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-rw-r--r--doc/IGE369/64_bit.eps2222
-rw-r--r--doc/IGE369/Acknowledgments.tex9
-rw-r--r--doc/IGE369/Bibliography.tex80
-rw-r--r--doc/IGE369/Copyright.tex21
-rw-r--r--doc/IGE369/Fig1.eps4368
-rw-r--r--doc/IGE369/Fig12.eps2240
-rw-r--r--doc/IGE369/Fig2.eps680
-rw-r--r--doc/IGE369/Fig22.eps1794
-rw-r--r--doc/IGE369/Fig3.eps9673
-rw-r--r--doc/IGE369/Fig4a.eps5490
-rw-r--r--doc/IGE369/Fig4b.eps679
-rw-r--r--doc/IGE369/Fig5.eps8204
-rw-r--r--doc/IGE369/Fig6.eps559
-rw-r--r--doc/IGE369/Fig9.eps1513
-rw-r--r--doc/IGE369/Fig99.eps629
-rw-r--r--doc/IGE369/GuideBW.sty213
-rw-r--r--doc/IGE369/GuideCOL.sty199
-rw-r--r--doc/IGE369/IGE369.tex55
-rw-r--r--doc/IGE369/IGNrapport.sty575
-rw-r--r--doc/IGE369/Nuclear.sty47
-rw-r--r--doc/IGE369/Section1.tex2417
-rw-r--r--doc/IGE369/Section2.tex553
-rw-r--r--doc/IGE369/Summary.tex34
-rw-r--r--doc/IGE369/biblis.eps521
-rwxr-xr-xdoc/IGE369/compo.eps470
-rw-r--r--doc/IGE369/hexS30.eps512
-rw-r--r--doc/IGE369/iaea2d.eps510
-rw-r--r--doc/IGE369/iaea3d.eps630
-rwxr-xr-xdoc/IGE369/install44
-rw-r--r--doc/IGE369/lmw.eps418
-rw-r--r--doc/IGE369/nodal_update.epsbin0 -> 1484502 bytes
-rw-r--r--doc/IGE369/scat.eps466
-rw-r--r--doc/IGE369/trivac3.epsbin0 -> 1023138 bytes
33 files changed, 45825 insertions, 0 deletions
diff --git a/doc/IGE369/64_bit.eps b/doc/IGE369/64_bit.eps
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+<?xpacket end="w"?> %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def /foureq {4 index eq 8 1 roll 4 index eq 8 1 roll 4 index eq 8 1 roll 4 index eq 8 1 roll pop pop pop pop and and and} def hascolor {/band 0 def} {/band 5 def} ifelse /setcmykcolor where {pop 1 0 0 0 setcmykcolor _currentgray 1 exch sub 0 1 0 0 setcmykcolor _currentgray 1 exch sub 0 0 1 0 setcmykcolor _currentgray 1 exch sub 0 0 0 1 setcmykcolor _currentgray 1 exch sub 4 {4 copy} repeat 1 0 0 0 foureq {/band 1 store} if 0 1 0 0 foureq {/band 2 store} if 0 0 1 0 foureq {/band 3 store} if 0 0 0 1 foureq {/band 4 store} if 0 0 0 0 foureq {/band 6 store} if} if blank {/band 6 store} if gsave % Image Header gsave /rows 177 def /cols 150 def 150 177 scale level2 { band 0 eq { /DeviceRGB } {/DeviceGray} ifelse setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /picstr1 150 string def /picstr2 150 string def /picstr3 150 string def /picstr4 150 string def /_rowpadstr 150 string def /rawreaddata {hasDecodeFile 0 eq {/decodeFile currentfile /ASCII85Decode filter def /hasDecodeFile 1 def} if decodeFile exch readstring pop} def /padreaddata { _topPad 0 gt { /_topPad _topPad 1 sub def pop _rowpadstr } { _subImageRows 0 gt { /_subImageRows _subImageRows 1 sub def dup _leftPad _picsubstr rawreaddata putinterval } { pop _rowpadstr } ifelse } ifelse } def /image2 level2 {/image load def} {{begin Width Height BitsPerComponent ImageMatrix Decode length 2 eq {/DataSource load image} if Decode length 6 eq {DataSource 0 get DataSource 1 get DataSource 2 get true 3 colorimage} if Decode length 8 eq {DataSource 0 get DataSource 1 get DataSource 2 get DataSource 3 get true 4 colorimage} if end} def} ifelse /_image2 level2 {/_image load def} {{begin Width Height BitsPerComponent ImageMatrix /DataSource load _image end} def} ifelse /beginimage level2 {{ band 0 eq band 4 eq or band 5 eq or {image2} {negative {{pop 0}} {{pop 1}} ifelse _settransfer _image2} ifelse } def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 lineto 1 0 lineto fill 0 setgray 0 1 translate 1 cols div 1 rows div scale /ratio {cols 400 div mul} def /Helvetica findfont 15 ratio scalefont setfont 5 ratio -20 ratio moveto (ASCII85 encoded image needs PostScript Level 2) show /x 128 string def {currentfile x readline {} {pop exit} ifelse (~>) search {pop pop pop exit} {pop} ifelse } loop } def} ifelse /hasDecodeFile 0 def /readdata /rawreaddata load bind def 12 dict begin /ImageType 1 def /Width cols def /Height rows def /ImageMatrix [cols 0 0 rows neg 0 rows] def /BitsPerComponent 8 def band 0 eq {/Decode [0 1 0 1 0 1] def /MultipleDataSources true def /DataSource [ {picstr1 readdata} {picstr2 readdata} {picstr3 readdata picstr4 readdata pop} ] def} {/Decode [0 1] def /DataSource { picstr1 readdata pop picstr2 readdata pop picstr3 readdata pop picstr4 readdata } def} ifelse currentdict end %%BeginBinary: 134805 beginimage s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!q"Xmhs8Moms8W-!s8Mrns8W-!
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diff --git a/doc/IGE369/Acknowledgments.tex b/doc/IGE369/Acknowledgments.tex
new file mode 100644
index 0000000..7de3668
--- /dev/null
+++ b/doc/IGE369/Acknowledgments.tex
@@ -0,0 +1,9 @@
+\section*{Acknowledgments}
+
+The computer code TRIVAC results from a concerted effort made at \'{E}cole Polytechnique de
+Montr\'{e}al. The main authors of this report would therefore like to express their thanks to
+\'{E}cole Polytechnique de Montr\'{e}al for its support along the years as well as to
+the graduate students and research associates which have contributed to the development of
+TRIVAC along the years. Finally, the TRIVAC team would never have survived without the financial
+support of the Natural Science and Engineering Research Council of Canada (NSERC),
+Hydro--Qu\'{e}bec and Atomic Energy of Canada Limited (AECL).
diff --git a/doc/IGE369/Bibliography.tex b/doc/IGE369/Bibliography.tex
new file mode 100644
index 0000000..6ca5838
--- /dev/null
+++ b/doc/IGE369/Bibliography.tex
@@ -0,0 +1,80 @@
+\begin{thebibliography}{99}
+
+\bibitem{PIP2009}
+A. H\'EBERT, {\sl Applied Reactor Physics}, Second Edition, Presses Internationales Polytechnique, ISBN 978-2-553-01698-1, 396 p., Montr\'eal, 2016.
+
+\bibitem{cle2000}
+R.~ROY, \textsl{The CLE-2000 Tool-Box},
+Report IGE--163, Institut de g\'enie nucl\'eaire, \'{E}cole Polytechnique de Montr\'eal,
+Montr\'{e}al, Qu\'{e}bec (1999).
+
+\bibitem{ganlib5}
+A. H\'EBERT and R.~ROY,
+``The Ganlib5 kernel guide (64--bit clean version),"
+Report IGE-332, \'Ecole Polytechnique de Montr\'eal, January 2013.
+
+\bibitem{bivac}
+A. H\'EBERT, ``Application of the Hermite Method for Finite Element Reactor Calculations," {\sl Nucl. Sci. Eng.}, {\bf 91}, 34 (1985).
+
+\bibitem{SVAT1}
+A. H\'EBERT, ``Variational Principles and Convergence Acceleration Strategies for the Neutron Diffusion Equation,'' {\sl Nucl. Sci. Eng.}, {\bf 91}, 414 (1985).
+
+\bibitem{SVAT2}
+A. H\'EBERT, ``Preconditioning the Power Method for Reactor Calculations,'' {\sl Nucl. Sci. Eng.}, {\bf 94}, 1 (1986).
+
+\bibitem{MCFD}
+A. H\'EBERT, ``Development of the Nodal Collocation Method for Solving the Neutron Diffusion Equation,'' {\sl Ann. Nucl. Energy}, {\bf 14}, 527 (1987).
+
+\bibitem{Trivac}
+A. H\'EBERT, ``TRIVAC, A Modular Diffusion Code for Fuel Management and Design Applications,'' {\sl Nucl. J. of Canada}, Vol. 1, No. 4, 325 (1987).
+
+\bibitem{mixte-dual}
+A. H\'EBERT, ``Application of a Dual Variational Formulation to Finite Element Reactor Calculations,'' {\sl Ann. nucl. Energy}, {\bf 20}, 823 (1993).
+
+\bibitem{nse2005}
+A. H\'EBERT, ``The Search for Superconvergence in Spherical Harmonics Approximations,'' {\sl Nucl. Sci. Eng.}, {\bf 154}, 134 (2006).
+
+\bibitem{ane10a}
+A. H\'EBERT, ``Mixed-dual implementations of the of the simplified $P_n$ method," {\sl Ann. nucl. Energy}, {\bf 37}, 498 (2010).
+
+\bibitem{iram}
+J. BAGLAMA, ``Augmented Block Householder Arnoldi Method,"
+{\sl Linear Algebra Appl.}, {\bf 429}, Issue 10, 2315--2334 (2008).
+
+\bibitem{wilkinson}
+J. H. WILKINSON, ``The Algebraic Eigenvalue Problem,'' {\sl Clarendon Press}, Oxford (1965).
+
+\bibitem{roy}
+R. ROY, Private communication.
+
+\bibitem{monier}
+A. MONIER, ``Application of the Collocation Technique to the Spatial Discretization of the Generalized Quasistatic Method for Nuclear Reactors," Ph. D. Thesis, Polytechnique Montr\'eal, Institut de G\'enie \'Energ\'etique (December 1991).
+
+\bibitem{benaboud}
+A. BENABOUD, ``R\'esolution de l'\'equation de la diffusion neutronique pour une g\'eom\'etrie hexagonale," Ph. D. Thesis, Polytechnique Montr\'eal, Institut de G\'enie \'Energ\'etique (December 1992).
+
+\bibitem{rts}
+A. H\'EBERT, ``A Raviart--Thomas--Schneider solution of the diffusion equation in hexagonal geometry", {\sl Ann. nucl. Energy},
+{\bf 35}, 363 (2008).
+
+\bibitem{recipes}
+W. H. PRESS, S. A. TEUKOLSKY, W. T. VETTERLING and B. P. FLANNERY, ``Numerical Recipes in FORTRAN," Second Edition, Chapter 16, Cambridge University Press (1992).
+
+\bibitem{cronos}
+J. J. LAUTARD, S. LOUBI\`ERE and C. FEDON-MAGNAUD, ``CRONOS, a Computational Modular System for Neutronic Core Calculations," Proc. International Atomic Energy Agency Specialists Mtg. on Advanced Calculational Methods for Power Reactors, Cadarache, France, September 1990.
+
+\bibitem{nestle}
+P. J. TURINSKY, R. M. K. AL-CHALABI, P. ENGRAND, H. N. SARSOUR, F. X. FAURE and W. GUO, ``NESTLE: Few-group neutron diffusion equation solver utilzing the nodal expansion
+method for eigenvalue, adjoint, fixed-source steady-state and transient problem,'' Electric Power Research Center, North Carolina State University, Raleigh, NC 27695-7909 (1994).
+
+\bibitem{anm08}
+A. H\'EBERT, ``A simplified presentation of the multigroup analytic nodal method
+in 2--D Cartesian geometry," {\sl Ann. nucl. Energy}, {\bf 35}, 2142--2149 (2008).
+
+\bibitem{anl}
+``Argonne Code Center: Benchmark Problem Book," ANL-7416, Supp. 2, ID11-A2, Argonne National Laboratory (1977).
+
+\bibitem{greenman}
+G. GREENMAN, ``A Quasi-Static Flux Synthesis Temporal Integration Scheme for an Analytic Nodal Method," Nuclear Engineer's Thesis, Massachusetts Institute of Technology, Department of Nuclear Engineering (May 1980).
+
+\end{thebibliography}
diff --git a/doc/IGE369/Copyright.tex b/doc/IGE369/Copyright.tex
new file mode 100644
index 0000000..5a5f5f8
--- /dev/null
+++ b/doc/IGE369/Copyright.tex
@@ -0,0 +1,21 @@
+\section*{Copyright Notice for TRIVAC}
+
+The development of TRIVAC is financially supported, directly or indirectly, by various
+organizations including \'{E}cole Polytechnique de Montr\'{e}al, Hydro--Qu\'{e}bec and the
+Hydro--Qu\'{e}bec chair in nuclear engineering, the Natural Science and Engineering Research
+Council of Canada (NSERC), Atomic Energy of Canada limited (AECL) and the CANDU Owners Group (COG).
+The code TRIVAC and its users guide are and will remain the property of
+\'{E}cole Polytechnique de Montr\'{e}al.
+
+\vskip 0.15cm
+
+Trivac is free software; you can redistribute it and/or
+modify it under the terms of the GNU Lesser General Public
+License as published by the Free Software Foundation; either
+version 2.1 of the License, or (at your option) any later version.
+
+\vskip 0.15cm
+
+Permission is granted to the public to copy TRIVAC without charge. \'{E}cole Polytechnique de
+Montr\'{e}al, makes no warranty, express or implied, and assumes no liability or responsibility
+for the use of TRIVAC.
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+(C ) [12.996002 0 0 0] 492 191 /Helvetica [ 18 1 mul 0 0 18 0 0 ] [1 0 0 1 -309 438] dotx
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+} bind def
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+(17 ) [9.599998 0 9.599998 0 0 0] 85 228 /Courier [ 16 1 mul 0 0 16 0 0 ] [1 0 0 1 176.671997 329.115845] dotx
+(18 ) [9.599998 0 9.599998 0 0 0] 88 199 /Courier [ 16 1 mul 0 0 16 0 0 ] [1 0 0 1 146.463989 342.527405] dotx
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+(9 ) [10.799988 0 0 0] 292 178 /Courier [ 18 1 mul 0 0 18 0 0 ] [1 0 0 1 -26.802002 346.691681] dotx
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diff --git a/doc/IGE369/GuideBW.sty b/doc/IGE369/GuideBW.sty
new file mode 100644
index 0000000..85b1461
--- /dev/null
+++ b/doc/IGE369/GuideBW.sty
@@ -0,0 +1,213 @@
+% Guide.sty
+% G. Marleau
+% created : 1998/09/18
+% modified: 1999/05/07
+% 1999/05/07
+%
+
+\ProvidesPackage{GuideBW}[1999/09/07]
+\RequirePackage{array,cite,ifthen,longtable}
+\gdef\@GuideVersion{0}
+\newcommand\GuideVersion[1]{\gdef\@GuideVersion{#1}}
+
+%
+% \moc{Keyword}
+% \dds{DragonDataStructure}
+% \dusa{UserData}
+% \dstr{InputStructure}
+% \dir{Directory}
+% \listedir{DirectoryList}
+% \tst{TestCase}
+%
+
+\DeclareRobustCommand{\moc}[1]{\texttt{#1}\index{#1@\texttt{#1}}}
+\DeclareRobustCommand{\dds}[1]{\textsc{#1}\index{#1@\textsc{#1}}}
+\DeclareRobustCommand{\dusa}[1]{\textsl{#1}\index{#1@\textsl{#1}}}
+\DeclareRobustCommand{\dstr}[1]{\textbf{(#1)}\index{#1@\textbf{(#1)}}}
+\DeclareRobustCommand{\dir}[1]{\textrm{/#1/}\index{#1@\textrm{/#1/}}}
+\DeclareRobustCommand{\listedir}[1]{\textrm{\{/#1/\}}\index{#1@\textrm{\{/#1/\}}}}
+\DeclareRobustCommand{\namedir}[1]{\texttt{/#1/}\index{#1@\texttt{/#1/}}}
+\DeclareRobustCommand{\tst}[1]{\textbf{#1}\index{#1@\textbf{#1}}}
+%
+% More commands
+%
+\newcommand{\keff}{\ensuremath{K_{\mathrm{eff}}}}
+\newcommand{\kin}[1]{\ensuremath{\mathrm{Ki}_{#1}}}
+\newcommand{\rv}{\ensuremath{\vec{r}}}
+\newcommand{\Ov}{\ensuremath{\vec{\Omega}}}
+\newcommand{\delv}{\ensuremath{\vec{\nabla}}}
+\newcommand{\nv}{\ensuremath{\vec{N}}}
+\newcommand{\drift}{\ensuremath{\vec{\Omega}\cdot\vec{\nabla}}}
+\newcommand{\Iso}[2]{\ensuremath{^{#2}\mathrm{#1}}}
+\newcommand{\Ltr}{\ensuremath{\mathcal{L}}}
+\newcommand{\Ltrad}{\ensuremath{\mathcal{L}^{\dagger}}}
+\newcommand{\xsunit}{\ensuremath{\mathrm{cm}^{-1}}}
+
+%
+% Environnement DataStructure
+%
+% \begin{DataStructure}{Nom du tableau}
+% \end{DataStructure}}
+%
+%
+
+\newenvironment{DataStructure}[1]{\noindent
+\setlongtables \setlength{\LTleft}{0pt}\setlength{\LTright}{0pt}
+\setlength{\LTcapwidth}{15.0cm}
+\begin{longtable}{|p{15.5cm}|}
+\caption{#1}\\
+\hline
+\multicolumn{1}{|l|}{} \\
+\endfirsthead
+\multicolumn{1}{l}{#1 \hfill continued from last page}\\
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+\multicolumn{1}{|l|}{} \\
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+\multicolumn{1}{|l|}{}\\ \hline
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+\endfoot
+\multicolumn{1}{|l|}{}\\ \hline
+\endlastfoot}
+{\end{longtable} \vskip 0.5cm }
+
+%
+% Environnement DescriptionEnregisterment
+%
+% \begin{DescriptionEnregisterment}{Nom du tableau}{dimension des commentaires}
+% \end{DescriptionEnregisterment}
+%
+% Peut contenir les commandes:
+% \IntEnr{Nom du record}{Dimension}{Commentaires}
+% \OptIntEnr{Nom du record}{Dimension}{Condition}
+% {Commentaires}
+% \RealEnr{Nom du record}{Dimension}{Commentaires}{Unites}
+% \OptRealEnr{Nom du record}{Dimension}{Condition}{Unites}
+% {Commentaires}
+% \DbleEnr{Nom du record}{Dimension}{Commentaires}{Unites}
+% \OptDbleEnr{Nom du record}{Dimension}{Condition}{Unites}
+% {Commentaires}
+% \CharEnr{Nom du record}{Dimension}{Commentaires}
+% \OptCharEnr{Nom du record}{Dimension}{Condition}
+% {Commentaires}
+% \DirEnr{Nom du repertoire}{Dimension}{Commentaires}
+% \OptDirEnr{Nom du repertoire}{Dimension}{Condition}
+% {Commentaires}
+% \DirlEnr{Nom du repertoire}{Dimension}{Commentaires}
+% \OptDirlEnr{Nom du repertoire}{Dimension}{Condition}{Commentaires}
+%
+% \IntVar{Variable associee au Nom du record}{Dimension}{Commentaires}
+% \OptIntVar{Variable associee au Nom du record}{Dimension}{Condition}
+% {Commentaires}
+% \RealVar{Variable associee au Nom du record}{Dimension}{Commentaires}{Unites}
+% \OptRealVar{Variable associee au Nom du record}{Dimension}{Condition}{Unites}
+% {Commentaires}
+% \DbleVar{Variable associee au Nom du record}{Dimension}{Commentaires}{Unites}
+% \OptDbleVar{Variable associee au Nom du record}{Dimension}{Condition}{Unites}
+% {Commentaires}
+% \CharVar{Variable associee au Nom du record}{Dimension}{Commentaires}
+% \OptCharVar{Variable associee au Nom du record}{Dimension}{Condition}
+% {Commentaires}
+% \DirVar{Variable associee au Nom du repertoire}{Dimension}{Commentaires}
+% \OptDirVar{Variable associee au Nom du repertoire}{Dimension}{Condition}
+% {Commentaires}
+%
+%
+
+\newenvironment{DescriptionEnregistrement}[2]{\noindent
+\setlongtables \setlength{\LTleft}{0pt}\setlength{\LTright}{0pt}
+\begin{longtable}{|llll@{\extracolsep{\fill}}p{#2}|}
+\caption{#1}\\
+\hline \hline
+\multicolumn{5}{|l|}{} \\
+Name & Type & Condition &Units &Comment\\
+\multicolumn{5}{|l|}{} \\ \hline
+\multicolumn{5}{|l|}{} \\
+\endfirsthead
+\multicolumn{5}{l}{#1 \hfill continued from last page}\\
+\hline \hline
+\multicolumn{5}{|l|}{} \\
+Name & Type & Condition &Units &Comment\\
+\multicolumn{5}{|l|}{} \\ \hline
+\multicolumn{5}{|l|}{} \\
+\endhead
+\multicolumn{5}{|l|}{}\\ \hline\hline
+\multicolumn{5}{r}{continued on next page}\\
+\endfoot
+\multicolumn{5}{|l|}{}\\ \hline\hline
+\endlastfoot}
+{\end{longtable} \vskip 0.5cm }
+
+
+\newcommand{\IntEnr}[3]{ \texttt{#1} & I(#2) & & &#3 \\}
+\newcommand{\OptIntEnr}[4]{ \texttt{#1} & I(#2) & #3 & &#4 \\}
+\newcommand{\RealEnr}[4]{ \texttt{#1} & R(#2) & & #3 &#4 \\}
+\newcommand{\OptRealEnr}[5]{\texttt{#1} & R(#2) & #3 & #4 &#5 \\}
+\newcommand{\DbleEnr}[4]{ \texttt{#1} & D(#2) & & #3 &#4 \\}
+\newcommand{\OptDbleEnr}[5]{\texttt{#1} & D(#2) & #3 & #4 &#5 \\}
+\newcommand{\CharEnr}[3]{ \texttt{#1} & C#2 & & &#3 \\}
+\newcommand{\OptCharEnr}[4]{\texttt{#1} & C#2 & #3 & &#4 \\}
+\newcommand{\DirEnr}[2]{ \texttt{#1} & Dir & & &#2 \\}
+\newcommand{\OptDirEnr}[3]{ \texttt{#1} & Dir & #2 & &#3 \\}
+\newcommand{\DirlEnr}[3]{ \texttt{#1} & Dir(#2) & & &#3 \\}
+\newcommand{\OptDirlEnr}[4]{\texttt{#1} & Dir(#2) & #3 & &#4 \\}
+
+\newcommand{\IntVar}[3]{ \textsl{#1} & I(#2) & & &#3 \\}
+\newcommand{\OptIntVar}[4]{ \textsl{#1} & I(#2) & #3 & &#4 \\}
+\newcommand{\RealVar}[4]{ \textsl{#1} & R(#2) & & #3 &#4 \\}
+\newcommand{\OptRealVar}[5]{\textsl{#1} & R(#2) & #3 & #4 &#5 \\}
+\newcommand{\DbleVar}[4]{ \textsl{#1} & D(#2) & & #3 &#4 \\}
+\newcommand{\OptDbleVar}[5]{\textsl{#1} & D(#2) & #3 & #4 &#5 \\}
+\newcommand{\CharVar}[3]{ \textsl{#1} & C#2 & & &#3 \\}
+\newcommand{\OptCharVar}[4]{\textsl{#1} & C#2 & #3 & &#4 \\}
+\newcommand{\DirVar}[2]{ \textsl{#1} & Dir & & &#2 \\}
+\newcommand{\OptDirVar}[3]{ \textsl{#1} & Dir & #2 & &#3 \\}
+
+%
+% Environnement ListeDeNotation
+%
+% \begin{ListeDeNotation}{largeur de l'etiquette}
+% \end{ListeDeNotation}
+%
+
+\newlength{\NotationLength}
+\newcommand{\NotationLabel}[1]{\mbox{#1}\hfil}
+\newenvironment{ListeDeNotation}[1]{%
+ \begin{list}{}{\renewcommand{\makelabel}{\NotationLabel}%
+ \setlength{\NotationLength}{#1}%
+ \setlength{\labelwidth}{\NotationLength}%
+ \addtolength{\NotationLength}{\labelsep}%
+ \setlength{\leftmargin}{\NotationLength}%
+ }}{\end{list}}
+%
+% Environnement ListeDeDescription
+%
+% \begin{ListeDeDescription}{Nom le plus large de l'etiquette}
+% \end{ListeDeDescription}
+%
+\newlength{\DescriptionLength}
+\newcommand{\DescriptionLabel}[1]{\mbox{#1}\hfil}
+\newenvironment{ListeDeDescription}[1]{%
+ \begin{list}{}{\renewcommand{\makelabel}{\DescriptionLabel}%
+ \settowidth{\DescriptionLength}{\textbf{#1}}%
+ \setlength{\labelwidth}{\DescriptionLength}%
+ \addtolength{\DescriptionLength}{\labelsep}%
+ \setlength{\leftmargin}{\DescriptionLength}%
+ }}{\end{list}}
+
+
+\newcommand{\Release}[2]{%
+\ifthenelse{\equal{#1}{\@GuideVersion}}%
+{#2 (\textsf{Release #1})}%
+{#2 (\textsf{Release #1})}}
+\newcommand{\Releasetmp}[1]{%
+\ifthenelse{\equal{#1}{\@GuideVersion}}%
+{(\textsf{Release #1})}%
+{(\textsf{Release #1})}}
+\newenvironment{GuideUpdate}[1]{%
+ \hfill\Releasetmp{#1}%
+ \ifthenelse{\equal{#1}{\@GuideVersion}}{}{}}{}
+\newcommand{\BegRel}[1]{%
+\ifthenelse{\equal{#1}{\@GuideVersion}}%
+{}%
+{}}
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diff --git a/doc/IGE369/GuideCOL.sty b/doc/IGE369/GuideCOL.sty
new file mode 100644
index 0000000..66aab30
--- /dev/null
+++ b/doc/IGE369/GuideCOL.sty
@@ -0,0 +1,199 @@
+% Guide.sty
+% G. Marleau
+% created : 1998/09/18
+% modified: 1999/05/07
+% 1999/05/07
+%
+
+\ProvidesPackage{GuideCOL}[1999/09/07]
+\RequirePackage{array,cite,ifthen,longtable,color}
+\gdef\@GuideVersion{0}
+\newcommand\GuideVersion[1]{\gdef\@GuideVersion{#1}}
+\definecolor{Red}{cmyk}{0,1.,1.,0} % PANTONE RED
+\definecolor{Blue}{cmyk}{1.,1.,0,0} % PANTONE BLUE-072
+\definecolor{Black}{cmyk}{0,0,0,1.} % PANTONE PROCESS-BLACK
+
+%
+% \moc{Keyword}
+% \dds{DragonDataStructure}
+% \dusa{UserData}
+% \dstr{InputStructure}
+% \dir{Directory}
+% \listedir{DirectoryList}
+% \tst{TestCase}
+%
+
+\DeclareRobustCommand{\moc}[1]{\texttt{#1}\index{#1@\texttt{#1}}}
+\DeclareRobustCommand{\dds}[1]{\textsc{#1}\index{#1@\textsc{#1}}}
+\DeclareRobustCommand{\dusa}[1]{\textsl{#1}\index{#1@\textsl{#1}}}
+\DeclareRobustCommand{\dstr}[1]{\textbf{(#1)}\index{#1@\textbf{(#1)}}}
+\DeclareRobustCommand{\dir}[1]{\textrm{/#1/}\index{#1@\textrm{/#1/}}}
+\DeclareRobustCommand{\listedir}[1]{\textrm{\{/#1/\}}\index{#1@\textrm{\{/#1/\}}}}
+\DeclareRobustCommand{\namedir}[1]{\texttt{/#1/}\index{#1@\texttt{/#1/}}}
+\DeclareRobustCommand{\tst}[1]{\textbf{#1}\index{#1@\textbf{#1}}}
+
+%
+% Environnement DataStructure
+%
+% \begin{DataStructure}{Nom du tableau}
+% \end{DataStructure}}
+%
+%
+
+\newenvironment{DataStructure}[1]{\noindent
+\setlongtables \setlength{\LTleft}{0pt}\setlength{\LTright}{0pt}
+\setlength{\LTcapwidth}{15.0cm}
+\begin{longtable}{|p{15.5cm}|}
+\caption{#1}\\
+\hline
+\multicolumn{1}{|l|}{} \\
+\endfirsthead
+\multicolumn{1}{l}{#1 \hfill continued from last page}\\
+\hline
+\multicolumn{1}{|l|}{} \\
+\endhead
+\multicolumn{1}{|l|}{}\\ \hline
+\multicolumn{1}{r}{continued on next page}\\
+\endfoot
+\multicolumn{1}{|l|}{}\\ \hline
+\endlastfoot}
+{\end{longtable} \vskip 0.5cm }
+
+%
+% Environnement DescriptionEnregisterment
+%
+% \begin{DescriptionEnregisterment}{Nom du tableau}{dimension des commentaires}
+% \end{DescriptionEnregisterment}
+%
+% Peut contenir les commandes:
+% \IntEnr{Nom du record}{Dimension}{Commentaires}
+% \OptIntEnr{Nom du record}{Dimension}{Condition}
+% {Commentaires}
+% \RealEnr{Nom du record}{Dimension}{Commentaires}{Unites}
+% \OptRealEnr{Nom du record}{Dimension}{Condition}{Unites}
+% {Commentaires}
+% \DbleEnr{Nom du record}{Dimension}{Commentaires}{Unites}
+% \OptDbleEnr{Nom du record}{Dimension}{Condition}{Unites}
+% {Commentaires}
+% \CharEnr{Nom du record}{Dimension}{Commentaires}
+% \OptCharEnr{Nom du record}{Dimension}{Condition}
+% {Commentaires}
+% \DirEnr{Nom du repertoire}{Dimension}{Commentaires}
+% \OptDirEnr{Nom du repertoire}{Dimension}{Condition}
+% {Commentaires}
+%
+% \IntVar{Variable associee au Nom du record}{Dimension}{Commentaires}
+% \OptIntVar{Variable associee au Nom du record}{Dimension}{Condition}
+% {Commentaires}
+% \RealVar{Variable associee au Nom du record}{Dimension}{Commentaires}{Unites}
+% \OptRealVar{Variable associee au Nom du record}{Dimension}{Condition}{Unites}
+% {Commentaires}
+% \DbleVar{Variable associee au Nom du record}{Dimension}{Commentaires}{Unites}
+% \OptDbleVar{Variable associee au Nom du record}{Dimension}{Condition}{Unites}
+% {Commentaires}
+% \CharVar{Variable associee au Nom du record}{Dimension}{Commentaires}
+% \OptCharVar{Variable associee au Nom du record}{Dimension}{Condition}
+% {Commentaires}
+% \DirVar{Variable associee au Nom du repertoire}{Dimension}{Commentaires}
+% \OptDirVar{Variable associee au Nom du repertoire}{Dimension}{Condition}
+% {Commentaires}
+%
+%
+
+\newenvironment{DescriptionEnregistrement}[2]{\noindent
+\setlongtables \setlength{\LTleft}{0pt}\setlength{\LTright}{0pt}
+\begin{longtable}{|llll@{\extracolsep{\fill}}p{#2}|}
+\caption{#1}\\
+\hline \hline
+\multicolumn{5}{|l|}{} \\
+Name & Type & Condition &Units &Comment\\
+\multicolumn{5}{|l|}{} \\ \hline
+\multicolumn{5}{|l|}{} \\
+\endfirsthead
+\multicolumn{5}{l}{#1 \hfill continued from last page}\\
+\hline \hline
+\multicolumn{5}{|l|}{} \\
+Name & Type & Condition &Units &Comment\\
+\multicolumn{5}{|l|}{} \\ \hline
+\multicolumn{5}{|l|}{} \\
+\endhead
+\multicolumn{5}{|l|}{}\\ \hline\hline
+\multicolumn{5}{r}{continued on next page}\\
+\endfoot
+\multicolumn{5}{|l|}{}\\ \hline\hline
+\endlastfoot}
+{\end{longtable} \vskip 0.5cm }
+
+
+\newcommand{\IntEnr}[3]{ \texttt{#1} & I(#2) & & &#3 \\}
+\newcommand{\OptIntEnr}[4]{ \texttt{#1} & I(#2) & #3 & &#4 \\}
+\newcommand{\RealEnr}[4]{ \texttt{#1} & R(#2) & & #3 &#4 \\}
+\newcommand{\OptRealEnr}[5]{\texttt{#1} & R(#2) & #3 & #4 &#5 \\}
+\newcommand{\DbleEnr}[4]{ \texttt{#1} & D(#2) & & #3 &#4 \\}
+\newcommand{\OptDbleEnr}[5]{\texttt{#1} & D(#2) & #3 & #4 &#5 \\}
+\newcommand{\CharEnr}[3]{ \texttt{#1} & C#2 & & &#3 \\}
+\newcommand{\OptCharEnr}[4]{\texttt{#1} & C#2 & #3 & &#4 \\}
+\newcommand{\DirEnr}[2]{ \texttt{#1} & Dir & & &#2 \\}
+\newcommand{\OptDirEnr}[3]{ \texttt{#1} & Dir & #2 & &#3 \\}
+
+\newcommand{\IntVar}[3]{ \textsl{#1} & I(#2) & & &#3 \\}
+\newcommand{\OptIntVar}[4]{ \textsl{#1} & I(#2) & #3 & &#4 \\}
+\newcommand{\RealVar}[4]{ \textsl{#1} & R(#2) & & #3 &#4 \\}
+\newcommand{\OptRealVar}[5]{\textsl{#1} & R(#2) & #3 & #4 &#5 \\}
+\newcommand{\DbleVar}[4]{ \textsl{#1} & D(#2) & & #3 &#4 \\}
+\newcommand{\OptDbleVar}[5]{\textsl{#1} & D(#2) & #3 & #4 &#5 \\}
+\newcommand{\CharVar}[3]{ \textsl{#1} & C#2 & & &#3 \\}
+\newcommand{\OptCharVar}[4]{\textsl{#1} & C#2 & #3 & &#4 \\}
+\newcommand{\DirVar}[2]{ \textsl{#1} & Dir & & &#2 \\}
+\newcommand{\OptDirVar}[3]{ \textsl{#1} & Dir & #2 & &#3 \\}
+
+%
+% Environnement ListeDeNotation
+%
+% \begin{ListeDeNotation}{largeur de l'etiquette}
+% \end{ListeDeNotation}
+%
+
+\newlength{\NotationLength}
+\newcommand{\NotationLabel}[1]{\mbox{#1}\hfil}
+\newenvironment{ListeDeNotation}[1]{%
+ \begin{list}{}{\renewcommand{\makelabel}{\NotationLabel}%
+ \setlength{\NotationLength}{#1}%
+ \setlength{\labelwidth}{\NotationLength}%
+ \addtolength{\NotationLength}{\labelsep}%
+ \setlength{\leftmargin}{\NotationLength}%
+ }}{\end{list}}
+%
+% Environnement ListeDeDescription
+%
+% \begin{ListeDeDescription}{Nom le plus large de l'etiquette}
+% \end{ListeDeDescription}
+%
+\newlength{\DescriptionLength}
+\newcommand{\DescriptionLabel}[1]{\mbox{#1}\hfil}
+\newenvironment{ListeDeDescription}[1]{%
+ \begin{list}{}{\renewcommand{\makelabel}{\DescriptionLabel}%
+ \settowidth{\DescriptionLength}{\textbf{#1}}%
+ \setlength{\labelwidth}{\DescriptionLength}%
+ \addtolength{\DescriptionLength}{\labelsep}%
+ \setlength{\leftmargin}{\DescriptionLength}%
+ }}{\end{list}}
+
+
+\newcommand{\Release}[2]{%
+\ifthenelse{\equal{#1}{\@GuideVersion}}%
+{\color{Red}#2 (\textsf{Release #1})\color{Black}}%
+{\color{Blue}#2 (\textsf{Release #1})\color{Black}}}
+\newcommand{\Releasetmp}[1]{%
+\ifthenelse{\equal{#1}{\@GuideVersion}}%
+{\color{Red}(\textsf{Release #1})\color{Black}}%
+{\color{Blue}(\textsf{Release #1})\color{Black}}}
+\newenvironment{GuideUpdate}[1]{%
+ \hfill\Releasetmp{#1}%
+ \ifthenelse{\equal{#1}{\@GuideVersion}}{\color{Red}}{\color{Blue}}}{\color{Black}}
+\newcommand{\BegRel}[1]{%
+\ifthenelse{\equal{#1}{\@GuideVersion}}%
+{\color{Red}}%
+{\color{Blue}}}
+\newcommand{\EndRel}[0]{\color{Black}}
+
diff --git a/doc/IGE369/IGE369.tex b/doc/IGE369/IGE369.tex
new file mode 100644
index 0000000..bca3dda
--- /dev/null
+++ b/doc/IGE369/IGE369.tex
@@ -0,0 +1,55 @@
+\def\fig(#1){\ref{fig:#1}}
+\def\eq(#1){Eq.~(\ref{eq:#1})}
+\def\bff(#1){\mbox{\boldmath $#1$}}
+\DeclareSymbolFont{AMSb}{U}{msb}{m}{n}
+\DeclareMathSymbol{\shadowA}{\mathbin}{AMSb}{'101}
+\DeclareMathSymbol{\shadowB}{\mathbin}{AMSb}{'102}
+\DeclareMathSymbol{\shadowD}{\mathbin}{AMSb}{'104}
+\documentclass{report}
+%
+% Black and white
+%
+\usepackage{IGNrapport,GuideBW}
+\usepackage{makeidx}
+\setlength{\textheight}{23.5cm}
+\topmargin -1.0cm
+
+\makeindex
+\begin{document}
+
+\title{A USER GUIDE FOR TRIVAC VERSION5}
+
+\author{A.~H\'ebert}
+
+\date{\today}
+
+\RapportIGN{IGE--369}
+
+\GuideVersion{5.00}
+
+\input{Copyright}
+\input{Acknowledgments}
+\input{Summary.tex}
+
+\clearpage
+\phantomsection
+\tableofcontents
+\clearpage
+\phantomsection
+\listoffigures
+\clearpage
+\phantomsection
+\listoftables
+
+\Debutdutexte
+
+\input{Section1.tex}
+\input{Section2.tex}
+\clearpage
+\phantomsection
+\input{Bibliography.tex}
+\clearpage
+\phantomsection
+\printindex
+
+\end{document}
diff --git a/doc/IGE369/IGNrapport.sty b/doc/IGE369/IGNrapport.sty
new file mode 100644
index 0000000..f19a64b
--- /dev/null
+++ b/doc/IGE369/IGNrapport.sty
@@ -0,0 +1,575 @@
+% IGNrapport.sty
+% G. Marleau
+% 1998/09/18
+%
+
+\ProvidesPackage{IGNrapport}[1998/09/18]
+\RequirePackage{array,cite,indentfirst,epsfig,fleqn}
+\RequirePackage{hyperref}
+\hypersetup{colorlinks}
+
+%
+% Definition
+%
+\newcommand{\warningStyle}{\itshape}
+\newcommand{\warningRestore}{\normalfont}
+\newcommand{\ColorComments}[1]{\renewcommand{\warningStyle}{\color{#1}\itshape}
+ \renewcommand{\warningRestore}{\color{Black}\normalfont}}
+\newcommand{\warning}[1]{\warningStyle This option is not supported in #1.\warningRestore}
+
+\newcommand{\sectionformat}[1]{\ifnum \@typerapport=0 {#1} \else {#1} \fi}
+\newcommand{\sectionstyle}[1]{\ifnum \@typerapport=0 {#1} \else {#1} \fi}
+\newcommand{\subsectionstyle}[1]{\ifnum \@typerapport=0 {#1} \else {#1} \fi}
+\gdef\@typerapport{0}
+\gdef\@typesections{0}
+\def\RapportCourt{\gdef\@typerapport{1}}
+\def\refname{References}
+\def\Indexname{Index}
+\gdef\@tableofcontents{Contents}
+\gdef\@listoffigures{List of Figures}
+\gdef\@listoftables{List of Tables}
+\gdef\@listofinput{List of Input Files}
+\gdef\@listoftation{List of Notations and Symbols}
+\gdef\@listofappendix{List of Appendices}
+\def\appendixname{Appendix}
+\def\indexname{{\Indexname}}
+
+\renewcommand\tableofcontents{%
+ \if@twocolumn
+ \@restonecoltrue\onecolumn
+ \else
+ \@restonecolfalse
+ \fi
+ \section*{\@tableofcontents}%
+ \@starttoc{toc}%
+ \if@restonecol\twocolumn\fi
+ }
+\newcommand\listofappendices{%
+ \if@twocolumn
+ \@restonecoltrue\onecolumn
+ \else
+ \@restonecolfalse
+ \fi
+ \section*{\@listofappendix}%
+ \@starttoc{loa}%
+ \if@restonecol\twocolumn\fi
+ }
+\renewcommand\listoffigures{%
+ \if@twocolumn
+ \@restonecoltrue\onecolumn
+ \else
+ \@restonecolfalse
+ \fi
+ \section*{\@listoffigures}%
+ \@starttoc{lof}%
+ \if@restonecol\twocolumn\fi
+ }
+\renewcommand\listoftables{%
+ \if@twocolumn
+ \@restonecoltrue\onecolumn
+ \else
+ \@restonecolfalse
+ \fi
+ \section*{\@listoftables}%
+ \@starttoc{lot}%
+ \if@restonecol\twocolumn\fi
+ }
+\newcommand\listofinputdecks{%
+ \if@twocolumn
+ \@restonecoltrue\onecolumn
+ \else
+ \@restonecolfalse
+ \fi
+ \section*{\@listofinput}%
+ \@starttoc{loi}%
+ \if@restonecol\twocolumn\fi
+ }
+
+%
+% References
+%
+\renewenvironment{thebibliography}[1]
+ {\ifnum \@typerapport=0
+ \section*{\refname}
+ \else
+ \section{\refname}
+ \fi
+ \list{\@biblabel{\@arabic\c@enumiv}}%
+ {\settowidth\labelwidth{\@biblabel{#1}}%
+ \leftmargin\labelwidth
+ \advance\leftmargin\labelsep
+ \@openbib@code
+ \usecounter{enumiv}%
+ \let\p@enumiv\@empty
+ \renewcommand\theenumiv{\@arabic\c@enumiv}}%
+ \sloppy
+ \clubpenalty4000
+ \@clubpenalty \clubpenalty
+ \widowpenalty4000%
+ \sfcode`\.\@m}
+ {\def\@noitemerr
+ {\@latex@warning{Empty `thebibliography' environment}}%
+ \endlist}
+\newenvironment{ListeDesRapports}[1]
+ {\section*{Liste des Rapports}%
+ \list{\@biblabel{\@arabic\c@enumiv}}%
+ {\settowidth\labelwidth{\@biblabel{#1}}%
+ \leftmargin\labelwidth
+ \advance\leftmargin\labelsep
+ \@openbib@code
+ \usecounter{enumiv}%
+ \let\p@enumiv\@empty
+ \renewcommand\theenumiv{\@arabic\c@enumiv}}%
+ \sloppy
+ \clubpenalty4000
+ \@clubpenalty \clubpenalty
+ \widowpenalty4000%
+ \sfcode`\.\@m}
+ {\def\@noitemerr
+ {\@latex@warning{Empty `thebibliography' environment}}%
+ \endlist}
+\renewenvironment{theindex}
+ {\addcontentsline{toc}{section}{\indexname}%
+ \if@twocolumn
+ \@restonecolfalse
+ \else
+ \@restonecoltrue
+ \fi
+ \columnseprule \z@
+ \columnsep 35\p@
+ \twocolumn[\@makesnewsectionhead{\indexname}]%
+ \parindent\z@
+ \parskip\z@ \@plus .3\p@\relax
+ \let\item\@idxitem}
+ {\if@restonecol\onecolumn\else\clearpage\fi}
+
+%
+% Commande de mise en page
+%
+% TitreRapportIGN{Nom du rapport}{auteurs}
+% {numero du rapport IGN}{date}
+%
+
+\setlength{\textheight}{22.0cm}
+\setlength{\textwidth}{16.0cm}
+\setlength{\oddsidemargin}{0.5cm}
+\setlength{\evensidemargin}{0.5cm}
+\setlength{\topmargin}{0cm}
+\setlength{\headheight}{0.5cm}
+\setlength{\headsep}{0.5cm}
+\makeindex
+
+\newcommand{\RapportIGN}[1]{
+ \markright{\normalfont \slshape #1}
+ \pagestyle{myheadings}
+ \pagetitreRapportIGN{#1}
+ \pagenumbering{roman}
+ \setcounter{page}{1}\clearpage}
+
+\newcommand{\TitreRapportIGN}[4]{
+ \markright{\normalfont \slshape #3}
+ \pagestyle{myheadings}
+ \pagetitreIGN{#1}{#2}{#3}{#4}
+ \pagenumbering{roman}
+ \setcounter{page}{1}\clearpage}
+
+\newcommand{\SectionFigures}[0]{\clearpage
+\vspace*{5.0in}
+\begin{center}
+{\bfseries \Large FIGURES}
+\end{center}}
+
+\newcommand{\pagetitreRapportIGN}[1]{%
+\noindent\parbox{\textwidth}{\hfill \bfseries \large TECHNICAL REPORT}
+\parbox{\textwidth}{\hfill \bfseries \large {#1}}
+\thispagestyle{empty}
+\vskip 5.0cm
+\begin{center}
+{\bfseries \Large \@title}
+\vskip 3.0cm
+{\scshape \Large \@author}
+\end{center}
+\vfill
+\noindent
+\parbox{\textwidth}{\hfill Institut de g\'enie nucl\'eaire}
+\parbox{\textwidth}{\hfill D\'epartement de g\'enie m\'ecanique}
+\parbox{\textwidth}{\hfill \'Ecole Polytechnique de Montr\'eal}
+\parbox{\textwidth}{\hfill \@date}
+\begin{picture}(10,0)(0,50)
+ \put(0.5,50){\includegraphics[height=2cm]{64_bit.eps}}
+\end{picture}
+}
+
+\newcommand{\pagetitreIGN}[4]{%
+\noindent\parbox{\textwidth}{\hfill \bfseries \large TECHNICAL REPORT}
+\parbox{\textwidth}{\hfill \bfseries \large {#3}}
+\thispagestyle{empty}
+\vskip 5.0cm
+\begin{center}
+{\bfseries \large \MakeUppercase{#1}}
+\vskip 3.0cm
+{\scshape #2}
+\end{center}
+\vfill
+\noindent
+\parbox{\textwidth}{\hfill Institut de g\'enie nucl\'eaire}
+\parbox{\textwidth}{\hfill D\'epartement de g\'enie m\'ecanique}
+\parbox{\textwidth}{\hfill \'Ecole Polytechnique de Montr\'eal}
+\parbox{\textwidth}{\hfill #4}}
+
+\newcommand{\Debutdutexte}{\clearpage
+\pagenumbering{arabic}
+\setcounter{page}{1}}
+
+\setcounter{tocdepth}{3}
+\renewcommand{\thesection}{\@arabic\c@section}
+\renewcommand{\thesubsection}{\thesection.\@arabic\c@subsection}
+\renewcommand{\thesubsubsection}{\thesubsection.\@arabic\c@subsubsection}
+\@addtoreset {equation}{section}
+\renewcommand{\theequation}{\thesection.\@arabic\c@equation}
+
+
+\renewcommand\section{\if@openright
+ \cleardoublepage
+ \else
+ \ifnum\@typerapport=0
+ \clearpage
+ \else
+ \vspace{0.5cm}
+ \fi
+ \fi
+ \global\@topnum\z@
+ \@afterindentfalse
+ \secdef\@newsection\@snewsection}
+\def\@newsection[#1]#2{\refstepcounter{section}%
+ \typeout{Section \space\thesection.}%
+ \addcontentsline{toc}{section}%
+ {\protect\numberline{\thesection}\sectionformat{#1}}%
+ \if@twocolumn
+ \@topnewpage[\@makenewsectionhead{#2}]%
+ \else
+ \@makenewsectionhead{#2}\@afterheading
+ \fi}
+\def\@makenewsectionhead#1{%
+ {\parindent \z@ \raggedright \normalfont
+ \interlinepenalty\@M
+ \large\bfseries \thesection \space \sectionformat{#1} \par\nobreak
+ \vskip 20\p@
+ }}
+\def\@snewsection#1{\addcontentsline{toc}{section}{\sectionformat{#1}}%
+ \if@twocolumn
+ \@topnewpage[\@makesnewsectionhead{#1}]%
+ \else
+ \@makesnewsectionhead{#1}\@afterheading
+ \fi}
+\def\@makesnewsectionhead#1{%
+ {\parindent \z@ \raggedright \normalfont
+ \interlinepenalty\@M
+ \centerline{\large\bfseries \sectionformat{#1}}\par\nobreak
+ \vskip 20\p@
+ }}
+
+\renewcommand{\subsection}{\@startsection{subsection}{2}{\z@}%
+ {-3.25ex\@plus -1ex \@minus -.2ex}%
+ {1.5ex \@plus .2ex}%
+ {\normalfont\normalsize\bfseries}}
+
+\renewcommand{\subsubsection}{\global\@topnum\z@
+ \@afterindentfalse
+ \secdef\@newsssection\@snewsssection}
+
+\def\@newsssection[#1]#2{\refstepcounter{subsubsection}%
+ \addcontentsline{toc}{subsubsection}%
+ {\protect\numberline{\thesubsubsection}#1}%
+ \if@twocolumn
+ \@topnewpage[\@makenewsssectionhead{#2}]%
+ \else
+ \@makenewsssectionhead{#2}\@afterheading
+ \fi}
+\def\@makenewsssectionhead#1{%
+ {\vskip 20\p@
+ \parindent \z@ \raggedright
+ \interlinepenalty\@M
+ \normalfont\normalsize\slshape \thesubsubsection \space #1\par\nobreak
+ \vskip 20\p@
+ }}
+\def\@snewsssection#1{\addcontentsline{toc}{subsubsection}{#1}%
+ \if@twocolumn
+ \@topnewpage[\@makesnewsssectionhead{#1}]%
+ \else
+ \@makesnewsssectionhead{#1}\@afterheading
+ \fi}
+\def\@makesnewsssectionhead#1{%
+ {\vskip 20\p@ \parindent \z@ \raggedright
+ \interlinepenalty\@M
+ \vskip 20\p@
+ \normalfont\normalsize\slshape #1\par\nobreak
+ \vskip 20\p@
+ }}
+\renewcommand{\paragraph}{\@startsection{paragraph}{4}{\z@}%
+ {-3.25ex\@plus -1ex \@minus -.2ex}%
+ {1.5ex \@plus .2ex}%
+ {\normalfont\normalsize\sffamily\bfseries}}
+
+\newcommand\appendices{\par
+ \setcounter{chapter}{0}%
+ \setcounter{section}{0}%
+ \renewcommand{\thesection}{\@Alph\c@section}
+ \renewcommand{\thesubsection}{\thesection.\@arabic\c@subsection}
+ \renewcommand{\thesubsubsection}{\thesection.\@arabic\c@subsubsection}}
+
+
+\renewcommand\appendix{\if@openright\cleardoublepage\else\ifnum\@typerapport=0\clearpage\fi\fi
+ \global\@topnum\z@
+ \@afterindentfalse
+ \secdef\@newappendix\@snewappendix}
+\newcommand{\subappendix}{\@startappendices{subsection}{2}{\z@}%
+ {-3.25ex\@plus -1ex \@minus -.2ex}%
+ {1.5ex \@plus .2ex}%
+ {\normalfont\normalsize\bfseries}}
+\newcommand{\subsubappendix}{\@startappendices{subsubsection}{3}{\z@}%
+ {-3.25ex\@plus -1ex \@minus -.2ex}%
+ {1.5ex \@plus .2ex}%
+ {\normalfont\normalsize\slshape}}
+\def\@newappendix[#1]#2{\refstepcounter{section}%
+ \typeout{Appendix \space\thesection.}%
+ \addcontentsline{loa}{section}%
+ {\protect\numberline{\thesection}#1}%
+ \if@twocolumn
+ \@topnewpage[\@makenewappendixhead{#2}]%
+ \else
+ \@makenewappendixhead{#2}\@afterheading
+ \fi}
+\def\@makenewappendixhead#1{%
+ {\parindent \z@ \raggedright \normalfont
+ \interlinepenalty\@M
+ \centerline{\large\bfseries Appendix \thesection}\par\nobreak
+ \vskip 20\p@
+ \centerline{ #1}\par\nobreak
+ \vskip 20\p@
+ }}
+\def\@snewappendix#1{\addcontentsline{loa}{section}{#1}%
+ \if@twocolumn
+ \@topnewpage[\@makesnewappendixhead{#1}]%
+ \else
+ \@makesnewappendixhead{#1}\@afterheading
+ \fi}
+\def\@makesnewappendixhead#1{%
+ {\parindent \z@ \raggedright \normalfont
+ \interlinepenalty\@M
+ \centerline{\large\bfseries #1}\par\nobreak
+ \vskip 20\p@
+ }}
+
+\newcommand\InputDecks{\par
+ \setcounter{chapter}{0}%
+ \setcounter{section}{0}%
+ \renewcommand{\thesection}{\@Roman\c@section}
+ \renewcommand{\thesubsection}{\thesection.\@arabic\c@subsection}
+ \renewcommand{\thesubsubsection}{\thesection.\@arabic\c@subsubsection}}
+
+
+\newcommand\inputdeck{\if@openright\cleardoublepage\else\ifnum\@typerapport=0\clearpage\fi\fi
+ \global\@topnum\z@
+ \@afterindentfalse
+ \secdef\@newinputdeck\@snewinputdeck}
+\newcommand{\subinputdeck}{\@startinputdeck{subsection}{2}{\z@}%
+ {-3.25ex\@plus -1ex \@minus -.2ex}%
+ {1.5ex \@plus .2ex}%
+ {\normalfont\normalsize\bfseries}}
+\newcommand{\subsubinputdeck}{\@startinputdeck{subsubsection}{3}{\z@}%
+ {-3.25ex\@plus -1ex \@minus -.2ex}%
+ {1.5ex \@plus .2ex}%
+ {\normalfont\normalsize\slshape}}
+\def\@newinputdeck[#1]#2{\refstepcounter{section}%
+ \typeout{Input deck \space\thesection.}%
+ \addcontentsline{loi}{section}%
+ {\protect\numberline{\thesection}#1}%
+ \if@twocolumn
+ \@topnewpage[\@makenewinputdeckhead{#2}]%
+ \else
+ \@makenewinputdeckhead{#2}\@afterheading
+ \fi}
+\def\@makenewinputdeckhead#1{%
+ {\parindent \z@ \raggedright \normalfont
+ \interlinepenalty\@M
+ \large\bfseries \thesection \space #1\par\nobreak
+ \vskip 20\p@
+ }}
+\def\@snewinputdeck#1{\addcontentsline{loa}{section}{#1}%
+ \if@twocolumn
+ \@topnewpage[\@makesnewinputdeckhead{#1}]%
+ \else
+ \@makesnewinputdeckhead{#1}\@afterheading
+ \fi}
+\def\@makesnewinputdeckhead#1{%
+ {\parindent \z@ \raggedright \normalfont
+ \interlinepenalty\@M
+ \large\bfseries #1\par\nobreak
+ \vskip 20\p@
+ }}
+
+\def\@startappendices#1#2#3#4#5#6{%
+ \if@noskipsec \leavevmode \fi
+ \par
+ \@tempskipa #4\relax
+ \@afterindenttrue
+ \ifdim \@tempskipa <\z@
+ \@tempskipa -\@tempskipa \@afterindentfalse
+ \fi
+ \if@nobreak
+ \everypar{}%
+ \else
+ \addpenalty\@secpenalty\addvspace\@tempskipa
+ \fi
+ \@ifstar
+ {\@sappend{#3}{#4}{#5}{#6}}%
+ {\@dblarg{\@append{#1}{#2}{#3}{#4}{#5}{#6}}}}
+\def\@append#1#2#3#4#5#6[#7]#8{%
+ \ifnum #2>\c@secnumdepth
+ \let\@svsec\@empty
+ \else
+ \refstepcounter{#1}%
+ \protected@edef\@svsec{\@seccntformat{#1}\relax}%
+ \fi
+ \@tempskipa #5\relax
+ \ifdim \@tempskipa>\z@
+ \begingroup
+ #6{%
+ \@hangfrom{\hskip #3\relax\@svsec}%
+ \interlinepenalty \@M #8\@@par}%
+ \endgroup
+ \csname #1mark\endcsname{#7}%
+ \addcontentsline{loa}{#1}{%
+ \ifnum #2>\c@secnumdepth \else
+ \protect\numberline{\csname the#1\endcsname}%
+ \fi
+ #7}%
+ \else
+ \def\@svsechd{%
+ #6{\hskip #3\relax
+ \@svsec #8}%
+ \csname #1mark\endcsname{#7}%
+ \addcontentsline{loa}{#1}{%
+ \ifnum #2>\c@secnumdepth \else
+ \protect\numberline{\csname the#1\endcsname}%
+ \fi
+ #7}}%
+ \fi
+ \@xsect{#5}}
+\def\@sappend#1#2#3#4#5{%
+ \@tempskipa #3\relax
+ \ifdim \@tempskipa>\z@
+ \begingroup
+ #4{%
+ \@hangfrom{\hskip #1}%
+ \interlinepenalty \@M #5\@@par}%
+ \endgroup
+ \else
+ \def\@svsechd{#4{\hskip #1\relax #5}}%
+ \fi
+ \@xsect{#3}}
+
+\def\@startinputdeck#1#2#3#4#5#6{%
+ \if@noskipsec \leavevmode \fi
+ \par
+ \@tempskipa #4\relax
+ \@afterindenttrue
+ \ifdim \@tempskipa <\z@
+ \@tempskipa -\@tempskipa \@afterindentfalse
+ \fi
+ \if@nobreak
+ \everypar{}%
+ \else
+ \addpenalty\@secpenalty\addvspace\@tempskipa
+ \fi
+ \@ifstar
+ {\@sinpd{#3}{#4}{#5}{#6}}%
+ {\@dblarg{\@inpd{#1}{#2}{#3}{#4}{#5}{#6}}}}
+\def\@inpd#1#2#3#4#5#6[#7]#8{%
+ \ifnum #2>\c@secnumdepth
+ \let\@svsec\@empty
+ \else
+ \refstepcounter{#1}%
+ \protected@edef\@svsec{\@seccntformat{#1}\relax}%
+ \fi
+ \@tempskipa #5\relax
+ \ifdim \@tempskipa>\z@
+ \begingroup
+ #6{%
+ \@hangfrom{\hskip #3\relax\@svsec}%
+ \interlinepenalty \@M #8\@@par}%
+ \endgroup
+ \csname #1mark\endcsname{#7}%
+ \addcontentsline{loi}{#1}{%
+ \ifnum #2>\c@secnumdepth \else
+ \protect\numberline{\csname the#1\endcsname}%
+ \fi
+ #7}%
+ \else
+ \def\@svsechd{%
+ #6{\hskip #3\relax
+ \@svsec #8}%
+ \csname #1mark\endcsname{#7}%
+ \addcontentsline{loi}{#1}{%
+ \ifnum #2>\c@secnumdepth \else
+ \protect\numberline{\csname the#1\endcsname}%
+ \fi
+ #7}}%
+ \fi
+ \@xsect{#5}}
+\def\@sinpd#1#2#3#4#5{%
+ \@tempskipa #3\relax
+ \ifdim \@tempskipa>\z@
+ \begingroup
+ #4{%
+ \@hangfrom{\hskip #1}%
+ \interlinepenalty \@M #5\@@par}%
+ \endgroup
+ \else
+ \def\@svsechd{#4{\hskip #1\relax #5}}%
+ \fi
+ \@xsect{#3}}
+
+%
+% Commande pour inserer in fichier de texte en
+% format verbatim
+%
+\def\listfile#1{\goodbreak\vskip 0.5cm\noindent {File: {\tt #1}}
+ \vskip 0.2cm\begingroup\setupverbatim\input #1 \endgroup}
+\def\listing#1{\goodbreak\vskip 0.5cm\noindent {Input data for test case: {\bf #1}}
+ \vskip 0.2cm\begingroup\setupverbatim\input #1 \endgroup}
+\def\setupverbatim{\tt
+ \def\par{\leavevmode\endgraf}\catcode`\`=\active
+ \obeylines\uncatdospecials \obeyspaces}
+{\obeyspaces\global\let =\ }
+\def\uncatdospecials{\def\do##1{\catcode`##1=12 }\dospecials}
+
+\newcommand{\Eq}[1]{Eq.~(\ref{eq:#1})}
+\newcommand{\Eqto}[2]{Eqs.~(\ref{eq:#1}) to~(\ref{eq:#2})}
+\newcommand{\Eqand}[2]{Eqs.~(\ref{eq:#1}) and~(\ref{eq:#2})}
+\newcommand{\Eqor}[2]{Eqs.~(\ref{eq:#1}) or~(\ref{eq:#2})}
+
+\newcommand{\Appen}[1]{Appendix~\ref{appen:#1}}
+\newcommand{\Appento}[2]{Appendices~\ref{appen:#1} to~\ref{appen:#2}}
+\newcommand{\Appenand}[2]{Appendices~\ref{appen:#1} and~\ref{appen:#2}}
+\newcommand{\Appenor}[2]{Appendices~\ref{appen:#1} or~\ref{appen:#2}}
+
+\newcommand{\Sect}[1]{Section~\ref{sect:#1}}
+\newcommand{\Sectto}[2]{Sections~\ref{sect:#1} to~\ref{sect:#2}}
+\newcommand{\Sectand}[2]{Sections~\ref{sect:#1} and~\ref{sect:#2}}
+\newcommand{\Sector}[2]{Sections~\ref{sect:#1} or~\ref{sect:#2}}
+
+\newcommand{\Fig}[1]{Figure~\ref{fig:#1}}
+\newcommand{\Figto}[2]{Figure~\ref{fig:#1} to~\ref{fig:#2}}
+\newcommand{\Figand}[2]{Figure~\ref{fig:#1} and~\ref{fig:#2}}
+\newcommand{\Figor}[2]{Figure~\ref{fig:#1} or~\ref{fig:#2}}
+
+\newcommand{\Tab}[1]{Table~\ref{tab:#1}}
+\newcommand{\Tabto}[2]{Table~\ref{tab:#1} to~\ref{tab:#2}}
+\newcommand{\Taband}[2]{Table~\ref{tab:#1} and~\ref{tab:#2}}
+\newcommand{\Tabor}[2]{Table~\ref{tab:#1} or~\ref{tab:#2}}
+
+\newcounter{nblank}
+\newcommand{\blank}[1]{\setcounter{nblank}{#1}\symbol{32}\whiledo{\value{nblank}>1}{\symbol{32}\addtocounter{nblank}{-1}}}
+\renewcommand{\@cite}[2]{{\textsuperscript{[#1]}\ifthenelse{\boolean{@tempswa}}{,#2}{}}}
diff --git a/doc/IGE369/Nuclear.sty b/doc/IGE369/Nuclear.sty
new file mode 100644
index 0000000..55934f5
--- /dev/null
+++ b/doc/IGE369/Nuclear.sty
@@ -0,0 +1,47 @@
+% Nuclear.sty
+% G. Marleau
+% created : 1998/09/18
+% 1999/05/07
+%
+
+\ProvidesPackage{Nuclear}[1999/09/07]
+
+
+\newcommand{\keff}[1]{\ensuremath{k_{\mathit{eff}}^{\mathit{#1}}}}
+\newcommand{\kinf}[1]{\ensuremath{k_{\infty}^{\mathit{#1}}}}
+\newcommand{\kin}[1]{\ensuremath{\mathrm{Ki}_{#1}}}
+\newcommand{\ki}{\raise0.5ex\hbox{\ensuremath{\chi}}}
+\newcommand{\rv}{\ensuremath{\vec{r}}}
+\newcommand{\rpv}{\ensuremath{\rv\,'}}
+\newcommand{\Rv}{\ensuremath{\vec{R}}}
+\newcommand{\Bv}{\ensuremath{\vec{B}}}
+\newcommand{\Bvet}{\ensuremath{\vec{B^{*}}}}
+\newcommand{\jv}{\ensuremath{\vec{J}}}
+\newcommand{\Ov}{\ensuremath{\vec{\Omega}}}
+\newcommand{\Opv}{\ensuremath{\Ov\,'}}
+\newcommand{\vv}{\ensuremath{\vec{v}}}
+\newcommand{\vpv}{\ensuremath{\vv\,'}}
+\newcommand{\ov}{\ensuremath{\vec{\omega}}}
+\newcommand{\nabv}{\ensuremath{\vec{\nabla}}}
+\newcommand{\delv}{\ensuremath{\vec{\nabla}}}
+\newcommand{\nv}{\ensuremath{\vec{N}}}
+\newcommand{\drift}{\ensuremath{\vec{\Omega}\cdot\vec{\nabla}}}
+\newcommand{\Iso}[2]{\ensuremath{^{#2}\mathrm{#1}}}
+\newcommand{\Den}[1]{\ensuremath{N_{#1}}}
+
+\newcommand{\sign}{\ensuremath{\mathrm{sign}\,}}
+\newcommand{\sigt}{\ensuremath{\Sigma_t}}
+\newcommand{\sigs}{\ensuremath{\Sigma_s}}
+\newcommand{\nusigf}{\ensuremath{\nu\Sigma_f}}
+\newcommand{\Tad}{\ensuremath{T^{\dagger}}}
+\newcommand{\Phiad}{\ensuremath{\Phi^{\dagger}}}
+\newcommand{\varphiad}{\ensuremath{\varphi^{\dagger}}}
+\newcommand{\Tet}{\ensuremath{T^{*}}}
+\newcommand{\Tadet}{\ensuremath{T^{\dagger *}}}
+\newcommand{\psiet}{\ensuremath{\psi^{*}}}
+\newcommand{\varphiet}{\ensuremath{\psi^{*}}}
+\newcommand{\Ltr}{\ensuremath{\mathcal{L}}}
+\newcommand{\Ltrad}{\ensuremath{\mathcal{L}^{\dagger}}}
+\newcommand{\Sct}{\ensuremath{\mathcal{S}}}
+\newcommand{\Sctad}{\ensuremath{\mathcal{S}^{\dagger}} }
+\newcommand{\xsunit}{\ensuremath{\mathrm{cm}^{-1}}}
diff --git a/doc/IGE369/Section1.tex b/doc/IGE369/Section1.tex
new file mode 100644
index 0000000..e41143c
--- /dev/null
+++ b/doc/IGE369/Section1.tex
@@ -0,0 +1,2417 @@
+\section{INPUT DATA SPECIFICATIONS}
+
+\subsection{Syntactic rules for input data specifications}
+
+The input data to any module is read in free format using the subroutine {\tt REDGET}. The rules for specifying the input data are therefore given in this section. The users guide was written using the following conventions:
+
+\begin{itemize}
+
+\item the parameters surrounded by single square brackets `$[\;]$' denote an optional input;
+
+\item the parameters surrounded by double square brackets `$[[\;]]$' denote an optional input which may be repeated as many times as desired;
+
+\item the parameters in braces separated by vertical bars `$\{\; |\; |\; \}$' denote a choice of input where (one and {\sl only} one is mandatory);
+
+\item the parameters in {\bf{bold face}} and in brackets `( )' denote an input structure;
+
+\item the parameters in italics and in brackets with an index `({\it data}(i), i=1,n)' denote a set of n inputs;
+
+\item the words using the typewriter font are character constants {\tt keywordS} used as keywords;
+
+\item the words in italics are user defined variables, they should be lower case and are of type integer (starting with {\it i} to {\it n}) and real (starting with {\it a} to {\it h} or {\it o} to {\it z})
+or of type character in uppercase {\it CHARACTER}.
+
+\end{itemize}
+
+\subsection{The global input structure}
+
+TRIVAC is built around the Ganlib kernel and its modules can be called from CLE-2000.\cite{ganlib5,cle2000} Input data must therefore follow the calling specifications given below:
+
+\begin{DataStructure}{Structure \dstr{TRIVAC}}
+$[$ \moc{LINKED\_LIST} $[[$ \dusa{NAME1} $]]$ \moc{;} $]$ \\
+$[$ \moc{XSM\_FILE} $[[$ \dusa{NAME2} $]]$ \moc{;} $]$ \\
+$[$ \moc{SEQ\_BINARY} $[[$ \dusa{NAME3} $]]$ \moc{;} $]$ \\
+$[$ \moc{SEQ\_ASCII} $[[$ \dusa{NAME4} $]]$ \moc{;} $]$ \\
+$[$ \moc{MODULE} $[[$ \dusa{NAME5} $]]$ \moc{;} $]$ \\
+$[[$ \dstr{specif} $]]$ \\
+\moc{END: ;}
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\dusa{NAME1}] {\tt Character*12} name of a {\sc lcm} object.
+
+\item[\dusa{NAME2}] {\tt Character*12} name of an {\sc xsm} file.
+
+\item[\dusa{NAME3}] {\tt Character*12} name of a sequential binary file.
+
+\item[\dusa{NAME4}] {\tt Character*12} name of a sequential {\sc ascii} file.
+
+\item[\dusa{NAME5}] {\tt Character*12} name of a module.
+
+\item[\dstr{specif}] Input specifications for a single module. Specifications for TRIVAC modules will be given in the following sections.
+
+\end{ListeDeDescription}
+
+The input data always begins with the declaration of each {\sc lcm} object, {\sc xsm}
+file, sequential (binary or {\sc ascii}) file that will be required
+by the following modules. This is followed by the declaration of the modules actually used in the input data deck. The following data describes a sequence of module calls, in the format of the GAN generalized driver. As indicated in Fig.~\fig(trivac3), the modules communicate with each other through {\sc lcm} objects or {\sc xsm} files whose specifications are given in section 2. The TRIVAC user generally has the choice to declare its data structures as {\tt LINKED\_LIST} to reduce CPU time resources or as {\tt XSM\_FILE} to reduce CPU memory resources.
+
+\vskip 0.2cm
+
+The input data always ends with a call to the {\tt END:} module.
+
+\begin{figure}[htbp]
+\begin{center}
+\epsfxsize=16cm
+\centerline{ \epsffile{trivac3.eps}}
+\parbox{14cm}{\caption{The TRIVAC modular approach.}
+\label{fig:trivac3}}
+\end{center}
+\end{figure}
+
+\subsection{The {\tt GEO:} module}
+
+The {\tt GEO:} module is used to create or modify a geometry. The geometry definition module in TRIVAC permits all the characteristics (coordinates, material mixture type indices and boundary conditions) of a simple or complex geometry to be specified. The method used to specify the geometry is independent of the discretization module to be used subsequently. Each geometry is represented by a name ({\tt character*12}) and is saved in a {\sc lcm} object or an {\sc xsm} file under its given name. It is always possible to modify a given existing geometry or copy it into a neighbouring {\sc lcm} object under a new name. The calling specifications are:
+
+\begin{DataStructure}{Structure \dstr{GEO:}}
+$\{$ \dusa{GEOM1} \moc{:=} \moc{GEO: ::} \dstr{geo\_data1} $|$ \\
+\dusa{GEOM1} \moc{:=} \moc{GEO:} $\{$ \dusa{GEOM1} $|$ \dusa{GEOM2} $\}$ \moc{::} \dstr{geo\_data2} $\}$
+\end{DataStructure}
+
+\noindent
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\dusa{GEOM1}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_GEOM}) that will contain the geometry.
+
+\item[\dusa{GEOM2}] {\tt character*12} name of a {\sc lcm} object (type {\tt L\_GEOM}) containing the existing geometry. The type and all the characteristics of \dusa{GEOM2} will be copied onto \dusa{GEOM1}.
+
+\item[\dstr{geo\_data1}] structure describing the characteristics of a new geometry (see Sect.~\ref{sect:geo_data1}).
+
+\item[\dstr{geo\_data2}] structure describing the change to the characteristics of an existing geometry (see Sect.~\ref{sect:geo_data1}).
+
+\end{ListeDeDescription}
+
+\vskip 0.2cm
+
+\subsubsection{Data input for module {\tt GEO:}}\label{sect:geo_data1}
+
+Structures \dstr{geo\_data1} and \dstr{geo\_data2} serve to define the
+principle components of a geometry (dimensions, materials, boundary
+conditions):
+
+\begin{DataStructure}{Structure \dstr{geo\_data1}}
+$\{$ \moc{HOMOGE} $|$ \moc{CAR1D} \dusa{lx} $|$ \moc{TUBE} \dusa{lr} $|$
+\moc{SPHERE} \dusa{lr} $|$ \moc{CAR2D} \dusa{lx} \dusa{ly} $|$ \moc{TUBEZ} \dusa{lr} \dusa{lz} $|$ \moc{CAR3D} \dusa{lx} \dusa{ly} \dusa{lz} $|$ \\
+~~~~~~ \moc{HEX} \dusa{lh} $|$ \moc{HEXZ} \dusa{lh} \dusa{lz} $\}$ \\
+$[$ \moc{EDIT} \dusa{iprint} $]$ \\
+\dstr{descBC} \\
+\dstr{descMC} \\
+\dstr{descPOS} \\
+;
+\end{DataStructure}
+
+\begin{DataStructure}{Structure \dstr{geo\_data2}}
+$[$ \moc{EDIT} \dusa{iprint} $]$ \\
+\dstr{descBC} \\
+\dstr{descMC} \\
+\dstr{descPOS} \\
+;
+\end{DataStructure}
+
+\noindent
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\moc{HOMOGE}] infinite homogeneous geometry.
+
+\item[\moc{CAR1D}] one dimensional plane geometry (infinite slabs).
+
+\item[\moc{TUBE}] cylindrical geometry (infinite tubes or cylinders).
+
+\item[\moc{SPHERE}] spherical geometry (concentric spheres).
+
+\item[\moc{CAR2D}] two-dimensional cartesian geometry.
+
+\item[\moc{TUBEZ}] polar geometry ($R-Z$).
+
+\item[\moc{CAR3D}] three-dimensional cartesian geometry.
+
+\item[\moc{HEX}] two-dimensional hexagonal geometry.
+
+\item[\moc{HEXZ}] three-dimensional hexagonal geometry.
+
+\item[\dusa{lx}] number of subdivisions along the $X$ axis (before mesh-splitting).
+
+\item[\dusa{ly}] number of subdivisions along the $Y$ axis (before mesh-splitting).
+
+\item[\dusa{lz}] number of subdivisions along the $Z$ axis (before
+mesh-splitting).
+
+\item[\dusa{lr}] number of cylinders or spherical shells (before mesh-splitting).
+
+\item[\dusa{lh}] number of hexagons in an axial plane (including the virtual hexagons).
+
+\item[\moc{EDIT}] keyword used to set \dusa{iprint}.
+
+\item[\dusa{iprint}] index used to control the printing in module {\tt GEO:}. =0 for no print; =1 for minimum printing (default value); =2 for printing the geometry state vector.
+
+\item[\dstr{descBC}] structure allowing the boundary conditions surrounding the geometry to be treated.
+
+\item[\dstr{descMC}] structure allowing material mixtures to be associated with a geometry.
+
+\item[\dstr{descPOS}] structure allowing the coordinates of a geometry to be described.
+
+\end{ListeDeDescription}
+
+The inputs corresponding to the \dstr{descBC} structure are the following:
+
+\begin{DataStructure}{Structure \dstr{descBC}}
+$[$ \moc{X-} $\{$ \moc{VOID} $|$ \moc{REFL} $|$ \moc{DIAG} $|$ \moc{TRAN} $|$ \moc{SYME} $|$ \moc{ALBE} $\{$ \dusa{albedo} $|$ \dusa{icode} $\}$ $|$ \moc{ZERO} \\
+~~~~~~~~ $|$ \moc{CYLI} $|$ \moc{ACYL} $\{$ \dusa{albedo} $|$ \dusa{icode} $\}$ $\}$ $]$ \\
+$[$ \moc{X+} $\{$ \moc{VOID} $|$ \moc{REFL} $|$ \moc{DIAG} $|$ \moc{TRAN} $|$ \moc{SYME} $|$ \moc{ALBE} $\{$ \dusa{albedo} $|$ \dusa{icode} $\}$ $|$ \moc{ZERO} \\
+~~~~~~~~ $|$ \moc{CYLI} $|$ \moc{ACYL} $\{$ \dusa{albedo} $|$ \dusa{icode} $\}$ $\}$ $]$ \\
+$[$ \moc{Y-} $\{$ \moc{VOID} $|$ \moc{REFL} $|$ \moc{DIAG} $|$ \moc{TRAN} $|$ \moc{SYME} $|$ \moc{ALBE} $\{$ \dusa{albedo} $|$ \dusa{icode} $\}$ $|$ \moc{ZERO} \\
+~~~~~~~~ $|$ \moc{CYLI} $|$ \moc{ACYL} $\{$ \dusa{albedo} $|$ \dusa{icode} $\}$ $\}$ $]$ \\
+$[$ \moc{Y+} $\{$ \moc{VOID} $|$ \moc{REFL} $|$ \moc{DIAG} $|$ \moc{TRAN} $|$ \moc{SYME} $|$ \moc{ALBE} $\{$ \dusa{albedo} $|$ \dusa{icode} $\}$ $|$ \moc{ZERO} \\
+~~~~~~~~ $|$ \moc{CYLI} $|$ \moc{ACYL} $\{$ \dusa{albedo} $|$ \dusa{icode} $\}$ $\}$ $]$ \\
+$[$ \moc{Z-} $\{$ \moc{VOID} $|$ \moc{REFL} $|$ \moc{TRAN} $|$ \moc{SYME} $|$ \moc{ALBE} $\{$ \dusa{albedo} $|$ \dusa{icode} $\}$ $|$ \moc{ZERO} $\}$ $]$ \\
+$[$ \moc{Z+} $\{$ \moc{VOID} $|$ \moc{REFL} $|$ \moc{TRAN} $|$ \moc{SYME} $|$ \moc{ALBE} $\{$ \dusa{albedo} $|$ \dusa{icode} $\}$ $|$ \moc{ZERO} $\}$ $]$ \\
+$[$ \moc{R+} $\{$ \moc{VOID} $|$ \moc{REFL} $|$
+\moc{ALBE} $\{$ \dusa{albedo} $|$ \dusa{icode} $\}$ $|$ \moc{ZERO} $|$ $\}$ $]$ \\
+$[$ \moc{HBC} $\{$ \moc{S30} $|$ \moc{SA60} $|$ \moc{SB60} $|$ \moc{S90} $|$
+\moc{R120} $|$ \moc{R180} $|$ \moc{SA180} $|$ \moc{SB180} $|$
+\moc{COMPLETE} $\}$ \\ $\{$ \moc{VOID} $|$ \moc{REFL} $|$ \moc{SYME} $|$
+\moc{ALBE} $\{$ \dusa{albedo} $|$ \dusa{icode} $\}$ $|$ \moc{ZERO} $\}$ $]$ \\
+$[$ \moc{RADS} $[$ \moc{ANG} $]$ \dusa{nrads} (\dusa{xrad}(ir), \dusa{rrad}(ir) $[$, \dusa{ang}(ir) $]$, ir=1,nrads ) $]$
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\moc{X-}] negative $X$ side.
+
+\item[\moc{Y-}] negative $Y$ side.
+
+\item[\moc{Z-}] negative $Z$ side.
+
+\item[\moc{X+}] positive $X$ side.
+
+\item[\moc{Y+}] positive $Y$ side.
+
+\item[\moc{Z+}] positive $Z$ side.
+
+\item[\moc{R+}] side surrounding cylinders or spheres.
+
+\item[\moc{HBC}] side surrounding a hexagonal geometry.
+
+\item[\moc{VOID}] the side under consideration has a zero incoming current
+boundary condition.
+
+\item[\moc{REFL}] the side under consideration has a reflective boundary condition.
+
+\item[\moc{DIAG}] the side under consideration is external to a diagonal axis of symmetry.
+
+\item[\moc{TRAN}] the side under consideration is connected to the opposite side of the domain. This option permits a translation condition to be treated.
+
+\item[\moc{SYME}] the side under consideration is next to an axial axis of symmetry. (symmetric with respect to the central axis of the last row of volumes). The {\tt SYME} condition can also be used in hexagonal geometry, but only with {\tt S30} and {\tt SA60} symmetries.
+
+\item[\moc{ALBE}] the side under consideration has an arbitrary albedo to be specified.
+
+\item[\dusa{albedo}] geometrical albedo corresponding to the boundary condition \moc{ALBE} (\dusa{albedo} $\ge$ 0.0).
+
+\item[\dusa{icode}] index of a physical albedo corresponding to the boundary condition \moc{ALBE}. The numerical values of the physical albedo are supplied by the module \moc{MAC:}.
+
+\item[\moc{ZERO}] the side under consideration has a zero flux boundary condition.
+
+\item[\moc{CYLI}] the side under consideration has a zero incoming current boundary condition with a circular correction applied on the Cartesian boundary. This option is only available in
+the $X$--$Y$ plane for \moc{CAR2D} and \moc{CAR3D} geometries defined for TRIVAC full--core calculations.
+
+\item[\moc{ACYL}] the side under consideration has an arbitrary albedo with a circular correction applied on the Cartesian boundary. This option is only available in
+the $X$--$Y$ plane for \moc{CAR2D} and \moc{CAR3D} geometries defined for TRIVAC full--core calculations.
+
+\item[\moc{S30}] hexagonal symmetry of one twelfth of an assembly (see Fig. \fig(s30)).
+
+\begin{figure}[htbp]
+\begin{center}
+\epsfxsize=10cm
+\centerline{ \epsffile{Fig1.eps}}
+\parbox{14cm}{\caption{Hexagonal geometries of type S30 and
+SA60}\label{fig:s30}} \end{center}
+\end{figure}
+
+\item[\moc{SA60}] hexagonal symmetry of one sixth of an assembly of type A (see Fig. \fig(s30)).
+
+\item[\moc{SB60}] hexagonal symmetry of one sixth of an assembly of
+type B (see Fig. \fig(sb60)).
+
+\begin{figure}[htbp]
+\begin{center}
+\epsfxsize=12cm
+\centerline{ \epsffile{Fig2.eps}}
+\parbox{14cm}{\caption{Hexagonal geometries of type SB60 and
+S90}\label{fig:sb60}} \end{center}
+\end{figure}
+
+\item[\moc{S90}] hexagonal symmetry of one quarter of an assembly (see Fig. \fig(sb60)).
+
+\item[\moc{R120}] hexagonal symmetry of one third of an assembly (rotational symmetry) (see Fig. \fig(r120)).
+
+\begin{figure}[htbp]
+\begin{center}
+\epsfxsize=10cm
+\centerline{ \epsffile{Fig3.eps}}
+\parbox{14cm}{\caption{Hexagonal geometries of type R120 and
+R180}\label{fig:r120}} \end{center}
+\end{figure}
+
+\item[\moc{R180}] rotational symmetry of a half assembly (see Fig.
+\fig(r120)).
+
+\item[\moc{SA180}] hexagonal symmetry of half a type A assembly (see Fig. \fig(sa180)).
+
+\begin{figure}[htbp]
+\begin{center}
+\epsfxsize=5cm
+\centerline{ \epsffile{Fig4a.eps}}
+\parbox{14cm}{\caption{Hexagonal geometry of type SA180}\label{fig:sa180}}
+\end{center}
+\end{figure}
+
+\item[\moc{SB180}] hexagonal symmetry of half a type B assembly (see Fig. \fig(sb180)).
+
+\begin{figure}[htbp]
+\begin{center}
+\epsfxsize=10cm
+\centerline{ \epsffile{Fig4b.eps}}
+\parbox{14cm}{\caption{Hexagonal geometry of type SB180}\label{fig:sb180}}
+\end{center}
+\end{figure}
+
+\item[\moc{COMPLETE}] complete hexagonal assembly (see Fig.~\fig(compl)).
+
+\begin{figure}[htbp]
+\begin{center}
+\epsfxsize=9cm
+\centerline{ \epsffile{Fig5.eps}}
+\parbox{14cm}{\caption{Hexagonal geometry of type COMPLETE}\label{fig:compl}}
+\end{center}
+\end{figure}
+
+\item[\moc{RADS}] This keyword is used to specify the cylindrical correction applied in the $X-Y$ plane for \moc{CAR2D} and \moc{CAR3D} geometries.\cite{roy}
+
+\item[\moc{ANG}] This keyword allows the angle (see Fig. \fig(corr))
+of the cylindrical notch to be set. By default, no notch is present.
+
+\item[\dusa{nrads}] Number of different corrections along the cylinder main axis (i.e. the $Z$ axis).
+
+\item[\dusa{xrad}(ir)] Coordinate of the $Z$ axis from which the correction is applied.
+
+\item[\dusa{rrad}(ir)] Radius of the real cylindrical boundary.
+
+\item[\dusa{ang}(ir)] Angle of the cylindrical notch. This data is given if and only if the keyword \moc{ANG} is present. \dusa{ang}(ir) $= {\pi \over 2}$ by default (i.e. the correction is applied at every angle).
+
+\begin{figure}[htbp]
+\begin{center}
+\epsfxsize=5cm
+\centerline{ \epsffile{Fig6.eps}}
+\parbox{14cm}{\caption{Cylindrical correction in Cartesian geometry}
+\label{fig:corr}}
+\end{center}
+\end{figure}
+
+\end{ListeDeDescription}
+
+The only combinations of diagonal symmetry permitted are: \moc{X+} \moc{DIAG} \moc{Y-} \moc{DIAG} and \moc{X-} \moc{DIAG} \moc{Y+} \moc{DIAG}. In these cases the geometry must be a square. The only combinations of translational symmetry permitted are: \moc{X-} \moc{TRAN} \moc{X+} \moc{TRAN}, \moc{Y-} \moc{TRAN} \moc{Y+} \moc{TRAN} and \moc{Z-} \moc{TRAN} \moc{Z+} \moc{TRAN}.
+
+\vskip 0.2cm
+\goodbreak
+
+The input corresponding to the \dstr{descMC} structure are the following:
+
+\begin{DataStructure}{Structure \dstr{descMC}}
+$[$ \moc{MIX} $\{$ (\dusa{imix}(i),i=1,$lreg$) $|$\\
+$~~~~[[$ \moc{PLANE} \dusa{iplan} $\{$ (\dusa{imix}(i),i=1,\dusa{lp}) $|$ \moc{SAME} \dusa{iplan1}\\
+$~~~~|~[[$ \moc{CROWN} $\{$ (\dusa{imix}(i),i=1,\dusa{lc}) $|$ \moc{ALL} \dusa{jmix} $|$ \moc{SAME} \dusa{iplan1} $\}~]]$\\
+$~~~~|~[[$ \moc{UPTO} \dusa{ic} \moc{ALL} \dusa{jmix} $|$ \moc{SAME} \dusa{iplan1} $\}~]]~]]~\}$\\
+$]$
+\end{DataStructure}
+
+\noindent
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\moc{MIX}] keyword to attribute an material mixture number to each volume inside the axes of symmetry. When a volume is located inside the axes of symmetry but outside the calculation region it must be declared `virtual' (for example, the corners of a nuclear reactor). The material mixture number should be specified for each volume before mesh-splitting.
+
+\item[\dusa{imix}] type of material mixture associated with a region. It is
+important that \dusa{imix}$\le$\dusa{nmixt} where \dusa{nmixt} is defined in the
+{\tt } module. If \dusa{imix}=0, the corresponding volume is replaced by a
+\moc{VOID} boundary condition. In this case the volume is considered to be
+virtual and the flux is not calculated. In the case of a diagonal symmetry, the
+type indicator must not be specified for the volumes outside the axis of
+symmetry. These values must be specified in the following order: from \moc{X-}
+to \moc{X+}, from \moc{Y-} to \moc{Y+}, from \moc{Z-} to \moc{Z+} and finally
+radially from the inside out.
+
+\item[\moc{PLANE}] keyword to attribute mixture numbers to each volume inside a single 2D plane. This option is
+valid only for 3D geometries, Cartesian or hexagonal.
+
+\item[\dusa{iplan}] plane number for which material mixture are input.
+
+\item[\moc{SAME}] keyword to attribute the same material mixture numbers of the \dusa{iplan1} plane to the \dusa{iplan} plane. In
+hexagonal geometry, it can indicate that the mixture numbers of the current crown of the \dusa{iplan}th
+plane will be identical to those of the same crown of the \dusa{iplan1}th plane.
+
+\item[\dusa{iplan1}] plane number used as reference to input the current plane or crown(s).
+
+\item[\dusa{lp}] number of volumes in a plane. In Cartesian geometry, $lp=lx*ly$ and in hexagonal geometry,
+$lp=lh$.
+
+\item[\moc{CROWN}] keyword to attribute mixture numbers to each hexagon of a single crown. This option is only
+valid for \moc{COMPLETE} hexagonal geometry definition. Each use of the keyword \moc{CROWN} increases
+the crown number by 1. So it is not required to give its number, but crowns must be defined from
+the center to the peripherical regions of a plane.
+
+\item[\dusa{lc}] number of hexagons in the current crown. For the \dusa{i}th crown of a compelete hexagonal plane,
+$lc=(i-1)*6$. The first crown is composed of only one hexagon.
+
+\item[\moc{ALL}] keyword to specify that the \dusa{lc} material mixture number of the current crown have the same value
+\dusa{jmix}.
+
+\item[\moc{UPTO}] keyword to attribute material mixture numbers of the current crown up to the \dusa{ic} one.
+
+\item[\dusa{ic}] number of the last crown in \moc{UPTO} option. Its value must be greater than equal to the current
+crown number.
+
+\end{ListeDeDescription}
+
+Here we will assume that $lreg$\index{$lreg$} is the exact number of cells or
+elementary cases to be considered. For example, if we had used the \moc{DIAG}
+option with a geometry of type \moc{CAR3D} (\dusa{lx}=\dusa{ly}), we would
+have: $lreg$=(\dusa{lx}+1)$*$\dusa{ly}$*$\dusa{lz}/2.
+
+\vskip 0.2cm
+
+The following dimensional constraints must also be respected:
+
+\begin{itemize}
+
+\item $nmerge$=number of merged cells (with $nmerge \ge lreg$.),
+\item $ngen$=number of generation cells (with $ngen \ge nmerge$.),
+
+\end{itemize}
+
+The inputs corresponding to the \dstr{descPOS} structure are the following:
+
+\begin{DataStructure}{Structure \dstr{descPOS}}
+$[$ \moc{MESHX} (\dusa{xxx}(i),i=1,\dusa{lx}+1) $]$\\
+$[$ \moc{MESHY} (\dusa{yyy}(i),i=1,\dusa{ly}+1) $]$\\
+$[$ \moc{MESHZ} (\dusa{zzz}(i),i=1,\dusa{lz}+1) $]$\\
+$[$ \moc{RADIUS} (\dusa{rrr}(i),i=1,\dusa{lr}+1) $]$\\
+$[$ \moc{SIDE} \dusa{sidhex} $]$\\
+$[$ \moc{SPLITX} (\dusa{ispltx}(i),i=1,\dusa{lx}) $]$\\
+$[$ \moc{SPLITY} (\dusa{isplty}(i),i=1,\dusa{ly}) $]$\\
+$[$ \moc{SPLITZ} (\dusa{ispltz}(i),i=1,\dusa{lz}) $]$\\
+$[$ \moc{SPLITR} (\dusa{ispltr}(i),i=1,\dusa{lr}) $]$\\
+$[~\{$ \moc{SPLITH} \dusa{isplth} $|$ \moc{SPLITL} \dusa{ispltl} $\}~]$
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\moc{MESHX}] keyword for the mesh of the geometry along the $X$
+axis.
+\item[\moc{MESHY}] keyword for the mesh of the geometry along the $Y$
+axis.
+\item[\moc{MESHZ}] keyword for the mesh of the geometry along the $Z$
+axis.
+\item[\moc{RADIUS}] keyword for the mesh of the geometry in the radial
+direction.
+\item[\moc{SIDE}] keyword for the length of a side of a hexagon.
+\item[\dusa{xxx}] abscissa, corresponding to the limits of the regions making up the geometry. These values must be given in order, from \moc{X-} to \moc{X+}. If the geometry presents a diagonal symmetry this data will also be used for the ordinate.
+
+\item[\dusa{yyy}] ordinate, corresponding to the limits of the regions making up the geometry. These values must be given in order, from \moc{Y-} to \moc{Y+}.
+
+\item[\dusa{zzz}] height, corresponding to the limits of the regions making up the geometry. These values must be given in order, from \moc{Z-} to \moc{Z+}.
+
+\item[\dusa{rrr}] Radii in the cases of cylindrical (\moc{TUBE}
+or \moc{TUBEZ}), spherical (\moc{SPHERE}). It is important to note that we must have \dusa{rrr}(1)=0.0.
+
+\item[\dusa{sidhex}] length of a side of a hexagon.
+
+\item[\moc{SPLITX}] keyword for mesh splitting of the geometry along the $X$ axis.
+
+\item[\moc{SPLITY}] keyword for mesh splitting of the geometry along the $Y$ axis.
+
+\item[\moc{SPLITZ}] keyword for mesh splitting of the geometry along the $Z$ axis.
+
+\item[\moc{SPLITR}] keyword for mesh splitting of the geometry in the radial direction.
+
+\item[\dusa{ispltx}] number of sub-volumes that will be defined for each row of the volume along the $X$-axis. If the geometry presents a diagonal symmetry this input will also be used for the splitting along the $Y$-axis. By default, \dusa{ispltx}=1.
+
+\item[\dusa{isplty}] number of sub-volumes that will be defined for each row of the volume along the $Y$-axis. If the geometry presents a diagonal symmetry this input will also be used for the splitting along the $X$-axis. By default, \dusa{isplty}=1.
+
+\item[\dusa{ispltz}] number of sub-volumes that will be defined for each row of the volume along the $Z$-axis. By default, \dusa{ispltz}(i)=1.
+
+\item[\dusa{ispltr}] the value of \dusa{ispltr} gives the number of sub-volumes that will be defined for each tube or each spherical shell. A negative value permits a splitting into equal sub-volumes; a positive value permits a splitting into equal sub-radius spacings. By default, \dusa{ispltr}=1.
+
+\item[\moc{SPLITH}] keyword to specify that a triangular mesh splitting of the hexagonal geometry is to be performed -- for \moc{HEX} and \moc{HEXZ} type geometries.
+
+\item[\dusa{isplth}] value of the triangular mesh splitting. The number of triangles per hexagon is given by $6 \times$\dusa{isplth}$^2$. \dusa{isplth} $=0$ is used for full hexagon discretization.
+
+\item[\moc{SPLITL}] keyword to specify that a lozenge mesh splitting of the hexagonal geometry is to be performed -- for \moc{HEX} and \moc{HEXZ} type geometries.
+
+\item[\dusa{ispltl}] value of the lozenge splitting. The number of lozenges per hexagon is given by $3 \times$\dusa{ispltl}$^2$.
+
+\end{ListeDeDescription}
+
+The user of the options described above should take care not to exceed the
+limits imposed by the amount of dynamically allocated memory available. For a
+pure geometry, let us define the variables $lxp$, $lyp$, $lzp$ and $lrp$ as:
+
+\begin{eqnarray*}
+lxp&=&\sum_{i=1}^{{\it lx}} {\it ispltx}(i) \\
+lyp&=&\sum_{i=1}^{{\it ly}} {\it isplty}(i) \\
+lzp&=&\sum_{i=1}^{{\it lz}} {\it ispltz}(i) \\
+lrp&=&\sum_{i=1}^{{\it lr}} {\it ispltr}(i) \\
+\end{eqnarray*}
+
+\noindent
+thus, the limits that must be respected are the following:
+
+\begin{itemize}
+
+\item $lxp\ge$\dusa{maxpts} for a \moc{CAR1D} geometry.
+
+\item \dusa{lh}$\ge$\dusa{maxpts} for a \moc{HEX} geometry.
+
+\item $lrp\ge$\dusa{maxpts} for the \moc{TUBE} and \moc{SPHERE} geometries.
+
+\item $lxp*lyp\ge$\dusa{maxpts} for the \moc{CAR2D} geometry without diagonal symmetry.
+
+\item $lxp*(lyp+1)/2\ge$\dusa{maxpts} for the \moc{CAR2D} geometry with diagonal symmetry.
+
+\item $lrp*lzp\ge$\dusa{maxpts} for the \moc{TUBEZ} geometry.
+
+\item $lxp*lyp*lzp\ge$\dusa{maxpts} for the \moc{CAR3D} geometry without diagonal symmetry.
+
+\item $lxp*(lyp+1)*lzp/2\ge$\dusa{maxpts} for the \moc{CAR3D} geometry with diagonal symmetry.
+
+\item \dusa{lh}$*lzp\ge$\dusa{maxpts} for the \moc{HEXZ} geometry.
+
+\end{itemize}
+
+\vskip 0.2cm
+
+\subsubsection{Examples of geometries}
+
+We will now give a few examples which will permit users to better understand the procedure used to define the geometries in TRIVAC.
+
+\begin{enumerate}
+
+\item Slab geometry (see Fig. \fig(plaque)):
+
+\begin{verbatim}
+GEOMETRY1 := GEO: :: CAR1D 6
+ X- VOID X+ ALBE 1.2
+ MESHX 0.0 0.1 0.3 0.5 0.6 0.8 1.0
+ SPLITX 2 2 2 1 2 1
+ MIX 1 2 3 4 5 6
+ ;
+\end{verbatim}
+
+\begin{figure}[htbp]
+\begin{center}
+\epsfxsize=9cm
+\centerline{ \epsffile{Fig9.eps}}
+\parbox{14cm}{\caption{Slab geometry with mesh-splitting}
+\label{fig:plaque}}
+\end{center}
+\end{figure}
+
+\item Two-dimensional hexagonal geometry (see Fig. \fig(hexcel)):
+
+\begin{verbatim}
+GEOMETRY4 := GEO: :: HEX 12
+ HBC S30 ALBE 1.6
+ SIDE 1.3
+ MIX 1 1 1 2 2 2 3 3 3 4 5 6
+ ;
+\end{verbatim}
+
+\begin{figure}[htbp]
+\begin{center}
+\epsfxsize=7cm
+\centerline{ \epsffile{Fig12.eps}}
+\parbox{14cm}{\caption{Two-dimensional hexagonal geometry}
+\label{fig:hexcel}}
+\end{center}
+\end{figure}
+
+\end{enumerate}
+\clearpage
+
+\subsection{The {\tt MAC:} module}
+
+In TRIVAC the macroscopic cross sections and diffusion coefficients are read from the input data file using REDLEC. The general format of the data for the \moc{MAC:} module in TRIVAC is the following:
+
+\begin{DataStructure}{Structure \dstr{MAC:}}
+\dusa{MACR1} \moc{:=} \moc{MAC:} $[~\{$ \dusa{MACR1} $|$ \dusa{MACR2} $\}~]$ \moc{::} \dstr{mac\_data}
+\end{DataStructure}
+
+\goodbreak
+\noindent where
+
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\dusa{MACR1}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_MACROLIB}) containing the new Macrolib
+produced by the module. A Macrolib contains macroscopic cross sections and diffusion coefficients.
+If \dusa{MACR1} appears on both LHS and RHS, it is updated; otherwise, it is
+created. If \dusa{MACR1} is created, all macroscopic cross sections and
+diffusion coefficients are first initialized to zero.
+
+\item[\dusa{MACR2}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_MACROLIB}) containing a read-only
+Macrolib. The information existing in \dusa{MACR2} is copied into \dusa{MACR1}, but \dusa{MACR2} is not modified.
+
+\item[\dstr{mac\_data}] structure containing the data to module {\tt MAC:} (see Sect.~\ref{sect:mac_data}).
+
+\end{ListeDeDescription}
+
+\vskip 0.2cm
+
+\subsubsection{Data input for module {\tt MAC:}}\label{sect:mac_data}
+
+\begin{DataStructure}{Structure \dstr{mac\_data}}
+$[$ \moc{EDIT} \dusa{iprint} $]$ \\
+$[$ \moc{NGRO} \dusa{ngroup} $]$ \\
+$[$ \moc{NIFI} \dusa{nifiss} $]$ \\
+$[$ \moc{DELP} \dusa{ndel} $]$ \\
+$[$ \moc{ANIS} \dusa{naniso} $]$ \\
+$[$ \moc{NMIX} \dusa{nmixt} $]$ \\
+$[$ \moc{DELP} \dusa{ndg} $]$ \\
+$[$ \moc{ANIS} \dusa{naniso} $]$ \\
+$[$ \moc{ALBP} \dusa{nalbp} ((\dusa{albedp}(ig,ia),ig=1,\dusa{ngroup}),ia=1,\dusa{nalbp}) $]$ \\
+$[$ \moc{READ} \moc{INPUT} $\{$ $[[$ \dstr{macxs} $]]$ $|$ \moc{OLD} \dstr{triv2} $|$ \moc{DOLD} \dstr{trip2} $\}$ $]$ \\
+$[[$ \moc{STEP} \dusa{istep} \moc{READ} \moc{INPUT} $[[$ \dstr{macxs} $]]$ $]]$ \\
+;
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\moc{EDIT}] keyword used to set \dusa{iprint}.
+
+\item[\dusa{iprint}] index used to control the printing in module {\tt MAC:}. =0 for no print. The macroscopic cross sections will be printed if the parameter \dusa{iprint} is greater than or equal to 2. The transfer cross sections will be printed if this parameter is greater than or equal to 3.
+
+\item[\moc{NGRO}] keyword used to define the number of energy groups. This
+data is given if and only if \dusa{MACR1} is created.
+
+\item[\dusa{ngroup}] the number of energy groups used for the calculations in TRIVAC.
+
+\item[\moc{NIFI}] keyword used to specify the maximum number of fissile
+spectrum associated with each mixture. Each fission spectrum generally
+represents a fissile isotope. This information is required only if \dusa{MACLIB}
+is created and the cross sections are taken directly from the input data stream.
+
+\item[\dusa{nifiss}] the maximum number of fissile isotopes per mixture. The
+default value is \dusa{nifiss}=1.
+
+\item[\moc{DELP}] keyword used to specify the number of delayed neutron groups.
+
+\item[\dusa{ndel}] the number of delayed neutron groups. The
+default value is \dusa{ndel}=0.
+
+\item[\moc{ANIS}] keyword used to specify the maximum level of anisotropy
+permitted in the scattering cross sections. This information is required only if
+\dusa{MACLIB} is created and the cross sections are taken directly from the
+input data stream.
+
+\item[\dusa{naniso}] number of Legendre orders for the representation of the
+scattering cross sections. The default value is \dusa{naniso}=1 corresponding to
+the use of isotropic scattering cross sections.
+
+\item[\moc{NMIX}] keyword used to define the number of material mixtures.
+This data is given if and only if \dusa{MACR1} is created.
+
+\item[\dusa{nmixt}] the maximum number of material mixtures (a material mixture is characterized by a distinct set of macroscopic cross sections).
+
+\item[\moc{DELP}] keyword used to set \dusa{ndg}. This data is used
+only if the fission spectrum $\vec{\chi}_p$ is different from the delayed neutron spectrum $\vec{\chi}_i$ for each precursor group $i$.
+
+\item[\dusa{ndg}] number of delayed neutron groups.
+
+\item[\moc{ANIS}] keyword used to specify the maximum level of anisotropy
+permitted in the diffusion cross sections. This data is given only if
+\dusa{MACR1} is created.
+
+\item[\dusa{naniso}] the maximum level of anisotropy. The default value is \dusa{naniso}=1.
+
+\item[\moc{ALBP}] keyword used for the input of the physical albedos.
+
+\item[\dusa{nalbp}] the number of physical albedos per energy group.
+
+\item[\dusa{albedp}] multigroup physical albedo array (real numbers).
+
+\item[\moc{STEP}] keyword used to create a perturbation directory.
+
+\item[\dusa{istep}] the index of the perturbation directory.
+
+\item[\moc{READ}] keyword used to specify input of the cross section
+information from default input by REDLEC.
+
+\item[\dstr{macxs}] structure describing the format used for reading the
+mixture cross sections and diffusion coefficients (or perturbation values of
+the cross sections and diffusion coefficients) from the input data file.
+
+\item[\moc{OLD}] keyword used to specify input of the cross section information
+from default input by REDLEC in the TRIVAC-2 format. The nuclear data will be
+translated into TRIVAC format and printed on the listing.
+
+\item[\dstr{triv2}] structure describing the format used for reading the
+mixture cross sections and diffusion coefficients from the input data file in
+TRIVAC-2 format.
+
+\item[\moc{DOLD}] keyword used to specify perturbed input of the cross
+section information from default input by REDLEC in the TRIVAC-2 format. The
+perturbed nuclear data will be translated into TRIVAC format and printed on
+the listing.
+
+\item[\dstr{trip2}] structure describing the format used for reading the
+mixture values of the perturbed cross sections and diffusion coefficients from
+the input data file in TRIVAC-2 format.
+
+\end{ListeDeDescription}
+
+\vskip 0.2cm
+\goodbreak
+
+\subsubsection{Description of the nuclear data}
+
+\begin{DataStructure}{Structure \dstr{macxs}}
+\moc{MIX} \dusa{matnum} \\
+$~~[~\{$ \moc{NTOT0} $|$ \moc{TOTAL} $\}$ (\dusa{xssigt}(jg), jg=1,\dusa{ngroup}) $]$ \\
+$~~[$ \moc{NTOT1} (\dusa{xssig1}(jg), jg=1,\dusa{ngroup}) $]$ \\
+$~~[$ \moc{TRANC} (\dusa{xsstra}(jg), jg=1,\dusa{ngroup}) $]$ \\
+$~~[$ \moc{NUSIGF} ((\dusa{xssigf}(jf,jg), jg=1,\dusa{ngroup}), jf=1,\dusa{nifiss}) $]$ \\
+$~~[$ \moc{CHI} ((\dusa{xschi}(jf,jg), jg=1,\dusa{ngroup}), jf=1,\dusa{nifiss})$]$ \\
+$~~[$ \moc{FIXE} (\dusa{xsfixe}(jg), jg=1,\dusa{ngroup}) $]$ \\
+$~~[$ \moc{DIFF} (\dusa{diff}(jg), jg=1,\dusa{ngroup}) $]$ \\
+$~~[$ \moc{DIFFX} (\dusa{xdiffx}(jg), jg=1,\dusa{ngroup}) $]$ \\
+$~~[$ \moc{DIFFY} (\dusa{xdiffy}(jg), jg=1,\dusa{ngroup}) $]$ \\
+$~~[$ \moc{DIFFZ} (\dusa{xdiffz}(jg), jg=1,\dusa{ngroup}) $]$ \\
+$~~[$ \moc{NUSIGD} (((\dusa{xssigd}(jf,idel,jg), jg=1,\dusa{ngroup}), idel=1,\dusa{ndel}), jf=1,\dusa{nifiss}) $]$ \\
+$~~[$ \moc{CHDL} (((\dusa{xschid}(jf,idel,jg), jg=1,\dusa{ngroup}), idel=1,\dusa{ndel}), jf=1,\dusa{nifiss})$]$ \\
+$~~[$ \moc{OVERV} (\dusa{overv}(jg), jg=1,\dusa{ngroup}) $]$ \\
+$~~[$ \moc{H-FACTOR} (\dusa{xhfact}(jg), jg=1,\dusa{ngroup}) $]$ \\
+$~~[$ \moc{SCAT} ((\dusa{nbscat}(jl,jg), \dusa{ilastg}(jl,jg), (\dusa{scat}(jl,jg,ig), ig=1,\dusa{nbscat}(jl,jg) ), jg=1,\dusa{ngroup}), jl=1,\dusa{naniso}) $]$
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\moc{MIX}] keyword to specify that the macroscopic cross sections
+associated with a new mixture are to be read.
+
+\item[\dusa{matnum}] identifier for the next mixture to be read. The maximum
+value permitted for this identifier is \dusa{nmixt}. When \dusa{matnum} is
+absent, the mixtures are numbered consecutively starting with 1 or with the last
+mixture number read either on the GOXS or the input stream.
+
+\item[\moc{NTOT0}] keyword to specify that the total macroscopic cross
+sections for this mixture follows.
+
+\item[\moc{TOTAL}] alias keyword for \moc{NTOT0}.
+
+\item[\dusa{xssigt}] array representing the multigroup total macroscopic cross
+section ($\Sigma^{g}$ in \xsunit) associated with this mixture.
+
+\item[\moc{NTOT1}] keyword to specify that the $P_1$--weighted total macroscopic cross
+sections for this mixture follows.
+
+\item[\dusa{xssig1}] array representing the multigroup $P_1$--weighted total macroscopic cross
+section ($\Sigma_1^{g}$ in \xsunit) associated with this mixture.
+
+\item[\moc{TRANC}] keyword to specify that the transport correction macroscopic cross
+sections for this mixture follows.
+
+\item[\dusa{xsstra}] array representing the multigroup transport correction macroscopic cross
+section ($\Sigma_{\rm tc}^{g}$ in \xsunit) associated with this mixture.
+
+\item[\moc{NUSIGF}] keyword to specify that the macroscopic fission cross
+section multiplied by the average number of neutrons per fission for this
+mixture follows.
+
+\item[\dusa{xssigf}] array representing the multigroup macroscopic fission
+cross section multiplied by the average number
+of neutrons per fission ($\nu\Sigma_{f}^{g}$ in \xsunit) for all the fissile
+isotopes associated with this mixture.
+
+\item[\moc{CHI}] keyword to specify that the fission spectrum for this mixture
+follows. By default, if \moc{CHI} is not provided, all fission neutrons are
+emitted in group index 1 (fast group).
+
+\item[\dusa{xschi}] array representing the multigroup fission spectrum
+($\chi^{g}$) for all the fissile isotopes associated with this mixture.
+
+\item[\moc{FIXE}] keyword to specify that the fixed neutron source density for
+this mixture follows.
+
+\item[\dusa{xsfixe}] array representing the multigroup fixed neutron source
+density for this mixture ($S^{g}$ in $s^{-1}cm^{-3}$).
+
+\item[\moc{DIFF}] keyword to specify that the isotropic diffusion coefficient for
+this mixture follows.
+
+\item[\dusa{diff}] array representing the multigroup isotropic diffusion coefficient for
+this mixture ($D^{g}$ in $cm$).
+
+\item[\moc{DIFFX}] keyword for input of the $X$--directed diffusion coefficient.
+
+\item[\dusa{xdiffx}] array representing the multigroup $X$--directed diffusion coefficient ($D^g_x$ in cm) for the mixture
+\dusa{matnum}.
+
+\item[\moc{DIFFY}] keyword for input of the $Y$--directed diffusion coefficient.
+
+\item[\dusa{xdiffy}] array representing the multigroup $Y$--directed diffusion coefficient ($D^g_y$ in cm) for the mixture
+\dusa{matnum}.
+
+\item[\moc{DIFFZ}] keyword for input of the $Z$--directed diffusion coefficient.
+
+\item[\dusa{xdiffz}] array representing the multigroup $Z$--directed diffusion coefficient ($D^g_z$ in cm) for the mixture
+\dusa{matnum}.
+
+\item[\moc{NUSIGD}] keyword to specify that the delayed macroscopic fission cross
+section multiplied by the average number of neutrons per fission for this
+mixture follows.
+
+\item[\dusa{xssigd}] array representing the delayed multigroup macroscopic fission
+cross section multiplied by the average number
+of neutrons per fission ($\nu\Sigma_{f}^{g,idel}$ in \xsunit) for all the fissile
+isotopes associated with this mixture.
+
+\item[\moc{CHDL}] keyword to specify that the delayed fission spectrum for this mixture
+follows.
+
+\item[\dusa{xschid}] array representing the delayed multigroup fission spectrum
+($\chi^{g,idel}$) for all the fissile isotopes associated with this mixture.
+
+\item[\moc{OVERV}] keyword for input of the multigroup average of the inverse neutron velocity.
+
+\item[\dusa{overv}] array representing the multigroup average of the inverse neutron velocity ($<1/v>_{m}^g$) for the mixture
+\dusa{matnum}.
+
+\item[\moc{H-FACTOR}] keyword to specify that the power factor for
+this mixture follows.
+
+\item[\dusa{hfact}] array representing the multigroup power factor for this
+mixture ($H^{g}$ in $eV~cm^{-1}$).
+
+\item[\moc{SCAT}] keyword to specify that the macroscopic scattering cross
+section matrix for this mixture follows.
+
+\item[\dusa{nbscat}] array representing the number of secondary groups ig with
+non vanishing macroscopic scattering cross section towards the primary group jg
+considered for each anisotropy level associated with this mixture.
+
+\item[\dusa{ilastg}] array representing the group index of the most thermal
+group with non-vanishing macroscopic scattering cross section towards the
+primary group jg considered for each anisotropy level associated with this
+mixture.
+
+\item[\dusa{xsscat}] array representing the multigroup macroscopic scattering
+cross section ($\Sigma_{sl}^{ig\to jg}$ in \xsunit) from the secondary group ig
+towards the primary group jg considered for each anisotropy level associated
+with this mixture. The elements are ordered using decreasing secondary group
+number ig, from \dusa{ilastg} to (\dusa{ilastg}$-$\dusa{nbscat}$+1$), and an
+increasing primary group number jg.
+
+\end{ListeDeDescription}
+
+For example, the two group isotropic and linearly anisotropic scattering
+cross sections (\dusa{ngroup}=2, \dusa{naniso}=2) given by:
+
+\begin{center}
+\begin{tabular}{lcccc}
+$L$ & $\Sigma_{s,l}^{1\to 1}$ & $\Sigma_{s,l}^{1\to 2}$
+ & $\Sigma_{s,l}^{2\to 1}$ & $\Sigma_{s,l}^{2\to 2}$ \\
+0 & 0.50 ${\rm cm}^{-1}$ & 0.20 ${\rm cm}^{-1}$ & 0.03 ${\rm cm}^{-1}$ & 0.40 ${\rm cm}^{-1}$ \\
+1 & 0.05 ${\rm cm}^{-1}$ & 0.00 ${\rm cm}^{-1}$ & 0.00 ${\rm cm}^{-1}$ & 0.04 ${\rm cm}^{-1}$
+\end{tabular}
+\end{center}
+
+\noindent must be entered as:
+
+\begin{verbatim}
+SCAT (*L=0*) 2 2 (*2->1*) 0.03 (*1->1*) 0.50
+ 2 2 (*2->2*) 0.40 (*1->2*) 0.20
+ (*L=1*) 1 1 (*1->1*) 0.05
+ 1 2 (*2->2*) 0.04
+\end{verbatim}
+\clearpage
+
+\subsection{The {\tt BIVACT:} module}\label{sect:bivact}
+
+The {\tt BIVACT:} module is used to perform a BIVAC-type {\sc tracking} on a 1D/2D geometry.\cite{bivac,benaboud,SVAT1}
+The geometry is analyzed and a LCM object with signature {\tt L\_BIVAC} is created with the following information:
+\begin{itemize}
+\item Diagonal and hexagonal symmetries are unfolded and the mesh-splitting operations are performed. Volumes, material mixture and averaged flux recovery indices are computed on the resulting geometry.
+\item A finite element discretization is performed and the corresponding numbering is saved.
+\item The unit finite element matrices (mass, stiffness, etc.) are recovered.
+\end{itemize}
+
+The calling specifications are:
+
+\begin{DataStructure}{Structure \dstr{BIVACT:}}
+\dusa{TRACK} \moc{:=} \moc{BIVACT:} $[$ \dusa{TRACK} $]$ \dusa{GEOM} \moc{::} \dstr{bivact\_data}
+\end{DataStructure}
+
+\goodbreak
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\dusa{TRACK}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_BIVAC}) containing the {\sc tracking} information. If \dusa{TRACK} appears on the RHS, the previous settings will be applied by default.
+
+\item[\dusa{GEOM}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_GEOM}) containing the geometry.
+
+\item[\dstr{bivact\_data}] structure containing the data to module {\tt BIVACT:} (see Sect.~\ref{sect:bivact_data}).
+
+\end{ListeDeDescription}
+
+\vskip 0.2cm
+
+\subsubsection{Data input for module {\tt BIVACT:}}\label{sect:bivact_data}
+
+\begin{DataStructure}{Structure \dstr{bivact\_data}}
+$[$ \moc{EDIT} \dusa{iprint} $]$ \\
+$[$ \moc{TITL} \dusa{TITLE} $]$ \\
+$[$ \moc{MAXR} \dusa{maxpts} $]$ \\
+$[$ $\{$ \moc{PRIM} $[$ \dusa{ielem} \dusa{icol} $]$ \\
+~~~~$|$ \moc{DUAL} $[$ \dusa{ielem} \dusa{icol} $]$ \\
+~~~~$|$ \moc{MCFD} $\}~]$ \\
+$[~\{$ \moc{PN} $|$ \moc{SPN} $\}$ $[$ \moc{DIFF} $]$ \dusa{nlf} $[$ \moc{SCAT} \dusa{iscat} $]~[$ \moc{VOID} \dusa{nvd}~$]~]$ \\
+{\tt ;}
+\end{DataStructure}
+
+\noindent where
+
+\begin{ListeDeDescription}{mmmmmmm}
+
+\item[\moc{EDIT}] keyword used to set \dusa{iprint}.
+
+\item[\dusa{iprint}] index used to control the printing in module {\tt
+BIVACT:}. =0 for no print; =1 for minimum printing (default value); Larger
+values produce increasing amounts of output.
+
+\item[\moc{TITL}] keyword which allows the run title to be set.
+
+\item[\dusa{TITLE}] the title associated with a TRIVAC run. This
+title may contain up to 72 characters. The default when \moc{TITL} is not specified is no title.
+
+\item[\moc{MAXR}] keyword which permits the maximum number of regions to be considered during a TRIVAC run to be specified.
+
+\item[\dusa{maxpts}] maximum dimensions of the problem to be considered. The
+default value is set to the number of regions previously computed by the {\tt
+GEO:} module but this value is insufficient if symmetries or mesh-splitting
+are specified.
+
+\item[\moc{PRIM}] keyword to set a primal finite element (classical)
+discretization.
+
+\item[\moc{DUAL}] keyword to set a mixed-dual finite element discretization. If the
+geometry is hexagonal, a Thomas-Raviart-Schneider method is used.\cite{rts}
+
+\item[\moc{MCFD}] keyword to set a mesh-centered finite difference discretization
+in hexagonal geometry.
+
+\item[\dusa{ielem}] order of the finite element representation. The values
+permitted are 1 (linear polynomials), 2 (parabolic polynomials), 3 (cubic
+polynomials) or 4 (quartic polynomials). By default \dusa{ielem}=1.
+
+\item[\dusa{icol}] type of quadrature used to integrate the mass matrices. The
+values permitted are 1 (analytical integration), 2 (Gauss-Lobatto quadrature)
+or 3 (Gauss-Legendre quadrature). By default \dusa{icol}=2. The analytical
+integration corresponds to classical finite elements; the Gauss-Lobatto
+quadrature corresponds to a variational or nodal type collocation and the
+Gauss-Legendre quadrature corresponds to superconvergent finite elements.
+
+\item[\moc{PN}] keyword to set a spherical harmonics ($P_n$) expansion of the flux.\cite{nse2005}
+
+\item[\moc{SPN}] keyword to set a simplified spherical harmonics ($SP_n$) expansion
+of the flux.\cite{nse2005,ane10a} This option is currently available with 1D and 2D Cartesian geometries
+and with 2D hexagonal geometries.
+
+\item[\moc{DIFF}] keyword to force using $1/3D^{g}$ as $\Sigma_1^{g}-\Sigma_{{\rm s}1}^{g}$ cross sections. A $P_1$ or $SP_1$ method
+will therefore behave as diffusion theory.
+
+\item[\dusa{nlf}] order of the $P_n$ or $SP_n$ expansion (odd number). Set to zero for diffusion theory (default value).
+
+\item[\moc{SCAT}] keyword to limit the anisotropy of scattering sources.
+
+\item[\dusa{iscat}] number of terms in the scattering sources. \dusa{iscat} $=1$ is used for
+isotropic scattering in the laboratory system. \dusa{iscat} $=2$ is used for
+linearly anisotropic scattering in the laboratory system. The default value is set to $n+1$
+in $P_n$ or $SP_n$ case.
+
+\item[\moc{VOID}] keyword to set the number of base points in the Gauss-Legendre quadrature used to integrate
+void boundary conditions if \dusa{icol} $=3$ and \dusa{n} $\ne 0$.
+
+\item[\dusa{nvd}] type of quadrature. The values
+permitted are: 0 (use a (\dusa{n}$+2$)--point quadrature consistent with $P_{{\rm n}}$ theory),
+1 (use a (\dusa{n}$+1$)--point quadrature consistent with $S_{{\rm n}+1}$ theory),
+2 (use an analytical integration of the void boundary conditions). By default \dusa{nvd}=0.
+
+\end{ListeDeDescription}
+
+Various finite element approximations can be obtained by combining different values of \dusa{ielem} and \dusa{icol}:
+\begin{itemize}
+\item {\tt PRIM 1 1~:} Linear finite elements;
+\item {\tt PRIM 1 2~:} Mesh corner finite differences;
+\item {\tt PRIM 1 3~:} Linear superconvergent finite elements;
+\item {\tt PRIM 2 1~:} Quadratic finite elements;
+\item {\tt PRIM 2 2~:} Quadratic variational collocation method;
+\item {\tt PRIM 2 3~:} Quadratic superconvergent finite elements;
+\item {\tt PRIM 3 1~:} Cubic finite elements;
+\item {\tt PRIM 3 2~:} Cubic variational collocation method;
+\item {\tt PRIM 3 3~:} Cubic superconvergent finite elements;
+\item {\tt PRIM 4 2~:} Quartic variational collocation method;
+\item {\tt DUAL 1 1~:} Mixed-dual linear finite elements;
+\item {\tt DUAL 1 2~:} Mesh centered finite differences;
+\item {\tt DUAL 1 3~:} Mixed-dual linear superconvergent finite elements (numerically equivalent to {\tt PRIM~1~3});
+\item {\tt DUAL 2 1~:} Mixed-dual quadratic finite elements;
+\item {\tt DUAL 2 2~:} Quadratic nodal collocation method;
+\item {\tt DUAL 2 3~:} Mixed-dual quadratic superconvergent finite elements (numerically equivalent to {\tt PRIM~2~3});
+\item {\tt DUAL 3 1~:} Mixed-dual cubic finite elements;
+\item {\tt DUAL 3 2~:} Cubic nodal collocation method;
+\item {\tt DUAL 3 3~:} Mixed-dual cubic superconvergent finite elements (numerically equivalent to {\tt PRIM~3~3});
+\item {\tt DUAL 4 2~:} Quartic nodal collocation method;
+\end{itemize}
+\clearpage
+
+\subsection{The {\tt TRIVAT:} module}
+
+The {\tt TRIVAT:} module is used to perform a TRIVAC-type {\sc tracking} on a
+1D/2D/3D geometry.\cite{SVAT1,SVAT2,MCFD,Trivac,mixte-dual,benaboud} The
+geometry is analyzed and a LCM object with signature {\tt L\_TRIVAC} is
+created with the following information:
+
+\begin{itemize}
+\item Diagonal and hexagonal symmetries are unfolded and the mesh-splitting
+operations are performed. Volumes, material mixture and averaged flux recovery
+indices are computed on the resulting geometry. \item A finite element
+discretization is performed and the corresponding numbering is saved. \item The
+unit finite element matrices (mass, stiffness, etc.) are recovered. \item
+Indices related to an ADI preconditioning with or without supervectorization
+are saved. \end{itemize}
+
+The calling specifications are:
+
+\begin{DataStructure}{Structure \dstr{TRIVAT:}}
+\dusa{TRACK} \moc{:=} \moc{TRIVAT:} $[$ \dusa{TRACK} $]$ \dusa{GEOM} \moc{::} \dstr{trivat\_data}
+\end{DataStructure}
+
+\goodbreak
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\dusa{TRACK}] {\tt character*12} of the {\sc lcm} object (type {\tt L\_TRIVAC})
+containing the {\sc tracking} information. If \dusa{TRACK} appears on the RHS, the
+previous settings will be applied by default.
+
+\item[\dusa{GEOM}] {\tt character*12} of the {\sc lcm} object (type {\tt
+L\_GEOM}) containing the geometry.
+
+\item[\dstr{trivat\_data}] structure containing the data to module {\tt TRIVAT:} (see Sect.~\ref{sect:trivat_data}).
+
+\end{ListeDeDescription}
+
+\vskip 0.2cm
+
+\subsubsection{Data input for module {\tt TRIVAT:}}\label{sect:trivat_data}
+
+\begin{DataStructure}{Structure \dstr{trivat\_data}}
+$[$ \moc{EDIT} \dusa{iprint} $]$ \\
+$[$ \moc{TITL} \dusa{TITLE} $]$ \\
+$[$ \moc{MAXR} \dusa{maxpts} $]$ \\
+$[~\{$ \moc{PRIM} $[$ \dusa{ielem} $]~|$ \moc{DUAL} $[$ \dusa{ielem} \dusa{icol} $]~|$ \moc{MCFD} $[$ \dusa{ielem} $]~|$ \moc{LUMP} $[$ \dusa{ielem} $]~\}~]$ \\
+$[$ \moc{SPN} $[$ \moc{DIFF} $]$ \dusa{nlf} $[$ \moc{SCAT} \dusa{iscat} $]~[$ \moc{VOID} \dusa{nvd} $]~]$ \\
+$[$ \moc{ADI} \dusa{nadi} $]$ \\
+$[$ \moc{VECT} $[$ \dusa{iseg} $]~[$ \moc{PRTV} \dusa{impv} $]~]$ \\
+;
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\moc{EDIT}] keyword used to set \dusa{iprint}.
+
+\item[\dusa{iprint}] index used to control the printing in module {\tt
+TRIVAT:}. =0 for no print; =1 for minimum printing (default value); Larger
+values produce increasing amounts of output.
+
+\item[\moc{TITL}] keyword which allows the run title to be set.
+
+\item[\dusa{TITLE}] the title associated with a TRIVAC run. This
+title may contain up to 72 characters. The default when \moc{TITL} is not specified is no title.
+
+\item[\moc{MAXR}] keyword which permits the maximum number of regions to be considered during a TRIVAC run to be specified.
+
+\item[\dusa{maxpts}] maximum dimensions of the problem to be considered. The
+default value is set to the number of regions previously computed by the {\tt
+GEO:} module but this value is insufficient if symmetries or mesh-splitting
+are specified.
+
+\item[\moc{PRIM}] keyword to set a discretization based on the variational collocation method.
+
+\item[\moc{DUAL}] keyword to set a mixed-dual finite element discretization. If the
+geometry is hexagonal, a Thomas-Raviart-Schneider method is used.\cite{rts}
+
+\item[\moc{MCFD}] keyword to set a discretization based on the nodal
+collocation method. The mesh centered finite difference approximation is the
+default option and is generally set using {\tt MCFD~1}. The {\tt MCFD}
+approximations are numerically equivalent to the {\tt DUAL} approximations
+with \dusa{icol}=2; however, the {\tt MCFD} approximations are less
+expensive.
+
+\item[\moc{LUMP}] keyword to set a discretization based on the nodal
+collocation method with serendipity approximation. The serendipity
+approximation is different from the \moc{MCFD} option in cases with \dusa{ielem}$\ge$2. This option is not available for hexagonal geometries.
+
+\item[\dusa{ielem}] order of the finite element representation. The values
+permitted are: 1 (linear polynomials), 2 (parabolic polynomials), 3 (cubic
+polynomials) or 4 (quartic polynomials). By default \dusa{ielem}=1.
+
+\item[\dusa{icol}] type of quadrature used to integrate the mass matrices.
+The values permitted are: 1 (analytical integration), 2 (Gauss-Lobatto
+quadrature) or 3 (Gauss-Legendre quadrature). By default \dusa{icol}=2. The
+analytical integration corresponds to classical finite elements; the
+Gauss-Lobatto quadrature corresponds to a variational or nodal type
+collocation and the Gauss-Legendre quadrature corresponds to superconvergent
+finite elements.
+
+\item[\moc{SPN}] keyword to set a simplified spherical harmonics ($SP_n$) expansion
+of the flux.\cite{nse2005,ane10a} This option is available with 1D, 2D and 3D Cartesian geometries and with 2D and 3D
+hexagonal geometries.
+
+\item[\moc{DIFF}] keyword to force using $1/3D^{g}$ as $\Sigma_1^{g}-\Sigma_{{\rm s}1}^{g}$ cross sections. A $P_1$ or $SP_1$ method
+will therefore behave as diffusion theory.
+
+\item[\dusa{nlf}] order of the $P_n$ or $SP_n$ expansion (odd number). Set to zero for diffusion theory (default value).
+
+\item[\moc{SCAT}] keyword to limit the anisotropy of scattering sources.
+
+\item[\dusa{iscat}] number of terms in the scattering sources. \dusa{iscat} $=1$ is used for
+isotropic scattering in the laboratory system. \dusa{iscat} $=2$ is used for
+linearly anisotropic scattering in the laboratory system. The default value is set to $n+1$
+in $P_n$ or $SP_n$ case.
+
+\item[\moc{VOID}] keyword to set the number of base points in the Gauss-Legendre quadrature used to integrate
+void boundary conditions if \dusa{icol} $=3$ and \dusa{n} $\ne 0$.
+
+\item[\dusa{nvd}] type of quadrature. The values
+permitted are: 0 (use a (\dusa{n}$+2$)--point quadrature consistent with $P_{\rm n}$ theory),
+1 (use a (\dusa{n}$+1$)--point quadrature consistent with $S_{{\rm n}+1}$ theory),
+2 (use an analytical integration of the void boundary conditions). By default \dusa{nvd}=0.
+
+\item[\moc{ADI}] keyword to set the number of ADI iterations at the inner
+iterative level.
+
+\item[\dusa{nadi}] number of ADI iterations (default: \dusa{nadi} $=2$).
+
+\item[\moc{VECT}] keyword to set an ADI preconditionning with
+supervectorization. By default, TRIVAC uses an ADI preconditionning without
+supervectorization.
+
+\item[\dusa{iseg}] width of a vectorial register. \dusa{iseg} is generally a multiple of 64. By default, \dusa{iseg}=64.
+
+\item[\moc{PRTV}] keyword used to set \dusa{impv}.
+
+\item[\dusa{impv}] index used to control the printing in supervectorization
+subroutines. =0 for no print; =1 for minimum printing (default value); Larger
+values produce increasing amounts of output.
+
+\end{ListeDeDescription}
+Various finite element approximations can be obtained with different values of \dusa{ielem} (see Sect.~\ref{sect:bivact}).
+\clearpage
+
+\subsection{The {\tt BIVACA:} module}
+
+The {\tt BIVACA:} module is used to compute the finite element system matrices (type {\tt L\_SYSTEM}) corresponding to a BIVAC {\sc tracking} (type {\tt L\_BIVAC}) and to a set of nuclear properties (type {\tt L\_MACROLIB}). The calling specifications are:
+
+\begin{DataStructure}{Structure \dstr{BIVACA:}}
+\dusa{SYST} \moc{:=} \moc{BIVACA:} $[$ \dusa{SYST} $]$ \dusa{MACRO} \dusa{TRACK} \moc{::} \dstr{bivaca\_data}
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\dusa{SYST}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_SYSTEM}) containing the system matrices. If \dusa{SYST} appears on the RHS, the system matrices previously stored in \dusa{SYST} are kept.
+
+\item[\dusa{MACRO}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_MACROLIB}) containing the macroscopic cross sections and diffusion coefficients.
+
+\item[\dusa{TRACK}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_BIVAC}) containing the BIVAC {\sc tracking}.
+
+\item[\dstr{bivaca\_data}] structure containing the data to module {\tt BIVACA:} (see Sect.~\ref{sect:bivaca_data}).
+
+\end{ListeDeDescription}
+
+\vskip 0.2cm
+
+\subsubsection{Data input for module {\tt BIVACA:}}\label{sect:bivaca_data}
+
+\begin{DataStructure}{Structure \dstr{bivaca\_data}}
+$[$ \moc{EDIT} \dusa{iprint} $]~[$ \moc{UNIT} $]$ \\
+;
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\moc{EDIT}] keyword used to set \dusa{iprint}.
+
+\item[\dusa{iprint}] index used to control the printing in module {\tt
+BIVACA:}. =0 for no print; =1 for minimum printing (default value); Larger
+values produce increasing amounts of output.
+
+\item[\moc{UNIT}] A system matrix corresponding to cross sections all set to 1.0 is computed. This keyword is mandatory if
+the system matrices in \dusa{SYST} are going to be used by \moc{INIKIN:} or \moc{KINSOL:} modules (see Sects.~\ref{sect:inikin}
+and~\ref{sect:kinsol}).
+
+\end{ListeDeDescription}
+\clearpage
+
+\subsection{The {\tt TRIVAA:} module}
+
+The TRIVAA: module is used to compute the finite element system matrices (type {\tt L\_SYSTEM}) corresponding to a TRIVAC {\sc tracking} (type {\tt L\_TRIVAC}) and to a set of nuclear properties (type {\tt L\_MACROLIB}). The calling specifications are:
+
+\begin{DataStructure}{Structure \dstr{TRIVAA:}}
+\dusa{SYST} \moc{:=} \moc{TRIVAA:} $[$ \dusa{SYST} $]$ \dusa{MACRO} \dusa{TRACK} $[$ \dusa{DMACRO} $]$ \moc{::} \dstr{trivaa\_data}
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\dusa{SYST}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_SYSTEM}) containing the system matrices. If \dusa{SYST} appears on the RHS, the system matrices previously stored in \dusa{SYST} are kept.
+
+\item[\dusa{MACRO}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_MACROLIB}) containing the macroscopic cross sections and diffusion coefficients.
+
+\item[\dusa{TRACK}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_TRIVAC}) containing the TRIVAC {\sc tracking}.
+
+\item[\dusa{DMACRO}] {\tt character*12} name of the {\sc lcm} object (type {\tt
+L\_MACROLIB}) containing derivatives or perturbations of the macroscopic cross
+sections and diffusion coefficients. If \dusa{DMACRO} is given, only
+the derivatives or perturbations of the system matrices are computed.
+
+\item[\dstr{trivaa\_data}] structure containing the data to module {\tt TRIVAA:} (see Sect.~\ref{sect:trivaa_data}).
+
+\end{ListeDeDescription}
+
+\vskip 0.2cm
+
+\subsubsection{Data input for module {\tt TRIVAA:}}\label{sect:trivaa_data}
+
+\begin{DataStructure}{Structure \dstr{trivaa\_data}}
+$[$ \moc{EDIT} \dusa{iprint} $]$ \\
+$[$ \moc{SKIP} $]$ $~[\{$ \moc{DERI} $|$ \moc{PERT} $\}]$ $~[$ \moc{UNIT} $]~[$ \moc{OVEL} $]$\\
+;
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\moc{EDIT}] keyword used to set \dusa{iprint}.
+
+\item[\dusa{iprint}] index used to control the printing in module {\tt
+TRIVAA:}. =0 for no print; =1 for minimum printing (default value); Larger
+values produce increasing amounts of output.
+
+\item[\moc{SKIP}] keyword used to skip the system matrix assembly but to perform the $L-D-L^T$ factorization. Use the system matrices already present in \dusa{SYST}.
+
+\item[\moc{DERI}] The information recovered from \dusa{DMACRO} is used as
+derivatives of nuclear properties with respect to a state variable.
+Derivatives of system matrices with respect to the same state variable are
+computed.
+
+\item[\moc{PERT}] The information recovered from \dusa{DMACRO} is used as
+the perturbation of the nuclear properties. Perturbations of the system matrices
+are computed.
+
+\item[\moc{UNIT}] A system matrix corresponding to cross sections all set to 1.0 is computed. This keyword is mandatory if
+the system matrices in \dusa{SYST} are going to be used by \moc{INIKIN:} or \moc{KINSOL:} modules (see Sects.~\ref{sect:inikin}
+and~\ref{sect:kinsol}).
+
+\item[\moc{OVEL}] The reciprocal neutron velocities for each material mixture are recovered from the input {\sc macrolib} \dusa{MACRO} and used
+to compute the corresponding system matrices. This capability is deprecated.
+
+\end{ListeDeDescription}
+\clearpage
+
+\subsection{The {\tt FLUD:} module}
+
+The {\tt FLUD:} module is used to compute the solution to an eigenvalue problem corresponding to a set of system matrices (type {\tt L\_SYSTEM}). The calling specifications are:
+
+\begin{DataStructure}{Structure \dstr{FLUD:}}
+\dusa{FLUX} \moc{:=} \moc{FLUD:} $[$ \dusa{FLUX} $]$ \dusa{SYST} \dusa{TRACK} $[$ \dusa{MACRO} $]$ \moc{::} \dstr{flud\_data}
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\dusa{FLUX}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_FLUX}) containing the solution. If \dusa{FLUX} appears on the RHS, the solution previously stored in \dusa{FLUX} is used to initialize the new iterative process; otherwise, a uniform unknown vector is used.
+
+\item[\dusa{SYST}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_SYSTEM}) containing the system matrices.
+
+\item[\dusa{TRACK}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_TRACK}) containing the {\sc tracking}.
+
+\item[\dusa{MACRO}] {\tt character*12} name of the optional {\sc lcm} object (type {\tt L\_MACROLIB}) containing the cross sections. This
+object is only used to set a link to the {\sc macrolib} name inside the {\sc flux} object. By default, the name of the {\sc macrolib} is recovered
+from the link in the {\sc system} object.
+
+\item[\dstr{flud\_data}] structure containing the data to module {\tt FLUD:} (see Sect.~\ref{sect:fld_data}).
+
+\end{ListeDeDescription}
+
+\vskip 0.2cm
+
+\subsubsection{Data input for module {\tt FLUD:}}\label{sect:fld_data}
+
+\begin{DataStructure}{Structure \dstr{flud\_data}}
+$[$ \moc{EDIT} \dusa{iprint} $]$ \\
+$[~\{$ \moc{VAR1} $|$ \moc{ACCE} $\}$ \dusa{icl1} \dusa{icl2} $]~[$ \moc{IRAM} \dusa{blsz} \dusa{korg}
+$[$ \dusa{nstard} $[$ \moc{EPSG} \dusa{epsmsr} $]~]~]$ \\
+$[$ \moc{EXTE} $[$ \dusa{maxout} $]~[$ \dusa{epsout} $]~]$ \\
+$[$ \moc{THER} $[$ \dusa{maxthr} $]~[$ \dusa{epsthr} $]~]$ \\
+$[$ \moc{ADI} \dusa{nadi} $]$ \\
+$[$ \moc{ADJ} $]$ \\
+$[$ \moc{MONI} \dusa{lmod} $[$ \moc{RAND} $]$ $]$ \\
+$[$ \moc{RELAX} \dusa{relax} $]$ \\
+;
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\moc{EDIT}] keyword used to set \dusa{iprint}.
+
+\item[\dusa{iprint}] index used to control the printing in module {\tt FLUD:}.
+=0 for no print; =1 for minimum printing (default value); =2 iteration history
+is printed; =3 the solution is printed; =4 at each iteration, the new solution
+is compared to a reference solution previously stored in \dusa{FLUX} under
+name {\tt REF}; =5 the convergence histogram is stored in \dusa{FLUX}.
+
+\item[\moc{VAR1}] keyword used to set the parameters \dusa{icl1} and \dusa{icl2}. These parameter are used with the symmetrical variational acceleration technique (SVAT) for convergence of the generalized eigenvalue problem (default option) and to accelerate up-scattering iterations.
+
+\item[\moc{ACCE}] alias keyword for \moc{VAR1}.
+
+\item[\dusa{icl1}] number of free outer iterations in a cycle of the variational acceleration technique.
+The default value is \dusa{icl1} $=3$.
+
+\item[\dusa{icl2}] number of accelerated outer iterations in a cycle of the
+variational acceleration technique. The default value is \dusa{icl2} $=3$. A convergence in free iterations is
+obtained by setting \dusa{icl1} $=200$ (or \dusa{icl1} $=$ \dusa{maxout}) and \dusa{icl2} $=0$.
+
+\item[\moc{IRAM}] keyword used to to switch on the implicit restarted Arnoldi method (IRAM) and to
+set the parameters \dusa{blsz}, \dusa{korg} and \dusa{nstard}.\cite{iram} By default, the symmetrical variational acceleration technique (SVAT) is used.
+
+\item[\dusa{blsz}] block size of the Arnoldi Hessenberg matrix. \dusa{blsz} is the number of fixed-source Boltzmann transport
+equations solved similtaneously at each iteration of the implicit restarted Arnoldi method. The recommended value is \dusa{blsz} $=3$.
+
+\item[\dusa{korg}] number of desired eigenvalues with \dusa{korg} $\ge$ \dusa{blsz}.
+
+\item[\dusa{nstard}] number of iterations before restarting with the GMRES(m) acceleration method for solving the ADI-preconditionned linear systems in Trivac. The maximum number of GMRES iterations is set to \dusa{nadi}. By default, GMRES(m) acceleration is not used and \dusa{nadi} free iterations are performed.
+
+\item[\moc{EPSG}] keyword to specify the inner iteration GMRES epsilon.
+
+\item[\dusa{epsmsr}] convergence criterion for the inner iteration GMRES iterations. The
+fixed default value is \dusa{epsmsr} $=1.0\times 10^{-6}$.
+
+\item[\moc{EXTE}] keyword to specify that the control parameters for the
+external iteration are to be modified.
+
+\item[\dusa{maxout}] maximum number of external iterations. The fixed default
+value is \dusa{maxout} $=200$.
+
+\item[\dusa{epsout}] convergence criterion for the external iterations. The
+fixed default value is \dusa{epsout} $=1.0\times 10^{-4}$. The outer iterations are stopped when the following criteria is reached:
+$$\max_i | \Phi_i^{(k-1)} - \Phi_i^{(k)} | \ \le \ epsout \times \max_i | \Phi_i^{(k)} |$$
+\noindent where $\vec\Phi^{(k)}={\rm col}\{\Phi_i^{(k)} \ ; \ i=1,I\}$ is the product of the $B$ matrix times the unknown vector at the $k$-th outer iteration.
+
+\item[\moc{THER}] keyword to specify that the control parameters for the
+thermal iterations are to be modified.
+
+\item[\dusa{maxthr}] maximum number of thermal iterations. The fixed default
+value is \dusa{maxthr} $=0$ corresponding to no thermal iterations.
+
+\item[\dusa{epsthr}] convergence criterion for the thermal iterations. The
+fixed default value is \dusa{epsthr} $=1.0\times 10^{-5}$.
+
+\item[\moc{ADI}] keyword used to set the number of alternating direction implicit (ADI) inner iterations in cases where Trivac is used.
+This keyword is also used to set the number of flux iterations over Legendre orders with $SP_n$ Bivac and Trivac cases if $n\ge 3$.
+
+\item[\dusa{nadi}] number of ADI inner or Legendre order iterations per outer iteration. The default value is $nadi=1$. If this value causes a failure of the acceleration process, it is recommended that a larger value be tried. The optimal
+choice is generally the minimum value of $nadi$ which allows a convergence in
+less than 75 outer iterations. $nadi=1$ or $nadi=2$ is generally the best
+choice for production-type calculations. The greater $nadi$ is, the smaller
+the asymptotic convergence constant (ACC) becomes. Taking an arbitrary large
+value (e.g., $nadi=20$) leads to numerical results identical to those of the
+inverse power method where the system matrices are accurately inverted at each
+outer iteration (at a prohibitive CPU cost). In this case, the ACC is almost
+equal to the dominance ratio of the iterative matrix. The default value is
+recovered in the state vector of the {\sc tracking} object \dusa{TRACK}.
+
+\item[\moc{ADJ}] keyword used to obtain the solution to both the direct and adjoint eigenvalue problems.
+The adjoint solution is required if we subsequently want to perform a perturbation calculation. This option is limited to Trivac.
+
+\item[\moc{MONI}] keyword used to obtain the first harmonics of the solution and to set \dusa{lmod}. {\sl A full core representation of the reactor should be used to compute its harmonics. If symmetries are set in the geometry, some harmonics may be skipped. If the reactor is symmetric, a uniform initial estimate of the harmonics may cause some harmonics to be skipped; the keyword \moc{RAND} should therefore be used.}
+
+\item[\dusa{lmod}] the $lmod$ first bi-orthonormalized harmonics of the solution are computed using the SVAT-accelerated preconditioned power method with a Hotelling deflation procedure.\cite{wilkinson}
+
+\item[\moc{RAND}] keyword used to initialize the harmonics calculations
+(option \moc{MONI}) with a random estimate rather than a uniform estimate.
+This option has no effect if \dusa{FLUX} appears on the RHS.
+
+\item[\moc{RELAX}] keyword used to set the relaxation parameter. This keyword must be specified each time a relaxation is required.
+
+\item[\dusa{relax}] relaxation parameter selected in the interval $0<$ \dusa{relax} $\le 1.0$ and used to update
+the flux information in the \dusa{FLUX} object. The updated value is taken equal to
+$(1.0-$\dusa{relax}$)$ times the previous value (given in the RHS \dusa{FLUX} object) plus \dusa{relax} times the value computed within current {\tt FLUD:} call.
+The default value is \dusa{relax} $=1.0$.
+
+\end{ListeDeDescription}
+\clearpage
+
+\subsection{The {\tt DELTA:} module}
+
+The {\tt DELTA:} module is used to compute the source components of a fixed source eigenvalue problem corresponding to a set of
+unperturbed and perturbation system matrices (type {\tt L\_SYSTEM}).
+
+In the direct case, the fixed source is computed as:
+\begin{equation}
+\vec S=\left( \delta\shadowA - \lambda_o \, \delta \shadowB\right) \vec \Phi - \delta \lambda \, \shadowB_o\vec \Phi
+\end{equation}
+\noindent where the direct source vector $\vec S$ is orthogonal to the unperturbed adjoint flux $\Phi^*$.
+
+In the adjoint case, the fixed source is computed as:
+\begin{equation}
+\vec S^*=\left( \delta \shadowA^\top - \lambda_o \, \delta \shadowB^\top\right) \vec \Phi^*- \delta \lambda \, \shadowB_o^\top\vec \Phi^*
+\end{equation}
+\noindent where the adjoint source vector $\vec S^*$ is orthogonal to the unperturbed direct flux $\Phi$ and where $\delta \lambda$ is the perturbation of the eigenvalue, as computed from the Rayleigh ratio.
+
+The calling specifications are:
+
+\begin{DataStructure}{Structure \dstr{DELTA:}}
+\dusa{GPT} \moc{:=} \moc{DELTA:} $[$ \dusa{GPT} $]$ \dusa{FLUX0} \dusa{SYST0} \dusa{DSYST} \dusa{TRACK} \moc{::} \dstr{delta\_data}
+\end{DataStructure}
+
+\goodbreak
+\noindent where
+
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\dusa{GPT}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_SOURCE}) containing the fixed source. If
+\dusa{GPT} appears on the RHS, this information is used to initialize the state vector.
+
+\item[\dusa{FLUX0}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_FLUX}) containing the unperturbed flux.
+
+\item[\dusa{SYST0}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_SYSTEM}) containing the unperturbed system matrices.
+
+\item[\dusa{DSYST}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_SYSTEM}) containing a perturbation to the system matrices.
+
+\item[\dusa{TRACK}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_TRACK}) containing the {\sc tracking}.
+
+\item[\dstr{delta\_data}] structure containing the data to module {\tt DELTA:} (see Sect.~\ref{sect:delta_data}).
+
+\end{ListeDeDescription}
+
+\vskip 0.2cm
+
+\subsubsection{Data input for module {\tt DELTA:}}\label{sect:delta_data}
+
+\begin{DataStructure}{Structure \dstr{delta\_data}}
+$[$ \moc{EDIT} \dusa{iprint} $]$ \\
+$[$ \moc{ADJ} $]$ \\
+;
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\moc{EDIT}] keyword used to set \dusa{iprint}.
+
+\item[\dusa{iprint}] index used to control the printing in module {\tt DELTA:}.
+
+\item[\moc{ADJ}] keyword used to set the source on an adjoint fixed source eigenvalue problem.
+
+\end{ListeDeDescription}
+\clearpage
+
+\subsection{The {\tt GPTFLU:} module}
+
+The {\tt GPTFLU:} module is used to compute the solution to a fixed source eigenvalue
+problem corresponding to a set of unperturbed system matrices and sources vectors.
+
+If $\vec S$ is the source term of the explicit generalized adjoint equation, this
+module will solve:
+\begin{equation}
+\left( \shadowA_o - \lambda_o \, \shadowB_o\right) \vec \Gamma_{i} = \vec S_{i}
+\end{equation}
+\noindent where the direct source vector $\vec S_{i}$ is orthogonal to the adjoint flux.
+
+If $\vec S$ is the source term of the implicit generalized adjoint equation, this
+module will solve:
+\begin{equation}
+\left( \shadowA_o^\top - \lambda_o \, \shadowB_o^\top\right) \vec \Gamma_{j}^* = \vec S_{j}^{*}
+\end{equation}
+\noindent where the adjoint source vector $\vec S_{j}^*$ is orthogonal to the direct flux.
+
+The calling specifications are:
+
+\begin{DataStructure}{Structure \dstr{GPTFLU:}}
+\dusa{FLUX\_GPT} \moc{:=} \moc{GPTFLU:} $[$ \dusa{FLUX\_GPT} $]$ \dusa{GPT} \dusa{FLUX0} \dusa{SYST} \dusa{TRACK} \moc{::} \dstr{gptflu\_data}
+\end{DataStructure}
+
+\goodbreak
+\noindent where
+
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\dusa{FLUX\_GPT}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_FLUX}) containing the GPT solution. If \dusa{FLUX\_GPT} appears on the RHS, the solution previously stored in \dusa{FLUX\_GPT} is used to initialize the new iterative process; otherwise, a uniform unknown vector is used.
+
+\item[\dusa{GPT}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_SOURCE}) containing the fixed sources.
+
+\item[\dusa{FLUX0}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_FLUX}) containing the unperturbed flux used to decontaminate the GPT solution.
+
+\item[\dusa{SYST}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_SYSTEM}) containing the unperturbed system matrices.
+
+\item[\dusa{TRACK}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_TRACK}) containing the {\sc tracking}.
+
+\item[\dstr{gptflu\_data}] structure containing the data to module {\tt GPTFLU:}\label{sect:gptflu_data}.
+
+\end{ListeDeDescription}
+
+\vskip 0.2cm
+
+\subsubsection{Data input for module {\tt GPTFLU:}}\label{sect:gptflu_data}
+
+\begin{DataStructure}{Structure \dstr{gptflu\_data}}
+$[$ \moc{EDIT} \dusa{iprint} $]$ \\
+$[~\{$ \moc{VAR1} $|$ \moc{ACCE} $\}$ \dusa{icl1} \dusa{icl2} $]~[$ \moc{GMRES} \dusa{nstart} $]$ \\
+$[$ \moc{EXTE} $[$ \dusa{maxout} $]~[$ \dusa{epsout} $]~]$ \\
+$[$ \moc{THER} $[$ \dusa{maxthr} $]~[$ \dusa{epsthr} $]~]$ \\
+$[$ \moc{ADI} \dusa{nadi} $]$ \\
+$[$ \{ \moc{EXPLICIT} $|$ \moc{IMPLICIT} \} $]$ \\
+\moc{FROM-TO} $\{$ \moc{ALL} $|$ \dusa{$i_{src1}$} \dusa{$i_{src2}$} $\}$ \\
+;
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\moc{EDIT}] keyword used to set \dusa{iprint}.
+
+\item[\dusa{iprint}] index used to control the printing in module {\tt GPTFLU:}.
+=0 for no print; =1 for minimum printing (default value); =2 iteration history
+is printed; =3 the solution is printed; =4 at each iteration, the new solution
+is compared to a reference solution previously stored in \dusa{FLUX\_GPT} under
+the name {\tt REF}; =5 the convergence histogram is stored in \dusa{FLUX\_GPT}.
+
+\item[\moc{VAR1}] keyword used to set the parameters \dusa{icl1} and \dusa{icl2}. These parameter are used with the variational acceleration technique for convergence of the fixed-source iterations (default option) and to accelerate up-scattering iterations.
+
+\item[\moc{ACCE}] alias keyword for \moc{VAR1}.
+
+\item[\dusa{icl1}] number of free outer iterations in a cycle of the variational acceleration technique. The default value is \dusa{icl1} $=3$.
+
+\item[\dusa{icl2}] number of accelerated outer iterations in a cycle of the variational acceleration technique. The default value is \dusa{icl2} $=3$. A convergence in free iterations is obtained by setting \dusa{icl1} $=200$ (or \dusa{icl1} $=$ \dusa{maxout}) and \dusa{icl2} $=0$.
+
+\item[\moc{GMRES}] keyword to switch on the GMRES(m) acceleration of the fixed-source iterations. By default, the variational acceleration technique is used.
+
+\item[\dusa{nstart}] restarts the GMRES method every \dusa{nstart} outer iterations. The recommended value is \dusa{nstart} $=10$.
+
+\item[\moc{EXTE}] keyword to specify that the control parameters for the
+external iteration are to be modified.
+
+\item[\dusa{maxout}] maximum number of external iterations. The fixed default
+value is \dusa{maxout} $=200$.
+
+\item[\dusa{epsout}] convergence criterion for the external iterations. The
+fixed default value is \dusa{epsout} $=1.0\times 10^{-4}$. The outer iterations are stopped when the following criteria is reached:
+$$\max_i | \Gamma_i^{(k-1)} - \Gamma_i^{(k)} | \ \le \ epsout \times \max_i | \Gamma_i^{(k)} |$$
+\noindent where $\vec\Gamma^{(k)}={\rm col}\{\Gamma_i^{(k)} \ ; \ i=1,I\}$ is the product of the $\shadowB$ matrix times the unknown vector at the $k$-th outer iteration.
+
+\item[\moc{THER}] keyword to specify that the control parameters for the
+thermal iterations are to be modified.
+
+\item[\dusa{maxthr}] maximum number of thermal iterations. The fixed default
+value is \dusa{maxthr} $=0$ corresponding to no thermal iterations.
+
+\item[\dusa{epsthr}] convergence criterion for the thermal iterations. The
+fixed default value is \dusa{epsthr} $=1.0\times 10^{-2}$.
+
+\item[\moc{ADI}] keyword used to set \dusa{nadi} in cases where Trivac is used.
+
+\item[\dusa{nadi}] number of alternating direction implicit (ADI) inner
+iterations per outer iteration. The default value is $nadi=1$. If this value causes a failure of the acceleration process, it is recommended that a larger value be tried. The optimal
+choice is generally the minimum value of $nadi$ which allows a convergence in
+less than 75 outer iterations. $nadi=1$ or $nadi=2$ is generally the best
+choice for production-type calculations. The greater $nadi$ is, the smaller
+the asymptotic convergence constant (ACC) becomes. Taking an arbitrary large
+value (e.g., $nadi=20$) leads to numerical results identical to those obtained by
+inverting the system matrices at each
+outer iteration (at a prohibitive CPU cost). In this case, the ACC is almost
+equal to the dominance ratio of the iterative matrix.
+
+\item[\moc{EXPLICIT}] keyword used to obtain the solution of an direct fixed source eigenvalue problem.
+
+\item[\moc{IMPLICIT}] keyword used to obtain the solution of an adjoint fixed source eigenvalue problem. If neither
+'\moc{EXPLICIT}' nor '\moc{IMPLICIT}' are provided the default value will be chosen as a function of $n_{var}$ and $n_{cst}+1$.
+
+\item[\moc{FROM-TO}] keyword used to specify the numbers of the sources for which a generalized adjoint will be calculated.
+
+\item[\moc{ALL}] keyword used to recover all sources available in \dusa{GPT}.
+
+\item[\dusa{$i_{src1}$}] number of the first source.
+
+\item[\dusa{$i_{src1}$}] number of the last source.
+
+\end{ListeDeDescription}
+\clearpage
+
+\subsection{The {\tt OUT:} module}
+
+The {\tt OUT:} module is used to compute the reaction rates and to store them in an extended {\sc macrolib} (type {\tt L\_MACROLIB}) corresponding to a solution (type {\tt L\_FLUX}) of the matrix system. The calling specifications are:
+
+\begin{DataStructure}{Structure \dstr{OUT:}}
+\dusa{MACRO2} \moc{:=} \moc{OUT:} \dusa{FLUX} \dusa{TRACK} \dusa{MACRO} \dusa{GEOM} \moc{::} \dstr{out\_data}
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\dusa{MACRO2}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_MACROLIB}) containing the extended {\sc macrolib}.
+
+\item[\dusa{FLUX}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_FLUX}) containing a solution.
+
+\item[\dusa{TRACK}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_TRACK}) containing a {\sc tracking}.
+
+\item[\dusa{MACRO}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_MACROLIB}) containing the reference {\sc macrolib}.
+
+\item[\dusa{GEOM}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_GEOM}) containing the reference {\sc geometry}.
+
+\item[\dstr{out\_data}] structure containing the data to module {\tt OUT:}\label{sect:out_data}.
+
+\end{ListeDeDescription}
+
+\vskip 0.2cm
+
+\subsubsection{Data input for module {\tt OUT:}}\label{sect:out_data}
+
+\begin{DataStructure}{Structure \dstr{out\_data}}
+$[$ \moc{EDIT} \dusa{iprint} $]$ \\
+$[$ \moc{MODE} \dusa{imode} $]$ \\
+$[~\{$ \moc{DIRE} $|$ \moc{PROD} $\}~]$ \\
+$[~\{$ \moc{POWR} \dusa{power} $|$ \moc{SOUR} \dusa{snumb} $\}~]$ \\
+$[$ \moc{COND} $[~\{$ \moc{NONE} $|$ (\dusa{icond}(i), i=1,ngcond) $\}~]~]$ \\
+$[$ \moc{INTG} $\{$ \moc{NONE} $|$ \moc{IN} $|$ \moc{MIX} $|$ (\dusa{ihom}(i), i=1,nreg) $\}~]$ \\
+;
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\moc{EDIT}] keyword used to set \dusa{iprint}.
+
+\item[\dusa{iprint}] index used to control the printing in module {\tt OUT:}. =0 for no print; =1 for minimum printing (default value).
+
+\item[\moc{MODE}] keyword to specify the flux harmonic index \dusa{imode}.
+
+\item[\dusa{imode}] index of the flux harmonic recovered by the {\tt OUT:} module if the {\tt MONI} keyword was set in module {\tt FLUD:}
+(see Sect.~\ref{sect:fld_data}). By default, it is assumed that the {\tt MONI} keyword was not used.
+
+\item[\moc{DIRE}] use the direct flux to perform homogenization and/or condensation (default option).
+
+\item[\moc{PROD}] use the product of adjoint and direct fluxes to perform homogenization and/or condensation.
+
+\item[\moc{POWR}] keyword used to set \dusa{power}.
+
+\item[\dusa{power}] value of the power in MW used to normalize the flux. By default, the flux is not normalized.
+
+\item[\moc{SOUR}] keyword used to set \dusa{snumb}.
+
+\item[\dusa{snumb}] number of source particles used to normalize the flux. By default, the flux is not normalized.
+
+\item[\moc{COND}] keyword to specify that a group condensation of the flux is
+to be performed. By default, no group condensation of the flux is
+to be performed, so that \dusa{ngcond}$=$\dusa{ngroup}.
+
+\item[\dusa{icond}] array of increasing energy group limits that will be associated with
+each of the \dusa{ngcond} condensed groups. We must have \dusa{ngcond}$\le$\dusa{ngroup}. By default, if \moc{COND} is set
+and \dusa{icond} is not set, all energy groups are condensed together.
+
+\item[\moc{NONE}] keyword to specify that no group condensation of the flux is
+to be performed, so that \dusa{ngcond}$=$\dusa{ngroup} (default option).
+
+\item[\moc{INTG}] keyword used to compute the reaction rates.
+
+\item[\moc{NONE}] keyword for computing the reaction rates on the geometry mesh (see Sect.~\ref{sect:geo_data1}) after mesh-splitting.
+
+\item[\moc{IN}] keyword for computing the reaction rates on the geometry mesh (see Sect.~\ref{sect:geo_data1}) before mesh-splitting.
+
+\item[\moc{MIX}] keyword for computing the reaction rates on the mixture mesh previously used to define the geometry (see Sect.~\ref{sect:geo_data1}) before mesh-splitting.
+
+\item[\dusa{ihom}] index of the homogenized region corresponding to the each region of the geometry (see Sect.~\ref{sect:geo_data1}) before mesh-splitting.
+
+\end{ListeDeDescription}
+\clearpage
+
+\subsection{The {\tt ERROR:} module}
+
+The {\tt ERROR:} module is used to compare reaction rates contained into two extended {\sc macrolibs} and to print statistics regarding the comparison.
+
+\vskip 0.2cm
+
+The QUANDRY-type power densities are first compared. These power densities are defined by the following relation:
+
+$$P^{\rm quandry}_i={\sum\limits_i V_i \over V_i} {P_i \over \sum\limits_i P_i}$$
+
+\noindent where $P_i$ is the total power and $V_i$ is the volume of the region $i$. The maximum and averaged errors are respectively defined by:
+
+$$\epsilon_{\rm max}=\max_i {|P_i^{\rm quandry}-P_i^{{\rm quandry}*}| \over P_i^{{\rm quandry}*}}$$
+
+\noindent and
+
+$$\bar\epsilon = {1 \over V_{\rm core}} \sum_i \left[ {|P_i^{\rm quandry}-P_i^{{\rm quandry}*}| \over P_i^{{\rm quandry}*}}\right] V_i$$
+
+\noindent where $P_i^{{\rm quandry}*}$ is computed using the reference powers (stored in \dusa{MACRO1}) and $V_{\rm core}$ is the total volume of the regions where the power density is not equal to zero.
+
+\vskip 0.2cm
+
+The normalized removal rates $T_{i,g}^{\rm norm}$ in each region $i$ and energy group $g$ are next computed using the following formula:
+
+$$T_{i,g}=(\Sigma_{i,g} -\Sigma_{{\rm w}i,g}) \ \phi_{i,g} V_i$$
+
+$$T_{i,g}^{\rm norm}={1 \over \sum\limits_i \sum\limits_g T_{i,g}} \ T_{i,g}$$
+
+\noindent where $\Sigma_{i,g}$ is the total macroscopic cross section, $\Sigma_{{\rm w}i,g}$ is the within-group scattering cross section and $\phi_{i,g}$ is the neutron flux. The maximum and averaged errors are respectively defined by:
+
+$$\epsilon_{{\rm max} \ g}=\max_i {|T_{i,g}^{\rm norm}-T_{i,g}^{{\rm norm}*}| \over T_{i,g}^{{\rm norm}*}}$$
+
+\noindent and
+
+$$\bar\epsilon_g = {1 \over N} \sum_i \left[ {|T_{i,g}^{\rm norm}-T_{i,g}^{{\rm norm}*}| \over T_{i,g}^{{\rm norm}*}}\right]$$
+
+\noindent where $T_{i,g}^{{\rm norm}*}$ is computed using the reference values (stored in \dusa{MACRO1}) and $N$ is the total number of regions in the {\sc macrolib}.
+
+\vskip 0.2cm
+\goodbreak
+
+The calling specifications are:
+
+\begin{DataStructure}{Structure \dstr{ERROR:}}
+\moc{ERROR:} \dusa{MACRO1} \dusa{MACRO2} \moc{::} $[$ \moc{HREA} \dusa{hname} $]~[$ \moc{NREG} \dusa{nreg} $]$ ;
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\dusa{MACRO1}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_MACROLIB}) containing the extended {\sc macrolib} used to compute the reference reaction rates.
+
+\item[\dusa{MACRO2}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_MACROLIB}) containing the extended {\sc macrolib} used to compute the approximate reaction rates.
+
+\item[\moc{HREA}] keyword used to set the character name \dusa{hname}.
+
+\item[\dusa{hname}] character*8 name of the nuclear reaction used to compute the power map. By default, reaction {\tt H-FACTOR} is used.
+
+\item[\moc{NREG}] keyword used to set the \dusa{nreg} number.
+
+\item[\dusa{nreg}] integer number set to the number of regions used in statistics. By default, all available regions are used.
+
+\end{ListeDeDescription}
+\clearpage
+
+\subsection{The {\tt INIKIN:} module}\label{sect:inikin}
+
+The {\tt INIKIN:} module is used to recover the steady-state solution and to initialize the kinetics parameters.
+The delayed neutron information can be provided directly from the input file or recovered from the {\sc macrolib}
+data structure.
+
+The initial presursor concentrations are obtained as a function of the strady-state solution. If $\phi_g(\bff(r),t_0)$ is
+the initial flux in energy group $g$ divided by $k_{\rm eff}$, the corresponding initial conditions of the precursors are obtained as
+\begin{equation}
+c_{\ell}(\bff(r),t_0)={1 \over \lambda_\ell} \sum_{h=1}^G \nu\Sigma_{{\rm f}\ell,h}^{\rm del}(\bff(r)) \, \phi_h(\bff(r),t_0) ; \ \ \ \ell=1,N_d .
+\label{eq:eq_inikin_1}
+\end{equation}
+
+\noindent where $\nu\Sigma_{{\rm f}\ell,h}^{\rm del}(\bff(r))$ is $\nu$ times the delayed macroscopic fission cross section in energy group
+$h$ for precursor group $\ell$.
+
+The calling specifications are:
+
+\begin{DataStructure}{Structure \dstr{INIKIN:}}
+\dusa{KINET} \moc{:=} \moc{INIKIN:} \dusa{MACRO} \dusa{TRACK} \dusa{SYST} \dusa{FLUX} \moc{::} \dstr{inikin\_data}
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\dusa{KINET}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_KINET}) to be created by the module.
+
+\item[\dusa{MACRO}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_MACROLIB}) containing the {\sc macrolib} information.
+
+\item[\dusa{TRACK}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_TRACK}) containing the {\sc tracking} information.
+
+\item[\dusa{SYST}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_SYSTEM}) corresponding to {\sc macrolib} \dusa{MACRO}
+and {\sc tracking} \dusa{TRACK}.
+
+\item[\dusa{FLUX}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_FLUX}) containing the initial steady-state solution.
+
+\item[\dstr{inikin\_data}] structure containing the data to module {\tt INIKIN:} (see Sect.~\ref{sect:inikin_data}).
+
+\end{ListeDeDescription}
+
+\vskip 0.2cm
+
+\subsubsection{Data input for module {\tt INIKIN:}}\label{sect:inikin_data}
+
+\begin{DataStructure}{Structure \dstr{inikin\_data}}
+$[$ \moc{EDIT} \dusa{iprint} $]$ \\
+$[$ \moc{NGRP} \dusa{ngrp} $]$ \\
+~\moc{NDEL} \dusa{ndg} \\
+$[$ \moc{BETA} (\dusa{beta}(i), i=1,\dusa{ndg}) $]$ \\
+$[$ \moc{LAMBDA} (\dusa{lambda}(i), i=1,\dusa{ndg}) $]$ \\
+$[$ \moc{CHID} ((\dusa{chid}(i), i=1,\dusa{ndg}), j=1,\dusa{ngrp}) $]$ \\
+$[$ \moc{NORM} $\{$ \dusa{fnorm} $|$ \moc{MAX} $|$ \moc{POWER-INI} \dusa{power} $\}~]$ \\
+;
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\moc{EDIT}] keyword used to set \dusa{iprint} index.
+
+\item[\dusa{iprint}] integer index used to control the printing in module {\tt INIKIN:}.
+=0 for no print; =1 for minimum printing (default value); larger values of \dusa{iprint}
+will produce increasing amounts of output.
+
+\item[\moc{NGRP}] keyword used to set the \dusa{ngrp} number. By default, this information is recovered from the solution object
+\dusa{FLUX}.
+
+\item[\dusa{ngrp}] integer total number of energy groups.
+
+\item[\moc{NDEL}] keyword used to set the \dusa{ndg} number.
+
+\item[\dusa{ndg}] integer total number of the delayed neutron groups.
+
+\item[\moc{BETA}] keyword used to indicate the reading of \dusa{beta} values from the input file.
+If these values are not provided, they should be recorded in the {\sc macrolib} data structure.
+
+\item[\dusa{beta}] real array containing the delayed neutron fractions for each delayed group.
+
+\item[\moc{LAMBDA}] keyword used to indicate the reading of \dusa{lambda} values from the input file.
+If these values are not provided, they should be recorded in the {\sc macrolib} data structure.
+
+\item[\dusa{lambda}] real array containing the precursors decay constants for each delayed group.
+
+\item[\moc{CHID}] keyword used to indicate the reading of \dusa{chid} values from the input file.
+If these values are not provided, they should be recorded in the {\sc macrolib} data structure.
+
+\item[\dusa{chid}] real array representing the delayed multigroup fission spectrum.
+
+\item[\moc{NORM}] keyword used to normalize the initial flux. By default, the flux is not normalized.
+
+\item[\dusa{fnorm}] real normalization factor.
+
+\item[\moc{MAX}] keyword used to set the flux normalization factor to $1/f_{\rm max}$ where $f_{\rm max}$ is
+the maximum flux in the core.
+
+\item[\moc{POWER-INI}] keyword used to set the flux normalization factor to a given value of the initial power.
+
+\item[\dusa{power}] real initial power in MW.
+
+\end{ListeDeDescription}
+\clearpage
+
+\subsection{The {\tt KINSOL:} module}\label{sect:kinsol}
+
+The {\tt KINSOL:} module is used to solve the space-time neutron kinetics equations at current time step of transient.
+
+\subsubsection{The direct (forward) solution}
+
+We first consider the discretization of the legacy forward space-time kinetics equation. Several implicit numerical schemes are available for this purpose.
+Consider first the differential equation for precursor concentrations:
+\begin{equation}
+{\partial c_{\ell}(\bff(r),t) \over \partial t}+\lambda_\ell \, c_{\ell}(\bff(r),t) =\sum_{h=1}^G \nu\Sigma_{{\rm f}\ell,h}^{\rm del}(\bff(r)) \, \phi_h(\bff(r),t); \ \ \
+\ell=1,N_d.
+\label{eq:eq_inikin_2}
+\end{equation}
+
+Consider a solution between times $t_{n-1}$ and $t_{n}=t_{n-1}+\Delta t_n$. First, an analytic solution can be obtained by assuming a ramp
+variation of the fission reaction rates over time step $\Delta t_n$. This solution is written
+\begin{eqnarray}
+\nonumber c_{\ell}(\bff(r),t_n)\negthinspace\negthinspace&=&\negthinspace\negthinspace c_{\ell}(\bff(r),t_{n-1}) \, {\rm e}^{-\lambda_\ell \, \Delta t_n}+{F_\ell(\bff(r),t_{n-1})\over \lambda_\ell} \left[
+{1\over\lambda_\ell \, \Delta t_n}\left( 1- {\rm e}^{-\lambda_\ell \, \Delta t_n}\right)-{\rm e}^{-\lambda_\ell \, \Delta t_n} \right] \\
+&+&\negthinspace\negthinspace {F_\ell(\bff(r),t_n)\over \lambda_\ell} \left[ 1-{1\over\lambda_\ell \, \Delta t_n}\left( 1- {\rm e}^{-\lambda_\ell \, \Delta t_n}\right) \right]
+\label{eq:eq_inikin_3}
+\end{eqnarray}
+
+\noindent where the delayed fission reaction rates are defined as
+\begin{eqnarray}
+F_\ell(\bff(r),t_{n})=\sum_{h=1}^G \nu\Sigma_{{\rm f}\ell,h}^{\rm del}(\bff(r)) \, \phi_h(\bff(r),t_n)=\beta_\ell \sum_{h=1}^G \nu\Sigma_{{\rm f}h}(\bff(r)) \, \phi_h(\bff(r),t_n) .
+\label{eq:eq_inikin_4}
+\end{eqnarray}
+
+An {\sl implicit theta solution} is presented in Chapter~5 of Ref.~\citen{PIP2009}. This solution is written
+\begin{eqnarray}
+\nonumber c_{\ell}(\bff(r),t_n)\negthinspace\negthinspace&=&\negthinspace\negthinspace \left[ {1-(1- \Theta_{\rm p}) \, \lambda_\ell \, \Delta t_n \over 1+ \Theta_{\rm p}\, \lambda_\ell \, \Delta t_n }\right] c_{\ell}(\bff(r),t_{n-1}) +{F_\ell(\bff(r),t_{n-1})\over \lambda_\ell} \left[{(1- \Theta_{\rm p}) \, \lambda_\ell \, \Delta t_n\over 1+ \Theta_{\rm p}\, \lambda_\ell \, \Delta t_n } \right] \\
+&+&\negthinspace\negthinspace{F_\ell(\bff(r),t_n)\over \lambda_\ell} \left[{ \Theta_{\rm p} \, \lambda_\ell \,\Delta t_n\over 1+ \Theta_{\rm p}\, \lambda_\ell \, \Delta t_n} \right]
+\label{eq:eq_inikin_5}
+\end{eqnarray}
+
+\noindent where $\Theta_{\rm p}$ is the theta-factor for precursors.
+
+The fixed-source corresponding to the analytic solution for precursors is written
+\begin{eqnarray}
+\nonumber S_g^{\rm exact}(\bff(r),t_n)\negthinspace\negthinspace&=&\negthinspace\negthinspace{1\over V_{{\rm n},g}\, \Delta t_n} \,\phi_g(\bff(r),t_{n-1}) + \sum_\ell\lambda_\ell \left[ 1- \Theta_{\rm f}+ \Theta_{\rm f} \, {\rm e}^{-\lambda_\ell \, \Delta t_n}\right]\chi_{\ell,g}^{\rm del}(\bff(r)) \, c_\ell(\bff(r),t_{n-1})\\
+\nonumber &+& \negthinspace\negthinspace(1- \Theta_{\rm f})\bigg\{\bff(\nabla) \cdot \shadowD_g(\bff(r)) \bff(\nabla) \phi_g(\bff(r),t_{n-1}) - \Sigma_{{\rm r}g}(\bff(r)) \, \phi_g(\bff(r),t_{n-1}) \\
+\nonumber&+&\negthinspace\negthinspace \sum_{{h=1} \atop {h \not= g}}^G \Sigma_{g \leftarrow h}(\bff(r)) \, \phi_h(\bff(r),t_{n-1})+\chi_g^{\rm ss}(\bff(r))\, F(\bff(r),t_{n-1})\bigg\} \\
+&-& \negthinspace\negthinspace \sum_\ell \left[1- \Theta_{\rm f}- \Theta_{\rm f} \left(
+{1\over\lambda_\ell \, \Delta t_n}\left( 1- {\rm e}^{-\lambda_\ell \, \Delta t_n}\right)-{\rm e}^{-\lambda_\ell \, \Delta t_n} \right) \right] \chi_{\ell,g}^{\rm del}(\bff(r)) \, F_\ell(\bff(r),t_{n-1})
+\label{eq:eq_inikin_6}
+\end{eqnarray}
+
+\noindent where the steady-state fission reaction rates are defined as
+\begin{eqnarray}
+F(\bff(r),t_{n})=\sum_{h=1}^G \nu\Sigma_{{\rm f}h}(\bff(r)) \, \phi_h(\bff(r),t_n) .
+\label{eq:eq_inikin_7}
+\end{eqnarray}
+
+The fixed-source corresponding to the implicit theta solution is presented in Chapter~5 of Ref.~\citen{PIP2009} and is written
+\begin{eqnarray}
+\nonumber S_g^\Theta(\bff(r),t_n)\negthinspace\negthinspace&=&\negthinspace\negthinspace{1\over V_{{\rm n},g}\, \Delta t_n} \,\phi_g(\bff(r),t_{n-1}) + \sum_\ell\lambda_\ell \left[ 1- \Theta_{\rm f}+ \Theta_{\rm f} \, {1-(1- \Theta_{\rm p}) \, \lambda_\ell \, \Delta t_n \over 1+ \Theta_{\rm p}\, \lambda_\ell \, \Delta t_n }\right]\chi_{\ell,g}^{\rm del}(\bff(r)) \, c_\ell(\bff(r),t_{n-1})\\
+\nonumber &+& \negthinspace\negthinspace(1- \Theta_{\rm f})\bigg\{\bff(\nabla) \cdot \shadowD_g(\bff(r)) \bff(\nabla) \phi_g(\bff(r),t_{n-1}) - \Sigma_{{\rm r}g}(\bff(r)) \, \phi_g(\bff(r),t_{n-1}) \\
+\nonumber&+&\negthinspace\negthinspace \sum_{{h=1} \atop {h \not= g}}^G \Sigma_{g \leftarrow h}(\bff(r)) \, \phi_h(\bff(r),t_{n-1})+\chi_g^{\rm ss}(\bff(r))\, F(\bff(r),t_{n-1})\bigg\} \\
+&-& \negthinspace\negthinspace \sum_\ell \left[1- \Theta_{\rm f}- \Theta_{\rm f} \, {(1- \Theta_{\rm p}) \, \lambda_\ell \, \Delta t_n \over 1+ \Theta_{\rm p}\, \lambda_\ell \, \Delta t_n } \right] \chi_{\ell,g}^{\rm del}(\bff(r)) \, F_\ell(\bff(r),t_{n-1}) .
+\label{eq:eq_inikin_8}
+\end{eqnarray}
+
+The flux equation at end-of-step is now presented. The equation corresponding to the analytic solution for precursors is written
+\begin{eqnarray}
+\nonumber&~&{1\over V_{{\rm n},g}\, \Delta t_n} \, \phi_g(\bff(r),t_n) - \Theta_{\rm f} \, \bff(\nabla) \cdot \shadowD_g(\bff(r)) \bff(\nabla) \phi_g(\bff(r),t_n) + \Theta_{\rm f} \, \Sigma_{{\rm r}g}(\bff(r)) \, \phi_g(\bff(r),t_n) \\
+\nonumber&~& \ \ \ \ \ \ = \, S_g^{\rm exact}(\bff(r),t_n)+ \Theta_{\rm f} \, \sum_{{h=1} \atop {h \not= g}}^G \Sigma_{g \leftarrow h}(\bff(r)) \, \phi_h(\bff(r),t_n)\\
+&~& \ \ \ \ \ \ + \ \Theta_{\rm f} \, \chi_g^{\rm ss}(\bff(r)) \, F(\bff(r),t_{n}) -\Theta_{\rm f} \sum_\ell \chi_{\ell,g}^{\rm del}(\bff(r)) \, {1\over\lambda_\ell \, \Delta t_n}\left( 1- {\rm e}^{-\lambda_\ell \, \Delta t_n}\right) F_\ell(\bff(r),t_{n}) .
+\label{eq:eq_inikin_9}
+\end{eqnarray}
+
+The equation corresponding to the implicit theta solution is presented in Chapter~5 of Ref.~\citen{PIP2009} and is written
+\begin{eqnarray}
+\nonumber&~&{1\over V_{{\rm n},g}\, \Delta t_n} \, \phi_g(\bff(r),t_n) - \Theta_{\rm f} \, \bff(\nabla) \cdot \shadowD_g(\bff(r)) \bff(\nabla) \phi_g(\bff(r),t_n) + \Theta_{\rm f} \, \Sigma_{{\rm r}g}(\bff(r)) \, \phi_g(\bff(r),t_n) \\
+\nonumber&~& \ \ \ \ \ \ = \, S_g^\Theta(\bff(r),t_n)+ \Theta_{\rm f} \, \sum_{{h=1} \atop {h \not= g}}^G \Sigma_{g \leftarrow h}(\bff(r)) \, \phi_h(\bff(r),t_n)\\
+&~& \ \ \ \ \ \ + \ \Theta_{\rm f} \, \chi_g^{\rm ss}(\bff(r)) \, F(\bff(r),t_{n}) -\Theta_{\rm f} \sum_\ell \chi_{\ell,g}^{\rm del}(\bff(r)) \, {1 \over 1+\Theta_{\rm p} \, \lambda_\ell\, \Delta t_n} \, F_\ell(\bff(r),t_{n}) .
+\label{eq:eq_inikin_10}
+\end{eqnarray}
+
+\subsubsection{The adjoint (backward) solution}
+
+The negative sign in front of the term $(1/v) \partial\phi^*/\partial t$ suggest some sort of backward approach to compute the importance (as opposed to the direct
+or forward approach for the direct neutron flux). Hence, while it is necessary to define an initial state of the system to solve the direct equations, solving the
+importance equations requires final conditions and to proceed backward with respect to time.
+
+\vskip 0.08cm
+
+Discretization of the adjoint space-time kinetics equations using the {\sl implicit theta solution} leads to the following equations. The solution for precursors is written
+\begin{eqnarray}
+\nonumber c^*_{\ell}(\bff(r),t_{n-1})\negthinspace\negthinspace&=&\negthinspace\negthinspace \left[ {1-(1- \Theta_{\rm p}) \, \lambda_\ell \, \Delta t_n \over 1+ \Theta_{\rm p}\, \lambda_\ell \, \Delta t_n}\right] c^*_{\ell}(\bff(r),t_{n}) + \left[{(1- \Theta_{\rm p}) \, \lambda_\ell \, \Delta t_n\over 1+ \Theta_{\rm p}\, \lambda_\ell \, \Delta t_n } \right] \sum_{h=1}^G \chi_{\ell,h}^{\rm del}(\bff(r)) \, \phi^*_h(\bff(r),t_{n}) \\
+&+&\negthinspace\negthinspace \left[{ \Theta_{\rm p} \, \lambda_\ell \,\Delta t_n\over 1+ \Theta_{\rm p}\, \lambda_\ell \, \Delta t_n} \right]\sum_{h=1}^G \chi_{\ell,h}^{\rm del}(\bff(r)) \, \phi^*_h(\bff(r),t_{n-1}) .
+\label{eq:eq_inikin_11}
+\end{eqnarray}
+
+\goodbreak
+The flux equation at beginning-of-step is written
+\begin{eqnarray}
+\nonumber&~&{1\over V_{{\rm n},g}\, \Delta t_n} \, \phi^*_g(\bff(r),t_{n-1}) - \Theta_{\rm f} \, \bff(\nabla) \cdot \shadowD_g(\bff(r)) \bff(\nabla) \phi^*_g(\bff(r),t_{n-1}) + \Theta_{\rm f} \, \Sigma_{{\rm r}g}(\bff(r)) \, \phi^*_g(\bff(r),t_{n-1}) \\
+\nonumber&~& \ \ \ \ \ \ = \, S_g^{*\Theta}(\bff(r),t_{n-1})+ \Theta_{\rm f} \, \sum_{{h=1} \atop {h \not= g}}^G \Sigma_{h \leftarrow g}(\bff(r)) \, \phi^*_h(\bff(r),t_{n-1})\\
+&~& \ \ \ \ \ \ + \ \Theta_{\rm f}\sum_{h=1}^G \left[\nu\Sigma_{{\rm f}g}(\bff(r))\, \chi_h^{\rm ss}(\bff(r)) - \sum_\ell \nu\Sigma_{{\rm f}\ell,g}^{\rm del}(\bff(r))\,\chi_{\ell,h}^{\rm del}(\bff(r))
+\, {1 \over 1+\Theta_{\rm p} \, \lambda_\ell\, \Delta t_{n-1}}\right] \phi^*_h(\bff(r),t_{n-1})
+\label{eq:eq_inikin_12}
+\end{eqnarray}
+
+\noindent where the fixed-source $S_g^{*\Theta}(\bff(r),t_{n-1})$ is written
+\begin{eqnarray}
+\nonumber S_g^{*\Theta}(\bff(r),t_{n-1})\negthinspace\negthinspace&=&\negthinspace\negthinspace{1\over V_{{\rm n},g}\, \Delta t_n} \,\phi_g(\bff(r),t_{n}) + \sum_\ell \nu\Sigma_{{\rm f}\ell,g}^{\rm del}(\bff(r)) \left[ 1- \Theta_{\rm f}+ \Theta_{\rm f} \, {1-(1- \Theta_{\rm p}) \, \lambda_\ell \, \Delta t_n \over 1+ \Theta_{\rm p}\, \lambda_\ell \, \Delta t_n }\right] c^*_\ell(\bff(r),t_{n})\\
+\nonumber &+& \negthinspace\negthinspace(1- \Theta_{\rm f})\bigg\{\bff(\nabla) \cdot \shadowD_g(\bff(r)) \bff(\nabla) \phi^*_g(\bff(r),t_{n}) - \Sigma_{{\rm r}g}(\bff(r)) \, \phi^*_g(\bff(r),t_{n}) \\
+\nonumber&+&\negthinspace\negthinspace \sum_{{h=1} \atop {h \not= g}}^G \Sigma_{h \leftarrow g}(\bff(r)) \, \phi^*_h(\bff(r),t_{n})+ \sum_{h=1}^G \nu\Sigma_{{\rm f}g}(\bff(r))\, \chi_h^{\rm ss}(\bff(r)) \, \phi^*_h(\bff(r),t_{n}) \bigg\} \\
+&-& \negthinspace\negthinspace \sum_\ell \left[1- \Theta_{\rm f}- \Theta_{\rm f} \, {(1- \Theta_{\rm p}) \, \lambda_\ell \, \Delta t_n \over 1+ \Theta_{\rm p}\, \lambda_\ell \, \Delta t_n } \right] \sum_{h=1}^G \nu\Sigma_{{\rm f}\ell,g}^{\rm del}(\bff(r))\,\chi_{\ell,h}^{\rm del}(\bff(r)) \, \phi^*_h(\bff(r),t_{n}) .
+\label{eq:eq_inikin_13}
+\end{eqnarray}
+
+The equations corresponding to the analytic solution for precursors are obtained by replacing the following terms in Eqs.~(\ref{eq:eq_inikin_11}) to~(\ref{eq:eq_inikin_13}):
+\begin{equation}
+{1\over 1+ \Theta_{\rm p}\, \lambda_\ell \, \Delta t_n} \ \Rightarrow \ {1-\exp^{-\lambda_\ell \, \Delta t_n} \over \lambda_\ell \, \Delta t_n} \ \ \ {\rm and} \ \ \
+{1-(1-\Theta_{\rm p}\,\lambda_\ell \, \Delta t_n \over 1+ \Theta_{\rm p}\, \lambda_\ell \, \Delta t_n} \ \Rightarrow \ \exp^{-\lambda_\ell \, \Delta t_n} .
+\label{eq:eq_inikin_14}
+\end{equation}
+\goodbreak
+
+\subsubsection{The calling specifications}
+
+The calling specifications are:
+
+\begin{DataStructure}{Structure \dstr{KINSOL:}}
+\dusa{KINET} \moc{:=} \moc{KINSOL:} \dusa{KINET} \dusa{MACRO} \dusa{TRACK} \dusa{SYST} $[$ \dusa{MACRO\_0} \dusa{SYST\_0} $]$
+\moc{::} \dstr{kinsol\_data}
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\dusa{KINET}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_KINET}) in modification mode.
+
+\item[\dusa{MACRO}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_MACROLIB}) containing the {\sc macrolib}
+information corresponding to the current time step of a transient.
+
+\item[\dusa{TRACK}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_TRACK}) containing the {\sc tracking} information.
+
+\item[\dusa{SYST}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_SYSTEM}) corresponding to {\sc macrolib} \dusa{MACRO}
+and {\sc tracking} \dusa{TRACK}.
+
+\item[\dusa{MACRO\_0}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_MACROLIB}) containing the {\sc macrolib}
+information corresponding to the beginning-of-step conditions in case a ramp variation of the cross sections in set.
+{\sl Beginning-of-step conditions should not be confused with beginning-of-transient or initial conditions.} By default,
+a step variation is set where cross sections are assumed constant and given by \dusa{MACRO}.
+
+\item[\dusa{SYST\_0}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_SYSTEM}) corresponding to {\sc macrolib} \dusa{MACRO\_0}
+and {\sc tracking} \dusa{TRACK}.
+
+\item[\dstr{kinsol\_data}] structure containing the data to module {\tt KINSOL:} (see Sect.~\ref{sect:kinsol_data}).
+
+\end{ListeDeDescription}
+
+\vskip 0.2cm
+
+\subsubsection{Data input for module {\tt KINSOL:}}\label{sect:kinsol_data}
+
+\begin{DataStructure}{Structure \dstr{kinsol\_data}}
+$[$ \moc{EDIT} \dusa{iprint} $]$ \\
+~\moc{DELTA} \dusa{delta} \\
+~\moc{SCHEME}
+~\moc{FLUX} $[$ \moc{TEXP} $]~\{$ \moc{IMPLIC} $|$ \moc{CRANK} $|$ \moc{THETA} \dusa{ttflx} $\}$ \\
+~\moc{PREC} $\{$ \moc{IMPLIC} $|$ \moc{CRANK} $|$ \moc{EXPON} $|$ \moc{THETA} \dusa{ttprc} $\}$ \\
+$[~\{$ \moc{VAR1} $|$ \moc{ACCE} $\}$ \dusa{icl1} \dusa{icl2} $]$ \\
+$[$ \moc{EXTE} $[$ \dusa{maxout} $]~[$ \dusa{epsout} $]~]$ \\
+$[$ \moc{THER} $[$ \dusa{maxthr} $]~[$ \dusa{epsthr} $]~]$ \\
+$[$ \moc{ADI} \dusa{nadi} $]$ \\
+$[$ \moc{ADJ} $]$ \\
+$[$ \moc{PICK} {\tt >>} \dusa{power\_out} {\tt <<} $]$ \\
+;
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\moc{EDIT}] keyword used to set \dusa{iprint} index.
+
+\item[\dusa{iprint}] integer index used to control the printing in module {\tt KINSOL:}.
+=0 for no print; =1 for minimum printing (default value); larger values of \dusa{iprint}
+will produce increasing amounts of output.
+
+\item[\moc{DELTA}] keyword used to set the \dusa{delta} value.
+
+\item[\dusa{delta}] current time increment $\Delta t_n$ of transient.
+
+\item[\moc{SCHEME}] keyword used to indicate the temporal numerical schemes.
+
+\item[\moc{TEXP}] keyword used to enable the exponential transformation procedure on transient flux. Mixture- and group-dependent
+factors $\omega_{m,g}$ are set such that the flux at point $\bff(r)$ is defined as
+\begin{equation}
+\phi_g(\bff(r),t)=e^{\omega_{m,g} t} \tilde\phi_g(\bff(r),t)
+\label{eq:eq_kinsol_1}
+\end{equation}
+\noindent where $m$ is the mixture index corresponding to point $\bff(r)$. Factors $\omega_{m,g}$ are initialized to zero by module
+{\tt INIKIN:} and are recomputed at the end of each time step.
+
+\item[\moc{FLUX}] keyword used to select the temporal scheme for the fluxes equations.
+
+\item[\moc{PREC}] keyword used to select the temporal scheme for the precursors equations.
+
+\item[\moc{IMPLIC}] keyword used to indicate the full implicit temporal scheme.
+
+\item[\moc{CRANK}] keyword used to indicate the Crank-Nicholson temporal scheme.
+
+\item[\moc{EXPON}] keyword used to indicate the analytical integration scheme for precursors equations.
+
+\item[\moc{THETA}] keyword used to indicate the general temporal scheme according to the
+\dusa{theta} method.
+
+\item[\dusa{ttflx}] value of \dusa{theta} parameter $ \Theta_{\rm f}$ for the flux equations. This value should be
+greater than 0.5 and less than 1.0.
+
+\item[\dusa{ttprc}] value of \dusa{theta} parameter $ \Theta_{\rm p}$ for the precursors equations. This value should be
+greater than 0.5 and less than 1.0.
+
+\item[\moc{VAR1}] keyword used to switch on the variational acceleration technique and to
+set the parameters \dusa{icl1} and \dusa{icl2}.
+
+\item[\moc{ACCE}] alias keyword for \moc{VAR1}.
+
+\item[\dusa{icl1}] number of free outer iterations in a cycle of the variational acceleration technique.
+The default value is \dusa{icl1} $=3$.
+
+\item[\dusa{icl2}] number of accelerated outer iterations in a cycle of the
+variational acceleration technique. The default value is \dusa{icl2} $=3$. A convergence in free iterations is
+obtained by setting \dusa{icl1} $=200$ (or \dusa{icl1} $=maxout$) and \dusa{icl2} $=0$.
+
+\item[\moc{EXTE}] keyword to specify that the control parameters for the
+external iteration are to be modified.
+
+\item[\dusa{maxout}] maximum number of external iterations. The fixed default
+value is \dusa{maxout} $=200$.
+
+\item[\dusa{epsout}] convergence criterion for the external iterations. The
+fixed default value is \dusa{epsout} $=1.0\times 10^{-4}$. The outer iterations are stopped when the following criteria is reached:
+$$\max_i | \Phi_i^{(k-1)} - \Phi_i^{(k)} | \ \le \ epsout \times \max_i | \Phi_i^{(k)} |$$
+\noindent where $\vec\Phi^{(k)}={\rm col}\{\Phi_i^{(k)} \ ; \ i=1,I\}$ is the product of the $B$ matrix times the unknown vector at the $k$-th outer iteration.
+
+\item[\moc{THER}] keyword to specify that the control parameters for the
+thermal iterations are to be modified.
+
+\item[\dusa{maxthr}] maximum number of thermal iterations. The fixed default
+value is \dusa{maxthr} $=0$ corresponding to no thermal iterations.
+
+\item[\dusa{epsthr}] convergence criterion for the thermal iterations. The
+fixed default value is \dusa{epsthr} $=1.0\times 10^{-2}$.
+
+\item[\moc{ADI}] keyword used to set \dusa{nadi} in cases where Trivac is used.
+
+\item[\dusa{nadi}] number of alternating direction implicit (ADI) inner
+iterations per outer iteration. The default value is $nadi=1$. If this value causes a failure of the acceleration process, it is recommended that a larger value be tried. The optimal
+choice is generally the minimum value of $nadi$ which allows a convergence in
+less than 75 outer iterations. $nadi=1$ or $nadi=2$ is generally the best
+choice for production-type calculations. The greater $nadi$ is, the smaller
+the asymptotic convergence constant (ACC) becomes. Taking an arbitrary large
+value (e.g., $nadi=20$) leads to numerical results identical to those obtained by
+inverting the system matrices at each
+outer iteration (at a prohibitive CPU cost). In this case, the ACC is almost
+equal to the dominance ratio of the iterative matrix. The default value is
+recovered in the state vector of the {\sc tracking} object \dusa{TRACK}.
+
+\item[\moc{ADJ}] keyword used to perform an adjoint (backward) space-time kinetics calculation. By default, a direct (forward) space-time kinetics calculation
+is performed.
+
+\item[\moc{PICK}] keyword used to recover the end-of-stage power (in MW) in a CLE-2000 variable.
+
+\item[\dusa{power\_out}] \texttt{character*12} CLE-2000 variable name in which the extracted power value will be placed.
+
+\end{ListeDeDescription}
+\clearpage
+
+
+\subsection{The {\tt VAL:} module}\label{sect:VALData}
+
+The \moc{VAL:} module supplies an interpolation of the flux in diffusion calculations for
+Cartesian geometries. This module also provide {\sl flux reconstruction} with nodal methods. The calling specifications are:
+
+\begin{DataStructure}{Structure \dstr{VAL:}}
+\dusa{IFLU} \moc{:=} \moc{VAL:} \dusa{TRKNAM} \dusa{FLUNAM} $[$ \dusa{MACRO} $]$ \moc{::} \dstr{descval}
+\end{DataStructure}
+
+\noindent
+where
+\begin{ListeDeDescription}{mmmmmmmm}
+
+\item[\dusa{IFLU}] {\tt character*12} name of the \dds{interpflux} data
+structure ({\tt L\_FVIEW} signature) where the interpolated flux distribution will be stored.
+
+\item[\dusa{TRKNAM}] {\tt character*12} name of the read-only \dds{tracking} data
+structure ({\tt L\_TRACK} signature) containing the tracking.
+
+\item[\dusa{FLUNAM}] {\tt character*12} name of the read-only \dds{fluxunk} data
+structure ({\tt L\_FLUX} signature) containing a transport solution.
+
+\item[\dusa{MACRO}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_MACROLIB}) containing the cross sections and diffusion coefficients.
+This data structure is required with nodal methods and in case the \moc{POWR} keyword is set.
+
+\item[\dstr{descval}] structure containing the input data to this module to compute interpolated flux
+(see \Sect{descval}).
+
+\end{ListeDeDescription}
+
+\subsubsection{Data input for module {\tt VAL:}}\label{sect:descval}
+
+\begin{DataStructure}{Structure \dstr{descval}}
+$[$ \moc{EDIT} \dusa{iprint} $]$ \\
+$[$ \moc{MODE} \dusa{imode} $]$ \\
+$[$ \moc{POWR} \dusa{power} $]$ \\
+$[~\{$ \moc{NOCCOR} $|$ \moc{CCOR} $\}~]$ \\
+\moc{DIM} \dusa{dim} (\dusa{dxyz}$(i)$, $i=1,dim$) \\
+;
+\end{DataStructure}
+
+\noindent where
+
+\begin{ListeDeDescription}{mmmmmmmm}
+
+\item[\moc{EDIT}] keyword used to modify the print level \dusa{iprint}.
+
+\item[\dusa{iprint}] integer index used to control the printing in module {\tt VAL:}.
+=0 for no print; =1 for minimum printing (default value); larger values of \dusa{iprint}
+will produce increasing amounts of output.
+
+\item[\moc{MODE}] keyword to specify the flux harmonic index \dusa{imode}.
+
+\item[\dusa{imode}] index of the flux harmonic recovered by the {\tt VAL:} module if the {\tt MONI} keyword was set in module {\tt FLUD:}
+(see Sect.~\ref{sect:fld_data}). By default, it is assumed that the {\tt MONI} keyword was not used.
+
+\item[\moc{POWR}] keyword used to set \dusa{power}.
+
+\item[\moc{NOCCOR}] keyword used to desactivate {\sl corner flux correction} with 2D/3D nodal methods.
+
+\item[\moc{CCOR}] keyword used to activate {\sl corner flux correction} with 2D/3D nodal methods (default option).
+
+\item[\dusa{power}] value of the power in MW used to normalize the flux. By default, the flux is not normalized.
+
+\item[\moc{DIM}] keyword to specify the number \dusa{dim}.
+
+\item[\dusa{dim}] number of dimension of the geometry.
+
+\item[\dusa{dxyz}] mesh interval along each direction which is used to define the grid where the flux is interpolated.
+
+\end{ListeDeDescription}
+
+\clearpage
+
+\subsection{The {\tt NSST:} module}
+
+The {\tt NSST:} module is used to perform a {\sc tracking} for the Nodal
+Expansion Method (NEM)\cite{nestle} or the Analytic Nodal Method (ANM)\cite{anm08}.
+
+\vskip 0.08cm
+
+The calling specifications are:
+
+\begin{DataStructure}{Structure \dstr{NSST:}}
+\dusa{TRACK} \moc{:=} \moc{NSST:} $[$ \dusa{TRACK} $]$ \dusa{GEOM} \moc{::} \dstr{NSST\_data}
+\end{DataStructure}
+
+\goodbreak
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\dusa{TRACK}] {\tt character*12} of the {\sc lcm} object (type {\tt L\_TRIVAC})
+containing the {\sc tracking} information. If \dusa{TRACK} appears on the RHS, the
+previous settings will be applied by default.
+
+\item[\dusa{GEOM}] {\tt character*12} of the {\sc lcm} object (type {\tt
+L\_GEOM}) containing the geometry.
+
+\item[\dstr{NSST\_data}] structure containing the data to module {\tt NSST:} (see Sect.~\ref{sect:NSST_data}).
+
+\end{ListeDeDescription}
+
+\subsubsection{Data input for module {\tt NSST:}}\label{sect:NSST_data}
+
+\begin{DataStructure}{Structure \dstr{NSST\_data}}
+$[$ \moc{EDIT} \dusa{iprint} $]$ \\
+$[$ \moc{TITL} \dusa{TITLE} $]$ \\
+$[$ \moc{MAXR} \dusa{maxpts} $]$ \\
+$[$ \moc{HYPE} \dusa{igmax} $]$ \\
+$[~\{$ \moc{CMFD} $|$ \moc{NEM} $|$ \moc{ANM} $\}~]$ \\
+;
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\moc{EDIT}] keyword used to set \dusa{iprint}.
+
+\item[\dusa{iprint}] index used to control the printing in module {\tt
+NSST:}. =0 for no print; =1 for minimum printing (default value); Larger
+values produce increasing amounts of output.
+
+\item[\moc{TITL}] keyword which allows the run title to be set.
+
+\item[\dusa{TITLE}] the title associated with a nodal expansion method run. This
+title may contain up to 72 characters. The default when \moc{TITL} is not specified is no title.
+
+\item[\moc{MAXR}] keyword which permits the maximum number of regions to be considered during a nodal run to be specified.
+
+\item[\dusa{maxpts}] maximum dimensions of the problem to be considered. The
+default value is set to the number of regions previously computed by the {\tt
+GEO:} module but this value is insufficient if symmetries or mesh-splitting
+are specified.
+
+\item[\moc{HYPE}] keyword used to specify the type of nodal expansion base functions used to represent the transverse integrated flux.
+By default, the polynomial base~(\ref{eq:nem1}) is used in all energy groups. This keyword has no effect with the analytic nodal method.
+
+\item[\dusa{igmax}] hyperbolic base functions~(\ref{eq:nem2}) are used for energy groups with indices $\ge$ \dusa{igmax}.
+
+\item[\moc{CMFD}] keyword used to impose the coarse mesh finite difference method. Only polynomials $p_0(u)$ to $p_2(u)$ are used to expand the flux.
+
+\item[\moc{NEM}] keyword used to impose the nodal expansion method. This is the default option.
+
+\item[\moc{ANM}] keyword used to impose the analytic nodal method.
+
+\end{ListeDeDescription}
+
+\clearpage
+
+\subsection{The {\tt NSSF:} module}
+
+The {\tt NSSF:} module is used to compute the solution to an eigenvalue problem corresponding to a nodal discretization with the Nodal
+Expansion Method or the Analytic Nodal Method. The actual implementation is limited to
+\begin{itemize}
+\item NEM and ANM discretizations in 1D Cartesian geometries;
+\item ANM discretization in 1D, 2D and 3D Cartesian geometries.
+\end{itemize}
+
+\vskip 0.08cm
+
+The nodal expansion method (NEM) is based on an expansion of the {\sl transverse integrated flux} in terms of polynomials defined
+over the $(-0.5,0.5)$ interval\cite{nestle}:
+\begin{eqnarray}
+\nonumber P_0(u)\negthinspace &=&\negthinspace 1\\
+\nonumber P_1(u)\negthinspace &=&\negthinspace u\\
+\nonumber P_2(u)\negthinspace &=&\negthinspace 3u^2-{1\over 4}\\
+\nonumber P_3(u)\negthinspace &=&\negthinspace \left( u^2-{1\over 4}\right)u\\
+P_4(u)\negthinspace &=&\negthinspace \left( u^2-{1\over 4}\right)\left( u^2-{1\over 20}\right)
+\label{eq:nem1}
+\end{eqnarray}
+There is the option of using hyperbolic functions in some energy groups:
+\begin{eqnarray}
+\nonumber P_3(u)\negthinspace &=&\negthinspace \sinh(\zeta_g u)\\
+P_4(u)\negthinspace &=&\negthinspace \cosh(\zeta_g u)-{2\over \zeta}\, \sinh(\zeta_g/2)
+\label{eq:nem2}
+\end{eqnarray}
+\noindent where
+\begin{equation}
+\zeta_g=\Delta x\sqrt{\Sigma_{{\rm r},g} \over D_g}
+\end{equation}
+\noindent where $\Delta x$, $\Sigma_{{\rm r},g}$ and $D_g$ are the node width (cm), the macroscopic removal cross section (cm$^{-1}$)
+and the diffusion coefficient (cm) in group $g$, respectively.
+
+\vskip 0.1cm
+%
+\vspace{2pt}
+\begin{figure}[!h]
+\centering
+\includegraphics[scale=0.75]{./nodal_update.eps}
+\parbox{11cm}{\caption{The nodal update procedure.}\label{fig:nodal_update}}
+\vspace{2pt}
+\end{figure}
+%
+
+The analytic nodal method (ANM) is based on the {\sl Annals of Nuclear Energy} paper of Ref.~\citen{anm08}. The convergence of the ANM
+relies on {\sl nodal correction iterations} consisting of repetitive solutions of the {\sl coarse mesh finite difference} (CMFD) method, as depicted in Fig.~\ref{fig:nodal_update}.
+The CMFD method is similar to the {\sl mesh centered finite difference} (MCFD) method with the introduction of {\sl drift factors} $\tilde D_{i,g}^{\pm(n)}$ at each nodal correction
+iteration. Solution of the CMFD equations relies on {\sl alternating direction implicit} (ADI) preconditionning with $LU$ factorization.
+
+\goodbreak
+
+The calling specifications are:
+
+\begin{DataStructure}{Structure \dstr{NSSF:}}
+\dusa{FLUX} \moc{:=} \moc{NSSF:} $[$ \dusa{FLUX} $]$ \dusa{TRACK} \dusa{MACRO} \moc{::} \dstr{NSSF\_data}
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\dusa{FLUX}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_FLUX}) containing the solution. If \dusa{FLUX} appears on the RHS, the solution previously stored in \dusa{FLUX}
+is used to initialize the new iterative process; otherwise, a uniform unknown vector is used.
+
+\item[\dusa{TRACK}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_TRACK}) containing the {\sc tracking}.
+
+\item[\dusa{MACRO}] {\tt character*12} name of the {\sc lcm} object (type {\tt L\_MACROLIB}) containing the cross sections, diffusion coefficients and discontinuity
+factors.
+
+\item[\dstr{NSSF\_data}] structure containing the data to module {\tt NSSF:} (see Sect.~\ref{sect:nssf_data}).
+
+\end{ListeDeDescription}
+
+\vskip 0.2cm
+
+\subsubsection{Data input for module {\tt NSSF:}}\label{sect:nssf_data}
+
+\begin{DataStructure}{Structure \dstr{NSSF\_data}}
+$[$ \moc{EDIT} \dusa{iprint} $]$ \\
+$[~\{$ \moc{VAR1} $|$ \moc{ACCE} $\}$ \dusa{icl1} \dusa{icl2} $]$ \\
+$[$ \moc{ADI} \dusa{nadi} $]$ \\
+$[$ \moc{NUPD} $[$ \dusa{max\_no\_nodal\_iter} $[$ \dusa{no\_transverse\_iter} $]~]~[$ \dusa{nodal\_tol} $]~]$ \\
+$[$ \moc{EXTE} $[$ \dusa{max\_no\_outer\_iter} $]~[$ \dusa{outer\_tol} $]~]$ \\
+$[$ \moc{THER} $[$ \dusa{max\_no\_group\_iter} $]~[$ \dusa{group\_tol} $]~]$ \\
+$[$ \moc{NODF} $]$ \\
+$[$ \moc{LEAK} $\{$ \moc{flat} $|$ \moc{quadratic} $\}~]$ \\
+$[$ \moc{BUCK} \dusa{valb2} $]$ \\
+;
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmm}
+
+\item[\moc{EDIT}] keyword used to set \dusa{iprint}.
+
+\item[\dusa{iprint}] index used to control the printing in module {\tt NSSF:}.
+=0 for no print; =1 for minimum printing (default value).
+
+\item[\moc{VAR1}] keyword used to set the parameters \dusa{icl1} and \dusa{icl2}. These parameter are used with the symmetrical variational
+acceleration technique (SVAT) for convergence of the generalized CMFD eigenvalue problem (default option) and to accelerate up-scattering iterations.
+
+\item[\moc{ACCE}] alias keyword for \moc{VAR1}.
+
+\item[\dusa{icl1}] number of free outer iterations in a cycle of the variational acceleration technique.
+The default value is \dusa{icl1} $=3$.
+
+\item[\dusa{icl2}] number of accelerated outer iterations in a cycle of the
+variational acceleration technique. The default value is \dusa{icl2} $=3$. A convergence in free iterations is
+obtained by setting \dusa{icl1} $=200$ (or \dusa{icl1} $=$ \dusa{max\_no\_outer\_iter}) and \dusa{icl2} $=0$.
+
+\item[\moc{ADI}] keyword to set the number of ADI iterations at the inner CMFD iterative level.
+
+\item[\dusa{nadi}] number of ADI iterations (default: \dusa{nadi} $=2$).
+
+\item[\moc{NUPD}] keyword to specify the maximum number of nodal update iterations.
+
+\item[\dusa{max\_no\_nodal\_iter}] maximum number of nodal update iterations iterations. The fixed default
+value is \dusa{max\_no\_outer\_iter} $=300$.
+
+\item[\dusa{no\_transverse\_iter}] number of tranverse current iterations in each nodal update iteration. We recommend to use the minimum value required for convergence of nodal update iterations. The fixed default
+value is \dusa{no\_transverse\_iter} $=3$.
+
+\item[\dusa{nodal\_tol}] convergence criterion for the nodal update iterations. The
+fixed default value is \dusa{nodal\_tol} $=1.0\times 10^{-6}$.
+
+\item[\moc{EXTE}] keyword to specify that the control parameters for the $K_{\rm eff}$ CMFD iteration are to be modified.
+
+\item[\dusa{max\_no\_outer\_iter}] maximum number of $K_{\rm eff}$ iterations. The fixed default
+value is \dusa{max\_no\_outer\_iter} $=100$.
+
+\item[\dusa{outer\_tol}] convergence criterion for the $K_{\rm eff}$ iterations. The
+fixed default value is \dusa{outer\_tol} $=1.0\times 10^{-5}$.
+
+\item[\moc{THER}] keyword to specify that the control parameters for the
+thermal upscattering iteration are to be modified.
+
+\item[\dusa{max\_no\_group\_iter}] maximum number of thermal upscattering iterations. The fixed default
+value is \dusa{max\_no\_group\_iter} $=0$.
+
+\item[\dusa{group\_tol}] convergence criterion for the thermal upscattering iterations. The
+fixed default value is \dusa{group\_tol} $=1.0\times 10^{-6}$.
+
+\item[\moc{NODF}] keyword used to force discontinuity factors to one.
+
+\item[\moc{LEAK}] keyword to specify the type of transverse leakage approximation.
+
+\item[\moc{flat}] flat leakage approximation.
+
+\item[\moc{quadratic}] quadratic leakage approximation in the internal nodes and linear leakage approximation in the boundary nodes.
+
+\item[\moc{BUCK}] keyword used to specify the fixed buckling. By default,
+\dusa{valb2} $=0$ cm$^{-2}$
+
+\item[\dusa{valb2}] value of the fixed total buckling in cm$^{-2}$.
+
+\end{ListeDeDescription}
+
+\clearpage
diff --git a/doc/IGE369/Section2.tex b/doc/IGE369/Section2.tex
new file mode 100644
index 0000000..0db5a25
--- /dev/null
+++ b/doc/IGE369/Section2.tex
@@ -0,0 +1,553 @@
+\section{EXAMPLES OF INPUT DATA FILES}
+
+\subsection{IAEA-2D benchmark}
+
+The IAEA-2D benchmark is defined in Refs.~\citen{bivac,anl} and its geometry is represented in Fig.~\fig(iaea2d). Here, it is solved using a parabolic variational collocation method without mesh splitting of the elements:
+
+\begin{figure}[htbp]
+\begin{center}
+\epsfxsize=8.0cm
+\centerline{ \epsffile{iaea2d.eps}}
+\parbox{14cm}{\caption{Description of the IAEA-2D benchmark.}\label{fig:iaea2d}} \end{center}
+\end{figure}
+
+\begin{verbatim}
+LINKED_LIST IAEA MACRO TRACK SYSTEM FLUX EDIT ;
+MODULE GEO: MAC: TRIVAT: TRIVAA: FLUD: OUT: END: ;
+*
+IAEA := GEO: :: CAR2D 9 9
+ EDIT 2
+ X- DIAG X+ VOID
+ Y- SYME Y+ DIAG
+ MIX 3 2 2 2 3 2 2 1 4
+ 2 2 2 2 2 2 1 4
+ 2 2 2 2 1 1 4
+ 2 2 2 1 4 4
+ 3 1 1 4 0
+ 1 4 4 0
+ 4 0 0
+ 0 0
+ 0
+ MESHX 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0
+ ;
+MACRO := MAC: ::
+ EDIT 2 NGRO 2 NMIX 4
+ READ INPUT
+ MIX 1
+ DIFF 1.500E+00 4.0000E-01
+ TOTAL 3.012E-02 8.0032E-02
+ NUSIGF 0.000E+00 1.3500E-01
+ H-FACTOR 0.000E+00 1.3500E-01
+ SCAT 1 1 0.0 2 2 0.0 0.2E-01
+ MIX 2
+ DIFF 1.500E+00 4.0000E-01
+ TOTAL 3.012E-02 8.5032E-02
+ NUSIGF 0.000E+00 1.3500E-01
+ H-FACTOR 0.000E+00 1.3500E-01
+ SCAT 1 1 0.0 2 2 0.0 0.2E-01
+ MIX 3
+ DIFF 1.500E+00 4.00000E-01
+ TOTAL 3.012E-02 1.30032E-01
+ NUSIGF 0.000E+00 1.35000E-01
+ H-FACTOR 0.000E+00 1.35000E-01
+ SCAT 1 1 0.0 2 2 0.0 0.2E-01
+ MIX 4
+ DIFF 2.000E+00 3.0000E-01
+ TOTAL 4.016E-02 1.0024E-02
+ SCAT 1 1 0.0 2 2 0.0 0.4E-01
+ ;
+TRACK := TRIVAT: IAEA ::
+ TITLE 'IAEA-2D BENCHMARK'
+ MAXR 81 PRIM 2 ;
+SYSTEM := TRIVAA: MACRO TRACK :: ;
+FLUX := FLUD: SYSTEM ::
+ EDIT 2 ;
+EDIT := OUT: FLUX ::
+ EDIT 2 INTG
+ 1 2 3 4 5 6 7 8 0
+ 9 10 11 12 13 14 15 0
+ 16 17 18 19 20 21 0
+ 22 23 24 25 0 0
+ 26 27 28 0 0
+ 29 0 0 0
+ 0 0 0
+ 0 0
+ 0
+ ;
+END: ;
+\end{verbatim}
+
+\subsection{Biblis-2D benchmark}
+
+The rods-withdrawn configuration of the Biblis-2D benchmark is defined in Ref.~\citen{bivac} and its geometry is represented in Fig.~\fig(biblis). Here, it is solved using a parabolic variational collocation method without mesh splitting of the elements:
+
+\begin{figure}[htbp]
+\begin{center}
+\epsfxsize=8.0cm
+\centerline{ \epsffile{biblis.eps}}
+\parbox{14cm}{\caption{Description of the Biblis-2D benchmark, rods-withdrawn configuration.}\label{fig:biblis}} \end{center}
+\end{figure}
+
+\begin{verbatim}
+LINKED_LIST BIBLIS MACRO TRACK SYSTEM FLUX EDIT ;
+MODULE GEO: MAC: TRIVAT: TRIVAA: FLUD: OUT: END: ;
+*
+BIBLIS := GEO: :: CAR2D 9 9
+ EDIT 2
+ X- DIAG X+ VOID
+ Y- SYME Y+ DIAG
+ MIX 1 8 2 6 1 7 1 4 3
+ 1 8 2 8 1 1 4 3
+ 1 8 2 7 1 4 3
+ 2 8 1 8 4 3
+ 2 5 4 3 3
+ 4 4 3 0
+ 3 3 0
+ 0 0
+ 0
+ MESHX 0.0 23.1226 46.2452 69.3678 92.4904 115.613 138.7356
+ 161.8582 184.9808 208.1034
+ ;
+MACRO := MAC: ::
+ EDIT 2 NGRO 2 NMIX 8
+ READ INPUT
+ MIX 1
+ DIFF 1.436000E+00 3.635000E-01
+ TOTAL 2.725820E-02 7.505800E-02
+ NUSIGF 5.870800E-03 9.606700E-02
+ H-FACTOR 2.376800E-03 3.889400E-02
+ SCAT 1 1 0.0 2 2 0.0 1.775400E-02
+ MIX 2
+ DIFF 1.436600E+00 3.636000E-01
+ TOTAL 2.729950E-02 7.843600E-02
+ NUSIGF 6.190800E-03 1.035800E-01
+ H-FACTOR 2.506400E-03 4.193500E-02
+ SCAT 1 1 0.0 2 2 0.0 1.762100E-02
+ MIX 3
+ DIFF 1.320000E+00 2.772000E-01
+ TOTAL 2.576220E-02 7.159600E-02
+ SCAT 1 1 0.0 2 2 0.0 2.310600E-02
+ MIX 4
+ DIFF 1.438900E+00 3.638000E-01
+ TOTAL 2.746400E-02 9.140800E-02
+ NUSIGF 7.452700E-03 1.323600E-01
+ H-FACTOR 3.017300E-03 5.358700E-02
+ SCAT 1 1 0.0 2 2 0.0 1.710100E-02
+ MIX 5
+ DIFF 1.438100E+00 3.665000E-01
+ TOTAL 2.729300E-02 8.482800E-02
+ NUSIGF 6.190800E-03 1.035800E-01
+ H-FACTOR 2.506400E-03 4.193500E-02
+ SCAT 1 1 0.0 2 2 0.0 1.729000E-02
+ MIX 6
+ DIFF 1.438500E+00 3.665000E-01
+ TOTAL 2.732400E-02 8.731400E-02
+ NUSIGF 6.428500E-03 1.091100E-01
+ H-FACTOR 2.602600E-03 4.417400E-02
+ SCAT 1 1 0.0 2 2 0.0 1.719200E-02
+ MIX 7
+ DIFF 1.438900E+00 3.679000E-01
+ TOTAL 2.729000E-02 8.802400E-02
+ NUSIGF 6.190800E-03 1.035800E-01
+ H-FACTOR 2.506400E-03 4.193500E-02
+ SCAT 1 1 0.0 2 2 0.0 1.712500E-02
+ MIX 8
+ DIFF 1.439300E+00 3.680000E-01
+ TOTAL 2.732100E-02 9.051000E-02
+ NUSIGF 6.428500E-03 1.091100E-01
+ H-FACTOR 2.602600E-03 4.417400E-02
+ SCAT 1 1 0.0 2 2 0.0 1.702700E-02
+ ;
+TRACK := TRIVAT: BIBLIS ::
+ TITLE 'BIBLIS BENCHMARK'
+ EDIT 5 MAXR 81 PRIM 2 ;
+SYSTEM := TRIVAA: MACRO TRACK ::
+ EDIT 5 ;
+FLUX := FLUD: SYSTEM ::
+ EDIT 2 ;
+EDIT := OUT: FLUX ::
+ EDIT 2 INTG
+ 1 2 3 4 5 6 7 8 0
+ 9 10 11 12 13 14 15 0
+ 16 17 18 19 20 21 0
+ 22 23 24 25 26 0
+ 27 28 29 0 0
+ 30 31 0 0
+ 0 0 0
+ 0 0
+ 0
+ ;
+END: ;
+\end{verbatim}
+\eject
+
+\subsection{IAEA-3D benchmark}
+
+The IAEA-3D benchmark is defined in Ref.~\citen{anl} and its geometry is represented in Fig.~\fig(iaea3d). Here, it is solved using a cubic mixed-dual method with mesh splitting of the second axial plane:
+
+\begin{figure}[htbp]
+\begin{center}
+\epsfxsize=15cm
+\centerline{ \epsffile{iaea3d.eps}}
+\parbox{14cm}{\caption{Description of the IAEA-3D benchmark.}\label{fig:iaea3d}} \end{center}
+\end{figure}
+
+\begin{verbatim}
+LINKED_LIST IAEA3D MACRO TRACK SYSTEM FLUX EDIT ;
+MODULE GEO: MAC: TRIVAT: TRIVAA: FLUD: OUT: END: ;
+*
+IAEA3D := GEO: :: CAR3D 9 9 4
+ EDIT 2
+ X- DIAG X+ VOID
+ Y- SYME Y+ DIAG
+ Z- VOID Z+ VOID
+ MESHX 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0
+ MESHZ 0.0 20.0 280.0 360.0 380.0
+ SPLITZ 1 2 1 1
+ (* PLANE NB 1 *)
+ MIX 4 4 4 4 4 4 4 4 4
+ 4 4 4 4 4 4 4 4
+ 4 4 4 4 4 4 4
+ 4 4 4 4 4 4
+ 4 4 4 4 0
+ 4 4 4 0
+ 4 0 0
+ 0 0
+ 0
+ (* PLANE NB 2 *)
+ 3 2 2 2 3 2 2 1 4
+ 2 2 2 2 2 2 1 4
+ 2 2 2 2 1 1 4
+ 2 2 2 1 4 4
+ 3 1 1 4 0
+ 1 4 4 0
+ 4 0 0
+ 0 0
+ 0
+ (* PLANE NB 3 *)
+ 3 2 2 2 3 2 2 1 4
+ 2 2 2 2 2 2 1 4
+ 3 2 2 2 1 1 4
+ 2 2 2 1 4 4
+ 3 1 1 4 0
+ 1 4 4 0
+ 4 0 0
+ 0 0
+ 0
+ (* PLANE NB 4 *)
+ 5 4 4 4 5 4 4 4 4
+ 4 4 4 4 4 4 4 4
+ 5 4 4 4 4 4 4
+ 4 4 4 4 4 4
+ 5 4 4 4 0
+ 4 4 4 0
+ 4 0 0
+ 0 0
+ 0
+ ;
+MACRO := MAC: ::
+ EDIT 2 NGRO 2 NMIX 5
+ READ INPUT
+ MIX 1
+ DIFF 1.500E+00 4.0000E-01
+ TOTAL 3.000E-02 8.0000E-02
+ NUSIGF 0.000E+00 1.3500E-01
+ H-FACTOR 0.000E+00 1.3500E-01
+ SCAT 1 1 0.0 2 2 0.0 0.2E-01
+ MIX 2
+ DIFF 1.500E+00 4.0000E-01
+ TOTAL 3.000E-02 8.5000E-02
+ NUSIGF 0.000E+00 1.3500E-01
+ H-FACTOR 0.000E+00 1.3500E-01
+ SCAT 1 1 0.0 2 2 0.0 0.2E-01
+ MIX 3
+ DIFF 1.500E+00 4.00000E-01
+ TOTAL 3.000E-02 1.30000E-01
+ NUSIGF 0.000E+00 1.35000E-01
+ H-FACTOR 0.000E+00 1.35000E-01
+ SCAT 1 1 0.0 2 2 0.0 0.2E-01
+ MIX 4
+ DIFF 2.000E+00 3.0000E-01
+ TOTAL 4.000E-02 1.0000E-02
+ SCAT 1 1 0.0 2 2 0.0 0.4E-01
+ MIX 5
+ DIFF 2.000E+00 3.0000E-01
+ TOTAL 4.000E-02 5.5000E-02
+ SCAT 1 1 0.0 2 2 0.0 0.4E-01
+ ;
+TRACK := TRIVAT: IAEA3D ::
+ TITLE 'TEST IAEA 3D'
+ EDIT 5 MAXR 405 DUAL 3 1 ;
+SYSTEM := TRIVAA: MACRO TRACK ::
+ EDIT 5 ;
+FLUX := FLUD: SYSTEM ::
+ EDIT 2 ;
+EDIT := OUT: FLUX ::
+ EDIT 2 INTG
+ (* PLANE NB 1 *)
+ 0 0 0 0 0 0 0 0 0
+ 0 0 0 0 0 0 0 0
+ 0 0 0 0 0 0 0
+ 0 0 0 0 0 0
+ 0 0 0 0 0
+ 0 0 0 0
+ 0 0 0
+ 0 0
+ 0
+ (* PLANE NB 2 *)
+ 1 2 3 4 5 6 7 8 0
+ 9 10 11 12 13 14 15 0
+ 16 17 18 19 20 21 0
+ 22 23 24 25 0 0
+ 26 27 28 0 0
+ 29 0 0 0
+ 0 0 0
+ 0 0
+ 0
+ (* PLANE NB 3 *)
+ 30 31 32 33 34 35 36 37 0
+ 38 39 40 41 42 43 44 0
+ 45 46 47 48 49 50 0
+ 51 52 53 54 0 0
+ 55 56 57 0 0
+ 58 0 0 0
+ 0 0 0
+ 0 0
+ 0
+ (* PLANE NB 4 *)
+ 0 0 0 0 0 0 0 0 0
+ 0 0 0 0 0 0 0 0
+ 0 0 0 0 0 0 0
+ 0 0 0 0 0 0
+ 0 0 0 0 0
+ 0 0 0 0
+ 0 0 0
+ 0 0
+ 0
+ ;
+END: ;
+\end{verbatim}
+
+\subsection{S30 hexagonal benchmark in 2-D}
+
+The S30 hexagonal benchmark in 2-D is defined in Ref.~\citen{benaboud}. Its geometry is represented in Fig.~\fig(hexS30). Here, it is solved using a mesh centered finite difference method without mesh splitting of the hexagonal elements:
+
+\begin{figure}[htbp]
+\begin{center}
+\epsfxsize=6cm
+\centerline{ \epsffile{hexS30.eps}}
+\parbox{14cm}{\caption{Description of the S30 hexagonal benchmark.}\label{fig:hexS30}} \end{center}
+\end{figure}
+
+\begin{verbatim}
+LINKED_LIST HEX MACRO TRACK SYSTEM FLUX EDIT ;
+MODULE GEO: MAC: TRIVAT: TRIVAA: FLUD: OUT: END: ;
+*
+HEX := GEO: :: HEX 6
+ EDIT 2
+ HBC S30 ZERO
+ SIDE 13.044
+ SPLITH 0
+ MIX
+ 1
+ 2
+ 2 2
+ 3 3
+ ;
+MACRO := MAC: ::
+ EDIT 2 NGRO 2 NMIX 3
+ READ INPUT
+ MIX 1
+ DIFF 1.5E+00 4.00E-01
+ TOTAL 3.0E-02 1.30E-01
+ NUSIGF 0.0E+00 1.35E-01
+ H-FACTOR 0.0E+00 1.35E-01
+ SCAT 1 1 0.0 2 2 0.0 0.2E-01
+ MIX 2
+ DIFF 1.5E+00 4.00E-01
+ TOTAL 3.0E-02 8.50E-02
+ NUSIGF 0.0E+00 1.35E-01
+ H-FACTOR 0.0E+00 1.35E-01
+ SCAT 1 1 0.0 2 2 0.0 0.2E-01
+ MIX 3
+ DIFF 2.0E+00 3.0E-01
+ TOTAL 4.0E-02 1.0E-02
+ SCAT 1 1 0.0 2 2 0.0 0.4E-01
+ ;
+TRACK := TRIVAT: HEX ::
+ TITLE 'S30 HEXAGONAL BENCHMARK IN 2-D.'
+ EDIT 5 MAXR 50 MCFD (* IELEM= *) 1 ;
+SYSTEM := TRIVAA: MACRO TRACK ::
+ EDIT 5 ;
+FLUX := FLUD: SYSTEM ::
+ EDIT 2 ;
+EDIT := OUT: FLUX ::
+ EDIT 2 INTG IN ;
+END: ;
+\end{verbatim}
+
+\subsection{LMW benchmark in 2-D}
+
+The LMW benchmark in 2-D is a space-time kinetics problem introduced by Greenman\cite{greenman} and used by Monier\cite{monier}.
+Its geometry is represented in Fig.~\fig(lmw). Here, it is solved using a parabolic nodal collocation method with $2\times 2$ mesh splitting
+of each element. A reactivity transient is induced by the rapid withdrawal of the control rod in material mixture 6. The control rod is
+removed in 26.7 s, causing a negative ramp variation in total cross section.
+
+\begin{figure}[htbp]
+\begin{center}
+\epsfxsize=7cm
+\centerline{ \epsffile{lmw.eps}}
+\parbox{14cm}{\caption{Description of the LMW benchmark in 2-D.}\label{fig:lmw}} \end{center}
+\end{figure}
+
+\goodbreak
+\begin{verbatim}
+*----
+* TEST CASE LMW 2D
+*
+* REF: G. Greenman, "A Quasi-Static Flux Synthesis Temporal Integration
+* Scheme for an Analytic Nodal Method," Nuclear Engineer's Thesis,
+* Massachusetts Institute of Technology, Department of Nuclear
+* Engineering (May 1980).
+*
+*----
+* Define STRUCTURES and MODULES used
+*----
+LINKED_LIST LMW TRACK MACRO1 SYSTEM1 MACRO2 SYSTEM2 FLUX KINET ;
+MODULE GEO: MAC: TRIVAT: TRIVAA: FLUD: INIKIN: KINSOL: GREP: DELETE:
+ END: ;
+REAL fnorm sigt1 sigt2 ;
+REAL TIME := 0.0 ;
+PROCEDURE assertS assertS2 ;
+*
+LMW := GEO: :: CAR2D 6 6
+ X- REFL X+ ZERO
+ Y- REFL Y+ ZERO
+ MIX 1 1 1 2 3 4
+ 1 1 1 1 3 4
+ 1 1 5 1 3 4
+ 6 1 1 3 3 4
+ 3 3 3 3 4 4
+ 4 4 4 4 4 0
+ MESHX 0.0 10. 30. 50. 70. 90. 110.
+ MESHY 0.0 10. 30. 50. 70. 90. 110.
+ SPLITX 2 2 2 2 2 2
+ SPLITY 2 2 2 2 2 2
+ ;
+MACRO1 := MAC: ::
+ EDIT 0 NGRO 2 NMIX 6
+ READ INPUT
+ MIX 1
+ DIFF 1.423910E+00 3.563060E-01
+ TOTAL 2.795756E-02 8.766216E-02
+ NUSIGF 6.477691E-03 1.127328E-01
+ H-FACTOR 2.591070E-03 4.509310E-02
+ SCAT 1 1 0.0 2 2 0.0 0.175555E-01
+ OVERV 0.800E-07 4.000E-06
+ MIX 2
+ DIFF 1.423910E+00 3.563060E-01
+ TOTAL 2.850756E-02 9.146219E-02
+ NUSIGF 6.477691E-03 1.127328E-01
+ H-FACTOR 2.591070E-03 4.509310E-02
+ SCAT 1 1 0.0 2 2 0.0 0.175555E-01
+ OVERV 0.800E-07 4.000E-06
+ MIX 3
+ DIFF 1.425610E+00 3.505740E-01
+ TOTAL 2.817031E-02 9.925634E-02
+ NUSIGF 7.503282E-03 1.378004E-01
+ H-FACTOR 3.001310E-03 5.512106E-02
+ SCAT 1 1 0.0 2 2 0.0 0.171777E-01
+ OVERV 0.800E-07 4.000E-06
+ MIX 4
+ DIFF 1.634220E+00 2.640020E-01
+ TOTAL 3.025750E-02 4.936351E-02
+ SCAT 1 1 0.0 2 2 0.0 0.275969E-01
+ OVERV 0.800E-07 4.000E-06
+ MIX 5
+ DIFF 1.423910E+00 3.563060E-01
+ TOTAL 2.795756E-02 8.766216E-02
+ NUSIGF 6.477691E-03 1.127328E-01
+ H-FACTOR 2.591070E-03 4.509310E-02
+ SCAT 1 1 0.0 2 2 0.0 0.175555E-01
+ OVERV 0.800E-07 4.000E-06
+ MIX 6
+ DIFF 1.423910E+00 3.563060E-01
+ TOTAL 2.850756E-02 9.146217E-02
+ NUSIGF 6.477691E-03 1.127328E-01
+ H-FACTOR 2.591070E-03 4.509310E-02
+ SCAT 1 1 0.0 2 2 0.0 0.175555E-01
+ OVERV 0.800E-07 4.000E-06
+ ;
+TRACK := TRIVAT: LMW ::
+ TITLE 'LMW 2-D BENCHMARK'
+ EDIT 1 MAXR 144 MCFD 2 ;
+SYSTEM1 := TRIVAA: MACRO1 TRACK ::
+ EDIT 1 UNIT ;
+FLUX := FLUD: SYSTEM1 TRACK ::
+ EDIT 1 EXTE 5.0E-7 ;
+assertS FLUX :: 'K-EFFECTIVE' 1 1.014803 ;
+*----
+* Crank-Nicholson space-time kinetics
+*----
+EVALUATE TIME := 0.0 ;
+KINET := INIKIN: MACRO1 TRACK SYSTEM1 FLUX :: EDIT 1
+ NDEL 6
+ BETA 0.000247 0.0013845 0.001222 0.0026455 0.000832 0.000169
+ LAMBDA 0.0127 0.0317 0.115 0.311 1.40 3.87
+ CHID 1.0 1.0 1.0 1.0 1.0 1.0
+ 0.0 0.0 0.0 0.0 0.0 0.0
+ NORM POWER-INI 1.0E4 ;
+EVALUATE sigt1 := 2.850756E-02 ;
+EVALUATE sigt2 := 9.146217E-02 ;
+WHILE TIME 26.7 <= DO
+ EVALUATE sigt1 := sigt1 5.5E-4 0.1 26.7 / * - ;
+ EVALUATE sigt2 := sigt2 3.8E-3 0.1 26.7 / * - ;
+ MACRO2 := MAC: MACRO1 ::
+ EDIT 0
+ READ INPUT
+ MIX 6
+ TOTAL <<sigt1>> <<sigt2>>
+ ;
+ SYSTEM2 := TRIVAA: MACRO2 TRACK ::
+ EDIT 1 UNIT ;
+ KINET := KINSOL: KINET MACRO2 TRACK SYSTEM2 MACRO1 SYSTEM1 ::
+ EDIT 5 DELTA 0.1
+ SCHEME FLUX CRANK PREC CRANK EXTE 1.0E-6 ;
+ GREP: KINET :: GETVAL 'TOTAL-TIME' 1 >>TIME<< ;
+ ECHO "TIME=" TIME "S" "sigt=" sigt1 sigt2 ;
+ IF TIME 1.0 - ABS 1.0E-3 < THEN
+ assertS2 KINET :: 'CTRL-FLUX' 1 1.986270E+02 ;
+ assertS2 KINET :: 'CTRL-PREC' 1 1.095509E-01 ;
+ assertS2 KINET :: 'E-POW' 1 1.008753E+04 ;
+ ELSEIF TIME 5.0 - ABS 1.0E-3 < THEN
+ assertS2 KINET :: 'CTRL-FLUX' 1 2.090369E+02 ;
+ assertS2 KINET :: 'CTRL-PREC' 1 1.097266E-01 ;
+ assertS2 KINET :: 'E-POW' 1 1.063990E+04 ;
+ ELSEIF TIME 10.0 - ABS 1.0E-3 < THEN
+ assertS2 KINET :: 'CTRL-FLUX' 1 2.305455E+02 ;
+ assertS2 KINET :: 'CTRL-PREC' 1 1.104699E-01 ;
+ assertS2 KINET :: 'E-POW' 1 1.176902E+04 ;
+ ELSEIF TIME 15.0 - ABS 1.0E-3 < THEN
+ assertS2 KINET :: 'CTRL-FLUX' 1 2.641221E+02 ;
+ assertS2 KINET :: 'CTRL-PREC' 1 1.121002E-01 ;
+ assertS2 KINET :: 'E-POW' 1 1.352433E+04 ;
+ ELSEIF TIME 20.0 - ABS 1.0E-3 < THEN
+ assertS2 KINET :: 'CTRL-FLUX' 1 3.157370E+02 ;
+ assertS2 KINET :: 'CTRL-PREC' 1 1.150681E-01 ;
+ assertS2 KINET :: 'E-POW' 1 1.621938E+04 ;
+ ELSEIF TIME 25.0 - ABS 1.0E-3 < THEN
+ assertS2 KINET :: 'CTRL-FLUX' 1 3.971426E+02 ;
+ assertS2 KINET :: 'CTRL-PREC' 1 1.200883E-01 ;
+ assertS2 KINET :: 'E-POW' 1 2.047011E+04 ;
+ ELSEIF TIME 26.7 - ABS 1.0E-3 < THEN
+ assertS2 KINET :: 'CTRL-FLUX' 1 4.351272E+02 ;
+ assertS2 KINET :: 'CTRL-PREC' 1 1.224600E-01 ;
+ assertS2 KINET :: 'E-POW' 1 2.245449E+04 ;
+ ENDIF ;
+ MACRO1 SYSTEM1 := DELETE: MACRO1 SYSTEM1 ;
+ MACRO1 := MACRO2 ;
+ SYSTEM1 := SYSTEM2 ;
+ MACRO2 SYSTEM2 := DELETE: MACRO2 SYSTEM2 ;
+ENDWHILE ;
+ECHO "test lmw2D completed" ;
+\end{verbatim}
diff --git a/doc/IGE369/Summary.tex b/doc/IGE369/Summary.tex
new file mode 100644
index 0000000..d55dc51
--- /dev/null
+++ b/doc/IGE369/Summary.tex
@@ -0,0 +1,34 @@
+\clearpage
+$ $
+\vskip 2.0cm
+
+\begin{center}
+
+SUMMARY
+
+\end{center}
+
+TRIVAC is a computer code intended to compute the neutron flux in a
+fractional or in a full core representation of a nuclear reactor. Interested readers
+can obtain fundamental informations about full-core calculations in Chapter~5
+of Ref.~\citen{PIP2009}. The multigroup
+and multidimensional form of the diffusion equation or simplified $P_n$ equation
+is first discretized to
+produce a consistent matrix system. This matrix system is subsequently solved
+using iterative techniques (inverse or preconditioned power method with
+ADI preconditioning) and sparse matrix algebra techniques
+(triangular factorization). The actual implementation of TRIVAC allows the
+discretization of 1-D geometries (slab and cylindrical), 2-D geometries
+(Cartesian, cylindrical and hexagonal) and 3-D geometries (Cartesian and
+hexagonal). Many discretization techniques are available, including mesh corner
+or mesh centered finite difference methods, collocation techniques of various
+order and finite element methods based on a primal or dual functional
+formulation. TRIVAC also permits the equations of the generalized
+perturbation theory (GPT) to be solved as fixed source eigenvalue problems.
+Finally, several implicit numerical schemes are available for the solving of space-time
+neutron kinetics problems.
+
+\vskip 0.15cm
+
+The execution of TRIVAC is controlled by CLE-2000.\cite{cle2000} It is
+modular and can be interfaced easily with other production codes.
diff --git a/doc/IGE369/biblis.eps b/doc/IGE369/biblis.eps
new file mode 100644
index 0000000..0a80056
--- /dev/null
+++ b/doc/IGE369/biblis.eps
@@ -0,0 +1,521 @@
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diff --git a/doc/IGE369/compo.eps b/doc/IGE369/compo.eps
new file mode 100755
index 0000000..751955b
--- /dev/null
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@@ -0,0 +1,470 @@
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+%%EndProcSet
+
+_NXLevel2{/_NXsethsb where{pop}{/_NXsethsb /sethsbcolor load def}ifelse /sethsbcolor{_NXsethsb currentrgbcolor nxsetrgbcolor}def /setrgbcolor{nxsetrgbcolor}bind def /setgray{nxsetgray}bind def
+}if
+gsave
+ /__NXbasematrix matrix currentmatrix def
+grestore
+%%EndProlog
+%%BeginSetup
+/TopDrawDict 250 dict def
+TopDrawDict begin /prt_stack {
+ (***Top of Stack\012) print pstack (---Bottom of Stack\012) print flush
+} def /prt_top {
+ (top item of stack) == dup == flush
+} def /prtmat matrix def /prt_ctm {
+ (current transformation matrix: ) print prtmat currentmatrix == flush
+} def /tmmat matrix def /obmat matrix def /strmat matrix def /pgmat matrix def /idmat matrix def /sc1mt matrix def /sc2mt matrix def /sc3mt matrix def /sc4mt matrix def /sc5mt matrix def /sc6mt matrix def /sc7mt matrix def /inmat matrix def /ctmmt matrix def /octmmt matrix def /clpmt matrix def /weglet_mat matrix def /crlinw 1 def crlinw setlinewidth /crlinjn 0 def crlinjn setlinejoin /crlincp 0 def crlincp setlinecap /crmtrlmt currentmiterlimit def /crstrpat 0 def /crfilpat 0 def /crflat currentflat def /dftflat currentflat def /strinclr false def /crlingry 0 def /crlinred 0 def /crlingrn 0 def /crlinblu 0 def /crlinalph 1 def /filinclr false def /crfilgry 0 def /crfilred 0 def /crfilgrn 0 def /crfilblu 0 def /crfilalph 1 def /crfilstyl 0 def /txtdraw true def /txtinclr false def /txtwpat false def /txtwittrans false def /crtxtgry 0 def /crtxtred 0 def /crtxtgrn 0 def /crtxtblu 0 def /crtxtalph 1 def /crtxtpat 0 def /txlndraw true def /txlninclr false def /txlnwpat false def /txlnwittrans false def /crtxlngry 0 def /crtxlnred 0 def /crtxlngrn 0 def /crtxlnblu 0 def /crtxlnalph 1 def /crtxlnpat 0 def /hilittxt false def /strdsh [2 2] def /dshpatoff 0 def /usedash false def /filwpat false def /strwpat false def /filwittrans false def /strwittrans false def /crfrtarw false def /crendarw false def /rsave 0 def /esave 0 def /sslsave 0 def /lsave 0 def /clpsave 0 def /pathsave 0 def /tpatstr 10 string def /ptdist {
+ sub dup mul 3 1 roll sub dup mul add sqrt
+} bind def /dodrawctm {
+ octmmt currentmatrix pop idmat obmat concatmatrix ctmmt currentmatrix sc1mt concatmatrix setmatrix
+} bind def /undrawctm {
+ obmat inmat invertmatrix ctmmt currentmatrix sc1mt concatmatrix setmatrix
+} bind def /undrawmat {
+ obmat aload pop 7 -1 roll astore
+} bind def /unpagectm {
+ octmmt setmatrix
+} bind def /unpagemat {
+ pgmat aload pop 7 -1 roll astore
+} bind def /drtan {
+ gsave 1 setalpha 0 setlinewidth 0.333333 setgray moveto lineto stroke grestore
+} bind def /drdgrdln {
+ gsave 1 setalpha 0 setlinewidth [1 2] 0 setdash setgray moveto lineto stroke grestore
+} bind def /drgrdln {
+ gsave 1 setalpha 0 setlinewidth setgray moveto lineto stroke grestore
+} bind def end
+TopDrawDict begin /p1x 0 def /p1y 0 def /p2x 0 def /p2y 0 def /ssl {
+ gsave dodrawctm crfrtarw crendarw or {
+ /p1y 1 index def /p1x 2 index def /p2y 1 index 4 index add def /p2x 2 index 5 index add def newpath moveto rlineto
+ } {
+ newpath moveto rlineto
+ } ifelse crlinalph setalpha crlinw setlinewidth crlincp setlinecap usedash {
+ strdsh dshpatoff setdash
+ } if strinclr {
+ crlinred crlingrn crlinblu setrgbcolor
+ } {
+ crlingry setgray
+ } ifelse crfrtarw {
+ 2 copy currentlinewidth exch p2x p2y p1x p1y arow
+ } if crendarw {
+ 2 copy currentlinewidth exch p1x p1y p2x p2y arow
+ } if unpagectm concat strwpat {
+ crstrpat findfont exch strwittrans {
+ trpatstrk
+ } {
+ oppatstrk
+ } ifelse
+ } {
+ stroke pop
+ } ifelse grestore
+} bind def end
+TopDrawDict begin /dotx {
+ gsave txtdraw {
+ concat selectfont txtinclr {
+ crtxtred crtxtgrn crtxtblu setrgbcolor
+ } {
+ crtxtgry setgray
+ } ifelse crtxtalph setalpha moveto xyshow
+ } {
+ pop pop pop pop pop pop pop
+ } ifelse grestore
+} bind def /txtlin {
+ gsave txlndraw {
+ concat txlninclr {
+ crtxlnred crtxlngrn crtxlnblu setrgbcolor
+ } {
+ crtxlngry setgray
+ } ifelse crtxlnalph setalpha setlinewidth 0 setlinecap newpath moveto 0 rlineto stroke
+ } {
+ pop pop pop pop pop
+ } ifelse grestore
+} bind def end
+%%EndSetup
+gsave
+0 0 578 683 rectclip
+-21.000004 -89.194 translate
+21.000004 89.194 577.800293 682.328003 rectclip
+gsave
+TopDrawDict begin
+/invpats true def
+/crlincp 0 def
+/crlinjn 0 def
+/crmtrlmt 10 def
+/crlinw 0.5 def
+/crlinalph 1 def
+/crlinred 0 def /crlingrn 0 def /crlinblu 0 def /strinclr true def
+/crfilalph 1 def
+/crfilred 1 def /crfilgrn 1 def /crfilblu 1 def /filinclr true def
+/filwpat false def
+TopDrawDict /piddict known TopDrawDict /ipiddict known or {
+ 1 getpat /crfilpat exch def
+} if
+/filwittrans false def
+/strwpat false def
+TopDrawDict /piddict known TopDrawDict /ipiddict known or {
+ 1 getpat /crstrpat exch def
+} if
+/strwittrans false def
+/usedash false def
+/strdsh [2 2] def /dshpatoff 0 def
+/crendarw false def
+/crfrtarw false def
+/txtdraw false def
+/crtxtalph 1 def
+/crtxtred 0 def /crtxtgrn 0 def /crtxtblu 0 def /txtinclr true def
+/txtwpat false def
+/txtwittrans false def
+/txlndraw false def
+/crtxlnalph 1 def
+/crtxlnred 0 def /crtxlngrn 0 def /crtxlnblu 0 def /txlninclr true def
+/txlnwpat false def
+/txlnwittrans false def
+/txtdraw true def
+/txlndraw true def
+(hcompo) [7.783997 0 7 0 7.783997 0 11.662003 0 7.783997 0 0 0] 66 675 /Helvetica-Oblique [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -22.999996 -22.5] dotx
+/txtdraw true def
+/txlndraw true def
+(//' 1' ) [8.400002 0 8.400002 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 115.797989 675 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -22.999996 -22.5] dotx
+/txtdraw true def
+/txlndraw true def
+(hcompo) [7.783997 0 7 0 7.783997 0 11.662003 0 7.783997 0 0 0] 66 675 /Helvetica-Oblique [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -25.999996 -491.5] dotx
+/txtdraw true def
+/txlndraw true def
+(//' 2' ) [8.400002 0 8.400002 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 115.797989 675 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -25.999996 -491.5] dotx
+/txtdraw true def
+/txlndraw true def
+(hcompo) [7.783997 0 7 0 7.783997 0 11.662003 0 7.783997 0 0 0] 66 675 /Helvetica-Oblique [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -26.999996 -528.5] dotx
+/txtdraw true def
+/txlndraw true def
+(//' 3' ) [8.400002 0 8.400002 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 115.797989 675 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -26.999996 -528.5] dotx
+/txtdraw true def
+/txlndraw true def
+(hcompo) [7.783997 0 7 0 7.783997 0 11.662003 0 7.783997 0 0 0] 66 675 /Helvetica-Oblique [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -26.999996 -564.5] dotx
+/txtdraw true def
+/txlndraw true def
+(//' 4' ) [8.400002 0 8.400002 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 115.797989 675 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -26.999996 -564.5] dotx
+/crlinw 1 def
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 3.81469e-06 -614.500916 27 729 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 10 0 27.000004 656.5 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 7 0 27.500004 150.5 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -549 165.5 763 1 0 0 1 0 0 sc6mt astore ssl
+('PARAM' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 204 702 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -27.499996 20.619995] dotx
+('HITAB' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 235 663 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -57.999996 23.119995] dotx
+('MASS' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 249 622 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -68.5 -6.380005] dotx
+('ENERGY' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 254 516 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -74 62.619995] dotx
+('BURNUP' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 258 484 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -76 58.619995] dotx
+('JTAB' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 232 444 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -50.999996 26.619995] dotx
+('BURN '//' 1' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 231 407 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -51.981991 27.813995] dotx
+('BURN '//' 2' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 231 407 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -52.981991 -125.306] dotx
+('BURN '//' 3' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 231 407 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -52.999996 -160.306] dotx
+('BURN '//' 4' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 231 407 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -54.999996 -197.306] dotx
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 8.062256 0 166 619.564636 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 8.062256 0 166 583.601501 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 10.049881 0 165 547.544617 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 7.071075 0 166.428925 439.620056 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 7 0 166 214.5 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 10 0 166 250.619995 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 9 0 165.5 285.682251 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 8.062256 0 166 511.619995 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -557.003723 350.000031 690.383728 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 9.055389 0 342 567 1 0 0 1 8.000031 123.383728 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 8 0 343 531 1 0 0 1 7.500031 123.383728 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 9 0 342 495 1 0 0 1 8.000031 123.383728 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 9 0 342 459 1 0 0 1 8.000031 123.383728 sc6mt astore ssl
+('DCR' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 398 704 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -32.863983 -55.619995] dotx
+('ISOTOPESDENS' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 402 679 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -38.463928 5.380005] dotx
+('FLUX-INTG' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 404 657 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -38.999969 -42.619995] dotx
+('SPH' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 404 633 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -37.999969 -55.619995] dotx
+('OVERV' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 407 611 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -41.999969 -68.619995] dotx
+('MACR' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 408 591 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -44.264008 -157.619995] dotx
+/txtdraw true def
+/txlndraw true def
+(micro1 ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 410 563 /Courier-Oblique [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -40.027985 -325.409973] dotx
+(micro2 ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 410 563 /Courier-Oblique [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -42.027985 -360.409973] dotx
+(micro3 ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 410 563 /Courier-Oblique [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -42.433929 -397.817993] dotx
+(micro4 ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.399994 0 0 0] 410 563 /Courier-Oblique [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -44.027985 -432.817993] dotx
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 8 0 343 423 1 0 0 1 7.500031 123.383728 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 9.055389 0 342 386 1 0 0 1 8.000031 124.383728 sc6mt astore ssl
+/txtdraw true def
+/txlndraw true def
+('TOTAL' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.400024 0 8.400024 0 8.400024 0 0 0] 471 592 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 26.018036 18.492004] dotx
+('STRD' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.400024 0 8.400024 0 0 0] 477 567 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 19.518036 17.492004] dotx
+('NJJ'//' 0' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 0 0] 483 513 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 13.018036 42.992004] dotx
+('SCAT'//' 0' ) [8.399994 0 8.399994 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 0 0] 487 481 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 9.000092 22.132019] dotx
+('NUSIGF' ) [8.399994 0 8.399994 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 0 0] 489 386 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 6.518036 60.652008] dotx
+('CHI' ) [8.399994 0 8.399994 0 8.400024 0 8.400024 0 8.400024 0 0 0] 494 335 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 2.518036 60.252014] dotx
+('H-FACTORS' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 0 0] 483 130 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 12.518036 290.252014] dotx
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -9 0 477 297 1 0 0 1 15.500092 318.632019 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -9 0 477 270 1 0 0 1 16.000092 318.632019 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -9 0 477 243 1 0 0 1 16.000092 318.632019 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -9 0 477 216 1 0 0 1 16.000092 318.632019 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -9 0 477 189 1 0 0 1 16.000092 318.632019 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -9 0 477 162 1 0 0 1 16.000092 318.632019 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -9 0 477 135 1 0 0 1 15.500092 317.632019 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -9 0 477 81 1 0 0 1 16 319.132019 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -216 484 615.5 1 0 0 1 0 0 sc6mt astore ssl
+('TOTAL' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.400024 0 8.400024 0 8.400024 0 0 0] 471 592 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 19.500061 -256.73999] dotx
+('STRD' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.400024 0 8.400024 0 0 0] 477 567 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 13.500061 -258.23999] dotx
+('NJJ'//' 0' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 0 0] 483 513 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 8.000061 -232.23999] dotx
+('SCAT'//' 0' ) [8.399994 0 8.399994 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 0 0] 487 481 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 3.518005 -253.306] dotx
+('YIELD' ) [8.399994 0 8.399994 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 0 0] 487 449 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 4.018005 -246.806] dotx
+('NUSIGF' ) [8.399994 0 8.399994 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 0 0] 489 386 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 1.518005 -237.306] dotx
+('CHI' ) [8.399994 0 8.399994 0 8.400024 0 8.400024 0 8.400024 0 0 0] 494 335 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -3.481995 -241.306] dotx
+('H-FACTORS' ) [8.399994 0 8.399994 0 8.399994 0 8.399994 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 8.400024 0 0 0] 483 130 /Courier [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 8.018005 -8.806] dotx
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -9 0 477 270 1 0 0 1 9.500061 70.26001 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -9 0 477 243 1 0 0 1 10.000061 70.26001 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -9 0 477 216 1 0 0 1 10.000061 70.26001 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -9 0 477 189 1 0 0 1 10.000061 70.26001 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -9 0 477 162 1 0 0 1 10.000061 70.26001 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -9 0 477 135 1 0 0 1 10.000061 70.26001 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -9 0 477 108 1 0 0 1 10.000061 70.26001 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -9 0 477 81 1 0 0 1 10.000061 70.26001 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -9 0 477 54 1 0 0 1 10.000061 70.26001 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -6.10351e-05 -243.76001 478.000061 340.26001 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 9 0 350.000031 241.380005 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 54 0 424.000031 241.380005 1 0 0 1 0 0 sc6mt astore ssl
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+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 9 0 350.000031 169.380005 1 0 0 1 0 0 sc6mt astore ssl
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+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 9 0 478 97 1 0 0 1 0 0 sc6mt astore ssl
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diff --git a/doc/IGE369/hexS30.eps b/doc/IGE369/hexS30.eps
new file mode 100644
index 0000000..b3b23e1
--- /dev/null
+++ b/doc/IGE369/hexS30.eps
@@ -0,0 +1,512 @@
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+} bind def /txtlin {
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+} if
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+} if
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diff --git a/doc/IGE369/iaea2d.eps b/doc/IGE369/iaea2d.eps
new file mode 100644
index 0000000..78ce946
--- /dev/null
+++ b/doc/IGE369/iaea2d.eps
@@ -0,0 +1,510 @@
+%!PS-Adobe-2.0 EPSF-2.0
+%%Title:
+%%Creator: AppsoftDraw
+%%CreationDate: Tue Jan 11 14:23:01 1994
+%%For: hebert
+%%DocumentFonts: (atend)
+%%Pages: 0 0
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+%%NXNextStepVersion: 3.0
+%%EndComments
+
+%%BeginProcSet: /usr/lib/NextStep/printPackage.ps 3.0
+%!
+% NeXT Printing Package
+% Version: 3.1
+% Copyright: 1988, NeXT, Inc.
+
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+/__NXbdef{1 index where{pop pop pop}{bind def}ifelse}bind def
+/UserObjects 10 array __NXdef
+/defineuserobject{
+ exch dup 1 add dup UserObjects length gt{
+ array dup 0 UserObjects putinterval
+ /UserObjects exch def
+ }{pop}ifelse UserObjects exch 3 -1 roll put
+}__NXbdef
+/undefineuserobject{UserObjects exch null put}__NXbdef
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+/__NXRectPath{4 2 roll moveto 1 index 0 rlineto
+0 exch rlineto neg 0 rlineto closepath}__NXbdef
+/__NXProcessRectArgs{
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+}__NXbdef
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+}__NXbdef
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+}__NXbdef
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+}__NXbdef
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+ /setpattern{pop .5 setgray}__NXbdef
+ /_NXCalibratedImage{dup 1 eq {pop pop image}{colorimage}ifelse pop}__NXbdef
+} ifelse
+/_NXSetCMYKOrRGB where{pop}{
+ mark{systemdict /currentwindow get exec}stopped
+ {{pop pop pop setcmykcolor}}{{nxsetrgbcolor pop pop pop pop}}ifelse /_NXSetCMYKOrRGB exch def cleartomark
+}ifelse
+%%EndProcSet
+
+_NXLevel2{/_NXsethsb where{pop}{/_NXsethsb /sethsbcolor load def}ifelse /sethsbcolor{_NXsethsb currentrgbcolor nxsetrgbcolor}def /setrgbcolor{nxsetrgbcolor}bind def /setgray{nxsetgray}bind def
+}if
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+grestore
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+} def /prt_top {
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+} def /prtmat matrix def /prt_ctm {
+ (current transformation matrix: ) print prtmat currentmatrix == flush
+} def /tmmat matrix def /obmat matrix def /strmat matrix def /pgmat matrix def /idmat matrix def /sc1mt matrix def /sc2mt matrix def /sc3mt matrix def /sc4mt matrix def /sc5mt matrix def /sc6mt matrix def /sc7mt matrix def /inmat matrix def /ctmmt matrix def /octmmt matrix def /clpmt matrix def /weglet_mat matrix def /crlinw 1 def crlinw setlinewidth /crlinjn 0 def crlinjn setlinejoin /crlincp 0 def crlincp setlinecap /crmtrlmt currentmiterlimit def /crstrpat 0 def /crfilpat 0 def /crflat currentflat def /dftflat currentflat def /strinclr false def /crlingry 0 def /crlinred 0 def /crlingrn 0 def /crlinblu 0 def /crlinalph 1 def /filinclr false def /crfilgry 0 def /crfilred 0 def /crfilgrn 0 def /crfilblu 0 def /crfilalph 1 def /crfilstyl 0 def /txtdraw true def /txtinclr false def /txtwpat false def /txtwittrans false def /crtxtgry 0 def /crtxtred 0 def /crtxtgrn 0 def /crtxtblu 0 def /crtxtalph 1 def /crtxtpat 0 def /txlndraw true def /txlninclr false def /txlnwpat false def /txlnwittrans false def /crtxlngry 0 def /crtxlnred 0 def /crtxlngrn 0 def /crtxlnblu 0 def /crtxlnalph 1 def /crtxlnpat 0 def /hilittxt false def /strdsh [2 2] def /dshpatoff 0 def /usedash false def /filwpat false def /strwpat false def /filwittrans false def /strwittrans false def /crfrtarw false def /crendarw false def /rsave 0 def /esave 0 def /sslsave 0 def /lsave 0 def /clpsave 0 def /pathsave 0 def /tpatstr 10 string def /ptdist {
+ sub dup mul 3 1 roll sub dup mul add sqrt
+} bind def /dodrawctm {
+ octmmt currentmatrix pop idmat obmat concatmatrix ctmmt currentmatrix sc1mt concatmatrix setmatrix
+} bind def /undrawctm {
+ obmat inmat invertmatrix ctmmt currentmatrix sc1mt concatmatrix setmatrix
+} bind def /undrawmat {
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+} bind def /unpagectm {
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+} bind def /unpagemat {
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+} bind def /drtan {
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+} bind def end
+TopDrawDict begin /rpath {
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+} bind def /rfpath {
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+} bind def /rffill {
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+} bind def /rfstroke {
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+} bind def /mkrpath {
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+} bind def end
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+} bind def end
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+
+ } {
+
+ } {
+
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+ } pathforall newpath 4 2 roll 2 copy moveto 4 2 roll exch 4 -1 roll exch sub 3 1 roll sub exch atan rotate dup 1 lt {
+ pop 1 1 scale
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+ dup scale
+ } ifelse -1 2 rlineto 7 -2 rlineto -7 -2 rlineto closepath crlinalph setalpha strinclr {
+ crlinred crlingrn crlinblu setrgbcolor
+ } {
+ crlingry setgray
+ } ifelse strwpat {
+ crstrpat findfont exch strwittrans {
+ trpatfil
+ } {
+ oppatfil
+ } ifelse
+ } {
+ fill pop
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+} bind def /arwpath {
+ sc7mt currentmatrix pop gsave newpath moveto lineto unpagectm dup concat {
+
+ } {
+
+ } {
+
+ } {
+
+ } pathforall grestore unpagectm 5 -1 roll concat 4 2 roll 2 copy moveto 4 2 roll exch 4 -1 roll exch sub 3 1 roll sub exch atan rotate dup 1 lt {
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+} bind def end
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+ gsave txtdraw {
+ concat selectfont txtinclr {
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+ crtxtgry setgray
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+} bind def /txtlin {
+ gsave txlndraw {
+ concat txlninclr {
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+} bind def end
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+-122 -338 translate
+122 338 359.783997 291.033997 rectclip
+gsave
+TopDrawDict begin
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+} if
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+TopDrawDict /piddict known TopDrawDict /ipiddict known or {
+ 1 getpat /crstrpat exch def
+} if
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+/txtdraw true def
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+/txtdraw true def
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diff --git a/doc/IGE369/iaea3d.eps b/doc/IGE369/iaea3d.eps
new file mode 100644
index 0000000..5dbc107
--- /dev/null
+++ b/doc/IGE369/iaea3d.eps
@@ -0,0 +1,630 @@
+%!PS-Adobe-2.0 EPSF-2.0
+%%Title:
+%%Creator: AppsoftDraw
+%%CreationDate: Tue Jan 11 16:12:51 1994
+%%For: hebert
+%%DocumentFonts: (atend)
+%%Pages: 0 0
+%%BoundingBox: 0 0 738 580
+%%NXNextStepVersion: 3.0
+%%EndComments
+
+%%BeginProcSet: /usr/lib/NextStep/printPackage.ps 3.0
+%!
+% NeXT Printing Package
+% Version: 3.1
+% Copyright: 1988, NeXT, Inc.
+
+/__NXdef{1 index where{pop pop pop}{def}ifelse}bind def
+/__NXbdef{1 index where{pop pop pop}{bind def}ifelse}bind def
+/UserObjects 10 array __NXdef
+/defineuserobject{
+ exch dup 1 add dup UserObjects length gt{
+ array dup 0 UserObjects putinterval
+ /UserObjects exch def
+ }{pop}ifelse UserObjects exch 3 -1 roll put
+}__NXbdef
+/undefineuserobject{UserObjects exch null put}__NXbdef
+/execuserobject{UserObjects exch get exec}__NXbdef
+/__NXRectPath{4 2 roll moveto 1 index 0 rlineto
+0 exch rlineto neg 0 rlineto closepath}__NXbdef
+/__NXProcessRectArgs{
+ 1 index type /arraytype eq{
+ exch 0 4 2 index length 1 sub{
+ dup 3 add 1 exch{1 index exch get exch}for
+ 5 1 roll 5 index exec
+ }for pop pop
+ }{exec}ifelse
+}__NXbdef
+/rectfill{gsave newpath {__NXRectPath fill} __NXProcessRectArgs grestore}__NXbdef
+/rectclip{newpath {__NXRectPath} __NXProcessRectArgs clip newpath}__NXbdef
+/rectstroke{
+ gsave newpath dup type /arraytype eq{dup length 6 eq}{false}ifelse{
+ {gsave __NXRectPath null concat stroke grestore}
+ dup length array cvx copy dup 2 4 -1 roll put __NXProcessRectArgs
+ }{{__NXRectPath stroke} __NXProcessRectArgs}ifelse grestore
+}__NXbdef
+/_NXLevel2 systemdict /languagelevel known {languagelevel 2 ge}{false}ifelse __NXdef
+/xyshow{
+ 0 1 3 index length 1 sub{
+ currentpoint 4 index 3 index 1 getinterval show
+ 3 index 3 index 2 mul 1 add get add exch
+ 3 index 3 index 2 mul get add exch moveto pop
+ }for pop pop
+}__NXbdef
+/xshow{
+ 0 1 3 index length 1 sub{
+ currentpoint 4 index 3 index 1 getinterval show
+ exch 3 index 3 index get add exch moveto pop
+ }for pop pop
+}__NXbdef
+/yshow{
+ 0 1 3 index length 1 sub{
+ currentpoint 4 index 3 index 1 getinterval show
+ 3 index 3 index get add moveto pop
+ }for pop pop
+}__NXbdef
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+ stroke grestore
+}__NXbdef
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+ newpath dup length 6 eq{
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+ strokepath setmatrix
+ }{uappend strokepath}ifelse
+} __NXbdef
+/upath{
+ [exch {/ucache cvx}if pathbbox /setbbox cvx
+ {/moveto cvx}{/lineto cvx}{/curveto cvx}{/closepath cvx}pathforall]cvx
+} __NXbdef
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+}__NXbdef
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+ chans 2 add 2 roll parr 0 chans getinterval astore pop
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+}__NXbdef
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+ /_NXCalibratedImage{exch{array astore dup length true}{false}ifelse
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+} {
+ /setcmykcolor{
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+ 2 sub dup 0 le{0 lt Wid exch{exch 1 sub exch}if}if exch 2 add exch
+ }forall/Lim exch def Str1 exch 0 exch getinterval
+ }def
+ }ifelse
+ /Ops[{.3 mul add 1}{.59 mul add 2}{.11 mul add round cvi Res exch 2 index exch put 1 add 0.0 0}]def/Val 0.0 def/Phase 0 def
+ {0 Val Phase Proc/Res Unpack{exch Ops exch get exec}forall/Phase exch def/Val exch def Res exch 0 exch getinterval}
+ image end restore}ifelse}ifelse
+ }__NXbdef
+ /nxsetrgbcolor{setrgbcolor}__NXbdef /nxsetgray{setgray}__NXbdef
+ /setpattern{pop .5 setgray}__NXbdef
+ /_NXCalibratedImage{dup 1 eq {pop pop image}{colorimage}ifelse pop}__NXbdef
+} ifelse
+/_NXSetCMYKOrRGB where{pop}{
+ mark{systemdict /currentwindow get exec}stopped
+ {{pop pop pop setcmykcolor}}{{nxsetrgbcolor pop pop pop pop}}ifelse /_NXSetCMYKOrRGB exch def cleartomark
+}ifelse
+%%EndProcSet
+
+_NXLevel2{/_NXsethsb where{pop}{/_NXsethsb /sethsbcolor load def}ifelse /sethsbcolor{_NXsethsb currentrgbcolor nxsetrgbcolor}def /setrgbcolor{nxsetrgbcolor}bind def /setgray{nxsetgray}bind def
+}if
+gsave
+ /__NXbasematrix matrix currentmatrix def
+grestore
+%%EndProlog
+%%BeginSetup
+/TopDrawDict 250 dict def
+TopDrawDict begin /prt_stack {
+ (***Top of Stack\012) print pstack (---Bottom of Stack\012) print flush
+} def /prt_top {
+ (top item of stack) == dup == flush
+} def /prtmat matrix def /prt_ctm {
+ (current transformation matrix: ) print prtmat currentmatrix == flush
+} def /tmmat matrix def /obmat matrix def /strmat matrix def /pgmat matrix def /idmat matrix def /sc1mt matrix def /sc2mt matrix def /sc3mt matrix def /sc4mt matrix def /sc5mt matrix def /sc6mt matrix def /sc7mt matrix def /inmat matrix def /ctmmt matrix def /octmmt matrix def /clpmt matrix def /weglet_mat matrix def /crlinw 1 def crlinw setlinewidth /crlinjn 0 def crlinjn setlinejoin /crlincp 0 def crlincp setlinecap /crmtrlmt currentmiterlimit def /crstrpat 0 def /crfilpat 0 def /crflat currentflat def /dftflat currentflat def /strinclr false def /crlingry 0 def /crlinred 0 def /crlingrn 0 def /crlinblu 0 def /crlinalph 1 def /filinclr false def /crfilgry 0 def /crfilred 0 def /crfilgrn 0 def /crfilblu 0 def /crfilalph 1 def /crfilstyl 0 def /txtdraw true def /txtinclr false def /txtwpat false def /txtwittrans false def /crtxtgry 0 def /crtxtred 0 def /crtxtgrn 0 def /crtxtblu 0 def /crtxtalph 1 def /crtxtpat 0 def /txlndraw true def /txlninclr false def /txlnwpat false def /txlnwittrans false def /crtxlngry 0 def /crtxlnred 0 def /crtxlngrn 0 def /crtxlnblu 0 def /crtxlnalph 1 def /crtxlnpat 0 def /hilittxt false def /strdsh [2 2] def /dshpatoff 0 def /usedash false def /filwpat false def /strwpat false def /filwittrans false def /strwittrans false def /crfrtarw false def /crendarw false def /rsave 0 def /esave 0 def /sslsave 0 def /lsave 0 def /clpsave 0 def /pathsave 0 def /tpatstr 10 string def /ptdist {
+ sub dup mul 3 1 roll sub dup mul add sqrt
+} bind def /dodrawctm {
+ octmmt currentmatrix pop idmat obmat concatmatrix ctmmt currentmatrix sc1mt concatmatrix setmatrix
+} bind def /undrawctm {
+ obmat inmat invertmatrix ctmmt currentmatrix sc1mt concatmatrix setmatrix
+} bind def /undrawmat {
+ obmat aload pop 7 -1 roll astore
+} bind def /unpagectm {
+ octmmt setmatrix
+} bind def /unpagemat {
+ pgmat aload pop 7 -1 roll astore
+} bind def /drtan {
+ gsave 1 setalpha 0 setlinewidth 0.333333 setgray moveto lineto stroke grestore
+} bind def /drdgrdln {
+ gsave 1 setalpha 0 setlinewidth [1 2] 0 setdash setgray moveto lineto stroke grestore
+} bind def /drgrdln {
+ gsave 1 setalpha 0 setlinewidth setgray moveto lineto stroke grestore
+} bind def end
+TopDrawDict begin /rpath {
+ newpath moveto dup 0 exch rlineto exch 0 rlineto 0 exch neg rlineto closepath
+} bind def /rfpath {
+ /rad3 exch def /hh3 exch def /ww3 exch def /yy1 exch def /xx1 exch def /xx2 xx1 ww3 add def /yy2 yy1 hh3 add def newpath xx1 yy1 rad3 hh3 0 gt {
+ add
+ } {
+ sub
+ } ifelse moveto xx1 yy1 xx2 yy1 rad3 arcto 4 {
+ pop
+ } repeat xx2 yy1 xx2 yy2 rad3 arcto 4 {
+ pop
+ } repeat xx2 yy2 xx1 yy2 rad3 arcto 4 {
+ pop
+ } repeat xx1 yy2 xx1 yy1 rad3 arcto 4 {
+ pop
+ } repeat closepath
+} bind def /rfill {
+ gsave dodrawctm crfilalph setalpha filinclr {
+ crfilred crfilgrn crfilblu setrgbcolor
+ } {
+ crfilgry setgray
+ } ifelse filwpat {
+ 4 2 roll rpath crfilpat findfont exch filwittrans {
+ trpatfil
+ } {
+ oppatfil
+ } ifelse
+ } {
+ rectfill pop
+ } ifelse grestore
+} bind def /rstroke {
+ gsave dodrawctm crlinalph setalpha crlinw setlinewidth crlincp setlinecap crlinjn setlinejoin crmtrlmt setmiterlimit usedash {
+ strdsh dshpatoff setdash
+ } if strinclr {
+ crlinred crlingrn crlinblu setrgbcolor
+ } {
+ crlingry setgray
+ } ifelse 4 2 roll rpath unpagectm concat strwpat {
+ crstrpat findfont exch strwittrans {
+ trpatstrk
+ } {
+ oppatstrk
+ } ifelse
+ } {
+ stroke pop
+ } ifelse grestore
+} bind def /rffill {
+ gsave dodrawctm crfilalph setalpha filinclr {
+ crfilred crfilgrn crfilblu setrgbcolor
+ } {
+ crfilgry setgray
+ } ifelse rfpath filwpat {
+ crfilpat findfont exch filwittrans {
+ trpatfil
+ } {
+ oppatfil
+ } ifelse
+ } {
+ fill pop
+ } ifelse grestore
+} bind def /rfstroke {
+ gsave dodrawctm crlinalph setalpha crlinw setlinewidth crlincp setlinecap crlinjn setlinejoin crmtrlmt setmiterlimit usedash {
+ strdsh dshpatoff setdash
+ } if strinclr {
+ crlinred crlingrn crlinblu setrgbcolor
+ } {
+ crlingry setgray
+ } ifelse rfpath unpagectm concat strwpat {
+ crstrpat findfont exch strwittrans {
+ trpatstrk
+ } {
+ oppatstrk
+ } ifelse
+ } {
+ stroke pop
+ } ifelse grestore
+} bind def /mkrpath {
+ dodrawctm rpath unpagectm
+} bind def end
+TopDrawDict begin /p1x 0 def /p1y 0 def /p2x 0 def /p2y 0 def /ssl {
+ gsave dodrawctm crfrtarw crendarw or {
+ /p1y 1 index def /p1x 2 index def /p2y 1 index 4 index add def /p2x 2 index 5 index add def newpath moveto rlineto
+ } {
+ newpath moveto rlineto
+ } ifelse crlinalph setalpha crlinw setlinewidth crlincp setlinecap usedash {
+ strdsh dshpatoff setdash
+ } if strinclr {
+ crlinred crlingrn crlinblu setrgbcolor
+ } {
+ crlingry setgray
+ } ifelse crfrtarw {
+ 2 copy currentlinewidth exch p2x p2y p1x p1y arow
+ } if crendarw {
+ 2 copy currentlinewidth exch p1x p1y p2x p2y arow
+ } if unpagectm concat strwpat {
+ crstrpat findfont exch strwittrans {
+ trpatstrk
+ } {
+ oppatstrk
+ } ifelse
+ } {
+ stroke pop
+ } ifelse grestore
+} bind def end
+TopDrawDict begin /arwlen 6 def /arw 4 def /arow {
+ gsave newpath moveto lineto unpagectm concat {
+
+ } {
+
+ } {
+
+ } {
+
+ } pathforall newpath 4 2 roll 2 copy moveto 4 2 roll exch 4 -1 roll exch sub 3 1 roll sub exch atan rotate dup 1 lt {
+ pop 1 1 scale
+ } {
+ dup scale
+ } ifelse -1 2 rlineto 7 -2 rlineto -7 -2 rlineto closepath crlinalph setalpha strinclr {
+ crlinred crlingrn crlinblu setrgbcolor
+ } {
+ crlingry setgray
+ } ifelse strwpat {
+ crstrpat findfont exch strwittrans {
+ trpatfil
+ } {
+ oppatfil
+ } ifelse
+ } {
+ fill pop
+ } ifelse grestore
+} bind def /arwpath {
+ sc7mt currentmatrix pop gsave newpath moveto lineto unpagectm dup concat {
+
+ } {
+
+ } {
+
+ } {
+
+ } pathforall grestore unpagectm 5 -1 roll concat 4 2 roll 2 copy moveto 4 2 roll exch 4 -1 roll exch sub 3 1 roll sub exch atan rotate dup 1 lt {
+ pop 1 1 scale
+ } {
+ dup scale
+ } ifelse -1 2 rlineto 7 -2 rlineto -7 -2 rlineto closepath sc7mt setmatrix
+} bind def end
+TopDrawDict begin /dotx {
+ gsave txtdraw {
+ concat selectfont txtinclr {
+ crtxtred crtxtgrn crtxtblu setrgbcolor
+ } {
+ crtxtgry setgray
+ } ifelse crtxtalph setalpha moveto xyshow
+ } {
+ pop pop pop pop pop pop pop
+ } ifelse grestore
+} bind def /txtlin {
+ gsave txlndraw {
+ concat txlninclr {
+ crtxlnred crtxlngrn crtxlnblu setrgbcolor
+ } {
+ crtxlngry setgray
+ } ifelse crtxlnalph setalpha setlinewidth 0 setlinecap newpath moveto 0 rlineto stroke
+ } {
+ pop pop pop pop pop
+ } ifelse grestore
+} bind def end
+%%EndSetup
+gsave
+0 0 739 581 rectclip
+-14.868969 -31.677372 translate
+14.868969 31.677372 737.897034 579.356628 rectclip
+gsave
+TopDrawDict begin
+/invpats true def
+/crlincp 0 def
+/crlinjn 0 def
+/crmtrlmt 10 def
+/crlinw 1 def
+/crlinalph 1 def
+/crlinred 0 def /crlingrn 0 def /crlinblu 0 def /strinclr true def
+/crfilalph 1 def
+/crfilred 1 def /crfilgrn 1 def /crfilblu 1 def /filinclr true def
+/filwpat false def
+TopDrawDict /piddict known TopDrawDict /ipiddict known or {
+ 1 getpat /crfilpat exch def
+} if
+/filwittrans false def
+/strwpat false def
+TopDrawDict /piddict known TopDrawDict /ipiddict known or {
+ 1 getpat /crstrpat exch def
+} if
+/strwittrans false def
+/usedash false def
+/strdsh [2 2 8 2] def /dshpatoff 0 def
+/crendarw false def
+/crfrtarw false def
+/txtdraw false def
+/crtxtalph 1 def
+/crtxtred 0 def /crtxtgrn 0 def /crtxtblu 0 def /txtinclr true def
+/txtwpat false def
+/txtwittrans false def
+/txlndraw false def
+/crtxlnalph 1 def
+/crtxlnred 0 def /crtxlngrn 0 def /crtxlnblu 0 def /txlninclr true def
+/txlnwpat false def
+/txlnwittrans false def
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -306 0 400 345.999969 1 0 0 1 -57.018005 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -18 94 364 1 0 0 1 -57.018005 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 18 0 94 364 1 0 0 1 -57.018005 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -0.981995 -36 54.981995 396 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 112 400 1 0 0 1 -57.018005 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -36 148 436 1 0 0 1 -57.018005 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 148 436 1 0 0 1 -57.018005 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -36 184 472 1 0 0 1 -57.018005 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 35.018005 0 126.981995 468 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 36 220 472 1 0 0 1 -57.018005 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 220 508 1 0 0 1 -57.018005 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0.981995 36 198 504 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 256 544 1 0 0 1 -57.018005 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0.981995 36 234 540 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 292 580 1 0 0 1 -57.018005 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -36 328 580 1 0 0 1 -57.018005 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 328 544 1 0 0 1 -57.018005 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -72 364 544 1 0 0 1 -57.018005 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 364 472 1 0 0 1 -57.018005 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -126 400 472 1 0 0 1 -57.018005 -4 sc6mt astore ssl
+/txtdraw true def
+/txlndraw true def
+(4 ) [7.783997 0 0 0] 63 510 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 130.678009 -102] dotx
+(No incoming current ) [10.108002 0 7.783997 0 -17.891998 -16.184021 3.108002 0 7.783997 0 7 0 7.783997 0 11.662003 0 3.108002 0 7.783997 0 7.783997 0 -56.013992 -16.184021 7 0 7.783997 0 4.662003 0 4.662003 0 7.783997 0 7.783997 0 3.891998 0 0 0] 170 701 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 141.981995 -183] dotx
+/usedash true def
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -18 -18 91 342 1 0 0 1 -57.018005 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 18 18 333 582 1 0 0 1 -57.018005 -4 sc6mt astore ssl
+(C ) [10.108002 0 0 0] 481 256 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -186.018005 340] dotx
+(L ) [7.783997 0 0 0] 426 222 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -127.018005 370] dotx
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 342 0 72 342 1 0 0 1 -57.018005 -4 sc6mt astore ssl
+(C ) [10.108002 0 0 0] 481 256 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -120.018005 75] dotx
+(L ) [7.783997 0 0 0] 426 222 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -61.018005 105] dotx
+/usedash false def
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 112 580 36 -36 1 0 0 1 -57.018005 -22 sc6mt astore rstroke
+/txtdraw true def
+/txlndraw true def
+(20 cm ) [5.560001 0 5.560001 0 2.779999 0 5 0 8.330002 0 0 0] 47 406 /Helvetica [ 10 1 mul 0 0 10 0 0 ] [1 0 0 1 13.722 94.969971] dotx
+/crlinw 1.1 def
+/crendarw true def
+/crfrtarw true def
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 22.299988 0 119.600006 535 1 0 0 1 -57.018005 -22 sc6mt astore ssl
+1 0 0 1 0 0 sc5mt astore 133 554 39 14 1 0 0 1 -57.018005 -22 sc6mt astore rfill
+/txtdraw true def
+/txlndraw true def
+(Mixture index ) [11.662003 0 3.108002 0 7 0 3.891998 0 7.783997 0 4.662003 0 7.783997 0 3.891998 0 3.108002 0 7.783997 0 7.783997 0 7.363998 0 7 0 0 0] 109 679 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -46.018005 -144] dotx
+/crlinw 1 def
+/crendarw false def
+/crfrtarw false def
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -306 0 400 345.999969 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -18 94 364 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 18 0 94 364 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -54 112 400 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 112 400 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -36 148 436 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 148 436 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -36 184 472 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 108 0 184 472 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 36 220 472 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 220 508 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 72 256 472 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 256 544 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 72 292 508 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 292 580 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -36 328 580 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 328 544 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -72 364 544 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 364 472 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -126 400 472 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 292 508 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -72 328 508 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 328 436 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -90 364 436 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -72 292 472 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 292 400 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -54 328 400 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 18 256 346 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -36 0 256 364 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -18 220 364 1 0 0 1 320.981995 -4 sc6mt astore ssl
+(3 ) [7.783997 0 0 0] 146 289 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 273.981995 56] dotx
+(3 ) [7.783997 0 0 0] 226 264 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 328.981995 81] dotx
+(3 ) [7.783997 0 0 0] 298 235 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 256.981995 246] dotx
+(1 ) [7.783997 0 0 0] 83 585 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 561.981995 -176] dotx
+(2 ) [7.783997 0 0 0] 157 590 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 378.981995 -182] dotx
+(4 ) [7.783997 0 0 0] 63 510 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 634.981995 -102] dotx
+(No incoming current ) [10.108002 0 7.783997 0 -17.891998 -16.184021 3.108002 0 7.783997 0 7 0 7.783997 0 11.662003 0 3.108002 0 7.783997 0 7.783997 0 -56.013992 -16.184021 7 0 7.783997 0 4.662003 0 4.662003 0 7.783997 0 7.783997 0 3.891998 0 0 0] 170 701 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 519.981995 -183] dotx
+/usedash true def
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -18 -18 91 342 1 0 0 1 320.981995 -4 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 18 18 333 582 1 0 0 1 320.981995 -4 sc6mt astore ssl
+(C ) [10.108002 0 0 0] 481 256 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 191.981995 340] dotx
+(L ) [7.783997 0 0 0] 426 222 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 250.981995 370] dotx
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 342 0 72 342 1 0 0 1 320.981995 -4 sc6mt astore ssl
+(C ) [10.108002 0 0 0] 481 256 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 257.981995 75] dotx
+(L ) [7.783997 0 0 0] 426 222 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 316.981995 105] dotx
+/usedash false def
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -306 0 400 345.999969 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -18 94 364 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 18 0 94 364 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -54 112 400 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 71.018005 0 54.981995 108 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -36 148 436 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 148 436 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -72 126 180 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 108 0 184 472 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 36 220 472 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 220 508 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 72 256 472 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 256 544 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 72 292 508 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 292 580 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -36 328 580 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 328 544 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -72 364 544 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 364 472 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -126 400 472 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 292 508 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -72 328 508 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 328 436 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -90 364 436 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -72 292 472 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 292 400 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -54 328 400 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 18 256 346 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -36 0 256 364 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -18 220 364 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+(3 ) [7.783997 0 0 0] 146 289 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -104.018005 -232] dotx
+(3 ) [7.783997 0 0 0] 226 264 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -49.018005 -207] dotx
+(3 ) [7.783997 0 0 0] 298 235 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -121.018005 -42] dotx
+(1 ) [7.783997 0 0 0] 83 585 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 183.981995 -464] dotx
+(2 ) [7.783997 0 0 0] 157 590 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 19.981995 -470] dotx
+(4 ) [7.783997 0 0 0] 63 510 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 256.981995 -390] dotx
+(No incoming current ) [10.108002 0 7.783997 0 -17.891998 -16.184021 3.108002 0 7.783997 0 7 0 7.783997 0 11.662003 0 3.108002 0 7.783997 0 7.783997 0 -56.013992 -16.184021 7 0 7.783997 0 4.662003 0 4.662003 0 7.783997 0 7.783997 0 3.891998 0 0 0] 170 701 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 141.981995 -471] dotx
+/usedash true def
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -18 -18 91 342 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 18 18 333 582 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+(C ) [10.108002 0 0 0] 481 256 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -186.018005 52] dotx
+(L ) [7.783997 0 0 0] 426 222 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -127.018005 82] dotx
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 342 0 72 342 1 0 0 1 -57.018005 -292 sc6mt astore ssl
+(C ) [10.108002 0 0 0] 481 256 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -120.018005 -213] dotx
+(L ) [7.783997 0 0 0] 426 222 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -61.018005 -183] dotx
+/usedash false def
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -306 0 400 345.999969 1 0 0 1 320.981995 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -18 94 364 1 0 0 1 320.981995 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 18 0 94 364 1 0 0 1 320.981995 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -54 112 400 1 0 0 1 320.981995 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 71.018005 0 432.981995 108 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -36 148 436 1 0 0 1 320.981995 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 148 436 1 0 0 1 320.981995 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 71.018005 0 504.981995 180 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 36 220 472 1 0 0 1 320.981995 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 220 508 1 0 0 1 320.981995 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 72 256 472 1 0 0 1 320.981995 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 256 544 1 0 0 1 320.981995 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0.981995 36 612 252 1 0 0 1 0 0 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 292 580 1 0 0 1 320.981995 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -36 328 580 1 0 0 1 320.981995 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 328 544 1 0 0 1 320.981995 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -72 364 544 1 0 0 1 320.981995 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 36 0 364 472 1 0 0 1 320.981995 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -126 400 472 1 0 0 1 320.981995 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 18 256 346 1 0 0 1 320.981995 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -36 0 256 364 1 0 0 1 320.981995 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -18 220 364 1 0 0 1 320.981995 -292 sc6mt astore ssl
+(4 ) [7.783997 0 0 0] 63 510 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 543.981995 -389] dotx
+(No incoming current ) [10.108002 0 7.783997 0 -17.891998 -16.184021 3.108002 0 7.783997 0 7 0 7.783997 0 11.662003 0 3.108002 0 7.783997 0 7.783997 0 -56.013992 -16.184021 7 0 7.783997 0 4.662003 0 4.662003 0 7.783997 0 7.783997 0 3.891998 0 0 0] 170 701 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 519.981995 -471] dotx
+/usedash true def
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore -18 -18 91 342 1 0 0 1 320.981995 -292 sc6mt astore ssl
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 18 18 333 582 1 0 0 1 320.981995 -292 sc6mt astore ssl
+(C ) [10.108002 0 0 0] 481 256 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 191.981995 52] dotx
+(L ) [7.783997 0 0 0] 426 222 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 250.981995 82] dotx
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 342 0 72 342 1 0 0 1 320.981995 -292 sc6mt astore ssl
+(C ) [10.108002 0 0 0] 481 256 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 257.981995 -213] dotx
+(L ) [7.783997 0 0 0] 426 222 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 316.981995 -183] dotx
+(Plane 1 ) [9.338013 0 3.108002 0 7.783997 0 7.783997 0 7.783997 0 3.891998 0 7.783997 0 0 0] 254 680 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -201 -109] dotx
+(Plane 2 ) [9.338013 0 3.108002 0 7.783997 0 7.783997 0 7.783997 0 3.891998 0 7.783997 0 0 0] 396 609 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 36 -39] dotx
+(Plane 3 ) [9.338013 0 3.108002 0 7.783997 0 7.783997 0 7.783997 0 3.891998 0 7.783997 0 0 0] 402 561 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -349 -296] dotx
+(Plane 4 ) [9.338013 0 3.108002 0 7.783997 0 7.784027 0 7.783997 0 3.892029 0 7.783997 0 0 0] 484 680 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -53 -416] dotx
+(3 ) [7.783997 0 0 0] 145 658 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 -41.307999 -537.84198] dotx
+/usedash false def
+1 0 0 1 0 0 sc4mt astore 1 0 0 1 0 0 sc5mt astore 0 -72 504 180 1 0 0 1 0 0 sc6mt astore ssl
+(5 ) [7.783997 0 0 0] 229 674 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 253 -553] dotx
+(5 ) [7.783997 0 0 0] 361 688 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 58 -631] dotx
+(5 ) [7.783997 0 0 0] 463 659 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 91 -602] dotx
+(5 ) [7.783997 0 0 0] 547 685 /Helvetica [ 14 1 mul 0 0 14 0 0 ] [1 0 0 1 8 -493] dotx
+end
+grestore
+grestore
+%%Trailer
+%%DocumentFonts: Helvetica
+%%BoundingBox: 0.000000 0.000000 737.897034 579.356628
diff --git a/doc/IGE369/install b/doc/IGE369/install
new file mode 100755
index 0000000..2567797
--- /dev/null
+++ b/doc/IGE369/install
@@ -0,0 +1,44 @@
+#!/bin/csh
+#
+# author : A. Hebert
+# use : install
+#
+chmod 755 .
+if (-e /usr/local/common/TeX.csh) then
+ source /usr/local/common/TeX.csh
+endif
+#
+if (-e $1.tex) then
+ set nom_fich = $1
+else
+ set nom_fich = `basename $PWD`
+endif
+echo "begin typesetting file" $nom_fich.tex
+latex $nom_fich.tex > /dev/null
+echo "first typesetting completed"
+if ( -f $nom_fich.idx ) then
+ set header = $nom_fich
+ set core = ` echo $nom_fich | sed -e's/header_//' `
+ cp $header.idx header_tmp.idx
+ makeindex header_tmp.idx
+ if ( -f header_tmp.tex ) /bin/rm header_tmp.tex
+ if ( -f tmp.tex ) /bin/rm tmp.tex
+ cp $header.tex header_tmp.tex
+ cp $core.tex tmp.tex
+ latex header_tmp.tex > /dev/null
+ latex header_tmp.tex > /dev/null
+ latex header_tmp.tex > /dev/null
+ dvips -f header_tmp.dvi -o header_tmp.ps
+ mv header_tmp.ps $nom_fich.ps
+else
+ dvips -f $nom_fich.dvi -o $nom_fich.ps
+endif
+/bin/rm header_tmp.* tmp.tex
+/bin/rm *.aux
+echo "create pdf file" $nom_fich.pdf
+ps2pdf $nom_fich.ps
+echo "pdf file produced"
+open $nom_fich.pdf
+/bin/rm $nom_fich.dvi $nom_fich.ps $nom_fich.idx $nom_fich.log
+/bin/rm $nom_fich.toc $nom_fich.lot $nom_fich.lof $nom_fich.out
+exit
diff --git a/doc/IGE369/lmw.eps b/doc/IGE369/lmw.eps
new file mode 100644
index 0000000..401a8cc
--- /dev/null
+++ b/doc/IGE369/lmw.eps
@@ -0,0 +1,418 @@
+%!PS-Adobe-2.0 EPSF-2.0
+%%Title:
+%%Creator: AppsoftDraw
+%%CreationDate: Wed Mar 23 21:14:35 1994
+%%For: hebert
+%%DocumentFonts: (atend)
+%%Pages: 0 0
+%%BoundingBox: 0 0 253 271
+%%NXNextStepVersion: 3.0
+%%EndComments
+
+%%BeginProcSet: /usr/lib/NextStep/printPackage.ps 3.0
+%!
+% NeXT Printing Package
+% Version: 3.1
+% Copyright: 1988, NeXT, Inc.
+
+/__NXdef{1 index where{pop pop pop}{def}ifelse}bind def
+/__NXbdef{1 index where{pop pop pop}{bind def}ifelse}bind def
+/UserObjects 10 array __NXdef
+/defineuserobject{
+ exch dup 1 add dup UserObjects length gt{
+ array dup 0 UserObjects putinterval
+ /UserObjects exch def
+ }{pop}ifelse UserObjects exch 3 -1 roll put
+}__NXbdef
+/undefineuserobject{UserObjects exch null put}__NXbdef
+/execuserobject{UserObjects exch get exec}__NXbdef
+/__NXRectPath{4 2 roll moveto 1 index 0 rlineto
+0 exch rlineto neg 0 rlineto closepath}__NXbdef
+/__NXProcessRectArgs{
+ 1 index type /arraytype eq{
+ exch 0 4 2 index length 1 sub{
+ dup 3 add 1 exch{1 index exch get exch}for
+ 5 1 roll 5 index exec
+ }for pop pop
+ }{exec}ifelse
+}__NXbdef
+/rectfill{gsave newpath {__NXRectPath fill} __NXProcessRectArgs grestore}__NXbdef
+/rectclip{newpath {__NXRectPath} __NXProcessRectArgs clip newpath}__NXbdef
+/rectstroke{
+ gsave newpath dup type /arraytype eq{dup length 6 eq}{false}ifelse{
+ {gsave __NXRectPath null concat stroke grestore}
+ dup length array cvx copy dup 2 4 -1 roll put __NXProcessRectArgs
+ }{{__NXRectPath stroke} __NXProcessRectArgs}ifelse grestore
+}__NXbdef
+/_NXLevel2 systemdict /languagelevel known {languagelevel 2 ge}{false}ifelse __NXdef
+/xyshow{
+ 0 1 3 index length 1 sub{
+ currentpoint 4 index 3 index 1 getinterval show
+ 3 index 3 index 2 mul 1 add get add exch
+ 3 index 3 index 2 mul get add exch moveto pop
+ }for pop pop
+}__NXbdef
+/xshow{
+ 0 1 3 index length 1 sub{
+ currentpoint 4 index 3 index 1 getinterval show
+ exch 3 index 3 index get add exch moveto pop
+ }for pop pop
+}__NXbdef
+/yshow{
+ 0 1 3 index length 1 sub{
+ currentpoint 4 index 3 index 1 getinterval show
+ 3 index 3 index get add moveto pop
+ }for pop pop
+}__NXbdef
+/arct{arcto pop pop pop pop}__NXbdef
+/setbbox{pop pop pop pop}__NXbdef
+/ucache{}__NXbdef
+/ucachestatus{mark 0 0 0 0 0}__NXbdef
+/setucacheparams{cleartomark}__NXbdef
+/uappend{systemdict begin cvx exec end}__NXbdef
+/ueofill{gsave newpath uappend eofill grestore}__NXbdef
+/ufill{gsave newpath uappend fill grestore}__NXbdef
+/ustroke{
+ gsave newpath dup length 6 eq
+ {exch uappend concat}{uappend}ifelse
+ stroke grestore
+}__NXbdef
+/__NXustrokepathMatrix dup where {pop pop}{matrix def}ifelse
+/ustrokepath{
+ newpath dup length 6 eq{
+ exch uappend __NXustrokepathMatrix currentmatrix exch concat
+ strokepath setmatrix
+ }{uappend strokepath}ifelse
+} __NXbdef
+/upath{
+ [exch {/ucache cvx}if pathbbox /setbbox cvx
+ {/moveto cvx}{/lineto cvx}{/curveto cvx}{/closepath cvx}pathforall]cvx
+} __NXbdef
+/setstrokeadjust{pop}__NXbdef
+/currentstrokeadjust{false}__NXbdef
+/selectfont{exch findfont exch
+dup type /arraytype eq {makefont}{scalefont}ifelse setfont}__NXbdef
+/_NXCombineArrays{
+ counttomark dup 2 add index dup length 3 -1 roll {
+ 2 index length sub dup 4 1 roll 1 index exch 4 -1 roll putinterval exch
+ }repeat pop pop pop
+}__NXbdef
+/flushgraphics{}def
+/setwindowtype{pop pop}def
+/currentwindowtype{pop 0}def
+/setalpha{pop}def
+/currentalpha{1.0}def
+/hidecursor{}def
+/obscurecursor{}def
+/revealcursor{}def
+/setcursor{4 {pop}repeat}bind def
+/showcursor{}def
+/NextStepEncoding where not{
+/NextStepEncoding StandardEncoding 256 array copy def
+0 [129/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/Ccedilla/Egrave
+/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis
+/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis/Ugrave/Uacute
+/Ucircumflex/Udieresis/Yacute/Thorn/mu/multiply/divide/copyright
+176/registered 181/brokenbar 190/logicalnot 192/onesuperior 201/twosuperior
+204/threesuperior 209/plusminus/onequarter/onehalf/threequarters/agrave
+/aacute/acircumflex/atilde/adieresis/aring/ccedilla/egrave/eacute
+/ecircumflex/edieresis/igrave 226/iacute 228/icircumflex/idieresis/eth
+/ntilde 236/ograve/oacute/ocircumflex/otilde/odieresis 242/ugrave/uacute
+/ucircumflex 246/udieresis/yacute 252/thorn/ydieresis]
+{dup type /nametype eq
+ {NextStepEncoding 2 index 2 index put pop 1 add}{exch pop}ifelse
+}forall pop
+/NextStepEncoding NextStepEncoding readonly def
+/_NXfstr 128 string dup 0 (_NX) putinterval def
+/_NXfindfont /findfont load def
+/findfont{
+ % Because we can never let NextStepEncoding get into
+ % SharedFontDirectory, we cannot reencode a font to NextStepEncoding
+ % if we are in shared mode. So if currentshared is true,
+ % we call the normal findfont and return that
+ /currentshared where {pop currentshared} {false} ifelse
+ {_NXfindfont}
+ {dup _NXfstr 3 125 getinterval cvs length 3 add _NXfstr 0 3 -1 roll
+ getinterval cvn exch FontDirectory 2 index known
+ {pop FontDirectory exch get}
+ {_NXfindfont dup /Encoding get StandardEncoding eq
+ { dup length dict exch
+ {1 index /FID ne {2 index 3 1 roll put}{pop pop}ifelse}forall
+ dup /Encoding NextStepEncoding put definefont
+ }{exch pop} ifelse
+ }ifelse
+ }ifelse
+}bind def
+}{pop}ifelse
+/_NXImageString {/__NXImageString where{pop}{/__NXImageString 4000 string __NXdef}ifelse __NXImageString}__NXbdef
+/_NXDoImageOp{
+ 3 dict begin /parr 5 array def 1 index{dup}{1}ifelse /chans exch def
+ chans 2 add 2 roll parr 0 chans getinterval astore pop
+ 5 index 4 index mul 2 index{1 sub 8 idiv 1 add mul}{mul 1 sub 8 idiv 1 add}ifelse
+ 4 index mul /totbytes exch def pop exch pop
+ gsave matrix invertmatrix concat 0.5 setgray 0 0 4 2 roll rectfill grestore
+ {0 1 chans 1 sub{parr exch get exec length totbytes exch sub /totbytes exch def}for totbytes 0 le{exit}if}loop end
+}__NXbdef
+/alphaimage{1 add _NXDoImageOp}def
+_NXLevel2{
+ /NXCalibratedRGBColorSpace where{pop}{
+ /NXCalibratedRGBColorSpace
+ {mark /NXCalibratedRGB /ColorSpace findresource exch pop}stopped
+ {cleartomark /NXCalibratedRGB[/CIEBasedABC 2 dict dup begin
+ /MatrixLMN[.4124 .2126 .0193 .3576 .7152 .1192 .1805 .0722 .9505]def
+ /WhitePoint[.9505 1 1.089] def end] /ColorSpace defineresource}if def}ifelse
+ /nxsetrgbcolor{NXCalibratedRGBColorSpace setcolorspace setcolor}__NXbdef
+ /nxsetgray{dup dup nxsetrgbcolor}__NXbdef
+ /_NXCalibratedImage{exch{array astore dup length true}{false}ifelse
+ 8 -1 roll{NXCalibratedRGBColorSpace setcolorspace}if
+ 8 dict dup 9 1 roll begin /ImageType 1 def /MultipleDataSources exch def
+ currentcolorspace 0 get /Indexed eq{pop /Decode[0 2 6 index exp 1 sub]def}
+ {2 mul dup array /Decode exch def 1 sub 0 1 3 -1 roll{Decode exch dup 2 mod put}for}ifelse
+ /DataSource exch def /ImageMatrix exch def
+ /BitsPerComponent exch def /Height exch def /Width exch def end image}__NXbdef
+} {
+ /setcmykcolor{
+ 1.0 exch sub dup dup 6 -1 roll sub dup 0 lt{pop 0}if 5 1 roll
+ 4 -1 roll sub dup 0 lt{pop 0}if 3 1 roll exch sub dup 0 lt{pop 0}if setrgbcolor}__NXbdef
+ /currentcmykcolor{currentrgbcolor 3{1.0 exch sub 3 1 roll}repeat 0}__NXbdef
+ /colorimage{2 copy 3 ne or{_NXDoImageOp}{4 index dup 8 ne exch 4 ne and{_NXDoImageOp}{
+ pop pop save 6 1 roll 12 dict begin/Proc exch def/Res 0 string def
+ /Alloc{2 index length mul 2 add dup 2 index load length gt{1.2 mul round cvi string def}{pop pop}ifelse}def
+ 1 index 8 eq{/Unpack{.34 Alloc}def}{
+ /Wid 4 index 3 mul def exch pop 8 exch/Str1 0 string def/Lim Wid def
+ /Unpack{.67 Alloc/Str1 2 Alloc 0 exch Lim exch
+ {dup -4 bitshift 17 mul Str1 exch 4 index exch put 15 and 17 mul Str1 exch 3 index 1 add exch put
+ 2 sub dup 0 le{0 lt Wid exch{exch 1 sub exch}if}if exch 2 add exch
+ }forall/Lim exch def Str1 exch 0 exch getinterval
+ }def
+ }ifelse
+ /Ops[{.3 mul add 1}{.59 mul add 2}{.11 mul add round cvi Res exch 2 index exch put 1 add 0.0 0}]def/Val 0.0 def/Phase 0 def
+ {0 Val Phase Proc/Res Unpack{exch Ops exch get exec}forall/Phase exch def/Val exch def Res exch 0 exch getinterval}
+ image end restore}ifelse}ifelse
+ }__NXbdef
+ /nxsetrgbcolor{setrgbcolor}__NXbdef /nxsetgray{setgray}__NXbdef
+ /setpattern{pop .5 setgray}__NXbdef
+ /_NXCalibratedImage{dup 1 eq {pop pop image}{colorimage}ifelse pop}__NXbdef
+} ifelse
+/_NXSetCMYKOrRGB where{pop}{
+ mark{systemdict /currentwindow get exec}stopped
+ {{pop pop pop setcmykcolor}}{{nxsetrgbcolor pop pop pop pop}}ifelse /_NXSetCMYKOrRGB exch def cleartomark
+}ifelse
+%%EndProcSet
+
+_NXLevel2{/_NXsethsb where{pop}{/_NXsethsb /sethsbcolor load def}ifelse /sethsbcolor{_NXsethsb currentrgbcolor nxsetrgbcolor}def /setrgbcolor{nxsetrgbcolor}bind def /setgray{nxsetgray}bind def
+}if
+gsave
+ /__NXbasematrix matrix currentmatrix def
+grestore
+%%EndProlog
+%%BeginSetup
+/TopDrawDict 250 dict def
+TopDrawDict begin /prt_stack {
+ (***Top of Stack\012) print pstack (---Bottom of Stack\012) print flush
+} def /prt_top {
+ (top item of stack) == dup == flush
+} def /prtmat matrix def /prt_ctm {
+ (current transformation matrix: ) print prtmat currentmatrix == flush
+} def /tmmat matrix def /obmat matrix def /strmat matrix def /pgmat matrix def /idmat matrix def /sc1mt matrix def /sc2mt matrix def /sc3mt matrix def /sc4mt matrix def /sc5mt matrix def /sc6mt matrix def /sc7mt matrix def /inmat matrix def /ctmmt matrix def /octmmt matrix def /clpmt matrix def /weglet_mat matrix def /crlinw 1 def crlinw setlinewidth /crlinjn 0 def crlinjn setlinejoin /crlincp 0 def crlincp setlinecap /crmtrlmt currentmiterlimit def /crstrpat 0 def /crfilpat 0 def /crflat currentflat def /dftflat currentflat def /strinclr false def /crlingry 0 def /crlinred 0 def /crlingrn 0 def /crlinblu 0 def /crlinalph 1 def /filinclr false def /crfilgry 0 def /crfilred 0 def /crfilgrn 0 def /crfilblu 0 def /crfilalph 1 def /crfilstyl 0 def /txtdraw true def /txtinclr false def /txtwpat false def /txtwittrans false def /crtxtgry 0 def /crtxtred 0 def /crtxtgrn 0 def /crtxtblu 0 def /crtxtalph 1 def /crtxtpat 0 def /txlndraw true def /txlninclr false def /txlnwpat false def /txlnwittrans false def /crtxlngry 0 def /crtxlnred 0 def /crtxlngrn 0 def /crtxlnblu 0 def /crtxlnalph 1 def /crtxlnpat 0 def /hilittxt false def /strdsh [2 2] def /dshpatoff 0 def /usedash false def /filwpat false def /strwpat false def /filwittrans false def /strwittrans false def /crfrtarw false def /crendarw false def /rsave 0 def /esave 0 def /sslsave 0 def /lsave 0 def /clpsave 0 def /pathsave 0 def /tpatstr 10 string def /ptdist {
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diff --git a/doc/IGE369/scat.eps b/doc/IGE369/scat.eps
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new file mode 100644
index 0000000..aec4beb
--- /dev/null
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Binary files differ