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-rw-r--r--Master/texmf-dist/doc/latex/bnumexpr/README85
-rw-r--r--Master/texmf-dist/doc/latex/bnumexpr/bnumexpr.pdfbin0 -> 82370 bytes
-rw-r--r--Master/texmf-dist/doc/latex/bnumexpr/bnumexpr.tex27
-rw-r--r--Master/texmf-dist/source/latex/bnumexpr/bnumexpr.dtx1117
-rw-r--r--Master/texmf-dist/source/latex/bnumexpr/bnumexpr.ins36
-rw-r--r--Master/texmf-dist/tex/latex/bnumexpr/bnumexpr.sty405
-rwxr-xr-xMaster/tlpkg/bin/tlpkg-ctan-check2
-rw-r--r--Master/tlpkg/tlpsrc/bnumexpr.tlpsrc0
-rw-r--r--Master/tlpkg/tlpsrc/collection-latexextra.tlpsrc1
9 files changed, 1672 insertions, 1 deletions
diff --git a/Master/texmf-dist/doc/latex/bnumexpr/README b/Master/texmf-dist/doc/latex/bnumexpr/README
new file mode 100644
index 00000000000..6579fbceaf6
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/bnumexpr/README
@@ -0,0 +1,85 @@
+The bnumexpr package
+Version: 2014/09/21, v1.1
+Info: Expressions with big integers
+
+Copyright (C) 2014 by Jean-Francois Burnol <jfbu at free dot fr>
+
+This work may be distributed and/or modified under the
+conditions of the LaTeX Project Public License, either
+version 1.3c of this license or (at your option) any later
+version. This version of this license is in
+ http://www.latex-project.org/lppl/lppl-1-3c.txt
+and the latest version of this license is in
+ http://www.latex-project.org/lppl.txt
+and version 1.3 or later is part of all distributions of
+LaTeX version 2005/12/01 or later.
+
+This work has the LPPL maintenance status "maintained".
+
+This Current Maintainer of this work is Jean-Francois Burnol.
+
+This work consists of the main source file bnumexpr.dtx
+and the derived files
+ bnumexpr.sty, bnumexpr.pdf, bnumexpr.ins, bnumexpr.tex
+
+Usage
+=====
+
+\usepackage{bnumexpr}
+
+Then \thebnumexpr <expression with +,-,*,/,(,)> \relax is like
+ \the\numexpr <expression with +,-,*,/,(,)> \relax
+with the difference of accepting or producing arbitrarily big
+integers.
+
+Example:
+ \thebnumexpr 30*(21-43*(512-67*(6133-812*2897)))\relax
+outputs:
+ -202785405180
+which would create an arithmetic overflow in \numexpr.
+
+\bnumexpr...\relax is a scaled down version of \xintiiexpr...\relax
+from package xintexpr.
+
+By default, bnumexpr.sty loads xint.sty for its arithmetic macros
+doing addition, subtraction, multiplication, division.
+
+With option custom, xint.sty is not loaded and it is up to the user
+to define \bnumexprAdd, \bnumexprSub, \bnumexprMul, \bnumexprDiv
+
+Option bigintcalc maps them to the macros from package bigintcalc.
+
+Option allowpower enables ^ as power operator.
+
+Installation
+============
+
+obtain bnumexpr.dtx, bnumexpr.ins and the README from CTAN:
+ http://www.ctan.org/pkg/bnumexpr
+
+- "tex bnumexpr.ins" generates the style file
+(pre-existing file in the same repertory will be overwritten).
+
+- without bnumexpr.ins: "tex or latex or pdflatex or xelatex bnumexpr.dtx"
+will also generate the style files (and bnumexpr.ins).
+
+bnumexpr.tex is also extracted, use it for the documentation:
+
+- with latex+dvipdfmx: latex bnumexpr.tex thrice then dvipdfmx bnumexpr.dvi
+Ignore dvipdfmx warnings, but if the pdf file has problems with fonts
+(possibly from an old dvipdfmx), use then rather pdflatex or xelatex.
+
+- with pdflatex or xelatex: run it directly thrice on bnumexpr.dtx, or run
+it on bnumexpr.tex after having edited the suitable toggle therein.
+
+Finishing the installation: (on first installation the destination
+repertories may need to be created)
+
+ bnumexpr.sty --> TDS:tex/latex/bnumexpr/
+
+ bnumexpr.dtx --> TDS:source/latex/bnumexpr/
+ bnumexpr.ins --> TDS:source/latex/bnumexpr/
+
+ bnumexpr.pdf --> TDS:doc/latex/bnumexpr/
+ README --> TDS:doc/latex/bnumexpr/
+
diff --git a/Master/texmf-dist/doc/latex/bnumexpr/bnumexpr.pdf b/Master/texmf-dist/doc/latex/bnumexpr/bnumexpr.pdf
new file mode 100644
index 00000000000..22235b4a02f
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/bnumexpr/bnumexpr.pdf
Binary files differ
diff --git a/Master/texmf-dist/doc/latex/bnumexpr/bnumexpr.tex b/Master/texmf-dist/doc/latex/bnumexpr/bnumexpr.tex
new file mode 100644
index 00000000000..de20c8461aa
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/bnumexpr/bnumexpr.tex
@@ -0,0 +1,27 @@
+\def\bnedocdate {2014/09/21} % package bnumexpr documentation date
+\def\bnepackdate{2014/09/21} % package bnumexpr date
+\def\bneversion {1.1} % package bnumexpr version
+%%----------------------------------------------------------------
+%% The bnumexpr package: Expressions with big integers
+%% Copyright (C) 2014 by Jean-Francois Burnol
+%%----------------------------------------------------------------
+%% This is a generated file.
+%%
+%% latex bnumexpr.tex (thrice) && dvipdfmx bnumexpr.dvi --> bnumexpr.dtx
+%%
+%% See bnumexpr.dtx for the copyright and license statements.
+%%
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesFile{bnumexpr.tex}%
+[\bnepackdate\space v\bneversion\space driver file for %
+ bnumexpr documentation (jfB)]%
+\PassOptionsToClass{a4paper,fontsize=11pt}{scrdoc}
+\chardef\Withdvipdfmx 1 % replace 1 by 0 for using pdflatex
+\chardef\NoSourceCode 0 % replace 0 by 1 for not including source code
+\input bnumexpr.dtx
+%%% Local Variables:
+%%% mode: latex
+%%% End:
+\endinput
+%%
+%% End of file `bnumexpr.tex'.
diff --git a/Master/texmf-dist/source/latex/bnumexpr/bnumexpr.dtx b/Master/texmf-dist/source/latex/bnumexpr/bnumexpr.dtx
new file mode 100644
index 00000000000..2f9a8666495
--- /dev/null
+++ b/Master/texmf-dist/source/latex/bnumexpr/bnumexpr.dtx
@@ -0,0 +1,1117 @@
+% -*- coding: iso-latin-1; time-stamp-format: "%02d-%02m-%:y at %02H:%02M:%02S %Z" -*-
+%<*dtx>
+\def\bnedtxtimestamp {Time-stamp: <21-09-2014 at 15:24:58 CEST>}
+%</dtx>
+%
+% File: bnumexpr.dtx
+% Version: 2014/09/21, v1.1
+% Info: Expressions with big integers
+%
+% Copyright (C) 2014 by Jean-Francois Burnol <jfbu at free dot fr>
+%
+% This work may be distributed and/or modified under the
+% conditions of the LaTeX Project Public License, either
+% version 1.3c of this license or (at your option) any later
+% version. This version of this license is in
+% http://www.latex-project.org/lppl/lppl-1-3c.txt
+% and the latest version of this license is in
+% http://www.latex-project.org/lppl.txt
+% and version 1.3 or later is part of all distributions of
+% LaTeX version 2005/12/01 or later.
+%
+% This work has the LPPL maintenance status "maintained".
+%
+% This Current Maintainer of this work is Jean-Francois Burnol.
+%
+% This work consists of the main source file bnumexpr.dtx
+% and the derived files
+% bnumexpr.sty, bnumexpr.pdf, bnumexpr.ins, bnumexpr.tex
+%
+% Usage
+% =====
+%
+% \usepackage{bnumexpr}
+%
+% Then \thebnumexpr <expression with +,-,*,/,(,)> \relax is like
+% \the\numexpr <expression with +,-,*,/,(,)> \relax
+% with the difference of accepting or producing arbitrarily big
+% integers.
+%
+% Example:
+% \thebnumexpr 30*(21-43*(512-67*(6133-812*2897)))\relax
+% outputs:
+% -202785405180
+% which would create an arithmetic overflow in \numexpr.
+%
+% \bnumexpr...\relax is a scaled down version of \xintiiexpr...\relax
+% from package xintexpr.
+%
+% By default, bnumexpr.sty loads xint.sty for its arithmetic macros
+% doing addition, subtraction, multiplication, division.
+%
+% With option custom, xint.sty is not loaded and it is up to the user
+% to define \bnumexprAdd, \bnumexprSub, \bnumexprMul, \bnumexprDiv
+%
+% Option bigintcalc maps them to the macros from package bigintcalc.
+%
+% Option allowpower enables ^ as power operator.
+%
+% Installation
+% ============
+%
+% obtain bnumexpr.dtx, bnumexpr.ins and the README from CTAN:
+% http://www.ctan.org/pkg/bnumexpr
+%
+% - "tex bnumexpr.ins" generates the style file
+% (pre-existing file in the same repertory will be overwritten).
+%
+% - without bnumexpr.ins: "tex or latex or pdflatex or xelatex bnumexpr.dtx"
+% will also generate the style files (and bnumexpr.ins).
+%
+% bnumexpr.tex is also extracted, use it for the documentation:
+%
+% - with latex+dvipdfmx: latex bnumexpr.tex thrice then dvipdfmx bnumexpr.dvi
+% Ignore dvipdfmx warnings, but if the pdf file has problems with fonts
+% (possibly from an old dvipdfmx), use then rather pdflatex or xelatex.
+%
+% - with pdflatex or xelatex: run it directly thrice on bnumexpr.dtx, or run
+% it on bnumexpr.tex after having edited the suitable toggle therein.
+%
+% Finishing the installation: (on first installation the destination
+% repertories may need to be created)
+%
+% bnumexpr.sty --> TDS:tex/latex/bnumexpr/
+%
+% bnumexpr.dtx --> TDS:source/latex/bnumexpr/
+% bnumexpr.ins --> TDS:source/latex/bnumexpr/
+%
+% bnumexpr.pdf --> TDS:doc/latex/bnumexpr/
+% README --> TDS:doc/latex/bnumexpr/
+%
+%<*drv>
+\def\bnedocdate {2014/09/21} % package bnumexpr documentation date
+\def\bnepackdate{2014/09/21} % package bnumexpr date
+\def\bneversion {1.1} % package bnumexpr version
+%</drv>
+%%----------------------------------------------------------------
+%% The bnumexpr package: Expressions with big integers
+%% Copyright (C) 2014 by Jean-Francois Burnol
+%%----------------------------------------------------------------
+%<*dtx>
+\iffalse
+%</dtx>
+%<*drv>----------------------------------------------------------------------
+%% This is a generated file.
+%%
+%% latex bnumexpr.tex (thrice) && dvipdfmx bnumexpr.dvi --> bnumexpr.dtx
+%%
+%% See bnumexpr.dtx for the copyright and license statements.
+%%
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesFile{bnumexpr.tex}%
+[\bnepackdate\space v\bneversion\space driver file for %
+ bnumexpr documentation (jfB)]%
+\PassOptionsToClass{a4paper,fontsize=11pt}{scrdoc}
+\chardef\Withdvipdfmx 1 % replace 1 by 0 for using pdflatex
+\chardef\NoSourceCode 0 % replace 0 by 1 for not including source code
+\input bnumexpr.dtx
+%%% Local Variables:
+%%% mode: latex
+%%% End:
+%</drv>----------------------------------------------------------------------
+%<*ins>-------------------------------------------------------------------------
+%% This is a generated file.
+%%
+%% tex bnumexpr.ins will extract bnumexpr.sty and bnumexpr.tex
+%% from source file bnumexpr.dtx
+%%
+%% See bnumexpr.dtx for the copyright and license statements.
+%%
+\input docstrip.tex
+\askforoverwritefalse
+\generate{\nopreamble
+\file{bnumexpr.tex}{\from{bnumexpr.dtx}{drv}}
+\usepreamble\defaultpreamble
+\file{bnumexpr.sty}{\from{bnumexpr.dtx}{package}}}
+\catcode32=13\relax% active space
+\let =\space%
+\Msg{************************************************************************}
+\Msg{*}
+\Msg{* To finish the installation you have to move the following}
+\Msg{* files into a directory searched by TeX:}
+\Msg{*}
+\Msg{* bnumexpr.sty}
+\Msg{*}
+\Msg{* To produce the documentation run latex thrice on bnumexpr.tex}
+\Msg{* then dvipdfmx on bnumexpr.dvi. (ignore the dvipdfmx warnings)}
+\Msg{*}
+\Msg{* Happy TeXing!}
+\Msg{*}
+\Msg{************************************************************************}
+\endbatchfile
+%</ins>-------------------------------------------------------------------------
+%<*dtx>
+\fi % end of \iffalse block
+\chardef\noetex 0
+\expandafter\ifx\csname numexpr\endcsname\relax \chardef\noetex 1 \fi
+\ifnum\noetex=1 \chardef\extractfiles 0 % extract files, then stop
+\else
+ \expandafter\ifx\csname ProvidesFile\endcsname\relax
+ \chardef\extractfiles 0 % etex etc.. on bnumexpr.dtx
+ \else % latex/pdflatex on bnumexpr.tex or on bnumexpr.dtx
+ \expandafter\ifx\csname Withdvipdfmx\endcsname\relax
+ % latex run is on bnumexpr.dtx, we will extract all files
+ \chardef\extractfiles 1 % 1 = extract and typeset, 2=only typeset
+ \chardef\Withdvipdfmx 0 % 1 = use dvipdfmx, 0 = use pdflatex
+ \chardef\NoSourceCode 0 % 1 = do not include source code
+ \NeedsTeXFormat{LaTeX2e}%
+ \PassOptionsToClass{a4paper,fontsize=11pt}{scrdoc}%
+ \else % latex run is on etoc.tex,
+ \chardef\extractfiles 2 % no extractions
+ \fi
+ \ProvidesFile{bnumexpr.dtx}[bundle source (\bnedtxtimestamp)]%
+ \fi
+\fi
+\ifnum\extractfiles<2 % extract files
+\def\MessageDeFin{\newlinechar10 \let\Msg\message
+\Msg{^^J}%
+\Msg{********************************************************************^^J}%
+\Msg{*^^J}%
+\Msg{* To finish the installation you have to move the following^^J}%
+\Msg{* files into a directory searched by TeX:^^J}%
+\Msg{*^^J}%
+\Msg{*\space\space\space\space bnumexpr.sty^^J}%
+\Msg{*^^J}%
+\Msg{* To produce the documentation run latex thrice on bnumexpr.tex^^J}%
+\Msg{* then dvipdfmx on bnumexpr.dvi. (ignore the dvipdfmx warnings)^^J}%
+\Msg{*^^J}%
+\Msg{* Happy TeXing!^^J}%
+\Msg{*^^J}%
+\Msg{********************************************************************^^J}%
+}%
+\begingroup
+ \input docstrip.tex
+ \askforoverwritefalse
+ \generate{\nopreamble
+ \file{bnumexpr.ins}{\from{bnumexpr.dtx}{ins}}
+ \file{bnumexpr.tex}{\from{bnumexpr.dtx}{drv}}
+ \usepreamble\defaultpreamble
+ \file{bnumexpr.sty}{\from{bnumexpr.dtx}{package}}}
+\endgroup
+\fi % end of file extraction
+\ifnum\extractfiles=0
+% direct tex/etex/xetex/etc on bnumexpr.dtx, files now extracted, stop
+ \MessageDeFin\expandafter\end
+\fi
+% no use of docstrip to extract files if latex compilation was on bnumexpr.tex
+\ifdefined\MessageDeFin\AtEndDocument{\MessageDeFin}\fi
+%-------------------------------------------------------------------------------
+\documentclass {scrdoc}
+\ifnum\NoSourceCode=1 \OnlyDescription\fi
+\makeatletter
+\ifnum\Withdvipdfmx=1
+ \@for\@tempa:=hyperref,bookmark,graphicx,xcolor,pict2e\do
+ {\PassOptionsToPackage{dvipdfmx}\@tempa}
+ %
+ \PassOptionsToPackage{dvipdfm}{geometry}
+ \PassOptionsToPackage{bookmarks=true}{hyperref}
+ \PassOptionsToPackage{dvipdfmx-outline-open}{hyperref}
+ \PassOptionsToPackage{dvipdfmx-outline-open}{bookmark}
+ %
+ \def\pgfsysdriver{pgfsys-dvipdfm.def}
+\else
+ \PassOptionsToPackage{bookmarks=true}{hyperref}
+\fi
+\makeatother
+
+\pagestyle{headings}
+\makeatletter
+\def\buggysectionmark #1{% KOMA 3.12 as released to CTAN December 2013
+ \if@twoside\expandafter\markboth\else\expandafter\markright\fi
+ {\MakeMarkcase{\ifnumbered{section}{\sectionmarkformat\fi}{}#1}}{}}
+\ifx\buggysectionmark\sectionmark
+\def\sectionmark #1{%
+ \if@twoside\expandafter\markboth\else\expandafter\markright\fi
+ {\MakeMarkcase{\ifnumbered{section}{\sectionmarkformat}{}#1}}{}}
+\fi
+\makeatother
+
+\usepackage[T1]{fontenc}
+\usepackage[latin1]{inputenc}
+
+\usepackage[hscale=0.66,vscale=0.75]{geometry}
+
+\usepackage[zerostyle=a,scaled=0.95]{newtxtt}
+\renewcommand\familydefault\ttdefault
+\usepackage[noendash]{mathastext}
+\renewcommand\familydefault\sfdefault
+
+\usepackage{graphicx}
+\usepackage[dvipsnames]{xcolor}
+\definecolor{joli}{RGB}{225,95,0}
+\definecolor{JOLI}{RGB}{225,95,0}
+\definecolor{BLUE}{RGB}{0,0,255}
+\definecolor{niceone}{RGB}{38,128,192}
+\colorlet{jfverbcolor}{yellow!5}
+
+\usepackage[english]{babel}
+\usepackage[autolanguage,np]{numprint}
+\AtBeginDocument{\npthousandsep{,\hskip .5pt plus .1pt minus .1pt}}
+
+\usepackage[pdfencoding=pdfdoc]{hyperref}
+\hypersetup{%
+%linktoc=all,%
+breaklinks=true,%
+colorlinks=true,%
+urlcolor=niceone,%
+linkcolor=blue,%
+pdfauthor={Jean-Fran\c cois Burnol},%
+pdftitle={The bnumexpr package},%
+pdfsubject={Arithmetic with TeX},%
+pdfkeywords={Expansion, arithmetic, TeX},%
+pdfstartview=FitH,%
+pdfpagemode=UseOutlines}
+\usepackage{bookmark}
+
+%---- \centeredline: OUR OWN LITTLE MACRO FOR CENTERING LINES
+
+% 7 mars 2013
+% This macro allows to conveniently center a line inside a paragraph and still
+% use therein \verb or other commands changing catcodes.
+% A proposito, the \LaTeX \centerline uses \hsize and not \linewidth !
+% (which in my humble opinion is bad)
+
+% \ignorespaces ajouté le 9 juin.
+
+\makeatletter
+\newcommand*\centeredline {%
+ \ifhmode \\\relax
+ \def\centeredline@{\hss\egroup\hskip\z@skip\ignorespaces }%
+ \else
+ \def\centeredline@{\hss\egroup }%
+ \fi
+ \afterassignment\@centeredline
+ \let\next=}
+\def\@centeredline
+ {\hbox to \linewidth \bgroup \hss \bgroup \aftergroup\centeredline@ }
+\makeatother
+
+
+%---- \verb, and verbatim like `environments'. \MicroFont et \MacroFont
+\def\MicroFont {\ttfamily }
+\def\MacroFont {\ttfamily\baselineskip12pt\relax}
+\makeatletter
+
+\def\lowast{\raisebox{-.25\height}{*}}
+\begingroup
+ \catcode`* 13
+ \gdef\makestarlowast {\let*\lowast\catcode`\*\active}%
+\endgroup
+
+% modif de \do@noligs: \char`#1} --> \char`#1 }
+\def\do@noligs #1%
+{%
+ \catcode `#1\active
+ \begingroup \lccode `\~=`#1\relax
+ \lowercase {\endgroup \def ~{\leavevmode \kern \z@ \char `#1 }}%
+}%
+% Tentative, Mardi 09 septembre 2014 à 22:41:28
+\def\verb
+% on pourrait mettre le #1 ici et économiser \@@jfverb
+{%
+ \relax\leavevmode\null
+ \begingroup\MicroFont
+ \let\do\do@noligs \verbatim@nolig@list % voir plus tard si vraiment
+ % nécessaire maintenant
+ \let\do\@makeother \dospecials
+ \makestarlowast
+ \@vobeyspaces \fboxsep0pt
+ \@@jfverb
+}%
+
+\def\@@jfverb #1{\catcode`#1 3 \@@@jfverb }
+
+\def\@@@jfverb #1{\ifcat\noexpand#1$% $
+ \endgroup\else
+ \penalty\z@
+ \colorbox{jfverbcolor}{\strut #1}%
+ \expandafter\@@@jfverb\fi }
+
+\makeatother
+\catcode`\_=11
+
+\def\csa_aux #1{\ttfamily\hyphenchar\font45 \char`\\%
+ \scantokens{#1}\endgroup }
+
+\DeclareRobustCommand\csa {\begingroup\catcode`\_=11
+ \everyeof{\noexpand}\endlinechar -1
+ \makeatother
+ \makestarlowast
+ \csa_aux }
+\newcommand\csh[1]{\texorpdfstring{\csa{#1}}{\textbackslash #1}}
+\catcode`\_=8
+
+\usepackage{xspace}
+
+\def\bnename
+ {\texorpdfstring
+ {\hyperref[sec:bnumexpr]%
+ {{\color{joli}\bfseries\ttfamily\hyphenchar\font45 bnumexpr}}}
+ {bnumexpr}%
+ \xspace }%
+\def\bnenameimp
+ {\texorpdfstring
+ {\hyperref[sec:bnumexprimp]%
+ {{\color[named]{RoyalPurple}%
+ \bfseries\ttfamily\hyphenchar\font45 bnumexpr}}}
+ {bnumexpr}%
+ \xspace }%
+
+
+\frenchspacing
+% possible options: custom, bigintcalc, nocsv, notacitmul, allowpower
+\usepackage[allowpower]{bnumexpr}
+
+\usepackage{etoc}
+
+\begin{document}
+\thispagestyle{empty}
+\ttzfamily
+\pdfbookmark[1]{Title page}{TOP}
+
+{%
+\normalfont\Large\parindent0pt \parfillskip 0pt\relax
+ \leftskip 2cm plus 1fil \rightskip 2cm plus 1fil
+ The \bnename package\par
+}
+
+{\centering
+ \textsc{Jean-François Burnol}\par
+ \footnotesize
+ jfbu (at) free (dot) fr\par
+ Package version: \bneversion\ (\bnepackdate);
+ documentation date: \bnedocdate.\par
+ {From source file \texttt{bnumexpr.dtx}. \bnedtxtimestamp.}\par
+}
+
+\etocsetnexttocdepth{section}
+\tableofcontents
+
+\section{Introduction}
+\label{sec:bnumexpr}
+
+Package \bnename provides |\bnumexpr...\relax| which is analogous to
+|\numexpr...\relax|, while allowing arbitrarily big
+integers. Important items:
+\begin{enumerate}
+\item the |\relax| token ending the expression is mandatory,
+\item one must use either |\thebnumexpr| or |\bnethe\bnumexpr| to get a
+ printable result, as |\bnumexpr...\relax| expands to a private format;
+ however one may embed directly one |\bnumexpr...\relax| in another
+ |\bnumexpr...\relax|,
+\item one may do |\edef\tmp{\bnumexpr 1+2\relax}|, and then either use |\tmp| in
+ another |\bnumexpr...\relax|, or print it via |\bnethe\tmp|. The computation
+ is done at the time of the |\edef| (and two expansion steps suffice),
+\item tacit multiplication applies in front of parenthesized sub-expressions, or
+ sub |\bnumexpr...\relax| (or |\numexpr...\relax|), or in front of a |\count|
+ or |\dimen| register. This may be de-activated by option |notacitmul|,
+\item expressions may be comma separated. On input, spaces are ignored,
+ naturally, and on output the values are comma separated with a space after
+ each comma. This functionality may be turned off via option |nocsv|,
+\item even with options |notacitmul| and |nocsv| the syntax is more flexible
+ than with |\numexpr|: things such as
+ |\bnumexpr -(1+1)\relax| are legal.
+\end{enumerate}
+
+The parser |\bnumexpr| is a scaled-down version of parser |\xintiiexpr| from
+package \href{http://www.ctan.org/pkg/xint}{xintexpr}: support for boolean
+operators, functions such as |abs|, |max|, |lcm|, the |!| as factorial,
+handling of hexadecimal numbers, etc\dots has
+been removed. The goal here is to extend |\numexpr| only to the extent of
+accepting big integers. Thus by default, the syntax allows |+,-,*,/|,
+parentheses, and also |\count| or |\dimen| registers or variables. Option
+|allowpower| enables |^| as power operator.
+
+Of course, one
+needs some underlying big integer engine to provide the macros doing the
+actual computations. By default, \bnename uses package |xint| and its
+|\xintiiAdd|, |\xintiiSub|, and |\xintiiMul| macros (also |\xintiiPow| if
+option |allowpower| is made use of). As we want here |/| to do
+rounded division while |xint|'s |\xintiiQuo| does Euclidean division,
+\bnename contains a few extra code lines on top of the underlying
+division macros from |xint.sty|.
+
+See the discussion of options |bigintcalc| and |custom| in
+\autoref{sec:options} for alternatives.
+
+The starting point for the |\bnumexpr| parser was not the |\xintiiexpr| version
+|1.09n| as available (at the time of writing) on CTAN, but a development
+version for future release |1.1|. This is why the version number of package
+|bnumexpr| is |1.1|.
+It may well be that the code of the parser is in some places quite sub-optimal
+from the fact that it was derived from code handling much more stuff.
+
+The |\xintNewExpr| construct has been left out.
+
+I recall from documentation of |xintexpr| that there is a potential impact on
+the memory of \TeX{} (the hash table) because each arithmetic operation is
+done inside a dummy |\csname...\endcsname| used as single token to move
+around in one-go the possibly hundreds of digits composing a number.
+
+\section{Options}\label{sec:options}
+
+Option |bigintcalc| says to map the infix operators to the macros from
+package \href{http://www.ctan.org/pkg/bigintcalc}{bigintcalc} by \textsc{Heiko
+ Oberdiek}. Note though that |/| is mapped to |\bigintcalcDiv| which does
+\emph{truncated} (not rounded) division.
+
+Option |custom| leaves it up to the user to specify the macros to be used,
+i.e. provide definitions for |\bnumexprAdd|, |\bnumexprSub|, |\bnumexprMul|,
+|\bnumexprDiv| (and possibly |\bnumexprPow|). Without it, the package does by
+default:
+\begin{verbatim}
+\RequirePackage{xint}
+\let\bnumexprAdd\xintiiAdd
+\let\bnumexprSub\xintiiSub
+\let\bnumexprMul\xintiiMul
+%% \bnumexprDiv has custom definition on top of macros from xint.sty
+\let\bnumexprPow\xintiiPow % only if option allowpower
+\end{verbatim}
+To let |/| do euclidean division (like currently in |\xintiiexpr|) it is
+thus sufficient to do |\let\bnumexprDiv\xintiiQuo| after loading the package.
+
+If using option |custom|: the four arithmetic macros |\bnumexprAdd|,
+|\bnumexprSub|, |\bnumexprMul|, |\bnumexprDiv| (and possibly |\bnumexprPow|)
+must be expandable, and they must allow arguments in need to be first (`f'-)
+expanded. They should produce on output (big) integers with no leading zeros, at
+most one minus sign and no plus sign (else the \bnename macro used for
+handling the |-| prefix operator may need to be modified). They will be
+expanded inside |\csname...\endcsname|. The macros from |xint.sty| (as well as
+those of |bigintcalc.sty|) are expandable in a stronger sense (only two
+expansion steps suffice). Perhaps speed gains are achievable from dropping
+these stronger requirements.
+
+
+Option |nocsv| makes comma separated expressions illegal.
+
+Option |notacitmul| removes the possibility of tacit multiplication in front of
+parentheses, \string\count\space registers, sub-expressions.
+
+Option |allowpower| enables the |^| as power operator (left associative).
+
+\section{Examples}
+
+\centeredline{|\thebnumexpr 128637867168*2187917891279\relax|}
+\thebnumexpr 128637867168*2187917891279\relax
+
+\noindent\centeredline{|\thebnumexpr 30*(21-43*(512-67*(6133-812*2897)))\relax|}
+\thebnumexpr 30*(21-43*(512-67*(6133-812*2897)))\relax
+
+\noindent\centeredline{|\newcount\cnta \cnta 123|}
+\centeredline{|\the\numexpr \cnta*\cnta*\cnta\relax=\thebnumexpr \cnta*\cnta*\cnta\relax|}
+\newcount\cnta\cnta 123
+\the\numexpr \cnta*\cnta*\cnta\relax=\thebnumexpr \cnta*\cnta*\cnta\relax
+
+\noindent\centeredline{|\newcount\cntb \cntb 188|}
+\centeredline{|\the\numexpr \cnta*\cnta*\cnta/\cntb+\cntb*\cntb*\cntb/\cnta\relax=|}
+\centeredline{|\thebnumexpr \cnta*\cnta*\cnta/\cntb+\cntb*\cntb*\cntb/\cnta\relax|}
+\newcount\cntb \cntb 188
+\the\numexpr \cnta*\cnta*\cnta/\cntb+\cntb*\cntb*\cntb/\cnta\relax
+=\thebnumexpr \cnta*\cnta*\cnta/\cntb+\cntb*\cntb*\cntb/\cnta\relax
+\centeredline{|\the\numexpr \cnta*\cnta*(\cnta/\cntb)+\cntb*\cntb*(\cntb/\cnta)\relax=|}
+\centeredline{|\thebnumexpr \cnta*\cnta*(\cnta/\cntb)+\cntb*\cntb*(\cntb/\cnta)\relax|}
+\the\numexpr \cnta*\cnta*(\cnta/\cntb)+\cntb*\cntb*(\cntb/\cnta)\relax
+=\thebnumexpr \cnta*\cnta*(\cnta/\cntb)+\cntb*\cntb*(\cntb/\cnta)\relax
+\centeredline{|\the\numexpr 123/188*188\relax|,
+ |\the\numexpr 123/(188*188)\relax|,}
+\centeredline{|\thebnumexpr 123/188*188\relax|,
+ |\thebnumexpr 123/(188*188)\relax|.}
+\the\numexpr 123/188*188\relax,
+ \the\numexpr 123/(188*188)\relax,
+\thebnumexpr 123/188*188\relax,
+ \thebnumexpr 123/(188*188)\relax.
+
+\noindent
+\centeredline{|\edef\tmp {\bnumexpr 121873197*123-218137917*188\relax}|}
+\centeredline{|\bnethe\tmp\ (\meaning\tmp)|}
+\centeredline{|\thebnumexpr \tmp*(173197129797-\tmp)*(2179171982-\tmp)\relax|}
+\edef\tmp {\bnumexpr 121873197*123-218137917*188\relax}%
+\bnethe\tmp\ \mbox{(\meaning\tmp)}\\
+\thebnumexpr \tmp*(173197129797-\tmp)*(2179171982-\tmp)\relax
+
+\noindent
+\centeredline {|\cnta \thebnumexpr 2152966419779999/987654321\relax\space \the\cnta|}
+\cnta \thebnumexpr 2152966419779999/987654321\relax\space \the\cnta
+
+\noindent
+\centeredline {|\thebnumexpr 2179878*987654321-2152966419779999,2179879*987654321-2152966419779999\relax|}
+\thebnumexpr 2179878*987654321-2152966419779999,2179879*987654321-2152966419779999\relax\ (there was indeed rounding of the exact quotient)
+
+\medskip
+\noindent
+An example with the power operator |^| (option |allowpower|):
+\centeredline {|\thebnumexpr (1^10+2^10+3^10+4^10+5^10+6^10)^3\relax|}
+\thebnumexpr (1^10+2^10+3^10+4^10+5^10+6^10)^3\relax
+
+
+\StopEventually{\end{document}\endinput}
+
+\newgeometry{hscale=0.75}
+
+\MakePercentIgnore
+%
+% \catcode`\<=0 \catcode`\>=11 \catcode`\*=11 \catcode`\/=11
+% \let</dtx>\relax
+% \def<*package>{\catcode`\<=12 \catcode`\>=12 \catcode`\*=12 \catcode`\/=12 }
+%</dtx>
+%<*package>
+%
+% \section{Package \bnenameimp implementation}
+%
+% \localtableofcontents \bigskip
+%
+% Comments are sparse. Error handling by the parser is kept to a minimum; if
+% something goes wrong, the offensive token gets discarded, and some undefined
+% control sequence attempts to trigger writing to the log of some sort of
+% informative message. It is recommended to set |\errorcontextlines| to at
+% least |2| for more meaningful context.
+% \label{sec:bnumexprimp}
+% \subsection{Package identification and catcode setup}
+% \begin{macrocode}
+\NeedsTeXFormat{LaTeX2e}%
+\ProvidesPackage{bnumexpr}[2014/09/21 v1.1 Expressions with big integers (jfB)]%
+\edef\BNErestorecatcodes {\catcode`\noexpand\!\the\catcode`\!
+ \catcode`\noexpand\?\the\catcode`\?
+ \catcode`\noexpand\_\the\catcode`\_
+ \catcode`\noexpand\:\the\catcode`\:\relax }%
+\catcode`\! 11
+\catcode`\? 11
+\catcode`\_ 11
+\catcode`\: 11
+% \end{macrocode}
+% \subsection{Package options}
+% \begin{macrocode}
+\def\BNE_tmpa {0}%
+\DeclareOption {custom}{\def\BNE_tmpa {1}%
+ \PackageWarningNoLine{bnumexpr}{^^J
+ Option custom: package xint not loaded. Definitions are needed for:^^J
+ \protect\bnumexprAdd, \protect\bnumexprSub,
+ \protect\bnumexprMul\space and \protect\bnumexprDiv }%
+}%
+\DeclareOption {bigintcalc}{\def\BNE_tmpa {2}%
+ \PackageWarningNoLine{bnumexpr}{^^J
+ Option bigintcalc: the macros from package bigintcalc are used.^^J
+ Notice that / is mapped to \protect\bigintcalcDiv\space which does truncated division}%
+}%
+\DeclareOption {nocsv}{%
+ \PackageInfo{bnumexpr}{Comma separated expressions disabled}%
+ \AtEndOfPackage{\expandafter\let\csname BNE_precedence_,\endcsname
+ \undefined }%
+}%
+\DeclareOption {notacitmul}{%
+ \PackageInfo{bnumexpr}{Tacit multiplication disabled}%
+ \AtEndOfPackage{\BNE_notacitmultiplication}%
+}%
+\def\BNE_allowpower {0}%
+\DeclareOption {allowpower}{%
+ \PackageInfo{bnumexpr}{Power operator ^ authorized}%
+ \def\BNE_allowpower {1}%
+}%
+\ProcessOptions\relax
+% \end{macrocode}
+% \subsection{Mapping to the arithmetic routines.}
+% The |\xintiiQuo| macro from |xint.sty| does Euclidean division. Rounded
+% division is available from |xintfrac.sty|, rather than loading it, we define
+% directly here |\bnumexprDiv| as a suitable wrapper to the |xint.sty| division
+% macros, to achieve, not really economically, rounded division.
+%
+% Current CTAN version of |xint| (1.09n) has some sub-optimal code for dealing
+% with the signs of the divisor and dividend, this has been improved in
+% development version 1.1, not yet released at time of writing.
+%
+% In case option |bigintcalc| is used, notice that |/| is mapped to the macro
+% |\bigintcalcDiv| which does truncated division. We did not add the extra code
+% for rounded division in that case.
+% \begin{macrocode}
+\if2\BNE_tmpa % Toggle to load bigintcalc.sty
+\RequirePackage{bigintcalc}%
+\let\bnumexprAdd\bigintcalcAdd
+\let\bnumexprSub\bigintcalcSub
+\let\bnumexprMul\bigintcalcMul
+\let\bnumexprDiv\bigintcalcDiv % NOTE: THIS DOES TRUNCATED DIVISION
+\if1\BNE_allowpower\let\bnumexprPow\bigintcalcPow\fi
+\fi
+\if0\BNE_tmpa % Toggle to load xint.sty (and also xinttools.sty)
+\RequirePackage{xint}%
+\let\bnumexprAdd\xintiiAdd
+\let\bnumexprSub\xintiiSub
+\let\bnumexprMul\xintiiMul
+\if1\BNE_allowpower\let\bnumexprPow\xintiiPow\fi
+\def\bnumexprDiv {\romannumeral0\bnumexprdiv }%
+\def\bnumexprdiv #1{\expandafter\BNE_div \romannumeral-`0#1\Z }%
+\def\BNE_div #1#2\Z #3{\expandafter\BNE_div_a\expandafter #1%
+ \romannumeral-`0#3\Z #2\Z }%
+\def\BNE_div_a #1#2% #1 de A, #2 de B.
+{%
+ \if0#2\xint_dothis\BNE_div_divbyzero\fi
+ \if0#1\xint_dothis\BNE_div_aiszero\fi
+ \if-#2\xint_dothis{\BNE_div_bneg #1}\fi
+ \xint_orthat{\BNE_div_bpos #1#2}%
+}%
+\def\BNE_div_divbyzero #1\Z #2\Z {\BNE:DivisionByZero\space 0}%
+\def\BNE_div_aiszero #1\Z #2\Z { 0}%
+\def\BNE_div_bpos #1%
+{%
+ \xint_UDsignfork
+ #1{\xintiiopp\BNE_div_pos {}}%
+ -{\BNE_div_pos #1}%
+ \krof
+}%
+\def\BNE_div_bneg #1%
+{%
+ \xint_UDsignfork
+ #1{\BNE_div_pos {}}%
+ -{\xintiiopp\BNE_div_pos #1}%
+ \krof
+}%
+\def\BNE_div_pos #1#2\Z #3\Z{\expandafter\BNE_div_pos_a
+ \romannumeral0\XINT_div_prepare {#2}{#1#30}}%
+\def\BNE_div_pos_a #1#2{\xintReverseOrder {#1\BNE_div_pos_b}\Z }%
+\def\BNE_div_pos_b #1#2{\xint_gob_til_Z #2\BNE_div_pos_small\Z
+ \BNE_div_pos_c #1#2}%
+\def\BNE_div_pos_c #1#2\Z {\ifnum #1>\xint_c_iv
+ \expandafter\BNE_div_pos_up
+ \else \expandafter\xintreverseorder
+ \fi {#2}}%
+\def\BNE_div_pos_up #1{\xintinc {\xintReverseOrder{#1}}}%
+\def\BNE_div_pos_small\Z\BNE_div_pos_c #1#2{\ifnum #1>\xint_c_iv\expandafter
+ \xint_secondoftwo\else\expandafter
+ \xint_firstoftwo\fi { 0}{ 1}}%
+\fi
+% \end{macrocode}
+% \subsection{Some helper macros and constants from xint}
+% These macros from xint should not change, hence overwriting them here should
+% not be cause for alarm. I opted against renaming everything with |\BNE_|
+% prefix rather than |\xint_|. The |\xint_dothis|/|\xint_orthat| thing is a new
+% style I have adopted for expandably forking. The least probable branches
+% should be specified first, for better efficiency. See examples of uses in the
+% present code.
+% \begin{macrocode}
+\chardef\xint_c_ 0
+\chardef\xint_c_i 1
+\chardef\xint_c_ii 2
+% \chardef\xint_c_iii 3
+% \chardef\xint_c_iv 4
+% \chardef\xint_c_v 5
+\chardef\xint_c_vi 6
+\chardef\xint_c_vii 7
+\chardef\xint_c_viii 8
+\chardef\xint_c_ix 9
+% \chardef\xint_c_x 10
+% \chardef\xint_c_xviii 18
+\long\def\xint_gobble_i #1{}%
+\long\def\xint_gobble_iii #1#2#3{}%
+\long\def\xint_firstofone #1{#1}%
+\long\def\xint_firstoftwo #1#2{#1}%
+\long\def\xint_secondoftwo #1#2{#2}%
+\long\def\xint_firstofthree #1#2#3{#1}%
+\long\def\xint_secondofthree #1#2#3{#2}%
+\long\def\xint_thirdofthree #1#2#3{#3}%
+\def\xint_gob_til_! #1!{}% this ! has catcode 11
+\def\xint_UDsignfork #1-#2#3\krof {#2}%
+\long\def\xint_afterfi #1#2\fi {\fi #1}%
+\long\def\xint_dothis #1#2\xint_orthat #3{\fi #1}% new in v1.1
+\let\xint_orthat \xint_firstofone
+% \end{macrocode}
+% \subsection{Encapsulation of numbers in pseudo cs names}
+% We define here a |\BNE_num| to not have to invoke |\xintNum|; hence
+% dependency on |xint.sty| is kept to the actual arithmetic operations. We
+% only need to get rid of leading zeros as plus and minus signs have already
+% been stripped off; generally speaking user input will have no leading zeros
+% thus the macro is designed to go fast when it is not needed... and as
+% everything happens inside a |\csname...\endcsname|, we can leave some
+% trailing |\fi|'s.
+%
+% Note: the |1.09n| |\xintiiexpr| currently on CTAN has a
+% bug related to leading zeros, |\xinttheiiexpr 001+1\relax| does not return
+% |2|. This bug is absent from |\xintexpr|, |\xintfloatexpr|, |\xintiexpr| and
+% only present in |\xintiiexpr|.
+% \begin{macrocode}
+\edef\BNE_lock #1!{\noexpand\expandafter\space\noexpand
+ \csname .=\noexpand\BNE_num #1\endcsname }%
+\def\BNE_num #1{\if #10\expandafter\BNE_num\else
+ \ifcat #1\relax 0\expandafter\expandafter\expandafter #1\else
+ #1\fi\fi }%
+\def\BNE_unlock {\expandafter\BNE_unlock_a\string }%
+\def\BNE_unlock_a #1.={}%
+% \end{macrocode}
+% \subsection{\csh{bnumexpr}, \csh{bnethe}, \csh{thebnumexpr}, \dots}
+% In the full |\xintexpr|, the final unlocking may involve post-treatment of
+% the comma separated values, hence there are |_print| macros to handle the
+% possibly comma separated values. Here we may just identify |_print| with
+% |_unlock|.
+% \begin{macrocode}
+\def\bnumexpr {\romannumeral0\bnumeval }%
+\def\bnumeval {\expandafter\BNE_wrap\romannumeral0\BNE_eval }%
+\def\BNE_eval {\expandafter\BNE_until_end_a\romannumeral-`0\BNE_getnext }%
+\def\BNE_wrap { !\BNE_usethe\BNE_protect\BNE_unlock }%
+\protected\def\BNE_usethe\BNE_protect {\BNE:missing_bnethe!}%
+\def\BNE_protect {\noexpand\BNE_protect\noexpand }%
+\let\BNE_done\space
+\def\thebnumexpr
+ {\romannumeral-`0\expandafter\BNE_unlock\romannumeral0\BNE_eval }%
+\def\bnethe #1{\romannumeral-`0\expandafter\xint_gobble_iii\romannumeral-`0#1}%
+% \end{macrocode}
+% \subsection{\csh{BNE\_getnext}}
+% The getnext scans forward to find a number: after expansion of what comes
+% next, an opening parenthesis signals a parenthesized sub-expression, a |!|
+% with catcode 11 signals there was there a sub |\bnumexpr...\relax| (now
+% evaluated), a minus sign is treated as a prefix operator inheriting its
+% precedence level from the previous operator, a plus sign is swallowed, a
+% |\count| or |\dimen| will get fetched to |\number| (in case of a count
+% variable, this provides a full locked number but |\count0 1| for example is
+% like |1231| if |\count0|'s value is |123|); a digit triggers the
+% number scanner. After the digit scanner finishes the integer is trimmed of
+% leading zeros and locked as a single token into a |\csname .=...\endcsname|.
+% The flow then proceeds with |\BNE_getop| which looks for the next operator
+% or possibly the end of the expression. Note: |\bnumexpr\relax| is illegal.
+% \begin{macrocode}
+\def\BNE_getnext #1%
+{%
+ \expandafter\BNE_getnext_a\romannumeral-`0#1%
+}%
+\def\BNE_getnext_a #1%
+{%
+ \xint_gob_til_! #1\BNE_gn_foundexpr !% this ! has catcode 11
+ \ifcat\relax#1% \count or \numexpr etc... token or count, dimen, skip cs
+ \expandafter\BNE_gn_countetc
+ \else
+ \expandafter\expandafter\expandafter\BNE_gn_fork\expandafter\string
+ \fi
+ #1%
+}%
+\def\BNE_gn_foundexpr !#1\fi !{\expandafter\BNE_getop\xint_gobble_iii }%
+\def\BNE_gn_countetc #1%
+{%
+ \ifx\count#1\else\ifx#1\dimen\else\ifx#1\numexpr\else\ifx#1\dimexpr\else
+ \ifx\skip#1\else\ifx\glueexpr#1\else\ifx\fontdimen#1\else
+ \BNE_gn_unpackvar
+ \fi\fi\fi\fi\fi\fi\fi
+ \expandafter\BNE_getnext\number #1%
+}%
+\def\BNE_gn_unpackvar\fi\fi\fi\fi\fi\fi\fi\expandafter
+ \BNE_getnext\number #1%
+{%
+ \fi\fi\fi\fi\fi\fi\fi
+ \expandafter\BNE_getop\csname .=\number#1\endcsname
+}%
+% \end{macrocode}
+% This is quite simplified here compared to |\xintexpr|, for various reasons: we
+% have dropped the |\xintNewExpr| thing, and we can treat the |(| directly as we
+% don't have to get back to check if we are in an |\xintexpr|,
+% |\xintfloatexpr|, etc..
+% \begin{macrocode}
+\def\BNE_gn_fork #1{%
+ \if#1+\xint_dothis \BNE_getnext\fi
+ \if#1-\xint_dothis -\fi
+ \if#1(\xint_dothis \BNE_oparen \fi
+ \xint_orthat {\BNE_scan_number #1}%
+}%
+% \end{macrocode}
+% \subsection{Parsing an integer}
+% We gather a string of digits, plus and minus prefixes have already been
+% swallowed. There might be some leading string of zeros which will have to be
+% removed. In the full |\xintexpr| the situation is more involved as it has to
+% recognize and accept decimal numbers, numbers in scientific notation, also
+% hexadecimal numbers, function names, etc... and variable names in current
+% development version |1.1| (not yet finished).
+% \begin{macrocode}
+\def\BNE_scan_number #1% this #1 has necessarily here catcode 12
+{%
+ \ifnum \xint_c_ix<1#1 \expandafter \BNE_scan_nbr\else
+ \expandafter \BNE_notadigit\fi #1%
+}%
+\def\BNE_notadigit #1{\BNE:not_a_digit! \xint_gobble_i {#1}}%
+% \end{macrocode}
+% Scanning for a number. Once gathered, lock it and do |_getop|. If we hit
+% against some catcode eleven |!|, this means there was a sub |\bnumexpr..\relax|.
+% We then apply tacit multiplication.
+% \begin{macrocode}
+\def\BNE_scan_nbr
+{%
+ \expandafter\BNE_getop\romannumeral-`0\expandafter
+ \BNE_lock\romannumeral-`0\BNE_scan_nbr_c
+}%
+\def\BNE_scan_nbr_a #1%
+{% careful that ! has catcode letter here
+ \ifcat \relax #1\xint_dothis{!#1}\fi % stops the scan
+ \ifx !#1\xint_dothis{!*!}\fi % tacit multiplication before subexpr
+ \xint_orthat {\expandafter\BNE_scan_nbr_b\string #1}%
+}%
+\def\BNE_scan_nbr_b #1% #1 with catcode 12
+{%
+ \ifnum \xint_c_ix<1#1 \expandafter\BNE_scan_nbr_c
+ \else\expandafter !\fi #1%
+}%
+\def\BNE_scan_nbr_c #1#2%
+{%
+ \expandafter #1\romannumeral-`0\expandafter
+ \BNE_scan_nbr_a\romannumeral-`0#2%
+}%
+% \end{macrocode}
+% \begin{macrocode}
+% \end{macrocode}
+% \subsection{\csh{BNE\_getop}}
+% This finds the next infix operator or closing parenthesis or expression end.
+% It then leaves in the token flow <precedence> <operator> <locked number>. The
+% <precedence> stops expansion and ultimately gives back
+% control to a |\BNE_until_<op>| command. The code here is derived from more
+% involved context where the actual macro associated to the operator may vary,
+% depending if we are in |\xintexpr|, |\xintfloatexpr| or |\xintiiexpr|. Here
+% things are simpler but I have kept the general scheme, thus the actual macro
+% to be used for the <operator> is not decided immediately (development version
+% of |xintexpr.sty| has extra things to allow multi-characters operators like
+% |&&|).
+% \begin{macrocode}
+\def\BNE_getop #1#2% this #1 is the current locked computed value
+{%
+ \expandafter\BNE_getop_a\expandafter #1\romannumeral-`0#2%
+}%
+\catcode`* 11
+\def\BNE_getop_a #1#2%
+{% if a control sequence is found, must be \relax, or possibly register or
+ % variable if tacit multiplication is allowed
+ \ifx \relax #2\xint_dothis\xint_firstofthree\fi
+ % tacit multiplications:
+ \ifcat \relax #2\xint_dothis\xint_secondofthree\fi
+ \if (#2\xint_dothis \xint_secondofthree\fi
+ \ifx !#2\xint_dothis \xint_secondofthree\fi
+ \xint_orthat \xint_thirdofthree
+ {\BNE_foundend #1}%
+ {\BNE_precedence_* *#1#2}% tacit multiplication
+ {\BNE_foundop #2#1}%
+}%
+\catcode`* 12
+\def\BNE_foundend {\xint_c_ \relax }% \relax is only a place-holder here.
+\def\BNE_foundop #1%
+{%
+ \ifcsname BNE_precedence_#1\endcsname
+ \csname BNE_precedence_#1\expandafter\endcsname
+ \expandafter #1%
+ \else
+ \BNE_notanoperator {#1}\expandafter\BNE_getop
+ \fi
+}%
+\def\BNE_notanoperator #1{\BNE:not_an_operator! \xint_gobble_i {#1}}%
+% \end{macrocode}
+% \subsection{Until macros for global expression and parenthesized sub-ones}
+% The minus sign as prefix is treated here.
+% \begin{macrocode}
+\catcode`) 11
+\def\BNE_tmpa #1{% #1=\BNE_op_-vi token
+ \def\BNE_until_end_a ##1%
+ {%
+ \xint_UDsignfork
+ ##1{\expandafter\BNE_until_end_a\romannumeral-`0#1}%
+ -{\BNE_until_end_b ##1}%
+ \krof
+ }%
+}\expandafter\BNE_tmpa\csname BNE_op_-vi\endcsname
+\def\BNE_until_end_b #1#2%
+ {%
+ \ifcase #1\expandafter\BNE_done
+ \or
+ \xint_afterfi{\BNE:extra_)_?\expandafter
+ \BNE_until_end_a\romannumeral-`0\BNE_getop }%
+ \else
+ \xint_afterfi{\expandafter\BNE_until_end_a
+ \romannumeral-`0\csname BNE_op_#2\endcsname }%
+ \fi
+ }%
+\catcode`( 11
+\def\BNE_op_( {\expandafter\BNE_until_)_a\romannumeral-`0\BNE_getnext }%
+\let\BNE_oparen\BNE_op_(
+\catcode`( 12
+\def\BNE_tmpa #1{% #1=\BNE_op_-vi
+ \def\BNE_until_)_a ##1{\xint_UDsignfork
+ ##1{\expandafter \BNE_until_)_a\romannumeral-`0#1}%
+ -{\BNE_until_)_b ##1}%
+ \krof }%
+}\expandafter\BNE_tmpa\csname BNE_op_-vi\endcsname
+\def \BNE_until_)_b #1#2%
+ {%
+ \ifcase #1\expandafter \BNE_missing_)_? % missing ) ?
+ \or\expandafter \BNE_getop % found closing )
+ \else \xint_afterfi
+ {\expandafter \BNE_until_)_a\romannumeral-`0\csname BNE_op_#2\endcsname }%
+ \fi
+ }%
+\def\BNE_missing_)_? {\BNE:missing_)_inserted \xint_c_ \BNE_done }%
+\let\BNE_precedence_) \xint_c_i
+\let\BNE_op_) \BNE_getop
+\catcode`) 12
+% \end{macrocode}
+% \subsection{The arithmetic operators.}
+% This is where the infix operators are mapped to actual macros. These macros
+% must ``f-expand'' their arguments, and know how to handle then big integers
+% having no leading zeros and at most a minus sign.
+% \begin{macrocode}
+\def\BNE_tmpc #1#2#3#4#5#6#7%
+{%
+ \def #1##1% \BNE_op_<op>
+ {% keep value, get next number and operator, then do until
+ \expandafter #2\expandafter ##1\romannumeral-`0\expandafter\BNE_getnext }%
+ \def #2##1##2% \BNE_until_<op>_a
+ {\xint_UDsignfork
+ ##2{\expandafter #2\expandafter ##1\romannumeral-`0#4}%
+ -{#3##1##2}%
+ \krof }%
+ \def #3##1##2##3##4% \BNE_until_<op>_b
+ {% either execute next operation now, or first do next (possibly unary)
+ \ifnum ##2>#5%
+ \xint_afterfi {\expandafter #2\expandafter ##1\romannumeral-`0%
+ \csname BNE_op_##3\endcsname {##4}}%
+ \else \xint_afterfi {\expandafter ##2\expandafter ##3%
+ \csname .=#6{\BNE_unlock ##1}{\BNE_unlock ##4}\endcsname }%
+ \fi }%
+ \let #7#5%
+}%
+\def\BNE_tmpb #1#2#3%
+{%
+ \expandafter\BNE_tmpc
+ \csname BNE_op_#1\expandafter\endcsname
+ \csname BNE_until_#1_a\expandafter\endcsname
+ \csname BNE_until_#1_b\expandafter\endcsname
+ \csname BNE_op_-#2\expandafter\endcsname
+ \csname xint_c_#2\expandafter\endcsname
+ \csname #3\expandafter\endcsname
+ \csname BNE_precedence_#1\endcsname
+}%
+\BNE_tmpb +{vi}{bnumexprAdd}%
+\BNE_tmpb -{vi}{bnumexprSub}%
+\BNE_tmpb *{vii}{bnumexprMul}%
+\BNE_tmpb /{vii}{bnumexprDiv}%
+\if1\BNE_allowpower\BNE_tmpb ^{viii}{bnumexprPow}\fi
+% \end{macrocode}
+% \subsection{The minus as prefix operator of variable precedence level}
+% We only need here two levels of precedence, |vi| and |vii|. If the power |^|
+% operation is authorized, then one further level |viii| is needed.
+% \begin{macrocode}
+\def\BNE_tmpa #1% #1=vi or vii
+{%
+\expandafter\BNE_tmpb
+ \csname BNE_op_-#1\expandafter\endcsname
+ \csname BNE_until_-#1_a\expandafter\endcsname
+ \csname BNE_until_-#1_b\expandafter\endcsname
+ \csname xint_c_#1\endcsname
+}%
+\def\BNE_tmpb #1#2#3#4%
+{%
+ \def #1% \BNE_op_-<level>
+ {% get next number+operator then switch to _until macro
+ \expandafter #2\romannumeral-`0\BNE_getnext
+ }%
+ \def #2##1% \BNE_until_-<level>_a
+ {\xint_UDsignfork
+ ##1{\expandafter #2\romannumeral-`0#1}%
+ -{#3##1}%
+ \krof }%
+ \def #3##1##2##3% \BNE_until_-<level>_b
+ {%
+ \ifnum ##1>#4%
+ \xint_afterfi {\expandafter #2\romannumeral-`0%
+ \csname BNE_op_##2\endcsname {##3}}%
+ \else
+ \xint_afterfi {\expandafter ##1\expandafter ##2%
+ \csname .=\expandafter\BNE_Opp
+ \romannumeral-`0\BNE_unlock ##3\endcsname }%
+ \fi
+ }%
+}%
+\BNE_tmpa {vi}%
+\BNE_tmpa {vii}%
+\if1\BNE_allowpower\BNE_tmpa {viii}\fi
+\def\BNE_Opp #1{\if-#1\else\if0#10\else-#1\fi\fi }%
+% \end{macrocode}
+% \subsection{The comma may separate expressions.}
+% It suffices to treat the comma as a binary operator of precedence |ii|. We
+% insert a space after the comma. The current code in |\xintexpr| does not do
+% it at this stage, but only later during the final unlocking, as there is
+% anyhow need for some processing for final formatting and was considered to
+% be as well the opportunity to insert the space. Here, let's do it
+% immediately. These spaces are not an issue when |\bnumexpr| is
+% identified as a sub-expression in |\xintexpr|, for example in:
+% |\xinttheiiexpr lcm(\bnumexpr 175-12,123+34,56*31\relax)\relax| (this
+% example requires package |xintgcd|).
+% \begin{macrocode}
+\catcode`, 11
+\def\BNE_op_, #1%
+{%
+ \expandafter \BNE_until_,_a\expandafter #1\romannumeral-`0\BNE_getnext
+}%
+\def\BNE_tmpa #1{% #1 = \BNE_op_-vi
+ \def\BNE_until_,_a ##1##2%
+ {%
+ \xint_UDsignfork
+ ##2{\expandafter \BNE_until_,_a\expandafter ##1\romannumeral-`0#1}%
+ -{\BNE_until_,_b ##1##2}%
+ \krof }%
+}\expandafter\BNE_tmpa\csname BNE_op_-vi\endcsname
+\def\BNE_until_,_b #1#2#3#4%
+{%
+ \ifnum #2>\xint_c_ii
+ \xint_afterfi {\expandafter \BNE_until_,_a
+ \expandafter #1\romannumeral-`0%
+ \csname BNE_op_#3\endcsname {#4}}%
+ \else
+ \xint_afterfi {\expandafter #2\expandafter #3%
+ \csname .=\BNE_unlock #1, \BNE_unlock #4\endcsname }%
+ \fi
+}%
+\let \BNE_precedence_, \xint_c_ii
+\catcode`, 12
+% \end{macrocode}
+% \subsection{Disabling tacit multiplication}
+% \begin{macrocode}
+\def\BNE_notacitmultiplication{%
+ \def\BNE_getop_a ##1##2{%
+ \ifx \relax ##2\expandafter\xint_firstoftwo\else
+ \expandafter\xint_secondoftwo\fi
+ {\BNE_foundend ##1}%
+ {\BNE_foundop ##2##1}%
+ }%
+ \def\BNE_scan_nbr_a ##1{%
+ \ifcat \relax ##1\expandafter\xint_firstoftwo\else
+ \expandafter\xint_secondoftwo\fi
+ {!##1}{\expandafter\BNE_scan_nbr_b\string ##1}%
+ }%
+}%
+% \end{macrocode}
+% \subsection{Cleanup}
+% \begin{macrocode}
+\let\BNE_tmpa\relax \let\BNE_tmpb\relax \let\BNE_tmpc\relax \let\BNE_allowpower\relax
+\BNErestorecatcodes
+% \end{macrocode}
+% \DeleteShortVerb{\|}
+% \MakePercentComment
+%</package>
+%<*dtx>
+\CharacterTable
+ {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
+ Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
+ Digits \0\1\2\3\4\5\6\7\8\9
+ Exclamation \! Double quote \" Hash (number) \#
+ Dollar \$ Percent \% Ampersand \&
+ Acute accent \' Left paren \( Right paren \)
+ Asterisk \* Plus \+ Comma \,
+ Minus \- Point \. Solidus \/
+ Colon \: Semicolon \; Less than \<
+ Equals \= Greater than \> Question mark \?
+ Commercial at \@ Left bracket \[ Backslash \\
+ Right bracket \] Circumflex \^ Underscore \_
+ Grave accent \` Left brace \{ Vertical bar \|
+ Right brace \} Tilde \~}
+\CheckSum {885}
+\makeatletter\check@checksum\makeatother
+\Finale
+%% End of file xint.dtx
diff --git a/Master/texmf-dist/source/latex/bnumexpr/bnumexpr.ins b/Master/texmf-dist/source/latex/bnumexpr/bnumexpr.ins
new file mode 100644
index 00000000000..d6391452197
--- /dev/null
+++ b/Master/texmf-dist/source/latex/bnumexpr/bnumexpr.ins
@@ -0,0 +1,36 @@
+%%----------------------------------------------------------------
+%% The bnumexpr package: Expressions with big integers
+%% Copyright (C) 2014 by Jean-Francois Burnol
+%%----------------------------------------------------------------
+%% This is a generated file.
+%%
+%% tex bnumexpr.ins will extract bnumexpr.sty and bnumexpr.tex
+%% from source file bnumexpr.dtx
+%%
+%% See bnumexpr.dtx for the copyright and license statements.
+%%
+\input docstrip.tex
+\askforoverwritefalse
+\generate{\nopreamble
+\file{bnumexpr.tex}{\from{bnumexpr.dtx}{drv}}
+\usepreamble\defaultpreamble
+\file{bnumexpr.sty}{\from{bnumexpr.dtx}{package}}}
+\catcode32=13\relax% active space
+\let =\space%
+\Msg{************************************************************************}
+\Msg{*}
+\Msg{* To finish the installation you have to move the following}
+\Msg{* files into a directory searched by TeX:}
+\Msg{*}
+\Msg{* bnumexpr.sty}
+\Msg{*}
+\Msg{* To produce the documentation run latex thrice on bnumexpr.tex}
+\Msg{* then dvipdfmx on bnumexpr.dvi. (ignore the dvipdfmx warnings)}
+\Msg{*}
+\Msg{* Happy TeXing!}
+\Msg{*}
+\Msg{************************************************************************}
+\endbatchfile
+\endinput
+%%
+%% End of file `bnumexpr.ins'.
diff --git a/Master/texmf-dist/tex/latex/bnumexpr/bnumexpr.sty b/Master/texmf-dist/tex/latex/bnumexpr/bnumexpr.sty
new file mode 100644
index 00000000000..748e392c117
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/bnumexpr/bnumexpr.sty
@@ -0,0 +1,405 @@
+%%
+%% This is file `bnumexpr.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% bnumexpr.dtx (with options: `package')
+%%
+%% IMPORTANT NOTICE:
+%%
+%% For the copyright see the source file.
+%%
+%% Any modified versions of this file must be renamed
+%% with new filenames distinct from bnumexpr.sty.
+%%
+%% For distribution of the original source see the terms
+%% for copying and modification in the file bnumexpr.dtx.
+%%
+%% This generated file may be distributed as long as the
+%% original source files, as listed above, are part of the
+%% same distribution. (The sources need not necessarily be
+%% in the same archive or directory.)
+%%----------------------------------------------------------------
+%% The bnumexpr package: Expressions with big integers
+%% Copyright (C) 2014 by Jean-Francois Burnol
+%%----------------------------------------------------------------
+\NeedsTeXFormat{LaTeX2e}%
+\ProvidesPackage{bnumexpr}[2014/09/21 v1.1 Expressions with big integers (jfB)]%
+\edef\BNErestorecatcodes {\catcode`\noexpand\!\the\catcode`\!
+ \catcode`\noexpand\?\the\catcode`\?
+ \catcode`\noexpand\_\the\catcode`\_
+ \catcode`\noexpand\:\the\catcode`\:\relax }%
+\catcode`\! 11
+\catcode`\? 11
+\catcode`\_ 11
+\catcode`\: 11
+\def\BNE_tmpa {0}%
+\DeclareOption {custom}{\def\BNE_tmpa {1}%
+ \PackageWarningNoLine{bnumexpr}{^^J
+ Option custom: package xint not loaded. Definitions are needed for:^^J
+ \protect\bnumexprAdd, \protect\bnumexprSub,
+ \protect\bnumexprMul\space and \protect\bnumexprDiv }%
+}%
+\DeclareOption {bigintcalc}{\def\BNE_tmpa {2}%
+ \PackageWarningNoLine{bnumexpr}{^^J
+ Option bigintcalc: the macros from package bigintcalc are used.^^J
+ Notice that / is mapped to \protect\bigintcalcDiv\space which does truncated division}%
+}%
+\DeclareOption {nocsv}{%
+ \PackageInfo{bnumexpr}{Comma separated expressions disabled}%
+ \AtEndOfPackage{\expandafter\let\csname BNE_precedence_,\endcsname
+ \undefined }%
+}%
+\DeclareOption {notacitmul}{%
+ \PackageInfo{bnumexpr}{Tacit multiplication disabled}%
+ \AtEndOfPackage{\BNE_notacitmultiplication}%
+}%
+\def\BNE_allowpower {0}%
+\DeclareOption {allowpower}{%
+ \PackageInfo{bnumexpr}{Power operator ^ authorized}%
+ \def\BNE_allowpower {1}%
+}%
+\ProcessOptions\relax
+\if2\BNE_tmpa % Toggle to load bigintcalc.sty
+\RequirePackage{bigintcalc}%
+\let\bnumexprAdd\bigintcalcAdd
+\let\bnumexprSub\bigintcalcSub
+\let\bnumexprMul\bigintcalcMul
+\let\bnumexprDiv\bigintcalcDiv % NOTE: THIS DOES TRUNCATED DIVISION
+\if1\BNE_allowpower\let\bnumexprPow\bigintcalcPow\fi
+\fi
+\if0\BNE_tmpa % Toggle to load xint.sty (and also xinttools.sty)
+\RequirePackage{xint}%
+\let\bnumexprAdd\xintiiAdd
+\let\bnumexprSub\xintiiSub
+\let\bnumexprMul\xintiiMul
+\if1\BNE_allowpower\let\bnumexprPow\xintiiPow\fi
+\def\bnumexprDiv {\romannumeral0\bnumexprdiv }%
+\def\bnumexprdiv #1{\expandafter\BNE_div \romannumeral-`0#1\Z }%
+\def\BNE_div #1#2\Z #3{\expandafter\BNE_div_a\expandafter #1%
+ \romannumeral-`0#3\Z #2\Z }%
+\def\BNE_div_a #1#2% #1 de A, #2 de B.
+{%
+ \if0#2\xint_dothis\BNE_div_divbyzero\fi
+ \if0#1\xint_dothis\BNE_div_aiszero\fi
+ \if-#2\xint_dothis{\BNE_div_bneg #1}\fi
+ \xint_orthat{\BNE_div_bpos #1#2}%
+}%
+\def\BNE_div_divbyzero #1\Z #2\Z {\BNE:DivisionByZero\space 0}%
+\def\BNE_div_aiszero #1\Z #2\Z { 0}%
+\def\BNE_div_bpos #1%
+{%
+ \xint_UDsignfork
+ #1{\xintiiopp\BNE_div_pos {}}%
+ -{\BNE_div_pos #1}%
+ \krof
+}%
+\def\BNE_div_bneg #1%
+{%
+ \xint_UDsignfork
+ #1{\BNE_div_pos {}}%
+ -{\xintiiopp\BNE_div_pos #1}%
+ \krof
+}%
+\def\BNE_div_pos #1#2\Z #3\Z{\expandafter\BNE_div_pos_a
+ \romannumeral0\XINT_div_prepare {#2}{#1#30}}%
+\def\BNE_div_pos_a #1#2{\xintReverseOrder {#1\BNE_div_pos_b}\Z }%
+\def\BNE_div_pos_b #1#2{\xint_gob_til_Z #2\BNE_div_pos_small\Z
+ \BNE_div_pos_c #1#2}%
+\def\BNE_div_pos_c #1#2\Z {\ifnum #1>\xint_c_iv
+ \expandafter\BNE_div_pos_up
+ \else \expandafter\xintreverseorder
+ \fi {#2}}%
+\def\BNE_div_pos_up #1{\xintinc {\xintReverseOrder{#1}}}%
+\def\BNE_div_pos_small\Z\BNE_div_pos_c #1#2{\ifnum #1>\xint_c_iv\expandafter
+ \xint_secondoftwo\else\expandafter
+ \xint_firstoftwo\fi { 0}{ 1}}%
+\fi
+\chardef\xint_c_ 0
+\chardef\xint_c_i 1
+\chardef\xint_c_ii 2
+\chardef\xint_c_vi 6
+\chardef\xint_c_vii 7
+\chardef\xint_c_viii 8
+\chardef\xint_c_ix 9
+\long\def\xint_gobble_i #1{}%
+\long\def\xint_gobble_iii #1#2#3{}%
+\long\def\xint_firstofone #1{#1}%
+\long\def\xint_firstoftwo #1#2{#1}%
+\long\def\xint_secondoftwo #1#2{#2}%
+\long\def\xint_firstofthree #1#2#3{#1}%
+\long\def\xint_secondofthree #1#2#3{#2}%
+\long\def\xint_thirdofthree #1#2#3{#3}%
+\def\xint_gob_til_! #1!{}% this ! has catcode 11
+\def\xint_UDsignfork #1-#2#3\krof {#2}%
+\long\def\xint_afterfi #1#2\fi {\fi #1}%
+\long\def\xint_dothis #1#2\xint_orthat #3{\fi #1}% new in v1.1
+\let\xint_orthat \xint_firstofone
+\edef\BNE_lock #1!{\noexpand\expandafter\space\noexpand
+ \csname .=\noexpand\BNE_num #1\endcsname }%
+\def\BNE_num #1{\if #10\expandafter\BNE_num\else
+ \ifcat #1\relax 0\expandafter\expandafter\expandafter #1\else
+ #1\fi\fi }%
+\def\BNE_unlock {\expandafter\BNE_unlock_a\string }%
+\def\BNE_unlock_a #1.={}%
+\def\bnumexpr {\romannumeral0\bnumeval }%
+\def\bnumeval {\expandafter\BNE_wrap\romannumeral0\BNE_eval }%
+\def\BNE_eval {\expandafter\BNE_until_end_a\romannumeral-`0\BNE_getnext }%
+\def\BNE_wrap { !\BNE_usethe\BNE_protect\BNE_unlock }%
+\protected\def\BNE_usethe\BNE_protect {\BNE:missing_bnethe!}%
+\def\BNE_protect {\noexpand\BNE_protect\noexpand }%
+\let\BNE_done\space
+\def\thebnumexpr
+ {\romannumeral-`0\expandafter\BNE_unlock\romannumeral0\BNE_eval }%
+\def\bnethe #1{\romannumeral-`0\expandafter\xint_gobble_iii\romannumeral-`0#1}%
+\def\BNE_getnext #1%
+{%
+ \expandafter\BNE_getnext_a\romannumeral-`0#1%
+}%
+\def\BNE_getnext_a #1%
+{%
+ \xint_gob_til_! #1\BNE_gn_foundexpr !% this ! has catcode 11
+ \ifcat\relax#1% \count or \numexpr etc... token or count, dimen, skip cs
+ \expandafter\BNE_gn_countetc
+ \else
+ \expandafter\expandafter\expandafter\BNE_gn_fork\expandafter\string
+ \fi
+ #1%
+}%
+\def\BNE_gn_foundexpr !#1\fi !{\expandafter\BNE_getop\xint_gobble_iii }%
+\def\BNE_gn_countetc #1%
+{%
+ \ifx\count#1\else\ifx#1\dimen\else\ifx#1\numexpr\else\ifx#1\dimexpr\else
+ \ifx\skip#1\else\ifx\glueexpr#1\else\ifx\fontdimen#1\else
+ \BNE_gn_unpackvar
+ \fi\fi\fi\fi\fi\fi\fi
+ \expandafter\BNE_getnext\number #1%
+}%
+\def\BNE_gn_unpackvar\fi\fi\fi\fi\fi\fi\fi\expandafter
+ \BNE_getnext\number #1%
+{%
+ \fi\fi\fi\fi\fi\fi\fi
+ \expandafter\BNE_getop\csname .=\number#1\endcsname
+}%
+\def\BNE_gn_fork #1{%
+ \if#1+\xint_dothis \BNE_getnext\fi
+ \if#1-\xint_dothis -\fi
+ \if#1(\xint_dothis \BNE_oparen \fi
+ \xint_orthat {\BNE_scan_number #1}%
+}%
+\def\BNE_scan_number #1% this #1 has necessarily here catcode 12
+{%
+ \ifnum \xint_c_ix<1#1 \expandafter \BNE_scan_nbr\else
+ \expandafter \BNE_notadigit\fi #1%
+}%
+\def\BNE_notadigit #1{\BNE:not_a_digit! \xint_gobble_i {#1}}%
+\def\BNE_scan_nbr
+{%
+ \expandafter\BNE_getop\romannumeral-`0\expandafter
+ \BNE_lock\romannumeral-`0\BNE_scan_nbr_c
+}%
+\def\BNE_scan_nbr_a #1%
+{% careful that ! has catcode letter here
+ \ifcat \relax #1\xint_dothis{!#1}\fi % stops the scan
+ \ifx !#1\xint_dothis{!*!}\fi % tacit multiplication before subexpr
+ \xint_orthat {\expandafter\BNE_scan_nbr_b\string #1}%
+}%
+\def\BNE_scan_nbr_b #1% #1 with catcode 12
+{%
+ \ifnum \xint_c_ix<1#1 \expandafter\BNE_scan_nbr_c
+ \else\expandafter !\fi #1%
+}%
+\def\BNE_scan_nbr_c #1#2%
+{%
+ \expandafter #1\romannumeral-`0\expandafter
+ \BNE_scan_nbr_a\romannumeral-`0#2%
+}%
+\def\BNE_getop #1#2% this #1 is the current locked computed value
+{%
+ \expandafter\BNE_getop_a\expandafter #1\romannumeral-`0#2%
+}%
+\catcode`* 11
+\def\BNE_getop_a #1#2%
+{% if a control sequence is found, must be \relax, or possibly register or
+ % variable if tacit multiplication is allowed
+ \ifx \relax #2\xint_dothis\xint_firstofthree\fi
+ % tacit multiplications:
+ \ifcat \relax #2\xint_dothis\xint_secondofthree\fi
+ \if (#2\xint_dothis \xint_secondofthree\fi
+ \ifx !#2\xint_dothis \xint_secondofthree\fi
+ \xint_orthat \xint_thirdofthree
+ {\BNE_foundend #1}%
+ {\BNE_precedence_* *#1#2}% tacit multiplication
+ {\BNE_foundop #2#1}%
+}%
+\catcode`* 12
+\def\BNE_foundend {\xint_c_ \relax }% \relax is only a place-holder here.
+\def\BNE_foundop #1%
+{%
+ \ifcsname BNE_precedence_#1\endcsname
+ \csname BNE_precedence_#1\expandafter\endcsname
+ \expandafter #1%
+ \else
+ \BNE_notanoperator {#1}\expandafter\BNE_getop
+ \fi
+}%
+\def\BNE_notanoperator #1{\BNE:not_an_operator! \xint_gobble_i {#1}}%
+\catcode`) 11
+\def\BNE_tmpa #1{% #1=\BNE_op_-vi token
+ \def\BNE_until_end_a ##1%
+ {%
+ \xint_UDsignfork
+ ##1{\expandafter\BNE_until_end_a\romannumeral-`0#1}%
+ -{\BNE_until_end_b ##1}%
+ \krof
+ }%
+}\expandafter\BNE_tmpa\csname BNE_op_-vi\endcsname
+\def\BNE_until_end_b #1#2%
+ {%
+ \ifcase #1\expandafter\BNE_done
+ \or
+ \xint_afterfi{\BNE:extra_)_?\expandafter
+ \BNE_until_end_a\romannumeral-`0\BNE_getop }%
+ \else
+ \xint_afterfi{\expandafter\BNE_until_end_a
+ \romannumeral-`0\csname BNE_op_#2\endcsname }%
+ \fi
+ }%
+\catcode`( 11
+\def\BNE_op_( {\expandafter\BNE_until_)_a\romannumeral-`0\BNE_getnext }%
+\let\BNE_oparen\BNE_op_(
+\catcode`( 12
+\def\BNE_tmpa #1{% #1=\BNE_op_-vi
+ \def\BNE_until_)_a ##1{\xint_UDsignfork
+ ##1{\expandafter \BNE_until_)_a\romannumeral-`0#1}%
+ -{\BNE_until_)_b ##1}%
+ \krof }%
+}\expandafter\BNE_tmpa\csname BNE_op_-vi\endcsname
+\def \BNE_until_)_b #1#2%
+ {%
+ \ifcase #1\expandafter \BNE_missing_)_? % missing ) ?
+ \or\expandafter \BNE_getop % found closing )
+ \else \xint_afterfi
+ {\expandafter \BNE_until_)_a\romannumeral-`0\csname BNE_op_#2\endcsname }%
+ \fi
+ }%
+\def\BNE_missing_)_? {\BNE:missing_)_inserted \xint_c_ \BNE_done }%
+\let\BNE_precedence_) \xint_c_i
+\let\BNE_op_) \BNE_getop
+\catcode`) 12
+\def\BNE_tmpc #1#2#3#4#5#6#7%
+{%
+ \def #1##1% \BNE_op_<op>
+ {% keep value, get next number and operator, then do until
+ \expandafter #2\expandafter ##1\romannumeral-`0\expandafter\BNE_getnext }%
+ \def #2##1##2% \BNE_until_<op>_a
+ {\xint_UDsignfork
+ ##2{\expandafter #2\expandafter ##1\romannumeral-`0#4}%
+ -{#3##1##2}%
+ \krof }%
+ \def #3##1##2##3##4% \BNE_until_<op>_b
+ {% either execute next operation now, or first do next (possibly unary)
+ \ifnum ##2>#5%
+ \xint_afterfi {\expandafter #2\expandafter ##1\romannumeral-`0%
+ \csname BNE_op_##3\endcsname {##4}}%
+ \else \xint_afterfi {\expandafter ##2\expandafter ##3%
+ \csname .=#6{\BNE_unlock ##1}{\BNE_unlock ##4}\endcsname }%
+ \fi }%
+ \let #7#5%
+}%
+\def\BNE_tmpb #1#2#3%
+{%
+ \expandafter\BNE_tmpc
+ \csname BNE_op_#1\expandafter\endcsname
+ \csname BNE_until_#1_a\expandafter\endcsname
+ \csname BNE_until_#1_b\expandafter\endcsname
+ \csname BNE_op_-#2\expandafter\endcsname
+ \csname xint_c_#2\expandafter\endcsname
+ \csname #3\expandafter\endcsname
+ \csname BNE_precedence_#1\endcsname
+}%
+\BNE_tmpb +{vi}{bnumexprAdd}%
+\BNE_tmpb -{vi}{bnumexprSub}%
+\BNE_tmpb *{vii}{bnumexprMul}%
+\BNE_tmpb /{vii}{bnumexprDiv}%
+\if1\BNE_allowpower\BNE_tmpb ^{viii}{bnumexprPow}\fi
+\def\BNE_tmpa #1% #1=vi or vii
+{%
+\expandafter\BNE_tmpb
+ \csname BNE_op_-#1\expandafter\endcsname
+ \csname BNE_until_-#1_a\expandafter\endcsname
+ \csname BNE_until_-#1_b\expandafter\endcsname
+ \csname xint_c_#1\endcsname
+}%
+\def\BNE_tmpb #1#2#3#4%
+{%
+ \def #1% \BNE_op_-<level>
+ {% get next number+operator then switch to _until macro
+ \expandafter #2\romannumeral-`0\BNE_getnext
+ }%
+ \def #2##1% \BNE_until_-<level>_a
+ {\xint_UDsignfork
+ ##1{\expandafter #2\romannumeral-`0#1}%
+ -{#3##1}%
+ \krof }%
+ \def #3##1##2##3% \BNE_until_-<level>_b
+ {%
+ \ifnum ##1>#4%
+ \xint_afterfi {\expandafter #2\romannumeral-`0%
+ \csname BNE_op_##2\endcsname {##3}}%
+ \else
+ \xint_afterfi {\expandafter ##1\expandafter ##2%
+ \csname .=\expandafter\BNE_Opp
+ \romannumeral-`0\BNE_unlock ##3\endcsname }%
+ \fi
+ }%
+}%
+\BNE_tmpa {vi}%
+\BNE_tmpa {vii}%
+\if1\BNE_allowpower\BNE_tmpa {viii}\fi
+\def\BNE_Opp #1{\if-#1\else\if0#10\else-#1\fi\fi }%
+\catcode`, 11
+\def\BNE_op_, #1%
+{%
+ \expandafter \BNE_until_,_a\expandafter #1\romannumeral-`0\BNE_getnext
+}%
+\def\BNE_tmpa #1{% #1 = \BNE_op_-vi
+ \def\BNE_until_,_a ##1##2%
+ {%
+ \xint_UDsignfork
+ ##2{\expandafter \BNE_until_,_a\expandafter ##1\romannumeral-`0#1}%
+ -{\BNE_until_,_b ##1##2}%
+ \krof }%
+}\expandafter\BNE_tmpa\csname BNE_op_-vi\endcsname
+\def\BNE_until_,_b #1#2#3#4%
+{%
+ \ifnum #2>\xint_c_ii
+ \xint_afterfi {\expandafter \BNE_until_,_a
+ \expandafter #1\romannumeral-`0%
+ \csname BNE_op_#3\endcsname {#4}}%
+ \else
+ \xint_afterfi {\expandafter #2\expandafter #3%
+ \csname .=\BNE_unlock #1, \BNE_unlock #4\endcsname }%
+ \fi
+}%
+\let \BNE_precedence_, \xint_c_ii
+\catcode`, 12
+\def\BNE_notacitmultiplication{%
+ \def\BNE_getop_a ##1##2{%
+ \ifx \relax ##2\expandafter\xint_firstoftwo\else
+ \expandafter\xint_secondoftwo\fi
+ {\BNE_foundend ##1}%
+ {\BNE_foundop ##2##1}%
+ }%
+ \def\BNE_scan_nbr_a ##1{%
+ \ifcat \relax ##1\expandafter\xint_firstoftwo\else
+ \expandafter\xint_secondoftwo\fi
+ {!##1}{\expandafter\BNE_scan_nbr_b\string ##1}%
+ }%
+}%
+\let\BNE_tmpa\relax \let\BNE_tmpb\relax \let\BNE_tmpc\relax \let\BNE_allowpower\relax
+\BNErestorecatcodes
+\endinput
+%%
+%% End of file `bnumexpr.sty'.
diff --git a/Master/tlpkg/bin/tlpkg-ctan-check b/Master/tlpkg/bin/tlpkg-ctan-check
index 7fae560d938..c38f78eb709 100755
--- a/Master/tlpkg/bin/tlpkg-ctan-check
+++ b/Master/tlpkg/bin/tlpkg-ctan-check
@@ -92,7 +92,7 @@ my @TLP_working = qw(
bidi bidi-atbegshi bidicontour bidipagegrid bidishadowtext
bigfoot bigints binomexp biocon bitelist bizcard
blacklettert1 blindtext blkarray block blockdraw_mp bloques blowup blox
- bodegraph bohr boisik bold-extra
+ bnumexpr bodegraph bohr boisik bold-extra
boites boldtensors bondgraph bookest bookhands booklet
booktabs booktabs-de booktabs-fr boolexpr boondox bophook
borceux bosisio
diff --git a/Master/tlpkg/tlpsrc/bnumexpr.tlpsrc b/Master/tlpkg/tlpsrc/bnumexpr.tlpsrc
new file mode 100644
index 00000000000..e69de29bb2d
--- /dev/null
+++ b/Master/tlpkg/tlpsrc/bnumexpr.tlpsrc
diff --git a/Master/tlpkg/tlpsrc/collection-latexextra.tlpsrc b/Master/tlpkg/tlpsrc/collection-latexextra.tlpsrc
index 5123758ce5d..e5db8a06643 100644
--- a/Master/tlpkg/tlpsrc/collection-latexextra.tlpsrc
+++ b/Master/tlpkg/tlpsrc/collection-latexextra.tlpsrc
@@ -72,6 +72,7 @@ depend blindtext
depend blkarray
depend block
depend blowup
+depend bnumexpr
depend boites
depend bold-extra
depend bookest
generated by cgit v1.2.3 (git 2.39.1) at 2024-11-01 07:54:28 +0000