end of file
diff --git a/src/Algorithms/StatisticalErrorsUtilities.cpp b/src/Algorithms/StatisticalErrorsUtilities.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..4bf11eb4eed0a651bd7715ca90aba27f3a722108
--- /dev/null
+++ b/src/Algorithms/StatisticalErrorsUtilities.cpp
@@ -0,0 +1,75 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+#include "Algorithms/StatisticalErrorsUtilities.h"
+#include "Structure/SDDSParser/ast.hpp"
+
+BinaryWriter::BinaryWriter(std::ofstream &out):
+ out_m(out)
+{ }
+
+void BinaryWriter::operator()(const float &val) const {
+ out_m.write(reinterpret_cast<const char*>(&val), sizeof(float));
+}
+
+void BinaryWriter::operator()(const double &val) const {
+ out_m.write(reinterpret_cast<const char*>(&val), sizeof(double));
+}
+
+void BinaryWriter::operator()(const size_t &val) const {
+ out_m.write(reinterpret_cast<const char*>(&val), sizeof(size_t));
+}
+
+void BinaryWriter::operator()(const int &val) const {
+ out_m.write(reinterpret_cast<const char*>(&val), sizeof(int));
+}
+
+void BinaryWriter::operator()(const short &val) const {
+ out_m.write(reinterpret_cast<const char*>(&val), sizeof(short));
+}
+
+void BinaryWriter::operator()(const long &val) const {
+ out_m.write(reinterpret_cast<const char*>(&val), sizeof(long));
+}
+
+void BinaryWriter::operator()(const char &val) const
+{ }
+
+void BinaryWriter::operator()(const std::string & val) const
+{ }
+
+
+DataTypeWriter::DataTypeWriter(std::ofstream &out):
+ out_m(out)
+{ }
+
+void DataTypeWriter::operator()(const float &) const {
+ int dataType = SDDS::ast::FLOAT;
+ out_m.write(reinterpret_cast<const char*>(&dataType), sizeof(int));
+}
+
+void DataTypeWriter::operator()(const double &) const {
+ int dataType = SDDS::ast::DOUBLE;
+ out_m.write(reinterpret_cast<const char*>(&dataType), sizeof(int));
+}
+
+void DataTypeWriter::operator()(const short &) const {
+ int dataType = SDDS::ast::SHORT;
+ out_m.write(reinterpret_cast<const char*>(&dataType), sizeof(int));
+}
+
+void DataTypeWriter::operator()(const long &) const {
+ int dataType = SDDS::ast::LONG;
+ out_m.write(reinterpret_cast<const char*>(&dataType), sizeof(int));
+}
+
+void DataTypeWriter::operator()(const char &) const {
+ int dataType = SDDS::ast::CHARACTER;
+ out_m.write(reinterpret_cast<const char*>(&dataType), sizeof(int));
+}
+
+void DataTypeWriter::operator()(const std::string &) const {
+ int dataType = SDDS::ast::STRING;
+ out_m.write(reinterpret_cast<const char*>(&dataType), sizeof(int));
+}
diff --git a/src/Algorithms/StatisticalErrorsUtilities.h b/src/Algorithms/StatisticalErrorsUtilities.h
new file mode 100644
index 0000000000000000000000000000000000000000..6eeb1e6a878c0a172a631bf821b8d35a7654d0e2
--- /dev/null
+++ b/src/Algorithms/StatisticalErrorsUtilities.h
@@ -0,0 +1,49 @@
+#ifndef STATISTICALERRORSUTILITIES_H
+#define STATISTICALERRORSUTILITIES_H
+
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#include <boost/variant/static_visitor.hpp>
+
+#include <iostream>
+#include <fstream>
+
+class BinaryWriter: public boost::static_visitor<> {
+public:
+ BinaryWriter(std::ofstream &out);
+
+ void operator()(const float &val) const;
+ void operator()(const double &val) const;
+ void operator()(const size_t &val) const;
+ void operator()(const int &val) const;
+ void operator()(const short &val) const;
+ void operator()(const long &val) const;
+ void operator()(const char &val) const;
+ void operator()(const std::string &val) const;
+
+private:
+ std::ofstream &out_m;
+};
+
+class DataTypeWriter: public boost::static_visitor<> {
+public:
+ DataTypeWriter(std::ofstream &out);
+
+ void operator()(const float &val) const;
+ void operator()(const double &val) const;
+ void operator()(const short &val) const;
+ void operator()(const long &val) const;
+ void operator()(const char &val) const;
+ void operator()(const std::string &val) const;
+
+private:
+ std::ofstream &out_m;
+};
+
+#endif
diff --git a/src/BasicActions/PSystem.cpp b/src/BasicActions/PSystem.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..bcc743f202ab294d41969219cb20a89bbe882a63
--- /dev/null
+++ b/src/BasicActions/PSystem.cpp
@@ -0,0 +1,87 @@
+// ------------------------------------------------------------------------
+// $RCSfile: PSystem.cpp,v $
+// ------------------------------------------------------------------------
+// $Revision: 1.2 $
+// ------------------------------------------------------------------------
+// Copyright: see Copyright.readme
+// ------------------------------------------------------------------------
+//
+// Class: PSystem
+// The class for the OPAL SYSTEM command.
+//
+// ------------------------------------------------------------------------
+//
+// $Date: 2002/01/17 22:18:36 $
+// $Author: jsberg $
+//
+// ------------------------------------------------------------------------
+
+#include "BasicActions/PSystem.h"
+
+#include "Ippl.h"
+#include "Attributes/Attributes.h"
+#include "AbstractObjects/Object.h"
+#include "AbstractObjects/OpalData.h"
+
+#include <cstdlib>
+#include <boost/regex.hpp>
+#include <boost/algorithm/string.hpp>
+// Class PSystem
+// ------------------------------------------------------------------------
+
+PSystem::PSystem():
+ Action(1, "PSYSTEM",
+ "The \"PSYSTEM\" statement sends a command string to the "
+ "operating system from all nodes.") {
+ itsAttr[0] = Attributes::makeString
+ ("CMD", "A system command to be executed");
+}
+
+
+PSystem::PSystem(const std::string &name, PSystem *parent):
+ Action(name, parent)
+{}
+
+
+PSystem::~PSystem()
+{}
+
+
+PSystem *PSystem::clone(const std::string &name) {
+ return new PSystem(name, this);
+}
+
+
+void PSystem::execute() {
+ std::string command = Attributes::getString(itsAttr[0]);
+ boost::regex variablesRe("\\$\\$\\{([^\\}]+?)\\}");
+ boost::smatch match;
+ OpalData *OPAL = OpalData::getInstance();
+ while (boost::regex_search(command, match, variablesRe)) {
+ Object *object = 0;
+
+ std::string variableName = match[1];
+ boost::to_upper(variableName);
+ if ((object = OPAL->find(variableName)) == 0) {
+ ERRORMSG("SYSTEM: Could not replace $${" << match[1] << "}, "
+ << "unknown variable" << endl);
+
+ std::string unknownReplacement = "\\\\$\\\\${" + match[1] + "}";
+ boost::regex unknownRe("\\$\\$\\{" + match[1] + "\\}");
+ command = boost::regex_replace(command, unknownRe, unknownReplacement);
+ continue;
+ }
+ std::ostringstream os;
+ object->printValue(os);
+ boost::regex variableRe("\\$\\$\\{" + match[1] + "\\}");
+ command = boost::regex_replace(command, variableRe, os.str());
+ }
+
+ int res = system(command.c_str());
+ if (res!=0)
+ ERRORMSG("SYSTEM call failed" << endl);
+}
+
+void PSystem::parse(Statement &statement) {
+ parseShortcut(statement);
+}
\ No newline at end of file
diff --git a/src/BasicActions/PSystem.h b/src/BasicActions/PSystem.h
new file mode 100644
index 0000000000000000000000000000000000000000..a01a85053996e12a3af1fcec853952a5eae3ff3d
--- /dev/null
+++ b/src/BasicActions/PSystem.h
@@ -0,0 +1,56 @@
+#ifndef OPAL_PSystem_HH
+#define OPAL_PSystem_HH
+
+// ------------------------------------------------------------------------
+// $RCSfile: PSystem.h,v $
+// ------------------------------------------------------------------------
+// $Revision: 1.1.1.1 $
+// ------------------------------------------------------------------------
+// Copyright: see Copyright.readme
+// ------------------------------------------------------------------------
+//
+// Class: PSystem
+//
+// ------------------------------------------------------------------------
+//
+// $Date: 2000/03/27 09:33:37 $
+// $Author: Andreas Adelmann $
+//
+// ------------------------------------------------------------------------
+
+#include "AbstractObjects/Action.h"
+
+
+// Class PSystem
+// ------------------------------------------------------------------------
+/// The SYSTEM command.
+
+class PSystem: public Action {
+
+public:
+
+ /// Exemplar constructor.
+ PSystem();
+
+ virtual ~PSystem();
+
+ /// Make clone.
+ virtual PSystem *clone(const std::string &name);
+
+ /// Execute the command.
+ virtual void execute();
+
+ /// Parse command (special for one-attribute command).
+ virtual void parse(Statement &);
+
+private:
+
+ // Not implemented.
+ PSystem(const PSystem &);
+ void operator=(const PSystem &);
+
+ // Clone constructor.
+ PSystem(const std::string &name, PSystem *parent);
+};
+
+#endif // OPAL_PSystem_HH
\ No newline at end of file
diff --git a/src/Classic/AbsBeamline/BendBase.cpp b/src/Classic/AbsBeamline/BendBase.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..36a2a4d1535fc133908417665cc3c6f58180d9f2
--- /dev/null
+++ b/src/Classic/AbsBeamline/BendBase.cpp
@@ -0,0 +1,66 @@
+#include "AbsBeamline/BendBase.h"
+
+BendBase::BendBase():
+ Component(),
+ length_m(0.0),
+ chordLength_m(0.0),
+ angle_m(0.0),
+ entranceAngle_m(0.0),
+ gap_m(0.0),
+ designEnergy_m(0.0),
+ designEnergyChangeable_m(true),
+ bX_m(0.0),
+ bY_m(0.0),
+ fieldAmplitude_m(0.0),
+ fileName_m("")
+{
+ setElType(isDipole);
+}
+
+BendBase::BendBase(const BendBase &right):
+ Component(right),
+ length_m(right.length_m),
+ chordLength_m(right.chordLength_m),
+ angle_m(right.angle_m),
+ entranceAngle_m(right.entranceAngle_m),
+ gap_m(right.gap_m),
+ designEnergy_m(right.designEnergy_m),
+ designEnergyChangeable_m(true),
+ refTrajMap_m(right.refTrajMap_m),
+ bX_m(right.bX_m),
+ bY_m(right.bY_m),
+ fieldAmplitude_m(right.fieldAmplitude_m),
+ fileName_m(right.fileName_m)
+{
+ setElType(isDipole);
+}
+
+BendBase::BendBase(const std::string &name):
+ Component(name),
+ length_m(0.0),
+ chordLength_m(0.0),
+ angle_m(0.0),
+ entranceAngle_m(0.0),
+ gap_m(0.0),
+ designEnergy_m(0.0),
+ designEnergyChangeable_m(true),
+ bX_m(0.0),
+ bY_m(0.0),
+ fieldAmplitude_m(0.0),
+ fileName_m("")
+{
+ setElType(isDipole);
+}
+
+
+std::vector<Vector_t> BendBase::getDesignPath() const {
+ unsigned int size = refTrajMap_m.size();
+ std::vector<Vector_t> designPath(size);
+
+ for (unsigned int i = 0; i < size; ++ i) {
+ Vector_t currentPosition = refTrajMap_m[i];
+ designPath[i] = currentPosition;
+ }
+
+ return designPath;
+}
\ No newline at end of file
diff --git a/src/Classic/AbsBeamline/BendBase.h b/src/Classic/AbsBeamline/BendBase.h
new file mode 100644
index 0000000000000000000000000000000000000000..39f01313e03597732e76878ea0d4fc2676daa4a6
--- /dev/null
+++ b/src/Classic/AbsBeamline/BendBase.h
@@ -0,0 +1,147 @@
+#ifndef CLASSIC_BENDBASE_H
+#define CLASSIC_BENDBASE_H
+
+#include "AbsBeamline/Component.h"
+
+#include <vector>
+#include <string>
+
+class BendBase: public Component {
+public:
+ BendBase();
+ BendBase(const BendBase &);
+ BendBase(const std::string &);
+
+ /// Indicates that element bends the beam.
+ virtual bool bends() const;
+
+ void setLength(double length);
+ double getLength() const;
+ double getChordLength() const;
+ virtual void setBendAngle(double angle);
+ double getBendAngle() const;
+ virtual void setEntranceAngle(double entranceAngle);
+ double getEntranceAngle() const;
+
+ void setFullGap(double);
+ double getFullGap() const;
+
+ virtual void setDesignEnergy(double energy, bool changeable = true);
+ double getDesignEnergy() const;
+ std::vector<Vector_t> getDesignPath() const;
+
+ void setFieldAmplitude(double k0, double k0s);
+ double getFieldAmplitude() const;
+
+ void setFieldMapFN(std::string fileName);
+ std::string getFieldMapFN() const;
+
+protected:
+ double length_m;
+ double chordLength_m;
+ double angle_m;
+ double entranceAngle_m; /// Angle between incoming reference trajectory
+
+ double gap_m;
+
+ double designEnergy_m; /// Bend design energy (eV).
+ bool designEnergyChangeable_m;
+ /// Map of reference particle trajectory.
+ std::vector<Vector_t> refTrajMap_m;
+
+ double bX_m;
+ double bY_m;
+ double fieldAmplitude_m;
+
+ std::string fileName_m;
+};
+
+inline
+bool BendBase::bends() const {
+ return true;
+}
+
+inline
+void BendBase::setLength(double length) {
+ length_m = std::abs(length);
+}
+
+inline
+double BendBase::getLength() const
+{
+ return length_m;
+}
+
+inline
+double BendBase::getChordLength() const {
+ return chordLength_m;
+}
+
+inline
+void BendBase::setBendAngle(double angle) {
+ angle_m = angle;
+}
+
+inline
+double BendBase::getBendAngle() const {
+ return angle_m;
+}
+
+inline
+void BendBase::setEntranceAngle(double angle)
+{
+ entranceAngle_m = angle;
+}
+
+inline
+double BendBase::getEntranceAngle() const {
+ return entranceAngle_m;
+}
+
+inline
+void BendBase::setFullGap(double gap) {
+ gap_m = std::abs(gap);
+}
+
+inline
+double BendBase::getFullGap() const {
+ return gap_m;
+}
+
+inline
+void BendBase::setDesignEnergy(double energy, bool changeable) {
+ if (designEnergyChangeable_m) {
+ designEnergy_m = std::abs(energy) * 1e6;
+ designEnergyChangeable_m = changeable;
+ }
+}
+
+inline
+double BendBase::getDesignEnergy() const {
+ return designEnergy_m;
+}
+
+inline
+void BendBase::setFieldAmplitude(double k0, double k0s) {
+ bY_m = k0;
+ bX_m = k0s;
+}
+
+inline
+double BendBase::getFieldAmplitude() const
+{
+ return fieldAmplitude_m;
+}
+
+inline
+void BendBase::setFieldMapFN(std::string fileName) {
+ fileName_m = fileName;
+}
+
+inline
+std::string BendBase::getFieldMapFN() const {
+ return fileName_m;
+}
+
+
+#endif
\ No newline at end of file
diff --git a/src/Classic/AbsBeamline/RBend3D.cpp b/src/Classic/AbsBeamline/RBend3D.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..af02f6fdec369d46b965479808585b0f7dab84f6
--- /dev/null
+++ b/src/Classic/AbsBeamline/RBend3D.cpp
@@ -0,0 +1,363 @@
+// ------------------------------------------------------------------------
+// $RCSfile: RBend3D.cpp,v $
+// ------------------------------------------------------------------------
+// $Revision: 1.1.1.1 $
+// ------------------------------------------------------------------------
+// Copyright: see Copyright.readme
+// ------------------------------------------------------------------------
+//
+// Class: RBend3D
+// Defines the abstract interface for a solenoid magnet.
+//
+// ------------------------------------------------------------------------
+// Class category: AbsBeamline
+// ------------------------------------------------------------------------
+
+#include "AbsBeamline/RBend3D.h"
+#include "Algorithms/PartBunch.h"
+#include "Algorithms/PartPusher.h"
+#include "AbsBeamline/BeamlineVisitor.h"
+#include "Fields/Fieldmap.h"
+#include "AbstractObjects/OpalData.h"
+#include "Utilities/Options.h"
+#include "Structure/MeshGenerator.h"
+#include "Physics/Physics.h"
+
+#include <iostream>
+#include <fstream>
+
+extern Inform *gmsg;
+
+// Class RBend3D
+// ------------------------------------------------------------------------
+
+RBend3D::RBend3D():
+ BendBase(),
+ myFieldmap_m(NULL),
+ fieldAmplitudeError_m(0.0),
+ startField_m(0.0),
+ lengthField_m(0.0),
+ fast_m(false),
+ geometry_m(),
+ dummyField_m() {
+ setElType(isDipole);
+}
+
+
+RBend3D::RBend3D(const RBend3D &right):
+ BendBase(right),
+ myFieldmap_m(right.myFieldmap_m),
+ fieldAmplitudeError_m(right.fieldAmplitudeError_m),
+ startField_m(right.startField_m),
+ lengthField_m(right.lengthField_m),
+ fast_m(right.fast_m),
+ geometry_m(right.geometry_m),
+ dummyField_m() {
+ setElType(isDipole);
+}
+
+
+RBend3D::RBend3D(const std::string &name):
+ BendBase(name),
+ myFieldmap_m(NULL),
+ fieldAmplitudeError_m(0.0),
+ startField_m(0.0),
+ lengthField_m(0.0),
+ fast_m(false),
+ geometry_m(),
+ dummyField_m() {
+ setElType(isDipole);
+}
+
+
+RBend3D::~RBend3D() {
+ // Fieldmap::deleteFieldmap(filename_m);
+}
+
+void RBend3D::accept(BeamlineVisitor &visitor) const {
+ visitor.visitRBend3D(*this);
+}
+
+void RBend3D::setFieldMapFN(std::string fn) {
+ fileName_m = fn;
+}
+
+void RBend3D::setFast(bool fast) {
+ fast_m = fast;
+}
+
+
+bool RBend3D::getFast() const {
+ return fast_m;
+}
+
+void RBend3D::addKR(int i, double t, Vector_t &K) {
+}
+
+void RBend3D::addKT(int i, double t, Vector_t &K) {
+}
+
+bool RBend3D::apply(const size_t &i, const double &t, Vector_t &E, Vector_t &B) {
+ return apply(RefPartBunch_m->R[i], RefPartBunch_m->P[i], t, E, B);
+}
+
+bool RBend3D::apply(const Vector_t &R, const Vector_t &P, const double &t, Vector_t &E, Vector_t &B) {
+ const Vector_t tmpR(R(0), R(1), R(2) - startField_m);
+ Vector_t tmpE(0.0, 0.0, 0.0), tmpB(0.0, 0.0, 0.0);
+
+ myFieldmap_m->getFieldstrength(tmpR, tmpE, tmpB);
+
+ B += (fieldAmplitude_m + fieldAmplitudeError_m) * tmpB;
+
+ return false;
+}
+
+bool RBend3D::applyToReferenceParticle(const Vector_t &R, const Vector_t &P, const double &t, Vector_t &E, Vector_t &B) {
+ const Vector_t tmpR(R(0), R(1), R(2) - startField_m);
+ Vector_t tmpE(0.0), tmpB(0.0);
+
+ myFieldmap_m->getFieldstrength(tmpR, tmpE, tmpB);
+ B += fieldAmplitude_m * tmpB;
+
+ return false;
+}
+
+void RBend3D::initialise(PartBunch *bunch, double &startField, double &endField) {
+ Inform msg("RBend3D ", *gmsg);
+ double zBegin = 0.0, zEnd = 0.0, rBegin = 0.0, rEnd = 0.0;
+
+ RefPartBunch_m = bunch;
+
+ myFieldmap_m = Fieldmap::getFieldmap(fileName_m, fast_m);
+ if(myFieldmap_m != NULL) {
+ msg << level2 << getName() << " using file ";
+ myFieldmap_m->getInfo(&msg);
+ goOnline(0.0);
+
+ myFieldmap_m->getFieldDimensions(zBegin, zEnd, rBegin, rEnd);
+
+ if (length_m == 0.0) {
+ chordLength_m = 0.0;
+ double fieldLength = zEnd - zBegin;
+ double z = 0.0, dz = fieldLength / 1000;
+ Vector_t E(0.0), B(0.0);
+ while (z < fieldLength && B(1) < 0.5) {
+ myFieldmap_m->getFieldstrength(Vector_t(0.0, 0.0, z), E, B);
+ z += dz;
+ }
+ double zEntryEdge = z;
+ z = fieldLength;
+ B(1) = 0.0;
+ while (z > 0.0 && B(1) < 0.5) {
+ myFieldmap_m->getFieldstrength(Vector_t(0.0, 0.0, z), E, B);
+ z -= dz;
+ }
+ chordLength_m = z - zEntryEdge;
+ length_m = chordLength_m;
+ } else {
+ chordLength_m = length_m;
+ }
+
+ startField_m = zBegin;
+ lengthField_m = zEnd - zBegin;
+ endField = startField + lengthField_m;
+
+ if (bX_m * bX_m + bY_m * bY_m > 0.0) {
+ double refCharge = bunch->getQ();
+ rotationZAxis_m += atan2(bX_m, bY_m);
+ if (refCharge < 0.0) {
+ rotationZAxis_m -= Physics::pi;
+ }
+ fieldAmplitude_m = (refCharge *
+ std::abs(sqrt(pow(bY_m, 2.0) + pow(bX_m, 2.0)) / refCharge));
+ angle_m = trackRefParticleThrough(bunch->getdT(), Options::writeBendTrajectories);
+ } else {
+ if (angle_m < 0.0) {
+ // Negative angle is a positive bend rotated 180 degrees.
+ entranceAngle_m = copysign(1, angle_m) * entranceAngle_m;
+ angle_m = std::abs(angle_m);
+ rotationZAxis_m += Physics::pi;
+ }
+
+ const double refCharge = RefPartBunch_m->getQ();
+ const double refMass = RefPartBunch_m->getM();
+ const double refGamma = designEnergy_m / refMass + 1.0;
+ const double refBetaGamma = sqrt(pow(refGamma, 2.0) - 1.0);
+
+ Vector_t B(0.0), E(0.0);
+ double z = 0.0, dz = lengthField_m / 999;
+ double integratedBy = 0.0;
+
+ myFieldmap_m->getFieldstrength(Vector_t(0.0, 0.0, z), E, B);
+ integratedBy += 0.5 * B(1);
+ z = dz;
+ while (z < lengthField_m) {
+ B = 0.0; E = 0.0;
+ myFieldmap_m->getFieldstrength(Vector_t(0.0, 0.0, z), E, B);
+ integratedBy += B(1);
+ z += dz;
+ }
+ integratedBy -= 0.5 * B(1);
+ integratedBy *= lengthField_m / 1000;
+
+ // estimate magnitude of field
+ fieldAmplitude_m = refCharge * refMass * refBetaGamma * angle_m / (Physics::c * integratedBy);
+
+ double angle = trackRefParticleThrough(bunch->getdT());
+ double error = (angle_m - angle) / angle_m;
+
+ for (unsigned int i = 0; i < 10; ++ i) {
+ fieldAmplitude_m *= (0.5 * error + 1.0);
+ angle = trackRefParticleThrough(bunch->getdT());
+ error = (angle_m - angle) / angle_m;
+
+ if (std::abs(error) < 0.001) break;
+ }
+
+ if (Options::writeBendTrajectories)
+ trackRefParticleThrough(bunch->getdT(), true);
+ }
+ } else {
+ endField = startField;
+ }
+}
+
+void RBend3D::finalise()
+{}
+
+bool RBend3D::bends() const {
+ return true;
+}
+
+void RBend3D::goOnline(const double &) {
+ Fieldmap::readMap(fileName_m);
+ online_m = true;
+}
+
+void RBend3D::goOffline() {
+ Fieldmap::freeMap(fileName_m);
+ online_m = false;
+}
+
+void RBend3D::getDimensions(double &zBegin, double &zEnd) const {
+ zBegin = startField_m;
+ zEnd = startField_m + length_m;
+}
+
+
+ElementBase::ElementType RBend3D::getType() const {
+ return RBEND3D;
+}
+
+bool RBend3D::isInside(const Vector_t &r) const {
+ Vector_t tmpR(r(0), r(1), r(2) - startField_m);
+ return myFieldmap_m->isInside(tmpR);
+}
+
+ElementBase* RBend3D::clone() const {
+ return new RBend3D(*this);
+}
+
+BGeometryBase& RBend3D::getGeometry() {
+ return geometry_m;
+}
+
+const BGeometryBase& RBend3D::getGeometry() const {
+ return geometry_m;
+}
+
+EMField &RBend3D::getField() {
+ return dummyField_m;
+}
+
+const EMField &RBend3D::getField() const {
+ return dummyField_m;
+}
+
+MeshData RBend3D::getSurfaceMesh() const {
+ Vector_t XIni, XFinal;
+ myFieldmap_m->getFieldDimensions(XIni(0), XFinal(0),
+ XIni(1), XFinal(1),
+ XIni(2), XFinal(2));
+
+ MeshData mesh;
+ mesh.vertices_m.push_back(Vector_t(XIni(0), XIni(1), XIni(2)));
+ mesh.vertices_m.push_back(Vector_t(XIni(0), XIni(1), XFinal(2)));
+ mesh.vertices_m.push_back(Vector_t(XIni(0), XFinal(1), XIni(2)));
+ mesh.vertices_m.push_back(Vector_t(XIni(0), XFinal(1), XFinal(2)));
+ mesh.vertices_m.push_back(Vector_t(XFinal(0), XIni(1), XIni(2)));
+ mesh.vertices_m.push_back(Vector_t(XFinal(0), XIni(1), XFinal(2)));
+ mesh.vertices_m.push_back(Vector_t(XFinal(0), XFinal(1), XIni(2)));
+ mesh.vertices_m.push_back(Vector_t(XFinal(0), XFinal(1), XFinal(2)));
+
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(0, 1, 2));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(2, 1, 3));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(4, 6, 5));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(5, 6, 7));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(1, 5, 3));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(3, 5, 7));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(4, 2, 6));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(4, 0, 2));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(0, 4, 1));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(1, 4, 5));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(2, 3, 6));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(3, 7, 6));
+
+ return mesh;
+}
+
+double RBend3D::trackRefParticleThrough(double dt, bool print) {
+ const double refMass = RefPartBunch_m->getM();
+ const double refGamma = designEnergy_m / refMass + 1.0;
+ const double refBetaGamma = sqrt(pow(refGamma, 2.0) - 1.0);
+ const double stepSize = refBetaGamma / refGamma * Physics::c * dt;
+ const Vector_t scaleFactor(Physics::c * dt);
+ print = print && (Ippl::myNode() == 0);
+
+ std::ofstream trajectoryOutput;
+ if (print) {
+ trajectoryOutput.open("data/" + OpalData::getInstance()->getInputBasename() + "_" + getName() + "_traj.dat");
+ trajectoryOutput.precision(12);
+ trajectoryOutput << "# " << std::setw(18) << "s"
+ << std::setw(20) << "x"
+ << std::setw(20) << "z"
+ << std::setw(20) << "By"
+ << std::endl;
+ }
+
+ double deltaS = 0.0;
+ BorisPusher pusher(*RefPartBunch_m->getReference());
+
+ Vector_t X(0.0), P(0.0);
+ X(0) = startField_m * tan(entranceAngle_m);
+ X(2) = startField_m;
+ P(0) = refBetaGamma * sin(entranceAngle_m);
+ P(2) = refBetaGamma * cos(entranceAngle_m);
+
+ while ((X(2) - startField_m) < lengthField_m && 0.5 * deltaS < lengthField_m) {
+ Vector_t E(0.0), B(0.0);
+
+ X /= scaleFactor;
+ pusher.push(X, P, dt);
+ X *= scaleFactor;
+
+ applyToReferenceParticle(X, P, 0.0, E, B);
+ if (print) {
+ trajectoryOutput << std::setw(20) << deltaS + 0.5 * stepSize
+ << std::setw(20) << X(0)
+ << std::setw(20) << X(2)
+ << std::setw(20) << B(1)
+ << std::endl;
+ }
+
+ pusher.kick(X, P, E, B, dt);
+
+ X /= scaleFactor;
+ pusher.push(X, P, dt);
+ X *= scaleFactor;
+
+ deltaS += stepSize;
+ }
+
+ return -atan2(P(0), P(2)) + entranceAngle_m;
+}
\ No newline at end of file
diff --git a/src/Classic/AbsBeamline/RBend3D.h b/src/Classic/AbsBeamline/RBend3D.h
new file mode 100644
index 0000000000000000000000000000000000000000..43ee76e6f786c3f4ced98e28ba4e082d22128ae9
--- /dev/null
+++ b/src/Classic/AbsBeamline/RBend3D.h
@@ -0,0 +1,122 @@
+#ifndef CLASSIC_RBend3D_HH
+#define CLASSIC_RBend3D_HH
+
+// ------------------------------------------------------------------------
+// $RCSfile: RBend3D.h,v $
+// ------------------------------------------------------------------------
+// $Revision: 1.1.1.1 $
+// ------------------------------------------------------------------------
+// Copyright: see Copyright.readme
+// ------------------------------------------------------------------------
+//
+// Class: RBend3D
+// Defines the abstract interface for a solenoid magnet.
+//
+// ------------------------------------------------------------------------
+// Class category: AbsBeamline
+// ------------------------------------------------------------------------
+//
+// $Date: 2000/03/27 09:32:32 $
+// $Author: fci $
+//
+// ------------------------------------------------------------------------
+
+#include "AbsBeamline/BendBase.h"
+#include "BeamlineGeometry/StraightGeometry.h"
+#include "Fields/BMultipoleField.h"
+
+class PartBunch;
+class Fieldmap;
+class MeshData;
+
+// Class RBend3D
+// ------------------------------------------------------------------------
+/// Interface for solenoids.
+// Class RBend3D defines the abstract interface for solenoid magnets.
+
+
+class RBend3D: public BendBase {
+
+public:
+
+ /// Constructor with given name.
+ explicit RBend3D(const std::string &name);
+
+ RBend3D();
+ RBend3D(const RBend3D &);
+ virtual ~RBend3D();
+
+ /** Inheritable copy constructor */
+ ElementBase* clone() const;
+
+ /** Return the cell geometry */
+ BGeometryBase& getGeometry();
+
+ /** Return the cell geometry */
+ const BGeometryBase& getGeometry() const;
+
+ /** Return a dummy (0.) field value (what is this for?) */
+ EMField &getField();
+
+ /** Return a dummy (0.) field value (what is this for?) */
+ const EMField &getField() const;
+
+ /// Apply visitor to RBend3D.
+ virtual void accept(BeamlineVisitor &) const;
+
+ virtual void addKR(int i, double t, Vector_t &K);
+
+ virtual void addKT(int i, double t, Vector_t &K);
+
+ virtual bool apply(const size_t &i, const double &t, Vector_t &E, Vector_t &B);
+
+ virtual bool apply(const Vector_t &R, const Vector_t &P, const double &t, Vector_t &E, Vector_t &B);
+
+ virtual bool applyToReferenceParticle(const Vector_t &R, const Vector_t &P, const double &t, Vector_t &E, Vector_t &B);
+
+ virtual void initialise(PartBunch *bunch, double &startField, double &endField);
+
+ virtual void finalise();
+
+ virtual bool bends() const;
+
+ virtual void goOnline(const double &kineticEnergy);
+
+ virtual void goOffline();
+
+ // Assign the field filename.
+ void setFieldMapFN(std::string fn);
+
+ void setFast(bool fast);
+
+ bool getFast() const;
+
+ virtual ElementBase::ElementType getType() const;
+
+ virtual void getDimensions(double &zBegin, double &zEnd) const;
+
+ virtual bool isInside(const Vector_t &r) const;
+
+ MeshData getSurfaceMesh() const;
+
+private:
+ double trackRefParticleThrough(double dt, bool print = false);
+
+ // std::string name; /**< The name of the object*/
+ Fieldmap *myFieldmap_m;
+ double fieldAmplitudeError_m; /**< scale multiplier error*/
+
+ double startField_m; /**< startingpoint of field, m*/
+ double lengthField_m;
+
+ bool fast_m;
+
+ StraightGeometry geometry_m;
+
+ BMultipoleField dummyField_m;
+
+ // Not implemented.
+ void operator=(const RBend3D &);
+};
+
+#endif // CLASSIC_RBend3D_HH
\ No newline at end of file
diff --git a/src/Classic/AbsBeamline/Source.cpp b/src/Classic/AbsBeamline/Source.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..1790d3a7f1ac3ac513626cbb25454efe564e8da5
--- /dev/null
+++ b/src/Classic/AbsBeamline/Source.cpp
@@ -0,0 +1,131 @@
+
+#include "AbsBeamline/Source.h"
+#include "Algorithms/PartBunch.h"
+#include "AbsBeamline/BeamlineVisitor.h"
+#include "Fields/Fieldmap.h"
+#include "Physics/Physics.h"
+#include "Elements/OpalBeamline.h"
+
+#include <iostream>
+#include <fstream>
+
+extern Inform *gmsg;
+
+// Class Source
+// ------------------------------------------------------------------------
+
+const std::string Source::defaultDistribution("DISTRIBUTION");
+
+Source::Source():
+ Component(),
+ ElementEdge_m(0.0),
+ startField_m(0.0),
+ endField_m(0.0)
+{
+ setElType(isSource);
+}
+
+
+Source::Source(const Source &right):
+ Component(right),
+ ElementEdge_m(right.ElementEdge_m),
+ startField_m(right.startField_m),
+ endField_m(right.endField_m)
+{
+ setElType(isSource);
+}
+
+
+Source::Source(const std::string &name):
+ Component(name),
+ ElementEdge_m(0.0),
+ startField_m(0.0),
+ endField_m(0.0)
+{
+ setElType(isSource);
+}
+
+Source::~Source() {
+
+}
+
+
+void Source::accept(BeamlineVisitor &visitor) const {
+ visitor.visitSource(*this);
+}
+
+/**
+ * \brief ENVELOPE COMPONENT for radial focussing of the beam
+ * Calculates the transverse envelope component for the
+ * solenoid element and adds it to the K vector
+*/
+void Source::addKR(int i, double t, Vector_t &K) {
+}
+
+/**
+ * ENVELOPE COMPONENT for transverse kick (only important for x0, y0)
+ * Calculates the transverse kick component for the solenoid element and adds it to
+ * the K vector, only important for off track tracking. Otherwise KT = 0.
+*/
+void Source::addKT(int i, double t, Vector_t &K) {
+}
+
+bool Source::apply(const double &t) {
+ Vector_t externalE = Vector_t(0.0);
+ Vector_t externalB = Vector_t(0.0);
+ beamline_m->getFieldAt(csTrafoGlobal2Local_m.getOrigin(),
+ Vector_t(0.0),
+ RefPartBunch_m->getT() + 0.5 * RefPartBunch_m->getdT(),
+ externalE,
+ externalB);
+ for (Distribution* dist: distrs_m) {
+ dist->emitParticles(*RefPartBunch_m, externalE(2));
+ }
+
+ return false;
+}
+
+void Source::initialise(PartBunch *bunch, double &startField, double &endField) {
+ // Inform msg("Source ", *gmsg);
+ // double zBegin = 0.0, zEnd = 0.0, rBegin = 0.0, rEnd = 0.0;
+
+ RefPartBunch_m = bunch;
+}
+
+void Source::finalise()
+{}
+
+bool Source::bends() const {
+ return false;
+}
+
+
+void Source::goOnline(const double &) {
+ online_m = true;
+}
+
+void Source::goOffline() {
+ online_m = false;
+}
+
+void Source::getDimensions(double &zBegin, double &zEnd) const {
+ zBegin = startField_m;
+ zEnd = endField_m;
+}
+
+
+ElementBase::ElementType Source::getType() const {
+ return SOURCE;
+}
+
+void Source::setDistribution(std::vector<std::string> distNames) {
+ const size_t numberOfDistributions = distNames.size();
+ if (numberOfDistributions == 0) {
+ distrs_m.push_back(Distribution::find(defaultDistribution));
+ } else {
+ for (std::string name: distNames) {
+ distrs_m.push_back(Distribution::find(name));
+ distrs_m.back()->setNumberOfDistributions(numberOfDistributions);
+ }
+ }
+}
\ No newline at end of file
diff --git a/src/Classic/AbsBeamline/Source.h b/src/Classic/AbsBeamline/Source.h
new file mode 100644
index 0000000000000000000000000000000000000000..6af6c3a2647aff1a502213d05fda78760a8f5bca
--- /dev/null
+++ b/src/Classic/AbsBeamline/Source.h
@@ -0,0 +1,66 @@
+#ifndef CLASSIC_SOURCE_HH
+#define CLASSIC_SOURCE_HH
+
+#include "AbsBeamline/Component.h"
+#include "Distribution/Distribution.h"
+class OpalBeamline;
+
+class PartBunch;
+
+class Source: public Component {
+
+public:
+
+ /// Constructor with given name.
+ explicit Source(const std::string &name);
+
+ Source();
+ Source(const Source &);
+ virtual ~Source();
+
+ /// Apply visitor to Source.
+ virtual void accept(BeamlineVisitor &) const;
+
+ virtual void addKR(int i, double t, Vector_t &K);
+
+ virtual void addKT(int i, double t, Vector_t &K);
+
+ virtual bool apply(const double &t);
+
+ virtual void initialise(PartBunch *bunch, double &startField, double &endField);
+
+ virtual void finalise();
+
+ virtual bool bends() const;
+
+ virtual void goOnline(const double &kineticEnergy);
+
+ virtual void goOffline();
+
+ virtual ElementBase::ElementType getType() const;
+
+ virtual void getDimensions(double &zBegin, double &zEnd) const;
+
+ void setDistribution(std::vector<std::string> distNames);
+
+ void setBeamline(OpalBeamline *beamline);
+private:
+
+ double ElementEdge_m;
+ double startField_m; /**< startingpoint of field, m*/
+ double endField_m;
+
+ std::vector<Distribution*> distrs_m;
+
+ OpalBeamline *beamline_m;
+ // Not implemented.
+ void operator=(const Source &);
+
+ static const std::string defaultDistribution;
+};
+
+inline
+void Source::setBeamline(OpalBeamline *beamline) {
+ beamline_m = beamline;
+}
+#endif // CLASSIC_SOURCE_HH
\ No newline at end of file
diff --git a/src/Classic/Algorithms/CoordinateSystemTrafo.cpp b/src/Classic/Algorithms/CoordinateSystemTrafo.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..1f7b803cce8a43d93511d007182e2ab3ad6801ea
--- /dev/null
+++ b/src/Classic/Algorithms/CoordinateSystemTrafo.cpp
@@ -0,0 +1,43 @@
+#include "Algorithms/CoordinateSystemTrafo.h"
+#include "Utility/Inform.h"
+
+extern Inform *gmsg;
+
+CoordinateSystemTrafo::CoordinateSystemTrafo():
+ origin_m(0.0),
+ orientation_m(1.0, 0.0, 0.0, 0.0),
+ rotationMatrix_m(1.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 1.0)
+{ }
+
+CoordinateSystemTrafo::CoordinateSystemTrafo(const CoordinateSystemTrafo &right):
+ origin_m(right.origin_m),
+ orientation_m(right.orientation_m),
+ rotationMatrix_m(right.rotationMatrix_m)
+{ }
+
+CoordinateSystemTrafo::CoordinateSystemTrafo(const Vector_t &origin,
+ const Quaternion &orientation):
+ origin_m(origin),
+ orientation_m(orientation),
+ rotationMatrix_m(orientation_m.getRotationMatrix())
+{ }
+
+void CoordinateSystemTrafo::invert() {
+ origin_m = -orientation_m.rotate(origin_m);
+ orientation_m = orientation_m.conjugate();
+ rotationMatrix_m = transpose(rotationMatrix_m);
+}
+
+CoordinateSystemTrafo CoordinateSystemTrafo::operator*(const CoordinateSystemTrafo &right) const {
+ CoordinateSystemTrafo result(*this);
+
+ result *= right;
+ return result;
+}
+
+void CoordinateSystemTrafo::operator*=(const CoordinateSystemTrafo &right) {
+ origin_m = right.orientation_m.conjugate().rotate(origin_m) + right.origin_m;
+ orientation_m *= right.orientation_m;
+ orientation_m.normalize();
+ rotationMatrix_m = orientation_m.getRotationMatrix();
+}
\ No newline at end of file
diff --git a/src/Classic/Algorithms/CoordinateSystemTrafo.h b/src/Classic/Algorithms/CoordinateSystemTrafo.h
new file mode 100644
index 0000000000000000000000000000000000000000..68f243af2d0218a5af9335d6b99a498c333356cf
--- /dev/null
+++ b/src/Classic/Algorithms/CoordinateSystemTrafo.h
@@ -0,0 +1,96 @@
+#ifndef COORDINATESYSTEMTRAFO
+#define COORDINATESYSTEMTRAFO
+
+#include "Algorithms/Vektor.h"
+#include "Algorithms/Quaternion.h"
+#include "AppTypes/Tenzor.h"
+
+class CoordinateSystemTrafo {
+public:
+ CoordinateSystemTrafo();
+
+ CoordinateSystemTrafo(const CoordinateSystemTrafo &right);
+
+ CoordinateSystemTrafo(const Vector_t &origin,
+ const Quaternion &orientation);
+
+ Vector_t transformTo(const Vector_t &r) const;
+ Vector_t transformFrom(const Vector_t &r) const;
+
+ Vector_t rotateTo(const Vector_t &r) const;
+ Vector_t rotateFrom(const Vector_t &r) const;
+
+ void invert();
+ CoordinateSystemTrafo inverted() const;
+
+ CoordinateSystemTrafo operator*(const CoordinateSystemTrafo &right) const;
+ void operator*=(const CoordinateSystemTrafo &right);
+
+ Vector_t getOrigin() const;
+ Quaternion getRotation() const;
+
+ void print(std::ostream&) const;
+private:
+ Vector_t origin_m;
+ Quaternion orientation_m;
+ Tenzor<double, 3> rotationMatrix_m;
+};
+
+inline
+std::ostream& operator<<(std::ostream& os, const CoordinateSystemTrafo &trafo) {
+ trafo.print(os);
+ return os;
+}
+
+inline
+Inform& operator<<(Inform& os, const CoordinateSystemTrafo &trafo) {
+ trafo.print(os.getStream());
+ return os;
+}
+
+inline
+void CoordinateSystemTrafo::print(std::ostream &os) const {
+ os << "Origin: " << origin_m << "\n"
+ << "z-axis: " << orientation_m.conjugate().rotate(Vector_t(0,0,1)) << "\n"
+ << "x-axis: " << orientation_m.conjugate().rotate(Vector_t(1,0,0));
+}
+
+inline
+Vector_t CoordinateSystemTrafo::getOrigin() const {
+ return origin_m;
+}
+
+inline
+Quaternion CoordinateSystemTrafo::getRotation() const {
+ return orientation_m;
+}
+
+inline
+CoordinateSystemTrafo CoordinateSystemTrafo::inverted() const {
+ CoordinateSystemTrafo result(*this);
+ result.invert();
+
+ return result;
+}
+
+inline
+Vector_t CoordinateSystemTrafo::transformTo(const Vector_t &r) const {
+ return dot(rotationMatrix_m, r - origin_m);
+}
+
+inline
+Vector_t CoordinateSystemTrafo::transformFrom(const Vector_t &r) const {
+ return dot(transpose(rotationMatrix_m), r) + origin_m;
+}
+
+inline
+Vector_t CoordinateSystemTrafo::rotateTo(const Vector_t &r) const {
+ return dot(rotationMatrix_m, r);
+}
+
+inline
+Vector_t CoordinateSystemTrafo::rotateFrom(const Vector_t &r) const {
+ return dot(transpose(rotationMatrix_m), r);
+}
+
+#endif
\ No newline at end of file
diff --git a/src/Classic/Algorithms/Quaternion.cpp b/src/Classic/Algorithms/Quaternion.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..e3b72cacd0a6f483ca921c5762ee1cf49134c135
--- /dev/null
+++ b/src/Classic/Algorithms/Quaternion.cpp
@@ -0,0 +1,139 @@
+#include "Algorithms/Quaternion.h"
+#include "AppTypes/Tenzor.h"
+#include "Physics/Physics.h"
+#include "Utility/RandomNumberGen.h"
+
+extern Inform *gmsg;
+
+Quaternion::Quaternion(const Tenzor<double, 3> &M):
+ Vektor<double, 4>(0.0)
+{
+ (*this)(0) = sqrt(std::max(0.0, 1 + M(0, 0) + M(1, 1) + M(2, 2))) / 2;
+ (*this)(1) = sqrt(std::max(0.0, 1 + M(0, 0) - M(1, 1) - M(2, 2))) / 2;
+ (*this)(2) = sqrt(std::max(0.0, 1 - M(0, 0) + M(1, 1) - M(2, 2))) / 2;
+ (*this)(3) = sqrt(std::max(0.0, 1 - M(0, 0) - M(1, 1) + M(2, 2))) / 2;
+ (*this)(1) = std::abs(M(2, 1) - M(1, 2)) > 0? copysign((*this)(1), M(2, 1) - M(1, 2)): 0.0;
+ (*this)(2) = std::abs(M(0, 2) - M(2, 0)) > 0? copysign((*this)(2), M(0, 2) - M(2, 0)): 0.0;
+ (*this)(3) = std::abs(M(1, 0) - M(0, 1)) > 0? copysign((*this)(3), M(1, 0) - M(0, 1)): 0.0;
+}
+
+Vector_t normalize(const Vector_t & vec)
+{
+ double length = sqrt(dot(vec, vec));
+
+ PAssert(length > 1e-12);
+
+ return vec / length;
+}
+
+Quaternion getQuaternion(Vector_t u, Vector_t ref)
+{
+ const double tol = 1e-12;
+
+ u = normalize(u);
+ ref = normalize(ref);
+
+ Vector_t axis = cross(u, ref);
+ double normAxis = sqrt(dot(axis,axis));
+
+ if (normAxis < tol) {
+ if (std::abs(dot(u, ref) - 1.0) < tol) {
+ return Quaternion(1.0, Vector_t(0.0));
+ }
+ // vectors are parallel or antiparallel
+ do { // find any vector in plane with ref as normal
+ double u = IpplRandom();
+ double v = 2 * Physics::pi * IpplRandom();
+ axis(0) = sqrt(1 - u*u) * cos(v);
+ axis(1) = sqrt(1 - u*u) * sin(v);
+ axis(2) = u;
+ } while(abs(dot(axis, ref)) > 0.9);
+
+ axis -= dot(axis, ref) * ref;
+ axis = normalize(axis);
+
+ return Quaternion(0, axis);
+ }
+
+ axis /= normAxis;
+
+ double cosAngle = sqrt(0.5 * (1 + dot(u, ref)));
+ double sinAngle = sqrt(1 - cosAngle * cosAngle);
+
+ return Quaternion(cosAngle, sinAngle * axis);
+}
+
+Quaternion Quaternion::operator*(const double & d) const
+{
+ Quaternion result(d * this->real(), d * this->imag());
+
+ return result;
+}
+
+Quaternion Quaternion::operator*(const Quaternion & other) const
+{
+ Quaternion result(*this);
+ return result *= other;
+}
+
+Quaternion & Quaternion::operator*=(const Quaternion & other)
+{
+ Vector_t imagThis = this->imag();
+ Vector_t imagOther = other.imag();
+
+ *this = Quaternion((*this)(0) * other(0) - dot(imagThis, imagOther),
+ (*this)(0) * imagOther + other(0) * imagThis + cross(imagThis, imagOther));
+
+ return *this;
+}
+
+Quaternion Quaternion::operator/(const double & d) const
+{
+ Quaternion result(this->real() / d, this->imag() / d);
+
+ return result;
+}
+
+Quaternion & Quaternion::normalize()
+{
+ PAssert(this->Norm() > 1e-12);
+
+ (*this) /= this->length();
+
+ return (*this);
+}
+
+Quaternion Quaternion::inverse() const
+{
+ PAssert(this->Norm() > 1e-12);
+
+ Quaternion returnValue = conjugate();
+
+ return returnValue.normalize();
+}
+
+Vector_t Quaternion::rotate(const Vector_t & vec) const
+{
+ PAssert(this->isUnit());
+
+ Quaternion quat(vec);
+
+ return ((*this) * (quat * (*this).conjugate())).imag();
+}
+
+Tenzor<double, 3> Quaternion::getRotationMatrix() const
+{
+ Quaternion rot(*this);
+ rot.normalize();
+ Tenzor<double, 3> mat(1 - 2 * (rot(2) * rot(2) + rot(3) * rot(3)),
+ 2 * (-rot(0) * rot(3) + rot(1) * rot(2)),
+ 2 * (rot(0) * rot(2) + rot(1) * rot(3)),
+ 2 * (rot(0) * rot(3) + rot(1) * rot(2)),
+ 1 - 2 * (rot(1) * rot(1) + rot(3) * rot(3)),
+ 2 * (-rot(0) * rot(1) + rot(2) * rot(3)),
+ 2 * (-rot(0) * rot(2) + rot(1) * rot(3)),
+ 2 * (rot(0) * rot(1) + rot(2) * rot(3)),
+ 1 - 2 * (rot(1) * rot(1) + rot(2) * rot(2)));
+
+ return mat;
+}
\ No newline at end of file
diff --git a/src/Classic/Algorithms/Quaternion.h b/src/Classic/Algorithms/Quaternion.h
new file mode 100644
index 0000000000000000000000000000000000000000..e6afe6de0885f4087476e3963a979b520aa98810
--- /dev/null
+++ b/src/Classic/Algorithms/Quaternion.h
@@ -0,0 +1,128 @@
+#ifndef OPAL_QUATERNION_H
+#define OPAL_QUATERNION_H
+
+#include <limits>
+
+#include "AppTypes/Vektor.h"
+#include "Algorithms/Vektor.h"
+
+template <class, unsigned>
+class Tenzor;
+
+class Quaternion: public Vektor<double, 4> {
+public:
+ Quaternion();
+ Quaternion(const Quaternion &);
+ Quaternion(const double &, const double &, const double &, const double &);
+ Quaternion(const Vector_t &);
+ Quaternion(const double &, const Vector_t &);
+ Quaternion(const Tenzor<double, 3> &);
+
+ Quaternion operator*(const double &) const;
+ Quaternion operator*(const Quaternion &) const;
+ Quaternion& operator*=(const Quaternion &);
+ Quaternion operator/(const double &) const;
+
+ double Norm() const;
+ double length() const;
+ Quaternion & normalize();
+
+ bool isUnit() const;
+ bool isPure() const;
+ bool isPureUnit() const;
+
+ Quaternion inverse() const;
+ Quaternion conjugate() const;
+
+ double real() const;
+ Vector_t imag() const;
+
+ Vector_t rotate(const Vector_t &) const;
+
+ Tenzor<double, 3> getRotationMatrix() const;
+};
+
+typedef Quaternion Quaternion_t;
+
+Quaternion getQuaternion(Vector_t vec, Vector_t reference);
+
+
+inline
+Quaternion::Quaternion():
+ Vektor<double, 4>(1.0, 0.0, 0.0, 0.0)
+{}
+
+inline
+Quaternion::Quaternion(const Quaternion & quat):
+ Vektor<double, 4>(quat)
+{}
+
+inline
+Quaternion::Quaternion(const double & x0, const double & x1, const double & x2, const double & x3):
+ Vektor<double, 4>(x0, x1, x2, x3)
+{}
+
+inline
+Quaternion::Quaternion(const Vector_t & vec):
+ Quaternion(0.0, vec(0), vec(1), vec(2))
+{}
+
+inline
+Quaternion::Quaternion(const double & realPart, const Vector_t & vec):
+ Quaternion(realPart, vec(0), vec(1), vec(2))
+{}
+
+inline
+double Quaternion::Norm() const
+{
+ return dot(*this, *this);
+}
+
+inline
+double Quaternion::length() const
+{
+ return sqrt(this->Norm());
+}
+
+inline
+bool Quaternion::isUnit() const
+{
+ return (std::abs(this->Norm() - 1.0) < 1e-12);
+}
+
+inline
+bool Quaternion::isPure() const
+{
+ return (std::abs((*this)(0)) < 1e-12);
+}
+
+inline
+bool Quaternion::isPureUnit() const
+{
+ return (this->isPure() && this->isUnit());
+}
+
+inline
+Quaternion Quaternion::conjugate() const
+{
+ Quaternion quat(this->real(), -this->imag());
+
+ return quat;
+}
+
+inline
+double Quaternion::real() const
+{
+ return (*this)(0);
+}
+
+inline
+Vector_t Quaternion::imag() const
+{
+ Vector_t vec((*this)(1), (*this)(2), (*this)(3));
+
+ return vec;
+}
+
+
+#endif
diff --git a/src/Classic/BeamlineCore/SourceRep.cpp b/src/Classic/BeamlineCore/SourceRep.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..f2d74808582143ac028e3ff7c34e95ac82965e6f
--- /dev/null
+++ b/src/Classic/BeamlineCore/SourceRep.cpp
@@ -0,0 +1,91 @@
+#include "BeamlineCore/SourceRep.h"
+#include "AbsBeamline/ElementImage.h"
+#include "Channels/IndirectChannel.h"
+
+
+// Attribute access table.
+// ------------------------------------------------------------------------
+
+namespace {
+ struct Entry {
+ const char *name;
+ double(SourceRep::*get)() const;
+ void (SourceRep::*set)(double);
+ };
+
+ const Entry entries[] = {
+ {
+ "L",
+ &SourceRep::getElementLength,
+ &SourceRep::setElementLength
+ },
+ { 0, 0, 0 }
+ };
+}
+
+
+// Class SourceRep
+// ------------------------------------------------------------------------
+
+SourceRep::SourceRep():
+ Source(),
+ geometry()
+{}
+
+
+SourceRep::SourceRep(const SourceRep &right):
+ Source(right),
+ geometry(right.geometry)
+{}
+
+
+SourceRep::SourceRep(const std::string &name):
+ Source(name), geometry()
+{}
+
+
+SourceRep::~SourceRep()
+{}
+
+
+ElementBase *SourceRep::clone() const {
+ return new SourceRep(*this);
+}
+
+
+Channel *SourceRep::getChannel(const std::string &aKey, bool create) {
+ for(const Entry *entry = entries; entry->name != 0; ++entry) {
+ if(aKey == entry->name) {
+ return new IndirectChannel<SourceRep>(*this, entry->get, entry->set);
+ }
+ }
+
+ return ElementBase::getChannel(aKey, create);
+}
+
+NullField &SourceRep::getField() {
+ return field;
+}
+
+const NullField &SourceRep::getField() const {
+ return field;
+}
+
+StraightGeometry &SourceRep::getGeometry() {
+ return geometry;
+}
+
+const StraightGeometry &SourceRep::getGeometry() const {
+ return geometry;
+}
+
+
+ElementImage *SourceRep::getImage() const {
+ ElementImage *image = ElementBase::getImage();
+
+ for(const Entry *entry = entries; entry->name != 0; ++entry) {
+ image->setAttribute(entry->name, (this->*(entry->get))());
+ }
+
+ return image;
+}
\ No newline at end of file
diff --git a/src/Classic/BeamlineCore/SourceRep.h b/src/Classic/BeamlineCore/SourceRep.h
new file mode 100644
index 0000000000000000000000000000000000000000..f037a8130164a71b33549d41315d78471ab61b06
--- /dev/null
+++ b/src/Classic/BeamlineCore/SourceRep.h
@@ -0,0 +1,86 @@
+#ifndef CLASSIC_SOURCEREP_HH
+#define CLASSIC_SOURCEREP_HH
+
+// ------------------------------------------------------------------------
+// $RCSfile: SourceRep.h,v $
+// ------------------------------------------------------------------------
+// $Revision: 1.1.1.1 $
+// ------------------------------------------------------------------------
+// Copyright: see Copyright.readme
+// ------------------------------------------------------------------------
+//
+// Class: SourceRep
+//
+// ------------------------------------------------------------------------
+// Class category: BeamlineCore
+// ------------------------------------------------------------------------
+//
+// $Date: 2000/03/27 09:32:34 $
+// $Author: fci $
+//
+// ------------------------------------------------------------------------
+
+#include "AbsBeamline/Source.h"
+#include "BeamlineGeometry/StraightGeometry.h"
+#include "Fields/NullField.h"
+
+
+// Class SourceRep
+// ------------------------------------------------------------------------
+/// Tepresentation for a solenoid magnet.
+
+class SourceRep: public Source {
+
+public:
+
+ /// Constructor with given name.
+ explicit SourceRep(const std::string &name);
+
+ SourceRep();
+ SourceRep(const SourceRep &);
+ virtual ~SourceRep();
+
+ /// Return clone.
+ // Return an identical deep copy of the element.
+ virtual ElementBase *clone() const;
+
+ /// Construct a read/write channel.
+ // This method constructs a Channel permitting read/write access to
+ // the attribute [b]aKey[/b] and returns it.
+ // If the attribute does not exist, it returns NULL.
+ virtual Channel *getChannel(const std::string &aKey, bool = false);
+
+ /// Get field.
+ // Version for non-constant object.
+ virtual NullField &getField();
+
+ /// Get field.
+ // Version for constant object.
+ virtual const NullField &getField() const;
+
+ /// Get geometry.
+ // Version for non-constant object.
+ virtual StraightGeometry &getGeometry();
+
+ /// Get geometry.
+ // Version for constant object.
+ virtual const StraightGeometry &getGeometry() const;
+
+ /// Construct an image.
+ // Return the image of the element, containing the name and type string
+ // of the element, and a copy of the user-defined attributes.
+ virtual ElementImage *getImage() const;
+
+private:
+
+ // Not implemented.
+ void operator=(const SourceRep &);
+
+ // The zero magnetic field.
+ NullField field;
+
+ /// The solenoid geometry.
+ StraightGeometry geometry;
+};
+
+#endif // CLASSIC_SOURCEREP_HH
\ No newline at end of file
diff --git a/src/Classic/Fields/FM3DMagnetoStatic.cpp b/src/Classic/Fields/FM3DMagnetoStatic.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..4ac3a76a27548ade1d890703973c48ce8d83b003
--- /dev/null
+++ b/src/Classic/Fields/FM3DMagnetoStatic.cpp
@@ -0,0 +1,226 @@
+#include "Fields/FM3DMagnetoStatic.h"
+#include "Fields/Fieldmap.hpp"
+#include "Utilities/GeneralClassicException.h"
+#include "Physics/Physics.h"
+
+#include <fstream>
+#include <ios>
+
+extern Inform *gmsg;
+
+using namespace std;
+using Physics::mu_0;
+
+FM3DMagnetoStatic::FM3DMagnetoStatic(std::string aFilename):
+ Fieldmap(aFilename),
+ FieldstrengthBz_m(NULL),
+ FieldstrengthBx_m(NULL),
+ FieldstrengthBy_m(NULL) {
+
+ std::string tmpString;
+ double tmpDouble;
+
+ Type = T3DMagnetoStatic;
+ ifstream file(Filename_m.c_str());
+
+ if(file.good()) {
+ bool parsing_passed = interpreteLine<std::string>(file, tmpString);
+ parsing_passed = parsing_passed &&
+ interpreteLine<double, double, unsigned int>(file, xbegin_m, xend_m, num_gridpx_m);
+ parsing_passed = parsing_passed &&
+ interpreteLine<double, double, unsigned int>(file, ybegin_m, yend_m, num_gridpy_m);
+ parsing_passed = parsing_passed &&
+ interpreteLine<double, double, unsigned int>(file, zbegin_m, zend_m, num_gridpz_m);
+
+ for(unsigned long i = 0; (i < (num_gridpz_m + 1) * (num_gridpx_m + 1) * (num_gridpy_m + 1)) && parsing_passed; ++ i) {
+ parsing_passed = parsing_passed &&
+ interpreteLine<double>(file,
+ tmpDouble,
+ tmpDouble,
+ tmpDouble);
+ }
+
+ parsing_passed = parsing_passed &&
+ interpreteEOF(file);
+
+ file.close();
+
+ if(!parsing_passed) {
+ disableFieldmapWarning();
+ zend_m = zbegin_m - 1e-3;
+ throw GeneralClassicException("FM3DMagnetoStatic::FM3DMagnetoStatic",
+ "An error occured when reading the fieldmap '" + Filename_m + "'");
+ } else {
+ xbegin_m /= 100.0;
+ xend_m /= 100.0;
+ ybegin_m /= 100.0;
+ yend_m /= 100.0;
+ zbegin_m /= 100.0;
+ zend_m /= 100.0;
+
+ hx_m = (xend_m - xbegin_m) / num_gridpx_m;
+ hy_m = (yend_m - ybegin_m) / num_gridpy_m;
+ hz_m = (zend_m - zbegin_m) / num_gridpz_m;
+
+ num_gridpx_m ++;
+ num_gridpy_m ++;
+ num_gridpz_m ++;
+
+ }
+ } else {
+ noFieldmapWarning();
+ zbegin_m = 0.0;
+ zend_m = -1e-3;
+ }
+}
+
+
+FM3DMagnetoStatic::~FM3DMagnetoStatic() {
+ freeMap();
+}
+
+void FM3DMagnetoStatic::readMap() {
+ if(FieldstrengthBz_m == NULL) {
+
+ ifstream in(Filename_m.c_str());
+ int tmpInt;
+ std::string tmpString;
+ double tmpDouble, Bymax = 0.0;
+
+ interpreteLine<std::string>(in, tmpString);
+ interpreteLine<double, double, int>(in, tmpDouble, tmpDouble, tmpInt);
+ interpreteLine<double, double, int>(in, tmpDouble, tmpDouble, tmpInt);
+ interpreteLine<double, double, int>(in, tmpDouble, tmpDouble, tmpInt);
+
+ FieldstrengthBz_m = new double[num_gridpz_m * num_gridpx_m * num_gridpy_m];
+ FieldstrengthBx_m = new double[num_gridpz_m * num_gridpx_m * num_gridpy_m];
+ FieldstrengthBy_m = new double[num_gridpz_m * num_gridpx_m * num_gridpy_m];
+
+ long ii = 0;
+ for(unsigned int i = 0; i < num_gridpx_m; ++ i) {
+ for(unsigned int j = 0; j < num_gridpy_m; ++ j) {
+ for(unsigned int k = 0; k < num_gridpz_m; ++ k) {
+ interpreteLine<double>(in,
+ FieldstrengthBx_m[ii],
+ FieldstrengthBy_m[ii],
+ FieldstrengthBz_m[ii]);
+ ++ ii;
+ }
+ }
+ }
+ in.close();
+
+ // find maximum field
+ unsigned int centerX = static_cast<unsigned int>(std::floor(-xbegin_m / hx_m + 0.5));
+ unsigned int centerY = static_cast<unsigned int>(std::floor(-ybegin_m / hy_m + 0.5));
+ for(unsigned int k = 0; k < num_gridpz_m; ++ k) {
+ double By = FieldstrengthBy_m[getIndex(centerX, centerY, k)];
+ if(std::abs(By) > std::abs(Bymax)) {
+ Bymax = By;
+ }
+ }
+
+ // normalize field
+ for(unsigned int i = 0; i < num_gridpx_m; i ++) {
+ for(unsigned int j = 0; j < num_gridpy_m; j ++) {
+ for(unsigned int k = 0; k < num_gridpz_m; k ++) {
+ unsigned long index = getIndex(i,j,k);
+ FieldstrengthBx_m[index] /= Bymax;
+ FieldstrengthBy_m[index] /= Bymax;
+ FieldstrengthBz_m[index] /= Bymax;
+ }
+ }
+ }
+
+ INFOMSG(level3 << typeset_msg("read in fieldmap '" + Filename_m + "'", "info") << "\n"
+ << endl);
+ }
+}
+
+void FM3DMagnetoStatic::freeMap() {
+ if(FieldstrengthBz_m != NULL) {
+ delete[] FieldstrengthBz_m;
+ delete[] FieldstrengthBx_m;
+ delete[] FieldstrengthBy_m;
+
+ FieldstrengthBz_m = NULL;
+ FieldstrengthBx_m = NULL;
+ FieldstrengthBy_m = NULL;
+
+ INFOMSG(level3 << typeset_msg("freed fieldmap '" + Filename_m + "'", "info") << "\n"
+ << endl);
+ }
+}
+
+bool FM3DMagnetoStatic::getFieldstrength(const Vector_t &R, Vector_t &E, Vector_t &B) const {
+ if (isInside(R))
+ B += interpolateTrilinearly(R);
+
+ return false;
+}
+
+Vector_t FM3DMagnetoStatic::interpolateTrilinearly(const Vector_t &X) const {
+ IndexTriplet idx = getIndex(X);
+ Vector_t B(0.0);
+
+ B(0) = (getWeightedData(FieldstrengthBx_m, idx, LX|LY|LZ) +
+ getWeightedData(FieldstrengthBx_m, idx, LX|LY|HZ) +
+ getWeightedData(FieldstrengthBx_m, idx, LX|HY|LZ) +
+ getWeightedData(FieldstrengthBx_m, idx, LX|HY|HZ) +
+ getWeightedData(FieldstrengthBx_m, idx, HX|LY|LZ) +
+ getWeightedData(FieldstrengthBx_m, idx, HX|LY|HZ) +
+ getWeightedData(FieldstrengthBx_m, idx, HX|HY|LZ) +
+ getWeightedData(FieldstrengthBx_m, idx, HX|HY|HZ));
+
+ B(1) = (getWeightedData(FieldstrengthBy_m, idx, LX|LY|LZ) +
+ getWeightedData(FieldstrengthBy_m, idx, LX|LY|HZ) +
+ getWeightedData(FieldstrengthBy_m, idx, LX|HY|LZ) +
+ getWeightedData(FieldstrengthBy_m, idx, LX|HY|HZ) +
+ getWeightedData(FieldstrengthBy_m, idx, HX|LY|LZ) +
+ getWeightedData(FieldstrengthBy_m, idx, HX|LY|HZ) +
+ getWeightedData(FieldstrengthBy_m, idx, HX|HY|LZ) +
+ getWeightedData(FieldstrengthBy_m, idx, HX|HY|HZ));
+
+ B(2) = (getWeightedData(FieldstrengthBz_m, idx, LX|LY|LZ) +
+ getWeightedData(FieldstrengthBz_m, idx, LX|LY|HZ) +
+ getWeightedData(FieldstrengthBz_m, idx, LX|HY|LZ) +
+ getWeightedData(FieldstrengthBz_m, idx, LX|HY|HZ) +
+ getWeightedData(FieldstrengthBz_m, idx, HX|LY|LZ) +
+ getWeightedData(FieldstrengthBz_m, idx, HX|LY|HZ) +
+ getWeightedData(FieldstrengthBz_m, idx, HX|HY|LZ) +
+ getWeightedData(FieldstrengthBz_m, idx, HX|HY|HZ));
+
+ return B;
+}
+
+double FM3DMagnetoStatic::getWeightedData(double *data, const IndexTriplet &idx, unsigned short corner) const {
+ unsigned short switchX = ((corner & HX) >> 2), switchY = ((corner & HY) >> 1), switchZ = (corner & HZ);
+ double factorX = 0.5 + (1 - 2 * switchX) * (0.5 - idx.weight(0));
+ double factorY = 0.5 + (1 - 2 * switchY) * (0.5 - idx.weight(1));
+ double factorZ = 0.5 + (1 - 2 * switchZ) * (0.5 - idx.weight(2));
+
+ unsigned long i = idx.i + switchX, j = idx.j + switchY, k = idx.k + switchZ;
+
+ return factorX * factorY * factorZ * data[getIndex(i, j, k)];
+}
+
+bool FM3DMagnetoStatic::getFieldDerivative(const Vector_t &R, Vector_t &E, Vector_t &B, const DiffDirection &dir) const {
+ return false;
+}
+
+void FM3DMagnetoStatic::getFieldDimensions(double &zBegin, double &zEnd, double &rBegin, double &rEnd) const {
+ zBegin = zbegin_m;
+ zEnd = zend_m;
+ rBegin = xbegin_m;
+ rEnd = xend_m;
+}
+void FM3DMagnetoStatic::getFieldDimensions(double &xIni, double &xFinal, double &yIni, double &yFinal, double &zIni, double &zFinal) const {}
+
+void FM3DMagnetoStatic::swap() {}
+
+void FM3DMagnetoStatic::getInfo(Inform *msg) {
+ (*msg) << Filename_m << " (3D magnetostatic) "
+ << " xini= " << xbegin_m << " xfinal= " << xend_m
+ << " yini= " << ybegin_m << " yfinal= " << yend_m
+ << " zini= " << zbegin_m << " zfinal= " << zend_m << " (m) " << endl;
+}
\ No newline at end of file
diff --git a/src/Classic/Fields/FM3DMagnetoStatic.h b/src/Classic/Fields/FM3DMagnetoStatic.h
new file mode 100644
index 0000000000000000000000000000000000000000..8b8d54e647527fc66dc0206d0648190849c760be
--- /dev/null
+++ b/src/Classic/Fields/FM3DMagnetoStatic.h
@@ -0,0 +1,116 @@
+#ifndef CLASSIC_FIELDMAP3DMAGNETOSTATIC_HH
+#define CLASSIC_FIELDMAP3DMAGNETOSTATIC_HH
+
+#include "Fields/Fieldmap.h"
+
+class FM3DMagnetoStatic: public Fieldmap {
+
+public:
+ virtual bool getFieldstrength(const Vector_t &R, Vector_t &E, Vector_t &B) const;
+ virtual void getFieldDimensions(double &zBegin, double &zEnd, double &rBegin, double &rEnd) const;
+ virtual void getFieldDimensions(double &xIni, double &xFinal, double &yIni, double &yFinal, double &zIni, double &zFinal) const;
+ virtual bool getFieldDerivative(const Vector_t &R, Vector_t &E, Vector_t &B, const DiffDirection &dir) const;
+ virtual void swap();
+ virtual void getInfo(Inform *msg);
+ virtual double getFrequency() const;
+ virtual void setFrequency(double freq);
+
+ virtual bool isInside(const Vector_t &r) const;
+private:
+ FM3DMagnetoStatic(std::string aFilename);
+ ~FM3DMagnetoStatic();
+
+ virtual void readMap();
+ virtual void freeMap();
+
+ struct IndexTriplet {
+ unsigned int i;
+ unsigned int j;
+ unsigned int k;
+ Vector_t weight;
+ IndexTriplet():
+ i(0),
+ j(0),
+ k(0),
+ weight(0.0)
+ { }
+ };
+
+ IndexTriplet getIndex(const Vector_t &X) const;
+ unsigned long getIndex(unsigned int i, unsigned int j, unsigned int k) const;
+ Vector_t interpolateTrilinearly(const Vector_t &X) const;
+ double getWeightedData(double *data, const IndexTriplet &idx, unsigned short corner) const;
+
+ enum { LX = 0, // low X
+ LY = 0, // low Y
+ LZ = 0, // low Z
+ HX = 4, // high X
+ HY = 2, // high Y
+ HZ = 1}; // high Z
+
+ double *FieldstrengthBz_m; /**< 3D array with Bz */
+ double *FieldstrengthBx_m; /**< 3D array with Bx */
+ double *FieldstrengthBy_m; /**< 3D array with By */
+
+ double xbegin_m;
+ double xend_m;
+
+ double ybegin_m;
+ double yend_m;
+
+ double zbegin_m;
+ double zend_m;
+ double length_m;
+
+ double hx_m; /**< length between points in grid, x-direction */
+ double hy_m; /**< length between points in grid, y-direction */
+ double hz_m; /**< length between points in grid, z-direction */
+ unsigned int num_gridpx_m; /**< Read in number of points after 0(not counted here) in grid, r-direction*/
+ unsigned int num_gridpy_m; /**< Read in number of points after 0(not counted here) in grid, r-direction*/
+ unsigned int num_gridpz_m; /**< Read in number of points after 0(not counted here) in grid, z-direction*/
+
+ friend class Fieldmap;
+};
+
+inline
+bool FM3DMagnetoStatic::isInside(const Vector_t &r) const
+{
+ return ((r(0) >= xbegin_m && r(0) < xend_m) &&
+ (r(1) >= ybegin_m && r(1) < yend_m) &&
+ (r(2) >= 0.0 && r(2) < length_m));
+ // (r(2) >= zbegin_m && r(2) < zend_m));
+}
+
+inline
+double FM3DMagnetoStatic::getFrequency() const {
+ return 0.0;
+}
+
+inline
+void FM3DMagnetoStatic::setFrequency(double freq) { }
+
+inline
+unsigned long FM3DMagnetoStatic::getIndex(unsigned int i, unsigned int j, unsigned int k) const
+{
+ unsigned long result = i + j * num_gridpx_m;
+ result = k + result * num_gridpz_m;
+ PAssert(result < num_gridpx_m * num_gridpy_m * num_gridpz_m);
+ return result;
+}
+
+inline
+FM3DMagnetoStatic::IndexTriplet FM3DMagnetoStatic::getIndex(const Vector_t &X) const {
+ IndexTriplet idx;
+ idx.i = std::floor((X(0) - xbegin_m) / hx_m);
+ idx.j = std::floor((X(1) - ybegin_m) / hy_m);
+ idx.k = std::floor(X(2) / hz_m);
+ // idx.k = std::floor((X(2) - zbegin_m) / hz_m);
+
+ idx.weight(0) = (X(0) - xbegin_m) / hx_m - idx.i;
+ idx.weight(1) = (X(1) - ybegin_m) / hy_m - idx.j;
+ idx.weight(2) = (X(2) - zbegin_m) / hz_m - idx.k;
+
+ return idx;
+}
+
+#endif
\ No newline at end of file
diff --git a/src/Classic/Fields/FM3DMagnetoStaticExtended.cpp b/src/Classic/Fields/FM3DMagnetoStaticExtended.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..94fba5c6b1d2860633ff33051eef18b5c63bb282
--- /dev/null
+++ b/src/Classic/Fields/FM3DMagnetoStaticExtended.cpp
@@ -0,0 +1,711 @@
+#include "Fields/FM3DMagnetoStaticExtended.h"
+#include "Fields/Fieldmap.hpp"
+#include "Utilities/GeneralClassicException.h"
+
+#include <fstream>
+#include <ios>
+
+extern Inform *gmsg;
+
+FM3DMagnetoStaticExtended::FM3DMagnetoStaticExtended(std::string aFilename):
+ Fieldmap(aFilename),
+ FieldstrengthBx_m(NULL),
+ FieldstrengthBy_m(NULL),
+ FieldstrengthBz_m(NULL) {
+ std::ifstream file;
+ std::string tmpString;
+ double tmpDouble;
+
+ Type = T2DMagnetoStatic;
+
+ // open field map, parse it and disable element on error
+ file.open(Filename_m.c_str());
+ if(file.good()) {
+ bool parsing_passed = interpreteLine<std::string>(file, tmpString);
+ parsing_passed = (parsing_passed &&
+ interpreteLine<double, double, unsigned int>(file, xbegin_m, xend_m, num_gridpx_m));
+ parsing_passed = (parsing_passed &&
+ interpreteLine<double, double, unsigned int>(file, ybegin_m, yend_m, num_gridpy_m));
+ parsing_passed = (parsing_passed &&
+ interpreteLine<double, double, unsigned int>(file, zbegin_m, zend_m, num_gridpz_m));
+
+ for(unsigned long i = 0; (i < (num_gridpz_m + 1) * (num_gridpx_m + 1)) && parsing_passed; ++ i) {
+ parsing_passed = parsing_passed && interpreteLine<double>(file, tmpDouble);
+ }
+
+ parsing_passed = parsing_passed &&
+ interpreteEOF(file);
+
+ file.close();
+ lines_read_m = 0;
+
+ if(!parsing_passed) {
+ disableFieldmapWarning();
+ zend_m = zbegin_m - 1e-3;
+ throw GeneralClassicException("FM3DMagnetoStaticExtended::FM3DMagnetoStaticExtended(std::string)",
+ "Format of fieldmap '" + Filename_m + "' didn't pass basic test");
+ } else {
+ // conversion from cm to m
+ xbegin_m /= 100.;
+ xend_m /= 100.;
+ yend_m = std::max(std::abs(ybegin_m), yend_m) / 100.;
+ ybegin_m = 0.0;
+ zbegin_m /= 100.;
+ zend_m /= 100.;
+ length_m = zend_m - zbegin_m;
+
+ hx_m = (xend_m - xbegin_m) / num_gridpx_m;
+ hy_m = (yend_m - ybegin_m) / num_gridpy_m;
+ hz_m = (zend_m - zbegin_m) / num_gridpz_m;
+
+ // num spacings -> num grid points
+ num_gridpx_m++;
+ num_gridpy_m++;
+ num_gridpz_m++;
+ }
+ } else {
+ throw GeneralClassicException("FM3DMagnetoStaticExtended::FM3DMagnetoStaticExtended(std::string)",
+ "Couldn't read fieldmap '" + Filename_m + "'");
+ }
+}
+
+FM3DMagnetoStaticExtended::~FM3DMagnetoStaticExtended() {
+ freeMap();
+}
+
+void FM3DMagnetoStaticExtended::readMap() {
+ if(FieldstrengthBz_m == NULL) {
+ // declare variables and allocate memory
+ std::ifstream in;
+ unsigned int tmpInt;
+ std::string tmpString;
+ double tmpDouble, Bymax = 0.0;
+
+ FieldstrengthBx_m = new double[num_gridpx_m * num_gridpy_m * num_gridpz_m];
+ FieldstrengthBy_m = new double[num_gridpx_m * num_gridpy_m * num_gridpz_m];
+ FieldstrengthBz_m = new double[num_gridpx_m * num_gridpy_m * num_gridpz_m];
+
+ // read in and parse field map
+ in.open(Filename_m.c_str());
+ interpreteLine<std::string>(in, tmpString);
+ interpreteLine<double, double, unsigned int>(in, tmpDouble, tmpDouble, tmpInt);
+ interpreteLine<double, double, unsigned int>(in, tmpDouble, tmpDouble, tmpInt);
+ interpreteLine<double, double, unsigned int>(in, tmpDouble, tmpDouble, tmpInt);
+
+ for(unsigned int i = 0; i < num_gridpx_m; i++) {
+ for(unsigned int k = 0; k < num_gridpz_m; k++) {
+ unsigned long index = getIndex(i,0,k);
+ interpreteLine<double>(in, FieldstrengthBy_m[index]);
+ }
+ }
+ in.close();
+
+ // find maximum field
+ unsigned int centerX = static_cast<unsigned int>(std::floor(-xbegin_m / hx_m + 0.5));
+ for(unsigned int k = 0; k < num_gridpz_m; ++ k) {
+ double By = FieldstrengthBy_m[getIndex(centerX, 0, k)];
+ if(std::abs(By) > std::abs(Bymax)) {
+ Bymax = By;
+ }
+ }
+
+ // normalize field
+ for(unsigned int i = 0; i < num_gridpx_m; i ++) {
+ for(unsigned int k = 0; k < num_gridpz_m; k ++) {
+ unsigned long index = getIndex(i,0,k);
+ FieldstrengthBx_m[index] = 0.0;
+ FieldstrengthBy_m[index] /= Bymax;
+ FieldstrengthBz_m[index] = 0.0;
+ }
+ }
+
+ smoothData(FieldstrengthBy_m, 0);
+ for (unsigned int j = 1; j < num_gridpy_m; j ++) {
+ integrateBx(j);
+ integrateBz(j);
+ integrateBy(j);
+
+ smoothData(FieldstrengthBx_m, j);
+ smoothData(FieldstrengthBz_m, j);
+ smoothData(FieldstrengthBy_m, j);
+ }
+
+ // saveField("data/" + Filename_m + ".ext", num_gridpy_m - 1);
+
+ INFOMSG(level3 << typeset_msg("read in fieldmap '" + Filename_m + "'", "info") << endl);
+ }
+}
+
+void FM3DMagnetoStaticExtended::integrateBx(unsigned j) {
+ if (j == 1) {
+ {
+ unsigned int i = 0;
+ // treat cells at i = 0, j = 1, k = 0:num_gridpz_m - 1;
+ for (unsigned int k = 0; k < num_gridpz_m; k ++) {
+ unsigned long index = getIndex(i,j,k);
+ FieldstrengthBx_m[index] = 0.5 * hy_m / hx_m * (-3 * FieldstrengthBy_m[getIndex(i, j - 1, k)] +
+ 4 * FieldstrengthBy_m[getIndex(i + 1, j - 1, k)] -
+ FieldstrengthBy_m[getIndex(i + 2, j - 1, k)]);
+ }
+ }
+ // treat cells at i = 1:num_gridpx_m - 2, j = 1, k = 0:num_gridpz_m - 1;
+ for(unsigned int i = 1; i < num_gridpx_m - 1; i ++) {
+ for (unsigned int k = 0; k < num_gridpz_m; k ++) {
+ unsigned long index = getIndex(i,j,k);
+ FieldstrengthBx_m[index] = 0.5 * hy_m / hx_m * (FieldstrengthBy_m[getIndex(i + 1, j - 1, k)] -
+ FieldstrengthBy_m[getIndex(i - 1, j - 1, k)]);
+ }
+ }
+ {
+ unsigned int i = num_gridpx_m - 1;
+ // treat cells at i = num_gridpx_m - 1, j = 1, k = 0:num_gridpz_m - 1;
+ for (unsigned int k = 0; k < num_gridpz_m; k ++) {
+ unsigned long index = getIndex(i,j,k);
+ FieldstrengthBx_m[index] = 0.5 * hy_m / hx_m * (FieldstrengthBy_m[getIndex(i - 2, j - 1, k)] -
+ 4 * FieldstrengthBy_m[getIndex(i - 1, j - 1, k)] +
+ 3 * FieldstrengthBy_m[getIndex(i, j - 1, k)]);
+ }
+ }
+
+ } else {
+ { // treat cells at i = 0, j > 1, k = 0:num_gridpz_m - 1;
+ unsigned int i = 0;
+ for (unsigned int k = 0; k < num_gridpz_m; k ++) {
+ unsigned long index = getIndex(i,j,k);
+ FieldstrengthBx_m[index] = (4 * FieldstrengthBx_m[getIndex(i, j - 1, k)] -
+ FieldstrengthBx_m[getIndex(i, j - 2, k)] +
+ hy_m / hx_m * (-3 * FieldstrengthBy_m[getIndex(i, j - 1, k)] +
+ 4 * FieldstrengthBy_m[getIndex(i + 1, j - 1, k)] -
+ FieldstrengthBy_m[getIndex(i + 2, j - 1, k)])) / 3;
+ }
+ }
+ // treat cells at i = 1:num_gridpx_m - 2, j > 1, k = 0:num_gridpz_m - 1;
+ for(unsigned int i = 1; i < num_gridpx_m - 1; i ++) {
+ for (unsigned int k = 0; k < num_gridpz_m; k ++) {
+ unsigned long index = getIndex(i,j,k);
+ FieldstrengthBx_m[index] = (4 * FieldstrengthBx_m[getIndex(i, j - 1, k)] -
+ FieldstrengthBx_m[getIndex(i, j - 2, k)] +
+ hy_m / hx_m * (FieldstrengthBy_m[getIndex(i + 1, j - 1, k)] -
+ FieldstrengthBy_m[getIndex(i - 1, j - 1, k)])) / 3;
+ }
+ }
+ { // treat cells at i = num_gridpx_m - 1, j > 1, k = 0:num_gridpz_m - 1;
+ unsigned int i = num_gridpx_m - 1;
+ for (unsigned int k = 1; k < num_gridpz_m - 1; k ++) {
+ unsigned long index = getIndex(i,j,k);
+ FieldstrengthBx_m[index] = (4 * FieldstrengthBx_m[getIndex(i, j - 1, k)] -
+ FieldstrengthBx_m[getIndex(i, j - 2, k)] +
+ hy_m / hx_m * (FieldstrengthBy_m[getIndex(i - 2, j - 1, k)] -
+ 4 * FieldstrengthBy_m[getIndex(i - 1, j - 1, k)] +
+ 3 * FieldstrengthBy_m[getIndex(i, j - 1, k)])) / 3;
+ }
+ }
+ }
+}
+
+void FM3DMagnetoStaticExtended::integrateBz(unsigned j) {
+ if (j == 1) {
+ // treat cells at i = 0:num_gridpx_m - 1, j = 1, k = 1:num_gridpz_m - 2;
+ for(unsigned int i = 0; i < num_gridpx_m; i ++) {
+ for (unsigned int k = 1; k < num_gridpz_m - 1; k ++) {
+ unsigned long index = getIndex(i,j,k);
+ FieldstrengthBz_m[index] = 0.5 * hy_m / hz_m * (FieldstrengthBy_m[getIndex(i, j - 1, k + 1)] -
+ FieldstrengthBy_m[getIndex(i, j - 1, k - 1)]);
+ }
+
+ { // treat cells at i = 0:num_gridpx_m - 1, j = 1, k = 0;
+ unsigned int k = 0;
+ unsigned int index = getIndex(i,j,k);
+ FieldstrengthBz_m[index] = 0.5 * hy_m / hz_m * (-3 * FieldstrengthBy_m[getIndex(i, j - 1, k)] +
+ 4 * FieldstrengthBy_m[getIndex(i, j - 1, k + 1)] -
+ FieldstrengthBy_m[getIndex(i, j - 1, k + 2)]);
+ }
+ { // treat cells at i = 0:num_gridpx_m - 1, j = 1, k = num_gridpz_m - 1;
+ unsigned int k = num_gridpz_m - 1;
+ unsigned int index = getIndex(i,j,k);
+ FieldstrengthBz_m[index] = 0.5 * hy_m / hz_m * (FieldstrengthBy_m[getIndex(i, j - 1, k - 2)] -
+ 4 * FieldstrengthBy_m[getIndex(i, j - 1, k - 1)] +
+ 3 * FieldstrengthBy_m[getIndex(i,j - 1, k)]);
+ }
+ }
+ } else {
+ // treat cells at i = 0:num_gridpx_m - 1, j > 1, k = 1:num_gridpz_m - 2;
+ for(unsigned int i = 0; i < num_gridpx_m; i ++) {
+ for (unsigned int k = 1; k < num_gridpz_m - 1; k ++) {
+ unsigned long index = getIndex(i,j,k);
+ FieldstrengthBz_m[index] = (4 * FieldstrengthBz_m[getIndex(i, j - 1, k)] -
+ FieldstrengthBz_m[getIndex(i, j - 2, k)] +
+ hy_m / hz_m * (FieldstrengthBy_m[getIndex(i, j - 1, k + 1)] -
+ FieldstrengthBy_m[getIndex(i, j - 1, k - 1)])) / 3;
+ }
+
+ { // treat cells at i = 0:num_gridpx_m - 1, j > 1, k = 0;
+ unsigned int k = 0;
+ unsigned int index = getIndex(i,j,k);
+ FieldstrengthBz_m[index] = (4 * FieldstrengthBz_m[getIndex(i, j - 1, k)] -
+ FieldstrengthBz_m[getIndex(i, j - 2, k)] +
+ hy_m / hz_m * (-3 * FieldstrengthBy_m[getIndex(i, j - 1, k)] +
+ 4 * FieldstrengthBy_m[getIndex(i, j - 1, k + 1)] -
+ FieldstrengthBy_m[getIndex(i, j - 1, k + 2)])) / 3;
+ }
+ { // treat cells at i = 0:num_gridpx_m - 1, j > 1, k = num_gridpz_m - 1;
+ unsigned int k = num_gridpz_m - 1;
+ unsigned int index = getIndex(i,j,k);
+ FieldstrengthBz_m[index] = (4 * FieldstrengthBz_m[getIndex(i, j - 1, k)] -
+ FieldstrengthBz_m[getIndex(i, j - 2, k)] +
+ hy_m / hz_m * (FieldstrengthBy_m[getIndex(i, j - 1, k - 2)] -
+ 4 * FieldstrengthBy_m[getIndex(i, j - 1, k - 1)] +
+ 3 * FieldstrengthBy_m[getIndex(i,j - 1, k)])) / 3;
+ }
+ }
+ }
+}
+
+void FM3DMagnetoStaticExtended::integrateBy(unsigned j) {
+ if (j == 1) {
+ for (unsigned int i = 1; i < num_gridpx_m - 1; i ++) {
+ { // treat cells at i = 1:num_gridpx_m - 2, j = 1, k = 0
+ unsigned int k = 0;
+ unsigned long index = getIndex(i, j, k);
+ FieldstrengthBy_m[index] = (FieldstrengthBy_m[getIndex(i, j - 1, k)] +
+ hy_m * ((FieldstrengthBx_m[getIndex(i + 1, j, k)] -
+ FieldstrengthBx_m[getIndex(i - 1, j, k)]) / hx_m -
+ (-3 * FieldstrengthBz_m[getIndex(i, j, k)] +
+ 4 * FieldstrengthBz_m[getIndex(i, j, k + 1)] -
+ FieldstrengthBz_m[getIndex(i, j, k + 2)]) / hz_m));
+ }
+ // treat cells at i = 1:num_gridpx_m - 2, j = 1, k = 1:num_gridpz_m - 2
+ for (unsigned int k = 1; k < num_gridpz_m - 1; k ++) {
+ unsigned long index = getIndex(i,j,k);
+ FieldstrengthBy_m[index] = (FieldstrengthBy_m[getIndex(i, j - 1, k)] +
+ hy_m * ((FieldstrengthBx_m[getIndex(i + 1, j, k)] -
+ FieldstrengthBx_m[getIndex(i - 1, j, k)]) / hx_m -
+ (FieldstrengthBz_m[getIndex(i, j, k + 1)] -
+ FieldstrengthBz_m[getIndex(i, j, k - 1)]) / hz_m));
+ }
+ { // treat cells at i = 1:num_gridpx_m - 2, j = 1, k = num_gridpz_m - 1
+ unsigned int k = num_gridpz_m - 1;
+ unsigned long index = getIndex(i, j, k);
+ FieldstrengthBy_m[index] = (FieldstrengthBy_m[getIndex(i, j - 1, k)] +
+ hy_m * ((FieldstrengthBx_m[getIndex(i + 1, j, k)] -
+ FieldstrengthBx_m[getIndex(i - 1, j, k)]) / hx_m -
+ (FieldstrengthBz_m[getIndex(i, j, k - 2)] -
+ 4 * FieldstrengthBz_m[getIndex(i, j, k - 1)] +
+ 3 * FieldstrengthBz_m[getIndex(i, j, k)]) / hz_m));
+ }
+ }
+ {
+ unsigned int i = 0;
+ { // treat cells at i = 0, j = 1, k = 0
+ unsigned int k = 0;
+ unsigned long index = getIndex(i, j, k);
+ FieldstrengthBy_m[index] = (FieldstrengthBy_m[getIndex(i, j - 1, k)] +
+ hy_m * ((-3 * FieldstrengthBx_m[getIndex(i, j, k)] +
+ 4 * FieldstrengthBx_m[getIndex(i + 1, j, k)] -
+ FieldstrengthBx_m[getIndex(i + 2, j, k)]) / hx_m -
+ (-3 * FieldstrengthBz_m[getIndex(i, j, k)] +
+ 4 * FieldstrengthBz_m[getIndex(i, j, k + 1)] -
+ FieldstrengthBz_m[getIndex(i, j, k + 2)]) / hz_m));
+ }
+ // treat cells at i = 0, j = 1, k = 1:num_gridpz_m - 2
+ for (unsigned int k = 1; k < num_gridpz_m - 1; k ++) {
+ unsigned long index = getIndex(i,j,k);
+ FieldstrengthBy_m[index] = (FieldstrengthBy_m[getIndex(i, j - 1, k)] +
+ hy_m * ((-3 * FieldstrengthBx_m[getIndex(i, j, k)] +
+ 4 * FieldstrengthBx_m[getIndex(i + 1, j, k)] -
+ FieldstrengthBx_m[getIndex(i + 2, j, k)]) / hx_m -
+ (FieldstrengthBz_m[getIndex(i, j, k + 1)] -
+ FieldstrengthBz_m[getIndex(i, j, k - 1)]) / hz_m));
+ }
+ { // treat cells at i = 0, j = 1, k = num_gridpz_m - 1
+ unsigned int k = num_gridpz_m - 1;
+ unsigned long index = getIndex(i, j, k);
+ FieldstrengthBy_m[index] = (FieldstrengthBy_m[getIndex(i, j - 1, k)] +
+ hy_m * ((-3 * FieldstrengthBx_m[getIndex(i, j, k)] +
+ 4 * FieldstrengthBx_m[getIndex(i + 1, j, k)] -
+ FieldstrengthBx_m[getIndex(i + 2, j, k)]) / hx_m -
+ (FieldstrengthBz_m[getIndex(i, j, k - 2)] -
+ 4 * FieldstrengthBz_m[getIndex(i, j, k - 1)] +
+ 3 * FieldstrengthBz_m[getIndex(i, j, k)]) / hz_m));
+ }
+ }
+ {
+ unsigned int i = num_gridpx_m - 1;
+ { // treat cells at i = 0, j = 1, k = 0
+ unsigned int k = 0;
+ unsigned long index = getIndex(i, j, k);
+ FieldstrengthBy_m[index] = (FieldstrengthBy_m[getIndex(i, j - 1, k)] +
+ hy_m * ((FieldstrengthBx_m[getIndex(i - 2, j, k)] -
+ 4 * FieldstrengthBx_m[getIndex(i - 1, j, k)] +
+ 3 * FieldstrengthBx_m[getIndex(i, j, k)]) / hx_m -
+ (-3 * FieldstrengthBz_m[getIndex(i, j, k)] +
+ 4 * FieldstrengthBz_m[getIndex(i, j, k + 1)] -
+ FieldstrengthBz_m[getIndex(i, j, k + 2)]) / hz_m));
+ }
+ // treat cells at i = 0, j = 1, k = 1:num_gridpz_m - 2
+ for (unsigned int k = 1; k < num_gridpz_m - 1; k ++) {
+ unsigned long index = getIndex(i,j,k);
+ FieldstrengthBy_m[index] = (FieldstrengthBy_m[getIndex(i, j - 1, k)] +
+ hy_m * ((FieldstrengthBx_m[getIndex(i - 2, j, k)] -
+ 4 * FieldstrengthBx_m[getIndex(i - 1, j, k)] +
+ 3 * FieldstrengthBx_m[getIndex(i, j, k)]) / hx_m -
+ (FieldstrengthBz_m[getIndex(i, j, k + 1)] -
+ FieldstrengthBz_m[getIndex(i, j, k - 1)]) / hz_m));
+ }
+ { // treat cells at i = 0, j = 1, k = num_gridpz_m - 1
+ unsigned int k = num_gridpz_m - 1;
+ unsigned long index = getIndex(i, j, k);
+ FieldstrengthBy_m[index] = (FieldstrengthBy_m[getIndex(i, j - 1, k)] +
+ hy_m * ((FieldstrengthBx_m[getIndex(i - 2, j, k)] -
+ 4 * FieldstrengthBx_m[getIndex(i - 1, j, k)] +
+ 3 * FieldstrengthBx_m[getIndex(i, j, k)]) / hx_m -
+ (FieldstrengthBz_m[getIndex(i, j, k - 2)] -
+ 4 * FieldstrengthBz_m[getIndex(i, j, k - 1)] +
+ 3 * FieldstrengthBz_m[getIndex(i, j, k)]) / hz_m));
+ }
+ }
+ } else {
+ for (unsigned int i = 1; i < num_gridpx_m - 1; i ++) {
+ { // treat cells at i = 1:num_gridpx_m - 2, j > 1, k = 0
+ unsigned int k = 0;
+ unsigned long index = getIndex(i, j, k);
+ FieldstrengthBy_m[index] = (4 * FieldstrengthBy_m[getIndex(i, j - 1, k)] -
+ FieldstrengthBy_m[getIndex(i, j - 2, k)] +
+ hy_m * ((FieldstrengthBx_m[getIndex(i + 1, j, k)] -
+ FieldstrengthBx_m[getIndex(i - 1, j, k)]) / hx_m -
+ (-3 * FieldstrengthBz_m[getIndex(i, j, k)] +
+ 4 * FieldstrengthBz_m[getIndex(i, j, k + 1)] -
+ FieldstrengthBz_m[getIndex(i, j, k + 2)]) / hz_m)) / 3;
+ }
+ // treat cells at i = 1:num_gridpx_m - 2, j > 1, k = 1:num_gridpz_m - 2
+ for (unsigned int k = 1; k < num_gridpz_m - 1; k ++) {
+ unsigned long index = getIndex(i,j,k);
+ FieldstrengthBy_m[index] = (4 * FieldstrengthBy_m[getIndex(i, j - 1, k)] -
+ FieldstrengthBy_m[getIndex(i, j - 2, k)] +
+ hy_m * ((FieldstrengthBx_m[getIndex(i + 1, j, k)] -
+ FieldstrengthBx_m[getIndex(i - 1, j, k)]) / hx_m -
+ (FieldstrengthBz_m[getIndex(i, j, k + 1)] -
+ FieldstrengthBz_m[getIndex(i, j, k - 1)]) / hz_m)) / 3;
+ }
+ { // treat cells at i = 1:num_gridpx_m - 2, j > 1, k = num_gridpz_m - 1
+ unsigned int k = num_gridpz_m - 1;
+ unsigned long index = getIndex(i, j, k);
+ FieldstrengthBy_m[index] = (4 * FieldstrengthBy_m[getIndex(i, j - 1, k)] -
+ FieldstrengthBy_m[getIndex(i, j - 2, k)] +
+ hy_m * ((FieldstrengthBx_m[getIndex(i + 1, j, k)] -
+ FieldstrengthBx_m[getIndex(i - 1, j, k)]) / hx_m -
+ (FieldstrengthBz_m[getIndex(i, j, k - 2)] -
+ 4 * FieldstrengthBz_m[getIndex(i, j, k - 1)] +
+ 3 * FieldstrengthBz_m[getIndex(i, j, k)]) / hz_m)) / 3;
+ }
+ }
+ {
+ unsigned int i = 0;
+ { // treat cells at i = 0, j > 1, k = 0
+ unsigned int k = 0;
+ unsigned long index = getIndex(i, j, k);
+ FieldstrengthBy_m[index] = (4 * FieldstrengthBy_m[getIndex(i, j - 1, k)] -
+ FieldstrengthBy_m[getIndex(i, j - 2, k)] +
+ hy_m * ((-3 * FieldstrengthBx_m[getIndex(i, j, k)] +
+ 4 * FieldstrengthBx_m[getIndex(i + 1, j, k)] -
+ FieldstrengthBx_m[getIndex(i + 2, j, k)]) / hx_m -
+ (-3 * FieldstrengthBz_m[getIndex(i, j, k)] +
+ 4 * FieldstrengthBz_m[getIndex(i, j, k + 1)] -
+ FieldstrengthBz_m[getIndex(i, j, k + 2)]) / hz_m)) / 3;
+ }
+ // treat cells at i = 0, j > 1, k = 1:num_gridpz_m - 2
+ for (unsigned int k = 1; k < num_gridpz_m - 1; k ++) {
+ unsigned long index = getIndex(i,j,k);
+ FieldstrengthBy_m[index] = (4 * FieldstrengthBy_m[getIndex(i, j - 1, k)] -
+ FieldstrengthBy_m[getIndex(i, j - 2, k)] +
+ hy_m * ((-3 * FieldstrengthBx_m[getIndex(i, j, k)] +
+ 4 * FieldstrengthBx_m[getIndex(i + 1, j, k)] -
+ FieldstrengthBx_m[getIndex(i + 2, j, k)]) / hx_m -
+ (FieldstrengthBz_m[getIndex(i, j, k + 1)] -
+ FieldstrengthBz_m[getIndex(i, j, k - 1)]) / hz_m)) / 3;
+ }
+ { // treat cells at i = 0, j > 1, k = num_gridpz_m - 1
+ unsigned int k = num_gridpz_m - 1;
+ unsigned long index = getIndex(i, j, k);
+ FieldstrengthBy_m[index] = (4 * FieldstrengthBy_m[getIndex(i, j - 1, k)] -
+ FieldstrengthBy_m[getIndex(i, j - 2, k)] +
+ hy_m * ((-3 * FieldstrengthBx_m[getIndex(i, j, k)] +
+ 4 * FieldstrengthBx_m[getIndex(i + 1, j, k)] -
+ FieldstrengthBx_m[getIndex(i + 2, j, k)]) / hx_m -
+ (FieldstrengthBz_m[getIndex(i, j, k - 2)] -
+ 4 * FieldstrengthBz_m[getIndex(i, j, k - 1)] +
+ 3 * FieldstrengthBz_m[getIndex(i, j, k)]) / hz_m)) / 3;
+ }
+ }
+ {
+ unsigned int i = num_gridpx_m - 1;
+ { // treat cells at i = 0, j > 1, k = 0
+ unsigned int k = 0;
+ unsigned long index = getIndex(i, j, k);
+ FieldstrengthBy_m[index] = (4 * FieldstrengthBy_m[getIndex(i, j - 1, k)] -
+ FieldstrengthBy_m[getIndex(i, j - 2, k)] +
+ hy_m * ((FieldstrengthBx_m[getIndex(i - 2, j, k)] -
+ 4 * FieldstrengthBx_m[getIndex(i - 1, j, k)] +
+ 3 * FieldstrengthBx_m[getIndex(i, j, k)]) / hx_m -
+ (-3 * FieldstrengthBz_m[getIndex(i, j, k)] +
+ 4 * FieldstrengthBz_m[getIndex(i, j, k + 1)] -
+ FieldstrengthBz_m[getIndex(i, j, k + 2)]) / hz_m)) / 3;
+ }
+ // treat cells at i = 0, j > 1, k = 1:num_gridpz_m - 2
+ for (unsigned int k = 1; k < num_gridpz_m - 1; k ++) {
+ unsigned long index = getIndex(i,j,k);
+ FieldstrengthBy_m[index] = (4 * FieldstrengthBy_m[getIndex(i, j - 1, k)] -
+ FieldstrengthBy_m[getIndex(i, j - 2, k)] +
+ hy_m * ((FieldstrengthBx_m[getIndex(i - 2, j, k)] -
+ 4 * FieldstrengthBx_m[getIndex(i - 1, j, k)] +
+ 3 * FieldstrengthBx_m[getIndex(i, j, k)]) / hx_m -
+ (FieldstrengthBz_m[getIndex(i, j, k + 1)] -
+ FieldstrengthBz_m[getIndex(i, j, k - 1)]) / hz_m)) / 3;
+ }
+ { // treat cells at i = 0, j > 1, k = num_gridpz_m - 1
+ unsigned int k = num_gridpz_m - 1;
+ unsigned long index = getIndex(i, j, k);
+ FieldstrengthBy_m[index] = (4 * FieldstrengthBy_m[getIndex(i, j - 1, k)] -
+ FieldstrengthBy_m[getIndex(i, j - 2, k)] +
+ hy_m * ((FieldstrengthBx_m[getIndex(i - 2, j, k)] -
+ 4 * FieldstrengthBx_m[getIndex(i - 1, j, k)] +
+ 3 * FieldstrengthBx_m[getIndex(i, j, k)]) / hx_m -
+ (FieldstrengthBz_m[getIndex(i, j, k - 2)] -
+ 4 * FieldstrengthBz_m[getIndex(i, j, k - 1)] +
+ 3 * FieldstrengthBz_m[getIndex(i, j, k)]) / hz_m)) / 3;
+ }
+ }
+ }
+}
+
+void FM3DMagnetoStaticExtended::smoothData(double * data, unsigned j)
+{
+ const double offWeight = 0.1, sumWeightInv = 1.0 / (1.0 + 4 * (1 + offWeight) * offWeight);
+ double *tmp = new double[num_gridpx_m * num_gridpy_m * num_gridpz_m];
+
+ for (unsigned int i = 1; i < num_gridpx_m - 1; ++ i) {
+ for (unsigned int k = 1; k < num_gridpz_m - 1; ++ k) {
+ double sum = 0.0;
+ for (int i2 = -1; i2 < 2; ++ i2) {
+ for (int k2 = -1; k2 < 2; ++ k2) {
+ double weight = std::pow(offWeight, std::abs(i2) + std::abs(k2));
+ sum += weight * data[getIndex(i + i2, j, k + k2)];
+ }
+ }
+
+ tmp[getIndex(i, j, k)] = sum * sumWeightInv;
+ }
+ }
+ {
+ const double sumWeightInv = 1.0 / (1.0 + (3 + 2 * offWeight) * offWeight);
+ unsigned int i = 0;
+ for (unsigned int k = 1; k < num_gridpz_m - 1; ++ k) {
+ double sum = 0.0;
+ for (int i2 = 0; i2 < 2; ++ i2) {
+ for (int k2 = -1; k2 < 2; ++ k2) {
+ double weight = std::pow(offWeight, std::abs(i2) + std::abs(k2));
+ sum += weight * data[getIndex(i + i2, j, k + k2)];
+ }
+ }
+
+ tmp[getIndex(i, j, k)] = sum * sumWeightInv;
+ }
+ }
+ {
+ const double sumWeightInv = 1.0 / (1.0 + (3 + 2 * offWeight) * offWeight);
+ unsigned int i = num_gridpx_m - 1;
+ for (unsigned int k = 1; k < num_gridpz_m - 1; ++ k) {
+ double sum = 0.0;
+ for (int i2 = -1; i2 < 1; ++ i2) {
+ for (int k2 = -1; k2 < 2; ++ k2) {
+ double weight = std::pow(offWeight, std::abs(i2) + std::abs(k2));
+ sum += weight * data[getIndex(i + i2, j, k + k2)];
+ }
+ }
+
+ tmp[getIndex(i, j, k)] = sum * sumWeightInv;
+ }
+ }
+ {
+ const double sumWeightInv = 1.0 / (1.0 + (3 + 2 * offWeight) * offWeight);
+ unsigned int k = 0;
+ for (unsigned int i = 1; i < num_gridpx_m - 1; ++ i) {
+ double sum = 0.0;
+ for (int i2 = -1; i2 < 2; ++ i2) {
+ for (int k2 = 0; k2 < 2; ++ k2) {
+ double weight = std::pow(offWeight, std::abs(i2) + std::abs(k2));
+ sum += weight * data[getIndex(i + i2, j, k + k2)];
+ }
+ }
+
+ tmp[getIndex(i, j, k)] = sum * sumWeightInv;
+ }
+ }
+ {
+ const double sumWeightInv = 1.0 / (1.0 + (3 + 2 * offWeight) * offWeight);
+ unsigned int k = num_gridpz_m - 1;
+ for (unsigned int i = 1; i < num_gridpx_m - 1; ++ i) {
+ double sum = 0.0;
+ for (int i2 = -1; i2 < 2; ++ i2) {
+ for (int k2 = -1; k2 < 1; ++ k2) {
+ double weight = std::pow(offWeight, std::abs(i2) + std::abs(k2));
+ sum += weight * data[getIndex(i + i2, j, k + k2)];
+ }
+ }
+
+ tmp[getIndex(i, j, k)] = sum * sumWeightInv;
+ }
+ }
+ {
+ unsigned long index = getIndex(0, j, 0);
+ tmp[index] = data[index];
+ }
+ {
+ unsigned long index = getIndex(num_gridpx_m - 1, j, 0);
+ tmp[index] = data[index];
+ }
+ {
+ unsigned long index = getIndex(num_gridpx_m - 1, j, num_gridpz_m - 1);
+ tmp[index] = data[index];
+ }
+ {
+ unsigned long index = getIndex(0, j, num_gridpz_m - 1);
+ tmp[index] = data[index];
+ }
+
+ for (unsigned int i = 0; i < num_gridpx_m; ++ i) {
+ for (unsigned int k = 0; k < num_gridpz_m; ++ k) {
+ unsigned long index = getIndex(i, j, k);
+ data[index] = tmp[index];
+ }
+ }
+
+ delete[] tmp;
+}
+
+void FM3DMagnetoStaticExtended::saveField(const std::string &fname, unsigned int j) const
+{
+ std::ofstream out(fname);
+ out.precision(6);
+ double x = xbegin_m, y = j * hy_m;
+ for (unsigned int i = 0; i < num_gridpx_m; ++ i, x += hx_m) {
+ double z = zbegin_m;
+ for (unsigned int k = 0; k < num_gridpz_m; ++ k, z += hz_m) {
+ unsigned long index = getIndex(i, j, k);
+ out << std::setw(14) << x
+ << std::setw(14) << y
+ << std::setw(14) << z
+ << std::setw(14) << FieldstrengthBx_m[index]
+ << std::setw(14) << FieldstrengthBy_m[index]
+ << std::setw(14) << FieldstrengthBz_m[index]
+ << "\n";
+ }
+ }
+
+ out.close();
+}
+
+void FM3DMagnetoStaticExtended::freeMap() {
+ if(FieldstrengthBz_m != NULL) {
+ delete[] FieldstrengthBx_m;
+ delete[] FieldstrengthBy_m;
+ delete[] FieldstrengthBz_m;
+
+ FieldstrengthBx_m = NULL;
+ FieldstrengthBy_m = NULL;
+ FieldstrengthBz_m = NULL;
+
+ INFOMSG(level3 << typeset_msg("freed fieldmap '" + Filename_m + "'", "info") << endl);
+ }
+}
+
+Vector_t FM3DMagnetoStaticExtended::interpolateTrilinearly(const Vector_t &X) const {
+ IndexTriplet idx = getIndex(X);
+ Vector_t B(0.0);
+
+ B(0) = (getWeightedData(FieldstrengthBx_m, idx, LX|LY|LZ) +
+ getWeightedData(FieldstrengthBx_m, idx, LX|LY|HZ) +
+ getWeightedData(FieldstrengthBx_m, idx, LX|HY|LZ) +
+ getWeightedData(FieldstrengthBx_m, idx, LX|HY|HZ) +
+ getWeightedData(FieldstrengthBx_m, idx, HX|LY|LZ) +
+ getWeightedData(FieldstrengthBx_m, idx, HX|LY|HZ) +
+ getWeightedData(FieldstrengthBx_m, idx, HX|HY|LZ) +
+ getWeightedData(FieldstrengthBx_m, idx, HX|HY|HZ));
+
+ B(1) = (getWeightedData(FieldstrengthBy_m, idx, LX|LY|LZ) +
+ getWeightedData(FieldstrengthBy_m, idx, LX|LY|HZ) +
+ getWeightedData(FieldstrengthBy_m, idx, LX|HY|LZ) +
+ getWeightedData(FieldstrengthBy_m, idx, LX|HY|HZ) +
+ getWeightedData(FieldstrengthBy_m, idx, HX|LY|LZ) +
+ getWeightedData(FieldstrengthBy_m, idx, HX|LY|HZ) +
+ getWeightedData(FieldstrengthBy_m, idx, HX|HY|LZ) +
+ getWeightedData(FieldstrengthBy_m, idx, HX|HY|HZ));
+
+ B(2) = (getWeightedData(FieldstrengthBz_m, idx, LX|LY|LZ) +
+ getWeightedData(FieldstrengthBz_m, idx, LX|LY|HZ) +
+ getWeightedData(FieldstrengthBz_m, idx, LX|HY|LZ) +
+ getWeightedData(FieldstrengthBz_m, idx, LX|HY|HZ) +
+ getWeightedData(FieldstrengthBz_m, idx, HX|LY|LZ) +
+ getWeightedData(FieldstrengthBz_m, idx, HX|LY|HZ) +
+ getWeightedData(FieldstrengthBz_m, idx, HX|HY|LZ) +
+ getWeightedData(FieldstrengthBz_m, idx, HX|HY|HZ));
+
+ return B;
+}
+
+double FM3DMagnetoStaticExtended::getWeightedData(double *data, const IndexTriplet &idx, unsigned short corner) const {
+ unsigned short switchX = ((corner & HX) >> 2), switchY = ((corner & HY) >> 1), switchZ = (corner & HZ);
+ double factorX = 0.5 + (1 - 2 * switchX) * (0.5 - idx.weight(0));
+ double factorY = 0.5 + (1 - 2 * switchY) * (0.5 - idx.weight(1));
+ double factorZ = 0.5 + (1 - 2 * switchZ) * (0.5 - idx.weight(2));
+
+ unsigned long i = idx.i + switchX, j = idx.j + switchY, k = idx.k + switchZ;
+
+ return factorX * factorY * factorZ * data[getIndex(i, j, k)];
+}
+
+bool FM3DMagnetoStaticExtended::getFieldstrength(const Vector_t &R, Vector_t &E, Vector_t &B) const {
+ if (isInside(R)) {
+ Vector_t suppB = interpolateTrilinearly(R);
+ suppB(0) *= copysign(1, R(1));
+ suppB(2) *= copysign(1, R(1));
+
+ B += suppB;
+ }
+
+ return false;
+}
+
+bool FM3DMagnetoStaticExtended::getFieldDerivative(const Vector_t &R, Vector_t &E, Vector_t &B, const DiffDirection &dir) const {
+ return false;
+}
+
+void FM3DMagnetoStaticExtended::getFieldDimensions(double &zBegin, double &zEnd, double &xbegin, double &xend) const {
+ zBegin = zbegin_m;
+ zEnd = zend_m;
+ xbegin = xbegin_m;
+ xend = xend_m;
+}
+
+void FM3DMagnetoStaticExtended::getFieldDimensions(double &xIni, double &xFinal, double &yIni, double &yFinal, double &zIni, double &zFinal) const {
+ xIni = xbegin_m;
+ xFinal = xend_m;
+ yIni = -yend_m;
+ yFinal = yend_m;
+ zIni = zbegin_m;
+ zFinal = zend_m;
+}
+
+void FM3DMagnetoStaticExtended::swap() {
+}
+
+void FM3DMagnetoStaticExtended::getInfo(Inform *msg) {
+ (*msg) << Filename_m << " (3D magnetostatic, extended); zini= " << zbegin_m << " m; zfinal= " << zend_m << " m;" << endl;
+}
+
+double FM3DMagnetoStaticExtended::getFrequency() const {
+ return 0.0;
+}
+
+void FM3DMagnetoStaticExtended::setFrequency(double freq)
+{ ;}
\ No newline at end of file
diff --git a/src/Classic/Fields/FM3DMagnetoStaticExtended.h b/src/Classic/Fields/FM3DMagnetoStaticExtended.h
new file mode 100644
index 0000000000000000000000000000000000000000..4a2b3eaefacb8a6bd6d6a61e2f12802d089395e7
--- /dev/null
+++ b/src/Classic/Fields/FM3DMagnetoStaticExtended.h
@@ -0,0 +1,111 @@
+#ifndef CLASSIC_FM2DMAGNETOSTATICEXTENDED_HH
+#define CLASSIC_FM2DMAGNETOSTATICEXTENDED_HH
+
+#include "Fields/Fieldmap.h"
+
+class FM3DMagnetoStaticExtended: public Fieldmap {
+
+public:
+ virtual bool getFieldstrength(const Vector_t &R, Vector_t &E, Vector_t &B) const;
+ virtual bool getFieldDerivative(const Vector_t &R, Vector_t &E, Vector_t &B, const DiffDirection &dir) const;
+ virtual void getFieldDimensions(double &zBegin, double &zEnd, double &rBegin, double &rEnd) const;
+ virtual void getFieldDimensions(double &xIni, double &xFinal, double &yIni, double &yFinal, double &zIni, double &zFinal) const;
+ virtual void swap();
+ virtual void getInfo(Inform *msg);
+ virtual double getFrequency() const;
+ virtual void setFrequency(double freq);
+
+ virtual bool isInside(const Vector_t &r) const;
+private:
+ FM3DMagnetoStaticExtended(std::string aFilename);
+ ~FM3DMagnetoStaticExtended();
+
+ virtual void readMap();
+ virtual void freeMap();
+
+ struct IndexTriplet {
+ unsigned int i;
+ unsigned int j;
+ unsigned int k;
+ Vector_t weight;
+ IndexTriplet():
+ i(0),
+ j(0),
+ k(0),
+ weight(0.0)
+ { }
+ };
+
+ IndexTriplet getIndex(const Vector_t &X) const;
+ unsigned long getIndex(unsigned int i, unsigned int j, unsigned int k) const;
+ Vector_t interpolateTrilinearly(const Vector_t &X) const;
+ double getWeightedData(double *data, const IndexTriplet &idx, unsigned short corner) const;
+
+ enum { LX = 0,
+ LY = 0,
+ LZ = 0,
+ HX = 4,
+ HY = 2,
+ HZ = 1};
+
+ void integrateBx(unsigned j);
+ void integrateBz(unsigned j);
+ void integrateBy(unsigned j);
+
+ void smoothData(double * data, unsigned j);
+
+ void saveField(const std::string &fname, unsigned int j) const;
+
+ double *FieldstrengthBx_m; /**< 3D array with Bx, read in first along z0 - r0 to rN then z1 - r0 to rN until zN - r0 to rN */
+ double *FieldstrengthBy_m; /**< 3D array with By, read in like Bx*/
+ double *FieldstrengthBz_m; /**< 3D array with Bz, read in like Bx*/
+
+ double xbegin_m;
+ double xend_m;
+ double ybegin_m;
+ double yend_m;
+ double zbegin_m;
+ double zend_m;
+ double length_m;
+ double hx_m; /**< length between points in grid, x-direction, m*/
+ double hy_m; /**< length between points in grid, y-direction, m*/
+ double hz_m; /**< length between points in grid, z-direction, m*/
+ unsigned int num_gridpx_m; /**< Read in number of points after 0(not counted here) in grid, x-direction*/
+ unsigned int num_gridpy_m; /**< Read in number of points after 0(not counted here) in grid, y-direction*/
+ unsigned int num_gridpz_m; /**< Read in number of points after 0(not counted here) in grid, z-direction*/
+
+ friend class Fieldmap;
+};
+
+inline
+bool FM3DMagnetoStaticExtended::isInside(const Vector_t &r) const
+{
+ return r(2) >= 0.0 && r(2) < length_m && r(0) >= xbegin_m && r(0) < xend_m && std::abs(r(1)) < yend_m;
+ // return r(2) >= zbegin_m && r(2) < zend_m && r(0) >= xbegin_m && r(0) < xend_m && std::abs(r(1)) < yend_m;
+}
+
+inline
+unsigned long FM3DMagnetoStaticExtended::getIndex(unsigned int i, unsigned int j, unsigned int k) const
+{
+ unsigned long result = i + j * num_gridpx_m;
+ result = k + result * num_gridpz_m;
+ PAssert(result < num_gridpx_m * num_gridpy_m * num_gridpz_m);
+ return result;
+}
+
+inline
+FM3DMagnetoStaticExtended::IndexTriplet FM3DMagnetoStaticExtended::getIndex(const Vector_t &X) const {
+ IndexTriplet idx;
+ idx.i = std::floor((X(0) - xbegin_m) / hx_m);
+ idx.j = std::floor(std::abs(X(1)) / hy_m);
+ idx.k = std::floor((X(2)) / hz_m);
+ // idx.k = std::floor((X(2) - zbegin_m) / hz_m);
+
+ idx.weight(0) = (X(0) - xbegin_m) / hx_m - idx.i;
+ idx.weight(1) = std::abs(X(1)) / hy_m - idx.j;
+ idx.weight(2) = X(2) / hz_m - idx.k;
+
+ return idx;
+}
+
+#endif
\ No newline at end of file
diff --git a/src/Classic/Structure/MeshGenerator.cpp b/src/Classic/Structure/MeshGenerator.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..2749e2dd5b1127a5e668adf4aa075a539b93736e
--- /dev/null
+++ b/src/Classic/Structure/MeshGenerator.cpp
@@ -0,0 +1,839 @@
+#include "Structure/MeshGenerator.h"
+#include "Physics/Physics.h"
+#include "Utilities/Util.h"
+#include "AbsBeamline/Bend.h"
+#include "AbsBeamline/RBend3D.h"
+#include "AbsBeamline/Multipole.h"
+
+#include <iostream>
+#include <fstream>
+
+extern Inform *gmsg;
+
+MeshGenerator::MeshGenerator():
+ elements_m()
+{ }
+
+void MeshGenerator::add(const ElementBase &element) {
+ auto apert = element.getAperture();
+
+ MeshData mesh;
+ if (element.getType() == ElementBase::SBEND ||
+ element.getType() == ElementBase::RBEND) {
+
+ const Bend* dipole = static_cast<const Bend*>(&element);
+ mesh = dipole->getSurfaceMesh();
+ mesh.type_m = DIPOLE;
+ } else if (element.getType() == ElementBase::RBEND3D) {
+ const RBend3D* dipole = static_cast<const RBend3D*>(&element);
+ mesh = dipole->getSurfaceMesh();
+ mesh.type_m = DIPOLE;
+ } else if (element.getType() == ElementBase::DRIFT) {
+ return;
+ } else {
+ double length = element.getElementLength();
+ switch (apert.first) {
+ case ElementBase::RECTANGULAR:
+ case ElementBase::CONIC_RECTANGULAR:
+ mesh = getBox(length, apert.second[0], apert.second[1], apert.second[2]);
+ break;
+ case ElementBase::ELLIPTICAL:
+ case ElementBase::CONIC_ELLIPTICAL:
+ mesh = getCylinder(length, apert.second[0], apert.second[1], apert.second[2]);
+ break;
+ default:
+ return;
+ }
+
+ switch(element.getType()) {
+ case ElementBase::MULTIPOLE:
+ switch(static_cast<const Multipole*>(&element)->getMaxNormalComponentIndex()) {
+ case 1:
+ mesh.type_m = DIPOLE;
+ break;
+ case 2:
+ mesh.type_m = QUADRUPOLE;
+ break;
+ case 3:
+ mesh.type_m = SEXTUPOLE;
+ break;
+ case 4:
+ mesh.type_m = OCTUPOLE;
+ break;
+ default:
+ break;
+ }
+ break;
+ case ElementBase::RFCAVITY:
+ case ElementBase::VARIABLERFCAVITY:
+ case ElementBase::TRAVELINGWAVE:
+ mesh.type_m = RFCAVITY;
+ break;
+ case ElementBase::SOLENOID:
+ mesh.type_m = SOLENOID;
+ break;
+ default:
+ mesh.type_m = OTHER;
+ }
+ }
+
+ CoordinateSystemTrafo trafo = element.getCSTrafoGlobal2Local().inverted();
+ for (unsigned int i = 0; i < mesh.vertices_m.size(); ++ i) {
+ mesh.vertices_m[i] = trafo.transformTo(mesh.vertices_m[i]);
+ }
+
+ for (unsigned int i = 0; i < mesh.decorations_m.size(); ++ i) {
+ mesh.decorations_m[i].first = trafo.transformTo(mesh.decorations_m[i].first);
+ mesh.decorations_m[i].second = trafo.transformTo(mesh.decorations_m[i].second);
+ }
+
+ elements_m.push_back(mesh);
+}
+
+#include <boost/iostreams/filtering_streambuf.hpp>
+#include <boost/iostreams/copy.hpp>
+#include <boost/iostreams/filter/zlib.hpp>
+
+void MeshGenerator::write(const std::string &fname) {
+ std::ofstream out(fname + "_ElementPositions.py");
+ const char *buffer;
+ const std::string indent(" ");
+
+ out << std::fixed << std::setprecision(6);
+
+ out << "import os, sys, argparse, math, base64, zlib, struct\n\n";
+
+ std::stringstream vertices_ascii;
+ std::ostringstream vertices_compressed;
+ out << "vertices = []\n";
+ out << "numVertices = [";
+ for (auto &element: elements_m) {
+ auto &vertices = element.vertices_m;
+ out << vertices.size() << ", ";
+ for (unsigned int i = 0; i < vertices.size(); ++ i) {
+ buffer = reinterpret_cast<const char*>(&(vertices[i](0)));
+ vertices_ascii.write(buffer, 3 * sizeof(double));
+ }
+ }
+ out.seekp(-2, std::ios_base::end);
+ out << "]\n";
+
+ boost::iostreams::filtering_streambuf<boost::iostreams::input> in;
+ in.push(boost::iostreams::zlib_compressor());
+ in.push(vertices_ascii);
+ boost::iostreams::copy(in, vertices_compressed);
+
+ std::string vertices_base64 = Util::base64_encode(vertices_compressed.str());
+ out << "vertices_base64 = \"" << vertices_base64 << "\"\n";
+ out << "triangles = [";
+ for (auto &element: elements_m) {
+ out << "[ ";
+ auto &triangles = element.triangles_m;
+ for (unsigned int i = 0; i < triangles.size(); ++ i) {
+ out << triangles[i](0) << ", " << triangles[i](1) << ", " << triangles[i](2) << ", ";
+ }
+ out.seekp(-2, std::ios_base::end);
+ out << "], ";
+ }
+ out.seekp(-2, std::ios_base::end);
+ out << "]\n";
+
+
+ out << "decoration = [";
+ for (auto &element: elements_m) {
+ out << "[ ";
+ for (auto &decoration: element.decorations_m) {
+ out << (decoration.first)(0) << ", " << (decoration.first)(1) << ", " << (decoration.first)(2) << ", "
+ << (decoration.second)(0) << ", " << (decoration.second)(1) << ", " << (decoration.second)(2) << ", ";
+ }
+ if (element.decorations_m.size() > 0)
+ out.seekp(-2, std::ios_base::end);
+ out << "], ";
+ }
+ if (elements_m.size() > 0)
+ out.seekp(-2, std::ios_base::end);
+ out << "]\n\n";
+
+ out << "color = [";
+ for (auto &element: elements_m) {
+ out << element.type_m << ", ";
+ }
+ out.seekp(-2, std::ios_base::end);
+ out << "]\n\n";
+
+ out << "index_base64 = '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'\n\n";
+
+ out << "def decodeVertices():\n";
+ out << indent << "vertices_binary = zlib.decompress(base64.b64decode(vertices_base64))\n";
+ out << indent << "k = 0\n";
+ out << indent << "for i in xrange(len(numVertices)):\n";
+ out << indent << indent << "current = []\n";
+ out << indent << indent << "for j in xrange(numVertices[i] * 3):\n";
+ out << indent << indent << indent << "current.append(float(struct.unpack('=d', vertices_binary[k:k+8])[0]))\n";
+ out << indent << indent << indent << "k += 8\n";
+ out << indent << indent << "vertices.append(current)\n\n";
+
+ out << "def dot(a, b):\n";
+ out << indent << "return sum(a[i]*b[i] for i in range(len(a)))\n\n";
+
+ out << "def normalize(a):\n";
+ out << indent << "length = math.sqrt(dot(a, a))\n";
+ out << indent << "for i in xrange(3):\n";
+ out << indent << indent << "a[i]/=length\n";
+ out << indent << "return a\n\n";
+
+ out << "def distance(a, b):\n";
+ out << indent << "c = [0] * 2\n";
+ out << indent << "for i in range(len(a)):\n";
+ out << indent << indent << "c[i] = a[i] - b[i]\n";
+ out << indent << "return math.sqrt(dot(c, c))\n\n";
+
+ out << "def cross(a, b):\n";
+ out << indent << "c = [0, 0, 0]\n";
+ out << indent << "c[0] = a[1]*b[2] - a[2]*b[1]\n";
+ out << indent << "c[1] = a[2]*b[0] - a[0]*b[2]\n";
+ out << indent << "c[2] = a[0]*b[1] - a[1]*b[0]\n";
+ out << indent << "return c\n\n";
+
+ out << "class Quaternion:\n";
+ out << indent << "def __init__(self, values):\n";
+ out << indent << indent << "self.R = values\n\n";
+
+ out << indent << "def __str__(self):\n";
+ out << indent << indent << "return str(self.R)\n\n";
+
+ out << indent << "def __mul__(self, other):\n";
+ out << indent << indent << "imagThis = self.imag()\n";
+ out << indent << indent << "imagOther = other.imag()\n";
+ out << indent << indent << "cro = cross(imagThis, imagOther)\n\n";
+
+ out << indent << indent << "ret = ([self.R[0] * other.R[0] - dot(imagThis, imagOther)] +\n";
+ out << indent << indent << indent << " [self.R[0] * imagOther[0] + other.R[0] * imagThis[0] + cro[0],\n";
+ out << indent << indent << indent << indent << "self.R[0] * imagOther[1] + other.R[0] * imagThis[1] + cro[1],\n";
+ out << indent << indent << indent << indent << "self.R[0] * imagOther[2] + other.R[0] * imagThis[2] + cro[2]])\n\n";
+
+ out << indent << indent << "return Quaternion(ret)\n\n";
+
+ out << indent << "def imag(self):\n";
+ out << indent << indent << "return self.R[1:]\n\n";
+
+ out << indent << "def conjugate(self):\n";
+ out << indent << indent << "ret = [0] * 4\n";
+ out << indent << indent << "ret[0] = self.R[0]\n";
+ out << indent << indent << "ret[1] = -self.R[1]\n";
+ out << indent << indent << "ret[2] = -self.R[2]\n";
+ out << indent << indent << "ret[3] = -self.R[3]\n\n";
+
+ out << indent << indent << "return Quaternion(ret)\n\n";
+
+ out << indent << "def inverse(self):\n";
+ out << indent << indent << "return self.conjugate()\n\n";
+
+ out << indent << "def rotate(self, vec3D):\n";
+ out << indent << indent << "quat = Quaternion([0.0] + vec3D)\n";
+ out << indent << indent << "conj = self.conjugate()\n\n";
+
+ out << indent << indent << "ret = self * (quat * conj)\n";
+ out << indent << indent << "return ret.R[1:]\n\n";
+
+ out << "def getQuaternion(u, ref):\n";
+ out << indent << "u = normalize(u)\n";
+ out << indent << "ref = normalize(ref)\n";
+ out << indent << "axis = cross(u, ref)\n";
+ out << indent << "normAxis = math.sqrt(dot(axis, axis))\n\n";
+
+ out << indent << "if normAxis < 1e-12:\n";
+ out << indent << indent << "if math.abs(dot(u, ref) - 1.0) < 1e-12:\n";
+ out << indent << indent << indent << "return Quaternion([1.0, 0.0, 0.0, 0.0])\n\n";
+
+ out << indent << indent << "return Quaternion([0.0, 1.0, 0.0, 0.0])\n\n";
+
+ out << indent << "axis = normalize(axis)\n";
+ out << indent << "cosAngle = math.sqrt(0.5 * (1 + dot(u, ref)))\n";
+ out << indent << "sinAngle = math.sqrt(1 - cosAngle * cosAngle)\n\n";
+
+ out << indent << "return Quaternion([cosAngle, sinAngle * axis[0], sinAngle * axis[1], sinAngle * axis[2]])\n\n";
+
+ out << "def exportVTK():\n";
+ out << indent << "vertices_str = \"\"\n";
+ out << indent << "triangles_str = \"\"\n";
+ out << indent << "color_str = \"\"\n";
+ out << indent << "cellTypes_str = \"\"\n";
+ out << indent << "startIdx = 0\n";
+ out << indent << "vertexCounter = 0\n";
+ out << indent << "cellCounter = 0\n";
+ out << indent << "lookup_table = []\n";
+ out << indent << "lookup_table.append([0.5, 0.5, 0.5, 0.5])\n";
+ out << indent << "lookup_table.append([1.0, 0.847, 0.0, 1.0])\n";
+ out << indent << "lookup_table.append([1.0, 0.0, 0.0, 1.0])\n";
+ out << indent << "lookup_table.append([0.537, 0.745, 0.525, 1.0])\n";
+ out << indent << "lookup_table.append([0.5, 0.5, 0.0, 1.0])\n";
+ out << indent << "lookup_table.append([1.0, 0.541, 0.0, 1.0])\n";
+ out << indent << "lookup_table.append([0.0, 0.0, 1.0, 1.0])\n\n";
+
+ out << indent << "decodeVertices()\n\n";
+
+ out << indent << "for i in xrange(len(vertices)):\n";
+ out << indent << indent << "for j in xrange(0, len(vertices[i]), 3):\n";
+ out << indent << indent << indent << "vertices_str += (\"%f %f %f\\n\" %(vertices[i][j], vertices[i][j+1], vertices[i][j+2]))\n";
+ out << indent << indent << indent << "vertexCounter += 1\n\n";
+
+ out << indent << indent << "for j in xrange(0, len(triangles[i]), 3):\n";
+ out << indent << indent << indent << "triangles_str += (\"3 %d %d %d\\n\" % (triangles[i][j] + startIdx, triangles[i][j+1] + startIdx, triangles[i][j+2] + startIdx))\n";
+ out << indent << indent << indent << "cellTypes_str += \"5\\n\"\n";
+ out << indent << indent << indent << "tmp_color = lookup_table[color[i]]\n";
+ out << indent << indent << indent << "color_str += (\"%f %f %f %f\\n\" % (tmp_color[0], tmp_color[1], tmp_color[2], tmp_color[3]))\n";
+ out << indent << indent << indent << "cellCounter += 1\n";
+
+ out << indent << indent << "startIdx = vertexCounter\n\n";
+
+ out << indent << "fh = open('" << fname << "_ElementPositions.vtk','w')\n";
+ out << indent << "fh.write(\"# vtk DataFile Version 2.0\\n\")\n";
+ out << indent << "fh.write(\"test\\nASCII\\n\\n\")\n";
+ out << indent << "fh.write(\"DATASET UNSTRUCTURED_GRID\\n\")\n";
+ out << indent << "fh.write(\"POINTS \" + str(vertexCounter) + \" float\\n\")\n";
+ out << indent << "fh.write(vertices_str)\n";
+ out << indent << "fh.write(\"CELLS \" + str(cellCounter) + \" \" + str(cellCounter * 4) + \"\\n\")\n";
+ out << indent << "fh.write(triangles_str)\n";
+ out << indent << "fh.write(\"CELL_TYPES \" + str(cellCounter) + \"\\n\")\n";
+ out << indent << "fh.write(cellTypes_str)\n";
+ out << indent << "fh.write(\"CELL_DATA \" + str(cellCounter) + \"\\n\")\n";
+ out << indent << "fh.write(\"COLOR_SCALARS type 4\\n\")\n";
+ out << indent << "fh.write(color_str + \"\\n\")\n";
+ out << indent << "fh.close()\n\n";
+
+ out << "def getNormal(tri_vertices):\n";
+ out << indent << "vec1 = [tri_vertices[1][0] - tri_vertices[0][0],\n";
+ out << indent << " tri_vertices[1][1] - tri_vertices[0][1],\n";
+ out << indent << " tri_vertices[1][2] - tri_vertices[0][2]]\n";
+ out << indent << "vec2 = [tri_vertices[2][0] - tri_vertices[0][0],\n";
+ out << indent << " tri_vertices[2][1] - tri_vertices[0][1],\n";
+ out << indent << " tri_vertices[2][2] - tri_vertices[0][2]]\n";
+ out << indent << "return normalize(cross(vec1,vec2))\n\n";
+
+ out << "def exportWeb():\n";
+ out << indent << "if not os.path.exists('scenes'):\n";
+ out << indent << indent << "os.makedirs('scenes')\n";
+ out << indent << "fh = open('scenes/" << fname << "_ElementPositions.babylon','w')\n";
+ out << indent << "indent = \" \";\n\n";
+
+ out << indent << "lookup_table = []\n";
+ out << indent << "lookup_table.append([0.5, 0.5, 0.5])\n";
+ out << indent << "lookup_table.append([1.0, 0.847, 0.0])\n";
+ out << indent << "lookup_table.append([1.0, 0.0, 0.0])\n";
+ out << indent << "lookup_table.append([0.537, 0.745, 0.525])\n";
+ out << indent << "lookup_table.append([0.5, 0.5, 0.0])\n";
+ out << indent << "lookup_table.append([1.0, 0.541, 0.0])\n";
+ out << indent << "lookup_table.append([0.0, 0.0, 1.0])\n\n";
+
+ out << indent << "decodeVertices()\n\n";
+
+ out << indent << "fh.write(\"{\\n\")\n";
+ out << indent << "fh.write(\"\\\"autoClear\\\":true,\\n\")\n";
+ out << indent << "fh.write(\"\\\"clearColor\\\":[0.0000,0.0000,0.0000],\\n\")\n";
+ out << indent << "fh.write(\"\\\"ambientColor\\\":[0.0000,0.0000,0.0000],\\n\")\n";
+ out << indent << "fh.write(\"\\\"gravity\\\":[0.0000,-9.8100,0.0000],\\n\")\n";
+ out << indent << "fh.write(\"\\\"cameras\\\":[\\n\")\n";
+ out << indent << "fh.write(indent + \"{\\n\")\n";
+ out << indent << "fh.write(indent + \"\\\"name\\\":\\\"Camera\\\",\\n\")\n";
+ out << indent << "fh.write(indent + \"\\\"id\\\":\\\"Camera\\\",\\n\")\n";
+ out << indent << "fh.write(indent + \"\\\"position\\\":[21.7936,2.2312,-85.7292],\\n\")\n";
+ out << indent << "fh.write(indent + \"\\\"rotation\\\":[0.0432,-0.1766,-0.0668],\\n\")\n";
+ out << indent << "fh.write(indent + \"\\\"fov\\\":0.8578,\\n\")\n";
+ out << indent << "fh.write(indent + \"\\\"minZ\\\":10.0000,\\n\")\n";
+ out << indent << "fh.write(indent + \"\\\"maxZ\\\":10000.0000,\\n\")\n";
+ out << indent << "fh.write(indent + \"\\\"speed\\\":1.0000,\\n\")\n";
+ out << indent << "fh.write(indent + \"\\\"inertia\\\":0.9000,\\n\")\n";
+ out << indent << "fh.write(indent + \"\\\"checkCollisions\\\":false,\\n\")\n";
+ out << indent << "fh.write(indent + \"\\\"applyGravity\\\":false,\\n\")\n";
+ out << indent << "fh.write(indent + \"\\\"ellipsoid\\\":[0.2000,0.9000,0.2000]\\n\")\n";
+ out << indent << "fh.write(indent + \"}],\\n\")\n";
+ out << indent << "fh.write(\"\\\"activeCamera\\\":\\\"Camera\\\",\\n\")\n";
+ out << indent << "fh.write(\"\\\"lights\\\":[\\n\")\n";
+ out << indent << "fh.write(indent + \"{\\n\")\n";
+ out << indent << "fh.write(indent + \"\\\"name\\\":\\\"Lamp\\\",\\n\")\n";
+ out << indent << "fh.write(indent + \"\\\"id\\\":\\\"Lamp\\\",\\n\")\n";
+ out << indent << "fh.write(indent + \"\\\"type\\\":0.0000,\\n\")\n";
+ out << indent << "fh.write(indent + \"\\\"position\\\":[4.0762,34.9321,-63.5788],\\n\")\n";
+ out << indent << "fh.write(indent + \"\\\"intensity\\\":1.0000,\\n\")\n";
+ out << indent << "fh.write(indent + \"\\\"diffuse\\\":[1.0000,1.0000,1.0000],\\n\")\n";
+ out << indent << "fh.write(indent + \"\\\"specular\\\":[1.0000,1.0000,1.0000]\\n\")\n";
+ out << indent << "fh.write(indent + \"}],\\n\")\n";
+ out << indent << "fh.write(\"\\\"materials\\\":[],\\n\")\n";
+ out << indent << "fh.write(\"\\\"meshes\\\":[\\n\")\n\n";
+
+ out << indent << "for i in xrange(len(triangles)):\n";
+ out << indent << indent << "vertex_list = []\n";
+ out << indent << indent << "indices_list = []\n";
+ out << indent << indent << "normals_list = []\n";
+ out << indent << indent << "color_list = []\n";
+ out << indent << indent << "for j in xrange(0, len(triangles[i]), 3):\n";
+ out << indent << indent << indent << "tri_vertices = []\n";
+ out << indent << indent << indent << "idcs = triangles[i][j:j + 3]\n";
+ out << indent << indent << indent << "tri_vertices.append(vertices[i][3 * idcs[0]:3 * (idcs[0] + 1)])\n";
+ out << indent << indent << indent << "tri_vertices.append(vertices[i][3 * idcs[1]:3 * (idcs[1] + 1)])\n";
+ out << indent << indent << indent << "tri_vertices.append(vertices[i][3 * idcs[2]:3 * (idcs[2] + 1)])\n";
+ out << indent << indent << indent << "indices_list.append(','.join(str(n) for n in range(len(vertex_list),len(vertex_list) + 3)))\n";
+ out << indent << indent << indent << "# left hand order!\n";
+ out << indent << indent << indent << "vertex_list.append(','.join(\"%.5f\" % (round(n,5) + 0.0) for n in tri_vertices[0]))\n";
+ out << indent << indent << indent << "vertex_list.append(','.join(\"%.5f\" % (round(n,5) + 0.0) for n in tri_vertices[2]))\n";
+ out << indent << indent << indent << "vertex_list.append(','.join(\"%.5f\" % (round(n,5) + 0.0) for n in tri_vertices[1]))\n";
+ out << indent << indent << indent << "normal = getNormal(tri_vertices)\n";
+ out << indent << indent << indent << "normals_list.append(','.join(\"%.5f\" % (round(n,5) + 0.0) for n in normal * 3))\n";
+ out << indent << indent << indent << "color_list.append(','.join([str(n) for n in lookup_table[color[i]]] * 3))\n";
+ out << indent << indent << "fh.write(indent + \"{\\n\")\n";
+ out << indent << indent << "fh.write(indent + \"\\\"name\\\":\\\"element_\" + str(i) + \"\\\",\\n\")\n";
+ out << indent << indent << "fh.write(indent + \"\\\"id\\\":\\\"element_\" + str(i) + \"\\\",\\n\")\n";
+ out << indent << indent << "fh.write(indent + \"\\\"position\\\":[0.0,0.0,0.0],\\n\")\n";
+ out << indent << indent << "fh.write(indent + \"\\\"rotation\\\":[0.0,0.0,0.0],\\n\")\n";
+ out << indent << indent << "fh.write(indent + \"\\\"scaling\\\":[1.0,1.0,1.0],\\n\")\n";
+ out << indent << indent << "fh.write(indent + \"\\\"isVisible\\\":true,\\n\")\n";
+ out << indent << indent << "fh.write(indent + \"\\\"isEnabled\\\":true,\\n\")\n";
+ out << indent << indent << "fh.write(indent + \"\\\"useFlatShading\\\":false,\\n\")\n";
+ out << indent << indent << "fh.write(indent + \"\\\"checkCollisions\\\":false,\\n\")\n";
+ out << indent << indent << "fh.write(indent + \"\\\"billboardMode\\\":0,\\n\")\n";
+ out << indent << indent << "fh.write(indent + \"\\\"receiveShadows\\\":false,\\n\")\n";
+ out << indent << indent << "fh.write(indent + \"\\\"positions\\\":[\" + ','.join(vertex_list) + \"],\\n\")\n";
+ out << indent << indent << "fh.write(indent + \"\\\"normals\\\":[\" + ','.join(normals_list) + \"],\\n\")\n";
+ out << indent << indent << "fh.write(indent + \"\\\"indices\\\":[\" + ','.join(indices_list) + \"],\\n\")\n";
+ out << indent << indent << "fh.write(indent + \"\\\"colors\\\":[\" + ','.join(color_list) + \"],\\n\")\n";
+ out << indent << indent << "fh.write(indent + \"\\\"subMeshes\\\":[\\n\")\n";
+ out << indent << indent << "fh.write(indent + indent + \"{\\n\")\n";
+ out << indent << indent << "fh.write(indent + indent + \"\\\"materialIndex\\\":0,\\n\")\n";
+ out << indent << indent << "fh.write(indent + indent + \" \\\"verticesStart\\\":0,\\n\")\n";
+ out << indent << indent << "fh.write(indent + indent + \" \\\"verticesCount\\\":\" + str(len(triangles[i])) + \",\\n\")\n";
+ out << indent << indent << "fh.write(indent + indent + \" \\\"indexStart\\\":0,\\n\")\n";
+ out << indent << indent << "fh.write(indent + indent + \" \\\"indexCount\\\":\" + str(len(triangles[i])) + \"\\n\")\n";
+ out << indent << indent << "fh.write(indent + indent + \"}]\\n\")\n";
+ out << indent << indent << "fh.write(indent + \"}\")\n";
+ out << indent << indent << "fh.write(\",\\n\")\n\n";
+
+ out << indent << indent << "del normals_list[:]\n";
+ out << indent << indent << "del vertex_list[:]\n";
+ out << indent << indent << "del color_list[:]\n";
+ out << indent << indent << "del indices_list[:]\n\n";
+
+ out << indent << "fh.seek(-2,1)\n";
+ out << indent << "fh.write(\"]\\n\")\n";
+ out << indent << "fh.write(\"}\")\n";
+ out << indent << "fh.close()\n\n";
+
+ out << indent << "index_compressed = base64.b64decode(index_base64)\n";
+ out << indent << "index = zlib.decompress(index_compressed)\n";
+ out << indent << "index = index.replace('##BASENAME##','" << fname << "')\n";
+ out << indent << "fh = open('index.html','w')\n";
+ out << indent << "fh.write(index)\n";
+ out << indent << "fh.close()\n\n";
+
+ out << "def computeMinAngle(idx, curAngle, positions, connections, check):\n";
+ out << indent << "matrix = [[-math.cos(curAngle), -math.sin(curAngle)], [math.sin(curAngle), -math.cos(curAngle)]]\n\n";
+
+ out << indent << "minAngle = 2 * math.pi\n";
+ out << indent << "nextIdx = -1\n\n";
+
+ out << indent << "for j in connections[idx]:\n";
+ out << indent << indent << "direction = [positions[j][0] - positions[idx][0],\n";
+ out << indent << indent << indent << " positions[j][1] - positions[idx][1]]\n";
+ out << indent << indent << "direction = [dot(matrix[0],direction), dot(matrix[1],direction)]\n\n";
+
+ out << indent << indent << "if math.fabs(dot([1.0, 0.0], direction) / distance(positions[j], positions[idx]) - 1.0) < 1e-6: continue\n\n";
+
+ out << indent << indent << "angle = math.fmod(math.atan2(direction[1],direction[0]) + 2 * math.pi, 2 * math.pi)\n\n";
+
+ out << indent << indent << "if angle < minAngle:\n";
+ out << indent << indent << indent << "nextIdx = j\n";
+ out << indent << indent << indent << "minAngle = angle\n";
+ out << indent << indent << "if angle == minAngle and check:\n";
+ out << indent << indent << indent << "dire = [positions[j][0] - positions[idx][0],\n";
+ out << indent << indent << indent << " positions[j][1] - positions[idx][1]]\n";
+ out << indent << indent << indent << "minA0 = math.atan2(dire[1], dire[0])\n";
+ out << indent << indent << indent << "minA1 = computeMinAngle(nextIdx, minA0, positions, connections, False)\n";
+ out << indent << indent << indent << "minA2 = computeMinAngle(j, minA0, positions, connections, False)\n";
+ out << indent << indent << indent << "if minA2[1] < minA2[1]:\n";
+ out << indent << indent << indent << indent << "nextIdx = j\n\n";
+
+ out << indent << "if nextIdx == -1:\n";
+ out << indent << indent << "nextIdx = connections[idx][0]\n\n";
+
+ out << indent << "return (nextIdx, minAngle)\n\n";
+
+ out << "def squashVertices(positionDict, connections):\n";
+ out << indent << "removedItems = []\n";
+ out << indent << "idxChanges = positionDict.keys()\n";
+ out << indent << "for i in positionDict.keys():\n";
+ out << indent << indent << "if i in removedItems:\n";
+ out << indent << indent << indent << "continue\n";
+ out << indent << indent << "for j in positionDict.keys():\n";
+ out << indent << indent << indent << "if j in removedItems or j == i:\n";
+ out << indent << indent << indent << indent << "continue\n\n";
+
+ out << indent << indent << indent << "if distance(positionDict[i], positionDict[j]) < 1e-6:\n";
+ out << indent << indent << indent << indent << "connections[j] = list(set(connections[j]))\n";
+ out << indent << indent << indent << indent << "if i in connections[j]:\n";
+ out << indent << indent << indent << indent << indent << "connections[j].remove(i)\n";
+ out << indent << indent << indent << indent << "if j in connections[i]:\n";
+ out << indent << indent << indent << indent << indent << "connections[i].remove(j)\n\n";
+
+ out << indent << indent << indent << indent << "connections[i].extend(connections[j])\n";
+ out << indent << indent << indent << indent << "connections[i] = list(set(connections[i]))\n";
+ out << indent << indent << indent << indent << "connections[i].sort()\n\n";
+
+ out << indent << indent << indent << indent << "for k in connections.keys():\n";
+ out << indent << indent << indent << indent << indent << "if k == i: continue\n";
+ out << indent << indent << indent << indent << indent << "if j in connections[k]:\n";
+ out << indent << indent << indent << indent << indent << indent << "idx = connections[k].index(j)\n";
+ out << indent << indent << indent << indent << indent << indent << "connections[k][idx] = i\n\n";
+
+ out << indent << indent << indent << indent << "idxChanges[j] = i\n";
+ out << indent << indent << indent << indent << "removedItems.append(j)\n\n";
+
+ out << indent << "for i in removedItems:\n";
+ out << indent << indent << "del positionDict[i]\n";
+ out << indent << indent << "del connections[i]\n\n";
+
+ out << indent << "for i in connections.keys():\n";
+ out << indent << indent << "connections[i] = list(set(connections[i]))\n";
+ out << indent << indent << "connections[i].sort()\n\n";
+
+ out << indent << "return idxChanges\n\n";
+
+ out << "def computeLineEquations(positions, connections):\n";
+ out << indent << "cons = set()\n";
+ out << indent << "for i in connections.keys():\n";
+ out << indent << indent << "for j in connections[i]:\n";
+ out << indent << indent << indent << "cons.add((min(i, j), max(i, j)))\n\n";
+
+ out << indent << "lineEquations = {}\n";
+ out << indent << "for item in cons:\n";
+ out << indent << indent << "a = (positions[item[1]][1] - positions[item[0]][1])\n";
+ out << indent << indent << "b = -(positions[item[1]][0] - positions[item[0]][0])\n\n";
+
+ out << indent << indent << "xm = 0.5 * (positions[item[0]][0] + positions[item[1]][0])\n";
+ out << indent << indent << "ym = 0.5 * (positions[item[0]][1] + positions[item[1]][1])\n";
+ out << indent << indent << "c = -(a * xm + b * ym)\n\n";
+
+ out << indent << indent << "lineEquations[item] = (a, b, c)\n\n";
+
+ out << indent << "return lineEquations\n\n";
+
+ out << "def checkPossibleSegmentIntersection(segment, positions, lineEquations, minAngle, lastIntersection):\n";
+ out << indent << "item1 = (min(segment), max(segment))\n\n";
+
+ out << indent << "(a1, b1, c1) = (0,0,0)\n";
+ out << indent << "A = [0]*2\n";
+ out << indent << "B = A\n\n";
+
+ out << indent << "if segment[0] == None:\n";
+ out << indent << indent << "A = lastIntersection\n";
+ out << indent << indent << "B = positions[segment[1]]\n\n";
+
+ out << indent << indent << "a1 = B[1] - A[1]\n";
+ out << indent << indent << "b1 = -(B[0] - A[0])\n";
+ out << indent << indent << "xm = 0.5 * (A[0] + B[0])\n";
+ out << indent << indent << "ym = 0.5 * (A[1] + B[1])\n";
+ out << indent << indent << "c1 = -(a1 * xm + b1 * ym)\n\n";
+
+ out << indent << "else:\n";
+ out << indent << indent << "A = positions[segment[0]]\n";
+ out << indent << indent << "B = positions[segment[1]]\n\n";
+
+ out << indent << indent << "(a1, b1, c1) = lineEquations[item1]\n\n";
+
+ out << indent << indent << "if segment[1] < segment[0]:\n";
+ out << indent << indent << indent << "(a1, b1, c1) = (-a1, -b1, -c1)\n\n";
+
+ out << indent << "curAngle = math.atan2(a1, -b1)\n";
+ out << indent << "matrix = [[-math.cos(curAngle), -math.sin(curAngle)], [math.sin(curAngle), -math.cos(curAngle)]]\n\n";
+
+ out << indent << "origMinAngle = minAngle\n\n";
+
+ out << indent << "segment1 = [B[0] - A[0], B[1] - A[1], 0.0]\n\n";
+
+ out << indent << "intersectingSegments = []\n";
+ out << indent << "distanceAB = distance(A, B)\n";
+ out << indent << "for item2 in lineEquations.keys():\n";
+ out << indent << indent << "item = item2\n";
+ out << indent << indent << "C = positions[item[0]]\n";
+ out << indent << indent << "D = positions[item[1]]\n\n";
+
+ out << indent << indent << "if segment[0] == None:\n";
+ out << indent << indent << indent << "if (segment[1] == item[0] or\n";
+ out << indent << indent << indent << indent << "segment[1] == item[1]): continue\n";
+ out << indent << indent << "else:\n";
+ out << indent << indent << indent << "if (item1[0] == item[0] or\n";
+ out << indent << indent << indent << indent << "item1[1] == item[0] or\n";
+ out << indent << indent << indent << indent << "item1[0] == item[1] or\n";
+ out << indent << indent << indent << indent << "item1[1] == item[1]): continue\n\n";
+
+ out << indent << indent << "nodes = set([item1[0],item1[1],item[0],item[1]])\n";
+ out << indent << indent << "if len(nodes) < 4: continue # share same vertex\n\n";
+
+ out << indent << indent << "(a2, b2, c2) = lineEquations[item]\n\n";
+
+ out << indent << indent << "segment2 = [C[0] - A[0], C[1] - A[1], 0.0]\n";
+ out << indent << indent << "segment3 = [D[0] - A[0], D[1] - A[1], 0.0]\n\n";
+
+ out << indent << indent << "# check that C and D aren't on the same side of AB\n";
+ out << indent << indent << "if cross(segment1, segment2)[2] * cross(segment1, segment3)[2] > 0.0: continue\n\n";
+
+ out << indent << indent << "if cross(segment1, segment2)[2] < 0.0 or cross(segment1, segment3)[2] > 0.0:\n";
+ out << indent << indent << indent << "(C, D, a2, b2, c2) = (D, C, -a2, -b2, -c2)\n";
+ out << indent << indent << indent << "item = (item[1], item[0])\n\n";
+
+ out << indent << indent << "denominator = a1 * b2 - b1 * a2\n";
+ out << indent << indent << "if math.fabs(denominator) < 1e-9: continue\n\n";
+
+ out << indent << indent << "px = (b1 * c2 - b2 * c1) / denominator\n";
+ out << indent << indent << "py = (a2 * c1 - a1 * c2) / denominator\n\n";
+
+ out << indent << indent << "distanceCD = distance(C, D)\n\n";
+
+ out << indent << indent << "distanceAP = distance(A, [px, py])\n";
+ out << indent << indent << "distanceBP = distance(B, [px, py])\n";
+ out << indent << indent << "distanceCP = distance(C, [px, py])\n";
+ out << indent << indent << "distanceDP = distance(D, [px, py])\n\n";
+
+ out << indent << indent << "# check intersection is between AB and CD\n";
+ out << indent << indent << "check1 = (distanceAP - 1e-6 < distanceAB and distanceBP - 1e-6 < distanceAB)\n";
+ out << indent << indent << "check2 = (distanceCP - 1e-6 < distanceCD and distanceDP - 1e-6 < distanceCD)\n";
+ out << indent << indent << "if not check1 or not check2: continue\n\n";
+
+ out << indent << indent << "if math.fabs(dot(segment1, [D[0] - C[0], D[1] - C[1], 0.0]) / (distanceAB * distanceCD) + 1.0) < 1e-9: continue\n\n";
+
+ out << indent << indent << "if ((distanceAP < 1e-6) or\n";
+ out << indent << indent << indent << "(distanceBP < 1e-6 and distanceCP < 1e-6) or\n";
+ out << indent << indent << indent << "(distanceDP < 1e-6)):\n";
+ out << indent << indent << indent << "continue\n\n";
+
+ out << indent << indent << "direction = [D[0] - C[0], D[1] - C[1]]\n";
+ out << indent << indent << "direction = [dot(matrix[0], direction), dot(matrix[1], direction)]\n";
+ out << indent << indent << "angle = math.fmod(math.atan2(direction[1], direction[0]) + 2 * math.pi, 2 * math.pi)\n\n";
+
+ out << indent << indent << "newSegment = ([px, py], item[1], distanceAP, angle)\n\n";
+
+ out << indent << indent << "if distanceCP < 1e-6 and angle > origMinAngle: continue\n";
+ out << indent << indent << "if distanceBP > 1e-6 and angle > math.pi: continue\n\n";
+
+ out << indent << indent << "if len(intersectingSegments) == 0:\n";
+ out << indent << indent << indent << "intersectingSegments.append(newSegment)\n";
+ out << indent << indent << indent << "minAngle = angle\n";
+ out << indent << indent << "else:\n";
+ out << indent << indent << indent << "if intersectingSegments[0][2] - 1e-9 > distanceAP:\n";
+ out << indent << indent << indent << indent << "intersectingSegments[0] = newSegment\n";
+ out << indent << indent << indent << indent << "minAngle = angle\n";
+ out << indent << indent << indent << "elif intersectingSegments[0][2] + 1e-9 > distanceAP and angle < minAngle:\n";
+ out << indent << indent << indent << indent << "intersectingSegments[0] = newSegment\n";
+ out << indent << indent << indent << indent << "minAngle = angle\n\n";
+
+ out << indent << "return intersectingSegments\n\n";
+
+ out << "def projectToPlane(normal):\n";
+ out << indent << "fh = open('" << fname << "_ElementPositions.gpl','w')\n";
+ // out << indent << "fg = open('test2.dat', 'w')\n";
+ out << indent << "normal = normalize(normal)\n";
+ out << indent << "ori = getQuaternion(normal, [0, 0, 1])\n\n";
+
+ out << indent << "left2Right = [0, 0, 1]\n";
+ out << indent << "if math.fabs(math.fabs(dot(normal, left2Right)) - 1) < 1e-9:\n";
+ out << indent << indent << "left2Right = [1, 0, 0]\n";
+ out << indent << "rotL2R = ori.rotate(left2Right)\n";
+ out << indent << "deviation = math.atan2(rotL2R[1], rotL2R[0])\n";
+ out << indent << "rotBack = Quaternion([math.cos(0.5 * deviation), 0, 0, -math.sin(0.5 * deviation)])\n";
+ out << indent << "ori = rotBack * ori\n\n";
+
+ out << indent << "decodeVertices()\n\n";
+
+ out << indent << "for i in xrange(len(vertices)):\n";
+ out << indent << indent << "positions = {}\n";
+ out << indent << indent << "connections = {}\n";
+ out << indent << indent << "for j in xrange(0, len(vertices[i]), 3):\n";
+ out << indent << indent << indent << "nextPos3D = ori.rotate(vertices[i][j:j+3])\n";
+ out << indent << indent << indent << "nextPos2D = nextPos3D[0:2]\n";
+ out << indent << indent << indent << "positions[j/3] = nextPos2D\n\n";
+
+ out << indent << indent << "if len(positions) == 0:\n";
+ out << indent << indent << indent << "continue\n\n";
+
+ out << indent << indent << "idx = 0\n";
+ out << indent << indent << "maxX = positions[0][0]\n";
+ out << indent << indent << "for j in positions.keys():\n";
+ out << indent << indent << indent << "if positions[j][0] > maxX:\n";
+ out << indent << indent << indent << indent << "maxX = positions[j][0]\n";
+ out << indent << indent << indent << indent << "idx = j\n";
+ out << indent << indent << indent << "if positions[j][0] == maxX and positions[j][1] > positions[idx][1]:\n";
+ out << indent << indent << indent << indent << "idx = j\n\n";
+
+ out << indent << indent << "for j in xrange(0, len(triangles[i]), 3):\n";
+ out << indent << indent << indent << "for k in xrange(0, 3):\n";
+ out << indent << indent << indent << indent << "vertIdx = triangles[i][j + k]\n";
+ out << indent << indent << indent << indent << "if not vertIdx in connections:\n";
+ out << indent << indent << indent << indent << indent << "connections[vertIdx] = []\n";
+ out << indent << indent << indent << indent << "for l in xrange(1, 3):\n";
+ out << indent << indent << indent << indent << indent << "connections[vertIdx].append(triangles[i][j + ((k + l) % 3)])\n\n";
+
+ out << indent << indent << "numConnections = 0\n";
+ out << indent << indent << "for j in connections.keys():\n";
+ out << indent << indent << indent << "connections[j] = list(set(connections[j]))\n";
+ out << indent << indent << indent << "numConnections += len(connections[j])\n\n";
+ out << indent << indent << "numConnections /= 2\n";
+
+ out << indent << indent << "idChanges = squashVertices(positions, connections)\n\n";
+
+ out << indent << indent << "lineEquations = computeLineEquations(positions, connections)\n\n";
+
+ // out << indent << indent << "for j in positions.keys():\n";
+ // out << indent << indent << indent << "for k in connections[j]:\n";
+ // out << indent << indent << indent << indent << "if j < k:\n";
+ // out << indent << indent << indent << indent << indent << "fg.write(\"%.8f %.8f \\n%.8f %.8f\\n# %d %d\\n\\n\" %(positions[j][0], positions[j][1], positions[k][0], positions[k][1], j, k))\n";
+ // out << indent << indent << indent << "fg.write(\"\\n\")\n\n";
+
+ out << indent << indent << "idx = idChanges[idx]\n";
+ out << indent << indent << "fh.write(\"%.6f %.6f %d\\n\" % (positions[idx][0], positions[idx][1], idx))\n\n";
+
+ out << indent << indent << "curAngle = math.pi\n";
+ out << indent << indent << "origin = idx\n";
+ out << indent << indent << "count = 0\n";
+ out << indent << indent << "passed = []\n";
+ out << indent << indent << "while (count == 0 or distance(positions[origin], positions[idx]) > 1e-9) and not count > numConnections:\n";
+ out << indent << indent << indent << "nextGen = computeMinAngle(idx, curAngle, positions, connections, False)\n";
+ out << indent << indent << indent << "nextIdx = nextGen[0]\n";
+ out << indent << indent << indent << "direction = [positions[nextIdx][0] - positions[idx][0],\n";
+ out << indent << indent << indent << indent << " positions[nextIdx][1] - positions[idx][1]]\n";
+ out << indent << indent << indent << "curAngle = math.atan2(direction[1], direction[0])\n\n";
+
+ out << indent << indent << indent << "intersections = checkPossibleSegmentIntersection((idx, nextIdx), positions, lineEquations, nextGen[1], [])\n";
+ out << indent << indent << indent << "if len(intersections) > 0:\n";
+ out << indent << indent << indent << indent << "while len(intersections) > 0 and not count > numConnections:\n";
+ out << indent << indent << indent << indent << indent << "fh.write(\"%.6f %.6f\\n\" %(intersections[0][0][0], intersections[0][0][1]))\n";
+ out << indent << indent << indent << indent << indent << "count += 1\n";
+ out << indent << "\n";
+ out << indent << indent << indent << indent << indent << "idx = intersections[0][1]\n";
+ out << indent << indent << indent << indent << indent << "direction = [positions[idx][0] - intersections[0][0][0],\n";
+ out << indent << indent << indent << indent << indent << " positions[idx][1] - intersections[0][0][1]]\n";
+ out << indent << indent << indent << indent << indent << "curAngle = math.atan2(direction[1], direction[0])\n";
+ out << indent << indent << indent << indent << indent << "nextGen = computeMinAngle(idx, curAngle, positions, connections, False)\n";
+ out << indent << "\n";
+ out << indent << indent << indent << indent << indent << "intersections = checkPossibleSegmentIntersection((None, idx), positions, lineEquations, nextGen[1], intersections[0][0])\n";
+ out << indent << indent << indent << "else:\n";
+ out << indent << indent << indent << indent << "idx = nextIdx\n";
+ out << indent << "\n";
+ out << indent << indent << indent << "fh.write(\"%.6f %.6f %d\\n\" % (positions[idx][0], positions[idx][1], idx))\n";
+ out << indent << "\n";
+ out << indent << indent << indent << "if idx in passed:\n";
+ out << indent << indent << indent << indent << "direction1 = [positions[idx][0] - positions[passed[-1]][0],\n";
+ out << indent << indent << indent << indent << indent << " positions[idx][1] - positions[passed[-1]][1]]\n";
+ out << indent << indent << indent << indent << "direction2 = [positions[origin][0] - positions[passed[-1]][0],\n";
+ out << indent << indent << indent << indent << indent << " positions[origin][1] - positions[passed[-1]][1]]\n";
+ out << indent << indent << indent << indent << "dist1 = distance(positions[idx], positions[passed[-1]])\n";
+ out << indent << indent << indent << indent << "dist2 = distance(positions[origin], positions[passed[-1]])\n";
+ out << indent << indent << indent << indent << "if dist1 * dist2 > 0.0 and math.fabs(math.fabs(dot(direction1, direction2) / (dist1 * dist2)) - 1.0) > 1e-9:\n";
+ out << indent << indent << indent << indent << indent << "sys.stderr.write(\"error: projection cycling on element id: %d, vertex id: %d\\n\" %(i, idx))\n";
+ out << indent << indent << indent << indent << "break\n\n";
+
+ out << indent << indent << indent << "passed.append(idx)\n";
+ out << indent << indent << indent << "count += 1\n";
+ out << indent << indent << "fh.write(\"\\n\")\n\n";
+
+ out << indent << indent << "if count > numConnections:\n";
+ out << indent << indent << indent << "sys.stderr.write(\"error: projection cycling on element id: %d\\n\" % i)\n\n";
+
+ out << indent << indent << "for j in xrange(0, len(decoration[i]), 6):\n";
+ out << indent << indent << indent << "for k in xrange(j, j + 6, 3):\n";
+ out << indent << indent << indent << indent << "nextPos3D = ori.rotate(decoration[i][k:k+3])\n";
+ out << indent << indent << indent << indent << "fh.write(\"%.6f %.6f\\n\" % (nextPos3D[0], nextPos3D[1]))\n";
+ out << indent << indent << indent << "fh.write(\"\\n\")\n\n";
+
+ out << indent << "fh.close()\n\n";
+
+ out << "parser = argparse.ArgumentParser()\n";
+ out << "parser.add_argument('--export-vtk', action='store_true')\n";
+ out << "parser.add_argument('--export-web', action='store_true')\n";
+ out << "parser.add_argument('--project-to-plane', nargs=3, type=float)\n";
+ out << "args = parser.parse_args()\n\n";
+
+ out << "if (args.export_vtk):\n";
+ out << indent << "exportVTK()\n\n";
+
+ out << "if (args.export_web):\n";
+ out << indent << "exportWeb()\n\n";
+
+ out << "if (args.project_to_plane):\n";
+ out << indent << "projectToPlane(args.project_to_plane)";
+
+}
+
+MeshData MeshGenerator::getCylinder(double length,
+ double minor,
+ double major,
+ double formFactor,
+ const unsigned int numSegments) {
+ double angle = 0;
+ double dAngle = Physics::two_pi / numSegments;
+
+ MeshData mesh;
+ mesh.vertices_m.push_back(Vector_t(0.0));
+ for (unsigned int i = 0; i < numSegments; ++ i, angle += dAngle) {
+ Vector_t node(major * cos(angle), minor * sin(angle), 0);
+ mesh.vertices_m.push_back(node);
+
+ unsigned int next = (i + 1) % numSegments;
+ Vektor<unsigned int, 3> baseTriangle(0u, next + 1, i + 1);
+ mesh.triangles_m.push_back(baseTriangle);
+
+ Vektor<unsigned int, 3> sideTriangle1(i + 1, next + 1, i + numSegments + 2);
+ mesh.triangles_m.push_back(sideTriangle1);
+
+ Vektor<unsigned int, 3> sideTriangle2(next + 1, next + numSegments + 2, i + numSegments + 2);
+ mesh.triangles_m.push_back(sideTriangle2);
+ }
+
+ mesh.vertices_m.push_back(Vector_t(0.0, 0.0, length));
+ for (unsigned int i = 0; i < numSegments; ++ i, angle += dAngle) {
+ Vector_t node(formFactor * major * cos(angle), formFactor * minor * sin(angle), length);
+ mesh.vertices_m.push_back(node);
+
+ unsigned int next = (i + 1) % numSegments;
+ Vektor<unsigned int, 3> topTriangle(numSegments + 1, i + numSegments + 2, next + numSegments + 2);
+ mesh.triangles_m.push_back(topTriangle);
+ }
+
+ mesh.decorations_m.push_back(std::make_pair(Vector_t(0.0), Vector_t(0, 0, length)));
+
+ return mesh;
+}
+
+MeshData MeshGenerator::getBox(double length,
+ double width,
+ double height,
+ double formFactor) {
+
+ MeshData mesh;
+ mesh.vertices_m.push_back(Vector_t(width, height, 0.0));
+ mesh.vertices_m.push_back(Vector_t(-width, height, 0.0));
+ mesh.vertices_m.push_back(Vector_t(-width, -height, 0.0));
+ mesh.vertices_m.push_back(Vector_t(width, -height, 0.0));
+
+ mesh.vertices_m.push_back(Vector_t(formFactor * width, formFactor * height, length));
+ mesh.vertices_m.push_back(Vector_t(-formFactor * width, formFactor * height, length));
+ mesh.vertices_m.push_back(Vector_t(-formFactor * width, -formFactor * height, length));
+ mesh.vertices_m.push_back(Vector_t(formFactor * width, -formFactor * height, length));
+
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(0, 2, 1));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(0, 3, 2));
+
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(0, 1, 4));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(4, 1, 5));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(1, 2, 5));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(5, 2, 6));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(2, 3, 6));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(6, 3, 7));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(3, 0, 7));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(7, 0, 4));
+
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(4, 5, 6));
+ mesh.triangles_m.push_back(Vektor<unsigned int, 3>(4, 6, 7));
+
+ mesh.decorations_m.push_back(std::make_pair(Vector_t(0.0), Vector_t(0, 0, length)));
+
+ return mesh;
+}
\ No newline at end of file
diff --git a/src/Classic/Structure/MeshGenerator.h b/src/Classic/Structure/MeshGenerator.h
new file mode 100644
index 0000000000000000000000000000000000000000..2806a012e1cc348d812076e32e84d163c813ea82
--- /dev/null
+++ b/src/Classic/Structure/MeshGenerator.h
@@ -0,0 +1,41 @@
+#include "AbsBeamline/ElementBase.h"
+
+struct MeshData {
+ std::vector<Vector_t> vertices_m;
+ std::vector<Vektor<unsigned int, 3> > triangles_m;
+ std::vector<std::pair<Vector_t, Vector_t> > decorations_m;
+ int type_m;
+};
+
+
+class MeshGenerator {
+public:
+ MeshGenerator();
+
+ void add(const ElementBase &element);
+
+ void write(const std::string &fname);
+private:
+ enum MeshType {OTHER = 0
+ , DIPOLE
+ , QUADRUPOLE
+ , SEXTUPOLE
+ , OCTUPOLE
+ , SOLENOID
+ , RFCAVITY
+ };
+
+ static MeshData getCylinder(double length,
+ double minor,
+ double major,
+ double formFactor,
+ const unsigned int numSegments = 36);
+
+ static MeshData getBox(double length,
+ double width,
+ double height,
+ double formFactor);
+
+
+ std::vector<MeshData> elements_m;
+};
\ No newline at end of file
diff --git a/src/Classic/Utilities/ClassicRandom.cpp b/src/Classic/Utilities/ClassicRandom.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..f312ac1a9087eee6fbb2f08ef74363dc4695ba44
--- /dev/null
+++ b/src/Classic/Utilities/ClassicRandom.cpp
@@ -0,0 +1,143 @@
+// ------------------------------------------------------------------------
+// $RCSfile: Random.cpp,v $
+// ------------------------------------------------------------------------
+// $Revision: 1.1.1.1 $
+// ------------------------------------------------------------------------
+// Copyright: see Copyright.readme
+// ------------------------------------------------------------------------
+//
+// Class: Random:
+// A standard random generator.
+// ------------------------------------------------------------------------
+// Class category: Utilities
+// ------------------------------------------------------------------------
+//
+// $Date: 2000/03/27 09:32:38 $
+// $Author: fci $
+//
+// ------------------------------------------------------------------------
+
+#include "Utilities/ClassicRandom.h"
+#include <cmath>
+
+
+// using a default seed value, initialize the pseudo-random number
+// generator and load the array irn with a set of random numbers in
+// [0, maxran)
+// input: a seed value in the range [0..maxran)
+Random::Random() {
+ init55(123456789);
+}
+
+
+// using the given seed value, initialize the pseudo-random number
+// generator and load the array irn with a set of random numbers in
+// [0, maxran)
+// input: a seed value in the range [0..maxran)
+Random::Random(int seed) {
+ init55(seed);
+}
+
+
+// destructor for random generator.
+Random::~Random()
+{}
+
+
+// set new seed.
+void Random::reseed(int seed) {
+ init55(seed);
+}
+
+
+// return a real pseudo-random number in the range [0,1).
+double Random::uniform() {
+ const double scale = 1.0 / maxran;
+
+ if(next >= nr) irngen();
+
+ return scale * (double) irn[next++];
+}
+
+
+// return two double Gaussioan pseudo-random numbers
+void Random::gauss(double &gr1, double &gr2) {
+ double xi1, xi2, zzr;
+
+ // construct two random numbers in range [-1.0,+1.0)
+ // reject, if zzr > 1
+ do {
+ xi1 = uniform() * 2.0 - 1.0;
+ xi2 = uniform() * 2.0 - 1.0;
+ zzr = xi1 * xi1 + xi2 * xi2;
+ } while(zzr > 1.0);
+
+ // transform accepted point to Gaussian distribution
+ zzr = sqrt(-2.0 * log(zzr) / zzr);
+ gr1 = xi1 * zzr;
+ gr2 = xi2 * zzr;
+}
+
+
+// return an integer pseudo-random number in the range [0,maxran]
+int Random::integer() {
+ if(next > nr) irngen();
+
+ return irn[next++];
+}
+
+
+// initializes the random generator after setting a seed.
+void Random::init55(int seed) {
+ static const int nd = 21;
+ next = 0;
+
+ if(seed < 0)
+ seed = - seed;
+ else if(seed == 0)
+ seed = 1234556789;
+
+ int j = seed % maxran;
+ irn[nr-1] = j;
+ int k = 1;
+
+ for(int i = 1; i < nr; i++) {
+ int ii = (nd * i) % nr;
+ irn[ii-1] = k;
+ k = j - k;
+
+ if(k < 0) k += maxran;
+
+ j = irn[ii-1];
+ }
+
+ // call irngen a few times to "warm it up"
+ irngen();
+ irngen();
+ irngen();
+}
+
+
+// generate the next "nr" elements in the pseudo-random sequence.
+void Random::irngen() {
+ static const int nj = 24;
+ int i, j;
+
+ for(i = 0; i < nj; i++) {
+ j = irn[i] - irn[i+nr-nj];
+
+ if(j < 0) j += maxran;
+
+ irn[i] = j;
+ }
+
+ for(i = nj; i < nr; i++) {
+ j = irn[i] - irn[i-nj];
+
+ if(j < 0) j += maxran;
+
+ irn[i] = j;
+ }
+
+ next = 0;
+}
diff --git a/src/Classic/Utilities/ClassicRandom.h b/src/Classic/Utilities/ClassicRandom.h
new file mode 100644
index 0000000000000000000000000000000000000000..f6d7ed49767b0a9df6038e84fc7114c5543e5e9c
--- /dev/null
+++ b/src/Classic/Utilities/ClassicRandom.h
@@ -0,0 +1,81 @@
+#ifndef MAD_Random_HH
+#define MAD_Random_HH
+
+// ------------------------------------------------------------------------
+// $RCSfile: ClassicRandom.h,v $
+// ------------------------------------------------------------------------
+// $Revision: 1.1.1.1 $
+// ------------------------------------------------------------------------
+// Copyright: see Copyright.readme
+// ------------------------------------------------------------------------
+//
+// Class: Random
+//
+// ------------------------------------------------------------------------
+// Class category: Utilities
+// ------------------------------------------------------------------------
+//
+// $Date: 2000/03/27 09:32:38 $
+// $Author: fci $
+//
+// ------------------------------------------------------------------------
+
+// the random numbers are generated in batches of 55
+const int nr = 55;
+
+
+// the random integers are generated in the range [0, MAXRAN)
+static const int maxran = 1000000000;
+
+/// The CLASSIC random generator.
+// This generator is based on:
+// [center]
+// D. Knuth: The Art of Computer Programming, Vol. 2, 2nd edition.
+// [/center]
+
+class Random {
+
+public:
+
+ /// Constructor with default seed.
+ Random();
+
+ /// Constructor with given seed.
+ // The argument is the new seed, an integer in the range [0, 1000000000].
+ Random(int seed);
+
+ ~Random();
+
+ /// Set a new seed.
+ // The argument is the new seed, an integer in the range [0, 1000000000].
+ void reseed(int seed = 123456789);
+
+ /// Uniform distribution.
+ // Return a real pseudo-random number in the range [0,1).
+ double uniform();
+
+ /// Gaussian distribution.
+ // Return two real Gaussian pseudo-random numbers with unit standard
+ // deviation. The values are placed in the two arguments.
+ void gauss(double &gr1, double &gr2);
+
+ /// Uniform distribution.
+ // Return an integer pseudo-random number in the range [0,1000000000).
+ int integer();
+
+ /// Initialise random number generator.
+ void init55(int seed);
+
+private:
+
+ // generate next batch of random numbers
+ void irngen();
+
+ // a set of "NR" random integers
+ int irn[nr];
+
+ // the next item to be used in the random sequence
+ int next;
+};
+
+#endif // MAD_Random_HH
diff --git a/src/Classic/Utilities/OptionTypes.h b/src/Classic/Utilities/OptionTypes.h
new file mode 100644
index 0000000000000000000000000000000000000000..cfde4eb555ed16291f9ab313474d2ed6099004de
--- /dev/null
+++ b/src/Classic/Utilities/OptionTypes.h
@@ -0,0 +1,7 @@
+namespace Options {
+
+ enum OPENMODE {
+ WRITE,
+ APPEND
+ };
+}
diff --git a/src/Classic/Utilities/Util.cpp b/src/Classic/Utilities/Util.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..eb781448df2383bc3e487d825e268683505dcc8b
--- /dev/null
+++ b/src/Classic/Utilities/Util.cpp
@@ -0,0 +1,314 @@
+#include "Utilities/Util.h"
+#include "Physics/Physics.h"
+#include "OPALrevision.h"
+
+#include <boost/regex.hpp>
+
+#include <queue>
+#include <string>
+#include <iostream>
+#include <fstream>
+#include <algorithm>
+#include <cctype>
+
+namespace Util {
+ std::string getGitRevision() {
+ return std::string(GIT_VERSION);
+ }
+
+ Vector_t getTaitBryantAngles(Quaternion rotation, const std::string &elementName) {
+ Quaternion rotationBAK = rotation;
+
+ // y axis
+ Vector_t tmp = rotation.rotate(Vector_t(0, 0, 1));
+ tmp(1) = 0.0;
+ // tmp /= euclidian_norm(tmp);
+ double theta = fmod(atan2(tmp(0), tmp(2)) + Physics::two_pi, Physics::two_pi);
+
+ Quaternion rotTheta(cos(0.5 * theta), 0, sin(0.5 * theta), 0);
+ rotation = rotTheta.conjugate() * rotation;
+
+ // x axis
+ tmp = rotation.rotate(Vector_t(0, 0, 1));
+ tmp(0) = 0.0;
+ tmp /= euclidian_norm(tmp);
+ double phi = fmod(atan2(-tmp(1), tmp(2)) + Physics::two_pi, Physics::two_pi);
+
+ Quaternion rotPhi(cos(0.5 * phi), sin(0.5 * phi), 0, 0);
+ rotation = rotPhi.conjugate() * rotation;
+
+ // z axis
+ tmp = rotation.rotate(Vector_t(1, 0, 0));
+ tmp(2) = 0.0;
+ tmp /= euclidian_norm(tmp);
+ double psi = fmod(atan2(tmp(1), tmp(0)) + Physics::two_pi, Physics::two_pi);
+
+ return Vector_t(theta, phi, psi);
+ }
+
+ std::string toUpper(const std::string &str) {
+ std::string output = str;
+ std::transform(output.begin(), output.end(), output.begin(), [](const char c) { return toupper(c);});
+
+ return output;
+ }
+
+ KahanAccumulation::KahanAccumulation():
+ sum(0.0),
+ correction(0.0)
+ { }
+
+
+ KahanAccumulation& KahanAccumulation::operator+=(double value) {
+ long double y = value - this->correction;
+ long double t = this->sum + y;
+ this->correction = (t - this->sum) - y;
+ this->sum = t;
+ return *this;
+ }
+
+ KahanAccumulation KahanSum(KahanAccumulation accumulation, double value)
+ {
+ KahanAccumulation result;
+ long double y = value - accumulation.correction;
+ long double t = accumulation.sum + y;
+ result.correction = (t - accumulation.sum) - y;
+ result.sum = t;
+ return result;
+ }
+
+ /** \brief
+ * rewind the SDDS file such that the spos of the last step is less or equal to maxSPos
+ */
+ unsigned int rewindLinesSDDS(const std::string &fileName, double maxSPos, bool checkForTime) {
+ if (Ippl::myNode() > 0) return 0;
+
+ std::string line;
+ std::queue<std::string> allLines;
+ std::fstream fs;
+ unsigned int numParameters = 0;
+ unsigned int numColumns = 0;
+ unsigned int sposColumnNr = 0;
+ unsigned int timeColumnNr = 0;
+ double spos, time = 0.0;
+ double lastTime = -1.0;
+
+ boost::regex parameters("¶meter");
+ boost::regex column("&column");
+ boost::regex data("&data");
+ boost::regex end("&end");
+ boost::regex name("name=([a-zA-Z0-9\\$_]+)");
+ boost::smatch match;
+
+ std::istringstream linestream;
+ fs.open (fileName.c_str(), std::fstream::in);
+
+ if (!fs.is_open()) return 0;
+
+ while (getline(fs, line)) {
+ allLines.push(line);
+ }
+ fs.close();
+
+
+ fs.open (fileName.c_str(), std::fstream::out);
+
+ if (!fs.is_open()) return 0;
+
+ do {
+ line = allLines.front();
+ allLines.pop();
+ fs << line << "\n";
+ if (boost::regex_search(line, match, parameters)) {
+ ++numParameters;
+ while (!boost::regex_search(line, match, end)) {
+ line = allLines.front();
+ allLines.pop();
+ fs << line << "\n";
+ }
+ } else if (boost::regex_search(line, match, column)) {
+ ++numColumns;
+ while (!boost::regex_search(line, match, name)) {
+ line = allLines.front();
+ allLines.pop();
+ fs << line << "\n";
+ }
+ if (match[1] == "s") {
+ sposColumnNr = numColumns;
+ }
+ if (match[1] == "t") {
+ timeColumnNr = numColumns;
+ }
+ while (!boost::regex_search(line, match, end)) {
+ line = allLines.front();
+ allLines.pop();
+ fs << line << "\n";
+ }
+ }
+ } while (!boost::regex_search(line, match, data));
+
+ while (!boost::regex_search(line, match, end)) {
+ line = allLines.front();
+ allLines.pop();
+ fs << line << "\n";
+ }
+
+ for (unsigned int i = 0; i < numParameters; ++ i) {
+ fs << allLines.front() << "\n";
+ allLines.pop();
+ }
+
+ while (allLines.size() > 0) {
+ line = allLines.front();
+
+ linestream.str(line);
+ if (checkForTime) {
+ for (unsigned int i = 0; i < timeColumnNr; ++ i) {
+ linestream >> time;
+ }
+ }
+
+ linestream.str(line);
+ for (unsigned int i = 0; i < sposColumnNr; ++ i) {
+ linestream >> spos;
+ }
+
+ if ((spos - maxSPos) > 1e-20 * Physics::c) break;
+
+ allLines.pop();
+
+ if (!checkForTime || (time - lastTime) > 1e-20)
+ fs << line << "\n";
+
+ lastTime = time;
+ }
+
+ fs.close();
+
+ if (allLines.size() > 0)
+ INFOMSG(level2 << "rewind " + fileName + " to " + std::to_string(maxSPos) << " m" << endl);
+
+ return allLines.size();
+ }
+
+ /*
+ base64.cpp and base64.h
+
+ Copyright (C) 2004-2008 René Nyffenegger
+
+ This source code is provided 'as-is', without any express or implied
+ warranty. In no event will the author be held liable for any damages
+ arising from the use of this software.
+
+ Permission is granted to anyone to use this software for any purpose,
+ including commercial applications, and to alter it and redistribute it
+ freely, subject to the following restrictions:
+
+ 1. The origin of this source code must not be misrepresented; you must not
+ claim that you wrote the original source code. If you use this source code
+ in a product, an acknowledgment in the product documentation would be
+ appreciated but is not required.
+
+ 2. Altered source versions must be plainly marked as such, and must not be
+ misrepresented as being the original source code.
+
+ 3. This notice may not be removed or altered from any source distribution.
+
+ René Nyffenegger rene.nyffenegger@adp-gmbh.ch
+
+ */
+
+ static const std::string base64_chars = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"
+ "abcdefghijklmnopqrstuvwxyz"
+ "0123456789+/";
+
+
+ static inline bool is_base64(unsigned char c) {
+ return (isalnum(c) || (c == '+') || (c == '/'));
+ }
+
+ std::string base64_encode(const std::string &string_to_encode) {
+ const char* bytes_to_encode = string_to_encode.c_str();
+ unsigned int in_len = string_to_encode.size();
+ std::string ret;
+ int i = 0;
+ int j = 0;
+ unsigned char char_array_3[3];
+ unsigned char char_array_4[4];
+
+ while (in_len--) {
+ char_array_3[i++] = *(bytes_to_encode++);
+ if (i == 3) {
+ char_array_4[0] = (char_array_3[0] & 0xfc) >> 2;
+ char_array_4[1] = ((char_array_3[0] & 0x03) << 4) + ((char_array_3[1] & 0xf0) >> 4);
+ char_array_4[2] = ((char_array_3[1] & 0x0f) << 2) + ((char_array_3[2] & 0xc0) >> 6);
+ char_array_4[3] = char_array_3[2] & 0x3f;
+
+ for(i = 0; (i <4) ; i++)
+ ret += base64_chars[char_array_4[i]];
+ i = 0;
+ }
+ }
+
+ if (i)
+ {
+ for(j = i; j < 3; j++)
+ char_array_3[j] = '\0';
+
+ char_array_4[0] = (char_array_3[0] & 0xfc) >> 2;
+ char_array_4[1] = ((char_array_3[0] & 0x03) << 4) + ((char_array_3[1] & 0xf0) >> 4);
+ char_array_4[2] = ((char_array_3[1] & 0x0f) << 2) + ((char_array_3[2] & 0xc0) >> 6);
+ char_array_4[3] = char_array_3[2] & 0x3f;
+
+ for (j = 0; (j < i + 1); j++)
+ ret += base64_chars[char_array_4[j]];
+
+ while((i++ < 3))
+ ret += '=';
+
+ }
+
+ return ret;
+ }
+
+ std::string base64_decode(std::string const& encoded_string) {
+ int in_len = encoded_string.size();
+ int i = 0;
+ int j = 0;
+ int in_ = 0;
+ unsigned char char_array_4[4], char_array_3[3];
+ std::string ret;
+
+ while (in_len-- && ( encoded_string[in_] != '=') && is_base64(encoded_string[in_])) {
+ char_array_4[i++] = encoded_string[in_]; in_++;
+ if (i ==4) {
+ for (i = 0; i <4; i++)
+ char_array_4[i] = base64_chars.find(char_array_4[i]);
+
+ char_array_3[0] = (char_array_4[0] << 2) + ((char_array_4[1] & 0x30) >> 4);
+ char_array_3[1] = ((char_array_4[1] & 0xf) << 4) + ((char_array_4[2] & 0x3c) >> 2);
+ char_array_3[2] = ((char_array_4[2] & 0x3) << 6) + char_array_4[3];
+
+ for (i = 0; (i < 3); i++)
+ ret += char_array_3[i];
+ i = 0;
+ }
+ }
+
+ if (i) {
+ for (j = i; j <4; j++)
+ char_array_4[j] = 0;
+
+ for (j = 0; j <4; j++)
+ char_array_4[j] = base64_chars.find(char_array_4[j]);
+
+ char_array_3[0] = (char_array_4[0] << 2) + ((char_array_4[1] & 0x30) >> 4);
+ char_array_3[1] = ((char_array_4[1] & 0xf) << 4) + ((char_array_4[2] & 0x3c) >> 2);
+ char_array_3[2] = ((char_array_4[2] & 0x3) << 6) + char_array_4[3];
+
+ for (j = 0; (j < i - 1); j++) ret += char_array_3[j];
+ }
+
+ return ret;
+ }
+}
\ No newline at end of file
diff --git a/src/Classic/Utilities/Util.h b/src/Classic/Utilities/Util.h
new file mode 100644
index 0000000000000000000000000000000000000000..63cef6b7ca9c77f766af8268cd111504b764b8f8
--- /dev/null
+++ b/src/Classic/Utilities/Util.h
@@ -0,0 +1,165 @@
+#ifndef USEFULFUNCTIONS
+#define USEFULFUNCTIONS
+
+#include "Algorithms/Vektor.h"
+#include "Algorithms/Quaternion.h"
+
+#include <string>
+#include <cstring>
+#include <sstream>
+
+#define __FILENAME__ (strrchr(__FILE__, '/') ? strrchr(__FILE__, '/') + 1 : __FILE__)
+#define __DBGMSG__ __FILENAME__ << ": " << __LINE__ << "\t"
+
+namespace Util {
+ std::string getGitRevision();
+
+ inline
+ double getGamma(Vector_t p) {
+ return sqrt(dot(p, p) + 1.0);
+ }
+
+ inline
+ double getEnergy(Vector_t p, double mass) {
+ return (getGamma(p) - 1.0) * mass;
+ }
+
+ inline
+ std::string getTimeString(double time, unsigned int precision = 3) {
+ std::string timeUnit(" [ps]");
+
+ time *= 1e12;
+ if (std::abs(time) > 1000) {
+ time /= 1000;
+ timeUnit = std::string(" [ns]");
+
+ if (std::abs(time) > 1000) {
+ time /= 1000;
+ timeUnit = std::string(" [ms]");
+ }
+ } else if (std::abs(time) < 1.0) {
+ time *= 1000;
+ timeUnit = std::string(" [fs]");
+ }
+
+ std::stringstream timeOutput;
+ timeOutput << std::fixed << std::setw(precision + 2) << std::setprecision(precision) << time << timeUnit;
+ return timeOutput.str();
+ }
+
+ inline
+ std::string getLengthString(double spos, unsigned int precision = 3) {
+ std::string sposUnit(" [m]");
+
+ if (std::abs(spos) < 1.0) {
+ spos *= 1000.0;
+ sposUnit = std::string(" [mm]");
+ }
+
+ if (std::abs(spos) < 1.0) {
+ spos *= 1000.0;
+ sposUnit = std::string(" [um]");
+ }
+
+ std::stringstream positionOutput;
+ positionOutput << std::fixed << std::setw(precision + 2) << std::setprecision(precision) << spos << sposUnit;
+ return positionOutput.str();
+ }
+
+ inline
+ std::string getLengthString(Vector_t spos, unsigned int precision = 3) {
+ std::string sposUnit(" [m]");
+ double maxPos = std::abs(spos(0));
+ for (unsigned int i = 1; i < 3u; ++ i) {
+ maxPos = std::max(maxPos, std::abs(spos(i)));
+ }
+
+ std::stringstream positionOutput;
+
+ if (maxPos < 1.0) {
+ maxPos *= 1000.0;
+ spos *= 1000.0;
+ sposUnit = std::string(" [mm]");
+ }
+
+ if (maxPos < 1.0) {
+ maxPos *= 1000.0;
+ spos *= 1000.0;
+ sposUnit = std::string(" [um]");
+ }
+
+ positionOutput << std::scientific << std::setprecision(precision)
+ << "( "
+ << std::setw(precision + 7) << spos(0) << " , "
+ << std::setw(precision + 7) << spos(1) << " , "
+ << std::setw(precision + 7) << spos(2)
+ << " )" << sposUnit;
+ return positionOutput.str();
+ }
+
+ inline
+ std::string getEnergyString(double energyInMeV, unsigned int precision = 3) {
+ std::string energyUnit(" [MeV]");
+ double energy = energyInMeV;
+
+ if (energy > 1000.0) {
+ energy /= 1000.0;
+ energyUnit = std::string(" [GeV]");
+ } else if (energy < 1.0) {
+ energy *= 1000.0;
+ energyUnit = std::string(" [keV]");
+ if (energy < 1.0) {
+ energy *= 1000.0;
+ energyUnit = std::string(" [eV]");
+ }
+ }
+
+ std::stringstream energyOutput;
+ energyOutput << std::fixed << std::setw(precision + 2) << std::setprecision(precision) << energy << energyUnit;
+
+ return energyOutput.str();
+ }
+
+ inline
+ std::string getChargeString(double charge, unsigned int precision = 3) {
+ std::string chargeUnit(" [pC]");
+
+ charge *= 1e12;
+ if (std::abs(charge) > 1000.0) {
+ charge /= 1000.0;
+ chargeUnit = std::string(" [nC]");
+ }
+
+ if (std::abs(charge) > 1000.0) {
+ charge /= 1000.0;
+ chargeUnit = std::string(" [uC]");
+ }
+
+ std::stringstream chargeOutput;
+ chargeOutput << std::fixed << std::setw(precision + 2) << std::setprecision(precision) << charge << chargeUnit;
+
+ return chargeOutput.str();
+ }
+
+ Vector_t getTaitBryantAngles(Quaternion rotation, const std::string &elementName = "");
+
+ std::string toUpper(const std::string &str);
+
+ struct KahanAccumulation
+ {
+ long double sum;
+ long double correction;
+ KahanAccumulation();
+
+ KahanAccumulation& operator+=(double value);
+ };
+
+ KahanAccumulation KahanSum(KahanAccumulation accumulation, double value);
+
+ unsigned int rewindLinesSDDS(const std::string &fileName, double maxSPos, bool checkForTime = true);
+
+ std::string base64_encode(const std::string &string_to_encode);//unsigned char const* , unsigned int len);
+ std::string base64_decode(std::string const& s);
+}
+
+#endif
\ No newline at end of file
diff --git a/src/Elements/OpalRBend3D.cpp b/src/Elements/OpalRBend3D.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..d9459a21b6179ef1aa0f741cd91ed28e51a70825
--- /dev/null
+++ b/src/Elements/OpalRBend3D.cpp
@@ -0,0 +1,155 @@
+// ------------------------------------------------------------------------
+// $RCSfile: OpalRBend3D.cpp,v $
+// ------------------------------------------------------------------------
+// $Revision: 1.2.4.1 $
+// ------------------------------------------------------------------------
+// Copyright: see Copyright.readme
+// ------------------------------------------------------------------------
+//
+// Class: OpalRBend3D
+// The parent class of all OPAL bending magnets.
+// This class factors out all special behaviour for the DOOM interface
+// and the printing in OPAL format, as well as the bend attributes.
+//
+// ------------------------------------------------------------------------
+//
+
+#include "Elements/OpalRBend3D.h"
+#include "Attributes/Attributes.h"
+#include "Structure/OpalWake.h"
+#include "Structure/SurfacePhysics.h"
+#include "AbsBeamline/RBend3D.h"
+#include "Utilities/OpalException.h"
+
+#include <iostream>
+
+
+// Class OpalRBend3D
+// ------------------------------------------------------------------------
+
+OpalRBend3D::OpalRBend3D():
+ OpalElement(SIZE, "RBEND3D", "The \"RBEND3D\" element defines an RBEND with 3D field maps"),
+ owk_m(0),
+ sphys_m(NULL) {
+ itsAttr[ANGLE] = Attributes::makeReal
+ ("ANGLE", "Upright dipole coefficient in m^(-1)");
+ itsAttr[K0] = Attributes::makeReal
+ ("K0", "Normal dipole coefficient in m^(-1)");
+ itsAttr[K0S] = Attributes::makeReal
+ ("K0S", "Skew dipole coefficient in m^(-1)");
+ itsAttr[E1] = Attributes::makeReal
+ ("E1", "Entry pole face angle in rad", 0.0);
+ itsAttr[FMAPFN] = Attributes::makeString
+ ("FMAPFN", "Filename for the fieldmap");
+ itsAttr[GAP] = Attributes::makeReal
+ ("GAP", "Full gap height of the magnet (m)", 0.0);
+ itsAttr[HAPERT] = Attributes::makeReal
+ ("HAPERT", "Bend plane magnet aperture (m)", 0.0);
+ itsAttr[DESIGNENERGY] = Attributes::makeReal
+ ("DESIGNENERGY", "the mean energy of the particles in MeV");
+
+ registerRealAttribute("ANGLE");
+ registerRealAttribute("K0L");
+ registerRealAttribute("K0SL");
+ registerRealAttribute("E1");
+ registerRealAttribute("E2");
+ registerStringAttribute("FMAPFN");
+ registerRealAttribute("GAP");
+ registerRealAttribute("HAPERT");
+ registerRealAttribute("DESIGNENERGY");
+
+ setElement((new RBend3D("RBEND3D"))->makeWrappers());
+}
+
+OpalRBend3D::OpalRBend3D(const std::string &name, OpalRBend3D *parent):
+ OpalElement(name, parent),
+ owk_m(0),
+ sphys_m(NULL)
+{
+ setElement((new RBend3D(name))->makeWrappers());
+}
+
+OpalRBend3D::~OpalRBend3D() {
+ if(owk_m)
+ delete owk_m;
+ if(sphys_m)
+ delete sphys_m;
+}
+
+OpalRBend3D *OpalRBend3D::clone(const std::string &name) {
+ return new OpalRBend3D(name, this);
+}
+
+
+void OpalRBend3D::
+fillRegisteredAttributes(const ElementBase &base, ValueFlag flag) {
+ OpalElement::fillRegisteredAttributes(base, flag);
+}
+
+void OpalRBend3D::update() {
+ OpalElement::update();
+
+ // Define geometry.
+ RBend3D *bend =
+ dynamic_cast<RBend3D *>(getElement()->removeWrappers());
+ double length = Attributes::getReal(itsAttr[LENGTH]);
+ double angle = Attributes::getReal(itsAttr[ANGLE]);
+
+ double k0 =
+ itsAttr[K0] ? Attributes::getReal(itsAttr[K0]) :
+ length ? 2 * sin(angle / 2) / length : angle;
+ double k0s = itsAttr[K0S] ? Attributes::getReal(itsAttr[K0S]) : 0.0;
+
+ // Set field amplitude or bend angle.
+ if(itsAttr[ANGLE])
+ bend->setBendAngle(Attributes::getReal(itsAttr[ANGLE]));
+ else
+ bend->setFieldAmplitude(k0, k0s);
+
+ if(itsAttr[FMAPFN])
+ bend->setFieldMapFN(Attributes::getString(itsAttr[FMAPFN]));
+ else if(bend->getName() != "RBEND3D") {
+ ERRORMSG(bend->getName() << ": No filename for a field map given." << endl);
+ throw OpalException("OpalRBend3D::update", bend->getName() + ": No filename for field map given");
+ }
+
+ bend->setEntranceAngle(Attributes::getReal(itsAttr[E1]));
+
+ // Energy in eV.
+ if(itsAttr[DESIGNENERGY]) {
+ bend->setDesignEnergy(Attributes::getReal(itsAttr[DESIGNENERGY]), false);
+ }
+
+ bend->setFullGap(Attributes::getReal(itsAttr[GAP]));
+
+ if(itsAttr[HAPERT])
+ bend->setAperture(ElementBase::RECTANGULAR, std::vector<double>(2, Attributes::getReal(itsAttr[HAPERT])));
+ else
+ bend->setAperture(ElementBase::RECTANGULAR, std::vector<double>(2, 0.0));
+
+ if(itsAttr[LENGTH]) {
+ bend->setLength(Attributes::getReal(itsAttr[LENGTH]));
+ } else
+ bend->setLength(0.0);
+
+ if(itsAttr[WAKEF] && itsAttr[DESIGNENERGY] && owk_m == NULL) {
+ owk_m = (OpalWake::find(Attributes::getString(itsAttr[WAKEF])))->clone(getOpalName() + std::string("_wake"));
+ owk_m->initWakefunction(*bend);
+ bend->setWake(owk_m->wf_m);
+ }
+
+ if(itsAttr[SURFACEPHYSICS] && sphys_m == NULL) {
+ sphys_m = (SurfacePhysics::find(Attributes::getString(itsAttr[SURFACEPHYSICS])))->clone(getOpalName() + std::string("_sphys"));
+ sphys_m->initSurfacePhysicsHandler(*bend);
+ bend->setSurfacePhysics(sphys_m->handler_m);
+ }
+
+ // Transmit "unknown" attributes.
+ OpalElement::updateUnknown(bend);
+}
+
+void OpalRBend3D::print(std::ostream &os) const {
+
+ OpalElement::print(os);
+
+}
\ No newline at end of file
diff --git a/src/Elements/OpalRBend3D.h b/src/Elements/OpalRBend3D.h
new file mode 100644
index 0000000000000000000000000000000000000000..863594e698ba1455e6b603adbd2e05a6c16c34db
--- /dev/null
+++ b/src/Elements/OpalRBend3D.h
@@ -0,0 +1,75 @@
+#ifndef OPAL_OpalRBend3D_HH
+#define OPAL_OpalRBend3D_HH
+
+// ------------------------------------------------------------------------
+// $RCSfile: OpalRBend3D.h,v $
+// ------------------------------------------------------------------------
+// $Revision: 1.3 $
+// ------------------------------------------------------------------------
+// Copyright: see Copyright.readme
+// ------------------------------------------------------------------------
+//
+// Class: OpalRBend3D
+//
+// ------------------------------------------------------------------------
+//
+// $Date: 2001/08/24 19:35:09 $
+// $Author: jsberg $
+//
+// ------------------------------------------------------------------------
+
+#include "Elements/OpalBend.h"
+
+class OpalWake;
+class SurfacePhysics;
+
+//
+// Class OpalRBend3D
+// ------------------------------------------------------------------------
+/// The RBEND element.
+
+class OpalRBend3D: public OpalElement {
+
+public:
+
+ enum {
+ ANGLE = COMMON, // The bend angle.
+ K0, K0S, // The multipole coefficients; must be in this order.
+ E1, // The edge angles.
+ FMAPFN, // File name containing on-axis field.
+ GAP, // Full gap of magnet.
+ HAPERT, // Horizontal aperture of magnet.
+ DESIGNENERGY, // the design energy of the particles
+ SIZE // Total number of attributes.
+ };
+
+ /// Exemplar constructor.
+ OpalRBend3D();
+
+ virtual ~OpalRBend3D();
+
+ /// Make clone.
+ virtual OpalRBend3D *clone(const std::string &name);
+
+ /// Fill in all registered attributes.
+ virtual void fillRegisteredAttributes(const ElementBase &, ValueFlag);
+
+ /// Update the embedded CLASSIC bend.
+ virtual void update();
+
+ virtual void print(std::ostream &) const;
+
+private:
+
+ // Not implemented.
+ OpalRBend3D(const OpalRBend3D &);
+ void operator=(const OpalRBend3D &);
+
+ // Clone constructor.
+ OpalRBend3D(const std::string &name, OpalRBend3D *parent);
+
+ OpalWake *owk_m;
+ SurfacePhysics *sphys_m;
+};
+
+#endif // OPAL_OpalRBend3D_HH
\ No newline at end of file
diff --git a/src/Elements/OpalSource.cpp b/src/Elements/OpalSource.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..d63edac74083cd078b16a6f6d8d78f545fc24a25
--- /dev/null
+++ b/src/Elements/OpalSource.cpp
@@ -0,0 +1,59 @@
+
+#include "Elements/OpalSource.h"
+#include "AbstractObjects/OpalData.h"
+#include "Attributes/Attributes.h"
+#include "BeamlineCore/SourceRep.h"
+#include "Physics/Physics.h"
+
+
+// Class OpalSource
+// ------------------------------------------------------------------------
+
+OpalSource::OpalSource():
+ OpalElement(SIZE, "SOURCE",
+ "The \"SOURCE\" element defines a Source.") {
+ itsAttr[DISTRIBUTION] = Attributes::makeStringArray
+ ("DISTRIBUTION", "List of particle distributions to be used ");
+
+ registerStringAttribute("DISTRIBUTION");
+
+ setElement((new SourceRep("SOURCE"))->makeAlignWrapper());
+}
+
+
+OpalSource::OpalSource(const std::string &name, OpalSource *parent):
+ OpalElement(name, parent) {
+ setElement((new SourceRep(name))->makeAlignWrapper());
+}
+
+
+OpalSource::~OpalSource()
+{}
+
+
+OpalSource *OpalSource::clone(const std::string &name) {
+ return new OpalSource(name, this);
+}
+
+
+void OpalSource::
+fillRegisteredAttributes(const ElementBase &base, ValueFlag flag) {
+ OpalElement::fillRegisteredAttributes(base, flag);
+}
+
+
+void OpalSource::update() {
+ OpalElement::update();
+
+ SourceRep *sol =
+ dynamic_cast<SourceRep *>(getElement()->removeWrappers());
+ double length = Attributes::getReal(itsAttr[LENGTH]);
+ std::vector<std::string> distribution = Attributes::getStringArray(itsAttr[DISTRIBUTION]);
+
+ sol->setElementLength(length);
+
+ sol->setDistribution(distribution);
+
+ // Transmit "unknown" attributes.
+ OpalElement::updateUnknown(sol);
+}
diff --git a/src/Elements/OpalSource.h b/src/Elements/OpalSource.h
new file mode 100644
index 0000000000000000000000000000000000000000..20bcd6c33895321b9be232028aab04e89fb9f294
--- /dev/null
+++ b/src/Elements/OpalSource.h
@@ -0,0 +1,45 @@
+#ifndef OPAL_OPALSOURCE_HH
+#define OPAL_OPALSOURCE_HH
+
+#include "Elements/OpalElement.h"
+
+
+// Class OpalSource
+// ------------------------------------------------------------------------
+/// The SOURCE element.
+
+class OpalSource: public OpalElement {
+
+public:
+
+ /// The attributes of class OpalSource.
+ enum {
+ DISTRIBUTION = COMMON, // The longitudinal magnetic field.
+ SIZE
+ };
+
+ /// Exemplar constructor.
+ OpalSource();
+
+ virtual ~OpalSource();
+
+ /// Make clone.
+ virtual OpalSource *clone(const std::string &name);
+
+ /// Fill in all registered attributes.
+ virtual void fillRegisteredAttributes(const ElementBase &, ValueFlag);
+
+ /// Update the embedded CLASSIC solenoid.
+ virtual void update();
+
+private:
+
+ // Not implemented.
+ OpalSource(const OpalSource &);
+ void operator=(const OpalSource &);
+
+ // Clone constructor.
+ OpalSource(const std::string &name, OpalSource *parent);
+};
+
+#endif // OPAL_OPALSOURCE_HH
diff --git a/src/Expressions/Expressions.h b/src/Expressions/Expressions.h
new file mode 100644
index 0000000000000000000000000000000000000000..47e5e17e56bed864036e4e47153880d0ed2ae1d7
--- /dev/null
+++ b/src/Expressions/Expressions.h
@@ -0,0 +1,9 @@
+#ifndef EXPRESSION_H
+#define EXPRESSION_H
+
+namespace Expressions {
+ double Tgauss(double a);
+ double gauss();
+}
+
+#endif
\ No newline at end of file
diff --git a/src/Structure/IpplInfoWrapper.cpp b/src/Structure/IpplInfoWrapper.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..b469682f1d63c43af37c6faa74e2ad9a0b2e6a18
--- /dev/null
+++ b/src/Structure/IpplInfoWrapper.cpp
@@ -0,0 +1,47 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+#include "Structure/IpplInfoWrapper.h"
+
+IpplInfoWrapper::IpplInfoWrapper(const std::string &inputFileName, MPI_Comm comm) {
+ std::string infoLevel = std::to_string(Ippl::Info->getOutputLevel());
+ std::string warnLevel = std::to_string(Ippl::Warn->getOutputLevel());
+
+ exeName_m = 0;
+ inputFileName_m = exeName_m + 5;
+ noComm_m = inputFileName_m + inputFileName.size() + 1;
+ info_m = noComm_m + 13;
+ infoLevel_m = info_m + 7;
+ warn_m = infoLevel_m + infoLevel.size() + 1;
+ warnLevel_m = warn_m + 7;
+
+ unsigned int totalSize = warnLevel_m + warnLevel.size() + 1;
+ buffer_m = new char[totalSize];
+
+ strcpy(buffer_m + exeName_m, "opal");
+ strcpy(buffer_m + inputFileName_m, inputFileName.c_str());
+ strcpy(buffer_m + noComm_m, "--nocomminit");
+ strcpy(buffer_m + info_m, "--info");
+ strcpy(buffer_m + infoLevel_m, infoLevel.c_str());
+ strcpy(buffer_m + warn_m, "--warn");
+ strcpy(buffer_m + warnLevel_m, warnLevel.c_str());
+
+ arg_m = new char*[7];
+ arg_m[0] = buffer_m + exeName_m;
+ arg_m[1] = buffer_m + inputFileName_m;
+ arg_m[2] = buffer_m + noComm_m;
+ arg_m[3] = buffer_m + info_m;
+ arg_m[4] = buffer_m + infoLevel_m;
+ arg_m[5] = buffer_m + warn_m;
+ arg_m[6] = buffer_m + warnLevel_m;
+
+ int narg = 5;
+ instance_m = new Ippl(narg, arg_m, Ippl::KEEP, comm);
+}
+
+IpplInfoWrapper::~IpplInfoWrapper() {
+ delete instance_m;
+ delete[] buffer_m;
+ delete[] arg_m;
+}
\ No newline at end of file
diff --git a/src/Structure/IpplInfoWrapper.h b/src/Structure/IpplInfoWrapper.h
new file mode 100644
index 0000000000000000000000000000000000000000..0a07509b7672eade70c23c1a284f87d87e113d58
--- /dev/null
+++ b/src/Structure/IpplInfoWrapper.h
@@ -0,0 +1,34 @@
+#ifndef IPPLINFOWRAPPER_H
+#define IPPLINFOWRAPPER_H
+
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#include "Ippl.h"
+
+class IpplInfoWrapper {
+public:
+ IpplInfoWrapper(const std::string &inputFileName, MPI_Comm comm);
+ ~IpplInfoWrapper();
+
+private:
+ unsigned int exeName_m;
+ unsigned int inputFileName_m;
+ unsigned int noComm_m;
+ unsigned int info_m;
+ unsigned int infoLevel_m;
+ unsigned int warn_m;
+ unsigned int warnLevel_m;
+
+ char *buffer_m;
+ char **arg_m;
+
+ Ippl *instance_m;
+};
+
+#endif
\ No newline at end of file
diff --git a/src/Structure/OpalInputInterpreter.cpp b/src/Structure/OpalInputInterpreter.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..4a4b7051dd5f1e93185a7e97fbda7919cc7cf1c4
--- /dev/null
+++ b/src/Structure/OpalInputInterpreter.cpp
@@ -0,0 +1,286 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+#include "Structure/OpalInputInterpreter.h"
+// #include "AbstractObjects/OpalData.h"
+// #include "OpalConfigure/Configure.h"
+// #include "OpalParser/OpalParser.h"
+// #include "Parser/FileStream.h"
+#include "Utilities/OpalException.h"
+#include "Expressions/Expressions.h"
+// #include "ValueDefinitions/StringConstant.h"
+
+#include <boost/regex.hpp>
+// #include <boost/algorithm/string/trim.hpp>
+
+#include <string>
+#include <iostream>
+#include <fstream>
+
+OpalInputInterpreter::OpalInputInterpreter(const std::string & fileName) {
+ sourceParts_m.push_back(ast::CALL);
+ sourceParts_m.push_back(fileName);
+
+ while (processCalls()) { }
+}
+
+OpalInputInterpreter::OpalInputInterpreter() { }
+
+bool OpalInputInterpreter::processCalls() {
+ bool processedCalls = false;
+ for (auto it = sourceParts_m.begin(); it != sourceParts_m.end(); ++ it) {
+ if (getCall(it)) {
+ std::string fileName = boost::get<std::string>(*it);
+ std::ifstream ifh(fileName.c_str());
+ it = sourceParts_m.erase(it); // remove fileName;
+ processedCalls = true;
+
+ parse(ifh, it);
+
+ ifh.close();
+ break;
+ }
+ }
+ return processedCalls;
+}
+
+void OpalInputInterpreter::parse(std::istream & in,
+ const OpalInputInterpreter::iterator_t &position) {
+ std::string source("");
+ std::string str;
+ const std::string commentFormat("");
+ const boost::regex cppCommentExpr("//.*");
+ const boost::regex cCommentExpr("/\\*.*?\\*/");
+
+ while (std::getline(in, str)) {
+ str = boost::regex_replace(str, cppCommentExpr, commentFormat);
+ source += str + '\n';
+
+ if (!in.good() || in.eof())
+ break;
+ }
+
+ iterator_t it = sourceParts_m.insert(position, ast::TEXT);
+ sourceParts_m.insert(position, boost::regex_replace(source, cCommentExpr, commentFormat));
+
+ parseTGauss(it, position);
+ parseGauss(it, position);
+ parseCall(it, position);
+}
+
+void OpalInputInterpreter::parseTGauss(const OpalInputInterpreter::iterator_t & begin,
+ const OpalInputInterpreter::iterator_t & end) {
+ const boost::regex tgaussExpr("TGAUSS\\s*\\(\\s*([+-]?\\s*\\d*\\.?\\d*E?[+-]?\\d*)\\s*\\)", boost::regex::icase);
+ boost::smatch what;
+ boost::match_flag_type flags = boost::match_default;
+
+ for (iterator_t it = begin; it != end; ++ it) {
+ if (ignoreCode(it)) continue;
+
+ std::string text = boost::get<std::string>(*it);
+ std::string::const_iterator start = text.begin();
+ std::string::const_iterator end = text.end();
+
+ while (boost::regex_search(start, end, what, tgaussExpr, flags)) {
+ std::string part(start, what[0].first);
+ std::string attribute_str(what[1].first, what[1].second);
+ double attribute = std::stod(attribute_str);
+
+ sourceParts_m.insert(it, part);
+ sourceParts_m.insert(it, ast::TGAUSS);
+ sourceParts_m.insert(it, attribute);
+ sourceParts_m.insert(it, ast::TEXT);
+
+ start = what[0].second;
+ }
+
+ std::string rest(start, end);
+ *it = rest;
+ }
+}
+
+void OpalInputInterpreter::parseGauss(const OpalInputInterpreter::iterator_t & begin,
+ const OpalInputInterpreter::iterator_t & end) {
+ const boost::regex gaussExpr("GAUSS\\s*\\(\\s*\\)", boost::regex::icase);
+ boost::smatch what;
+ boost::match_flag_type flags = boost::match_default;
+
+ for (iterator_t it = begin; it != end; ++ it) {
+ if (ignoreCode(it)) continue;
+
+ std::string text = boost::get<std::string>(*it);
+ std::string::const_iterator start = text.begin();
+ std::string::const_iterator end = text.end();
+
+ while (boost::regex_search(start, end, what, gaussExpr, flags)) {
+ std::string part(start, what[0].first);
+
+ sourceParts_m.insert(it, part);
+ sourceParts_m.insert(it, ast::GAUSS);
+ sourceParts_m.insert(it, ast::TEXT);
+
+ start = what[0].second;
+ }
+
+ std::string rest(start, end);
+ *it = rest;
+ }
+}
+
+void OpalInputInterpreter::parseCall(const OpalInputInterpreter::iterator_t & begin,
+ const OpalInputInterpreter::iterator_t & end) {
+ const boost::regex callExpr("CALL\\s*,\\s*FILE\\s*=\\s*\"([a-zA-Z0-9_\\-/\\.]*)\"\\s*;", boost::regex::icase);
+ boost::smatch what;
+ boost::match_flag_type flags = boost::match_default;
+
+ for (iterator_t it = begin; it != end; ++ it) {
+ if (ignoreCode(it)) continue;
+
+ std::string text = boost::get<std::string>(*it);
+ std::string::const_iterator start = text.begin();
+ std::string::const_iterator end = text.end();
+
+ while (boost::regex_search(start, end, what, callExpr, flags)) {
+ std::string part(start, what[0].first);
+ std::string filename(what[1].first, what[1].second);
+
+ sourceParts_m.insert(it, part);
+ sourceParts_m.insert(it, ast::CALL);
+ sourceParts_m.insert(it, filename);
+ sourceParts_m.insert(it, ast::TEXT);
+
+ start = what[0].second;
+ }
+
+ std::string rest(start, end);
+ *it = rest;
+ }
+
+}
+
+bool OpalInputInterpreter::getCall(OpalInputInterpreter::iterator_t & it) {
+ switch (boost::get<int>(*it)) {
+ case ast::TEXT:
+ case ast::TGAUSS:
+ ++ it;
+ break;
+ case ast::GAUSS:
+ break;
+ case ast::CALL:
+ it = sourceParts_m.erase(it); // remove ast::CALL
+ return true;
+ default:
+ throw OpalException("OpalInputInterpreter::getCall(iterator_t &)",
+ "ast code not working properly");
+ }
+
+ return false;
+}
+
+bool OpalInputInterpreter::ignoreCode(OpalInputInterpreter::iterator_t & it) const {
+ switch (boost::get<int>(*it)) {
+ case ast::TEXT:
+ ++ it;
+ break;
+ case ast::TGAUSS:
+ case ast::CALL:
+ ++ it;
+ return true;
+ case ast::GAUSS:
+ return true;
+ default:
+ throw OpalException("OpalInputInterpreter::ingoreCode()",
+ "ast code not working properly");
+ }
+
+ return false;
+}
+
+std::string OpalInputInterpreter::processAST() const {
+ std::string source("");
+
+ for (auto it = sourceParts_m.begin(); it != sourceParts_m.end(); ++ it) {
+ switch (boost::get<int>(*it)) {
+ case ast::TEXT:
+ ++ it;
+ source += boost::get<std::string>(*it);
+ break;
+ case ast::TGAUSS:
+ ++ it;
+ source += ("(" + std::to_string(Expressions::Tgauss(boost::get<double>(*it))) + ")");
+ break;
+ case ast::GAUSS:
+ source += ("(" + std::to_string(Expressions::gauss()) + ")");
+ break;
+ default:
+ throw OpalException("OpalInputInterpreter::processAST()",
+ "ast code not working properly");
+ }
+ }
+
+ return source;
+}
+
+std::string OpalInputInterpreter::processASTReference() const {
+ std::string source("");
+
+ for (auto it = sourceParts_m.begin(); it != sourceParts_m.end(); ++ it) {
+ switch (boost::get<int>(*it)) {
+ case ast::TEXT:
+ ++ it;
+ source += boost::get<std::string>(*it);
+ break;
+ case ast::TGAUSS:
+ ++ it;
+ source += "0.0";
+ break;
+ case ast::GAUSS:
+ source += "0.0";
+ break;
+ default:
+ throw OpalException("OpalInputInterpreter::processAST()",
+ "ast code not working properly");
+ }
+ }
+
+ return source;
+}
+
+void OpalInputInterpreter::replaceString(const std::string &search,
+ std::string replace) {
+ const boost::regex expr(search, boost::regex::icase);
+ boost::smatch what;
+ boost::match_flag_type flags = boost::match_default;
+
+ for (iterator_t it = sourceParts_m.begin(); it != sourceParts_m.end(); ++ it) {
+ if (ignoreCode(it)) continue;
+
+ std::string text = boost::get<std::string>(*it);
+ std::string::const_iterator start = text.begin();
+ std::string::const_iterator end = text.end();
+
+ while (boost::regex_search(start, end, what, expr, flags)) {
+ std::string part(start, what[0].first);
+
+ for (unsigned int i = 1; i < what.size(); ++ i) {
+ const std::string whatstr(what[i].first, what[i].second);
+ const std::string matchReplace = "$1" + whatstr + "$2";
+ const std::string matchString = "^(.*?)\\$\\{" + std::to_string(i) + "\\}(.*?)$";
+ const boost::regex matchRe(matchString);
+
+ replace = boost::regex_replace(replace, matchRe, matchReplace);
+ }
+
+ sourceParts_m.insert(it, part);
+ sourceParts_m.insert(it, ast::TEXT);
+ sourceParts_m.insert(it, replace);
+ sourceParts_m.insert(it, ast::TEXT);
+
+ start = what[0].second;
+ }
+
+ std::string rest(start, end);
+ *it = rest;
+ }
+}
diff --git a/src/Structure/OpalInputInterpreter.h b/src/Structure/OpalInputInterpreter.h
new file mode 100644
index 0000000000000000000000000000000000000000..7e63e4d46aef13a36ffe7658bcccc5c897cef71d
--- /dev/null
+++ b/src/Structure/OpalInputInterpreter.h
@@ -0,0 +1,54 @@
+#ifndef OPAL_INPUTINTERPRETER_H
+#define OPAL_INPUTINTERPRETER_H
+
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+// #include "Algorithms/Tracker.h"
+// #include "Algorithms/ParallelTTracker.h"
+
+#include <boost/variant.hpp>
+#include <iostream>
+#include <list>
+
+namespace ast {
+ enum splitType { TEXT
+ , GAUSS
+ , CALL
+ , TGAUSS
+ };
+
+ typedef boost::variant<int,
+ double,
+ std::string> variant_t;
+}
+
+struct OpalInputInterpreter {
+ typedef std::list<ast::variant_t>::iterator iterator_t;
+
+ OpalInputInterpreter(const std::string & fileName);
+ OpalInputInterpreter();
+
+ void parse(std::istream & in, const iterator_t &position);
+ void parseTGauss(const iterator_t & begin, const iterator_t & end);
+ void parseGauss(const iterator_t & begin, const iterator_t & end);
+ void parseCall(const iterator_t & begin, const iterator_t & end);
+ bool processCalls();
+ bool getCall(iterator_t & it);
+ bool ignoreCode(iterator_t & it) const;
+
+ std::string processAST() const;
+ std::string processASTReference() const;
+
+ void replaceString(const std::string & search,
+ std::string replace);
+
+ std::list<ast::variant_t> sourceParts_m;
+};
+
+#endif // OPAL_STATISTICALERRORS_H
\ No newline at end of file
diff --git a/src/Structure/SDDSParser.h b/src/Structure/SDDSParser.h
new file mode 100644
index 0000000000000000000000000000000000000000..bab1b60825b5598847872f075e8c9cf2a1e67158
--- /dev/null
+++ b/src/Structure/SDDSParser.h
@@ -0,0 +1,17 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+#include "Structure/SDDSParser/file.hpp"
+#include "Structure/SDDSParser/skipper.hpp"
+#include "Structure/SDDSParser/array.hpp"
+#include "Structure/SDDSParser/associate.hpp"
+#include "Structure/SDDSParser/column.hpp"
+#include "Structure/SDDSParser/data.hpp"
+#include "Structure/SDDSParser/description.hpp"
+#include "Structure/SDDSParser/include.hpp"
+#include "Structure/SDDSParser/parameter.hpp"
+
+#include <iostream>
+#include <fstream>
+#include <string>
\ No newline at end of file
diff --git a/src/Structure/SDDSParser/array.cpp b/src/Structure/SDDSParser/array.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..782114951967ae24544073ea70b4a1994ca82b48
--- /dev/null
+++ b/src/Structure/SDDSParser/array.cpp
@@ -0,0 +1,9 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+
+#include "array_def.hpp"
+
+typedef std::string::const_iterator iterator_t;
+template struct SDDS::parser::array_parser<iterator_t>;
\ No newline at end of file
diff --git a/src/Structure/SDDSParser/array.hpp b/src/Structure/SDDSParser/array.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..0d61f9767d421faf24be1178174a40f72f261c49
--- /dev/null
+++ b/src/Structure/SDDSParser/array.hpp
@@ -0,0 +1,117 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef ARRAY_HPP_
+#define ARRAY_HPP_
+
+#include "ast.hpp"
+#include "skipper.hpp"
+#include "error_handler.hpp"
+
+#include <boost/config/warning_disable.hpp>
+#include <boost/spirit/include/qi.hpp>
+#include <boost/fusion/include/adapt_struct.hpp>
+
+#include <list>
+
+#define BOOST_SPIRIT_NO_PREDEFINED_TERMINALS
+#define BOOST_SPIRIT_QI_DEBUG
+
+namespace SDDS {
+ struct array
+ {
+ enum attributes { NAME
+ , SYMBOL
+ , UNITS
+ , DESCRIPTION
+ , FORMAT_STRING
+ , GROUP_NAME
+ , TYPE
+ , FIELD_LENGTH
+ , DIMENSIONS
+ , ARRAY
+ };
+
+ template <attributes A>
+ struct complainUnsupported
+ {
+ static bool apply()
+ {
+ std::string attributeString;
+ switch(A)
+ {
+ case NAME:
+ attributeString = "name";
+ break;
+ case SYMBOL:
+ attributeString = "symbol";
+ break;
+ case UNITS:
+ attributeString = "units";
+ break;
+ case DESCRIPTION:
+ attributeString = "description";
+ break;
+ case FORMAT_STRING:
+ attributeString = "format_string";
+ break;
+ case GROUP_NAME:
+ attributeString = "group_name";
+ break;
+ case TYPE:
+ attributeString = "type";
+ break;
+ case FIELD_LENGTH:
+ attributeString = "field_length";
+ break;
+ case DIMENSIONS:
+ attributeString = "dimensions";
+ break;
+ case ARRAY:
+ attributeString = "array";
+ break;
+ default:
+ return true;
+ }
+ std::cerr << attributeString << " not supported yet" << std::endl;
+ return false;
+ }
+ };
+ };
+
+ struct arrayList: std::list<array> {};
+
+ inline std::ostream& operator<<(std::ostream& out, const array& ) {
+ return out;
+ }
+}
+
+namespace SDDS { namespace parser
+{
+ namespace qi = boost::spirit::qi;
+ namespace ascii = boost::spirit::ascii;
+ namespace phx = boost::phoenix;
+
+ template <typename Iterator>
+ struct array_parser: qi::grammar<Iterator, array(), skipper<Iterator> >
+ {
+ array_parser(error_handler<Iterator> & _error_handler);
+
+ qi::rule<Iterator, array(), skipper<Iterator> > start;
+ qi::rule<Iterator, std::string(), skipper<Iterator> > array_name,
+ array_symbol, array_units, array_description, array_format,
+ array_group, units, string, quoted_string;
+ qi::rule<Iterator, long(), skipper<Iterator> > array_field,
+ array_dimensions;
+ qi::rule<Iterator, ast::datatype, skipper<Iterator> > array_type;
+ qi::rule<Iterator, ast::nil(), skipper<Iterator> > array_unsupported_pre,
+ array_unsupported_post;
+ qi::symbols<char, ast::datatype> arraytype;
+ };
+}}
+#endif /* ARRAY_HPP_ */
diff --git a/src/Structure/SDDSParser/array_def.hpp b/src/Structure/SDDSParser/array_def.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..45f6f05ced2ab5c6069ac07b92d77bbe7215c501
--- /dev/null
+++ b/src/Structure/SDDSParser/array_def.hpp
@@ -0,0 +1,116 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef ARRAY_DEF_HPP_
+#define ARRAY_DEF_HPP_
+
+#include "array.hpp"
+
+#include <boost/spirit/include/phoenix_core.hpp>
+#include <boost/spirit/include/phoenix_operator.hpp>
+#include <boost/spirit/include/phoenix_fusion.hpp>
+#include <boost/spirit/include/phoenix_bind.hpp>
+
+namespace SDDS { namespace parser
+{
+ template <typename Iterator>
+ array_parser<Iterator>::array_parser(error_handler<Iterator> & _error_handler):
+ array_parser::base_type(start)
+ {
+ using qi::on_error;
+ using qi::fail;
+ using phx::function;
+ typedef function<error_handler<Iterator> > error_handler_function;
+
+ // qi::_1_type _1;
+ qi::_3_type _3;
+ qi::_4_type _4;
+ qi::lexeme_type lexeme;
+ qi::char_type char_;
+ qi::lit_type lit;
+ qi::long_type long_;
+ qi::short_type short_;
+ qi::alpha_type alpha;
+ qi::alnum_type alnum;
+ // qi::_val_type _val;
+ qi::_pass_type _pass;
+ qi::eps_type eps;
+
+ quoted_string %= lexeme['"' >> +(char_ - '"') >> '"'];
+ string %= quoted_string
+ | lexeme[(alpha | char_("@:#+-%._$&/")) >> *(alnum | char_("@:#+-%._$&/"))];
+ units %= lexeme[alpha >> *(alpha | '/')]
+ | lit('1');
+
+ arraytype.add
+ ("float", ast::FLOAT)
+ ("double", ast::DOUBLE)
+ ("short", ast::SHORT)
+ ("long", ast::LONG)
+ ("character", ast::CHARACTER)
+ ("string", ast::STRING)
+ ;
+
+ array_name = lit("mode") > '=' > string;
+ array_symbol = lit("symbol") > '=' > string;
+ array_units = lit("units") > '=' > units;
+ array_description = lit("description") > '=' > string;
+ array_format = lit("format_string") > '=' > string;
+ array_group = lit("group_name") > '=' > string;
+ array_type = lit("type") > '=' > arraytype;
+ array_field = lit("field_length") > '=' > long_;
+ array_dimensions = lit("dimensions") > '=' > long_;
+
+ auto complainArray = phx::bind(&array::complainUnsupported<array::ARRAY>::apply);
+ auto complainName = phx::bind(&array::complainUnsupported<array::NAME>::apply);
+ auto complainSymbol= phx::bind(&array::complainUnsupported<array::SYMBOL>::apply);
+ auto complainUnits = phx::bind(&array::complainUnsupported<array::UNITS>::apply);
+ auto complainDescription = phx::bind(&array::complainUnsupported<array::DESCRIPTION>::apply);
+ auto complainFormat= phx::bind(&array::complainUnsupported<array::FORMAT_STRING>::apply);
+ auto complainGroup = phx::bind(&array::complainUnsupported<array::GROUP_NAME>::apply);
+ auto complainType = phx::bind(&array::complainUnsupported<array::TYPE>::apply);
+ auto complainField = phx::bind(&array::complainUnsupported<array::FIELD_LENGTH>::apply);
+ auto complainDimensions = phx::bind(&array::complainUnsupported<array::DIMENSIONS>::apply);
+
+ array_unsupported_pre =
+ ((',' > array_name[_pass = complainName])
+ ^ (',' > array_symbol[_pass = complainSymbol])
+ ^ (',' > array_units[_pass = complainUnits])
+ ^ (',' > array_description[_pass = complainDescription])
+ ^ (',' > array_format[_pass = complainFormat])
+ ^ (',' > array_group[_pass = complainGroup])
+ ^ (',' > array_type[_pass = complainType])
+ ^ (',' > array_field[_pass = complainField])
+ ^ (',' > array_dimensions[_pass = complainDimensions])
+ );
+ array_unsupported_post =
+ ((array_name[_pass = complainName] > ',')
+ ^ (array_symbol[_pass = complainSymbol] > ',')
+ ^ (array_units[_pass = complainUnits] > ',')
+ ^ (array_description[_pass = complainDescription] > ',')
+ ^ (array_format[_pass = complainFormat] > ',')
+ ^ (array_group[_pass = complainGroup] > ',')
+ ^ (array_type[_pass = complainType] > ',')
+ ^ (array_field[_pass = complainField] > ',')
+ ^ (array_dimensions[_pass = complainDimensions] > ',')
+ );
+
+ start =
+ lit("&array")[_pass = complainArray]
+ > lit("&end");
+
+ BOOST_SPIRIT_DEBUG_NODES(
+ (start)
+ )
+
+ on_error<fail>(start,
+ error_handler_function(_error_handler)(
+ "Error! Expecting ", _4, _3));
+ }
+}}
+#endif /* ARRAY_DEF_HPP_ */
\ No newline at end of file
diff --git a/src/Structure/SDDSParser/associate.cpp b/src/Structure/SDDSParser/associate.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..9cf0fcc7dc3e7a7459c1b9db2da798e76664f442
--- /dev/null
+++ b/src/Structure/SDDSParser/associate.cpp
@@ -0,0 +1,8 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+#include "associate_def.hpp"
+
+typedef std::string::const_iterator iterator_t;
+template struct SDDS::parser::associate_parser<iterator_t>;
diff --git a/src/Structure/SDDSParser/associate.hpp b/src/Structure/SDDSParser/associate.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..9d79ece79488504b821dbc24fd3b088c4fe95af8
--- /dev/null
+++ b/src/Structure/SDDSParser/associate.hpp
@@ -0,0 +1,106 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef ASSOCIATE_HPP_
+#define ASSOCIATE_HPP_
+
+#include "ast.hpp"
+#include "skipper.hpp"
+#include "error_handler.hpp"
+
+#include <boost/config/warning_disable.hpp>
+#include <boost/spirit/include/qi.hpp>
+#include <boost/spirit/include/phoenix_core.hpp>
+#include <boost/spirit/include/phoenix_operator.hpp>
+#include <boost/spirit/include/phoenix_fusion.hpp>
+#include <boost/spirit/include/phoenix_bind.hpp>
+#include <boost/fusion/include/adapt_struct.hpp>
+
+#include <list>
+
+#define BOOST_SPIRIT_NO_PREDEFINED_TERMINALS
+#define BOOST_SPIRIT_QI_DEBUG
+
+namespace SDDS {
+ struct associate
+ {
+ enum attributes { NAME
+ , FILENAME
+ , PATH
+ , DESCRIPTION
+ , CONTENTS
+ , SDDS
+ , ASSOCIATE
+ };
+
+ template <attributes A>
+ struct complainUnsupported
+ {
+ static bool apply()
+ {
+ std::string attributeString;
+ switch(A)
+ {
+ case NAME:
+ attributeString = "name";
+ break;
+ case FILENAME:
+ attributeString = "filename";
+ break;
+ case PATH:
+ attributeString = "path";
+ break;
+ case DESCRIPTION:
+ attributeString = "description";
+ break;
+ case CONTENTS:
+ attributeString = "contents";
+ break;
+ case SDDS:
+ attributeString = "sdds";
+ break;
+ case ASSOCIATE:
+ attributeString = "associate";
+ break;
+ default:
+ return true;
+ }
+ std::cerr << attributeString << " not supported yet" << std::endl;
+ return false;
+ }
+ };
+ };
+
+ struct associateList: std::list<associate> {};
+
+ inline std::ostream& operator<<(std::ostream& out, const associate& ) {
+ return out;
+ }
+}
+
+namespace SDDS { namespace parser
+{
+ namespace qi = boost::spirit::qi;
+ namespace ascii = boost::spirit::ascii;
+ namespace phx = boost::phoenix;
+
+ template <typename Iterator>
+ struct associate_parser: qi::grammar<Iterator, associate(), skipper<Iterator> >
+ {
+ associate_parser(error_handler<Iterator> & _error_handler);
+
+ qi::rule<Iterator, associate(), skipper<Iterator> > start;
+ qi::rule<Iterator, std::string(), skipper<Iterator> > string, quoted_string,
+ associate_name, associate_filename, associate_path, associate_description,
+ associate_contents;
+ qi::rule<Iterator, long(), skipper<Iterator> > associate_sdds;
+ qi::rule<Iterator, ast::nil(), skipper<Iterator> > associate_unsupported_pre,
+ associate_unsupported_post;
+ };
+}}
+#endif /* ASSOCIATE_HPP_ */
diff --git a/src/Structure/SDDSParser/associate_def.hpp b/src/Structure/SDDSParser/associate_def.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..9e091348d83fcd5a28e409f2be88c0464ce7fc27
--- /dev/null
+++ b/src/Structure/SDDSParser/associate_def.hpp
@@ -0,0 +1,91 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef ASSOCIATE_DEF_HPP_
+#define ASSOCIATE_DEF_HPP_
+
+#include "associate.hpp"
+
+#include <boost/spirit/include/phoenix_core.hpp>
+#include <boost/spirit/include/phoenix_operator.hpp>
+#include <boost/spirit/include/phoenix_fusion.hpp>
+#include <boost/spirit/include/phoenix_bind.hpp>
+
+namespace SDDS { namespace parser
+{
+ template <typename Iterator>
+ associate_parser<Iterator>::associate_parser(error_handler<Iterator> & _error_handler):
+ associate_parser::base_type(start)
+ {
+ using qi::on_error;
+ using qi::fail;
+ using phx::function;
+ typedef function<error_handler<Iterator> > error_handler_function;
+
+ // qi::_1_type _1;
+ qi::_3_type _3;
+ qi::_4_type _4;
+ qi::lexeme_type lexeme;
+ qi::char_type char_;
+ qi::lit_type lit;
+ qi::long_type long_;
+ qi::short_type short_;
+ qi::alpha_type alpha;
+ qi::alnum_type alnum;
+ // qi::_val_type _val;
+ qi::_pass_type _pass;
+ qi::eps_type eps;
+
+ quoted_string %= lexeme['"' >> +(char_ - '"') >> '"'];
+ string %= quoted_string
+ | lexeme[(alpha | '_') >> *(alnum | '_')];
+
+ associate_name = lit("mode") > '=' > string;
+ associate_filename = lit("filename") > '=' > string;
+ associate_path = lit("path") > '=' > string;
+ associate_description = lit("description") > '=' > string;
+ associate_contents= lit("contents") > '=' > string;
+ associate_sdds= lit("column_major_order") > '=' > long_;
+
+ auto complainAssociate = phx::bind(&associate::complainUnsupported<associate::ASSOCIATE>::apply);
+ auto complainName = phx::bind(&associate::complainUnsupported<associate::NAME>::apply);
+ auto complainFilename = phx::bind(&associate::complainUnsupported<associate::FILENAME>::apply);
+ auto complainPath = phx::bind(&associate::complainUnsupported<associate::PATH>::apply);
+ auto complainDescription = phx::bind(&associate::complainUnsupported<associate::DESCRIPTION>::apply);
+ auto complainContents = phx::bind(&associate::complainUnsupported<associate::CONTENTS>::apply);
+ auto complainSDDS = phx::bind(&associate::complainUnsupported<associate::SDDS>::apply);
+
+ associate_unsupported_pre =
+ ((',' > associate_name[_pass = complainName])
+ ^ (',' > associate_filename[_pass = complainFilename])
+ ^ (',' > associate_path[_pass = complainPath])
+ ^ (',' > associate_description[_pass = complainDescription])
+ ^ (',' > associate_contents[_pass = complainContents])
+ ^ (',' > associate_sdds[_pass = complainSDDS]));
+ associate_unsupported_post =
+ ((associate_name[_pass = complainName] > ',')
+ ^ (associate_filename[_pass = complainFilename] > ',')
+ ^ (associate_path[_pass = complainPath] > ',')
+ ^ (associate_description[_pass = complainDescription] > ',')
+ ^ (associate_contents[_pass = complainContents] > ',')
+ ^ (associate_sdds[_pass = complainSDDS] > ','));
+
+ start =
+ lit("&associate")[_pass = complainAssociate]
+ > lit("&end");
+
+ BOOST_SPIRIT_DEBUG_NODES(
+ (start)
+ )
+
+ on_error<fail>(start,
+ error_handler_function(_error_handler)(
+ "Error! Expecting ", _4, _3));
+ }
+}}
+#endif /* ASSOCIATE_HPP_ */
\ No newline at end of file
diff --git a/src/Structure/SDDSParser/ast.cpp b/src/Structure/SDDSParser/ast.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..d1e4a515c9321fed0882ed935aaf1a82b5b2ebf7
--- /dev/null
+++ b/src/Structure/SDDSParser/ast.cpp
@@ -0,0 +1,11 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+#include "ast_def.hpp"
+#include "skipper.hpp"
+
+typedef std::string::const_iterator iterator_t;
+typedef SDDS::parser::skipper<iterator_t> skipper_t;
+template struct SDDS::parser::string<iterator_t, skipper_t>;
+template struct SDDS::parser::qstring<iterator_t, skipper_t>;
diff --git a/src/Structure/SDDSParser/ast.hpp b/src/Structure/SDDSParser/ast.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..2807b195f9b56240e83396a6cfae9869c1964ffa
--- /dev/null
+++ b/src/Structure/SDDSParser/ast.hpp
@@ -0,0 +1,83 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef AST_HPP_
+#define AST_HPP_
+
+#include <boost/variant.hpp>
+#include <boost/spirit/include/qi.hpp>
+
+#include <string>
+
+namespace SDDS {
+ namespace ast {
+ enum datatype { FLOAT
+ , DOUBLE
+ , SHORT
+ , LONG
+ , CHARACTER
+ , STRING };
+
+ enum datamode { ASCII
+ , BINARY};
+
+ enum endianess { BIGENDIAN
+ , LITTLEENDIAN};
+
+ struct nil {};
+
+ typedef boost::variant<float,
+ double,
+ short,
+ long,
+ char,
+ std::string> variant_t;
+ inline
+ std::string getDataTypeString(datatype type) {
+ switch(type) {
+ case FLOAT:
+ return "float";
+ case DOUBLE:
+ return "double";
+ case SHORT:
+ return "short";
+ case LONG:
+ return "long";
+ case CHARACTER:
+ return "char";
+ case STRING:
+ return "string";
+ default:
+ return "unknown";
+ }
+ }
+
+ }
+
+ namespace parser {
+ namespace qi = boost::spirit::qi;
+
+ template <typename Iterator, typename Skipper>
+ struct string: qi::grammar<Iterator, std::string(), Skipper >
+ {
+ string();
+
+ boost::spirit::qi::rule<Iterator, std::string(), Skipper> start;
+ };
+
+ template <typename Iterator, typename Skipper>
+ struct qstring: qi::grammar<Iterator, std::string(), Skipper >
+ {
+ qstring();
+
+ boost::spirit::qi::rule<Iterator, std::string(), Skipper> start;
+ };
+}
+}
+
+#endif // AST_HPP_
\ No newline at end of file
diff --git a/src/Structure/SDDSParser/ast_def.hpp b/src/Structure/SDDSParser/ast_def.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..abe755ed9cabc09285bcb7d916391a222cdf2b01
--- /dev/null
+++ b/src/Structure/SDDSParser/ast_def.hpp
@@ -0,0 +1,42 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef AST_DEF_HPP_
+#define AST_DEF_HPP_
+
+#include "ast.hpp"
+
+namespace SDDS { namespace parser
+{
+
+ template <typename Iterator, typename Skipper>
+ string<Iterator, Skipper>::string():
+ string::base_type(start)
+ {
+ qi::char_type char_;
+ qi::eol_type eol;
+ qi::lexeme_type lexeme;
+
+ start %= lexeme[+(char_-eol)];
+ }
+
+
+ template <typename Iterator, typename Skipper>
+ qstring<Iterator, Skipper>::qstring():
+ qstring::base_type(start)
+ {
+ qi::char_type char_;
+ qi::eol_type eol;
+ qi::lexeme_type lexeme;
+
+ start %= lexeme['"' >> +(char_ - (eol|'"')) >> '"']
+ | lexeme[+(char_ - (eol|' '))];
+ }
+}}
+
+#endif // AST_DEF_HPP_
diff --git a/src/Structure/SDDSParser/column.cpp b/src/Structure/SDDSParser/column.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..b4ec46edb5cfe608945e4f05af12efb7a44549f3
--- /dev/null
+++ b/src/Structure/SDDSParser/column.cpp
@@ -0,0 +1,10 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+#include "column_def.hpp"
+
+unsigned int SDDS::column::count_m = 0;
+
+typedef std::string::const_iterator iterator_t;
+template struct SDDS::parser::column_parser<iterator_t>;
diff --git a/src/Structure/SDDSParser/column.hpp b/src/Structure/SDDSParser/column.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..c05f4d76fba156ec0f51ec4e9da67ac992b3f0bf
--- /dev/null
+++ b/src/Structure/SDDSParser/column.hpp
@@ -0,0 +1,207 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef COLUMN_HPP_
+#define COLUMN_HPP_
+
+#include "ast.hpp"
+#include "skipper.hpp"
+#include "error_handler.hpp"
+
+#include <boost/config/warning_disable.hpp>
+#include <boost/spirit/include/qi.hpp>
+#include <boost/fusion/include/adapt_struct.hpp>
+#include <boost/optional.hpp>
+
+#include <list>
+
+#define BOOST_SPIRIT_NO_PREDEFINED_TERMINALS
+#define BOOST_SPIRIT_QI_DEBUG
+
+namespace SDDS {
+ struct column
+ {
+ enum attributes { NAME
+ , SYMBOL
+ , UNITS
+ , DESCRIPTION
+ , FORMAT_STRING
+ , TYPE
+ , FIELD_LENGTH
+ };
+
+ unsigned int order_m;
+ boost::optional<std::string> name_m;
+ boost::optional<std::string> units_m;
+ boost::optional<std::string> description_m;
+ boost::optional<ast::datatype> type_m;
+ std::list<ast::variant_t> values_m;
+ static unsigned int count_m;
+
+ bool checkMandatories() const
+ {
+ return name_m && type_m;
+ }
+
+ template <attributes A>
+ struct complainUnsupported
+ {
+ static bool apply()
+ {
+ std::string attributeString;
+ switch(A)
+ {
+ case SYMBOL:
+ attributeString = "symbol";
+ break;
+ case FORMAT_STRING:
+ attributeString = "format_string";
+ break;
+ case FIELD_LENGTH:
+ attributeString = "field_length";
+ break;
+ default:
+ return true;
+ }
+ std::cerr << attributeString << " not supported yet" << std::endl;
+ return false;
+ }
+ };
+
+ template <typename Iterator, typename Skipper>
+ bool parse(
+ Iterator& first
+ , Iterator last
+ , Skipper const& skipper)
+ {
+ switch(*this->type_m) {
+ case ast::FLOAT:
+ {
+ float f = 0.0;
+ boost::spirit::qi::float_type float_;
+ if (phrase_parse(first, last, float_, skipper, f)) {
+ this->values_m.push_back(f);
+ return true;
+ }
+ break;
+ }
+ case ast::DOUBLE:
+ {
+ double d = 0.0;
+ boost::spirit::qi::double_type double_;
+ if (phrase_parse(first, last, double_, skipper, d)) {
+ this->values_m.push_back(d);
+ return true;
+ }
+ break;
+ }
+ case ast::SHORT:
+ {
+ short s = 0;
+ boost::spirit::qi::short_type short_;
+ if (phrase_parse(first, last, short_, skipper, s)) {
+ this->values_m.push_back(s);
+ return true;
+ }
+ break;
+ }
+ case ast::LONG:
+ {
+ long l = 0;
+ boost::spirit::qi::long_type long_;
+ if (phrase_parse(first, last, long_, skipper, l)) {
+ this->values_m.push_back(l);
+ return true;
+ }
+ break;
+ }
+ case ast::CHARACTER:
+ {
+ char c = '\0';
+ boost::spirit::qi::char_type char_;
+ if (phrase_parse(first, last, char_, skipper, c)) {
+ this->values_m.push_back(c);
+ return true;
+ }
+ break;
+ }
+ case ast::STRING:
+ {
+ std::string s("");
+ parser::qstring<Iterator, Skipper> qstring;
+ if (phrase_parse(first, last, qstring, skipper, s)) {
+ this->values_m.push_back(s);
+ return true;
+ }
+ break;
+ }
+ }
+ return false;
+ }
+ };
+
+ struct columnList: std::list<column> {};
+
+ template <typename Iterator>
+ struct columnOrder
+ {
+ template <typename, typename>
+ struct result { typedef void type; };
+
+ void operator()(column& col, Iterator) const
+ {
+ col.order_m = column::count_m ++;
+ }
+ };
+
+ inline std::ostream& operator<<(std::ostream& out, const column& col) {
+ if (col.name_m) out << "name = " << *col.name_m << ", ";
+ if (col.type_m) out << "type = " << *col.type_m << ", ";
+ if (col.units_m) out << "units = " << *col.units_m << ", ";
+ if (col.description_m) out << "description = " << *col.description_m << ", ";
+ out << "order = " << col.order_m;
+
+ return out;
+ }
+}
+
+BOOST_FUSION_ADAPT_STRUCT(
+ SDDS::column,
+ (boost::optional<std::string>, name_m)
+ (boost::optional<SDDS::ast::datatype>, type_m)
+ (boost::optional<std::string>, units_m)
+ (boost::optional<std::string>, description_m)
+ (SDDS::ast::variant_t, value_m)
+)
+
+namespace SDDS { namespace parser
+{
+ namespace qi = boost::spirit::qi;
+ namespace ascii = boost::spirit::ascii;
+ namespace phx = boost::phoenix;
+
+ ///////////////////////////////////////////////////////////////////////////////
+ // The expression grammar
+ ///////////////////////////////////////////////////////////////////////////////
+ template <typename Iterator>
+ struct column_parser: qi::grammar<Iterator, column(), skipper<Iterator> >
+ {
+ column_parser(error_handler<Iterator> & _error_handler);
+
+ qi::rule<Iterator, std::string(), skipper<Iterator> > string, quoted_string, units;
+ qi::rule<Iterator, std::string(), skipper<Iterator> > column_name, column_units,
+ column_description, column_symbol, column_format;
+ qi::rule<Iterator, ast::datatype(), skipper<Iterator> > column_type;
+ qi::rule<Iterator, column(), skipper<Iterator> > start;
+ qi::rule<Iterator, long(), skipper<Iterator> > column_field;
+ qi::rule<Iterator, ast::nil(), skipper<Iterator> > column_unsupported_pre,
+ column_unsupported_post;
+ qi::symbols<char, ast::datatype> datatype;
+ };
+}}
+#endif /* COLUMN_HPP_ */
diff --git a/src/Structure/SDDSParser/column_def.hpp b/src/Structure/SDDSParser/column_def.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..a6c39ceea079db3133d5c6f3e0b5d683bad1a9a5
--- /dev/null
+++ b/src/Structure/SDDSParser/column_def.hpp
@@ -0,0 +1,126 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef COLUMN_DEF_HPP_
+#define COLUMN_DEF_HPP_
+
+#include "column.hpp"
+
+#include <boost/spirit/include/phoenix_core.hpp>
+#include <boost/spirit/include/phoenix_operator.hpp>
+#include <boost/spirit/include/phoenix_fusion.hpp>
+#include <boost/spirit/include/phoenix_object.hpp>
+#include <boost/spirit/include/phoenix_bind.hpp>
+
+namespace SDDS { namespace parser
+{
+ template <typename Iterator>
+ column_parser<Iterator>::column_parser(error_handler<Iterator> & _error_handler):
+ column_parser::base_type(start)
+ {
+ using qi::on_error;
+ using qi::on_success;
+ using qi::fail;
+ using phx::function;
+ typedef function<columnOrder<Iterator> > order_function_t;
+ typedef function<error_handler<Iterator> > error_handler_function;
+
+ // qi::_0_type _0;
+ qi::_1_type _1;
+ qi::_3_type _3;
+ qi::_4_type _4;
+ qi::lexeme_type lexeme;
+ qi::char_type char_;
+ qi::long_type long_;
+ qi::lit_type lit;
+ qi::alpha_type alpha;
+ qi::alnum_type alnum;
+ qi::_val_type _val;
+ qi::_pass_type _pass;
+ qi::eps_type eps;
+
+ quoted_string %= lexeme['"' >> +(char_ - '"') >> '"'];
+ string %= quoted_string
+ | lexeme[(alpha | char_("@:#+-%._$&/")) >> *(alnum | char_("@:#+-%._$&/"))];
+ units %= char_('1') | lexeme[alpha >> *(alpha | char_('/'))];
+
+ datatype.add
+ ("float", ast::FLOAT)
+ ("double", ast::DOUBLE)
+ ("short", ast::SHORT)
+ ("long", ast::LONG)
+ ("character", ast::CHARACTER)
+ ("string", ast::STRING)
+ ;
+
+ column_name = lit("name") > '=' > string;
+ column_units %= lit("units") > '=' > units;
+ column_description %= lit("description") > '=' > string;
+ column_type %= lit("type") > '=' > datatype;
+ column_symbol = lit("symbol") > '=' > string;
+ column_format = lit("format_string") > '=' > string;
+ column_field = lit("field_length") > '=' > long_;
+
+ auto complainSymbol = phx::bind(&column::complainUnsupported<column::SYMBOL>::apply);
+ auto complainFormat = phx::bind(&column::complainUnsupported<column::FORMAT_STRING>::apply);
+ auto complainField = phx::bind(&column::complainUnsupported<column::FIELD_LENGTH>::apply);
+
+ column_unsupported_pre =
+ ((',' > column_symbol[_pass = complainSymbol])
+ ^ (',' > column_format[_pass = complainFormat])
+ ^ (',' > column_field[_pass = complainField])
+ );
+ column_unsupported_post =
+ ((column_symbol[_pass = complainSymbol] > ',')
+ ^ (column_format[_pass = complainFormat] > ',')
+ ^ (column_field[_pass = complainField] > ',')
+ );
+
+ start =
+ lit("&column")
+ > -column_unsupported_post
+ >> ((column_name[phx::at_c<0>(_val) = _1]
+ >> ((',' >> column_type[phx::at_c<1>(_val) = _1])
+ ^(',' >> column_units[phx::at_c<2>(_val) = _1])
+ ^(',' >> column_description[phx::at_c<3>(_val) = _1])
+ ))
+ |(column_type[phx::at_c<1>(_val) = _1]
+ >> ((',' >> column_name[phx::at_c<0>(_val) = _1])
+ ^(',' >> column_units[phx::at_c<2>(_val) = _1])
+ ^(',' >> column_description[phx::at_c<3>(_val) = _1])
+ ))
+ |(column_units[phx::at_c<2>(_val) = _1]
+ >> ((',' >> column_type[phx::at_c<1>(_val) = _1])
+ ^(',' >> column_name[phx::at_c<0>(_val) = _1])
+ ^(',' >> column_description[phx::at_c<3>(_val) = _1])
+ ))
+ |(column_description[phx::at_c<3>(_val) = _1]
+ >> ((',' >> column_type[phx::at_c<1>(_val) = _1])
+ ^(',' >> column_units[phx::at_c<2>(_val) = _1])
+ ^(',' >> column_name[phx::at_c<0>(_val) = _1])
+ ))
+ )
+ > -column_unsupported_pre
+ > lit("&end")
+ >> eps[_pass = phx::bind(&column::checkMandatories, _val)];
+
+ BOOST_SPIRIT_DEBUG_NODES(
+ (start)
+ )
+
+ on_error<fail>(start,
+ error_handler_function(_error_handler)(
+ "Error! Expecting ", _4, _3));
+ ///////////////////////////////////////////////////////////////////////
+ // Annotation: on success in primary_expr, call annotation.
+ on_success(start,
+ order_function_t()(_val,_1));
+
+ }
+}}
+#endif /* COLUMN_DEF_HPP_ */
\ No newline at end of file
diff --git a/src/Structure/SDDSParser/data.cpp b/src/Structure/SDDSParser/data.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..3c69bd377609937358acf55f480add8682e32ff5
--- /dev/null
+++ b/src/Structure/SDDSParser/data.cpp
@@ -0,0 +1,9 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+#include "data.hpp"
+#include "data_def.hpp"
+
+typedef std::string::const_iterator iterator_t;
+template struct SDDS::parser::data_parser<iterator_t>;
diff --git a/src/Structure/SDDSParser/data.hpp b/src/Structure/SDDSParser/data.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..3d22510f23ae3e0cd9debf04d4b3054df8078513
--- /dev/null
+++ b/src/Structure/SDDSParser/data.hpp
@@ -0,0 +1,117 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef DATA_HPP_
+#define DATA_HPP_
+
+#include "ast.hpp"
+#include "skipper.hpp"
+#include "error_handler.hpp"
+
+#include <boost/config/warning_disable.hpp>
+#include <boost/spirit/include/qi.hpp>
+#include <boost/fusion/include/adapt_struct.hpp>
+
+#define BOOST_SPIRIT_NO_PREDEFINED_TERMINALS
+#define BOOST_SPIRIT_QI_DEBUG
+
+namespace SDDS {
+ struct data
+ {
+ enum attributes { MODE
+ , LINES_PER_ROW
+ , NO_ROW_COUNT
+ , FIXED_ROW_COUNT
+ , ADDITIONAL_HEADER_LINES
+ , COLUMN_MAJOR_ORDER
+ , ENDIAN
+ };
+
+ ast::datamode mode_m;
+ long numberRows_m;
+
+ bool isASCII() const
+ {
+ if (mode_m == ast::BINARY) {
+ std::cerr << "can't handle binary data yet" << std::endl;
+ return false;
+ }
+ return true;
+ }
+
+ template <attributes A>
+ struct complainUnsupported
+ {
+ static bool apply()
+ {
+ std::string attributeString;
+ switch(A)
+ {
+ case LINES_PER_ROW:
+ attributeString = "lines_per_row";
+ break;
+ case NO_ROW_COUNT:
+ attributeString = "no_row_count";
+ break;
+ case FIXED_ROW_COUNT:
+ attributeString = "fixed_row_count";
+ break;
+ case ADDITIONAL_HEADER_LINES:
+ attributeString = "additional_header_lines";
+ break;
+ case COLUMN_MAJOR_ORDER:
+ attributeString = "column_major_order";
+ break;
+ case ENDIAN:
+ attributeString = "endian";
+ break;
+ default:
+ return true;
+ }
+ std::cerr << attributeString << " not supported yet" << std::endl;
+ return false;
+ }
+ };
+ };
+
+ inline std::ostream& operator<<(std::ostream& out, const data& data_) {
+ out << "mode = " << data_.mode_m;
+ return out;
+ }
+}
+
+BOOST_FUSION_ADAPT_STRUCT(
+ SDDS::data,
+ (SDDS::ast::datamode, mode_m)
+ (long, numberRows_m)
+)
+
+namespace SDDS { namespace parser
+{
+ namespace qi = boost::spirit::qi;
+ namespace ascii = boost::spirit::ascii;
+ namespace phx = boost::phoenix;
+
+ template <typename Iterator>
+ struct data_parser: qi::grammar<Iterator, data(), skipper<Iterator> >
+ {
+ data_parser(error_handler<Iterator> & _error_handler);
+
+ qi::rule<Iterator, data(), skipper<Iterator> > start;
+ qi::rule<Iterator, ast::datamode(), skipper<Iterator> > data_mode;
+ qi::rule<Iterator, long(), skipper<Iterator> > data_lines,
+ data_row, data_fixed, data_additional;
+ qi::rule<Iterator, short(), skipper<Iterator> > data_column;
+ qi::rule<Iterator, ast::endianess(), skipper<Iterator> > data_endian;
+ qi::rule<Iterator, ast::nil(), skipper<Iterator> > data_unsupported_pre,
+ data_unsupported_post;
+ qi::symbols<char, ast::endianess> dataendian;
+ qi::symbols<char, ast::datamode> datamode;
+ };
+}}
+#endif /* DATA_HPP_ */
diff --git a/src/Structure/SDDSParser/data_def.hpp b/src/Structure/SDDSParser/data_def.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..df108571c99501d80948b70b2cfd63a9e39c1940
--- /dev/null
+++ b/src/Structure/SDDSParser/data_def.hpp
@@ -0,0 +1,94 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef DATA_DEF_HPP_
+#define DATA_DEF_HPP_
+
+#include "data.hpp"
+
+#include <boost/spirit/include/phoenix_core.hpp>
+#include <boost/spirit/include/phoenix_operator.hpp>
+#include <boost/spirit/include/phoenix_fusion.hpp>
+#include <boost/spirit/include/phoenix_bind.hpp>
+
+namespace SDDS { namespace parser
+{
+ template <typename Iterator>
+ data_parser<Iterator>::data_parser(error_handler<Iterator> & _error_handler):
+ data_parser::base_type(start)
+ {
+ using qi::on_error;
+ using qi::fail;
+ using phx::function;
+ typedef function<error_handler<Iterator> > error_handler_function;
+
+ qi::_1_type _1;
+ qi::_3_type _3;
+ qi::_4_type _4;
+ qi::lit_type lit;
+ qi::long_type long_;
+ qi::short_type short_;
+ qi::_val_type _val;
+ qi::_pass_type _pass;
+ qi::eps_type eps;
+
+ datamode.add
+ ("ascii", ast::ASCII)
+ ("binary", ast::BINARY)
+ ;
+ dataendian.add
+ ("big", ast::BIGENDIAN)
+ ("little", ast::LITTLEENDIAN)
+ ;
+
+ data_mode = lit("mode") > '=' > datamode;
+ data_lines = lit("lines_per_row") > '=' > long_;
+ data_row = lit("no_row_counts") > '=' > long_;
+ data_fixed = lit("fixed_row_count") > '=' > long_;
+ data_additional = lit("additional_header_lines") > '=' > long_;
+ data_column = lit("column_major_order") > '=' > short_;
+ data_endian = lit("endian") > '=' > dataendian;
+
+ auto complainLines = phx::bind(&data::complainUnsupported<data::LINES_PER_ROW>::apply);
+ auto complainFixed = phx::bind(&data::complainUnsupported<data::FIXED_ROW_COUNT>::apply);
+ auto complainAdditional = phx::bind(&data::complainUnsupported<data::ADDITIONAL_HEADER_LINES>::apply);
+ auto complainColumn = phx::bind(&data::complainUnsupported<data::COLUMN_MAJOR_ORDER>::apply);
+ auto complainEndian = phx::bind(&data::complainUnsupported<data::ENDIAN>::apply);
+
+ data_unsupported_pre =
+ ((',' > data_lines[_pass = complainLines])
+ ^ (',' > data_fixed[_pass = complainFixed])
+ ^ (',' > data_additional[_pass = complainAdditional])
+ ^ (',' > data_column[_pass = complainColumn])
+ ^ (',' > data_endian[_pass = complainEndian]));
+ data_unsupported_post =
+ ((data_lines[_pass = complainLines] > ',')
+ ^ (data_fixed[_pass = complainFixed] > ',')
+ ^ (data_additional[_pass = complainAdditional] > ',')
+ ^ (data_column[_pass = complainColumn] > ',')
+ ^ (data_endian[_pass = complainEndian] > ','));
+
+ start =
+ lit("&data")
+ > -data_unsupported_post
+ > ((data_mode[phx::at_c<0>(_val) = _1] >> ',' >> data_row[phx::at_c<1>(_val) = _1])
+ | (data_row[phx::at_c<1>(_val) = _1] >> ',' >> data_mode[phx::at_c<0>(_val) = _1]))
+ > -data_unsupported_pre
+ > lit("&end")
+ >> eps[_pass = phx::bind(&data::isASCII, _val)];
+
+ BOOST_SPIRIT_DEBUG_NODES(
+ (start)
+ )
+
+ on_error<fail>(start,
+ error_handler_function(_error_handler)(
+ "Error! Expecting ", _4, _3));
+ }
+}}
+#endif /* DATA_DEF_HPP_ */
diff --git a/src/Structure/SDDSParser/description.cpp b/src/Structure/SDDSParser/description.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..cb13b55522b20f0a1dbb5f75fb780cbd62557a44
--- /dev/null
+++ b/src/Structure/SDDSParser/description.cpp
@@ -0,0 +1,8 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+#include "description_def.hpp"
+
+typedef std::string::const_iterator iterator_t;
+template struct SDDS::parser::description_parser<iterator_t>;
diff --git a/src/Structure/SDDSParser/description.hpp b/src/Structure/SDDSParser/description.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..59f5e5e97aa2313703fb0555bd170753aae68f57
--- /dev/null
+++ b/src/Structure/SDDSParser/description.hpp
@@ -0,0 +1,61 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef DESCRIPTION_HPP_
+#define DESCRIPTION_HPP_
+
+#include "ast.hpp"
+#include "skipper.hpp"
+#include "error_handler.hpp"
+
+#include <boost/config/warning_disable.hpp>
+#include <boost/spirit/include/qi.hpp>
+#include <boost/fusion/include/adapt_struct.hpp>
+#include <boost/optional.hpp>
+
+#define BOOST_SPIRIT_NO_PREDEFINED_TERMINALS
+#define BOOST_SPIRIT_QI_DEBUG
+
+namespace SDDS {
+ struct description
+ {
+ boost::optional<std::string> text_m;
+ boost::optional<std::string> content_m;
+
+ };
+
+ inline std::ostream& operator<<(std::ostream& out, const description& desc) {
+ if (desc.text_m) out << "text = " << *desc.text_m << ", ";
+ if (desc.content_m) out << "content = " << *desc.content_m;
+ return out;
+ }
+}
+
+BOOST_FUSION_ADAPT_STRUCT(
+ SDDS::description,
+ (boost::optional<std::string>, text_m)
+ (boost::optional<std::string>, content_m)
+)
+
+namespace SDDS { namespace parser
+{
+ namespace qi = boost::spirit::qi;
+ namespace ascii = boost::spirit::ascii;
+ namespace phx = boost::phoenix;
+
+ template <typename Iterator>
+ struct description_parser: qi::grammar<Iterator, description(), skipper<Iterator> >
+ {
+ description_parser(error_handler<Iterator> & _error_handler);
+
+ qi::rule<Iterator, description(), skipper<Iterator> > start;
+ qi::rule<Iterator, std::string(), skipper<Iterator> > quoted_string,
+ description_text, description_content;
+ };
+}}
+#endif /* DESCRIPTION_HPP_ */
diff --git a/src/Structure/SDDSParser/description_def.hpp b/src/Structure/SDDSParser/description_def.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..904eb7aba504687e9763239a089c674a949e5dc4
--- /dev/null
+++ b/src/Structure/SDDSParser/description_def.hpp
@@ -0,0 +1,59 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef DESCRIPTION_DEF_HPP_
+#define DESCRIPTION_DEF_HPP_
+
+#include "description.hpp"
+
+#include <boost/spirit/include/phoenix_core.hpp>
+#include <boost/spirit/include/phoenix_operator.hpp>
+#include <boost/spirit/include/phoenix_fusion.hpp>
+#include <boost/spirit/include/phoenix_bind.hpp>
+
+namespace SDDS { namespace parser
+{
+ template <typename Iterator>
+ description_parser<Iterator>::description_parser(error_handler<Iterator> & _error_handler):
+ description_parser::base_type(start)
+ {
+ using qi::on_error;
+ using qi::fail;
+ using phx::function;
+ typedef function<error_handler<Iterator> > error_handler_function;
+
+ qi::_1_type _1;
+ qi::_3_type _3;
+ qi::_4_type _4;
+ qi::lexeme_type lexeme;
+ qi::lit_type lit;
+ qi::char_type char_;
+ qi::_val_type _val;
+
+ quoted_string %= lexeme['"' >> +(char_ - '"') >> '"'];
+ description_text = lit("text") > '=' > quoted_string;
+ description_content = lit("contents") > '=' > quoted_string;
+
+ start =
+ lit("&description")
+ > ((description_text[phx::at_c<0>(_val) = _1]
+ > -(',' > description_content[phx::at_c<1>(_val) = _1]))
+ |(description_content[phx::at_c<1>(_val) = _1]
+ > -(',' > description_text[phx::at_c<0>(_val) = _1])))
+ > lit("&end");
+
+ BOOST_SPIRIT_DEBUG_NODES(
+ (start)
+ )
+
+ on_error<fail>(start,
+ error_handler_function(_error_handler)(
+ "Error! Expecting ", _4, _3));
+ }
+}}
+#endif /* DESCRIPTION_DEF_HPP_ */
diff --git a/src/Structure/SDDSParser/error_handler.hpp b/src/Structure/SDDSParser/error_handler.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..f0871eb556ce238437ceaacbd718e1250d6e1387
--- /dev/null
+++ b/src/Structure/SDDSParser/error_handler.hpp
@@ -0,0 +1,95 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef ERROR_HANDLER_HPP_
+#define ERROR_HANDLER_HPP_
+
+#include <iostream>
+#include <string>
+#include <vector>
+
+namespace SDDS
+{
+ ///////////////////////////////////////////////////////////////////////////////
+ // The error handler
+ ///////////////////////////////////////////////////////////////////////////////
+ template <typename Iterator>
+ struct error_handler
+ {
+ template <typename, typename, typename>
+ struct result { typedef void type; };
+
+ error_handler(Iterator first, Iterator last)
+ : first(first), last(last) {}
+
+ template <typename Message, typename What>
+ void operator()(
+ Message const& message,
+ What const& what,
+ Iterator err_pos) const
+ {
+ int line;
+ Iterator line_start = get_pos(err_pos, line);
+ if (err_pos != last)
+ {
+ std::cout << message << what << " line " << line << ':' << std::endl;
+ std::cout << get_line(line_start) << std::endl;
+ for (; line_start != err_pos; ++line_start)
+ std::cout << ' ';
+ std::cout << '^' << std::endl;
+ }
+ else
+ {
+ std::cout << "Unexpected end of file. ";
+ std::cout << message << what << " line " << line << std::endl;
+ }
+ }
+
+ Iterator get_pos(Iterator err_pos, int& line) const
+ {
+ line = 1;
+ Iterator i = first;
+ Iterator line_start = first;
+ while (i != err_pos)
+ {
+ bool eol = false;
+ if (i != err_pos && *i == '\r') // CR
+ {
+ eol = true;
+ line_start = ++i;
+ }
+ if (i != err_pos && *i == '\n') // LF
+ {
+ eol = true;
+ line_start = ++i;
+ }
+ if (eol)
+ ++line;
+ else
+ ++i;
+ }
+ return line_start;
+ }
+
+ std::string get_line(Iterator err_pos) const
+ {
+ Iterator i = err_pos;
+ // position i to the next EOL
+ while (i != last && (*i != '\r' && *i != '\n'))
+ ++i;
+ return std::string(err_pos, i);
+ }
+
+ Iterator first;
+ Iterator last;
+ std::vector<Iterator> iters;
+ };
+}
+
+#endif
+
diff --git a/src/Structure/SDDSParser/file.cpp b/src/Structure/SDDSParser/file.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..323dd988e1d934023b8f951588349b48c3639310
--- /dev/null
+++ b/src/Structure/SDDSParser/file.cpp
@@ -0,0 +1,8 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+#include "file_def.hpp"
+
+typedef std::string::const_iterator iterator_t;
+template struct SDDS::parser::file_parser<iterator_t>;
diff --git a/src/Structure/SDDSParser/file.hpp b/src/Structure/SDDSParser/file.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..b23f68078dd7c75d52ded53af8453fbd64ffe3da
--- /dev/null
+++ b/src/Structure/SDDSParser/file.hpp
@@ -0,0 +1,101 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef FILE_HPP_
+#define FILE_HPP_
+
+#include "ast.hpp"
+#include "skipper.hpp"
+#include "error_handler.hpp"
+#include "version.hpp"
+#include "description.hpp"
+#include "parameter.hpp"
+#include "column.hpp"
+#include "data.hpp"
+#include "associate.hpp"
+#include "array.hpp"
+#include "include.hpp"
+
+#include <boost/config/warning_disable.hpp>
+#include <boost/spirit/include/qi.hpp>
+#include <boost/fusion/include/adapt_struct.hpp>
+#include <boost/optional.hpp>
+
+#define BOOST_SPIRIT_NO_PREDEFINED_TERMINALS
+#define BOOST_SPIRIT_QI_DEBUG
+
+namespace SDDS {
+ struct file
+ {
+ version sddsVersion_m; // 0
+ boost::optional<description> sddsDescription_m; // 1
+ parameterList sddsParameters_m; // 2
+ columnList sddsColumns_m; // 3
+ data sddsData_m; // 4
+ associateList sddsAssociates_m; // 5
+ arrayList sddsArrays_m; // 6
+ includeList sddsIncludes_m; // 7
+
+ };
+
+ inline std::ostream& operator<<(std::ostream& out, const file& fh) {
+ out << fh.sddsVersion_m << "\n";
+ if (fh.sddsDescription_m) out << *fh.sddsDescription_m << "\n";
+ for (const parameter& param: fh.sddsParameters_m) {
+ out << param << "\n";
+ }
+ for (const column& col: fh.sddsColumns_m) {
+ out << col << "\n";
+ }
+ out << fh.sddsData_m << "\n";
+
+// if (fh.sddsAssociates_m) out << *fh.sddsAssociates_m << "\n";
+// if (fh.sddsArrays_m) out << *fh.sddsArrays_m << "\n";
+// if (fh.sddsIncludes_m) out << *fh.sddsIncludes_m << "\n";
+
+ out << std::endl;
+
+ return out;
+ }
+}
+
+BOOST_FUSION_ADAPT_STRUCT(
+ SDDS::file,
+ (SDDS::version, sddsVersion_m)
+ (boost::optional<SDDS::description>, sddsDescription_m)
+ (SDDS::parameterList, sddsParameters_m)
+ (SDDS::columnList, sddsColumns_m)
+ (SDDS::data, sddsData_m)
+ (SDDS::associateList, sddsAssociates_m)
+ (SDDS::arrayList, sddsArrays_m)
+ (SDDS::includeList, sddsIncludes_m)
+)
+
+namespace SDDS { namespace parser
+{
+ namespace qi = boost::spirit::qi;
+ namespace ascii = boost::spirit::ascii;
+ namespace phx = boost::phoenix;
+
+ template <typename Iterator>
+ struct file_parser: qi::grammar<Iterator, file(), skipper<Iterator> >
+ {
+ file_parser(error_handler<Iterator> & _error_handler);
+
+ version_parser<Iterator> version_m;
+ description_parser<Iterator> description_m;
+ parameter_parser<Iterator> parameter_m;
+ column_parser<Iterator> column_m;
+ data_parser<Iterator> data_m;
+ associate_parser<Iterator> associate_m;
+ array_parser<Iterator> array_m;
+ include_parser<Iterator> include_m;
+ qi::rule<Iterator, file(), skipper<Iterator> > start;
+ };
+}}
+#endif /* FILE_HPP_ */
diff --git a/src/Structure/SDDSParser/file_def.hpp b/src/Structure/SDDSParser/file_def.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..17e81fded54384e42f3c773679ff289a29810502
--- /dev/null
+++ b/src/Structure/SDDSParser/file_def.hpp
@@ -0,0 +1,75 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef FILE_DEF_HPP_
+#define FILE_DEF_HPP_
+
+#include "file.hpp"
+
+#include <boost/spirit/include/phoenix_core.hpp>
+#include <boost/spirit/include/phoenix_operator.hpp>
+#include <boost/spirit/include/phoenix_fusion.hpp>
+#include <boost/spirit/include/phoenix_stl.hpp>
+#include <boost/spirit/include/phoenix_object.hpp>
+#include <boost/spirit/include/phoenix_bind.hpp>
+
+namespace SDDS { namespace parser
+{
+ template <typename Iterator>
+ file_parser<Iterator>::file_parser(error_handler<Iterator> & _error_handler):
+ file_parser::base_type(start),
+ version_m(_error_handler),
+ description_m(_error_handler),
+ parameter_m(_error_handler),
+ column_m(_error_handler),
+ data_m(_error_handler),
+ associate_m(_error_handler),
+ array_m(_error_handler),
+ include_m(_error_handler)
+ {
+ using qi::on_error;
+ using qi::on_success;
+ using qi::fail;
+ using phx::function;
+ typedef function<error_handler<Iterator> > error_handler_function;
+
+ qi::_1_type _1;
+ qi::_3_type _3;
+ qi::_4_type _4;
+ qi::_val_type _val;
+ qi::skip_type skip;
+
+ auto push_backParameter = phx::push_back(phx::at_c<2>(_val), _1);
+ auto push_backColumn = phx::push_back(phx::at_c<3>(_val), _1);
+ auto push_backAssociate = phx::push_back(phx::at_c<5>(_val), _1);
+ auto push_backArray = phx::push_back(phx::at_c<6>(_val), _1);
+ auto push_backInclude = phx::push_back(phx::at_c<7>(_val), _1);
+
+ start =
+ version_m[phx::at_c<0>(_val) = _1]
+ > -description_m[phx::at_c<1>(_val) = _1]
+ > *(parameter_m[push_backParameter]
+ | column_m[push_backColumn]
+ | associate_m[push_backAssociate]
+ | array_m[push_backArray]
+ | include_m[push_backInclude]
+ )
+ > data_m[phx::at_c<4>(_val) = _1]
+ ;
+
+ BOOST_SPIRIT_DEBUG_NODES(
+ (start)
+ )
+
+ on_error<fail>(start,
+ error_handler_function(_error_handler)(
+ "Error! Expecting ", _4, _3));
+
+ }
+}}
+#endif /* FILE_DEF_HPP_ */
diff --git a/src/Structure/SDDSParser/include.cpp b/src/Structure/SDDSParser/include.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..a6c84c49d0315315f2fd0ec26dcdfeb6acb08d22
--- /dev/null
+++ b/src/Structure/SDDSParser/include.cpp
@@ -0,0 +1,8 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+#include "include_def.hpp"
+
+typedef std::string::const_iterator iterator_t;
+template struct SDDS::parser::include_parser<iterator_t>;
diff --git a/src/Structure/SDDSParser/include.hpp b/src/Structure/SDDSParser/include.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..dec789e429550b3867a1bf95e85ca2741ca8533a
--- /dev/null
+++ b/src/Structure/SDDSParser/include.hpp
@@ -0,0 +1,82 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef INCLUDE_HPP_
+#define INCLUDE_HPP_
+
+#include "ast.hpp"
+#include "skipper.hpp"
+#include "error_handler.hpp"
+
+#include <boost/config/warning_disable.hpp>
+#include <boost/spirit/include/qi.hpp>
+#include <boost/spirit/include/phoenix_core.hpp>
+#include <boost/spirit/include/phoenix_operator.hpp>
+#include <boost/spirit/include/phoenix_fusion.hpp>
+#include <boost/spirit/include/phoenix_bind.hpp>
+#include <boost/fusion/include/adapt_struct.hpp>
+
+#include <list>
+
+#define BOOST_SPIRIT_NO_PREDEFINED_TERMINALS
+#define BOOST_SPIRIT_QI_DEBUG
+
+namespace SDDS {
+ struct include
+ {
+ enum attributes { FILENAME
+ , INCLUDE
+ };
+
+ template <attributes A>
+ struct complainUnsupported
+ {
+ static bool apply()
+ {
+ std::string attributeString;
+ switch(A)
+ {
+ case FILENAME:
+ attributeString = "filename";
+ break;
+ case INCLUDE:
+ attributeString = "include";
+ break;
+ default:
+ return true;
+ }
+ std::cerr << attributeString << " not supported yet" << std::endl;
+ return false;
+ }
+ };
+ };
+
+ struct includeList: std::list<include> {};
+
+ inline std::ostream& operator<<(std::ostream& out, const include& ) {
+ return out;
+ }
+}
+
+namespace SDDS { namespace parser
+{
+ namespace qi = boost::spirit::qi;
+ namespace ascii = boost::spirit::ascii;
+ namespace phx = boost::phoenix;
+
+ template <typename Iterator>
+ struct include_parser: qi::grammar<Iterator, include(), skipper<Iterator> >
+ {
+ include_parser(error_handler<Iterator> & _error_handler);
+
+ qi::rule<Iterator, include(), skipper<Iterator> > start;
+ qi::rule<Iterator, std::string(), skipper<Iterator> > string, quoted_string,
+ include_filename;
+ };
+}}
+#endif /* INCLUDE_HPP_ */
diff --git a/src/Structure/SDDSParser/include_def.hpp b/src/Structure/SDDSParser/include_def.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..85d7e43e1a5eed3baeb00c021b535a6b8c65d899
--- /dev/null
+++ b/src/Structure/SDDSParser/include_def.hpp
@@ -0,0 +1,60 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef INCLUDE_DEF_HPP_
+#define INCLUDE_DEF_HPP_
+
+#include "include.hpp"
+
+#include <boost/spirit/include/phoenix_core.hpp>
+#include <boost/spirit/include/phoenix_operator.hpp>
+#include <boost/spirit/include/phoenix_fusion.hpp>
+#include <boost/spirit/include/phoenix_bind.hpp>
+
+namespace SDDS { namespace parser
+{
+ template <typename Iterator>
+ include_parser<Iterator>::include_parser(error_handler<Iterator> & _error_handler):
+ include_parser::base_type(start)
+ {
+ using qi::on_error;
+ using qi::fail;
+ using phx::function;
+ typedef function<error_handler<Iterator> > error_handler_function;
+
+ qi::_3_type _3;
+ qi::_4_type _4;
+ qi::lexeme_type lexeme;
+ qi::char_type char_;
+ qi::lit_type lit;
+ qi::alpha_type alpha;
+ qi::alnum_type alnum;
+ qi::_pass_type _pass;
+
+ quoted_string %= lexeme['"' >> +(char_ - '"') >> '"'];
+ string %= quoted_string
+ | lexeme[(alpha | '_') >> *(alnum | '_')];
+
+ include_filename = lit("filename") > '=' > string;
+
+ auto complainInclude = phx::bind(&include::complainUnsupported<include::INCLUDE>::apply);
+
+ start =
+ lit("&include")[_pass = complainInclude]
+ > lit("&end");
+
+ BOOST_SPIRIT_DEBUG_NODES(
+ (start)
+ )
+
+ on_error<fail>(start,
+ error_handler_function(_error_handler)(
+ "Error! Expecting ", _4, _3));
+ }
+}}
+#endif /* INCLUDE_DEF_HPP_ */
diff --git a/src/Structure/SDDSParser/parameter.cpp b/src/Structure/SDDSParser/parameter.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..8bb963d861b037ada4b337d350655565c80bd4a4
--- /dev/null
+++ b/src/Structure/SDDSParser/parameter.cpp
@@ -0,0 +1,10 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+#include "parameter_def.hpp"
+
+unsigned int SDDS::parameter::count_m = 0;
+
+typedef std::string::const_iterator iterator_t;
+template struct SDDS::parser::parameter_parser<iterator_t>;
diff --git a/src/Structure/SDDSParser/parameter.hpp b/src/Structure/SDDSParser/parameter.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..6bccbf783ff49bb96ba9a102c8112f4f7a2582a9
--- /dev/null
+++ b/src/Structure/SDDSParser/parameter.hpp
@@ -0,0 +1,174 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef PARAMETER_HPP_
+#define PARAMETER_HPP_
+
+#include "ast.hpp"
+#include "skipper.hpp"
+#include "error_handler.hpp"
+
+#include <boost/config/warning_disable.hpp>
+#include <boost/spirit/include/qi.hpp>
+#include <boost/fusion/include/adapt_struct.hpp>
+#include <boost/optional.hpp>
+
+#include <list>
+
+#define BOOST_SPIRIT_NO_PREDEFINED_TERMINALS
+#define BOOST_SPIRIT_QI_DEBUG
+
+namespace SDDS {
+ struct parameter
+ {
+ enum attributes { NAME
+ , SYMBOL
+ , UNITS
+ , DESCRIPTION
+ , FORMAT_STRING
+ , TYPE
+ , FIXED_VALUE
+ };
+
+ unsigned int order_m;
+ boost::optional<std::string> name_m;
+ boost::optional<std::string> units_m;
+ boost::optional<std::string> description_m;
+ boost::optional<ast::datatype> type_m;
+ ast::variant_t value_m;
+ static unsigned int count_m;
+
+ bool checkMandatories() const
+ {
+ return name_m && type_m;
+ }
+
+ template <attributes A>
+ struct complainUnsupported
+ {
+ static bool apply()
+ {
+ std::string attributeString;
+ switch(A)
+ {
+ case SYMBOL:
+ attributeString = "symbol";
+ break;
+ case FORMAT_STRING:
+ attributeString = "format_string";
+ break;
+ case FIXED_VALUE:
+ attributeString = "fixed_value";
+ break;
+ default:
+ return true;
+ }
+ std::cerr << attributeString << " not supported yet" << std::endl;
+ return false;
+ }
+ };
+
+ template <typename Iterator, typename Skipper>
+ bool parse(
+ Iterator& first
+ , Iterator last
+ , Skipper const& skipper)
+ {
+ switch(*this->type_m) {
+ case ast::FLOAT:
+ {
+ boost::spirit::qi::float_type float_;
+ return phrase_parse(first, last, float_, skipper, this->value_m);
+ }
+ case ast::DOUBLE:
+ {
+ boost::spirit::qi::double_type double_;
+ return phrase_parse(first, last, double_, skipper, this->value_m);
+ }
+ case ast::SHORT:
+ {
+ boost::spirit::qi::short_type short_;
+ return phrase_parse(first, last, short_, skipper, this->value_m);
+ }
+ case ast::LONG:
+ {
+ boost::spirit::qi::long_type long_;
+ return phrase_parse(first, last, long_, skipper, this->value_m);
+ }
+ case ast::CHARACTER:
+ {
+ boost::spirit::qi::char_type char_;
+ return phrase_parse(first, last, char_, skipper, this->value_m);
+ }
+ case ast::STRING:
+ {
+ parser::string<Iterator, Skipper> string;
+ return phrase_parse(first, last, string, skipper, this->value_m);
+ }
+ }
+ return false;
+ }
+ };
+
+ struct parameterList : std::list<parameter> {};
+
+ template <typename Iterator>
+ struct parameterOrder
+ {
+ template <typename, typename>
+ struct result { typedef void type; };
+
+ void operator()(parameter& param, Iterator) const
+ {
+ param.order_m = parameter::count_m ++;
+ }
+ };
+
+ inline std::ostream& operator<<(std::ostream& out, const parameter& param) {
+ if (param.name_m) out << "name = " << *param.name_m << ", ";
+ if (param.type_m) out << "type = " << *param.type_m << ", ";
+ if (param.units_m) out << "units = " << *param.units_m << ", ";
+ if (param.description_m) out << "description = " << *param.description_m << ", ";
+ out << "order = " << param.order_m;
+
+ return out;
+ }
+}
+
+BOOST_FUSION_ADAPT_STRUCT(
+ SDDS::parameter,
+ (boost::optional<std::string>, name_m)
+ (boost::optional<SDDS::ast::datatype>, type_m)
+ (boost::optional<std::string>, units_m)
+ (boost::optional<std::string>, description_m)
+ (SDDS::ast::variant_t, value_m)
+)
+
+namespace SDDS { namespace parser
+{
+ namespace qi = boost::spirit::qi;
+ namespace ascii = boost::spirit::ascii;
+ namespace phx = boost::phoenix;
+
+ template <typename Iterator>
+ struct parameter_parser: qi::grammar<Iterator, parameter(), skipper<Iterator> >
+ {
+ parameter_parser(error_handler<Iterator> & _error_handler);
+
+ qi::rule<Iterator, std::string(), skipper<Iterator> > string, quoted_string, units;
+ qi::rule<Iterator, std::string(), skipper<Iterator> > parameter_name, parameter_units,
+ parameter_description, parameter_symbol, parameter_format;
+ qi::rule<Iterator, ast::datatype(), skipper<Iterator> > parameter_type;
+ qi::rule<Iterator, long(), skipper<Iterator> > parameter_fixed;
+ qi::rule<Iterator, parameter(), skipper<Iterator> > start;
+ qi::rule<Iterator, ast::nil(), skipper<Iterator> > parameter_unsupported_pre,
+ parameter_unsupported_post;
+ qi::symbols<char, ast::datatype> datatype;
+ };
+}}
+#endif /* PARAMETER_HPP_ */
diff --git a/src/Structure/SDDSParser/parameter_def.hpp b/src/Structure/SDDSParser/parameter_def.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..a1caeaab4d26ace2c58632579f9f2b6e65212cc5
--- /dev/null
+++ b/src/Structure/SDDSParser/parameter_def.hpp
@@ -0,0 +1,126 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef PARAMETER_DEF_HPP_
+#define PARAMETER_DEF_HPP_
+
+#include "parameter.hpp"
+
+#include <boost/spirit/include/phoenix_core.hpp>
+#include <boost/spirit/include/phoenix_operator.hpp>
+#include <boost/spirit/include/phoenix_fusion.hpp>
+#include <boost/spirit/include/phoenix_object.hpp>
+#include <boost/spirit/include/phoenix_bind.hpp>
+
+namespace SDDS { namespace parser
+{
+ template <typename Iterator>
+ parameter_parser<Iterator>::parameter_parser(error_handler<Iterator> & _error_handler):
+ parameter_parser::base_type(start)
+ {
+ using qi::on_error;
+ using qi::on_success;
+ using qi::fail;
+ using phx::function;
+ typedef function<parameterOrder<Iterator> > order_function_t;
+ typedef function<error_handler<Iterator> > error_handler_function;
+
+ // qi::_0_type _0;
+ qi::_1_type _1;
+ qi::_3_type _3;
+ qi::_4_type _4;
+ qi::lexeme_type lexeme;
+ qi::char_type char_;
+ qi::lit_type lit;
+ qi::long_type long_;
+ qi::alpha_type alpha;
+ qi::alnum_type alnum;
+ qi::_val_type _val;
+ qi::_pass_type _pass;
+ qi::eps_type eps;
+
+ quoted_string %= lexeme['"' >> +(char_ - '"') >> '"'];
+ string %= quoted_string
+ | lexeme[(alpha | char_("@:#+-%._$&/")) >> *(alnum | char_("@:#+-%._$&/"))];
+ units %= lexeme[alpha >> *(alpha | char_('/'))]
+ | char_('1');
+
+ datatype.add
+ ("float", ast::FLOAT)
+ ("double", ast::DOUBLE)
+ ("short", ast::SHORT)
+ ("long", ast::LONG)
+ ("character", ast::CHARACTER)
+ ("string", ast::STRING)
+ ;
+
+ parameter_name = lit("name") > '=' > string;
+ parameter_units %= lit("units") > '=' > units;
+ parameter_description %= lit("description") > '=' > string;
+ parameter_type %= lit("type") > '=' > datatype;
+ parameter_symbol = lit("symbol") > '=' > string;
+ parameter_format = lit("format_string") > '=' > string;
+ parameter_fixed = lit("fixed_value") > long_;
+
+ auto complainSymbol = phx::bind(¶meter::complainUnsupported<parameter::SYMBOL>::apply);
+ auto complainFormat = phx::bind(¶meter::complainUnsupported<parameter::FORMAT_STRING>::apply);
+ auto complainFixed = phx::bind(¶meter::complainUnsupported<parameter::FIXED_VALUE>::apply);
+
+ parameter_unsupported_pre =
+ ((',' > parameter_symbol[_pass = complainSymbol])
+ ^ (',' > parameter_format[_pass = complainFormat])
+ ^ (',' > parameter_fixed[_pass = complainFixed])
+ );
+ parameter_unsupported_post =
+ ((parameter_symbol[_pass = complainSymbol] > ',')
+ ^ (parameter_format[_pass = complainFormat] > ',')
+ ^ (parameter_fixed[_pass = complainFixed] > ',')
+ );
+
+ start =
+ lit("¶meter")
+ > -parameter_unsupported_post
+ >> ((parameter_name[phx::at_c<0>(_val) = _1]
+ >> ((',' >> parameter_type[phx::at_c<1>(_val) = _1])
+ ^(',' >> parameter_units[phx::at_c<2>(_val) = _1])
+ ^(',' >> parameter_description[phx::at_c<3>(_val) = _1])
+ ))
+ |(parameter_type[phx::at_c<1>(_val) = _1]
+ >> ((',' >> parameter_name[phx::at_c<0>(_val) = _1])
+ ^(',' >> parameter_units[phx::at_c<2>(_val) = _1])
+ ^(',' >> parameter_description[phx::at_c<3>(_val) = _1])
+ ))
+ |(parameter_units[phx::at_c<2>(_val) = _1]
+ >> ((',' >> parameter_type[phx::at_c<1>(_val) = _1])
+ ^(',' >> parameter_name[phx::at_c<0>(_val) = _1])
+ ^(',' >> parameter_description[phx::at_c<3>(_val) = _1])
+ ))
+ |(parameter_description[phx::at_c<3>(_val) = _1]
+ >> ((',' >> parameter_type[phx::at_c<1>(_val) = _1])
+ ^(',' >> parameter_units[phx::at_c<2>(_val) = _1])
+ ^(',' >> parameter_name[phx::at_c<0>(_val) = _1])
+ ))
+ )
+ > -parameter_unsupported_pre
+ > lit("&end")
+ >> eps[_pass = phx::bind(¶meter::checkMandatories, _val)];
+
+ BOOST_SPIRIT_DEBUG_NODES(
+ (start)
+ )
+
+ on_error<fail>(start,
+ error_handler_function(_error_handler)(
+ "Error! Expecting ", _4, _3));
+
+ on_success(start,
+ order_function_t()(_val,_1));
+
+ }
+}}
+#endif /* PARAMETER_DEF_HPP_ */
\ No newline at end of file
diff --git a/src/Structure/SDDSParser/skipper.hpp b/src/Structure/SDDSParser/skipper.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..56b0fca195e400891a294f1e5ae36718ca094207
--- /dev/null
+++ b/src/Structure/SDDSParser/skipper.hpp
@@ -0,0 +1,62 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef SKIPPER_HPP_
+#define SKIPPER_HPP_
+
+#include <boost/spirit/include/qi.hpp>
+
+namespace SDDS { namespace parser
+{
+ namespace qi = boost::spirit::qi;
+ namespace ascii = boost::spirit::ascii;
+
+ ///////////////////////////////////////////////////////////////////////////////
+ // The skipper grammar
+ ///////////////////////////////////////////////////////////////////////////////
+ template <typename Iterator>
+ struct skipper : qi::grammar<Iterator>
+ {
+ skipper() : skipper::base_type(start)
+ {
+ qi::eol_type eol;
+ qi::eoi_type eoi;
+ qi::char_type char_;
+ ascii::space_type space;
+
+ start =
+ space
+ | "!" >> *(char_ - eol) >> (eol|eoi) // comments
+ ;
+ }
+
+ qi::rule<Iterator> start;
+ };
+
+ template <typename Iterator>
+ struct listskipper : qi::grammar<Iterator>
+ {
+ listskipper() : listskipper::base_type(start)
+ {
+ qi::char_type char_;
+ ascii::space_type space;
+
+ start =
+ space
+ | char_(',')
+ ;
+ }
+
+ qi::rule<Iterator> start;
+ };
+
+}}
+
+#endif
+
+
diff --git a/src/Structure/SDDSParser/version.cpp b/src/Structure/SDDSParser/version.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..8d59641e4d6c340e1343919da47167d08acea298
--- /dev/null
+++ b/src/Structure/SDDSParser/version.cpp
@@ -0,0 +1,8 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+#include "version_def.hpp"
+
+typedef std::string::const_iterator iterator_t;
+template struct SDDS::parser::version_parser<iterator_t>;
diff --git a/src/Structure/SDDSParser/version.hpp b/src/Structure/SDDSParser/version.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..7a8c09f3b8f369ce30da26f4dd02fbfb6f898288
--- /dev/null
+++ b/src/Structure/SDDSParser/version.hpp
@@ -0,0 +1,54 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef VERSION_HPP_
+#define VERSION_HPP_
+
+#include "ast.hpp"
+#include "skipper.hpp"
+#include "error_handler.hpp"
+
+#include <boost/config/warning_disable.hpp>
+#include <boost/spirit/include/qi.hpp>
+#include <boost/fusion/include/adapt_struct.hpp>
+
+#define BOOST_SPIRIT_NO_PREDEFINED_TERMINALS
+#define BOOST_SPIRIT_QI_DEBUG
+
+namespace SDDS {
+ struct version
+ {
+ short layoutVersion_m;
+ };
+
+ inline std::ostream& operator<<(std::ostream& out, const version& head) {
+ out << "layout version is " << head.layoutVersion_m;
+ return out;
+ }
+}
+
+BOOST_FUSION_ADAPT_STRUCT(
+ SDDS::version,
+ (short, layoutVersion_m)
+)
+
+namespace SDDS { namespace parser
+{
+ namespace qi = boost::spirit::qi;
+ namespace ascii = boost::spirit::ascii;
+ namespace phx = boost::phoenix;
+
+ template <typename Iterator>
+ struct version_parser: qi::grammar<Iterator, version(), skipper<Iterator> >
+ {
+ version_parser(error_handler<Iterator> & _error_handler);
+
+ qi::rule<Iterator, version(), skipper<Iterator> > start;
+ };
+}}
+#endif /* VERSION_HPP_ */
diff --git a/src/Structure/SDDSParser/version_def.hpp b/src/Structure/SDDSParser/version_def.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..9a44d3fd63c9730ffd41b0f92087ae0e7afeb89d
--- /dev/null
+++ b/src/Structure/SDDSParser/version_def.hpp
@@ -0,0 +1,49 @@
+//
+// Copyright & License: See Copyright.readme in src directory
+//
+
+/*!
+ Class documentation
+*/
+
+#ifndef VERSION_DEF_HPP_
+#define VERSION_DEF_HPP_
+
+#include "version.hpp"
+
+#include <boost/spirit/include/phoenix_core.hpp>
+#include <boost/spirit/include/phoenix_operator.hpp>
+#include <boost/spirit/include/phoenix_fusion.hpp>
+#include <boost/spirit/include/phoenix_bind.hpp>
+
+namespace SDDS { namespace parser
+{
+ template <typename Iterator>
+ version_parser<Iterator>::version_parser(error_handler<Iterator> & _error_handler):
+ version_parser::base_type(start)
+ {
+ using qi::on_error;
+ using qi::fail;
+ using phx::function;
+ typedef function<error_handler<Iterator> > error_handler_function;
+
+ // qi::_1_type _1;
+ qi::_3_type _3;
+ qi::_4_type _4;
+ // qi::_val_type _val;
+ qi::short_type short_;
+ qi::no_skip_type no_skip;
+ qi::lit_type lit;
+
+ start %= no_skip[lit("SDDS") > short_];
+
+ BOOST_SPIRIT_DEBUG_NODES(
+ (start)
+ )
+
+ on_error<fail>(start,
+ error_handler_function(_error_handler)(
+ "Error! Expecting ", _4, _3));
+ }
+}}
+#endif /* VERSION_DEF_HPP_ */
\ No newline at end of file
diff --git a/src/changes.cpp b/src/changes.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..a2e001b16ba9b1f01f2239a69dfae9a3202459f1
--- /dev/null
+++ b/src/changes.cpp
@@ -0,0 +1,27 @@
+#include <map>
+#include <string>
+
+namespace Versions {
+ std::map<unsigned int, std::string> changes;
+
+ void fillChanges() {
+ if (changes.size() > 0) return;
+
+ changes.insert({105,
+ "* The normalization of the 2-dimensional field maps has changed.\n"
+ " Instead of normalizing with the overall maximum value of longitudinal\n"
+ " component Opal now uses the maximum value on axis.\n"
+ "\n"
+ "* The design energy of dipoles is now expected to be in MeV instead of eV.\n"
+ });
+
+ changes.insert({109,
+ "* Beamlines are now placed in 3-dimensional space. Make sure that you\n"
+ " use apertures to limit the range of the elements. Default aperture \n"
+ " has circular shape with diameter 1 meter.\n"
+ "\n"
+ "* Beamlines containing a cathode have to have a SOURCE element to indicate\n"
+ " this fact\n"
+ });
+ }
+}
\ No newline at end of file
diff --git a/src/changes.h b/src/changes.h
new file mode 100644
index 0000000000000000000000000000000000000000..2d09a6abd5926652e2acb8307d8fb3ace5c111a5
--- /dev/null
+++ b/src/changes.h
@@ -0,0 +1,12 @@
+#ifndef CHANGES_H
+#define CHANGES_H
+
+#include <map>
+#include <string>
+namespace Versions {
+ extern std::map<unsigned int, std::string> changes;
+
+ void fillChanges();
+}
+
+#endif
\ No newline at end of file
diff --git a/tests/opal_src/Algorithms/StatisticalErrors/CMakeLists.txt b/tests/opal_src/Algorithms/StatisticalErrors/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4007a22a5e2b6311c06726fabbe7b94114c864d0
--- /dev/null
+++ b/tests/opal_src/Algorithms/StatisticalErrors/CMakeLists.txt
@@ -0,0 +1,9 @@
+set (_SRCS
+ Test1.cpp
+)
+
+include_directories (
+ ${CMAKE_CURRENT_SOURCE_DIR}
+)
+
+add_sources(${_SRCS})
\ No newline at end of file
diff --git a/tests/opal_src/Algorithms/StatisticalErrors/Test1.cpp b/tests/opal_src/Algorithms/StatisticalErrors/Test1.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..e8892150c7761968b639a70cca1e4d3b11b5b631
--- /dev/null
+++ b/tests/opal_src/Algorithms/StatisticalErrors/Test1.cpp
@@ -0,0 +1,215 @@
+#include <gtest/gtest.h>
+#include <boost/filesystem.hpp>
+
+#include "Test1.h"
+#include "Algorithms/StatisticalErrors.h"
+#include "Structure/OpalInputInterpreter.h"
+
+#include <iostream>
+#include <fstream>
+#include <string>
+#include <sstream>
+#include <iterator>
+
+
+TEST(StatisticalErrorTests, CPPCommentTest) {
+ std::istringstream in(inputCPPCommentTest);
+ OpalInputInterpreter interpreter;
+
+ interpreter.parse(in, interpreter.sourceParts_m.end());
+
+ ast::variant_t front = interpreter.sourceParts_m.front();
+ EXPECT_EQ(ast::TEXT, boost::get<int>(front));
+
+ interpreter.sourceParts_m.pop_front();
+
+ front = interpreter.sourceParts_m.front();
+ EXPECT_EQ(outputCPPCommentTest, boost::get<std::string>(front));
+}
+
+
+TEST(StatisticalErrorTests, CCommentTest) {
+ std::istringstream in(inputCCommentTest);
+ OpalInputInterpreter interpreter;
+
+ interpreter.parse(in, interpreter.sourceParts_m.end());
+
+ ast::variant_t front = interpreter.sourceParts_m.front();
+ EXPECT_EQ(ast::TEXT, boost::get<int>(front));
+
+ interpreter.sourceParts_m.pop_front();
+
+ front = interpreter.sourceParts_m.front();
+ EXPECT_EQ(outputCCommentTest, boost::get<std::string>(front));
+}
+
+TEST(StatisticalErrorTests, TGaussTest) {
+ std::istringstream in(inputTGaussTest);
+ OpalInputInterpreter interpreter;
+
+ interpreter.parse(in, interpreter.sourceParts_m.end());
+
+ ast::variant_t front = interpreter.sourceParts_m.front();
+ EXPECT_EQ(ast::TEXT, boost::get<int>(front));
+
+ interpreter.sourceParts_m.pop_front();
+
+ front = interpreter.sourceParts_m.front();
+ EXPECT_EQ(outputTGaussTest1, boost::get<std::string>(front));
+
+ interpreter.sourceParts_m.pop_front();
+
+ front = interpreter.sourceParts_m.front();
+ EXPECT_EQ(ast::TGAUSS, boost::get<int>(front));
+
+ interpreter.sourceParts_m.pop_front();
+
+ front = interpreter.sourceParts_m.front();
+ EXPECT_EQ(-3.141e-3, boost::get<double>(front));
+
+ ast::variant_t back = interpreter.sourceParts_m.back();
+ EXPECT_EQ(outputTGaussTest2, boost::get<std::string>(back));
+}
+
+TEST(StatisticalErrorTests, GaussTest) {
+ std::istringstream in(inputGaussTest);
+ OpalInputInterpreter interpreter;
+
+ interpreter.parse(in, interpreter.sourceParts_m.end());
+
+ ast::variant_t front = interpreter.sourceParts_m.front();
+ EXPECT_EQ(ast::TEXT, boost::get<int>(front));
+
+ interpreter.sourceParts_m.pop_front();
+
+ front = interpreter.sourceParts_m.front();
+ EXPECT_EQ(outputGaussTest1, boost::get<std::string>(front));
+
+ interpreter.sourceParts_m.pop_front();
+
+ front = interpreter.sourceParts_m.front();
+ EXPECT_EQ(ast::GAUSS, boost::get<int>(front));
+
+ interpreter.sourceParts_m.pop_front();
+
+ front = interpreter.sourceParts_m.front();
+ EXPECT_EQ(ast::TEXT, boost::get<int>(front));
+
+ interpreter.sourceParts_m.pop_front();
+
+ front = interpreter.sourceParts_m.front();
+ EXPECT_EQ(outputGaussTest2, boost::get<std::string>(front));
+
+ interpreter.sourceParts_m.pop_front();
+
+ front = interpreter.sourceParts_m.front();
+ EXPECT_EQ(ast::TGAUSS, boost::get<int>(front));
+
+ interpreter.sourceParts_m.pop_front(); // -3.141e-3
+ interpreter.sourceParts_m.pop_front(); // ast::TEXT
+ interpreter.sourceParts_m.pop_front();
+
+ front = interpreter.sourceParts_m.front();
+ EXPECT_EQ(outputTGaussTest2, boost::get<std::string>(front));
+}
+
+TEST(StatisticalErrorTests, CallTest) {
+ std::istringstream in(inputCallTest);
+ OpalInputInterpreter interpreter;
+
+ interpreter.parse(in, interpreter.sourceParts_m.end());
+
+ ast::variant_t front = interpreter.sourceParts_m.front();
+ EXPECT_EQ(ast::TEXT, boost::get<int>(front));
+
+ interpreter.sourceParts_m.pop_front();
+
+ front = interpreter.sourceParts_m.front();
+ EXPECT_EQ(outputCallTest1, boost::get<std::string>(front));
+
+ interpreter.sourceParts_m.pop_front();
+
+ front = interpreter.sourceParts_m.front();
+ EXPECT_EQ(ast::CALL, boost::get<int>(front));
+
+ interpreter.sourceParts_m.pop_front();
+
+ front = interpreter.sourceParts_m.front();
+ EXPECT_EQ("path/to/some/OPAL_input-file.ver3.141.txt", boost::get<std::string>(front));
+}
+
+TEST(StatisticalErrorTests, FileTest) {
+ std::ofstream ofh("FileTest.in");
+ ofh << inputGaussTest;
+ ofh.close();
+
+ OpalInputInterpreter interpreter("FileTest.in");
+
+ auto it = interpreter.sourceParts_m.begin();
+ std::advance(it, 4);
+
+ EXPECT_EQ(outputGaussTest2, boost::get<std::string>(*it));
+
+ boost::filesystem::remove("FileTest.in");
+}
+
+TEST(StatisticalErrorTests, SubFileTest) {
+ std::ofstream ofh("FileTest.in");
+ ofh << inputSubFileTest1;
+ ofh.close();
+ ofh.open("SubFileTest.in");
+ ofh << inputSubFileTest2;
+ ofh.close();
+
+ OpalInputInterpreter interpreter("FileTest.in");
+
+ auto it = interpreter.sourceParts_m.begin();
+ std::advance(it, 4);
+
+ EXPECT_EQ(ast::GAUSS, boost::get<int>(*it));
+
+ std::advance(it, 4);
+ EXPECT_EQ(3.1e-4, boost::get<double>(*it));
+
+ std::advance(it, 4);
+ EXPECT_EQ(outputSubFileTest1, boost::get<std::string>(*it));
+
+ boost::filesystem::remove("SubFileTest.in");
+ boost::filesystem::remove("FileTest.in");
+}
+
+TEST(StatisticalErrorTests, ASTTest) {
+ std::ofstream ofh("FileTest.in");
+ ofh << inputSubFileTest1;
+ ofh.close();
+ ofh.open("SubFileTest.in");
+ ofh << inputSubFileTest2;
+ ofh.close();
+
+ OpalInputInterpreter interpreter("FileTest.in");
+ std::string output = interpreter.processASTReference();
+
+ EXPECT_EQ(outputASTTest + originalTrack, output);
+
+ boost::filesystem::remove("SubFileTest.in");
+ boost::filesystem::remove("FileTest.in");
+}
+
+TEST(StatisticalErrorTests, ReplaceTest) {
+ std::ofstream ofh("FileTest.in");
+ ofh << inputSubFileTest1;
+ ofh.close();
+ ofh.open("SubFileTest.in");
+ ofh << inputSubFileTest2;
+ ofh.close();
+
+ OpalInputInterpreter interpreter("FileTest.in");
+ interpreter.replaceString("STATISTICAL-ERRORS\\((.*?),\\s*\\d*\\s*,\\s*\\d*\\s*\\)",
+ "${1}");
+ std::string output = interpreter.processASTReference();
+
+ EXPECT_EQ(outputASTTest + replacedTrack, output);
+
+ boost::filesystem::remove("SubFileTest.in");
+ boost::filesystem::remove("FileTest.in");
+}
\ No newline at end of file
diff --git a/tests/opal_src/Algorithms/StatisticalErrors/Test1.h b/tests/opal_src/Algorithms/StatisticalErrors/Test1.h
new file mode 100644
index 0000000000000000000000000000000000000000..fc651fff6d96350872428caeb3c6137c50940962
--- /dev/null
+++ b/tests/opal_src/Algorithms/StatisticalErrors/Test1.h
@@ -0,0 +1,422 @@
+#ifndef TEST1_H
+#define TEST1_H
+
+std::string inputCPPCommentTest("DOAUTOPHASE = 1;\n"
+"OPTION, ECHO=FALSE;\n"
+"OPTION, PSDUMPFREQ=200000;\n"
+"OPTION, STATDUMPFREQ=50;\n"
+"IF (DOAUTOPHASE == 1)\n"
+" {OPTION, AUTOPHASE=4;}\n"
+"ELSE\n"
+" {OPTION, AUTOPHASE=0;}\n"
+"OPTION, CZERO=TRUE;\n"
+"\n"
+"TITLE, STRING=\"SRF-Injector77pC, BK, 2014-10-16\";\n"
+"\n"
+"//////////////////////////////\n"
+"// Begin Content\n"
+"//////////////////////////////\n"
+"\n"
+"//////////////////////////////\n"
+"// GAF_1\n"
+"//////////////////////////////\n"
+"MARK1L1GAF_1: MARKER, ELEMEDGE=0, L=0;\n"
+"CATHODEVGAF_1: RFCAVITY, ELEMEDGE=0.0, L=0;\n"
+"\n"
+"IF (DOAUTOPHASE == 1) {\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384, TYPE=\"STANDING\",\n"
+" LAG=-5.9/180*PI, FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"} ELSE {\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384, TYPE=\"STANDING\",\n"
+" LAG=(44.68+90-5.9)/180*PI, FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"}\n");
+
+std::string outputCPPCommentTest("DOAUTOPHASE = 1;\n"
+"OPTION, ECHO=FALSE;\n"
+"OPTION, PSDUMPFREQ=200000;\n"
+"OPTION, STATDUMPFREQ=50;\n"
+"IF (DOAUTOPHASE == 1)\n"
+" {OPTION, AUTOPHASE=4;}\n"
+"ELSE\n"
+" {OPTION, AUTOPHASE=0;}\n"
+"OPTION, CZERO=TRUE;\n"
+"\n"
+"TITLE, STRING=\"SRF-Injector77pC, BK, 2014-10-16\";\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"MARK1L1GAF_1: MARKER, ELEMEDGE=0, L=0;\n"
+"CATHODEVGAF_1: RFCAVITY, ELEMEDGE=0.0, L=0;\n"
+"\n"
+"IF (DOAUTOPHASE == 1) {\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384, TYPE=\"STANDING\",\n"
+" LAG=-5.9/180*PI, FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"} ELSE {\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384, TYPE=\"STANDING\",\n"
+" LAG=(44.68+90-5.9)/180*PI, FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"}\n");
+
+std::string inputCCommentTest("DOAUTOPHASE = 1;\n"
+"OPTION, ECHO=FALSE;\n"
+"OPTION, PSDUMPFREQ=200000;\n"
+"OPTION, STATDUMPFREQ=50;\n"
+"IF (DOAUTOPHASE == 1)\n"
+" {OPTION, AUTOPHASE=4;}\n"
+"ELSE\n"
+" {OPTION, AUTOPHASE=0;}\n"
+"OPTION, CZERO=TRUE;\n"
+"\n"
+"TITLE, STRING=\"SRF-Injector77pC, BK, 2014-10-16\";\n"
+"\n"
+"//////////////////////////////\n"
+"// Begin Content\n"
+"//////////////////////////////\n"
+"\n"
+"//////////////////////////////\n"
+"// GAF_1\n"
+"//////////////////////////////\n"
+"MARK1L1GAF_1: MARKER, ELEMEDGE=0, L=0;\n"
+"CATHODEVGAF_1: RFCAVITY, ELEMEDGE=0.0, L=0;\n"
+"\n"
+"IF (DOAUTOPHASE == 1) {\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384, TYPE=\"STANDING\",\n"
+" LAG=-5.9/180*PI, FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"/*} ELSE {*/\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384, TYPE=\"STANDING\",\n"
+" /*LAG=(44.68+90-5.9)/180*PI, */FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"}\n");
+
+std::string outputCCommentTest("DOAUTOPHASE = 1;\n"
+"OPTION, ECHO=FALSE;\n"
+"OPTION, PSDUMPFREQ=200000;\n"
+"OPTION, STATDUMPFREQ=50;\n"
+"IF (DOAUTOPHASE == 1)\n"
+" {OPTION, AUTOPHASE=4;}\n"
+"ELSE\n"
+" {OPTION, AUTOPHASE=0;}\n"
+"OPTION, CZERO=TRUE;\n"
+"\n"
+"TITLE, STRING=\"SRF-Injector77pC, BK, 2014-10-16\";\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"MARK1L1GAF_1: MARKER, ELEMEDGE=0, L=0;\n"
+"CATHODEVGAF_1: RFCAVITY, ELEMEDGE=0.0, L=0;\n"
+"\n"
+"IF (DOAUTOPHASE == 1) {\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384, TYPE=\"STANDING\",\n"
+" LAG=-5.9/180*PI, FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384, TYPE=\"STANDING\",\n"
+" FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"}\n");
+
+std::string inputTGaussTest("DOAUTOPHASE = 1;\n"
+"OPTION, ECHO=FALSE;\n"
+"OPTION, PSDUMPFREQ=200000;\n"
+"OPTION, STATDUMPFREQ=50;\n"
+"IF (DOAUTOPHASE == 1)\n"
+" {OPTION, AUTOPHASE=4;}\n"
+"ELSE\n"
+" {OPTION, AUTOPHASE=0;}\n"
+"OPTION, CZERO=TRUE;\n"
+"\n"
+"TITLE, STRING=\"SRF-Injector77pC, BK, 2014-10-16\";\n"
+"\n"
+"//////////////////////////////\n"
+"// Begin Content\n"
+"//////////////////////////////\n"
+"\n"
+"//////////////////////////////\n"
+"// GAF_1\n"
+"//////////////////////////////\n"
+"MARK1L1GAF_1: MARKER, ELEMEDGE=0, L=0;\n"
+"CATHODEVGAF_1: RFCAVITY, ELEMEDGE=0.0 + TGAUSS(-3.141e-3), L=0;\n"
+"\n"
+"IF (DOAUTOPHASE == 1) {\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384, TYPE=\"STANDING\",\n"
+" LAG=-5.9/180*PI, FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"/*} ELSE {*/\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384, TYPE=\"STANDING\",\n"
+" /*LAG=(44.68+90-5.9)/180*PI, */FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"}\n");
+
+std::string outputTGaussTest1("DOAUTOPHASE = 1;\n"
+"OPTION, ECHO=FALSE;\n"
+"OPTION, PSDUMPFREQ=200000;\n"
+"OPTION, STATDUMPFREQ=50;\n"
+"IF (DOAUTOPHASE == 1)\n"
+" {OPTION, AUTOPHASE=4;}\n"
+"ELSE\n"
+" {OPTION, AUTOPHASE=0;}\n"
+"OPTION, CZERO=TRUE;\n"
+"\n"
+"TITLE, STRING=\"SRF-Injector77pC, BK, 2014-10-16\";\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"MARK1L1GAF_1: MARKER, ELEMEDGE=0, L=0;\n"
+"CATHODEVGAF_1: RFCAVITY, ELEMEDGE=0.0 + ");
+
+std::string outputTGaussTest2(", L=0;\n"
+"\n"
+"IF (DOAUTOPHASE == 1) {\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384, TYPE=\"STANDING\",\n"
+" LAG=-5.9/180*PI, FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384, TYPE=\"STANDING\",\n"
+" FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"}\n");
+
+std::string inputGaussTest("DOAUTOPHASE = 1;\n"
+"OPTION, ECHO=FALSE;\n"
+"OPTION, PSDUMPFREQ=200000;\n"
+"OPTION, STATDUMPFREQ=50;\n"
+"IF (DOAUTOPHASE == 1)\n"
+" {OPTION, AUTOPHASE=4;}\n"
+"ELSE\n"
+" {OPTION, AUTOPHASE=0;}\n"
+"OPTION, CZERO=TRUE;\n"
+"\n"
+"TITLE, STRING=\"SRF-Injector77pC, BK, 2014-10-16\";\n"
+"\n"
+"//////////////////////////////\n"
+"// Begin Content\n"
+"//////////////////////////////\n"
+"\n"
+"//////////////////////////////\n"
+"// GAF_1\n"
+"//////////////////////////////\n"
+"MARK1L1GAF_1: MARKER, ELEMEDGE=0 + GAUSS(), L=0;\n"
+"CATHODEVGAF_1: RFCAVITY, ELEMEDGE=0.0 + TGAUSS(-3.141e-3), L=0;\n"
+"\n"
+"IF (DOAUTOPHASE == 1) {\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384, TYPE=\"STANDING\",\n"
+" LAG=-5.9/180*PI, FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"/*} ELSE {*/\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384, TYPE=\"STANDING\",\n"
+" /*LAG=(44.68+90-5.9)/180*PI, */FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"}\n");
+
+std::string outputGaussTest1("DOAUTOPHASE = 1;\n"
+"OPTION, ECHO=FALSE;\n"
+"OPTION, PSDUMPFREQ=200000;\n"
+"OPTION, STATDUMPFREQ=50;\n"
+"IF (DOAUTOPHASE == 1)\n"
+" {OPTION, AUTOPHASE=4;}\n"
+"ELSE\n"
+" {OPTION, AUTOPHASE=0;}\n"
+"OPTION, CZERO=TRUE;\n"
+"\n"
+"TITLE, STRING=\"SRF-Injector77pC, BK, 2014-10-16\";\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"MARK1L1GAF_1: MARKER, ELEMEDGE=0 + ");
+
+std::string outputGaussTest2(", L=0;\n"
+"CATHODEVGAF_1: RFCAVITY, ELEMEDGE=0.0 + ");
+
+std::string inputCallTest("DOAUTOPHASE = 1;\n"
+"OPTION, ECHO=FALSE;\n"
+"OPTION, PSDUMPFREQ=200000;\n"
+"OPTION, STATDUMPFREQ=50;\n"
+"IF (DOAUTOPHASE == 1)\n"
+" {OPTION, AUTOPHASE=4;}\n"
+"ELSE\n"
+" {OPTION, AUTOPHASE=0;}\n"
+"OPTION, CZERO=TRUE;\n"
+"\n"
+"TITLE, STRING=\"SRF-Injector77pC, BK, 2014-10-16\";\n"
+"\n"
+"//////////////////////////////\n"
+"// Begin Content\n"
+"//////////////////////////////\n"
+"\n"
+"//////////////////////////////\n"
+"// GAF_1\n"
+"//////////////////////////////\n"
+"MARK1L1GAF_1: MARKER, ELEMEDGE=0, L=0;\n"
+"CATHODEVGAF_1: RFCAVITY, ELEMEDGE=0.0, L=0;\n"
+"\n"
+" call , file= \"path/to/some/OPAL_input-file.ver3.141.txt\" ; \n"
+"IF (DOAUTOPHASE == 1) {\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384, TYPE=\"STANDING\",\n"
+" LAG=-5.9/180*PI, FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"} ELSE {\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384, TYPE=\"STANDING\",\n"
+" LAG=(44.68+90-5.9)/180*PI, FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"}\n");
+
+std::string outputCallTest1("DOAUTOPHASE = 1;\n"
+"OPTION, ECHO=FALSE;\n"
+"OPTION, PSDUMPFREQ=200000;\n"
+"OPTION, STATDUMPFREQ=50;\n"
+"IF (DOAUTOPHASE == 1)\n"
+" {OPTION, AUTOPHASE=4;}\n"
+"ELSE\n"
+" {OPTION, AUTOPHASE=0;}\n"
+"OPTION, CZERO=TRUE;\n"
+"\n"
+"TITLE, STRING=\"SRF-Injector77pC, BK, 2014-10-16\";\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"MARK1L1GAF_1: MARKER, ELEMEDGE=0, L=0;\n"
+"CATHODEVGAF_1: RFCAVITY, ELEMEDGE=0.0, L=0;\n"
+"\n"
+" ");
+
+std::string inputSubFileTest1("DOAUTOPHASE = 1;\n"
+"OPTION, ECHO=FALSE;\n"
+"OPTION, PSDUMPFREQ=200000;\n"
+"OPTION, STATDUMPFREQ=50;\n"
+"IF (DOAUTOPHASE == 1)\n"
+" {OPTION, AUTOPHASE=4;}\n"
+"ELSE\n"
+" {OPTION, AUTOPHASE=0;}\n"
+"OPTION, CZERO=TRUE;\n"
+"\n"
+"TITLE, STRING=\"SRF-Injector77pC, BK, 2014-10-16\";\n"
+"\n"
+"//////////////////////////////\n"
+"// Begin Content\n"
+"//////////////////////////////\n"
+"\n"
+"//////////////////////////////\n"
+"// GAF_1\n"
+"//////////////////////////////\n"
+"MARK1L1GAF_1: MARKER, ELEMEDGE=0, L=0;\n"
+"CATHODEVGAF_1: RFCAVITY, ELEMEDGE=0.0, L=0;\n"
+"\n"
+" call , file= \"SubFileTest.in\" ; \n"
+"IF (DOAUTOPHASE == 1) {\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384, TYPE=\"STANDING\",\n"
+" LAG=-5.9/180*PI, FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"} ELSE {\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384 + 1.234*TGauss(+2.1e-3), TYPE=\"STANDING\",\n"
+" LAG=(44.68+90-5.9)/180*PI, FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"}\n"
+"TRACK, LINE=BerlinPro, BEAM=beam1, MAXSTEPS=180000, DT=1.0e-13, ZSTOP=15.0;\n"
+"RUN, METHOD = \"STATISTICAL-ERRORS(PARALLEL-T, 4, 1000)\", BEAM = beam1, FIELDSOLVER = Fs1, DISTRIBUTION = Dist1;\n"
+"ENDTRACK;\n");
+
+std::string inputSubFileTest2("//////////////////////////////\n"
+"// BAF_1\n"
+"//////////////////////////////\n"
+"MARK2L1BAF_1: MARKER, ELEMEDGE=2.10471, L=0;\n"
+"IF (DOAUTOPHASE == 1) {\n"
+" CAVH1BAF_1: RFCAVITY, ELEMEDGE=2.892001 + 3.414e-3*GAUSS(), TYPE=\"STANDING\", LAG=-90./180*PI,\n"
+" FMAPFN=\"CBFp.dat\", VOLT=4, FREQ=1300;\n"
+" CAVH2BAF_1: RFCAVITY, ELEMEDGE=3.681949 + 1e-3*TGAUSS(.31e-3), TYPE=\"STANDING\", LAG=0/180*PI,\n"
+" FMAPFN=\"CBFp.dat\", VOLT=19, FREQ=1300;\n"
+" CAVH3BAF_1: RFCAVITY, ELEMEDGE=4.471991, TYPE=\"STANDING\", LAG=0/180*PI,\n"
+" FMAPFN=\"CBFp.dat\", VOLT=19, FREQ=1300;\n"
+"\n"
+"// fixed ASTRA autophase minus 180° seeks correct results\n"
+"} ELSE {\n"
+" CAVH1BAF_1: RFCAVITY, ELEMEDGE=2.892001, TYPE=\"STANDING\", LAG=(234.63-180)/180*PI,\n"
+" FMAPFN=\"CBFp.dat\", VOLT=4, FREQ=1300;\n"
+" CAVH2BAF_1: RFCAVITY, ELEMEDGE=3.681949, TYPE=\"STANDING\", LAG=(60.62-90)/180*PI,\n"
+" FMAPFN=\"CBFp.dat\", VOLT=19, FREQ=1300;\n"
+" CAVH3BAF_1: RFCAVITY, ELEMEDGE=4.471991, TYPE=\"STANDING\", LAG=(260.13-90)/180*PI,\n"
+" FMAPFN=\"CBFp.dat\", VOLT=19, FREQ=1300;\n"
+"}\n"
+"\n"
+"BAF_1: LINE = (MARK2L1BAF_1, CAVH1BAF_1, CAVH2BAF_1, CAVH3BAF_1);");
+
+std::string outputSubFileTest1(" \n"
+"IF (DOAUTOPHASE == 1) {\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384, TYPE=\"STANDING\",\n"
+" LAG=-5.9/180*PI, FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"} ELSE {\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384 + 1.234*");
+
+std::string outputASTTest("DOAUTOPHASE = 1;\n"
+"OPTION, ECHO=FALSE;\n"
+"OPTION, PSDUMPFREQ=200000;\n"
+"OPTION, STATDUMPFREQ=50;\n"
+"IF (DOAUTOPHASE == 1)\n"
+" {OPTION, AUTOPHASE=4;}\n"
+"ELSE\n"
+" {OPTION, AUTOPHASE=0;}\n"
+"OPTION, CZERO=TRUE;\n"
+"\n"
+"TITLE, STRING=\"SRF-Injector77pC, BK, 2014-10-16\";\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"\n"
+"MARK1L1GAF_1: MARKER, ELEMEDGE=0, L=0;\n"
+"CATHODEVGAF_1: RFCAVITY, ELEMEDGE=0.0, L=0;\n"
+"\n"
+" \n"
+"\n"
+"\n"
+"MARK2L1BAF_1: MARKER, ELEMEDGE=2.10471, L=0;\n"
+"IF (DOAUTOPHASE == 1) {\n"
+" CAVH1BAF_1: RFCAVITY, ELEMEDGE=2.892001 + 3.414e-3*0.0, TYPE=\"STANDING\", LAG=-90./180*PI,\n"
+" FMAPFN=\"CBFp.dat\", VOLT=4, FREQ=1300;\n"
+" CAVH2BAF_1: RFCAVITY, ELEMEDGE=3.681949 + 1e-3*0.0, TYPE=\"STANDING\", LAG=0/180*PI,\n"
+" FMAPFN=\"CBFp.dat\", VOLT=19, FREQ=1300;\n"
+" CAVH3BAF_1: RFCAVITY, ELEMEDGE=4.471991, TYPE=\"STANDING\", LAG=0/180*PI,\n"
+" FMAPFN=\"CBFp.dat\", VOLT=19, FREQ=1300;\n"
+"\n"
+"\n"
+"} ELSE {\n"
+" CAVH1BAF_1: RFCAVITY, ELEMEDGE=2.892001, TYPE=\"STANDING\", LAG=(234.63-180)/180*PI,\n"
+" FMAPFN=\"CBFp.dat\", VOLT=4, FREQ=1300;\n"
+" CAVH2BAF_1: RFCAVITY, ELEMEDGE=3.681949, TYPE=\"STANDING\", LAG=(60.62-90)/180*PI,\n"
+" FMAPFN=\"CBFp.dat\", VOLT=19, FREQ=1300;\n"
+" CAVH3BAF_1: RFCAVITY, ELEMEDGE=4.471991, TYPE=\"STANDING\", LAG=(260.13-90)/180*PI,\n"
+" FMAPFN=\"CBFp.dat\", VOLT=19, FREQ=1300;\n"
+"}\n"
+"\n"
+"BAF_1: LINE = (MARK2L1BAF_1, CAVH1BAF_1, CAVH2BAF_1, CAVH3BAF_1);\n"
+" \n"
+"IF (DOAUTOPHASE == 1) {\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384, TYPE=\"STANDING\",\n"
+" LAG=-5.9/180*PI, FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"} ELSE {\n"
+" CAVH1GAF_1: RFCAVITY, ELEMEDGE=0.021384 + 1.234*0.0, TYPE=\"STANDING\",\n"
+" LAG=(44.68+90-5.9)/180*PI, FMAPFN=\"Ez_1_4cell_cathode1_5mm.txt\", VOLT=30, FREQ=1300;\n"
+"}\n");
+
+std::string originalTrack("TRACK, LINE=BerlinPro, BEAM=beam1, MAXSTEPS=180000, DT=1.0e-13, ZSTOP=15.0;\n"
+"RUN, METHOD = \"STATISTICAL-ERRORS(PARALLEL-T, 4, 1000)\", BEAM = beam1, FIELDSOLVER = Fs1, DISTRIBUTION = Dist1;\n"
+"ENDTRACK;\n");
+
+std::string replacedTrack("TRACK, LINE=BerlinPro, BEAM=beam1, MAXSTEPS=180000, DT=1.0e-13, ZSTOP=15.0;\n"
+"RUN, METHOD = \"PARALLEL-T\", BEAM = beam1, FIELDSOLVER = Fs1, DISTRIBUTION = Dist1;\n"
+"ENDTRACK;\n");
+
+#endif //TEST1_H
\ No newline at end of file
diff --git a/tools/CMakeLists.txt b/tools/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4a10a6ee2516e3f245c68c24cbc8826122defbd8
--- /dev/null
+++ b/tools/CMakeLists.txt
@@ -0,0 +1,8 @@
+CMAKE_MINIMUM_REQUIRED(VERSION 2.8.10)
+
+FIND_PACKAGE(SDDS)
+
+IF(SDDS_FOUND)
+ ADD_SUBDIRECTORY(sdds2opal)
+ ADD_SUBDIRECTORY(opal2sdds)
+ENDIF(SDDS_FOUND)
\ No newline at end of file
diff --git a/tools/README b/tools/README
new file mode 100644
index 0000000000000000000000000000000000000000..6dd6784b088a29ba33a1ddf323e9452984394c9b
--- /dev/null
+++ b/tools/README
@@ -0,0 +1,6 @@
+In order to compile the tools sdds2opal and opal2sdds you have to download the source code of SDDS version 3.4
+at http://www.aps.anl.gov/Accelerator_Systems_Division/Accelerator_Operations_Physics/software.shtml#SDDSSource .
+Unpack the sources, change to the directory epics/extensions/src/ and then upack the archive SDDSCMakeLists.tar.gz
+in this directory. Finally apply the patch SDDS.patch with the command
+$ patch -p1 < /path/to/patch/SDDS.patch
+Now you can use cmake to compile and install the SDDS library.
\ No newline at end of file
diff --git a/tools/SDDS.patch b/tools/SDDS.patch
new file mode 100644
index 0000000000000000000000000000000000000000..e31f3f23bbc2850d2b5523e2754e70234a453810
--- /dev/null
+++ b/tools/SDDS.patch
@@ -0,0 +1,18 @@
+*** a/SDDS/include/mdb.h 2016-09-13 16:20:52.103038000 +0200
+--- b/SDDS/include/mdb.h 2016-09-13 16:21:54.605099520 +0200
+***************
+*** 1357,1366 ****
+--- 1357,1369 ----
+
+
+ #ifdef __cplusplus
++ }
+ #include <complex>
+ epicsShareFuncMDBMTH std::complex <double> complexErf(std::complex <double> z, long *flag);
+ epicsShareFuncMDBMTH std::complex <double> cexpi(double p);
+ epicsShareFuncMDBMTH std::complex <double> cipowr(std::complex <double> a, int n);
++
++ extern "C" {
+ #endif
+
+ epicsShareFuncMDBMTH void complex_multiply(
diff --git a/tools/SDDSCMakeLists.tar.gz b/tools/SDDSCMakeLists.tar.gz
new file mode 100644
index 0000000000000000000000000000000000000000..d8f7845c89a462a57d1e7fe1e6a4387c9f837770
Binary files /dev/null and b/tools/SDDSCMakeLists.tar.gz differ
diff --git a/tools/opal2sdds/CMakeLists.txt b/tools/opal2sdds/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..aa90d8c3a4eda4465ac2c4e661aca3906541273a
--- /dev/null
+++ b/tools/opal2sdds/CMakeLists.txt
@@ -0,0 +1,34 @@
+CMAKE_MINIMUM_REQUIRED (VERSION 2.8.10)
+PROJECT (OPAL2SDDS)
+SET (OPAL2SDDS_VERSION_MAJOR 0)
+SET (OPAL2SDDS_VERSION_MINOR 1)
+
+configure_file(config.h.in ${CMAKE_CURRENT_SOURCE_DIR}/config.h)
+
+INCLUDE_DIRECTORIES (
+ ${SDDS_INCLUDE_DIR}
+ ${H5Hut_INCLUDE_DIR}
+ ${HDF5_INCLUDE_DIR}
+)
+
+LINK_DIRECTORIES (
+ ${SDDS_LIBRARY_DIR}
+)
+
+SET (SDDS_LIBS
+ mdbcommon
+ SDDS1
+ mdblib
+ lzma
+ ${H5Hut_LIBRARY}
+ ${HDF5_LIBRARY}
+ z
+ mpi
+ mpi_cxx
+ dl
+)
+
+ADD_EXECUTABLE( opal2sdds main.cpp )
+TARGET_LINK_LIBRARIES( opal2sdds ${SDDS_LIBS} )
+
+INSTALL(TARGETS opal2sdds RUNTIME DESTINATION "${CMAKE_INSTALL_PREFIX}/bin")
\ No newline at end of file
diff --git a/tools/opal2sdds/config.h.in b/tools/opal2sdds/config.h.in
new file mode 100644
index 0000000000000000000000000000000000000000..5855b08d1f32ceaa549066af74ca72d3468169a8
--- /dev/null
+++ b/tools/opal2sdds/config.h.in
@@ -0,0 +1,2 @@
+#define VERSION_MAJOR ${OPAL2SDDS_VERSION_MAJOR}
+#define VERSION_MINOR ${OPAL2SDDS_VERSION_MINOR}
\ No newline at end of file
diff --git a/tools/opal2sdds/main.cpp b/tools/opal2sdds/main.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..cf737bebaded6c6356c7409fc422ee05ef9f0f95
--- /dev/null
+++ b/tools/opal2sdds/main.cpp
@@ -0,0 +1,321 @@
+#include "config.h"
+#include "mdb.h"
+#include "SDDS.h"
+#include "H5hut.h"
+
+#include <string>
+#include <vector>
+#include <set>
+#include <iostream>
+#include <iomanip>
+#include <fstream>
+#include <cstring>
+
+struct Attribute {
+ std::string name;
+ std::string unit;
+ std::vector<double> value;
+
+ bool operator< (const Attribute& at) const {
+ return this->name < at.name;
+ }
+};
+
+typedef std::map<std::string, std::vector<double> > data_t;
+typedef std::set<Attribute> attributes_t;
+
+#define REPORTONERROR(rc) reportOnError(rc, __FILE__, __LINE__)
+#define READDATA(type, file, name, value) REPORTONERROR(H5PartReadData##type(file, name, value));
+#define READFILEATTRIB(type, file, name, value) REPORTONERROR(H5ReadFileAttrib##type(file, name, value));
+#define READSTEPATTRIB(type, file, name, value) REPORTONERROR(H5ReadStepAttrib##type(file, name, value));
+
+enum FORMAT {
+ BINARY = SDDS_BINARY,
+ ASCII = SDDS_ASCII
+};
+
+data_t readStepData(h5_file_t *file);
+attributes_t readStepAttributes(h5_file_t *file);
+void readH5HutFile(const std::string &fname, size_t step, data_t &data, attributes_t &attr);
+void convertToElegantUnits(data_t &data);
+void writeSDDSFile(const std::string &fname, const data_t &data, const attributes_t &attr, FORMAT form);
+void printInfo(const std::string &input);
+void printUsage(char **argv);
+
+int main(int argc, char **argv) {
+ MPI_Init(&argc, &argv);
+
+ std::string inputFile(""), outputFile("/dev/stdout");
+ bool doPrintInfo = false;
+ int step = -1;
+ FORMAT form = ASCII;
+
+ if (argc == 1) {
+ printUsage(argv);
+ return 0;
+ }
+ if (argc == 2 && std::string(argv[1]).substr(0, 2) != "--") {
+ inputFile = std::string(argv[1]);
+
+ } else {
+ for (int i = 1; i < argc; ++ i) {
+ if (std::string(argv[i]) == "--input" && i + 1 < argc) {
+ inputFile = std::string(argv[++ i]);
+ } else if (std::string(argv[i]) == "--output" && i + 1 < argc) {
+ outputFile = std::string(argv[++ i]);
+ } else if (std::string(argv[i]) == "--step" && i + 1 < argc) {
+ step = atoi(argv[++ i]);
+ } else if (std::string(argv[i]) == "--binary") {
+ form = BINARY;
+ } else if (std::string(argv[i]) == "--help") {
+ printUsage(argv);
+ return 0;
+ } else if (std::string(argv[i]) == "--info") {
+ doPrintInfo = true;
+ } else {
+ inputFile = std::string(argv[i]);
+ }
+ }
+ }
+
+ if (inputFile == "") {
+ std::cerr << "Error: no input file provided!\n" << std::endl;
+ printUsage(argv);
+ return 1;
+ }
+
+ if (doPrintInfo) {
+ printInfo(inputFile);
+ return 1;
+ }
+
+ data_t data;
+ attributes_t attr;
+ readH5HutFile(inputFile, step, data, attr);
+ convertToElegantUnits(data);
+ writeSDDSFile(outputFile, data, attr, form);
+
+ return 0;
+}
+
+void reportOnError(h5_int64_t rc, const char* file, int line) {
+ if (rc != H5_SUCCESS)
+ std::cerr << "H5 rc= " << rc << " in " << file << " @ line " << line << std::endl;
+}
+
+void readH5HutFile(const std::string &fname, size_t step, data_t &data, attributes_t &attr) {
+ h5_file_t *file = H5OpenFile(fname.c_str(), H5_FLUSH_STEP | H5_O_RDONLY, MPI_COMM_WORLD);
+ h5_ssize_t numStepsInSource = H5GetNumSteps(file);
+ h5_ssize_t readStep = (step > (size_t)(numStepsInSource - 1)? numStepsInSource - 1: step);
+
+ REPORTONERROR(H5SetStep(file, readStep));
+
+ data = readStepData(file);
+ attr = readStepAttributes(file);
+ REPORTONERROR(H5CloseFile(file));
+}
+
+data_t readStepData(h5_file_t *file) {
+ data_t data;
+
+ h5_ssize_t numParticles = H5PartGetNumParticles(file);
+
+ std::vector<h5_float64_t> buffer(numParticles);
+ h5_float64_t *f64buffer = &buffer[0];
+ data_t::mapped_type dData(numParticles);
+
+ READDATA(Float64, file, "x", f64buffer);
+ for(long int n = 0; n < numParticles; ++ n) {
+ dData[n] = f64buffer[n];
+ }
+ data.insert(std::make_pair(std::string("x"), dData));
+
+ READDATA(Float64, file, "y", f64buffer);
+ for(long int n = 0; n < numParticles; ++ n) {
+ dData[n] = f64buffer[n];
+ }
+ data.insert(std::make_pair(std::string("y"), dData));
+
+ READDATA(Float64, file, "z", f64buffer);
+ for(long int n = 0; n < numParticles; ++ n) {
+ dData[n] = f64buffer[n];
+ }
+ data.insert(std::make_pair(std::string("z"), dData));
+
+ READDATA(Float64, file, "px", f64buffer);
+ for(long int n = 0; n < numParticles; ++ n) {
+ dData[n] = f64buffer[n];
+ }
+ data.insert(std::make_pair(std::string("px"), dData));
+
+ READDATA(Float64, file, "py", f64buffer);
+ for(long int n = 0; n < numParticles; ++ n) {
+ dData[n] = f64buffer[n];
+ }
+ data.insert(std::make_pair(std::string("py"), dData));
+
+ READDATA(Float64, file, "pz", f64buffer);
+ for(long int n = 0; n < numParticles; ++ n) {
+ dData[n] = f64buffer[n];
+ }
+ data.insert(std::make_pair(std::string("pz"), dData));
+
+ return data;
+}
+Attribute readAttribute(h5_file_t *file,
+ const std::string &name,
+ const std::string &H5name,
+ unsigned int numComponents) {
+ h5_float64_t f64buffer[3];
+ char cbuffer[128];
+ std::string H5unit = H5name + "Unit";
+
+ Attribute attr;
+ attr.name = name;
+ READFILEATTRIB(String, file, H5unit.c_str(), cbuffer);
+ attr.unit = std::string(cbuffer);
+ READSTEPATTRIB(Float64, file, H5name.c_str(), f64buffer);
+ for (unsigned int d = 0; d < numComponents; ++ d)
+ attr.value.push_back(f64buffer[d]);
+
+ return attr;
+}
+
+attributes_t readStepAttributes(h5_file_t *file) {
+ attributes_t attr;
+
+ attr.insert(readAttribute(file, "energy", "ENERGY", 1));
+ attr.insert(readAttribute(file, "charge", "CHARGE", 1));
+ attr.insert(readAttribute(file, "path_length", "SPOS", 1));
+ attr.insert(readAttribute(file, "time", "TIME", 1));
+
+ return attr;
+}
+
+void convertToElegantUnits(data_t &data) {
+ const size_t size = data["x"].size();
+
+ for (size_t i = 0; i < size; ++ i) {
+ data["px"][i] /= data["pz"][i];
+ data["py"][i] /= data["pz"][i];
+ data["z"][i] /= -299792458.0;
+ }
+}
+
+void writeSDDSFile(const std::string &fname, const data_t &data, const attributes_t &attr, FORMAT form) {
+ const std::map<std::string, std::string> nameConversion {{"x", "x"},
+ {"y", "y"},
+ {"t", "z"},
+ {"xp", "px"},
+ {"yp", "py"},
+ {"p", "pz"}};
+ const std::map<std::string, std::string> nameUnits {{"x", "m"},
+ {"y", "m"},
+ {"t", "s"},
+ {"xp", "1"},
+ {"yp", "1"},
+ {"p", "beta * gamma"}};
+ SDDS_DATASET SDDS_dataset;
+ const long rows = data.at("x").size();
+ std::vector<std::vector<double> > fileData;
+
+ char buffer[256];
+ strcpy(buffer, fname.c_str());
+ if (SDDS_InitializeOutput(&SDDS_dataset, form, 1, "extracted OPAL data", NULL, buffer ) != 1) {
+ std::cerr << "Error: couldn't open file '" << fname << "'\n" << std::endl;
+ std::exit(1);
+ }
+
+ for (auto at: attr) {
+ std::cerr << at.name << "\t" << at.unit << std::endl;
+ if (SDDS_DefineSimpleParameter(&SDDS_dataset, at.name.c_str(), at.unit.c_str(), SDDS_DOUBLE) != 1) {
+ std::cerr << "Error: couldn't append parameter '" << at.name << "'\n" << std::endl;
+ std::exit(1);
+ }
+ }
+
+ for (auto names: nameConversion) {
+ if (SDDS_DefineSimpleColumn(&SDDS_dataset, names.first.c_str(), nameUnits.at(names.first).c_str(), SDDS_DOUBLE) != 1) {
+ std::cerr << "Error: couldn't append column '" << names.first << "'\n" << std::endl;
+ std::exit(1);
+ }
+ }
+
+ if (SDDS_WriteLayout(&SDDS_dataset) != 1) {
+ std::cerr << "Error: couldn't write layout\n" << std::endl;
+ std::exit(1);
+ }
+
+ if (SDDS_StartPage(&SDDS_dataset, rows) != 1) {
+ std::cerr << "Error: couldn't start page\n" << std::endl;
+ std::exit(1);
+ }
+
+ for (auto at: attr) {
+ if (SDDS_SetParameters(&SDDS_dataset, SDDS_SET_BY_NAME | SDDS_PASS_BY_VALUE,
+ at.name.c_str(), at.value[0], NULL) != 1) {
+ std::cerr << "Error: couldn't write parameter '" << at.name << "'\n" << std::endl;
+ std::exit(1);
+ }
+ }
+
+ for (long i = 0; i < rows; ++ i) {
+ if (SDDS_SetRowValues(&SDDS_dataset, SDDS_SET_BY_NAME | SDDS_PASS_BY_VALUE, i,
+ "x", data.at(nameConversion.at("x"))[i],
+ "y", data.at(nameConversion.at("y"))[i],
+ "t", data.at(nameConversion.at("t"))[i],
+ "xp", data.at(nameConversion.at("xp"))[i],
+ "yp", data.at(nameConversion.at("yp"))[i],
+ "p", data.at(nameConversion.at("p"))[i],
+ NULL) != 1) {
+ std::cerr << "Error: couldn't add row\n" << std::endl;
+ std::exit(1);
+ }
+ }
+
+ if (SDDS_WritePage(&SDDS_dataset) != 1) {
+ std::cerr << "Error: couldn't write page\n" << std::endl;
+ std::exit(1);
+ }
+
+ if (SDDS_Terminate(&SDDS_dataset) != 1) {
+ std::cerr << "Error: couldn't terminate properly\n" << std::endl;
+ std::exit(1);
+ }
+}
+
+void printInfo(const std::string &input) {
+ h5_file_t *file = H5OpenFile(input.c_str(), H5_FLUSH_STEP | H5_O_RDONLY, MPI_COMM_WORLD);
+ h5_ssize_t numStepsInSource = H5GetNumSteps(file);
+
+ std::cout << std::left << std::setw(15) << "Step number" << std::setw(15) << "Position [m]" << std::endl;
+ std::cout << std::setfill('-') << std::setw(29) << "-" << std::endl;
+ std::cout << std::setfill(' ');
+ for (h5_ssize_t i = 0; i < numStepsInSource; ++ i) {
+ REPORTONERROR(H5SetStep(file, i));
+ double spos;
+ READSTEPATTRIB(Float64, file, "SPOS", &spos);
+ std::cout << std::setw(15) << i << std::setw(15) << std::setprecision(5) << spos << std::endl;
+ }
+ REPORTONERROR(H5CloseFile(file));
+}
+
+void printUsage(char **argv) {
+ std::string name(argv[0]), indent(" ");
+ name = name.substr(name.find_last_of('/') + 1);
+ unsigned int width = 25;
+ std::cout << name << " version " << VERSION_MAJOR << "." << VERSION_MINOR << "\n"
+ << "Usage\n\n"
+ << indent << name << " [options] <path to input>\n\n"
+ << "Options\n\n"
+ << indent << std::setw(width) << std::left << "--input <path to input>" << "= path to input file\n"
+ << indent << std::setw(width) << std::left << "--output <file name>" << "= name of output. If omitted, directed\n"
+ << indent << std::setw(width + 2) << " " << "to stdout\n"
+ << indent << std::setw(width) << std::left << "--step <step number>" << "= step of the H5Hut file that should be\n"
+ << indent << std::setw(width + 2) << " " << "exported. Default: last step\n"
+ << indent << std::setw(width) << std::left << "--binary" << "= whether SDDS output should be in \n"
+ << indent << std::setw(width + 2) << std::left << " " << "binary format. Default: ASCII\n"
+ << indent << std::setw(width) << std::left << "--info" << "= printing path length corresponding to step\n"
+ << indent << std::setw(width) << std::left << "--help" << "= this help\n"
+ << std::endl;
+}
\ No newline at end of file
diff --git a/tools/sdds2opal/CMakeLists.txt b/tools/sdds2opal/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b0eec1795010c4dced2a2bd9ec455384a71fe6ee
--- /dev/null
+++ b/tools/sdds2opal/CMakeLists.txt
@@ -0,0 +1,27 @@
+CMAKE_MINIMUM_REQUIRED (VERSION 2.8.10)
+PROJECT (SDDS2OPAL)
+SET (SDDS2OPAL_VERSION_MAJOR 0)
+SET (SDDS2OPAL_VERSION_MINOR 1)
+
+configure_file(config.h.in ${CMAKE_CURRENT_SOURCE_DIR}/config.h)
+
+INCLUDE_DIRECTORIES (
+ ${SDDS_INCLUDE_DIR}
+)
+
+LINK_DIRECTORIES (
+ ${SDDS_LIBRARY_DIR}
+)
+
+SET (SDDS_LIBS
+ mdbcommon
+ SDDS1
+ mdblib
+ lzma
+ z
+)
+
+ADD_EXECUTABLE( sdds2opal main.cpp )
+TARGET_LINK_LIBRARIES( sdds2opal ${SDDS_LIBS} )
+
+INSTALL(TARGETS sdds2opal RUNTIME DESTINATION "${CMAKE_INSTALL_PREFIX}/bin")
\ No newline at end of file
diff --git a/tools/sdds2opal/config.h.in b/tools/sdds2opal/config.h.in
new file mode 100644
index 0000000000000000000000000000000000000000..2789392a58defdb771de816630f4f6025bf1cec9
--- /dev/null
+++ b/tools/sdds2opal/config.h.in
@@ -0,0 +1,2 @@
+#define VERSION_MAJOR ${SDDS2OPAL_VERSION_MAJOR}
+#define VERSION_MINOR ${SDDS2OPAL_VERSION_MINOR}
\ No newline at end of file
diff --git a/tools/sdds2opal/main.cpp b/tools/sdds2opal/main.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..fe8017c6cae27aa1dc07442083ab211062550429
--- /dev/null
+++ b/tools/sdds2opal/main.cpp
@@ -0,0 +1,153 @@
+#include "mdb.h"
+#include "SDDS.h"
+
+#include "config.h"
+
+#include <string>
+#include <vector>
+#include <iostream>
+#include <iomanip>
+#include <fstream>
+#include <cstring>
+#include <unistd.h>
+
+std::vector<std::vector<double> > readSDDSFile(std::string fname);
+void printUsage(char **argv);
+
+int main(int argc, char **argv) {
+ std::string inputFile(""), outputFile("/dev/stdout");
+
+ if (argc == 1) {
+ printUsage(argv);
+ return 0;
+ }
+ if (argc == 2 && std::string(argv[1]).substr(0, 2) != "--") {
+ inputFile = std::string(argv[1]);
+
+ } else {
+ for (int i = 1; i < argc; ++ i) {
+ if (std::string(argv[i]) == "--input" && i + 1 < argc) {
+ inputFile = std::string(argv[++ i]);
+ } else if (std::string(argv[i]) == "--output" && i + 1 < argc) {
+ outputFile = std::string(argv[++ i]);
+ } else if (std::string(argv[i]) == "--help") {
+ printUsage(argv);
+ return 0;
+ }
+ }
+ }
+
+ if (inputFile == "") {
+ if (!isatty(fileno(stdin))) {
+ inputFile = "/dev/stdin";
+ } else {
+ std::cerr << "Error: no input file provided!\n" << std::endl;
+ printUsage(argv);
+ return 1;
+ }
+ }
+
+ auto data = readSDDSFile(inputFile);
+ std::ofstream out(outputFile);
+ out.precision(8);
+ out << data.size() << "\n";
+ for (auto row: data) {
+ for (auto column: row)
+ out << std::setw(18) << column;
+ out << "\n";
+ }
+ out.close();
+
+ return 0;
+}
+
+std::vector<std::vector<double> > readSDDSFile(std::string fname) {
+
+ SDDS_DATASET SDDS_dataset;
+ void *columnData;
+ long page, rows;
+ std::vector<std::vector<double> > fileData;
+
+ char buffer[256];
+ strcpy(buffer, fname.c_str());
+ if (SDDS_InitializeInput(&SDDS_dataset, buffer ) != 1) {
+ std::cerr << "Error: couldn't initialize SDDS file\n" << std::endl;
+ std::exit(1);
+ }
+
+ char *columnNames[6];
+ for (unsigned int i = 0; i < 6u; ++ i) {
+ columnNames[i] = new char[3];
+ }
+ strcpy(columnNames[0], "x");
+ strcpy(columnNames[1], "xp");
+ strcpy(columnNames[2], "y");
+ strcpy(columnNames[3], "yp");
+ strcpy(columnNames[4], "t");
+ strcpy(columnNames[5], "p");
+
+ long ids[6];
+ for (unsigned int i = 0; i < 6; ++ i) {
+ ids[i] = SDDS_GetColumnIndex(&SDDS_dataset, columnNames[i]);
+
+ if (ids[i] < 0) {
+ std::cerr << "Error: couldn't get column index of column '" << columnNames[i] << "'\n" << std::endl;
+ std::exit(1);
+ }
+ }
+
+ SDDS_SetColumnsOfInterest(&SDDS_dataset, SDDS_NAME_ARRAY, 6, columnNames);
+ SDDS_DeleteUnsetColumns(&SDDS_dataset);
+
+ page=SDDS_ReadPage(&SDDS_dataset);
+ while (page >= 1) {
+ rows = SDDS_RowCount(&SDDS_dataset);
+ std::vector<std::vector<double> > pageData(rows);
+
+ for (unsigned int i = 0; i < 6; ++ i) {
+
+ columnData = SDDS_GetColumn(&SDDS_dataset, columnNames[i]);
+
+ for (unsigned int j = 0; j < rows; ++ j) {
+ pageData[j].push_back(((double*)columnData)[j]);
+ }
+
+ if (columnData) free(columnData);
+ }
+ fileData.insert(fileData.end(), pageData.begin(), pageData.end());
+
+ page=SDDS_ReadPage(&SDDS_dataset);
+ }
+
+ for (std::vector<double> &row: fileData) {
+ row[1] *= row[5];
+ row[3] *= row[5];
+ row[4] *= -299792458.0;
+ }
+
+ if (SDDS_Terminate(&SDDS_dataset)!=1) {
+ std::cerr << "Error: couldn't terminate SDDS properly\n" << std::endl;
+ std::exit(1);
+ }
+
+ for (unsigned int i = 0; i < 6u; ++ i) {
+ delete[] columnNames[i];
+ }
+
+ return fileData;
+}
+
+void printUsage(char **argv) {
+ std::string name(argv[0]), indent(" ");
+ name = name.substr(name.find_last_of('/') + 1);
+ unsigned int width = 25;
+ std::cout << name << " version " << VERSION_MAJOR << "." << VERSION_MINOR << "\n"
+ << "Usage\n\n"
+ << indent << name << " [options] <path to input>\n\n"
+ << "Options\n\n"
+ << indent << std::setw(width) << std::left << "--input <path to input>" << "= path to input file\n"
+ << indent << std::setw(width) << std::left << "--output <file name>" << "= name of output. If omitted, directed\n"
+ << indent << std::setw(width + 2) << " " << "to stdout\n"
+ << indent << std::setw(width) << std::left << "--help" << "= this help\n"
+ << std::endl;
+}
\ No newline at end of file