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authorKarl Berry <karl@freefriends.org>2013-05-17 22:26:13 +0000
committerKarl Berry <karl@freefriends.org>2013-05-17 22:26:13 +0000
commit80eb7bfc5d988aac41d54fb476da10747288bf1c (patch)
tree5690a4b3e07227d1db88bd999d14c81be3f31b64 /Master
parent10710410fa127b4c7ebef6d49956901b912b16ba (diff)
xint (17may13)
git-svn-id: svn://tug.org/texlive/trunk@30528 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master')
-rw-r--r--Master/texmf-dist/doc/generic/xint/README2
-rw-r--r--Master/texmf-dist/doc/generic/xint/xint.pdfbin512307 -> 519270 bytes
-rw-r--r--Master/texmf-dist/source/generic/xint/xint.dtx7975
-rw-r--r--Master/texmf-dist/source/generic/xint/xint.ins2
-rw-r--r--Master/texmf-dist/tex/generic/xint/xint.sty3464
-rw-r--r--Master/texmf-dist/tex/generic/xint/xintcfrac.sty831
-rw-r--r--Master/texmf-dist/tex/generic/xint/xintfrac.sty1072
-rw-r--r--Master/texmf-dist/tex/generic/xint/xintgcd.sty295
-rw-r--r--Master/texmf-dist/tex/generic/xint/xintseries.sty215
9 files changed, 6853 insertions, 7003 deletions
diff --git a/Master/texmf-dist/doc/generic/xint/README b/Master/texmf-dist/doc/generic/xint/README
index 47c8fd386f3..fa4d92bddcd 100644
--- a/Master/texmf-dist/doc/generic/xint/README
+++ b/Master/texmf-dist/doc/generic/xint/README
@@ -6,7 +6,7 @@
% xintseries.sty Expandable partial sums with xint package
% xintcfrac.sty Expandable continued fractions with xint package
% Copyright (C) 2013 by Jean-Francois Burnol
-% Version: v1.06a (2013/05/09)
+% Version: v1.06b (2013/05/14)
%----------------------------------------------------------------
This work consists of the source file xint.dtx and of its derived files
diff --git a/Master/texmf-dist/doc/generic/xint/xint.pdf b/Master/texmf-dist/doc/generic/xint/xint.pdf
index d0dda761312..dc6f5d118e8 100644
--- a/Master/texmf-dist/doc/generic/xint/xint.pdf
+++ b/Master/texmf-dist/doc/generic/xint/xint.pdf
Binary files differ
diff --git a/Master/texmf-dist/source/generic/xint/xint.dtx b/Master/texmf-dist/source/generic/xint/xint.dtx
index e5738eb7a07..34f86ef47b8 100644
--- a/Master/texmf-dist/source/generic/xint/xint.dtx
+++ b/Master/texmf-dist/source/generic/xint/xint.dtx
@@ -1,23 +1,17 @@
% -*- coding: iso-latin-1; -*-
-% This file: xint.dtx (1.06a, 2013/05/09)
-%%
-%%----------------------------------------------------------------
-%% The xint bundle (version 1.06a of May 9, 2013)
-%<xint>%% xint: Expandable operations on long numbers
-%<xintgcd>%% xintgcd: Euclidean algorithm with xint package
-%<xintfrac>%% xintfrac: Expandable operations on fractions
-%<xintseries>%% xintseries: Expandable partial sums with xint package
-%<xintcfrac>%% xintcfrac: Expandable continued fractions with xint package
-%% Copyright (C) 2013 by Jean-Francois Burnol
-%%----------------------------------------------------------------
-%%
-% Style files in the bundle:
+% This file: xint.dtx (1.06b, 2013/05/14)
+%
+% Style files which will self-extract from xint.dtx:
% (base) xint.sty Expandable operations on long numbers
% xintgcd.sty Euclidean algorithm with xint package
% xintfrac.sty Expandable operations on fractions
% xintseries.sty Expandable partial sums with xint package
% xintcfrac.sty Expandable continued fractions with xint package
+% May be used with Plain TeX (\input) or as LaTeX packages (\usepackage)
%
+% License
+% =======
+%
% This work consists of the source file xint.dtx and of its derived files
% xint.sty, xintgcd.sty, xintfrac.sty, xintseries.sty, xintcfrac.sty, xint.ins
% and the documentation xint.pdf (or xint.dvi).
@@ -32,8 +26,8 @@
% and version 1.3 or later is part of all distributions of
% LaTeX version 2005/12/01 or later.
%
-% The author of this work is Jean-Francois Burnol <jfbu at free dot fr>.
-% This work has the LPPL maintenance status `author-maintained'.
+% The author of this work is Jean-Francois Burnol <jfbu at free dot fr>.
+% This work has the LPPL maintenance status `author-maintained'.
%
% Installation and Usage:
% =======================
@@ -59,8 +53,8 @@
% xint.dtx --> TDS:source/generic/xint/
% xint.pdf --> TDS:doc/generic/xint/
%
-% It may be necessary to then refresh the TeX installation filename
-% database.
+% It may be necessary to then refresh the TeX installation filename
+% database.
%
% Usage with LaTeX: \usepackage{xint}
% \usepackage{xintgcd} % (loads xint)
@@ -74,10 +68,21 @@
% \input xintseries.sty\relax % (loads xintfrac)
% \input xintcfrac.sty\relax % (loads xintfrac)
%
+%%
+%%----------------------------------------------------------------
+%% The xint bundle (version 1.06b of May 14, 2013)
+%<xint>%% xint: Expandable operations on long numbers
+%<xintgcd>%% xintgcd: Euclidean algorithm with xint package
+%<xintfrac>%% xintfrac: Expandable operations on fractions
+%<xintseries>%% xintseries: Expandable partial sums with xint package
+%<xintcfrac>%% xintcfrac: Expandable continued fractions with xint package
+%% Copyright (C) 2013 by Jean-Francois Burnol
+%%----------------------------------------------------------------
+%%
%<*none>
-\def\lasttimestamp{Time-stamp: <09-05-2013 08:51:48 CEST BURNOL>}
-\def\pkgversion{1.06a}
-\def\pkgdate{2013/05/09}
+\def\lasttimestamp{Time-stamp: <14-05-2013 22:00:09 CEST jfb>}
+\def\pkgversion{1.06b}
+\def\pkgdate{2013/05/14}
\def\striptimestamp #1 <#2 #3 #4 #5>{#2 at #3 #4}
\def\getdocdate #1 <#2-#3-#4 #5>{#4/#3/#2}
\edef\docdate{\expandafter\getdocdate\lasttimestamp}
@@ -123,7 +128,6 @@
\ProvidesFile{xint.dtx}[bundle source and documentation (\dtxtimestamp)]
\documentclass[a4paper,11pt,abstract]{scrdoc}
-%\OnlyDescription
\pagestyle{headings}
\usepackage[latin1]{inputenc}
@@ -162,7 +166,7 @@
% attention de positionner \toctransition *après* le début de la section
% "implémentation de xint"
-\def\stripatdot #1.{}
+\def\gobbletodot #1.{}
\let\savedsectionline\l@section
\etocsetstyle{section}{}{}
@@ -174,7 +178,7 @@
\setlength{\columnsep}{1.5em}
\begin{multicols}{2}}{}
{\noindent\makebox[1.5em][l]
- {\ttfamily\expandafter\stripatdot\etocthenumber}%
+ {\ttfamily\expandafter\gobbletodot\etocthenumber}%
\etocname\leaders\etoctoclineleaders\hfill
{\normalfont\etocpage}\endgraf}
{\end{multicols}\endgroup}%
@@ -246,6 +250,9 @@
\usepackage[english]{babel}
\usepackage[autolanguage,np]{numprint}
+\AtBeginDocument{
+\npthousandsep{,\hskip .16667em plus .01em minus .01em}}
+
\usepackage[pdfencoding=pdfdoc,bookmarks=true]{hyperref}
@@ -281,17 +288,11 @@ pdfpagemode=UseOutlines}
{\hbox to \linewidth \bgroup \hss \bgroup \aftergroup\centeredline@ }
\makeatother
-%---- ALLOWING COMMENTS INSIDE VERBATIM BLOCKS
+%---- MODIFIED \verb, and verbatim like `environments' FITS BETTER OUR USE OF IT
\makeatletter
-\let\original@check@percent\check@percent
-\let\check@percent\relax
-\makeatother
-
-%---- A MODIFIED \verb, FITS BETTER OUR USE OF IT
-\makeatletter
-% le \verb de doc.sty est très chiant car il a retiré
-% \verbatim@font pour mettre un \ttfamily hard-coded
-% à la place.
+% le \verb de doc.sty est très chiant car il a retiré \verbatim@font pour mettre
+% un \ttfamily hard-coded à la place. [en fin de compte j'utilise dorénavant le
+% vocable \MicroFont plutôt que \verbatim@font]
%
% Par ailleurs j'en ai marre des erreurs dues au fait que mes
% paragraphes reformatés dans emacs passent à la ligne au milieu
@@ -303,50 +304,139 @@ pdfpagemode=UseOutlines}
% Et il n'y avait donc pas de \obeylines puisque la fin de ligne
% devenait un message d'erreur dans \verb@eol@error
%
-% De plus je retire le \do@noligs qui me gêne plutôt qu'autre chose,
-% surtout maintenant que les espaces ne sont pas des control spaces
+% à propos \do@noligs:
+% macro:#1->\catcode `#1\active \begingroup \lccode `\~=`#1\relax \lowercase
+% {\endgroup \def ~{\leavevmode \kern \z@ \char `#1}}
+% ne manque-t-il pas un espace après le \char `#1? En effet! ça me pose des
+% problèmes lorsque l'espace a catcode 10!!
%
-% attention au signe - par contre, on ne veut *pas* de ligatures avec lui
+% attention au signe - par contre, on ne veut vraiment *pas* de ligatures avec
+% lui, donc pour lui et seulement pour lui je fais le boulot de \do@noligs. OK,
+% je pense que la raison pour laquelle je ne le faisais que pour - est celle du
+% paragraphe précédent que je viens d'ajouter, donc finalement je fais le
+% \do@noligs entier
+% \catcode`\-\active \def-{\kern \z@ \char`\- }
%
-\def\noligminus {\kern \z@ \char`\-}
-\begingroup\catcode`\-\active
-\gdef\verb {\relax \ifmmode \hbox \else \leavevmode \null \fi
- \bgroup \verbatim@font
- \let \do \@makeother \dospecials \catcode`\-\active
- \let-\noligminus \catcode32 10 \@ifstar {\@sverb }{\@sverb }}
-\endgroup
-% ça c'est pour mes petits morceaux de code:
-\def\verbatim@font {\ttfamily }
-\def\MacroFont{\ttfamily\baselineskip12pt\relax}
-% Mais j'ai besoin d'un verbatim différent pour les nombres car je
-% ne veux pas passer en mode mathématique et je ne veux pas les 0
-% du txtt pour cela. Comme je n'utilise pas de tabulation, je vais
-% prendre &
+% 12 et 13 mai 2013. Je dois m'occuper des verbatim, et comme je n'ai (pas ou
+% plus) envie de perdre du temps à aller re-regarder verbatim et en particulier
+% son emploi de trivlist, avec les conséquences *lamentables* sur les
+% espacements verticaux je décide de tester une variante de \verb spécialement
+% pour remplacer mes blocs verbatim, particulièrement dans le code commenté. Et
+% voilà \lverb! bye bye \begin{verbatim}
+%
+% bref, pour \lverb: d'abord il est \long. Ensuite j'utilise $ si j'ai besoin de
+% control sequences. En fait j'ai juste eu besoin pour \%. Car le % lui je le
+% mets (maintiens, donc la partie implémentation) à ignore. Ah, et finalement
+% j'utilise aussi $\. Les espaces sont normaux.
+% Enfin, je fais de & un caractère de commentaires. Tout cela c'est pour
+% la partie Implémentation.
+%
+% Pour les verbatim dans la partie user manual, je fais une variante \dverb, qui
+% elle respecte les lignes, en utilisant \obeylines.
+%
+\def\MicroFont {\ttfamily }
+\def\MacroFont {\ttfamily\baselineskip12pt\relax}
+% 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 }}%
+}
+\def\verb
+{%
+ \relax \ifmmode\hbox\else\leavevmode\null\fi
+ \bgroup \MicroFont
+ \let\do\do@noligs \verbatim@nolig@list
+ \let\do\@makeother \dospecials
+ \catcode32 10 \@jfverb
+}
+\def\@jfverb #1{\catcode`#1\active\lccode`\~`#1\lowercase{\let~\egroup}}
+% ATTENTION!
+% \def~{\\\relax} cause des problèmes infinis. Donc je vais simplement utiliser
+% dans les parties commentées du code $\ puisque $ a catcode 0.
+% attention à [, donc $\$relax en un endroit.
+\long\def\lverb % pour utilisation dans la partie implémentation
+{%
+ \relax\par\smallskip\noindent\null
+ \begingroup
+ \let\par\@@par\hbadness 100 \hfuzz 100pt\relax
+ \hsize .85\hsize
+ \MacroFont
+ \bgroup
+ \aftergroup\@@par \aftergroup\endgroup \aftergroup\medskip
+ \let\do\do@noligs \verbatim@nolig@list
+ \let\do\@makeother \dospecials
+ \catcode32 10 \catcode`\% 9 \catcode`\& 14 \catcode`\$ 0
+ \@jfverb
+}
+% et voilà. Comme quoi, on peut aussi faire sans \trivlist si on veut.
+\long\def\dverb % pour utilisation dans le manuel de l'utilisateur
+% contrairement à \lverb, ici, on fait \obeylines
+% à utiliser sous la forme: (ou avec un autre à la place de |)(on aurait pu
+% imaginer aussi prendre ^^A ou dans le genre
+% \dverb|&
+% blahblah
+% |
+% pour qu'il y ait bien un dernier end of line, qui est compensé a posteriori
+{%
+ \relax\par\smallskip
+ \bgroup
+ \parindent0pt
+ % \parskip0pt
+ \def\par{\@@par\leavevmode\null}%
+ \let\do\do@noligs \verbatim@nolig@list
+ \let\do\@makeother \dospecials
+ \catcode`\& 14
+ \aftergroup\vskip\aftergroup-\aftergroup\baselineskip
+ \aftergroup\smallskip
+ \aftergroup\noindent\aftergroup\ignorespaces
+ \MacroFont \obeylines \@vobeyspaces
+ \@jfverb
+}
+% Mais j'ai besoin d'un mode verbatim différent pour les nombres car je
+% ne veux pas passer en mode mathématique (que j'aime de moins en moins) et je
+% ne veux pas les 0 du txtt pour cela. Comme je n'utilise pas de tabulation, je
+% vais prendre &
\catcode`\& 13
-\def&{\begingroup\let\do\@makeother\dospecials\catcode`\& 13 \@jfverb }
-\def\@jfverb #1&{#1\endgroup }
+\def&{\begingroup
+ \let\do\@makeother\dospecials
+ \catcode`\& 13
+ \@jfendshrtverb }
+\def\@jfendshrtverb #1&{#1\endgroup }
\makeatother
% Note: il n'y a plus de \hyphenchar-1 dans le \DeclareFontFamily de t1txtt
% ATTENTION CEPENDANT À CE QUI SE PASSE EN CAS DE CHANGEMENT DE TAILLE
-\DeclareRobustCommand\csa[1]{{\ttfamily\hyphenchar\font45 \char`\\#1}}
-\DeclareRobustCommand\csb[1]{\hyperref[#1]{\color{blue}\ttfamily
- \hyphenchar\font45 \char`\\#1}}
-\DeclareRobustCommand\csbnolk[1]{{\color{blue}\ttfamily
- \hyphenchar\font45 \char`\\#1}}
+% 11 mai 2013: j'utilise dorénavant _ là où avant c'était @
+\catcode`\_=11
+
+\def\csa_aux #1{\ttfamily\hyphenchar\font45 \char`\\#1\endgroup }
+
+\def\csb_aux #1{\hyperref[#1]{\color{blue}\ttfamily
+ \hyphenchar\font45 \char`\\#1}\endgroup }
+
+\DeclareRobustCommand\csa {\begingroup\catcode`\_=11 \csa_aux }
+\DeclareRobustCommand\csb {\begingroup\catcode`\_=11 \csb_aux }
+\DeclareRobustCommand\csbnolk {\begingroup\catcode`\_=11 \color{blue}\csa_aux }
\newcommand\csh[1]{\texorpdfstring{\csa{#1}}{\textbackslash #1}}
\newcommand\csbh[1]{\texorpdfstring{\csbnolk{#1}}{\textbackslash #1}}
-\makeatletter
-\@for\x:=xint,xintgcd,xintfrac,xintseries,xintcfrac\do
-{\expandafter\edef\csname\x name\endcsname
- {\noexpand\texorpdfstring{{\noexpand\color{joli}\noexpand\ttfamily
- \hyphenchar\font45
- \noexpand\bfseries \x}}
- {\x}\noexpand\xspace}}
-\makeatother
+\catcode`\_=8
+
+\def\xintpackagenamedef #1%
+{%
+ \expandafter\def\csname #1name\endcsname
+ {\texorpdfstring
+ {{\color{joli}\ttfamily\hyphenchar\font45 \bfseries #1}}
+ {#1}%
+ \xspace }%
+}%
+\xintApplyUnbraced\xintpackagenamedef
+ {{xint}{xintgcd}{xintfrac}{xintseries}{xintcfrac}}
+
\frenchspacing
\renewcommand\familydefault\sfdefault
@@ -369,6 +459,7 @@ pdfpagemode=UseOutlines}
\thispagestyle{empty}
\rmfamily
+
\pdfbookmark[1]{Title page}{TOP}
{\normalfont\Large\parindent0pt \parfillskip 0pt\relax
@@ -442,18 +533,46 @@ Here are some examples:
{\xintiSub {\xintiPow {2}{200}}{1}}\to\A\B\U\V\D
\printnumber\U$\times$(&7^200-3^200&)+\printnumber{\xintiOpp\V}$\times$(&2^200-1&)=\printnumber\D
-{\color{magenta}The Euclide algorithm applied to
- \np{179876541573}
- and \np{66172838904}:}\\
+{\color{magenta}The Euclide algorithm applied to \np{179876541573} and
+ \np{66172838904}:}\footnote{this example is computed tremendously faster than
+ the
+ other ones, but we had to limit the space taken by the output.}\\
{\color{blue}|\xintTypesetEuclideAlgorithm {179876541573}{66172838904}|}
-\xintTypesetEuclideAlgorithm {179876541573}{66172838904}
-
-
+\xintTypesetEuclideAlgorithm {179876541573}{66172838904} \smallskip
+
+{\color{magenta}$\sum_{n=1}^{500} (4n^2 - 9)^{-2}$ with each term rounded to
+ twelve digits, and the sum to nine digits:} {\color{blue}%
+ |\def\coeff #1%|\\
+ | {\xintiRound {12}{1/\xintiSqr{\the\numexpr 4*#1*#1-9\relax }[0]}}|\\
+ |\xintRound {9}{\xintiSeries {1}{500}{\coeff}[-12]}|:} \def\coeff #1%
+{\xintiRound {12}{1/\xintiSqr{\the\numexpr 4*#1*#1-9\relax }[0]}} \xintRound
+{9}{\xintiSeries {1}{500}{\coeff}[-12]}\endgraf The complete series, extended to
+infinity, has value
+$\frac{\pi^2}{144}-\frac1{162}={}$\np{0.06236607994583659534684445}\dots\,%
+\footnote{\label{fn:np}This number is typeset using the
+ \href{http://www.ctan.org/pkg/numprint}{\color{niceone}numprint} package, with
+ \texttt{\detokenize{\npthousandsep{,\hskip .16667em plus .01em minus .01em}}}. But the breaking accross
+ lines works only in text mode. The number itself was (of course...) computed
+ initially with \xintname, with 30 digits of $\pi$ as input.
+ See
+ \hyperref[ssec:Machin]{\color{niceone}{how \xintname may compute $\pi$
+ from scratch}}.} I also used (this is a lengthier computation
+than the one above) \xintseriesname to evaluate the sum with \np{100000} terms,
+obtaining 16
+correct decimal digits for the complete sum. The
+coefficient macro must be redefined to avoid a |\numexpr| overflow, as
+|\numexpr| inputs must not exceed &2^31-1&; my choice
+was:
+{\color{blue}\dverb|&
+\def\coeff #1%
+{\xintiRound {22}{1/\xintiSqr{\xintiMul{\the\numexpr 2*#1-3\relax}
+ {\the\numexpr 2*#1+3\relax}}[0]}}
+|}
The first example uses only the base module \xintname, the next two require
-loading also the \xintfracname package, which deals with fractions. The last two
-require the \xintgcdname package. The bundle also comprises the \xintseriesname
-package, for partial sums of series with fractional coefficients, and
-\xintcfracname for continued fractions computations.
+loading also the \xintfracname package, which deals with fractions. Then two
+examples with the \xintgcdname package, and finally one with the
+\xintseriesname package, for partial sums of series with fractional
+coefficients. There is also \xintcfracname for continued fractions computations.
To see more of \xintname in action, jump to the
{\color{niceone}\autoref{sec:series}} describing the commands of the
@@ -570,12 +689,12 @@ The present package is the result of this initial questioning.
Except for some specific macros dealing with assignments or typesetting, the
bundle macros all work in expansion-only context. For example, with the
following code snippet within |myfile.tex|:
-\begin{verbatim}
+\dverb|&
\newwrite\outfile
\immediate\openout\outfile \jobname-out\relax
\immediate\write\outfile {\xintQuo{\xintPow{2}{1000}}{\xintFac{100}}}
% \immediate\closeout\outfile
-\end{verbatim}
+|
the tex run creates a file |myfile-out.tex|
containing the decimal representation of the integer quotient &2^{1000}/100!&.
Such macros can also be used inside a |\csname...\endcsname|, and
@@ -594,16 +713,19 @@ print them here: \printnumber\x.
For the sake of typesetting this documentation and not have big numbers
extend into the margin and go beyond the page physical limits, I use
these commands (not provided by the package):
-\begin{verbatim}
+\dverb|&
\def\allowsplits #1{\ifx #1\relax \else #1\hskip 0pt plus 1pt \relax
\expandafter\allowsplits\fi}%
\def\printnumber #1{\expandafter\expandafter\expandafter
\allowsplits #1\relax }%
% Expands twice before printing.
-\end{verbatim}
+|
The |\printnumber| macro is not part of the package and would need additional
-thinking for more general use. It may be used as |\printnumber
+thinking for more general use.\footnote{as explained in
+ \hyperref[fn:np]{\color{niceone}a previous footnote},
+ the |numprint| package may also be used, in text mode only (as the thousand
+ separator seemingly ends up typeset in a |\string\hbox| when in math mode).} It may be used as |\printnumber
{\xintQuo{\xintPow {2}{1000}}{\xintFac{100}}}|, or as |\printnumber\mynumber| if
the macro |\mynumber| was previously defined via an |\edef|, as for
example:\centeredline{ |\edef\mynumber {\|\texttt{xintQuo}|{\xintPow
@@ -1007,10 +1129,10 @@ digits. Using |\ifcase\xintSgn\A| without the braces is very dangerous,
because the blanks (including the end of line) following |\A| will be
skipped and not serve to stop the number which |\ifcase| is looking for.
With |\def\A{1}|:
-\begin{verbatim}
+\dverb|&
\ifcase \xintSgn\A 0\or OK\else ERROR\fi ---> gives ERROR
\ifcase \xintSgn{\A} 0\or OK\else ERROR\fi ---> gives OK
-\end{verbatim}
+|
% \def\A{1}
% \ifcase \xintSgn\A 0\or OK\else ERROR\fi\
% \ifcase \xintSgn{\A} 0\or OK\else ERROR\fi
@@ -1082,7 +1204,7 @@ expandability. For example why not allow oneself the two definitions
}}}\vskip\dp\strutbox } so it is completely\strut{} expanded and may be
a count register, not necessarily prefixed by |\the| or |\number|. Consider
the following code snippet:
-\begin{verbatim}
+\dverb+&
\newcount\cnta
\newcount\cntb
\begingroup
@@ -1100,7 +1222,7 @@ their squares is \the\cntb. These digits are, from the least to
the most significant: \cnta = \Out{0}
\loop \Out{\cnta}\ifnum \cnta > 1 \advance\cnta -1 , \repeat.
\endgroup
-\end{verbatim}
++
\edef\z{\xintiPow {2}{100}}
@@ -1178,12 +1300,13 @@ things', which were treated un-expandably in the previous section with
\csb{xintReverseOrder}, \csb{xintLen} and
\csb{xintLength} since the first release, \csb{xintApply} and
\csb{xintListWithSep} since |1.04|, \csb{xintRevWithBraces},
-\csb{xintCSVtoList}, \csb{xintNthElt} now with |1.06|.
+\csb{xintCSVtoList}, \csb{xintNthElt} with |1.06|, and
+\csb{xintApplyUnbraced}, new with |1.06b|.
\edef\z{\xintiPow {2}{100}}
As an example the following code uses only expandable operations:
-\begin{verbatim}
+\dverb+&
|2^{100}| (=\xintiPow {2}{100}) has \xintLen{\xintiPow {2}{100}}} digits
and the sum of their squares is
\xintiSum{\xintApply {\xintiSqr}{\xintiPow {2}{100}}}.
@@ -1191,7 +1314,7 @@ These digits are, from the least to the most significant:
\xintListWithSep {, }{\xintRev{\xintiPow {2}{100}}}. The thirteenth most
significant digit is \xintNthElt{13}{\xintiPow {2}{100}}. The seventh
least significant one is \xintNthElt{7}{\xintRev{\xintiPow {2}{100}}}.
-\end{verbatim}
++
|2^{100}| (=\z) has \xintLen{\z} digits and the sum of
their squares is \xintiSum{\xintApply\xintiSqr\z}. These digits are, from the
least to the most significant: \xintListWithSep {, }{\xintRev\z}. The
@@ -1204,9 +1327,9 @@ least significant one is \xintNthElt{7}{\xintRev\z}.
% significant digit is \xintNthElt{13}{\xintiPow {2}{100}}. The seventh least
% significant one is \xintNthElt{7}{\xintRev{\xintiPow {2}{100}}}.
-Of course, with an earlier
-|\edef\z{\xintiPow {2}{100}}|, using |\z| in place of
- |\xintiPow {2}{100}| everywhere would spare the CPU some repetitions.
+Of course, it would be nicer to do
+|\edef\z{\xintiPow {2}{100}}|, and then use |\z| in place of
+ |\xintiPow {2}{100}| everywhere as this would spare the CPU some repetitions.
\section{Exceptions (error messages)}
@@ -1219,7 +1342,7 @@ end of the expansion so as to not disturb further processing of the
token stream, after completion of the operation. Generally the problematic
operation will output a zero. Possible such error message control
sequences:
-\begin{verbatim}
+\dverb|&
\xintError:ArrayIndexIsNegative
\xintError:ArrayIndexBeyondLimit
\xintError:FactorialOfNegativeNumber
@@ -1232,7 +1355,7 @@ sequences:
\xintError:TooBigDecimalShift
\xintError:TooBigDecimalSplit
\xintError:NoBezoutForZeros
-\end{verbatim}
+|
\section{Common input errors when using the package macros}
@@ -1259,17 +1382,22 @@ others are more annoying as they may pass through unsignaled.
\section{Package namespace}
Inner macros of \xintname, \xintgcdname, \xintfracname, \xintseriesname, and
-\xintcfracname{} all begin either with |\XINT@| or with |\xint@|. The package
-public commands all start with |\xint|. The major forms have their initials
+\xintcfracname{} all begin either with |\XINT_| or with
+|\xint_|.\footnote{starting with release |1.06b| the style files use for macro
+ names a more modern underscore |\_| rather than the |@| sign. Probability of a
+ name clash with \LaTeX2e packages is now even closer to nil, and with \LaTeX3
+ packages it is also close to nil as our control sequences are all lacking the
+ argument specifier part of \LaTeX3 function names.} The package public
+commands all start with |\xint|. The major forms have their initials
capitalized, and lowercase forms, prefixed with |\romannumeral0|, allow
definitions of further macros expanding in only two steps to their final
outputs. Some other control sequences are used only as delimiters, and left
-undefined, they may have been defined elsewhere, their meaning doesn't matter
+undefined, they may have been defined elsewhere, their meaning doesn't matter
and is not touched.
\section{Loading and usage}
-\begin{verbatim}
+\dverb|&
Usage with LaTeX: \usepackage{xint}
\usepackage{xintgcd} % (loads xint)
\usepackage{xintfrac} % (loads xint)
@@ -1281,7 +1409,7 @@ Usage with TeX: \input xint.sty\relax
\input xintfrac.sty\relax % (loads xint)
\input xintseries.sty\relax % (loads xintfrac)
\input xintcfrac.sty\relax % (loads xintfrac)
-\end{verbatim}
+|
We have added, directly copied from packages by \textsc{Heiko
Oberdiek}, a mecanism of re-load and \eTeX{} detection,
@@ -1324,7 +1452,7 @@ compatible. \csa{xintTypesetBezoutAlgorithm} also uses the
\section{Installation}
-\begin{verbatim}
+\dverb+&
Run tex or latex on xint.dtx.
This will extract the style files xint.sty, xintgcd.sty, xintfrac.sty,
@@ -1348,7 +1476,7 @@ To get xint.pdf run pdflatex thrice on xint.dtx
It may be necessary to then refresh the TeX installation filename
database.
-\end{verbatim}
++
\section{Commands of the \xintname package}
@@ -1415,8 +1543,8 @@ expands its argument (in the manner described, triggered by a
\csa{xintReverseOrder}\marg{list} does not do any
expansion of its argument and just reverses the order of the
-tokens in the `list'.\footnote{the argument is not a token list variable, just a
- `list' of tokens.} Brace pairs encountered are removed once and the enclosed
+tokens in the \meta{list}.\footnote{the argument is not a token list variable, just a
+ \meta{list} of tokens.} Brace pairs encountered are removed once and the enclosed
material does not get reverted. Spaces are gobbled.
\centeredline{|\xintReverseOrder{\xintDigitsOf\xintiPow {2}{100}\to\Stuff}|}
\centeredline{gives: \ttfamily{\string\Stuff\string\to1002\string\xintiPow\string\xintDigitsOf}}
@@ -1434,7 +1562,8 @@ material does not get reverted. Spaces are gobbled.
(which thus may be macro), then it reverses the order of the tokens, or braced
material, it encounters, adding a pair of braces to each (thus, maintaining
brace pairs already existing). Spaces (in-between external brace pairs) are
-gobbled. This macro is mainly thought out for use on a `list' of such braced
+gobbled. This macro is mainly thought out for use on a \meta{list} of such
+braced
material; with such a list as argument the expansion will only hit against the
first opening brace, hence do nothing, and the braced stuff may thus be macros
one does not want to expand. \centeredline{|\edef\x{\xintRevWithBraces{12345}}|}
@@ -1444,7 +1573,8 @@ one does not want to expand. \centeredline{|\edef\x{\xintRevWithBraces{12345}}|}
defined with |\edef|'s because the braced material did not contain macros.
Alternatively: \centeredline{|\expandafter\def\expandafter\w\expandafter|}%
\centeredline{|{\romannumeral0\xintrevwithbraces{{\A}{\B}{\C}{\D}{\E}}}|}
-\centeredline{|\meaning\w:|\ttfamily{\meaning\w}} The private macro |\XINT@RWB|
+\centeredline{|\meaning\w:|\ttfamily{\meaning\w}} The macro
+\csa{xintReverseWithBracesNoExpand}
does the same job without the initial expansion of its argument.
\subsection{\csbh{xintLen}}\label{xintiLen}
@@ -1475,15 +1605,20 @@ count as one. \centeredline{|\xintLength {\xintiPow
\def\y {a,b,c,d,e}
\edef\z{\xintCSVtoList \y}
-\makeatletter \csa{xintCSVtoList}|{a,b,c...,z}| returns |{a}{b}{c}...{z}|. The
-argument may be a macro. It is first expanded: this means that if the argument
-is |a,b,..|, then |a|, if a macro, will be expanded which may or may not be a
-good thing. Chains of contiguous spaces are collapsed by the \TeX{} scanning
-into single spaces. \centeredline{|\xintCSVtoList {1,2,a , b ,c d,x,y
- }->|\texttt{\expandafter\strip@prefix\meaning\X}}
-\centeredline{|\def\y{a,b,c,d,e}\xintCSVtoList\y->|\texttt{\expandafter\strip@prefix\meaning\z}}
-The private macro |\XINT@CSVtoL| does the same job without the initial
-expansion. \makeatother
+\csa{xintCSVtoList}|{a,b,c...,z}| returns |{a}{b}{c}...{z}|. The argument may be
+a macro. It is first expanded: this means that if the argument is |a,b,..|, then
+|a|, if a macro, will be expanded which may or may not be a good thing (starting
+the replacement text of the macro with |\space| stops the expansion at the first
+level and gobbles
+the space; prefixing a macro with |\space| stops preemptively the expansion and
+gobbles the space). Chains of
+contiguous spaces are collapsed by the \TeX{} scanning into single spaces.
+\centeredline{|\xintCSVtoList {1,2,a , b ,c d,x,y
+ }->|\makeatletter\texttt{\expandafter\strip@prefix\meaning\X}\makeatother}
+\centeredline{|\def\y{a,b,c,d,e}\xintCSVtoList\y->|\makeatletter\texttt{\expandafter\strip@prefix\meaning\z}\makeatother}
+
+% The macro \csa{xintCSVtoListNoExpand} does the same job without the initial
+% expansion.
\subsection{\csbh{xintNthElt}}\label{xintNthElt}
@@ -1500,20 +1635,20 @@ thirty-seventh digit of &100!&. \centeredline{|\xintNthElt {10}{\xintFtoCv
{566827/208524}}=|\texttt{\xintNthElt {10}{\xintFtoCv {566827/208524}}}} is
the tenth convergent of &566827/208524& (uses \xintcfracname package).
-If |x=0|
-or |x<0|, the macro returns the length of the expanded list: this is not
-equivalent to \csb{xintLength} due to the initial full expansion of the first
-token, and differs from \csb{xintLen} which is to be used on numbers or
+If |x=0| or |x<0|, the macro returns the length of the expanded list: this is
+not equivalent to \csb{xintLength} due to the initial full expansion of the
+first token, and differs from \csb{xintLen} which is to be used on numbers or
fractions only. The situation with |x| larger than the length of the list is
kept silent, the macro then returns nothing; this will perhaps be modified in
future versions. \centeredline{|\xintNthElt {7}{\xintCSVtoList
{1,2,3,4,5,6,7,8,9}}=|%
\texttt{\xintNthElt {7}{\xintCSVtoList {1,2,3,4,5,6,7,8,9}}}}%
-\centeredline{|\xintNthElt {0}{\xintCSVtoList
- {1,2,3,4,5,6,7,8,9}}=|%
- \texttt{\xintNthElt {0}{\xintCSVtoList {1,2,3,4,5,6,7,8,9}}}} The private
-macro |\XINT@NthElt| does the same job without first expanding its second
-argument.
+\centeredline{|\xintNthElt {0}{\xintCSVtoList {1,2,3,4,5,6,7,8,9}}=|%
+ \texttt{\xintNthElt {0}{\xintCSVtoList {1,2,3,4,5,6,7,8,9}}}}
+
+% The macro
+% \csa{xintNthEltNoExpand} does the same job without first expanding its
+% second argument.
\subsection{\csbh{xintListWithSep}}\label{xintListWithSep}
@@ -1521,34 +1656,71 @@ argument.
\def\macro #1{\the\numexpr 9-#1\relax}
-\csa{xintListWithSep}|{sep}{list}| just inserts the given separator |sep|
-in-between all elements of the given list. One level of braces is
-removed. An empty input gives an empty output, a singleton gives a singleton,
-the separator is used starting with at least two elements. The `list' argument
-may be a macro: it is expanded.
-\centeredline{|\xintListWithSep{:}{\xintFac
+\csa{xintListWithSep}|{sep}|\marg{list} just inserts the given separator |sep|
+in-between all elements of the given list: this separator may be a macro but
+will not be expanded. The second argument also may be itself a macro: it is
+expanded as usual, \emph{i.e.} fully for what comes first. Applying
+\csa{xintListWithSep} removes one level of top braces to each list constituent.
+An empty input gives an empty output, a singleton gives a singleton, the
+separator is used starting with at least two elements. Using an empty separator
+has the net effect of removing one-level of brace pairs from each ot the
+top-level braced material constituting the \meta{list}.
+\centeredline{|\xintListWithSep{:}{\xintFac
{20}}=|\texttt{\xintListWithSep{:}{\xintFac {20}}}}
-The private macro |XINT@LWS| does the same
-job without the initial expansion.
+
+% The macro \csa{xintListWithSepNoExpand} does the same
+% job without the initial expansion.
\subsection{\csbh{xintApply}}\label{xintApply}
-{\small New in release |1.04|.\par}
+{\small New with release |1.04|.\par}
\def\macro #1{\the\numexpr 9-#1\relax}
-\csa{xintApply}|{\macro}{list}| applies the one parameter command |\macro| to
-each item in the `list' (no separator) given as second argument. Each item is
-given in turn as parameter to |\macro| which is (fully, as usual) expanded, and
+\csa{xintApply}|{\macro}|\marg{list} applies the one parameter command |\macro|
+to
+each item in the \meta{list} (no separator) given as second argument. Each item
+is
+given in turn as parameter to |\macro| which is expanded (as usual, \emph{i.e.}
+fully for what comes first), and
the result is braced. On output, a new list with these braced results. The
-`list' may itself be some macro expanding (in the previously described way) to
+\meta{list} may itself be some macro expanding (in the previously described way)
+to
the list of tokens to which the command |\macro| will be applied. For example,
-if the `list' expands to some positive number, then each digit will be replaced
+if the \meta{list} expands to some positive number, then each digit will be
+replaced
by the result of applying |\macro| on it. \centeredline{|\def\macro
#1{\the\numexpr 9-#1\relax}|} \centeredline{|\xintApply\macro{\xintFac
- {20}}=|\texttt{\xintApply\macro{\xintFac {20}}}} The private macro
-|XINT@Apply| does the same job without the first initial expansion providing the
-`list'.
+ {20}}=|\texttt{\xintApply\macro{\xintFac {20}}}}
+
+% The macro
+% \csa{xintApplyNoExpand} does the same job without the first initial expansion
+% which gave the \meta{list} of braced tokens to which |\macro| is applied.
+
+\subsection{\csbh{xintApplyUnbraced}}\label{xintApplyUnbraced}
+
+{\small New in release |1.06b|.\par}
+
+\def\macro #1{\expandafter\def\csname myself#1\endcsname {#1}}
+\xintApplyUnbraced\macro{{elta}{eltb}{eltc}}
+
+\csa{xintApplyUnbraced}|{\macro}|\marg{list} is like \csb{xintApply} except that
+the
+various outputs are not again braced. The net effect is the same as doing
+\centeredline{|\xintListWithSep {}{\xintApply {\macro}|\marg{list}|}|}
+This command is useful for non-expandable
+things like doing macro definitions, for which braces are an inconvenience.
+(sorry for the silly example: )
+% sorry also for the silly coding of the following verbatim block
+\lverb|&
+$ $ $ $ \def\macro #1{\expandafter\def\csname myself#1\endcsname {#1}}$\
+$null$ $ $ $ \xintApplyUnbraced\macro{{elta}{eltb}{eltc}}$\
+$null$ $ $ $ \meaning\myselfelta:$ $ $meaning$myselfelta
+|
+% The macro \csa{xintApplyUnbracedNoExpand} does the same job without the first
+% initial expansion which gave the \meta{list} of braced tokens to which
+% |\macro|
+% is applied.
\subsection{\csbh{xintAssign}}\label{xintAssign}
@@ -1591,7 +1763,7 @@ pure expansion contexts, as assignments are made via the
expands fully the first token then defines \csa{myArray} to be a macro with one
parameter, such that \csa{myArray\x} expands in two steps (which provoke the
full expansion of the `short' number \texttt{\x}, given to a
-|\numexpr|) to give the |N|th braced
+|\numexpr|) to give the |x|th braced
thing, itself completely expanded. \csa{myArray}|{0}| returns the number |M| of
elements of the array so that the successive elements are \csa{myArray}|{1}|,
\dots, \csa{myArray}|{M}|. \centeredline{|\xintAssignArray\xintBezout
@@ -2436,9 +2608,9 @@ as \csb{xintiNum}.
\section{Commands of the \xintseriesname package}\label{sec:series}
Some arguments to the package commands are macros which are expanded only later,
-when given their parameters. The arguments serving as indices
-({\color{niceone}new with |1.06|}) are systematically given to a |\numexpr|
-expressions, hence fully expanded, they may be count registers, etc...
+when given their parameters. The arguments serving as indices are systematically
+given to a |\numexpr| expressions (new with |1.06|!) , hence fully expanded,
+they may be count registers, etc...
This package was
first released with version |1.03| of the \xintname bundle.
@@ -2457,15 +2629,14 @@ time of computing the successive |\coeff {n}|) should be defined as a
one-parameter fully expandable command, providing its output from an input being
an explicit number (string of digits, no need to make proviso for a count
register).
-\begin{verbatim}
-\def\coeff #1{\xintiMON{#1}/#1.5} % (-1)^n/(n+1/2)
+\dverb|&
+\def\coeff #1{\xintiMON{#1}/#1.5} % (-1)^n/(n+1/2)
\edef\w {\xintSeries {0}{50}{\coeff}} % we want to re-use it
\edef\z {\xintJrr {\w}[0]} % the [0] for a microsecond gain.
% \xintJrr preferred to \xintIrr: a big common factor is suspected.
% But numbers much bigger would be needed to show the greater efficiency.
\[ \sum_{n=0}^{n=50} \frac{(-1)^n}{n+\frac12} = \xintFrac\z \]
-\end{verbatim}
-\vspace*{-.5\baselineskip}
+|
\[ \sum_{n=0}^{n=50} \frac{(-1)^n}{n+\frac12} = \xintFrac\z \] For info,
before action by |\xintJrr| the inner representation of the result has a
denominator of |\xintLen {\xintDenominator\w}=|\xintLen
@@ -2529,7 +2700,7 @@ digits) in the denominator. See the explanations in the next section.
% \printnumber\z
\setlength{\columnsep}{0pt}
-\begin{verbatim}
+\dverb|&
\def\coeffleibnitz #1{\the\numexpr\ifodd #1 1\else-1\fi\relax/#1[0]}
\cnta 1
\loop % in this loop we recompute from scratch each partial sum!
@@ -2539,7 +2710,7 @@ digits) in the denominator. See the explanations in the next section.
{\xintSeries {1}{\cnta}{\coeffleibnitz}}\dots
\endgraf
\ifnum\cnta < 30 \advance\cnta 1 \repeat
-\end{verbatim}
+|
\begin{multicols}{3}
\def\coeffleibnitz #1{\the\numexpr\ifodd #1 1\else-1\fi\relax/#1[0]} \cnta 1
\loop
@@ -2562,18 +2733,18 @@ at the time of computing |\coeff {n}|) should be defined as a
one-parameter fully expandable command, accepting on input an explicit number,
and returning a (long) integer in the format understood by the integer-only
\csa{xintiAdd}.
-\begin{verbatim}
+\dverb|&
\def\coeff #1{\xintiTrunc {40}{\xintMON{#1}/#1.5}}%
% better:
\def\coeff #1{\xintiTrunc {40}
- {\the\numexpr 2*\xintiMON{#1}\relax/\the\numexpr 2*#1+1\relax [0]}}%
+ {\the\numexpr 2*\xintiMON{#1}\relax/\the\numexpr 2*#1+1\relax [0]}}%
% better still:
\def\coeff #1{\xintiTrunc {40}
- {\the\numexpr\ifodd #1 -2\else2\fi\relax/\the\numexpr 2*#1+1\relax [0]}}%
+ {\the\numexpr\ifodd #1 -2\else2\fi\relax/\the\numexpr 2*#1+1\relax [0]}}%
% (-1)^n/(n+1/2) times 10^40, truncated to an integer.
\[ \sum_{n=0}^{n=50} \frac{(-1)^n}{n+\frac12} \approx
\xintTrunc {40}{\xintiSeries {0}{50}{\coeff}[-40]}\dots\]
-\end{verbatim}
+|
The |#1.5| trick to define the |\coeff| macro was neat, but |1/3.5|, for
example, turns internally into |10/35| whereas it would be more efficient to
have |2/7|. The second way of coding the wanted coefficient avoids a superfluous
@@ -2591,7 +2762,7 @@ should trash the last two digits, or at least round at 38 digits. It is
interesting to compare with the computation where rounding rather than
truncation is used, and with the decimal
expansion of the exactly computed partial sum of the series:
-\begin{verbatim}
+\dverb|&
\def\coeff #1{\xintiRound {40} % rounding at 40
{\the\numexpr\ifodd #1 -2\else2\fi\relax/\the\numexpr 2*#1+1\relax [0]}}%
% (-1)^n/(n+1/2) times 10^40, rounded to an integer.
@@ -2601,7 +2772,7 @@ expansion of the exactly computed partial sum of the series:
{\the\numexpr\ifodd #1 -2\else2\fi\relax/\the\numexpr 2*#1+1\relax [0]}%
\[ \sum_{n=0}^{n=50} \frac{(-1)^n}{n+\frac12}
= \xintTrunc {50}{\xintSeries {0}{50}{\exactcoeff}}\dots\]
-\end{verbatim}
+|
\def\coeff #1{\xintiRound {40}
{\the\numexpr\ifodd #1 -2\else2\fi\relax/\the\numexpr 2*#1+1\relax [0]}}%
% (-1)^n/(n+1/2) times 10^40, rounded to an integer.
@@ -2630,7 +2801,7 @@ expanding to) the value |F(A)| and |\ratio| being a one-parameter expandable
command, accepting on input an explicit number |n| and producing after (full
iterated) expansion (of the first token) |F(n)/F(n-1)|. The initial and final
indices are given to a |\numexpr| expression.
-\begin{verbatim}
+\dverb|&
\def\ratio #1{2/#1[0]}% 2/n, comes from the series of exp(2)
\cnta 0 % previously declared count
\loop
@@ -2639,7 +2810,7 @@ indices are given to a |\numexpr| expression.
\xintTrunc{12}\z\dots=
\xintFrac\z=\xintFrac{\xintIrr\z}$\vtop to 5pt{}\endgraf
\ifnum\cnta<20 \advance\cnta 1 \repeat
-\end{verbatim}
+|
\def\ratio #1{2/#1[0]}% 2/n, comes from the series of exp(2)
\cnta 0
\loop
@@ -2655,8 +2826,7 @@ Such computations would become quickly completely inaccessible via the
all multiplied together: the raw addition and subtraction on fractions
just blindly multiplies denominators! Whereas \csa{xintRationalSeries}
evaluate the partial sums via a less silly iterative scheme.
-\vspace*{-.5\baselineskip}
-\begin{verbatim}
+\dverb|&
\def\ratio #1{-1/#1[0]}% -1/n, comes from the series of exp(-1)
\cnta 0 % previously declared count
\loop
@@ -2665,7 +2835,7 @@ evaluate the partial sums via a less silly iterative scheme.
\xintTrunc{20}\z\dots=\xintFrac{\z}=\xintFrac{\xintIrr\z}$
\vtop to 5pt{}\endgraf
\ifnum\cnta<20 \advance\cnta 1 \repeat
-\end{verbatim}
+|
\def\ratio #1{-1/#1[0]}% -1/n, comes from the series of exp(-1)
\cnta 0 % previously declared count
@@ -2685,8 +2855,7 @@ a macro with two parameters: |\def\ratioexp
Then, if |\x| expands to some fraction |x|, the
command \centeredline{|\xintRationalSeries {0}{b}{1}{\ratioexp{\x}}|}
will compute $\sum_{n=0}^{n=b} x^n/n!$:\par
-\vspace*{-.5\baselineskip}
-\begin{verbatim}
+\dverb|&
\cnta 0
\def\ratioexp #1#2{\xintDiv{#1}{#2}}% #1/#2
\loop
@@ -2695,7 +2864,7 @@ $\sum_{n=0}^{\the\cnta} (.57)^n/n! = \xintTrunc {50}
{\xintRationalSeries {0}{\cnta}{1}{\ratioexp{.57}}}\dots$
\vtop to 5pt {}\endgraf
\ifnum\cnta<50 \advance\cnta 10 \repeat
-\end{verbatim}
+|
\cnta 0
\loop
@@ -2718,7 +2887,7 @@ use this result without recomputing it. This is \csb{xintRationalSeriesX},
documented next.
Here is a slightly more complicated evaluation:
-\begin{verbatim}
+\dverb|&
\cnta 1
\loop \edef\z {\xintRationalSeries
{\cnta}
@@ -2731,7 +2900,7 @@ $\sum_{n=\the\cnta}^{\the\numexpr 2*\cnta-1\relax} \frac{\the\cnta^n}{n!}/%
\sum_{n=0}^{\the\numexpr 2*\cnta-1\relax} \frac{\the\cnta^n}{n!} =
\xintTrunc{8}{\xintDiv\z\w}\dots$ \vtop to 5pt{}\endgraf
\ifnum\cnta<20 \advance\cnta 1 \repeat
-\end{verbatim}
+|
\cnta 1
\begin{multicols}{2}
\loop \edef\z {\xintRationalSeries
@@ -2776,7 +2945,7 @@ explicit fraction encapsulated in a macro).
The example will use the macro \csb{xintPowerSeries} which computes
efficiently exact partial sums of power series, and is discussed in the
next section.
-\begin{verbatim}
+\dverb|&
\def\firstterm #1{1[0]}% first term of the exponential series
% although it is the constant 1, here it must be defined as a
% one-parameter macro. Next comes the ratio function for exp:
@@ -2793,7 +2962,7 @@ next section.
{\xintPowerSeries{1}{10}{\coefflog}{\the\cnta[-1]}}}\dots
\endgraf
\ifnum\cnta < 12 \advance \cnta 1 \repeat
-\end{verbatim}
+|
\def\firstterm #1{1[0]}% first term of the exponential series
% although it is the constant 1, here it must be defined as a
@@ -2937,7 +3106,7 @@ was plaguing the |1.03| version. \footnote{with powers |x\string^k|,
coefficients themselves.
\end{framed}
-\begin{verbatim}
+\dverb|&
\def\geom #1{1[0]} % the geometric series
\def\x {5/17[0]}
\[ \sum_{n=0}^{n=20} \Bigl(\frac 5{17}\Bigr)^n
@@ -2947,7 +3116,7 @@ was plaguing the |1.03| version. \footnote{with powers |x\string^k|,
% a parser for arbitrary algebraic expressions with the +,-,/,*,and ^
% operations would be dearly appreciated here ; implementing a completely
% expandable one would be quite a lot of work, even if we plagiarize l3fp!
-\end{verbatim}
+|
\def\geom #1{1[0]} % the geometric series
\def\x {5/17[0]} %
\[ \sum_{n=0}^{n=20} \Bigl(\frac 5{17}\Bigr)^n
@@ -2955,14 +3124,14 @@ was plaguing the |1.03| version. \footnote{with powers |x\string^k|,
=\xintFrac{\xintiSub{\xintiPow {17}{21}}{\xintiPow{5}{21}}%
/\xintiMul{12}{\xintiPow {17}{20}}}\]
-\begin{verbatim}
+\dverb|&
\def\coefflog #1{1/#1[0]}% 1/n
\def\x {1/2[0]}%
\[ \log 2 \approx \sum_{n=1}^{20} \frac1{n\cdot 2^n}
= \xintFrac {\xintIrr {\xintPowerSeries {1}{20}{\coefflog}{\x}}}\]
\[ \log 2 \approx \sum_{n=1}^{50} \frac1{n\cdot 2^n}
= \xintFrac {\xintIrr {\xintPowerSeries {1}{50}{\coefflog}{\x}}}\]
-\end{verbatim}
+|
\def\coefflog #1{1/#1[0]} % 1/n
\def\x {1/2[0]}%
\[ \log 2 \approx \sum_{n=1}^{20} \frac1{n\cdot 2^n}
@@ -2970,7 +3139,7 @@ was plaguing the |1.03| version. \footnote{with powers |x\string^k|,
{1}{20}{\coefflog}{\x}}}\]
\[ \log 2 \approx \sum_{n=1}^{50} \frac1{n\cdot 2^n}
= \xintFrac {\xintIrr {\xintPowerSeries {1}{50}{\coefflog}{\x}}}\]
-\begin{verbatim}
+\dverb|&
\cnta 1 % previously declared count
\loop % in this loop we recompute from scratch each partial sum!
% we can afford that, as \xintPowerSeries is fast enough.
@@ -2979,7 +3148,7 @@ was plaguing the |1.03| version. \footnote{with powers |x\string^k|,
{\xintPowerSeries {1}{\cnta}{\coefflog}{\x}}\dots
\endgraf
\ifnum \cnta < 30 \advance\cnta 1 \repeat
-\end{verbatim}
+|
\setlength{\columnsep}{0pt}
\begin{multicols}{3}
\cnta 1 % previously declared count
@@ -2990,7 +3159,7 @@ was plaguing the |1.03| version. \footnote{with powers |x\string^k|,
\endgraf
\ifnum \cnta < 30 \advance\cnta 1 \repeat
\end{multicols}
-\begin{verbatim}
+\dverb|&
%\def\coeffarctg #1{1/\the\numexpr\xintMON{#1}*(2*#1+1)\relax }%
\def\coeffarctg #1{1/\the\numexpr\ifodd #1 -2*#1-1\else2*#1+1\fi\relax }%
% the above gives (-1)^n/(2n+1). The sign being in the denominator,
@@ -3003,7 +3172,7 @@ was plaguing the |1.03| version. \footnote{with powers |x\string^k|,
\frac15\sum_{n=0}^{15} \frac{(-1)^n}{(2n+1)25^n}
= \xintFrac{\xintIrr {\xintDiv
{\xintPowerSeries {0}{15}{\coeffarctg}{\x}}{5}}}\]
-\end{verbatim}
+|
\def\coeffarctg #1{1/\the\numexpr\ifodd #1 -2*#1-1\else2*#1+1\fi\relax }%
\def\x {1/25[0]}% 1/5^2
\[\mathrm{Arctg}(\frac15)\approx
@@ -3031,7 +3200,7 @@ in token shuffling due to a very big fraction will not be avoided, but the far
worse cost of re-doing each time the computations leading to such a fraction
will be. The constraints of expandability make it impossible to encapsulate the
result of this initial computation in a macro and have the best of both worlds.
-\begin{verbatim}
+\dverb|&
\def\ratioexp #1#2{\xintDiv {#1}{#2}}% x/n
% These are the (-1)^{n-1}/n of the log(1+h) series:
\def\coefflog #1{\the\numexpr\ifodd #1 1\else-1\fi\relax/#1[0]}%
@@ -3047,7 +3216,7 @@ result of this initial computation in a macro and have the best of both worlds.
{1}}}\dots
\endgraf
\ifnum\cnta < 12 \advance \cnta 1 \repeat
-\end{verbatim}
+|
\cnta 0
\def\ratioexp #1#2{\xintDiv {#1}{#2}}% x/n
% These are the (-1)^{n-1}/n of the log(1+h) series
@@ -3112,7 +3281,7 @@ $\ApproxExp {\cnta}{20}$\\
\advance\cnta 1
\repeat\par
\end{multicols}
-\begin{verbatim}
+\dverb|&
\def\coeffexp #1{1/\xintFac {#1}[0]}% 1/n!
\def\x {-1/2[0]}% [0] for faster input parsing
\def\ApproxExp #1#2{\xintFxPtPowerSeries {0}{#1}{\coeffexp}{\x}{#2}}%
@@ -3125,7 +3294,7 @@ $\ApproxExp {\cnta}{20}$\\ % truncates 20 digits after decimal point
% effect is attenuated by the alternating signs in the series). We can
% confirm that the last two digits (of our evaluation of the nineteenth
% partial sum) are wrong via the evaluation with more digits:
-\end{verbatim}
+|
\centeredline{|\xintFxPtPowerSeries {0}{19}{\coeffexp}{\x}{25}=|
\xintFxPtPowerSeries {0}{19}{\coeffexp}{\x}{25}}
@@ -3171,7 +3340,7 @@ terms of their respective series. We will assume &|h|<0.5&. With only
ten terms kept in the power series we do not have quite 3 digits
precision as &2^10=1024&. So it wouldn't make sense to evaluate things
more precisely than, say circa 5 digits after the decimal points.
-\begin{verbatim}
+\dverb|&
\cnta 0
\def\coefflog #1{\the\numexpr\ifodd#1 1\else-1\fi\relax/#1[0]}% (-1)^{n-1}/n
\def\coeffalt #1{\the\numexpr\ifodd#1 -1\else1\fi\relax [0]}% (-1)^n
@@ -3182,7 +3351,7 @@ more precisely than, say circa 5 digits after the decimal points.
{\xintFxPtPowerSeriesX {1}{10}{\coeffalt}{\the\cnta [-2]}{5}}
{5}}\endgraf
\ifnum\cnta < 49 \advance\cnta 7 \repeat
-\end{verbatim}
+|
\cnta 0
\def\coefflog #1{\the\numexpr\ifodd#1 1\else-1\fi\relax/#1[0]}% (-1)^{n-1}/n
@@ -3207,7 +3376,7 @@ digits precision. So we compute with 6 digits
precision but return only 4 digits (rounded) after the decimal point.
This result with 4 post-decimal points precision is then used as input
to the next evaluation.
-\begin{verbatim}
+\dverb|&
\loop
\noindent \hbox to 2.5cm {\hss\texttt{D(\the\cnta/100): }}%
\xintRound{4}
@@ -3218,7 +3387,7 @@ to the next evaluation.
{6}}%
}\endgraf
\ifnum\cnta < 49 \advance\cnta 7 \repeat
-\end{verbatim}
+|
\begin{multicols}2
\loop
@@ -3284,7 +3453,7 @@ correct exact truncated one.
% 693147180559945309417232121458176568075500134360255254120680009493
-\begin{verbatim}
+\dverb|&
\def\coefflog #1{1/#1[0]}% 1/n
\def\xa {13/256[0]}% we will compute log(1-13/256)
\def\xb {1/9[0]}% we will compute log(1-1/9)
@@ -3312,7 +3481,7 @@ correct exact truncated one.
\noindent $\log 2 \approx \LogTwo {60}\dots$\endgraf
\noindent\phantom{$\log 2$}${}\approx{}$\printnumber{\LogTwo {65}}\dots\endgraf
\noindent\phantom{$\log 2$}${}\approx{}$\printnumber{\LogTwo {70}}\dots\endgraf
-\end{verbatim}
+|
\def\coefflog #1{1/#1[0]}% 1/n
\def\xa {13/256[0]}% we will compute log(1-13/256)
\def\xb {1/9[0]}% we will compute log(1-1/9)
@@ -3343,7 +3512,7 @@ first |D| digits, for all values from |D=0| to |D=100|, except in one
case (|D=40|) where the last digit is wrong. For values of |D|
higher than |100| it is more efficient to use the code using
\csa{xintFxPtPowerSeries}.
-\begin{verbatim}
+\dverb|&
\def\LogTwo #1% get log(2)=-2log(1-13/256)- 5log(1-1/9)
{%
\romannumeral0\expandafter\LogTwoDoIt \expandafter
@@ -3359,7 +3528,7 @@ higher than |100| it is more efficient to use the code using
{\xintMul {5}{\xintPowerSeries {1}{#1}{\coefflog}{\xb}}}%
}%
}%
-\end{verbatim}
+|
Let us turn now to Pi, computed with the Machin formula. Again the
numbers of terms to keep in the two |arctg| series were roughly estimated,
@@ -3372,7 +3541,7 @@ always gets better than |10^{-D}| precision, but again, strings of zeros or nine
encountered in the decimal expansion may falsify the ending digits,
nines may be zeros (and the last non-nine one should be increased) and
zeros may be nine (and the last non-zero one should be decreased).
-\begin{verbatim}
+\dverb|&
% pi = 16 Arctg(1/5) - 4 Arctg(1/239) (John Machin's formula)
\def\coeffarctg #1{\the\numexpr\ifodd#1 -1\else1\fi\relax/%
\the\numexpr 2*#1+1\relax [0]}%
@@ -3404,8 +3573,7 @@ zeros may be nine (and the last non-zero one should be decreased).
{\xintMul {4/239}{\xintFxPtPowerSeries {0}{#2}{\coeffarctg}{\xb}{#3}}}%
}}%
\[ \pi = \Machin {60}\dots \]
-\end{verbatim}
-\vspace*{-\baselineskip}
+|
\def\coeffarctg #1{\the\numexpr\ifodd#1 -1\else1\fi\relax/%
\the\numexpr 2*#1+1\relax [0]}%
%\def\coeffarctg #1{\romannumeral0\xintmon{#1}/\the\numexpr 2*#1+1\relax }%
@@ -3434,7 +3602,7 @@ Here is a variant|\MachinBis|,
which evaluates the partial sums \emph{exactly} using
\csa{xintPowerSeries}, before their final truncation. No need for a
``|+3|'' then.
-\begin{verbatim}
+\dverb|&
\def\MachinBis #1{% #1 may be a count register,
% the final result will be truncated to #1 digits post decimal point
\romannumeral0\expandafter\MachinBisA \expandafter
@@ -3450,7 +3618,7 @@ which evaluates the partial sums \emph{exactly} using
{\xintMul {16/5}{\xintPowerSeries {0}{#1}{\coeffarctg}{\xa}}}
{\xintMul{4/239}{\xintPowerSeries {0}{#2}{\coeffarctg}{\xb}}}%
}}%
-\end{verbatim}
+|
\def\MachinBis #1{% #1 may be a count register,
% the final result will be truncated to #1 digits post decimal point
@@ -3469,12 +3637,12 @@ which evaluates the partial sums \emph{exactly} using
}}%
Let us use this variant for a loop showing the build-up of digits:
-\begin{verbatim}
+\dverb|&
\cnta 0 % previously declared \count register
\loop
\MachinBis{\cnta} \endgraf % Plain's \loop does not accept \par
\ifnum\cnta < 30 \advance\cnta 1 \repeat
-\end{verbatim}
+|
\begin{multicols}{2}
\cnta 0 % previously declared \count register
\loop \noindent
@@ -3487,12 +3655,12 @@ Let us use this variant for a loop showing the build-up of digits:
You want more digits and have some time? Copy the |\Machin|
code to a Plain \TeX{} or \LaTeX{} document loading \xintseriesname, and
compile:
-\begin{verbatim}
+\dverb|&
\newwrite\outfile
\immediate\openout\outfile \jobname-out\relax
\immediate\write\outfile {\Machin {1000}}
\immediate\closeout\outfile
-\end{verbatim}
+|
This will create a file with the correct first 1000 digits of $\pi$
after the decimal point. On my laptop (a 2012 model) this took about 44
seconds last time I tried (and for 200 digits it is less than 1 second).
@@ -3726,20 +3894,20 @@ fraction for $\pi$:
\cfrac{4}{\xintGCFrac{\xintGCntoGC {5}{\an}{\bn}}} =
\xintTrunc {10}{\xintDiv {4}{\xintGCntoF {5}{\an}{\bn}}}\dots\]
was obtained with this code:
-\begin{verbatim}
+\dverb|&
\def\an #1{\the\numexpr 2*#1+1\relax }%
\def\bn #1{\the\numexpr (#1+1)*(#1+1)\relax }%
\[ \xintFrac{\xintDiv {4}{\xintGCntoF {5}{\an}{\bn}}} =
\cfrac{4}{\xintGCFrac{\xintGCntoGC {5}{\an}{\bn}}} =
\xintTrunc {10}{\xintDiv {4}{\xintGCntoF {5}{\an}{\bn}}}\dots\]
-\end{verbatim}
+|
We see that the quality of approximation is not fantastic compared to the simple
continued fraction of $\pi$ with about as many terms:
-\begin{verbatim}
+\dverb|&
\[ \xintFrac{\xintCstoF{3,7,15,1,292,1,1}}=
\xintGCFrac{3+1/7+1/15+1/1+1/292+1/1+1/1}=
\xintTrunc{10}{\xintCstoF{3,7,15,1,292,1,1}}\dots\]
-\end{verbatim}
+|
\[ \xintFrac{\xintCstoF{3,7,15,1,292,1,1}}=
\xintGCFrac{3+1/7+1/15+1/1+1/292+1/1+1/1}=
\xintTrunc{10}{\xintCstoF{3,7,15,1,292,1,1}}\dots\]
@@ -3747,7 +3915,7 @@ continued fraction of $\pi$ with about as many terms:
\hypertarget{e-convergents}{To}
conclude this overview of most of the package functionalities, let us explore
the convergents of Euler's number $e$.
-\begin{verbatim}
+\dverb|&
\def\cn #1{\the\numexpr\ifcase \numexpr #1+3-3*((#1+2)/3)\relax
1\or1\or2*(#1/3)\fi\relax }
% produces the pattern 1,1,2,1,1,4,1,1,6,1,1,8,... which are the
@@ -3760,7 +3928,7 @@ the convergents of Euler's number $e$.
\xintFrac{\xintAdd {1[0]}{#1}}$}%
\xintListWithSep{\vtop to 6pt{}\vbox to 12pt{}\par}
{\xintApply\mymacro{\xintiCstoCv{\xintCntoCs {35}{\cn}}}}
-\end{verbatim}
+|
\smallskip The volume of computation is kept minimal by the following steps:
\begin{itemize}
\item a comma separated list of the first 36 coefficients is produced by
@@ -3809,14 +3977,14 @@ convergent already gets 799 digits correct! To allow speedy compilation of the
source of this document when the need arises, I limit here to the 200th
convergent (getting the 500th took about 1.2s on my laptop last time I tried,
and the 200th convergent is obtained ten times faster).
-\begin{verbatim}
+\dverb|&
\edef\z {\xintCntoF {199}{\cn}}%
\begingroup\parindent 0pt \leftskip 2.5cm
\indent\llap {Numerator = }\printnumber{\xintNumerator\z}\par
\indent\llap {Denominator = }\printnumber{\xintDenominator\z}\par
\indent\llap {Expansion = }\printnumber{\xintTrunc{268}\z}\dots
\par\endgroup
-\end{verbatim}
+|
\edef\z {\xintCntoF {199}{\cn}}%
@@ -3981,19 +4149,19 @@ The output can then be used in \csb{xintGCFrac} for example.
the inline generalized continued fraction. Coefficients may be fractions but
must then be put within braces. They can be macros. The plus signs are
mandatory.
-\begin{verbatim}
+\dverb|&
\[\xintGCFrac {1+\xintPow{1.5}{3}/{1/7}+{-3/5}/\xintFac {6}} =
\xintFrac{\xintGCtoF {1+\xintPow{1.5}{3}/{1/7}+{-3/5}/\xintFac {6}}} =
\xintFrac{\xintIrr{\xintGCtoF
{1+\xintPow{1.5}{3}/{1/7}+{-3/5}/\xintFac {6}}}}\]
-\end{verbatim}
+|
\[\xintGCFrac {1+\xintPow{1.5}{3}/{1/7}+{-3/5}/\xintFac {6}} =
\xintFrac{\xintGCtoF {1+\xintPow{1.5}{3}/{1/7}+{-3/5}/\xintFac {6}}} =
\xintFrac{\xintIrr{\xintGCtoF {1+\xintPow{1.5}{3}/{1/7}+{-3/5}/\xintFac {6}}}}\]
-\begin{verbatim}
+\dverb|&
\[ \xintGCFrac{{1/2}+{2/3}/{4/5}+{1/2}/{1/5}+{3/2}/{5/3}} =
\xintFrac{\xintGCtoF {{1/2}+{2/3}/{4/5}+{1/2}/{1/5}+{3/2}/{5/3}}} \]
-\end{verbatim}
+|
\[ \xintGCFrac{{1/2}+{2/3}/{4/5}+{1/2}/{1/5}+{3/2}/{5/3}} =
\xintFrac{\xintGCtoF {{1/2}+{2/3}/{4/5}+{1/2}/{1/5}+{3/2}/{5/3}}} \]
The macro tries its best not to accumulate superfluous factor in the
@@ -4009,12 +4177,12 @@ then be inside braces. Or they may be macros, too.
The convergents will in the general case be reducible. To put them into
irreducible form, one needs one more step, for example it can be done
with |\xintApply\xintIrr|.
-\begin{verbatim}
+\dverb|&
\[\xintListWithSep{,}{\xintApply\xintFrac
{\xintGCtoCv{3+{-2}/{7/2}+{3/4}/12+{-56}/3}}}\]
\[\xintListWithSep{,}{\xintApply\xintFrac{\xintApply\xintIrr
{\xintGCtoCv{3+{-2}/{7/2}+{3/4}/12+{-56}/3}}}}\]
-\end{verbatim}
+|
\[\xintListWithSep{,}{\xintApply\xintFrac
{\xintGCtoCv{3+{-2}/{7/2}+{3/4}/12+{-56}/3}}}\]
\[\xintListWithSep{,}{\xintApply\xintFrac{\xintApply\xintIrr
@@ -4089,13 +4257,13 @@ fractions.
returns the corresponding |{a0}+{b0}/{a1}+{b1}/{a2}+...+{b(N-1)}/{aN}| inline
generalized fraction. |N| is givent to a |\numexpr|. As shown, the coefficients
are enclosed into added pairs of braces, and may thus be fractions.
-\begin{verbatim}
+\dverb|&
\def\an #1{\the\numexpr #1*#1*#1+1\relax}%
\def\bn #1{\the\numexpr \xintiMON{#1}*(#1+1)\relax}%
\texttt{\xintGCntoGC {5}{\an}{\bn}}%
${}=\xintGCFrac {\xintGCntoGC {5}{\an}{\bn}}
= \displaystyle\xintFrac {\xintGCntoF {5}{\an}{\bn}}$\par
-\end{verbatim}
+|
\def\an #1{\the\numexpr #1*#1*#1+1\relax}%
\def\bn #1{\the\numexpr \xintiMON{#1}*(#1+1)\relax}%
\noindent\texttt{\xintGCntoGC {5}{\an}{\bn}}%
@@ -4119,11 +4287,11 @@ hundreds of coefficients.
\csa{xintGCtoGC}|{a+b/c+d/e+f/g+......+v/w+x/y}| expands (with the usual
meaning) each one of the coefficients and returns an inline continued fraction
of the same type, each expanded coefficient being enclosed withing braces.
-\begin{verbatim}
+\dverb|&
\edef\x {\xintGCtoGC
{1+\xintPow{1.5}{3}/{1/7}+{-3/5}/\xintFac {6}+\xintCstoF {2,-7,-5}/16}}
\texttt{\meaning\x}
-\end{verbatim}
+|
\edef\x {\xintGCtoGC
{1+\xintPow{1.5}{3}/{1/7}+{-3/5}/\xintFac {6}+\xintCstoF {2,-7,-5}/16}}
\texttt{\meaning\x}
@@ -4131,23 +4299,22 @@ of the same type, each expanded coefficient being enclosed withing braces.
To be honest I have, it seems, forgotten why I wrote this macro in the
first place.
-
\catcode`\& 4
\makeatletter
-\let\check@percent\original@check@percent
\StopEventually{\end{document}\endinput}
\makeatother
-\newgeometry{hmarginratio=4:3,hscale=0.75}
-\def\MacroFont{\ttfamily\small\baselineskip12pt\relax}
+\newgeometry{hmarginratio=4:3,hscale=0.75}
+\def\MacroFont{\ttfamily\small\hyphenchar\font45
+ \baselineskip12pt\relax }
\MakePercentIgnore
%
% \catcode`\<=0 \catcode`\>=11 \catcode`\*=11 \catcode`\/=11
% \let</none>\relax
-% \def<*xint>{\catcode`\<=12 \catcode`\>=12 \catcode`\*=12 \catcode`\/=12}
+% \def<*xint>{\catcode`\<=12 \catcode`\>=12 \catcode`\*=12 \catcode`\/=12 }
%
%</none>
%<*xint>
@@ -4164,7 +4331,7 @@ first place.
%
% The method for catcodes was also inspired by these packages, we proceed
% slightly differently. |1.05| adds a |\relax| near the end of
-% |\XINT@restorecatcodes@endinput|. Plain TeX users following the doc
+% |\XINT_restorecatcodes_endinput|. Plain TeX users following the doc
% instruction to do |\input xint.sty\relax| were anyhow protected from any side
% effect. I didn't realize earlier that the |\endinput| would not have had the
% effect of stopping the scanning from the last |\the\catcode61|.
@@ -4173,6 +4340,11 @@ first place.
% because we replace everywhere in the code the twice-expansion done with
% |\expandafter| by the systematic use of |\romannumeral-`0|.
%
+% Starting with version |1.06b| I decide that I suffer from an indigestion of @
+% signs, so I replace them all with underscores |_|, \`a la \LaTeX 3. As this
+% change makes it a bit more difficult to access the few private macros which
+% were mentioned in the user documentation, I renamed them with only letters.
+%
% \begin{macrocode}
\begingroup\catcode61\catcode48\catcode32=10\relax%
\catcode13=5 % ^^M
@@ -4180,6 +4352,7 @@ first place.
\catcode123=1 % {
\catcode125=2 % }
\catcode64=11 % @
+ \catcode95=11 % _ (starting with 1.06b, used inside cs names)
\catcode35=6 % #
\catcode44=12 % ,
\catcode45=12 % -
@@ -4211,7 +4384,7 @@ first place.
\def\ChangeCatcodesIfInputNotAborted
{%
\endgroup
- \edef\XINT@restorecatcodes@endinput
+ \edef\XINT_restorecatcodes_endinput
{%
\catcode96=\the\catcode96 % `
\catcode47=\the\catcode47 % /
@@ -4226,7 +4399,7 @@ first place.
\catcode45=\the\catcode45 % -
\catcode44=\the\catcode44 % ,
\catcode35=\the\catcode35 % #
- \catcode64=\the\catcode64 % @
+ \catcode95=\the\catcode95 % _
\catcode125=\the\catcode125 % }
\catcode123=\the\catcode123 % {
\endlinechar=\the\endlinechar
@@ -4235,7 +4408,7 @@ first place.
\catcode61=\the\catcode61\relax % =
\noexpand\endinput
}%
- \def\XINT@setcatcodes
+ \def\XINT_setcatcodes
{%
\catcode61=12 % =
\catcode32=10 % space
@@ -4243,7 +4416,7 @@ first place.
\endlinechar=13 %
\catcode123=1 % {
\catcode125=2 % }
- \catcode64=11 % @
+ \catcode95=11 % _ (replaces @ everywhere, starting with 1.06b)
\catcode35=6 % #
\catcode44=12 % ,
\catcode45=12 % -
@@ -4258,7 +4431,7 @@ first place.
\catcode47=12 % /
\catcode96=12 % `
}%
- \XINT@setcatcodes
+ \XINT_setcatcodes
}%
\ChangeCatcodesIfInputNotAborted
% \end{macrocode}
@@ -4268,6 +4441,7 @@ first place.
%
% \begin{macrocode}
\begingroup
+ \catcode64=11 % @
\catcode91=12 % [
\catcode93=12 % ]
\catcode58=12 % : (does not really matter, was letter)
@@ -4289,500 +4463,516 @@ first place.
\fi
\expandafter\x\csname ver@xint.sty\endcsname
\ProvidesPackage{xint}%
- [2013/05/09 v1.06a Expandable operations on long numbers (jfB)]%
+ [2013/05/14 v1.06b Expandable operations on long numbers (jfB)]%
% \end{macrocode}
% \subsection{Token management macros}
% \begin{macrocode}
-\def\xint@gobble #1{}%
-\def\xint@gobble@ {}%
-\def\xint@gobble@i #1{}%
-\def\xint@gobble@ii #1#2{}%
-\def\xint@gobble@iii #1#2#3{}%
-\def\xint@gobble@iv #1#2#3#4{}%
-\def\xint@gobble@v #1#2#3#4#5{}%
-\def\xint@gobble@vi #1#2#3#4#5#6{}%
-\def\xint@gobble@vii #1#2#3#4#5#6#7{}%
-\def\xint@gobble@viii #1#2#3#4#5#6#7#8{}%
-\def\xint@firstoftwo #1#2{#1}%
-\def\xint@secondoftwo #1#2{#2}%
-\def\xint@firstoftwo@andstop #1#2{ #1}%
-\def\xint@secondoftwo@andstop #1#2{ #2}%
-\def\xint@exchangetwo@keepbraces@andstop #1#2{ {#2}{#1}}%
-\def\xint@minus@andstop { -}%
-\def\xint@r #1\R {}%
-\def\xint@w #1\W {}%
-\def\xint@z #1\Z {}%
-\def\xint@zero #10{}%
-\def\xint@one #11{}%
-\def\xint@minus #1-{}%
-\def\xint@relax #1\relax {}%
-\def\xint@quatrezeros #10000{}%
-\def\xint@bracedundef {\xint@undef }%
-\def\xint@UDzerofork #10\dummy #2#3\xint@UDkrof {#2}%
-\def\xint@UDsignfork #1-\dummy #2#3\xint@UDkrof {#2}%
-\def\xint@UDwfork #1\W\dummy #2#3\xint@UDkrof {#2}%
-\def\xint@UDzerosfork #100\dummy #2#3\xint@UDkrof {#2}%
-\def\xint@UDonezerofork #110\dummy #2#3\xint@UDkrof {#2}%
-\def\xint@UDzerominusfork #10-\dummy #2#3\xint@UDkrof {#2}%
-\def\xint@UDsignsfork #1--\dummy #2#3\xint@UDkrof {#2}%
-\def\xint@afterfi #1#2\fi {\fi #1}%
+\def\xint_gobble_ {}%
+\def\xint_gobble_i #1{}%
+\def\xint_gobble_ii #1#2{}%
+\def\xint_gobble_iii #1#2#3{}%
+\def\xint_gobble_iv #1#2#3#4{}%
+\def\xint_gobble_v #1#2#3#4#5{}%
+\def\xint_gobble_vi #1#2#3#4#5#6{}%
+\def\xint_gobble_vii #1#2#3#4#5#6#7{}%
+\def\xint_gobble_viii #1#2#3#4#5#6#7#8{}%
+\def\xint_firstoftwo #1#2{#1}%
+\def\xint_secondoftwo #1#2{#2}%
+\def\xint_firstoftwo_andstop #1#2{ #1}%
+\def\xint_secondoftwo_andstop #1#2{ #2}%
+\def\xint_exchangetwo_keepbraces_andstop #1#2{ {#2}{#1}}%
+\def\xint_minus_andstop { -}%
+\def\xint_gob_til_r #1\R {}%
+\def\xint_gob_til_w #1\W {}%
+\def\xint_gob_til_z #1\Z {}%
+\def\xint_gob_til_zero #10{}%
+\def\xint_gob_til_one #11{}%
+\def\xint_gob_til_zeros_iv #10000{}%
+\def\xint_gob_til_relax #1\relax {}%
+\def\xint_gob_til_xint_undef #1\xint_undef {}%
+\def\xint_gob_til_xint_relax #1\xint_relax {}%
+\def\xint_UDzerofork #10\dummy #2#3\krof {#2}%
+\def\xint_UDsignfork #1-\dummy #2#3\krof {#2}%
+\def\xint_UDwfork #1\W\dummy #2#3\krof {#2}%
+\def\xint_UDzerosfork #100\dummy #2#3\krof {#2}%
+\def\xint_UDonezerofork #110\dummy #2#3\krof {#2}%
+\def\xint_UDzerominusfork #10-\dummy #2#3\krof {#2}%
+\def\xint_UDsignsfork #1--\dummy #2#3\krof {#2}%
+\def\xint_afterfi #1#2\fi {\fi #1}%
+\let\xint_relax\relax
+\def\xint_braced_xint_relax {\xint_relax }%
% \end{macrocode}
% \subsection{\csh{xintRev}, \csh{xintReverseOrder}}
-% \begin{verbatim}
-% \xintRev: fait l'expansion avec \romannumeral-`0, vérifie le signe
-% \xintReverseOrder: ne fait PAS l'expansion, ne regarde PAS le signe.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% \xintRev: fait l'expansion avec \romannumeral-`0, vérifie le signe.$\
+% \xintReverseOrder: ne fait PAS l'expansion, ne regarde PAS le signe.|
% \begin{macrocode}
\def\xintRev {\romannumeral0\xintrev }%
\def\xintrev #1%
{%
- \expandafter\xint@rev\expandafter {\romannumeral-`0#1}%
-}%
-\def\xint@rev #1%
-{%
- \XINT@rev@fork #1\Z
-}%
-\def\XINT@rev@fork #1#2%
-{%
- \xint@UDsignfork
- #1\dummy \XINT@rev@negative
- -\dummy \XINT@rev@nonnegative
- \xint@UDkrof
- #1#2%
-}%
-\def\XINT@rev@negative #1#2\Z
-{%
- \expandafter\xint@minus@andstop\romannumeral0\XINT@rev {#2}%
+ \expandafter\XINT_rev_fork
+ \romannumeral-`0#1\xint_relax % empty #1 ok
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
}%
-\def\XINT@rev@nonnegative #1\Z
+\def\XINT_rev_fork #1%
{%
- \XINT@rev {#1}%
+ \xint_UDsignfork
+ #1\dummy {\expandafter\xint_minus_andstop
+ \romannumeral0\XINT_rord_main {}}%
+ -\dummy {\XINT_rord_main {}#1}%
+ \krof
}%
-\def\XINT@Rev {\romannumeral0\XINT@rev }%
-\let\xintReverseOrder \XINT@Rev
-\def\XINT@rev #1%
+\def\XINT_Rev {\romannumeral0\XINT_rev }%
+\def\xintReverseOrder {\romannumeral0\XINT_rev }%
+\def\XINT_rev #1%
{%
- \XINT@rord@main {}#1%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#1%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
}%
-\def\XINT@rord@main #1#2#3#4#5#6#7#8#9%
+\def\XINT_rord_main #1#2#3#4#5#6#7#8#9%
{%
- \XINT@strip@undef #9\XINT@rord@cleanup\xint@undef
- \XINT@rord@main {#9#8#7#6#5#4#3#2#1}%
+ \xint_gob_til_xint_undef #9\XINT_rord_cleanup\xint_undef
+ \XINT_rord_main {#9#8#7#6#5#4#3#2#1}%
}%
-\def\XINT@rord@cleanup\xint@undef\XINT@rord@main #1#2\xint@UNDEF
+\def\XINT_rord_cleanup\xint_undef\XINT_rord_main #1#2\xint_relax
{%
- \expandafter\space\XINT@strip@UNDEF #1%
+ \expandafter\space\xint_gob_til_xint_relax #1%
}%
-\def\XINT@strip@undef #1\xint@undef {}%
-\def\XINT@strip@UNDEF #1\xint@UNDEF {}%
% \end{macrocode}
% \subsection{\csh{xintRevWithBraces}}
-% \begin{verbatim}
-% New with 1.06. Makes the expansion of its argument and then reverses the
+% \lverb|New with 1.06. Makes the expansion of its argument and then reverses
+% the
% resulting tokens or braced tokens, adding a pair of braces to each (thus,
-% maintaining it when it was already there.)
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% maintaining it when it was already there.) |
% \begin{macrocode}
-\def\xintRevWithBraces {\romannumeral0\xintrevwithbraces }%
+\def\xintRevWithBraces {\romannumeral0\xintrevwithbraces }%
+\def\xintRevWithBracesNoExpand {\romannumeral0\xintrevwithbracesnoexpand }%
\def\xintrevwithbraces #1%
{%
- \expandafter\XINT@revwbr@prep\expandafter {\romannumeral-`0#1}%
+ \expandafter\XINT_revwbr_loop % #1 empty ok
+ \romannumeral-`0#1\xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z
}%
-\def\XINT@RWB {\romannumeral0\XINT@revwbr@prep }%
-\def\XINT@revwbr@prep #1%
+\def\xintrevwithbracesnoexpand #1%
{%
- \XINT@revwbr@loop
- {}#1\xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef\Z
+ \romannumeral0\XINT_revwbr_loop
+ #1\xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z
}%
-\def\XINT@revwbr@loop #1#2#3#4#5#6#7#8#9%
+\def\XINT_revwbr_loop #1#2#3#4#5#6#7#8#9%
{%
- \XINT@strip@undef #9\XINT@revwbr@finish@a\xint@undef
- \XINT@revwbr@loop {{#9}{#8}{#7}{#6}{#5}{#4}{#3}{#2}#1}%
+ \xint_gob_til_xint_relax #9\XINT_revwbr_finish_a\xint_relax
+ \XINT_revwbr_loop {{#9}{#8}{#7}{#6}{#5}{#4}{#3}{#2}#1}%
}%
-\def\XINT@revwbr@finish@a\xint@undef\XINT@revwbr@loop #1#2\Z
+\def\XINT_revwbr_finish_a\xint_relax\XINT_revwbr_loop #1#2\Z
{%
- \XINT@revwbr@finish@b #2\R\R\R\R\R\R\R\Z #1%
+ \XINT_revwbr_finish_b #2\R\R\R\R\R\R\R\Z #1%
}%
-\def\XINT@revwbr@finish@b #1#2#3#4#5#6#7#8\Z
+\def\XINT_revwbr_finish_b #1#2#3#4#5#6#7#8\Z
{%
- \xint@r #1\XINT@revwbr@finish@c 8%
- #2\XINT@revwbr@finish@c 7%
- #3\XINT@revwbr@finish@c 6%
- #4\XINT@revwbr@finish@c 5%
- #5\XINT@revwbr@finish@c 4%
- #6\XINT@revwbr@finish@c 3%
- #7\XINT@revwbr@finish@c 2%
- \R\XINT@revwbr@finish@c 1\Z
+ \xint_gob_til_r
+ #1\XINT_revwbr_finish_c 8%
+ #2\XINT_revwbr_finish_c 7%
+ #3\XINT_revwbr_finish_c 6%
+ #4\XINT_revwbr_finish_c 5%
+ #5\XINT_revwbr_finish_c 4%
+ #6\XINT_revwbr_finish_c 3%
+ #7\XINT_revwbr_finish_c 2%
+ \R\XINT_revwbr_finish_c 1\Z
}%
-\def\XINT@revwbr@finish@c #1#2\Z
+\def\XINT_revwbr_finish_c #1#2\Z
{%
\expandafter\expandafter\expandafter
\space
- \csname xint@gobble@\romannumeral #1\endcsname
+ \csname xint_gobble_\romannumeral #1\endcsname
}%
% \end{macrocode}
% \subsection{\csh{xintLen}, \csh{xintLength}}
-% \begin{verbatim}
-% \xintLen -> fait l'expansion, ne compte PAS le signe
-% \xintLength -> ne fait PAS l'expansion, compte le signe
-% 1.06: improved code is roughly 20% faster than the one from earlier versions.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% \xintLen -> fait l'expansion, ne compte PAS le signe.$\
+% \xintLength -> ne fait PAS l'expansion, compte le signe.$\
+% 1.06: improved code is roughly 20$% faster than the one from earlier
+% versions.|
% \begin{macrocode}
\def\xintiLen {\romannumeral0\xintilen }%
\def\xintilen #1%
{%
- \expandafter\XINT@len@prep\expandafter {\romannumeral-`0#1}%
+ \expandafter\XINT_length_fork
+ \romannumeral-`0#1\xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z
}%
\let\xintLen\xintiLen \let\xintlen\xintilen
-\def\XINT@Len {\romannumeral0\XINT@len@prep }%
-\def\XINT@len@prep #1%
+\def\XINT_Len #1%
{%
- \XINT@length@fork
- #1\xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef\Z
+ \romannumeral0\XINT_length_fork
+ #1\xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z
}%
-\def\XINT@length@fork #1%
+\def\XINT_length_fork #1%
{%
- \expandafter\XINT@length@loop
- \xint@UDsignfork
+ \expandafter\XINT_length_loop
+ \xint_UDsignfork
#1\dummy {{0}}%
-\dummy {{0}#1}%
- \xint@UDkrof
+ \krof
}%
-\def\XINT@Length {\romannumeral0\XINT@length }%
-\def\XINT@length #1%
+\def\XINT_Length {\romannumeral0\XINT_length }%
+\def\XINT_length #1%
{%
- \XINT@length@loop
- {0}#1\xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef\Z
+ \XINT_length_loop
+ {0}#1\xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z
}%
-\let\xintLength\XINT@Length
-\def\XINT@length@loop #1#2#3#4#5#6#7#8#9%
+\let\xintLength\XINT_Length
+\def\XINT_length_loop #1#2#3#4#5#6#7#8#9%
{%
- \XINT@strip@undef #9\XINT@length@finish@a\xint@undef
- \expandafter\XINT@length@loop\expandafter {\the\numexpr #1+8\relax}%
+ \xint_gob_til_xint_relax #9\XINT_length_finish_a\xint_relax
+ \expandafter\XINT_length_loop\expandafter {\the\numexpr #1+8\relax}%
}%
-\def\XINT@length@finish@a\xint@undef
- \expandafter\XINT@length@loop\expandafter #1#2\Z
+\def\XINT_length_finish_a\xint_relax
+ \expandafter\XINT_length_loop\expandafter #1#2\Z
{%
- \XINT@length@finish@b #2\W\W\W\W\W\W\W\Z {#1}%
+ \XINT_length_finish_b #2\W\W\W\W\W\W\W\Z {#1}%
}%
-\def\XINT@length@finish@b #1#2#3#4#5#6#7#8\Z
+\def\XINT_length_finish_b #1#2#3#4#5#6#7#8\Z
{%
- \xint@w #1\XINT@length@finish@c 8%
- #2\XINT@length@finish@c 7%
- #3\XINT@length@finish@c 6%
- #4\XINT@length@finish@c 5%
- #5\XINT@length@finish@c 4%
- #6\XINT@length@finish@c 3%
- #7\XINT@length@finish@c 2%
- \W\XINT@length@finish@c 1\Z
+ \xint_gob_til_w
+ #1\XINT_length_finish_c 8%
+ #2\XINT_length_finish_c 7%
+ #3\XINT_length_finish_c 6%
+ #4\XINT_length_finish_c 5%
+ #5\XINT_length_finish_c 4%
+ #6\XINT_length_finish_c 3%
+ #7\XINT_length_finish_c 2%
+ \W\XINT_length_finish_c 1\Z
}%
-\def\XINT@length@finish@c #1#2\Z #3{\expandafter\space\the\numexpr #3-#1\relax}%
+\def\XINT_length_finish_c #1#2\Z #3%
+ {\expandafter\space\the\numexpr #3-#1\relax}%
% \end{macrocode}
% \subsection{\csh{xintCSVtoList}}
-% \begin{verbatim}
+% \lverb|&
% \xintCSVtoList {a,b,..,z} returns {a}{b}...{z}. The comma separated list may
-% be a macro which is first expanded. Each chain of spaces is collapsed
-% into one space only.
-% First included in release 1.06.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% be a macro which is first expanded. Each chain of spaces from the initial
+% input will be collapsed as usual by the TeX initial scanning
+% First included in release 1.06.|
% \begin{macrocode}
\def\xintCSVtoList {\romannumeral0\xintcsvtolist }%
+% \def\xintCSVtoListNoExpand {\romannumeral0\xintcsvtolistnoexpand }%
\def\xintcsvtolist #1%
{%
- \expandafter\XINT@csvtol@prep\expandafter {\romannumeral-`0#1}%
-}%
-\def\XINT@CSVtoL {\romannumeral0\XINT@csvtol@prep }%
-\def\XINT@csvtol@prep #1%
-{%
- \XINT@csvtol@loop@a
- {}#1,\xint@undef,\xint@undef,\xint@undef,\xint@undef,%
- \xint@undef,\xint@undef,\xint@undef,\xint@undef,\Z
-}%
-\def\XINT@csvtol@loop@a #1#2,#3,#4,#5,#6,#7,#8,#9,%
-{%
- \XINT@strip@undef #9\XINT@csvtol@finish@a\xint@undef
- \XINT@csvtol@loop@b {#1}{{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9}}%
-}%
-\def\XINT@csvtol@loop@b #1#2{\XINT@csvtol@loop@a {#1#2}}%
-\def\XINT@csvtol@finish@a\xint@undef\XINT@csvtol@loop@b #1#2#3\Z
-{%
- \XINT@csvtol@finish@b #3\R,\R,\R,\R,\R,\R,\R,\Z #2{#1}%
-}%
-\def\XINT@csvtol@finish@b #1,#2,#3,#4,#5,#6,#7,#8\Z
-{%
- \xint@r #1\XINT@csvtol@finish@c 8%
- #2\XINT@csvtol@finish@c 7%
- #3\XINT@csvtol@finish@c 6%
- #4\XINT@csvtol@finish@c 5%
- #5\XINT@csvtol@finish@c 4%
- #6\XINT@csvtol@finish@c 3%
- #7\XINT@csvtol@finish@c 2%
- \R\XINT@csvtol@finish@c 1\Z
-}%
-\def\XINT@csvtol@finish@c #1#2\Z
-{%
- \csname XINT@csvtol@finish@d\romannumeral #1\endcsname
-}%
-\def\XINT@csvtol@finish@dviii #1#2#3#4#5#6#7#8#9{ #9}%
-\def\XINT@csvtol@finish@dvii #1#2#3#4#5#6#7#8#9{ #9{#1}}%
-\def\XINT@csvtol@finish@dvi #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}}%
-\def\XINT@csvtol@finish@dv #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}{#3}}%
-\def\XINT@csvtol@finish@div #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}{#3}{#4}}%
-\def\XINT@csvtol@finish@diii #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}{#3}{#4}{#5}}%
-\def\XINT@csvtol@finish@dii #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}{#3}{#4}{#5}{#6}}%
-\def\XINT@csvtol@finish@di #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}{#3}{#4}{#5}{#6}{#7}}%
+ \expandafter\XINT_csvtol_loop_a\expandafter
+ {\expandafter}\romannumeral-`0#1%
+ ,\xint_undef,\xint_undef,\xint_undef,\xint_undef
+ ,\xint_undef,\xint_undef,\xint_undef,\xint_undef,\Z
+}%
+% \def\xintcsvtolistnoexpand #1%
+% {%
+% \romannumeral0\XINT_csvtol_loop_a
+% {}#1,\xint_undef,\xint_undef,\xint_undef,\xint_undef
+% ,\xint_undef,\xint_undef,\xint_undef,\xint_undef,\Z
+% }%
+\def\XINT_csvtol_loop_a #1#2,#3,#4,#5,#6,#7,#8,#9,%
+{%
+ \xint_gob_til_xint_undef #9\XINT_csvtol_finish_a\xint_undef
+ \XINT_csvtol_loop_b {#1}{{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9}}%
+}%
+\def\XINT_csvtol_loop_b #1#2{\XINT_csvtol_loop_a {#1#2}}%
+\def\XINT_csvtol_finish_a\xint_undef\XINT_csvtol_loop_b #1#2#3\Z
+{%
+ \XINT_csvtol_finish_b #3\R,\R,\R,\R,\R,\R,\R,\Z #2{#1}%
+}%
+\def\XINT_csvtol_finish_b #1,#2,#3,#4,#5,#6,#7,#8\Z
+{%
+ \xint_gob_til_r
+ #1\XINT_csvtol_finish_c 8%
+ #2\XINT_csvtol_finish_c 7%
+ #3\XINT_csvtol_finish_c 6%
+ #4\XINT_csvtol_finish_c 5%
+ #5\XINT_csvtol_finish_c 4%
+ #6\XINT_csvtol_finish_c 3%
+ #7\XINT_csvtol_finish_c 2%
+ \R\XINT_csvtol_finish_c 1\Z
+}%
+\def\XINT_csvtol_finish_c #1#2\Z
+{%
+ \csname XINT_csvtol_finish_d\romannumeral #1\endcsname
+}%
+\def\XINT_csvtol_finish_dviii #1#2#3#4#5#6#7#8#9{ #9}%
+\def\XINT_csvtol_finish_dvii #1#2#3#4#5#6#7#8#9{ #9{#1}}%
+\def\XINT_csvtol_finish_dvi #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}}%
+\def\XINT_csvtol_finish_dv #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}{#3}}%
+\def\XINT_csvtol_finish_div #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}{#3}{#4}}%
+\def\XINT_csvtol_finish_diii #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}{#3}{#4}{#5}}%
+\def\XINT_csvtol_finish_dii #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}{#3}{#4}{#5}{#6}}%
+\def\XINT_csvtol_finish_di #1#2#3#4#5#6#7#8#9%
+ { #9{#1}{#2}{#3}{#4}{#5}{#6}{#7}}%
% \end{macrocode}
% \subsection{\csh{xintListWithSep}}
-% \begin{verbatim}
-% \xintListWithSep {sep}{{a}{b}...{z}} returns a sep b sep .... sep z
+% \lverb|&
+% \xintListWithSep {sep}{{a}{b}...{z}} returns a sep b sep .... sep z$\
% Included in release 1.04. The 'sep' can be \par's: the macro
% xintlistwithsep etc... are all declared long. 'sep' does not have to be a
% single token. The list may be a macro it is first expanded.
% 1.06 modifies the `feature' of returning sep if the list is empty: the output
% is now empty in that case. (sep was not used for a one element list, but
-% strangely it was for a zero-element list).
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% strangely it was for a zero-element list).|
% \begin{macrocode}
\def\xintListWithSep {\romannumeral0\xintlistwithsep }%
+% \def\xintListWithSepNoExpand {\romannumeral0\xintlistwithsepnoexpand }%
\long\def\xintlistwithsep #1#2%
+ {\expandafter\XINT_lws\expandafter {\romannumeral-`0#2}{#1}}%
+\long\def\XINT_lws #1#2{\XINT_lws_start {#2}#1\Z }%
+% \long\def\xintlistwithsepnoexpand #1#2%
+% {\romannumeral0\XINT_lws_start {#1}#2\Z }%
+\long\def\XINT_lws_start #1#2%
{%
- \expandafter\XINT@lws\expandafter {\romannumeral-`0#2}%
- {#1}%
+ \xint_gob_til_z #2\XINT_lws_dont\Z
+ \XINT_lws_loop_a {#2}{#1}%
}%
-\long\def\XINT@LWS #1#2{\romannumeral0\XINT@lws@start {#1}#2\Z }%
-\long\def\XINT@lws #1#2%
+\long\def\XINT_lws_dont\Z\XINT_lws_loop_a #1#2{ }%
+\long\def\XINT_lws_loop_a #1#2#3%
{%
- \XINT@lws@start {#2}#1\Z
+ \xint_gob_til_z #3\XINT_lws_end\Z
+ \XINT_lws_loop_b {#1}{#2#3}{#2}%
}%
-\long\def\XINT@lws@start #1#2%
-{%
- \xint@z #2\XINT@lws@dont\Z
- \XINT@lws@loop@a {#2}{#1}%
-}%
-\long\def\XINT@lws@dont\Z\XINT@lws@loop@a #1#2{ }%
-\long\def\XINT@lws@loop@a #1#2#3%
-{%
- \xint@z #3\XINT@lws@end\Z
- \XINT@lws@loop@b {#1}{#2#3}{#2}%
-}%
-\long\def\XINT@lws@loop@b #1#2{\XINT@lws@loop@a {#1#2}}%
-\long\def\XINT@lws@end\Z\XINT@lws@loop@b #1#2#3{ #1}%
+\long\def\XINT_lws_loop_b #1#2{\XINT_lws_loop_a {#1#2}}%
+\long\def\XINT_lws_end\Z\XINT_lws_loop_b #1#2#3{ #1}%
% \end{macrocode}
% \subsection{\csh{xintNthElt}}
-% \begin{verbatim}
+% \lverb|&
% \xintNthElt {i}{{a}{b}...{z}} (or `tokens' abcd...z) returns the i th
% element (one pair of braces removed). The list is first expanded.
% First included in release 1.06. With 1.06a, a value of i = 0 (or negative)
% makes the macro return the length. This is different from \xintLen which is
% for numbers (checks sign) and different from \xintLength which does not first
-% expand its argument.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% expand its argument.|
% \begin{macrocode}
-\def\xintNthElt {\romannumeral0\xintnthelt }%
+\def\xintNthElt {\romannumeral0\xintnthelt }%
+% \def\xintNthEltNoExpand {\romannumeral0\xintntheltnoexpand }%
\def\xintnthelt #1#2%
{%
- \expandafter\XINT@nthelt\expandafter {\romannumeral-`0#2}%
- {\numexpr #1\relax}%
+ \expandafter\XINT_nthelt\expandafter {\romannumeral-`0#2}%
+ {\numexpr #1\relax }%
}%
-\def\XINT@NthElt #1#2{\romannumeral0\XINT@nthelt {#2}{\numexpr #1\relax}}%
-\def\XINT@nthelt #1#2%
+% \def\xintntheltnoexpand #1#2%
+% {%
+% \romannumeral0\XINT_nthelt {#2}{\numexpr #1\relax}%
+% }%
+\def\XINT_nthelt #1#2%
{%
\ifnum #2>0
- \xint@afterfi {\XINT@nthelt@loop@a {#2}}%
+ \xint_afterfi {\XINT_nthelt_loop_a {#2}}%
\else
- \xint@afterfi {\XINT@length@loop {0}}%
- \fi #1\xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef\Z
+ \xint_afterfi {\XINT_length_loop {0}}%
+ \fi #1\xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z
}%
-\def\XINT@nthelt@loop@a #1%
+\def\XINT_nthelt_loop_a #1%
{%
\ifnum #1>8
- \expandafter\XINT@nthelt@loop@b
+ \expandafter\XINT_nthelt_loop_b
\else
- \expandafter\XINT@nthelt@getit
+ \expandafter\XINT_nthelt_getit
\fi
{#1}%
}%
-\def\XINT@nthelt@loop@b #1#2#3#4#5#6#7#8#9%
+\def\XINT_nthelt_loop_b #1#2#3#4#5#6#7#8#9%
{%
- \XINT@strip@undef #9\XINT@nthelt@silentend\xint@undef
- \expandafter\XINT@nthelt@loop@a\expandafter{\the\numexpr #1-8\relax}%
+ \xint_gob_til_xint_relax #9\XINT_nthelt_silentend\xint_relax
+ \expandafter\XINT_nthelt_loop_a\expandafter{\the\numexpr #1-8\relax}%
}%
-\def\XINT@nthelt@silentend #1\Z { }%
-\def\XINT@nthelt@getit #1%
+\def\XINT_nthelt_silentend #1\Z { }%
+\def\XINT_nthelt_getit #1%
{%
- \expandafter\expandafter\expandafter\XINT@nthelt@finish
- \csname xint@gobble@\romannumeral\numexpr#1-1\endcsname
+ \expandafter\expandafter\expandafter\XINT_nthelt_finish
+ \csname xint_gobble_\romannumeral\numexpr#1-1\endcsname
}%
-\def\XINT@nthelt@finish #1#2\Z
+\def\XINT_nthelt_finish #1#2\Z
{%
- \xint@UDwfork
+ \xint_UDwfork
#1\dummy { }%
\W\dummy { #1}%
- \xint@UDkrof
+ \krof
}%
% \end{macrocode}
% \subsection{\csh{xintApply}}
-% \begin{verbatim}
+% \lverb|&
% \xintApply {\macro}{{a}{b}...{z}} returns {\macro{a}}...{\macro{b}}
% where each instance of \macro is expanded. The list is first
-% expanded. Introduced with release 1.04.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% expanded. Introduced with release 1.04|
% \begin{macrocode}
-\def\xintApply {\romannumeral0\xintapply }%
+\def\xintApply {\romannumeral0\xintapply }%
+% \def\xintApplyNoExpand {\romannumeral0\xintapplynoexpand }%
\def\xintapply #1#2%
{%
- \expandafter\XINT@apply\expandafter {\romannumeral-`0#2}%
+ \expandafter\XINT_apply\expandafter {\romannumeral-`0#2}%
{#1}%
}%
-\def\XINT@Apply #1#2{\romannumeral0\XINT@apply@loop@a {}{#1}#2\Z }%
-\def\XINT@apply #1#2%
+\def\XINT_apply #1#2{\XINT_apply_loop_a {}{#2}#1\Z }%
+% \def\xintapplynoexpand #1#2{\romannumeral0\XINT_apply_loop_a {}{#1}#2\Z }%
+\def\XINT_apply_loop_a #1#2#3%
+{%
+ \xint_gob_til_z #3\XINT_apply_end\Z
+ \expandafter
+ \XINT_apply_loop_b
+ \expandafter {\romannumeral-`0#2{#3}}{#1}{#2}%
+}%
+\def\XINT_apply_loop_b #1#2{\XINT_apply_loop_a {#2{#1}}}%
+\def\XINT_apply_end\Z\expandafter\XINT_apply_loop_b\expandafter #1#2#3{ #2}%
+% \end{macrocode}
+% \subsection{\csh{xintApplyUnbraced}}
+% \lverb|&
+% \xintApplyUnbraced {\macro}{{a}{b}...{z}} returns \macro{a}...\macro{b}
+% where each instance of \macro is expanded using \romannumeral-`0. No braces
+% are added: this allows for example a non-expandable \def in \macro, without
+% having to do \gdef. The list is first expanded. Introduced with release 1.06b|
+% \begin{macrocode}
+\def\xintApplyUnbraced {\romannumeral0\xintapplyunbraced }%
+% \def\xintApplyUnbracedNoExpand {\romannumeral0\xintapplyunbracednoexpand }%
+\def\xintapplyunbraced #1#2%
{%
- \XINT@apply@loop@a {}{#2}#1\Z
+ \expandafter\XINT_applyunbr\expandafter {\romannumeral-`0#2}%
+ {#1}%
}%
-\def\XINT@apply@loop@a #1#2#3%
+\def\XINT_applyunbr #1#2{\XINT_applyunbr_loop_a {}{#2}#1\Z }%
+% \def\xintapplyunbracednoexpand #1#2%
+% {\romannumeral0\XINT_applyunbr_loop_a {}{#1}#2\Z }%
+\def\XINT_applyunbr_loop_a #1#2#3%
{%
- \xint@z #3\XINT@apply@end\Z
- \expandafter
- \XINT@apply@loop@b
+ \xint_gob_til_z #3\XINT_applyunbr_end\Z
+ \expandafter\XINT_applyunbr_loop_b
\expandafter {\romannumeral-`0#2{#3}}{#1}{#2}%
}%
-\def\XINT@apply@loop@b #1#2{\XINT@apply@loop@a {#2{#1}}}%
-\def\XINT@apply@end\Z\expandafter\XINT@apply@loop@b\expandafter #1#2#3{ #2}%
+\def\XINT_applyunbr_loop_b #1#2{\XINT_applyunbr_loop_a {#2#1}}%
+\def\XINT_applyunbr_end\Z
+ \expandafter\XINT_applyunbr_loop_b\expandafter #1#2#3{ #2}%
% \end{macrocode}
+%
% \subsection{\csh{xintAssign},~\csh{xintAssignArray},~\csh{xintDigitsOf}}
-% \begin{verbatim}
-% \xintAssign {a}{b}..{z}\to\A\B...\Z,
+% \lverb|&
+% \xintAssign {a}{b}..{z}\to\A\B...\Z,$\
% \xintAssignArray {a}{b}..{z}\to\U
+%
% version 1.01 corrects an oversight in 1.0 related to the value of
% \escapechar at the time of using \xintAssignArray or \xintRelaxArray
% These macros are an exception in the xint bundle, they do not care at
% all about compatibility with expansion-only contexts.
-% In version 1.05a I suddenly see some incongruous \expandafter's in
-% \XINT@assignarray@@@@end, which I remove.
+%
+% In version 1.05a I suddenly see some incongruous \expandafter's in (what is
+% called now) \XINT_assignarray_end_c, which I remove.
+%
% Release 1.06 modifies the macros created by \xintAssignArray to feed their
% argument to a \numexpr.
+%
% Release 1.06a detects an incredible typo in 1.01, (bad copy-paste from
% \xintRelaxArray) which caused \xintAssignArray to use #1 rather than the #2 as
% in the correct earlier 1.0 version!!! This went through undetected because
-% \xint@arrayname, although weird, was still usable: the probability to
+% \xint_arrayname, although weird, was still usable: the probability to
% overwrite something was almost zero. The bug got finally revealed doing
-% \xintAssignArray {}{}{}\to\Stuff.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \xintAssignArray {}{}{}\to\Stuff.
+%
+% With release 1.06b an empty argument (or expanding to empty) to
+% \xintAssignArray is ok.|
% \begin{macrocode}
\def\xintAssign #1\to
{%
- \expandafter\XINT@assign@a\romannumeral-`0#1{}\to
+ \expandafter\XINT_assign_a\romannumeral-`0#1{}\to
}%
-\def\XINT@assign@a #1% attention to the # at the beginning of next line
+\def\XINT_assign_a #1% attention to the # at the beginning of next line
#{%
- \def\xint@temp {#1}%
- \ifx\empty\xint@temp
- \expandafter\XINT@assign@b
+ \def\xint_temp {#1}%
+ \ifx\empty\xint_temp
+ \expandafter\XINT_assign_b
\else
- \expandafter\XINT@assign@B
+ \expandafter\XINT_assign_B
\fi
}%
-\def\XINT@assign@b #1#2\to #3%
+\def\XINT_assign_b #1#2\to #3%
{%
- \edef #3{#1}\def\xint@temp {#2}%
- \ifx\empty\xint@temp
+ \edef #3{#1}\def\xint_temp {#2}%
+ \ifx\empty\xint_temp
\else
- \xint@afterfi{\XINT@assign@a #2\to }%
+ \xint_afterfi{\XINT_assign_a #2\to }%
\fi
}%
-\def\XINT@assign@B #1\to #2%
+\def\XINT_assign_B #1\to #2%
{%
- \edef #2{\xint@temp}%
+ \edef #2{\xint_temp}%
}%
\def\xintRelaxArray #1%
{%
- \edef\XINT@restoreescapechar {\escapechar\the\escapechar\relax}%
+ \edef\XINT_restoreescapechar {\escapechar\the\escapechar\relax}%
\escapechar -1
- \edef\xint@arrayname {\string #1}%
- \XINT@restoreescapechar
- \expandafter\let\expandafter\xint@temp
- \csname\xint@arrayname 0\endcsname
+ \edef\xint_arrayname {\string #1}%
+ \XINT_restoreescapechar
+ \expandafter\let\expandafter\xint_temp
+ \csname\xint_arrayname 0\endcsname
\count 255 0
\loop
\global\expandafter\let
- \csname\xint@arrayname\the\count255\endcsname\relax
- \ifnum \count 255 < \xint@temp
+ \csname\xint_arrayname\the\count255\endcsname\relax
+ \ifnum \count 255 < \xint_temp
\advance\count 255 1
\repeat
- \global\expandafter\let\csname\xint@arrayname 00\endcsname\relax
+ \global\expandafter\let\csname\xint_arrayname 00\endcsname\relax
\global\let #1\relax
}%
-\def\xintAssignArray #1\to #2%
+\def\xintAssignArray #1\to #2% 1.06b: #1 may now be empty
{%
- \edef\XINT@restoreescapechar {\escapechar\the\escapechar\relax}%
+ \edef\XINT_restoreescapechar {\escapechar\the\escapechar\relax }%
\escapechar -1
- \edef\xint@arrayname {\string #2}% NOT #1! (amazing typo undetected during ages)
- \XINT@restoreescapechar
+ \edef\xint_arrayname {\string #2}%
+ \XINT_restoreescapechar
\count 255 0
- \expandafter
- \XINT@assignarray@loop \romannumeral-`0#1\xint@undef
- \csname\xint@arrayname 00\endcsname
- \csname\xint@arrayname 0\endcsname
- {\xint@arrayname}%
+ \expandafter\XINT_assignarray_loop \romannumeral-`0#1\xint_relax
+ \csname\xint_arrayname 00\endcsname
+ \csname\xint_arrayname 0\endcsname
+ {\xint_arrayname}%
#2%
}%
-\def\XINT@assignarray@loop #1%
+\def\XINT_assignarray_loop #1%
{%
- \def\xint@temp {#1}%
- \ifx\xint@bracedundef\xint@temp
- \edef\xint@temp{\the\count 255 }%
- \expandafter\let\csname\xint@arrayname0\endcsname\xint@temp
- \expandafter\XINT@assignarray@end
+ \def\xint_temp {#1}%
+ \ifx\xint_braced_xint_relax\xint_temp
+ \expandafter\edef\csname\xint_arrayname 0\endcsname{\the\count 255 }%
+ \expandafter\expandafter\expandafter\XINT_assignarray_end_a
\else
\advance\count 255 1
\expandafter\edef
- \csname\xint@arrayname\the\count 255\endcsname{\xint@temp}%
- \expandafter\XINT@assignarray@loop
+ \csname\xint_arrayname\the\count 255\endcsname{\xint_temp }%
+ \expandafter\XINT_assignarray_loop
\fi
}%
-\def\XINT@assignarray@end {\expandafter\XINT@assignarray@@end }%
-\def\XINT@assignarray@@end #1%
+\def\XINT_assignarray_end_a #1%
{%
- \expandafter\XINT@assignarray@@@end\expandafter #1%
+ \expandafter\XINT_assignarray_end_b\expandafter #1%
}%
-\def\XINT@assignarray@@@end #1#2#3%
+\def\XINT_assignarray_end_b #1#2#3%
{%
- \expandafter\XINT@assignarray@@@@end
- \expandafter #1\expandafter #2\expandafter{#3}%
+ \expandafter\XINT_assignarray_end_c
+ \expandafter #1\expandafter #2\expandafter {#3}%
}%
-\def\XINT@assignarray@@@@end #1#2#3#4%
+\def\XINT_assignarray_end_c #1#2#3#4%
{%
\def #4##1%
{%
- \romannumeral0%
- \expandafter #1\expandafter{\the\numexpr ##1}%
+ \romannumeral0\expandafter #1\expandafter{\the\numexpr ##1}%
}%
\def #1##1%
{%
\ifnum ##1< 0
- \xint@afterfi {\xintError:ArrayIndexIsNegative\space 0}%
+ \xint_afterfi {\xintError:ArrayIndexIsNegative\space 0}%
\else
- \xint@afterfi {%
+ \xint_afterfi {%
\ifnum ##1> #2
- \xint@afterfi {\xintError:ArrayIndexBeyondLimit\space 0}%
+ \xint_afterfi {\xintError:ArrayIndexBeyondLimit\space 0}%
\else
- \xint@afterfi
+ \xint_afterfi
{\expandafter\expandafter\expandafter
\space\csname #3##1\endcsname}%
\fi}%
@@ -4791,181 +4981,185 @@ first place.
}%
\let\xintDigitsOf\xintAssignArray
% \end{macrocode}
-% \subsection{\csh{XINT@RQ}}
-% \begin{verbatim}
+% \subsection{\csh{XINT\_RQ}}
+% \lverb|&
% cette macro renverse et ajoute le nombre minimal de zéros à
-% la fin pour que la longueur soit alors multiple de 4
-% \romannumeral0\XINT@RQ {}<le truc à renverser>\R\R\R\R\R\R\R\R\Z
+% la fin pour que la longueur soit alors multiple de 4$\
+% \romannumeral0\XINT_RQ {}<le truc à renverser>\R\R\R\R\R\R\R\R\Z$\
% Attention, ceci n'est utilisé que pour des chaînes de chiffres, et donc le
% comportement avec des {..} ou autres espaces n'a fait l'objet d'aucune
-% attention
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% attention |
% \begin{macrocode}
-\def\XINT@RQ #1#2#3#4#5#6#7#8#9%
+\def\XINT_RQ #1#2#3#4#5#6#7#8#9%
{%
- \xint@r #9\XINT@RQ@end\R\XINT@RQ {#9#8#7#6#5#4#3#2#1}%
+ \xint_gob_til_r #9\XINT_RQ_end_a\R\XINT_RQ {#9#8#7#6#5#4#3#2#1}%
}%
-\def\XINT@RQ@end\R\XINT@RQ #1#2\Z
+\def\XINT_RQ_end_a\R\XINT_RQ #1#2\Z
{%
- \XINT@RQ@end@ #1\Z
+ \XINT_RQ_end_b #1\Z
}%
-\def\XINT@RQ@end@ #1#2#3#4#5#6#7#8%
+\def\XINT_RQ_end_b #1#2#3#4#5#6#7#8%
{%
- \xint@r #8\XINT@RQ@end@viii
- #7\XINT@RQ@end@vii
- #6\XINT@RQ@end@vi
- #5\XINT@RQ@end@v
- #4\XINT@RQ@end@iv
- #3\XINT@RQ@end@iii
- #2\XINT@RQ@end@ii
- \R\XINT@RQ@end@i
+ \xint_gob_til_r
+ #8\XINT_RQ_end_viii
+ #7\XINT_RQ_end_vii
+ #6\XINT_RQ_end_vi
+ #5\XINT_RQ_end_v
+ #4\XINT_RQ_end_iv
+ #3\XINT_RQ_end_iii
+ #2\XINT_RQ_end_ii
+ \R\XINT_RQ_end_i
\Z #2#3#4#5#6#7#8%
}%
-\def\XINT@RQ@end@viii #1\Z #2#3#4#5#6#7#8#9\Z { #9}%
-\def\XINT@RQ@end@vii #1\Z #2#3#4#5#6#7#8#9\Z { #8#9000}%
-\def\XINT@RQ@end@vi #1\Z #2#3#4#5#6#7#8#9\Z { #7#8#900}%
-\def\XINT@RQ@end@v #1\Z #2#3#4#5#6#7#8#9\Z { #6#7#8#90}%
-\def\XINT@RQ@end@iv #1\Z #2#3#4#5#6#7#8#9\Z { #5#6#7#8#9}%
-\def\XINT@RQ@end@iii #1\Z #2#3#4#5#6#7#8#9\Z { #4#5#6#7#8#9000}%
-\def\XINT@RQ@end@ii #1\Z #2#3#4#5#6#7#8#9\Z { #3#4#5#6#7#8#900}%
-\def\XINT@RQ@end@i \Z #1#2#3#4#5#6#7#8\Z { #1#2#3#4#5#6#7#80}%
+\def\XINT_RQ_end_viii #1\Z #2#3#4#5#6#7#8#9\Z { #9}%
+\def\XINT_RQ_end_vii #1\Z #2#3#4#5#6#7#8#9\Z { #8#9000}%
+\def\XINT_RQ_end_vi #1\Z #2#3#4#5#6#7#8#9\Z { #7#8#900}%
+\def\XINT_RQ_end_v #1\Z #2#3#4#5#6#7#8#9\Z { #6#7#8#90}%
+\def\XINT_RQ_end_iv #1\Z #2#3#4#5#6#7#8#9\Z { #5#6#7#8#9}%
+\def\XINT_RQ_end_iii #1\Z #2#3#4#5#6#7#8#9\Z { #4#5#6#7#8#9000}%
+\def\XINT_RQ_end_ii #1\Z #2#3#4#5#6#7#8#9\Z { #3#4#5#6#7#8#900}%
+\def\XINT_RQ_end_i \Z #1#2#3#4#5#6#7#8\Z { #1#2#3#4#5#6#7#80}%
% \end{macrocode}
-% \subsection{\csh{XINT@cuz}}
+% \subsection{\csh{XINT\_cuz}}
% \begin{macrocode}
-\def\xint@cleanupzeros@andstop #1#2#3#4%
+\def\xint_cleanupzeros_andstop #1#2#3#4%
{%
\expandafter\space\the\numexpr #1#2#3#4\relax
}%
-\def\xint@cleanupzeros@nospace #1#2#3#4%
+\def\xint_cleanupzeros_nospace #1#2#3#4%
{%
\the\numexpr #1#2#3#4\relax
}%
-\def\XINT@rev@andcuz #1%
+\def\XINT_rev_andcuz #1%
{%
- \expandafter\xint@cleanupzeros@andstop
- \romannumeral0\XINT@rord@main {}#1%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \expandafter\xint_cleanupzeros_andstop
+ \romannumeral0\XINT_rord_main {}#1%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
+% \lverb|&
% routine CleanUpZeros. Utilisée en particulier par la
-% soustraction.
-% INPUT: longueur **multiple de 4** (<-- ATTENTION)
+% soustraction.$\
+% INPUT: longueur **multiple de 4** (<-- ATTENTION)$\
% OUTPUT: on a retiré tous les leading zéros, on n'est **plus*
-% nécessairement de longueur 4n
-% Délimiteur pour @main: \W\W\W\W\W\W\W\Z avec SEPT \W
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% nécessairement de longueur 4n$\
+% Délimiteur pour _main: \W\W\W\W\W\W\W\Z avec SEPT \W|
% \begin{macrocode}
-\def\XINT@cuz #1%
+\def\XINT_cuz #1%
{%
- \XINT@cuz@loop #1\W\W\W\W\W\W\W\Z%
+ \XINT_cuz_loop #1\W\W\W\W\W\W\W\Z%
}%
-\def\XINT@cuz@loop #1#2#3#4#5#6#7#8%
+\def\XINT_cuz_loop #1#2#3#4#5#6#7#8%
{%
- \xint@w #8\xint@cuz@enda\W
- \xint@z #8\xint@cuz@endb\Z
- \XINT@cuz@checka {#1#2#3#4#5#6#7#8}%
+ \xint_gob_til_w #8\xint_cuz_end_a\W
+ \xint_gob_til_z #8\xint_cuz_end_A\Z
+ \XINT_cuz_check_a {#1#2#3#4#5#6#7#8}%
}%
-\def\xint@cuz@enda #1\XINT@cuz@checka #2%
+\def\xint_cuz_end_a #1\XINT_cuz_check_a #2%
{%
- \xint@cuz@endaa #2%
+ \xint_cuz_end_b #2%
}%
-\def\xint@cuz@endaa #1#2#3#4#5\Z
+\def\xint_cuz_end_b #1#2#3#4#5\Z
{%
\expandafter\space\the\numexpr #1#2#3#4\relax
}%
-\def\xint@cuz@endb\Z\XINT@cuz@checka #1{ 0}%
-\def\XINT@cuz@checka #1%
+\def\xint_cuz_end_A \Z\XINT_cuz_check_a #1{ 0}%
+\def\XINT_cuz_check_a #1%
{%
- \expandafter \XINT@cuz@checkb \the\numexpr #1\relax
+ \expandafter\XINT_cuz_check_b\the\numexpr #1\relax
}%
-\def\XINT@cuz@checkb #1%
+\def\XINT_cuz_check_b #1%
{%
- \xint@zero #1\xint@cuz@backtoloop 0\XINT@cuz@Stop #1%
+ \xint_gob_til_zero #1\xint_cuz_backtoloop 0\XINT_cuz_stop #1%
}%
-\def\XINT@cuz@Stop #1\W #2\Z{ #1}%
-\def\xint@cuz@backtoloop 0\XINT@cuz@Stop 0{\XINT@cuz@loop }%
+\def\XINT_cuz_stop #1\W #2\Z{ #1}%
+\def\xint_cuz_backtoloop 0\XINT_cuz_stop 0{\XINT_cuz_loop }%
% \end{macrocode}
-% \subsection{\csh{XINT@isOne}}
-% Added in |1.03|. Attention: does not do any expansion.
+% \subsection{\csh{XINT\_isOne}}
+% \lverb|&
+% Added in 1.03. Attention: does not do any expansion.|
% \begin{macrocode}
-\def\XINT@isOne #1{\romannumeral0\XINT@isone #1\W\Z }%
-\def\XINT@isone #1#2%
+\def\XINT_isOne #1{\romannumeral0\XINT_isone #1\W\Z }%
+\def\XINT_isone #1#2%
{%
- \xint@one #1\XINT@isone@b 1\expandafter\space\expandafter 0\xint@z #2%
+ \xint_gob_til_one #1\XINT_isone_b 1%
+ \expandafter\space\expandafter 0\xint_gob_til_z #2%
}%
-\def\XINT@isone@b #1\xint@z #2%
+\def\XINT_isone_b #1\xint_gob_til_z #2%
{%
- \xint@w #2\XINT@isone@yes\W\expandafter\space\expandafter 0\xint@z
+ \xint_gob_til_w #2\XINT_isone_yes \W
+ \expandafter\space\expandafter 0\xint_gob_til_z
}%
-\def\XINT@isone@yes #1\Z{ 1}%
+\def\XINT_isone_yes #1\Z { 1}%
% \end{macrocode}
% \subsection{\csh{xintNum}}
-% \begin{verbatim}
-% For example \xintNum {----+-+++---+----000000000000003}
+% \lverb|&
+% For example \xintNum {----+-+++---+----000000000000003}$\
% 1.05 defines \xintiNum, which allows redefinition of \xintNum by xintfrac.sty
-% \end{verbatim}
+% Slightly modified in 1.06b (\R->\xint_relax) to avoid initial re-scan of
+% input stack (while still allowing empty #1)|
% \begin{macrocode}
\def\xintiNum {\romannumeral0\xintinum }%
\def\xintinum #1%
{%
- \expandafter\XINT@num\expandafter {\romannumeral-`0#1}%
+ \expandafter\XINT_num_loop
+ \romannumeral-`0#1\xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z
}%
\let\xintNum\xintiNum \let\xintnum\xintinum
-\def\XINT@Num {\romannumeral0\XINT@num }%
-\def\XINT@num #1{\XINT@num@loop #1\R\R\R\R\R\R\R\R\Z }%
-\def\XINT@num@loop #1#2#3#4#5#6#7#8%
+\def\XINT_num #1%
+{%
+ \XINT_num_loop #1\xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z
+}%
+\def\XINT_num_loop #1#2#3#4#5#6#7#8%
{%
- \xint@r #8\XINT@num@end\R\XINT@num@NumEight #1#2#3#4#5#6#7#8%
+ \xint_gob_til_xint_relax #8\XINT_num_end\xint_relax
+ \XINT_num_NumEight #1#2#3#4#5#6#7#8%
}%
-\def\XINT@num@end\R\XINT@num@NumEight #1\R #2\Z
+\def\XINT_num_end\xint_relax\XINT_num_NumEight #1\xint_relax #2\Z
{%
\expandafter\space\the\numexpr #1+0\relax
}%
-\def\XINT@num@NumEight #1#2#3#4#5#6#7#8%
+\def\XINT_num_NumEight #1#2#3#4#5#6#7#8%
{%
- \ifnum \numexpr #1#2#3#4#5#6#7#8+0\relax = 0
- \xint@afterfi {\expandafter\XINT@num@keepsign@a
+ \ifnum \numexpr #1#2#3#4#5#6#7#8+0= 0
+ \xint_afterfi {\expandafter\XINT_num_keepsign_a
\the\numexpr #1#2#3#4#5#6#7#81\relax}%
\else
- \xint@afterfi {\expandafter\XINT@num@finish
+ \xint_afterfi {\expandafter\XINT_num_finish
\the\numexpr #1#2#3#4#5#6#7#8\relax}%
\fi
}%
-\def\XINT@num@keepsign@a #1%
+\def\XINT_num_keepsign_a #1%
{%
- \xint@one#1\XINT@num@gobacktoloop 1\XINT@num@keepsign@b
+ \xint_gob_til_one#1\XINT_num_gobacktoloop 1\XINT_num_keepsign_b
}%
-\def\XINT@num@gobacktoloop 1\XINT@num@keepsign@b {\XINT@num@loop }%
-\def\XINT@num@keepsign@b #1{\XINT@num@loop -}%
-\def\XINT@num@finish #1\R #2\Z { #1}%
+\def\XINT_num_gobacktoloop 1\XINT_num_keepsign_b {\XINT_num_loop }%
+\def\XINT_num_keepsign_b #1{\XINT_num_loop -}%
+\def\XINT_num_finish #1\xint_relax #2\Z { #1}%
% \end{macrocode}
% \subsection{\csh{xintSgn}}
-% \begin{verbatim}
-% Changed in 1.05. Earlier code was unnecessarily strange.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% Changed in 1.05. Earlier code was unnecessarily strange.|
% \begin{macrocode}
\def\xintiSgn {\romannumeral0\xintisgn }%
\def\xintisgn #1%
{%
- \expandafter\XINT@sgn \romannumeral-`0#1\Z%
+ \expandafter\XINT_sgn \romannumeral-`0#1\Z%
}%
\let\xintSgn\xintiSgn \let\xintsgn\xintisgn
-\def\XINT@Sgn #1{\romannumeral0\XINT@sgn #1\Z }%
-\def\XINT@sgn #1#2\Z
+\def\XINT_Sgn #1{\romannumeral0\XINT_sgn #1\Z }%
+\def\XINT_sgn #1#2\Z
{%
- \xint@UDzerominusfork
+ \xint_UDzerominusfork
#1-\dummy { 0}%
0#1\dummy { -1}%
0-\dummy { 1}%
- \xint@UDkrof
+ \krof
}%
% \end{macrocode}
% \subsection{\csh{xintOpp}}
@@ -4973,17 +5167,17 @@ first place.
\def\xintiOpp {\romannumeral0\xintiopp }%
\def\xintiopp #1%
{%
- \expandafter\XINT@opp \romannumeral-`0#1%
+ \expandafter\XINT_opp \romannumeral-`0#1%
}%
\let\xintOpp\xintiOpp \let\xintopp\xintiopp
-\def\XINT@Opp #1{\romannumeral0\XINT@opp #1}%
-\def\XINT@opp #1%
+\def\XINT_Opp #1{\romannumeral0\XINT_opp #1}%
+\def\XINT_opp #1%
{%
- \xint@UDzerominusfork
+ \xint_UDzerominusfork
#1-\dummy { 0}% zero
0#1\dummy { }% negative
0-\dummy { -#1}% positive
- \xint@UDkrof
+ \krof
}%
% \end{macrocode}
% \subsection{\csh{xintAbs}}
@@ -4991,22 +5185,22 @@ first place.
\def\xintiAbs {\romannumeral0\xintiabs }%
\def\xintiabs #1%
{%
- \expandafter\XINT@abs \romannumeral-`0#1%
+ \expandafter\XINT_abs \romannumeral-`0#1%
}%
\let\xintAbs\xintiAbs \let\xintabs\xintiabs
-\def\XINT@Abs #1{\romannumeral0\XINT@abs #1}%
-\def\XINT@abs #1%
+\def\XINT_Abs #1{\romannumeral0\XINT_abs #1}%
+\def\XINT_abs #1%
{%
- \xint@UDsignfork
+ \xint_UDsignfork
#1\dummy { }%
-\dummy { #1}%
- \xint@UDkrof
+ \krof
}%
% \end{macrocode}
-% \begin{verbatim}
-%-----------------------------------------------------------------
-%-----------------------------------------------------------------
-% ARITHMETIC OPERATIONS: ADDITION, SUBTRACTION, SUMS,
+% \lverb|&
+% -----------------------------------------------------------------$\
+% -----------------------------------------------------------------$\
+% ARITHMETIC OPERATIONS: ADDITION, SUBTRACTION, SUMS,
% MULTIPLICATION, PRODUCTS, FACTORIAL, POWERS, EUCLIDEAN DIVISION.
%
% Release 1.03 re-organizes sub-routines to facilitate future developments: the
@@ -5015,494 +5209,469 @@ first place.
% the power routines. I am aware that the commenting is close to non-existent,
% sorry about that.
%
-% ADDITION
-% I: \XINT@add@A
-% INPUT:
-% \romannumeral0\XINT@add@A 0{}<N1>\W\X\Y\Z <N2>\W\X\Y\Z
-% 1. <N1> et <N2> renversés
-% 2. de longueur 4n (avec des leading zéros éventuels)
-% 3. l'un des deux ne doit pas se terminer par 0000
+% ADDITION I: \XINT_add_A
+%
+% INPUT:$\
+% \romannumeral0\XINT_add_A 0{}<N1>\W\X\Y\Z <N2>\W\X\Y\Z$\
+% 1. <N1> et <N2> renversés $\
+% 2. de longueur 4n (avec des leading zéros éventuels)$\
+% 3. l'un des deux ne doit pas se terminer par 0000$\$relax
% [Donc on peut avoir 0000 comme input si l'autre est >0 et ne se termine pas en
% 0000 bien sûr]. On peut avoir l'un des deux vides. Mais alors l'autre ne doit
% être ni vide ni 0000.
-% OUTPUT: la somme <N1>+<N2>, order normal, plus sur 4n, pas de leading zeros
-% La procédure est plus rapide lorsque <N1> est le plus court des deux.
+%
+% OUTPUT: la somme <N1>+<N2>, ordre normal, plus sur 4n, pas de leading zeros
+% La procédure est plus rapide lorsque <N1> est le plus court des deux.$\
% Nota bene: (30 avril 2013). J'ai une version qui est deux fois plus rapide sur
% des nombres d'environ 1000 chiffres chacun, et qui commence à être avantageuse
% pour des nombres d'au moins 200 chiffres. Cependant il serait vraiment
% compliqué d'en étendre l'utilisation aux emplois de l'addition dans les
% autres routines, comme celle de multiplication ou celle de division; et son
-% implémentation ajouterait au minimum la mesure de la longueur des summands.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% implémentation ajouterait au minimum la mesure de la longueur des summands.|
% \begin{macrocode}
-\def\XINT@add@A #1#2#3#4#5#6%
+\def\XINT_add_A #1#2#3#4#5#6%
{%
- \xint@w #3\xint@add@az\W\XINT@add@AB #1{#3#4#5#6}{#2}%
+ \xint_gob_til_w #3\xint_add_az\W
+ \XINT_add_AB #1{#3#4#5#6}{#2}%
}%
-\def\xint@add@az\W\XINT@add@AB #1#2%
+\def\xint_add_az\W\XINT_add_AB #1#2%
{%
- \XINT@add@AC@checkcarry #1%
+ \XINT_add_AC_checkcarry #1%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% ici #2 est prévu pour l'addition, mais attention il devra être renversé pour
-% \numexpr. #3 = résultat partiel. #4 = chiffres qui restent. On vérifie si le
-% deuxième nombre s'arrête.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% ici #2 est prévu pour l'addition, mais attention il devra être renversé
+% pour \numexpr. #3 = résultat partiel. #4 = chiffres qui restent. On vérifie si
+% le deuxième nombre s'arrête.|
% \begin{macrocode}
-\def\XINT@add@AB #1#2#3#4\W\X\Y\Z #5#6#7#8%
+\def\XINT_add_AB #1#2#3#4\W\X\Y\Z #5#6#7#8%
{%
- \xint@w #5\xint@add@bz\W
- \XINT@add@ABE #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
+ \xint_gob_til_w #5\xint_add_bz\W
+ \XINT_add_ABE #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
}%
-\def\XINT@add@ABE #1#2#3#4#5#6%
+\def\XINT_add_ABE #1#2#3#4#5#6%
{%
- \expandafter\XINT@add@ABEA\the\numexpr #1+10#5#4#3#2+#6\relax.%
+ \expandafter\XINT_add_ABEA\the\numexpr #1+10#5#4#3#2+#6\relax.%
}%
-\def\XINT@add@ABEA #1#2#3.#4%
+\def\XINT_add_ABEA #1#2#3.#4%
{%
- \XINT@add@A #2{#3#4}%
+ \XINT_add_A #2{#3#4}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
+% \lverb|&
% ici le deuxième nombre est fini
-% #6 part à la poubelle, #2#3#4#5 est le #2 dans \XINT@add@AB
-% on ne vérifie pas la retenue cette fois, mais les fois suivantes
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% #6 part à la poubelle, #2#3#4#5 est le #2 dans \XINT_add_AB
+% on ne vérifie pas la retenue cette fois, mais les fois suivantes|
% \begin{macrocode}
-\def\xint@add@bz\W\XINT@add@ABE #1#2#3#4#5#6%
+\def\xint_add_bz\W\XINT_add_ABE #1#2#3#4#5#6%
{%
- \expandafter\XINT@add@CC\the\numexpr #1+10#5#4#3#2\relax.%
+ \expandafter\XINT_add_CC\the\numexpr #1+10#5#4#3#2\relax.%
}%
-\def\XINT@add@CC #1#2#3.#4%
+\def\XINT_add_CC #1#2#3.#4%
{%
- \XINT@add@AC@checkcarry #2{#3#4}% on va examiner et \'eliminer #2
+ \XINT_add_AC_checkcarry #2{#3#4}% on va examiner et \'eliminer #2
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
+% \lverb|&
% retenue plus chiffres qui restent de l'un des deux nombres.
% #2 = résultat partiel
-% #3#4#5#6 = summand, avec plus significatif à droite
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% #3#4#5#6 = summand, avec plus significatif à droite|
% \begin{macrocode}
-\def\XINT@add@AC@checkcarry #1%
+\def\XINT_add_AC_checkcarry #1%
{%
- \xint@zero #1\xint@add@AC@nocarry 0\XINT@add@C
+ \xint_gob_til_zero #1\xint_add_AC_nocarry 0\XINT_add_C
}%
-\def\xint@add@AC@nocarry 0\XINT@add@C #1#2\W\X\Y\Z
+\def\xint_add_AC_nocarry 0\XINT_add_C #1#2\W\X\Y\Z
{%
\expandafter
- \xint@cleanupzeros@andstop
+ \xint_cleanupzeros_andstop
\romannumeral0%
- \XINT@rord@main {}#2%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#2%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
#1%
}%
-\def\XINT@add@C #1#2#3#4#5%
+\def\XINT_add_C #1#2#3#4#5%
{%
- \xint@w #2\xint@add@cz\W\XINT@add@CD {#5#4#3#2}{#1}%q
+ \xint_gob_til_w #2\xint_add_cz\W
+ \XINT_add_CD {#5#4#3#2}{#1}%
}%
-\def\XINT@add@CD #1%
+\def\XINT_add_CD #1%
{%
- \expandafter\XINT@add@CC\the\numexpr 1+10#1\relax.%
+ \expandafter\XINT_add_CC\the\numexpr 1+10#1\relax.%
}%
-\def\xint@add@cz\W\XINT@add@CD #1#2{ 1#2}%
+\def\xint_add_cz\W\XINT_add_CD #1#2{ 1#2}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% Addition II: \XINT@addr@A.
-% INPUT:
-% \romannumeral0\XINT@addr@A 0{}<N1>\W\X\Y\Z <N2>\W\X\Y\Z
-% Comme \XINT@add@A, la différence principale c'est qu'elle donne son résultat
+% \lverb|Addition II: \XINT_addr_A.$\
+% INPUT: \romannumeral0\XINT_addr_A 0{}<N1>\W\X\Y\Z <N2>\W\X\Y\Z
+%
+% Comme \XINT_add_A, la différence principale c'est qu'elle donne son résultat
% aussi *sur 4n*, renversé. De plus cette variante accepte que l'un ou même les
-% deux inputs soient vides.
-% Utilisé par la sommation et par la division (pour les quotients). Et aussi
-% par la multiplication d'ailleurs.
-% INPUT: comme pour \XINT@add@A
-% 1. <N1> et <N2> renversés
-% 2. de longueur 4n (avec des leading zéros éventuels)
-% 3. l'un des deux ne doit pas se terminer par 0000
-% OUTPUT: la somme <N1>+<N2>, *aussi renversée* et *sur 4n*
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% deux inputs soient vides. Utilisé par la sommation et par la division (pour
+% les quotients). Et aussi par la multiplication d'ailleurs.$\
+% INPUT: comme pour \XINT_add_A$\
+% 1. <N1> et <N2> renversés $\
+% 2. de longueur 4n (avec des leading zéros éventuels)$\
+% 3. l'un des deux ne doit pas se terminer par 0000$\
+% OUTPUT: la somme <N1>+<N2>, *aussi renversée* et *sur 4n*|
% \begin{macrocode}
-\def\XINT@addr@A #1#2#3#4#5#6%
+\def\XINT_addr_A #1#2#3#4#5#6%
{%
- \xint@w #3\xint@addr@az\W\XINT@addr@B #1{#3#4#5#6}{#2}%
+ \xint_gob_til_w #3\xint_addr_az\W
+ \XINT_addr_B #1{#3#4#5#6}{#2}%
}%
-\def\xint@addr@az\W\XINT@addr@B #1#2%
+\def\xint_addr_az\W\XINT_addr_B #1#2%
{%
- \XINT@addr@AC@checkcarry #1%
+ \XINT_addr_AC_checkcarry #1%
}%
-\def\XINT@addr@B #1#2#3#4\W\X\Y\Z #5#6#7#8%
+\def\XINT_addr_B #1#2#3#4\W\X\Y\Z #5#6#7#8%
{%
- \xint@w #5\xint@addr@bz\W\XINT@addr@E #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
+ \xint_gob_til_w #5\xint_addr_bz\W
+ \XINT_addr_E #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
}%
-\def\XINT@addr@E #1#2#3#4#5#6%
+\def\XINT_addr_E #1#2#3#4#5#6%
{%
- \expandafter\XINT@addr@ABEA\the\numexpr #1+10#5#4#3#2+#6\relax
+ \expandafter\XINT_addr_ABEA\the\numexpr #1+10#5#4#3#2+#6\relax
}%
-\def\XINT@addr@ABEA #1#2#3#4#5#6#7%
+\def\XINT_addr_ABEA #1#2#3#4#5#6#7%
{%
- \XINT@addr@A #2{#7#6#5#4#3}%
+ \XINT_addr_A #2{#7#6#5#4#3}%
}%
-\def\xint@addr@bz\W\XINT@addr@E #1#2#3#4#5#6%
+\def\xint_addr_bz\W\XINT_addr_E #1#2#3#4#5#6%
{%
- \expandafter\XINT@addr@CC\the\numexpr #1+10#5#4#3#2\relax
+ \expandafter\XINT_addr_CC\the\numexpr #1+10#5#4#3#2\relax
}%
-\def\XINT@addr@CC #1#2#3#4#5#6#7%
+\def\XINT_addr_CC #1#2#3#4#5#6#7%
{%
- \XINT@addr@AC@checkcarry #2{#7#6#5#4#3}%
+ \XINT_addr_AC_checkcarry #2{#7#6#5#4#3}%
}%
-\def\XINT@addr@AC@checkcarry #1%
+\def\XINT_addr_AC_checkcarry #1%
{%
- \xint@zero #1\xint@addr@AC@nocarry 0\XINT@addr@C
+ \xint_gob_til_zero #1\xint_addr_AC_nocarry 0\XINT_addr_C
}%
-\def\xint@addr@AC@nocarry 0\XINT@addr@C #1#2\W\X\Y\Z { #1#2}%
-\def\XINT@addr@C #1#2#3#4#5%
+\def\xint_addr_AC_nocarry 0\XINT_addr_C #1#2\W\X\Y\Z { #1#2}%
+\def\XINT_addr_C #1#2#3#4#5%
{%
- \xint@w #2\xint@addr@cz\W\XINT@addr@D {#5#4#3#2}{#1}%
+ \xint_gob_til_w #2\xint_addr_cz\W
+ \XINT_addr_D {#5#4#3#2}{#1}%
}%
-\def\XINT@addr@D #1%
+\def\XINT_addr_D #1%
{%
- \expandafter\XINT@addr@CC\the\numexpr 1+10#1\relax
+ \expandafter\XINT_addr_CC\the\numexpr 1+10#1\relax
}%
-\def\xint@addr@cz\W\XINT@addr@D #1#2{ #21000}%
+\def\xint_addr_cz\W\XINT_addr_D #1#2{ #21000}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% ADDITION III, \XINT@addm@A
-% INPUT:
-% \romannumeral0\XINT@addm@A 0{}<N1>\W\X\Y\Z <N2>\W\X\Y\Z
-% 1. <N1> et <N2> renversés
-% 2. <N1> de longueur 4n ; <N2> non
-% 3. <N2> est *garanti au moins aussi long* que <N1>
+% \lverb|ADDITION III, \XINT_addm_A$\
+% INPUT:\romannumeral0\XINT_addm_A 0{}<N1>\W\X\Y\Z <N2>\W\X\Y\Z$\
+% 1. <N1> et <N2> renversés$\
+% 2. <N1> de longueur 4n ; <N2> non$\
+% 3. <N2> est *garanti au moins aussi long* que <N1>$\
% OUTPUT: la somme <N1>+<N2>, ordre normal, pas sur 4n, leading zeros retirés.
-% Utilisé par la multiplication.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% Utilisé par la multiplication.|
% \begin{macrocode}
-\def\XINT@addm@A #1#2#3#4#5#6%
+\def\XINT_addm_A #1#2#3#4#5#6%
{%
- \xint@w #3\xint@addm@az\W\XINT@addm@AB #1{#3#4#5#6}{#2}%
+ \xint_gob_til_w #3\xint_addm_az\W
+ \XINT_addm_AB #1{#3#4#5#6}{#2}%
}%
-\def\xint@addm@az\W\XINT@addm@AB #1#2%
+\def\xint_addm_az\W\XINT_addm_AB #1#2%
{%
- \XINT@addm@AC@checkcarry #1%
+ \XINT_addm_AC_checkcarry #1%
}%
-\def\XINT@addm@AB #1#2#3#4\W\X\Y\Z #5#6#7#8%
+\def\XINT_addm_AB #1#2#3#4\W\X\Y\Z #5#6#7#8%
{%
- \XINT@addm@ABE #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
+ \XINT_addm_ABE #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
}%
-\def\XINT@addm@ABE #1#2#3#4#5#6%
+\def\XINT_addm_ABE #1#2#3#4#5#6%
{%
- \expandafter\XINT@addm@ABEA\the\numexpr #1+10#5#4#3#2+#6\relax.%
+ \expandafter\XINT_addm_ABEA\the\numexpr #1+10#5#4#3#2+#6\relax.%
}%
-\def\XINT@addm@ABEA #1#2#3.#4%
+\def\XINT_addm_ABEA #1#2#3.#4%
{%
- \XINT@addm@A #2{#3#4}%
+ \XINT_addm_A #2{#3#4}%
}%
-\def\XINT@addm@AC@checkcarry #1%
+\def\XINT_addm_AC_checkcarry #1%
{%
- \xint@zero #1\xint@addm@AC@nocarry 0\XINT@addm@C
+ \xint_gob_til_zero #1\xint_addm_AC_nocarry 0\XINT_addm_C
}%
-\def\xint@addm@AC@nocarry 0\XINT@addm@C #1#2\W\X\Y\Z
+\def\xint_addm_AC_nocarry 0\XINT_addm_C #1#2\W\X\Y\Z
{%
\expandafter
- \xint@cleanupzeros@andstop
+ \xint_cleanupzeros_andstop
\romannumeral0%
- \XINT@rord@main {}#2%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#2%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
#1%
}%
-\def\XINT@addm@C #1#2#3#4#5%
+\def\XINT_addm_C #1#2#3#4#5%
{%
- \xint@w
- #5\xint@addm@cw
- #4\xint@addm@cx
- #3\xint@addm@cy
- #2\xint@addm@cz
- \W\XINT@addm@CD {#5#4#3#2}{#1}%
+ \xint_gob_til_w
+ #5\xint_addm_cw
+ #4\xint_addm_cx
+ #3\xint_addm_cy
+ #2\xint_addm_cz
+ \W\XINT_addm_CD {#5#4#3#2}{#1}%
}%
-\def\XINT@addm@CD #1%
+\def\XINT_addm_CD #1%
{%
- \expandafter\XINT@addm@CC\the\numexpr 1+10#1\relax.%
+ \expandafter\XINT_addm_CC\the\numexpr 1+10#1\relax.%
}%
-\def\XINT@addm@CC #1#2#3.#4%
+\def\XINT_addm_CC #1#2#3.#4%
{%
- \XINT@addm@AC@checkcarry #2{#3#4}%
+ \XINT_addm_AC_checkcarry #2{#3#4}%
}%
-\def\xint@addm@cw
- #1\xint@addm@cx
- #2\xint@addm@cy
- #3\xint@addm@cz
- \W\XINT@addm@CD
+\def\xint_addm_cw
+ #1\xint_addm_cx
+ #2\xint_addm_cy
+ #3\xint_addm_cz
+ \W\XINT_addm_CD
{%
- \expandafter\XINT@addm@CDw\the\numexpr 1+#1#2#3\relax.%
+ \expandafter\XINT_addm_CDw\the\numexpr 1+#1#2#3\relax.%
}%
-\def\XINT@addm@CDw #1.#2#3\X\Y\Z
+\def\XINT_addm_CDw #1.#2#3\X\Y\Z
{%
- \XINT@addm@end #1#3%
+ \XINT_addm_end #1#3%
}%
-\def\xint@addm@cx
- #1\xint@addm@cy
- #2\xint@addm@cz
- \W\XINT@addm@CD
+\def\xint_addm_cx
+ #1\xint_addm_cy
+ #2\xint_addm_cz
+ \W\XINT_addm_CD
{%
- \expandafter\XINT@addm@CDx\the\numexpr 1+#1#2\relax.%
+ \expandafter\XINT_addm_CDx\the\numexpr 1+#1#2\relax.%
}%
-\def\XINT@addm@CDx #1.#2#3\Y\Z
+\def\XINT_addm_CDx #1.#2#3\Y\Z
{%
- \XINT@addm@end #1#3%
+ \XINT_addm_end #1#3%
}%
-\def\xint@addm@cy
- #1\xint@addm@cz
- \W\XINT@addm@CD
+\def\xint_addm_cy
+ #1\xint_addm_cz
+ \W\XINT_addm_CD
{%
- \expandafter\XINT@addm@CDy\the\numexpr 1+#1\relax.%
+ \expandafter\XINT_addm_CDy\the\numexpr 1+#1\relax.%
}%
-\def\XINT@addm@CDy #1.#2#3\Z
+\def\XINT_addm_CDy #1.#2#3\Z
{%
- \XINT@addm@end #1#3%
+ \XINT_addm_end #1#3%
}%
-\def\xint@addm@cz\W\XINT@addm@CD #1#2#3{\XINT@addm@end #1#3}%
-\def\XINT@addm@end #1#2#3#4#5%
+\def\xint_addm_cz\W\XINT_addm_CD #1#2#3{\XINT_addm_end #1#3}%
+\def\XINT_addm_end #1#2#3#4#5%
{\expandafter\space\the\numexpr #1#2#3#4#5\relax}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% ADDITION IV, variante \XINT@addp@A
+% \lverb|ADDITION IV, variante \XINT_addp_A$\
% INPUT:
-% \romannumeral0\XINT@addp@A 0{}<N1>\W\X\Y\Z <N2>\W\X\Y\Z
-% 1. <N1> et <N2> renversés
-% 2. <N1> de longueur 4n ; <N2> non
-% 3. <N2> est *garanti au moins aussi long* que <N1>
+% \romannumeral0\XINT_addp_A 0{}<N1>\W\X\Y\Z <N2>\W\X\Y\Z$\
+% 1. <N1> et <N2> renversés$\
+% 2. <N1> de longueur 4n ; <N2> non$\
+% 3. <N2> est *garanti au moins aussi long* que <N1>$\
% OUTPUT: la somme <N1>+<N2>, dans l'ordre renversé, sur 4n, et en faisant
% attention de ne pas terminer en 0000.
-% Utilisé par la multiplication servant pour le calcul des puissances.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% Utilisé par la multiplication servant pour le calcul des puissances.|
% \begin{macrocode}
-\def\XINT@addp@A #1#2#3#4#5#6%
+\def\XINT_addp_A #1#2#3#4#5#6%
{%
- \xint@w #3\xint@addp@az\W\XINT@addp@AB #1{#3#4#5#6}{#2}%
+ \xint_gob_til_w #3\xint_addp_az\W
+ \XINT_addp_AB #1{#3#4#5#6}{#2}%
}%
-\def\xint@addp@az\W\XINT@addp@AB #1#2%
+\def\xint_addp_az\W\XINT_addp_AB #1#2%
{%
- \XINT@addp@AC@checkcarry #1%
+ \XINT_addp_AC_checkcarry #1%
}%
-\def\XINT@addp@AC@checkcarry #1%
+\def\XINT_addp_AC_checkcarry #1%
{%
- \xint@zero #1\xint@addp@AC@nocarry 0\XINT@addp@C
+ \xint_gob_til_zero #1\xint_addp_AC_nocarry 0\XINT_addp_C
}%
-\def\xint@addp@AC@nocarry 0\XINT@addp@C
+\def\xint_addp_AC_nocarry 0\XINT_addp_C
{%
- \XINT@addp@F
+ \XINT_addp_F
}%
-\def\XINT@addp@AB #1#2#3#4\W\X\Y\Z #5#6#7#8%
+\def\XINT_addp_AB #1#2#3#4\W\X\Y\Z #5#6#7#8%
{%
- \XINT@addp@ABE #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
+ \XINT_addp_ABE #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
}%
-\def\XINT@addp@ABE #1#2#3#4#5#6%
+\def\XINT_addp_ABE #1#2#3#4#5#6%
{%
- \expandafter\XINT@addp@ABEA\the\numexpr #1+10#5#4#3#2+#6\relax
+ \expandafter\XINT_addp_ABEA\the\numexpr #1+10#5#4#3#2+#6\relax
}%
-\def\XINT@addp@ABEA #1#2#3#4#5#6#7%
+\def\XINT_addp_ABEA #1#2#3#4#5#6#7%
{%
- \XINT@addp@A #2{#7#6#5#4#3}%<-- attention on met donc \`a droite
+ \XINT_addp_A #2{#7#6#5#4#3}%<-- attention on met donc \`a droite
}%
-\def\XINT@addp@C #1#2#3#4#5%
+\def\XINT_addp_C #1#2#3#4#5%
{%
- \xint@w
- #5\xint@addp@cw
- #4\xint@addp@cx
- #3\xint@addp@cy
- #2\xint@addp@cz
- \W\XINT@addp@CD {#5#4#3#2}{#1}%
+ \xint_gob_til_w
+ #5\xint_addp_cw
+ #4\xint_addp_cx
+ #3\xint_addp_cy
+ #2\xint_addp_cz
+ \W\XINT_addp_CD {#5#4#3#2}{#1}%
}%
-\def\XINT@addp@CD #1%
+\def\XINT_addp_CD #1%
{%
- \expandafter\XINT@addp@CC\the\numexpr 1+10#1\relax
+ \expandafter\XINT_addp_CC\the\numexpr 1+10#1\relax
}%
-\def\XINT@addp@CC #1#2#3#4#5#6#7%
+\def\XINT_addp_CC #1#2#3#4#5#6#7%
{%
- \XINT@addp@AC@checkcarry #2{#7#6#5#4#3}%
+ \XINT_addp_AC_checkcarry #2{#7#6#5#4#3}%
}%
-\def\xint@addp@cw
- #1\xint@addp@cx
- #2\xint@addp@cy
- #3\xint@addp@cz
- \W\XINT@addp@CD
+\def\xint_addp_cw
+ #1\xint_addp_cx
+ #2\xint_addp_cy
+ #3\xint_addp_cz
+ \W\XINT_addp_CD
{%
- \expandafter\XINT@addp@CDw\the\numexpr 1+10#1#2#3\relax
+ \expandafter\XINT_addp_CDw\the\numexpr 1+10#1#2#3\relax
}%
-\def\XINT@addp@CDw #1#2#3#4#5#6%
+\def\XINT_addp_CDw #1#2#3#4#5#6%
{%
- \xint@quatrezeros #2#3#4#5\XINT@addp@endDw@zeros
- 0000\XINT@addp@endDw #2#3#4#5%
+ \xint_gob_til_zeros_iv #2#3#4#5\XINT_addp_endDw_zeros
+ 0000\XINT_addp_endDw #2#3#4#5%
}%
-\def\XINT@addp@endDw@zeros 0000\XINT@addp@endDw 0000#1\X\Y\Z{ #1}%
-\def\XINT@addp@endDw #1#2#3#4#5\X\Y\Z{ #5#4#3#2#1}%
-\def\xint@addp@cx
- #1\xint@addp@cy
- #2\xint@addp@cz
- \W\XINT@addp@CD
+\def\XINT_addp_endDw_zeros 0000\XINT_addp_endDw 0000#1\X\Y\Z{ #1}%
+\def\XINT_addp_endDw #1#2#3#4#5\X\Y\Z{ #5#4#3#2#1}%
+\def\xint_addp_cx
+ #1\xint_addp_cy
+ #2\xint_addp_cz
+ \W\XINT_addp_CD
{%
- \expandafter\XINT@addp@CDx\the\numexpr 1+100#1#2\relax
+ \expandafter\XINT_addp_CDx\the\numexpr 1+100#1#2\relax
}%
-\def\XINT@addp@CDx #1#2#3#4#5#6%
+\def\XINT_addp_CDx #1#2#3#4#5#6%
{%
- \xint@quatrezeros #2#3#4#5\XINT@addp@endDx@zeros
- 0000\XINT@addp@endDx #2#3#4#5%
+ \xint_gob_til_zeros_iv #2#3#4#5\XINT_addp_endDx_zeros
+ 0000\XINT_addp_endDx #2#3#4#5%
}%
-\def\XINT@addp@endDx@zeros 0000\XINT@addp@endDx 0000#1\Y\Z{ #1}%
-\def\XINT@addp@endDx #1#2#3#4#5\Y\Z{ #5#4#3#2#1}%
-\def\xint@addp@cy
- #1\xint@addp@cz
- \W\XINT@addp@CD
+\def\XINT_addp_endDx_zeros 0000\XINT_addp_endDx 0000#1\Y\Z{ #1}%
+\def\XINT_addp_endDx #1#2#3#4#5\Y\Z{ #5#4#3#2#1}%
+\def\xint_addp_cy
+ #1\xint_addp_cz
+ \W\XINT_addp_CD
{%
- \expandafter\XINT@addp@CDy\the\numexpr 1+1000#1\relax
+ \expandafter\XINT_addp_CDy\the\numexpr 1+1000#1\relax
}%
-\def\XINT@addp@CDy #1#2#3#4#5#6%
+\def\XINT_addp_CDy #1#2#3#4#5#6%
{%
- \xint@quatrezeros #2#3#4#5\XINT@addp@endDy@zeros
- 0000\XINT@addp@endDy #2#3#4#5%
+ \xint_gob_til_zeros_iv #2#3#4#5\XINT_addp_endDy_zeros
+ 0000\XINT_addp_endDy #2#3#4#5%
}%
-\def\XINT@addp@endDy@zeros 0000\XINT@addp@endDy 0000#1\Z{ #1}%
-\def\XINT@addp@endDy #1#2#3#4#5\Z{ #5#4#3#2#1}%
-\def\xint@addp@cz\W\XINT@addp@CD #1#2{ #21000}%
-\def\XINT@addp@F #1#2#3#4#5%
+\def\XINT_addp_endDy_zeros 0000\XINT_addp_endDy 0000#1\Z{ #1}%
+\def\XINT_addp_endDy #1#2#3#4#5\Z{ #5#4#3#2#1}%
+\def\xint_addp_cz\W\XINT_addp_CD #1#2{ #21000}%
+\def\XINT_addp_F #1#2#3#4#5%
{%
- \xint@w
- #5\xint@addp@Gw
- #4\xint@addp@Gx
- #3\xint@addp@Gy
- #2\xint@addp@Gz
- \W\XINT@addp@G {#2#3#4#5}{#1}%
+ \xint_gob_til_w
+ #5\xint_addp_Gw
+ #4\xint_addp_Gx
+ #3\xint_addp_Gy
+ #2\xint_addp_Gz
+ \W\XINT_addp_G {#2#3#4#5}{#1}%
}%
-\def\XINT@addp@G #1#2%
+\def\XINT_addp_G #1#2%
{%
- \XINT@addp@F {#2#1}%
+ \XINT_addp_F {#2#1}%
}%
-\def\xint@addp@Gw
- #1\xint@addp@Gx
- #2\xint@addp@Gy
- #3\xint@addp@Gz
- \W\XINT@addp@G #4%
+\def\xint_addp_Gw
+ #1\xint_addp_Gx
+ #2\xint_addp_Gy
+ #3\xint_addp_Gz
+ \W\XINT_addp_G #4%
{%
- \xint@quatrezeros #3#2#10\XINT@addp@endGw@zeros
- 0000\XINT@addp@endGw #3#2#10%
+ \xint_gob_til_zeros_iv #3#2#10\XINT_addp_endGw_zeros
+ 0000\XINT_addp_endGw #3#2#10%
}%
-\def\XINT@addp@endGw@zeros 0000\XINT@addp@endGw 0000#1\X\Y\Z{ #1}%
-\def\XINT@addp@endGw #1#2#3#4#5\X\Y\Z{ #5#1#2#3#4}%
-\def\xint@addp@Gx
- #1\xint@addp@Gy
- #2\xint@addp@Gz
- \W\XINT@addp@G #3%
+\def\XINT_addp_endGw_zeros 0000\XINT_addp_endGw 0000#1\X\Y\Z{ #1}%
+\def\XINT_addp_endGw #1#2#3#4#5\X\Y\Z{ #5#1#2#3#4}%
+\def\xint_addp_Gx
+ #1\xint_addp_Gy
+ #2\xint_addp_Gz
+ \W\XINT_addp_G #3%
{%
- \xint@quatrezeros #2#100\XINT@addp@endGx@zeros
- 0000\XINT@addp@endGx #2#100%
+ \xint_gob_til_zeros_iv #2#100\XINT_addp_endGx_zeros
+ 0000\XINT_addp_endGx #2#100%
}%
-\def\XINT@addp@endGx@zeros 0000\XINT@addp@endGx 0000#1\Y\Z{ #1}%
-\def\XINT@addp@endGx #1#2#3#4#5\Y\Z{ #5#1#2#3#4}%
-\def\xint@addp@Gy
- #1\xint@addp@Gz
- \W\XINT@addp@G #2%
+\def\XINT_addp_endGx_zeros 0000\XINT_addp_endGx 0000#1\Y\Z{ #1}%
+\def\XINT_addp_endGx #1#2#3#4#5\Y\Z{ #5#1#2#3#4}%
+\def\xint_addp_Gy
+ #1\xint_addp_Gz
+ \W\XINT_addp_G #2%
{%
- \xint@quatrezeros #1000\XINT@addp@endGy@zeros
- 0000\XINT@addp@endGy #1000%
+ \xint_gob_til_zeros_iv #1000\XINT_addp_endGy_zeros
+ 0000\XINT_addp_endGy #1000%
}%
-\def\XINT@addp@endGy@zeros 0000\XINT@addp@endGy 0000#1\Z{ #1}%
-\def\XINT@addp@endGy #1#2#3#4#5\Z{ #5#1#2#3#4}%
-\def\xint@addp@Gz\W\XINT@addp@G #1#2{ #2}%
+\def\XINT_addp_endGy_zeros 0000\XINT_addp_endGy 0000#1\Z{ #1}%
+\def\XINT_addp_endGy #1#2#3#4#5\Z{ #5#1#2#3#4}%
+\def\xint_addp_Gz\W\XINT_addp_G #1#2{ #2}%
% \end{macrocode}
% \subsection{\csh{xintAdd}}
% \begin{macrocode}
\def\xintiAdd {\romannumeral0\xintiadd }%
\def\xintiadd #1%
{%
- \expandafter\xint@add\expandafter{\romannumeral-`0#1}%
+ \expandafter\xint_add\expandafter{\romannumeral-`0#1}%
}%
\let\xintAdd\xintiAdd \let\xintadd\xintiadd
-\def\xint@add #1#2%
+\def\xint_add #1#2%
{%
- \expandafter\XINT@add@fork \romannumeral-`0#2\Z #1\Z
+ \expandafter\XINT_add_fork \romannumeral-`0#2\Z #1\Z
}%
-\def\XINT@Add #1#2{\romannumeral0\XINT@add@fork #2\Z #1\Z }%
-\def\XINT@add #1#2{\XINT@add@fork #2\Z #1\Z }%
+\def\XINT_Add #1#2{\romannumeral0\XINT_add_fork #2\Z #1\Z }%
+\def\XINT_add #1#2{\XINT_add_fork #2\Z #1\Z }%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% ADDITION
+% \lverb|ADDITION
% Ici #1#2 vient du *deuxième* argument de \xintAdd et #3#4 donc du *premier*
-% [algo plus efficace lorsque le premier est plus long que le second]
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% [algo plus efficace lorsque le premier est plus long que le second]|
% \begin{macrocode}
-\def\XINT@add@fork #1#2\Z #3#4\Z
+\def\XINT_add_fork #1#2\Z #3#4\Z
{%
- \xint@UDzerofork
- #1\dummy \XINT@add@secondiszero
- #3\dummy \XINT@add@firstiszero
+ \xint_UDzerofork
+ #1\dummy \XINT_add_secondiszero
+ #3\dummy \XINT_add_firstiszero
0\dummy
- {\xint@UDsignsfork
- #1#3\dummy \XINT@add@minusminus % #1 = #3 = -
- #1-\dummy \XINT@add@minusplus % #1 = -
- #3-\dummy \XINT@add@plusminus % #3 = -
- --\dummy \XINT@add@plusplus
- \xint@UDkrof }%
- \xint@UDkrof
+ {\xint_UDsignsfork
+ #1#3\dummy \XINT_add_minusminus % #1 = #3 = -
+ #1-\dummy \XINT_add_minusplus % #1 = -
+ #3-\dummy \XINT_add_plusminus % #3 = -
+ --\dummy \XINT_add_plusplus
+ \krof }%
+ \krof
{#2}{#4}#1#3%
}%
-\def\XINT@add@secondiszero #1#2#3#4{ #4#2}%
-\def\XINT@add@firstiszero #1#2#3#4{ #3#1}%
+\def\XINT_add_secondiszero #1#2#3#4{ #4#2}%
+\def\XINT_add_firstiszero #1#2#3#4{ #3#1}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% #1 vient du *deuxième* et #2 vient du *premier*
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|#1 vient du *deuxième* et #2 vient du *premier*|
% \begin{macrocode}
-\def\XINT@add@minusminus #1#2#3#4%
+\def\XINT_add_minusminus #1#2#3#4%
{%
- \expandafter\xint@minus@andstop%
- \romannumeral0\XINT@add@pre {#2}{#1}%
+ \expandafter\xint_minus_andstop%
+ \romannumeral0\XINT_add_pre {#2}{#1}%
}%
-\def\XINT@add@minusplus #1#2#3#4%
+\def\XINT_add_minusplus #1#2#3#4%
{%
- \XINT@sub@pre {#4#2}{#1}%
+ \XINT_sub_pre {#4#2}{#1}%
}%
-\def\XINT@add@plusminus #1#2#3#4%
+\def\XINT_add_plusminus #1#2#3#4%
{%
- \XINT@sub@pre {#3#1}{#2}%
+ \XINT_sub_pre {#3#1}{#2}%
}%
-\def\XINT@add@plusplus #1#2#3#4%
+\def\XINT_add_plusplus #1#2#3#4%
{%
- \XINT@add@pre {#4#2}{#3#1}%
+ \XINT_add_pre {#4#2}{#3#1}%
}%
-\def\XINT@add@pre #1%
+\def\XINT_add_pre #1%
{%
- \expandafter\XINT@add@@pre\expandafter
- {\romannumeral0\XINT@RQ {}#1\R\R\R\R\R\R\R\R\Z }%
+ \expandafter\XINT_add__pre\expandafter
+ {\romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z }%
}%
-\def\XINT@add@@pre #1#2%
+\def\XINT_add__pre #1#2%
{%
- \expandafter\XINT@add@A
+ \expandafter\XINT_add_A
\expandafter0\expandafter{\expandafter}%
- \romannumeral0\XINT@RQ {}#2\R\R\R\R\R\R\R\R\Z
+ \romannumeral0\XINT_RQ {}#2\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #1\W\X\Y\Z
}%
% \end{macrocode}
@@ -5511,298 +5680,281 @@ first place.
\def\xintiSub {\romannumeral0\xintisub }%
\def\xintisub #1%
{%
- \expandafter\xint@sub\expandafter{\romannumeral-`0#1}%
+ \expandafter\xint_sub\expandafter{\romannumeral-`0#1}%
}%
\let\xintSub\xintiSub \let\xintsub\xintisub
-\def\xint@sub #1#2%
+\def\xint_sub #1#2%
{%
- \expandafter\XINT@sub@fork \romannumeral-`0#2\Z #1\Z
+ \expandafter\XINT_sub_fork \romannumeral-`0#2\Z #1\Z
}%
-\def\XINT@Sub #1#2{\romannumeral0\XINT@sub@fork #2\Z #1\Z }%
-\def\XINT@sub #1#2{\XINT@sub@fork #2\Z #1\Z }%
+\def\XINT_Sub #1#2{\romannumeral0\XINT_sub_fork #2\Z #1\Z }%
+\def\XINT_sub #1#2{\XINT_sub_fork #2\Z #1\Z }%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
+% \lverb|&
% SOUSTRACTION
-% #3#4-#1#2
+% #3#4-#1#2:
% #3#4 vient du *premier*
-% #1#2 vient du *second*
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
-% \begin{macrocode}
-\def\XINT@sub@fork #1#2\Z #3#4\Z
-{%
- \xint@UDsignsfork
- #1#3\dummy \XINT@sub@minusminus
- #1-\dummy \XINT@sub@minusplus % attention, #3=0 possible
- #3-\dummy \XINT@sub@plusminus % attention, #1=0 possible
- --\dummy {\xint@UDzerofork
- #1\dummy \XINT@sub@secondiszero
- #3\dummy \XINT@sub@firstiszero
- 0\dummy \XINT@sub@plusplus
- \xint@UDkrof }%
- \xint@UDkrof
+% #1#2 vient du *second*|
+% \begin{macrocode}
+\def\XINT_sub_fork #1#2\Z #3#4\Z
+{%
+ \xint_UDsignsfork
+ #1#3\dummy \XINT_sub_minusminus
+ #1-\dummy \XINT_sub_minusplus % attention, #3=0 possible
+ #3-\dummy \XINT_sub_plusminus % attention, #1=0 possible
+ --\dummy {\xint_UDzerofork
+ #1\dummy \XINT_sub_secondiszero
+ #3\dummy \XINT_sub_firstiszero
+ 0\dummy \XINT_sub_plusplus
+ \krof }%
+ \krof
{#2}{#4}#1#3%
}%
-\def\XINT@sub@secondiszero #1#2#3#4{ #4#2}%
-\def\XINT@sub@firstiszero #1#2#3#4{ -#3#1}%
-\def\XINT@sub@plusplus #1#2#3#4%
+\def\XINT_sub_secondiszero #1#2#3#4{ #4#2}%
+\def\XINT_sub_firstiszero #1#2#3#4{ -#3#1}%
+\def\XINT_sub_plusplus #1#2#3#4%
{%
- \XINT@sub@pre {#4#2}{#3#1}%
+ \XINT_sub_pre {#4#2}{#3#1}%
}%
-\def\XINT@sub@minusminus #1#2#3#4%
+\def\XINT_sub_minusminus #1#2#3#4%
{%
- \XINT@sub@pre {#1}{#2}%
+ \XINT_sub_pre {#1}{#2}%
}%
-\def\XINT@sub@minusplus #1#2#3#4%
+\def\XINT_sub_minusplus #1#2#3#4%
{%
- \xint@zero #4\xint@sub@mp0\XINT@add@pre {#4#2}{#1}%
+ \xint_gob_til_zero #4\xint_sub_mp0\XINT_add_pre {#4#2}{#1}%
}%
-\def\xint@sub@mp0\XINT@add@pre #1#2{ #2}%
-\def\XINT@sub@plusminus #1#2#3#4%
+\def\xint_sub_mp0\XINT_add_pre #1#2{ #2}%
+\def\XINT_sub_plusminus #1#2#3#4%
{%
- \xint@zero #3\xint@sub@pm0\expandafter\xint@minus@andstop%
- \romannumeral0\XINT@add@pre {#2}{#3#1}%
+ \xint_gob_til_zero #3\xint_sub_pm0\expandafter\xint_minus_andstop%
+ \romannumeral0\XINT_add_pre {#2}{#3#1}%
}%
-\def\xint@sub@pm #1\XINT@add@pre #2#3{ -#2}%
-\def\XINT@sub@pre #1%
+\def\xint_sub_pm #1\XINT_add_pre #2#3{ -#2}%
+\def\XINT_sub_pre #1%
{%
- \expandafter\XINT@sub@@pre\expandafter
- {\romannumeral0\XINT@RQ {}#1\R\R\R\R\R\R\R\R\Z }%
+ \expandafter\XINT_sub__pre\expandafter
+ {\romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z }%
}%
-\def\XINT@sub@@pre #1#2%
+\def\XINT_sub__pre #1#2%
{%
- \expandafter\XINT@sub@A
+ \expandafter\XINT_sub_A
\expandafter1\expandafter{\expandafter}%
- \romannumeral0\XINT@RQ {}#2\R\R\R\R\R\R\R\R\Z
+ \romannumeral0\XINT_RQ {}#2\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #1 \W\X\Y\Z
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% \romannumeral0\XINT@sub@A 1{}<N1>\W\X\Y\Z<N2>\W\X\Y\Z
+% \lverb|&
+% \romannumeral0\XINT_sub_A 1{}<N1>\W\X\Y\Z<N2>\W\X\Y\Z$\
% N1 et N2 sont présentés à l'envers ET ON A RAJOUTÉ DES ZÉROS
% POUR QUE LEURS LONGUEURS À CHACUN SOIENT MULTIPLES DE 4, MAIS
-% AUCUN NE SE TERMINE EN 0000
-% output: N2 - N1
+% AUCUN NE SE TERMINE EN 0000.$\ output: N2 - N1$\
% Elle donne le résultat dans le **bon ordre**, avec le bon signe,
-% et sans zéros superflus.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% et sans zéros superflus.|
% \begin{macrocode}
-\def\XINT@sub@A #1#2#3\W\X\Y\Z #4#5#6#7%
+\def\XINT_sub_A #1#2#3\W\X\Y\Z #4#5#6#7%
{%
- \xint@w
- #4\xint@sub@az
- \W\XINT@sub@B #1{#4#5#6#7}{#2}#3\W\X\Y\Z
+ \xint_gob_til_w
+ #4\xint_sub_az
+ \W\XINT_sub_B #1{#4#5#6#7}{#2}#3\W\X\Y\Z
}%
-\def\XINT@sub@B #1#2#3#4#5#6#7%
+\def\XINT_sub_B #1#2#3#4#5#6#7%
{%
- \xint@w
- #4\xint@sub@bz
- \W\XINT@sub@onestep #1#2{#7#6#5#4}{#3}%
+ \xint_gob_til_w
+ #4\xint_sub_bz
+ \W\XINT_sub_onestep #1#2{#7#6#5#4}{#3}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
+% \lverb|&
% d'abord la branche principale
% #6 = 4 chiffres de N1, plus significatif en *premier*,
% #2#3#4#5 chiffres de N2, plus significatif en *dernier*
-% On veut N2 - N1.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% On veut N2 - N1.|
% \begin{macrocode}
-\def\XINT@sub@onestep #1#2#3#4#5#6%
+\def\XINT_sub_onestep #1#2#3#4#5#6%
{%
- \expandafter\XINT@sub@backtoA\the\numexpr 11#5#4#3#2-#6+#1-1\relax.%
+ \expandafter\XINT_sub_backtoA\the\numexpr 11#5#4#3#2-#6+#1-1\relax.%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% ON PRODUIT LE RÉSULTAT DANS LE BON ORDRE
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|ON PRODUIT LE RÉSULTAT DANS LE BON ORDRE|
% \begin{macrocode}
-\def\XINT@sub@backtoA #1#2#3.#4%
+\def\XINT_sub_backtoA #1#2#3.#4%
{%
- \XINT@sub@A #2{#3#4}%
+ \XINT_sub_A #2{#3#4}%
}%
-\def\xint@sub@bz
- \W\XINT@sub@onestep #1#2#3#4#5#6#7%
+\def\xint_sub_bz
+ \W\XINT_sub_onestep #1#2#3#4#5#6#7%
{%
- \xint@UDzerofork
- #1\dummy \XINT@sub@C % une retenue
- 0\dummy \XINT@sub@D % pas de retenue
- \xint@UDkrof
+ \xint_UDzerofork
+ #1\dummy \XINT_sub_C % une retenue
+ 0\dummy \XINT_sub_D % pas de retenue
+ \krof
{#7}#2#3#4#5%
}%
-\def\XINT@sub@D #1#2\W\X\Y\Z
+\def\XINT_sub_D #1#2\W\X\Y\Z
{%
\expandafter
- \xint@cleanupzeros@andstop
+ \xint_cleanupzeros_andstop
\romannumeral0%
- \XINT@rord@main {}#2%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#2%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
#1%
}%
-\def\XINT@sub@C #1#2#3#4#5%
+\def\XINT_sub_C #1#2#3#4#5%
{%
- \xint@w
- #2\xint@sub@cz
- \W\XINT@sub@AC@onestep {#5#4#3#2}{#1}%
+ \xint_gob_til_w
+ #2\xint_sub_cz
+ \W\XINT_sub_AC_onestep {#5#4#3#2}{#1}%
}%
-\def\XINT@sub@AC@onestep #1%
+\def\XINT_sub_AC_onestep #1%
{%
- \expandafter\XINT@sub@backtoC\the\numexpr 11#1-1\relax.%
+ \expandafter\XINT_sub_backtoC\the\numexpr 11#1-1\relax.%
}%
-\def\XINT@sub@backtoC #1#2#3.#4%
+\def\XINT_sub_backtoC #1#2#3.#4%
{%
- \XINT@sub@AC@checkcarry #2{#3#4}% la retenue va \^etre examin\'ee
+ \XINT_sub_AC_checkcarry #2{#3#4}% la retenue va \^etre examin\'ee
}%
-\def\XINT@sub@AC@checkcarry #1%
+\def\XINT_sub_AC_checkcarry #1%
{%
- \xint@one #1\xint@sub@AC@nocarry 1\XINT@sub@C
+ \xint_gob_til_one #1\xint_sub_AC_nocarry 1\XINT_sub_C
}%
-\def\xint@sub@AC@nocarry 1\XINT@sub@C #1#2\W\X\Y\Z
+\def\xint_sub_AC_nocarry 1\XINT_sub_C #1#2\W\X\Y\Z
{%
\expandafter
- \XINT@cuz@loop
+ \XINT_cuz_loop
\romannumeral0%
- \XINT@rord@main {}#2%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#2%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
#1\W\W\W\W\W\W\W\Z
}%
-\def\xint@sub@cz\W\XINT@sub@AC@onestep #1%
+\def\xint_sub_cz\W\XINT_sub_AC_onestep #1%
{%
- \XINT@cuz
+ \XINT_cuz
}%
-\def\xint@sub@az\W\XINT@sub@B #1#2#3#4#5#6#7%
+\def\xint_sub_az\W\XINT_sub_B #1#2#3#4#5#6#7%
{%
- \xint@w
- #4\xint@sub@ez
- \W\XINT@sub@Eenter #1{#3}#4#5#6#7%
+ \xint_gob_til_w
+ #4\xint_sub_ez
+ \W\XINT_sub_Eenter #1{#3}#4#5#6#7%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% le premier nombre continue, le résultat sera < 0.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|le premier nombre continue, le résultat sera < 0.|
% \begin{macrocode}
-\def\XINT@sub@Eenter #1#2%
+\def\XINT_sub_Eenter #1#2%
{%
\expandafter
- \XINT@sub@E\expandafter1\expandafter{\expandafter}%
+ \XINT_sub_E\expandafter1\expandafter{\expandafter}%
\romannumeral0%
- \XINT@rord@main {}#2%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#2%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
\W\X\Y\Z #1%
}%
-\def\XINT@sub@E #1#2#3#4#5#6%
+\def\XINT_sub_E #1#2#3#4#5#6%
{%
- \xint@w #3\xint@sub@F\W\XINT@sub@Eonestep #1{#6#5#4#3}{#2}%
+ \xint_gob_til_w #3\xint_sub_F\W
+ \XINT_sub_Eonestep #1{#6#5#4#3}{#2}%
}%
-\def\XINT@sub@Eonestep #1#2%
+\def\XINT_sub_Eonestep #1#2%
{%
- \expandafter\XINT@sub@backtoE\the\numexpr 109999-#2+#1\relax.%
+ \expandafter\XINT_sub_backtoE\the\numexpr 109999-#2+#1\relax.%
}%
-\def\XINT@sub@backtoE #1#2#3.#4%
+\def\XINT_sub_backtoE #1#2#3.#4%
{%
- \XINT@sub@E #2{#3#4}%
+ \XINT_sub_E #2{#3#4}%
}%
-\def\xint@sub@F\W\XINT@sub@Eonestep #1#2#3#4%
+\def\xint_sub_F\W\XINT_sub_Eonestep #1#2#3#4%
{%
- \xint@UDonezerofork
- #4#1\dummy {\XINT@sub@Fdec 0}% soustraire 1. Et faire signe -
- #1#4\dummy {\XINT@sub@Finc 1}% additionner 1. Et faire signe -
- 10\dummy \XINT@sub@DD % terminer. Mais avec signe -
- \xint@UDkrof
+ \xint_UDonezerofork
+ #4#1\dummy {\XINT_sub_Fdec 0}% soustraire 1. Et faire signe -
+ #1#4\dummy {\XINT_sub_Finc 1}% additionner 1. Et faire signe -
+ 10\dummy \XINT_sub_DD % terminer. Mais avec signe -
+ \krof
{#3}%
}%
-\def\XINT@sub@DD {\expandafter\xint@minus@andstop\romannumeral0\XINT@sub@D }%
-\def\XINT@sub@Fdec #1#2#3#4#5#6%
+\def\XINT_sub_DD {\expandafter\xint_minus_andstop\romannumeral0\XINT_sub_D }%
+\def\XINT_sub_Fdec #1#2#3#4#5#6%
{%
- \xint@w #3\xint@sub@Fdec@finish\W
- \XINT@sub@Fdec@onestep #1{#6#5#4#3}{#2}%
+ \xint_gob_til_w #3\xint_sub_Fdec_finish\W
+ \XINT_sub_Fdec_onestep #1{#6#5#4#3}{#2}%
}%
-\def\XINT@sub@Fdec@onestep #1#2%
+\def\XINT_sub_Fdec_onestep #1#2%
{%
- \expandafter\XINT@sub@backtoFdec\the\numexpr 11#2+#1-1\relax.%
+ \expandafter\XINT_sub_backtoFdec\the\numexpr 11#2+#1-1\relax.%
}%
-\def\XINT@sub@backtoFdec #1#2#3.#4%
+\def\XINT_sub_backtoFdec #1#2#3.#4%
{%
- \XINT@sub@Fdec #2{#3#4}%
+ \XINT_sub_Fdec #2{#3#4}%
}%
-\def\xint@sub@Fdec@finish\W\XINT@sub@Fdec@onestep #1#2%
+\def\xint_sub_Fdec_finish\W\XINT_sub_Fdec_onestep #1#2%
{%
- \expandafter\xint@minus@andstop\romannumeral0\XINT@cuz
+ \expandafter\xint_minus_andstop\romannumeral0\XINT_cuz
}%
-\def\XINT@sub@Finc #1#2#3#4#5#6%
+\def\XINT_sub_Finc #1#2#3#4#5#6%
{%
- \xint@w #3\xint@sub@Finc@finish\W
- \XINT@sub@Finc@onestep #1{#6#5#4#3}{#2}%
+ \xint_gob_til_w #3\xint_sub_Finc_finish\W
+ \XINT_sub_Finc_onestep #1{#6#5#4#3}{#2}%
}%
-\def\XINT@sub@Finc@onestep #1#2%
+\def\XINT_sub_Finc_onestep #1#2%
{%
- \expandafter\XINT@sub@backtoFinc\the\numexpr 10#2+#1\relax.%
+ \expandafter\XINT_sub_backtoFinc\the\numexpr 10#2+#1\relax.%
}%
-\def\XINT@sub@backtoFinc #1#2#3.#4%
+\def\XINT_sub_backtoFinc #1#2#3.#4%
{%
- \XINT@sub@Finc #2{#3#4}%
+ \XINT_sub_Finc #2{#3#4}%
}%
-\def\xint@sub@Finc@finish\W\XINT@sub@Finc@onestep #1#2#3%
+\def\xint_sub_Finc_finish\W\XINT_sub_Finc_onestep #1#2#3%
{%
- \xint@UDzerofork
- #1\dummy {\expandafter\xint@minus@andstop\xint@cleanupzeros@nospace}%
+ \xint_UDzerofork
+ #1\dummy {\expandafter\xint_minus_andstop\xint_cleanupzeros_nospace}%
0\dummy { -1}%
- \xint@UDkrof
+ \krof
#3%
}%
-\def\xint@sub@ez\W\XINT@sub@Eenter #1%
+\def\xint_sub_ez\W\XINT_sub_Eenter #1%
{%
- \xint@UDzerofork
- #1\dummy \XINT@sub@K % il y a une retenue
- 0\dummy \XINT@sub@L % pas de retenue
- \xint@UDkrof
+ \xint_UDzerofork
+ #1\dummy \XINT_sub_K % il y a une retenue
+ 0\dummy \XINT_sub_L % pas de retenue
+ \krof
}%
-\def\XINT@sub@L #1\W\X\Y\Z {\XINT@cuz@loop #1\W\W\W\W\W\W\W\Z }%
-\def\XINT@sub@K #1%
+\def\XINT_sub_L #1\W\X\Y\Z {\XINT_cuz_loop #1\W\W\W\W\W\W\W\Z }%
+\def\XINT_sub_K #1%
{%
\expandafter
- \XINT@sub@KK\expandafter1\expandafter{\expandafter}%
+ \XINT_sub_KK\expandafter1\expandafter{\expandafter}%
\romannumeral0%
- \XINT@rord@main {}#1%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#1%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
}%
-\def\XINT@sub@KK #1#2#3#4#5#6%
+\def\XINT_sub_KK #1#2#3#4#5#6%
{%
- \xint@w #3\xint@sub@KK@finish\W
- \XINT@sub@KK@onestep #1{#6#5#4#3}{#2}%
+ \xint_gob_til_w #3\xint_sub_KK_finish\W
+ \XINT_sub_KK_onestep #1{#6#5#4#3}{#2}%
}%
-\def\XINT@sub@KK@onestep #1#2%
+\def\XINT_sub_KK_onestep #1#2%
{%
- \expandafter\XINT@sub@backtoKK\the\numexpr 109999-#2+#1\relax.%
+ \expandafter\XINT_sub_backtoKK\the\numexpr 109999-#2+#1\relax.%
}%
-\def\XINT@sub@backtoKK #1#2#3.#4%
+\def\XINT_sub_backtoKK #1#2#3.#4%
{%
- \XINT@sub@KK #2{#3#4}%
+ \XINT_sub_KK #2{#3#4}%
}%
-\def\xint@sub@KK@finish\W\XINT@sub@KK@onestep #1#2#3%
+\def\xint_sub_KK_finish\W\XINT_sub_KK_onestep #1#2#3%
{%
- \expandafter\xint@minus@andstop
- \romannumeral0\XINT@cuz@loop #3\W\W\W\W\W\W\W\Z
+ \expandafter\xint_minus_andstop
+ \romannumeral0\XINT_cuz_loop #3\W\W\W\W\W\W\W\Z
}%
% \end{macrocode}
% \subsection{\csh{xintCmp}}
@@ -5810,306 +5962,287 @@ first place.
\def\xintiCmp {\romannumeral0\xinticmp }%
\def\xinticmp #1%
{%
- \expandafter\xint@cmp\expandafter{\romannumeral-`0#1}%
+ \expandafter\xint_cmp\expandafter{\romannumeral-`0#1}%
}%
\let\xintCmp\xintiCmp \let\xintcmp\xinticmp
-\def\xint@cmp #1#2%
-{%
- \expandafter\XINT@cmp@fork \romannumeral-`0#2\Z #1\Z
-}%
-\def\XINT@Cmp #1#2{\romannumeral0\XINT@cmp@fork #2\Z #1\Z }%
-% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% COMPARAISON
-% 1 si #3#4>#1#2, 0 si #3#4=#1#2, -1 si #3#4<#1#2
-% #3#4 vient du *premier*
-% #1#2 vient du *second*
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
-% \begin{macrocode}
-\def\XINT@cmp@fork #1#2\Z #3#4\Z
-{%
- \xint@UDsignsfork
- #1#3\dummy \XINT@cmp@minusminus
- #1-\dummy \XINT@cmp@minusplus
- #3-\dummy \XINT@cmp@plusminus
- --\dummy {\xint@UDzerosfork
- #1#3\dummy \XINT@cmp@zerozero
- #10\dummy \XINT@cmp@zeroplus
- #30\dummy \XINT@cmp@pluszero
- 00\dummy \XINT@cmp@plusplus
- \xint@UDkrof }%
- \xint@UDkrof
+\def\xint_cmp #1#2%
+{%
+ \expandafter\XINT_cmp_fork \romannumeral-`0#2\Z #1\Z
+}%
+\def\XINT_Cmp #1#2{\romannumeral0\XINT_cmp_fork #2\Z #1\Z }%
+% \end{macrocode}
+% \lverb|&
+% COMPARAISON $\
+% 1 si #3#4>#1#2, 0 si #3#4=#1#2, -1 si #3#4<#1#2$\
+% #3#4 vient du *premier*,$
+% #1#2 vient du *second*|
+% \begin{macrocode}
+\def\XINT_cmp_fork #1#2\Z #3#4\Z
+{%
+ \xint_UDsignsfork
+ #1#3\dummy \XINT_cmp_minusminus
+ #1-\dummy \XINT_cmp_minusplus
+ #3-\dummy \XINT_cmp_plusminus
+ --\dummy {\xint_UDzerosfork
+ #1#3\dummy \XINT_cmp_zerozero
+ #10\dummy \XINT_cmp_zeroplus
+ #30\dummy \XINT_cmp_pluszero
+ 00\dummy \XINT_cmp_plusplus
+ \krof }%
+ \krof
{#2}{#4}#1#3%
}%
-\def\XINT@cmp@minusplus #1#2#3#4{ 1}%
-\def\XINT@cmp@plusminus #1#2#3#4{ -1}%
-\def\XINT@cmp@zerozero #1#2#3#4{ 0}%
-\def\XINT@cmp@zeroplus #1#2#3#4{ 1}%
-\def\XINT@cmp@pluszero #1#2#3#4{ -1}%
-\def\XINT@cmp@plusplus #1#2#3#4%
+\def\XINT_cmp_minusplus #1#2#3#4{ 1}%
+\def\XINT_cmp_plusminus #1#2#3#4{ -1}%
+\def\XINT_cmp_zerozero #1#2#3#4{ 0}%
+\def\XINT_cmp_zeroplus #1#2#3#4{ 1}%
+\def\XINT_cmp_pluszero #1#2#3#4{ -1}%
+\def\XINT_cmp_plusplus #1#2#3#4%
{%
- \XINT@cmp@pre {#4#2}{#3#1}%
+ \XINT_cmp_pre {#4#2}{#3#1}%
}%
-\def\XINT@cmp@minusminus #1#2#3#4%
+\def\XINT_cmp_minusminus #1#2#3#4%
{%
- \XINT@cmp@pre {#1}{#2}%
+ \XINT_cmp_pre {#1}{#2}%
}%
-\def\XINT@cmp@pre #1%
+\def\XINT_cmp_pre #1%
{%
- \expandafter\XINT@cmp@@pre\expandafter
- {\romannumeral0\XINT@RQ {}#1\R\R\R\R\R\R\R\R\Z }%
+ \expandafter\XINT_cmp__pre\expandafter
+ {\romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z }%
}%
-\def\XINT@cmp@@pre #1#2%
+\def\XINT_cmp__pre #1#2%
{%
- \expandafter\XINT@cmp@A
+ \expandafter\XINT_cmp_A
\expandafter1\expandafter{\expandafter}%
- \romannumeral0\XINT@RQ {}#2\R\R\R\R\R\R\R\R\Z
+ \romannumeral0\XINT_RQ {}#2\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #1\W\X\Y\Z
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% COMPARAISON
+% \lverb|&
+% COMPARAISON$\
% N1 et N2 sont présentés à l'envers ET ON A RAJOUTÉ DES ZÉROS
-% POUR QUE LEURS LONGUEURS À CHACUN SOIENT MULTIPLES DE 4, MAIS
-% AUCUN NE SE TERMINE EN 0000
-% routine appelée via \XINT@cmp@A 1{}<N1>\W\X\Y\Z<N2>\W\X\Y\Z
-% ATTENTION RENVOIE 1 SI N1 < N2, 0 si N1 = N2, -1 si N1 > N2
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% POUR QUE LEUR LONGUEURS À CHACUN SOIENT MULTIPLES DE 4, MAIS
+% AUCUN NE SE TERMINE EN 0000.
+% routine appelée via$\
+% \XINT_cmp_A 1{}<N1>\W\X\Y\Z<N2>\W\X\Y\Z$\
+% ATTENTION RENVOIE 1 SI N1 < N2, 0 si N1 = N2, -1 si N1 > N2|
% \begin{macrocode}
-\def\XINT@cmp@A #1#2#3\W\X\Y\Z #4#5#6#7%
+\def\XINT_cmp_A #1#2#3\W\X\Y\Z #4#5#6#7%
{%
- \xint@w #4\xint@cmp@az\W\XINT@cmp@B #1{#4#5#6#7}{#2}#3\W\X\Y\Z
+ \xint_gob_til_w #4\xint_cmp_az\W
+ \XINT_cmp_B #1{#4#5#6#7}{#2}#3\W\X\Y\Z
}%
-\def\XINT@cmp@B #1#2#3#4#5#6#7%
+\def\XINT_cmp_B #1#2#3#4#5#6#7%
{%
- \xint@w#4\xint@cmp@bz\W\XINT@cmp@onestep #1#2{#7#6#5#4}{#3}%
+ \xint_gob_til_w#4\xint_cmp_bz\W
+ \XINT_cmp_onestep #1#2{#7#6#5#4}{#3}%
}%
-\def\XINT@cmp@onestep #1#2#3#4#5#6%
+\def\XINT_cmp_onestep #1#2#3#4#5#6%
{%
- \expandafter\XINT@cmp@backtoA\the\numexpr 11#5#4#3#2-#6+#1-1\relax.%
+ \expandafter\XINT_cmp_backtoA\the\numexpr 11#5#4#3#2-#6+#1-1\relax.%
}%
-\def\XINT@cmp@backtoA #1#2#3.#4%
+\def\XINT_cmp_backtoA #1#2#3.#4%
{%
- \XINT@cmp@A #2{#3#4}%
+ \XINT_cmp_A #2{#3#4}%
}%
-\def\xint@cmp@bz\W\XINT@cmp@onestep #1\Z { 1}%
-\def\xint@cmp@az\W\XINT@cmp@B #1#2#3#4#5#6#7%
+\def\xint_cmp_bz\W\XINT_cmp_onestep #1\Z { 1}%
+\def\xint_cmp_az\W\XINT_cmp_B #1#2#3#4#5#6#7%
{%
- \xint@w #4\xint@cmp@ez\W\XINT@cmp@Eenter #1{#3}#4#5#6#7%
+ \xint_gob_til_w #4\xint_cmp_ez\W
+ \XINT_cmp_Eenter #1{#3}#4#5#6#7%
}%
-\def\XINT@cmp@Eenter #1\Z { -1}%
-\def\xint@cmp@ez\W\XINT@cmp@Eenter #1%
+\def\XINT_cmp_Eenter #1\Z { -1}%
+\def\xint_cmp_ez\W\XINT_cmp_Eenter #1%
{%
- \xint@UDzerofork
- #1\dummy \XINT@cmp@K % il y a une retenue
- 0\dummy \XINT@cmp@L % pas de retenue
- \xint@UDkrof
+ \xint_UDzerofork
+ #1\dummy \XINT_cmp_K % il y a une retenue
+ 0\dummy \XINT_cmp_L % pas de retenue
+ \krof
}%
-\def\XINT@cmp@K #1\Z { -1}%
-\def\XINT@cmp@L #1{\XINT@OneIfPositive@main #1}%
-\def\XINT@OneIfPositive #1%
+\def\XINT_cmp_K #1\Z { -1}%
+\def\XINT_cmp_L #1{\XINT_OneIfPositive_main #1}%
+\def\XINT_OneIfPositive #1%
{%
- \XINT@OneIfPositive@main #1\W\X\Y\Z%
+ \XINT_OneIfPositive_main #1\W\X\Y\Z%
}%
-\def\XINT@OneIfPositive@main #1#2#3#4%
+\def\XINT_OneIfPositive_main #1#2#3#4%
{%
- \xint@z #4\xint@OneIfPositive@terminated\Z
- \XINT@OneIfPositive@onestep #1#2#3#4%
+ \xint_gob_til_z #4\xint_OneIfPositive_terminated\Z
+ \XINT_OneIfPositive_onestep #1#2#3#4%
}%
-\def\xint@OneIfPositive@terminated\Z\XINT@OneIfPositive@onestep\W\X\Y\Z { 0}%
-\def\XINT@OneIfPositive@onestep #1#2#3#4%
+\def\xint_OneIfPositive_terminated\Z\XINT_OneIfPositive_onestep\W\X\Y\Z { 0}%
+\def\XINT_OneIfPositive_onestep #1#2#3#4%
{%
- \expandafter\XINT@OneIfPositive@check\the\numexpr #1#2#3#4\relax
+ \expandafter\XINT_OneIfPositive_check\the\numexpr #1#2#3#4\relax
}%
-\def\XINT@OneIfPositive@check #1%
+\def\XINT_OneIfPositive_check #1%
{%
- \xint@zero #1\xint@OneIfPositive@backtomain 0%
- \XINT@OneIfPositive@finish #1%
+ \xint_gob_til_zero #1\xint_OneIfPositive_backtomain 0%
+ \XINT_OneIfPositive_finish #1%
}%
-\def\XINT@OneIfPositive@finish #1\W\X\Y\Z{ 1}%
-\def\xint@OneIfPositive@backtomain 0\XINT@OneIfPositive@finish 0%
- {\XINT@OneIfPositive@main }%
+\def\XINT_OneIfPositive_finish #1\W\X\Y\Z{ 1}%
+\def\xint_OneIfPositive_backtomain 0\XINT_OneIfPositive_finish 0%
+ {\XINT_OneIfPositive_main }%
% \end{macrocode}
% \subsection{\csh{xintGeq}}
-% \begin{verbatim}
-% PLUS GRAND OU ÉGAL
-% attention compare les **valeurs absolues**
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% PLUS GRAND OU ÉGAL
+% attention compare les **valeurs absolues**|
% \begin{macrocode}
\def\xintiGeq {\romannumeral0\xintigeq }%
\def\xintigeq #1%
{%
- \expandafter\xint@geq\expandafter {\romannumeral-`0#1}%
+ \expandafter\xint_geq\expandafter {\romannumeral-`0#1}%
}%
\let\xintGeq\xintiGeq \let\xintgeq\xintigeq
-\def\xint@geq #1#2%
-{%
- \expandafter\XINT@geq@fork \romannumeral-`0#2\Z #1\Z
-}%
-\def\XINT@Geq #1#2{\romannumeral0\XINT@geq@fork #2\Z #1\Z }%
-% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% PLUS GRAND OU ÉGAL
-% ATTENTION, TESTE les VALEURS ABSOLUES
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
-% \begin{macrocode}
-\def\XINT@geq@fork #1#2\Z #3#4\Z
-{%
- \xint@UDzerofork
- #1\dummy \XINT@geq@secondiszero % |#1#2|=0
- #3\dummy \XINT@geq@firstiszero % |#1#2|>0
- 0\dummy {\xint@UDsignsfork
- #1#3\dummy \XINT@geq@minusminus
- #1-\dummy \XINT@geq@minusplus
- #3-\dummy \XINT@geq@plusminus
- --\dummy \XINT@geq@plusplus
- \xint@UDkrof }%
- \xint@UDkrof
+\def\xint_geq #1#2%
+{%
+ \expandafter\XINT_geq_fork \romannumeral-`0#2\Z #1\Z
+}%
+\def\XINT_Geq #1#2{\romannumeral0\XINT_geq_fork #2\Z #1\Z }%
+% \end{macrocode}
+% \lverb|&
+% PLUS GRAND OU ÉGAL
+% ATTENTION, TESTE les VALEURS ABSOLUES|
+% \begin{macrocode}
+\def\XINT_geq_fork #1#2\Z #3#4\Z
+{%
+ \xint_UDzerofork
+ #1\dummy \XINT_geq_secondiszero % |#1#2|=0
+ #3\dummy \XINT_geq_firstiszero % |#1#2|>0
+ 0\dummy {\xint_UDsignsfork
+ #1#3\dummy \XINT_geq_minusminus
+ #1-\dummy \XINT_geq_minusplus
+ #3-\dummy \XINT_geq_plusminus
+ --\dummy \XINT_geq_plusplus
+ \krof }%
+ \krof
{#2}{#4}#1#3%
}%
-\def\XINT@geq@secondiszero #1#2#3#4{ 1}%
-\def\XINT@geq@firstiszero #1#2#3#4{ 0}%
-\def\XINT@geq@plusplus #1#2#3#4{\XINT@geq@pre {#4#2}{#3#1}}%
-\def\XINT@geq@minusminus #1#2#3#4{\XINT@geq@pre {#2}{#1}}%
-\def\XINT@geq@minusplus #1#2#3#4{\XINT@geq@pre {#4#2}{#1}}%
-\def\XINT@geq@plusminus #1#2#3#4{\XINT@geq@pre {#2}{#3#1}}%
-\def\XINT@geq@pre #1%
+\def\XINT_geq_secondiszero #1#2#3#4{ 1}%
+\def\XINT_geq_firstiszero #1#2#3#4{ 0}%
+\def\XINT_geq_plusplus #1#2#3#4{\XINT_geq_pre {#4#2}{#3#1}}%
+\def\XINT_geq_minusminus #1#2#3#4{\XINT_geq_pre {#2}{#1}}%
+\def\XINT_geq_minusplus #1#2#3#4{\XINT_geq_pre {#4#2}{#1}}%
+\def\XINT_geq_plusminus #1#2#3#4{\XINT_geq_pre {#2}{#3#1}}%
+\def\XINT_geq_pre #1%
{%
- \expandafter\XINT@geq@@pre\expandafter
- {\romannumeral0\XINT@RQ {}#1\R\R\R\R\R\R\R\R\Z }%
+ \expandafter\XINT_geq__pre\expandafter
+ {\romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z }%
}%
-\def\XINT@geq@@pre #1#2%
+\def\XINT_geq__pre #1#2%
{%
- \expandafter\XINT@geq@A
+ \expandafter\XINT_geq_A
\expandafter1\expandafter{\expandafter}%
- \romannumeral0\XINT@RQ {}#2\R\R\R\R\R\R\R\R\Z
+ \romannumeral0\XINT_RQ {}#2\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #1 \W\X\Y\Z
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% PLUS GRAND OU ÉGAL
+% \lverb|&
+% PLUS GRAND OU ÉGAL$\
% N1 et N2 sont présentés à l'envers ET ON A RAJOUTÉ DES ZÉROS
% POUR QUE LEURS LONGUEURS À CHACUN SOIENT MULTIPLES DE 4, MAIS
-% AUCUN NE SE TERMINE EN 0000
-% routine appelée via
-% \romannumeral0\XINT@geq@A 1{}<N1>\W\X\Y\Z<N2>\W\X\Y\Z
-% ATTENTION RENVOIE 1 SI N1 < N2 ou N1 = N2 et 0 si N1 > N2
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% AUCUN NE SE TERMINE EN 0000$\
+% routine appelée via$\
+% \romannumeral0\XINT_geq_A 1{}<N1>\W\X\Y\Z<N2>\W\X\Y\Z$\
+% ATTENTION RENVOIE 1 SI N1 < N2 ou N1 = N2 et 0 si N1 > N2|
% \begin{macrocode}
-\def\XINT@geq@A #1#2#3\W\X\Y\Z #4#5#6#7%
+\def\XINT_geq_A #1#2#3\W\X\Y\Z #4#5#6#7%
{%
- \xint@w #4\xint@geq@az\W\XINT@geq@B #1{#4#5#6#7}{#2}#3\W\X\Y\Z
+ \xint_gob_til_w #4\xint_geq_az\W
+ \XINT_geq_B #1{#4#5#6#7}{#2}#3\W\X\Y\Z
}%
-\def\XINT@geq@B #1#2#3#4#5#6#7%
+\def\XINT_geq_B #1#2#3#4#5#6#7%
{%
- \xint@w #4\xint@geq@bz\W\XINT@geq@onestep #1#2{#7#6#5#4}{#3}%
+ \xint_gob_til_w #4\xint_geq_bz\W
+ \XINT_geq_onestep #1#2{#7#6#5#4}{#3}%
}%
-\def\XINT@geq@onestep #1#2#3#4#5#6%
+\def\XINT_geq_onestep #1#2#3#4#5#6%
{%
- \expandafter\XINT@geq@backtoA\the\numexpr 11#5#4#3#2-#6+#1-1\relax.%
+ \expandafter\XINT_geq_backtoA\the\numexpr 11#5#4#3#2-#6+#1-1\relax.%
}%
-\def\XINT@geq@backtoA #1#2#3.#4%
+\def\XINT_geq_backtoA #1#2#3.#4%
{%
- \XINT@geq@A #2{#3#4}%
+ \XINT_geq_A #2{#3#4}%
}%
-\def\xint@geq@bz\W\XINT@geq@onestep #1\W\X\Y\Z { 1}%
-\def\xint@geq@az\W\XINT@geq@B #1#2#3#4#5#6#7%
+\def\xint_geq_bz\W\XINT_geq_onestep #1\W\X\Y\Z { 1}%
+\def\xint_geq_az\W\XINT_geq_B #1#2#3#4#5#6#7%
{%
- \xint@w #4\xint@geq@ez\W\XINT@geq@Eenter #1%
+ \xint_gob_til_w #4\xint_geq_ez\W
+ \XINT_geq_Eenter #1%
}%
-\def\XINT@geq@Eenter #1\W\X\Y\Z { 0}%
-\def\xint@geq@ez\W\XINT@geq@Eenter #1%
+\def\XINT_geq_Eenter #1\W\X\Y\Z { 0}%
+\def\xint_geq_ez\W\XINT_geq_Eenter #1%
{%
- \xint@UDzerofork
+ \xint_UDzerofork
#1\dummy { 0} % il y a une retenue
0\dummy { 1} % pas de retenue
- \xint@UDkrof
+ \krof
}%
% \end{macrocode}
% \subsection{\csh{xintMax}}
-% \begin{verbatim}
+% \lverb|&
% The rationale is that it is more efficient than using \xintCmp.
-% 1.03 makes the code a tiny bit slower but easier to re-use for fractions.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% 1.03 makes the code a tiny bit slower but easier to re-use for fractions. |
% \begin{macrocode}
\def\xintiMax {\romannumeral0\xintimax }%
\def\xintimax #1%
{%
- \expandafter\xint@max\expandafter {\romannumeral-`0#1}%
+ \expandafter\xint_max\expandafter {\romannumeral-`0#1}%
}%
\let\xintMax\xintiMax \let\xintmax\xintimax
-\def\xint@max #1#2%
-{%
- \expandafter\XINT@max@pre\expandafter {\romannumeral-`0#2}{#1}%
-}%
-\def\XINT@max@pre #1#2{\XINT@max@fork #1\Z #2\Z {#2}{#1}}%
-\def\XINT@Max #1#2{\romannumeral0\XINT@max@fork #2\Z #1\Z {#1}{#2}}%
-% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% #3#4 vient du *premier*
-% #1#2 vient du *second*
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
-% \begin{macrocode}
-\def\XINT@max@fork #1#2\Z #3#4\Z
-{%
- \xint@UDsignsfork
- #1#3\dummy \XINT@max@minusminus % A < 0, B < 0
- #1-\dummy \XINT@max@minusplus % B < 0, A >= 0
- #3-\dummy \XINT@max@plusminus % A < 0, B >= 0
- --\dummy {\xint@UDzerosfork
- #1#3\dummy \XINT@max@zerozero % A = B = 0
- #10\dummy \XINT@max@zeroplus % B = 0, A > 0
- #30\dummy \XINT@max@pluszero % A = 0, B > 0
- 00\dummy \XINT@max@plusplus % A, B > 0
- \xint@UDkrof }%
- \xint@UDkrof
+\def\xint_max #1#2%
+{%
+ \expandafter\XINT_max_pre\expandafter {\romannumeral-`0#2}{#1}%
+}%
+\def\XINT_max_pre #1#2{\XINT_max_fork #1\Z #2\Z {#2}{#1}}%
+\def\XINT_Max #1#2{\romannumeral0\XINT_max_fork #2\Z #1\Z {#1}{#2}}%
+% \end{macrocode}
+% \lverb|&
+% #3#4 vient du *premier*,
+% #1#2 vient du *second*|
+% \begin{macrocode}
+\def\XINT_max_fork #1#2\Z #3#4\Z
+{%
+ \xint_UDsignsfork
+ #1#3\dummy \XINT_max_minusminus % A < 0, B < 0
+ #1-\dummy \XINT_max_minusplus % B < 0, A >= 0
+ #3-\dummy \XINT_max_plusminus % A < 0, B >= 0
+ --\dummy {\xint_UDzerosfork
+ #1#3\dummy \XINT_max_zerozero % A = B = 0
+ #10\dummy \XINT_max_zeroplus % B = 0, A > 0
+ #30\dummy \XINT_max_pluszero % A = 0, B > 0
+ 00\dummy \XINT_max_plusplus % A, B > 0
+ \krof }%
+ \krof
{#2}{#4}#1#3%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% A = #4#2, B = #3#1
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% A = #4#2, B = #3#1|
% \begin{macrocode}
-\def\XINT@max@zerozero #1#2#3#4{\xint@firstoftwo@andstop }%
-\def\XINT@max@zeroplus #1#2#3#4{\xint@firstoftwo@andstop }%
-\def\XINT@max@pluszero #1#2#3#4{\xint@secondoftwo@andstop }%
-\def\XINT@max@minusplus #1#2#3#4{\xint@firstoftwo@andstop }%
-\def\XINT@max@plusminus #1#2#3#4{\xint@secondoftwo@andstop }%
-\def\XINT@max@plusplus #1#2#3#4%
+\def\XINT_max_zerozero #1#2#3#4{\xint_firstoftwo_andstop }%
+\def\XINT_max_zeroplus #1#2#3#4{\xint_firstoftwo_andstop }%
+\def\XINT_max_pluszero #1#2#3#4{\xint_secondoftwo_andstop }%
+\def\XINT_max_minusplus #1#2#3#4{\xint_firstoftwo_andstop }%
+\def\XINT_max_plusminus #1#2#3#4{\xint_secondoftwo_andstop }%
+\def\XINT_max_plusplus #1#2#3#4%
{%
- \ifodd\XINT@Geq {#4#2}{#3#1}
- \expandafter\xint@firstoftwo@andstop
+ \ifodd\XINT_Geq {#4#2}{#3#1}
+ \expandafter\xint_firstoftwo_andstop
\else
- \expandafter\xint@secondoftwo@andstop
+ \expandafter\xint_secondoftwo_andstop
\fi
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% #3=-, #4=-, #1 = |B| = -B, #2 = |A| = -A
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb+#3=-, #4=-, #1 = |B| = -B, #2 = |A| = -A+
% \begin{macrocode}
-\def\XINT@max@minusminus #1#2#3#4%
+\def\XINT_max_minusminus #1#2#3#4%
{%
- \ifodd\XINT@Geq {#1}{#2}
- \expandafter\xint@firstoftwo@andstop
+ \ifodd\XINT_Geq {#1}{#2}
+ \expandafter\xint_firstoftwo_andstop
\else
- \expandafter\xint@secondoftwo@andstop
+ \expandafter\xint_secondoftwo_andstop
\fi
}%
% \end{macrocode}
@@ -6118,147 +6251,134 @@ first place.
\def\xintiMin {\romannumeral0\xintimin }%
\def\xintimin #1%
{%
- \expandafter\xint@min\expandafter {\romannumeral-`0#1}%
+ \expandafter\xint_min\expandafter {\romannumeral-`0#1}%
}%
\let\xintMin\xintiMin \let\xintmin\xintimin
-\def\xint@min #1#2%
-{%
- \expandafter\XINT@min@pre\expandafter {\romannumeral-`0#2}{#1}%
-}%
-\def\XINT@min@pre #1#2{\XINT@min@fork #1\Z #2\Z {#2}{#1}}%
-\def\XINT@Min #1#2{\romannumeral0\XINT@min@fork #2\Z #1\Z {#1}{#2}}%
-% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% #3#4 vient du *premier*
-% #1#2 vient du *second*
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
-% \begin{macrocode}
-\def\XINT@min@fork #1#2\Z #3#4\Z
-{%
- \xint@UDsignsfork
- #1#3\dummy \XINT@min@minusminus % A < 0, B < 0
- #1-\dummy \XINT@min@minusplus % B < 0, A >= 0
- #3-\dummy \XINT@min@plusminus % A < 0, B >= 0
- --\dummy {\xint@UDzerosfork
- #1#3\dummy \XINT@min@zerozero % A = B = 0
- #10\dummy \XINT@min@zeroplus % B = 0, A > 0
- #30\dummy \XINT@min@pluszero % A = 0, B > 0
- 00\dummy \XINT@min@plusplus % A, B > 0
- \xint@UDkrof }%
- \xint@UDkrof
+\def\xint_min #1#2%
+{%
+ \expandafter\XINT_min_pre\expandafter {\romannumeral-`0#2}{#1}%
+}%
+\def\XINT_min_pre #1#2{\XINT_min_fork #1\Z #2\Z {#2}{#1}}%
+\def\XINT_Min #1#2{\romannumeral0\XINT_min_fork #2\Z #1\Z {#1}{#2}}%
+% \end{macrocode}
+% \lverb|&
+% #3#4 vient du *premier*,
+% #1#2 vient du *second*|
+% \begin{macrocode}
+\def\XINT_min_fork #1#2\Z #3#4\Z
+{%
+ \xint_UDsignsfork
+ #1#3\dummy \XINT_min_minusminus % A < 0, B < 0
+ #1-\dummy \XINT_min_minusplus % B < 0, A >= 0
+ #3-\dummy \XINT_min_plusminus % A < 0, B >= 0
+ --\dummy {\xint_UDzerosfork
+ #1#3\dummy \XINT_min_zerozero % A = B = 0
+ #10\dummy \XINT_min_zeroplus % B = 0, A > 0
+ #30\dummy \XINT_min_pluszero % A = 0, B > 0
+ 00\dummy \XINT_min_plusplus % A, B > 0
+ \krof }%
+ \krof
{#2}{#4}#1#3%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% A = #4#2, B = #3#1
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% A = #4#2, B = #3#1|
% \begin{macrocode}
-\def\XINT@min@zerozero #1#2#3#4{\xint@firstoftwo@andstop }%
-\def\XINT@min@zeroplus #1#2#3#4{\xint@secondoftwo@andstop }%
-\def\XINT@min@pluszero #1#2#3#4{\xint@firstoftwo@andstop }%
-\def\XINT@min@minusplus #1#2#3#4{\xint@secondoftwo@andstop }%
-\def\XINT@min@plusminus #1#2#3#4{\xint@firstoftwo@andstop }%
-\def\XINT@min@plusplus #1#2#3#4%
+\def\XINT_min_zerozero #1#2#3#4{\xint_firstoftwo_andstop }%
+\def\XINT_min_zeroplus #1#2#3#4{\xint_secondoftwo_andstop }%
+\def\XINT_min_pluszero #1#2#3#4{\xint_firstoftwo_andstop }%
+\def\XINT_min_minusplus #1#2#3#4{\xint_secondoftwo_andstop }%
+\def\XINT_min_plusminus #1#2#3#4{\xint_firstoftwo_andstop }%
+\def\XINT_min_plusplus #1#2#3#4%
{%
- \ifodd\XINT@Geq {#4#2}{#3#1}
- \expandafter\xint@secondoftwo@andstop
+ \ifodd\XINT_Geq {#4#2}{#3#1}
+ \expandafter\xint_secondoftwo_andstop
\else
- \expandafter\xint@firstoftwo@andstop
+ \expandafter\xint_firstoftwo_andstop
\fi
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% #3=-, #4=-, #1 = |B| = -B, #2 = |A| = -A
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb+#3=-, #4=-, #1 = |B| = -B, #2 = |A| = -A+
% \begin{macrocode}
-\def\XINT@min@minusminus #1#2#3#4%
+\def\XINT_min_minusminus #1#2#3#4%
{%
- \ifodd\XINT@Geq {#1}{#2}
- \expandafter\xint@secondoftwo@andstop
+ \ifodd\XINT_Geq {#1}{#2}
+ \expandafter\xint_secondoftwo_andstop
\else
- \expandafter\xint@firstoftwo@andstop
+ \expandafter\xint_firstoftwo_andstop
\fi
}%
% \end{macrocode}
% \subsection{\csh{xintSum}, \csh{xintSumExpr}}
-% \begin{verbatim}
-% \xintSum {{a}{b}...{z}}
-% \xintSumExpr {a}{b}...{z}\relax
+% \lverb|&
+% \xintSum {{a}{b}...{z}}$\
+% \xintSumExpr {a}{b}...{z}\relax$\
% 1.03 (drastically) simplifies and makes the routines more efficient (for big
% computations). Also the way \xintSum and \xintSumExpr ...\relax are related.
% has been modified. Now \xintSumExpr \z \relax is accepted input when
% \z expands to a list of braced terms (prior only \xintSum {\z} or \xintSum \z
-% was possible).
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% was possible). |
% \begin{macrocode}
\def\xintiSum {\romannumeral0\xintisum }%
\def\xintisum #1{\xintisumexpr #1\relax }%
\def\xintiSumExpr {\romannumeral0\xintisumexpr }%
-\def\xintisumexpr {\expandafter\XINT@sumexpr\romannumeral-`0}%
+\def\xintisumexpr {\expandafter\XINT_sumexpr\romannumeral-`0}%
\let\xintSum\xintiSum \let\xintsum\xintisum
\let\xintSumExpr\xintiSumExpr \let\xintsumexpr\xintisumexpr
-\def\XINT@sumexpr {\XINT@sum@loop {0000}{0000}}%
-\def\XINT@sum@loop #1#2#3%
+\def\XINT_sumexpr {\XINT_sum_loop {0000}{0000}}%
+\def\XINT_sum_loop #1#2#3%
{%
- \expandafter\XINT@sum@checksign\romannumeral-`0#3\Z {#1}{#2}%
+ \expandafter\XINT_sum_checksign\romannumeral-`0#3\Z {#1}{#2}%
}%
-\def\XINT@sum@checksign #1%
+\def\XINT_sum_checksign #1%
{%
- \xint@relax #1\XINT@sum@finished\relax
- \xint@zero #1\XINT@sum@skipzeroinput0%
- \xint@UDsignfork
- #1\dummy \XINT@sum@N
- -\dummy {\XINT@sum@P #1}%
- \xint@UDkrof
+ \xint_gob_til_relax #1\XINT_sum_finished\relax
+ \xint_gob_til_zero #1\XINT_sum_skipzeroinput0%
+ \xint_UDsignfork
+ #1\dummy \XINT_sum_N
+ -\dummy {\XINT_sum_P #1}%
+ \krof
}%
-\def\XINT@sum@finished #1\Z #2#3%
+\def\XINT_sum_finished #1\Z #2#3%
{%
- \XINT@sub@A 1{}#3\W\X\Y\Z #2\W\X\Y\Z
+ \XINT_sub_A 1{}#3\W\X\Y\Z #2\W\X\Y\Z
}%
-\def\XINT@sum@skipzeroinput #1\xint@UDkrof #2\Z {\XINT@sum@loop }%
-\def\XINT@sum@P #1\Z #2%
+\def\XINT_sum_skipzeroinput #1\krof #2\Z {\XINT_sum_loop }%
+\def\XINT_sum_P #1\Z #2%
{%
- \expandafter\XINT@sum@loop\expandafter
+ \expandafter\XINT_sum_loop\expandafter
{\romannumeral0\expandafter
- \XINT@addr@A\expandafter0\expandafter{\expandafter}%
- \romannumeral0\XINT@RQ {}#1\R\R\R\R\R\R\R\R\Z
+ \XINT_addr_A\expandafter0\expandafter{\expandafter}%
+ \romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #2\W\X\Y\Z }%
}%
-\def\XINT@sum@N #1\Z #2#3%
+\def\XINT_sum_N #1\Z #2#3%
{%
- \expandafter\XINT@sum@NN\expandafter
+ \expandafter\XINT_sum_NN\expandafter
{\romannumeral0\expandafter
- \XINT@addr@A\expandafter0\expandafter{\expandafter}%
- \romannumeral0\XINT@RQ {}#1\R\R\R\R\R\R\R\R\Z
+ \XINT_addr_A\expandafter0\expandafter{\expandafter}%
+ \romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #3\W\X\Y\Z }{#2}%
}%
-\def\XINT@sum@NN #1#2{\XINT@sum@loop {#2}{#1}}%
+\def\XINT_sum_NN #1#2{\XINT_sum_loop {#2}{#1}}%
% \end{macrocode}
% \subsection{\csh{xintMul}}
% \begin{macrocode}
\def\xintiMul {\romannumeral0\xintimul }%
\def\xintimul #1%
{%
- \expandafter\xint@mul\expandafter {\romannumeral-`0#1}%
+ \expandafter\xint_mul\expandafter {\romannumeral-`0#1}%
}%
\let\xintMul\xintiMul \let\xintmul\xintimul
-\def\xint@mul #1#2%
+\def\xint_mul #1#2%
{%
- \expandafter\XINT@mul@fork \romannumeral-`0#2\Z #1\Z
+ \expandafter\XINT_mul_fork \romannumeral-`0#2\Z #1\Z
}%
-\def\XINT@Mul #1#2{\romannumeral0\XINT@mul@fork #2\Z #1\Z }%
+\def\XINT_Mul #1#2{\romannumeral0\XINT_mul_fork #2\Z #1\Z }%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% MULTIPLICATION
-% Ici #1#2 = 2e input et #3#4 = 1er input
+% \lverb|&
+% MULTIPLICATION$\
+% Ici #1#2 = 2e input et #3#4 = 1er input $\
% Release 1.03 adds some overhead to first compute and compare the
% lengths of the two inputs. The algorithm is asymmetrical and whether
% the first input is the longest or the shortest sometimes has a strong
@@ -6267,473 +6387,454 @@ first place.
% order does not matter as it is decided by the routine what is best.
% This is important for the extension to fractions, as there is no way
% then to generally control or guess the most frequent sizes of the
-% inputs besides actually computing their lengths.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% inputs besides actually computing their lengths. |
% \begin{macrocode}
-\def\XINT@mul@fork #1#2\Z #3#4\Z
+\def\XINT_mul_fork #1#2\Z #3#4\Z
{%
- \xint@UDzerofork
- #1\dummy \XINT@mul@zero
- #3\dummy \XINT@mul@zero
+ \xint_UDzerofork
+ #1\dummy \XINT_mul_zero
+ #3\dummy \XINT_mul_zero
0\dummy
- {\xint@UDsignsfork
- #1#3\dummy \XINT@mul@minusminus % #1 = #3 = -
- #1-\dummy {\XINT@mul@minusplus #3}% % #1 = -
- #3-\dummy {\XINT@mul@plusminus #1}% % #3 = -
- --\dummy {\XINT@mul@plusplus #1#3}%
- \xint@UDkrof }%
- \xint@UDkrof
+ {\xint_UDsignsfork
+ #1#3\dummy \XINT_mul_minusminus % #1 = #3 = -
+ #1-\dummy {\XINT_mul_minusplus #3}% % #1 = -
+ #3-\dummy {\XINT_mul_plusminus #1}% % #3 = -
+ --\dummy {\XINT_mul_plusplus #1#3}%
+ \krof }%
+ \krof
{#2}{#4}%
}%
-\def\XINT@mul@zero #1#2{ 0}%
-\def\XINT@mul@minusminus #1#2%
+\def\XINT_mul_zero #1#2{ 0}%
+\def\XINT_mul_minusminus #1#2%
{%
- \expandafter\XINT@mul@choice@a
- \expandafter{\romannumeral0\XINT@length {#2}}%
- {\romannumeral0\XINT@length {#1}}{#1}{#2}%
+ \expandafter\XINT_mul_choice_a
+ \expandafter{\romannumeral0\XINT_length {#2}}%
+ {\romannumeral0\XINT_length {#1}}{#1}{#2}%
}%
-\def\XINT@mul@minusplus #1#2#3%
+\def\XINT_mul_minusplus #1#2#3%
{%
- \expandafter\xint@minus@andstop\romannumeral0\expandafter
- \XINT@mul@choice@a
- \expandafter{\romannumeral0\XINT@length {#1#3}}%
- {\romannumeral0\XINT@length {#2}}{#2}{#1#3}%
+ \expandafter\xint_minus_andstop\romannumeral0\expandafter
+ \XINT_mul_choice_a
+ \expandafter{\romannumeral0\XINT_length {#1#3}}%
+ {\romannumeral0\XINT_length {#2}}{#2}{#1#3}%
}%
-\def\XINT@mul@plusminus #1#2#3%
+\def\XINT_mul_plusminus #1#2#3%
{%
- \expandafter\xint@minus@andstop\romannumeral0\expandafter
- \XINT@mul@choice@a
- \expandafter{\romannumeral0\XINT@length {#3}}%
- {\romannumeral0\XINT@length {#1#2}}{#1#2}{#3}%
+ \expandafter\xint_minus_andstop\romannumeral0\expandafter
+ \XINT_mul_choice_a
+ \expandafter{\romannumeral0\XINT_length {#3}}%
+ {\romannumeral0\XINT_length {#1#2}}{#1#2}{#3}%
}%
-\def\XINT@mul@plusplus #1#2#3#4%
+\def\XINT_mul_plusplus #1#2#3#4%
{%
- \expandafter\XINT@mul@choice@a
- \expandafter{\romannumeral0\XINT@length {#2#4}}%
- {\romannumeral0\XINT@length {#1#3}}{#1#3}{#2#4}%
+ \expandafter\XINT_mul_choice_a
+ \expandafter{\romannumeral0\XINT_length {#2#4}}%
+ {\romannumeral0\XINT_length {#1#3}}{#1#3}{#2#4}%
}%
-\def\XINT@mul@choice@a #1#2%
+\def\XINT_mul_choice_a #1#2%
{%
- \expandafter\XINT@mul@choice@b\expandafter{#2}{#1}%
+ \expandafter\XINT_mul_choice_b\expandafter{#2}{#1}%
}%
-\def\XINT@mul@choice@b #1#2%
+\def\XINT_mul_choice_b #1#2%
{%
\ifnum #1<5
- \expandafter\XINT@mul@choice@littlebyfirst
+ \expandafter\XINT_mul_choice_littlebyfirst
\else
\ifnum #2<5
- \expandafter\expandafter\expandafter\XINT@mul@choice@littlebysecond
+ \expandafter\expandafter\expandafter\XINT_mul_choice_littlebysecond
\else
- \expandafter\expandafter\expandafter\XINT@mul@choice@compare
+ \expandafter\expandafter\expandafter\XINT_mul_choice_compare
\fi
\fi
{#1}{#2}%
}%
-\def\XINT@mul@choice@littlebyfirst #1#2#3#4%
+\def\XINT_mul_choice_littlebyfirst #1#2#3#4%
{%
- \expandafter\XINT@mul@M
+ \expandafter\XINT_mul_M
\expandafter{\the\numexpr #3\expandafter}%
- \romannumeral0\XINT@RQ {}#4\R\R\R\R\R\R\R\R\Z \Z\Z\Z\Z
+ \romannumeral0\XINT_RQ {}#4\R\R\R\R\R\R\R\R\Z \Z\Z\Z\Z
}%
-\def\XINT@mul@choice@littlebysecond #1#2#3#4%
+\def\XINT_mul_choice_littlebysecond #1#2#3#4%
{%
- \expandafter\XINT@mul@M
+ \expandafter\XINT_mul_M
\expandafter{\the\numexpr #4\expandafter}%
- \romannumeral0\XINT@RQ {}#3\R\R\R\R\R\R\R\R\Z \Z\Z\Z\Z
+ \romannumeral0\XINT_RQ {}#3\R\R\R\R\R\R\R\R\Z \Z\Z\Z\Z
}%
-\def\XINT@mul@choice@compare #1#2%
+\def\XINT_mul_choice_compare #1#2%
{%
\ifnum #1>#2
- \expandafter \XINT@mul@choice@i
+ \expandafter \XINT_mul_choice_i
\else
- \expandafter \XINT@mul@choice@ii
+ \expandafter \XINT_mul_choice_ii
\fi
{#1}{#2}%
}%
-\def\XINT@mul@choice@i #1#2%
+\def\XINT_mul_choice_i #1#2%
{%
\ifnum #1<\numexpr\ifcase \numexpr (#2-3)/4\relax
\or 330\or 168\or 109\or 80\or 66\or 52\else 0\fi\relax
- \expandafter\XINT@mul@choice@same
+ \expandafter\XINT_mul_choice_same
\else
- \expandafter\XINT@mul@choice@permute
+ \expandafter\XINT_mul_choice_permute
\fi
}%
-\def\XINT@mul@choice@ii #1#2%
+\def\XINT_mul_choice_ii #1#2%
{%
\ifnum #2<\numexpr\ifcase \numexpr (#1-3)/4\relax
\or 330\or 168\or 109\or 80\or 66\or 52\else 0\fi\relax
- \expandafter\XINT@mul@choice@permute
+ \expandafter\XINT_mul_choice_permute
\else
- \expandafter\XINT@mul@choice@same
+ \expandafter\XINT_mul_choice_same
\fi
}%
-\def\XINT@mul@choice@same #1#2%
+\def\XINT_mul_choice_same #1#2%
{%
- \expandafter\XINT@mul@enter
- \romannumeral0\XINT@RQ {}#1\R\R\R\R\R\R\R\R\Z
+ \expandafter\XINT_mul_enter
+ \romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #2\W\X\Y\Z
}%
-\def\XINT@mul@choice@permute #1#2%
+\def\XINT_mul_choice_permute #1#2%
{%
- \expandafter\XINT@mul@enter
- \romannumeral0\XINT@RQ {}#2\R\R\R\R\R\R\R\R\Z
+ \expandafter\XINT_mul_enter
+ \romannumeral0\XINT_RQ {}#2\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #1\W\X\Y\Z
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% Cette portion de routine d'addition se branche directement sur @addr@ lorsque
+% \lverb|&
+% Cette portion de routine d'addition se branche directement sur _addr_
+% lorsque
% le premier nombre est épuisé, ce qui est garanti arriver avant le second
% nombre. Elle produit son résultat toujours sur 4n, renversé. Ses deux inputs
-% sont garantis sur 4n.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% sont garantis sur 4n.|
% \begin{macrocode}
-\def\XINT@mul@Ar #1#2#3#4#5#6%
+\def\XINT_mul_Ar #1#2#3#4#5#6%
{%
- \xint@z #6\xint@mul@br\Z\XINT@mul@Br #1{#6#5#4#3}{#2}%
+ \xint_gob_til_z #6\xint_mul_br\Z\XINT_mul_Br #1{#6#5#4#3}{#2}%
}%
-\def\xint@mul@br\Z\XINT@mul@Br #1#2%
+\def\xint_mul_br\Z\XINT_mul_Br #1#2%
{%
- \XINT@addr@AC@checkcarry #1%
+ \XINT_addr_AC_checkcarry #1%
}%
-\def\XINT@mul@Br #1#2#3#4\W\X\Y\Z #5#6#7#8%
+\def\XINT_mul_Br #1#2#3#4\W\X\Y\Z #5#6#7#8%
{%
- \expandafter\XINT@mul@ABEAr
+ \expandafter\XINT_mul_ABEAr
\the\numexpr #1+10#2+#8#7#6#5\relax.{#3}#4\W\X\Y\Z
}%
-\def\XINT@mul@ABEAr #1#2#3#4#5#6.#7%
+\def\XINT_mul_ABEAr #1#2#3#4#5#6.#7%
{%
- \XINT@mul@Ar #2{#7#6#5#4#3}%
+ \XINT_mul_Ar #2{#7#6#5#4#3}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
+% \lverb|&
% << Petite >> multiplication.
-% mul@Mr renvoie le résultat *à l'envers*, sur *4n*
-% \romannumeral0\XINT@mul@Mr {<n>}<N>\Z\Z\Z\Z
+% mul_Mr renvoie le résultat *à l'envers*, sur *4n*$\
+% \romannumeral0\XINT_mul_Mr {<n>}<N>\Z\Z\Z\Z$\
% Fait la multiplication de <N> par <n>, qui est < 10000.
-% <N> est présenté *à l'envers*, sur *4n*. Lorsque <n> vaut 0, donne 0000.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% <N> est présenté *à l'envers*, sur *4n*. Lorsque <n> vaut 0, donne 0000.|
% \begin{macrocode}
-\def\XINT@mul@Mr #1%
+\def\XINT_mul_Mr #1%
{%
- \expandafter\XINT@mul@Mr@checkifzeroorone\expandafter{\the\numexpr #1}%
+ \expandafter\XINT_mul_Mr_checkifzeroorone\expandafter{\the\numexpr #1}%
}%
-\def\XINT@mul@Mr@checkifzeroorone #1%
+\def\XINT_mul_Mr_checkifzeroorone #1%
{%
\ifcase #1
- \expandafter\XINT@mul@Mr@zero
+ \expandafter\XINT_mul_Mr_zero
\or
- \expandafter\XINT@mul@Mr@one
+ \expandafter\XINT_mul_Mr_one
\else
- \expandafter\XINT@mul@Nr
+ \expandafter\XINT_mul_Nr
\fi
{0000}{}{#1}%
}%
-\def\XINT@mul@Mr@zero #1\Z\Z\Z\Z { 0000}%
-\def\XINT@mul@Mr@one #1#2#3#4\Z\Z\Z\Z { #4}%
-\def\XINT@mul@Nr #1#2#3#4#5#6#7%
+\def\XINT_mul_Mr_zero #1\Z\Z\Z\Z { 0000}%
+\def\XINT_mul_Mr_one #1#2#3#4\Z\Z\Z\Z { #4}%
+\def\XINT_mul_Nr #1#2#3#4#5#6#7%
{%
- \xint@z #4\xint@mul@pr\Z\XINT@mul@Pr {#1}{#3}{#7#6#5#4}{#2}{#3}%
+ \xint_gob_til_z #4\xint_mul_pr\Z\XINT_mul_Pr {#1}{#3}{#7#6#5#4}{#2}{#3}%
}%
-\def\XINT@mul@Pr #1#2#3%
+\def\XINT_mul_Pr #1#2#3%
{%
- \expandafter\XINT@mul@Lr\the\numexpr 10000#1+#2*#3\relax
+ \expandafter\XINT_mul_Lr\the\numexpr 10000#1+#2*#3\relax
}%
-\def\XINT@mul@Lr 1#1#2#3#4#5#6#7#8#9%
+\def\XINT_mul_Lr 1#1#2#3#4#5#6#7#8#9%
{%
- \XINT@mul@Nr {#1#2#3#4}{#9#8#7#6#5}%
+ \XINT_mul_Nr {#1#2#3#4}{#9#8#7#6#5}%
}%
-\def\xint@mul@pr\Z\XINT@mul@Pr #1#2#3#4#5%
+\def\xint_mul_pr\Z\XINT_mul_Pr #1#2#3#4#5%
{%
- \xint@quatrezeros #1\XINT@mul@Mr@end@nocarry 0000%
- \XINT@mul@Mr@end@carry #1{#4}%
+ \xint_gob_til_zeros_iv #1\XINT_mul_Mr_end_nocarry 0000%
+ \XINT_mul_Mr_end_carry #1{#4}%
}%
-\def\XINT@mul@Mr@end@nocarry 0000\XINT@mul@Mr@end@carry 0000#1{ #1}%
-\def\XINT@mul@Mr@end@carry #1#2#3#4#5{ #5#4#3#2#1}%
+\def\XINT_mul_Mr_end_nocarry 0000\XINT_mul_Mr_end_carry 0000#1{ #1}%
+\def\XINT_mul_Mr_end_carry #1#2#3#4#5{ #5#4#3#2#1}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
+% \lverb|&
% << Petite >> multiplication.
-%renvoie le résultat *à l'endroit*, avec *nettoyage des leading zéros*.
-% \romannumeral0\XINT@mul@M {<n>}<N>\Z\Z\Z\Z
+% renvoie le résultat *à l'endroit*, avec *nettoyage des leading zéros*.$\
+% \romannumeral0\XINT_mul_M {<n>}<N>\Z\Z\Z\Z$\
% Fait la multiplication de <N> par <n>, qui est < 10000.
-% <N> est présenté *à l'envers*, sur *4n*.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% <N> est présenté *à l'envers*, sur *4n*. |
% \begin{macrocode}
-\def\XINT@mul@M #1%
+\def\XINT_mul_M #1%
{%
- \expandafter\XINT@mul@M@checkifzeroorone\expandafter{\the\numexpr #1}%
+ \expandafter\XINT_mul_M_checkifzeroorone\expandafter{\the\numexpr #1}%
}%
-\def\XINT@mul@M@checkifzeroorone #1%
+\def\XINT_mul_M_checkifzeroorone #1%
{%
\ifcase #1
- \expandafter\XINT@mul@M@zero
+ \expandafter\XINT_mul_M_zero
\or
- \expandafter\XINT@mul@M@one
+ \expandafter\XINT_mul_M_one
\else
- \expandafter\XINT@mul@N
+ \expandafter\XINT_mul_N
\fi
{0000}{}{#1}%
}%
-\def\XINT@mul@M@zero #1\Z\Z\Z\Z { 0}%
-\def\XINT@mul@M@one #1#2#3#4\Z\Z\Z\Z
+\def\XINT_mul_M_zero #1\Z\Z\Z\Z { 0}%
+\def\XINT_mul_M_one #1#2#3#4\Z\Z\Z\Z
{%
- \expandafter\xint@cleanupzeros@andstop\romannumeral0\XINT@rev{#4}%
+ \expandafter\xint_cleanupzeros_andstop\romannumeral0\XINT_rev{#4}%
}%
-\def\XINT@mul@N #1#2#3#4#5#6#7%
+\def\XINT_mul_N #1#2#3#4#5#6#7%
{%
- \xint@z #4\xint@mul@p\Z\XINT@mul@P {#1}{#3}{#7#6#5#4}{#2}{#3}%
+ \xint_gob_til_z #4\xint_mul_p\Z\XINT_mul_P {#1}{#3}{#7#6#5#4}{#2}{#3}%
}%
-\def\XINT@mul@P #1#2#3%
+\def\XINT_mul_P #1#2#3%
{%
- \expandafter\XINT@mul@L\the\numexpr 10000#1+#2*#3\relax
+ \expandafter\XINT_mul_L\the\numexpr 10000#1+#2*#3\relax
}%
-\def\XINT@mul@L 1#1#2#3#4#5#6#7#8#9%
+\def\XINT_mul_L 1#1#2#3#4#5#6#7#8#9%
{%
- \XINT@mul@N {#1#2#3#4}{#5#6#7#8#9}%
+ \XINT_mul_N {#1#2#3#4}{#5#6#7#8#9}%
}%
-\def\xint@mul@p\Z\XINT@mul@P #1#2#3#4#5%
+\def\xint_mul_p\Z\XINT_mul_P #1#2#3#4#5%
{%
- \XINT@mul@M@end #1#4%
+ \XINT_mul_M_end #1#4%
}%
-\def\XINT@mul@M@end #1#2#3#4#5#6#7#8%
+\def\XINT_mul_M_end #1#2#3#4#5#6#7#8%
{%
\expandafter\space\the\numexpr #1#2#3#4#5#6#7#8\relax
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
+% \lverb|&
% Routine de multiplication principale
-% délimiteur \W\X\Y\Z
+% délimiteur \W\X\Y\Z$\
% Le résultat partiel est toujours maintenu avec significatif à
-% droite et il a un nombre multiple de 4 de chiffres
-% \romannumeral0\XINT@mul@enter <N1>\W\X\Y\Z <N2>\W\X\Y\Z
+% droite et il a un nombre multiple de 4 de chiffres$\
+% \romannumeral0\XINT_mul_enter <N1>\W\X\Y\Z <N2>\W\X\Y\Z$\
% avec <N1> *renversé*, *longueur 4n* (zéros éventuellement ajoutés
% au-delà du chiffre le plus significatif)
% et <N2> dans l'ordre *normal*, et pas forcément longueur 4n.
-% pas de signes
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% pas de signes|
% \begin{macrocode}
-\def\XINT@mul@enter #1\W\X\Y\Z #2#3#4#5%
+\def\XINT_mul_enter #1\W\X\Y\Z #2#3#4#5%
{%
- \xint@w
- #5\xint@mul@enterw
- #4\xint@mul@enterx
- #3\xint@mul@entery
- #2\xint@mul@enterz
- \W\XINT@mul@start {#2#3#4#5}#1\W\X\Y\Z
+ \xint_gob_til_w
+ #5\xint_mul_enterw
+ #4\xint_mul_enterx
+ #3\xint_mul_entery
+ #2\xint_mul_enterz
+ \W\XINT_mul_start {#2#3#4#5}#1\W\X\Y\Z
}%
-\def\xint@mul@enterw
- #1\xint@mul@enterx
- #2\xint@mul@entery
- #3\xint@mul@enterz
- \W\XINT@mul@start #4#5\W\X\Y\Z \X\Y\Z
+\def\xint_mul_enterw
+ #1\xint_mul_enterx
+ #2\xint_mul_entery
+ #3\xint_mul_enterz
+ \W\XINT_mul_start #4#5\W\X\Y\Z \X\Y\Z
{%
- \XINT@mul@M {#3#2#1}#5\Z\Z\Z\Z
+ \XINT_mul_M {#3#2#1}#5\Z\Z\Z\Z
}%
-\def\xint@mul@enterx
- #1\xint@mul@entery
- #2\xint@mul@enterz
- \W\XINT@mul@start #3#4\W\X\Y\Z \Y\Z
+\def\xint_mul_enterx
+ #1\xint_mul_entery
+ #2\xint_mul_enterz
+ \W\XINT_mul_start #3#4\W\X\Y\Z \Y\Z
{%
- \XINT@mul@M {#2#1}#4\Z\Z\Z\Z
+ \XINT_mul_M {#2#1}#4\Z\Z\Z\Z
}%
-\def\xint@mul@entery
- #1\xint@mul@enterz
- \W\XINT@mul@start #2#3\W\X\Y\Z \Z
+\def\xint_mul_entery
+ #1\xint_mul_enterz
+ \W\XINT_mul_start #2#3\W\X\Y\Z \Z
{%
- \XINT@mul@M {#1}#3\Z\Z\Z\Z
+ \XINT_mul_M {#1}#3\Z\Z\Z\Z
}%
-\def\XINT@mul@start #1#2\W\X\Y\Z
+\def\XINT_mul_start #1#2\W\X\Y\Z
{%
- \expandafter\XINT@mul@main\expandafter
- {\romannumeral0\XINT@mul@Mr {#1}#2\Z\Z\Z\Z}#2\W\X\Y\Z
+ \expandafter\XINT_mul_main\expandafter
+ {\romannumeral0\XINT_mul_Mr {#1}#2\Z\Z\Z\Z}#2\W\X\Y\Z
}%
-\def\XINT@mul@main #1#2\W\X\Y\Z #3#4#5#6%
+\def\XINT_mul_main #1#2\W\X\Y\Z #3#4#5#6%
{%
- \xint@w
- #6\xint@mul@mainw
- #5\xint@mul@mainx
- #4\xint@mul@mainy
- #3\xint@mul@mainz
- \W\XINT@mul@compute {#1}{#3#4#5#6}#2\W\X\Y\Z
+ \xint_gob_til_w
+ #6\xint_mul_mainw
+ #5\xint_mul_mainx
+ #4\xint_mul_mainy
+ #3\xint_mul_mainz
+ \W\XINT_mul_compute {#1}{#3#4#5#6}#2\W\X\Y\Z
}%
-\def\XINT@mul@compute #1#2#3\W\X\Y\Z
+\def\XINT_mul_compute #1#2#3\W\X\Y\Z
{%
- \expandafter\XINT@mul@main\expandafter
+ \expandafter\XINT_mul_main\expandafter
{\romannumeral0\expandafter
- \XINT@mul@Ar\expandafter0\expandafter{\expandafter}%
- \romannumeral0\XINT@mul@Mr {#2}#3\Z\Z\Z\Z
+ \XINT_mul_Ar\expandafter0\expandafter{\expandafter}%
+ \romannumeral0\XINT_mul_Mr {#2}#3\Z\Z\Z\Z
\W\X\Y\Z 0000#1\W\X\Y\Z }#3\W\X\Y\Z
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
+% \lverb|&
% Ici, le deuxième nombre se termine. Fin du calcul. On utilise la variante
-% \XINT@addm@A de l'addition car on sait que le deuxième terme est au moins
+% \XINT_addm_A de l'addition car on sait que le deuxième terme est au moins
% aussi long que le premier. Lorsque le multiplicateur avait longueur 4n, la
% dernière addition a fourni le résultat à l'envers, il faut donc encore le
-% renverser.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% renverser. |
% \begin{macrocode}
-\def\xint@mul@mainw
- #1\xint@mul@mainx
- #2\xint@mul@mainy
- #3\xint@mul@mainz
- \W\XINT@mul@compute #4#5#6\W\X\Y\Z \X\Y\Z
+\def\xint_mul_mainw
+ #1\xint_mul_mainx
+ #2\xint_mul_mainy
+ #3\xint_mul_mainz
+ \W\XINT_mul_compute #4#5#6\W\X\Y\Z \X\Y\Z
{%
- \expandafter\XINT@addm@A \expandafter0\expandafter{\expandafter}%
+ \expandafter\XINT_addm_A \expandafter0\expandafter{\expandafter}%
\romannumeral0%
- \XINT@mul@Mr {#3#2#1}#6\Z\Z\Z\Z
+ \XINT_mul_Mr {#3#2#1}#6\Z\Z\Z\Z
\W\X\Y\Z 000#4\W\X\Y\Z
}%
-\def\xint@mul@mainx
- #1\xint@mul@mainy
- #2\xint@mul@mainz
- \W\XINT@mul@compute #3#4#5\W\X\Y\Z \Y\Z
+\def\xint_mul_mainx
+ #1\xint_mul_mainy
+ #2\xint_mul_mainz
+ \W\XINT_mul_compute #3#4#5\W\X\Y\Z \Y\Z
{%
- \expandafter\XINT@addm@A\expandafter
+ \expandafter\XINT_addm_A\expandafter
0\expandafter{\expandafter}%
- \romannumeral0\XINT@mul@Mr {#2#1}#5\Z\Z\Z\Z
+ \romannumeral0\XINT_mul_Mr {#2#1}#5\Z\Z\Z\Z
\W\X\Y\Z 00#3\W\X\Y\Z
}%
-\def\xint@mul@mainy
- #1\xint@mul@mainz
- \W\XINT@mul@compute #2#3#4\W\X\Y\Z \Z
+\def\xint_mul_mainy
+ #1\xint_mul_mainz
+ \W\XINT_mul_compute #2#3#4\W\X\Y\Z \Z
{%
- \expandafter\XINT@addm@A\expandafter
+ \expandafter\XINT_addm_A\expandafter
0\expandafter{\expandafter}%
- \romannumeral0\XINT@mul@Mr {#1}#4\Z\Z\Z\Z
+ \romannumeral0\XINT_mul_Mr {#1}#4\Z\Z\Z\Z
\W\X\Y\Z 0#2\W\X\Y\Z
}%
-\def\xint@mul@mainz\W\XINT@mul@compute #1#2#3\W\X\Y\Z
+\def\xint_mul_mainz\W\XINT_mul_compute #1#2#3\W\X\Y\Z
{%
- \expandafter\xint@cleanupzeros@andstop\romannumeral0\XINT@rev{#1}%
+ \expandafter\xint_cleanupzeros_andstop\romannumeral0\XINT_rev{#1}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% Variante de la Multiplication
-% \romannumeral0\XINT@mulr@enter <N1>\W\X\Y\Z <N2>\W\X\Y\Z
+% \lverb|&
+% Variante de la Multiplication$\
+% \romannumeral0\XINT_mulr_enter <N1>\W\X\Y\Z <N2>\W\X\Y\Z$\
% Ici <N1> est à l'envers sur 4n, et <N2> est à l'endroit, pas sur 4n, comme
-% dans \XINT@mul@enter, mais le résultat est lui-même fourni *à l'envers*, sur
-% *4n* (en faisant attention de ne pas avoir 0000 à la fin).
-% Utilisé par le calcul des puissances et aussi par la division.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% dans \XINT_mul_enter, mais le résultat est lui-même fourni *à l'envers*, sur
+% *4n* (en faisant attention de ne pas avoir 0000 à la fin).$\
+% Utilisé par le calcul des puissances et aussi par la division.|
% \begin{macrocode}
-\def\XINT@mulr@enter #1\W\X\Y\Z #2#3#4#5%
+\def\XINT_mulr_enter #1\W\X\Y\Z #2#3#4#5%
{%
- \xint@w
- #5\xint@mulr@enterw
- #4\xint@mulr@enterx
- #3\xint@mulr@entery
- #2\xint@mulr@enterz
- \W\XINT@mulr@start {#2#3#4#5}#1\W\X\Y\Z
+ \xint_gob_til_w
+ #5\xint_mulr_enterw
+ #4\xint_mulr_enterx
+ #3\xint_mulr_entery
+ #2\xint_mulr_enterz
+ \W\XINT_mulr_start {#2#3#4#5}#1\W\X\Y\Z
}%
-\def\xint@mulr@enterw
- #1\xint@mulr@enterx
- #2\xint@mulr@entery
- #3\xint@mulr@enterz
- \W\XINT@mulr@start #4#5\W\X\Y\Z \X\Y\Z
+\def\xint_mulr_enterw
+ #1\xint_mulr_enterx
+ #2\xint_mulr_entery
+ #3\xint_mulr_enterz
+ \W\XINT_mulr_start #4#5\W\X\Y\Z \X\Y\Z
{%
- \XINT@mul@Mr {#3#2#1}#5\Z\Z\Z\Z
+ \XINT_mul_Mr {#3#2#1}#5\Z\Z\Z\Z
}%
-\def\xint@mulr@enterx
- #1\xint@mulr@entery
- #2\xint@mulr@enterz
- \W\XINT@mulr@start #3#4\W\X\Y\Z \Y\Z
+\def\xint_mulr_enterx
+ #1\xint_mulr_entery
+ #2\xint_mulr_enterz
+ \W\XINT_mulr_start #3#4\W\X\Y\Z \Y\Z
{%
- \XINT@mul@Mr {#2#1}#4\Z\Z\Z\Z
+ \XINT_mul_Mr {#2#1}#4\Z\Z\Z\Z
}%
-\def\xint@mulr@entery
- #1\xint@mulr@enterz
- \W\XINT@mulr@start #2#3\W\X\Y\Z \Z
+\def\xint_mulr_entery
+ #1\xint_mulr_enterz
+ \W\XINT_mulr_start #2#3\W\X\Y\Z \Z
{%
- \XINT@mul@Mr {#1}#3\Z\Z\Z\Z
+ \XINT_mul_Mr {#1}#3\Z\Z\Z\Z
}%
-\def\XINT@mulr@start #1#2\W\X\Y\Z
+\def\XINT_mulr_start #1#2\W\X\Y\Z
{%
- \expandafter\XINT@mulr@main\expandafter
- {\romannumeral0\XINT@mul@Mr {#1}#2\Z\Z\Z\Z }#2\W\X\Y\Z
+ \expandafter\XINT_mulr_main\expandafter
+ {\romannumeral0\XINT_mul_Mr {#1}#2\Z\Z\Z\Z }#2\W\X\Y\Z
}%
-\def\XINT@mulr@main #1#2\W\X\Y\Z #3#4#5#6%
+\def\XINT_mulr_main #1#2\W\X\Y\Z #3#4#5#6%
{%
- \xint@w
- #6\xint@mulr@mainw
- #5\xint@mulr@mainx
- #4\xint@mulr@mainy
- #3\xint@mulr@mainz
- \W\XINT@mulr@compute {#1}{#3#4#5#6}#2\W\X\Y\Z
+ \xint_gob_til_w
+ #6\xint_mulr_mainw
+ #5\xint_mulr_mainx
+ #4\xint_mulr_mainy
+ #3\xint_mulr_mainz
+ \W\XINT_mulr_compute {#1}{#3#4#5#6}#2\W\X\Y\Z
}%
-\def\XINT@mulr@compute #1#2#3\W\X\Y\Z
+\def\XINT_mulr_compute #1#2#3\W\X\Y\Z
{%
- \expandafter\XINT@mulr@main\expandafter
+ \expandafter\XINT_mulr_main\expandafter
{\romannumeral0\expandafter
- \XINT@mul@Ar \expandafter0\expandafter{\expandafter}%
- \romannumeral0\XINT@mul@Mr {#2}#3\Z\Z\Z\Z \W\X\Y\Z 0000#1\W\X\Y\Z
+ \XINT_mul_Ar \expandafter0\expandafter{\expandafter}%
+ \romannumeral0\XINT_mul_Mr {#2}#3\Z\Z\Z\Z \W\X\Y\Z 0000#1\W\X\Y\Z
}#3\W\X\Y\Z
}%
-\def\xint@mulr@mainw
- #1\xint@mulr@mainx
- #2\xint@mulr@mainy
- #3\xint@mulr@mainz
- \W\XINT@mulr@compute #4#5#6\W\X\Y\Z \X\Y\Z
+\def\xint_mulr_mainw
+ #1\xint_mulr_mainx
+ #2\xint_mulr_mainy
+ #3\xint_mulr_mainz
+ \W\XINT_mulr_compute #4#5#6\W\X\Y\Z \X\Y\Z
{%
- \expandafter\XINT@addp@A
+ \expandafter\XINT_addp_A
\expandafter0\expandafter{\expandafter}%
- \romannumeral0\XINT@mul@Mr {#3#2#1}#6\Z\Z\Z\Z
+ \romannumeral0\XINT_mul_Mr {#3#2#1}#6\Z\Z\Z\Z
\W\X\Y\Z 000#4\W\X\Y\Z
}%
-\def\xint@mulr@mainx
- #1\xint@mulr@mainy
- #2\xint@mulr@mainz
- \W\XINT@mulr@compute #3#4#5\W\X\Y\Z \Y\Z
+\def\xint_mulr_mainx
+ #1\xint_mulr_mainy
+ #2\xint_mulr_mainz
+ \W\XINT_mulr_compute #3#4#5\W\X\Y\Z \Y\Z
{%
- \expandafter\XINT@addp@A
+ \expandafter\XINT_addp_A
\expandafter0\expandafter{\expandafter}%
- \romannumeral0\XINT@mul@Mr {#2#1}#5\Z\Z\Z\Z
+ \romannumeral0\XINT_mul_Mr {#2#1}#5\Z\Z\Z\Z
\W\X\Y\Z 00#3\W\X\Y\Z
}%
-\def\xint@mulr@mainy
- #1\xint@mulr@mainz
- \W\XINT@mulr@compute #2#3#4\W\X\Y\Z \Z
+\def\xint_mulr_mainy
+ #1\xint_mulr_mainz
+ \W\XINT_mulr_compute #2#3#4\W\X\Y\Z \Z
{%
- \expandafter\XINT@addp@A
+ \expandafter\XINT_addp_A
\expandafter0\expandafter{\expandafter}%
- \romannumeral0\XINT@mul@Mr {#1}#4\Z\Z\Z\Z
+ \romannumeral0\XINT_mul_Mr {#1}#4\Z\Z\Z\Z
\W\X\Y\Z 0#2\W\X\Y\Z
}%
-\def\xint@mulr@mainz\W\XINT@mulr@compute #1#2#3\W\X\Y\Z { #1}%
+\def\xint_mulr_mainz\W\XINT_mulr_compute #1#2#3\W\X\Y\Z { #1}%
% \end{macrocode}
% \subsection{\csh{xintSqr}}
% \begin{macrocode}
\def\xintiSqr {\romannumeral0\xintisqr }%
\def\xintisqr #1%
{%
- \expandafter\XINT@sqr\expandafter {\romannumeral0\xintiabs{#1}}%
+ \expandafter\XINT_sqr\expandafter {\romannumeral0\xintiabs{#1}}%
}%
\let\xintSqr\xintiSqr \let\xintsqr\xintisqr
-\def\XINT@sqr #1%
+\def\XINT_sqr #1%
{%
- \expandafter\XINT@mul@enter
+ \expandafter\XINT_mul_enter
\romannumeral0%
- \XINT@RQ {}#1\R\R\R\R\R\R\R\R\Z
+ \XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #1\W\X\Y\Z
}%
% \end{macrocode}
% \subsection{\csh{xintPrd}, \csh{xintPrdExpr}}
-% \begin{verbatim}
-% \xintPrd {{a}...{z}}
-% \xintPrdExpr {a}...{z}\relax
+% \lverb|&
+% \xintPrd {{a}...{z}}$\
+% \xintPrdExpr {a}...{z}\relax$\
% Release 1.02 modified the product routine. The earlier version was faster in
% situations where each new term is bigger than the product of all previous
% terms, a situation which arises in the algorithm for computing powers. The
@@ -6752,1446 +6853,1299 @@ first place.
%
% In 1.06a I suddenly decide that \xintProductExpr was a silly name, and as the
% package is new and certainly not used, I decide I may just switch to
-% \xintPrdExpr which I should have used from the beginning.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \xintPrdExpr which I should have used from the beginning.|
% \begin{macrocode}
\def\xintiPrd {\romannumeral0\xintiprd }%
\def\xintiprd #1{\xintiprdexpr #1\relax }%
\let\xintPrd\xintiPrd
\let\xintprd\xintiprd
\def\xintiPrdExpr {\romannumeral0\xintiprdexpr }%
-\def\xintiprdexpr {\expandafter\XINT@prdexpr\romannumeral-`0}%
+\def\xintiprdexpr {\expandafter\XINT_prdexpr\romannumeral-`0}%
\let\xintPrdExpr\xintiPrdExpr
\let\xintprdexpr\xintiprdexpr
-\def\XINT@prdexpr {\XINT@prod@loop@a 1\Z }%
-\def\XINT@prod@loop@a #1\Z #2%
+\def\XINT_prdexpr {\XINT_prod_loop_a 1\Z }%
+\def\XINT_prod_loop_a #1\Z #2%
{%
- \expandafter\XINT@prod@loop@b \romannumeral-`0#2\Z #1\Z \Z
+ \expandafter\XINT_prod_loop_b \romannumeral-`0#2\Z #1\Z \Z
}%
-\def\XINT@prod@loop@b #1%
+\def\XINT_prod_loop_b #1%
{%
- \xint@relax #1\XINT@prod@finished\relax
- \XINT@prod@loop@c #1%
+ \xint_gob_til_relax #1\XINT_prod_finished\relax
+ \XINT_prod_loop_c #1%
}%
-\def\XINT@prod@loop@c
+\def\XINT_prod_loop_c
{%
- \expandafter\XINT@prod@loop@a\romannumeral0\XINT@mul@fork
+ \expandafter\XINT_prod_loop_a\romannumeral0\XINT_mul_fork
}%
-\def\XINT@prod@finished #1\Z #2\Z \Z { #2}%
+\def\XINT_prod_finished #1\Z #2\Z \Z { #2}%
% \end{macrocode}
% \subsection{\csh{xintFac}}
-% \begin{verbatim}
-% Modified with 1.02 and again in 1.03 for greater efficiency. I am tempted,
-% here and elsewhere, to use \ifcase\XINT@Geq {#1}{1000000000} rather than
-% \ifnum\XINT@Length {#1}>9 but for the time being I leave things as they stand.
-% With release 1.05, rather than using \XINT@Length I opt finally for direct use
+% \lverb|&
+% Modified with 1.02 and again in 1.03 for greater efficiency. I am
+% tempted,
+% here and elsewhere, to use \ifcase\XINT_Geq {#1}{1000000000} rather than
+% \ifnum\XINT_Length {#1}>9 but for the time being I leave things as they stand.
+% With release 1.05, rather than using \XINT_Length I opt finally for direct use
% of \numexpr (which will throw a suitable number too big message), and to raise
-% the \xintError:FactorialOfTooBigNumber for argument larger than 1000000
-% (rather than 1000000000).
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% the \xintError:$\ FactorialOfTooBigNumber for argument larger than 1000000
+% (rather than 1000000000). |
% \begin{macrocode}
\def\xintFac {\romannumeral0\xintfac }%
\def\xintfac #1%
{%
- \expandafter\XINT@fac@fork\expandafter{\the\numexpr #1}%
+ \expandafter\XINT_fac_fork\expandafter{\the\numexpr #1}%
}%
-\def\XINT@fac@fork #1%
+\def\XINT_fac_fork #1%
{%
- \ifcase\XINT@Sgn {#1}
- \xint@afterfi{\expandafter\space\expandafter 1\xint@gobble }%
+ \ifcase\XINT_Sgn {#1}
+ \xint_afterfi{\expandafter\space\expandafter 1\xint_gobble_i }%
\or
- \expandafter\XINT@fac@checklength
+ \expandafter\XINT_fac_checklength
\else
- \xint@afterfi{\expandafter\xintError:FactorialOfNegativeNumber
- \expandafter\space\expandafter 1\xint@gobble }%
+ \xint_afterfi{\expandafter\xintError:FactorialOfNegativeNumber
+ \expandafter\space\expandafter 1\xint_gobble_i }%
\fi
{#1}%
}%
-\def\XINT@fac@checklength #1%
+\def\XINT_fac_checklength #1%
{%
\ifnum #1>999999
- \xint@afterfi{\expandafter\xintError:FactorialOfTooBigNumber
- \expandafter\space\expandafter 1\xint@gobble }%
+ \xint_afterfi{\expandafter\xintError:FactorialOfTooBigNumber
+ \expandafter\space\expandafter 1\xint_gobble_i }%
\else
- \xint@afterfi{\ifnum #1>9999
- \expandafter\XINT@fac@big@loop
+ \xint_afterfi{\ifnum #1>9999
+ \expandafter\XINT_fac_big_loop
\else
- \expandafter\XINT@fac@loop
+ \expandafter\XINT_fac_loop
\fi }%
\fi
{#1}%
}%
-\def\XINT@fac@big@loop #1{\XINT@fac@big@loop@main {10000}{#1}{}}%
-\def\XINT@fac@big@loop@main #1#2#3%
+\def\XINT_fac_big_loop #1{\XINT_fac_big_loop_main {10000}{#1}{}}%
+\def\XINT_fac_big_loop_main #1#2#3%
{%
\ifnum #1<#2
\expandafter
- \XINT@fac@big@loop@main
+ \XINT_fac_big_loop_main
\expandafter
{\the\numexpr #1+1\expandafter }%
\else
- \expandafter\XINT@fac@big@docomputation
+ \expandafter\XINT_fac_big_docomputation
\fi
{#2}{#3{#1}}%
}%
-\def\XINT@fac@big@docomputation #1#2%
+\def\XINT_fac_big_docomputation #1#2%
{%
- \expandafter \XINT@fac@bigcompute@loop \expandafter
- {\romannumeral0\XINT@fac@loop {9999}}#2\relax
+ \expandafter \XINT_fac_bigcompute_loop \expandafter
+ {\romannumeral0\XINT_fac_loop {9999}}#2\relax
}%
-\def\XINT@fac@bigcompute@loop #1#2%
+\def\XINT_fac_bigcompute_loop #1#2%
{%
- \xint@relax #2\XINT@fac@bigcompute@end\relax
- \expandafter\XINT@fac@bigcompute@loop\expandafter
- {\expandafter\XINT@mul@enter
- \romannumeral0\XINT@RQ {}#2\R\R\R\R\R\R\R\R\Z
+ \xint_gob_til_relax #2\XINT_fac_bigcompute_end\relax
+ \expandafter\XINT_fac_bigcompute_loop\expandafter
+ {\expandafter\XINT_mul_enter
+ \romannumeral0\XINT_RQ {}#2\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #1\W\X\Y\Z }%
}%
-\def\XINT@fac@bigcompute@end #1#2#3#4#5%
+\def\XINT_fac_bigcompute_end #1#2#3#4#5%
{%
- \XINT@fac@bigcompute@end@ #5%
+ \XINT_fac_bigcompute_end_ #5%
}%
-\def\XINT@fac@bigcompute@end@ #1\R #2\Z \W\X\Y\Z #3\W\X\Y\Z { #3}%
-\def\XINT@fac@loop #1{\XINT@fac@loop@main 1{1000}{#1}}%
-\def\XINT@fac@loop@main #1#2#3%
+\def\XINT_fac_bigcompute_end_ #1\R #2\Z \W\X\Y\Z #3\W\X\Y\Z { #3}%
+\def\XINT_fac_loop #1{\XINT_fac_loop_main 1{1000}{#1}}%
+\def\XINT_fac_loop_main #1#2#3%
{%
\ifnum #3>#1
\else
- \expandafter\XINT@fac@loop@exit
+ \expandafter\XINT_fac_loop_exit
\fi
- \expandafter\XINT@fac@loop@main\expandafter
+ \expandafter\XINT_fac_loop_main\expandafter
{\the\numexpr #1+1\expandafter }\expandafter
- {\romannumeral0\XINT@mul@Mr {#1}#2\Z\Z\Z\Z }%
+ {\romannumeral0\XINT_mul_Mr {#1}#2\Z\Z\Z\Z }%
{#3}%
}%
-\def\XINT@fac@loop@exit #1#2#3#4#5#6#7%
+\def\XINT_fac_loop_exit #1#2#3#4#5#6#7%
{%
- \XINT@fac@loop@exit@ #6%
+ \XINT_fac_loop_exit_ #6%
}%
-\def\XINT@fac@loop@exit@ #1#2#3%
+\def\XINT_fac_loop_exit_ #1#2#3%
{%
- \XINT@mul@M
+ \XINT_mul_M
}%
% \end{macrocode}
% \subsection{\csh{xintPow}}
-% \begin{verbatim}
-% 1.02 modified the \XINT@posprod routine, and this meant that the original
-% version was moved here and renamed to \XINT@pow@posprod, as it was well
+% \lverb|&
+% 1.02 modified the \XINT_posprod routine, and this meant that the
+% original
+% version was moved here and renamed to \XINT_pow_posprod, as it was well
% adapted for computing powers. Then I moved in 1.03 the special variants of
% multiplication (hence of addition) which were needed to earlier in this file.
% Modified in 1.06, the exponent is given to a \numexpr rather than twice
-% expanded.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% expanded. |
% \begin{macrocode}
\def\xintiPow {\romannumeral0\xintipow }%
\def\xintipow #1%
{%
- \expandafter\xint@pow\romannumeral-`0#1\Z%
+ \expandafter\xint_pow\romannumeral-`0#1\Z%
}%
\let\xintPow\xintiPow \let\xintpow\xintipow
-\def\xint@pow #1#2\Z
+\def\xint_pow #1#2\Z
{%
- \xint@UDsignfork
- #1\dummy \XINT@pow@Aneg
- -\dummy \XINT@pow@Anonneg
- \xint@UDkrof
+ \xint_UDsignfork
+ #1\dummy \XINT_pow_Aneg
+ -\dummy \XINT_pow_Anonneg
+ \krof
#1{#2}%
}%
-\def\XINT@pow@Aneg #1#2#3%
+\def\XINT_pow_Aneg #1#2#3%
{%
- \expandafter\XINT@pow@Aneg@\expandafter{\the\numexpr #3}{#2}%
+ \expandafter\XINT_pow_Aneg_\expandafter{\the\numexpr #3}{#2}%
}%
-\def\XINT@pow@Aneg@ #1%
+\def\XINT_pow_Aneg_ #1%
{%
\ifodd #1
- \expandafter\XINT@pow@Aneg@Bodd
+ \expandafter\XINT_pow_Aneg_Bodd
\fi
- \XINT@pow@Anonneg@ {#1}%
+ \XINT_pow_Anonneg_ {#1}%
}%
-\def\XINT@pow@Aneg@Bodd #1%
+\def\XINT_pow_Aneg_Bodd #1%
{%
- \expandafter\XINT@opp\romannumeral0\XINT@pow@Anonneg@
+ \expandafter\XINT_opp\romannumeral0\XINT_pow_Anonneg_
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% B = #3, faire le xpxp. Modified with 1.06: use of \numexpr.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% B = #3, faire le xpxp. Modified with 1.06: use of \numexpr.|
% \begin{macrocode}
-\def\XINT@pow@Anonneg #1#2#3%
+\def\XINT_pow_Anonneg #1#2#3%
{%
- \expandafter\XINT@pow@Anonneg@\expandafter {\the\numexpr #3}{#1#2}%
+ \expandafter\XINT_pow_Anonneg_\expandafter {\the\numexpr #3}{#1#2}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% #1 = B, #2 = |A|
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb+#1 = B, #2 = |A|+
% \begin{macrocode}
-\def\XINT@pow@Anonneg@ #1#2%
+\def\XINT_pow_Anonneg_ #1#2%
{%
- \ifcase\XINT@Cmp {#2}{1}
- \expandafter\XINT@pow@AisOne
+ \ifcase\XINT_Cmp {#2}{1}
+ \expandafter\XINT_pow_AisOne
\or
- \expandafter\XINT@pow@AatleastTwo
+ \expandafter\XINT_pow_AatleastTwo
\else
- \expandafter\XINT@pow@AisZero
+ \expandafter\XINT_pow_AisZero
\fi
{#1}{#2}%
}%
-\def\XINT@pow@AisOne #1#2{ 1}%
+\def\XINT_pow_AisOne #1#2{ 1}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% #1 = B
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% #1 = B|
% \begin{macrocode}
-\def\XINT@pow@AisZero #1#2%
+\def\XINT_pow_AisZero #1#2%
{%
- \ifcase\XINT@Sgn {#1}
- \xint@afterfi { 1}%
+ \ifcase\XINT_Sgn {#1}
+ \xint_afterfi { 1}%
\or
- \xint@afterfi { 0}%
+ \xint_afterfi { 0}%
\else
- \xint@afterfi {\xintError:DivisionByZero\space 0}%
+ \xint_afterfi {\xintError:DivisionByZero\space 0}%
\fi
}%
-\def\XINT@pow@AatleastTwo #1%
+\def\XINT_pow_AatleastTwo #1%
{%
- \ifcase\XINT@Sgn {#1}
- \expandafter\XINT@pow@BisZero
+ \ifcase\XINT_Sgn {#1}
+ \expandafter\XINT_pow_BisZero
\or
- \expandafter\XINT@pow@checkBlength
+ \expandafter\XINT_pow_checkBlength
\else
- \expandafter\XINT@pow@BisNegative
+ \expandafter\XINT_pow_BisNegative
\fi
{#1}%
}%
-\def\XINT@pow@BisNegative #1#2{\xintError:FractionRoundedToZero\space 0}%
-\def\XINT@pow@BisZero #1#2{ 1}%
+\def\XINT_pow_BisNegative #1#2{\xintError:FractionRoundedToZero\space 0}%
+\def\XINT_pow_BisZero #1#2{ 1}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% B = #1 > 0, A = #2 > 1. With 1.05, I replace \xintiLen{#1}>9 by direct use
+% \lverb|&
+% B = #1 > 0, A = #2 > 1. With 1.05, I replace \xintiLen{#1}>9 by direct
+% use
% of \numexpr [to generate an error message if the exponent is too large]
-% 1.06: \numexpr was already used above.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% 1.06: \numexpr was already used above.|
% \begin{macrocode}
-\def\XINT@pow@checkBlength #1#2%
+\def\XINT_pow_checkBlength #1#2%
{%
\ifnum #1>999999999
- \expandafter\XINT@pow@BtooBig
+ \expandafter\XINT_pow_BtooBig
\else
- \expandafter\XINT@pow@loop
+ \expandafter\XINT_pow_loop
\fi
- {#1}{#2}\XINT@pow@posprod
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ {#1}{#2}\XINT_pow_posprod
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
}%
-\def\XINT@pow@BtooBig #1\xint@UNDEF #2\xint@UNDEF
+\def\XINT_pow_BtooBig #1\xint_relax #2\xint_relax
{\xintError:ExponentTooBig\space 0}%
-\def\XINT@pow@loop #1#2%
+\def\XINT_pow_loop #1#2%
{%
\ifnum #1 = 1
- \expandafter\XINT@pow@loop@end
+ \expandafter\XINT_pow_loop_end
\else
- \xint@afterfi{\expandafter\XINT@pow@loop@a
+ \xint_afterfi{\expandafter\XINT_pow_loop_a
\expandafter{\the\numexpr 2*(#1/2)-#1\expandafter }% b mod 2
\expandafter{\the\numexpr #1-#1/2\expandafter }% [b/2]
\expandafter{\romannumeral0\xintisqr{#2}}}%
\fi
{{#2}}%
}%
-\def\XINT@pow@loop@end {\romannumeral0\XINT@rord@main {}\relax }%
-\def\XINT@pow@loop@a #1%
+\def\XINT_pow_loop_end {\romannumeral0\XINT_rord_main {}\relax }%
+\def\XINT_pow_loop_a #1%
{%
\ifnum #1 = 1
- \expandafter\XINT@pow@loop
+ \expandafter\XINT_pow_loop
\else
- \expandafter\XINT@pow@loop@throwaway
+ \expandafter\XINT_pow_loop_throwaway
\fi
}%
-\def\XINT@pow@loop@throwaway #1#2#3%
+\def\XINT_pow_loop_throwaway #1#2#3%
{%
- \XINT@pow@loop {#1}{#2}%
+ \XINT_pow_loop {#1}{#2}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% Routine de produit servant pour le calcul des puissances. Chaque nouveau
+% \lverb|&
+% Routine de produit servant pour le calcul des puissances. Chaque
+% nouveau
% terme est plus grand que ce qui a déjà été calculé. Par conséquent on a
% intérêt à le conserver en second dans la routine de multiplication, donc le
% précédent calcul a intérêt à avoir été donné sur 4n, à l'envers. Il faut
% donc modifier la multiplication pour qu'elle fasse cela. Ce qui oblige à
-% utiliser une version spéciale de l'addition également.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% utiliser une version spéciale de l'addition également.|
% \begin{macrocode}
-\def\XINT@pow@posprod #1%
+\def\XINT_pow_posprod #1%
{%
- \XINT@pow@pprod@checkifempty #1\Z
+ \XINT_pow_pprod_checkifempty #1\Z
}%
-\def\XINT@pow@pprod@checkifempty #1%
+\def\XINT_pow_pprod_checkifempty #1%
{%
- \xint@relax #1\XINT@pow@pprod@emptyproduct\relax
- \XINT@pow@pprod@RQfirst #1%
+ \xint_gob_til_relax #1\XINT_pow_pprod_emptyproduct\relax
+ \XINT_pow_pprod_RQfirst #1%
}%
-\def\XINT@pow@pprod@emptyproduct #1\Z { 1}%
-\def\XINT@pow@pprod@RQfirst #1\Z
+\def\XINT_pow_pprod_emptyproduct #1\Z { 1}%
+\def\XINT_pow_pprod_RQfirst #1\Z
{%
- \expandafter\XINT@pow@pprod@getnext\expandafter
- {\romannumeral0\XINT@RQ {}#1\R\R\R\R\R\R\R\R\Z}%
+ \expandafter\XINT_pow_pprod_getnext\expandafter
+ {\romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z}%
}%
-\def\XINT@pow@pprod@getnext #1#2%
+\def\XINT_pow_pprod_getnext #1#2%
{%
- \XINT@pow@pprod@checkiffinished #2\Z {#1}%
+ \XINT_pow_pprod_checkiffinished #2\Z {#1}%
}%
-\def\XINT@pow@pprod@checkiffinished #1%
+\def\XINT_pow_pprod_checkiffinished #1%
{%
- \xint@relax #1\XINT@pow@pprod@end\relax
- \XINT@pow@pprod@compute #1%
+ \xint_gob_til_relax #1\XINT_pow_pprod_end\relax
+ \XINT_pow_pprod_compute #1%
}%
-\def\XINT@pow@pprod@compute #1\Z #2%
+\def\XINT_pow_pprod_compute #1\Z #2%
{%
- \expandafter\XINT@pow@pprod@getnext\expandafter
- {\romannumeral0\XINT@mulr@enter #2\W\X\Y\Z #1\W\X\Y\Z}%
+ \expandafter\XINT_pow_pprod_getnext\expandafter
+ {\romannumeral0\XINT_mulr_enter #2\W\X\Y\Z #1\W\X\Y\Z}%
}%
-\def\XINT@pow@pprod@end\relax\XINT@pow@pprod@compute #1\Z #2%
+\def\XINT_pow_pprod_end\relax\XINT_pow_pprod_compute #1\Z #2%
{%
- \expandafter\xint@cleanupzeros@andstop
- \romannumeral0\XINT@rev {#2}%
+ \expandafter\xint_cleanupzeros_andstop
+ \romannumeral0\XINT_rev {#2}%
}%
% \end{macrocode}
% \subsection{\csh{xintDivision}, \csh{xintQuo}, \csh{xintRem}}
% \begin{macrocode}
\def\xintiQuo {\romannumeral0\xintiquo }%
\def\xintiRem {\romannumeral0\xintirem }%
-\def\xintiquo {\expandafter\xint@firstoftwo@andstop
+\def\xintiquo {\expandafter\xint_firstoftwo_andstop
\romannumeral0\xintidivision }%
-\def\xintirem {\expandafter\xint@secondoftwo@andstop
+\def\xintirem {\expandafter\xint_secondoftwo_andstop
\romannumeral0\xintidivision }%
\let\xintQuo\xintiQuo \let\xintquo\xintiquo
\let\xintRem\xintiRem \let\xintrem\xintirem
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% #1 = A, #2 = B. On calcule le quotient de A par B
-% 1.03 adds the detection of 1 for B.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% #1 = A, #2 = B. On calcule le quotient de A par B.$\
+% 1.03 adds the detection of 1 for B.|
% \begin{macrocode}
\def\xintiDivision {\romannumeral0\xintidivision }%
\def\xintidivision #1%
{%
- \expandafter\xint@division\expandafter {\romannumeral-`0#1}%
+ \expandafter\xint_division\expandafter {\romannumeral-`0#1}%
}%
\let\xintDivision\xintiDivision \let\xintdivision\xintidivision
-\def\xint@division #1#2%
+\def\xint_division #1#2%
{%
- \expandafter\XINT@div@fork \romannumeral-`0#2\Z #1\Z
+ \expandafter\XINT_div_fork \romannumeral-`0#2\Z #1\Z
}%
-\def\XINT@Division #1#2{\romannumeral0\XINT@div@fork #2\Z #1\Z }%
+\def\XINT_Division #1#2{\romannumeral0\XINT_div_fork #2\Z #1\Z }%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% #1#2 = 2e input = diviseur = B
-% #3#4 = 1er input = divisé = A
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% #1#2 = 2e input = diviseur = B.
+% #3#4 = 1er input = divisé = A|
% \begin{macrocode}
-\def\XINT@div@fork #1#2\Z #3#4\Z
+\def\XINT_div_fork #1#2\Z #3#4\Z
{%
- \xint@UDzerofork
- #1\dummy \XINT@div@BisZero
- #3\dummy \XINT@div@AisZero
+ \xint_UDzerofork
+ #1\dummy \XINT_div_BisZero
+ #3\dummy \XINT_div_AisZero
0\dummy
- {\xint@UDsignfork
- #1\dummy \XINT@div@BisNegative % B < 0
- #3\dummy \XINT@div@AisNegative % A < 0, B > 0
- -\dummy \XINT@div@plusplus % B > 0, A > 0
- \xint@UDkrof }%
- \xint@UDkrof
+ {\xint_UDsignfork
+ #1\dummy \XINT_div_BisNegative % B < 0
+ #3\dummy \XINT_div_AisNegative % A < 0, B > 0
+ -\dummy \XINT_div_plusplus % B > 0, A > 0
+ \krof }%
+ \krof
{#2}{#4}#1#3% #1#2=B, #3#4=A
}%
-\def\XINT@div@BisZero #1#2#3#4{\xintError:DivisionByZero\space {0}{0}}%
-\def\XINT@div@AisZero #1#2#3#4{ {0}{0}}%
+\def\XINT_div_BisZero #1#2#3#4{\xintError:DivisionByZero\space {0}{0}}%
+\def\XINT_div_AisZero #1#2#3#4{ {0}{0}}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% jusqu'à présent c'est facile.
-% minusplus signifie B < 0, A > 0
-% plusminus signifie B > 0, A < 0
-% Ici #3#1 correspond au diviseur B et #4#2 au divisé A
+% \lverb|&
+% jusqu'à présent c'est facile.$\
+% minusplus signifie B < 0, A > 0$\
+% plusminus signifie B > 0, A < 0$\
+% Ici #3#1 correspond au diviseur B et #4#2 au divisé A.
+%
% Cases with B<0 or especially A<0 are treated sub-optimally in terms of
% post-processing, things get reversed which could have been produced directly
-% in the wanted order, but A,B>0 is given priority for optimization.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% in the wanted order, but A,B>0 is given priority for optimization. |
% \begin{macrocode}
-\def\XINT@div@plusplus #1#2#3#4%
+\def\XINT_div_plusplus #1#2#3#4%
{%
- \XINT@div@prepare {#3#1}{#4#2}%
+ \XINT_div_prepare {#3#1}{#4#2}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% B = #3#1 < 0, A non nul positif ou négatif
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% B = #3#1 < 0, A non nul positif ou négatif|
% \begin{macrocode}
-\def\XINT@div@BisNegative #1#2#3#4%
+\def\XINT_div_BisNegative #1#2#3#4%
{%
- \expandafter\XINT@div@BisNegative@post
- \romannumeral0\XINT@div@fork #1\Z #4#2\Z
+ \expandafter\XINT_div_BisNegative_post
+ \romannumeral0\XINT_div_fork #1\Z #4#2\Z
}%
-\def\XINT@div@BisNegative@post #1%
+\def\XINT_div_BisNegative_post #1%
{%
- \expandafter\space\expandafter {\romannumeral0\XINT@opp #1}%
+ \expandafter\space\expandafter {\romannumeral0\XINT_opp #1}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% B = #3#1 > 0, A =-#2< 0
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% B = #3#1 > 0, A =-#2< 0|
% \begin{macrocode}
-\def\XINT@div@AisNegative #1#2#3#4%
+\def\XINT_div_AisNegative #1#2#3#4%
{%
- \expandafter\XINT@div@AisNegative@post
- \romannumeral0\XINT@div@prepare {#3#1}{#2}{#3#1}%
+ \expandafter\XINT_div_AisNegative_post
+ \romannumeral0\XINT_div_prepare {#3#1}{#2}{#3#1}%
}%
-\def\XINT@div@AisNegative@post #1#2%
+\def\XINT_div_AisNegative_post #1#2%
{%
- \ifcase\XINT@Sgn {#2}
- \expandafter \XINT@div@AisNegative@zerorem
+ \ifcase\XINT_Sgn {#2}
+ \expandafter \XINT_div_AisNegative_zerorem
\or
- \expandafter \XINT@div@AisNegative@posrem
+ \expandafter \XINT_div_AisNegative_posrem
\fi
{#1}{#2}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% en #3 on a une copie de B (à l'endroit)
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% en #3 on a une copie de B (à l'endroit)|
% \begin{macrocode}
-\def\XINT@div@AisNegative@zerorem #1#2#3%
+\def\XINT_div_AisNegative_zerorem #1#2#3%
{%
- \expandafter\space\expandafter {\romannumeral0\XINT@opp #1}{0}%
+ \expandafter\space\expandafter {\romannumeral0\XINT_opp #1}{0}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% #1 = quotient, #2 = reste, #3 = diviseur initial (à l'endroit)
+% \lverb!#1 = quotient, #2 = reste, #3 = diviseur initial (à l'endroit)
% remplace Reste par B - Reste, après avoir remplacé Q par -(Q+1)
-% de sorte que la formule a = qb + r, 0<= r < |b| est valable
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% de sorte que la formule a = qb + r, 0<= r < |b| est valable!
% \begin{macrocode}
-\def\XINT@div@AisNegative@posrem #1%
+\def\XINT_div_AisNegative_posrem #1%
{%
- \expandafter \XINT@div@AisNegative@posrem@b \expandafter
+ \expandafter \XINT_div_AisNegative_posrem_b \expandafter
{\romannumeral0\xintiopp{\xintiAdd {#1}{1}}}%
}%
-\def\XINT@div@AisNegative@posrem@b #1#2#3%
+\def\XINT_div_AisNegative_posrem_b #1#2#3%
{%
- \expandafter \xint@exchangetwo@keepbraces@andstop \expandafter
- {\romannumeral0\XINT@sub {#3}{#2}}{#1}%
+ \expandafter \xint_exchangetwo_keepbraces_andstop \expandafter
+ {\romannumeral0\XINT_sub {#3}{#2}}{#1}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
+% \lverb|&
% par la suite A et B sont > 0.
% #1 = B. Pour le moment à l'endroit.
-% Calcul du plus petit K = 4n >= longueur de B
-% 1.03 adds the interception of B=1
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% Calcul du plus petit K = 4n >= longueur de B$\
+% 1.03 adds the interception of B=1|
% \begin{macrocode}
-\def\XINT@div@prepare #1%
+\def\XINT_div_prepare #1%
{%
- \expandafter \XINT@div@prepareB@aa \expandafter
- {\romannumeral0\XINT@length {#1}}{#1}% B > 0 ici
+ \expandafter \XINT_div_prepareB_aa \expandafter
+ {\romannumeral0\XINT_length {#1}}{#1}% B > 0 ici
}%
-\def\XINT@div@prepareB@aa #1%
+\def\XINT_div_prepareB_aa #1%
{%
\ifnum #1=1
- \expandafter\XINT@div@prepareB@ab
+ \expandafter\XINT_div_prepareB_ab
\else
- \expandafter\XINT@div@prepareB@a
+ \expandafter\XINT_div_prepareB_a
\fi
{#1}%
}%
-\def\XINT@div@prepareB@ab #1#2%
+\def\XINT_div_prepareB_ab #1#2%
{%
\ifnum #2=1
- \expandafter\XINT@div@prepareB@BisOne
+ \expandafter\XINT_div_prepareB_BisOne
\else
- \expandafter\XINT@div@prepareB@e
+ \expandafter\XINT_div_prepareB_e
\fi {000}{3}{4}{#2}%
}%
-\def\XINT@div@prepareB@BisOne #1#2#3#4#5{ {#5}{0}}%
-\def\XINT@div@prepareB@a #1%
+\def\XINT_div_prepareB_BisOne #1#2#3#4#5{ {#5}{0}}%
+\def\XINT_div_prepareB_a #1%
{%
- \expandafter\XINT@div@prepareB@c\expandafter{\the\numexpr 4*((#1+1)/4)}{#1}%
+ \expandafter\XINT_div_prepareB_c\expandafter{\the\numexpr 4*((#1+1)/4)}{#1}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% #1 = K
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% #1 = K|
% \begin{macrocode}
-\def\XINT@div@prepareB@c #1#2%
+\def\XINT_div_prepareB_c #1#2%
{%
\ifcase \numexpr #1-#2\relax
- \expandafter\XINT@div@prepareB@d
+ \expandafter\XINT_div_prepareB_d
\or
- \expandafter\XINT@div@prepareB@di
+ \expandafter\XINT_div_prepareB_di
\or
- \expandafter\XINT@div@prepareB@dii
+ \expandafter\XINT_div_prepareB_dii
\or
- \expandafter\XINT@div@prepareB@diii
+ \expandafter\XINT_div_prepareB_diii
\fi {#1}%
}%
-\def\XINT@div@prepareB@d {\XINT@div@prepareB@e {}{0}}%
-\def\XINT@div@prepareB@di {\XINT@div@prepareB@e {0}{1}}%
-\def\XINT@div@prepareB@dii {\XINT@div@prepareB@e {00}{2}}%
-\def\XINT@div@prepareB@diii {\XINT@div@prepareB@e {000}{3}}%
+\def\XINT_div_prepareB_d {\XINT_div_prepareB_e {}{0}}%
+\def\XINT_div_prepareB_di {\XINT_div_prepareB_e {0}{1}}%
+\def\XINT_div_prepareB_dii {\XINT_div_prepareB_e {00}{2}}%
+\def\XINT_div_prepareB_diii {\XINT_div_prepareB_e {000}{3}}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% #1 = zéros à rajouter à B, #2=c, #3=K, #4 = B
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% #1 = zéros à rajouter à B, #2=c, #3=K, #4 = B|
% \begin{macrocode}
-\def\XINT@div@prepareB@e #1#2#3#4%
+\def\XINT_div_prepareB_e #1#2#3#4%
{%
- \XINT@div@prepareB@f #4#1\Z {#3}{#2}{#1}%
+ \XINT_div_prepareB_f #4#1\Z {#3}{#2}{#1}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
+% \lverb|&
% x = #1#2#3#4 = 4 premiers chiffres de B. #1 est non nul.
-% Ensuite on renverse B pour calculs plus rapides par la suite.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% Ensuite on renverse B pour calculs plus rapides par la suite.|
% \begin{macrocode}
-\def\XINT@div@prepareB@f #1#2#3#4#5\Z
+\def\XINT_div_prepareB_f #1#2#3#4#5\Z
{%
- \expandafter \XINT@div@prepareB@g \expandafter
- {\romannumeral0\XINT@rev {#1#2#3#4#5}}{#1#2#3#4}%
+ \expandafter \XINT_div_prepareB_g \expandafter
+ {\romannumeral0\XINT_rev {#1#2#3#4#5}}{#1#2#3#4}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
+% \lverb|&
% #3= K, #4 = c, #5= {} ou {0} ou {00} ou {000}, #6 = A initial
% #1 = B préparé et renversé, #2 = x = quatre premiers chiffres
-% On multiplie aussi A par 10^c.
-% B, x, K, c, {} ou {0} ou {00} ou {000}, A initial
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% On multiplie aussi A par 10^c.$\
+% B, x, K, c, {} ou {0} ou {00} ou {000}, A initial|
% \begin{macrocode}
-\def\XINT@div@prepareB@g #1#2#3#4#5#6%
+\def\XINT_div_prepareB_g #1#2#3#4#5#6%
{%
- \XINT@div@prepareA@a {#6#5}{#2}{#3}{#1}{#4}%
+ \XINT_div_prepareA_a {#6#5}{#2}{#3}{#1}{#4}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% A, x, K, B, c,
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% A, x, K, B, c, |
% \begin{macrocode}
-\def\XINT@div@prepareA@a #1%
+\def\XINT_div_prepareA_a #1%
{%
- \expandafter \XINT@div@prepareA@b \expandafter
- {\romannumeral0\XINT@length {#1}}{#1}% A >0 ici
+ \expandafter \XINT_div_prepareA_b \expandafter
+ {\romannumeral0\XINT_length {#1}}{#1}% A >0 ici
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% L0, A, x, K, B, ...
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% L0, A, x, K, B, ...|
% \begin{macrocode}
-\def\XINT@div@prepareA@b #1%
+\def\XINT_div_prepareA_b #1%
{%
- \expandafter\XINT@div@prepareA@c\expandafter{\the\numexpr 4*((#1+1)/4)}{#1}%
+ \expandafter\XINT_div_prepareA_c\expandafter{\the\numexpr 4*((#1+1)/4)}{#1}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% L, L0, A, x, K, B,...
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% L, L0, A, x, K, B,...|
% \begin{macrocode}
-\def\XINT@div@prepareA@c #1#2%
+\def\XINT_div_prepareA_c #1#2%
{%
\ifcase \numexpr #1-#2\relax
- \expandafter\XINT@div@prepareA@d
+ \expandafter\XINT_div_prepareA_d
\or
- \expandafter\XINT@div@prepareA@di
+ \expandafter\XINT_div_prepareA_di
\or
- \expandafter\XINT@div@prepareA@dii
+ \expandafter\XINT_div_prepareA_dii
\or
- \expandafter\XINT@div@prepareA@diii
+ \expandafter\XINT_div_prepareA_diii
\fi {#1}%
}%
-\def\XINT@div@prepareA@d {\XINT@div@prepareA@e {}}%
-\def\XINT@div@prepareA@di {\XINT@div@prepareA@e {0}}%
-\def\XINT@div@prepareA@dii {\XINT@div@prepareA@e {00}}%
-\def\XINT@div@prepareA@diii {\XINT@div@prepareA@e {000}}%
+\def\XINT_div_prepareA_d {\XINT_div_prepareA_e {}}%
+\def\XINT_div_prepareA_di {\XINT_div_prepareA_e {0}}%
+\def\XINT_div_prepareA_dii {\XINT_div_prepareA_e {00}}%
+\def\XINT_div_prepareA_diii {\XINT_div_prepareA_e {000}}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% #1#3 = A préparé, #2 = longueur de ce A préparé,
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% #1#3 = A préparé, #2 = longueur de ce A préparé, |
% \begin{macrocode}
-\def\XINT@div@prepareA@e #1#2#3%
+\def\XINT_div_prepareA_e #1#2#3%
{%
- \XINT@div@startswitch {#1#3}{#2}%
+ \XINT_div_startswitch {#1#3}{#2}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% A, L, x, K, B, c
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% A, L, x, K, B, c|
% \begin{macrocode}
-\def\XINT@div@startswitch #1#2#3#4%
+\def\XINT_div_startswitch #1#2#3#4%
{%
\ifnum #2 > #4
- \expandafter\XINT@div@body@a
+ \expandafter\XINT_div_body_a
\else
\ifnum #2 = #4
- \expandafter\expandafter\expandafter\XINT@div@final@a
+ \expandafter\expandafter\expandafter\XINT_div_final_a
\else
- \expandafter\expandafter\expandafter\XINT@div@finished@a
+ \expandafter\expandafter\expandafter\XINT_div_finished_a
\fi\fi {#1}{#4}{#3}{0000}{#2}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% A, K, x, Q, L, B, c
-% ---- "Finished"
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% ---- "Finished": A, K, x, Q, L, B, c|
% \begin{macrocode}
-\def\XINT@div@finished@a #1#2#3%
+\def\XINT_div_finished_a #1#2#3%
{%
- \expandafter\XINT@div@finished@b\expandafter {\romannumeral0\XINT@cuz {#1}}%
+ \expandafter\XINT_div_finished_b\expandafter {\romannumeral0\XINT_cuz {#1}}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
+% \lverb|&
% A, Q, L, B, c
-% no leading zeros in A at this stage
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% no leading zeros in A at this stage|
% \begin{macrocode}
-\def\XINT@div@finished@b #1#2#3#4#5%
+\def\XINT_div_finished_b #1#2#3#4#5%
{%
- \ifcase \XINT@Sgn {#1}
- \xint@afterfi {\XINT@div@finished@c {0}}%
+ \ifcase \XINT_Sgn {#1}
+ \xint_afterfi {\XINT_div_finished_c {0}}%
\or
- \xint@afterfi {\expandafter\XINT@div@finished@c\expandafter
- {\romannumeral0\XINT@dsh@checksignx #5\Z {#1}}%
+ \xint_afterfi {\expandafter\XINT_div_finished_c\expandafter
+ {\romannumeral0\XINT_dsh_checksignx #5\Z {#1}}%
}%
\fi
{#2}%
}%
-\def\XINT@div@finished@c #1#2%
+\def\XINT_div_finished_c #1#2%
{%
- \expandafter\space\expandafter {\romannumeral0\XINT@rev@andcuz {#2}}{#1}%
+ \expandafter\space\expandafter {\romannumeral0\XINT_rev_andcuz {#2}}{#1}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% ---- "Final"
-% A, K, x, Q, L, B, c
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% ---- "Final": A, K, x, Q, L, B, c|
% \begin{macrocode}
-\def\XINT@div@final@a #1%
+\def\XINT_div_final_a #1%
{%
- \XINT@div@final@b #1\Z
+ \XINT_div_final_b #1\Z
}%
-\def\XINT@div@final@b #1#2#3#4#5\Z
+\def\XINT_div_final_b #1#2#3#4#5\Z
{%
- \xint@quatrezeros #1#2#3#4\xint@div@final@c0000%
- \XINT@div@final@c {#1#2#3#4}{#1#2#3#4#5}%
+ \xint_gob_til_zeros_iv #1#2#3#4\xint_div_final_c0000%
+ \XINT_div_final_c {#1#2#3#4}{#1#2#3#4#5}%
}%
-\def\xint@div@final@c0000\XINT@div@final@c #1{\XINT@div@finished@a }%
+\def\xint_div_final_c0000\XINT_div_final_c #1{\XINT_div_finished_a }%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
+% \lverb|&
% a, A, K, x, Q, L, B ,c
% 1.01: code ré-écrit pour optimisations diverses.
-% 1.04: again, code rewritten for tiny speed increase (hopefully).
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% 1.04: again, code rewritten for tiny speed increase (hopefully).|
% \begin{macrocode}
-\def\XINT@div@final@c #1#2#3#4%
+\def\XINT_div_final_c #1#2#3#4%
{%
- \expandafter \XINT@div@final@da \expandafter
+ \expandafter \XINT_div_final_da \expandafter
{\the\numexpr #1-(#1/#4)*#4\expandafter }\expandafter
{\the\numexpr #1/#4\expandafter }\expandafter
- {\romannumeral0\xint@cleanupzeros@andstop #2}%
+ {\romannumeral0\xint_cleanupzeros_andstop #2}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% r, q, A sans leading zéros, Q, L, B à l'envers sur 4n, c
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% r, q, A sans leading zéros, Q, L, B à l'envers sur 4n, c|
% \begin{macrocode}
-\def\XINT@div@final@da #1%
+\def\XINT_div_final_da #1%
{%
\ifnum #1>9
- \expandafter\XINT@div@final@dP
+ \expandafter\XINT_div_final_dP
\else
- \xint@afterfi
+ \xint_afterfi
{\ifnum #1<0
- \expandafter\XINT@div@final@dN
+ \expandafter\XINT_div_final_dN
\else
- \expandafter\XINT@div@final@db
+ \expandafter\XINT_div_final_db
\fi }%
\fi
}%
-\def\XINT@div@final@dN #1%
+\def\XINT_div_final_dN #1%
{%
- \expandafter\XINT@div@final@dP\the\numexpr #1-1\relax
+ \expandafter\XINT_div_final_dP\the\numexpr #1-1\relax
}%
-\def\XINT@div@final@dP #1#2#3#4#5% q,A,Q,L,B (puis c)
+\def\XINT_div_final_dP #1#2#3#4#5% q,A,Q,L,B (puis c)
{%
- \expandafter \XINT@div@final@f \expandafter
+ \expandafter \XINT_div_final_f \expandafter
{\romannumeral0\xintisub {#2}%
- {\romannumeral0\XINT@mul@M {#1}#5\Z\Z\Z\Z }}%
- {\romannumeral0\XINT@add@A 0{}#1000\W\X\Y\Z #3\W\X\Y\Z }%
+ {\romannumeral0\XINT_mul_M {#1}#5\Z\Z\Z\Z }}%
+ {\romannumeral0\XINT_add_A 0{}#1000\W\X\Y\Z #3\W\X\Y\Z }%
}%
-\def\XINT@div@final@db #1#2#3#4#5% q,A,Q,L,B (puis c)
+\def\XINT_div_final_db #1#2#3#4#5% q,A,Q,L,B (puis c)
{%
- \expandafter\XINT@div@final@dc\expandafter
+ \expandafter\XINT_div_final_dc\expandafter
{\romannumeral0\xintisub {#2}%
- {\romannumeral0\XINT@mul@M {#1}#5\Z\Z\Z\Z }}%
+ {\romannumeral0\XINT_mul_M {#1}#5\Z\Z\Z\Z }}%
{#1}{#2}{#3}{#4}{#5}%
}%
-\def\XINT@div@final@dc #1#2%
+\def\XINT_div_final_dc #1#2%
{%
- \ifnum\XINT@Sgn{#1}<0
- \xint@afterfi {\expandafter\XINT@div@final@dP\the\numexpr #2-1\relax}%
- \else \xint@afterfi {\XINT@div@final@e {#1}#2}%
+ \ifnum\XINT_Sgn{#1}<0
+ \xint_afterfi {\expandafter\XINT_div_final_dP\the\numexpr #2-1\relax}%
+ \else \xint_afterfi {\XINT_div_final_e {#1}#2}%
\fi
}%
-\def\XINT@div@final@e #1#2#3#4#5#6% A final, q, trash, Q, L, B
+\def\XINT_div_final_e #1#2#3#4#5#6% A final, q, trash, Q, L, B
{%
- \XINT@div@final@f {#1}%
- {\romannumeral0\XINT@add@A 0{}#2000\W\X\Y\Z #4\W\X\Y\Z }%
+ \XINT_div_final_f {#1}%
+ {\romannumeral0\XINT_add_A 0{}#2000\W\X\Y\Z #4\W\X\Y\Z }%
}%
-\def\XINT@div@final@f #1#2#3% R,Q \`a d\'evelopper,c
+\def\XINT_div_final_f #1#2#3% R,Q \`a d\'evelopper,c
{%
- \ifcase \XINT@Sgn {#1}
- \xint@afterfi {\XINT@div@final@end {0}}%
+ \ifcase \XINT_Sgn {#1}
+ \xint_afterfi {\XINT_div_final_end {0}}%
\or
- \xint@afterfi {\expandafter\XINT@div@final@end\expandafter
- {\romannumeral0\XINT@dsh@checksignx #3\Z {#1}}%
+ \xint_afterfi {\expandafter\XINT_div_final_end\expandafter
+ {\romannumeral0\XINT_dsh_checksignx #3\Z {#1}}%
}%
\fi
{#2}%
}%
-\def\XINT@div@final@end #1#2%
+\def\XINT_div_final_end #1#2%
{%
\expandafter\space\expandafter {#2}{#1}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% Boucle Principale (on reviendra en div@body@b pas div@body@a)
-% A, K, x, Q, L, B, c
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% Boucle Principale (on reviendra en div_body_b pas div_body_a)$\
+% A, K, x, Q, L, B, c|
% \begin{macrocode}
-\def\XINT@div@body@a #1%
+\def\XINT_div_body_a #1%
{%
- \XINT@div@body@b #1\Z {#1}%
+ \XINT_div_body_b #1\Z {#1}%
}%
-\def\XINT@div@body@b #1#2#3#4#5#6#7#8#9\Z
+\def\XINT_div_body_b #1#2#3#4#5#6#7#8#9\Z
{%
- \XINT@div@body@c {#1#2#3#4#5#6#7#8}%
+ \XINT_div_body_c {#1#2#3#4#5#6#7#8}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% a, A, K, x, Q, L, B, c
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% a, A, K, x, Q, L, B, c|
% \begin{macrocode}
-\def\XINT@div@body@c #1#2#3%
+\def\XINT_div_body_c #1#2#3%
{%
- \XINT@div@body@d {#3}{}#2\Z {#1}{#3}%
+ \XINT_div_body_d {#3}{}#2\Z {#1}{#3}%
}%
-\def\XINT@div@body@d #1#2#3#4#5#6%
+\def\XINT_div_body_d #1#2#3#4#5#6%
{%
\ifnum #1 > 0
- \expandafter\XINT@div@body@d
+ \expandafter\XINT_div_body_d
\expandafter{\the\numexpr #1-4\expandafter }%
\else
- \expandafter\XINT@div@body@e
+ \expandafter\XINT_div_body_e
\fi
{#6#5#4#3#2}%
}%
-\def\XINT@div@body@e #1#2\Z #3%
+\def\XINT_div_body_e #1#2\Z #3%
{%
- \XINT@div@body@f {#3}{#1}{#2}%
+ \XINT_div_body_f {#3}{#1}{#2}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% a, alpha (à l'envers), alpha' (à l'endroit), K, x, Q, L, B (à l'envers), c
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% a, alpha (à l'envers), alpha' (à l'endroit), K, x, Q, L, B (à l'envers), c|
% \begin{macrocode}
-\def\XINT@div@body@f #1#2#3#4#5#6#7#8%
+\def\XINT_div_body_f #1#2#3#4#5#6#7#8%
{%
- \expandafter\XINT@div@body@gg
+ \expandafter\XINT_div_body_gg
\the\numexpr (#1+(#5+1)/2)/(#5+1)+99999\relax
{#8}{#2}{#8}{#4}{#5}{#3}{#6}{#7}{#8}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% q1 sur six chiffres (il en a 5 au max), B, alpha, B, K, x, alpha', Q, L, B, c
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% q1 sur six chiffres (il en a 5 au max), B, alpha, B, K, x, alpha', Q, L, B, c|
% \begin{macrocode}
-\def\XINT@div@body@gg #1#2#3#4#5#6%
+\def\XINT_div_body_gg #1#2#3#4#5#6%
{%
- \xint@UDzerofork
- #2\dummy \XINT@div@body@gk
- 0\dummy {\XINT@div@body@ggk #2}%
- \xint@UDkrof
+ \xint_UDzerofork
+ #2\dummy \XINT_div_body_gk
+ 0\dummy {\XINT_div_body_ggk #2}%
+ \krof
{#3#4#5#6}%
}%
-\def\XINT@div@body@gk #1#2#3%
+\def\XINT_div_body_gk #1#2#3%
{%
- \expandafter\XINT@div@body@h
- \romannumeral0\XINT@div@sub@xpxp
- {\romannumeral0\XINT@mul@Mr {#1}#2\Z\Z\Z\Z }{#3}\Z {#1}%
+ \expandafter\XINT_div_body_h
+ \romannumeral0\XINT_div_sub_xpxp
+ {\romannumeral0\XINT_mul_Mr {#1}#2\Z\Z\Z\Z }{#3}\Z {#1}%
}%
-\def\XINT@div@body@ggk #1#2#3%
+\def\XINT_div_body_ggk #1#2#3%
{%
- \expandafter \XINT@div@body@gggk \expandafter
- {\romannumeral0\XINT@mul@Mr {#1}0000#3\Z\Z\Z\Z }%
- {\romannumeral0\XINT@mul@Mr {#2}#3\Z\Z\Z\Z }%
+ \expandafter \XINT_div_body_gggk \expandafter
+ {\romannumeral0\XINT_mul_Mr {#1}0000#3\Z\Z\Z\Z }%
+ {\romannumeral0\XINT_mul_Mr {#2}#3\Z\Z\Z\Z }%
{#1#2}%
}%
-\def\XINT@div@body@gggk #1#2#3#4%
+\def\XINT_div_body_gggk #1#2#3#4%
{%
- \expandafter\XINT@div@body@h
- \romannumeral0\XINT@div@sub@xpxp
- {\romannumeral0\expandafter\XINT@mul@Ar
+ \expandafter\XINT_div_body_h
+ \romannumeral0\XINT_div_sub_xpxp
+ {\romannumeral0\expandafter\XINT_mul_Ar
\expandafter0\expandafter{\expandafter}#2\W\X\Y\Z #1\W\X\Y\Z }%
{#4}\Z {#3}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% alpha1 = alpha-q1 B, \Z, q1, B, K, x, alpha', Q, L, B, c
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% alpha1 = alpha-q1 B, \Z, q1, B, K, x, alpha', Q, L, B, c|
% \begin{macrocode}
-\def\XINT@div@body@h #1#2#3#4#5#6#7#8#9\Z
+\def\XINT_div_body_h #1#2#3#4#5#6#7#8#9\Z
{%
\ifnum #1#2#3#4>0
- \xint@afterfi{\XINT@div@body@i {#1#2#3#4#5#6#7#8}}%
+ \xint_afterfi{\XINT_div_body_i {#1#2#3#4#5#6#7#8}}%
\else
- \expandafter\XINT@div@body@k
+ \expandafter\XINT_div_body_k
\fi
{#1#2#3#4#5#6#7#8#9}%
}%
-\def\XINT@div@body@k #1#2#3%
+\def\XINT_div_body_k #1#2#3%
{%
- \XINT@div@body@l {#1}{#2}%
+ \XINT_div_body_l {#1}{#2}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% a1, alpha1 (à l'endroit), q1, B, K, x, alpha', Q, L, B, c
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% a1, alpha1 (à l'endroit), q1, B, K, x, alpha', Q, L, B, c|
% \begin{macrocode}
-\def\XINT@div@body@i #1#2#3#4#5#6%
+\def\XINT_div_body_i #1#2#3#4#5#6%
{%
- \expandafter\XINT@div@body@j
+ \expandafter\XINT_div_body_j
\expandafter{\the\numexpr (#1+(#6+1)/2)/(#6+1)-1}%
{#2}{#3}{#4}{#5}{#6}%
}%
-\def\XINT@div@body@j #1#2#3#4%
+\def\XINT_div_body_j #1#2#3#4%
{%
- \expandafter \XINT@div@body@l \expandafter
- {\romannumeral0\XINT@div@sub@xpxp
- {\romannumeral0\XINT@mul@Mr {#1}#4\Z\Z\Z\Z }{\XINT@Rev{#2}}}%
+ \expandafter \XINT_div_body_l \expandafter
+ {\romannumeral0\XINT_div_sub_xpxp
+ {\romannumeral0\XINT_mul_Mr {#1}#4\Z\Z\Z\Z }{\XINT_Rev{#2}}}%
{#3+#1}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% alpha2 (à l'endroit, ou alpha1), q1+q2 (ou q1), K, x, alpha', Q, L, B, c
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% alpha2 (à l'endroit, ou alpha1), q1+q2 (ou q1), K, x, alpha', Q, L, B, c|
% \begin{macrocode}
-\def\XINT@div@body@l #1#2#3#4#5#6#7%
+\def\XINT_div_body_l #1#2#3#4#5#6#7%
{%
- \expandafter\XINT@div@body@m
+ \expandafter\XINT_div_body_m
\the\numexpr 100000000+#2\relax {#6}{#3}{#7}{#1#5}{#4}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% chiffres de q, Q, K, L, A'=nouveau A, x, B, c
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% chiffres de q, Q, K, L, A'=nouveau A, x, B, c|
% \begin{macrocode}
-\def\XINT@div@body@m #1#2#3#4#5#6#7#8#9%
+\def\XINT_div_body_m #1#2#3#4#5#6#7#8#9%
{%
\ifnum #2#3#4#5>0
- \xint@afterfi {\XINT@div@body@n {#9#8#7#6#5#4#3#2}}%
+ \xint_afterfi {\XINT_div_body_n {#9#8#7#6#5#4#3#2}}%
\else
- \xint@afterfi {\XINT@div@body@n {#9#8#7#6}}%
+ \xint_afterfi {\XINT_div_body_n {#9#8#7#6}}%
\fi
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% q renversé, Q, K, L, A', x, B, c
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% q renversé, Q, K, L, A', x, B, c|
% \begin{macrocode}
-\def\XINT@div@body@n #1#2%
+\def\XINT_div_body_n #1#2%
{%
- \expandafter\XINT@div@body@o\expandafter
- {\romannumeral0\XINT@addr@A 0{}#1\W\X\Y\Z #2\W\X\Y\Z }%
+ \expandafter\XINT_div_body_o\expandafter
+ {\romannumeral0\XINT_addr_A 0{}#1\W\X\Y\Z #2\W\X\Y\Z }%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% q+Q, K, L, A', x, B, c
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% q+Q, K, L, A', x, B, c|
% \begin{macrocode}
-\def\XINT@div@body@o #1#2#3#4%
+\def\XINT_div_body_o #1#2#3#4%
{%
- \XINT@div@body@p {#3}{#2}{}#4\Z {#1}%
+ \XINT_div_body_p {#3}{#2}{}#4\Z {#1}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% L, K, {}, A'\Z, q+Q, x, B, c
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% L, K, {}, A'\Z, q+Q, x, B, c |
% \begin{macrocode}
-\def\XINT@div@body@p #1#2#3#4#5#6#7%
+\def\XINT_div_body_p #1#2#3#4#5#6#7%
{%
\ifnum #1 > #2
- \xint@afterfi
+ \xint_afterfi
{\ifnum #4#5#6#7 > 0
- \expandafter\XINT@div@body@q
+ \expandafter\XINT_div_body_q
\else
- \expandafter\XINT@div@body@repeatp
+ \expandafter\XINT_div_body_repeatp
\fi }%
\else
- \expandafter\XINT@div@gotofinal@a
+ \expandafter\XINT_div_gotofinal_a
\fi
{#1}{#2}{#3}#4#5#6#7%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% L, K, zeros, A' avec moins de zéros\Z, q+Q, x, B, c
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% L, K, zeros, A' avec moins de zéros\Z, q+Q, x, B, c|
% \begin{macrocode}
-\def\XINT@div@body@repeatp #1#2#3#4#5#6#7%
+\def\XINT_div_body_repeatp #1#2#3#4#5#6#7%
{%
- \expandafter\XINT@div@body@p\expandafter{\the\numexpr #1-4}{#2}{0000#3}%
+ \expandafter\XINT_div_body_p\expandafter{\the\numexpr #1-4}{#2}{0000#3}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
+% \lverb|&
% L -> L-4, zeros->zeros+0000, répéter jusqu'à ce que soit L=K
-% soit on ne trouve plus 0000
-% nouveau L, K, zeros, nouveau A=#4, \Z, Q+q (à l'envers), x, B, c
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% soit on ne trouve plus 0000$\
+% nouveau L, K, zeros, nouveau A=#4, \Z, Q+q (à l'envers), x, B, c|
% \begin{macrocode}
-\def\XINT@div@body@q #1#2#3#4\Z #5#6%
+\def\XINT_div_body_q #1#2#3#4\Z #5#6%
{%
- \XINT@div@body@b #4\Z {#4}{#2}{#6}{#3#5}{#1}%
+ \XINT_div_body_b #4\Z {#4}{#2}{#6}{#3#5}{#1}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% A, K, x, Q, L, B, c --> iterate
-% ----
-% Boucle Principale achevée
-% ATTENTION IL FAUT AJOUTER 4 ZEROS DE MOINS QUE CEUX
-% QUI ONT ÉTÉ PRÉPARÉS DANS #3!!
-% L, K (L=K), zeros, A\Z, Q, x, B, c
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% A, K, x, Q, L, B, c --> iterate$\
+% Boucle Principale achevée. ATTENTION IL FAUT AJOUTER 4 ZEROS DE MOINS QUE CEUX
+% QUI ONT ÉTÉ PRÉPARÉS DANS #3!!$\
+% L, K (L=K), zeros, A\Z, Q, x, B, c|
% \begin{macrocode}
-\def\XINT@div@gotofinal@a #1#2#3#4\Z %
+\def\XINT_div_gotofinal_a #1#2#3#4\Z %
{%
- \XINT@div@gotofinal@b #3\Z {#4}{#1}%
+ \XINT_div_gotofinal_b #3\Z {#4}{#1}%
}%
-\def\XINT@div@gotofinal@b 0000#1\Z #2#3#4#5%
+\def\XINT_div_gotofinal_b 0000#1\Z #2#3#4#5%
{%
- \XINT@div@final@a {#2}{#3}{#5}{#1#4}{#3}%
+ \XINT_div_final_a {#2}{#3}{#5}{#1#4}{#3}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% La soustraction spéciale.
+% \lverb|&
+% La soustraction spéciale.
+%
% Elle fait l'expansion (une fois pour le premier, deux fois pour le second) de
% ses arguments. Ceux-ci doivent être à l'envers sur 4n. De plus on sait a
% priori que le second est > le premier. Et le résultat de la différence est
% renvoyé **avec la même longueur que le second** (donc avec des leading zéros
-% éventuels), et *à l'endroit*.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% éventuels), et *à l'endroit*.|
% \begin{macrocode}
-\def\XINT@div@sub@xpxp #1%
+\def\XINT_div_sub_xpxp #1%
{%
- \expandafter \XINT@div@sub@xpxp@ \expandafter{#1}%
+ \expandafter \XINT_div_sub_xpxp_ \expandafter{#1}%
}%
-\def\XINT@div@sub@xpxp@ #1#2%
+\def\XINT_div_sub_xpxp_ #1#2%
{%
- \expandafter\expandafter\expandafter\XINT@div@sub@xpxp@@
+ \expandafter\expandafter\expandafter\XINT_div_sub_xpxp__
#2\W\X\Y\Z #1\W\X\Y\Z
}%
-\def\XINT@div@sub@xpxp@@
+\def\XINT_div_sub_xpxp__
{%
- \XINT@div@sub@A 1{}%
+ \XINT_div_sub_A 1{}%
}%
-\def\XINT@div@sub@A #1#2#3#4#5#6%
+\def\XINT_div_sub_A #1#2#3#4#5#6%
{%
- \xint@w #3\xint@div@sub@az\W
- \XINT@div@sub@B #1{#3#4#5#6}{#2}%
+ \xint_gob_til_w #3\xint_div_sub_az\W
+ \XINT_div_sub_B #1{#3#4#5#6}{#2}%
}%
-\def\XINT@div@sub@B #1#2#3#4\W\X\Y\Z #5#6#7#8%
+\def\XINT_div_sub_B #1#2#3#4\W\X\Y\Z #5#6#7#8%
{%
- \xint@w #5\xint@div@sub@bz\W
- \XINT@div@sub@onestep #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
+ \xint_gob_til_w #5\xint_div_sub_bz\W
+ \XINT_div_sub_onestep #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
}%
-\def\XINT@div@sub@onestep #1#2#3#4#5#6%
+\def\XINT_div_sub_onestep #1#2#3#4#5#6%
{%
- \expandafter\XINT@div@sub@backtoA\the\numexpr 11#5#4#3#2-#6+#1-1\relax.%
+ \expandafter\XINT_div_sub_backtoA\the\numexpr 11#5#4#3#2-#6+#1-1\relax.%
}%
-\def\XINT@div@sub@backtoA #1#2#3.#4%
+\def\XINT_div_sub_backtoA #1#2#3.#4%
{%
- \XINT@div@sub@A #2{#3#4}%
+ \XINT_div_sub_A #2{#3#4}%
}%
-\def\xint@div@sub@bz\W\XINT@div@sub@onestep #1#2#3#4#5#6#7%
+\def\xint_div_sub_bz\W\XINT_div_sub_onestep #1#2#3#4#5#6#7%
{%
- \xint@UDzerofork
- #1\dummy \XINT@div@sub@C %
- 0\dummy \XINT@div@sub@D % pas de retenue
- \xint@UDkrof
+ \xint_UDzerofork
+ #1\dummy \XINT_div_sub_C %
+ 0\dummy \XINT_div_sub_D % pas de retenue
+ \krof
{#7}#2#3#4#5%
}%
-\def\XINT@div@sub@D #1#2\W\X\Y\Z
+\def\XINT_div_sub_D #1#2\W\X\Y\Z
{%
\expandafter\space
\romannumeral0%
- \XINT@rord@main {}#2%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#2%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
#1%
}%
-\def\XINT@div@sub@C #1#2#3#4#5%
+\def\XINT_div_sub_C #1#2#3#4#5%
{%
- \xint@w #2\xint@div@sub@cz\W
- \XINT@div@sub@AC@onestep {#5#4#3#2}{#1}%
+ \xint_gob_til_w #2\xint_div_sub_cz\W
+ \XINT_div_sub_AC_onestep {#5#4#3#2}{#1}%
}%
-\def\XINT@div@sub@AC@onestep #1%
+\def\XINT_div_sub_AC_onestep #1%
{%
- \expandafter\XINT@div@sub@backtoC\the\numexpr 11#1-1\relax.%
+ \expandafter\XINT_div_sub_backtoC\the\numexpr 11#1-1\relax.%
}%
-\def\XINT@div@sub@backtoC #1#2#3.#4%
+\def\XINT_div_sub_backtoC #1#2#3.#4%
{%
- \XINT@div@sub@AC@checkcarry #2{#3#4}% la retenue va \^etre examin\'ee
+ \XINT_div_sub_AC_checkcarry #2{#3#4}% la retenue va \^etre examin\'ee
}%
-\def\XINT@div@sub@AC@checkcarry #1%
+\def\XINT_div_sub_AC_checkcarry #1%
{%
- \xint@one #1\xint@div@sub@AC@nocarry 1\XINT@div@sub@C
+ \xint_gob_til_one #1\xint_div_sub_AC_nocarry 1\XINT_div_sub_C
}%
-\def\xint@div@sub@AC@nocarry 1\XINT@div@sub@C #1#2\W\X\Y\Z
+\def\xint_div_sub_AC_nocarry 1\XINT_div_sub_C #1#2\W\X\Y\Z
{%
\expandafter\space
\romannumeral0%
- \XINT@rord@main {}#2%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#2%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
#1%
}%
-\def\xint@div@sub@cz\W\XINT@div@sub@AC@onestep #1#2{ #2}%
-\def\xint@div@sub@az\W\XINT@div@sub@B #1#2#3#4\Z { #3}%
+\def\xint_div_sub_cz\W\XINT_div_sub_AC_onestep #1#2{ #2}%
+\def\xint_div_sub_az\W\XINT_div_sub_B #1#2#3#4\Z { #3}%
% \end{macrocode}
-% \begin{verbatim}
-%-----------------------------------------------------------------
-%-----------------------------------------------------------------
+% \lverb|&
+% &
+% -----------------------------------------------------------------$\
+% -----------------------------------------------------------------$\
% DECIMAL OPERATIONS: FIRST DIGIT, LASTDIGIT, ODDNESS,
% MULTIPLICATION BY TEN, QUOTIENT BY TEN, QUOTIENT OR
-% MULTIPLICATION BY POWER OF TEN, SPLIT OPERATION.
-% \end{verbatim}
-% \vspace*{-2\baselineskip}
+% MULTIPLICATION BY POWER OF TEN, SPLIT OPERATION.|
% \subsection{\csh{xintFDg}}
-% \begin{verbatim}
-% FIRST DIGIT. Code simplified in 1.05. And prepared for redefinition by
-% xintfrac to parse through \xintNum
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% FIRST DIGIT. Code simplified in 1.05.
+% And prepared for redefinition by xintfrac to parse through \xintNum|
% \begin{macrocode}
\def\xintiFDg {\romannumeral0\xintifdg }%
\def\xintifdg #1%
{%
- \expandafter\XINT@fdg \romannumeral-`0#1\W\Z
+ \expandafter\XINT_fdg \romannumeral-`0#1\W\Z
}%
\let\xintFDg\xintiFDg \let\xintfdg\xintifdg
-\def\XINT@FDg #1{\romannumeral0\XINT@fdg #1\W\Z }%
-\def\XINT@fdg #1#2#3\Z
+\def\XINT_FDg #1{\romannumeral0\XINT_fdg #1\W\Z }%
+\def\XINT_fdg #1#2#3\Z
{%
- \xint@UDzerominusfork
+ \xint_UDzerominusfork
#1-\dummy { 0}% zero
0#1\dummy { #2}% negative
0-\dummy { #1}% positive
- \xint@UDkrof
+ \krof
}%
% \end{macrocode}
% \subsection{\csh{xintLDg}}
-% \begin{verbatim}
-% LAST DIGIT. Simplified in 1.05. And prepared for extension by xintfrac
-% to parse through \xintNum
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% LAST DIGIT. Simplified in 1.05. And prepared for extension by xintfrac
+% to parse through \xintNum|
% \begin{macrocode}
\def\xintiLDg {\romannumeral0\xintildg }%
\def\xintildg #1%
{%
- \expandafter\XINT@ldg\expandafter {\romannumeral-`0#1}%
+ \expandafter\XINT_ldg\expandafter {\romannumeral-`0#1}%
}%
\let\xintLDg\xintiLDg \let\xintldg\xintildg
-\def\XINT@LDg #1{\romannumeral0\XINT@ldg {#1}}%
-\def\XINT@ldg #1%
+\def\XINT_LDg #1{\romannumeral0\XINT_ldg {#1}}%
+\def\XINT_ldg #1%
{%
- \expandafter\XINT@ldg@\romannumeral0\XINT@rev {#1}\Z
+ \expandafter\XINT_ldg_\romannumeral0\XINT_rev {#1}\Z
}%
-\def\XINT@ldg@ #1#2\Z{ #1}%
+\def\XINT_ldg_ #1#2\Z{ #1}%
% \end{macrocode}
% \subsection{\csh{xintMON}}
-% \begin{verbatim}
-% MINUS ONE TO THE POWER N
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% MINUS ONE TO THE POWER N|
% \begin{macrocode}
\def\xintiMON {\romannumeral0\xintimon }%
\def\xintimon #1%
{%
\ifodd\xintiLDg {#1}
- \xint@afterfi{ -1}%
+ \xint_afterfi{ -1}%
\else
- \xint@afterfi{ 1}%
+ \xint_afterfi{ 1}%
\fi
}%
\def\xintiMMON {\romannumeral0\xintimmon }%
\def\xintimmon #1%
{%
\ifodd\xintiLDg {#1}
- \xint@afterfi{ 1}%
+ \xint_afterfi{ 1}%
\else
- \xint@afterfi{ -1}%
+ \xint_afterfi{ -1}%
\fi
}%
\let\xintMON\xintiMON \let\xintmon\xintimon
\let\xintMMON\xintiMMON \let\xintmmon\xintimmon
% \end{macrocode}
% \subsection{\csh{xintOdd}}
-% \begin{verbatim}
-% ODDNESS. 1.05 defines \xintiOdd, so \xintOdd can be modified by xintfrac
-% to parse through \xintNum.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% ODDNESS. 1.05 defines \xintiOdd, so \xintOdd can be modified by
+% xintfrac
+% to parse through \xintNum.|
% \begin{macrocode}
\def\xintiOdd {\romannumeral0\xintiodd }%
\def\xintiodd #1%
{%
\ifodd\xintiLDg{#1}
- \xint@afterfi{ 1}%
+ \xint_afterfi{ 1}%
\else
- \xint@afterfi{ 0}%
+ \xint_afterfi{ 0}%
\fi
}%
-\def\XINT@Odd #1%
+\def\XINT_Odd #1%
{\romannumeral0%
- \ifodd\XINT@LDg{#1}
- \xint@afterfi{ 1}%
+ \ifodd\XINT_LDg{#1}
+ \xint_afterfi{ 1}%
\else
- \xint@afterfi{ 0}%
+ \xint_afterfi{ 0}%
\fi
}%
\let\xintOdd\xintiOdd \let\xintodd\xintiodd
% \end{macrocode}
% \subsection{\csh{xintDSL}}
-% \begin{verbatim}
-% DECIMAL SHIFT LEFT (=MULTIPLICATION PAR 10)
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% DECIMAL SHIFT LEFT (=MULTIPLICATION PAR 10)|
% \begin{macrocode}
\def\xintDSL {\romannumeral0\xintdsl }%
\def\xintdsl #1%
{%
- \expandafter\XINT@dsl \romannumeral-`0#1\Z
+ \expandafter\XINT_dsl \romannumeral-`0#1\Z
}%
-\def\XINT@DSL #1{\romannumeral0\XINT@dsl #1\Z }%
-\def\XINT@dsl #1%
+\def\XINT_DSL #1{\romannumeral0\XINT_dsl #1\Z }%
+\def\XINT_dsl #1%
{%
- \xint@zero #1\xint@dsl@zero 0\XINT@dsl@ #1%
+ \xint_gob_til_zero #1\xint_dsl_zero 0\XINT_dsl_ #1%
}%
-\def\xint@dsl@zero 0\XINT@dsl@ 0#1\Z { 0}%
-\def\XINT@dsl@ #1\Z { #10}%
+\def\xint_dsl_zero 0\XINT_dsl_ 0#1\Z { 0}%
+\def\XINT_dsl_ #1\Z { #10}%
% \end{macrocode}
% \subsection{\csh{xintDSR}}
-% \begin{verbatim}
-% DECIMAL SHIFT RIGHT (=DIVISION PAR 10)
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% DECIMAL SHIFT RIGHT (=DIVISION PAR 10)|
% \begin{macrocode}
\def\xintDSR {\romannumeral0\xintdsr }%
\def\xintdsr #1%
{%
- \expandafter\XINT@dsr@a\expandafter {\romannumeral-`0#1}\W\Z
+ \expandafter\XINT_dsr_a\expandafter {\romannumeral-`0#1}\W\Z
}%
-\def\XINT@DSR #1{\romannumeral0\XINT@dsr@a {#1}\W\Z }%
-\def\XINT@dsr@a
+\def\XINT_DSR #1{\romannumeral0\XINT_dsr_a {#1}\W\Z }%
+\def\XINT_dsr_a
{%
- \expandafter\XINT@dsr@b\romannumeral0\XINT@rev
+ \expandafter\XINT_dsr_b\romannumeral0\XINT_rev
}%
-\def\XINT@dsr@b #1#2#3\Z
+\def\XINT_dsr_b #1#2#3\Z
{%
- \xint@w #2\xint@dsr@onedigit\W
- \xint@minus #2\xint@dsr@onedigit-%
- \expandafter\XINT@dsr@removew
- \romannumeral0\XINT@rev {#2#3}%
+ \xint_gob_til_w #2\xint_dsr_onedigit\W
+ \xint_minus #2\xint_dsr_onedigit-%
+ \expandafter\XINT_dsr_removew
+ \romannumeral0\XINT_rev {#2#3}%
}%
-\def\xint@dsr@onedigit #1\XINT@rev #2{ 0}%
-\def\XINT@dsr@removew #1\W { }%
+\def\xint_dsr_onedigit #1\XINT_rev #2{ 0}%
+\def\XINT_dsr_removew #1\W { }%
% \end{macrocode}
% \subsection{\csh{xintDSH}, \csh{xintDSHr}}
-% \begin{verbatim}
-% DECIMAL SHIFTS
-% \xintDSH {x}{A}
-% si x <= 0, fait A -> A.10^(|x|). v1.03 corrige l'oversight pour A=0.
-% si x > 0, et A >=0, fait A -> quo(A,10^(x))
-% si x > 0, et A < 0, fait A -> -quo(-A,10^(x))
-% (donc pour x > 0 c'est comme DSR itéré x fois)
+% \lverb+DECIMAL SHIFTS \xintDSH {x}{A}$\
+% si x <= 0, fait A -> A.10^(|x|). v1.03 corrige l'oversight pour A=0.n
+% si x > 0, et A >=0, fait A -> quo(A,10^(x))$\
+% si x > 0, et A < 0, fait A -> -quo(-A,10^(x))$\
+% (donc pour x > 0 c'est comme DSR itéré x fois)$\
% \xintDSHr donne le `reste' (si x<=0 donne zéro).
+%
% Release 1.06 now feeds x to a \numexpr first. I will revise the legacy code on
-% another occasion.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% another occasion.+
% \begin{macrocode}
\def\xintDSHr {\romannumeral0\xintdshr }%
\def\xintdshr #1%
{%
- \expandafter\XINT@dshr@checkxpositive \the\numexpr #1\relax\Z
+ \expandafter\XINT_dshr_checkxpositive \the\numexpr #1\relax\Z
}%
-\def\XINT@dshr@checkxpositive #1%
+\def\XINT_dshr_checkxpositive #1%
{%
- \xint@UDzerominusfork
- 0#1\dummy \XINT@dshr@xzeroorneg
- #1-\dummy \XINT@dshr@xzeroorneg
- 0-\dummy \XINT@dshr@xpositive
- \xint@UDkrof #1%
+ \xint_UDzerominusfork
+ 0#1\dummy \XINT_dshr_xzeroorneg
+ #1-\dummy \XINT_dshr_xzeroorneg
+ 0-\dummy \XINT_dshr_xpositive
+ \krof #1%
}%
-\def\XINT@dshr@xzeroorneg #1\Z #2{ 0}%
-\def\XINT@dshr@xpositive #1\Z
+\def\XINT_dshr_xzeroorneg #1\Z #2{ 0}%
+\def\XINT_dshr_xpositive #1\Z
{%
- \expandafter\xint@secondoftwo@andstop\romannumeral0\xintdsx {#1}%
+ \expandafter\xint_secondoftwo_andstop\romannumeral0\xintdsx {#1}%
}%
\def\xintDSH {\romannumeral0\xintdsh }%
\def\xintdsh #1#2%
{%
- \expandafter\xint@dsh\expandafter {\romannumeral-`0#2}{#1}%
+ \expandafter\xint_dsh\expandafter {\romannumeral-`0#2}{#1}%
}%
-\def\xint@dsh #1#2%
+\def\xint_dsh #1#2%
{%
- \expandafter\XINT@dsh@checksignx \the\numexpr #2\relax\Z {#1}%
+ \expandafter\XINT_dsh_checksignx \the\numexpr #2\relax\Z {#1}%
}%
-\def\XINT@dsh@checksignx #1%
+\def\XINT_dsh_checksignx #1%
{%
- \xint@UDzerominusfork
- #1-\dummy \XINT@dsh@xiszero
- 0#1\dummy \XINT@dsx@xisNeg@checkA % on passe direct dans DSx
- 0-\dummy {\XINT@dsh@xisPos #1}%
- \xint@UDkrof
+ \xint_UDzerominusfork
+ #1-\dummy \XINT_dsh_xiszero
+ 0#1\dummy \XINT_dsx_xisNeg_checkA % on passe direct dans DSx
+ 0-\dummy {\XINT_dsh_xisPos #1}%
+ \krof
}%
-\def\XINT@dsh@xiszero #1\Z #2{ #2}%
-\def\XINT@dsh@xisPos #1\Z #2%
+\def\XINT_dsh_xiszero #1\Z #2{ #2}%
+\def\XINT_dsh_xisPos #1\Z #2%
{%
- \expandafter\xint@firstoftwo@andstop
- \romannumeral0\XINT@dsx@checksignA #2\Z {#1}% via DSx
+ \expandafter\xint_firstoftwo_andstop
+ \romannumeral0\XINT_dsx_checksignA #2\Z {#1}% via DSx
}%
% \end{macrocode}
% \subsection{\csh{xintDSx}}
-% \begin{verbatim}
-% Je fais cette routine pour la version 1.01, après modification de
+% \lverb+Je fais cette routine pour la version 1.01, après modification de
% \xintDecSplit. Dorénavant \xintDSx fera appel à \xintDecSplit et de même
% \xintDSH fera appel à \xintDSx. J'ai donc supprimé entièrement l'ancien code
% de \xintDSH et re-écrit entièrement celui de \xintDecSplit pour x positif.
-% --> Attention le cas x=0 est traité dans la même catégorie que x > 0 <--
-% si x < 0, fait A -> A.10^(|x|)
-% si x >= 0, et A >=0, fait A -> {quo(A,10^(x))}{rem(A,10^(x))}
-% si x >= 0, et A < 0, d'abord on calcule {quo(-A,10^(x))}{rem(-A,10^(x))}
-% puis, si le premier n'est pas nul on lui donne le signe -
+%
+% --> Attention le cas x=0 est traité dans la même catégorie que x > 0 <--$\
+% si x < 0, fait A -> A.10^(|x|)$\
+% si x >= 0, et A >=0, fait A -> {quo(A,10^(x))}{rem(A,10^(x))}$\
+% si x >= 0, et A < 0, d'abord on calcule {quo(-A,10^(x))}{rem(-A,10^(x))}$\
+% puis, si le premier n'est pas nul on lui donne le signe -$\
% si le premier est nul on donne le signe - au second.
+%
% On peut donc toujours reconstituer l'original A par 10^x Q \pm R
% où il faut prendre le signe plus si Q est positif ou nul et le signe moins si
% Q est strictement négatif.
-% Release 1.06 has a faster and more compactly coded \XINT@dsx@zeroloop.
+%
+% Release 1.06 has a faster and more compactly coded \XINT_dsx_zeroloop.
% Also, x is now given to a \numexpr. The earlier code should be then
-% simplified, but I leave as is for the time being.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% simplified, but I leave as is for the time being.+
% \begin{macrocode}
\def\xintDSx {\romannumeral0\xintdsx }%
\def\xintdsx #1#2%
{%
- \expandafter\xint@dsx\expandafter {\romannumeral-`0#2}{#1}%
+ \expandafter\xint_dsx\expandafter {\romannumeral-`0#2}{#1}%
}%
-\def\xint@dsx #1#2%
+\def\xint_dsx #1#2%
{%
- \expandafter\XINT@dsx@checksignx \the\numexpr #2\relax\Z {#1}%
+ \expandafter\XINT_dsx_checksignx \the\numexpr #2\relax\Z {#1}%
}%
-\def\XINT@DSx #1#2{\romannumeral0\XINT@dsx@checksignx #1\Z {#2}}%
-\def\XINT@dsx #1#2{\XINT@dsx@checksignx #1\Z {#2}}%
-\def\XINT@dsx@checksignx #1%
+\def\XINT_DSx #1#2{\romannumeral0\XINT_dsx_checksignx #1\Z {#2}}%
+\def\XINT_dsx #1#2{\XINT_dsx_checksignx #1\Z {#2}}%
+\def\XINT_dsx_checksignx #1%
{%
- \xint@UDzerominusfork
- #1-\dummy \XINT@dsx@xisZero
- 0#1\dummy \XINT@dsx@xisNeg@checkA
- 0-\dummy {\XINT@dsx@xisPos #1}%
- \xint@UDkrof
+ \xint_UDzerominusfork
+ #1-\dummy \XINT_dsx_xisZero
+ 0#1\dummy \XINT_dsx_xisNeg_checkA
+ 0-\dummy {\XINT_dsx_xisPos #1}%
+ \krof
}%
-\def\XINT@dsx@xisZero #1\Z #2{ {#2}{0}}% attention comme x > 0
-\def\XINT@dsx@xisNeg@checkA #1\Z #2%
+\def\XINT_dsx_xisZero #1\Z #2{ {#2}{0}}% attention comme x > 0
+\def\XINT_dsx_xisNeg_checkA #1\Z #2%
{%
- \XINT@dsx@xisNeg@checkA@ #2\Z {#1}%
+ \XINT_dsx_xisNeg_checkA_ #2\Z {#1}%
}%
-\def\XINT@dsx@xisNeg@checkA@ #1#2\Z #3%
+\def\XINT_dsx_xisNeg_checkA_ #1#2\Z #3%
{%
- \xint@zero #1\XINT@dsx@xisNeg@Azero 0%
- \XINT@dsx@xisNeg@checkx {#3}{#3}\Z {#1#2}%
+ \xint_gob_til_zero #1\XINT_dsx_xisNeg_Azero 0%
+ \XINT_dsx_xisNeg_checkx {#3}{#3}\Z {#1#2}%
}%
-\def\XINT@dsx@xisNeg@Azero #1\Z #2{ 0}%
-\def\XINT@dsx@xisNeg@checkx #1%
+\def\XINT_dsx_xisNeg_Azero #1\Z #2{ 0}%
+\def\XINT_dsx_xisNeg_checkx #1%
{%
- \ifnum #1> 999999999
- \xint@afterfi
+ \ifnum #1>999999999
+ \xint_afterfi
{\xintError:TooBigDecimalShift
- \expandafter\space\expandafter 0\xint@gobble@iii }%
+ \expandafter\space\expandafter 0\xint_gobble_iii }%
\else
- \expandafter \XINT@dsx@zeroloop
+ \expandafter \XINT_dsx_zeroloop
\fi
}%
-\def\XINT@dsx@zeroloop #1%
+\def\XINT_dsx_zeroloop #1%
{%
- \ifnum #1<9 \XINT@dsx@exita\fi
- \expandafter\XINT@dsx@zeroloop\expandafter
+ \ifnum #1<9 \XINT_dsx_exita\fi
+ \expandafter\XINT_dsx_zeroloop\expandafter
{\the\numexpr #1-8}00000000%
}%
-\def\XINT@dsx@exita\fi\expandafter\XINT@dsx@zeroloop
+\def\XINT_dsx_exita\fi\expandafter\XINT_dsx_zeroloop
{%
- \fi\expandafter\XINT@dsx@exitb
+ \fi\expandafter\XINT_dsx_exitb
}%
-\def\XINT@dsx@exitb #1%
+\def\XINT_dsx_exitb #1%
{%
\expandafter\expandafter\expandafter
- \XINT@dsx@addzeros\csname xint@gobble@\romannumeral -#1\endcsname
+ \XINT_dsx_addzeros\csname xint_gobble_\romannumeral -#1\endcsname
}%
-\def\XINT@dsx@addzeros #1\Z #2{ #2#1}%
-\def\XINT@dsx@xisPos #1\Z #2%
+\def\XINT_dsx_addzeros #1\Z #2{ #2#1}%
+\def\XINT_dsx_xisPos #1\Z #2%
{%
- \XINT@dsx@checksignA #2\Z {#1}%
+ \XINT_dsx_checksignA #2\Z {#1}%
}%
-\def\XINT@dsx@checksignA #1%
+\def\XINT_dsx_checksignA #1%
{%
- \xint@UDzerominusfork
- #1-\dummy \XINT@dsx@AisZero
- 0#1\dummy \XINT@dsx@AisNeg
- 0-\dummy {\XINT@dsx@AisPos #1}%
- \xint@UDkrof
+ \xint_UDzerominusfork
+ #1-\dummy \XINT_dsx_AisZero
+ 0#1\dummy \XINT_dsx_AisNeg
+ 0-\dummy {\XINT_dsx_AisPos #1}%
+ \krof
}%
-\def\XINT@dsx@AisZero #1\Z #2{ {0}{0}}%
-\def\XINT@dsx@AisNeg #1\Z #2%
+\def\XINT_dsx_AisZero #1\Z #2{ {0}{0}}%
+\def\XINT_dsx_AisNeg #1\Z #2%
{%
- \expandafter\XINT@dsx@AisNeg@dosplit@andcheckfirst
- \romannumeral0\XINT@split@checksizex {#2}{#1}%
+ \expandafter\XINT_dsx_AisNeg_dosplit_andcheckfirst
+ \romannumeral0\XINT_split_checksizex {#2}{#1}%
}%
-\def\XINT@dsx@AisNeg@dosplit@andcheckfirst #1%
+\def\XINT_dsx_AisNeg_dosplit_andcheckfirst #1%
{%
- \XINT@dsx@AisNeg@checkiffirstempty #1\Z
+ \XINT_dsx_AisNeg_checkiffirstempty #1\Z
}%
-\def\XINT@dsx@AisNeg@checkiffirstempty #1%
+\def\XINT_dsx_AisNeg_checkiffirstempty #1%
{%
- \xint@z #1\XINT@dsx@AisNeg@finish@zero\Z
- \XINT@dsx@AisNeg@finish@notzero #1%
+ \xint_gob_til_z #1\XINT_dsx_AisNeg_finish_zero\Z
+ \XINT_dsx_AisNeg_finish_notzero #1%
}%
-\def\XINT@dsx@AisNeg@finish@zero\Z
- \XINT@dsx@AisNeg@finish@notzero\Z #1%
+\def\XINT_dsx_AisNeg_finish_zero\Z
+ \XINT_dsx_AisNeg_finish_notzero\Z #1%
{%
- \expandafter\XINT@dsx@end
- \expandafter {\romannumeral0\XINT@num {-#1}}{0}%
+ \expandafter\XINT_dsx_end
+ \expandafter {\romannumeral0\XINT_num {-#1}}{0}%
}%
-\def\XINT@dsx@AisNeg@finish@notzero #1\Z #2%
+\def\XINT_dsx_AisNeg_finish_notzero #1\Z #2%
{%
- \expandafter\XINT@dsx@end
- \expandafter {\romannumeral0\XINT@num {#2}}{-#1}%
+ \expandafter\XINT_dsx_end
+ \expandafter {\romannumeral0\XINT_num {#2}}{-#1}%
}%
-\def\XINT@dsx@AisPos #1\Z #2%
+\def\XINT_dsx_AisPos #1\Z #2%
{%
- \expandafter\XINT@dsx@AisPos@finish
- \romannumeral0\XINT@split@checksizex {#2}{#1}%
+ \expandafter\XINT_dsx_AisPos_finish
+ \romannumeral0\XINT_split_checksizex {#2}{#1}%
}%
-\def\XINT@dsx@AisPos@finish #1#2%
+\def\XINT_dsx_AisPos_finish #1#2%
{%
- \expandafter\XINT@dsx@end
- \expandafter {\romannumeral0\XINT@num {#2}}%
- {\romannumeral0\XINT@num {#1}}%
+ \expandafter\XINT_dsx_end
+ \expandafter {\romannumeral0\XINT_num {#2}}%
+ {\romannumeral0\XINT_num {#1}}%
}%
-\def\XINT@dsx@end #1#2%
+\def\XINT_dsx_end #1#2%
{%
\expandafter\space\expandafter{#2}{#1}%
}%
% \end{macrocode}
% \subsection{\csh{xintDecSplit},~\csh{xintDecSplitL},~\csh{xintDecSplitR}}
-% \begin{verbatim}
-% DECIMAL SPLIT
+% \lverb!DECIMAL SPLIT
+%
% The macro \xintDecSplit {x}{A} first replaces A with |A| (*)
% This macro cuts the number into two pieces L and R. The concatenation LR
% always reproduces |A|, and R may be empty or have leading zeros. The
@@ -8200,172 +8154,175 @@ first place.
% number. If x becomes equal to or larger than the length of the number then L
% becomes empty. If x is negative the location of the cut is |x| slots to the
% right of the left end of the number.
+%
% (*) warning: this may change in a future version. Only the behavior
% for A non-negative is guaranteed to remain the same.
-% v1.05a: \XINT@split@checksizex does not compute the length anymore, rather the
+%
+% v1.05a: \XINT_split_checksizex does not compute the length anymore, rather the
% error will be from a \numexpr; but the limit of 999999999 does not make much
% sense.
-% v1.06: Improvements in \XINT@split@fromleft@loop, \XINT@split@fromright@loop
+%
+% v1.06: Improvements in \XINT_split_fromleft_loop, \XINT_split_fromright_loop
% and related macros. More readable coding, speed gains.
-% Also, I now feed immediately a \numexpr with x. Some simplifications may then
-% be perhaps made to the code, it is kept as is for the time being.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% Also, I now feed immediately a \numexpr with x. Some simplifications should
+% probably be made to the code, which is kept as is for the time being.!
% \begin{macrocode}
\def\xintDecSplitL {\romannumeral0\xintdecsplitl }%
\def\xintDecSplitR {\romannumeral0\xintdecsplitr }%
\def\xintdecsplitl
{%
- \expandafter\xint@firstoftwo@andstop
+ \expandafter\xint_firstoftwo_andstop
\romannumeral0\xintdecsplit
}%
\def\xintdecsplitr
{%
- \expandafter\xint@secondoftwo@andstop
+ \expandafter\xint_secondoftwo_andstop
\romannumeral0\xintdecsplit
}%
\def\xintDecSplit {\romannumeral0\xintdecsplit }%
\def\xintdecsplit #1#2%
{%
- \expandafter \xint@split \expandafter
+ \expandafter \xint_split \expandafter
{\romannumeral0\xintiabs {#2}}{#1}% fait expansion de A
}%
-\def\xint@split #1#2%
+\def\xint_split #1#2%
{%
- \expandafter\XINT@split@checksizex\expandafter{\the\numexpr #2}{#1}%
+ \expandafter\XINT_split_checksizex\expandafter{\the\numexpr #2}{#1}%
}%
-\def\XINT@split@checksizex #1% 999999999 is anyhow very big, could be reduced
+\def\XINT_split_checksizex #1% 999999999 is anyhow very big, could be reduced
{%
- \ifnum\numexpr\XINT@Abs{#1}\relax > 999999999
- \xint@afterfi {\xintError:TooBigDecimalSplit\XINT@split@bigx }%
+ \ifnum\numexpr\XINT_Abs{#1}>999999999
+ \xint_afterfi {\xintError:TooBigDecimalSplit\XINT_split_bigx }%
\else
- \expandafter\XINT@split@xfork
+ \expandafter\XINT_split_xfork
\fi
#1\Z
}%
-\def\XINT@split@bigx #1\Z #2%
+\def\XINT_split_bigx #1\Z #2%
{%
- \ifcase\XINT@Sgn {#1}
- \or \xint@afterfi { {}{#2}}% positive big x
+ \ifcase\XINT_Sgn {#1}
+ \or \xint_afterfi { {}{#2}}% positive big x
\else
- \xint@afterfi { {#2}{}}% negative big x
+ \xint_afterfi { {#2}{}}% negative big x
\fi
}%
-\def\XINT@split@xfork #1%
+\def\XINT_split_xfork #1%
{%
- \xint@UDzerominusfork
- #1-\dummy \XINT@split@zerosplit
- 0#1\dummy \XINT@split@fromleft
- 0-\dummy {\XINT@split@fromright #1}%
- \xint@UDkrof
+ \xint_UDzerominusfork
+ #1-\dummy \XINT_split_zerosplit
+ 0#1\dummy \XINT_split_fromleft
+ 0-\dummy {\XINT_split_fromright #1}%
+ \krof
}%
-\def\XINT@split@zerosplit #1\Z #2{ {#2}{}}%
-\def\XINT@split@fromleft #1\Z #2%
+\def\XINT_split_zerosplit #1\Z #2{ {#2}{}}%
+\def\XINT_split_fromleft #1\Z #2%
{%
- \XINT@split@fromleft@loop {#1}{}#2\W\W\W\W\W\W\W\W\Z
+ \XINT_split_fromleft_loop {#1}{}#2\W\W\W\W\W\W\W\W\Z
}%
-\def\XINT@split@fromleft@loop #1%
+\def\XINT_split_fromleft_loop #1%
{%
- \ifnum #1<8 \XINT@split@fromleft@exita\fi
- \expandafter\XINT@split@fromleft@loop@perhaps\expandafter
- {\the\numexpr #1-8\expandafter}\XINT@split@fromleft@eight
+ \ifnum #1<8 \XINT_split_fromleft_exita\fi
+ \expandafter\XINT_split_fromleft_loop_perhaps\expandafter
+ {\the\numexpr #1-8\expandafter}\XINT_split_fromleft_eight
}%
-\def\XINT@split@fromleft@eight #1#2#3#4#5#6#7#8#9{#9{#1#2#3#4#5#6#7#8#9}}%
-\def\XINT@split@fromleft@loop@perhaps #1#2%
+\def\XINT_split_fromleft_eight #1#2#3#4#5#6#7#8#9{#9{#1#2#3#4#5#6#7#8#9}}%
+\def\XINT_split_fromleft_loop_perhaps #1#2%
{%
- \xint@w #2\XINT@split@fromleft@toofar\W\XINT@split@fromleft@loop {#1}%
+ \xint_gob_til_w #2\XINT_split_fromleft_toofar\W
+ \XINT_split_fromleft_loop {#1}%
}%
-\def\XINT@split@fromleft@toofar\W\XINT@split@fromleft@loop #1#2#3\Z
+\def\XINT_split_fromleft_toofar\W\XINT_split_fromleft_loop #1#2#3\Z
{%
- \XINT@split@fromleft@toofar@b #2\Z
+ \XINT_split_fromleft_toofar_b #2\Z
}%
-\def\XINT@split@fromleft@toofar@b #1\W #2\Z { {#1}{}}%
-\def\XINT@split@fromleft@exita\fi
- \expandafter\XINT@split@fromleft@loop@perhaps\expandafter #1#2%
- {\fi \XINT@split@fromleft@exitb #1}%
-\def\XINT@split@fromleft@exitb\the\numexpr #1-8\expandafter
+\def\XINT_split_fromleft_toofar_b #1\W #2\Z { {#1}{}}%
+\def\XINT_split_fromleft_exita\fi
+ \expandafter\XINT_split_fromleft_loop_perhaps\expandafter #1#2%
+ {\fi \XINT_split_fromleft_exitb #1}%
+\def\XINT_split_fromleft_exitb\the\numexpr #1-8\expandafter
{%
- \csname XINT@split@fromleft@endsplit@\romannumeral #1\endcsname
+ \csname XINT_split_fromleft_endsplit_\romannumeral #1\endcsname
}%
-\def\XINT@split@fromleft@endsplit@ #1#2\W #3\Z { {#1}{#2}}%
-\def\XINT@split@fromleft@endsplit@i #1#2%
- {\XINT@split@fromleft@checkiftoofar #2{#1#2}}%
-\def\XINT@split@fromleft@endsplit@ii #1#2#3%
- {\XINT@split@fromleft@checkiftoofar #3{#1#2#3}}%
-\def\XINT@split@fromleft@endsplit@iii #1#2#3#4%
- {\XINT@split@fromleft@checkiftoofar #4{#1#2#3#4}}%
-\def\XINT@split@fromleft@endsplit@iv #1#2#3#4#5%
- {\XINT@split@fromleft@checkiftoofar #5{#1#2#3#4#5}}%
-\def\XINT@split@fromleft@endsplit@v #1#2#3#4#5#6%
- {\XINT@split@fromleft@checkiftoofar #6{#1#2#3#4#5#6}}%
-\def\XINT@split@fromleft@endsplit@vi #1#2#3#4#5#6#7%
- {\XINT@split@fromleft@checkiftoofar #7{#1#2#3#4#5#6#7}}%
-\def\XINT@split@fromleft@endsplit@vii #1#2#3#4#5#6#7#8%
- {\XINT@split@fromleft@checkiftoofar #8{#1#2#3#4#5#6#7#8}}%
-\def\XINT@split@fromleft@checkiftoofar #1#2#3\W #4\Z
+\def\XINT_split_fromleft_endsplit_ #1#2\W #3\Z { {#1}{#2}}%
+\def\XINT_split_fromleft_endsplit_i #1#2%
+ {\XINT_split_fromleft_checkiftoofar #2{#1#2}}%
+\def\XINT_split_fromleft_endsplit_ii #1#2#3%
+ {\XINT_split_fromleft_checkiftoofar #3{#1#2#3}}%
+\def\XINT_split_fromleft_endsplit_iii #1#2#3#4%
+ {\XINT_split_fromleft_checkiftoofar #4{#1#2#3#4}}%
+\def\XINT_split_fromleft_endsplit_iv #1#2#3#4#5%
+ {\XINT_split_fromleft_checkiftoofar #5{#1#2#3#4#5}}%
+\def\XINT_split_fromleft_endsplit_v #1#2#3#4#5#6%
+ {\XINT_split_fromleft_checkiftoofar #6{#1#2#3#4#5#6}}%
+\def\XINT_split_fromleft_endsplit_vi #1#2#3#4#5#6#7%
+ {\XINT_split_fromleft_checkiftoofar #7{#1#2#3#4#5#6#7}}%
+\def\XINT_split_fromleft_endsplit_vii #1#2#3#4#5#6#7#8%
+ {\XINT_split_fromleft_checkiftoofar #8{#1#2#3#4#5#6#7#8}}%
+\def\XINT_split_fromleft_checkiftoofar #1#2#3\W #4\Z
{%
- \xint@w #1\XINT@split@fromleft@wenttoofar\W\space {#2}{#3}%
+ \xint_gob_til_w #1\XINT_split_fromleft_wenttoofar\W
+ \space {#2}{#3}%
}%
-\def\XINT@split@fromleft@wenttoofar\W\space #1%
+\def\XINT_split_fromleft_wenttoofar\W\space #1%
{%
- \XINT@split@fromleft@wenttoofar@b #1\Z
+ \XINT_split_fromleft_wenttoofar_b #1\Z
}%
-\def\XINT@split@fromleft@wenttoofar@b #1\W #2\Z { {#1}}%
-\def\XINT@split@fromright #1\Z #2%
+\def\XINT_split_fromleft_wenttoofar_b #1\W #2\Z { {#1}}%
+\def\XINT_split_fromright #1\Z #2%
{%
- \expandafter \XINT@split@fromright@a \expandafter
- {\romannumeral0\XINT@rev {#2}}{#1}{#2}%
+ \expandafter \XINT_split_fromright_a \expandafter
+ {\romannumeral0\XINT_rev {#2}}{#1}{#2}%
}%
-\def\XINT@split@fromright@a #1#2%
+\def\XINT_split_fromright_a #1#2%
{%
- \XINT@split@fromright@loop {#2}{}#1\W\W\W\W\W\W\W\W\Z
+ \XINT_split_fromright_loop {#2}{}#1\W\W\W\W\W\W\W\W\Z
}%
-\def\XINT@split@fromright@loop #1%
+\def\XINT_split_fromright_loop #1%
{%
- \ifnum #1<8 \XINT@split@fromright@exita\fi
- \expandafter\XINT@split@fromright@loop@perhaps\expandafter
- {\the\numexpr #1-8\expandafter }\XINT@split@fromright@eight
+ \ifnum #1<8 \XINT_split_fromright_exita\fi
+ \expandafter\XINT_split_fromright_loop_perhaps\expandafter
+ {\the\numexpr #1-8\expandafter }\XINT_split_fromright_eight
}%
-\def\XINT@split@fromright@eight #1#2#3#4#5#6#7#8#9{#9{#9#8#7#6#5#4#3#2#1}}%
-\def\XINT@split@fromright@loop@perhaps #1#2%
+\def\XINT_split_fromright_eight #1#2#3#4#5#6#7#8#9{#9{#9#8#7#6#5#4#3#2#1}}%
+\def\XINT_split_fromright_loop_perhaps #1#2%
{%
- \xint@w #2\XINT@split@fromright@toofar\W
- \XINT@split@fromright@loop {#1}%
+ \xint_gob_til_w #2\XINT_split_fromright_toofar\W
+ \XINT_split_fromright_loop {#1}%
}%
-\def\XINT@split@fromright@toofar\W\XINT@split@fromright@loop #1#2#3\Z { {}}%
-\def\XINT@split@fromright@exita\fi
- \expandafter\XINT@split@fromright@loop@perhaps\expandafter #1#2%
- {\fi \XINT@split@fromright@exitb #1}%
-\def\XINT@split@fromright@exitb\the\numexpr #1-8\expandafter
+\def\XINT_split_fromright_toofar\W\XINT_split_fromright_loop #1#2#3\Z { {}}%
+\def\XINT_split_fromright_exita\fi
+ \expandafter\XINT_split_fromright_loop_perhaps\expandafter #1#2%
+ {\fi \XINT_split_fromright_exitb #1}%
+\def\XINT_split_fromright_exitb\the\numexpr #1-8\expandafter
{%
- \csname XINT@split@fromright@endsplit@\romannumeral #1\endcsname
+ \csname XINT_split_fromright_endsplit_\romannumeral #1\endcsname
}%
-\def\XINT@split@fromright@endsplit@ #1#2\W #3\Z #4%
+\def\XINT_split_fromright_endsplit_ #1#2\W #3\Z #4%
{%
- \expandafter\space\expandafter {\romannumeral0\XINT@rev{#2}}{#1}%
+ \expandafter\space\expandafter {\romannumeral0\XINT_rev{#2}}{#1}%
}%
-\def\XINT@split@fromright@endsplit@i #1#2%
- {\XINT@split@fromright@checkiftoofar #2{#2#1}}%
-\def\XINT@split@fromright@endsplit@ii #1#2#3%
- {\XINT@split@fromright@checkiftoofar #3{#3#2#1}}%
-\def\XINT@split@fromright@endsplit@iii #1#2#3#4%
- {\XINT@split@fromright@checkiftoofar #4{#4#3#2#1}}%
-\def\XINT@split@fromright@endsplit@iv #1#2#3#4#5%
- {\XINT@split@fromright@checkiftoofar #5{#5#4#3#2#1}}%
-\def\XINT@split@fromright@endsplit@v #1#2#3#4#5#6%
- {\XINT@split@fromright@checkiftoofar #6{#6#5#4#3#2#1}}%
-\def\XINT@split@fromright@endsplit@vi #1#2#3#4#5#6#7%
- {\XINT@split@fromright@checkiftoofar #7{#7#6#5#4#3#2#1}}%
-\def\XINT@split@fromright@endsplit@vii #1#2#3#4#5#6#7#8%
- {\XINT@split@fromright@checkiftoofar #8{#8#7#6#5#4#3#2#1}}%
-\def\XINT@split@fromright@checkiftoofar #1%
+\def\XINT_split_fromright_endsplit_i #1#2%
+ {\XINT_split_fromright_checkiftoofar #2{#2#1}}%
+\def\XINT_split_fromright_endsplit_ii #1#2#3%
+ {\XINT_split_fromright_checkiftoofar #3{#3#2#1}}%
+\def\XINT_split_fromright_endsplit_iii #1#2#3#4%
+ {\XINT_split_fromright_checkiftoofar #4{#4#3#2#1}}%
+\def\XINT_split_fromright_endsplit_iv #1#2#3#4#5%
+ {\XINT_split_fromright_checkiftoofar #5{#5#4#3#2#1}}%
+\def\XINT_split_fromright_endsplit_v #1#2#3#4#5#6%
+ {\XINT_split_fromright_checkiftoofar #6{#6#5#4#3#2#1}}%
+\def\XINT_split_fromright_endsplit_vi #1#2#3#4#5#6#7%
+ {\XINT_split_fromright_checkiftoofar #7{#7#6#5#4#3#2#1}}%
+\def\XINT_split_fromright_endsplit_vii #1#2#3#4#5#6#7#8%
+ {\XINT_split_fromright_checkiftoofar #8{#8#7#6#5#4#3#2#1}}%
+\def\XINT_split_fromright_checkiftoofar #1%
{%
- \xint@w #1\XINT@split@fromright@wenttoofar\W
- \XINT@split@fromright@endsplit@
+ \xint_gob_til_w #1\XINT_split_fromright_wenttoofar\W
+ \XINT_split_fromright_endsplit_
}%
-\def\XINT@split@fromright@wenttoofar\W\XINT@split@fromright@endsplit@ #1\Z #2%
+\def\XINT_split_fromright_wenttoofar\W\XINT_split_fromright_endsplit_ #1\Z #2%
{ {}{#2}}%
-\XINT@restorecatcodes@endinput%
+\XINT_restorecatcodes_endinput%
% \end{macrocode}
%\catcode`\<=0 \catcode`\>=11 \catcode`\*=11 \catcode`\/=11
%\let</xint>\relax
@@ -8471,8 +8428,8 @@ first place.
%
% Perhaps catcodes have changed after the loading of \xintname
% and prior to the current loading of \xintgcdname, so we can not employ
-% the |\XINT@restorecatcodes@endinput| in this style file. But
-% there is no problem using |\XINT@setcatcodes|.
+% the |\XINT_restorecatcodes_endinput| in this style file. But
+% there is no problem using |\XINT_setcatcodes|.
%
% \begin{macrocode}
\begingroup\catcode61\catcode48\catcode32=10\relax%
@@ -8480,11 +8437,11 @@ first place.
\endlinechar=13 %
\catcode123=1 % {
\catcode125=2 % }
- \catcode64=11 % @
+ \catcode95=11 % _
\def\x
{%
\endgroup
- \edef\XINT@gcd@restorecatcodes@endinput
+ \edef\XINT_gcd_restorecatcodes_endinput
{%
\catcode36=\the\catcode36 % $
\catcode96=\the\catcode96 % `
@@ -8500,7 +8457,7 @@ first place.
\catcode45=\the\catcode45 % -
\catcode44=\the\catcode44 % ,
\catcode35=\the\catcode35 % #
- \catcode64=\the\catcode64 % @
+ \catcode95=\the\catcode95 % _
\catcode125=\the\catcode125 % }
\catcode123=\the\catcode123 % {
\endlinechar=\the\endlinechar
@@ -8509,7 +8466,7 @@ first place.
\catcode61=\the\catcode61\relax % =
\noexpand\endinput
}%
- \XINT@setcatcodes
+ \XINT_setcatcodes
\catcode36=3 % $
}%
\x
@@ -8517,6 +8474,7 @@ first place.
% \subsection{Package identification}
% \begin{macrocode}
\begingroup
+ \catcode64=11 % @
\catcode91=12 % [
\catcode93=12 % ]
\catcode58=12 % :
@@ -8538,55 +8496,48 @@ first place.
\fi
\expandafter\x\csname ver@xintgcd.sty\endcsname
\ProvidesPackage{xintgcd}%
- [2013/05/09 v1.06a Euclide algorithm with xint package (jfB)]%
+ [2013/05/14 v1.06b Euclide algorithm with xint package (jfB)]%
% \end{macrocode}
% \subsection{\csh{xintGCD}}
% \begin{macrocode}
\def\xintGCD {\romannumeral0\xintgcd }%
\def\xintgcd #1%
{%
- \expandafter\XINT@gcd\expandafter{\romannumeral0\xintiabs {#1}}%
+ \expandafter\XINT_gcd\expandafter{\romannumeral0\xintiabs {#1}}%
}%
-\def\XINT@gcd #1#2%
+\def\XINT_gcd #1#2%
{%
- \expandafter\XINT@gcd@fork\romannumeral0\xintiabs {#2}\Z #1\Z
+ \expandafter\XINT_gcd_fork\romannumeral0\xintiabs {#2}\Z #1\Z
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% Ici #3#4=A, #1#2=B
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% Ici #3#4=A, #1#2=B|
% \begin{macrocode}
-\def\XINT@gcd@fork #1#2\Z #3#4\Z
+\def\XINT_gcd_fork #1#2\Z #3#4\Z
{%
- \xint@UDzerofork
- #1\dummy \XINT@gcd@BisZero
- #3\dummy \XINT@gcd@AisZero
- 0\dummy \XINT@gcd@loop
- \xint@UDkrof
+ \xint_UDzerofork
+ #1\dummy \XINT_gcd_BisZero
+ #3\dummy \XINT_gcd_AisZero
+ 0\dummy \XINT_gcd_loop
+ \krof
{#1#2}{#3#4}%
}%
-\def\XINT@gcd@AisZero #1#2{ #1}%
-\def\XINT@gcd@BisZero #1#2{ #2}%
-\def\XINT@gcd@CheckRem #1#2\Z
+\def\XINT_gcd_AisZero #1#2{ #1}%
+\def\XINT_gcd_BisZero #1#2{ #2}%
+\def\XINT_gcd_CheckRem #1#2\Z
{%
- \xint@zero #1\xint@gcd@end0\XINT@gcd@loop {#1#2}%
+ \xint_gob_til_zero #1\xint_gcd_end0\XINT_gcd_loop {#1#2}%
}%
-\def\xint@gcd@end0\XINT@gcd@loop #1#2{ #2}%
+\def\xint_gcd_end0\XINT_gcd_loop #1#2{ #2}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% #1=B, #2=A
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|#1=B, #2=A|
% \begin{macrocode}
-\def\XINT@gcd@loop #1#2%
+\def\XINT_gcd_loop #1#2%
{%
\expandafter\expandafter\expandafter
- \XINT@gcd@CheckRem
- \expandafter\xint@secondoftwo
- \romannumeral0\XINT@div@prepare {#1}{#2}\Z
+ \XINT_gcd_CheckRem
+ \expandafter\xint_secondoftwo
+ \romannumeral0\XINT_div_prepare {#1}{#2}\Z
{#1}%
}%
% \end{macrocode}
@@ -8595,526 +8546,416 @@ first place.
\def\xintBezout {\romannumeral0\xintbezout }%
\def\xintbezout #1%
{%
- \expandafter\xint@bezout\expandafter {\romannumeral-`0#1}%
+ \expandafter\xint_bezout\expandafter {\romannumeral-`0#1}%
}%
-\def\xint@bezout #1#2%
+\def\xint_bezout #1#2%
{%
- \expandafter\XINT@bezout@fork \romannumeral-`0#2\Z #1\Z
+ \expandafter\XINT_bezout_fork \romannumeral-`0#2\Z #1\Z
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% #3#4 = A, #1#2=B
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|#3#4 = A, #1#2=B|
% \begin{macrocode}
-\def\XINT@bezout@fork #1#2\Z #3#4\Z
+\def\XINT_bezout_fork #1#2\Z #3#4\Z
{%
- \xint@UDzerosfork
- #1#3\dummy \XINT@bezout@botharezero
- #10\dummy \XINT@bezout@secondiszero
- #30\dummy \XINT@bezout@firstiszero
+ \xint_UDzerosfork
+ #1#3\dummy \XINT_bezout_botharezero
+ #10\dummy \XINT_bezout_secondiszero
+ #30\dummy \XINT_bezout_firstiszero
00\dummy
- {\xint@UDsignsfork
- #1#3\dummy \XINT@bezout@minusminus % A < 0, B < 0
- #1-\dummy \XINT@bezout@minusplus % A > 0, B < 0
- #3-\dummy \XINT@bezout@plusminus % A < 0, B > 0
- --\dummy \XINT@bezout@plusplus % A > 0, B > 0
- \xint@UDkrof }%
- \xint@UDkrof
+ {\xint_UDsignsfork
+ #1#3\dummy \XINT_bezout_minusminus % A < 0, B < 0
+ #1-\dummy \XINT_bezout_minusplus % A > 0, B < 0
+ #3-\dummy \XINT_bezout_plusminus % A < 0, B > 0
+ --\dummy \XINT_bezout_plusplus % A > 0, B > 0
+ \krof }%
+ \krof
{#2}{#4}#1#3{#3#4}{#1#2}% #1#2=B, #3#4=A
}%
-\def\XINT@bezout@botharezero #1#2#3#4#5#6%
+\def\XINT_bezout_botharezero #1#2#3#4#5#6%
{%
\xintError:NoBezoutForZeros
\space {0}{0}{0}{0}{0}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% attention première entrée doit être ici (-1)^n donc 1
-% #4#2=0 = A, B = #3#1
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% attention première entrée doit être ici (-1)^n donc 1$\
+% #4#2 = 0 = A, B = #3#1|
% \begin{macrocode}
-\def\XINT@bezout@firstiszero #1#2#3#4#5#6%
+\def\XINT_bezout_firstiszero #1#2#3#4#5#6%
{%
- \xint@UDsignfork
+ \xint_UDsignfork
#3\dummy { {0}{#3#1}{0}{1}{#1}}%
-\dummy { {0}{#3#1}{0}{-1}{#1}}%
- \xint@UDkrof
+ \krof
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% #4#2= A, B = #3#1 = 0
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|#4#2 = A, B = #3#1 = 0|
% \begin{macrocode}
-\def\XINT@bezout@secondiszero #1#2#3#4#5#6%
+\def\XINT_bezout_secondiszero #1#2#3#4#5#6%
{%
- \xint@UDsignfork
+ \xint_UDsignfork
#4\dummy{ {#4#2}{0}{-1}{0}{#2}}%
-\dummy{ {#4#2}{0}{1}{0}{#2}}%
- \xint@UDkrof
+ \krof
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% #4#2= A < 0, #3#1 = B < 0
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|#4#2= A < 0, #3#1 = B < 0|
% \begin{macrocode}
-\def\XINT@bezout@minusminus #1#2#3#4%
+\def\XINT_bezout_minusminus #1#2#3#4%
{%
- \expandafter\XINT@bezout@mm@post
- \romannumeral0\XINT@bezout@loop@a 1{#1}{#2}1001%
+ \expandafter\XINT_bezout_mm_post
+ \romannumeral0\XINT_bezout_loop_a 1{#1}{#2}1001%
}%
-\def\XINT@bezout@mm@post #1#2%
+\def\XINT_bezout_mm_post #1#2%
{%
- \expandafter\XINT@bezout@mm@postb\expandafter
+ \expandafter\XINT_bezout_mm_postb\expandafter
{\romannumeral0\xintiopp{#2}}{\romannumeral0\xintiopp{#1}}%
}%
-\def\XINT@bezout@mm@postb #1#2%
+\def\XINT_bezout_mm_postb #1#2%
{%
- \expandafter\XINT@bezout@mm@postc\expandafter {#2}{#1}%
+ \expandafter\XINT_bezout_mm_postc\expandafter {#2}{#1}%
}%
-\def\XINT@bezout@mm@postc #1#2#3#4#5%
+\def\XINT_bezout_mm_postc #1#2#3#4#5%
{%
\space {#4}{#5}{#1}{#2}{#3}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% minusplus #4#2= A > 0, B < 0
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|minusplus #4#2= A > 0, B < 0|
% \begin{macrocode}
-\def\XINT@bezout@minusplus #1#2#3#4%
+\def\XINT_bezout_minusplus #1#2#3#4%
{%
- \expandafter\XINT@bezout@mp@post
- \romannumeral0\XINT@bezout@loop@a 1{#1}{#4#2}1001%
+ \expandafter\XINT_bezout_mp_post
+ \romannumeral0\XINT_bezout_loop_a 1{#1}{#4#2}1001%
}%
-\def\XINT@bezout@mp@post #1#2%
+\def\XINT_bezout_mp_post #1#2%
{%
- \expandafter\XINT@bezout@mp@postb\expandafter
+ \expandafter\XINT_bezout_mp_postb\expandafter
{\romannumeral0\xintiopp {#2}}{#1}%
}%
-\def\XINT@bezout@mp@postb #1#2#3#4#5%
+\def\XINT_bezout_mp_postb #1#2#3#4#5%
{%
\space {#4}{#5}{#2}{#1}{#3}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% plusminus A < 0, B > 0
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|plusminus A < 0, B > 0|
% \begin{macrocode}
-\def\XINT@bezout@plusminus #1#2#3#4%
+\def\XINT_bezout_plusminus #1#2#3#4%
{%
- \expandafter\XINT@bezout@pm@post
- \romannumeral0\XINT@bezout@loop@a 1{#3#1}{#2}1001%
+ \expandafter\XINT_bezout_pm_post
+ \romannumeral0\XINT_bezout_loop_a 1{#3#1}{#2}1001%
}%
-\def\XINT@bezout@pm@post #1%
+\def\XINT_bezout_pm_post #1%
{%
- \expandafter \XINT@bezout@pm@postb \expandafter
+ \expandafter \XINT_bezout_pm_postb \expandafter
{\romannumeral0\xintiopp{#1}}%
}%
-\def\XINT@bezout@pm@postb #1#2#3#4#5%
+\def\XINT_bezout_pm_postb #1#2#3#4#5%
{%
\space {#4}{#5}{#1}{#2}{#3}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% plusplus
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|plusplus|
% \begin{macrocode}
-\def\XINT@bezout@plusplus #1#2#3#4%
+\def\XINT_bezout_plusplus #1#2#3#4%
{%
- \expandafter\XINT@bezout@pp@post
- \romannumeral0\XINT@bezout@loop@a 1{#3#1}{#4#2}1001%
+ \expandafter\XINT_bezout_pp_post
+ \romannumeral0\XINT_bezout_loop_a 1{#3#1}{#4#2}1001%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% la parité (-1)^N est en #1, et on la jette ici.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|la parité (-1)^N est en #1, et on la jette ici.|
% \begin{macrocode}
-\def\XINT@bezout@pp@post #1#2#3#4#5%
+\def\XINT_bezout_pp_post #1#2#3#4#5%
{%
\space {#4}{#5}{#1}{#2}{#3}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% n = 0: 1BAalpha(0)beta(0)alpha(-1)beta(-1)
+% \lverb|&
+% n = 0: 1BAalpha(0)beta(0)alpha(-1)beta(-1)$\
% n général:
-% {(-1)^n}{r(n-1)}{r(n-2)}{alpha(n-1)}{beta(n-1)}{alpha(n-2)}{beta(n-2)}
-% #2 = B, #3 = A
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% {(-1)^n}{r(n-1)}{r(n-2)}{alpha(n-1)}{beta(n-1)}{alpha(n-2)}{beta(n-2)}$\
+% #2 = B, #3 = A|
% \begin{macrocode}
-\def\XINT@bezout@loop@a #1#2#3%
+\def\XINT_bezout_loop_a #1#2#3%
{%
- \expandafter\XINT@bezout@loop@b
+ \expandafter\XINT_bezout_loop_b
\expandafter{\the\numexpr -#1\expandafter }%
- \romannumeral0\XINT@div@prepare {#2}{#3}{#2}%
+ \romannumeral0\XINT_div_prepare {#2}{#3}{#2}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
+% \lverb|&
% Le q(n) a ici une existence éphémère, dans le version Bezout Algorithm
% il faudra le conserver. On voudra à la fin
-% {{q(n)}{r(n)}{alpha(n)}{beta(n)}}
-% De plus ce n'est plus (-1)^n que l'on veut mais n. (ou dans un autre ordre)
-% {-(-1)^n}{q(n)}{r(n)}{r(n-1)}{alpha(n-1)}{beta(n-1)}{alpha(n-2)}{beta(n-2)}
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% {{q(n)}{r(n)}{alpha(n)}{beta(n)}}.
+% De plus ce n'est plus (-1)^n que l'on veut mais n. (ou dans un autre ordre)$\
+% {-(-1)^n}{q(n)}{r(n)}{r(n-1)}{alpha(n-1)}{beta(n-1)}{alpha(n-2)}{beta(n-2)}|
% \begin{macrocode}
-\def\XINT@bezout@loop@b #1#2#3#4#5#6#7#8%
+\def\XINT_bezout_loop_b #1#2#3#4#5#6#7#8%
{%
- \expandafter \XINT@bezout@loop@c \expandafter
- {\romannumeral0\xintiadd{\XINT@Mul{#5}{#2}}{#7}}%
- {\romannumeral0\xintiadd{\XINT@Mul{#6}{#2}}{#8}}%
+ \expandafter \XINT_bezout_loop_c \expandafter
+ {\romannumeral0\xintiadd{\XINT_Mul{#5}{#2}}{#7}}%
+ {\romannumeral0\xintiadd{\XINT_Mul{#6}{#2}}{#8}}%
{#1}{#3}{#4}{#5}{#6}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% {alpha(n)}{->beta(n)}{-(-1)^n}{r(n)}{r(n-1)}{alpha(n-1)}{beta(n-1)}
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|{alpha(n)}{->beta(n)}{-(-1)^n}{r(n)}{r(n-1)}{alpha(n-1)}{beta(n-1)}|
% \begin{macrocode}
-\def\XINT@bezout@loop@c #1#2%
+\def\XINT_bezout_loop_c #1#2%
{%
- \expandafter \XINT@bezout@loop@d \expandafter
+ \expandafter \XINT_bezout_loop_d \expandafter
{#2}{#1}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% {beta(n)}{alpha(n)}{(-1)^(n+1)}{r(n)}{r(n-1)}{alpha(n-1)}{beta(n-1)}
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|{beta(n)}{alpha(n)}{(-1)^(n+1)}{r(n)}{r(n-1)}{alpha(n-1)}{beta(n-1)}|
% \begin{macrocode}
-\def\XINT@bezout@loop@d #1#2#3#4#5%
+\def\XINT_bezout_loop_d #1#2#3#4#5%
{%
- \XINT@bezout@loop@e #4\Z {#3}{#5}{#2}{#1}%
+ \XINT_bezout_loop_e #4\Z {#3}{#5}{#2}{#1}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% r(n)\Z {(-1)^(n+1)}{r(n-1)}{alpha(n)}{beta(n)}{alpha(n-1)}{beta(n-1)}
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|r(n)\Z {(-1)^(n+1)}{r(n-1)}{alpha(n)}{beta(n)}{alpha(n-1)}{beta(n-1)}|
% \begin{macrocode}
-\def\XINT@bezout@loop@e #1#2\Z
+\def\XINT_bezout_loop_e #1#2\Z
{%
- \xint@zero #1\xint@bezout@loop@exit0\XINT@bezout@loop@f
+ \xint_gob_til_zero #1\xint_bezout_loop_exit0\XINT_bezout_loop_f
{#1#2}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% {r(n)}{(-1)^(n+1)}{r(n-1)}{alpha(n)}{beta(n)}{alpha(n-1)}{beta(n-1)}
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|{r(n)}{(-1)^(n+1)}{r(n-1)}{alpha(n)}{beta(n)}{alpha(n-1)}{beta(n-1)}|
% \begin{macrocode}
-\def\XINT@bezout@loop@f #1#2%
+\def\XINT_bezout_loop_f #1#2%
{%
- \XINT@bezout@loop@a {#2}{#1}%
+ \XINT_bezout_loop_a {#2}{#1}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% {(-1)^(n+1)}{r(n)}{r(n-1)}{alpha(n)}{beta(n)}{alpha(n-1)}{beta(n-1)}
-% et itération
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|{(-1)^(n+1)}{r(n)}{r(n-1)}{alpha(n)}{beta(n)}{alpha(n-1)}{beta(n-1)}
+% et itération|
% \begin{macrocode}
-\def\xint@bezout@loop@exit0\XINT@bezout@loop@f #1#2%
+\def\xint_bezout_loop_exit0\XINT_bezout_loop_f #1#2%
{%
\ifcase #2
- \or \expandafter\XINT@bezout@exiteven
- \else\expandafter\XINT@bezout@exitodd
+ \or \expandafter\XINT_bezout_exiteven
+ \else\expandafter\XINT_bezout_exitodd
\fi
}%
-\def\XINT@bezout@exiteven #1#2#3#4#5%
+\def\XINT_bezout_exiteven #1#2#3#4#5%
{%
\space {#5}{#4}{#1}%
}%
-\def\XINT@bezout@exitodd #1#2#3#4#5%
+\def\XINT_bezout_exitodd #1#2#3#4#5%
{%
\space {-#5}{-#4}{#1}%
}%
% \end{macrocode}
% \subsection{\csh{xintEuclideAlgorithm}}
-% \begin{verbatim}
+% \lverb|&
% Pour Euclide:
-% {N}{A}{D=r(n)}{B}{q1}{r1}{q2}{r2}{q3}{r3}....{qN}{rN=0}
-% u<2n> = u<2n+3>u<2n+2> + u<2n+4> à la n ième étape
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% {N}{A}{D=r(n)}{B}{q1}{r1}{q2}{r2}{q3}{r3}....{qN}{rN=0}$\
+% u<2n> = u<2n+3>u<2n+2> + u<2n+4> à la n ième étape|
% \begin{macrocode}
\def\xintEuclideAlgorithm {\romannumeral0\xinteuclidealgorithm }%
\def\xinteuclidealgorithm #1%
{%
- \expandafter \XINT@euc \expandafter{\romannumeral0\xintiabs {#1}}%
+ \expandafter \XINT_euc \expandafter{\romannumeral0\xintiabs {#1}}%
}%
-\def\XINT@euc #1#2%
+\def\XINT_euc #1#2%
{%
- \expandafter\XINT@euc@fork \romannumeral0\xintiabs {#2}\Z #1\Z
+ \expandafter\XINT_euc_fork \romannumeral0\xintiabs {#2}\Z #1\Z
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% Ici #3#4=A, #1#2=B
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|Ici #3#4=A, #1#2=B|
% \begin{macrocode}
-\def\XINT@euc@fork #1#2\Z #3#4\Z
+\def\XINT_euc_fork #1#2\Z #3#4\Z
{%
- \xint@UDzerofork
- #1\dummy \XINT@euc@BisZero
- #3\dummy \XINT@euc@AisZero
- 0\dummy \XINT@euc@a
- \xint@UDkrof
+ \xint_UDzerofork
+ #1\dummy \XINT_euc_BisZero
+ #3\dummy \XINT_euc_AisZero
+ 0\dummy \XINT_euc_a
+ \krof
{0}{#1#2}{#3#4}{{#3#4}{#1#2}}{}\Z
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% Le {} pour protéger {{A}{B}} si on s'arrête après une étape (B divise A)
-% On va renvoyer:
-% {N}{A}{D=r(n)}{B}{q1}{r1}{q2}{r2}{q3}{r3}....{qN}{rN=0}
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% Le {} pour protéger {{A}{B}} si on s'arrête après une étape (B divise
+% A).
+% On va renvoyer:$\
+% {N}{A}{D=r(n)}{B}{q1}{r1}{q2}{r2}{q3}{r3}....{qN}{rN=0}|
% \begin{macrocode}
-\def\XINT@euc@AisZero #1#2#3#4#5#6{ {1}{0}{#2}{#2}{0}{0}}%
-\def\XINT@euc@BisZero #1#2#3#4#5#6{ {1}{0}{#3}{#3}{0}{0}}%
+\def\XINT_euc_AisZero #1#2#3#4#5#6{ {1}{0}{#2}{#2}{0}{0}}%
+\def\XINT_euc_BisZero #1#2#3#4#5#6{ {1}{0}{#3}{#3}{0}{0}}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% {n}{rn}{an}{{qn}{rn}}...{{A}{B}}{}\Z
-% an = r(n-1)
-% Pour n=0 on a juste {0}{B}{A}{{A}{B}}{}\Z
-% \XINT@div@prepare {u}{v} divise v par u
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% {n}{rn}{an}{{qn}{rn}}...{{A}{B}}{}\Z$\
+% a(n) = r(n-1). Pour n=0 on a juste {0}{B}{A}{{A}{B}}{}\Z$\
+% \XINT_div_prepare {u}{v} divise v par u|
% \begin{macrocode}
-\def\XINT@euc@a #1#2#3%
+\def\XINT_euc_a #1#2#3%
{%
- \expandafter\XINT@euc@b
+ \expandafter\XINT_euc_b
\expandafter {\the\numexpr #1+1\expandafter }%
- \romannumeral0\XINT@div@prepare {#2}{#3}{#2}%
+ \romannumeral0\XINT_div_prepare {#2}{#3}{#2}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% {n+1}{q(n+1)}{r(n+1)}{rn}{{qn}{rn}}...
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|{n+1}{q(n+1)}{r(n+1)}{rn}{{qn}{rn}}...|
% \begin{macrocode}
-\def\XINT@euc@b #1#2#3#4%
+\def\XINT_euc_b #1#2#3#4%
{%
- \XINT@euc@c #3\Z {#1}{#3}{#4}{{#2}{#3}}%
+ \XINT_euc_c #3\Z {#1}{#3}{#4}{{#2}{#3}}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% r(n+1)\Z {n+1}{r(n+1)}{r(n)}{{q(n+1)}{r(n+1)}}{{qn}{rn}}...
-% Test si r(n+1) est nul.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|r(n+1)\Z {n+1}{r(n+1)}{r(n)}{{q(n+1)}{r(n+1)}}{{qn}{rn}}...$\
+% Test si r(n+1) est nul.|
% \begin{macrocode}
-\def\XINT@euc@c #1#2\Z
+\def\XINT_euc_c #1#2\Z
{%
- \xint@zero #1\xint@euc@end0\XINT@euc@a
+ \xint_gob_til_zero #1\xint_euc_end0\XINT_euc_a
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
+% \lverb|&
% {n+1}{r(n+1)}{r(n)}{{q(n+1)}{r(n+1)}}...{}\Z
-% Ici r(n+1) = 0. On arrête on se prépare à inverser.
-% {n+1}{0}{r(n)}{{q(n+1)}{r(n+1)}}.....{{q1}{r1}}{{A}{B}}{}\Z
-% On veut renvoyer:
-% {N=n+1}{A}{D=r(n)}{B}{q1}{r1}{q2}{r2}{q3}{r3}....{qN}{rN=0}
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% Ici r(n+1) = 0. On arrête on se prépare à inverser
+% {n+1}{0}{r(n)}{{q(n+1)}{r(n+1)}}.....{{q1}{r1}}{{A}{B}}{}\Z$\
+% On veut renvoyer: {N=n+1}{A}{D=r(n)}{B}{q1}{r1}{q2}{r2}{q3}{r3}....{qN}{rN=0}|
% \begin{macrocode}
-\def\xint@euc@end0\XINT@euc@a #1#2#3#4\Z%
+\def\xint_euc_end0\XINT_euc_a #1#2#3#4\Z%
{%
- \expandafter\xint@euc@end@
+ \expandafter\xint_euc_end_
\romannumeral0%
- \XINT@rord@main {}#4{{#1}{#3}}%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#4{{#1}{#3}}%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
}%
-\def\xint@euc@end@ #1#2#3%
+\def\xint_euc_end_ #1#2#3%
{%
\space {#1}{#3}{#2}%
}%
% \end{macrocode}
% \subsection{\csh{xintBezoutAlgorithm}}
-% \begin{verbatim}
-% Pour Bezout: objectif, renvoyer
-% alpha0=1, beta0=0
-% alpha(-1)=0, beta(-1)=1
-% {N}{A}{0}{1}{D=r(n)}{B}{1}{0}{q1}{r1}{alpha1=q1}{beta1=1}
-% {q2}{r2}{alpha2}{beta2}....{qN}{rN=0}{alphaN=A/D}{betaN=B/D}
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% Pour Bezout: objectif, renvoyer$\
+% {N}{A}{0}{1}{D=r(n)}{B}{1}{0}{q1}{r1}{alpha1=q1}{beta1=1}$\
+% {q2}{r2}{alpha2}{beta2}....{qN}{rN=0}{alphaN=A/D}{betaN=B/D}$\
+% alpha0=1, beta0=0, alpha(-1)=0, beta(-1)=1|
% \begin{macrocode}
\def\xintBezoutAlgorithm {\romannumeral0\xintbezoutalgorithm }%
\def\xintbezoutalgorithm #1%
{%
- \expandafter \XINT@bezalg \expandafter{\romannumeral0\xintiabs {#1}}%
+ \expandafter \XINT_bezalg \expandafter{\romannumeral0\xintiabs {#1}}%
}%
-\def\XINT@bezalg #1#2%
+\def\XINT_bezalg #1#2%
{%
- \expandafter\XINT@bezalg@fork \romannumeral0\xintiabs {#2}\Z #1\Z
+ \expandafter\XINT_bezalg_fork \romannumeral0\xintiabs {#2}\Z #1\Z
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% Ici #3#4=A, #1#2=B
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|Ici #3#4=A, #1#2=B|
% \begin{macrocode}
-\def\XINT@bezalg@fork #1#2\Z #3#4\Z
+\def\XINT_bezalg_fork #1#2\Z #3#4\Z
{%
- \xint@UDzerofork
- #1\dummy \XINT@bezalg@BisZero
- #3\dummy \XINT@bezalg@AisZero
- 0\dummy \XINT@bezalg@a
- \xint@UDkrof
+ \xint_UDzerofork
+ #1\dummy \XINT_bezalg_BisZero
+ #3\dummy \XINT_bezalg_AisZero
+ 0\dummy \XINT_bezalg_a
+ \krof
0{#1#2}{#3#4}1001{{#3#4}{#1#2}}{}\Z
}%
-\def\XINT@bezalg@AisZero #1#2#3\Z{ {1}{0}{0}{1}{#2}{#2}{1}{0}{0}{0}{0}{1}}%
-\def\XINT@bezalg@BisZero #1#2#3#4\Z{ {1}{0}{0}{1}{#3}{#3}{1}{0}{0}{0}{0}{1}}%
+\def\XINT_bezalg_AisZero #1#2#3\Z{ {1}{0}{0}{1}{#2}{#2}{1}{0}{0}{0}{0}{1}}%
+\def\XINT_bezalg_BisZero #1#2#3#4\Z{ {1}{0}{0}{1}{#3}{#3}{1}{0}{0}{0}{0}{1}}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
+% \lverb|&
% pour préparer l'étape n+1 il faut
-% {n}{r(n)}{r(n-1)}{alpha(n)}{beta(n)}{alpha(n-1)}{beta(n-1)}
+% {n}{r(n)}{r(n-1)}{alpha(n)}{beta(n)}{alpha(n-1)}{beta(n-1)}&
% {{q(n)}{r(n)}{alpha(n)}{beta(n)}}...
-% division de #3 par #2
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% division de #3 par #2|
% \begin{macrocode}
-\def\XINT@bezalg@a #1#2#3%
+\def\XINT_bezalg_a #1#2#3%
{%
- \expandafter\XINT@bezalg@b
+ \expandafter\XINT_bezalg_b
\expandafter {\the\numexpr #1+1\expandafter }%
- \romannumeral0\XINT@div@prepare {#2}{#3}{#2}%
+ \romannumeral0\XINT_div_prepare {#2}{#3}{#2}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% {n+1}{q(n+1)}{r(n+1)}{r(n)}{alpha(n)}{beta(n)}{alpha(n-1)}{beta(n-1)}...
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% {n+1}{q(n+1)}{r(n+1)}{r(n)}{alpha(n)}{beta(n)}{alpha(n-1)}{beta(n-1)}...|
% \begin{macrocode}
-\def\XINT@bezalg@b #1#2#3#4#5#6#7#8%
+\def\XINT_bezalg_b #1#2#3#4#5#6#7#8%
{%
- \expandafter\XINT@bezalg@c\expandafter
+ \expandafter\XINT_bezalg_c\expandafter
{\romannumeral0\xintiadd {\xintiMul {#6}{#2}}{#8}}%
{\romannumeral0\xintiadd {\xintiMul {#5}{#2}}{#7}}%
{#1}{#2}{#3}{#4}{#5}{#6}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% {beta(n+1)}{alpha(n+1)}{n+1}{q(n+1)}{r(n+1)}{r(n)}{alpha(n)}{beta(n}}%
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% {beta(n+1)}{alpha(n+1)}{n+1}{q(n+1)}{r(n+1)}{r(n)}{alpha(n)}{beta(n}}|
% \begin{macrocode}
-\def\XINT@bezalg@c #1#2#3#4#5#6%
+\def\XINT_bezalg_c #1#2#3#4#5#6%
{%
- \expandafter\XINT@bezalg@d\expandafter {#2}{#3}{#4}{#5}{#6}{#1}%
+ \expandafter\XINT_bezalg_d\expandafter {#2}{#3}{#4}{#5}{#6}{#1}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% {alpha(n+1)}{n+1}{q(n+1)}{r(n+1)}{r(n)}{beta(n+1)}
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|{alpha(n+1)}{n+1}{q(n+1)}{r(n+1)}{r(n)}{beta(n+1)}|
% \begin{macrocode}
-\def\XINT@bezalg@d #1#2#3#4#5#6#7#8%
+\def\XINT_bezalg_d #1#2#3#4#5#6#7#8%
{%
- \XINT@bezalg@e #4\Z {#2}{#4}{#5}{#1}{#6}{#7}{#8}{{#3}{#4}{#1}{#6}}%
+ \XINT_bezalg_e #4\Z {#2}{#4}{#5}{#1}{#6}{#7}{#8}{{#3}{#4}{#1}{#6}}%
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% r(n+1)\Z {n+1}{r(n+1)}{r(n)}{alpha(n+1)}{beta(n+1)}
-% {alpha(n)}{beta(n)}{q,r,alpha,beta(n+1)}
-% Test si r(n+1) est nul.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|r(n+1)\Z {n+1}{r(n+1)}{r(n)}{alpha(n+1)}{beta(n+1)}$\
+% {alpha(n)}{beta(n)}{q,r,alpha,beta(n+1)}$\
+% Test si r(n+1) est nul.|
% \begin{macrocode}
-\def\XINT@bezalg@e #1#2\Z
+\def\XINT_bezalg_e #1#2\Z
{%
- \xint@zero #1\xint@bezalg@end0\XINT@bezalg@a
+ \xint_gob_til_zero #1\xint_bezalg_end0\XINT_bezalg_a
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% Ici r(n+1) = 0. On arrête on se prépare à inverser.
-% {n+1}{r(n+1)}{r(n)}{alpha(n+1)}{beta(n+1)}%
-% {alpha(n)}{beta(n)}%
-% {q,r,alpha,beta(n+1)}...{{A}{B}}{}\Z
-% On veut renvoyer
-% {N}{A}{0}{1}{D=r(n)}{B}{1}{0}{q1}{r1}{alpha1=q1}{beta1=1}
-% {q2}{r2}{alpha2}{beta2}....{qN}{rN=0}{alphaN=A/D}{betaN=B/D}
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% Ici r(n+1) = 0. On arrête on se prépare à inverser.$\
+% {n+1}{r(n+1)}{r(n)}{alpha(n+1)}{beta(n+1)}{alpha(n)}{beta(n)}$\
+% {q,r,alpha,beta(n+1)}...{{A}{B}}{}\Z$\
+% On veut renvoyer$\
+% {N}{A}{0}{1}{D=r(n)}{B}{1}{0}{q1}{r1}{alpha1=q1}{beta1=1}$\
+% {q2}{r2}{alpha2}{beta2}....{qN}{rN=0}{alphaN=A/D}{betaN=B/D}|
% \begin{macrocode}
-\def\xint@bezalg@end0\XINT@bezalg@a #1#2#3#4#5#6#7#8\Z
+\def\xint_bezalg_end0\XINT_bezalg_a #1#2#3#4#5#6#7#8\Z
{%
- \expandafter\xint@bezalg@end@
+ \expandafter\xint_bezalg_end_
\romannumeral0%
- \XINT@rord@main {}#8{{#1}{#3}}%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#8{{#1}{#3}}%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
}%
% \end{macrocode}
-% \vspace*{-.5\baselineskip}
-% \begin{verbatim}
-% {N}{D}{A}{B}{q1}{r1}{alpha1=q1}{beta1=1}{q2}{r2}{alpha2}{beta2}
-% ....{qN}{rN=0}{alphaN=A/D}{betaN=B/D}
-% On veut renvoyer
-% {N}{A}{0}{1}{D=r(n)}{B}{1}{0}{q1}{r1}{alpha1=q1}{beta1=1}
-% {q2}{r2}{alpha2}{beta2}....{qN}{rN=0}{alphaN=A/D}{betaN=B/D}
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% {N}{D}{A}{B}{q1}{r1}{alpha1=q1}{beta1=1}{q2}{r2}{alpha2}{beta2}$\
+% ....{qN}{rN=0}{alphaN=A/D}{betaN=B/D}$\
+% On veut renvoyer$\
+% {N}{A}{0}{1}{D=r(n)}{B}{1}{0}{q1}{r1}{alpha1=q1}{beta1=1}$\
+% {q2}{r2}{alpha2}{beta2}....{qN}{rN=0}{alphaN=A/D}{betaN=B/D}|
% \begin{macrocode}
-\def\xint@bezalg@end@ #1#2#3#4%
+\def\xint_bezalg_end_ #1#2#3#4%
{%
\space {#1}{#3}{0}{1}{#2}{#4}{1}{0}%
}%
% \end{macrocode}
% \subsection{\csh{xintTypesetEuclideAlgorithm}}
-% \begin{verbatim}
+% \lverb|&
% TYPESETTING
+%
% Organisation:
-% {N}{A}{D}{B}{q1}{r1}{q2}{r2}{q3}{r3}....{qN}{rN=0}
+%
+% {N}{A}{D}{B}{q1}{r1}{q2}{r2}{q3}{r3}....{qN}{rN=0}$\
% \U1 = N = nombre d'étapes, \U3 = PGCD, \U2 = A, \U4=B
% q1 = \U5, q2 = \U7 --> qn = \U<2n+3>, rn = \U<2n+4>
% bn = rn. B = r0. A=r(-1)
-% r(n-2) = q(n)r(n-1)+r(n) (n e étape) (n au moins 1)
+%
+% r(n-2) = q(n)r(n-1)+r(n) (n e étape)
+%
% \U{2n} = \U{2n+3} \times \U{2n+2} + \U{2n+4}, n e étape.
-% avec n entre 1 et N.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% (avec n entre 1 et N)|
% \begin{macrocode}
\def\xintTypesetEuclideAlgorithm #1#2%
{% l'algo remplace #1 et #2 par |#1| et |#2|
@@ -9139,18 +8980,15 @@ first place.
}%
% \end{macrocode}
% \subsection{\csh{xintTypesetBezoutAlgorithm}}
-% \begin{verbatim}
+% \lverb|&
% Pour Bezout on a:
-% {N}{A}{0}{1}{D=r(n)}{B}{1}{0}{q1}{r1}{alpha1=q1}{beta1=1}
+% {N}{A}{0}{1}{D=r(n)}{B}{1}{0}{q1}{r1}{alpha1=q1}{beta1=1}$\
% {q2}{r2}{alpha2}{beta2}....{qN}{rN=0}{alphaN=A/D}{betaN=B/D}%
-% Donc 4N+8 termes
-% U1 = N, U2= A, U5=D, U6=B,
-% q1 = U9, qn = U{4n+5}, n au moins 1
-% rn = U{4n+6} , n au moins -1
-% alpha(n) = U{4n+7}, n au moins -1
-% beta(n) = U{4n+8}, n au moins -1
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% Donc 4N+8 termes:
+% U1 = N, U2= A, U5=D, U6=B, q1 = U9, qn = U{4n+5}, n au moins 1$\
+% rn = U{4n+6}, n au moins -1$\
+% alpha(n) = U{4n+7}, n au moins -1$\
+% beta(n) = U{4n+8}, n au moins -1|
% \begin{macrocode}
\def\xintTypesetBezoutAlgorithm #1#2%
{%
@@ -9191,7 +9029,7 @@ first place.
\par
\endgroup
}%
-\XINT@gcd@restorecatcodes@endinput%
+\XINT_gcd_restorecatcodes_endinput%
% \end{macrocode}
%\catcode`\<=0 \catcode`\>=11 \catcode`\*=11 \catcode`\/=11
%\let</xintgcd>\relax
@@ -9297,8 +9135,8 @@ first place.
%
% Perhaps catcodes have changed after the loading of \xintname
% and prior to the current loading of \xintfracname, so we can not employ
-% the |\XINT@restorecatcodes@endinput| in this style file. But
-% there is no problem using |\XINT@setcatcodes|.
+% the |\XINT_restorecatcodes_endinput| in this style file. But
+% there is no problem using |\XINT_setcatcodes|.
%
% \begin{macrocode}
\begingroup\catcode61\catcode48\catcode32=10\relax%
@@ -9306,11 +9144,11 @@ first place.
\endlinechar=13 %
\catcode123=1 % {
\catcode125=2 % }
- \catcode64=11 % @
+ \catcode95=11 % _
\def\x
{%
\endgroup
- \edef\XINT@frac@restorecatcodes@endinput
+ \edef\XINT_frac_restorecatcodes_endinput
{%
\catcode94=\the\catcode94 % ^
\catcode93=\the\catcode93 % ]
@@ -9328,7 +9166,7 @@ first place.
\catcode45=\the\catcode45 % -
\catcode44=\the\catcode44 % ,
\catcode35=\the\catcode35 % #
- \catcode64=\the\catcode64 % @
+ \catcode95=\the\catcode95 % _
\catcode125=\the\catcode125 % }
\catcode123=\the\catcode123 % {
\endlinechar=\the\endlinechar
@@ -9337,7 +9175,7 @@ first place.
\catcode61=\the\catcode61\relax % =
\noexpand\endinput
}%
- \XINT@setcatcodes
+ \XINT_setcatcodes
\catcode91=12 % [
\catcode93=12 % ]
\catcode94=7 % ^
@@ -9347,6 +9185,7 @@ first place.
% \subsection{Package identification}
% \begin{macrocode}
\begingroup
+ \catcode64=11 % @
\catcode58=12 % :
\expandafter\ifx\csname ProvidesPackage\endcsname\relax
\def\x#1#2#3[#4]{\endgroup
@@ -9366,259 +9205,261 @@ first place.
\fi
\expandafter\x\csname ver@xintfrac.sty\endcsname
\ProvidesPackage{xintfrac}%
- [2013/05/09 v1.06a Expandable operations on fractions (jfB)]%
+ [2013/05/14 v1.06b Expandable operations on fractions (jfB)]%
% \end{macrocode}
% \subsection{\csh{xintLen}}
% \begin{macrocode}
\def\xintLen {\romannumeral0\xintlen }%
\def\xintlen #1%
{%
- \expandafter\XINT@flen\romannumeral0\XINT@infrac {#1}%
+ \expandafter\XINT_flen\romannumeral0\XINT_infrac {#1}%
}%
-\def\XINT@flen #1#2#3%
+\def\XINT_flen #1#2#3%
{%
\expandafter\space
- \the\numexpr -1+\XINT@Abs {#1}+\XINT@Len {#2}+\XINT@Len {#3}\relax
+ \the\numexpr -1+\XINT_Abs {#1}+\XINT_Len {#2}+\XINT_Len {#3}\relax
}%
% \end{macrocode}
-% \subsection{\csh{XINT@outfrac}}
-% \begin{verbatim}
+% \subsection{\csh{XINT\_outfrac}}
+% \lverb|&
% 1.06a version now outputs 0/1[0] and not 0[0] in case of zero. More generally
% all macros have been checked in xintfrac, xintseries, xintcfrac, to make sure
% the output format for fractions was always a/b[n]. (except of course \xintIrr,
-% \xintJrr, \xintRaw)
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \xintJrr, \xintRaw)|
% \begin{macrocode}
-\def\XINT@outfrac #1#2#3%
+\def\XINT_outfrac #1#2#3%
{%
- \ifcase\XINT@Sgn{#3}
- \expandafter \XINT@outfrac@divisionbyzero
+ \ifcase\XINT_Sgn{#3}
+ \expandafter \XINT_outfrac_divisionbyzero
\or
- \expandafter \XINT@outfrac@P
+ \expandafter \XINT_outfrac_P
\else
- \expandafter \XINT@outfrac@N
+ \expandafter \XINT_outfrac_N
\fi
{#2}{#3}[#1]%
}%
-\def\XINT@outfrac@divisionbyzero #1#2{\xintError:DivisionByZero\space #1/0}%
-\def\XINT@outfrac@P #1#2%
+\def\XINT_outfrac_divisionbyzero #1#2{\xintError:DivisionByZero\space #1/0}%
+\def\XINT_outfrac_P #1#2%
{%
- \ifcase\XINT@Sgn{#1}
- \expandafter\XINT@outfrac@Zero
+ \ifcase\XINT_Sgn{#1}
+ \expandafter\XINT_outfrac_Zero
\fi
\space #1/#2%
}%
-\def\XINT@outfrac@Zero #1[#2]{ 0/1[0]}%
-\def\XINT@outfrac@N #1#2%
+\def\XINT_outfrac_Zero #1[#2]{ 0/1[0]}%
+\def\XINT_outfrac_N #1#2%
{%
- \expandafter\XINT@outfrac@N@a\expandafter
- {\romannumeral0\XINT@opp #2}{\romannumeral0\XINT@opp #1}%
+ \expandafter\XINT_outfrac_N_a\expandafter
+ {\romannumeral0\XINT_opp #2}{\romannumeral0\XINT_opp #1}%
}%
-\def\XINT@outfrac@N@a #1#2%
+\def\XINT_outfrac_N_a #1#2%
{%
- \expandafter\XINT@outfrac@P\expandafter {#2}{#1}%
+ \expandafter\XINT_outfrac_P\expandafter {#2}{#1}%
}%
% \end{macrocode}
-% \subsection{\csh{XINT@inFrac}}
+% \subsection{\csh{XINT\_inFrac}}
% \begin{macrocode}
-\def\XINT@inFrac {\romannumeral0\XINT@infrac }%
-\def\XINT@infrac #1%
+\def\XINT_inFrac {\romannumeral0\XINT_infrac }%
+\def\XINT_infrac #1%
{%
- \expandafter\XINT@infrac@ \romannumeral-`0#1[\W]\Z\T
+ \expandafter\XINT_infrac_ \romannumeral-`0#1[\W]\Z\T
}%
-\def\XINT@infrac@ #1[#2#3]#4\Z
+\def\XINT_infrac_ #1[#2#3]#4\Z
{%
- \xint@UDwfork
- #2\dummy \XINT@infrac@A
- \W\dummy \XINT@infrac@B
- \xint@UDkrof
+ \xint_UDwfork
+ #2\dummy \XINT_infrac_A
+ \W\dummy \XINT_infrac_B
+ \krof
#1[#2#3]#4%
}%
-\def\XINT@infrac@A #1[\W]\T
+\def\XINT_infrac_A #1[\W]\T
{%
- \XINT@frac #1/\W\Z
+ \XINT_frac #1/\W\Z
}%
-\def\XINT@infrac@B #1%
+\def\XINT_infrac_B #1%
{%
- \xint@zero #1\XINT@infrac@Zero0\XINT@infrac@BB #1%
+ \xint_gob_til_zero #1\XINT_infrac_Zero0\XINT_infrac_BB #1%
}%
-\def\XINT@infrac@BB #1[\W]\T {\XINT@infrac@BC #1/\W\Z }%
-\def\XINT@infrac@BC #1/#2#3\Z
+\def\XINT_infrac_BB #1[\W]\T {\XINT_infrac_BC #1/\W\Z }%
+\def\XINT_infrac_BC #1/#2#3\Z
{%
- \xint@UDwfork
- #2\dummy \XINT@infrac@BCa
- \W\dummy {\expandafter\XINT@infrac@BCb \romannumeral-`0#2}%
- \xint@UDkrof
+ \xint_UDwfork
+ #2\dummy \XINT_infrac_BCa
+ \W\dummy {\expandafter\XINT_infrac_BCb \romannumeral-`0#2}%
+ \krof
#3\Z #1\Z
}%
-\def\XINT@infrac@BCa \Z #1[#2]#3\Z { {#2}{#1}{1}}%
-\def\XINT@infrac@BCb #1[#2]/\W\Z #3\Z { {#2}{#3}{#1}}%
-\def\XINT@infrac@Zero #1\T { {0}{0}{1}}%
+\def\XINT_infrac_BCa \Z #1[#2]#3\Z { {#2}{#1}{1}}%
+\def\XINT_infrac_BCb #1[#2]/\W\Z #3\Z { {#2}{#3}{#1}}%
+\def\XINT_infrac_Zero #1\T { {0}{0}{1}}%
% \end{macrocode}
-% \subsection{\csh{XINT@frac}}
+% \subsection{\csh{XINT\_frac}}
% \begin{macrocode}
-\def\XINT@frac #1/#2#3\Z
+\def\XINT_frac #1/#2#3\Z
{%
- \xint@UDwfork
- #2\dummy \XINT@frac@A
- \W\dummy {\expandafter\XINT@frac@B \romannumeral-`0#2}%
- \xint@UDkrof
+ \xint_UDwfork
+ #2\dummy \XINT_frac_A
+ \W\dummy {\expandafter\XINT_frac_B \romannumeral-`0#2}%
+ \krof
#3.\W\Z #1.\W\Z
}%
-\def\XINT@frac@B #1.#2#3\Z
+\def\XINT_frac_B #1.#2#3\Z
{%
- \xint@UDwfork
- #2\dummy \XINT@frac@Ba
- \W\dummy {\XINT@frac@Bb #2}%
- \xint@UDkrof
+ \xint_UDwfork
+ #2\dummy \XINT_frac_Ba
+ \W\dummy {\XINT_frac_Bb #2}%
+ \krof
#3\Z #1\Z
}%
-\def\XINT@frac@Bb #1/\W.\W\Z #2\Z
+\def\XINT_frac_Bb #1/\W.\W\Z #2\Z
{%
- \expandafter \XINT@frac@C \expandafter
- {\romannumeral0\XINT@length {#1}}{#2#1}%
+ \expandafter \XINT_frac_C \expandafter
+ {\romannumeral0\XINT_length {#1}}{#2#1}%
}%
-\def\XINT@frac@Ba \Z #1/\W\Z {\XINT@frac@C {0}{#1}}%
-\def\XINT@frac@A .\W\Z {\XINT@frac@C {0}{1}}%
-\def\XINT@frac@C #1#2#3.#4#5\Z
+\def\XINT_frac_Ba \Z #1/\W\Z {\XINT_frac_C {0}{#1}}%
+\def\XINT_frac_A .\W\Z {\XINT_frac_C {0}{1}}%
+\def\XINT_frac_C #1#2#3.#4#5\Z
{%
- \xint@UDwfork
- #4\dummy \XINT@frac@Ca
- \W\dummy {\XINT@frac@Cb #4}%
- \xint@UDkrof
+ \xint_UDwfork
+ #4\dummy \XINT_frac_Ca
+ \W\dummy {\XINT_frac_Cb #4}%
+ \krof
#5\Z #3\Z {#1}{#2}%
}%
-\def\XINT@frac@Ca \Z #1\Z {\XINT@frac@D {0}{#1}}%
-\def\XINT@frac@Cb #1.\W\Z #2\Z
+\def\XINT_frac_Ca \Z #1\Z {\XINT_frac_D {0}{#1}}%
+\def\XINT_frac_Cb #1.\W\Z #2\Z
{%
- \expandafter\XINT@frac@D\expandafter
- {\romannumeral0\XINT@length {#1}}{#2#1}%
+ \expandafter\XINT_frac_D\expandafter
+ {\romannumeral0\XINT_length {#1}}{#2#1}%
}%
-\def\XINT@frac@D #1#2#3#4%
+\def\XINT_frac_D #1#2#3#4%
{%
- \expandafter \XINT@frac@E \expandafter
+ \expandafter \XINT_frac_E \expandafter
{\the\numexpr -#1+#3\expandafter}\expandafter
- {\romannumeral0\XINT@num@loop #2\R\R\R\R\R\R\R\R\Z }%
- {\romannumeral0\XINT@num@loop #4\R\R\R\R\R\R\R\R\Z }%
+ {\romannumeral0\XINT_num_loop #2%
+ \xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z }%
+ {\romannumeral0\XINT_num_loop #4%
+ \xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z }%
}%
-\def\XINT@frac@E #1#2#3%
+\def\XINT_frac_E #1#2#3%
{%
- \expandafter \XINT@frac@F #3\Z {#2}{#1}%
+ \expandafter \XINT_frac_F #3\Z {#2}{#1}%
}%
-\def\XINT@frac@F #1%
+\def\XINT_frac_F #1%
{%
- \xint@UDzerominusfork
- #1-\dummy \XINT@frac@Gdivisionbyzero
- 0#1\dummy \XINT@frac@Gneg
- 0-\dummy {\XINT@frac@Gpos #1}%
- \xint@UDkrof
+ \xint_UDzerominusfork
+ #1-\dummy \XINT_frac_Gdivisionbyzero
+ 0#1\dummy \XINT_frac_Gneg
+ 0-\dummy {\XINT_frac_Gpos #1}%
+ \krof
}%
-\def\XINT@frac@Gdivisionbyzero #1\Z #2#3%
+\def\XINT_frac_Gdivisionbyzero #1\Z #2#3%
{%
\xintError:DivisionByZero\space {0}{#2}{0}%
}%
-\def\XINT@frac@Gneg #1\Z #2#3%
+\def\XINT_frac_Gneg #1\Z #2#3%
{%
- \expandafter\XINT@frac@H \expandafter{\romannumeral0\XINT@opp #2}{#3}{#1}%
+ \expandafter\XINT_frac_H \expandafter{\romannumeral0\XINT_opp #2}{#3}{#1}%
}%
-\def\XINT@frac@H #1#2{ {#2}{#1}}%
-\def\XINT@frac@Gpos #1\Z #2#3{ {#3}{#2}{#1}}%
+\def\XINT_frac_H #1#2{ {#2}{#1}}%
+\def\XINT_frac_Gpos #1\Z #2#3{ {#3}{#2}{#1}}%
% \end{macrocode}
-% \subsection{\csh{XINT@factortens},~\csh{XINT@cuz@cnt}}
+% \subsection{\csh{XINT\_factortens},~\csh{XINT\_cuz\_cnt}}
% \begin{macrocode}
-\def\XINT@factortens #1%
+\def\XINT_factortens #1%
{%
- \expandafter\XINT@cuz@cnt@loop\expandafter
- {\expandafter}\romannumeral0\XINT@rord@main {}#1%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \expandafter\XINT_cuz_cnt_loop\expandafter
+ {\expandafter}\romannumeral0\XINT_rord_main {}#1%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
\R\R\R\R\R\R\R\R\Z
}%
-\def\XINT@cuz@cnt #1%
+\def\XINT_cuz_cnt #1%
{%
- \XINT@cuz@cnt@loop {}#1\R\R\R\R\R\R\R\R\Z
+ \XINT_cuz_cnt_loop {}#1\R\R\R\R\R\R\R\R\Z
}%
-\def\XINT@cuz@cnt@loop #1#2#3#4#5#6#7#8#9%
+\def\XINT_cuz_cnt_loop #1#2#3#4#5#6#7#8#9%
{%
- \xint@r #9\XINT@cuz@cnt@toofara \R
- \expandafter\XINT@cuz@cnt@checka\expandafter
+ \xint_gob_til_r #9\XINT_cuz_cnt_toofara \R
+ \expandafter\XINT_cuz_cnt_checka\expandafter
{\the\numexpr #1+8\relax}{#2#3#4#5#6#7#8#9}%
}%
-\def\XINT@cuz@cnt@toofara\R
- \expandafter\XINT@cuz@cnt@checka\expandafter #1#2%
+\def\XINT_cuz_cnt_toofara\R
+ \expandafter\XINT_cuz_cnt_checka\expandafter #1#2%
{%
- \XINT@cuz@cnt@toofarb {#1}#2%
+ \XINT_cuz_cnt_toofarb {#1}#2%
}%
-\def\XINT@cuz@cnt@toofarb #1#2\Z {\XINT@cuz@cnt@toofarc #2\Z {#1}}%
-\def\XINT@cuz@cnt@toofarc #1#2#3#4#5#6#7#8%
+\def\XINT_cuz_cnt_toofarb #1#2\Z {\XINT_cuz_cnt_toofarc #2\Z {#1}}%
+\def\XINT_cuz_cnt_toofarc #1#2#3#4#5#6#7#8%
{%
- \xint@r #2\XINT@cuz@cnt@toofard 7%
- #3\XINT@cuz@cnt@toofard 6%
- #4\XINT@cuz@cnt@toofard 5%
- #5\XINT@cuz@cnt@toofard 4%
- #6\XINT@cuz@cnt@toofard 3%
- #7\XINT@cuz@cnt@toofard 2%
- #8\XINT@cuz@cnt@toofard 1%
+ \xint_gob_til_r #2\XINT_cuz_cnt_toofard 7%
+ #3\XINT_cuz_cnt_toofard 6%
+ #4\XINT_cuz_cnt_toofard 5%
+ #5\XINT_cuz_cnt_toofard 4%
+ #6\XINT_cuz_cnt_toofard 3%
+ #7\XINT_cuz_cnt_toofard 2%
+ #8\XINT_cuz_cnt_toofard 1%
\Z #1#2#3#4#5#6#7#8%
}%
-\def\XINT@cuz@cnt@toofard #1#2\Z #3\R #4\Z #5%
+\def\XINT_cuz_cnt_toofard #1#2\Z #3\R #4\Z #5%
{%
- \expandafter\XINT@cuz@cnt@toofare
+ \expandafter\XINT_cuz_cnt_toofare
\the\numexpr #3\relax \R\R\R\R\R\R\R\R\Z
{\the\numexpr #5-#1\relax}\R\Z
}%
-\def\XINT@cuz@cnt@toofare #1#2#3#4#5#6#7#8%
+\def\XINT_cuz_cnt_toofare #1#2#3#4#5#6#7#8%
{%
- \xint@r #2\XINT@cuz@cnt@stopc 1%
- #3\XINT@cuz@cnt@stopc 2%
- #4\XINT@cuz@cnt@stopc 3%
- #5\XINT@cuz@cnt@stopc 4%
- #6\XINT@cuz@cnt@stopc 5%
- #7\XINT@cuz@cnt@stopc 6%
- #8\XINT@cuz@cnt@stopc 7%
+ \xint_gob_til_r #2\XINT_cuz_cnt_stopc 1%
+ #3\XINT_cuz_cnt_stopc 2%
+ #4\XINT_cuz_cnt_stopc 3%
+ #5\XINT_cuz_cnt_stopc 4%
+ #6\XINT_cuz_cnt_stopc 5%
+ #7\XINT_cuz_cnt_stopc 6%
+ #8\XINT_cuz_cnt_stopc 7%
\Z #1#2#3#4#5#6#7#8%
}%
-\def\XINT@cuz@cnt@checka #1#2%
+\def\XINT_cuz_cnt_checka #1#2%
{%
- \expandafter\XINT@cuz@cnt@checkb\the\numexpr #2\relax \Z {#1}%
+ \expandafter\XINT_cuz_cnt_checkb\the\numexpr #2\relax \Z {#1}%
}%
-\def\XINT@cuz@cnt@checkb #1%
+\def\XINT_cuz_cnt_checkb #1%
{%
- \xint@zero #1\expandafter\XINT@cuz@cnt@loop\xint@z
- 0\XINT@cuz@cnt@stopa #1%
+ \xint_gob_til_zero #1\expandafter\XINT_cuz_cnt_loop\xint_gob_til_z
+ 0\XINT_cuz_cnt_stopa #1%
}%
-\def\XINT@cuz@cnt@stopa #1\Z
+\def\XINT_cuz_cnt_stopa #1\Z
{%
- \XINT@cuz@cnt@stopb #1\R\R\R\R\R\R\R\R\Z %
+ \XINT_cuz_cnt_stopb #1\R\R\R\R\R\R\R\R\Z %
}%
-\def\XINT@cuz@cnt@stopb #1#2#3#4#5#6#7#8#9%
+\def\XINT_cuz_cnt_stopb #1#2#3#4#5#6#7#8#9%
{%
- \xint@r #2\XINT@cuz@cnt@stopc 1%
- #3\XINT@cuz@cnt@stopc 2%
- #4\XINT@cuz@cnt@stopc 3%
- #5\XINT@cuz@cnt@stopc 4%
- #6\XINT@cuz@cnt@stopc 5%
- #7\XINT@cuz@cnt@stopc 6%
- #8\XINT@cuz@cnt@stopc 7%
- #9\XINT@cuz@cnt@stopc 8%
+ \xint_gob_til_r #2\XINT_cuz_cnt_stopc 1%
+ #3\XINT_cuz_cnt_stopc 2%
+ #4\XINT_cuz_cnt_stopc 3%
+ #5\XINT_cuz_cnt_stopc 4%
+ #6\XINT_cuz_cnt_stopc 5%
+ #7\XINT_cuz_cnt_stopc 6%
+ #8\XINT_cuz_cnt_stopc 7%
+ #9\XINT_cuz_cnt_stopc 8%
\Z #1#2#3#4#5#6#7#8#9%
}%
-\def\XINT@cuz@cnt@stopc #1#2\Z #3\R #4\Z #5%
+\def\XINT_cuz_cnt_stopc #1#2\Z #3\R #4\Z #5%
{%
- \expandafter\XINT@cuz@cnt@stopd\expandafter
+ \expandafter\XINT_cuz_cnt_stopd\expandafter
{\the\numexpr #5-#1}#3%
}%
-\def\XINT@cuz@cnt@stopd #1#2\R #3\Z
+\def\XINT_cuz_cnt_stopd #1#2\R #3\Z
{%
\expandafter\space\expandafter
- {\romannumeral0\XINT@rord@main {}#2%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF }{#1}%
+ {\romannumeral0\XINT_rord_main {}#2%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax }{#1}%
}%
% \end{macrocode}
% \subsection{\csh{xintRaw}}
@@ -9626,121 +9467,121 @@ first place.
\def\xintRaw {\romannumeral0\xintraw }%
\def\xintraw
{%
- \expandafter\XINT@raw\romannumeral0\XINT@infrac
+ \expandafter\XINT_raw\romannumeral0\XINT_infrac
}%
-\def\XINT@raw #1%
+\def\XINT_raw #1%
{%
- \ifcase\XINT@Sgn {#1}
- \expandafter\XINT@raw@Ba
+ \ifcase\XINT_Sgn {#1}
+ \expandafter\XINT_raw_Ba
\or
- \expandafter\XINT@raw@A
+ \expandafter\XINT_raw_A
\else
- \expandafter\XINT@raw@Ba
+ \expandafter\XINT_raw_Ba
\fi
{#1}%
}%
-\def\XINT@raw@A #1#2#3{\xint@dsh {#2}{-#1}/#3}%
-\def\XINT@raw@Ba #1#2#3{\expandafter\XINT@raw@Bb
- \expandafter{\romannumeral0\xint@dsh {#3}{#1}}{#2}}%
-\def\XINT@raw@Bb #1#2{ #2/#1}%
+\def\XINT_raw_A #1#2#3{\xint_dsh {#2}{-#1}/#3}%
+\def\XINT_raw_Ba #1#2#3{\expandafter\XINT_raw_Bb
+ \expandafter{\romannumeral0\xint_dsh {#3}{#1}}{#2}}%
+\def\XINT_raw_Bb #1#2{ #2/#1}%
% \end{macrocode}
% \subsection{\csh{xintNumerator}}
% \begin{macrocode}
\def\xintNumerator {\romannumeral0\xintnumerator }%
\def\xintnumerator
{%
- \expandafter\XINT@numer\romannumeral0\XINT@infrac
+ \expandafter\XINT_numer\romannumeral0\XINT_infrac
}%
-\def\XINT@numer #1%
+\def\XINT_numer #1%
{%
- \ifcase\XINT@Sgn {#1}
- \expandafter\XINT@numer@B
+ \ifcase\XINT_Sgn {#1}
+ \expandafter\XINT_numer_B
\or
- \expandafter\XINT@numer@A
+ \expandafter\XINT_numer_A
\else
- \expandafter\XINT@numer@B
+ \expandafter\XINT_numer_B
\fi
{#1}%
}%
-\def\XINT@numer@A #1#2#3{\xint@dsh {#2}{-#1}}%
-\def\XINT@numer@B #1#2#3{ #2}%
+\def\XINT_numer_A #1#2#3{\xint_dsh {#2}{-#1}}%
+\def\XINT_numer_B #1#2#3{ #2}%
% \end{macrocode}
% \subsection{\csh{xintDenominator}}
% \begin{macrocode}
\def\xintDenominator {\romannumeral0\xintdenominator }%
\def\xintdenominator
{%
- \expandafter\XINT@denom\romannumeral0\XINT@infrac
+ \expandafter\XINT_denom\romannumeral0\XINT_infrac
}%
-\def\XINT@denom #1%
+\def\XINT_denom #1%
{%
- \ifcase\XINT@Sgn {#1}
- \expandafter\XINT@denom@B
+ \ifcase\XINT_Sgn {#1}
+ \expandafter\XINT_denom_B
\or
- \expandafter\XINT@denom@A
+ \expandafter\XINT_denom_A
\else
- \expandafter\XINT@denom@B
+ \expandafter\XINT_denom_B
\fi
{#1}%
}%
-\def\XINT@denom@A #1#2#3{ #3}%
-\def\XINT@denom@B #1#2#3{\xint@dsh {#3}{#1}}%
+\def\XINT_denom_A #1#2#3{ #3}%
+\def\XINT_denom_B #1#2#3{\xint_dsh {#3}{#1}}%
% \end{macrocode}
% \subsection{\csh{xintFrac}}
% \begin{macrocode}
\def\xintFrac {\romannumeral0\xintfrac }%
\def\xintfrac #1%
{%
- \expandafter\XINT@@frac@A\romannumeral0\XINT@infrac {#1}%
+ \expandafter\XINT__frac_A\romannumeral0\XINT_infrac {#1}%
}%
-\def\XINT@@frac@A #1{\XINT@@frac@B #1\Z }%
-\def\XINT@@frac@B #1#2\Z
+\def\XINT__frac_A #1{\XINT__frac_B #1\Z }%
+\def\XINT__frac_B #1#2\Z
{%
- \xint@zero #1\XINT@@frac@C 0\XINT@@frac@D {10^{#1#2}}%
+ \xint_gob_til_zero #1\XINT__frac_C 0\XINT__frac_D {10^{#1#2}}%
}%
-\def\XINT@@frac@C #1#2#3#4#5%
+\def\XINT__frac_C #1#2#3#4#5%
{%
- \ifcase\XINT@isOne {#5}
- \or \xint@afterfi {\expandafter\xint@firstoftwo@andstop\xint@gobble@ii }%
+ \ifcase\XINT_isOne {#5}
+ \or \xint_afterfi {\expandafter\xint_firstoftwo_andstop\xint_gobble_ii }%
\fi
\space
\frac {#4}{#5}%
}%
-\def\XINT@@frac@D #1#2#3%
+\def\XINT__frac_D #1#2#3%
{%
- \ifcase\XINT@isOne {#3}
- \or \XINT@@frac@E
+ \ifcase\XINT_isOne {#3}
+ \or \XINT__frac_E
\fi
\space
\frac {#2}{#3}#1%
}%
-\def\XINT@@frac@E \fi #1#2#3#4{\fi \space #3\cdot }%
+\def\XINT__frac_E \fi #1#2#3#4{\fi \space #3\cdot }%
% \end{macrocode}
% \subsection{\csh{xintSignedFrac}}
% \begin{macrocode}
\def\xintSignedFrac {\romannumeral0\xintsignedfrac }%
\def\xintsignedfrac #1%
{%
- \expandafter\XINT@sgnfrac@a\romannumeral0\XINT@infrac {#1}%
+ \expandafter\XINT_sgnfrac_a\romannumeral0\XINT_infrac {#1}%
}%
-\def\XINT@sgnfrac@a #1#2%
+\def\XINT_sgnfrac_a #1#2%
{%
- \XINT@sgnfrac@b #2\Z {#1}%
+ \XINT_sgnfrac_b #2\Z {#1}%
}%
-\def\XINT@sgnfrac@b #1%
+\def\XINT_sgnfrac_b #1%
{%
- \xint@UDsignfork
- #1\dummy \XINT@sgnfrac@N
- -\dummy {\XINT@sgnfrac@P #1}%
- \xint@UDkrof
+ \xint_UDsignfork
+ #1\dummy \XINT_sgnfrac_N
+ -\dummy {\XINT_sgnfrac_P #1}%
+ \krof
}%
-\def\XINT@sgnfrac@P #1\Z #2%
+\def\XINT_sgnfrac_P #1\Z #2%
{%
- \XINT@@frac@A {#2}{#1}%
+ \XINT__frac_A {#2}{#1}%
}%
-\def\XINT@sgnfrac@N
+\def\XINT_sgnfrac_N
{%
- \expandafter\xint@minus@andstop\romannumeral0\XINT@sgnfrac@P
+ \expandafter\xint_minus_andstop\romannumeral0\XINT_sgnfrac_P
}%
% \end{macrocode}
% \subsection{\csh{xintFwOver}}
@@ -9748,27 +9589,27 @@ first place.
\def\xintFwOver {\romannumeral0\xintfwover }%
\def\xintfwover #1%
{%
- \expandafter\XINT@fwover@A\romannumeral0\XINT@infrac {#1}%
+ \expandafter\XINT_fwover_A\romannumeral0\XINT_infrac {#1}%
}%
-\def\XINT@fwover@A #1{\XINT@fwover@B #1\Z }%
-\def\XINT@fwover@B #1#2\Z
+\def\XINT_fwover_A #1{\XINT_fwover_B #1\Z }%
+\def\XINT_fwover_B #1#2\Z
{%
- \xint@zero #1\XINT@fwover@C 0\XINT@fwover@D {10^{#1#2}}%
+ \xint_gob_til_zero #1\XINT_fwover_C 0\XINT_fwover_D {10^{#1#2}}%
}%
-\def\XINT@fwover@C #1#2#3#4#5%
+\def\XINT_fwover_C #1#2#3#4#5%
{%
- \ifcase\XINT@isOne {#5}
- \xint@afterfi { {#4\over #5}}%
+ \ifcase\XINT_isOne {#5}
+ \xint_afterfi { {#4\over #5}}%
\or
- \xint@afterfi { #4}%
+ \xint_afterfi { #4}%
\fi
}%
-\def\XINT@fwover@D #1#2#3%
+\def\XINT_fwover_D #1#2#3%
{%
- \ifcase\XINT@isOne {#3}
- \xint@afterfi { {#2\over #3}}%
+ \ifcase\XINT_isOne {#3}
+ \xint_afterfi { {#2\over #3}}%
\or
- \xint@afterfi { #2\cdot }%
+ \xint_afterfi { #2\cdot }%
\fi
#1%
}%
@@ -9778,26 +9619,26 @@ first place.
\def\xintSignedFwOver {\romannumeral0\xintsignedfwover }%
\def\xintsignedfwover #1%
{%
- \expandafter\XINT@sgnfwover@a\romannumeral0\XINT@infrac {#1}%
+ \expandafter\XINT_sgnfwover_a\romannumeral0\XINT_infrac {#1}%
}%
-\def\XINT@sgnfwover@a #1#2%
+\def\XINT_sgnfwover_a #1#2%
{%
- \XINT@sgnfwover@b #2\Z {#1}%
+ \XINT_sgnfwover_b #2\Z {#1}%
}%
-\def\XINT@sgnfwover@b #1%
+\def\XINT_sgnfwover_b #1%
{%
- \xint@UDsignfork
- #1\dummy \XINT@sgnfwover@N
- -\dummy {\XINT@sgnfwover@P #1}%
- \xint@UDkrof
+ \xint_UDsignfork
+ #1\dummy \XINT_sgnfwover_N
+ -\dummy {\XINT_sgnfwover_P #1}%
+ \krof
}%
-\def\XINT@sgnfwover@P #1\Z #2%
+\def\XINT_sgnfwover_P #1\Z #2%
{%
- \XINT@fwover@A {#2}{#1}%
+ \XINT_fwover_A {#2}{#1}%
}%
-\def\XINT@sgnfwover@N
+\def\XINT_sgnfwover_N
{%
- \expandafter\xint@minus@andstop\romannumeral0\XINT@sgnfwover@P
+ \expandafter\xint_minus_andstop\romannumeral0\XINT_sgnfwover_P
}%
% \end{macrocode}
% \subsection{\csh{xintREZ}}
@@ -9805,376 +9646,368 @@ first place.
\def\xintREZ {\romannumeral0\xintrez }%
\def\xintrez
{%
- \expandafter\XINT@rez@A\romannumeral0\XINT@infrac
+ \expandafter\XINT_rez_A\romannumeral0\XINT_infrac
}%
-\def\XINT@rez@A #1#2%
+\def\XINT_rez_A #1#2%
{%
- \XINT@rez@AB #2\Z {#1}%
+ \XINT_rez_AB #2\Z {#1}%
}%
-\def\XINT@rez@AB #1%
+\def\XINT_rez_AB #1%
{%
- \xint@UDzerominusfork
- #1-\dummy \XINT@rez@zero
- 0#1\dummy \XINT@rez@neg
- 0-\dummy {\XINT@rez@B #1}%
- \xint@UDkrof
+ \xint_UDzerominusfork
+ #1-\dummy \XINT_rez_zero
+ 0#1\dummy \XINT_rez_neg
+ 0-\dummy {\XINT_rez_B #1}%
+ \krof
}%
-\def\XINT@rez@zero #1\Z #2#3{ 0/1[0]}%
-\def\XINT@rez@neg {\expandafter\xint@minus@andstop\romannumeral0\XINT@rez@B }%
-\def\XINT@rez@B #1\Z
+\def\XINT_rez_zero #1\Z #2#3{ 0/1[0]}%
+\def\XINT_rez_neg {\expandafter\xint_minus_andstop\romannumeral0\XINT_rez_B }%
+\def\XINT_rez_B #1\Z
{%
- \expandafter\XINT@rez@C\romannumeral0\XINT@factortens {#1}%
+ \expandafter\XINT_rez_C\romannumeral0\XINT_factortens {#1}%
}%
-\def\XINT@rez@C #1#2#3#4%
+\def\XINT_rez_C #1#2#3#4%
{%
- \expandafter\XINT@rez@D\romannumeral0\XINT@factortens {#4}{#3}{#2}{#1}%
+ \expandafter\XINT_rez_D\romannumeral0\XINT_factortens {#4}{#3}{#2}{#1}%
}%
-\def\XINT@rez@D #1#2#3#4#5%
+\def\XINT_rez_D #1#2#3#4#5%
{%
- \expandafter\XINT@rez@E\expandafter
+ \expandafter\XINT_rez_E\expandafter
{\the\numexpr #3+#4-#2}{#1}{#5}%
}%
-\def\XINT@rez@E #1#2#3{ #3/#2[#1]}%
+\def\XINT_rez_E #1#2#3{ #3/#2[#1]}%
% \end{macrocode}
% \subsection{\csh{xintIrr}}
-% \begin{verbatim}
+% \lverb|&
% 1.04 fixes a buggy \xintIrr {0}.
% 1.05 modifies the initial parsing and post-processing to use \xintraw and to
-% more quickly deal with an input denominator equal to 1.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% more quickly deal with an input denominator equal to 1.|
% \begin{macrocode}
\def\xintIrr {\romannumeral0\xintirr }%
\def\xintirr #1%
{%
- \expandafter\XINT@irr@start\romannumeral0\xintraw {#1}\Z
+ \expandafter\XINT_irr_start\romannumeral0\xintraw {#1}\Z
}%
-\def\XINT@irr@start #1#2/#3\Z
+\def\XINT_irr_start #1#2/#3\Z
{%
- \ifcase\XINT@isOne {#3}
- \xint@afterfi
- {\xint@UDsignfork
- #1\dummy \XINT@irr@negative
- -\dummy {\XINT@irr@nonneg #1}%
- \xint@UDkrof}%
+ \ifcase\XINT_isOne {#3}
+ \xint_afterfi
+ {\xint_UDsignfork
+ #1\dummy \XINT_irr_negative
+ -\dummy {\XINT_irr_nonneg #1}%
+ \krof}%
\or
- \xint@afterfi{\XINT@irr@denomisone #1}%
+ \xint_afterfi{\XINT_irr_denomisone #1}%
\fi
#2\Z {#3}%
}%
-\def\XINT@irr@denomisone #1\Z #2{ #1}%
-\def\XINT@irr@negative #1\Z #2{\XINT@irr@D #1\Z #2\Z \xint@minus@andstop}%
-\def\XINT@irr@nonneg #1\Z #2{\XINT@irr@D #1\Z #2\Z \space}%
-\def\XINT@irr@D #1#2\Z #3#4\Z
-{%
- \xint@UDzerosfork
- #3#1\dummy \XINT@irr@indeterminate
- #30\dummy \XINT@irr@divisionbyzero
- #10\dummy \XINT@irr@zero
- 00\dummy \XINT@irr@loop@a
- \xint@UDkrof
+\def\XINT_irr_denomisone #1\Z #2{ #1}%
+\def\XINT_irr_negative #1\Z #2{\XINT_irr_D #1\Z #2\Z \xint_minus_andstop}%
+\def\XINT_irr_nonneg #1\Z #2{\XINT_irr_D #1\Z #2\Z \space}%
+\def\XINT_irr_D #1#2\Z #3#4\Z
+{%
+ \xint_UDzerosfork
+ #3#1\dummy \XINT_irr_indeterminate
+ #30\dummy \XINT_irr_divisionbyzero
+ #10\dummy \XINT_irr_zero
+ 00\dummy \XINT_irr_loop_a
+ \krof
{#3#4}{#1#2}{#3#4}{#1#2}%
}%
-\def\XINT@irr@indeterminate #1#2#3#4#5{\xintError:NaN\space 0/0}%
-\def\XINT@irr@divisionbyzero #1#2#3#4#5{\xintError:DivisionByZero #5#2/0}%
-\def\XINT@irr@zero #1#2#3#4#5{ 0}%
-\def\XINT@irr@loop@a #1#2%
+\def\XINT_irr_indeterminate #1#2#3#4#5{\xintError:NaN\space 0/0}%
+\def\XINT_irr_divisionbyzero #1#2#3#4#5{\xintError:DivisionByZero #5#2/0}%
+\def\XINT_irr_zero #1#2#3#4#5{ 0}%
+\def\XINT_irr_loop_a #1#2%
{%
- \expandafter\XINT@irr@loop@d
- \romannumeral0\XINT@div@prepare {#1}{#2}{#1}%
+ \expandafter\XINT_irr_loop_d
+ \romannumeral0\XINT_div_prepare {#1}{#2}{#1}%
}%
-\def\XINT@irr@loop@d #1#2%
+\def\XINT_irr_loop_d #1#2%
{%
- \XINT@irr@loop@e #2\Z
+ \XINT_irr_loop_e #2\Z
}%
-\def\XINT@irr@loop@e #1#2\Z
+\def\XINT_irr_loop_e #1#2\Z
{%
- \xint@zero #1\xint@irr@loop@exit0\XINT@irr@loop@a {#1#2}%
+ \xint_gob_til_zero #1\xint_irr_loop_exit0\XINT_irr_loop_a {#1#2}%
}%
-\def\xint@irr@loop@exit0\XINT@irr@loop@a #1#2#3#4%
+\def\xint_irr_loop_exit0\XINT_irr_loop_a #1#2#3#4%
{%
- \expandafter\XINT@irr@loop@exitb\expandafter
+ \expandafter\XINT_irr_loop_exitb\expandafter
{\romannumeral0\xintiquo {#3}{#2}}%
{\romannumeral0\xintiquo {#4}{#2}}%
}%
-\def\XINT@irr@loop@exitb #1#2%
+\def\XINT_irr_loop_exitb #1#2%
{%
- \expandafter\XINT@irr@finish\expandafter {#2}{#1}%
+ \expandafter\XINT_irr_finish\expandafter {#2}{#1}%
}%
-\def\XINT@irr@finish #1#2#3%
+\def\XINT_irr_finish #1#2#3%
{%
- \ifcase\XINT@isOne {#2}
- \xint@afterfi {#3#1/#2}%
+ \ifcase\XINT_isOne {#2}
+ \xint_afterfi {#3#1/#2}%
\or
- \xint@afterfi {#3#1}%
+ \xint_afterfi {#3#1}%
\fi
}%
% \end{macrocode}
% \subsection{\csh{xintNum}}
-% \begin{verbatim}
-% this extension of the xint original xintNum is added in 1.05, as a synonym to
+% \lverb|&
+% This extension of the xint original xintNum is added in 1.05, as a
+% synonym to
% \xintIrr, but raising an error when the input does not evaluate to an integer.
% Usable with not too much overhead on integer input as \xintIrr
% checks quickly for a denominator equal to 1 (which will be put there by the
-% \XINT@infrac called by \xintraw). This way, macros such as \xintQuo can be
+% \XINT_infrac called by \xintraw). This way, macros such as \xintQuo can be
% modified with minimal overhead to accept fractional input as long as it
-% evaluates to an integer.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% evaluates to an integer. |
% \begin{macrocode}
\def\xintNum {\romannumeral0\xintnum }%
-\def\xintnum #1{\expandafter\XINT@intcheck\romannumeral0\xintirr {#1}/\W\Z }%
-\def\XINT@intcheck #1/#2#3\Z
+\def\xintnum #1{\expandafter\XINT_intcheck\romannumeral0\xintirr {#1}/\W\Z }%
+\def\XINT_intcheck #1/#2#3\Z
{%
- \xint@w #2\xint@gobble@ii\W\xintError:NotAnInteger
+ \xint_gob_til_w #2\xint_gobble_ii\W
+ \xintError:NotAnInteger
\space #1%
}%
% \end{macrocode}
% \subsection{\csh{xintJrr}}
-% \begin{verbatim}
-% Modified similarly as \xintIrr in release 1.05
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% Modified similarly as \xintIrr in release 1.05|
% \begin{macrocode}
\def\xintJrr {\romannumeral0\xintjrr }%
\def\xintjrr #1%
{%
- \expandafter\XINT@jrr@start\romannumeral0\xintraw {#1}\Z
+ \expandafter\XINT_jrr_start\romannumeral0\xintraw {#1}\Z
}%
-\def\XINT@jrr@start #1#2/#3\Z
+\def\XINT_jrr_start #1#2/#3\Z
{%
- \ifcase\XINT@isOne {#3}
- \xint@afterfi
- {\xint@UDsignfork
- #1\dummy \XINT@jrr@negative
- -\dummy {\XINT@jrr@nonneg #1}%
- \xint@UDkrof}%
+ \ifcase\XINT_isOne {#3}
+ \xint_afterfi
+ {\xint_UDsignfork
+ #1\dummy \XINT_jrr_negative
+ -\dummy {\XINT_jrr_nonneg #1}%
+ \krof}%
\or
- \xint@afterfi{\XINT@jrr@denomisone #1}%
+ \xint_afterfi{\XINT_jrr_denomisone #1}%
\fi
#2\Z {#3}%
}%
-\def\XINT@jrr@denomisone #1\Z #2{ #1}%
-\def\XINT@jrr@negative #1\Z #2{\XINT@jrr@D #1\Z #2\Z \xint@minus@andstop }%
-\def\XINT@jrr@nonneg #1\Z #2{\XINT@jrr@D #1\Z #2\Z \space}%
-\def\XINT@jrr@D #1#2\Z #3#4\Z
-{%
- \xint@UDzerosfork
- #3#1\dummy \XINT@jrr@indeterminate
- #30\dummy \XINT@jrr@divisionbyzero
- #10\dummy \XINT@jrr@zero
- 00\dummy \XINT@jrr@loop@a
- \xint@UDkrof
+\def\XINT_jrr_denomisone #1\Z #2{ #1}%
+\def\XINT_jrr_negative #1\Z #2{\XINT_jrr_D #1\Z #2\Z \xint_minus_andstop }%
+\def\XINT_jrr_nonneg #1\Z #2{\XINT_jrr_D #1\Z #2\Z \space}%
+\def\XINT_jrr_D #1#2\Z #3#4\Z
+{%
+ \xint_UDzerosfork
+ #3#1\dummy \XINT_jrr_indeterminate
+ #30\dummy \XINT_jrr_divisionbyzero
+ #10\dummy \XINT_jrr_zero
+ 00\dummy \XINT_jrr_loop_a
+ \krof
{#3#4}{#1#2}1001%
}%
-\def\XINT@jrr@indeterminate #1#2#3#4#5#6#7{\xintError:NaN\space 0/0}%
-\def\XINT@jrr@divisionbyzero #1#2#3#4#5#6#7{\xintError:DivisionByZero #7#2/0}%
-\def\XINT@jrr@zero #1#2#3#4#5#6#7{ 0}%
-\def\XINT@jrr@loop@a #1#2%
+\def\XINT_jrr_indeterminate #1#2#3#4#5#6#7{\xintError:NaN\space 0/0}%
+\def\XINT_jrr_divisionbyzero #1#2#3#4#5#6#7{\xintError:DivisionByZero #7#2/0}%
+\def\XINT_jrr_zero #1#2#3#4#5#6#7{ 0}%
+\def\XINT_jrr_loop_a #1#2%
{%
- \expandafter\XINT@jrr@loop@b
- \romannumeral0\XINT@div@prepare {#1}{#2}{#1}%
+ \expandafter\XINT_jrr_loop_b
+ \romannumeral0\XINT_div_prepare {#1}{#2}{#1}%
}%
-\def\XINT@jrr@loop@b #1#2#3#4#5#6#7%
+\def\XINT_jrr_loop_b #1#2#3#4#5#6#7%
{%
- \expandafter \XINT@jrr@loop@c \expandafter
- {\romannumeral0\xintiadd{\XINT@Mul{#4}{#1}}{#6}}%
- {\romannumeral0\xintiadd{\XINT@Mul{#5}{#1}}{#7}}%
+ \expandafter \XINT_jrr_loop_c \expandafter
+ {\romannumeral0\xintiadd{\XINT_Mul{#4}{#1}}{#6}}%
+ {\romannumeral0\xintiadd{\XINT_Mul{#5}{#1}}{#7}}%
{#2}{#3}{#4}{#5}%
}%
-\def\XINT@jrr@loop@c #1#2%
+\def\XINT_jrr_loop_c #1#2%
{%
- \expandafter \XINT@jrr@loop@d \expandafter{#2}{#1}%
+ \expandafter \XINT_jrr_loop_d \expandafter{#2}{#1}%
}%
-\def\XINT@jrr@loop@d #1#2#3#4%
+\def\XINT_jrr_loop_d #1#2#3#4%
{%
- \XINT@jrr@loop@e #3\Z {#4}{#2}{#1}%
+ \XINT_jrr_loop_e #3\Z {#4}{#2}{#1}%
}%
-\def\XINT@jrr@loop@e #1#2\Z
+\def\XINT_jrr_loop_e #1#2\Z
{%
- \xint@zero #1\xint@jrr@loop@exit0\XINT@jrr@loop@a {#1#2}%
+ \xint_gob_til_zero #1\xint_jrr_loop_exit0\XINT_jrr_loop_a {#1#2}%
}%
-\def\xint@jrr@loop@exit0\XINT@jrr@loop@a #1#2#3#4#5#6%
+\def\xint_jrr_loop_exit0\XINT_jrr_loop_a #1#2#3#4#5#6%
{%
- \XINT@irr@finish {#3}{#4}%
+ \XINT_irr_finish {#3}{#4}%
}%
% \end{macrocode}
% \subsection{\csh{xintTrunc}, \csh{xintiTrunc}}
-% \begin{verbatim}
-% Modified in 1.06 to give the first argument to a \numexpr
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% Modified in 1.06 to give the first argument to a \numexpr|
% \begin{macrocode}
\def\xintTrunc {\romannumeral0\xinttrunc }%
\def\xintiTrunc {\romannumeral0\xintitrunc }%
\def\xinttrunc #1%
{%
- \expandafter\XINT@trunc\expandafter {\the\numexpr #1}%
+ \expandafter\XINT_trunc\expandafter {\the\numexpr #1}%
}%
-\def\XINT@trunc #1#2%
+\def\XINT_trunc #1#2%
{%
- \expandafter\XINT@trunc@G
- \romannumeral0\expandafter\XINT@trunc@A
- \romannumeral0\XINT@infrac {#2}{#1}{#1}%
+ \expandafter\XINT_trunc_G
+ \romannumeral0\expandafter\XINT_trunc_A
+ \romannumeral0\XINT_infrac {#2}{#1}{#1}%
}%
\def\xintitrunc #1%
{%
- \expandafter\XINT@itrunc\expandafter {\the\numexpr #1}%
+ \expandafter\XINT_itrunc\expandafter {\the\numexpr #1}%
}%
-\def\XINT@itrunc #1#2%
+\def\XINT_itrunc #1#2%
{%
- \expandafter\XINT@itrunc@G
- \romannumeral0\expandafter\XINT@trunc@A
- \romannumeral0\XINT@infrac {#2}{#1}{#1}%
+ \expandafter\XINT_itrunc_G
+ \romannumeral0\expandafter\XINT_trunc_A
+ \romannumeral0\XINT_infrac {#2}{#1}{#1}%
}%
-\def\XINT@trunc@A #1#2#3#4%
+\def\XINT_trunc_A #1#2#3#4%
{%
- \expandafter\XINT@trunc@checkifzero
+ \expandafter\XINT_trunc_checkifzero
\expandafter{\the\numexpr #1+#4}#2\Z {#3}%
}%
-\def\XINT@trunc@checkifzero #1#2#3\Z
+\def\XINT_trunc_checkifzero #1#2#3\Z
{%
- \xint@zero #2\XINT@trunc@iszero0\XINT@trunc@B {#1}{#2#3}%
+ \xint_gob_til_zero #2\XINT_trunc_iszero0\XINT_trunc_B {#1}{#2#3}%
}%
-\def\XINT@trunc@iszero #1#2#3#4#5{ 0\Z 0}%
-\def\XINT@trunc@B #1%
+\def\XINT_trunc_iszero #1#2#3#4#5{ 0\Z 0}%
+\def\XINT_trunc_B #1%
{%
- \ifcase\XINT@Sgn {#1}
- \expandafter\XINT@trunc@D
+ \ifcase\XINT_Sgn {#1}
+ \expandafter\XINT_trunc_D
\or
- \expandafter\XINT@trunc@D
+ \expandafter\XINT_trunc_D
\else
- \expandafter\XINT@trunc@C
+ \expandafter\XINT_trunc_C
\fi
{#1}%
}%
-\def\XINT@trunc@C #1#2#3%
+\def\XINT_trunc_C #1#2#3%
{%
- \expandafter \XINT@trunc@E
- \romannumeral0\xint@dsh {#3}{#1}\Z #2\Z
+ \expandafter \XINT_trunc_E
+ \romannumeral0\xint_dsh {#3}{#1}\Z #2\Z
}%
-\def\XINT@trunc@D #1#2%
+\def\XINT_trunc_D #1#2%
{%
- \expandafter \XINT@trunc@DE \expandafter
- {\romannumeral0\xint@dsh {#2}{-#1}}%
+ \expandafter \XINT_trunc_DE \expandafter
+ {\romannumeral0\xint_dsh {#2}{-#1}}%
}%
-\def\XINT@trunc@DE #1#2{\XINT@trunc@E #2\Z #1\Z }%
-\def\XINT@trunc@E #1#2\Z #3#4\Z
+\def\XINT_trunc_DE #1#2{\XINT_trunc_E #2\Z #1\Z }%
+\def\XINT_trunc_E #1#2\Z #3#4\Z
{%
- \xint@UDsignsfork
- #1#3\dummy \XINT@trunc@minusminus
- #1-\dummy {\XINT@trunc@minusplus #3}%
- #3-\dummy {\XINT@trunc@plusminus #1}%
- --\dummy {\XINT@trunc@plusplus #3#1}%
- \xint@UDkrof
+ \xint_UDsignsfork
+ #1#3\dummy \XINT_trunc_minusminus
+ #1-\dummy {\XINT_trunc_minusplus #3}%
+ #3-\dummy {\XINT_trunc_plusminus #1}%
+ --\dummy {\XINT_trunc_plusplus #3#1}%
+ \krof
{#4}{#2}%
}%
-\def\XINT@trunc@minusminus #1#2{\xintiquo {#1}{#2}\Z \space}%
-\def\XINT@trunc@minusplus #1#2#3{\xintiquo {#1#2}{#3}\Z \xint@minus@andstop}%
-\def\XINT@trunc@plusminus #1#2#3{\xintiquo {#2}{#1#3}\Z \xint@minus@andstop}%
-\def\XINT@trunc@plusplus #1#2#3#4{\xintiquo {#1#3}{#2#4}\Z \space}%
-\def\XINT@itrunc@G #1#2\Z #3#4%
+\def\XINT_trunc_minusminus #1#2{\xintiquo {#1}{#2}\Z \space}%
+\def\XINT_trunc_minusplus #1#2#3{\xintiquo {#1#2}{#3}\Z \xint_minus_andstop}%
+\def\XINT_trunc_plusminus #1#2#3{\xintiquo {#2}{#1#3}\Z \xint_minus_andstop}%
+\def\XINT_trunc_plusplus #1#2#3#4{\xintiquo {#1#3}{#2#4}\Z \space}%
+\def\XINT_itrunc_G #1#2\Z #3#4%
{%
- \xint@zero #1\XINT@trunc@zero 0\xint@firstoftwo {#3#1#2}0%
+ \xint_gob_til_zero #1\XINT_trunc_zero 0\xint_firstoftwo {#3#1#2}0%
}%
-\def\XINT@trunc@G #1\Z #2#3%
+\def\XINT_trunc_G #1\Z #2#3%
{%
- \xint@zero #2\XINT@trunc@zero 0%
- \expandafter\XINT@trunc@H\expandafter
- {\the\numexpr\romannumeral0\XINT@length {#1}-#3}{#3}{#1}#2%
+ \xint_gob_til_zero #2\XINT_trunc_zero 0%
+ \expandafter\XINT_trunc_H\expandafter
+ {\the\numexpr\romannumeral0\XINT_length {#1}-#3}{#3}{#1}#2%
}%
-\def\XINT@trunc@zero 0#10{ 0}%
-\def\XINT@trunc@H #1#2%
+\def\XINT_trunc_zero 0#10{ 0}%
+\def\XINT_trunc_H #1#2%
{%
\ifnum #1 > 0
- \xint@afterfi {\XINT@trunc@Ha {#2}}%
+ \xint_afterfi {\XINT_trunc_Ha {#2}}%
\else
- \xint@afterfi {\XINT@trunc@Hb {-#1}}% -0,--1,--2, ....
+ \xint_afterfi {\XINT_trunc_Hb {-#1}}% -0,--1,--2, ....
\fi
}%
-\def\XINT@trunc@Ha
+\def\XINT_trunc_Ha
{%
- \expandafter\XINT@trunc@Haa\romannumeral0\xintdecsplit
+ \expandafter\XINT_trunc_Haa\romannumeral0\xintdecsplit
}%
-\def\XINT@trunc@Haa #1#2#3%
+\def\XINT_trunc_Haa #1#2#3%
{%
#3#1.#2%
}%
-\def\XINT@trunc@Hb #1#2#3%
+\def\XINT_trunc_Hb #1#2#3%
{%
\expandafter #3\expandafter0\expandafter.%
- \romannumeral0\XINT@dsx@zeroloop {#1}\Z {}#2% #1=-0 possible!
+ \romannumeral0\XINT_dsx_zeroloop {#1}\Z {}#2% #1=-0 possible!
}%
% \end{macrocode}
% \subsection{\csh{xintRound}, \csh{xintiRound}}
-% \begin{verbatim}
-% Modified in 1.06 to give the first argument to a \numexpr
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% Modified in 1.06 to give the first argument to a \numexpr|
% \begin{macrocode}
\def\xintRound {\romannumeral0\xintround }%
\def\xintiRound {\romannumeral0\xintiround }%
\def\xintround #1%
{%
- \expandafter\XINT@round\expandafter {\the\numexpr #1}%
+ \expandafter\XINT_round\expandafter {\the\numexpr #1}%
}%
-\def\XINT@round
+\def\XINT_round
{%
- \expandafter\XINT@trunc@G\romannumeral0\XINT@round@A
+ \expandafter\XINT_trunc_G\romannumeral0\XINT_round_A
}%
\def\xintiround #1%
{%
- \expandafter\XINT@iround\expandafter {\the\numexpr #1}%
+ \expandafter\XINT_iround\expandafter {\the\numexpr #1}%
}%
-\def\XINT@iround
+\def\XINT_iround
{%
- \expandafter\XINT@itrunc@G\romannumeral0\XINT@round@A
+ \expandafter\XINT_itrunc_G\romannumeral0\XINT_round_A
}%
-\def\XINT@round@A #1#2%
+\def\XINT_round_A #1#2%
{%
- \expandafter\XINT@round@B
- \romannumeral0\expandafter\XINT@trunc@A
- \romannumeral0\XINT@infrac {#2}{\the\numexpr #1+1\relax}{#1}%
+ \expandafter\XINT_round_B
+ \romannumeral0\expandafter\XINT_trunc_A
+ \romannumeral0\XINT_infrac {#2}{\the\numexpr #1+1\relax}{#1}%
}%
-\def\XINT@round@B #1\Z
+\def\XINT_round_B #1\Z
{%
- \expandafter\XINT@round@C
- \romannumeral0\XINT@rord@main {}#1%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \expandafter\XINT_round_C
+ \romannumeral0\XINT_rord_main {}#1%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
\Z
}%
-\def\XINT@round@C #1%
+\def\XINT_round_C #1%
{%
\ifnum #1<5
- \expandafter\XINT@round@Daa
+ \expandafter\XINT_round_Daa
\else
- \expandafter\XINT@round@Dba
+ \expandafter\XINT_round_Dba
\fi
}%
-\def\XINT@round@Daa #1%
+\def\XINT_round_Daa #1%
{%
- \xint@z #1\XINT@round@Daz\Z \XINT@round@Da #1%
+ \xint_gob_til_z #1\XINT_round_Daz\Z \XINT_round_Da #1%
}%
-\def\XINT@round@Daz\Z \XINT@round@Da \Z { 0\Z }%
-\def\XINT@round@Da #1\Z
+\def\XINT_round_Daz\Z \XINT_round_Da \Z { 0\Z }%
+\def\XINT_round_Da #1\Z
{%
- \XINT@rord@main {}#1%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF \Z
+ \XINT_rord_main {}#1%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax \Z
}%
-\def\XINT@round@Dba #1%
+\def\XINT_round_Dba #1%
{%
- \xint@z #1\XINT@round@Dbz\Z \XINT@round@Db #1%
+ \xint_gob_til_z #1\XINT_round_Dbz\Z \XINT_round_Db #1%
}%
-\def\XINT@round@Dbz\Z \XINT@round@Db \Z { 1\Z }%
-\def\XINT@round@Db #1\Z
+\def\XINT_round_Dbz\Z \XINT_round_Db \Z { 1\Z }%
+\def\XINT_round_Db #1\Z
{%
- \XINT@addm@A 0{}1000\W\X\Y\Z #1000\W\X\Y\Z \Z
+ \XINT_addm_A 0{}1000\W\X\Y\Z #1000\W\X\Y\Z \Z
}%
% \end{macrocode}
% \subsection{\csh{xintAdd}}
@@ -10182,21 +10015,21 @@ first place.
\def\xintAdd {\romannumeral0\xintadd }%
\def\xintadd #1%
{%
- \expandafter\xint@fadd\expandafter {\romannumeral0\XINT@infrac {#1}}%
+ \expandafter\xint_fadd\expandafter {\romannumeral0\XINT_infrac {#1}}%
}%
-\def\xint@fadd #1#2{\expandafter\XINT@fadd@A\romannumeral0\XINT@infrac{#2}#1}%
-\def\XINT@fadd@A #1#2#3#4%
+\def\xint_fadd #1#2{\expandafter\XINT_fadd_A\romannumeral0\XINT_infrac{#2}#1}%
+\def\XINT_fadd_A #1#2#3#4%
{%
\ifnum #4 > #1
- \xint@afterfi {\XINT@fadd@B {#1}}%
+ \xint_afterfi {\XINT_fadd_B {#1}}%
\else
- \xint@afterfi {\XINT@fadd@B {#4}}%
+ \xint_afterfi {\XINT_fadd_B {#4}}%
\fi
{#1}{#4}{#2}{#3}%
}%
-\def\XINT@fadd@B #1#2#3#4#5#6#7%
+\def\XINT_fadd_B #1#2#3#4#5#6#7%
{%
- \expandafter\XINT@fadd@C\expandafter
+ \expandafter\XINT_fadd_C\expandafter
{\romannumeral0\xintimul {#7}{#5}}%
{\romannumeral0\xintiadd
{\romannumeral0\xintimul {\xintDSH {\the\numexpr -#3+#1\relax}{#6}}{#5}}%
@@ -10204,33 +10037,33 @@ first place.
}%
{#1}%
}%
-\def\XINT@fadd@C #1#2#3%
+\def\XINT_fadd_C #1#2#3%
{%
- \expandafter\XINT@fadd@D\expandafter {#2}{#3}{#1}%
+ \expandafter\XINT_fadd_D\expandafter {#2}{#3}{#1}%
}%
-\def\XINT@fadd@D #1#2{\XINT@outfrac {#2}{#1}}%
+\def\XINT_fadd_D #1#2{\XINT_outfrac {#2}{#1}}%
% \end{macrocode}
% \subsection{\csh{xintSub}}
% \begin{macrocode}
\def\xintSub {\romannumeral0\xintsub }%
\def\xintsub #1%
{%
- \expandafter\xint@fsub\expandafter {\romannumeral0\XINT@infrac {#1}}%
+ \expandafter\xint_fsub\expandafter {\romannumeral0\XINT_infrac {#1}}%
}%
-\def\xint@fsub #1#2%
- {\expandafter\XINT@fsub@A\romannumeral0\XINT@infrac {#2}#1}%
-\def\XINT@fsub@A #1#2#3#4%
+\def\xint_fsub #1#2%
+ {\expandafter\XINT_fsub_A\romannumeral0\XINT_infrac {#2}#1}%
+\def\XINT_fsub_A #1#2#3#4%
{%
\ifnum #4 > #1
- \xint@afterfi {\XINT@fsub@B {#1}}%
+ \xint_afterfi {\XINT_fsub_B {#1}}%
\else
- \xint@afterfi {\XINT@fsub@B {#4}}%
+ \xint_afterfi {\XINT_fsub_B {#4}}%
\fi
{#1}{#4}{#2}{#3}%
}%
-\def\XINT@fsub@B #1#2#3#4#5#6#7%
+\def\XINT_fsub_B #1#2#3#4#5#6#7%
{%
- \expandafter\XINT@fsub@C\expandafter
+ \expandafter\XINT_fsub_C\expandafter
{\romannumeral0\xintimul {#7}{#5}}%
{\romannumeral0\xintisub
{\romannumeral0\xintimul {\xintDSH {\the\numexpr -#3+#1\relax}{#6}}{#5}}%
@@ -10238,176 +10071,174 @@ first place.
}%
{#1}%
}%
-\def\XINT@fsub@C #1#2#3%
+\def\XINT_fsub_C #1#2#3%
{%
- \expandafter\XINT@fsub@D\expandafter {#2}{#3}{#1}%
+ \expandafter\XINT_fsub_D\expandafter {#2}{#3}{#1}%
}%
-\def\XINT@fsub@D #1#2{\XINT@outfrac {#2}{#1}}%
+\def\XINT_fsub_D #1#2{\XINT_outfrac {#2}{#1}}%
% \end{macrocode}
% \subsection{\csh{xintSum}, \csh{xintSumExpr}}
% \begin{macrocode}
\def\xintSum {\romannumeral0\xintsum }%
\def\xintsum #1{\xintsumexpr #1\relax }%
\def\xintSumExpr {\romannumeral0\xintsumexpr }%
-\def\xintsumexpr {\expandafter\XINT@fsumexpr\romannumeral-`0}%
-\def\XINT@fsumexpr {\XINT@fsum@loop@a {0/1[0]}}%
-\def\XINT@fsum@loop@a #1#2%
+\def\xintsumexpr {\expandafter\XINT_fsumexpr\romannumeral-`0}%
+\def\XINT_fsumexpr {\XINT_fsum_loop_a {0/1[0]}}%
+\def\XINT_fsum_loop_a #1#2%
{%
- \expandafter\XINT@fsum@loop@b \romannumeral-`0#2\Z {#1}%
+ \expandafter\XINT_fsum_loop_b \romannumeral-`0#2\Z {#1}%
}%
-\def\XINT@fsum@loop@b #1%
+\def\XINT_fsum_loop_b #1%
{%
- \xint@relax #1\XINT@fsum@finished\relax
- \XINT@fsum@loop@c #1%
+ \xint_gob_til_relax #1\XINT_fsum_finished\relax
+ \XINT_fsum_loop_c #1%
}%
-\def\XINT@fsum@loop@c #1\Z #2%
+\def\XINT_fsum_loop_c #1\Z #2%
{%
- \expandafter\XINT@fsum@loop@a\expandafter{\romannumeral0\xintadd {#2}{#1}}%
+ \expandafter\XINT_fsum_loop_a\expandafter{\romannumeral0\xintadd {#2}{#1}}%
}%
-\def\XINT@fsum@finished #1\Z #2{ #2}%
+\def\XINT_fsum_finished #1\Z #2{ #2}%
% \end{macrocode}
% \subsection{\csh{xintMul}}
% \begin{macrocode}
\def\xintMul {\romannumeral0\xintmul }%
\def\xintmul #1%
{%
- \expandafter\xint@fmul\expandafter {\romannumeral0\XINT@infrac {#1}}%
+ \expandafter\xint_fmul\expandafter {\romannumeral0\XINT_infrac {#1}}%
}%
-\def\xint@fmul #1#2%
- {\expandafter\XINT@fmul@A\romannumeral0\XINT@infrac {#2}#1}%
-\def\XINT@fmul@A #1#2#3#4#5#6%
+\def\xint_fmul #1#2%
+ {\expandafter\XINT_fmul_A\romannumeral0\XINT_infrac {#2}#1}%
+\def\XINT_fmul_A #1#2#3#4#5#6%
{%
- \expandafter\XINT@fmul@B
+ \expandafter\XINT_fmul_B
\expandafter{\the\numexpr #1+#4\expandafter}%
\expandafter{\romannumeral0\xintimul {#6}{#3}}%
{\romannumeral0\xintimul {#5}{#2}}%
}%
-\def\XINT@fmul@B #1#2#3%
+\def\XINT_fmul_B #1#2#3%
{%
- \expandafter \XINT@fmul@C \expandafter{#3}{#1}{#2}%
+ \expandafter \XINT_fmul_C \expandafter{#3}{#1}{#2}%
}%
-\def\XINT@fmul@C #1#2{\XINT@outfrac {#2}{#1}}%
+\def\XINT_fmul_C #1#2{\XINT_outfrac {#2}{#1}}%
% \end{macrocode}
% \subsection{\csh{xintSqr}}
% \begin{macrocode}
\def\xintSqr {\romannumeral0\xintsqr }%
\def\xintsqr #1%
{%
- \expandafter\xint@fsqr\expandafter{\romannumeral0\XINT@infrac {#1}}%
+ \expandafter\xint_fsqr\expandafter{\romannumeral0\XINT_infrac {#1}}%
}%
-\def\xint@fsqr #1{\XINT@fmul@A #1#1}%
+\def\xint_fsqr #1{\XINT_fmul_A #1#1}%
% \end{macrocode}
% \subsection{\csh{xintPow}}
-% \begin{verbatim}
-% Modified in 1.06 to give the exponent to a \numexpr
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% \lverb|&
+% Modified in 1.06 to give the exponent to a \numexpr|
% \begin{macrocode}
\def\xintPow {\romannumeral0\xintpow }%
\def\xintpow #1%
{%
- \expandafter\xint@fpow\expandafter {\romannumeral0\XINT@infrac {#1}}%
+ \expandafter\xint_fpow\expandafter {\romannumeral0\XINT_infrac {#1}}%
}%
-\def\xint@fpow #1#2%
+\def\xint_fpow #1#2%
{%
- \expandafter\XINT@fpow@fork\the\numexpr #2\relax\Z #1%
+ \expandafter\XINT_fpow_fork\the\numexpr #2\relax\Z #1%
}%
-\def\XINT@fpow@fork #1#2\Z
+\def\XINT_fpow_fork #1#2\Z
{%
- \xint@UDzerominusfork
- #1-\dummy \XINT@fpow@zero
- 0#1\dummy \XINT@fpow@neg
- 0-\dummy {\XINT@fpow@pos #1}%
- \xint@UDkrof
+ \xint_UDzerominusfork
+ #1-\dummy \XINT_fpow_zero
+ 0#1\dummy \XINT_fpow_neg
+ 0-\dummy {\XINT_fpow_pos #1}%
+ \krof
{#2}%
}%
-\def\XINT@fpow@zero #1#2#3#4%
+\def\XINT_fpow_zero #1#2#3#4%
{%
\space 1/1[0]%
}%
-\def\XINT@fpow@pos #1#2#3#4#5%
+\def\XINT_fpow_pos #1#2#3#4#5%
{%
- \expandafter\XINT@fpow@pos@A\expandafter
+ \expandafter\XINT_fpow_pos_A\expandafter
{\the\numexpr #1#2*#3\expandafter}\expandafter
{\romannumeral0\xintipow {#5}{#1#2}}%
{\romannumeral0\xintipow {#4}{#1#2}}%
}%
-\def\XINT@fpow@neg #1#2#3#4%
+\def\XINT_fpow_neg #1#2#3#4%
{%
- \expandafter\XINT@fpow@pos@A\expandafter
+ \expandafter\XINT_fpow_pos_A\expandafter
{\the\numexpr -#1*#2\expandafter}\expandafter
{\romannumeral0\xintipow {#3}{#1}}%
{\romannumeral0\xintipow {#4}{#1}}%
}%
-\def\XINT@fpow@pos@A #1#2#3%
+\def\XINT_fpow_pos_A #1#2#3%
{%
- \expandafter\XINT@fpow@pos@B\expandafter {#3}{#1}{#2}%
+ \expandafter\XINT_fpow_pos_B\expandafter {#3}{#1}{#2}%
}%
-\def\XINT@fpow@pos@B #1#2{\XINT@outfrac {#2}{#1}}%
+\def\XINT_fpow_pos_B #1#2{\XINT_outfrac {#2}{#1}}%
% \end{macrocode}
% \subsection{\csh{xintPrd}, \csh{xintPrdExpr}}
% \begin{macrocode}
\def\xintPrd {\romannumeral0\xintprd }%
\def\xintprd #1{\xintprdexpr #1\relax }%
\def\xintPrdExpr {\romannumeral0\xintprdexpr }%
-\def\xintprdexpr {\expandafter\XINT@fprdexpr \romannumeral-`0}%
-\def\XINT@fprdexpr {\XINT@fprod@loop@a {1/1[0]}}%
-\def\XINT@fprod@loop@a #1#2%
+\def\xintprdexpr {\expandafter\XINT_fprdexpr \romannumeral-`0}%
+\def\XINT_fprdexpr {\XINT_fprod_loop_a {1/1[0]}}%
+\def\XINT_fprod_loop_a #1#2%
{%
- \expandafter\XINT@fprod@loop@b \romannumeral-`0#2\Z {#1}%
+ \expandafter\XINT_fprod_loop_b \romannumeral-`0#2\Z {#1}%
}%
-\def\XINT@fprod@loop@b #1%
+\def\XINT_fprod_loop_b #1%
{%
- \xint@relax #1\XINT@fprod@finished\relax
- \XINT@fprod@loop@c #1%
+ \xint_gob_til_relax #1\XINT_fprod_finished\relax
+ \XINT_fprod_loop_c #1%
}%
-\def\XINT@fprod@loop@c #1\Z #2%
+\def\XINT_fprod_loop_c #1\Z #2%
{%
- \expandafter\XINT@fprod@loop@a\expandafter{\romannumeral0\xintmul {#1}{#2}}%
+ \expandafter\XINT_fprod_loop_a\expandafter{\romannumeral0\xintmul {#1}{#2}}%
}%
-\def\XINT@fprod@finished #1\Z #2{ #2}%
+\def\XINT_fprod_finished #1\Z #2{ #2}%
% \end{macrocode}
% \subsection{\csh{xintDiv}}
% \begin{macrocode}
\def\xintDiv {\romannumeral0\xintdiv }%
\def\xintdiv #1%
{%
- \expandafter\xint@fdiv\expandafter {\romannumeral0\XINT@infrac {#1}}%
+ \expandafter\xint_fdiv\expandafter {\romannumeral0\XINT_infrac {#1}}%
}%
-\def\xint@fdiv #1#2%
- {\expandafter\XINT@fdiv@A\romannumeral0\XINT@infrac {#2}#1}%
-\def\XINT@fdiv@A #1#2#3#4#5#6%
+\def\xint_fdiv #1#2%
+ {\expandafter\XINT_fdiv_A\romannumeral0\XINT_infrac {#2}#1}%
+\def\XINT_fdiv_A #1#2#3#4#5#6%
{%
- \expandafter\XINT@fdiv@B
+ \expandafter\XINT_fdiv_B
\expandafter{\the\numexpr #4-#1\expandafter}%
\expandafter{\romannumeral0\xintimul {#2}{#6}}%
{\romannumeral0\xintimul {#3}{#5}}%
}%
-\def\XINT@fdiv@B #1#2#3%
+\def\XINT_fdiv_B #1#2#3%
{%
- \expandafter\XINT@fdiv@C
+ \expandafter\XINT_fdiv_C
\expandafter{#3}{#1}{#2}%
}%
-\def\XINT@fdiv@C #1#2{\XINT@outfrac {#2}{#1}}%
+\def\XINT_fdiv_C #1#2{\XINT_outfrac {#2}{#1}}%
% \end{macrocode}
% \subsection{\csh{xintCmp}}
% \begin{macrocode}
\def\xintCmp {\romannumeral0\xintcmp }%
\def\xintcmp #1%
{%
- \expandafter\xint@fcmp\expandafter {\romannumeral0\XINT@infrac {#1}}%
+ \expandafter\xint_fcmp\expandafter {\romannumeral0\XINT_infrac {#1}}%
}%
-\def\xint@fcmp #1#2{\expandafter\XINT@fcmp@A\romannumeral0\XINT@infrac {#2}#1}%
-\def\XINT@fcmp@A #1#2#3#4%
+\def\xint_fcmp #1#2{\expandafter\XINT_fcmp_A\romannumeral0\XINT_infrac {#2}#1}%
+\def\XINT_fcmp_A #1#2#3#4%
{%
\ifnum #4 > #1
- \xint@afterfi {\XINT@fcmp@B {#1}}%
+ \xint_afterfi {\XINT_fcmp_B {#1}}%
\else
- \xint@afterfi {\XINT@fcmp@B {#4}}%
+ \xint_afterfi {\XINT_fcmp_B {#4}}%
\fi
{#1}{#4}{#2}{#3}%
}%
-\def\XINT@fcmp@B #1#2#3#4#5#6#7%
+\def\XINT_fcmp_B #1#2#3#4#5#6#7%
{%
\xinticmp
{\romannumeral0\xintimul {\xintDSH {\the\numexpr -#3+#1\relax}{#6}}{#5}}%
@@ -10419,29 +10250,29 @@ first place.
\def\xintMax {\romannumeral0\xintmax }%
\def\xintmax #1%
{%
- \expandafter\xint@fmax\expandafter {\romannumeral0\XINT@infrac {#1}}%
+ \expandafter\xint_fmax\expandafter {\romannumeral0\XINT_infrac {#1}}%
}%
-\def\xint@fmax #1#2{\expandafter\XINT@outfrac
- \romannumeral0\expandafter\XINT@fmax@A
- \romannumeral0\XINT@infrac {#2}#1}%
-\def\XINT@fmax@A #1#2#3#4#5#6%
+\def\xint_fmax #1#2{\expandafter\XINT_outfrac
+ \romannumeral0\expandafter\XINT_fmax_A
+ \romannumeral0\XINT_infrac {#2}#1}%
+\def\XINT_fmax_A #1#2#3#4#5#6%
{%
\ifnum #4 > #1
- \xint@afterfi {\XINT@fmax@B {#1}}%
+ \xint_afterfi {\XINT_fmax_B {#1}}%
\else
- \xint@afterfi {\XINT@fmax@B {#4}}%
+ \xint_afterfi {\XINT_fmax_B {#4}}%
\fi
{#1}{#4}{#2}{#3}{#5}{#6}{{#4}{#5}{#6}}{{#1}{#2}{#3}}%
}%
-\def\XINT@fmax@B #1#2#3#4#5#6#7%
+\def\XINT_fmax_B #1#2#3#4#5#6#7%
{%
- \expandafter\XINT@fmax@C\expandafter
+ \expandafter\XINT_fmax_C\expandafter
{\romannumeral0\xintimul {\xintDSH {\the\numexpr -#3+#1\relax}{#6}}{#5}}%
{\romannumeral0\xintimul {#7}{\xintDSH {\the\numexpr -#2+#1\relax}{#4}}}%
}%
-\def\XINT@fmax@C #1#2%
+\def\XINT_fmax_C #1#2%
{%
- \expandafter\XINT@max@fork #2\Z #1\Z
+ \expandafter\XINT_max_fork #2\Z #1\Z
}%
% \end{macrocode}
% \subsection{\csh{xintMin}}
@@ -10449,32 +10280,32 @@ first place.
\def\xintMin {\romannumeral0\xintmin }%
\def\xintmin #1%
{%
- \expandafter\xint@fmin\expandafter {\romannumeral0\XINT@infrac {#1}}%
+ \expandafter\xint_fmin\expandafter {\romannumeral0\XINT_infrac {#1}}%
}%
-\def\xint@fmin #1#2%
+\def\xint_fmin #1#2%
{%
- \expandafter\XINT@outfrac
- \romannumeral0\expandafter\XINT@fmin@A
- \romannumeral0\XINT@infrac {#2}#1%
+ \expandafter\XINT_outfrac
+ \romannumeral0\expandafter\XINT_fmin_A
+ \romannumeral0\XINT_infrac {#2}#1%
}%
-\def\XINT@fmin@A #1#2#3#4#5#6%
+\def\XINT_fmin_A #1#2#3#4#5#6%
{%
\ifnum #4 > #1
- \xint@afterfi {\XINT@fmin@B {#1}}%
+ \xint_afterfi {\XINT_fmin_B {#1}}%
\else
- \xint@afterfi {\XINT@fmin@B {#4}}%
+ \xint_afterfi {\XINT_fmin_B {#4}}%
\fi
{#1}{#4}{#2}{#3}{#5}{#6}{{#4}{#5}{#6}}{{#1}{#2}{#3}}%
}%
-\def\XINT@fmin@B #1#2#3#4#5#6#7%
+\def\XINT_fmin_B #1#2#3#4#5#6#7%
{%
- \expandafter\XINT@fmin@C\expandafter
+ \expandafter\XINT_fmin_C\expandafter
{\romannumeral0\xintimul {\xintDSH {\the\numexpr -#3+#1\relax}{#6}}{#5}}%
{\romannumeral0\xintimul {#7}{\xintDSH {\the\numexpr -#2+#1\relax}{#4}}}%
}%
-\def\XINT@fmin@C #1#2%
+\def\XINT_fmin_C #1#2%
{%
- \expandafter\XINT@min@fork #2\Z #1\Z
+ \expandafter\XINT_min_fork #2\Z #1\Z
}%
% \end{macrocode}
% \subsection{\csh{xintAbs}}
@@ -10482,13 +10313,13 @@ first place.
\def\xintAbs {\romannumeral0\xintabs }%
\def\xintabs #1%
{%
- \expandafter\xint@fabs\romannumeral0\XINT@infrac {#1}%
+ \expandafter\xint_fabs\romannumeral0\XINT_infrac {#1}%
}%
-\def\xint@fabs #1#2%
+\def\xint_fabs #1#2%
{%
- \expandafter\XINT@outfrac\expandafter
+ \expandafter\XINT_outfrac\expandafter
{\the\numexpr #1\expandafter}\expandafter
- {\romannumeral0\XINT@abs #2}%
+ {\romannumeral0\XINT_abs #2}%
}%
% \end{macrocode}
% \subsection{\csh{xintOpp}}
@@ -10496,13 +10327,13 @@ first place.
\def\xintOpp {\romannumeral0\xintopp }%
\def\xintopp #1%
{%
- \expandafter\xint@fopp\romannumeral0\XINT@infrac {#1}%
+ \expandafter\xint_fopp\romannumeral0\XINT_infrac {#1}%
}%
-\def\xint@fopp #1#2%
+\def\xint_fopp #1#2%
{%
- \expandafter\XINT@outfrac\expandafter
+ \expandafter\XINT_outfrac\expandafter
{\the\numexpr #1\expandafter}\expandafter
- {\romannumeral0\XINT@opp #2}%
+ {\romannumeral0\XINT_opp #2}%
}%
% \end{macrocode}
% \subsection{\csh{xintSgn}}
@@ -10510,20 +10341,20 @@ first place.
\def\xintSgn {\romannumeral0\xintsgn }%
\def\xintsgn #1%
{%
- \expandafter\xint@fsgn\romannumeral0\XINT@infrac {#1}%
+ \expandafter\xint_fsgn\romannumeral0\XINT_infrac {#1}%
}%
-\def\xint@fsgn #1#2#3{\xintisgn {#2}}%
+\def\xint_fsgn #1#2#3{\xintisgn {#2}}%
% \end{macrocode}
% \subsection{\csh{xintGeq}}
% \begin{macrocode}
\def\xintGeq {\romannumeral0\xintgeq }%
\def\xintgeq #1%
{%
- \expandafter\xint@xgeq\expandafter{\romannumeral0\xintnum {#1}}%
+ \expandafter\xint_xgeq\expandafter{\romannumeral0\xintnum {#1}}%
}%
-\def\xint@xgeq #1#2%
+\def\xint_xgeq #1#2%
{%
- \expandafter\XINT@geq@fork\romannumeral0\xintnum {#2}\Z #1\Z
+ \expandafter\XINT_geq_fork\romannumeral0\xintnum {#2}\Z #1\Z
}%
% \end{macrocode}
% \subsection{\csh{xintDivision},~\csh{xintQuo},~\csh{xintRem}}
@@ -10531,17 +10362,17 @@ first place.
\def\xintDivision {\romannumeral0\xintdivision }%
\def\xintdivision #1%
{%
- \expandafter\xint@xdivision\expandafter{\romannumeral0\xintnum {#1}}%
+ \expandafter\xint_xdivision\expandafter{\romannumeral0\xintnum {#1}}%
}%
-\def\xint@xdivision #1#2%
+\def\xint_xdivision #1#2%
{%
- \expandafter\XINT@div@fork\romannumeral0\xintnum {#2}\Z #1\Z
+ \expandafter\XINT_div_fork\romannumeral0\xintnum {#2}\Z #1\Z
}%
\def\xintQuo {\romannumeral0\xintquo }%
\def\xintRem {\romannumeral0\xintrem }%
-\def\xintquo {\expandafter\xint@firstoftwo@andstop
+\def\xintquo {\expandafter\xint_firstoftwo_andstop
\romannumeral0\xintdivision }%
-\def\xintrem {\expandafter\xint@secondoftwo@andstop
+\def\xintrem {\expandafter\xint_secondoftwo_andstop
\romannumeral0\xintdivision }%
% \end{macrocode}
% \subsection{\csh{xintFDg},~\csh{xintLDg},~\csh{xintMON},~\csh{xint\-MMON},~\csh{xintOdd}}
@@ -10549,41 +10380,41 @@ first place.
\def\xintFDg {\romannumeral0\xintfdg }%
\def\xintfdg #1%
{%
- \expandafter\XINT@fdg\romannumeral0\xintnum {#1}\W\Z
+ \expandafter\XINT_fdg\romannumeral0\xintnum {#1}\W\Z
}%
\def\xintLDg {\romannumeral0\xintldg }%
\def\xintldg #1%
{%
- \expandafter\XINT@ldg\expandafter{\romannumeral0\xintnum {#1}}%
+ \expandafter\XINT_ldg\expandafter{\romannumeral0\xintnum {#1}}%
}%
\def\xintMON {\romannumeral0\xintmon }%
\def\xintmon #1%
{%
\ifodd\xintLDg {#1}
- \xint@afterfi{ -1}%
+ \xint_afterfi{ -1}%
\else
- \xint@afterfi{ 1}%
+ \xint_afterfi{ 1}%
\fi
}%
\def\xintMMON {\romannumeral0\xintmmon }%
\def\xintmmon #1%
{%
\ifodd\xintLDg {#1}
- \xint@afterfi{ 1}%
+ \xint_afterfi{ 1}%
\else
- \xint@afterfi{ -1}%
+ \xint_afterfi{ -1}%
\fi
}%
\def\xintOdd {\romannumeral0\xintodd }%
\def\xintodd #1%
{%
\ifodd\xintLDg{#1}
- \xint@afterfi{ 1}%
+ \xint_afterfi{ 1}%
\else
- \xint@afterfi{ 0}%
+ \xint_afterfi{ 0}%
\fi
}%
-\XINT@frac@restorecatcodes@endinput%
+\XINT_frac_restorecatcodes_endinput%
% \end{macrocode}
%\catcode`\<=0 \catcode`\>=11 \catcode`\*=11 \catcode`\/=11
%\let</xintfrac>\relax
@@ -10689,8 +10520,8 @@ first place.
%
% Perhaps catcodes have changed after the loading of \xintname and
% \xintfracname and prior to the current loading of \xintseriesname,
-% so we can not employ the |\XINT@restorecatcodes@endinput| in this style
-% file. But there is no problem using |\XINT@setcatcodes|.
+% so we can not employ the |\XINT_restorecatcodes_endinput| in this style
+% file. But there is no problem using |\XINT_setcatcodes|.
%
% \begin{macrocode}
\begingroup\catcode61\catcode48\catcode32=10\relax%
@@ -10698,11 +10529,11 @@ first place.
\endlinechar=13 %
\catcode123=1 % {
\catcode125=2 % }
- \catcode64=11 % @
+ \catcode95=11 % _
\def\x
{%
\endgroup
- \edef\XINT@series@restorecatcodes@endinput
+ \edef\XINT_series_restorecatcodes_endinput
{%
\catcode93=\the\catcode93 % ]
\catcode91=\the\catcode91 % [
@@ -10719,7 +10550,7 @@ first place.
\catcode45=\the\catcode45 % -
\catcode44=\the\catcode44 % ,
\catcode35=\the\catcode35 % #
- \catcode64=\the\catcode64 % @
+ \catcode95=\the\catcode95 % _
\catcode125=\the\catcode125 % }
\catcode123=\the\catcode123 % {
\endlinechar=\the\endlinechar
@@ -10728,7 +10559,7 @@ first place.
\catcode61=\the\catcode61\relax % =
\noexpand\endinput
}%
- \XINT@setcatcodes
+ \XINT_setcatcodes
\catcode91=12 % [
\catcode93=12 % ]
}%
@@ -10737,6 +10568,7 @@ first place.
% \subsection{Package identification}
% \begin{macrocode}
\begingroup
+ \catcode64=11 % @
\catcode58=12 % :
\expandafter\ifx\csname ProvidesPackage\endcsname\relax
\def\x#1#2#3[#4]{\endgroup
@@ -10756,167 +10588,159 @@ first place.
\fi
\expandafter\x\csname ver@xintseries.sty\endcsname
\ProvidesPackage{xintseries}%
- [2013/05/09 v1.06a Expandable partial sums with xint package (jfB)]%
+ [2013/05/14 v1.06b Expandable partial sums with xint package (jfB)]%
% \end{macrocode}
% \subsection{\csh{xintSeries}}
-% \begin{verbatim}
+% \lverb|&
% Modified in 1.06 to give the indices first to a \numexpr rather than expanding
-% twice. I just use \the\numexpr and maintain the previous code after that.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% twice. I just use \the\numexpr and maintain the previous code after that.|
% \begin{macrocode}
\def\xintSeries {\romannumeral0\xintseries }%
\def\xintseries #1#2%
{%
- \expandafter\XINT@series@i\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_series_i\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@series@i #1#2%
+\def\XINT_series_i #1#2%
{%
- \expandafter\XINT@series@ii\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_series_ii\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@series@ii #1#2#3%
+\def\XINT_series_ii #1#2#3%
{%
\ifnum #2<#1
- \xint@afterfi { 0/1[0]}%
+ \xint_afterfi { 0/1[0]}%
\else
- \xint@afterfi {\XINT@series@loop {#1}{0}{#2}{#3}}%
+ \xint_afterfi {\XINT_series_loop {#1}{0}{#2}{#3}}%
\fi
}%
-\def\XINT@series@loop #1#2#3#4%
+\def\XINT_series_loop #1#2#3#4%
{%
- \ifnum #3>#1 \else \XINT@series@exit \fi
- \expandafter\XINT@series@loop\expandafter
+ \ifnum #3>#1 \else \XINT_series_exit \fi
+ \expandafter\XINT_series_loop\expandafter
{\the\numexpr #1+1\expandafter }\expandafter
{\romannumeral0\xintadd {#2}{#4{#1}}}%
{#3}{#4}%
}%
-\def\XINT@series@exit \fi #1#2#3#4#5#6#7#8%
+\def\XINT_series_exit \fi #1#2#3#4#5#6#7#8%
{%
- \fi\xint@gobble@ii #6%
+ \fi\xint_gobble_ii #6%
}%
% \end{macrocode}
% \subsection{\csh{xintiSeries}}
-% \begin{verbatim}
+% \lverb|&
% Modified in 1.06 to give the indices first to a \numexpr rather than expanding
-% twice. I just use \the\numexpr and maintain the previous code after that.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% twice. I just use \the\numexpr and maintain the previous code after that.|
% \begin{macrocode}
\def\xintiSeries {\romannumeral0\xintiseries }%
\def\xintiseries #1#2%
{%
- \expandafter\XINT@iseries@i\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_iseries_i\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@iseries@i #1#2%
+\def\XINT_iseries_i #1#2%
{%
- \expandafter\XINT@iseries@ii\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_iseries_ii\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@iseries@ii #1#2#3%
+\def\XINT_iseries_ii #1#2#3%
{%
\ifnum #2<#1
- \xint@afterfi { 0}%
+ \xint_afterfi { 0}%
\else
- \xint@afterfi {\XINT@iseries@loop {#1}{0}{#2}{#3}}%
+ \xint_afterfi {\XINT_iseries_loop {#1}{0}{#2}{#3}}%
\fi
}%
-\def\XINT@iseries@loop #1#2#3#4%
+\def\XINT_iseries_loop #1#2#3#4%
{%
- \ifnum #3>#1 \else \XINT@iseries@exit \fi
- \expandafter\XINT@iseries@loop\expandafter
+ \ifnum #3>#1 \else \XINT_iseries_exit \fi
+ \expandafter\XINT_iseries_loop\expandafter
{\the\numexpr #1+1\expandafter }\expandafter
{\romannumeral0\xintiadd {#2}{#4{#1}}}%
{#3}{#4}%
}%
-\def\XINT@iseries@exit \fi #1#2#3#4#5#6#7#8%
+\def\XINT_iseries_exit \fi #1#2#3#4#5#6#7#8%
{%
- \fi\xint@gobble@ii #6%
+ \fi\xint_gobble_ii #6%
}%
% \end{macrocode}
% \subsection{\csh{xintPowerSeries}}
-% \begin{verbatim}
+% \lverb|&
% The 1.03 version was very lame and created a build-up of denominators.
% The Horner scheme for polynomial evaluation is used in 1.04, this
% cures the denominator problem and drastically improves the efficiency
% of the macro.
% Modified in 1.06 to give the indices first to a \numexpr rather than expanding
-% twice. I just use \the\numexpr and maintain the previous code after that.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% twice. I just use \the\numexpr and maintain the previous code after that.|
% \begin{macrocode}
\def\xintPowerSeries {\romannumeral0\xintpowerseries }%
\def\xintpowerseries #1#2%
{%
- \expandafter\XINT@powseries@i\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_powseries_i\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@powseries@i #1#2%
+\def\XINT_powseries_i #1#2%
{%
- \expandafter\XINT@powseries@ii\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_powseries_ii\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@powseries@ii #1#2#3#4%
+\def\XINT_powseries_ii #1#2#3#4%
{%
\ifnum #2<#1
- \xint@afterfi { 0/1[0]}%
+ \xint_afterfi { 0/1[0]}%
\else
- \xint@afterfi
- {\XINT@powseries@loop@i {#3{#2}}{#1}{#2}{#3}{#4}}%
+ \xint_afterfi
+ {\XINT_powseries_loop_i {#3{#2}}{#1}{#2}{#3}{#4}}%
\fi
}%
-\def\XINT@powseries@loop@i #1#2#3#4#5%
+\def\XINT_powseries_loop_i #1#2#3#4#5%
{%
- \ifnum #3>#2 \else\XINT@powseries@exit@i\fi
- \expandafter\XINT@powseries@loop@ii\expandafter
+ \ifnum #3>#2 \else\XINT_powseries_exit_i\fi
+ \expandafter\XINT_powseries_loop_ii\expandafter
{\the\numexpr #3-1\expandafter}\expandafter
{\romannumeral0\xintmul {#1}{#5}}{#2}{#4}{#5}%
}%
-\def\XINT@powseries@loop@ii #1#2#3#4%
+\def\XINT_powseries_loop_ii #1#2#3#4%
{%
- \expandafter\XINT@powseries@loop@i\expandafter
+ \expandafter\XINT_powseries_loop_i\expandafter
{\romannumeral0\xintadd {#4{#1}}{#2}}{#3}{#1}{#4}%
}%
-\def\XINT@powseries@exit@i\fi #1#2#3#4#5#6#7#8#9%
+\def\XINT_powseries_exit_i\fi #1#2#3#4#5#6#7#8#9%
{%
- \fi \XINT@powseries@exit@ii #6{#7}%
+ \fi \XINT_powseries_exit_ii #6{#7}%
}%
-\def\XINT@powseries@exit@ii #1#2#3#4#5#6%
+\def\XINT_powseries_exit_ii #1#2#3#4#5#6%
{%
\xintmul{\xintPow {#5}{#6}}{#4}%
}%
% \end{macrocode}
% \subsection{\csh{xintPowerSeriesX}}
-% \begin{verbatim}
+% \lverb|&
% Same as \xintPowerSeries except for the initial expansion of the x parameter.
% Modified in 1.06 to give the indices first to a \numexpr rather than expanding
-% twice. I just use \the\numexpr and maintain the previous code after that.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% twice. I just use \the\numexpr and maintain the previous code after that.|
% \begin{macrocode}
\def\xintPowerSeriesX {\romannumeral0\xintpowerseriesx }%
\def\xintpowerseriesx #1#2%
{%
- \expandafter\XINT@powseriesx@i\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_powseriesx_i\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@powseriesx@i #1#2%
+\def\XINT_powseriesx_i #1#2%
{%
- \expandafter\XINT@powseriesx@ii\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_powseriesx_ii\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@powseriesx@ii #1#2#3#4%
+\def\XINT_powseriesx_ii #1#2#3#4%
{%
\ifnum #2<#1
- \xint@afterfi { 0/1[0]}%
+ \xint_afterfi { 0/1[0]}%
\else
- \xint@afterfi
- {\expandafter\XINT@powseriesx@pre\expandafter
+ \xint_afterfi
+ {\expandafter\XINT_powseriesx_pre\expandafter
{\romannumeral-`0#4}{#1}{#2}{#3}%
}%
\fi
}%
-\def\XINT@powseriesx@pre #1#2#3#4%
+\def\XINT_powseriesx_pre #1#2#3#4%
{%
- \XINT@powseries@loop@i {#4{#3}}{#2}{#3}{#4}{#1}%
+ \XINT_powseries_loop_i {#4{#3}}{#2}{#3}{#4}{#1}%
}%
% \end{macrocode}
% \subsection{\csh{xintRationalSeries}}
-% \begin{verbatim}
+% \lverb|&
% This computes F(a)+...+F(b) on the basis of the value of F(a) and the
% ratios F(n)/F(n-1). As in \xintPowerSeries we use an iterative scheme which
% has the great advantage to avoid denominator build-up. This makes exact
@@ -10924,183 +10748,175 @@ first place.
% inaccessible to \xintSeries.
% #1=a, #2=b, #3=F(a), #4=ratio function
% Modified in 1.06 to give the indices first to a \numexpr rather than expanding
-% twice. I just use \the\numexpr and maintain the previous code after that.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% twice. I just use \the\numexpr and maintain the previous code after that.|
% \begin{macrocode}
\def\xintRationalSeries {\romannumeral0\xintratseries }%
\def\xintratseries #1#2%
{%
- \expandafter\XINT@ratseries@i\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_ratseries_i\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@ratseries@i #1#2%
+\def\XINT_ratseries_i #1#2%
{%
- \expandafter\XINT@ratseries@ii\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_ratseries_ii\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@ratseries@ii #1#2#3#4%
+\def\XINT_ratseries_ii #1#2#3#4%
{%
\ifnum #2<#1
- \xint@afterfi { 0/1[0]}%
+ \xint_afterfi { 0/1[0]}%
\else
- \xint@afterfi
- {\XINT@ratseries@loop {#2}{1}{#1}{#4}{#3}}%
+ \xint_afterfi
+ {\XINT_ratseries_loop {#2}{1}{#1}{#4}{#3}}%
\fi
}%
-\def\XINT@ratseries@loop #1#2#3#4%
+\def\XINT_ratseries_loop #1#2#3#4%
{%
- \ifnum #1>#3 \else\XINT@ratseries@exit@i\fi
- \expandafter\XINT@ratseries@loop\expandafter
+ \ifnum #1>#3 \else\XINT_ratseries_exit_i\fi
+ \expandafter\XINT_ratseries_loop\expandafter
{\the\numexpr #1-1\expandafter}\expandafter
{\romannumeral0\xintadd {1}{\xintMul {#2}{#4{#1}}}}{#3}{#4}%
}%
-\def\XINT@ratseries@exit@i\fi #1#2#3#4#5#6#7#8%
+\def\XINT_ratseries_exit_i\fi #1#2#3#4#5#6#7#8%
{%
- \fi \XINT@ratseries@exit@ii #6%
+ \fi \XINT_ratseries_exit_ii #6%
}%
-\def\XINT@ratseries@exit@ii #1#2#3#4#5%
+\def\XINT_ratseries_exit_ii #1#2#3#4#5%
{%
- \XINT@ratseries@exit@iii #5%
+ \XINT_ratseries_exit_iii #5%
}%
-\def\XINT@ratseries@exit@iii #1#2#3#4%
+\def\XINT_ratseries_exit_iii #1#2#3#4%
{%
\xintmul{#2}{#4}%
}%
% \end{macrocode}
% \subsection{\csh{xintRationalSeriesX}}
-% \begin{verbatim}
-% a,b,initial,ratiofunction,x
+% \lverb|&
+% a,b,initial,ratiofunction,x$\
% This computes F(a,x)+...+F(b,x) on the basis of the value of F(a,x) and the
% ratios F(n,x)/F(n-1,x). The argument x is first expanded and it is the value
% resulting from this which is used then throughout. The initial term F(a,x)
% must be defined as one-parameter macro which will be given x.
% Modified in 1.06 to give the indices first to a \numexpr rather than expanding
-% twice. I just use \the\numexpr and maintain the previous code after that.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% twice. I just use \the\numexpr and maintain the previous code after that.|
% \begin{macrocode}
\def\xintRationalSeriesX {\romannumeral0\xintratseriesx }%
\def\xintratseriesx #1#2%
{%
- \expandafter\XINT@ratseriesx@i\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_ratseriesx_i\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@ratseriesx@i #1#2%
+\def\XINT_ratseriesx_i #1#2%
{%
- \expandafter\XINT@ratseriesx@ii\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_ratseriesx_ii\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@ratseriesx@ii #1#2#3#4#5%
+\def\XINT_ratseriesx_ii #1#2#3#4#5%
{%
\ifnum #2<#1
- \xint@afterfi { 0/1[0]}%
+ \xint_afterfi { 0/1[0]}%
\else
- \xint@afterfi
- {\expandafter\XINT@ratseriesx@pre\expandafter
+ \xint_afterfi
+ {\expandafter\XINT_ratseriesx_pre\expandafter
{\romannumeral-`0#5}{#2}{#1}{#4}{#3}%
}%
\fi
}%
-\def\XINT@ratseriesx@pre #1#2#3#4#5%
+\def\XINT_ratseriesx_pre #1#2#3#4#5%
{%
- \XINT@ratseries@loop {#2}{1}{#3}{#4{#1}}{#5{#1}}%
+ \XINT_ratseries_loop {#2}{1}{#3}{#4{#1}}{#5{#1}}%
}%
% \end{macrocode}
% \subsection{\csh{xintFxPtPowerSeries}}
-% \begin{verbatim}
+% \lverb|&
% I am not two happy with this piece of code. Will make it more economical
% another day.
% Modified in 1.06 to give the indices first to a \numexpr rather than expanding
-% twice. I just use \the\numexpr and maintain the previous code after that.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% twice. I just use \the\numexpr and maintain the previous code after that.|
% \begin{macrocode}
\def\xintFxPtPowerSeries {\romannumeral0\xintfxptpowerseries }%
\def\xintfxptpowerseries #1#2%
{%
- \expandafter\XINT@fppowseries@i\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_fppowseries_i\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@fppowseries@i #1#2%
+\def\XINT_fppowseries_i #1#2%
{%
- \expandafter\XINT@fppowseries@ii\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_fppowseries_ii\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@fppowseries@ii #1#2#3#4#5%
+\def\XINT_fppowseries_ii #1#2#3#4#5%
{%
\ifnum #2<#1
- \xint@afterfi { 0}%
+ \xint_afterfi { 0}%
\else
- \xint@afterfi
- {\expandafter\XINT@fppowseries@loop@pre\expandafter
+ \xint_afterfi
+ {\expandafter\XINT_fppowseries_loop_pre\expandafter
{\romannumeral0\xinttrunc {#5}{\xintPow {#4}{#1}}}%
{#1}{#4}{#2}{#3}{#5}%
}%
\fi
}%
-\def\XINT@fppowseries@loop@pre #1#2#3#4#5#6%
+\def\XINT_fppowseries_loop_pre #1#2#3#4#5#6%
{%
- \ifnum #4>#2 \else\XINT@fppowseries@dont@i \fi
- \expandafter\XINT@fppowseries@loop@i\expandafter
+ \ifnum #4>#2 \else\XINT_fppowseries_dont_i \fi
+ \expandafter\XINT_fppowseries_loop_i\expandafter
{\the\numexpr #2+1\expandafter}\expandafter
{\romannumeral0\xintitrunc {#6}{\xintMul {#5{#2}}{#1}}}%
{#1}{#3}{#4}{#5}{#6}%
}%
-\def\XINT@fppowseries@dont@i \fi\expandafter\XINT@fppowseries@loop@i
- {\fi \expandafter\XINT@fppowseries@dont@ii }%
-\def\XINT@fppowseries@dont@ii #1#2#3#4#5#6#7{\xinttrunc {#7}{#2[-#7]}}%
-\def\XINT@fppowseries@loop@i #1#2#3#4#5#6#7%
+\def\XINT_fppowseries_dont_i \fi\expandafter\XINT_fppowseries_loop_i
+ {\fi \expandafter\XINT_fppowseries_dont_ii }%
+\def\XINT_fppowseries_dont_ii #1#2#3#4#5#6#7{\xinttrunc {#7}{#2[-#7]}}%
+\def\XINT_fppowseries_loop_i #1#2#3#4#5#6#7%
{%
- \ifnum #5>#1 \else \XINT@fppowseries@exit@i \fi
- \expandafter\XINT@fppowseries@loop@ii\expandafter
+ \ifnum #5>#1 \else \XINT_fppowseries_exit_i \fi
+ \expandafter\XINT_fppowseries_loop_ii\expandafter
{\romannumeral0\xinttrunc {#7}{\xintMul {#3}{#4}}}%
{#1}{#4}{#2}{#5}{#6}{#7}%
}%
-\def\XINT@fppowseries@loop@ii #1#2#3#4#5#6#7%
+\def\XINT_fppowseries_loop_ii #1#2#3#4#5#6#7%
{%
- \expandafter\XINT@fppowseries@loop@i\expandafter
+ \expandafter\XINT_fppowseries_loop_i\expandafter
{\the\numexpr #2+1\expandafter}\expandafter
{\romannumeral0\xintiadd {#4}{\xintiTrunc {#7}{\xintMul {#6{#2}}{#1}}}}%
{#1}{#3}{#5}{#6}{#7}%
}%
-\def\XINT@fppowseries@exit@i\fi\expandafter\XINT@fppowseries@loop@ii
- {\fi \expandafter\XINT@fppowseries@exit@ii }%
-\def\XINT@fppowseries@exit@ii #1#2#3#4#5#6#7%
+\def\XINT_fppowseries_exit_i\fi\expandafter\XINT_fppowseries_loop_ii
+ {\fi \expandafter\XINT_fppowseries_exit_ii }%
+\def\XINT_fppowseries_exit_ii #1#2#3#4#5#6#7%
{%
\xinttrunc {#7}
{\xintiAdd {#4}{\xintiTrunc {#7}{\xintMul {#6{#2}}{#1}}}[-#7]}%
}%
% \end{macrocode}
% \subsection{\csh{xintFxPtPowerSeriesX}}
-% \begin{verbatim}
-% a,b,coeff,x,D
+% \lverb|&
+% a,b,coeff,x,D$\
% Modified in 1.06 to give the indices first to a \numexpr rather than expanding
-% twice. I just use \the\numexpr and maintain the previous code after that.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% twice. I just use \the\numexpr and maintain the previous code after that.|
% \begin{macrocode}
\def\xintFxPtPowerSeriesX {\romannumeral0\xintfxptpowerseriesx }%
\def\xintfxptpowerseriesx #1#2%
{%
- \expandafter\XINT@fppowseriesx@i\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_fppowseriesx_i\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@fppowseriesx@i #1#2%
+\def\XINT_fppowseriesx_i #1#2%
{%
- \expandafter\XINT@fppowseriesx@ii\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_fppowseriesx_ii\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@fppowseriesx@ii #1#2#3#4#5%
+\def\XINT_fppowseriesx_ii #1#2#3#4#5%
{%
\ifnum #2<#1
- \xint@afterfi { 0}%
+ \xint_afterfi { 0}%
\else
- \xint@afterfi
- {\expandafter \XINT@fppowseriesx@pre \expandafter
+ \xint_afterfi
+ {\expandafter \XINT_fppowseriesx_pre \expandafter
{\romannumeral-`0#4}{#1}{#2}{#3}{#5}%
}%
\fi
}%
-\def\XINT@fppowseriesx@pre #1#2#3#4#5%
+\def\XINT_fppowseriesx_pre #1#2#3#4#5%
{%
- \expandafter\XINT@fppowseries@loop@pre\expandafter
+ \expandafter\XINT_fppowseries_loop_pre\expandafter
{\romannumeral0\xinttrunc {#5}{\xintPow {#1}{#2}}}%
{#2}{#1}{#3}{#4}{#5}%
}%
-\XINT@series@restorecatcodes@endinput%
+\XINT_series_restorecatcodes_endinput%
% \end{macrocode}
%\catcode`\<=0 \catcode`\>=11 \catcode`\*=11 \catcode`\/=11
%\let</xintseries>\relax
@@ -11206,8 +11022,8 @@ first place.
%
% Perhaps catcodes have changed after the loading of \xintname and
% \xintfracname and prior to the current loading of \xintcfracname,
-% so we can not employ the |\XINT@restorecatcodes@endinput| in this style
-% file. But there is no problem using |\XINT@setcatcodes|.
+% so we can not employ the |\XINT_restorecatcodes_endinput| in this style
+% file. But there is no problem using |\XINT_setcatcodes|.
%
% \begin{macrocode}
\begingroup\catcode61\catcode48\catcode32=10\relax%
@@ -11215,11 +11031,11 @@ first place.
\endlinechar=13 %
\catcode123=1 % {
\catcode125=2 % }
- \catcode64=11 % @
+ \catcode95=11 % _
\def\x
{%
\endgroup
- \edef\XINT@cfrac@restorecatcodes@endinput
+ \edef\XINT_cfrac_restorecatcodes_endinput
{%
\catcode93=\the\catcode93 % ]
\catcode91=\the\catcode91 % [
@@ -11236,7 +11052,7 @@ first place.
\catcode45=\the\catcode45 % -
\catcode44=\the\catcode44 % ,
\catcode35=\the\catcode35 % #
- \catcode64=\the\catcode64 % @
+ \catcode95=\the\catcode95 % _
\catcode125=\the\catcode125 % }
\catcode123=\the\catcode123 % {
\endlinechar=\the\endlinechar
@@ -11245,7 +11061,7 @@ first place.
\catcode61=\the\catcode61\relax % =
\noexpand\endinput
}%
- \XINT@setcatcodes
+ \XINT_setcatcodes
\catcode91=12 % [
\catcode93=12 % ]
}%
@@ -11254,6 +11070,7 @@ first place.
% \subsection{Package identification}
% \begin{macrocode}
\begingroup
+ \catcode64=11 % @
\catcode58=12 % :
\expandafter\ifx\csname ProvidesPackage\endcsname\relax
\def\x#1#2#3[#4]{\endgroup
@@ -11273,240 +11090,241 @@ first place.
\fi
\expandafter\x\csname ver@xintcfrac.sty\endcsname
\ProvidesPackage{xintcfrac}%
- [2013/05/09 v1.06a Expandable continued fractions with xint package (jfB)]%
+ [2013/05/14 v1.06b Expandable continued fractions with xint package (jfB)]%
% \end{macrocode}
% \subsection{\csh{xintCFrac}}
% \begin{macrocode}
\def\xintCFrac {\romannumeral0\xintcfrac }%
\def\xintcfrac #1%
{%
- \XINT@cfrac@opt@a #1\Z
+ \XINT_cfrac_opt_a #1\Z
}%
-\def\XINT@cfrac@opt@a #1%
+\def\XINT_cfrac_opt_a #1%
{%
- \ifx#1[\XINT@cfrac@opt@b\fi \XINT@cfrac@noopt #1%
+ \ifx#1[\XINT_cfrac_opt_b\fi \XINT_cfrac_noopt #1%
}%
-\def\XINT@cfrac@noopt #1\Z
+\def\XINT_cfrac_noopt #1\Z
{%
- \expandafter\XINT@cfrac@A\romannumeral0\xintraw {#1}\Z
+ \expandafter\XINT_cfrac_A\romannumeral0\xintraw {#1}\Z
\relax\relax
}%
-\def\XINT@cfrac@opt@b\fi\XINT@cfrac@noopt [\Z #1]%
+\def\XINT_cfrac_opt_b\fi\XINT_cfrac_noopt [\Z #1]%
{%
- \fi\csname XINT@cfrac@opt#1\endcsname
+ \fi\csname XINT_cfrac_opt#1\endcsname
}%
-\def\XINT@cfrac@optl #1%
+\def\XINT_cfrac_optl #1%
{%
- \expandafter\XINT@cfrac@A\romannumeral0\xintraw {#1}\Z
+ \expandafter\XINT_cfrac_A\romannumeral0\xintraw {#1}\Z
\relax\hfill
}%
-\def\XINT@cfrac@optc #1%
+\def\XINT_cfrac_optc #1%
{%
- \expandafter\XINT@cfrac@A\romannumeral0\xintraw {#1}\Z
+ \expandafter\XINT_cfrac_A\romannumeral0\xintraw {#1}\Z
\relax\relax
}%
-\def\XINT@cfrac@optr #1%
+\def\XINT_cfrac_optr #1%
{%
- \expandafter\XINT@cfrac@A\romannumeral0\xintraw {#1}\Z
+ \expandafter\XINT_cfrac_A\romannumeral0\xintraw {#1}\Z
\hfill\relax
}%
-\def\XINT@cfrac@A #1/#2\Z
+\def\XINT_cfrac_A #1/#2\Z
{%
- \expandafter\XINT@cfrac@B\romannumeral0\xintidivision {#1}{#2}{#2}%
+ \expandafter\XINT_cfrac_B\romannumeral0\xintidivision {#1}{#2}{#2}%
}%
-\def\XINT@cfrac@B #1#2%
+\def\XINT_cfrac_B #1#2%
{%
- \XINT@cfrac@C #2\Z {#1}%
+ \XINT_cfrac_C #2\Z {#1}%
}%
-\def\XINT@cfrac@C #1%
+\def\XINT_cfrac_C #1%
{%
- \xint@zero #1\XINT@cfrac@integer 0\XINT@cfrac@D #1%
+ \xint_gob_til_zero #1\XINT_cfrac_integer 0\XINT_cfrac_D #1%
}%
-\def\XINT@cfrac@integer 0\XINT@cfrac@D 0#1\Z #2#3#4#5{ #2}%
-\def\XINT@cfrac@D #1\Z #2#3{\XINT@cfrac@loop@a {#1}{#3}{#1}{{#2}}}%
-\def\XINT@cfrac@loop@a
+\def\XINT_cfrac_integer 0\XINT_cfrac_D 0#1\Z #2#3#4#5{ #2}%
+\def\XINT_cfrac_D #1\Z #2#3{\XINT_cfrac_loop_a {#1}{#3}{#1}{{#2}}}%
+\def\XINT_cfrac_loop_a
{%
- \expandafter\XINT@cfrac@loop@d\romannumeral0\XINT@div@prepare
+ \expandafter\XINT_cfrac_loop_d\romannumeral0\XINT_div_prepare
}%
-\def\XINT@cfrac@loop@d #1#2%
+\def\XINT_cfrac_loop_d #1#2%
{%
- \XINT@cfrac@loop@e #2.{#1}%
+ \XINT_cfrac_loop_e #2.{#1}%
}%
-\def\XINT@cfrac@loop@e #1%
+\def\XINT_cfrac_loop_e #1%
{%
- \xint@zero #1\xint@cfrac@loop@exit0\XINT@cfrac@loop@f #1%
+ \xint_gob_til_zero #1\xint_cfrac_loop_exit0\XINT_cfrac_loop_f #1%
}%
-\def\XINT@cfrac@loop@f #1.#2#3#4%
+\def\XINT_cfrac_loop_f #1.#2#3#4%
{%
- \XINT@cfrac@loop@a {#1}{#3}{#1}{{#2}#4}%
+ \XINT_cfrac_loop_a {#1}{#3}{#1}{{#2}#4}%
}%
-\def\xint@cfrac@loop@exit0\XINT@cfrac@loop@f #1.#2#3#4#5#6%
- {\XINT@cfrac@T #5#6{#2}#4\Z }%
-\def\XINT@cfrac@T #1#2#3#4%
+\def\xint_cfrac_loop_exit0\XINT_cfrac_loop_f #1.#2#3#4#5#6%
+ {\XINT_cfrac_T #5#6{#2}#4\Z }%
+\def\XINT_cfrac_T #1#2#3#4%
{%
- \xint@z #4\XINT@cfrac@end\Z\XINT@cfrac@T #1#2{#4+\cfrac{#11#2}{#3}}%
+ \xint_gob_til_z #4\XINT_cfrac_end\Z\XINT_cfrac_T #1#2{#4+\cfrac{#11#2}{#3}}%
}%
-\def\XINT@cfrac@end\Z\XINT@cfrac@T #1#2#3%
+\def\XINT_cfrac_end\Z\XINT_cfrac_T #1#2#3%
{%
- \XINT@cfrac@@end #3%
+ \XINT_cfrac__end #3%
}%
-\def\XINT@cfrac@@end \Z+\cfrac#1#2{ #2}%
+\def\XINT_cfrac__end \Z+\cfrac#1#2{ #2}%
% \end{macrocode}
% \subsection{\csh{xintGCFrac}}
% \begin{macrocode}
\def\xintGCFrac {\romannumeral0\xintgcfrac }%
\def\xintgcfrac #1%
{%
- \XINT@gcfrac@opt@a #1\Z
+ \XINT_gcfrac_opt_a #1\Z
}%
-\def\XINT@gcfrac@opt@a #1%
+\def\XINT_gcfrac_opt_a #1%
{%
- \ifx#1[\XINT@gcfrac@opt@b\fi \XINT@gcfrac@noopt #1%
+ \ifx#1[\XINT_gcfrac_opt_b\fi \XINT_gcfrac_noopt #1%
}%
-\def\XINT@gcfrac@noopt #1\Z
+\def\XINT_gcfrac_noopt #1\Z
{%
- \XINT@gcfrac #1+\W/\relax\relax
+ \XINT_gcfrac #1+\W/\relax\relax
}%
-\def\XINT@gcfrac@opt@b\fi\XINT@gcfrac@noopt [\Z #1]%
+\def\XINT_gcfrac_opt_b\fi\XINT_gcfrac_noopt [\Z #1]%
{%
- \fi\csname XINT@gcfrac@opt#1\endcsname
+ \fi\csname XINT_gcfrac_opt#1\endcsname
}%
-\def\XINT@gcfrac@optl #1%
+\def\XINT_gcfrac_optl #1%
{%
- \XINT@gcfrac #1+\W/\relax\hfill
+ \XINT_gcfrac #1+\W/\relax\hfill
}%
-\def\XINT@gcfrac@optc #1%
+\def\XINT_gcfrac_optc #1%
{%
- \XINT@gcfrac #1+\W/\relax\relax
+ \XINT_gcfrac #1+\W/\relax\relax
}%
-\def\XINT@gcfrac@optr #1%
+\def\XINT_gcfrac_optr #1%
{%
- \XINT@gcfrac #1+\W/\hfill\relax
+ \XINT_gcfrac #1+\W/\hfill\relax
}%
-\def\XINT@gcfrac
+\def\XINT_gcfrac
{%
- \expandafter\XINT@gcfrac@enter\romannumeral-`0%
+ \expandafter\XINT_gcfrac_enter\romannumeral-`0%
}%
-\def\XINT@gcfrac@enter {\XINT@gcfrac@loop {}}%
-\def\XINT@gcfrac@loop #1#2+#3/%
+\def\XINT_gcfrac_enter {\XINT_gcfrac_loop {}}%
+\def\XINT_gcfrac_loop #1#2+#3/%
{%
- \xint@w #3\XINT@gcfrac@endloop\W\XINT@gcfrac@loop {{#3}{#2}#1}%
+ \xint_gob_til_w #3\XINT_gcfrac_endloop\W
+ \XINT_gcfrac_loop {{#3}{#2}#1}%
}%
-\def\XINT@gcfrac@endloop\W\XINT@gcfrac@loop #1#2#3%
+\def\XINT_gcfrac_endloop\W\XINT_gcfrac_loop #1#2#3%
{%
- \XINT@gcfrac@T #2#3#1\Z\Z
+ \XINT_gcfrac_T #2#3#1\Z\Z
}%
-\def\XINT@gcfrac@T #1#2#3#4{\XINT@gcfrac@U #1#2{\xintFrac{#4}}}%
-\def\XINT@gcfrac@U #1#2#3#4#5%
+\def\XINT_gcfrac_T #1#2#3#4{\XINT_gcfrac_U #1#2{\xintFrac{#4}}}%
+\def\XINT_gcfrac_U #1#2#3#4#5%
{%
- \xint@z #5\XINT@gcfrac@end\Z\XINT@gcfrac@U
+ \xint_gob_til_z #5\XINT_gcfrac_end\Z\XINT_gcfrac_U
#1#2{\xintFrac{#5}%
\ifcase\xintSgn{#4}
+\or+\else-\fi
\cfrac{#1\xintFrac{\xintAbs{#4}}#2}{#3}}%
}%
-\def\XINT@gcfrac@end\Z\XINT@gcfrac@U #1#2#3%
+\def\XINT_gcfrac_end\Z\XINT_gcfrac_U #1#2#3%
{%
- \XINT@gcfrac@@end #3%
+ \XINT_gcfrac__end #3%
}%
-\def\XINT@gcfrac@@end #1\cfrac#2#3{ #3}%
+\def\XINT_gcfrac__end #1\cfrac#2#3{ #3}%
% \end{macrocode}
% \subsection{\csh{xintGCtoGCx}}
% \begin{macrocode}
\def\xintGCtoGCx {\romannumeral0\xintgctogcx }%
\def\xintgctogcx #1#2#3%
{%
- \expandafter\XINT@gctgcx@start\expandafter {\romannumeral-`0#3}{#1}{#2}%
+ \expandafter\XINT_gctgcx_start\expandafter {\romannumeral-`0#3}{#1}{#2}%
}%
-\def\XINT@gctgcx@start #1#2#3{\XINT@gctgcx@loop@a {}{#2}{#3}#1+\W/}%
-\def\XINT@gctgcx@loop@a #1#2#3#4+#5/%
+\def\XINT_gctgcx_start #1#2#3{\XINT_gctgcx_loop_a {}{#2}{#3}#1+\W/}%
+\def\XINT_gctgcx_loop_a #1#2#3#4+#5/%
{%
- \xint@w #5\XINT@gctgcx@end\W
- \XINT@gctgcx@loop@b {#1{#4}}{#2{#5}#3}{#2}{#3}%
+ \xint_gob_til_w #5\XINT_gctgcx_end\W
+ \XINT_gctgcx_loop_b {#1{#4}}{#2{#5}#3}{#2}{#3}%
}%
-\def\XINT@gctgcx@loop@b #1#2%
+\def\XINT_gctgcx_loop_b #1#2%
{%
- \XINT@gctgcx@loop@a {#1#2}%
+ \XINT_gctgcx_loop_a {#1#2}%
}%
-\def\XINT@gctgcx@end\W\XINT@gctgcx@loop@b #1#2#3#4{ #1}%
+\def\XINT_gctgcx_end\W\XINT_gctgcx_loop_b #1#2#3#4{ #1}%
% \end{macrocode}
% \subsection{\csh{xintFtoCs}}
% \begin{macrocode}
\def\xintFtoCs {\romannumeral0\xintftocs }%
\def\xintftocs #1%
{%
- \expandafter\XINT@ftc@A\romannumeral0\xintraw {#1}\Z
+ \expandafter\XINT_ftc_A\romannumeral0\xintraw {#1}\Z
}%
-\def\XINT@ftc@A #1/#2\Z
+\def\XINT_ftc_A #1/#2\Z
{%
- \expandafter\XINT@ftc@B\romannumeral0\xintidivision {#1}{#2}{#2}%
+ \expandafter\XINT_ftc_B\romannumeral0\xintidivision {#1}{#2}{#2}%
}%
-\def\XINT@ftc@B #1#2%
+\def\XINT_ftc_B #1#2%
{%
- \XINT@ftc@C #2.{#1}%
+ \XINT_ftc_C #2.{#1}%
}%
-\def\XINT@ftc@C #1%
+\def\XINT_ftc_C #1%
{%
- \xint@zero #1\XINT@ftc@integer 0\XINT@ftc@D #1%
+ \xint_gob_til_zero #1\XINT_ftc_integer 0\XINT_ftc_D #1%
}%
-\def\XINT@ftc@integer 0\XINT@ftc@D 0#1.#2#3{ #2}%
-\def\XINT@ftc@D #1.#2#3{\XINT@ftc@loop@a {#1}{#3}{#1}{#2,}}%
-\def\XINT@ftc@loop@a
+\def\XINT_ftc_integer 0\XINT_ftc_D 0#1.#2#3{ #2}%
+\def\XINT_ftc_D #1.#2#3{\XINT_ftc_loop_a {#1}{#3}{#1}{#2,}}%
+\def\XINT_ftc_loop_a
{%
- \expandafter\XINT@ftc@loop@d\romannumeral0\XINT@div@prepare
+ \expandafter\XINT_ftc_loop_d\romannumeral0\XINT_div_prepare
}%
-\def\XINT@ftc@loop@d #1#2%
+\def\XINT_ftc_loop_d #1#2%
{%
- \XINT@ftc@loop@e #2.{#1}%
+ \XINT_ftc_loop_e #2.{#1}%
}%
-\def\XINT@ftc@loop@e #1%
+\def\XINT_ftc_loop_e #1%
{%
- \xint@zero #1\xint@ftc@loop@exit0\XINT@ftc@loop@f #1%
+ \xint_gob_til_zero #1\xint_ftc_loop_exit0\XINT_ftc_loop_f #1%
}%
-\def\XINT@ftc@loop@f #1.#2#3#4%
+\def\XINT_ftc_loop_f #1.#2#3#4%
{%
- \XINT@ftc@loop@a {#1}{#3}{#1}{#4#2,}%
+ \XINT_ftc_loop_a {#1}{#3}{#1}{#4#2,}%
}%
-\def\xint@ftc@loop@exit0\XINT@ftc@loop@f #1.#2#3#4{ #4#2}%
+\def\xint_ftc_loop_exit0\XINT_ftc_loop_f #1.#2#3#4{ #4#2}%
% \end{macrocode}
% \subsection{\csh{xintFtoCx}}
% \begin{macrocode}
\def\xintFtoCx {\romannumeral0\xintftocx }%
\def\xintftocx #1#2%
{%
- \expandafter\XINT@ftcx@A\romannumeral0\xintraw {#2}\Z {#1}%
+ \expandafter\XINT_ftcx_A\romannumeral0\xintraw {#2}\Z {#1}%
}%
-\def\XINT@ftcx@A #1/#2\Z
+\def\XINT_ftcx_A #1/#2\Z
{%
- \expandafter\XINT@ftcx@B\romannumeral0\xintidivision {#1}{#2}{#2}%
+ \expandafter\XINT_ftcx_B\romannumeral0\xintidivision {#1}{#2}{#2}%
}%
-\def\XINT@ftcx@B #1#2%
+\def\XINT_ftcx_B #1#2%
{%
- \XINT@ftcx@C #2.{#1}%
+ \XINT_ftcx_C #2.{#1}%
}%
-\def\XINT@ftcx@C #1%
+\def\XINT_ftcx_C #1%
{%
- \xint@zero #1\XINT@ftcx@integer 0\XINT@ftcx@D #1%
+ \xint_gob_til_zero #1\XINT_ftcx_integer 0\XINT_ftcx_D #1%
}%
-\def\XINT@ftcx@integer 0\XINT@ftcx@D 0#1.#2#3#4{ #2}%
-\def\XINT@ftcx@D #1.#2#3#4{\XINT@ftcx@loop@a {#1}{#3}{#1}{#2#4}{#4}}%
-\def\XINT@ftcx@loop@a
+\def\XINT_ftcx_integer 0\XINT_ftcx_D 0#1.#2#3#4{ #2}%
+\def\XINT_ftcx_D #1.#2#3#4{\XINT_ftcx_loop_a {#1}{#3}{#1}{#2#4}{#4}}%
+\def\XINT_ftcx_loop_a
{%
- \expandafter\XINT@ftcx@loop@d\romannumeral0\XINT@div@prepare
+ \expandafter\XINT_ftcx_loop_d\romannumeral0\XINT_div_prepare
}%
-\def\XINT@ftcx@loop@d #1#2%
+\def\XINT_ftcx_loop_d #1#2%
{%
- \XINT@ftcx@loop@e #2.{#1}%
+ \XINT_ftcx_loop_e #2.{#1}%
}%
-\def\XINT@ftcx@loop@e #1%
+\def\XINT_ftcx_loop_e #1%
{%
- \xint@zero #1\xint@ftcx@loop@exit0\XINT@ftcx@loop@f #1%
+ \xint_gob_til_zero #1\xint_ftcx_loop_exit0\XINT_ftcx_loop_f #1%
}%
-\def\XINT@ftcx@loop@f #1.#2#3#4#5%
+\def\XINT_ftcx_loop_f #1.#2#3#4#5%
{%
- \XINT@ftcx@loop@a {#1}{#3}{#1}{#4{#2}#5}{#5}%
+ \XINT_ftcx_loop_a {#1}{#3}{#1}{#4{#2}#5}{#5}%
}%
-\def\xint@ftcx@loop@exit0\XINT@ftcx@loop@f #1.#2#3#4#5{ #4{#2}}%
+\def\xint_ftcx_loop_exit0\XINT_ftcx_loop_f #1.#2#3#4#5{ #4{#2}}%
% \end{macrocode}
% \subsection{\csh{xintFtoGC}}
% \begin{macrocode}
@@ -11518,72 +11336,72 @@ first place.
\def\xintFtoCC {\romannumeral0\xintftocc }%
\def\xintftocc #1%
{%
- \expandafter\XINT@ftcc@A\expandafter {\romannumeral0\xintraw {#1}}%
+ \expandafter\XINT_ftcc_A\expandafter {\romannumeral0\xintraw {#1}}%
}%
-\def\XINT@ftcc@A #1%
+\def\XINT_ftcc_A #1%
{%
- \expandafter\XINT@ftcc@B
+ \expandafter\XINT_ftcc_B
\romannumeral0\xintraw {\xintAdd {1/2[0]}{#1[0]}}\Z {#1[0]}%
}%
-\def\XINT@ftcc@B #1/#2\Z
+\def\XINT_ftcc_B #1/#2\Z
{%
- \expandafter\XINT@ftcc@C\expandafter {\romannumeral0\xintiquo {#1}{#2}}%
+ \expandafter\XINT_ftcc_C\expandafter {\romannumeral0\xintiquo {#1}{#2}}%
}%
-\def\XINT@ftcc@C #1#2%
+\def\XINT_ftcc_C #1#2%
{%
- \expandafter\XINT@ftcc@D\romannumeral0\xintsub {#2}{#1}\Z {#1}%
+ \expandafter\XINT_ftcc_D\romannumeral0\xintsub {#2}{#1}\Z {#1}%
}%
-\def\XINT@ftcc@D #1%
+\def\XINT_ftcc_D #1%
{%
- \xint@UDzerominusfork
- #1-\dummy \XINT@ftcc@integer
- 0#1\dummy \XINT@ftcc@En
- 0-\dummy {\XINT@ftcc@Ep #1}%
- \xint@UDkrof
+ \xint_UDzerominusfork
+ #1-\dummy \XINT_ftcc_integer
+ 0#1\dummy \XINT_ftcc_En
+ 0-\dummy {\XINT_ftcc_Ep #1}%
+ \krof
}%
-\def\XINT@ftcc@Ep #1\Z #2%
+\def\XINT_ftcc_Ep #1\Z #2%
{%
- \expandafter\XINT@ftcc@loop@a\expandafter
+ \expandafter\XINT_ftcc_loop_a\expandafter
{\romannumeral0\xintdiv {1[0]}{#1}}{#2+1/}%
}%
-\def\XINT@ftcc@En #1\Z #2%
+\def\XINT_ftcc_En #1\Z #2%
{%
- \expandafter\XINT@ftcc@loop@a\expandafter
+ \expandafter\XINT_ftcc_loop_a\expandafter
{\romannumeral0\xintdiv {1[0]}{#1}}{#2+-1/}%
}%
-\def\XINT@ftcc@integer #1\Z #2{ #2}%
-\def\XINT@ftcc@loop@a #1%
+\def\XINT_ftcc_integer #1\Z #2{ #2}%
+\def\XINT_ftcc_loop_a #1%
{%
- \expandafter\XINT@ftcc@loop@b
+ \expandafter\XINT_ftcc_loop_b
\romannumeral0\xintraw {\xintAdd {1/2[0]}{#1}}\Z {#1}%
}%
-\def\XINT@ftcc@loop@b #1/#2\Z
+\def\XINT_ftcc_loop_b #1/#2\Z
{%
- \expandafter\XINT@ftcc@loop@c\expandafter
+ \expandafter\XINT_ftcc_loop_c\expandafter
{\romannumeral0\xintiquo {#1}{#2}}%
}%
-\def\XINT@ftcc@loop@c #1#2%
+\def\XINT_ftcc_loop_c #1#2%
{%
- \expandafter\XINT@ftcc@loop@d
+ \expandafter\XINT_ftcc_loop_d
\romannumeral0\xintsub {#2}{#1[0]}\Z {#1}%
}%
-\def\XINT@ftcc@loop@d #1%
+\def\XINT_ftcc_loop_d #1%
{%
- \xint@UDzerominusfork
- #1-\dummy \XINT@ftcc@end
- 0#1\dummy \XINT@ftcc@loop@N
- 0-\dummy {\XINT@ftcc@loop@P #1}%
- \xint@UDkrof
+ \xint_UDzerominusfork
+ #1-\dummy \XINT_ftcc_end
+ 0#1\dummy \XINT_ftcc_loop_N
+ 0-\dummy {\XINT_ftcc_loop_P #1}%
+ \krof
}%
-\def\XINT@ftcc@end #1\Z #2#3{ #3#2}%
-\def\XINT@ftcc@loop@P #1\Z #2#3%
+\def\XINT_ftcc_end #1\Z #2#3{ #3#2}%
+\def\XINT_ftcc_loop_P #1\Z #2#3%
{%
- \expandafter\XINT@ftcc@loop@a\expandafter
+ \expandafter\XINT_ftcc_loop_a\expandafter
{\romannumeral0\xintdiv {1[0]}{#1}}{#3#2+1/}%
}%
-\def\XINT@ftcc@loop@N #1\Z #2#3%
+\def\XINT_ftcc_loop_N #1\Z #2#3%
{%
- \expandafter\XINT@ftcc@loop@a\expandafter
+ \expandafter\XINT_ftcc_loop_a\expandafter
{\romannumeral0\xintdiv {1[0]}{#1}}{#3#2+-1/}%
}%
% \end{macrocode}
@@ -11608,633 +11426,628 @@ first place.
\def\xintCstoF {\romannumeral0\xintcstof }%
\def\xintcstof #1%
{%
- \expandafter\XINT@cstf@prep \romannumeral-`0#1,\W,%
+ \expandafter\XINT_cstf_prep \romannumeral-`0#1,\W,%
}%
-\def\XINT@cstf@prep
+\def\XINT_cstf_prep
{%
- \XINT@cstf@loop@a 1001%
+ \XINT_cstf_loop_a 1001%
}%
-\def\XINT@cstf@loop@a #1#2#3#4#5,%
+\def\XINT_cstf_loop_a #1#2#3#4#5,%
{%
- \xint@w #5\XINT@cstf@end\W\expandafter\XINT@cstf@loop@b
+ \xint_gob_til_w #5\XINT_cstf_end\W
+ \expandafter\XINT_cstf_loop_b
\romannumeral0\xintraw {#5}.{#1}{#2}{#3}{#4}%
}%
-\def\XINT@cstf@loop@b #1/#2.#3#4#5#6%
+\def\XINT_cstf_loop_b #1/#2.#3#4#5#6%
{%
- \expandafter\XINT@cstf@loop@c\expandafter
- {\romannumeral0\XINT@mul@fork #2\Z #4\Z }%
- {\romannumeral0\XINT@mul@fork #2\Z #3\Z }%
- {\romannumeral0\xintiadd {\XINT@Mul {#2}{#6}}{\XINT@Mul {#1}{#4}}}%
- {\romannumeral0\xintiadd {\XINT@Mul {#2}{#5}}{\XINT@Mul {#1}{#3}}}%
+ \expandafter\XINT_cstf_loop_c\expandafter
+ {\romannumeral0\XINT_mul_fork #2\Z #4\Z }%
+ {\romannumeral0\XINT_mul_fork #2\Z #3\Z }%
+ {\romannumeral0\xintiadd {\XINT_Mul {#2}{#6}}{\XINT_Mul {#1}{#4}}}%
+ {\romannumeral0\xintiadd {\XINT_Mul {#2}{#5}}{\XINT_Mul {#1}{#3}}}%
}%
-\def\XINT@cstf@loop@c #1#2%
+\def\XINT_cstf_loop_c #1#2%
{%
- \expandafter\XINT@cstf@loop@d\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_cstf_loop_d\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@cstf@loop@d #1#2%
+\def\XINT_cstf_loop_d #1#2%
{%
- \expandafter\XINT@cstf@loop@e\expandafter {\expandafter{#2}#1}%
+ \expandafter\XINT_cstf_loop_e\expandafter {\expandafter{#2}#1}%
}%
-\def\XINT@cstf@loop@e #1#2%
+\def\XINT_cstf_loop_e #1#2%
{%
- \expandafter\XINT@cstf@loop@a\expandafter{#2}#1%
+ \expandafter\XINT_cstf_loop_a\expandafter{#2}#1%
}%
-\def\XINT@cstf@end #1.#2#3#4#5{\xintraw {#2/#3}[0]}%
+\def\XINT_cstf_end #1.#2#3#4#5{\xintraw {#2/#3}[0]}%
% \end{macrocode}
% \subsection{\csh{xintiCstoF}}
% \begin{macrocode}
\def\xintiCstoF {\romannumeral0\xinticstof }%
\def\xinticstof #1%
{%
- \expandafter\XINT@icstf@prep \romannumeral-`0#1,\W,%
+ \expandafter\XINT_icstf_prep \romannumeral-`0#1,\W,%
}%
-\def\XINT@icstf@prep
+\def\XINT_icstf_prep
{%
- \XINT@icstf@loop@a 1001%
+ \XINT_icstf_loop_a 1001%
}%
-\def\XINT@icstf@loop@a #1#2#3#4#5,%
+\def\XINT_icstf_loop_a #1#2#3#4#5,%
{%
- \xint@w #5\XINT@icstf@end\W
+ \xint_gob_til_w #5\XINT_icstf_end\W
\expandafter
- \XINT@icstf@loop@b \romannumeral-`0#5.{#1}{#2}{#3}{#4}%
+ \XINT_icstf_loop_b \romannumeral-`0#5.{#1}{#2}{#3}{#4}%
}%
-\def\XINT@icstf@loop@b #1.#2#3#4#5%
+\def\XINT_icstf_loop_b #1.#2#3#4#5%
{%
- \expandafter\XINT@icstf@loop@c\expandafter
- {\romannumeral0\xintiadd {#5}{\XINT@Mul {#1}{#3}}}%
- {\romannumeral0\xintiadd {#4}{\XINT@Mul {#1}{#2}}}%
+ \expandafter\XINT_icstf_loop_c\expandafter
+ {\romannumeral0\xintiadd {#5}{\XINT_Mul {#1}{#3}}}%
+ {\romannumeral0\xintiadd {#4}{\XINT_Mul {#1}{#2}}}%
{#2}{#3}%
}%
-\def\XINT@icstf@loop@c #1#2%
+\def\XINT_icstf_loop_c #1#2%
{%
- \expandafter\XINT@icstf@loop@a\expandafter {#2}{#1}%
+ \expandafter\XINT_icstf_loop_a\expandafter {#2}{#1}%
}%
-\def\XINT@icstf@end#1.#2#3#4#5{\xintraw {#2/#3}[0]}%
+\def\XINT_icstf_end#1.#2#3#4#5{\xintraw {#2/#3}[0]}%
% \end{macrocode}
% \subsection{\csh{xintGCtoF}}
% \begin{macrocode}
\def\xintGCtoF {\romannumeral0\xintgctof }%
\def\xintgctof #1%
{%
- \expandafter\XINT@gctf@prep \romannumeral-`0#1+\W/%
+ \expandafter\XINT_gctf_prep \romannumeral-`0#1+\W/%
}%
-\def\XINT@gctf@prep
+\def\XINT_gctf_prep
{%
- \XINT@gctf@loop@a 1001%
+ \XINT_gctf_loop_a 1001%
}%
-\def\XINT@gctf@loop@a #1#2#3#4#5+%
+\def\XINT_gctf_loop_a #1#2#3#4#5+%
{%
- \expandafter\XINT@gctf@loop@b
+ \expandafter\XINT_gctf_loop_b
\romannumeral0\xintraw {#5}.{#1}{#2}{#3}{#4}%
}%
-\def\XINT@gctf@loop@b #1/#2.#3#4#5#6%
+\def\XINT_gctf_loop_b #1/#2.#3#4#5#6%
{%
- \expandafter\XINT@gctf@loop@c\expandafter
- {\romannumeral0\XINT@mul@fork #2\Z #4\Z }%
- {\romannumeral0\XINT@mul@fork #2\Z #3\Z }%
- {\romannumeral0\xintiadd {\XINT@Mul {#2}{#6}}{\XINT@Mul {#1}{#4}}}%
- {\romannumeral0\xintiadd {\XINT@Mul {#2}{#5}}{\XINT@Mul {#1}{#3}}}%
+ \expandafter\XINT_gctf_loop_c\expandafter
+ {\romannumeral0\XINT_mul_fork #2\Z #4\Z }%
+ {\romannumeral0\XINT_mul_fork #2\Z #3\Z }%
+ {\romannumeral0\xintiadd {\XINT_Mul {#2}{#6}}{\XINT_Mul {#1}{#4}}}%
+ {\romannumeral0\xintiadd {\XINT_Mul {#2}{#5}}{\XINT_Mul {#1}{#3}}}%
}%
-\def\XINT@gctf@loop@c #1#2%
+\def\XINT_gctf_loop_c #1#2%
{%
- \expandafter\XINT@gctf@loop@d\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_gctf_loop_d\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@gctf@loop@d #1#2%
+\def\XINT_gctf_loop_d #1#2%
{%
- \expandafter\XINT@gctf@loop@e\expandafter {\expandafter{#2}#1}%
+ \expandafter\XINT_gctf_loop_e\expandafter {\expandafter{#2}#1}%
}%
-\def\XINT@gctf@loop@e #1#2%
+\def\XINT_gctf_loop_e #1#2%
{%
- \expandafter\XINT@gctf@loop@f\expandafter {\expandafter{#2}#1}%
+ \expandafter\XINT_gctf_loop_f\expandafter {\expandafter{#2}#1}%
}%
-\def\XINT@gctf@loop@f #1#2/%
+\def\XINT_gctf_loop_f #1#2/%
{%
- \xint@w #2\XINT@gctf@end\W\expandafter\XINT@gctf@loop@g
+ \xint_gob_til_w #2\XINT_gctf_end\W
+ \expandafter\XINT_gctf_loop_g
\romannumeral0\xintraw {#2}.#1%
}%
-\def\XINT@gctf@loop@g #1/#2.#3#4#5#6%
+\def\XINT_gctf_loop_g #1/#2.#3#4#5#6%
{%
- \expandafter\XINT@gctf@loop@h\expandafter
- {\romannumeral0\XINT@mul@fork #1\Z #6\Z }%
- {\romannumeral0\XINT@mul@fork #1\Z #5\Z }%
- {\romannumeral0\XINT@mul@fork #2\Z #4\Z }%
- {\romannumeral0\XINT@mul@fork #2\Z #3\Z }%
+ \expandafter\XINT_gctf_loop_h\expandafter
+ {\romannumeral0\XINT_mul_fork #1\Z #6\Z }%
+ {\romannumeral0\XINT_mul_fork #1\Z #5\Z }%
+ {\romannumeral0\XINT_mul_fork #2\Z #4\Z }%
+ {\romannumeral0\XINT_mul_fork #2\Z #3\Z }%
}%
-\def\XINT@gctf@loop@h #1#2%
+\def\XINT_gctf_loop_h #1#2%
{%
- \expandafter\XINT@gctf@loop@i\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_gctf_loop_i\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@gctf@loop@i #1#2%
+\def\XINT_gctf_loop_i #1#2%
{%
- \expandafter\XINT@gctf@loop@j\expandafter {\expandafter{#2}#1}%
+ \expandafter\XINT_gctf_loop_j\expandafter {\expandafter{#2}#1}%
}%
-\def\XINT@gctf@loop@j #1#2%
+\def\XINT_gctf_loop_j #1#2%
{%
- \expandafter\XINT@gctf@loop@a\expandafter {#2}#1%
+ \expandafter\XINT_gctf_loop_a\expandafter {#2}#1%
}%
-\def\XINT@gctf@end #1.#2#3#4#5{\xintraw {#2/#3}[0]}%
+\def\XINT_gctf_end #1.#2#3#4#5{\xintraw {#2/#3}[0]}%
% \end{macrocode}
% \subsection{\csh{xintiGCtoF}}
% \begin{macrocode}
\def\xintiGCtoF {\romannumeral0\xintigctof }%
\def\xintigctof #1%
{%
- \expandafter\XINT@igctf@prep \romannumeral-`0#1+\W/%
+ \expandafter\XINT_igctf_prep \romannumeral-`0#1+\W/%
}%
-\def\XINT@igctf@prep
+\def\XINT_igctf_prep
{%
- \XINT@igctf@loop@a 1001%
+ \XINT_igctf_loop_a 1001%
}%
-\def\XINT@igctf@loop@a #1#2#3#4#5+%
+\def\XINT_igctf_loop_a #1#2#3#4#5+%
{%
- \expandafter\XINT@igctf@loop@b
+ \expandafter\XINT_igctf_loop_b
\romannumeral-`0#5.{#1}{#2}{#3}{#4}%
}%
-\def\XINT@igctf@loop@b #1.#2#3#4#5%
+\def\XINT_igctf_loop_b #1.#2#3#4#5%
{%
- \expandafter\XINT@igctf@loop@c\expandafter
- {\romannumeral0\xintiadd {#5}{\XINT@Mul {#1}{#3}}}%
- {\romannumeral0\xintiadd {#4}{\XINT@Mul {#1}{#2}}}%
+ \expandafter\XINT_igctf_loop_c\expandafter
+ {\romannumeral0\xintiadd {#5}{\XINT_Mul {#1}{#3}}}%
+ {\romannumeral0\xintiadd {#4}{\XINT_Mul {#1}{#2}}}%
{#2}{#3}%
}%
-\def\XINT@igctf@loop@c #1#2%
+\def\XINT_igctf_loop_c #1#2%
{%
- \expandafter\XINT@igctf@loop@f\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_igctf_loop_f\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@igctf@loop@f #1#2#3#4/%
+\def\XINT_igctf_loop_f #1#2#3#4/%
{%
- \xint@w #4\XINT@igctf@end\W
- \expandafter\XINT@igctf@loop@g
+ \xint_gob_til_w #4\XINT_igctf_end\W
+ \expandafter\XINT_igctf_loop_g
\romannumeral-`0#4.{#2}{#3}#1%
}%
-\def\XINT@igctf@loop@g #1.#2#3%
+\def\XINT_igctf_loop_g #1.#2#3%
{%
- \expandafter\XINT@igctf@loop@h\expandafter
- {\romannumeral0\XINT@mul@fork #1\Z #3\Z }%
- {\romannumeral0\XINT@mul@fork #1\Z #2\Z }%
+ \expandafter\XINT_igctf_loop_h\expandafter
+ {\romannumeral0\XINT_mul_fork #1\Z #3\Z }%
+ {\romannumeral0\XINT_mul_fork #1\Z #2\Z }%
}%
-\def\XINT@igctf@loop@h #1#2%
+\def\XINT_igctf_loop_h #1#2%
{%
- \expandafter\XINT@igctf@loop@i\expandafter {#2}{#1}%
+ \expandafter\XINT_igctf_loop_i\expandafter {#2}{#1}%
}%
-\def\XINT@igctf@loop@i #1#2#3#4%
+\def\XINT_igctf_loop_i #1#2#3#4%
{%
- \XINT@igctf@loop@a {#3}{#4}{#1}{#2}%
+ \XINT_igctf_loop_a {#3}{#4}{#1}{#2}%
}%
-\def\XINT@igctf@end #1.#2#3#4#5{\xintraw {#4/#5}[0]}%
+\def\XINT_igctf_end #1.#2#3#4#5{\xintraw {#4/#5}[0]}%
% \end{macrocode}
% \subsection{\csh{xintCstoCv}}
% \begin{macrocode}
\def\xintCstoCv {\romannumeral0\xintcstocv }%
\def\xintcstocv #1%
{%
- \expandafter\XINT@cstcv@prep \romannumeral-`0#1,\W,%
+ \expandafter\XINT_cstcv_prep \romannumeral-`0#1,\W,%
}%
-\def\XINT@cstcv@prep
+\def\XINT_cstcv_prep
{%
- \XINT@cstcv@loop@a {}1001%
+ \XINT_cstcv_loop_a {}1001%
}%
-\def\XINT@cstcv@loop@a #1#2#3#4#5#6,%
+\def\XINT_cstcv_loop_a #1#2#3#4#5#6,%
{%
- \xint@w #6\XINT@cstcv@end\W
- \expandafter\XINT@cstcv@loop@b
+ \xint_gob_til_w #6\XINT_cstcv_end\W
+ \expandafter\XINT_cstcv_loop_b
\romannumeral0\xintraw {#6}.{#2}{#3}{#4}{#5}{#1}%
}%
-\def\XINT@cstcv@loop@b #1/#2.#3#4#5#6%
+\def\XINT_cstcv_loop_b #1/#2.#3#4#5#6%
{%
- \expandafter\XINT@cstcv@loop@c\expandafter
- {\romannumeral0\XINT@mul@fork #2\Z #4\Z }%
- {\romannumeral0\XINT@mul@fork #2\Z #3\Z }%
- {\romannumeral0\xintiadd {\XINT@Mul {#2}{#6}}{\XINT@Mul {#1}{#4}}}%
- {\romannumeral0\xintiadd {\XINT@Mul {#2}{#5}}{\XINT@Mul {#1}{#3}}}%
+ \expandafter\XINT_cstcv_loop_c\expandafter
+ {\romannumeral0\XINT_mul_fork #2\Z #4\Z }%
+ {\romannumeral0\XINT_mul_fork #2\Z #3\Z }%
+ {\romannumeral0\xintiadd {\XINT_Mul {#2}{#6}}{\XINT_Mul {#1}{#4}}}%
+ {\romannumeral0\xintiadd {\XINT_Mul {#2}{#5}}{\XINT_Mul {#1}{#3}}}%
}%
-\def\XINT@cstcv@loop@c #1#2%
+\def\XINT_cstcv_loop_c #1#2%
{%
- \expandafter\XINT@cstcv@loop@d\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_cstcv_loop_d\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@cstcv@loop@d #1#2%
+\def\XINT_cstcv_loop_d #1#2%
{%
- \expandafter\XINT@cstcv@loop@e\expandafter {\expandafter{#2}#1}%
+ \expandafter\XINT_cstcv_loop_e\expandafter {\expandafter{#2}#1}%
}%
-\def\XINT@cstcv@loop@e #1#2%
+\def\XINT_cstcv_loop_e #1#2%
{%
- \expandafter\XINT@cstcv@loop@f\expandafter{#2}#1%
+ \expandafter\XINT_cstcv_loop_f\expandafter{#2}#1%
}%
-\def\XINT@cstcv@loop@f #1#2#3#4#5%
+\def\XINT_cstcv_loop_f #1#2#3#4#5%
{%
- \expandafter\XINT@cstcv@loop@g\expandafter
+ \expandafter\XINT_cstcv_loop_g\expandafter
{\romannumeral0\xintraw {#1/#2}}{#5}{#1}{#2}{#3}{#4}%
}%
-\def\XINT@cstcv@loop@g #1#2{\XINT@cstcv@loop@a {#2{#1[0]}}}%
-\def\XINT@cstcv@end #1.#2#3#4#5#6{ #6}%
+\def\XINT_cstcv_loop_g #1#2{\XINT_cstcv_loop_a {#2{#1[0]}}}%
+\def\XINT_cstcv_end #1.#2#3#4#5#6{ #6}%
% \end{macrocode}
% \subsection{\csh{xintiCstoCv}}
% \begin{macrocode}
\def\xintiCstoCv {\romannumeral0\xinticstocv }%
\def\xinticstocv #1%
{%
- \expandafter\XINT@icstcv@prep \romannumeral-`0#1,\W,%
+ \expandafter\XINT_icstcv_prep \romannumeral-`0#1,\W,%
}%
-\def\XINT@icstcv@prep
+\def\XINT_icstcv_prep
{%
- \XINT@icstcv@loop@a {}1001%
+ \XINT_icstcv_loop_a {}1001%
}%
-\def\XINT@icstcv@loop@a #1#2#3#4#5#6,%
+\def\XINT_icstcv_loop_a #1#2#3#4#5#6,%
{%
- \xint@w #6\XINT@icstcv@end\W
+ \xint_gob_til_w #6\XINT_icstcv_end\W
\expandafter
- \XINT@icstcv@loop@b \romannumeral-`0#6.{#2}{#3}{#4}{#5}{#1}%
+ \XINT_icstcv_loop_b \romannumeral-`0#6.{#2}{#3}{#4}{#5}{#1}%
}%
-\def\XINT@icstcv@loop@b #1.#2#3#4#5%
+\def\XINT_icstcv_loop_b #1.#2#3#4#5%
{%
- \expandafter\XINT@icstcv@loop@c\expandafter
- {\romannumeral0\xintiadd {#5}{\XINT@Mul {#1}{#3}}}%
- {\romannumeral0\xintiadd {#4}{\XINT@Mul {#1}{#2}}}%
+ \expandafter\XINT_icstcv_loop_c\expandafter
+ {\romannumeral0\xintiadd {#5}{\XINT_Mul {#1}{#3}}}%
+ {\romannumeral0\xintiadd {#4}{\XINT_Mul {#1}{#2}}}%
{{#2}{#3}}%
}%
-\def\XINT@icstcv@loop@c #1#2%
+\def\XINT_icstcv_loop_c #1#2%
{%
- \expandafter\XINT@icstcv@loop@d\expandafter {#2}{#1}%
+ \expandafter\XINT_icstcv_loop_d\expandafter {#2}{#1}%
}%
-\def\XINT@icstcv@loop@d #1#2%
+\def\XINT_icstcv_loop_d #1#2%
{%
- \expandafter\XINT@icstcv@loop@e\expandafter
+ \expandafter\XINT_icstcv_loop_e\expandafter
{\romannumeral0\xintraw {#1/#2}}{{#1}{#2}}%
}%
-\def\XINT@icstcv@loop@e #1#2#3#4{\XINT@icstcv@loop@a {#4{#1[0]}}#2#3}%
-\def\XINT@icstcv@end #1.#2#3#4#5#6{ #6}%
+\def\XINT_icstcv_loop_e #1#2#3#4{\XINT_icstcv_loop_a {#4{#1[0]}}#2#3}%
+\def\XINT_icstcv_end #1.#2#3#4#5#6{ #6}%
% \end{macrocode}
% \subsection{\csh{xintGCtoCv}}
% \begin{macrocode}
\def\xintGCtoCv {\romannumeral0\xintgctocv }%
\def\xintgctocv #1%
{%
- \expandafter\XINT@gctcv@prep \romannumeral-`0#1+\W/%
+ \expandafter\XINT_gctcv_prep \romannumeral-`0#1+\W/%
}%
-\def\XINT@gctcv@prep
+\def\XINT_gctcv_prep
{%
- \XINT@gctcv@loop@a {}1001%
+ \XINT_gctcv_loop_a {}1001%
}%
-\def\XINT@gctcv@loop@a #1#2#3#4#5#6+%
+\def\XINT_gctcv_loop_a #1#2#3#4#5#6+%
{%
- \expandafter\XINT@gctcv@loop@b
+ \expandafter\XINT_gctcv_loop_b
\romannumeral0\xintraw {#6}.{#2}{#3}{#4}{#5}{#1}%
}%
-\def\XINT@gctcv@loop@b #1/#2.#3#4#5#6%
+\def\XINT_gctcv_loop_b #1/#2.#3#4#5#6%
{%
- \expandafter\XINT@gctcv@loop@c\expandafter
- {\romannumeral0\XINT@mul@fork #2\Z #4\Z }%
- {\romannumeral0\XINT@mul@fork #2\Z #3\Z }%
- {\romannumeral0\xintiadd {\XINT@Mul {#2}{#6}}{\XINT@Mul {#1}{#4}}}%
- {\romannumeral0\xintiadd {\XINT@Mul {#2}{#5}}{\XINT@Mul {#1}{#3}}}%
+ \expandafter\XINT_gctcv_loop_c\expandafter
+ {\romannumeral0\XINT_mul_fork #2\Z #4\Z }%
+ {\romannumeral0\XINT_mul_fork #2\Z #3\Z }%
+ {\romannumeral0\xintiadd {\XINT_Mul {#2}{#6}}{\XINT_Mul {#1}{#4}}}%
+ {\romannumeral0\xintiadd {\XINT_Mul {#2}{#5}}{\XINT_Mul {#1}{#3}}}%
}%
-\def\XINT@gctcv@loop@c #1#2%
+\def\XINT_gctcv_loop_c #1#2%
{%
- \expandafter\XINT@gctcv@loop@d\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_gctcv_loop_d\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@gctcv@loop@d #1#2%
+\def\XINT_gctcv_loop_d #1#2%
{%
- \expandafter\XINT@gctcv@loop@e\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_gctcv_loop_e\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@gctcv@loop@e #1#2%
+\def\XINT_gctcv_loop_e #1#2%
{%
- \expandafter\XINT@gctcv@loop@f\expandafter {#2}#1%
+ \expandafter\XINT_gctcv_loop_f\expandafter {#2}#1%
}%
-\def\XINT@gctcv@loop@f #1#2%
+\def\XINT_gctcv_loop_f #1#2%
{%
- \expandafter\XINT@gctcv@loop@g\expandafter
+ \expandafter\XINT_gctcv_loop_g\expandafter
{\romannumeral0\xintraw {#1/#2}}{{#1}{#2}}%
}%
-\def\XINT@gctcv@loop@g #1#2#3#4%
+\def\XINT_gctcv_loop_g #1#2#3#4%
{%
- \XINT@gctcv@loop@h {#4{#1[0]}}{#2#3}%
+ \XINT_gctcv_loop_h {#4{#1[0]}}{#2#3}%
}%
-\def\XINT@gctcv@loop@h #1#2#3/%
+\def\XINT_gctcv_loop_h #1#2#3/%
{%
- \xint@w #3\XINT@gctcv@end\W\expandafter\XINT@gctcv@loop@i
+ \xint_gob_til_w #3\XINT_gctcv_end\W
+ \expandafter\XINT_gctcv_loop_i
\romannumeral0\xintraw {#3}.#2{#1}%
}%
-\def\XINT@gctcv@loop@i #1/#2.#3#4#5#6%
+\def\XINT_gctcv_loop_i #1/#2.#3#4#5#6%
{%
- \expandafter\XINT@gctcv@loop@j\expandafter
- {\romannumeral0\XINT@mul@fork #1\Z #6\Z }%
- {\romannumeral0\XINT@mul@fork #1\Z #5\Z }%
- {\romannumeral0\XINT@mul@fork #2\Z #4\Z }%
- {\romannumeral0\XINT@mul@fork #2\Z #3\Z }%
+ \expandafter\XINT_gctcv_loop_j\expandafter
+ {\romannumeral0\XINT_mul_fork #1\Z #6\Z }%
+ {\romannumeral0\XINT_mul_fork #1\Z #5\Z }%
+ {\romannumeral0\XINT_mul_fork #2\Z #4\Z }%
+ {\romannumeral0\XINT_mul_fork #2\Z #3\Z }%
}%
-\def\XINT@gctcv@loop@j #1#2%
+\def\XINT_gctcv_loop_j #1#2%
{%
- \expandafter\XINT@gctcv@loop@k\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_gctcv_loop_k\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@gctcv@loop@k #1#2%
+\def\XINT_gctcv_loop_k #1#2%
{%
- \expandafter\XINT@gctcv@loop@l\expandafter {\expandafter{#2}#1}%
+ \expandafter\XINT_gctcv_loop_l\expandafter {\expandafter{#2}#1}%
}%
-\def\XINT@gctcv@loop@l #1#2%
+\def\XINT_gctcv_loop_l #1#2%
{%
- \expandafter\XINT@gctcv@loop@m\expandafter {\expandafter{#2}#1}%
+ \expandafter\XINT_gctcv_loop_m\expandafter {\expandafter{#2}#1}%
}%
-\def\XINT@gctcv@loop@m #1#2{\XINT@gctcv@loop@a {#2}#1}%
-\def\XINT@gctcv@end #1.#2#3#4#5#6{ #6}%
+\def\XINT_gctcv_loop_m #1#2{\XINT_gctcv_loop_a {#2}#1}%
+\def\XINT_gctcv_end #1.#2#3#4#5#6{ #6}%
% \end{macrocode}
% \subsection{\csh{xintiGCtoCv}}
% \begin{macrocode}
\def\xintiGCtoCv {\romannumeral0\xintigctocv }%
\def\xintigctocv #1%
{%
- \expandafter\XINT@igctcv@prep \romannumeral-`0#1+\W/%
+ \expandafter\XINT_igctcv_prep \romannumeral-`0#1+\W/%
}%
-\def\XINT@igctcv@prep
+\def\XINT_igctcv_prep
{%
- \XINT@igctcv@loop@a {}1001%
+ \XINT_igctcv_loop_a {}1001%
}%
-\def\XINT@igctcv@loop@a #1#2#3#4#5#6+%
+\def\XINT_igctcv_loop_a #1#2#3#4#5#6+%
{%
- \expandafter\XINT@igctcv@loop@b
+ \expandafter\XINT_igctcv_loop_b
\romannumeral-`0#6.{#2}{#3}{#4}{#5}{#1}%
}%
-\def\XINT@igctcv@loop@b #1.#2#3#4#5%
+\def\XINT_igctcv_loop_b #1.#2#3#4#5%
{%
- \expandafter\XINT@igctcv@loop@c\expandafter
- {\romannumeral0\xintiadd {#5}{\XINT@Mul {#1}{#3}}}%
- {\romannumeral0\xintiadd {#4}{\XINT@Mul {#1}{#2}}}%
+ \expandafter\XINT_igctcv_loop_c\expandafter
+ {\romannumeral0\xintiadd {#5}{\XINT_Mul {#1}{#3}}}%
+ {\romannumeral0\xintiadd {#4}{\XINT_Mul {#1}{#2}}}%
{{#2}{#3}}%
}%
-\def\XINT@igctcv@loop@c #1#2%
+\def\XINT_igctcv_loop_c #1#2%
{%
- \expandafter\XINT@igctcv@loop@f\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_igctcv_loop_f\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@igctcv@loop@f #1#2#3#4/%
+\def\XINT_igctcv_loop_f #1#2#3#4/%
{%
- \xint@w #4\XINT@igctcv@end@a\W
- \expandafter\XINT@igctcv@loop@g
+ \xint_gob_til_w #4\XINT_igctcv_end_a\W
+ \expandafter\XINT_igctcv_loop_g
\romannumeral-`0#4.#1#2{#3}%
}%
-\def\XINT@igctcv@loop@g #1.#2#3#4#5%
+\def\XINT_igctcv_loop_g #1.#2#3#4#5%
{%
- \expandafter\XINT@igctcv@loop@h\expandafter
- {\romannumeral0\XINT@mul@fork #1\Z #5\Z }%
- {\romannumeral0\XINT@mul@fork #1\Z #4\Z }%
+ \expandafter\XINT_igctcv_loop_h\expandafter
+ {\romannumeral0\XINT_mul_fork #1\Z #5\Z }%
+ {\romannumeral0\XINT_mul_fork #1\Z #4\Z }%
{{#2}{#3}}%
}%
-\def\XINT@igctcv@loop@h #1#2%
+\def\XINT_igctcv_loop_h #1#2%
{%
- \expandafter\XINT@igctcv@loop@i\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_igctcv_loop_i\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@igctcv@loop@i #1#2{\XINT@igctcv@loop@k #2{#2#1}}%
-\def\XINT@igctcv@loop@k #1#2%
+\def\XINT_igctcv_loop_i #1#2{\XINT_igctcv_loop_k #2{#2#1}}%
+\def\XINT_igctcv_loop_k #1#2%
{%
- \expandafter\XINT@igctcv@loop@l\expandafter
+ \expandafter\XINT_igctcv_loop_l\expandafter
{\romannumeral0\xintraw {#1/#2}}%
}%
-\def\XINT@igctcv@loop@l #1#2#3{\XINT@igctcv@loop@a {#3{#1[0]}}#2}%
-\def\XINT@igctcv@end@a #1.#2#3#4#5%
+\def\XINT_igctcv_loop_l #1#2#3{\XINT_igctcv_loop_a {#3{#1[0]}}#2}%
+\def\XINT_igctcv_end_a #1.#2#3#4#5%
{%
- \expandafter\XINT@igctcv@end@b\expandafter
+ \expandafter\XINT_igctcv_end_b\expandafter
{\romannumeral0\xintraw {#2/#3}}%
}%
-\def\XINT@igctcv@end@b #1#2{ #2{#1[0]}}%
+\def\XINT_igctcv_end_b #1#2{ #2{#1[0]}}%
% \end{macrocode}
% \subsection{\csh{xintCntoF}}
-% \begin{verbatim}
+% \lverb|&
% Modified in 1.06 to give the N first to a \numexpr rather than expanding
-% twice. I just use \the\numexpr and maintain the previous code after that.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% twice. I just use \the\numexpr and maintain the previous code after that.|
% \begin{macrocode}
\def\xintCntoF {\romannumeral0\xintcntof }%
\def\xintcntof #1%
{%
- \expandafter\XINT@cntf\expandafter {\the\numexpr #1}%
+ \expandafter\XINT_cntf\expandafter {\the\numexpr #1}%
}%
-\def\XINT@cntf #1#2%
+\def\XINT_cntf #1#2%
{%
\ifnum #1>0
- \xint@afterfi {\expandafter\XINT@cntf@loop\expandafter
+ \xint_afterfi {\expandafter\XINT_cntf_loop\expandafter
{\the\numexpr #1-1\expandafter}\expandafter
{\romannumeral-`0#2{#1}}{#2}}%
\else
- \xint@afterfi
+ \xint_afterfi
{\ifnum #1=0
- \xint@afterfi {\expandafter\space \romannumeral-`0#2{0}}%
- \else \xint@afterfi { 0/1[0]}%
+ \xint_afterfi {\expandafter\space \romannumeral-`0#2{0}}%
+ \else \xint_afterfi { 0/1[0]}%
\fi}%
\fi
}%
-\def\XINT@cntf@loop #1#2#3%
+\def\XINT_cntf_loop #1#2#3%
{%
- \ifnum #1>0 \else \XINT@cntf@exit \fi
- \expandafter\XINT@cntf@loop\expandafter
+ \ifnum #1>0 \else \XINT_cntf_exit \fi
+ \expandafter\XINT_cntf_loop\expandafter
{\the\numexpr #1-1\expandafter }\expandafter
{\romannumeral0\xintadd {\xintDiv {1[0]}{#2}}{#3{#1}}}%
{#3}%
}%
-\def\XINT@cntf@exit \fi
- \expandafter\XINT@cntf@loop\expandafter
+\def\XINT_cntf_exit \fi
+ \expandafter\XINT_cntf_loop\expandafter
#1\expandafter #2#3%
{%
- \fi\xint@gobble@ii #2%
+ \fi\xint_gobble_ii #2%
}%
% \end{macrocode}
% \subsection{\csh{xintGCntoF}}
-% \begin{verbatim}
+% \lverb|&
% Modified in 1.06 to give the N first to a \numexpr rather than expanding
-% twice. I just use \the\numexpr and maintain the previous code after that.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% twice. I just use \the\numexpr and maintain the previous code after that.|
% \begin{macrocode}
\def\xintGCntoF {\romannumeral0\xintgcntof }%
\def\xintgcntof #1%
{%
- \expandafter\XINT@gcntf\expandafter {\the\numexpr #1}%
+ \expandafter\XINT_gcntf\expandafter {\the\numexpr #1}%
}%
-\def\XINT@gcntf #1#2#3%
+\def\XINT_gcntf #1#2#3%
{%
\ifnum #1>0
- \xint@afterfi {\expandafter\XINT@gcntf@loop\expandafter
+ \xint_afterfi {\expandafter\XINT_gcntf_loop\expandafter
{\the\numexpr #1-1\expandafter}\expandafter
{\romannumeral-`0#2{#1}}{#2}{#3}}%
\else
- \xint@afterfi
+ \xint_afterfi
{\ifnum #1=0
- \xint@afterfi {\expandafter\space\romannumeral-`0#2{0}}%
- \else \xint@afterfi { 0/1[0]}%
+ \xint_afterfi {\expandafter\space\romannumeral-`0#2{0}}%
+ \else \xint_afterfi { 0/1[0]}%
\fi}%
\fi
}%
-\def\XINT@gcntf@loop #1#2#3#4%
+\def\XINT_gcntf_loop #1#2#3#4%
{%
- \ifnum #1>0 \else \XINT@gcntf@exit \fi
- \expandafter\XINT@gcntf@loop\expandafter
+ \ifnum #1>0 \else \XINT_gcntf_exit \fi
+ \expandafter\XINT_gcntf_loop\expandafter
{\the\numexpr #1-1\expandafter }\expandafter
{\romannumeral0\xintadd {\xintDiv {#4{#1}}{#2}}{#3{#1}}}%
{#3}{#4}%
}%
-\def\XINT@gcntf@exit \fi
- \expandafter\XINT@gcntf@loop\expandafter
+\def\XINT_gcntf_exit \fi
+ \expandafter\XINT_gcntf_loop\expandafter
#1\expandafter #2#3#4%
{%
- \fi\xint@gobble@ii #2%
+ \fi\xint_gobble_ii #2%
}%
% \end{macrocode}
% \subsection{\csh{xintCntoCs}}
-% \begin{verbatim}
+% \lverb|&
% Modified in 1.06 to give the N first to a \numexpr rather than expanding
-% twice. I just use \the\numexpr and maintain the previous code after that.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% twice. I just use \the\numexpr and maintain the previous code after that.|
% \begin{macrocode}
\def\xintCntoCs {\romannumeral0\xintcntocs }%
\def\xintcntocs #1%
{%
- \expandafter\XINT@cntcs\expandafter {\the\numexpr #1}%
+ \expandafter\XINT_cntcs\expandafter {\the\numexpr #1}%
}%
-\def\XINT@cntcs #1#2%
+\def\XINT_cntcs #1#2%
{%
\ifnum #1<0
- \xint@afterfi { 0/1[0]}%
+ \xint_afterfi { 0/1[0]}%
\else
- \xint@afterfi {\expandafter\XINT@cntcs@loop\expandafter
+ \xint_afterfi {\expandafter\XINT_cntcs_loop\expandafter
{\the\numexpr #1-1\expandafter}\expandafter
{\expandafter{\romannumeral-`0#2{#1}}}{#2}}%
\fi
}%
-\def\XINT@cntcs@loop #1#2#3%
+\def\XINT_cntcs_loop #1#2#3%
{%
- \ifnum #1>-1 \else \XINT@cntcs@exit \fi
- \expandafter\XINT@cntcs@loop\expandafter
+ \ifnum #1>-1 \else \XINT_cntcs_exit \fi
+ \expandafter\XINT_cntcs_loop\expandafter
{\the\numexpr #1-1\expandafter }\expandafter
{\expandafter{\romannumeral-`0#3{#1}},#2}{#3}%
}%
-\def\XINT@cntcs@exit \fi
- \expandafter\XINT@cntcs@loop\expandafter
+\def\XINT_cntcs_exit \fi
+ \expandafter\XINT_cntcs_loop\expandafter
#1\expandafter #2#3%
{%
- \fi\XINT@cntcs@@exit #2%
+ \fi\XINT_cntcs__exit #2%
}%
-\def\XINT@cntcs@@exit #1,{ }%
+\def\XINT_cntcs__exit #1,{ }%
% \end{macrocode}
% \subsection{\csh{xintCntoGC}}
-% \begin{verbatim}
+% \lverb|&
% Modified in 1.06 to give the N first to a \numexpr rather than expanding
-% twice. I just use \the\numexpr and maintain the previous code after that.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% twice. I just use \the\numexpr and maintain the previous code after that.|
% \begin{macrocode}
\def\xintCntoGC {\romannumeral0\xintcntogc }%
\def\xintcntogc #1%
{%
- \expandafter\XINT@cntgc\expandafter {\the\numexpr #1}%
+ \expandafter\XINT_cntgc\expandafter {\the\numexpr #1}%
}%
-\def\XINT@cntgc #1#2%
+\def\XINT_cntgc #1#2%
{%
\ifnum #1<0
- \xint@afterfi { 0/1[0]}%
+ \xint_afterfi { 0/1[0]}%
\else
- \xint@afterfi {\expandafter\XINT@cntgc@loop\expandafter
+ \xint_afterfi {\expandafter\XINT_cntgc_loop\expandafter
{\the\numexpr #1-1\expandafter}\expandafter
{\expandafter{\romannumeral-`0#2{#1}}}{#2}}%
\fi
}%
-\def\XINT@cntgc@loop #1#2#3%
+\def\XINT_cntgc_loop #1#2#3%
{%
- \ifnum #1>-1 \else \XINT@cntgc@exit \fi
- \expandafter\XINT@cntgc@loop\expandafter
+ \ifnum #1>-1 \else \XINT_cntgc_exit \fi
+ \expandafter\XINT_cntgc_loop\expandafter
{\the\numexpr #1-1\expandafter }\expandafter
{\expandafter{\romannumeral-`0#3{#1}}+1/#2}{#3}%
}%
-\def\XINT@cntgc@exit \fi
- \expandafter\XINT@cntgc@loop\expandafter
+\def\XINT_cntgc_exit \fi
+ \expandafter\XINT_cntgc_loop\expandafter
#1\expandafter #2#3%
{%
- \fi\XINT@cntgc@@exit #2%
+ \fi\XINT_cntgc__exit #2%
}%
-\def\XINT@cntgc@@exit #1+1/{ }%
+\def\XINT_cntgc__exit #1+1/{ }%
% \end{macrocode}
% \subsection{\csh{xintGCntoGC}}
-% \begin{verbatim}
+% \lverb|&
% Modified in 1.06 to give the N first to a \numexpr rather than expanding
-% twice. I just use \the\numexpr and maintain the previous code after that.
-% \end{verbatim}
-% \vspace*{-1.5\baselineskip}
+% twice. I just use \the\numexpr and maintain the previous code after that.|
% \begin{macrocode}
\def\xintGCntoGC {\romannumeral0\xintgcntogc }%
\def\xintgcntogc #1%
{%
- \expandafter\XINT@gcntgc\expandafter {\the\numexpr #1}%
+ \expandafter\XINT_gcntgc\expandafter {\the\numexpr #1}%
}%
-\def\XINT@gcntgc #1#2#3%
+\def\XINT_gcntgc #1#2#3%
{%
\ifnum #1<0
- \xint@afterfi { {0/1[0]}}%
+ \xint_afterfi { {0/1[0]}}%
\else
- \xint@afterfi {\expandafter\XINT@gcntgc@loop\expandafter
+ \xint_afterfi {\expandafter\XINT_gcntgc_loop\expandafter
{\the\numexpr #1-1\expandafter}\expandafter
{\expandafter{\romannumeral-`0#2{#1}}}{#2}{#3}}%
\fi
}%
-\def\XINT@gcntgc@loop #1#2#3#4%
+\def\XINT_gcntgc_loop #1#2#3#4%
{%
- \ifnum #1>-1 \else \XINT@gcntgc@exit \fi
- \expandafter\XINT@gcntgc@loop@b\expandafter
+ \ifnum #1>-1 \else \XINT_gcntgc_exit \fi
+ \expandafter\XINT_gcntgc_loop_b\expandafter
{\expandafter{\romannumeral-`0#4{#1}}/#2}{#3{#1}}{#1}{#3}{#4}%
}%
-\def\XINT@gcntgc@loop@b #1#2#3%
+\def\XINT_gcntgc_loop_b #1#2#3%
{%
- \expandafter\XINT@gcntgc@loop\expandafter
+ \expandafter\XINT_gcntgc_loop\expandafter
{\the\numexpr #3-1\expandafter}\expandafter
{\expandafter{\romannumeral-`0#2}+#1}%
}%
-\def\XINT@gcntgc@exit \fi
- \expandafter\XINT@gcntgc@loop@b\expandafter #1#2#3#4#5%
+\def\XINT_gcntgc_exit \fi
+ \expandafter\XINT_gcntgc_loop_b\expandafter #1#2#3#4#5%
{%
- \fi\XINT@gcntgc@@exit #1%
+ \fi\XINT_gcntgc__exit #1%
}%
-\def\XINT@gcntgc@@exit #1/{ }%
+\def\XINT_gcntgc__exit #1/{ }%
% \end{macrocode}
% \subsection{\csh{xintCstoGC}}
% \begin{macrocode}
\def\xintCstoGC {\romannumeral0\xintcstogc }%
\def\xintcstogc #1%
{%
- \expandafter\XINT@cstc@prep \romannumeral-`0#1,\W,%
+ \expandafter\XINT_cstc_prep \romannumeral-`0#1,\W,%
}%
-\def\XINT@cstc@prep #1,{\XINT@cstc@loop@a {{#1}}}%
-\def\XINT@cstc@loop@a #1#2,%
+\def\XINT_cstc_prep #1,{\XINT_cstc_loop_a {{#1}}}%
+\def\XINT_cstc_loop_a #1#2,%
{%
- \xint@w #2\XINT@cstc@end\W\XINT@cstc@loop@b {#1}{#2}%
+ \xint_gob_til_w #2\XINT_cstc_end\W
+ \XINT_cstc_loop_b {#1}{#2}%
}%
-\def\XINT@cstc@loop@b #1#2{\XINT@cstc@loop@a {#1+1/{#2}}}%
-\def\XINT@cstc@end\W\XINT@cstc@loop@b #1#2{ #1}%
+\def\XINT_cstc_loop_b #1#2{\XINT_cstc_loop_a {#1+1/{#2}}}%
+\def\XINT_cstc_end\W\XINT_cstc_loop_b #1#2{ #1}%
% \end{macrocode}
% \subsection{\csh{xintGCtoGC}}
% \begin{macrocode}
\def\xintGCtoGC {\romannumeral0\xintgctogc }%
\def\xintgctogc #1%
{%
- \expandafter\XINT@gctgc@start \romannumeral-`0#1+\W/%
+ \expandafter\XINT_gctgc_start \romannumeral-`0#1+\W/%
}%
-\def\XINT@gctgc@start {\XINT@gctgc@loop@a {}}%
-\def\XINT@gctgc@loop@a #1#2+#3/%
+\def\XINT_gctgc_start {\XINT_gctgc_loop_a {}}%
+\def\XINT_gctgc_loop_a #1#2+#3/%
{%
- \xint@w #3\XINT@gctgc@end\W\expandafter\XINT@gctgc@loop@b\expandafter
+ \xint_gob_til_w #3\XINT_gctgc_end\W
+ \expandafter\XINT_gctgc_loop_b\expandafter
{\romannumeral-`0#2}{#3}{#1}%
}%
-\def\XINT@gctgc@loop@b #1#2%
+\def\XINT_gctgc_loop_b #1#2%
{%
- \expandafter\XINT@gctgc@loop@c\expandafter
+ \expandafter\XINT_gctgc_loop_c\expandafter
{\romannumeral-`0#2}{#1}%
}%
-\def\XINT@gctgc@loop@c #1#2#3%
+\def\XINT_gctgc_loop_c #1#2#3%
{%
- \XINT@gctgc@loop@a {#3{#2}+{#1}/}%
+ \XINT_gctgc_loop_a {#3{#2}+{#1}/}%
}%
-\def\XINT@gctgc@end\W\expandafter\XINT@gctgc@loop@b
+\def\XINT_gctgc_end\W\expandafter\XINT_gctgc_loop_b
{%
- \expandafter\XINT@gctgc@@end
+ \expandafter\XINT_gctgc__end
}%
-\def\XINT@gctgc@@end #1#2#3{ #3{#1}}%
-\XINT@cfrac@restorecatcodes@endinput%
+\def\XINT_gctgc__end #1#2#3{ #3{#1}}%
+\XINT_cfrac_restorecatcodes_endinput%
% \end{macrocode}
% \DeleteShortVerb{\|}
% \MakePercentComment
@@ -12256,7 +12069,7 @@ first place.
Grave accent \` Left brace \{ Vertical bar \|
Right brace \} Tilde \~}
-\CheckSum{11366}
+\CheckSum{11444}
\makeatletter\check@checksum\makeatother
\Finale
%%
diff --git a/Master/texmf-dist/source/generic/xint/xint.ins b/Master/texmf-dist/source/generic/xint/xint.ins
index 035604e2639..24c8379d8bd 100644
--- a/Master/texmf-dist/source/generic/xint/xint.ins
+++ b/Master/texmf-dist/source/generic/xint/xint.ins
@@ -1,6 +1,6 @@
%%
%%----------------------------------------------------------------
-%% The xint bundle (version 1.06a of May 9, 2013)
+%% The xint bundle (version 1.06b of May 14, 2013)
%% Copyright (C) 2013 by Jean-Francois Burnol
%%----------------------------------------------------------------
%%
diff --git a/Master/texmf-dist/tex/generic/xint/xint.sty b/Master/texmf-dist/tex/generic/xint/xint.sty
index ef1d86a9614..c296158f940 100644
--- a/Master/texmf-dist/tex/generic/xint/xint.sty
+++ b/Master/texmf-dist/tex/generic/xint/xint.sty
@@ -22,7 +22,7 @@
%% in the same archive or directory.)
%%
%%----------------------------------------------------------------
-%% The xint bundle (version 1.06a of May 9, 2013)
+%% The xint bundle (version 1.06b of May 14, 2013)
%% xint: Expandable operations on long numbers
%% Copyright (C) 2013 by Jean-Francois Burnol
%%----------------------------------------------------------------
@@ -33,6 +33,7 @@
\catcode123=1 % {
\catcode125=2 % }
\catcode64=11 % @
+ \catcode95=11 % _ (starting with 1.06b, used inside cs names)
\catcode35=6 % #
\catcode44=12 % ,
\catcode45=12 % -
@@ -64,7 +65,7 @@
\def\ChangeCatcodesIfInputNotAborted
{%
\endgroup
- \edef\XINT@restorecatcodes@endinput
+ \edef\XINT_restorecatcodes_endinput
{%
\catcode96=\the\catcode96 % `
\catcode47=\the\catcode47 % /
@@ -79,7 +80,7 @@
\catcode45=\the\catcode45 % -
\catcode44=\the\catcode44 % ,
\catcode35=\the\catcode35 % #
- \catcode64=\the\catcode64 % @
+ \catcode95=\the\catcode95 % _
\catcode125=\the\catcode125 % }
\catcode123=\the\catcode123 % {
\endlinechar=\the\endlinechar
@@ -88,7 +89,7 @@
\catcode61=\the\catcode61\relax % =
\noexpand\endinput
}%
- \def\XINT@setcatcodes
+ \def\XINT_setcatcodes
{%
\catcode61=12 % =
\catcode32=10 % space
@@ -96,7 +97,7 @@
\endlinechar=13 %
\catcode123=1 % {
\catcode125=2 % }
- \catcode64=11 % @
+ \catcode95=11 % _ (replaces @ everywhere, starting with 1.06b)
\catcode35=6 % #
\catcode44=12 % ,
\catcode45=12 % -
@@ -111,10 +112,11 @@
\catcode47=12 % /
\catcode96=12 % `
}%
- \XINT@setcatcodes
+ \XINT_setcatcodes
}%
\ChangeCatcodesIfInputNotAborted
\begingroup
+ \catcode64=11 % @
\catcode91=12 % [
\catcode93=12 % ]
\catcode58=12 % : (does not really matter, was letter)
@@ -136,405 +138,400 @@
\fi
\expandafter\x\csname ver@xint.sty\endcsname
\ProvidesPackage{xint}%
- [2013/05/09 v1.06a Expandable operations on long numbers (jfB)]%
-\def\xint@gobble #1{}%
-\def\xint@gobble@ {}%
-\def\xint@gobble@i #1{}%
-\def\xint@gobble@ii #1#2{}%
-\def\xint@gobble@iii #1#2#3{}%
-\def\xint@gobble@iv #1#2#3#4{}%
-\def\xint@gobble@v #1#2#3#4#5{}%
-\def\xint@gobble@vi #1#2#3#4#5#6{}%
-\def\xint@gobble@vii #1#2#3#4#5#6#7{}%
-\def\xint@gobble@viii #1#2#3#4#5#6#7#8{}%
-\def\xint@firstoftwo #1#2{#1}%
-\def\xint@secondoftwo #1#2{#2}%
-\def\xint@firstoftwo@andstop #1#2{ #1}%
-\def\xint@secondoftwo@andstop #1#2{ #2}%
-\def\xint@exchangetwo@keepbraces@andstop #1#2{ {#2}{#1}}%
-\def\xint@minus@andstop { -}%
-\def\xint@r #1\R {}%
-\def\xint@w #1\W {}%
-\def\xint@z #1\Z {}%
-\def\xint@zero #10{}%
-\def\xint@one #11{}%
-\def\xint@minus #1-{}%
-\def\xint@relax #1\relax {}%
-\def\xint@quatrezeros #10000{}%
-\def\xint@bracedundef {\xint@undef }%
-\def\xint@UDzerofork #10\dummy #2#3\xint@UDkrof {#2}%
-\def\xint@UDsignfork #1-\dummy #2#3\xint@UDkrof {#2}%
-\def\xint@UDwfork #1\W\dummy #2#3\xint@UDkrof {#2}%
-\def\xint@UDzerosfork #100\dummy #2#3\xint@UDkrof {#2}%
-\def\xint@UDonezerofork #110\dummy #2#3\xint@UDkrof {#2}%
-\def\xint@UDzerominusfork #10-\dummy #2#3\xint@UDkrof {#2}%
-\def\xint@UDsignsfork #1--\dummy #2#3\xint@UDkrof {#2}%
-\def\xint@afterfi #1#2\fi {\fi #1}%
+ [2013/05/14 v1.06b Expandable operations on long numbers (jfB)]%
+\def\xint_gobble_ {}%
+\def\xint_gobble_i #1{}%
+\def\xint_gobble_ii #1#2{}%
+\def\xint_gobble_iii #1#2#3{}%
+\def\xint_gobble_iv #1#2#3#4{}%
+\def\xint_gobble_v #1#2#3#4#5{}%
+\def\xint_gobble_vi #1#2#3#4#5#6{}%
+\def\xint_gobble_vii #1#2#3#4#5#6#7{}%
+\def\xint_gobble_viii #1#2#3#4#5#6#7#8{}%
+\def\xint_firstoftwo #1#2{#1}%
+\def\xint_secondoftwo #1#2{#2}%
+\def\xint_firstoftwo_andstop #1#2{ #1}%
+\def\xint_secondoftwo_andstop #1#2{ #2}%
+\def\xint_exchangetwo_keepbraces_andstop #1#2{ {#2}{#1}}%
+\def\xint_minus_andstop { -}%
+\def\xint_gob_til_r #1\R {}%
+\def\xint_gob_til_w #1\W {}%
+\def\xint_gob_til_z #1\Z {}%
+\def\xint_gob_til_zero #10{}%
+\def\xint_gob_til_one #11{}%
+\def\xint_gob_til_zeros_iv #10000{}%
+\def\xint_gob_til_relax #1\relax {}%
+\def\xint_gob_til_xint_undef #1\xint_undef {}%
+\def\xint_gob_til_xint_relax #1\xint_relax {}%
+\def\xint_UDzerofork #10\dummy #2#3\krof {#2}%
+\def\xint_UDsignfork #1-\dummy #2#3\krof {#2}%
+\def\xint_UDwfork #1\W\dummy #2#3\krof {#2}%
+\def\xint_UDzerosfork #100\dummy #2#3\krof {#2}%
+\def\xint_UDonezerofork #110\dummy #2#3\krof {#2}%
+\def\xint_UDzerominusfork #10-\dummy #2#3\krof {#2}%
+\def\xint_UDsignsfork #1--\dummy #2#3\krof {#2}%
+\def\xint_afterfi #1#2\fi {\fi #1}%
+\let\xint_relax\relax
+\def\xint_braced_xint_relax {\xint_relax }%
\def\xintRev {\romannumeral0\xintrev }%
\def\xintrev #1%
{%
- \expandafter\xint@rev\expandafter {\romannumeral-`0#1}%
+ \expandafter\XINT_rev_fork
+ \romannumeral-`0#1\xint_relax % empty #1 ok
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
}%
-\def\xint@rev #1%
+\def\XINT_rev_fork #1%
{%
- \XINT@rev@fork #1\Z
+ \xint_UDsignfork
+ #1\dummy {\expandafter\xint_minus_andstop
+ \romannumeral0\XINT_rord_main {}}%
+ -\dummy {\XINT_rord_main {}#1}%
+ \krof
}%
-\def\XINT@rev@fork #1#2%
+\def\XINT_Rev {\romannumeral0\XINT_rev }%
+\def\xintReverseOrder {\romannumeral0\XINT_rev }%
+\def\XINT_rev #1%
{%
- \xint@UDsignfork
- #1\dummy \XINT@rev@negative
- -\dummy \XINT@rev@nonnegative
- \xint@UDkrof
- #1#2%
+ \XINT_rord_main {}#1%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
}%
-\def\XINT@rev@negative #1#2\Z
+\def\XINT_rord_main #1#2#3#4#5#6#7#8#9%
{%
- \expandafter\xint@minus@andstop\romannumeral0\XINT@rev {#2}%
+ \xint_gob_til_xint_undef #9\XINT_rord_cleanup\xint_undef
+ \XINT_rord_main {#9#8#7#6#5#4#3#2#1}%
}%
-\def\XINT@rev@nonnegative #1\Z
+\def\XINT_rord_cleanup\xint_undef\XINT_rord_main #1#2\xint_relax
{%
- \XINT@rev {#1}%
+ \expandafter\space\xint_gob_til_xint_relax #1%
}%
-\def\XINT@Rev {\romannumeral0\XINT@rev }%
-\let\xintReverseOrder \XINT@Rev
-\def\XINT@rev #1%
-{%
- \XINT@rord@main {}#1%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
-}%
-\def\XINT@rord@main #1#2#3#4#5#6#7#8#9%
-{%
- \XINT@strip@undef #9\XINT@rord@cleanup\xint@undef
- \XINT@rord@main {#9#8#7#6#5#4#3#2#1}%
-}%
-\def\XINT@rord@cleanup\xint@undef\XINT@rord@main #1#2\xint@UNDEF
-{%
- \expandafter\space\XINT@strip@UNDEF #1%
-}%
-\def\XINT@strip@undef #1\xint@undef {}%
-\def\XINT@strip@UNDEF #1\xint@UNDEF {}%
-\def\xintRevWithBraces {\romannumeral0\xintrevwithbraces }%
+\def\xintRevWithBraces {\romannumeral0\xintrevwithbraces }%
+\def\xintRevWithBracesNoExpand {\romannumeral0\xintrevwithbracesnoexpand }%
\def\xintrevwithbraces #1%
{%
- \expandafter\XINT@revwbr@prep\expandafter {\romannumeral-`0#1}%
+ \expandafter\XINT_revwbr_loop % #1 empty ok
+ \romannumeral-`0#1\xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z
}%
-\def\XINT@RWB {\romannumeral0\XINT@revwbr@prep }%
-\def\XINT@revwbr@prep #1%
+\def\xintrevwithbracesnoexpand #1%
{%
- \XINT@revwbr@loop
- {}#1\xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef\Z
+ \romannumeral0\XINT_revwbr_loop
+ #1\xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z
}%
-\def\XINT@revwbr@loop #1#2#3#4#5#6#7#8#9%
+\def\XINT_revwbr_loop #1#2#3#4#5#6#7#8#9%
{%
- \XINT@strip@undef #9\XINT@revwbr@finish@a\xint@undef
- \XINT@revwbr@loop {{#9}{#8}{#7}{#6}{#5}{#4}{#3}{#2}#1}%
+ \xint_gob_til_xint_relax #9\XINT_revwbr_finish_a\xint_relax
+ \XINT_revwbr_loop {{#9}{#8}{#7}{#6}{#5}{#4}{#3}{#2}#1}%
}%
-\def\XINT@revwbr@finish@a\xint@undef\XINT@revwbr@loop #1#2\Z
+\def\XINT_revwbr_finish_a\xint_relax\XINT_revwbr_loop #1#2\Z
{%
- \XINT@revwbr@finish@b #2\R\R\R\R\R\R\R\Z #1%
+ \XINT_revwbr_finish_b #2\R\R\R\R\R\R\R\Z #1%
}%
-\def\XINT@revwbr@finish@b #1#2#3#4#5#6#7#8\Z
+\def\XINT_revwbr_finish_b #1#2#3#4#5#6#7#8\Z
{%
- \xint@r #1\XINT@revwbr@finish@c 8%
- #2\XINT@revwbr@finish@c 7%
- #3\XINT@revwbr@finish@c 6%
- #4\XINT@revwbr@finish@c 5%
- #5\XINT@revwbr@finish@c 4%
- #6\XINT@revwbr@finish@c 3%
- #7\XINT@revwbr@finish@c 2%
- \R\XINT@revwbr@finish@c 1\Z
+ \xint_gob_til_r
+ #1\XINT_revwbr_finish_c 8%
+ #2\XINT_revwbr_finish_c 7%
+ #3\XINT_revwbr_finish_c 6%
+ #4\XINT_revwbr_finish_c 5%
+ #5\XINT_revwbr_finish_c 4%
+ #6\XINT_revwbr_finish_c 3%
+ #7\XINT_revwbr_finish_c 2%
+ \R\XINT_revwbr_finish_c 1\Z
}%
-\def\XINT@revwbr@finish@c #1#2\Z
+\def\XINT_revwbr_finish_c #1#2\Z
{%
\expandafter\expandafter\expandafter
\space
- \csname xint@gobble@\romannumeral #1\endcsname
+ \csname xint_gobble_\romannumeral #1\endcsname
}%
\def\xintiLen {\romannumeral0\xintilen }%
\def\xintilen #1%
{%
- \expandafter\XINT@len@prep\expandafter {\romannumeral-`0#1}%
+ \expandafter\XINT_length_fork
+ \romannumeral-`0#1\xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z
}%
\let\xintLen\xintiLen \let\xintlen\xintilen
-\def\XINT@Len {\romannumeral0\XINT@len@prep }%
-\def\XINT@len@prep #1%
+\def\XINT_Len #1%
{%
- \XINT@length@fork
- #1\xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef\Z
+ \romannumeral0\XINT_length_fork
+ #1\xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z
}%
-\def\XINT@length@fork #1%
+\def\XINT_length_fork #1%
{%
- \expandafter\XINT@length@loop
- \xint@UDsignfork
+ \expandafter\XINT_length_loop
+ \xint_UDsignfork
#1\dummy {{0}}%
-\dummy {{0}#1}%
- \xint@UDkrof
+ \krof
}%
-\def\XINT@Length {\romannumeral0\XINT@length }%
-\def\XINT@length #1%
+\def\XINT_Length {\romannumeral0\XINT_length }%
+\def\XINT_length #1%
{%
- \XINT@length@loop
- {0}#1\xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef\Z
+ \XINT_length_loop
+ {0}#1\xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z
}%
-\let\xintLength\XINT@Length
-\def\XINT@length@loop #1#2#3#4#5#6#7#8#9%
+\let\xintLength\XINT_Length
+\def\XINT_length_loop #1#2#3#4#5#6#7#8#9%
{%
- \XINT@strip@undef #9\XINT@length@finish@a\xint@undef
- \expandafter\XINT@length@loop\expandafter {\the\numexpr #1+8\relax}%
+ \xint_gob_til_xint_relax #9\XINT_length_finish_a\xint_relax
+ \expandafter\XINT_length_loop\expandafter {\the\numexpr #1+8\relax}%
}%
-\def\XINT@length@finish@a\xint@undef
- \expandafter\XINT@length@loop\expandafter #1#2\Z
+\def\XINT_length_finish_a\xint_relax
+ \expandafter\XINT_length_loop\expandafter #1#2\Z
{%
- \XINT@length@finish@b #2\W\W\W\W\W\W\W\Z {#1}%
+ \XINT_length_finish_b #2\W\W\W\W\W\W\W\Z {#1}%
}%
-\def\XINT@length@finish@b #1#2#3#4#5#6#7#8\Z
+\def\XINT_length_finish_b #1#2#3#4#5#6#7#8\Z
{%
- \xint@w #1\XINT@length@finish@c 8%
- #2\XINT@length@finish@c 7%
- #3\XINT@length@finish@c 6%
- #4\XINT@length@finish@c 5%
- #5\XINT@length@finish@c 4%
- #6\XINT@length@finish@c 3%
- #7\XINT@length@finish@c 2%
- \W\XINT@length@finish@c 1\Z
+ \xint_gob_til_w
+ #1\XINT_length_finish_c 8%
+ #2\XINT_length_finish_c 7%
+ #3\XINT_length_finish_c 6%
+ #4\XINT_length_finish_c 5%
+ #5\XINT_length_finish_c 4%
+ #6\XINT_length_finish_c 3%
+ #7\XINT_length_finish_c 2%
+ \W\XINT_length_finish_c 1\Z
}%
-\def\XINT@length@finish@c #1#2\Z #3{\expandafter\space\the\numexpr #3-#1\relax}%
+\def\XINT_length_finish_c #1#2\Z #3%
+ {\expandafter\space\the\numexpr #3-#1\relax}%
\def\xintCSVtoList {\romannumeral0\xintcsvtolist }%
\def\xintcsvtolist #1%
{%
- \expandafter\XINT@csvtol@prep\expandafter {\romannumeral-`0#1}%
+ \expandafter\XINT_csvtol_loop_a\expandafter
+ {\expandafter}\romannumeral-`0#1%
+ ,\xint_undef,\xint_undef,\xint_undef,\xint_undef
+ ,\xint_undef,\xint_undef,\xint_undef,\xint_undef,\Z
}%
-\def\XINT@CSVtoL {\romannumeral0\XINT@csvtol@prep }%
-\def\XINT@csvtol@prep #1%
+\def\XINT_csvtol_loop_a #1#2,#3,#4,#5,#6,#7,#8,#9,%
{%
- \XINT@csvtol@loop@a
- {}#1,\xint@undef,\xint@undef,\xint@undef,\xint@undef,%
- \xint@undef,\xint@undef,\xint@undef,\xint@undef,\Z
+ \xint_gob_til_xint_undef #9\XINT_csvtol_finish_a\xint_undef
+ \XINT_csvtol_loop_b {#1}{{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9}}%
}%
-\def\XINT@csvtol@loop@a #1#2,#3,#4,#5,#6,#7,#8,#9,%
+\def\XINT_csvtol_loop_b #1#2{\XINT_csvtol_loop_a {#1#2}}%
+\def\XINT_csvtol_finish_a\xint_undef\XINT_csvtol_loop_b #1#2#3\Z
{%
- \XINT@strip@undef #9\XINT@csvtol@finish@a\xint@undef
- \XINT@csvtol@loop@b {#1}{{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9}}%
+ \XINT_csvtol_finish_b #3\R,\R,\R,\R,\R,\R,\R,\Z #2{#1}%
}%
-\def\XINT@csvtol@loop@b #1#2{\XINT@csvtol@loop@a {#1#2}}%
-\def\XINT@csvtol@finish@a\xint@undef\XINT@csvtol@loop@b #1#2#3\Z
+\def\XINT_csvtol_finish_b #1,#2,#3,#4,#5,#6,#7,#8\Z
{%
- \XINT@csvtol@finish@b #3\R,\R,\R,\R,\R,\R,\R,\Z #2{#1}%
+ \xint_gob_til_r
+ #1\XINT_csvtol_finish_c 8%
+ #2\XINT_csvtol_finish_c 7%
+ #3\XINT_csvtol_finish_c 6%
+ #4\XINT_csvtol_finish_c 5%
+ #5\XINT_csvtol_finish_c 4%
+ #6\XINT_csvtol_finish_c 3%
+ #7\XINT_csvtol_finish_c 2%
+ \R\XINT_csvtol_finish_c 1\Z
}%
-\def\XINT@csvtol@finish@b #1,#2,#3,#4,#5,#6,#7,#8\Z
+\def\XINT_csvtol_finish_c #1#2\Z
{%
- \xint@r #1\XINT@csvtol@finish@c 8%
- #2\XINT@csvtol@finish@c 7%
- #3\XINT@csvtol@finish@c 6%
- #4\XINT@csvtol@finish@c 5%
- #5\XINT@csvtol@finish@c 4%
- #6\XINT@csvtol@finish@c 3%
- #7\XINT@csvtol@finish@c 2%
- \R\XINT@csvtol@finish@c 1\Z
+ \csname XINT_csvtol_finish_d\romannumeral #1\endcsname
}%
-\def\XINT@csvtol@finish@c #1#2\Z
-{%
- \csname XINT@csvtol@finish@d\romannumeral #1\endcsname
-}%
-\def\XINT@csvtol@finish@dviii #1#2#3#4#5#6#7#8#9{ #9}%
-\def\XINT@csvtol@finish@dvii #1#2#3#4#5#6#7#8#9{ #9{#1}}%
-\def\XINT@csvtol@finish@dvi #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}}%
-\def\XINT@csvtol@finish@dv #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}{#3}}%
-\def\XINT@csvtol@finish@div #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}{#3}{#4}}%
-\def\XINT@csvtol@finish@diii #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}{#3}{#4}{#5}}%
-\def\XINT@csvtol@finish@dii #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}{#3}{#4}{#5}{#6}}%
-\def\XINT@csvtol@finish@di #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}{#3}{#4}{#5}{#6}{#7}}%
+\def\XINT_csvtol_finish_dviii #1#2#3#4#5#6#7#8#9{ #9}%
+\def\XINT_csvtol_finish_dvii #1#2#3#4#5#6#7#8#9{ #9{#1}}%
+\def\XINT_csvtol_finish_dvi #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}}%
+\def\XINT_csvtol_finish_dv #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}{#3}}%
+\def\XINT_csvtol_finish_div #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}{#3}{#4}}%
+\def\XINT_csvtol_finish_diii #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}{#3}{#4}{#5}}%
+\def\XINT_csvtol_finish_dii #1#2#3#4#5#6#7#8#9{ #9{#1}{#2}{#3}{#4}{#5}{#6}}%
+\def\XINT_csvtol_finish_di #1#2#3#4#5#6#7#8#9%
+ { #9{#1}{#2}{#3}{#4}{#5}{#6}{#7}}%
\def\xintListWithSep {\romannumeral0\xintlistwithsep }%
\long\def\xintlistwithsep #1#2%
+ {\expandafter\XINT_lws\expandafter {\romannumeral-`0#2}{#1}}%
+\long\def\XINT_lws #1#2{\XINT_lws_start {#2}#1\Z }%
+\long\def\XINT_lws_start #1#2%
{%
- \expandafter\XINT@lws\expandafter {\romannumeral-`0#2}%
- {#1}%
-}%
-\long\def\XINT@LWS #1#2{\romannumeral0\XINT@lws@start {#1}#2\Z }%
-\long\def\XINT@lws #1#2%
-{%
- \XINT@lws@start {#2}#1\Z
+ \xint_gob_til_z #2\XINT_lws_dont\Z
+ \XINT_lws_loop_a {#2}{#1}%
}%
-\long\def\XINT@lws@start #1#2%
+\long\def\XINT_lws_dont\Z\XINT_lws_loop_a #1#2{ }%
+\long\def\XINT_lws_loop_a #1#2#3%
{%
- \xint@z #2\XINT@lws@dont\Z
- \XINT@lws@loop@a {#2}{#1}%
+ \xint_gob_til_z #3\XINT_lws_end\Z
+ \XINT_lws_loop_b {#1}{#2#3}{#2}%
}%
-\long\def\XINT@lws@dont\Z\XINT@lws@loop@a #1#2{ }%
-\long\def\XINT@lws@loop@a #1#2#3%
-{%
- \xint@z #3\XINT@lws@end\Z
- \XINT@lws@loop@b {#1}{#2#3}{#2}%
-}%
-\long\def\XINT@lws@loop@b #1#2{\XINT@lws@loop@a {#1#2}}%
-\long\def\XINT@lws@end\Z\XINT@lws@loop@b #1#2#3{ #1}%
-\def\xintNthElt {\romannumeral0\xintnthelt }%
+\long\def\XINT_lws_loop_b #1#2{\XINT_lws_loop_a {#1#2}}%
+\long\def\XINT_lws_end\Z\XINT_lws_loop_b #1#2#3{ #1}%
+\def\xintNthElt {\romannumeral0\xintnthelt }%
\def\xintnthelt #1#2%
{%
- \expandafter\XINT@nthelt\expandafter {\romannumeral-`0#2}%
- {\numexpr #1\relax}%
+ \expandafter\XINT_nthelt\expandafter {\romannumeral-`0#2}%
+ {\numexpr #1\relax }%
}%
-\def\XINT@NthElt #1#2{\romannumeral0\XINT@nthelt {#2}{\numexpr #1\relax}}%
-\def\XINT@nthelt #1#2%
+\def\XINT_nthelt #1#2%
{%
\ifnum #2>0
- \xint@afterfi {\XINT@nthelt@loop@a {#2}}%
+ \xint_afterfi {\XINT_nthelt_loop_a {#2}}%
\else
- \xint@afterfi {\XINT@length@loop {0}}%
- \fi #1\xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef\Z
+ \xint_afterfi {\XINT_length_loop {0}}%
+ \fi #1\xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z
}%
-\def\XINT@nthelt@loop@a #1%
+\def\XINT_nthelt_loop_a #1%
{%
\ifnum #1>8
- \expandafter\XINT@nthelt@loop@b
+ \expandafter\XINT_nthelt_loop_b
\else
- \expandafter\XINT@nthelt@getit
+ \expandafter\XINT_nthelt_getit
\fi
{#1}%
}%
-\def\XINT@nthelt@loop@b #1#2#3#4#5#6#7#8#9%
+\def\XINT_nthelt_loop_b #1#2#3#4#5#6#7#8#9%
{%
- \XINT@strip@undef #9\XINT@nthelt@silentend\xint@undef
- \expandafter\XINT@nthelt@loop@a\expandafter{\the\numexpr #1-8\relax}%
+ \xint_gob_til_xint_relax #9\XINT_nthelt_silentend\xint_relax
+ \expandafter\XINT_nthelt_loop_a\expandafter{\the\numexpr #1-8\relax}%
}%
-\def\XINT@nthelt@silentend #1\Z { }%
-\def\XINT@nthelt@getit #1%
+\def\XINT_nthelt_silentend #1\Z { }%
+\def\XINT_nthelt_getit #1%
{%
- \expandafter\expandafter\expandafter\XINT@nthelt@finish
- \csname xint@gobble@\romannumeral\numexpr#1-1\endcsname
+ \expandafter\expandafter\expandafter\XINT_nthelt_finish
+ \csname xint_gobble_\romannumeral\numexpr#1-1\endcsname
}%
-\def\XINT@nthelt@finish #1#2\Z
+\def\XINT_nthelt_finish #1#2\Z
{%
- \xint@UDwfork
+ \xint_UDwfork
#1\dummy { }%
\W\dummy { #1}%
- \xint@UDkrof
+ \krof
}%
-\def\xintApply {\romannumeral0\xintapply }%
+\def\xintApply {\romannumeral0\xintapply }%
\def\xintapply #1#2%
{%
- \expandafter\XINT@apply\expandafter {\romannumeral-`0#2}%
+ \expandafter\XINT_apply\expandafter {\romannumeral-`0#2}%
{#1}%
}%
-\def\XINT@Apply #1#2{\romannumeral0\XINT@apply@loop@a {}{#1}#2\Z }%
-\def\XINT@apply #1#2%
+\def\XINT_apply #1#2{\XINT_apply_loop_a {}{#2}#1\Z }%
+\def\XINT_apply_loop_a #1#2#3%
{%
- \XINT@apply@loop@a {}{#2}#1\Z
+ \xint_gob_til_z #3\XINT_apply_end\Z
+ \expandafter
+ \XINT_apply_loop_b
+ \expandafter {\romannumeral-`0#2{#3}}{#1}{#2}%
}%
-\def\XINT@apply@loop@a #1#2#3%
+\def\XINT_apply_loop_b #1#2{\XINT_apply_loop_a {#2{#1}}}%
+\def\XINT_apply_end\Z\expandafter\XINT_apply_loop_b\expandafter #1#2#3{ #2}%
+\def\xintApplyUnbraced {\romannumeral0\xintapplyunbraced }%
+\def\xintapplyunbraced #1#2%
{%
- \xint@z #3\XINT@apply@end\Z
- \expandafter
- \XINT@apply@loop@b
+ \expandafter\XINT_applyunbr\expandafter {\romannumeral-`0#2}%
+ {#1}%
+}%
+\def\XINT_applyunbr #1#2{\XINT_applyunbr_loop_a {}{#2}#1\Z }%
+\def\XINT_applyunbr_loop_a #1#2#3%
+{%
+ \xint_gob_til_z #3\XINT_applyunbr_end\Z
+ \expandafter\XINT_applyunbr_loop_b
\expandafter {\romannumeral-`0#2{#3}}{#1}{#2}%
}%
-\def\XINT@apply@loop@b #1#2{\XINT@apply@loop@a {#2{#1}}}%
-\def\XINT@apply@end\Z\expandafter\XINT@apply@loop@b\expandafter #1#2#3{ #2}%
+\def\XINT_applyunbr_loop_b #1#2{\XINT_applyunbr_loop_a {#2#1}}%
+\def\XINT_applyunbr_end\Z
+ \expandafter\XINT_applyunbr_loop_b\expandafter #1#2#3{ #2}%
\def\xintAssign #1\to
{%
- \expandafter\XINT@assign@a\romannumeral-`0#1{}\to
+ \expandafter\XINT_assign_a\romannumeral-`0#1{}\to
}%
-\def\XINT@assign@a #1% attention to the # at the beginning of next line
+\def\XINT_assign_a #1% attention to the # at the beginning of next line
#{%
- \def\xint@temp {#1}%
- \ifx\empty\xint@temp
- \expandafter\XINT@assign@b
+ \def\xint_temp {#1}%
+ \ifx\empty\xint_temp
+ \expandafter\XINT_assign_b
\else
- \expandafter\XINT@assign@B
+ \expandafter\XINT_assign_B
\fi
}%
-\def\XINT@assign@b #1#2\to #3%
+\def\XINT_assign_b #1#2\to #3%
{%
- \edef #3{#1}\def\xint@temp {#2}%
- \ifx\empty\xint@temp
+ \edef #3{#1}\def\xint_temp {#2}%
+ \ifx\empty\xint_temp
\else
- \xint@afterfi{\XINT@assign@a #2\to }%
+ \xint_afterfi{\XINT_assign_a #2\to }%
\fi
}%
-\def\XINT@assign@B #1\to #2%
+\def\XINT_assign_B #1\to #2%
{%
- \edef #2{\xint@temp}%
+ \edef #2{\xint_temp}%
}%
\def\xintRelaxArray #1%
{%
- \edef\XINT@restoreescapechar {\escapechar\the\escapechar\relax}%
+ \edef\XINT_restoreescapechar {\escapechar\the\escapechar\relax}%
\escapechar -1
- \edef\xint@arrayname {\string #1}%
- \XINT@restoreescapechar
- \expandafter\let\expandafter\xint@temp
- \csname\xint@arrayname 0\endcsname
+ \edef\xint_arrayname {\string #1}%
+ \XINT_restoreescapechar
+ \expandafter\let\expandafter\xint_temp
+ \csname\xint_arrayname 0\endcsname
\count 255 0
\loop
\global\expandafter\let
- \csname\xint@arrayname\the\count255\endcsname\relax
- \ifnum \count 255 < \xint@temp
+ \csname\xint_arrayname\the\count255\endcsname\relax
+ \ifnum \count 255 < \xint_temp
\advance\count 255 1
\repeat
- \global\expandafter\let\csname\xint@arrayname 00\endcsname\relax
+ \global\expandafter\let\csname\xint_arrayname 00\endcsname\relax
\global\let #1\relax
}%
-\def\xintAssignArray #1\to #2%
+\def\xintAssignArray #1\to #2% 1.06b: #1 may now be empty
{%
- \edef\XINT@restoreescapechar {\escapechar\the\escapechar\relax}%
+ \edef\XINT_restoreescapechar {\escapechar\the\escapechar\relax }%
\escapechar -1
- \edef\xint@arrayname {\string #2}% NOT #1! (amazing typo undetected during ages)
- \XINT@restoreescapechar
+ \edef\xint_arrayname {\string #2}%
+ \XINT_restoreescapechar
\count 255 0
- \expandafter
- \XINT@assignarray@loop \romannumeral-`0#1\xint@undef
- \csname\xint@arrayname 00\endcsname
- \csname\xint@arrayname 0\endcsname
- {\xint@arrayname}%
+ \expandafter\XINT_assignarray_loop \romannumeral-`0#1\xint_relax
+ \csname\xint_arrayname 00\endcsname
+ \csname\xint_arrayname 0\endcsname
+ {\xint_arrayname}%
#2%
}%
-\def\XINT@assignarray@loop #1%
+\def\XINT_assignarray_loop #1%
{%
- \def\xint@temp {#1}%
- \ifx\xint@bracedundef\xint@temp
- \edef\xint@temp{\the\count 255 }%
- \expandafter\let\csname\xint@arrayname0\endcsname\xint@temp
- \expandafter\XINT@assignarray@end
+ \def\xint_temp {#1}%
+ \ifx\xint_braced_xint_relax\xint_temp
+ \expandafter\edef\csname\xint_arrayname 0\endcsname{\the\count 255 }%
+ \expandafter\expandafter\expandafter\XINT_assignarray_end_a
\else
\advance\count 255 1
\expandafter\edef
- \csname\xint@arrayname\the\count 255\endcsname{\xint@temp}%
- \expandafter\XINT@assignarray@loop
+ \csname\xint_arrayname\the\count 255\endcsname{\xint_temp }%
+ \expandafter\XINT_assignarray_loop
\fi
}%
-\def\XINT@assignarray@end {\expandafter\XINT@assignarray@@end }%
-\def\XINT@assignarray@@end #1%
+\def\XINT_assignarray_end_a #1%
{%
- \expandafter\XINT@assignarray@@@end\expandafter #1%
+ \expandafter\XINT_assignarray_end_b\expandafter #1%
}%
-\def\XINT@assignarray@@@end #1#2#3%
+\def\XINT_assignarray_end_b #1#2#3%
{%
- \expandafter\XINT@assignarray@@@@end
- \expandafter #1\expandafter #2\expandafter{#3}%
+ \expandafter\XINT_assignarray_end_c
+ \expandafter #1\expandafter #2\expandafter {#3}%
}%
-\def\XINT@assignarray@@@@end #1#2#3#4%
+\def\XINT_assignarray_end_c #1#2#3#4%
{%
\def #4##1%
{%
- \romannumeral0%
- \expandafter #1\expandafter{\the\numexpr ##1}%
+ \romannumeral0\expandafter #1\expandafter{\the\numexpr ##1}%
}%
\def #1##1%
{%
\ifnum ##1< 0
- \xint@afterfi {\xintError:ArrayIndexIsNegative\space 0}%
+ \xint_afterfi {\xintError:ArrayIndexIsNegative\space 0}%
\else
- \xint@afterfi {%
+ \xint_afterfi {%
\ifnum ##1> #2
- \xint@afterfi {\xintError:ArrayIndexBeyondLimit\space 0}%
+ \xint_afterfi {\xintError:ArrayIndexBeyondLimit\space 0}%
\else
- \xint@afterfi
+ \xint_afterfi
{\expandafter\expandafter\expandafter
\space\csname #3##1\endcsname}%
\fi}%
@@ -542,1499 +539,1522 @@
}%
}%
\let\xintDigitsOf\xintAssignArray
-\def\XINT@RQ #1#2#3#4#5#6#7#8#9%
+\def\XINT_RQ #1#2#3#4#5#6#7#8#9%
{%
- \xint@r #9\XINT@RQ@end\R\XINT@RQ {#9#8#7#6#5#4#3#2#1}%
+ \xint_gob_til_r #9\XINT_RQ_end_a\R\XINT_RQ {#9#8#7#6#5#4#3#2#1}%
}%
-\def\XINT@RQ@end\R\XINT@RQ #1#2\Z
+\def\XINT_RQ_end_a\R\XINT_RQ #1#2\Z
{%
- \XINT@RQ@end@ #1\Z
+ \XINT_RQ_end_b #1\Z
}%
-\def\XINT@RQ@end@ #1#2#3#4#5#6#7#8%
+\def\XINT_RQ_end_b #1#2#3#4#5#6#7#8%
{%
- \xint@r #8\XINT@RQ@end@viii
- #7\XINT@RQ@end@vii
- #6\XINT@RQ@end@vi
- #5\XINT@RQ@end@v
- #4\XINT@RQ@end@iv
- #3\XINT@RQ@end@iii
- #2\XINT@RQ@end@ii
- \R\XINT@RQ@end@i
+ \xint_gob_til_r
+ #8\XINT_RQ_end_viii
+ #7\XINT_RQ_end_vii
+ #6\XINT_RQ_end_vi
+ #5\XINT_RQ_end_v
+ #4\XINT_RQ_end_iv
+ #3\XINT_RQ_end_iii
+ #2\XINT_RQ_end_ii
+ \R\XINT_RQ_end_i
\Z #2#3#4#5#6#7#8%
}%
-\def\XINT@RQ@end@viii #1\Z #2#3#4#5#6#7#8#9\Z { #9}%
-\def\XINT@RQ@end@vii #1\Z #2#3#4#5#6#7#8#9\Z { #8#9000}%
-\def\XINT@RQ@end@vi #1\Z #2#3#4#5#6#7#8#9\Z { #7#8#900}%
-\def\XINT@RQ@end@v #1\Z #2#3#4#5#6#7#8#9\Z { #6#7#8#90}%
-\def\XINT@RQ@end@iv #1\Z #2#3#4#5#6#7#8#9\Z { #5#6#7#8#9}%
-\def\XINT@RQ@end@iii #1\Z #2#3#4#5#6#7#8#9\Z { #4#5#6#7#8#9000}%
-\def\XINT@RQ@end@ii #1\Z #2#3#4#5#6#7#8#9\Z { #3#4#5#6#7#8#900}%
-\def\XINT@RQ@end@i \Z #1#2#3#4#5#6#7#8\Z { #1#2#3#4#5#6#7#80}%
-\def\xint@cleanupzeros@andstop #1#2#3#4%
+\def\XINT_RQ_end_viii #1\Z #2#3#4#5#6#7#8#9\Z { #9}%
+\def\XINT_RQ_end_vii #1\Z #2#3#4#5#6#7#8#9\Z { #8#9000}%
+\def\XINT_RQ_end_vi #1\Z #2#3#4#5#6#7#8#9\Z { #7#8#900}%
+\def\XINT_RQ_end_v #1\Z #2#3#4#5#6#7#8#9\Z { #6#7#8#90}%
+\def\XINT_RQ_end_iv #1\Z #2#3#4#5#6#7#8#9\Z { #5#6#7#8#9}%
+\def\XINT_RQ_end_iii #1\Z #2#3#4#5#6#7#8#9\Z { #4#5#6#7#8#9000}%
+\def\XINT_RQ_end_ii #1\Z #2#3#4#5#6#7#8#9\Z { #3#4#5#6#7#8#900}%
+\def\XINT_RQ_end_i \Z #1#2#3#4#5#6#7#8\Z { #1#2#3#4#5#6#7#80}%
+\def\xint_cleanupzeros_andstop #1#2#3#4%
{%
\expandafter\space\the\numexpr #1#2#3#4\relax
}%
-\def\xint@cleanupzeros@nospace #1#2#3#4%
+\def\xint_cleanupzeros_nospace #1#2#3#4%
{%
\the\numexpr #1#2#3#4\relax
}%
-\def\XINT@rev@andcuz #1%
+\def\XINT_rev_andcuz #1%
{%
- \expandafter\xint@cleanupzeros@andstop
- \romannumeral0\XINT@rord@main {}#1%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \expandafter\xint_cleanupzeros_andstop
+ \romannumeral0\XINT_rord_main {}#1%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
}%
-\def\XINT@cuz #1%
+\def\XINT_cuz #1%
{%
- \XINT@cuz@loop #1\W\W\W\W\W\W\W\Z%
+ \XINT_cuz_loop #1\W\W\W\W\W\W\W\Z%
}%
-\def\XINT@cuz@loop #1#2#3#4#5#6#7#8%
+\def\XINT_cuz_loop #1#2#3#4#5#6#7#8%
{%
- \xint@w #8\xint@cuz@enda\W
- \xint@z #8\xint@cuz@endb\Z
- \XINT@cuz@checka {#1#2#3#4#5#6#7#8}%
+ \xint_gob_til_w #8\xint_cuz_end_a\W
+ \xint_gob_til_z #8\xint_cuz_end_A\Z
+ \XINT_cuz_check_a {#1#2#3#4#5#6#7#8}%
}%
-\def\xint@cuz@enda #1\XINT@cuz@checka #2%
+\def\xint_cuz_end_a #1\XINT_cuz_check_a #2%
{%
- \xint@cuz@endaa #2%
+ \xint_cuz_end_b #2%
}%
-\def\xint@cuz@endaa #1#2#3#4#5\Z
+\def\xint_cuz_end_b #1#2#3#4#5\Z
{%
\expandafter\space\the\numexpr #1#2#3#4\relax
}%
-\def\xint@cuz@endb\Z\XINT@cuz@checka #1{ 0}%
-\def\XINT@cuz@checka #1%
+\def\xint_cuz_end_A \Z\XINT_cuz_check_a #1{ 0}%
+\def\XINT_cuz_check_a #1%
{%
- \expandafter \XINT@cuz@checkb \the\numexpr #1\relax
+ \expandafter\XINT_cuz_check_b\the\numexpr #1\relax
}%
-\def\XINT@cuz@checkb #1%
+\def\XINT_cuz_check_b #1%
{%
- \xint@zero #1\xint@cuz@backtoloop 0\XINT@cuz@Stop #1%
+ \xint_gob_til_zero #1\xint_cuz_backtoloop 0\XINT_cuz_stop #1%
}%
-\def\XINT@cuz@Stop #1\W #2\Z{ #1}%
-\def\xint@cuz@backtoloop 0\XINT@cuz@Stop 0{\XINT@cuz@loop }%
-\def\XINT@isOne #1{\romannumeral0\XINT@isone #1\W\Z }%
-\def\XINT@isone #1#2%
+\def\XINT_cuz_stop #1\W #2\Z{ #1}%
+\def\xint_cuz_backtoloop 0\XINT_cuz_stop 0{\XINT_cuz_loop }%
+\def\XINT_isOne #1{\romannumeral0\XINT_isone #1\W\Z }%
+\def\XINT_isone #1#2%
{%
- \xint@one #1\XINT@isone@b 1\expandafter\space\expandafter 0\xint@z #2%
+ \xint_gob_til_one #1\XINT_isone_b 1%
+ \expandafter\space\expandafter 0\xint_gob_til_z #2%
}%
-\def\XINT@isone@b #1\xint@z #2%
+\def\XINT_isone_b #1\xint_gob_til_z #2%
{%
- \xint@w #2\XINT@isone@yes\W\expandafter\space\expandafter 0\xint@z
+ \xint_gob_til_w #2\XINT_isone_yes \W
+ \expandafter\space\expandafter 0\xint_gob_til_z
}%
-\def\XINT@isone@yes #1\Z{ 1}%
+\def\XINT_isone_yes #1\Z { 1}%
\def\xintiNum {\romannumeral0\xintinum }%
\def\xintinum #1%
{%
- \expandafter\XINT@num\expandafter {\romannumeral-`0#1}%
+ \expandafter\XINT_num_loop
+ \romannumeral-`0#1\xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z
}%
\let\xintNum\xintiNum \let\xintnum\xintinum
-\def\XINT@Num {\romannumeral0\XINT@num }%
-\def\XINT@num #1{\XINT@num@loop #1\R\R\R\R\R\R\R\R\Z }%
-\def\XINT@num@loop #1#2#3#4#5#6#7#8%
+\def\XINT_num #1%
{%
- \xint@r #8\XINT@num@end\R\XINT@num@NumEight #1#2#3#4#5#6#7#8%
+ \XINT_num_loop #1\xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z
}%
-\def\XINT@num@end\R\XINT@num@NumEight #1\R #2\Z
+\def\XINT_num_loop #1#2#3#4#5#6#7#8%
+{%
+ \xint_gob_til_xint_relax #8\XINT_num_end\xint_relax
+ \XINT_num_NumEight #1#2#3#4#5#6#7#8%
+}%
+\def\XINT_num_end\xint_relax\XINT_num_NumEight #1\xint_relax #2\Z
{%
\expandafter\space\the\numexpr #1+0\relax
}%
-\def\XINT@num@NumEight #1#2#3#4#5#6#7#8%
+\def\XINT_num_NumEight #1#2#3#4#5#6#7#8%
{%
- \ifnum \numexpr #1#2#3#4#5#6#7#8+0\relax = 0
- \xint@afterfi {\expandafter\XINT@num@keepsign@a
+ \ifnum \numexpr #1#2#3#4#5#6#7#8+0= 0
+ \xint_afterfi {\expandafter\XINT_num_keepsign_a
\the\numexpr #1#2#3#4#5#6#7#81\relax}%
\else
- \xint@afterfi {\expandafter\XINT@num@finish
+ \xint_afterfi {\expandafter\XINT_num_finish
\the\numexpr #1#2#3#4#5#6#7#8\relax}%
\fi
}%
-\def\XINT@num@keepsign@a #1%
+\def\XINT_num_keepsign_a #1%
{%
- \xint@one#1\XINT@num@gobacktoloop 1\XINT@num@keepsign@b
+ \xint_gob_til_one#1\XINT_num_gobacktoloop 1\XINT_num_keepsign_b
}%
-\def\XINT@num@gobacktoloop 1\XINT@num@keepsign@b {\XINT@num@loop }%
-\def\XINT@num@keepsign@b #1{\XINT@num@loop -}%
-\def\XINT@num@finish #1\R #2\Z { #1}%
+\def\XINT_num_gobacktoloop 1\XINT_num_keepsign_b {\XINT_num_loop }%
+\def\XINT_num_keepsign_b #1{\XINT_num_loop -}%
+\def\XINT_num_finish #1\xint_relax #2\Z { #1}%
\def\xintiSgn {\romannumeral0\xintisgn }%
\def\xintisgn #1%
{%
- \expandafter\XINT@sgn \romannumeral-`0#1\Z%
+ \expandafter\XINT_sgn \romannumeral-`0#1\Z%
}%
\let\xintSgn\xintiSgn \let\xintsgn\xintisgn
-\def\XINT@Sgn #1{\romannumeral0\XINT@sgn #1\Z }%
-\def\XINT@sgn #1#2\Z
+\def\XINT_Sgn #1{\romannumeral0\XINT_sgn #1\Z }%
+\def\XINT_sgn #1#2\Z
{%
- \xint@UDzerominusfork
+ \xint_UDzerominusfork
#1-\dummy { 0}%
0#1\dummy { -1}%
0-\dummy { 1}%
- \xint@UDkrof
+ \krof
}%
\def\xintiOpp {\romannumeral0\xintiopp }%
\def\xintiopp #1%
{%
- \expandafter\XINT@opp \romannumeral-`0#1%
+ \expandafter\XINT_opp \romannumeral-`0#1%
}%
\let\xintOpp\xintiOpp \let\xintopp\xintiopp
-\def\XINT@Opp #1{\romannumeral0\XINT@opp #1}%
-\def\XINT@opp #1%
+\def\XINT_Opp #1{\romannumeral0\XINT_opp #1}%
+\def\XINT_opp #1%
{%
- \xint@UDzerominusfork
+ \xint_UDzerominusfork
#1-\dummy { 0}% zero
0#1\dummy { }% negative
0-\dummy { -#1}% positive
- \xint@UDkrof
+ \krof
}%
\def\xintiAbs {\romannumeral0\xintiabs }%
\def\xintiabs #1%
{%
- \expandafter\XINT@abs \romannumeral-`0#1%
+ \expandafter\XINT_abs \romannumeral-`0#1%
}%
\let\xintAbs\xintiAbs \let\xintabs\xintiabs
-\def\XINT@Abs #1{\romannumeral0\XINT@abs #1}%
-\def\XINT@abs #1%
+\def\XINT_Abs #1{\romannumeral0\XINT_abs #1}%
+\def\XINT_abs #1%
{%
- \xint@UDsignfork
+ \xint_UDsignfork
#1\dummy { }%
-\dummy { #1}%
- \xint@UDkrof
+ \krof
}%
-\def\XINT@add@A #1#2#3#4#5#6%
+\def\XINT_add_A #1#2#3#4#5#6%
{%
- \xint@w #3\xint@add@az\W\XINT@add@AB #1{#3#4#5#6}{#2}%
+ \xint_gob_til_w #3\xint_add_az\W
+ \XINT_add_AB #1{#3#4#5#6}{#2}%
}%
-\def\xint@add@az\W\XINT@add@AB #1#2%
+\def\xint_add_az\W\XINT_add_AB #1#2%
{%
- \XINT@add@AC@checkcarry #1%
+ \XINT_add_AC_checkcarry #1%
}%
-\def\XINT@add@AB #1#2#3#4\W\X\Y\Z #5#6#7#8%
+\def\XINT_add_AB #1#2#3#4\W\X\Y\Z #5#6#7#8%
{%
- \xint@w #5\xint@add@bz\W
- \XINT@add@ABE #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
+ \xint_gob_til_w #5\xint_add_bz\W
+ \XINT_add_ABE #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
}%
-\def\XINT@add@ABE #1#2#3#4#5#6%
+\def\XINT_add_ABE #1#2#3#4#5#6%
{%
- \expandafter\XINT@add@ABEA\the\numexpr #1+10#5#4#3#2+#6\relax.%
+ \expandafter\XINT_add_ABEA\the\numexpr #1+10#5#4#3#2+#6\relax.%
}%
-\def\XINT@add@ABEA #1#2#3.#4%
+\def\XINT_add_ABEA #1#2#3.#4%
{%
- \XINT@add@A #2{#3#4}%
+ \XINT_add_A #2{#3#4}%
}%
-\def\xint@add@bz\W\XINT@add@ABE #1#2#3#4#5#6%
+\def\xint_add_bz\W\XINT_add_ABE #1#2#3#4#5#6%
{%
- \expandafter\XINT@add@CC\the\numexpr #1+10#5#4#3#2\relax.%
+ \expandafter\XINT_add_CC\the\numexpr #1+10#5#4#3#2\relax.%
}%
-\def\XINT@add@CC #1#2#3.#4%
+\def\XINT_add_CC #1#2#3.#4%
{%
- \XINT@add@AC@checkcarry #2{#3#4}% on va examiner et \'eliminer #2
+ \XINT_add_AC_checkcarry #2{#3#4}% on va examiner et \'eliminer #2
}%
-\def\XINT@add@AC@checkcarry #1%
+\def\XINT_add_AC_checkcarry #1%
{%
- \xint@zero #1\xint@add@AC@nocarry 0\XINT@add@C
+ \xint_gob_til_zero #1\xint_add_AC_nocarry 0\XINT_add_C
}%
-\def\xint@add@AC@nocarry 0\XINT@add@C #1#2\W\X\Y\Z
+\def\xint_add_AC_nocarry 0\XINT_add_C #1#2\W\X\Y\Z
{%
\expandafter
- \xint@cleanupzeros@andstop
+ \xint_cleanupzeros_andstop
\romannumeral0%
- \XINT@rord@main {}#2%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#2%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
#1%
}%
-\def\XINT@add@C #1#2#3#4#5%
+\def\XINT_add_C #1#2#3#4#5%
{%
- \xint@w #2\xint@add@cz\W\XINT@add@CD {#5#4#3#2}{#1}%q
+ \xint_gob_til_w #2\xint_add_cz\W
+ \XINT_add_CD {#5#4#3#2}{#1}%
}%
-\def\XINT@add@CD #1%
+\def\XINT_add_CD #1%
{%
- \expandafter\XINT@add@CC\the\numexpr 1+10#1\relax.%
+ \expandafter\XINT_add_CC\the\numexpr 1+10#1\relax.%
}%
-\def\xint@add@cz\W\XINT@add@CD #1#2{ 1#2}%
-\def\XINT@addr@A #1#2#3#4#5#6%
+\def\xint_add_cz\W\XINT_add_CD #1#2{ 1#2}%
+\def\XINT_addr_A #1#2#3#4#5#6%
{%
- \xint@w #3\xint@addr@az\W\XINT@addr@B #1{#3#4#5#6}{#2}%
+ \xint_gob_til_w #3\xint_addr_az\W
+ \XINT_addr_B #1{#3#4#5#6}{#2}%
}%
-\def\xint@addr@az\W\XINT@addr@B #1#2%
+\def\xint_addr_az\W\XINT_addr_B #1#2%
{%
- \XINT@addr@AC@checkcarry #1%
+ \XINT_addr_AC_checkcarry #1%
}%
-\def\XINT@addr@B #1#2#3#4\W\X\Y\Z #5#6#7#8%
+\def\XINT_addr_B #1#2#3#4\W\X\Y\Z #5#6#7#8%
{%
- \xint@w #5\xint@addr@bz\W\XINT@addr@E #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
+ \xint_gob_til_w #5\xint_addr_bz\W
+ \XINT_addr_E #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
}%
-\def\XINT@addr@E #1#2#3#4#5#6%
+\def\XINT_addr_E #1#2#3#4#5#6%
{%
- \expandafter\XINT@addr@ABEA\the\numexpr #1+10#5#4#3#2+#6\relax
+ \expandafter\XINT_addr_ABEA\the\numexpr #1+10#5#4#3#2+#6\relax
}%
-\def\XINT@addr@ABEA #1#2#3#4#5#6#7%
+\def\XINT_addr_ABEA #1#2#3#4#5#6#7%
{%
- \XINT@addr@A #2{#7#6#5#4#3}%
+ \XINT_addr_A #2{#7#6#5#4#3}%
}%
-\def\xint@addr@bz\W\XINT@addr@E #1#2#3#4#5#6%
+\def\xint_addr_bz\W\XINT_addr_E #1#2#3#4#5#6%
{%
- \expandafter\XINT@addr@CC\the\numexpr #1+10#5#4#3#2\relax
+ \expandafter\XINT_addr_CC\the\numexpr #1+10#5#4#3#2\relax
}%
-\def\XINT@addr@CC #1#2#3#4#5#6#7%
+\def\XINT_addr_CC #1#2#3#4#5#6#7%
{%
- \XINT@addr@AC@checkcarry #2{#7#6#5#4#3}%
+ \XINT_addr_AC_checkcarry #2{#7#6#5#4#3}%
}%
-\def\XINT@addr@AC@checkcarry #1%
+\def\XINT_addr_AC_checkcarry #1%
{%
- \xint@zero #1\xint@addr@AC@nocarry 0\XINT@addr@C
+ \xint_gob_til_zero #1\xint_addr_AC_nocarry 0\XINT_addr_C
}%
-\def\xint@addr@AC@nocarry 0\XINT@addr@C #1#2\W\X\Y\Z { #1#2}%
-\def\XINT@addr@C #1#2#3#4#5%
+\def\xint_addr_AC_nocarry 0\XINT_addr_C #1#2\W\X\Y\Z { #1#2}%
+\def\XINT_addr_C #1#2#3#4#5%
{%
- \xint@w #2\xint@addr@cz\W\XINT@addr@D {#5#4#3#2}{#1}%
+ \xint_gob_til_w #2\xint_addr_cz\W
+ \XINT_addr_D {#5#4#3#2}{#1}%
}%
-\def\XINT@addr@D #1%
+\def\XINT_addr_D #1%
{%
- \expandafter\XINT@addr@CC\the\numexpr 1+10#1\relax
+ \expandafter\XINT_addr_CC\the\numexpr 1+10#1\relax
}%
-\def\xint@addr@cz\W\XINT@addr@D #1#2{ #21000}%
-\def\XINT@addm@A #1#2#3#4#5#6%
+\def\xint_addr_cz\W\XINT_addr_D #1#2{ #21000}%
+\def\XINT_addm_A #1#2#3#4#5#6%
{%
- \xint@w #3\xint@addm@az\W\XINT@addm@AB #1{#3#4#5#6}{#2}%
+ \xint_gob_til_w #3\xint_addm_az\W
+ \XINT_addm_AB #1{#3#4#5#6}{#2}%
}%
-\def\xint@addm@az\W\XINT@addm@AB #1#2%
+\def\xint_addm_az\W\XINT_addm_AB #1#2%
{%
- \XINT@addm@AC@checkcarry #1%
+ \XINT_addm_AC_checkcarry #1%
}%
-\def\XINT@addm@AB #1#2#3#4\W\X\Y\Z #5#6#7#8%
+\def\XINT_addm_AB #1#2#3#4\W\X\Y\Z #5#6#7#8%
{%
- \XINT@addm@ABE #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
+ \XINT_addm_ABE #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
}%
-\def\XINT@addm@ABE #1#2#3#4#5#6%
+\def\XINT_addm_ABE #1#2#3#4#5#6%
{%
- \expandafter\XINT@addm@ABEA\the\numexpr #1+10#5#4#3#2+#6\relax.%
+ \expandafter\XINT_addm_ABEA\the\numexpr #1+10#5#4#3#2+#6\relax.%
}%
-\def\XINT@addm@ABEA #1#2#3.#4%
+\def\XINT_addm_ABEA #1#2#3.#4%
{%
- \XINT@addm@A #2{#3#4}%
+ \XINT_addm_A #2{#3#4}%
}%
-\def\XINT@addm@AC@checkcarry #1%
+\def\XINT_addm_AC_checkcarry #1%
{%
- \xint@zero #1\xint@addm@AC@nocarry 0\XINT@addm@C
+ \xint_gob_til_zero #1\xint_addm_AC_nocarry 0\XINT_addm_C
}%
-\def\xint@addm@AC@nocarry 0\XINT@addm@C #1#2\W\X\Y\Z
+\def\xint_addm_AC_nocarry 0\XINT_addm_C #1#2\W\X\Y\Z
{%
\expandafter
- \xint@cleanupzeros@andstop
+ \xint_cleanupzeros_andstop
\romannumeral0%
- \XINT@rord@main {}#2%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#2%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
#1%
}%
-\def\XINT@addm@C #1#2#3#4#5%
+\def\XINT_addm_C #1#2#3#4#5%
{%
- \xint@w
- #5\xint@addm@cw
- #4\xint@addm@cx
- #3\xint@addm@cy
- #2\xint@addm@cz
- \W\XINT@addm@CD {#5#4#3#2}{#1}%
+ \xint_gob_til_w
+ #5\xint_addm_cw
+ #4\xint_addm_cx
+ #3\xint_addm_cy
+ #2\xint_addm_cz
+ \W\XINT_addm_CD {#5#4#3#2}{#1}%
}%
-\def\XINT@addm@CD #1%
+\def\XINT_addm_CD #1%
{%
- \expandafter\XINT@addm@CC\the\numexpr 1+10#1\relax.%
+ \expandafter\XINT_addm_CC\the\numexpr 1+10#1\relax.%
}%
-\def\XINT@addm@CC #1#2#3.#4%
+\def\XINT_addm_CC #1#2#3.#4%
{%
- \XINT@addm@AC@checkcarry #2{#3#4}%
+ \XINT_addm_AC_checkcarry #2{#3#4}%
}%
-\def\xint@addm@cw
- #1\xint@addm@cx
- #2\xint@addm@cy
- #3\xint@addm@cz
- \W\XINT@addm@CD
+\def\xint_addm_cw
+ #1\xint_addm_cx
+ #2\xint_addm_cy
+ #3\xint_addm_cz
+ \W\XINT_addm_CD
{%
- \expandafter\XINT@addm@CDw\the\numexpr 1+#1#2#3\relax.%
+ \expandafter\XINT_addm_CDw\the\numexpr 1+#1#2#3\relax.%
}%
-\def\XINT@addm@CDw #1.#2#3\X\Y\Z
+\def\XINT_addm_CDw #1.#2#3\X\Y\Z
{%
- \XINT@addm@end #1#3%
+ \XINT_addm_end #1#3%
}%
-\def\xint@addm@cx
- #1\xint@addm@cy
- #2\xint@addm@cz
- \W\XINT@addm@CD
+\def\xint_addm_cx
+ #1\xint_addm_cy
+ #2\xint_addm_cz
+ \W\XINT_addm_CD
{%
- \expandafter\XINT@addm@CDx\the\numexpr 1+#1#2\relax.%
+ \expandafter\XINT_addm_CDx\the\numexpr 1+#1#2\relax.%
}%
-\def\XINT@addm@CDx #1.#2#3\Y\Z
+\def\XINT_addm_CDx #1.#2#3\Y\Z
{%
- \XINT@addm@end #1#3%
+ \XINT_addm_end #1#3%
}%
-\def\xint@addm@cy
- #1\xint@addm@cz
- \W\XINT@addm@CD
+\def\xint_addm_cy
+ #1\xint_addm_cz
+ \W\XINT_addm_CD
{%
- \expandafter\XINT@addm@CDy\the\numexpr 1+#1\relax.%
+ \expandafter\XINT_addm_CDy\the\numexpr 1+#1\relax.%
}%
-\def\XINT@addm@CDy #1.#2#3\Z
+\def\XINT_addm_CDy #1.#2#3\Z
{%
- \XINT@addm@end #1#3%
+ \XINT_addm_end #1#3%
}%
-\def\xint@addm@cz\W\XINT@addm@CD #1#2#3{\XINT@addm@end #1#3}%
-\def\XINT@addm@end #1#2#3#4#5%
+\def\xint_addm_cz\W\XINT_addm_CD #1#2#3{\XINT_addm_end #1#3}%
+\def\XINT_addm_end #1#2#3#4#5%
{\expandafter\space\the\numexpr #1#2#3#4#5\relax}%
-\def\XINT@addp@A #1#2#3#4#5#6%
+\def\XINT_addp_A #1#2#3#4#5#6%
{%
- \xint@w #3\xint@addp@az\W\XINT@addp@AB #1{#3#4#5#6}{#2}%
+ \xint_gob_til_w #3\xint_addp_az\W
+ \XINT_addp_AB #1{#3#4#5#6}{#2}%
}%
-\def\xint@addp@az\W\XINT@addp@AB #1#2%
+\def\xint_addp_az\W\XINT_addp_AB #1#2%
{%
- \XINT@addp@AC@checkcarry #1%
+ \XINT_addp_AC_checkcarry #1%
}%
-\def\XINT@addp@AC@checkcarry #1%
+\def\XINT_addp_AC_checkcarry #1%
{%
- \xint@zero #1\xint@addp@AC@nocarry 0\XINT@addp@C
+ \xint_gob_til_zero #1\xint_addp_AC_nocarry 0\XINT_addp_C
}%
-\def\xint@addp@AC@nocarry 0\XINT@addp@C
+\def\xint_addp_AC_nocarry 0\XINT_addp_C
{%
- \XINT@addp@F
+ \XINT_addp_F
}%
-\def\XINT@addp@AB #1#2#3#4\W\X\Y\Z #5#6#7#8%
+\def\XINT_addp_AB #1#2#3#4\W\X\Y\Z #5#6#7#8%
{%
- \XINT@addp@ABE #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
+ \XINT_addp_ABE #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
}%
-\def\XINT@addp@ABE #1#2#3#4#5#6%
+\def\XINT_addp_ABE #1#2#3#4#5#6%
{%
- \expandafter\XINT@addp@ABEA\the\numexpr #1+10#5#4#3#2+#6\relax
+ \expandafter\XINT_addp_ABEA\the\numexpr #1+10#5#4#3#2+#6\relax
}%
-\def\XINT@addp@ABEA #1#2#3#4#5#6#7%
+\def\XINT_addp_ABEA #1#2#3#4#5#6#7%
{%
- \XINT@addp@A #2{#7#6#5#4#3}%<-- attention on met donc \`a droite
+ \XINT_addp_A #2{#7#6#5#4#3}%<-- attention on met donc \`a droite
}%
-\def\XINT@addp@C #1#2#3#4#5%
+\def\XINT_addp_C #1#2#3#4#5%
{%
- \xint@w
- #5\xint@addp@cw
- #4\xint@addp@cx
- #3\xint@addp@cy
- #2\xint@addp@cz
- \W\XINT@addp@CD {#5#4#3#2}{#1}%
+ \xint_gob_til_w
+ #5\xint_addp_cw
+ #4\xint_addp_cx
+ #3\xint_addp_cy
+ #2\xint_addp_cz
+ \W\XINT_addp_CD {#5#4#3#2}{#1}%
}%
-\def\XINT@addp@CD #1%
+\def\XINT_addp_CD #1%
{%
- \expandafter\XINT@addp@CC\the\numexpr 1+10#1\relax
+ \expandafter\XINT_addp_CC\the\numexpr 1+10#1\relax
}%
-\def\XINT@addp@CC #1#2#3#4#5#6#7%
+\def\XINT_addp_CC #1#2#3#4#5#6#7%
{%
- \XINT@addp@AC@checkcarry #2{#7#6#5#4#3}%
+ \XINT_addp_AC_checkcarry #2{#7#6#5#4#3}%
}%
-\def\xint@addp@cw
- #1\xint@addp@cx
- #2\xint@addp@cy
- #3\xint@addp@cz
- \W\XINT@addp@CD
+\def\xint_addp_cw
+ #1\xint_addp_cx
+ #2\xint_addp_cy
+ #3\xint_addp_cz
+ \W\XINT_addp_CD
{%
- \expandafter\XINT@addp@CDw\the\numexpr 1+10#1#2#3\relax
+ \expandafter\XINT_addp_CDw\the\numexpr 1+10#1#2#3\relax
}%
-\def\XINT@addp@CDw #1#2#3#4#5#6%
+\def\XINT_addp_CDw #1#2#3#4#5#6%
{%
- \xint@quatrezeros #2#3#4#5\XINT@addp@endDw@zeros
- 0000\XINT@addp@endDw #2#3#4#5%
+ \xint_gob_til_zeros_iv #2#3#4#5\XINT_addp_endDw_zeros
+ 0000\XINT_addp_endDw #2#3#4#5%
}%
-\def\XINT@addp@endDw@zeros 0000\XINT@addp@endDw 0000#1\X\Y\Z{ #1}%
-\def\XINT@addp@endDw #1#2#3#4#5\X\Y\Z{ #5#4#3#2#1}%
-\def\xint@addp@cx
- #1\xint@addp@cy
- #2\xint@addp@cz
- \W\XINT@addp@CD
+\def\XINT_addp_endDw_zeros 0000\XINT_addp_endDw 0000#1\X\Y\Z{ #1}%
+\def\XINT_addp_endDw #1#2#3#4#5\X\Y\Z{ #5#4#3#2#1}%
+\def\xint_addp_cx
+ #1\xint_addp_cy
+ #2\xint_addp_cz
+ \W\XINT_addp_CD
{%
- \expandafter\XINT@addp@CDx\the\numexpr 1+100#1#2\relax
+ \expandafter\XINT_addp_CDx\the\numexpr 1+100#1#2\relax
}%
-\def\XINT@addp@CDx #1#2#3#4#5#6%
+\def\XINT_addp_CDx #1#2#3#4#5#6%
{%
- \xint@quatrezeros #2#3#4#5\XINT@addp@endDx@zeros
- 0000\XINT@addp@endDx #2#3#4#5%
+ \xint_gob_til_zeros_iv #2#3#4#5\XINT_addp_endDx_zeros
+ 0000\XINT_addp_endDx #2#3#4#5%
}%
-\def\XINT@addp@endDx@zeros 0000\XINT@addp@endDx 0000#1\Y\Z{ #1}%
-\def\XINT@addp@endDx #1#2#3#4#5\Y\Z{ #5#4#3#2#1}%
-\def\xint@addp@cy
- #1\xint@addp@cz
- \W\XINT@addp@CD
+\def\XINT_addp_endDx_zeros 0000\XINT_addp_endDx 0000#1\Y\Z{ #1}%
+\def\XINT_addp_endDx #1#2#3#4#5\Y\Z{ #5#4#3#2#1}%
+\def\xint_addp_cy
+ #1\xint_addp_cz
+ \W\XINT_addp_CD
{%
- \expandafter\XINT@addp@CDy\the\numexpr 1+1000#1\relax
+ \expandafter\XINT_addp_CDy\the\numexpr 1+1000#1\relax
}%
-\def\XINT@addp@CDy #1#2#3#4#5#6%
+\def\XINT_addp_CDy #1#2#3#4#5#6%
{%
- \xint@quatrezeros #2#3#4#5\XINT@addp@endDy@zeros
- 0000\XINT@addp@endDy #2#3#4#5%
+ \xint_gob_til_zeros_iv #2#3#4#5\XINT_addp_endDy_zeros
+ 0000\XINT_addp_endDy #2#3#4#5%
}%
-\def\XINT@addp@endDy@zeros 0000\XINT@addp@endDy 0000#1\Z{ #1}%
-\def\XINT@addp@endDy #1#2#3#4#5\Z{ #5#4#3#2#1}%
-\def\xint@addp@cz\W\XINT@addp@CD #1#2{ #21000}%
-\def\XINT@addp@F #1#2#3#4#5%
+\def\XINT_addp_endDy_zeros 0000\XINT_addp_endDy 0000#1\Z{ #1}%
+\def\XINT_addp_endDy #1#2#3#4#5\Z{ #5#4#3#2#1}%
+\def\xint_addp_cz\W\XINT_addp_CD #1#2{ #21000}%
+\def\XINT_addp_F #1#2#3#4#5%
{%
- \xint@w
- #5\xint@addp@Gw
- #4\xint@addp@Gx
- #3\xint@addp@Gy
- #2\xint@addp@Gz
- \W\XINT@addp@G {#2#3#4#5}{#1}%
+ \xint_gob_til_w
+ #5\xint_addp_Gw
+ #4\xint_addp_Gx
+ #3\xint_addp_Gy
+ #2\xint_addp_Gz
+ \W\XINT_addp_G {#2#3#4#5}{#1}%
}%
-\def\XINT@addp@G #1#2%
+\def\XINT_addp_G #1#2%
{%
- \XINT@addp@F {#2#1}%
+ \XINT_addp_F {#2#1}%
}%
-\def\xint@addp@Gw
- #1\xint@addp@Gx
- #2\xint@addp@Gy
- #3\xint@addp@Gz
- \W\XINT@addp@G #4%
+\def\xint_addp_Gw
+ #1\xint_addp_Gx
+ #2\xint_addp_Gy
+ #3\xint_addp_Gz
+ \W\XINT_addp_G #4%
{%
- \xint@quatrezeros #3#2#10\XINT@addp@endGw@zeros
- 0000\XINT@addp@endGw #3#2#10%
+ \xint_gob_til_zeros_iv #3#2#10\XINT_addp_endGw_zeros
+ 0000\XINT_addp_endGw #3#2#10%
}%
-\def\XINT@addp@endGw@zeros 0000\XINT@addp@endGw 0000#1\X\Y\Z{ #1}%
-\def\XINT@addp@endGw #1#2#3#4#5\X\Y\Z{ #5#1#2#3#4}%
-\def\xint@addp@Gx
- #1\xint@addp@Gy
- #2\xint@addp@Gz
- \W\XINT@addp@G #3%
+\def\XINT_addp_endGw_zeros 0000\XINT_addp_endGw 0000#1\X\Y\Z{ #1}%
+\def\XINT_addp_endGw #1#2#3#4#5\X\Y\Z{ #5#1#2#3#4}%
+\def\xint_addp_Gx
+ #1\xint_addp_Gy
+ #2\xint_addp_Gz
+ \W\XINT_addp_G #3%
{%
- \xint@quatrezeros #2#100\XINT@addp@endGx@zeros
- 0000\XINT@addp@endGx #2#100%
+ \xint_gob_til_zeros_iv #2#100\XINT_addp_endGx_zeros
+ 0000\XINT_addp_endGx #2#100%
}%
-\def\XINT@addp@endGx@zeros 0000\XINT@addp@endGx 0000#1\Y\Z{ #1}%
-\def\XINT@addp@endGx #1#2#3#4#5\Y\Z{ #5#1#2#3#4}%
-\def\xint@addp@Gy
- #1\xint@addp@Gz
- \W\XINT@addp@G #2%
+\def\XINT_addp_endGx_zeros 0000\XINT_addp_endGx 0000#1\Y\Z{ #1}%
+\def\XINT_addp_endGx #1#2#3#4#5\Y\Z{ #5#1#2#3#4}%
+\def\xint_addp_Gy
+ #1\xint_addp_Gz
+ \W\XINT_addp_G #2%
{%
- \xint@quatrezeros #1000\XINT@addp@endGy@zeros
- 0000\XINT@addp@endGy #1000%
+ \xint_gob_til_zeros_iv #1000\XINT_addp_endGy_zeros
+ 0000\XINT_addp_endGy #1000%
}%
-\def\XINT@addp@endGy@zeros 0000\XINT@addp@endGy 0000#1\Z{ #1}%
-\def\XINT@addp@endGy #1#2#3#4#5\Z{ #5#1#2#3#4}%
-\def\xint@addp@Gz\W\XINT@addp@G #1#2{ #2}%
+\def\XINT_addp_endGy_zeros 0000\XINT_addp_endGy 0000#1\Z{ #1}%
+\def\XINT_addp_endGy #1#2#3#4#5\Z{ #5#1#2#3#4}%
+\def\xint_addp_Gz\W\XINT_addp_G #1#2{ #2}%
\def\xintiAdd {\romannumeral0\xintiadd }%
\def\xintiadd #1%
{%
- \expandafter\xint@add\expandafter{\romannumeral-`0#1}%
+ \expandafter\xint_add\expandafter{\romannumeral-`0#1}%
}%
\let\xintAdd\xintiAdd \let\xintadd\xintiadd
-\def\xint@add #1#2%
+\def\xint_add #1#2%
{%
- \expandafter\XINT@add@fork \romannumeral-`0#2\Z #1\Z
+ \expandafter\XINT_add_fork \romannumeral-`0#2\Z #1\Z
}%
-\def\XINT@Add #1#2{\romannumeral0\XINT@add@fork #2\Z #1\Z }%
-\def\XINT@add #1#2{\XINT@add@fork #2\Z #1\Z }%
-\def\XINT@add@fork #1#2\Z #3#4\Z
+\def\XINT_Add #1#2{\romannumeral0\XINT_add_fork #2\Z #1\Z }%
+\def\XINT_add #1#2{\XINT_add_fork #2\Z #1\Z }%
+\def\XINT_add_fork #1#2\Z #3#4\Z
{%
- \xint@UDzerofork
- #1\dummy \XINT@add@secondiszero
- #3\dummy \XINT@add@firstiszero
+ \xint_UDzerofork
+ #1\dummy \XINT_add_secondiszero
+ #3\dummy \XINT_add_firstiszero
0\dummy
- {\xint@UDsignsfork
- #1#3\dummy \XINT@add@minusminus % #1 = #3 = -
- #1-\dummy \XINT@add@minusplus % #1 = -
- #3-\dummy \XINT@add@plusminus % #3 = -
- --\dummy \XINT@add@plusplus
- \xint@UDkrof }%
- \xint@UDkrof
+ {\xint_UDsignsfork
+ #1#3\dummy \XINT_add_minusminus % #1 = #3 = -
+ #1-\dummy \XINT_add_minusplus % #1 = -
+ #3-\dummy \XINT_add_plusminus % #3 = -
+ --\dummy \XINT_add_plusplus
+ \krof }%
+ \krof
{#2}{#4}#1#3%
}%
-\def\XINT@add@secondiszero #1#2#3#4{ #4#2}%
-\def\XINT@add@firstiszero #1#2#3#4{ #3#1}%
-\def\XINT@add@minusminus #1#2#3#4%
+\def\XINT_add_secondiszero #1#2#3#4{ #4#2}%
+\def\XINT_add_firstiszero #1#2#3#4{ #3#1}%
+\def\XINT_add_minusminus #1#2#3#4%
{%
- \expandafter\xint@minus@andstop%
- \romannumeral0\XINT@add@pre {#2}{#1}%
+ \expandafter\xint_minus_andstop%
+ \romannumeral0\XINT_add_pre {#2}{#1}%
}%
-\def\XINT@add@minusplus #1#2#3#4%
+\def\XINT_add_minusplus #1#2#3#4%
{%
- \XINT@sub@pre {#4#2}{#1}%
+ \XINT_sub_pre {#4#2}{#1}%
}%
-\def\XINT@add@plusminus #1#2#3#4%
+\def\XINT_add_plusminus #1#2#3#4%
{%
- \XINT@sub@pre {#3#1}{#2}%
+ \XINT_sub_pre {#3#1}{#2}%
}%
-\def\XINT@add@plusplus #1#2#3#4%
+\def\XINT_add_plusplus #1#2#3#4%
{%
- \XINT@add@pre {#4#2}{#3#1}%
+ \XINT_add_pre {#4#2}{#3#1}%
}%
-\def\XINT@add@pre #1%
+\def\XINT_add_pre #1%
{%
- \expandafter\XINT@add@@pre\expandafter
- {\romannumeral0\XINT@RQ {}#1\R\R\R\R\R\R\R\R\Z }%
+ \expandafter\XINT_add__pre\expandafter
+ {\romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z }%
}%
-\def\XINT@add@@pre #1#2%
+\def\XINT_add__pre #1#2%
{%
- \expandafter\XINT@add@A
+ \expandafter\XINT_add_A
\expandafter0\expandafter{\expandafter}%
- \romannumeral0\XINT@RQ {}#2\R\R\R\R\R\R\R\R\Z
+ \romannumeral0\XINT_RQ {}#2\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #1\W\X\Y\Z
}%
\def\xintiSub {\romannumeral0\xintisub }%
\def\xintisub #1%
{%
- \expandafter\xint@sub\expandafter{\romannumeral-`0#1}%
+ \expandafter\xint_sub\expandafter{\romannumeral-`0#1}%
}%
\let\xintSub\xintiSub \let\xintsub\xintisub
-\def\xint@sub #1#2%
-{%
- \expandafter\XINT@sub@fork \romannumeral-`0#2\Z #1\Z
-}%
-\def\XINT@Sub #1#2{\romannumeral0\XINT@sub@fork #2\Z #1\Z }%
-\def\XINT@sub #1#2{\XINT@sub@fork #2\Z #1\Z }%
-\def\XINT@sub@fork #1#2\Z #3#4\Z
-{%
- \xint@UDsignsfork
- #1#3\dummy \XINT@sub@minusminus
- #1-\dummy \XINT@sub@minusplus % attention, #3=0 possible
- #3-\dummy \XINT@sub@plusminus % attention, #1=0 possible
- --\dummy {\xint@UDzerofork
- #1\dummy \XINT@sub@secondiszero
- #3\dummy \XINT@sub@firstiszero
- 0\dummy \XINT@sub@plusplus
- \xint@UDkrof }%
- \xint@UDkrof
+\def\xint_sub #1#2%
+{%
+ \expandafter\XINT_sub_fork \romannumeral-`0#2\Z #1\Z
+}%
+\def\XINT_Sub #1#2{\romannumeral0\XINT_sub_fork #2\Z #1\Z }%
+\def\XINT_sub #1#2{\XINT_sub_fork #2\Z #1\Z }%
+\def\XINT_sub_fork #1#2\Z #3#4\Z
+{%
+ \xint_UDsignsfork
+ #1#3\dummy \XINT_sub_minusminus
+ #1-\dummy \XINT_sub_minusplus % attention, #3=0 possible
+ #3-\dummy \XINT_sub_plusminus % attention, #1=0 possible
+ --\dummy {\xint_UDzerofork
+ #1\dummy \XINT_sub_secondiszero
+ #3\dummy \XINT_sub_firstiszero
+ 0\dummy \XINT_sub_plusplus
+ \krof }%
+ \krof
{#2}{#4}#1#3%
}%
-\def\XINT@sub@secondiszero #1#2#3#4{ #4#2}%
-\def\XINT@sub@firstiszero #1#2#3#4{ -#3#1}%
-\def\XINT@sub@plusplus #1#2#3#4%
+\def\XINT_sub_secondiszero #1#2#3#4{ #4#2}%
+\def\XINT_sub_firstiszero #1#2#3#4{ -#3#1}%
+\def\XINT_sub_plusplus #1#2#3#4%
{%
- \XINT@sub@pre {#4#2}{#3#1}%
+ \XINT_sub_pre {#4#2}{#3#1}%
}%
-\def\XINT@sub@minusminus #1#2#3#4%
+\def\XINT_sub_minusminus #1#2#3#4%
{%
- \XINT@sub@pre {#1}{#2}%
+ \XINT_sub_pre {#1}{#2}%
}%
-\def\XINT@sub@minusplus #1#2#3#4%
+\def\XINT_sub_minusplus #1#2#3#4%
{%
- \xint@zero #4\xint@sub@mp0\XINT@add@pre {#4#2}{#1}%
+ \xint_gob_til_zero #4\xint_sub_mp0\XINT_add_pre {#4#2}{#1}%
}%
-\def\xint@sub@mp0\XINT@add@pre #1#2{ #2}%
-\def\XINT@sub@plusminus #1#2#3#4%
+\def\xint_sub_mp0\XINT_add_pre #1#2{ #2}%
+\def\XINT_sub_plusminus #1#2#3#4%
{%
- \xint@zero #3\xint@sub@pm0\expandafter\xint@minus@andstop%
- \romannumeral0\XINT@add@pre {#2}{#3#1}%
+ \xint_gob_til_zero #3\xint_sub_pm0\expandafter\xint_minus_andstop%
+ \romannumeral0\XINT_add_pre {#2}{#3#1}%
}%
-\def\xint@sub@pm #1\XINT@add@pre #2#3{ -#2}%
-\def\XINT@sub@pre #1%
+\def\xint_sub_pm #1\XINT_add_pre #2#3{ -#2}%
+\def\XINT_sub_pre #1%
{%
- \expandafter\XINT@sub@@pre\expandafter
- {\romannumeral0\XINT@RQ {}#1\R\R\R\R\R\R\R\R\Z }%
+ \expandafter\XINT_sub__pre\expandafter
+ {\romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z }%
}%
-\def\XINT@sub@@pre #1#2%
+\def\XINT_sub__pre #1#2%
{%
- \expandafter\XINT@sub@A
+ \expandafter\XINT_sub_A
\expandafter1\expandafter{\expandafter}%
- \romannumeral0\XINT@RQ {}#2\R\R\R\R\R\R\R\R\Z
+ \romannumeral0\XINT_RQ {}#2\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #1 \W\X\Y\Z
}%
-\def\XINT@sub@A #1#2#3\W\X\Y\Z #4#5#6#7%
+\def\XINT_sub_A #1#2#3\W\X\Y\Z #4#5#6#7%
{%
- \xint@w
- #4\xint@sub@az
- \W\XINT@sub@B #1{#4#5#6#7}{#2}#3\W\X\Y\Z
+ \xint_gob_til_w
+ #4\xint_sub_az
+ \W\XINT_sub_B #1{#4#5#6#7}{#2}#3\W\X\Y\Z
}%
-\def\XINT@sub@B #1#2#3#4#5#6#7%
+\def\XINT_sub_B #1#2#3#4#5#6#7%
{%
- \xint@w
- #4\xint@sub@bz
- \W\XINT@sub@onestep #1#2{#7#6#5#4}{#3}%
+ \xint_gob_til_w
+ #4\xint_sub_bz
+ \W\XINT_sub_onestep #1#2{#7#6#5#4}{#3}%
}%
-\def\XINT@sub@onestep #1#2#3#4#5#6%
+\def\XINT_sub_onestep #1#2#3#4#5#6%
{%
- \expandafter\XINT@sub@backtoA\the\numexpr 11#5#4#3#2-#6+#1-1\relax.%
+ \expandafter\XINT_sub_backtoA\the\numexpr 11#5#4#3#2-#6+#1-1\relax.%
}%
-\def\XINT@sub@backtoA #1#2#3.#4%
+\def\XINT_sub_backtoA #1#2#3.#4%
{%
- \XINT@sub@A #2{#3#4}%
+ \XINT_sub_A #2{#3#4}%
}%
-\def\xint@sub@bz
- \W\XINT@sub@onestep #1#2#3#4#5#6#7%
+\def\xint_sub_bz
+ \W\XINT_sub_onestep #1#2#3#4#5#6#7%
{%
- \xint@UDzerofork
- #1\dummy \XINT@sub@C % une retenue
- 0\dummy \XINT@sub@D % pas de retenue
- \xint@UDkrof
+ \xint_UDzerofork
+ #1\dummy \XINT_sub_C % une retenue
+ 0\dummy \XINT_sub_D % pas de retenue
+ \krof
{#7}#2#3#4#5%
}%
-\def\XINT@sub@D #1#2\W\X\Y\Z
+\def\XINT_sub_D #1#2\W\X\Y\Z
{%
\expandafter
- \xint@cleanupzeros@andstop
+ \xint_cleanupzeros_andstop
\romannumeral0%
- \XINT@rord@main {}#2%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#2%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
#1%
}%
-\def\XINT@sub@C #1#2#3#4#5%
+\def\XINT_sub_C #1#2#3#4#5%
{%
- \xint@w
- #2\xint@sub@cz
- \W\XINT@sub@AC@onestep {#5#4#3#2}{#1}%
+ \xint_gob_til_w
+ #2\xint_sub_cz
+ \W\XINT_sub_AC_onestep {#5#4#3#2}{#1}%
}%
-\def\XINT@sub@AC@onestep #1%
+\def\XINT_sub_AC_onestep #1%
{%
- \expandafter\XINT@sub@backtoC\the\numexpr 11#1-1\relax.%
+ \expandafter\XINT_sub_backtoC\the\numexpr 11#1-1\relax.%
}%
-\def\XINT@sub@backtoC #1#2#3.#4%
+\def\XINT_sub_backtoC #1#2#3.#4%
{%
- \XINT@sub@AC@checkcarry #2{#3#4}% la retenue va \^etre examin\'ee
+ \XINT_sub_AC_checkcarry #2{#3#4}% la retenue va \^etre examin\'ee
}%
-\def\XINT@sub@AC@checkcarry #1%
+\def\XINT_sub_AC_checkcarry #1%
{%
- \xint@one #1\xint@sub@AC@nocarry 1\XINT@sub@C
+ \xint_gob_til_one #1\xint_sub_AC_nocarry 1\XINT_sub_C
}%
-\def\xint@sub@AC@nocarry 1\XINT@sub@C #1#2\W\X\Y\Z
+\def\xint_sub_AC_nocarry 1\XINT_sub_C #1#2\W\X\Y\Z
{%
\expandafter
- \XINT@cuz@loop
+ \XINT_cuz_loop
\romannumeral0%
- \XINT@rord@main {}#2%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#2%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
#1\W\W\W\W\W\W\W\Z
}%
-\def\xint@sub@cz\W\XINT@sub@AC@onestep #1%
+\def\xint_sub_cz\W\XINT_sub_AC_onestep #1%
{%
- \XINT@cuz
+ \XINT_cuz
}%
-\def\xint@sub@az\W\XINT@sub@B #1#2#3#4#5#6#7%
+\def\xint_sub_az\W\XINT_sub_B #1#2#3#4#5#6#7%
{%
- \xint@w
- #4\xint@sub@ez
- \W\XINT@sub@Eenter #1{#3}#4#5#6#7%
+ \xint_gob_til_w
+ #4\xint_sub_ez
+ \W\XINT_sub_Eenter #1{#3}#4#5#6#7%
}%
-\def\XINT@sub@Eenter #1#2%
+\def\XINT_sub_Eenter #1#2%
{%
\expandafter
- \XINT@sub@E\expandafter1\expandafter{\expandafter}%
+ \XINT_sub_E\expandafter1\expandafter{\expandafter}%
\romannumeral0%
- \XINT@rord@main {}#2%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#2%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
\W\X\Y\Z #1%
}%
-\def\XINT@sub@E #1#2#3#4#5#6%
+\def\XINT_sub_E #1#2#3#4#5#6%
{%
- \xint@w #3\xint@sub@F\W\XINT@sub@Eonestep #1{#6#5#4#3}{#2}%
+ \xint_gob_til_w #3\xint_sub_F\W
+ \XINT_sub_Eonestep #1{#6#5#4#3}{#2}%
}%
-\def\XINT@sub@Eonestep #1#2%
+\def\XINT_sub_Eonestep #1#2%
{%
- \expandafter\XINT@sub@backtoE\the\numexpr 109999-#2+#1\relax.%
+ \expandafter\XINT_sub_backtoE\the\numexpr 109999-#2+#1\relax.%
}%
-\def\XINT@sub@backtoE #1#2#3.#4%
+\def\XINT_sub_backtoE #1#2#3.#4%
{%
- \XINT@sub@E #2{#3#4}%
+ \XINT_sub_E #2{#3#4}%
}%
-\def\xint@sub@F\W\XINT@sub@Eonestep #1#2#3#4%
+\def\xint_sub_F\W\XINT_sub_Eonestep #1#2#3#4%
{%
- \xint@UDonezerofork
- #4#1\dummy {\XINT@sub@Fdec 0}% soustraire 1. Et faire signe -
- #1#4\dummy {\XINT@sub@Finc 1}% additionner 1. Et faire signe -
- 10\dummy \XINT@sub@DD % terminer. Mais avec signe -
- \xint@UDkrof
+ \xint_UDonezerofork
+ #4#1\dummy {\XINT_sub_Fdec 0}% soustraire 1. Et faire signe -
+ #1#4\dummy {\XINT_sub_Finc 1}% additionner 1. Et faire signe -
+ 10\dummy \XINT_sub_DD % terminer. Mais avec signe -
+ \krof
{#3}%
}%
-\def\XINT@sub@DD {\expandafter\xint@minus@andstop\romannumeral0\XINT@sub@D }%
-\def\XINT@sub@Fdec #1#2#3#4#5#6%
+\def\XINT_sub_DD {\expandafter\xint_minus_andstop\romannumeral0\XINT_sub_D }%
+\def\XINT_sub_Fdec #1#2#3#4#5#6%
{%
- \xint@w #3\xint@sub@Fdec@finish\W
- \XINT@sub@Fdec@onestep #1{#6#5#4#3}{#2}%
+ \xint_gob_til_w #3\xint_sub_Fdec_finish\W
+ \XINT_sub_Fdec_onestep #1{#6#5#4#3}{#2}%
}%
-\def\XINT@sub@Fdec@onestep #1#2%
+\def\XINT_sub_Fdec_onestep #1#2%
{%
- \expandafter\XINT@sub@backtoFdec\the\numexpr 11#2+#1-1\relax.%
+ \expandafter\XINT_sub_backtoFdec\the\numexpr 11#2+#1-1\relax.%
}%
-\def\XINT@sub@backtoFdec #1#2#3.#4%
+\def\XINT_sub_backtoFdec #1#2#3.#4%
{%
- \XINT@sub@Fdec #2{#3#4}%
+ \XINT_sub_Fdec #2{#3#4}%
}%
-\def\xint@sub@Fdec@finish\W\XINT@sub@Fdec@onestep #1#2%
+\def\xint_sub_Fdec_finish\W\XINT_sub_Fdec_onestep #1#2%
{%
- \expandafter\xint@minus@andstop\romannumeral0\XINT@cuz
+ \expandafter\xint_minus_andstop\romannumeral0\XINT_cuz
}%
-\def\XINT@sub@Finc #1#2#3#4#5#6%
+\def\XINT_sub_Finc #1#2#3#4#5#6%
{%
- \xint@w #3\xint@sub@Finc@finish\W
- \XINT@sub@Finc@onestep #1{#6#5#4#3}{#2}%
+ \xint_gob_til_w #3\xint_sub_Finc_finish\W
+ \XINT_sub_Finc_onestep #1{#6#5#4#3}{#2}%
}%
-\def\XINT@sub@Finc@onestep #1#2%
+\def\XINT_sub_Finc_onestep #1#2%
{%
- \expandafter\XINT@sub@backtoFinc\the\numexpr 10#2+#1\relax.%
+ \expandafter\XINT_sub_backtoFinc\the\numexpr 10#2+#1\relax.%
}%
-\def\XINT@sub@backtoFinc #1#2#3.#4%
+\def\XINT_sub_backtoFinc #1#2#3.#4%
{%
- \XINT@sub@Finc #2{#3#4}%
+ \XINT_sub_Finc #2{#3#4}%
}%
-\def\xint@sub@Finc@finish\W\XINT@sub@Finc@onestep #1#2#3%
+\def\xint_sub_Finc_finish\W\XINT_sub_Finc_onestep #1#2#3%
{%
- \xint@UDzerofork
- #1\dummy {\expandafter\xint@minus@andstop\xint@cleanupzeros@nospace}%
+ \xint_UDzerofork
+ #1\dummy {\expandafter\xint_minus_andstop\xint_cleanupzeros_nospace}%
0\dummy { -1}%
- \xint@UDkrof
+ \krof
#3%
}%
-\def\xint@sub@ez\W\XINT@sub@Eenter #1%
+\def\xint_sub_ez\W\XINT_sub_Eenter #1%
{%
- \xint@UDzerofork
- #1\dummy \XINT@sub@K % il y a une retenue
- 0\dummy \XINT@sub@L % pas de retenue
- \xint@UDkrof
+ \xint_UDzerofork
+ #1\dummy \XINT_sub_K % il y a une retenue
+ 0\dummy \XINT_sub_L % pas de retenue
+ \krof
}%
-\def\XINT@sub@L #1\W\X\Y\Z {\XINT@cuz@loop #1\W\W\W\W\W\W\W\Z }%
-\def\XINT@sub@K #1%
+\def\XINT_sub_L #1\W\X\Y\Z {\XINT_cuz_loop #1\W\W\W\W\W\W\W\Z }%
+\def\XINT_sub_K #1%
{%
\expandafter
- \XINT@sub@KK\expandafter1\expandafter{\expandafter}%
+ \XINT_sub_KK\expandafter1\expandafter{\expandafter}%
\romannumeral0%
- \XINT@rord@main {}#1%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#1%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
}%
-\def\XINT@sub@KK #1#2#3#4#5#6%
+\def\XINT_sub_KK #1#2#3#4#5#6%
{%
- \xint@w #3\xint@sub@KK@finish\W
- \XINT@sub@KK@onestep #1{#6#5#4#3}{#2}%
+ \xint_gob_til_w #3\xint_sub_KK_finish\W
+ \XINT_sub_KK_onestep #1{#6#5#4#3}{#2}%
}%
-\def\XINT@sub@KK@onestep #1#2%
+\def\XINT_sub_KK_onestep #1#2%
{%
- \expandafter\XINT@sub@backtoKK\the\numexpr 109999-#2+#1\relax.%
+ \expandafter\XINT_sub_backtoKK\the\numexpr 109999-#2+#1\relax.%
}%
-\def\XINT@sub@backtoKK #1#2#3.#4%
+\def\XINT_sub_backtoKK #1#2#3.#4%
{%
- \XINT@sub@KK #2{#3#4}%
+ \XINT_sub_KK #2{#3#4}%
}%
-\def\xint@sub@KK@finish\W\XINT@sub@KK@onestep #1#2#3%
+\def\xint_sub_KK_finish\W\XINT_sub_KK_onestep #1#2#3%
{%
- \expandafter\xint@minus@andstop
- \romannumeral0\XINT@cuz@loop #3\W\W\W\W\W\W\W\Z
+ \expandafter\xint_minus_andstop
+ \romannumeral0\XINT_cuz_loop #3\W\W\W\W\W\W\W\Z
}%
\def\xintiCmp {\romannumeral0\xinticmp }%
\def\xinticmp #1%
{%
- \expandafter\xint@cmp\expandafter{\romannumeral-`0#1}%
+ \expandafter\xint_cmp\expandafter{\romannumeral-`0#1}%
}%
\let\xintCmp\xintiCmp \let\xintcmp\xinticmp
-\def\xint@cmp #1#2%
-{%
- \expandafter\XINT@cmp@fork \romannumeral-`0#2\Z #1\Z
-}%
-\def\XINT@Cmp #1#2{\romannumeral0\XINT@cmp@fork #2\Z #1\Z }%
-\def\XINT@cmp@fork #1#2\Z #3#4\Z
-{%
- \xint@UDsignsfork
- #1#3\dummy \XINT@cmp@minusminus
- #1-\dummy \XINT@cmp@minusplus
- #3-\dummy \XINT@cmp@plusminus
- --\dummy {\xint@UDzerosfork
- #1#3\dummy \XINT@cmp@zerozero
- #10\dummy \XINT@cmp@zeroplus
- #30\dummy \XINT@cmp@pluszero
- 00\dummy \XINT@cmp@plusplus
- \xint@UDkrof }%
- \xint@UDkrof
+\def\xint_cmp #1#2%
+{%
+ \expandafter\XINT_cmp_fork \romannumeral-`0#2\Z #1\Z
+}%
+\def\XINT_Cmp #1#2{\romannumeral0\XINT_cmp_fork #2\Z #1\Z }%
+\def\XINT_cmp_fork #1#2\Z #3#4\Z
+{%
+ \xint_UDsignsfork
+ #1#3\dummy \XINT_cmp_minusminus
+ #1-\dummy \XINT_cmp_minusplus
+ #3-\dummy \XINT_cmp_plusminus
+ --\dummy {\xint_UDzerosfork
+ #1#3\dummy \XINT_cmp_zerozero
+ #10\dummy \XINT_cmp_zeroplus
+ #30\dummy \XINT_cmp_pluszero
+ 00\dummy \XINT_cmp_plusplus
+ \krof }%
+ \krof
{#2}{#4}#1#3%
}%
-\def\XINT@cmp@minusplus #1#2#3#4{ 1}%
-\def\XINT@cmp@plusminus #1#2#3#4{ -1}%
-\def\XINT@cmp@zerozero #1#2#3#4{ 0}%
-\def\XINT@cmp@zeroplus #1#2#3#4{ 1}%
-\def\XINT@cmp@pluszero #1#2#3#4{ -1}%
-\def\XINT@cmp@plusplus #1#2#3#4%
+\def\XINT_cmp_minusplus #1#2#3#4{ 1}%
+\def\XINT_cmp_plusminus #1#2#3#4{ -1}%
+\def\XINT_cmp_zerozero #1#2#3#4{ 0}%
+\def\XINT_cmp_zeroplus #1#2#3#4{ 1}%
+\def\XINT_cmp_pluszero #1#2#3#4{ -1}%
+\def\XINT_cmp_plusplus #1#2#3#4%
{%
- \XINT@cmp@pre {#4#2}{#3#1}%
+ \XINT_cmp_pre {#4#2}{#3#1}%
}%
-\def\XINT@cmp@minusminus #1#2#3#4%
+\def\XINT_cmp_minusminus #1#2#3#4%
{%
- \XINT@cmp@pre {#1}{#2}%
+ \XINT_cmp_pre {#1}{#2}%
}%
-\def\XINT@cmp@pre #1%
+\def\XINT_cmp_pre #1%
{%
- \expandafter\XINT@cmp@@pre\expandafter
- {\romannumeral0\XINT@RQ {}#1\R\R\R\R\R\R\R\R\Z }%
+ \expandafter\XINT_cmp__pre\expandafter
+ {\romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z }%
}%
-\def\XINT@cmp@@pre #1#2%
+\def\XINT_cmp__pre #1#2%
{%
- \expandafter\XINT@cmp@A
+ \expandafter\XINT_cmp_A
\expandafter1\expandafter{\expandafter}%
- \romannumeral0\XINT@RQ {}#2\R\R\R\R\R\R\R\R\Z
+ \romannumeral0\XINT_RQ {}#2\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #1\W\X\Y\Z
}%
-\def\XINT@cmp@A #1#2#3\W\X\Y\Z #4#5#6#7%
+\def\XINT_cmp_A #1#2#3\W\X\Y\Z #4#5#6#7%
{%
- \xint@w #4\xint@cmp@az\W\XINT@cmp@B #1{#4#5#6#7}{#2}#3\W\X\Y\Z
+ \xint_gob_til_w #4\xint_cmp_az\W
+ \XINT_cmp_B #1{#4#5#6#7}{#2}#3\W\X\Y\Z
}%
-\def\XINT@cmp@B #1#2#3#4#5#6#7%
+\def\XINT_cmp_B #1#2#3#4#5#6#7%
{%
- \xint@w#4\xint@cmp@bz\W\XINT@cmp@onestep #1#2{#7#6#5#4}{#3}%
+ \xint_gob_til_w#4\xint_cmp_bz\W
+ \XINT_cmp_onestep #1#2{#7#6#5#4}{#3}%
}%
-\def\XINT@cmp@onestep #1#2#3#4#5#6%
+\def\XINT_cmp_onestep #1#2#3#4#5#6%
{%
- \expandafter\XINT@cmp@backtoA\the\numexpr 11#5#4#3#2-#6+#1-1\relax.%
+ \expandafter\XINT_cmp_backtoA\the\numexpr 11#5#4#3#2-#6+#1-1\relax.%
}%
-\def\XINT@cmp@backtoA #1#2#3.#4%
+\def\XINT_cmp_backtoA #1#2#3.#4%
{%
- \XINT@cmp@A #2{#3#4}%
+ \XINT_cmp_A #2{#3#4}%
}%
-\def\xint@cmp@bz\W\XINT@cmp@onestep #1\Z { 1}%
-\def\xint@cmp@az\W\XINT@cmp@B #1#2#3#4#5#6#7%
+\def\xint_cmp_bz\W\XINT_cmp_onestep #1\Z { 1}%
+\def\xint_cmp_az\W\XINT_cmp_B #1#2#3#4#5#6#7%
{%
- \xint@w #4\xint@cmp@ez\W\XINT@cmp@Eenter #1{#3}#4#5#6#7%
+ \xint_gob_til_w #4\xint_cmp_ez\W
+ \XINT_cmp_Eenter #1{#3}#4#5#6#7%
}%
-\def\XINT@cmp@Eenter #1\Z { -1}%
-\def\xint@cmp@ez\W\XINT@cmp@Eenter #1%
+\def\XINT_cmp_Eenter #1\Z { -1}%
+\def\xint_cmp_ez\W\XINT_cmp_Eenter #1%
{%
- \xint@UDzerofork
- #1\dummy \XINT@cmp@K % il y a une retenue
- 0\dummy \XINT@cmp@L % pas de retenue
- \xint@UDkrof
+ \xint_UDzerofork
+ #1\dummy \XINT_cmp_K % il y a une retenue
+ 0\dummy \XINT_cmp_L % pas de retenue
+ \krof
}%
-\def\XINT@cmp@K #1\Z { -1}%
-\def\XINT@cmp@L #1{\XINT@OneIfPositive@main #1}%
-\def\XINT@OneIfPositive #1%
+\def\XINT_cmp_K #1\Z { -1}%
+\def\XINT_cmp_L #1{\XINT_OneIfPositive_main #1}%
+\def\XINT_OneIfPositive #1%
{%
- \XINT@OneIfPositive@main #1\W\X\Y\Z%
+ \XINT_OneIfPositive_main #1\W\X\Y\Z%
}%
-\def\XINT@OneIfPositive@main #1#2#3#4%
+\def\XINT_OneIfPositive_main #1#2#3#4%
{%
- \xint@z #4\xint@OneIfPositive@terminated\Z
- \XINT@OneIfPositive@onestep #1#2#3#4%
+ \xint_gob_til_z #4\xint_OneIfPositive_terminated\Z
+ \XINT_OneIfPositive_onestep #1#2#3#4%
}%
-\def\xint@OneIfPositive@terminated\Z\XINT@OneIfPositive@onestep\W\X\Y\Z { 0}%
-\def\XINT@OneIfPositive@onestep #1#2#3#4%
+\def\xint_OneIfPositive_terminated\Z\XINT_OneIfPositive_onestep\W\X\Y\Z { 0}%
+\def\XINT_OneIfPositive_onestep #1#2#3#4%
{%
- \expandafter\XINT@OneIfPositive@check\the\numexpr #1#2#3#4\relax
+ \expandafter\XINT_OneIfPositive_check\the\numexpr #1#2#3#4\relax
}%
-\def\XINT@OneIfPositive@check #1%
+\def\XINT_OneIfPositive_check #1%
{%
- \xint@zero #1\xint@OneIfPositive@backtomain 0%
- \XINT@OneIfPositive@finish #1%
+ \xint_gob_til_zero #1\xint_OneIfPositive_backtomain 0%
+ \XINT_OneIfPositive_finish #1%
}%
-\def\XINT@OneIfPositive@finish #1\W\X\Y\Z{ 1}%
-\def\xint@OneIfPositive@backtomain 0\XINT@OneIfPositive@finish 0%
- {\XINT@OneIfPositive@main }%
+\def\XINT_OneIfPositive_finish #1\W\X\Y\Z{ 1}%
+\def\xint_OneIfPositive_backtomain 0\XINT_OneIfPositive_finish 0%
+ {\XINT_OneIfPositive_main }%
\def\xintiGeq {\romannumeral0\xintigeq }%
\def\xintigeq #1%
{%
- \expandafter\xint@geq\expandafter {\romannumeral-`0#1}%
+ \expandafter\xint_geq\expandafter {\romannumeral-`0#1}%
}%
\let\xintGeq\xintiGeq \let\xintgeq\xintigeq
-\def\xint@geq #1#2%
-{%
- \expandafter\XINT@geq@fork \romannumeral-`0#2\Z #1\Z
-}%
-\def\XINT@Geq #1#2{\romannumeral0\XINT@geq@fork #2\Z #1\Z }%
-\def\XINT@geq@fork #1#2\Z #3#4\Z
-{%
- \xint@UDzerofork
- #1\dummy \XINT@geq@secondiszero % |#1#2|=0
- #3\dummy \XINT@geq@firstiszero % |#1#2|>0
- 0\dummy {\xint@UDsignsfork
- #1#3\dummy \XINT@geq@minusminus
- #1-\dummy \XINT@geq@minusplus
- #3-\dummy \XINT@geq@plusminus
- --\dummy \XINT@geq@plusplus
- \xint@UDkrof }%
- \xint@UDkrof
+\def\xint_geq #1#2%
+{%
+ \expandafter\XINT_geq_fork \romannumeral-`0#2\Z #1\Z
+}%
+\def\XINT_Geq #1#2{\romannumeral0\XINT_geq_fork #2\Z #1\Z }%
+\def\XINT_geq_fork #1#2\Z #3#4\Z
+{%
+ \xint_UDzerofork
+ #1\dummy \XINT_geq_secondiszero % |#1#2|=0
+ #3\dummy \XINT_geq_firstiszero % |#1#2|>0
+ 0\dummy {\xint_UDsignsfork
+ #1#3\dummy \XINT_geq_minusminus
+ #1-\dummy \XINT_geq_minusplus
+ #3-\dummy \XINT_geq_plusminus
+ --\dummy \XINT_geq_plusplus
+ \krof }%
+ \krof
{#2}{#4}#1#3%
}%
-\def\XINT@geq@secondiszero #1#2#3#4{ 1}%
-\def\XINT@geq@firstiszero #1#2#3#4{ 0}%
-\def\XINT@geq@plusplus #1#2#3#4{\XINT@geq@pre {#4#2}{#3#1}}%
-\def\XINT@geq@minusminus #1#2#3#4{\XINT@geq@pre {#2}{#1}}%
-\def\XINT@geq@minusplus #1#2#3#4{\XINT@geq@pre {#4#2}{#1}}%
-\def\XINT@geq@plusminus #1#2#3#4{\XINT@geq@pre {#2}{#3#1}}%
-\def\XINT@geq@pre #1%
+\def\XINT_geq_secondiszero #1#2#3#4{ 1}%
+\def\XINT_geq_firstiszero #1#2#3#4{ 0}%
+\def\XINT_geq_plusplus #1#2#3#4{\XINT_geq_pre {#4#2}{#3#1}}%
+\def\XINT_geq_minusminus #1#2#3#4{\XINT_geq_pre {#2}{#1}}%
+\def\XINT_geq_minusplus #1#2#3#4{\XINT_geq_pre {#4#2}{#1}}%
+\def\XINT_geq_plusminus #1#2#3#4{\XINT_geq_pre {#2}{#3#1}}%
+\def\XINT_geq_pre #1%
{%
- \expandafter\XINT@geq@@pre\expandafter
- {\romannumeral0\XINT@RQ {}#1\R\R\R\R\R\R\R\R\Z }%
+ \expandafter\XINT_geq__pre\expandafter
+ {\romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z }%
}%
-\def\XINT@geq@@pre #1#2%
+\def\XINT_geq__pre #1#2%
{%
- \expandafter\XINT@geq@A
+ \expandafter\XINT_geq_A
\expandafter1\expandafter{\expandafter}%
- \romannumeral0\XINT@RQ {}#2\R\R\R\R\R\R\R\R\Z
+ \romannumeral0\XINT_RQ {}#2\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #1 \W\X\Y\Z
}%
-\def\XINT@geq@A #1#2#3\W\X\Y\Z #4#5#6#7%
+\def\XINT_geq_A #1#2#3\W\X\Y\Z #4#5#6#7%
{%
- \xint@w #4\xint@geq@az\W\XINT@geq@B #1{#4#5#6#7}{#2}#3\W\X\Y\Z
+ \xint_gob_til_w #4\xint_geq_az\W
+ \XINT_geq_B #1{#4#5#6#7}{#2}#3\W\X\Y\Z
}%
-\def\XINT@geq@B #1#2#3#4#5#6#7%
+\def\XINT_geq_B #1#2#3#4#5#6#7%
{%
- \xint@w #4\xint@geq@bz\W\XINT@geq@onestep #1#2{#7#6#5#4}{#3}%
+ \xint_gob_til_w #4\xint_geq_bz\W
+ \XINT_geq_onestep #1#2{#7#6#5#4}{#3}%
}%
-\def\XINT@geq@onestep #1#2#3#4#5#6%
+\def\XINT_geq_onestep #1#2#3#4#5#6%
{%
- \expandafter\XINT@geq@backtoA\the\numexpr 11#5#4#3#2-#6+#1-1\relax.%
+ \expandafter\XINT_geq_backtoA\the\numexpr 11#5#4#3#2-#6+#1-1\relax.%
}%
-\def\XINT@geq@backtoA #1#2#3.#4%
+\def\XINT_geq_backtoA #1#2#3.#4%
{%
- \XINT@geq@A #2{#3#4}%
+ \XINT_geq_A #2{#3#4}%
}%
-\def\xint@geq@bz\W\XINT@geq@onestep #1\W\X\Y\Z { 1}%
-\def\xint@geq@az\W\XINT@geq@B #1#2#3#4#5#6#7%
+\def\xint_geq_bz\W\XINT_geq_onestep #1\W\X\Y\Z { 1}%
+\def\xint_geq_az\W\XINT_geq_B #1#2#3#4#5#6#7%
{%
- \xint@w #4\xint@geq@ez\W\XINT@geq@Eenter #1%
+ \xint_gob_til_w #4\xint_geq_ez\W
+ \XINT_geq_Eenter #1%
}%
-\def\XINT@geq@Eenter #1\W\X\Y\Z { 0}%
-\def\xint@geq@ez\W\XINT@geq@Eenter #1%
+\def\XINT_geq_Eenter #1\W\X\Y\Z { 0}%
+\def\xint_geq_ez\W\XINT_geq_Eenter #1%
{%
- \xint@UDzerofork
+ \xint_UDzerofork
#1\dummy { 0} % il y a une retenue
0\dummy { 1} % pas de retenue
- \xint@UDkrof
+ \krof
}%
\def\xintiMax {\romannumeral0\xintimax }%
\def\xintimax #1%
{%
- \expandafter\xint@max\expandafter {\romannumeral-`0#1}%
+ \expandafter\xint_max\expandafter {\romannumeral-`0#1}%
}%
\let\xintMax\xintiMax \let\xintmax\xintimax
-\def\xint@max #1#2%
-{%
- \expandafter\XINT@max@pre\expandafter {\romannumeral-`0#2}{#1}%
-}%
-\def\XINT@max@pre #1#2{\XINT@max@fork #1\Z #2\Z {#2}{#1}}%
-\def\XINT@Max #1#2{\romannumeral0\XINT@max@fork #2\Z #1\Z {#1}{#2}}%
-\def\XINT@max@fork #1#2\Z #3#4\Z
-{%
- \xint@UDsignsfork
- #1#3\dummy \XINT@max@minusminus % A < 0, B < 0
- #1-\dummy \XINT@max@minusplus % B < 0, A >= 0
- #3-\dummy \XINT@max@plusminus % A < 0, B >= 0
- --\dummy {\xint@UDzerosfork
- #1#3\dummy \XINT@max@zerozero % A = B = 0
- #10\dummy \XINT@max@zeroplus % B = 0, A > 0
- #30\dummy \XINT@max@pluszero % A = 0, B > 0
- 00\dummy \XINT@max@plusplus % A, B > 0
- \xint@UDkrof }%
- \xint@UDkrof
+\def\xint_max #1#2%
+{%
+ \expandafter\XINT_max_pre\expandafter {\romannumeral-`0#2}{#1}%
+}%
+\def\XINT_max_pre #1#2{\XINT_max_fork #1\Z #2\Z {#2}{#1}}%
+\def\XINT_Max #1#2{\romannumeral0\XINT_max_fork #2\Z #1\Z {#1}{#2}}%
+\def\XINT_max_fork #1#2\Z #3#4\Z
+{%
+ \xint_UDsignsfork
+ #1#3\dummy \XINT_max_minusminus % A < 0, B < 0
+ #1-\dummy \XINT_max_minusplus % B < 0, A >= 0
+ #3-\dummy \XINT_max_plusminus % A < 0, B >= 0
+ --\dummy {\xint_UDzerosfork
+ #1#3\dummy \XINT_max_zerozero % A = B = 0
+ #10\dummy \XINT_max_zeroplus % B = 0, A > 0
+ #30\dummy \XINT_max_pluszero % A = 0, B > 0
+ 00\dummy \XINT_max_plusplus % A, B > 0
+ \krof }%
+ \krof
{#2}{#4}#1#3%
}%
-\def\XINT@max@zerozero #1#2#3#4{\xint@firstoftwo@andstop }%
-\def\XINT@max@zeroplus #1#2#3#4{\xint@firstoftwo@andstop }%
-\def\XINT@max@pluszero #1#2#3#4{\xint@secondoftwo@andstop }%
-\def\XINT@max@minusplus #1#2#3#4{\xint@firstoftwo@andstop }%
-\def\XINT@max@plusminus #1#2#3#4{\xint@secondoftwo@andstop }%
-\def\XINT@max@plusplus #1#2#3#4%
+\def\XINT_max_zerozero #1#2#3#4{\xint_firstoftwo_andstop }%
+\def\XINT_max_zeroplus #1#2#3#4{\xint_firstoftwo_andstop }%
+\def\XINT_max_pluszero #1#2#3#4{\xint_secondoftwo_andstop }%
+\def\XINT_max_minusplus #1#2#3#4{\xint_firstoftwo_andstop }%
+\def\XINT_max_plusminus #1#2#3#4{\xint_secondoftwo_andstop }%
+\def\XINT_max_plusplus #1#2#3#4%
{%
- \ifodd\XINT@Geq {#4#2}{#3#1}
- \expandafter\xint@firstoftwo@andstop
+ \ifodd\XINT_Geq {#4#2}{#3#1}
+ \expandafter\xint_firstoftwo_andstop
\else
- \expandafter\xint@secondoftwo@andstop
+ \expandafter\xint_secondoftwo_andstop
\fi
}%
-\def\XINT@max@minusminus #1#2#3#4%
+\def\XINT_max_minusminus #1#2#3#4%
{%
- \ifodd\XINT@Geq {#1}{#2}
- \expandafter\xint@firstoftwo@andstop
+ \ifodd\XINT_Geq {#1}{#2}
+ \expandafter\xint_firstoftwo_andstop
\else
- \expandafter\xint@secondoftwo@andstop
+ \expandafter\xint_secondoftwo_andstop
\fi
}%
\def\xintiMin {\romannumeral0\xintimin }%
\def\xintimin #1%
{%
- \expandafter\xint@min\expandafter {\romannumeral-`0#1}%
+ \expandafter\xint_min\expandafter {\romannumeral-`0#1}%
}%
\let\xintMin\xintiMin \let\xintmin\xintimin
-\def\xint@min #1#2%
-{%
- \expandafter\XINT@min@pre\expandafter {\romannumeral-`0#2}{#1}%
-}%
-\def\XINT@min@pre #1#2{\XINT@min@fork #1\Z #2\Z {#2}{#1}}%
-\def\XINT@Min #1#2{\romannumeral0\XINT@min@fork #2\Z #1\Z {#1}{#2}}%
-\def\XINT@min@fork #1#2\Z #3#4\Z
-{%
- \xint@UDsignsfork
- #1#3\dummy \XINT@min@minusminus % A < 0, B < 0
- #1-\dummy \XINT@min@minusplus % B < 0, A >= 0
- #3-\dummy \XINT@min@plusminus % A < 0, B >= 0
- --\dummy {\xint@UDzerosfork
- #1#3\dummy \XINT@min@zerozero % A = B = 0
- #10\dummy \XINT@min@zeroplus % B = 0, A > 0
- #30\dummy \XINT@min@pluszero % A = 0, B > 0
- 00\dummy \XINT@min@plusplus % A, B > 0
- \xint@UDkrof }%
- \xint@UDkrof
+\def\xint_min #1#2%
+{%
+ \expandafter\XINT_min_pre\expandafter {\romannumeral-`0#2}{#1}%
+}%
+\def\XINT_min_pre #1#2{\XINT_min_fork #1\Z #2\Z {#2}{#1}}%
+\def\XINT_Min #1#2{\romannumeral0\XINT_min_fork #2\Z #1\Z {#1}{#2}}%
+\def\XINT_min_fork #1#2\Z #3#4\Z
+{%
+ \xint_UDsignsfork
+ #1#3\dummy \XINT_min_minusminus % A < 0, B < 0
+ #1-\dummy \XINT_min_minusplus % B < 0, A >= 0
+ #3-\dummy \XINT_min_plusminus % A < 0, B >= 0
+ --\dummy {\xint_UDzerosfork
+ #1#3\dummy \XINT_min_zerozero % A = B = 0
+ #10\dummy \XINT_min_zeroplus % B = 0, A > 0
+ #30\dummy \XINT_min_pluszero % A = 0, B > 0
+ 00\dummy \XINT_min_plusplus % A, B > 0
+ \krof }%
+ \krof
{#2}{#4}#1#3%
}%
-\def\XINT@min@zerozero #1#2#3#4{\xint@firstoftwo@andstop }%
-\def\XINT@min@zeroplus #1#2#3#4{\xint@secondoftwo@andstop }%
-\def\XINT@min@pluszero #1#2#3#4{\xint@firstoftwo@andstop }%
-\def\XINT@min@minusplus #1#2#3#4{\xint@secondoftwo@andstop }%
-\def\XINT@min@plusminus #1#2#3#4{\xint@firstoftwo@andstop }%
-\def\XINT@min@plusplus #1#2#3#4%
+\def\XINT_min_zerozero #1#2#3#4{\xint_firstoftwo_andstop }%
+\def\XINT_min_zeroplus #1#2#3#4{\xint_secondoftwo_andstop }%
+\def\XINT_min_pluszero #1#2#3#4{\xint_firstoftwo_andstop }%
+\def\XINT_min_minusplus #1#2#3#4{\xint_secondoftwo_andstop }%
+\def\XINT_min_plusminus #1#2#3#4{\xint_firstoftwo_andstop }%
+\def\XINT_min_plusplus #1#2#3#4%
{%
- \ifodd\XINT@Geq {#4#2}{#3#1}
- \expandafter\xint@secondoftwo@andstop
+ \ifodd\XINT_Geq {#4#2}{#3#1}
+ \expandafter\xint_secondoftwo_andstop
\else
- \expandafter\xint@firstoftwo@andstop
+ \expandafter\xint_firstoftwo_andstop
\fi
}%
-\def\XINT@min@minusminus #1#2#3#4%
+\def\XINT_min_minusminus #1#2#3#4%
{%
- \ifodd\XINT@Geq {#1}{#2}
- \expandafter\xint@secondoftwo@andstop
+ \ifodd\XINT_Geq {#1}{#2}
+ \expandafter\xint_secondoftwo_andstop
\else
- \expandafter\xint@firstoftwo@andstop
+ \expandafter\xint_firstoftwo_andstop
\fi
}%
\def\xintiSum {\romannumeral0\xintisum }%
\def\xintisum #1{\xintisumexpr #1\relax }%
\def\xintiSumExpr {\romannumeral0\xintisumexpr }%
-\def\xintisumexpr {\expandafter\XINT@sumexpr\romannumeral-`0}%
+\def\xintisumexpr {\expandafter\XINT_sumexpr\romannumeral-`0}%
\let\xintSum\xintiSum \let\xintsum\xintisum
\let\xintSumExpr\xintiSumExpr \let\xintsumexpr\xintisumexpr
-\def\XINT@sumexpr {\XINT@sum@loop {0000}{0000}}%
-\def\XINT@sum@loop #1#2#3%
+\def\XINT_sumexpr {\XINT_sum_loop {0000}{0000}}%
+\def\XINT_sum_loop #1#2#3%
{%
- \expandafter\XINT@sum@checksign\romannumeral-`0#3\Z {#1}{#2}%
+ \expandafter\XINT_sum_checksign\romannumeral-`0#3\Z {#1}{#2}%
}%
-\def\XINT@sum@checksign #1%
+\def\XINT_sum_checksign #1%
{%
- \xint@relax #1\XINT@sum@finished\relax
- \xint@zero #1\XINT@sum@skipzeroinput0%
- \xint@UDsignfork
- #1\dummy \XINT@sum@N
- -\dummy {\XINT@sum@P #1}%
- \xint@UDkrof
+ \xint_gob_til_relax #1\XINT_sum_finished\relax
+ \xint_gob_til_zero #1\XINT_sum_skipzeroinput0%
+ \xint_UDsignfork
+ #1\dummy \XINT_sum_N
+ -\dummy {\XINT_sum_P #1}%
+ \krof
}%
-\def\XINT@sum@finished #1\Z #2#3%
+\def\XINT_sum_finished #1\Z #2#3%
{%
- \XINT@sub@A 1{}#3\W\X\Y\Z #2\W\X\Y\Z
+ \XINT_sub_A 1{}#3\W\X\Y\Z #2\W\X\Y\Z
}%
-\def\XINT@sum@skipzeroinput #1\xint@UDkrof #2\Z {\XINT@sum@loop }%
-\def\XINT@sum@P #1\Z #2%
+\def\XINT_sum_skipzeroinput #1\krof #2\Z {\XINT_sum_loop }%
+\def\XINT_sum_P #1\Z #2%
{%
- \expandafter\XINT@sum@loop\expandafter
+ \expandafter\XINT_sum_loop\expandafter
{\romannumeral0\expandafter
- \XINT@addr@A\expandafter0\expandafter{\expandafter}%
- \romannumeral0\XINT@RQ {}#1\R\R\R\R\R\R\R\R\Z
+ \XINT_addr_A\expandafter0\expandafter{\expandafter}%
+ \romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #2\W\X\Y\Z }%
}%
-\def\XINT@sum@N #1\Z #2#3%
+\def\XINT_sum_N #1\Z #2#3%
{%
- \expandafter\XINT@sum@NN\expandafter
+ \expandafter\XINT_sum_NN\expandafter
{\romannumeral0\expandafter
- \XINT@addr@A\expandafter0\expandafter{\expandafter}%
- \romannumeral0\XINT@RQ {}#1\R\R\R\R\R\R\R\R\Z
+ \XINT_addr_A\expandafter0\expandafter{\expandafter}%
+ \romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #3\W\X\Y\Z }{#2}%
}%
-\def\XINT@sum@NN #1#2{\XINT@sum@loop {#2}{#1}}%
+\def\XINT_sum_NN #1#2{\XINT_sum_loop {#2}{#1}}%
\def\xintiMul {\romannumeral0\xintimul }%
\def\xintimul #1%
{%
- \expandafter\xint@mul\expandafter {\romannumeral-`0#1}%
+ \expandafter\xint_mul\expandafter {\romannumeral-`0#1}%
}%
\let\xintMul\xintiMul \let\xintmul\xintimul
-\def\xint@mul #1#2%
+\def\xint_mul #1#2%
{%
- \expandafter\XINT@mul@fork \romannumeral-`0#2\Z #1\Z
+ \expandafter\XINT_mul_fork \romannumeral-`0#2\Z #1\Z
}%
-\def\XINT@Mul #1#2{\romannumeral0\XINT@mul@fork #2\Z #1\Z }%
-\def\XINT@mul@fork #1#2\Z #3#4\Z
+\def\XINT_Mul #1#2{\romannumeral0\XINT_mul_fork #2\Z #1\Z }%
+\def\XINT_mul_fork #1#2\Z #3#4\Z
{%
- \xint@UDzerofork
- #1\dummy \XINT@mul@zero
- #3\dummy \XINT@mul@zero
+ \xint_UDzerofork
+ #1\dummy \XINT_mul_zero
+ #3\dummy \XINT_mul_zero
0\dummy
- {\xint@UDsignsfork
- #1#3\dummy \XINT@mul@minusminus % #1 = #3 = -
- #1-\dummy {\XINT@mul@minusplus #3}% % #1 = -
- #3-\dummy {\XINT@mul@plusminus #1}% % #3 = -
- --\dummy {\XINT@mul@plusplus #1#3}%
- \xint@UDkrof }%
- \xint@UDkrof
+ {\xint_UDsignsfork
+ #1#3\dummy \XINT_mul_minusminus % #1 = #3 = -
+ #1-\dummy {\XINT_mul_minusplus #3}% % #1 = -
+ #3-\dummy {\XINT_mul_plusminus #1}% % #3 = -
+ --\dummy {\XINT_mul_plusplus #1#3}%
+ \krof }%
+ \krof
{#2}{#4}%
}%
-\def\XINT@mul@zero #1#2{ 0}%
-\def\XINT@mul@minusminus #1#2%
+\def\XINT_mul_zero #1#2{ 0}%
+\def\XINT_mul_minusminus #1#2%
{%
- \expandafter\XINT@mul@choice@a
- \expandafter{\romannumeral0\XINT@length {#2}}%
- {\romannumeral0\XINT@length {#1}}{#1}{#2}%
+ \expandafter\XINT_mul_choice_a
+ \expandafter{\romannumeral0\XINT_length {#2}}%
+ {\romannumeral0\XINT_length {#1}}{#1}{#2}%
}%
-\def\XINT@mul@minusplus #1#2#3%
+\def\XINT_mul_minusplus #1#2#3%
{%
- \expandafter\xint@minus@andstop\romannumeral0\expandafter
- \XINT@mul@choice@a
- \expandafter{\romannumeral0\XINT@length {#1#3}}%
- {\romannumeral0\XINT@length {#2}}{#2}{#1#3}%
+ \expandafter\xint_minus_andstop\romannumeral0\expandafter
+ \XINT_mul_choice_a
+ \expandafter{\romannumeral0\XINT_length {#1#3}}%
+ {\romannumeral0\XINT_length {#2}}{#2}{#1#3}%
}%
-\def\XINT@mul@plusminus #1#2#3%
+\def\XINT_mul_plusminus #1#2#3%
{%
- \expandafter\xint@minus@andstop\romannumeral0\expandafter
- \XINT@mul@choice@a
- \expandafter{\romannumeral0\XINT@length {#3}}%
- {\romannumeral0\XINT@length {#1#2}}{#1#2}{#3}%
+ \expandafter\xint_minus_andstop\romannumeral0\expandafter
+ \XINT_mul_choice_a
+ \expandafter{\romannumeral0\XINT_length {#3}}%
+ {\romannumeral0\XINT_length {#1#2}}{#1#2}{#3}%
}%
-\def\XINT@mul@plusplus #1#2#3#4%
+\def\XINT_mul_plusplus #1#2#3#4%
{%
- \expandafter\XINT@mul@choice@a
- \expandafter{\romannumeral0\XINT@length {#2#4}}%
- {\romannumeral0\XINT@length {#1#3}}{#1#3}{#2#4}%
+ \expandafter\XINT_mul_choice_a
+ \expandafter{\romannumeral0\XINT_length {#2#4}}%
+ {\romannumeral0\XINT_length {#1#3}}{#1#3}{#2#4}%
}%
-\def\XINT@mul@choice@a #1#2%
+\def\XINT_mul_choice_a #1#2%
{%
- \expandafter\XINT@mul@choice@b\expandafter{#2}{#1}%
+ \expandafter\XINT_mul_choice_b\expandafter{#2}{#1}%
}%
-\def\XINT@mul@choice@b #1#2%
+\def\XINT_mul_choice_b #1#2%
{%
\ifnum #1<5
- \expandafter\XINT@mul@choice@littlebyfirst
+ \expandafter\XINT_mul_choice_littlebyfirst
\else
\ifnum #2<5
- \expandafter\expandafter\expandafter\XINT@mul@choice@littlebysecond
+ \expandafter\expandafter\expandafter\XINT_mul_choice_littlebysecond
\else
- \expandafter\expandafter\expandafter\XINT@mul@choice@compare
+ \expandafter\expandafter\expandafter\XINT_mul_choice_compare
\fi
\fi
{#1}{#2}%
}%
-\def\XINT@mul@choice@littlebyfirst #1#2#3#4%
+\def\XINT_mul_choice_littlebyfirst #1#2#3#4%
{%
- \expandafter\XINT@mul@M
+ \expandafter\XINT_mul_M
\expandafter{\the\numexpr #3\expandafter}%
- \romannumeral0\XINT@RQ {}#4\R\R\R\R\R\R\R\R\Z \Z\Z\Z\Z
+ \romannumeral0\XINT_RQ {}#4\R\R\R\R\R\R\R\R\Z \Z\Z\Z\Z
}%
-\def\XINT@mul@choice@littlebysecond #1#2#3#4%
+\def\XINT_mul_choice_littlebysecond #1#2#3#4%
{%
- \expandafter\XINT@mul@M
+ \expandafter\XINT_mul_M
\expandafter{\the\numexpr #4\expandafter}%
- \romannumeral0\XINT@RQ {}#3\R\R\R\R\R\R\R\R\Z \Z\Z\Z\Z
+ \romannumeral0\XINT_RQ {}#3\R\R\R\R\R\R\R\R\Z \Z\Z\Z\Z
}%
-\def\XINT@mul@choice@compare #1#2%
+\def\XINT_mul_choice_compare #1#2%
{%
\ifnum #1>#2
- \expandafter \XINT@mul@choice@i
+ \expandafter \XINT_mul_choice_i
\else
- \expandafter \XINT@mul@choice@ii
+ \expandafter \XINT_mul_choice_ii
\fi
{#1}{#2}%
}%
-\def\XINT@mul@choice@i #1#2%
+\def\XINT_mul_choice_i #1#2%
{%
\ifnum #1<\numexpr\ifcase \numexpr (#2-3)/4\relax
\or 330\or 168\or 109\or 80\or 66\or 52\else 0\fi\relax
- \expandafter\XINT@mul@choice@same
+ \expandafter\XINT_mul_choice_same
\else
- \expandafter\XINT@mul@choice@permute
+ \expandafter\XINT_mul_choice_permute
\fi
}%
-\def\XINT@mul@choice@ii #1#2%
+\def\XINT_mul_choice_ii #1#2%
{%
\ifnum #2<\numexpr\ifcase \numexpr (#1-3)/4\relax
\or 330\or 168\or 109\or 80\or 66\or 52\else 0\fi\relax
- \expandafter\XINT@mul@choice@permute
+ \expandafter\XINT_mul_choice_permute
\else
- \expandafter\XINT@mul@choice@same
+ \expandafter\XINT_mul_choice_same
\fi
}%
-\def\XINT@mul@choice@same #1#2%
+\def\XINT_mul_choice_same #1#2%
{%
- \expandafter\XINT@mul@enter
- \romannumeral0\XINT@RQ {}#1\R\R\R\R\R\R\R\R\Z
+ \expandafter\XINT_mul_enter
+ \romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #2\W\X\Y\Z
}%
-\def\XINT@mul@choice@permute #1#2%
+\def\XINT_mul_choice_permute #1#2%
{%
- \expandafter\XINT@mul@enter
- \romannumeral0\XINT@RQ {}#2\R\R\R\R\R\R\R\R\Z
+ \expandafter\XINT_mul_enter
+ \romannumeral0\XINT_RQ {}#2\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #1\W\X\Y\Z
}%
-\def\XINT@mul@Ar #1#2#3#4#5#6%
+\def\XINT_mul_Ar #1#2#3#4#5#6%
{%
- \xint@z #6\xint@mul@br\Z\XINT@mul@Br #1{#6#5#4#3}{#2}%
+ \xint_gob_til_z #6\xint_mul_br\Z\XINT_mul_Br #1{#6#5#4#3}{#2}%
}%
-\def\xint@mul@br\Z\XINT@mul@Br #1#2%
+\def\xint_mul_br\Z\XINT_mul_Br #1#2%
{%
- \XINT@addr@AC@checkcarry #1%
+ \XINT_addr_AC_checkcarry #1%
}%
-\def\XINT@mul@Br #1#2#3#4\W\X\Y\Z #5#6#7#8%
+\def\XINT_mul_Br #1#2#3#4\W\X\Y\Z #5#6#7#8%
{%
- \expandafter\XINT@mul@ABEAr
+ \expandafter\XINT_mul_ABEAr
\the\numexpr #1+10#2+#8#7#6#5\relax.{#3}#4\W\X\Y\Z
}%
-\def\XINT@mul@ABEAr #1#2#3#4#5#6.#7%
+\def\XINT_mul_ABEAr #1#2#3#4#5#6.#7%
{%
- \XINT@mul@Ar #2{#7#6#5#4#3}%
+ \XINT_mul_Ar #2{#7#6#5#4#3}%
}%
-\def\XINT@mul@Mr #1%
+\def\XINT_mul_Mr #1%
{%
- \expandafter\XINT@mul@Mr@checkifzeroorone\expandafter{\the\numexpr #1}%
+ \expandafter\XINT_mul_Mr_checkifzeroorone\expandafter{\the\numexpr #1}%
}%
-\def\XINT@mul@Mr@checkifzeroorone #1%
+\def\XINT_mul_Mr_checkifzeroorone #1%
{%
\ifcase #1
- \expandafter\XINT@mul@Mr@zero
+ \expandafter\XINT_mul_Mr_zero
\or
- \expandafter\XINT@mul@Mr@one
+ \expandafter\XINT_mul_Mr_one
\else
- \expandafter\XINT@mul@Nr
+ \expandafter\XINT_mul_Nr
\fi
{0000}{}{#1}%
}%
-\def\XINT@mul@Mr@zero #1\Z\Z\Z\Z { 0000}%
-\def\XINT@mul@Mr@one #1#2#3#4\Z\Z\Z\Z { #4}%
-\def\XINT@mul@Nr #1#2#3#4#5#6#7%
+\def\XINT_mul_Mr_zero #1\Z\Z\Z\Z { 0000}%
+\def\XINT_mul_Mr_one #1#2#3#4\Z\Z\Z\Z { #4}%
+\def\XINT_mul_Nr #1#2#3#4#5#6#7%
{%
- \xint@z #4\xint@mul@pr\Z\XINT@mul@Pr {#1}{#3}{#7#6#5#4}{#2}{#3}%
+ \xint_gob_til_z #4\xint_mul_pr\Z\XINT_mul_Pr {#1}{#3}{#7#6#5#4}{#2}{#3}%
}%
-\def\XINT@mul@Pr #1#2#3%
+\def\XINT_mul_Pr #1#2#3%
{%
- \expandafter\XINT@mul@Lr\the\numexpr 10000#1+#2*#3\relax
+ \expandafter\XINT_mul_Lr\the\numexpr 10000#1+#2*#3\relax
}%
-\def\XINT@mul@Lr 1#1#2#3#4#5#6#7#8#9%
+\def\XINT_mul_Lr 1#1#2#3#4#5#6#7#8#9%
{%
- \XINT@mul@Nr {#1#2#3#4}{#9#8#7#6#5}%
+ \XINT_mul_Nr {#1#2#3#4}{#9#8#7#6#5}%
}%
-\def\xint@mul@pr\Z\XINT@mul@Pr #1#2#3#4#5%
+\def\xint_mul_pr\Z\XINT_mul_Pr #1#2#3#4#5%
{%
- \xint@quatrezeros #1\XINT@mul@Mr@end@nocarry 0000%
- \XINT@mul@Mr@end@carry #1{#4}%
+ \xint_gob_til_zeros_iv #1\XINT_mul_Mr_end_nocarry 0000%
+ \XINT_mul_Mr_end_carry #1{#4}%
}%
-\def\XINT@mul@Mr@end@nocarry 0000\XINT@mul@Mr@end@carry 0000#1{ #1}%
-\def\XINT@mul@Mr@end@carry #1#2#3#4#5{ #5#4#3#2#1}%
-\def\XINT@mul@M #1%
+\def\XINT_mul_Mr_end_nocarry 0000\XINT_mul_Mr_end_carry 0000#1{ #1}%
+\def\XINT_mul_Mr_end_carry #1#2#3#4#5{ #5#4#3#2#1}%
+\def\XINT_mul_M #1%
{%
- \expandafter\XINT@mul@M@checkifzeroorone\expandafter{\the\numexpr #1}%
+ \expandafter\XINT_mul_M_checkifzeroorone\expandafter{\the\numexpr #1}%
}%
-\def\XINT@mul@M@checkifzeroorone #1%
+\def\XINT_mul_M_checkifzeroorone #1%
{%
\ifcase #1
- \expandafter\XINT@mul@M@zero
+ \expandafter\XINT_mul_M_zero
\or
- \expandafter\XINT@mul@M@one
+ \expandafter\XINT_mul_M_one
\else
- \expandafter\XINT@mul@N
+ \expandafter\XINT_mul_N
\fi
{0000}{}{#1}%
}%
-\def\XINT@mul@M@zero #1\Z\Z\Z\Z { 0}%
-\def\XINT@mul@M@one #1#2#3#4\Z\Z\Z\Z
+\def\XINT_mul_M_zero #1\Z\Z\Z\Z { 0}%
+\def\XINT_mul_M_one #1#2#3#4\Z\Z\Z\Z
{%
- \expandafter\xint@cleanupzeros@andstop\romannumeral0\XINT@rev{#4}%
+ \expandafter\xint_cleanupzeros_andstop\romannumeral0\XINT_rev{#4}%
}%
-\def\XINT@mul@N #1#2#3#4#5#6#7%
+\def\XINT_mul_N #1#2#3#4#5#6#7%
{%
- \xint@z #4\xint@mul@p\Z\XINT@mul@P {#1}{#3}{#7#6#5#4}{#2}{#3}%
+ \xint_gob_til_z #4\xint_mul_p\Z\XINT_mul_P {#1}{#3}{#7#6#5#4}{#2}{#3}%
}%
-\def\XINT@mul@P #1#2#3%
+\def\XINT_mul_P #1#2#3%
{%
- \expandafter\XINT@mul@L\the\numexpr 10000#1+#2*#3\relax
+ \expandafter\XINT_mul_L\the\numexpr 10000#1+#2*#3\relax
}%
-\def\XINT@mul@L 1#1#2#3#4#5#6#7#8#9%
+\def\XINT_mul_L 1#1#2#3#4#5#6#7#8#9%
{%
- \XINT@mul@N {#1#2#3#4}{#5#6#7#8#9}%
+ \XINT_mul_N {#1#2#3#4}{#5#6#7#8#9}%
}%
-\def\xint@mul@p\Z\XINT@mul@P #1#2#3#4#5%
+\def\xint_mul_p\Z\XINT_mul_P #1#2#3#4#5%
{%
- \XINT@mul@M@end #1#4%
+ \XINT_mul_M_end #1#4%
}%
-\def\XINT@mul@M@end #1#2#3#4#5#6#7#8%
+\def\XINT_mul_M_end #1#2#3#4#5#6#7#8%
{%
\expandafter\space\the\numexpr #1#2#3#4#5#6#7#8\relax
}%
-\def\XINT@mul@enter #1\W\X\Y\Z #2#3#4#5%
+\def\XINT_mul_enter #1\W\X\Y\Z #2#3#4#5%
{%
- \xint@w
- #5\xint@mul@enterw
- #4\xint@mul@enterx
- #3\xint@mul@entery
- #2\xint@mul@enterz
- \W\XINT@mul@start {#2#3#4#5}#1\W\X\Y\Z
+ \xint_gob_til_w
+ #5\xint_mul_enterw
+ #4\xint_mul_enterx
+ #3\xint_mul_entery
+ #2\xint_mul_enterz
+ \W\XINT_mul_start {#2#3#4#5}#1\W\X\Y\Z
}%
-\def\xint@mul@enterw
- #1\xint@mul@enterx
- #2\xint@mul@entery
- #3\xint@mul@enterz
- \W\XINT@mul@start #4#5\W\X\Y\Z \X\Y\Z
+\def\xint_mul_enterw
+ #1\xint_mul_enterx
+ #2\xint_mul_entery
+ #3\xint_mul_enterz
+ \W\XINT_mul_start #4#5\W\X\Y\Z \X\Y\Z
{%
- \XINT@mul@M {#3#2#1}#5\Z\Z\Z\Z
+ \XINT_mul_M {#3#2#1}#5\Z\Z\Z\Z
}%
-\def\xint@mul@enterx
- #1\xint@mul@entery
- #2\xint@mul@enterz
- \W\XINT@mul@start #3#4\W\X\Y\Z \Y\Z
+\def\xint_mul_enterx
+ #1\xint_mul_entery
+ #2\xint_mul_enterz
+ \W\XINT_mul_start #3#4\W\X\Y\Z \Y\Z
{%
- \XINT@mul@M {#2#1}#4\Z\Z\Z\Z
+ \XINT_mul_M {#2#1}#4\Z\Z\Z\Z
}%
-\def\xint@mul@entery
- #1\xint@mul@enterz
- \W\XINT@mul@start #2#3\W\X\Y\Z \Z
+\def\xint_mul_entery
+ #1\xint_mul_enterz
+ \W\XINT_mul_start #2#3\W\X\Y\Z \Z
{%
- \XINT@mul@M {#1}#3\Z\Z\Z\Z
+ \XINT_mul_M {#1}#3\Z\Z\Z\Z
}%
-\def\XINT@mul@start #1#2\W\X\Y\Z
+\def\XINT_mul_start #1#2\W\X\Y\Z
{%
- \expandafter\XINT@mul@main\expandafter
- {\romannumeral0\XINT@mul@Mr {#1}#2\Z\Z\Z\Z}#2\W\X\Y\Z
+ \expandafter\XINT_mul_main\expandafter
+ {\romannumeral0\XINT_mul_Mr {#1}#2\Z\Z\Z\Z}#2\W\X\Y\Z
}%
-\def\XINT@mul@main #1#2\W\X\Y\Z #3#4#5#6%
+\def\XINT_mul_main #1#2\W\X\Y\Z #3#4#5#6%
{%
- \xint@w
- #6\xint@mul@mainw
- #5\xint@mul@mainx
- #4\xint@mul@mainy
- #3\xint@mul@mainz
- \W\XINT@mul@compute {#1}{#3#4#5#6}#2\W\X\Y\Z
+ \xint_gob_til_w
+ #6\xint_mul_mainw
+ #5\xint_mul_mainx
+ #4\xint_mul_mainy
+ #3\xint_mul_mainz
+ \W\XINT_mul_compute {#1}{#3#4#5#6}#2\W\X\Y\Z
}%
-\def\XINT@mul@compute #1#2#3\W\X\Y\Z
+\def\XINT_mul_compute #1#2#3\W\X\Y\Z
{%
- \expandafter\XINT@mul@main\expandafter
+ \expandafter\XINT_mul_main\expandafter
{\romannumeral0\expandafter
- \XINT@mul@Ar\expandafter0\expandafter{\expandafter}%
- \romannumeral0\XINT@mul@Mr {#2}#3\Z\Z\Z\Z
+ \XINT_mul_Ar\expandafter0\expandafter{\expandafter}%
+ \romannumeral0\XINT_mul_Mr {#2}#3\Z\Z\Z\Z
\W\X\Y\Z 0000#1\W\X\Y\Z }#3\W\X\Y\Z
}%
-\def\xint@mul@mainw
- #1\xint@mul@mainx
- #2\xint@mul@mainy
- #3\xint@mul@mainz
- \W\XINT@mul@compute #4#5#6\W\X\Y\Z \X\Y\Z
+\def\xint_mul_mainw
+ #1\xint_mul_mainx
+ #2\xint_mul_mainy
+ #3\xint_mul_mainz
+ \W\XINT_mul_compute #4#5#6\W\X\Y\Z \X\Y\Z
{%
- \expandafter\XINT@addm@A \expandafter0\expandafter{\expandafter}%
+ \expandafter\XINT_addm_A \expandafter0\expandafter{\expandafter}%
\romannumeral0%
- \XINT@mul@Mr {#3#2#1}#6\Z\Z\Z\Z
+ \XINT_mul_Mr {#3#2#1}#6\Z\Z\Z\Z
\W\X\Y\Z 000#4\W\X\Y\Z
}%
-\def\xint@mul@mainx
- #1\xint@mul@mainy
- #2\xint@mul@mainz
- \W\XINT@mul@compute #3#4#5\W\X\Y\Z \Y\Z
+\def\xint_mul_mainx
+ #1\xint_mul_mainy
+ #2\xint_mul_mainz
+ \W\XINT_mul_compute #3#4#5\W\X\Y\Z \Y\Z
{%
- \expandafter\XINT@addm@A\expandafter
+ \expandafter\XINT_addm_A\expandafter
0\expandafter{\expandafter}%
- \romannumeral0\XINT@mul@Mr {#2#1}#5\Z\Z\Z\Z
+ \romannumeral0\XINT_mul_Mr {#2#1}#5\Z\Z\Z\Z
\W\X\Y\Z 00#3\W\X\Y\Z
}%
-\def\xint@mul@mainy
- #1\xint@mul@mainz
- \W\XINT@mul@compute #2#3#4\W\X\Y\Z \Z
+\def\xint_mul_mainy
+ #1\xint_mul_mainz
+ \W\XINT_mul_compute #2#3#4\W\X\Y\Z \Z
{%
- \expandafter\XINT@addm@A\expandafter
+ \expandafter\XINT_addm_A\expandafter
0\expandafter{\expandafter}%
- \romannumeral0\XINT@mul@Mr {#1}#4\Z\Z\Z\Z
+ \romannumeral0\XINT_mul_Mr {#1}#4\Z\Z\Z\Z
\W\X\Y\Z 0#2\W\X\Y\Z
}%
-\def\xint@mul@mainz\W\XINT@mul@compute #1#2#3\W\X\Y\Z
+\def\xint_mul_mainz\W\XINT_mul_compute #1#2#3\W\X\Y\Z
{%
- \expandafter\xint@cleanupzeros@andstop\romannumeral0\XINT@rev{#1}%
+ \expandafter\xint_cleanupzeros_andstop\romannumeral0\XINT_rev{#1}%
}%
-\def\XINT@mulr@enter #1\W\X\Y\Z #2#3#4#5%
+\def\XINT_mulr_enter #1\W\X\Y\Z #2#3#4#5%
{%
- \xint@w
- #5\xint@mulr@enterw
- #4\xint@mulr@enterx
- #3\xint@mulr@entery
- #2\xint@mulr@enterz
- \W\XINT@mulr@start {#2#3#4#5}#1\W\X\Y\Z
+ \xint_gob_til_w
+ #5\xint_mulr_enterw
+ #4\xint_mulr_enterx
+ #3\xint_mulr_entery
+ #2\xint_mulr_enterz
+ \W\XINT_mulr_start {#2#3#4#5}#1\W\X\Y\Z
}%
-\def\xint@mulr@enterw
- #1\xint@mulr@enterx
- #2\xint@mulr@entery
- #3\xint@mulr@enterz
- \W\XINT@mulr@start #4#5\W\X\Y\Z \X\Y\Z
+\def\xint_mulr_enterw
+ #1\xint_mulr_enterx
+ #2\xint_mulr_entery
+ #3\xint_mulr_enterz
+ \W\XINT_mulr_start #4#5\W\X\Y\Z \X\Y\Z
{%
- \XINT@mul@Mr {#3#2#1}#5\Z\Z\Z\Z
+ \XINT_mul_Mr {#3#2#1}#5\Z\Z\Z\Z
}%
-\def\xint@mulr@enterx
- #1\xint@mulr@entery
- #2\xint@mulr@enterz
- \W\XINT@mulr@start #3#4\W\X\Y\Z \Y\Z
+\def\xint_mulr_enterx
+ #1\xint_mulr_entery
+ #2\xint_mulr_enterz
+ \W\XINT_mulr_start #3#4\W\X\Y\Z \Y\Z
{%
- \XINT@mul@Mr {#2#1}#4\Z\Z\Z\Z
+ \XINT_mul_Mr {#2#1}#4\Z\Z\Z\Z
}%
-\def\xint@mulr@entery
- #1\xint@mulr@enterz
- \W\XINT@mulr@start #2#3\W\X\Y\Z \Z
+\def\xint_mulr_entery
+ #1\xint_mulr_enterz
+ \W\XINT_mulr_start #2#3\W\X\Y\Z \Z
{%
- \XINT@mul@Mr {#1}#3\Z\Z\Z\Z
+ \XINT_mul_Mr {#1}#3\Z\Z\Z\Z
}%
-\def\XINT@mulr@start #1#2\W\X\Y\Z
+\def\XINT_mulr_start #1#2\W\X\Y\Z
{%
- \expandafter\XINT@mulr@main\expandafter
- {\romannumeral0\XINT@mul@Mr {#1}#2\Z\Z\Z\Z }#2\W\X\Y\Z
+ \expandafter\XINT_mulr_main\expandafter
+ {\romannumeral0\XINT_mul_Mr {#1}#2\Z\Z\Z\Z }#2\W\X\Y\Z
}%
-\def\XINT@mulr@main #1#2\W\X\Y\Z #3#4#5#6%
+\def\XINT_mulr_main #1#2\W\X\Y\Z #3#4#5#6%
{%
- \xint@w
- #6\xint@mulr@mainw
- #5\xint@mulr@mainx
- #4\xint@mulr@mainy
- #3\xint@mulr@mainz
- \W\XINT@mulr@compute {#1}{#3#4#5#6}#2\W\X\Y\Z
+ \xint_gob_til_w
+ #6\xint_mulr_mainw
+ #5\xint_mulr_mainx
+ #4\xint_mulr_mainy
+ #3\xint_mulr_mainz
+ \W\XINT_mulr_compute {#1}{#3#4#5#6}#2\W\X\Y\Z
}%
-\def\XINT@mulr@compute #1#2#3\W\X\Y\Z
+\def\XINT_mulr_compute #1#2#3\W\X\Y\Z
{%
- \expandafter\XINT@mulr@main\expandafter
+ \expandafter\XINT_mulr_main\expandafter
{\romannumeral0\expandafter
- \XINT@mul@Ar \expandafter0\expandafter{\expandafter}%
- \romannumeral0\XINT@mul@Mr {#2}#3\Z\Z\Z\Z \W\X\Y\Z 0000#1\W\X\Y\Z
+ \XINT_mul_Ar \expandafter0\expandafter{\expandafter}%
+ \romannumeral0\XINT_mul_Mr {#2}#3\Z\Z\Z\Z \W\X\Y\Z 0000#1\W\X\Y\Z
}#3\W\X\Y\Z
}%
-\def\xint@mulr@mainw
- #1\xint@mulr@mainx
- #2\xint@mulr@mainy
- #3\xint@mulr@mainz
- \W\XINT@mulr@compute #4#5#6\W\X\Y\Z \X\Y\Z
+\def\xint_mulr_mainw
+ #1\xint_mulr_mainx
+ #2\xint_mulr_mainy
+ #3\xint_mulr_mainz
+ \W\XINT_mulr_compute #4#5#6\W\X\Y\Z \X\Y\Z
{%
- \expandafter\XINT@addp@A
+ \expandafter\XINT_addp_A
\expandafter0\expandafter{\expandafter}%
- \romannumeral0\XINT@mul@Mr {#3#2#1}#6\Z\Z\Z\Z
+ \romannumeral0\XINT_mul_Mr {#3#2#1}#6\Z\Z\Z\Z
\W\X\Y\Z 000#4\W\X\Y\Z
}%
-\def\xint@mulr@mainx
- #1\xint@mulr@mainy
- #2\xint@mulr@mainz
- \W\XINT@mulr@compute #3#4#5\W\X\Y\Z \Y\Z
+\def\xint_mulr_mainx
+ #1\xint_mulr_mainy
+ #2\xint_mulr_mainz
+ \W\XINT_mulr_compute #3#4#5\W\X\Y\Z \Y\Z
{%
- \expandafter\XINT@addp@A
+ \expandafter\XINT_addp_A
\expandafter0\expandafter{\expandafter}%
- \romannumeral0\XINT@mul@Mr {#2#1}#5\Z\Z\Z\Z
+ \romannumeral0\XINT_mul_Mr {#2#1}#5\Z\Z\Z\Z
\W\X\Y\Z 00#3\W\X\Y\Z
}%
-\def\xint@mulr@mainy
- #1\xint@mulr@mainz
- \W\XINT@mulr@compute #2#3#4\W\X\Y\Z \Z
+\def\xint_mulr_mainy
+ #1\xint_mulr_mainz
+ \W\XINT_mulr_compute #2#3#4\W\X\Y\Z \Z
{%
- \expandafter\XINT@addp@A
+ \expandafter\XINT_addp_A
\expandafter0\expandafter{\expandafter}%
- \romannumeral0\XINT@mul@Mr {#1}#4\Z\Z\Z\Z
+ \romannumeral0\XINT_mul_Mr {#1}#4\Z\Z\Z\Z
\W\X\Y\Z 0#2\W\X\Y\Z
}%
-\def\xint@mulr@mainz\W\XINT@mulr@compute #1#2#3\W\X\Y\Z { #1}%
+\def\xint_mulr_mainz\W\XINT_mulr_compute #1#2#3\W\X\Y\Z { #1}%
\def\xintiSqr {\romannumeral0\xintisqr }%
\def\xintisqr #1%
{%
- \expandafter\XINT@sqr\expandafter {\romannumeral0\xintiabs{#1}}%
+ \expandafter\XINT_sqr\expandafter {\romannumeral0\xintiabs{#1}}%
}%
\let\xintSqr\xintiSqr \let\xintsqr\xintisqr
-\def\XINT@sqr #1%
+\def\XINT_sqr #1%
{%
- \expandafter\XINT@mul@enter
+ \expandafter\XINT_mul_enter
\romannumeral0%
- \XINT@RQ {}#1\R\R\R\R\R\R\R\R\Z
+ \XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #1\W\X\Y\Z
}%
\def\xintiPrd {\romannumeral0\xintiprd }%
@@ -2042,776 +2062,776 @@
\let\xintPrd\xintiPrd
\let\xintprd\xintiprd
\def\xintiPrdExpr {\romannumeral0\xintiprdexpr }%
-\def\xintiprdexpr {\expandafter\XINT@prdexpr\romannumeral-`0}%
+\def\xintiprdexpr {\expandafter\XINT_prdexpr\romannumeral-`0}%
\let\xintPrdExpr\xintiPrdExpr
\let\xintprdexpr\xintiprdexpr
-\def\XINT@prdexpr {\XINT@prod@loop@a 1\Z }%
-\def\XINT@prod@loop@a #1\Z #2%
+\def\XINT_prdexpr {\XINT_prod_loop_a 1\Z }%
+\def\XINT_prod_loop_a #1\Z #2%
{%
- \expandafter\XINT@prod@loop@b \romannumeral-`0#2\Z #1\Z \Z
+ \expandafter\XINT_prod_loop_b \romannumeral-`0#2\Z #1\Z \Z
}%
-\def\XINT@prod@loop@b #1%
+\def\XINT_prod_loop_b #1%
{%
- \xint@relax #1\XINT@prod@finished\relax
- \XINT@prod@loop@c #1%
+ \xint_gob_til_relax #1\XINT_prod_finished\relax
+ \XINT_prod_loop_c #1%
}%
-\def\XINT@prod@loop@c
+\def\XINT_prod_loop_c
{%
- \expandafter\XINT@prod@loop@a\romannumeral0\XINT@mul@fork
+ \expandafter\XINT_prod_loop_a\romannumeral0\XINT_mul_fork
}%
-\def\XINT@prod@finished #1\Z #2\Z \Z { #2}%
+\def\XINT_prod_finished #1\Z #2\Z \Z { #2}%
\def\xintFac {\romannumeral0\xintfac }%
\def\xintfac #1%
{%
- \expandafter\XINT@fac@fork\expandafter{\the\numexpr #1}%
+ \expandafter\XINT_fac_fork\expandafter{\the\numexpr #1}%
}%
-\def\XINT@fac@fork #1%
+\def\XINT_fac_fork #1%
{%
- \ifcase\XINT@Sgn {#1}
- \xint@afterfi{\expandafter\space\expandafter 1\xint@gobble }%
+ \ifcase\XINT_Sgn {#1}
+ \xint_afterfi{\expandafter\space\expandafter 1\xint_gobble_i }%
\or
- \expandafter\XINT@fac@checklength
+ \expandafter\XINT_fac_checklength
\else
- \xint@afterfi{\expandafter\xintError:FactorialOfNegativeNumber
- \expandafter\space\expandafter 1\xint@gobble }%
+ \xint_afterfi{\expandafter\xintError:FactorialOfNegativeNumber
+ \expandafter\space\expandafter 1\xint_gobble_i }%
\fi
{#1}%
}%
-\def\XINT@fac@checklength #1%
+\def\XINT_fac_checklength #1%
{%
\ifnum #1>999999
- \xint@afterfi{\expandafter\xintError:FactorialOfTooBigNumber
- \expandafter\space\expandafter 1\xint@gobble }%
+ \xint_afterfi{\expandafter\xintError:FactorialOfTooBigNumber
+ \expandafter\space\expandafter 1\xint_gobble_i }%
\else
- \xint@afterfi{\ifnum #1>9999
- \expandafter\XINT@fac@big@loop
+ \xint_afterfi{\ifnum #1>9999
+ \expandafter\XINT_fac_big_loop
\else
- \expandafter\XINT@fac@loop
+ \expandafter\XINT_fac_loop
\fi }%
\fi
{#1}%
}%
-\def\XINT@fac@big@loop #1{\XINT@fac@big@loop@main {10000}{#1}{}}%
-\def\XINT@fac@big@loop@main #1#2#3%
+\def\XINT_fac_big_loop #1{\XINT_fac_big_loop_main {10000}{#1}{}}%
+\def\XINT_fac_big_loop_main #1#2#3%
{%
\ifnum #1<#2
\expandafter
- \XINT@fac@big@loop@main
+ \XINT_fac_big_loop_main
\expandafter
{\the\numexpr #1+1\expandafter }%
\else
- \expandafter\XINT@fac@big@docomputation
+ \expandafter\XINT_fac_big_docomputation
\fi
{#2}{#3{#1}}%
}%
-\def\XINT@fac@big@docomputation #1#2%
+\def\XINT_fac_big_docomputation #1#2%
{%
- \expandafter \XINT@fac@bigcompute@loop \expandafter
- {\romannumeral0\XINT@fac@loop {9999}}#2\relax
+ \expandafter \XINT_fac_bigcompute_loop \expandafter
+ {\romannumeral0\XINT_fac_loop {9999}}#2\relax
}%
-\def\XINT@fac@bigcompute@loop #1#2%
+\def\XINT_fac_bigcompute_loop #1#2%
{%
- \xint@relax #2\XINT@fac@bigcompute@end\relax
- \expandafter\XINT@fac@bigcompute@loop\expandafter
- {\expandafter\XINT@mul@enter
- \romannumeral0\XINT@RQ {}#2\R\R\R\R\R\R\R\R\Z
+ \xint_gob_til_relax #2\XINT_fac_bigcompute_end\relax
+ \expandafter\XINT_fac_bigcompute_loop\expandafter
+ {\expandafter\XINT_mul_enter
+ \romannumeral0\XINT_RQ {}#2\R\R\R\R\R\R\R\R\Z
\W\X\Y\Z #1\W\X\Y\Z }%
}%
-\def\XINT@fac@bigcompute@end #1#2#3#4#5%
+\def\XINT_fac_bigcompute_end #1#2#3#4#5%
{%
- \XINT@fac@bigcompute@end@ #5%
+ \XINT_fac_bigcompute_end_ #5%
}%
-\def\XINT@fac@bigcompute@end@ #1\R #2\Z \W\X\Y\Z #3\W\X\Y\Z { #3}%
-\def\XINT@fac@loop #1{\XINT@fac@loop@main 1{1000}{#1}}%
-\def\XINT@fac@loop@main #1#2#3%
+\def\XINT_fac_bigcompute_end_ #1\R #2\Z \W\X\Y\Z #3\W\X\Y\Z { #3}%
+\def\XINT_fac_loop #1{\XINT_fac_loop_main 1{1000}{#1}}%
+\def\XINT_fac_loop_main #1#2#3%
{%
\ifnum #3>#1
\else
- \expandafter\XINT@fac@loop@exit
+ \expandafter\XINT_fac_loop_exit
\fi
- \expandafter\XINT@fac@loop@main\expandafter
+ \expandafter\XINT_fac_loop_main\expandafter
{\the\numexpr #1+1\expandafter }\expandafter
- {\romannumeral0\XINT@mul@Mr {#1}#2\Z\Z\Z\Z }%
+ {\romannumeral0\XINT_mul_Mr {#1}#2\Z\Z\Z\Z }%
{#3}%
}%
-\def\XINT@fac@loop@exit #1#2#3#4#5#6#7%
+\def\XINT_fac_loop_exit #1#2#3#4#5#6#7%
{%
- \XINT@fac@loop@exit@ #6%
+ \XINT_fac_loop_exit_ #6%
}%
-\def\XINT@fac@loop@exit@ #1#2#3%
+\def\XINT_fac_loop_exit_ #1#2#3%
{%
- \XINT@mul@M
+ \XINT_mul_M
}%
\def\xintiPow {\romannumeral0\xintipow }%
\def\xintipow #1%
{%
- \expandafter\xint@pow\romannumeral-`0#1\Z%
+ \expandafter\xint_pow\romannumeral-`0#1\Z%
}%
\let\xintPow\xintiPow \let\xintpow\xintipow
-\def\xint@pow #1#2\Z
+\def\xint_pow #1#2\Z
{%
- \xint@UDsignfork
- #1\dummy \XINT@pow@Aneg
- -\dummy \XINT@pow@Anonneg
- \xint@UDkrof
+ \xint_UDsignfork
+ #1\dummy \XINT_pow_Aneg
+ -\dummy \XINT_pow_Anonneg
+ \krof
#1{#2}%
}%
-\def\XINT@pow@Aneg #1#2#3%
+\def\XINT_pow_Aneg #1#2#3%
{%
- \expandafter\XINT@pow@Aneg@\expandafter{\the\numexpr #3}{#2}%
+ \expandafter\XINT_pow_Aneg_\expandafter{\the\numexpr #3}{#2}%
}%
-\def\XINT@pow@Aneg@ #1%
+\def\XINT_pow_Aneg_ #1%
{%
\ifodd #1
- \expandafter\XINT@pow@Aneg@Bodd
+ \expandafter\XINT_pow_Aneg_Bodd
\fi
- \XINT@pow@Anonneg@ {#1}%
+ \XINT_pow_Anonneg_ {#1}%
}%
-\def\XINT@pow@Aneg@Bodd #1%
+\def\XINT_pow_Aneg_Bodd #1%
{%
- \expandafter\XINT@opp\romannumeral0\XINT@pow@Anonneg@
+ \expandafter\XINT_opp\romannumeral0\XINT_pow_Anonneg_
}%
-\def\XINT@pow@Anonneg #1#2#3%
+\def\XINT_pow_Anonneg #1#2#3%
{%
- \expandafter\XINT@pow@Anonneg@\expandafter {\the\numexpr #3}{#1#2}%
+ \expandafter\XINT_pow_Anonneg_\expandafter {\the\numexpr #3}{#1#2}%
}%
-\def\XINT@pow@Anonneg@ #1#2%
+\def\XINT_pow_Anonneg_ #1#2%
{%
- \ifcase\XINT@Cmp {#2}{1}
- \expandafter\XINT@pow@AisOne
+ \ifcase\XINT_Cmp {#2}{1}
+ \expandafter\XINT_pow_AisOne
\or
- \expandafter\XINT@pow@AatleastTwo
+ \expandafter\XINT_pow_AatleastTwo
\else
- \expandafter\XINT@pow@AisZero
+ \expandafter\XINT_pow_AisZero
\fi
{#1}{#2}%
}%
-\def\XINT@pow@AisOne #1#2{ 1}%
-\def\XINT@pow@AisZero #1#2%
+\def\XINT_pow_AisOne #1#2{ 1}%
+\def\XINT_pow_AisZero #1#2%
{%
- \ifcase\XINT@Sgn {#1}
- \xint@afterfi { 1}%
+ \ifcase\XINT_Sgn {#1}
+ \xint_afterfi { 1}%
\or
- \xint@afterfi { 0}%
+ \xint_afterfi { 0}%
\else
- \xint@afterfi {\xintError:DivisionByZero\space 0}%
+ \xint_afterfi {\xintError:DivisionByZero\space 0}%
\fi
}%
-\def\XINT@pow@AatleastTwo #1%
+\def\XINT_pow_AatleastTwo #1%
{%
- \ifcase\XINT@Sgn {#1}
- \expandafter\XINT@pow@BisZero
+ \ifcase\XINT_Sgn {#1}
+ \expandafter\XINT_pow_BisZero
\or
- \expandafter\XINT@pow@checkBlength
+ \expandafter\XINT_pow_checkBlength
\else
- \expandafter\XINT@pow@BisNegative
+ \expandafter\XINT_pow_BisNegative
\fi
{#1}%
}%
-\def\XINT@pow@BisNegative #1#2{\xintError:FractionRoundedToZero\space 0}%
-\def\XINT@pow@BisZero #1#2{ 1}%
-\def\XINT@pow@checkBlength #1#2%
+\def\XINT_pow_BisNegative #1#2{\xintError:FractionRoundedToZero\space 0}%
+\def\XINT_pow_BisZero #1#2{ 1}%
+\def\XINT_pow_checkBlength #1#2%
{%
\ifnum #1>999999999
- \expandafter\XINT@pow@BtooBig
+ \expandafter\XINT_pow_BtooBig
\else
- \expandafter\XINT@pow@loop
+ \expandafter\XINT_pow_loop
\fi
- {#1}{#2}\XINT@pow@posprod
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ {#1}{#2}\XINT_pow_posprod
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
}%
-\def\XINT@pow@BtooBig #1\xint@UNDEF #2\xint@UNDEF
+\def\XINT_pow_BtooBig #1\xint_relax #2\xint_relax
{\xintError:ExponentTooBig\space 0}%
-\def\XINT@pow@loop #1#2%
+\def\XINT_pow_loop #1#2%
{%
\ifnum #1 = 1
- \expandafter\XINT@pow@loop@end
+ \expandafter\XINT_pow_loop_end
\else
- \xint@afterfi{\expandafter\XINT@pow@loop@a
+ \xint_afterfi{\expandafter\XINT_pow_loop_a
\expandafter{\the\numexpr 2*(#1/2)-#1\expandafter }% b mod 2
\expandafter{\the\numexpr #1-#1/2\expandafter }% [b/2]
\expandafter{\romannumeral0\xintisqr{#2}}}%
\fi
{{#2}}%
}%
-\def\XINT@pow@loop@end {\romannumeral0\XINT@rord@main {}\relax }%
-\def\XINT@pow@loop@a #1%
+\def\XINT_pow_loop_end {\romannumeral0\XINT_rord_main {}\relax }%
+\def\XINT_pow_loop_a #1%
{%
\ifnum #1 = 1
- \expandafter\XINT@pow@loop
+ \expandafter\XINT_pow_loop
\else
- \expandafter\XINT@pow@loop@throwaway
+ \expandafter\XINT_pow_loop_throwaway
\fi
}%
-\def\XINT@pow@loop@throwaway #1#2#3%
+\def\XINT_pow_loop_throwaway #1#2#3%
{%
- \XINT@pow@loop {#1}{#2}%
+ \XINT_pow_loop {#1}{#2}%
}%
-\def\XINT@pow@posprod #1%
+\def\XINT_pow_posprod #1%
{%
- \XINT@pow@pprod@checkifempty #1\Z
+ \XINT_pow_pprod_checkifempty #1\Z
}%
-\def\XINT@pow@pprod@checkifempty #1%
+\def\XINT_pow_pprod_checkifempty #1%
{%
- \xint@relax #1\XINT@pow@pprod@emptyproduct\relax
- \XINT@pow@pprod@RQfirst #1%
+ \xint_gob_til_relax #1\XINT_pow_pprod_emptyproduct\relax
+ \XINT_pow_pprod_RQfirst #1%
}%
-\def\XINT@pow@pprod@emptyproduct #1\Z { 1}%
-\def\XINT@pow@pprod@RQfirst #1\Z
+\def\XINT_pow_pprod_emptyproduct #1\Z { 1}%
+\def\XINT_pow_pprod_RQfirst #1\Z
{%
- \expandafter\XINT@pow@pprod@getnext\expandafter
- {\romannumeral0\XINT@RQ {}#1\R\R\R\R\R\R\R\R\Z}%
+ \expandafter\XINT_pow_pprod_getnext\expandafter
+ {\romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z}%
}%
-\def\XINT@pow@pprod@getnext #1#2%
+\def\XINT_pow_pprod_getnext #1#2%
{%
- \XINT@pow@pprod@checkiffinished #2\Z {#1}%
+ \XINT_pow_pprod_checkiffinished #2\Z {#1}%
}%
-\def\XINT@pow@pprod@checkiffinished #1%
+\def\XINT_pow_pprod_checkiffinished #1%
{%
- \xint@relax #1\XINT@pow@pprod@end\relax
- \XINT@pow@pprod@compute #1%
+ \xint_gob_til_relax #1\XINT_pow_pprod_end\relax
+ \XINT_pow_pprod_compute #1%
}%
-\def\XINT@pow@pprod@compute #1\Z #2%
+\def\XINT_pow_pprod_compute #1\Z #2%
{%
- \expandafter\XINT@pow@pprod@getnext\expandafter
- {\romannumeral0\XINT@mulr@enter #2\W\X\Y\Z #1\W\X\Y\Z}%
+ \expandafter\XINT_pow_pprod_getnext\expandafter
+ {\romannumeral0\XINT_mulr_enter #2\W\X\Y\Z #1\W\X\Y\Z}%
}%
-\def\XINT@pow@pprod@end\relax\XINT@pow@pprod@compute #1\Z #2%
+\def\XINT_pow_pprod_end\relax\XINT_pow_pprod_compute #1\Z #2%
{%
- \expandafter\xint@cleanupzeros@andstop
- \romannumeral0\XINT@rev {#2}%
+ \expandafter\xint_cleanupzeros_andstop
+ \romannumeral0\XINT_rev {#2}%
}%
\def\xintiQuo {\romannumeral0\xintiquo }%
\def\xintiRem {\romannumeral0\xintirem }%
-\def\xintiquo {\expandafter\xint@firstoftwo@andstop
+\def\xintiquo {\expandafter\xint_firstoftwo_andstop
\romannumeral0\xintidivision }%
-\def\xintirem {\expandafter\xint@secondoftwo@andstop
+\def\xintirem {\expandafter\xint_secondoftwo_andstop
\romannumeral0\xintidivision }%
\let\xintQuo\xintiQuo \let\xintquo\xintiquo
\let\xintRem\xintiRem \let\xintrem\xintirem
\def\xintiDivision {\romannumeral0\xintidivision }%
\def\xintidivision #1%
{%
- \expandafter\xint@division\expandafter {\romannumeral-`0#1}%
+ \expandafter\xint_division\expandafter {\romannumeral-`0#1}%
}%
\let\xintDivision\xintiDivision \let\xintdivision\xintidivision
-\def\xint@division #1#2%
+\def\xint_division #1#2%
{%
- \expandafter\XINT@div@fork \romannumeral-`0#2\Z #1\Z
+ \expandafter\XINT_div_fork \romannumeral-`0#2\Z #1\Z
}%
-\def\XINT@Division #1#2{\romannumeral0\XINT@div@fork #2\Z #1\Z }%
-\def\XINT@div@fork #1#2\Z #3#4\Z
+\def\XINT_Division #1#2{\romannumeral0\XINT_div_fork #2\Z #1\Z }%
+\def\XINT_div_fork #1#2\Z #3#4\Z
{%
- \xint@UDzerofork
- #1\dummy \XINT@div@BisZero
- #3\dummy \XINT@div@AisZero
+ \xint_UDzerofork
+ #1\dummy \XINT_div_BisZero
+ #3\dummy \XINT_div_AisZero
0\dummy
- {\xint@UDsignfork
- #1\dummy \XINT@div@BisNegative % B < 0
- #3\dummy \XINT@div@AisNegative % A < 0, B > 0
- -\dummy \XINT@div@plusplus % B > 0, A > 0
- \xint@UDkrof }%
- \xint@UDkrof
+ {\xint_UDsignfork
+ #1\dummy \XINT_div_BisNegative % B < 0
+ #3\dummy \XINT_div_AisNegative % A < 0, B > 0
+ -\dummy \XINT_div_plusplus % B > 0, A > 0
+ \krof }%
+ \krof
{#2}{#4}#1#3% #1#2=B, #3#4=A
}%
-\def\XINT@div@BisZero #1#2#3#4{\xintError:DivisionByZero\space {0}{0}}%
-\def\XINT@div@AisZero #1#2#3#4{ {0}{0}}%
-\def\XINT@div@plusplus #1#2#3#4%
+\def\XINT_div_BisZero #1#2#3#4{\xintError:DivisionByZero\space {0}{0}}%
+\def\XINT_div_AisZero #1#2#3#4{ {0}{0}}%
+\def\XINT_div_plusplus #1#2#3#4%
{%
- \XINT@div@prepare {#3#1}{#4#2}%
+ \XINT_div_prepare {#3#1}{#4#2}%
}%
-\def\XINT@div@BisNegative #1#2#3#4%
+\def\XINT_div_BisNegative #1#2#3#4%
{%
- \expandafter\XINT@div@BisNegative@post
- \romannumeral0\XINT@div@fork #1\Z #4#2\Z
+ \expandafter\XINT_div_BisNegative_post
+ \romannumeral0\XINT_div_fork #1\Z #4#2\Z
}%
-\def\XINT@div@BisNegative@post #1%
+\def\XINT_div_BisNegative_post #1%
{%
- \expandafter\space\expandafter {\romannumeral0\XINT@opp #1}%
+ \expandafter\space\expandafter {\romannumeral0\XINT_opp #1}%
}%
-\def\XINT@div@AisNegative #1#2#3#4%
+\def\XINT_div_AisNegative #1#2#3#4%
{%
- \expandafter\XINT@div@AisNegative@post
- \romannumeral0\XINT@div@prepare {#3#1}{#2}{#3#1}%
+ \expandafter\XINT_div_AisNegative_post
+ \romannumeral0\XINT_div_prepare {#3#1}{#2}{#3#1}%
}%
-\def\XINT@div@AisNegative@post #1#2%
+\def\XINT_div_AisNegative_post #1#2%
{%
- \ifcase\XINT@Sgn {#2}
- \expandafter \XINT@div@AisNegative@zerorem
+ \ifcase\XINT_Sgn {#2}
+ \expandafter \XINT_div_AisNegative_zerorem
\or
- \expandafter \XINT@div@AisNegative@posrem
+ \expandafter \XINT_div_AisNegative_posrem
\fi
{#1}{#2}%
}%
-\def\XINT@div@AisNegative@zerorem #1#2#3%
+\def\XINT_div_AisNegative_zerorem #1#2#3%
{%
- \expandafter\space\expandafter {\romannumeral0\XINT@opp #1}{0}%
+ \expandafter\space\expandafter {\romannumeral0\XINT_opp #1}{0}%
}%
-\def\XINT@div@AisNegative@posrem #1%
+\def\XINT_div_AisNegative_posrem #1%
{%
- \expandafter \XINT@div@AisNegative@posrem@b \expandafter
+ \expandafter \XINT_div_AisNegative_posrem_b \expandafter
{\romannumeral0\xintiopp{\xintiAdd {#1}{1}}}%
}%
-\def\XINT@div@AisNegative@posrem@b #1#2#3%
+\def\XINT_div_AisNegative_posrem_b #1#2#3%
{%
- \expandafter \xint@exchangetwo@keepbraces@andstop \expandafter
- {\romannumeral0\XINT@sub {#3}{#2}}{#1}%
+ \expandafter \xint_exchangetwo_keepbraces_andstop \expandafter
+ {\romannumeral0\XINT_sub {#3}{#2}}{#1}%
}%
-\def\XINT@div@prepare #1%
+\def\XINT_div_prepare #1%
{%
- \expandafter \XINT@div@prepareB@aa \expandafter
- {\romannumeral0\XINT@length {#1}}{#1}% B > 0 ici
+ \expandafter \XINT_div_prepareB_aa \expandafter
+ {\romannumeral0\XINT_length {#1}}{#1}% B > 0 ici
}%
-\def\XINT@div@prepareB@aa #1%
+\def\XINT_div_prepareB_aa #1%
{%
\ifnum #1=1
- \expandafter\XINT@div@prepareB@ab
+ \expandafter\XINT_div_prepareB_ab
\else
- \expandafter\XINT@div@prepareB@a
+ \expandafter\XINT_div_prepareB_a
\fi
{#1}%
}%
-\def\XINT@div@prepareB@ab #1#2%
+\def\XINT_div_prepareB_ab #1#2%
{%
\ifnum #2=1
- \expandafter\XINT@div@prepareB@BisOne
+ \expandafter\XINT_div_prepareB_BisOne
\else
- \expandafter\XINT@div@prepareB@e
+ \expandafter\XINT_div_prepareB_e
\fi {000}{3}{4}{#2}%
}%
-\def\XINT@div@prepareB@BisOne #1#2#3#4#5{ {#5}{0}}%
-\def\XINT@div@prepareB@a #1%
+\def\XINT_div_prepareB_BisOne #1#2#3#4#5{ {#5}{0}}%
+\def\XINT_div_prepareB_a #1%
{%
- \expandafter\XINT@div@prepareB@c\expandafter{\the\numexpr 4*((#1+1)/4)}{#1}%
+ \expandafter\XINT_div_prepareB_c\expandafter{\the\numexpr 4*((#1+1)/4)}{#1}%
}%
-\def\XINT@div@prepareB@c #1#2%
+\def\XINT_div_prepareB_c #1#2%
{%
\ifcase \numexpr #1-#2\relax
- \expandafter\XINT@div@prepareB@d
+ \expandafter\XINT_div_prepareB_d
\or
- \expandafter\XINT@div@prepareB@di
+ \expandafter\XINT_div_prepareB_di
\or
- \expandafter\XINT@div@prepareB@dii
+ \expandafter\XINT_div_prepareB_dii
\or
- \expandafter\XINT@div@prepareB@diii
+ \expandafter\XINT_div_prepareB_diii
\fi {#1}%
}%
-\def\XINT@div@prepareB@d {\XINT@div@prepareB@e {}{0}}%
-\def\XINT@div@prepareB@di {\XINT@div@prepareB@e {0}{1}}%
-\def\XINT@div@prepareB@dii {\XINT@div@prepareB@e {00}{2}}%
-\def\XINT@div@prepareB@diii {\XINT@div@prepareB@e {000}{3}}%
-\def\XINT@div@prepareB@e #1#2#3#4%
+\def\XINT_div_prepareB_d {\XINT_div_prepareB_e {}{0}}%
+\def\XINT_div_prepareB_di {\XINT_div_prepareB_e {0}{1}}%
+\def\XINT_div_prepareB_dii {\XINT_div_prepareB_e {00}{2}}%
+\def\XINT_div_prepareB_diii {\XINT_div_prepareB_e {000}{3}}%
+\def\XINT_div_prepareB_e #1#2#3#4%
{%
- \XINT@div@prepareB@f #4#1\Z {#3}{#2}{#1}%
+ \XINT_div_prepareB_f #4#1\Z {#3}{#2}{#1}%
}%
-\def\XINT@div@prepareB@f #1#2#3#4#5\Z
+\def\XINT_div_prepareB_f #1#2#3#4#5\Z
{%
- \expandafter \XINT@div@prepareB@g \expandafter
- {\romannumeral0\XINT@rev {#1#2#3#4#5}}{#1#2#3#4}%
+ \expandafter \XINT_div_prepareB_g \expandafter
+ {\romannumeral0\XINT_rev {#1#2#3#4#5}}{#1#2#3#4}%
}%
-\def\XINT@div@prepareB@g #1#2#3#4#5#6%
+\def\XINT_div_prepareB_g #1#2#3#4#5#6%
{%
- \XINT@div@prepareA@a {#6#5}{#2}{#3}{#1}{#4}%
+ \XINT_div_prepareA_a {#6#5}{#2}{#3}{#1}{#4}%
}%
-\def\XINT@div@prepareA@a #1%
+\def\XINT_div_prepareA_a #1%
{%
- \expandafter \XINT@div@prepareA@b \expandafter
- {\romannumeral0\XINT@length {#1}}{#1}% A >0 ici
+ \expandafter \XINT_div_prepareA_b \expandafter
+ {\romannumeral0\XINT_length {#1}}{#1}% A >0 ici
}%
-\def\XINT@div@prepareA@b #1%
+\def\XINT_div_prepareA_b #1%
{%
- \expandafter\XINT@div@prepareA@c\expandafter{\the\numexpr 4*((#1+1)/4)}{#1}%
+ \expandafter\XINT_div_prepareA_c\expandafter{\the\numexpr 4*((#1+1)/4)}{#1}%
}%
-\def\XINT@div@prepareA@c #1#2%
+\def\XINT_div_prepareA_c #1#2%
{%
\ifcase \numexpr #1-#2\relax
- \expandafter\XINT@div@prepareA@d
+ \expandafter\XINT_div_prepareA_d
\or
- \expandafter\XINT@div@prepareA@di
+ \expandafter\XINT_div_prepareA_di
\or
- \expandafter\XINT@div@prepareA@dii
+ \expandafter\XINT_div_prepareA_dii
\or
- \expandafter\XINT@div@prepareA@diii
+ \expandafter\XINT_div_prepareA_diii
\fi {#1}%
}%
-\def\XINT@div@prepareA@d {\XINT@div@prepareA@e {}}%
-\def\XINT@div@prepareA@di {\XINT@div@prepareA@e {0}}%
-\def\XINT@div@prepareA@dii {\XINT@div@prepareA@e {00}}%
-\def\XINT@div@prepareA@diii {\XINT@div@prepareA@e {000}}%
-\def\XINT@div@prepareA@e #1#2#3%
+\def\XINT_div_prepareA_d {\XINT_div_prepareA_e {}}%
+\def\XINT_div_prepareA_di {\XINT_div_prepareA_e {0}}%
+\def\XINT_div_prepareA_dii {\XINT_div_prepareA_e {00}}%
+\def\XINT_div_prepareA_diii {\XINT_div_prepareA_e {000}}%
+\def\XINT_div_prepareA_e #1#2#3%
{%
- \XINT@div@startswitch {#1#3}{#2}%
+ \XINT_div_startswitch {#1#3}{#2}%
}%
-\def\XINT@div@startswitch #1#2#3#4%
+\def\XINT_div_startswitch #1#2#3#4%
{%
\ifnum #2 > #4
- \expandafter\XINT@div@body@a
+ \expandafter\XINT_div_body_a
\else
\ifnum #2 = #4
- \expandafter\expandafter\expandafter\XINT@div@final@a
+ \expandafter\expandafter\expandafter\XINT_div_final_a
\else
- \expandafter\expandafter\expandafter\XINT@div@finished@a
+ \expandafter\expandafter\expandafter\XINT_div_finished_a
\fi\fi {#1}{#4}{#3}{0000}{#2}%
}%
-\def\XINT@div@finished@a #1#2#3%
+\def\XINT_div_finished_a #1#2#3%
{%
- \expandafter\XINT@div@finished@b\expandafter {\romannumeral0\XINT@cuz {#1}}%
+ \expandafter\XINT_div_finished_b\expandafter {\romannumeral0\XINT_cuz {#1}}%
}%
-\def\XINT@div@finished@b #1#2#3#4#5%
+\def\XINT_div_finished_b #1#2#3#4#5%
{%
- \ifcase \XINT@Sgn {#1}
- \xint@afterfi {\XINT@div@finished@c {0}}%
+ \ifcase \XINT_Sgn {#1}
+ \xint_afterfi {\XINT_div_finished_c {0}}%
\or
- \xint@afterfi {\expandafter\XINT@div@finished@c\expandafter
- {\romannumeral0\XINT@dsh@checksignx #5\Z {#1}}%
+ \xint_afterfi {\expandafter\XINT_div_finished_c\expandafter
+ {\romannumeral0\XINT_dsh_checksignx #5\Z {#1}}%
}%
\fi
{#2}%
}%
-\def\XINT@div@finished@c #1#2%
+\def\XINT_div_finished_c #1#2%
{%
- \expandafter\space\expandafter {\romannumeral0\XINT@rev@andcuz {#2}}{#1}%
+ \expandafter\space\expandafter {\romannumeral0\XINT_rev_andcuz {#2}}{#1}%
}%
-\def\XINT@div@final@a #1%
+\def\XINT_div_final_a #1%
{%
- \XINT@div@final@b #1\Z
+ \XINT_div_final_b #1\Z
}%
-\def\XINT@div@final@b #1#2#3#4#5\Z
+\def\XINT_div_final_b #1#2#3#4#5\Z
{%
- \xint@quatrezeros #1#2#3#4\xint@div@final@c0000%
- \XINT@div@final@c {#1#2#3#4}{#1#2#3#4#5}%
+ \xint_gob_til_zeros_iv #1#2#3#4\xint_div_final_c0000%
+ \XINT_div_final_c {#1#2#3#4}{#1#2#3#4#5}%
}%
-\def\xint@div@final@c0000\XINT@div@final@c #1{\XINT@div@finished@a }%
-\def\XINT@div@final@c #1#2#3#4%
+\def\xint_div_final_c0000\XINT_div_final_c #1{\XINT_div_finished_a }%
+\def\XINT_div_final_c #1#2#3#4%
{%
- \expandafter \XINT@div@final@da \expandafter
+ \expandafter \XINT_div_final_da \expandafter
{\the\numexpr #1-(#1/#4)*#4\expandafter }\expandafter
{\the\numexpr #1/#4\expandafter }\expandafter
- {\romannumeral0\xint@cleanupzeros@andstop #2}%
+ {\romannumeral0\xint_cleanupzeros_andstop #2}%
}%
-\def\XINT@div@final@da #1%
+\def\XINT_div_final_da #1%
{%
\ifnum #1>9
- \expandafter\XINT@div@final@dP
+ \expandafter\XINT_div_final_dP
\else
- \xint@afterfi
+ \xint_afterfi
{\ifnum #1<0
- \expandafter\XINT@div@final@dN
+ \expandafter\XINT_div_final_dN
\else
- \expandafter\XINT@div@final@db
+ \expandafter\XINT_div_final_db
\fi }%
\fi
}%
-\def\XINT@div@final@dN #1%
+\def\XINT_div_final_dN #1%
{%
- \expandafter\XINT@div@final@dP\the\numexpr #1-1\relax
+ \expandafter\XINT_div_final_dP\the\numexpr #1-1\relax
}%
-\def\XINT@div@final@dP #1#2#3#4#5% q,A,Q,L,B (puis c)
+\def\XINT_div_final_dP #1#2#3#4#5% q,A,Q,L,B (puis c)
{%
- \expandafter \XINT@div@final@f \expandafter
+ \expandafter \XINT_div_final_f \expandafter
{\romannumeral0\xintisub {#2}%
- {\romannumeral0\XINT@mul@M {#1}#5\Z\Z\Z\Z }}%
- {\romannumeral0\XINT@add@A 0{}#1000\W\X\Y\Z #3\W\X\Y\Z }%
+ {\romannumeral0\XINT_mul_M {#1}#5\Z\Z\Z\Z }}%
+ {\romannumeral0\XINT_add_A 0{}#1000\W\X\Y\Z #3\W\X\Y\Z }%
}%
-\def\XINT@div@final@db #1#2#3#4#5% q,A,Q,L,B (puis c)
+\def\XINT_div_final_db #1#2#3#4#5% q,A,Q,L,B (puis c)
{%
- \expandafter\XINT@div@final@dc\expandafter
+ \expandafter\XINT_div_final_dc\expandafter
{\romannumeral0\xintisub {#2}%
- {\romannumeral0\XINT@mul@M {#1}#5\Z\Z\Z\Z }}%
+ {\romannumeral0\XINT_mul_M {#1}#5\Z\Z\Z\Z }}%
{#1}{#2}{#3}{#4}{#5}%
}%
-\def\XINT@div@final@dc #1#2%
+\def\XINT_div_final_dc #1#2%
{%
- \ifnum\XINT@Sgn{#1}<0
- \xint@afterfi {\expandafter\XINT@div@final@dP\the\numexpr #2-1\relax}%
- \else \xint@afterfi {\XINT@div@final@e {#1}#2}%
+ \ifnum\XINT_Sgn{#1}<0
+ \xint_afterfi {\expandafter\XINT_div_final_dP\the\numexpr #2-1\relax}%
+ \else \xint_afterfi {\XINT_div_final_e {#1}#2}%
\fi
}%
-\def\XINT@div@final@e #1#2#3#4#5#6% A final, q, trash, Q, L, B
+\def\XINT_div_final_e #1#2#3#4#5#6% A final, q, trash, Q, L, B
{%
- \XINT@div@final@f {#1}%
- {\romannumeral0\XINT@add@A 0{}#2000\W\X\Y\Z #4\W\X\Y\Z }%
+ \XINT_div_final_f {#1}%
+ {\romannumeral0\XINT_add_A 0{}#2000\W\X\Y\Z #4\W\X\Y\Z }%
}%
-\def\XINT@div@final@f #1#2#3% R,Q \`a d\'evelopper,c
+\def\XINT_div_final_f #1#2#3% R,Q \`a d\'evelopper,c
{%
- \ifcase \XINT@Sgn {#1}
- \xint@afterfi {\XINT@div@final@end {0}}%
+ \ifcase \XINT_Sgn {#1}
+ \xint_afterfi {\XINT_div_final_end {0}}%
\or
- \xint@afterfi {\expandafter\XINT@div@final@end\expandafter
- {\romannumeral0\XINT@dsh@checksignx #3\Z {#1}}%
+ \xint_afterfi {\expandafter\XINT_div_final_end\expandafter
+ {\romannumeral0\XINT_dsh_checksignx #3\Z {#1}}%
}%
\fi
{#2}%
}%
-\def\XINT@div@final@end #1#2%
+\def\XINT_div_final_end #1#2%
{%
\expandafter\space\expandafter {#2}{#1}%
}%
-\def\XINT@div@body@a #1%
+\def\XINT_div_body_a #1%
{%
- \XINT@div@body@b #1\Z {#1}%
+ \XINT_div_body_b #1\Z {#1}%
}%
-\def\XINT@div@body@b #1#2#3#4#5#6#7#8#9\Z
+\def\XINT_div_body_b #1#2#3#4#5#6#7#8#9\Z
{%
- \XINT@div@body@c {#1#2#3#4#5#6#7#8}%
+ \XINT_div_body_c {#1#2#3#4#5#6#7#8}%
}%
-\def\XINT@div@body@c #1#2#3%
+\def\XINT_div_body_c #1#2#3%
{%
- \XINT@div@body@d {#3}{}#2\Z {#1}{#3}%
+ \XINT_div_body_d {#3}{}#2\Z {#1}{#3}%
}%
-\def\XINT@div@body@d #1#2#3#4#5#6%
+\def\XINT_div_body_d #1#2#3#4#5#6%
{%
\ifnum #1 > 0
- \expandafter\XINT@div@body@d
+ \expandafter\XINT_div_body_d
\expandafter{\the\numexpr #1-4\expandafter }%
\else
- \expandafter\XINT@div@body@e
+ \expandafter\XINT_div_body_e
\fi
{#6#5#4#3#2}%
}%
-\def\XINT@div@body@e #1#2\Z #3%
+\def\XINT_div_body_e #1#2\Z #3%
{%
- \XINT@div@body@f {#3}{#1}{#2}%
+ \XINT_div_body_f {#3}{#1}{#2}%
}%
-\def\XINT@div@body@f #1#2#3#4#5#6#7#8%
+\def\XINT_div_body_f #1#2#3#4#5#6#7#8%
{%
- \expandafter\XINT@div@body@gg
+ \expandafter\XINT_div_body_gg
\the\numexpr (#1+(#5+1)/2)/(#5+1)+99999\relax
{#8}{#2}{#8}{#4}{#5}{#3}{#6}{#7}{#8}%
}%
-\def\XINT@div@body@gg #1#2#3#4#5#6%
+\def\XINT_div_body_gg #1#2#3#4#5#6%
{%
- \xint@UDzerofork
- #2\dummy \XINT@div@body@gk
- 0\dummy {\XINT@div@body@ggk #2}%
- \xint@UDkrof
+ \xint_UDzerofork
+ #2\dummy \XINT_div_body_gk
+ 0\dummy {\XINT_div_body_ggk #2}%
+ \krof
{#3#4#5#6}%
}%
-\def\XINT@div@body@gk #1#2#3%
+\def\XINT_div_body_gk #1#2#3%
{%
- \expandafter\XINT@div@body@h
- \romannumeral0\XINT@div@sub@xpxp
- {\romannumeral0\XINT@mul@Mr {#1}#2\Z\Z\Z\Z }{#3}\Z {#1}%
+ \expandafter\XINT_div_body_h
+ \romannumeral0\XINT_div_sub_xpxp
+ {\romannumeral0\XINT_mul_Mr {#1}#2\Z\Z\Z\Z }{#3}\Z {#1}%
}%
-\def\XINT@div@body@ggk #1#2#3%
+\def\XINT_div_body_ggk #1#2#3%
{%
- \expandafter \XINT@div@body@gggk \expandafter
- {\romannumeral0\XINT@mul@Mr {#1}0000#3\Z\Z\Z\Z }%
- {\romannumeral0\XINT@mul@Mr {#2}#3\Z\Z\Z\Z }%
+ \expandafter \XINT_div_body_gggk \expandafter
+ {\romannumeral0\XINT_mul_Mr {#1}0000#3\Z\Z\Z\Z }%
+ {\romannumeral0\XINT_mul_Mr {#2}#3\Z\Z\Z\Z }%
{#1#2}%
}%
-\def\XINT@div@body@gggk #1#2#3#4%
+\def\XINT_div_body_gggk #1#2#3#4%
{%
- \expandafter\XINT@div@body@h
- \romannumeral0\XINT@div@sub@xpxp
- {\romannumeral0\expandafter\XINT@mul@Ar
+ \expandafter\XINT_div_body_h
+ \romannumeral0\XINT_div_sub_xpxp
+ {\romannumeral0\expandafter\XINT_mul_Ar
\expandafter0\expandafter{\expandafter}#2\W\X\Y\Z #1\W\X\Y\Z }%
{#4}\Z {#3}%
}%
-\def\XINT@div@body@h #1#2#3#4#5#6#7#8#9\Z
+\def\XINT_div_body_h #1#2#3#4#5#6#7#8#9\Z
{%
\ifnum #1#2#3#4>0
- \xint@afterfi{\XINT@div@body@i {#1#2#3#4#5#6#7#8}}%
+ \xint_afterfi{\XINT_div_body_i {#1#2#3#4#5#6#7#8}}%
\else
- \expandafter\XINT@div@body@k
+ \expandafter\XINT_div_body_k
\fi
{#1#2#3#4#5#6#7#8#9}%
}%
-\def\XINT@div@body@k #1#2#3%
+\def\XINT_div_body_k #1#2#3%
{%
- \XINT@div@body@l {#1}{#2}%
+ \XINT_div_body_l {#1}{#2}%
}%
-\def\XINT@div@body@i #1#2#3#4#5#6%
+\def\XINT_div_body_i #1#2#3#4#5#6%
{%
- \expandafter\XINT@div@body@j
+ \expandafter\XINT_div_body_j
\expandafter{\the\numexpr (#1+(#6+1)/2)/(#6+1)-1}%
{#2}{#3}{#4}{#5}{#6}%
}%
-\def\XINT@div@body@j #1#2#3#4%
+\def\XINT_div_body_j #1#2#3#4%
{%
- \expandafter \XINT@div@body@l \expandafter
- {\romannumeral0\XINT@div@sub@xpxp
- {\romannumeral0\XINT@mul@Mr {#1}#4\Z\Z\Z\Z }{\XINT@Rev{#2}}}%
+ \expandafter \XINT_div_body_l \expandafter
+ {\romannumeral0\XINT_div_sub_xpxp
+ {\romannumeral0\XINT_mul_Mr {#1}#4\Z\Z\Z\Z }{\XINT_Rev{#2}}}%
{#3+#1}%
}%
-\def\XINT@div@body@l #1#2#3#4#5#6#7%
+\def\XINT_div_body_l #1#2#3#4#5#6#7%
{%
- \expandafter\XINT@div@body@m
+ \expandafter\XINT_div_body_m
\the\numexpr 100000000+#2\relax {#6}{#3}{#7}{#1#5}{#4}%
}%
-\def\XINT@div@body@m #1#2#3#4#5#6#7#8#9%
+\def\XINT_div_body_m #1#2#3#4#5#6#7#8#9%
{%
\ifnum #2#3#4#5>0
- \xint@afterfi {\XINT@div@body@n {#9#8#7#6#5#4#3#2}}%
+ \xint_afterfi {\XINT_div_body_n {#9#8#7#6#5#4#3#2}}%
\else
- \xint@afterfi {\XINT@div@body@n {#9#8#7#6}}%
+ \xint_afterfi {\XINT_div_body_n {#9#8#7#6}}%
\fi
}%
-\def\XINT@div@body@n #1#2%
+\def\XINT_div_body_n #1#2%
{%
- \expandafter\XINT@div@body@o\expandafter
- {\romannumeral0\XINT@addr@A 0{}#1\W\X\Y\Z #2\W\X\Y\Z }%
+ \expandafter\XINT_div_body_o\expandafter
+ {\romannumeral0\XINT_addr_A 0{}#1\W\X\Y\Z #2\W\X\Y\Z }%
}%
-\def\XINT@div@body@o #1#2#3#4%
+\def\XINT_div_body_o #1#2#3#4%
{%
- \XINT@div@body@p {#3}{#2}{}#4\Z {#1}%
+ \XINT_div_body_p {#3}{#2}{}#4\Z {#1}%
}%
-\def\XINT@div@body@p #1#2#3#4#5#6#7%
+\def\XINT_div_body_p #1#2#3#4#5#6#7%
{%
\ifnum #1 > #2
- \xint@afterfi
+ \xint_afterfi
{\ifnum #4#5#6#7 > 0
- \expandafter\XINT@div@body@q
+ \expandafter\XINT_div_body_q
\else
- \expandafter\XINT@div@body@repeatp
+ \expandafter\XINT_div_body_repeatp
\fi }%
\else
- \expandafter\XINT@div@gotofinal@a
+ \expandafter\XINT_div_gotofinal_a
\fi
{#1}{#2}{#3}#4#5#6#7%
}%
-\def\XINT@div@body@repeatp #1#2#3#4#5#6#7%
+\def\XINT_div_body_repeatp #1#2#3#4#5#6#7%
{%
- \expandafter\XINT@div@body@p\expandafter{\the\numexpr #1-4}{#2}{0000#3}%
+ \expandafter\XINT_div_body_p\expandafter{\the\numexpr #1-4}{#2}{0000#3}%
}%
-\def\XINT@div@body@q #1#2#3#4\Z #5#6%
+\def\XINT_div_body_q #1#2#3#4\Z #5#6%
{%
- \XINT@div@body@b #4\Z {#4}{#2}{#6}{#3#5}{#1}%
+ \XINT_div_body_b #4\Z {#4}{#2}{#6}{#3#5}{#1}%
}%
-\def\XINT@div@gotofinal@a #1#2#3#4\Z %
+\def\XINT_div_gotofinal_a #1#2#3#4\Z %
{%
- \XINT@div@gotofinal@b #3\Z {#4}{#1}%
+ \XINT_div_gotofinal_b #3\Z {#4}{#1}%
}%
-\def\XINT@div@gotofinal@b 0000#1\Z #2#3#4#5%
+\def\XINT_div_gotofinal_b 0000#1\Z #2#3#4#5%
{%
- \XINT@div@final@a {#2}{#3}{#5}{#1#4}{#3}%
+ \XINT_div_final_a {#2}{#3}{#5}{#1#4}{#3}%
}%
-\def\XINT@div@sub@xpxp #1%
+\def\XINT_div_sub_xpxp #1%
{%
- \expandafter \XINT@div@sub@xpxp@ \expandafter{#1}%
+ \expandafter \XINT_div_sub_xpxp_ \expandafter{#1}%
}%
-\def\XINT@div@sub@xpxp@ #1#2%
+\def\XINT_div_sub_xpxp_ #1#2%
{%
- \expandafter\expandafter\expandafter\XINT@div@sub@xpxp@@
+ \expandafter\expandafter\expandafter\XINT_div_sub_xpxp__
#2\W\X\Y\Z #1\W\X\Y\Z
}%
-\def\XINT@div@sub@xpxp@@
+\def\XINT_div_sub_xpxp__
{%
- \XINT@div@sub@A 1{}%
+ \XINT_div_sub_A 1{}%
}%
-\def\XINT@div@sub@A #1#2#3#4#5#6%
+\def\XINT_div_sub_A #1#2#3#4#5#6%
{%
- \xint@w #3\xint@div@sub@az\W
- \XINT@div@sub@B #1{#3#4#5#6}{#2}%
+ \xint_gob_til_w #3\xint_div_sub_az\W
+ \XINT_div_sub_B #1{#3#4#5#6}{#2}%
}%
-\def\XINT@div@sub@B #1#2#3#4\W\X\Y\Z #5#6#7#8%
+\def\XINT_div_sub_B #1#2#3#4\W\X\Y\Z #5#6#7#8%
{%
- \xint@w #5\xint@div@sub@bz\W
- \XINT@div@sub@onestep #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
+ \xint_gob_til_w #5\xint_div_sub_bz\W
+ \XINT_div_sub_onestep #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z
}%
-\def\XINT@div@sub@onestep #1#2#3#4#5#6%
+\def\XINT_div_sub_onestep #1#2#3#4#5#6%
{%
- \expandafter\XINT@div@sub@backtoA\the\numexpr 11#5#4#3#2-#6+#1-1\relax.%
+ \expandafter\XINT_div_sub_backtoA\the\numexpr 11#5#4#3#2-#6+#1-1\relax.%
}%
-\def\XINT@div@sub@backtoA #1#2#3.#4%
+\def\XINT_div_sub_backtoA #1#2#3.#4%
{%
- \XINT@div@sub@A #2{#3#4}%
+ \XINT_div_sub_A #2{#3#4}%
}%
-\def\xint@div@sub@bz\W\XINT@div@sub@onestep #1#2#3#4#5#6#7%
+\def\xint_div_sub_bz\W\XINT_div_sub_onestep #1#2#3#4#5#6#7%
{%
- \xint@UDzerofork
- #1\dummy \XINT@div@sub@C %
- 0\dummy \XINT@div@sub@D % pas de retenue
- \xint@UDkrof
+ \xint_UDzerofork
+ #1\dummy \XINT_div_sub_C %
+ 0\dummy \XINT_div_sub_D % pas de retenue
+ \krof
{#7}#2#3#4#5%
}%
-\def\XINT@div@sub@D #1#2\W\X\Y\Z
+\def\XINT_div_sub_D #1#2\W\X\Y\Z
{%
\expandafter\space
\romannumeral0%
- \XINT@rord@main {}#2%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#2%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
#1%
}%
-\def\XINT@div@sub@C #1#2#3#4#5%
+\def\XINT_div_sub_C #1#2#3#4#5%
{%
- \xint@w #2\xint@div@sub@cz\W
- \XINT@div@sub@AC@onestep {#5#4#3#2}{#1}%
+ \xint_gob_til_w #2\xint_div_sub_cz\W
+ \XINT_div_sub_AC_onestep {#5#4#3#2}{#1}%
}%
-\def\XINT@div@sub@AC@onestep #1%
+\def\XINT_div_sub_AC_onestep #1%
{%
- \expandafter\XINT@div@sub@backtoC\the\numexpr 11#1-1\relax.%
+ \expandafter\XINT_div_sub_backtoC\the\numexpr 11#1-1\relax.%
}%
-\def\XINT@div@sub@backtoC #1#2#3.#4%
+\def\XINT_div_sub_backtoC #1#2#3.#4%
{%
- \XINT@div@sub@AC@checkcarry #2{#3#4}% la retenue va \^etre examin\'ee
+ \XINT_div_sub_AC_checkcarry #2{#3#4}% la retenue va \^etre examin\'ee
}%
-\def\XINT@div@sub@AC@checkcarry #1%
+\def\XINT_div_sub_AC_checkcarry #1%
{%
- \xint@one #1\xint@div@sub@AC@nocarry 1\XINT@div@sub@C
+ \xint_gob_til_one #1\xint_div_sub_AC_nocarry 1\XINT_div_sub_C
}%
-\def\xint@div@sub@AC@nocarry 1\XINT@div@sub@C #1#2\W\X\Y\Z
+\def\xint_div_sub_AC_nocarry 1\XINT_div_sub_C #1#2\W\X\Y\Z
{%
\expandafter\space
\romannumeral0%
- \XINT@rord@main {}#2%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#2%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
#1%
}%
-\def\xint@div@sub@cz\W\XINT@div@sub@AC@onestep #1#2{ #2}%
-\def\xint@div@sub@az\W\XINT@div@sub@B #1#2#3#4\Z { #3}%
+\def\xint_div_sub_cz\W\XINT_div_sub_AC_onestep #1#2{ #2}%
+\def\xint_div_sub_az\W\XINT_div_sub_B #1#2#3#4\Z { #3}%
\def\xintiFDg {\romannumeral0\xintifdg }%
\def\xintifdg #1%
{%
- \expandafter\XINT@fdg \romannumeral-`0#1\W\Z
+ \expandafter\XINT_fdg \romannumeral-`0#1\W\Z
}%
\let\xintFDg\xintiFDg \let\xintfdg\xintifdg
-\def\XINT@FDg #1{\romannumeral0\XINT@fdg #1\W\Z }%
-\def\XINT@fdg #1#2#3\Z
+\def\XINT_FDg #1{\romannumeral0\XINT_fdg #1\W\Z }%
+\def\XINT_fdg #1#2#3\Z
{%
- \xint@UDzerominusfork
+ \xint_UDzerominusfork
#1-\dummy { 0}% zero
0#1\dummy { #2}% negative
0-\dummy { #1}% positive
- \xint@UDkrof
+ \krof
}%
\def\xintiLDg {\romannumeral0\xintildg }%
\def\xintildg #1%
{%
- \expandafter\XINT@ldg\expandafter {\romannumeral-`0#1}%
+ \expandafter\XINT_ldg\expandafter {\romannumeral-`0#1}%
}%
\let\xintLDg\xintiLDg \let\xintldg\xintildg
-\def\XINT@LDg #1{\romannumeral0\XINT@ldg {#1}}%
-\def\XINT@ldg #1%
+\def\XINT_LDg #1{\romannumeral0\XINT_ldg {#1}}%
+\def\XINT_ldg #1%
{%
- \expandafter\XINT@ldg@\romannumeral0\XINT@rev {#1}\Z
+ \expandafter\XINT_ldg_\romannumeral0\XINT_rev {#1}\Z
}%
-\def\XINT@ldg@ #1#2\Z{ #1}%
+\def\XINT_ldg_ #1#2\Z{ #1}%
\def\xintiMON {\romannumeral0\xintimon }%
\def\xintimon #1%
{%
\ifodd\xintiLDg {#1}
- \xint@afterfi{ -1}%
+ \xint_afterfi{ -1}%
\else
- \xint@afterfi{ 1}%
+ \xint_afterfi{ 1}%
\fi
}%
\def\xintiMMON {\romannumeral0\xintimmon }%
\def\xintimmon #1%
{%
\ifodd\xintiLDg {#1}
- \xint@afterfi{ 1}%
+ \xint_afterfi{ 1}%
\else
- \xint@afterfi{ -1}%
+ \xint_afterfi{ -1}%
\fi
}%
\let\xintMON\xintiMON \let\xintmon\xintimon
@@ -2820,198 +2840,198 @@
\def\xintiodd #1%
{%
\ifodd\xintiLDg{#1}
- \xint@afterfi{ 1}%
+ \xint_afterfi{ 1}%
\else
- \xint@afterfi{ 0}%
+ \xint_afterfi{ 0}%
\fi
}%
-\def\XINT@Odd #1%
+\def\XINT_Odd #1%
{\romannumeral0%
- \ifodd\XINT@LDg{#1}
- \xint@afterfi{ 1}%
+ \ifodd\XINT_LDg{#1}
+ \xint_afterfi{ 1}%
\else
- \xint@afterfi{ 0}%
+ \xint_afterfi{ 0}%
\fi
}%
\let\xintOdd\xintiOdd \let\xintodd\xintiodd
\def\xintDSL {\romannumeral0\xintdsl }%
\def\xintdsl #1%
{%
- \expandafter\XINT@dsl \romannumeral-`0#1\Z
+ \expandafter\XINT_dsl \romannumeral-`0#1\Z
}%
-\def\XINT@DSL #1{\romannumeral0\XINT@dsl #1\Z }%
-\def\XINT@dsl #1%
+\def\XINT_DSL #1{\romannumeral0\XINT_dsl #1\Z }%
+\def\XINT_dsl #1%
{%
- \xint@zero #1\xint@dsl@zero 0\XINT@dsl@ #1%
+ \xint_gob_til_zero #1\xint_dsl_zero 0\XINT_dsl_ #1%
}%
-\def\xint@dsl@zero 0\XINT@dsl@ 0#1\Z { 0}%
-\def\XINT@dsl@ #1\Z { #10}%
+\def\xint_dsl_zero 0\XINT_dsl_ 0#1\Z { 0}%
+\def\XINT_dsl_ #1\Z { #10}%
\def\xintDSR {\romannumeral0\xintdsr }%
\def\xintdsr #1%
{%
- \expandafter\XINT@dsr@a\expandafter {\romannumeral-`0#1}\W\Z
+ \expandafter\XINT_dsr_a\expandafter {\romannumeral-`0#1}\W\Z
}%
-\def\XINT@DSR #1{\romannumeral0\XINT@dsr@a {#1}\W\Z }%
-\def\XINT@dsr@a
+\def\XINT_DSR #1{\romannumeral0\XINT_dsr_a {#1}\W\Z }%
+\def\XINT_dsr_a
{%
- \expandafter\XINT@dsr@b\romannumeral0\XINT@rev
+ \expandafter\XINT_dsr_b\romannumeral0\XINT_rev
}%
-\def\XINT@dsr@b #1#2#3\Z
+\def\XINT_dsr_b #1#2#3\Z
{%
- \xint@w #2\xint@dsr@onedigit\W
- \xint@minus #2\xint@dsr@onedigit-%
- \expandafter\XINT@dsr@removew
- \romannumeral0\XINT@rev {#2#3}%
+ \xint_gob_til_w #2\xint_dsr_onedigit\W
+ \xint_minus #2\xint_dsr_onedigit-%
+ \expandafter\XINT_dsr_removew
+ \romannumeral0\XINT_rev {#2#3}%
}%
-\def\xint@dsr@onedigit #1\XINT@rev #2{ 0}%
-\def\XINT@dsr@removew #1\W { }%
+\def\xint_dsr_onedigit #1\XINT_rev #2{ 0}%
+\def\XINT_dsr_removew #1\W { }%
\def\xintDSHr {\romannumeral0\xintdshr }%
\def\xintdshr #1%
{%
- \expandafter\XINT@dshr@checkxpositive \the\numexpr #1\relax\Z
+ \expandafter\XINT_dshr_checkxpositive \the\numexpr #1\relax\Z
}%
-\def\XINT@dshr@checkxpositive #1%
+\def\XINT_dshr_checkxpositive #1%
{%
- \xint@UDzerominusfork
- 0#1\dummy \XINT@dshr@xzeroorneg
- #1-\dummy \XINT@dshr@xzeroorneg
- 0-\dummy \XINT@dshr@xpositive
- \xint@UDkrof #1%
+ \xint_UDzerominusfork
+ 0#1\dummy \XINT_dshr_xzeroorneg
+ #1-\dummy \XINT_dshr_xzeroorneg
+ 0-\dummy \XINT_dshr_xpositive
+ \krof #1%
}%
-\def\XINT@dshr@xzeroorneg #1\Z #2{ 0}%
-\def\XINT@dshr@xpositive #1\Z
+\def\XINT_dshr_xzeroorneg #1\Z #2{ 0}%
+\def\XINT_dshr_xpositive #1\Z
{%
- \expandafter\xint@secondoftwo@andstop\romannumeral0\xintdsx {#1}%
+ \expandafter\xint_secondoftwo_andstop\romannumeral0\xintdsx {#1}%
}%
\def\xintDSH {\romannumeral0\xintdsh }%
\def\xintdsh #1#2%
{%
- \expandafter\xint@dsh\expandafter {\romannumeral-`0#2}{#1}%
+ \expandafter\xint_dsh\expandafter {\romannumeral-`0#2}{#1}%
}%
-\def\xint@dsh #1#2%
+\def\xint_dsh #1#2%
{%
- \expandafter\XINT@dsh@checksignx \the\numexpr #2\relax\Z {#1}%
+ \expandafter\XINT_dsh_checksignx \the\numexpr #2\relax\Z {#1}%
}%
-\def\XINT@dsh@checksignx #1%
+\def\XINT_dsh_checksignx #1%
{%
- \xint@UDzerominusfork
- #1-\dummy \XINT@dsh@xiszero
- 0#1\dummy \XINT@dsx@xisNeg@checkA % on passe direct dans DSx
- 0-\dummy {\XINT@dsh@xisPos #1}%
- \xint@UDkrof
+ \xint_UDzerominusfork
+ #1-\dummy \XINT_dsh_xiszero
+ 0#1\dummy \XINT_dsx_xisNeg_checkA % on passe direct dans DSx
+ 0-\dummy {\XINT_dsh_xisPos #1}%
+ \krof
}%
-\def\XINT@dsh@xiszero #1\Z #2{ #2}%
-\def\XINT@dsh@xisPos #1\Z #2%
+\def\XINT_dsh_xiszero #1\Z #2{ #2}%
+\def\XINT_dsh_xisPos #1\Z #2%
{%
- \expandafter\xint@firstoftwo@andstop
- \romannumeral0\XINT@dsx@checksignA #2\Z {#1}% via DSx
+ \expandafter\xint_firstoftwo_andstop
+ \romannumeral0\XINT_dsx_checksignA #2\Z {#1}% via DSx
}%
\def\xintDSx {\romannumeral0\xintdsx }%
\def\xintdsx #1#2%
{%
- \expandafter\xint@dsx\expandafter {\romannumeral-`0#2}{#1}%
+ \expandafter\xint_dsx\expandafter {\romannumeral-`0#2}{#1}%
}%
-\def\xint@dsx #1#2%
+\def\xint_dsx #1#2%
{%
- \expandafter\XINT@dsx@checksignx \the\numexpr #2\relax\Z {#1}%
+ \expandafter\XINT_dsx_checksignx \the\numexpr #2\relax\Z {#1}%
}%
-\def\XINT@DSx #1#2{\romannumeral0\XINT@dsx@checksignx #1\Z {#2}}%
-\def\XINT@dsx #1#2{\XINT@dsx@checksignx #1\Z {#2}}%
-\def\XINT@dsx@checksignx #1%
+\def\XINT_DSx #1#2{\romannumeral0\XINT_dsx_checksignx #1\Z {#2}}%
+\def\XINT_dsx #1#2{\XINT_dsx_checksignx #1\Z {#2}}%
+\def\XINT_dsx_checksignx #1%
{%
- \xint@UDzerominusfork
- #1-\dummy \XINT@dsx@xisZero
- 0#1\dummy \XINT@dsx@xisNeg@checkA
- 0-\dummy {\XINT@dsx@xisPos #1}%
- \xint@UDkrof
+ \xint_UDzerominusfork
+ #1-\dummy \XINT_dsx_xisZero
+ 0#1\dummy \XINT_dsx_xisNeg_checkA
+ 0-\dummy {\XINT_dsx_xisPos #1}%
+ \krof
}%
-\def\XINT@dsx@xisZero #1\Z #2{ {#2}{0}}% attention comme x > 0
-\def\XINT@dsx@xisNeg@checkA #1\Z #2%
+\def\XINT_dsx_xisZero #1\Z #2{ {#2}{0}}% attention comme x > 0
+\def\XINT_dsx_xisNeg_checkA #1\Z #2%
{%
- \XINT@dsx@xisNeg@checkA@ #2\Z {#1}%
+ \XINT_dsx_xisNeg_checkA_ #2\Z {#1}%
}%
-\def\XINT@dsx@xisNeg@checkA@ #1#2\Z #3%
+\def\XINT_dsx_xisNeg_checkA_ #1#2\Z #3%
{%
- \xint@zero #1\XINT@dsx@xisNeg@Azero 0%
- \XINT@dsx@xisNeg@checkx {#3}{#3}\Z {#1#2}%
+ \xint_gob_til_zero #1\XINT_dsx_xisNeg_Azero 0%
+ \XINT_dsx_xisNeg_checkx {#3}{#3}\Z {#1#2}%
}%
-\def\XINT@dsx@xisNeg@Azero #1\Z #2{ 0}%
-\def\XINT@dsx@xisNeg@checkx #1%
+\def\XINT_dsx_xisNeg_Azero #1\Z #2{ 0}%
+\def\XINT_dsx_xisNeg_checkx #1%
{%
- \ifnum #1> 999999999
- \xint@afterfi
+ \ifnum #1>999999999
+ \xint_afterfi
{\xintError:TooBigDecimalShift
- \expandafter\space\expandafter 0\xint@gobble@iii }%
+ \expandafter\space\expandafter 0\xint_gobble_iii }%
\else
- \expandafter \XINT@dsx@zeroloop
+ \expandafter \XINT_dsx_zeroloop
\fi
}%
-\def\XINT@dsx@zeroloop #1%
+\def\XINT_dsx_zeroloop #1%
{%
- \ifnum #1<9 \XINT@dsx@exita\fi
- \expandafter\XINT@dsx@zeroloop\expandafter
+ \ifnum #1<9 \XINT_dsx_exita\fi
+ \expandafter\XINT_dsx_zeroloop\expandafter
{\the\numexpr #1-8}00000000%
}%
-\def\XINT@dsx@exita\fi\expandafter\XINT@dsx@zeroloop
+\def\XINT_dsx_exita\fi\expandafter\XINT_dsx_zeroloop
{%
- \fi\expandafter\XINT@dsx@exitb
+ \fi\expandafter\XINT_dsx_exitb
}%
-\def\XINT@dsx@exitb #1%
+\def\XINT_dsx_exitb #1%
{%
\expandafter\expandafter\expandafter
- \XINT@dsx@addzeros\csname xint@gobble@\romannumeral -#1\endcsname
+ \XINT_dsx_addzeros\csname xint_gobble_\romannumeral -#1\endcsname
}%
-\def\XINT@dsx@addzeros #1\Z #2{ #2#1}%
-\def\XINT@dsx@xisPos #1\Z #2%
+\def\XINT_dsx_addzeros #1\Z #2{ #2#1}%
+\def\XINT_dsx_xisPos #1\Z #2%
{%
- \XINT@dsx@checksignA #2\Z {#1}%
+ \XINT_dsx_checksignA #2\Z {#1}%
}%
-\def\XINT@dsx@checksignA #1%
+\def\XINT_dsx_checksignA #1%
{%
- \xint@UDzerominusfork
- #1-\dummy \XINT@dsx@AisZero
- 0#1\dummy \XINT@dsx@AisNeg
- 0-\dummy {\XINT@dsx@AisPos #1}%
- \xint@UDkrof
+ \xint_UDzerominusfork
+ #1-\dummy \XINT_dsx_AisZero
+ 0#1\dummy \XINT_dsx_AisNeg
+ 0-\dummy {\XINT_dsx_AisPos #1}%
+ \krof
}%
-\def\XINT@dsx@AisZero #1\Z #2{ {0}{0}}%
-\def\XINT@dsx@AisNeg #1\Z #2%
+\def\XINT_dsx_AisZero #1\Z #2{ {0}{0}}%
+\def\XINT_dsx_AisNeg #1\Z #2%
{%
- \expandafter\XINT@dsx@AisNeg@dosplit@andcheckfirst
- \romannumeral0\XINT@split@checksizex {#2}{#1}%
+ \expandafter\XINT_dsx_AisNeg_dosplit_andcheckfirst
+ \romannumeral0\XINT_split_checksizex {#2}{#1}%
}%
-\def\XINT@dsx@AisNeg@dosplit@andcheckfirst #1%
+\def\XINT_dsx_AisNeg_dosplit_andcheckfirst #1%
{%
- \XINT@dsx@AisNeg@checkiffirstempty #1\Z
+ \XINT_dsx_AisNeg_checkiffirstempty #1\Z
}%
-\def\XINT@dsx@AisNeg@checkiffirstempty #1%
+\def\XINT_dsx_AisNeg_checkiffirstempty #1%
{%
- \xint@z #1\XINT@dsx@AisNeg@finish@zero\Z
- \XINT@dsx@AisNeg@finish@notzero #1%
+ \xint_gob_til_z #1\XINT_dsx_AisNeg_finish_zero\Z
+ \XINT_dsx_AisNeg_finish_notzero #1%
}%
-\def\XINT@dsx@AisNeg@finish@zero\Z
- \XINT@dsx@AisNeg@finish@notzero\Z #1%
+\def\XINT_dsx_AisNeg_finish_zero\Z
+ \XINT_dsx_AisNeg_finish_notzero\Z #1%
{%
- \expandafter\XINT@dsx@end
- \expandafter {\romannumeral0\XINT@num {-#1}}{0}%
+ \expandafter\XINT_dsx_end
+ \expandafter {\romannumeral0\XINT_num {-#1}}{0}%
}%
-\def\XINT@dsx@AisNeg@finish@notzero #1\Z #2%
+\def\XINT_dsx_AisNeg_finish_notzero #1\Z #2%
{%
- \expandafter\XINT@dsx@end
- \expandafter {\romannumeral0\XINT@num {#2}}{-#1}%
+ \expandafter\XINT_dsx_end
+ \expandafter {\romannumeral0\XINT_num {#2}}{-#1}%
}%
-\def\XINT@dsx@AisPos #1\Z #2%
+\def\XINT_dsx_AisPos #1\Z #2%
{%
- \expandafter\XINT@dsx@AisPos@finish
- \romannumeral0\XINT@split@checksizex {#2}{#1}%
+ \expandafter\XINT_dsx_AisPos_finish
+ \romannumeral0\XINT_split_checksizex {#2}{#1}%
}%
-\def\XINT@dsx@AisPos@finish #1#2%
+\def\XINT_dsx_AisPos_finish #1#2%
{%
- \expandafter\XINT@dsx@end
- \expandafter {\romannumeral0\XINT@num {#2}}%
- {\romannumeral0\XINT@num {#1}}%
+ \expandafter\XINT_dsx_end
+ \expandafter {\romannumeral0\XINT_num {#2}}%
+ {\romannumeral0\XINT_num {#1}}%
}%
-\def\XINT@dsx@end #1#2%
+\def\XINT_dsx_end #1#2%
{%
\expandafter\space\expandafter{#2}{#1}%
}%
@@ -3019,156 +3039,158 @@
\def\xintDecSplitR {\romannumeral0\xintdecsplitr }%
\def\xintdecsplitl
{%
- \expandafter\xint@firstoftwo@andstop
+ \expandafter\xint_firstoftwo_andstop
\romannumeral0\xintdecsplit
}%
\def\xintdecsplitr
{%
- \expandafter\xint@secondoftwo@andstop
+ \expandafter\xint_secondoftwo_andstop
\romannumeral0\xintdecsplit
}%
\def\xintDecSplit {\romannumeral0\xintdecsplit }%
\def\xintdecsplit #1#2%
{%
- \expandafter \xint@split \expandafter
+ \expandafter \xint_split \expandafter
{\romannumeral0\xintiabs {#2}}{#1}% fait expansion de A
}%
-\def\xint@split #1#2%
+\def\xint_split #1#2%
{%
- \expandafter\XINT@split@checksizex\expandafter{\the\numexpr #2}{#1}%
+ \expandafter\XINT_split_checksizex\expandafter{\the\numexpr #2}{#1}%
}%
-\def\XINT@split@checksizex #1% 999999999 is anyhow very big, could be reduced
+\def\XINT_split_checksizex #1% 999999999 is anyhow very big, could be reduced
{%
- \ifnum\numexpr\XINT@Abs{#1}\relax > 999999999
- \xint@afterfi {\xintError:TooBigDecimalSplit\XINT@split@bigx }%
+ \ifnum\numexpr\XINT_Abs{#1}>999999999
+ \xint_afterfi {\xintError:TooBigDecimalSplit\XINT_split_bigx }%
\else
- \expandafter\XINT@split@xfork
+ \expandafter\XINT_split_xfork
\fi
#1\Z
}%
-\def\XINT@split@bigx #1\Z #2%
+\def\XINT_split_bigx #1\Z #2%
{%
- \ifcase\XINT@Sgn {#1}
- \or \xint@afterfi { {}{#2}}% positive big x
+ \ifcase\XINT_Sgn {#1}
+ \or \xint_afterfi { {}{#2}}% positive big x
\else
- \xint@afterfi { {#2}{}}% negative big x
+ \xint_afterfi { {#2}{}}% negative big x
\fi
}%
-\def\XINT@split@xfork #1%
+\def\XINT_split_xfork #1%
{%
- \xint@UDzerominusfork
- #1-\dummy \XINT@split@zerosplit
- 0#1\dummy \XINT@split@fromleft
- 0-\dummy {\XINT@split@fromright #1}%
- \xint@UDkrof
+ \xint_UDzerominusfork
+ #1-\dummy \XINT_split_zerosplit
+ 0#1\dummy \XINT_split_fromleft
+ 0-\dummy {\XINT_split_fromright #1}%
+ \krof
}%
-\def\XINT@split@zerosplit #1\Z #2{ {#2}{}}%
-\def\XINT@split@fromleft #1\Z #2%
+\def\XINT_split_zerosplit #1\Z #2{ {#2}{}}%
+\def\XINT_split_fromleft #1\Z #2%
{%
- \XINT@split@fromleft@loop {#1}{}#2\W\W\W\W\W\W\W\W\Z
+ \XINT_split_fromleft_loop {#1}{}#2\W\W\W\W\W\W\W\W\Z
}%
-\def\XINT@split@fromleft@loop #1%
+\def\XINT_split_fromleft_loop #1%
{%
- \ifnum #1<8 \XINT@split@fromleft@exita\fi
- \expandafter\XINT@split@fromleft@loop@perhaps\expandafter
- {\the\numexpr #1-8\expandafter}\XINT@split@fromleft@eight
+ \ifnum #1<8 \XINT_split_fromleft_exita\fi
+ \expandafter\XINT_split_fromleft_loop_perhaps\expandafter
+ {\the\numexpr #1-8\expandafter}\XINT_split_fromleft_eight
}%
-\def\XINT@split@fromleft@eight #1#2#3#4#5#6#7#8#9{#9{#1#2#3#4#5#6#7#8#9}}%
-\def\XINT@split@fromleft@loop@perhaps #1#2%
+\def\XINT_split_fromleft_eight #1#2#3#4#5#6#7#8#9{#9{#1#2#3#4#5#6#7#8#9}}%
+\def\XINT_split_fromleft_loop_perhaps #1#2%
{%
- \xint@w #2\XINT@split@fromleft@toofar\W\XINT@split@fromleft@loop {#1}%
+ \xint_gob_til_w #2\XINT_split_fromleft_toofar\W
+ \XINT_split_fromleft_loop {#1}%
}%
-\def\XINT@split@fromleft@toofar\W\XINT@split@fromleft@loop #1#2#3\Z
+\def\XINT_split_fromleft_toofar\W\XINT_split_fromleft_loop #1#2#3\Z
{%
- \XINT@split@fromleft@toofar@b #2\Z
+ \XINT_split_fromleft_toofar_b #2\Z
}%
-\def\XINT@split@fromleft@toofar@b #1\W #2\Z { {#1}{}}%
-\def\XINT@split@fromleft@exita\fi
- \expandafter\XINT@split@fromleft@loop@perhaps\expandafter #1#2%
- {\fi \XINT@split@fromleft@exitb #1}%
-\def\XINT@split@fromleft@exitb\the\numexpr #1-8\expandafter
+\def\XINT_split_fromleft_toofar_b #1\W #2\Z { {#1}{}}%
+\def\XINT_split_fromleft_exita\fi
+ \expandafter\XINT_split_fromleft_loop_perhaps\expandafter #1#2%
+ {\fi \XINT_split_fromleft_exitb #1}%
+\def\XINT_split_fromleft_exitb\the\numexpr #1-8\expandafter
{%
- \csname XINT@split@fromleft@endsplit@\romannumeral #1\endcsname
+ \csname XINT_split_fromleft_endsplit_\romannumeral #1\endcsname
}%
-\def\XINT@split@fromleft@endsplit@ #1#2\W #3\Z { {#1}{#2}}%
-\def\XINT@split@fromleft@endsplit@i #1#2%
- {\XINT@split@fromleft@checkiftoofar #2{#1#2}}%
-\def\XINT@split@fromleft@endsplit@ii #1#2#3%
- {\XINT@split@fromleft@checkiftoofar #3{#1#2#3}}%
-\def\XINT@split@fromleft@endsplit@iii #1#2#3#4%
- {\XINT@split@fromleft@checkiftoofar #4{#1#2#3#4}}%
-\def\XINT@split@fromleft@endsplit@iv #1#2#3#4#5%
- {\XINT@split@fromleft@checkiftoofar #5{#1#2#3#4#5}}%
-\def\XINT@split@fromleft@endsplit@v #1#2#3#4#5#6%
- {\XINT@split@fromleft@checkiftoofar #6{#1#2#3#4#5#6}}%
-\def\XINT@split@fromleft@endsplit@vi #1#2#3#4#5#6#7%
- {\XINT@split@fromleft@checkiftoofar #7{#1#2#3#4#5#6#7}}%
-\def\XINT@split@fromleft@endsplit@vii #1#2#3#4#5#6#7#8%
- {\XINT@split@fromleft@checkiftoofar #8{#1#2#3#4#5#6#7#8}}%
-\def\XINT@split@fromleft@checkiftoofar #1#2#3\W #4\Z
+\def\XINT_split_fromleft_endsplit_ #1#2\W #3\Z { {#1}{#2}}%
+\def\XINT_split_fromleft_endsplit_i #1#2%
+ {\XINT_split_fromleft_checkiftoofar #2{#1#2}}%
+\def\XINT_split_fromleft_endsplit_ii #1#2#3%
+ {\XINT_split_fromleft_checkiftoofar #3{#1#2#3}}%
+\def\XINT_split_fromleft_endsplit_iii #1#2#3#4%
+ {\XINT_split_fromleft_checkiftoofar #4{#1#2#3#4}}%
+\def\XINT_split_fromleft_endsplit_iv #1#2#3#4#5%
+ {\XINT_split_fromleft_checkiftoofar #5{#1#2#3#4#5}}%
+\def\XINT_split_fromleft_endsplit_v #1#2#3#4#5#6%
+ {\XINT_split_fromleft_checkiftoofar #6{#1#2#3#4#5#6}}%
+\def\XINT_split_fromleft_endsplit_vi #1#2#3#4#5#6#7%
+ {\XINT_split_fromleft_checkiftoofar #7{#1#2#3#4#5#6#7}}%
+\def\XINT_split_fromleft_endsplit_vii #1#2#3#4#5#6#7#8%
+ {\XINT_split_fromleft_checkiftoofar #8{#1#2#3#4#5#6#7#8}}%
+\def\XINT_split_fromleft_checkiftoofar #1#2#3\W #4\Z
{%
- \xint@w #1\XINT@split@fromleft@wenttoofar\W\space {#2}{#3}%
+ \xint_gob_til_w #1\XINT_split_fromleft_wenttoofar\W
+ \space {#2}{#3}%
}%
-\def\XINT@split@fromleft@wenttoofar\W\space #1%
+\def\XINT_split_fromleft_wenttoofar\W\space #1%
{%
- \XINT@split@fromleft@wenttoofar@b #1\Z
+ \XINT_split_fromleft_wenttoofar_b #1\Z
}%
-\def\XINT@split@fromleft@wenttoofar@b #1\W #2\Z { {#1}}%
-\def\XINT@split@fromright #1\Z #2%
+\def\XINT_split_fromleft_wenttoofar_b #1\W #2\Z { {#1}}%
+\def\XINT_split_fromright #1\Z #2%
{%
- \expandafter \XINT@split@fromright@a \expandafter
- {\romannumeral0\XINT@rev {#2}}{#1}{#2}%
+ \expandafter \XINT_split_fromright_a \expandafter
+ {\romannumeral0\XINT_rev {#2}}{#1}{#2}%
}%
-\def\XINT@split@fromright@a #1#2%
+\def\XINT_split_fromright_a #1#2%
{%
- \XINT@split@fromright@loop {#2}{}#1\W\W\W\W\W\W\W\W\Z
+ \XINT_split_fromright_loop {#2}{}#1\W\W\W\W\W\W\W\W\Z
}%
-\def\XINT@split@fromright@loop #1%
+\def\XINT_split_fromright_loop #1%
{%
- \ifnum #1<8 \XINT@split@fromright@exita\fi
- \expandafter\XINT@split@fromright@loop@perhaps\expandafter
- {\the\numexpr #1-8\expandafter }\XINT@split@fromright@eight
+ \ifnum #1<8 \XINT_split_fromright_exita\fi
+ \expandafter\XINT_split_fromright_loop_perhaps\expandafter
+ {\the\numexpr #1-8\expandafter }\XINT_split_fromright_eight
}%
-\def\XINT@split@fromright@eight #1#2#3#4#5#6#7#8#9{#9{#9#8#7#6#5#4#3#2#1}}%
-\def\XINT@split@fromright@loop@perhaps #1#2%
+\def\XINT_split_fromright_eight #1#2#3#4#5#6#7#8#9{#9{#9#8#7#6#5#4#3#2#1}}%
+\def\XINT_split_fromright_loop_perhaps #1#2%
{%
- \xint@w #2\XINT@split@fromright@toofar\W
- \XINT@split@fromright@loop {#1}%
+ \xint_gob_til_w #2\XINT_split_fromright_toofar\W
+ \XINT_split_fromright_loop {#1}%
}%
-\def\XINT@split@fromright@toofar\W\XINT@split@fromright@loop #1#2#3\Z { {}}%
-\def\XINT@split@fromright@exita\fi
- \expandafter\XINT@split@fromright@loop@perhaps\expandafter #1#2%
- {\fi \XINT@split@fromright@exitb #1}%
-\def\XINT@split@fromright@exitb\the\numexpr #1-8\expandafter
+\def\XINT_split_fromright_toofar\W\XINT_split_fromright_loop #1#2#3\Z { {}}%
+\def\XINT_split_fromright_exita\fi
+ \expandafter\XINT_split_fromright_loop_perhaps\expandafter #1#2%
+ {\fi \XINT_split_fromright_exitb #1}%
+\def\XINT_split_fromright_exitb\the\numexpr #1-8\expandafter
{%
- \csname XINT@split@fromright@endsplit@\romannumeral #1\endcsname
+ \csname XINT_split_fromright_endsplit_\romannumeral #1\endcsname
}%
-\def\XINT@split@fromright@endsplit@ #1#2\W #3\Z #4%
+\def\XINT_split_fromright_endsplit_ #1#2\W #3\Z #4%
{%
- \expandafter\space\expandafter {\romannumeral0\XINT@rev{#2}}{#1}%
+ \expandafter\space\expandafter {\romannumeral0\XINT_rev{#2}}{#1}%
}%
-\def\XINT@split@fromright@endsplit@i #1#2%
- {\XINT@split@fromright@checkiftoofar #2{#2#1}}%
-\def\XINT@split@fromright@endsplit@ii #1#2#3%
- {\XINT@split@fromright@checkiftoofar #3{#3#2#1}}%
-\def\XINT@split@fromright@endsplit@iii #1#2#3#4%
- {\XINT@split@fromright@checkiftoofar #4{#4#3#2#1}}%
-\def\XINT@split@fromright@endsplit@iv #1#2#3#4#5%
- {\XINT@split@fromright@checkiftoofar #5{#5#4#3#2#1}}%
-\def\XINT@split@fromright@endsplit@v #1#2#3#4#5#6%
- {\XINT@split@fromright@checkiftoofar #6{#6#5#4#3#2#1}}%
-\def\XINT@split@fromright@endsplit@vi #1#2#3#4#5#6#7%
- {\XINT@split@fromright@checkiftoofar #7{#7#6#5#4#3#2#1}}%
-\def\XINT@split@fromright@endsplit@vii #1#2#3#4#5#6#7#8%
- {\XINT@split@fromright@checkiftoofar #8{#8#7#6#5#4#3#2#1}}%
-\def\XINT@split@fromright@checkiftoofar #1%
+\def\XINT_split_fromright_endsplit_i #1#2%
+ {\XINT_split_fromright_checkiftoofar #2{#2#1}}%
+\def\XINT_split_fromright_endsplit_ii #1#2#3%
+ {\XINT_split_fromright_checkiftoofar #3{#3#2#1}}%
+\def\XINT_split_fromright_endsplit_iii #1#2#3#4%
+ {\XINT_split_fromright_checkiftoofar #4{#4#3#2#1}}%
+\def\XINT_split_fromright_endsplit_iv #1#2#3#4#5%
+ {\XINT_split_fromright_checkiftoofar #5{#5#4#3#2#1}}%
+\def\XINT_split_fromright_endsplit_v #1#2#3#4#5#6%
+ {\XINT_split_fromright_checkiftoofar #6{#6#5#4#3#2#1}}%
+\def\XINT_split_fromright_endsplit_vi #1#2#3#4#5#6#7%
+ {\XINT_split_fromright_checkiftoofar #7{#7#6#5#4#3#2#1}}%
+\def\XINT_split_fromright_endsplit_vii #1#2#3#4#5#6#7#8%
+ {\XINT_split_fromright_checkiftoofar #8{#8#7#6#5#4#3#2#1}}%
+\def\XINT_split_fromright_checkiftoofar #1%
{%
- \xint@w #1\XINT@split@fromright@wenttoofar\W
- \XINT@split@fromright@endsplit@
+ \xint_gob_til_w #1\XINT_split_fromright_wenttoofar\W
+ \XINT_split_fromright_endsplit_
}%
-\def\XINT@split@fromright@wenttoofar\W\XINT@split@fromright@endsplit@ #1\Z #2%
+\def\XINT_split_fromright_wenttoofar\W\XINT_split_fromright_endsplit_ #1\Z #2%
{ {}{#2}}%
-\XINT@restorecatcodes@endinput%
+\XINT_restorecatcodes_endinput%
\endinput
%%
%% End of file `xint.sty'.
diff --git a/Master/texmf-dist/tex/generic/xint/xintcfrac.sty b/Master/texmf-dist/tex/generic/xint/xintcfrac.sty
index 47af0cfe0de..7cbe6299ef0 100644
--- a/Master/texmf-dist/tex/generic/xint/xintcfrac.sty
+++ b/Master/texmf-dist/tex/generic/xint/xintcfrac.sty
@@ -22,7 +22,7 @@
%% in the same archive or directory.)
%%
%%----------------------------------------------------------------
-%% The xint bundle (version 1.06a of May 9, 2013)
+%% The xint bundle (version 1.06b of May 14, 2013)
%% xintcfrac: Expandable continued fractions with xint package
%% Copyright (C) 2013 by Jean-Francois Burnol
%%----------------------------------------------------------------
@@ -108,11 +108,11 @@
\endlinechar=13 %
\catcode123=1 % {
\catcode125=2 % }
- \catcode64=11 % @
+ \catcode95=11 % _
\def\x
{%
\endgroup
- \edef\XINT@cfrac@restorecatcodes@endinput
+ \edef\XINT_cfrac_restorecatcodes_endinput
{%
\catcode93=\the\catcode93 % ]
\catcode91=\the\catcode91 % [
@@ -129,7 +129,7 @@
\catcode45=\the\catcode45 % -
\catcode44=\the\catcode44 % ,
\catcode35=\the\catcode35 % #
- \catcode64=\the\catcode64 % @
+ \catcode95=\the\catcode95 % _
\catcode125=\the\catcode125 % }
\catcode123=\the\catcode123 % {
\endlinechar=\the\endlinechar
@@ -138,12 +138,13 @@
\catcode61=\the\catcode61\relax % =
\noexpand\endinput
}%
- \XINT@setcatcodes
+ \XINT_setcatcodes
\catcode91=12 % [
\catcode93=12 % ]
}%
\x
\begingroup
+ \catcode64=11 % @
\catcode58=12 % :
\expandafter\ifx\csname ProvidesPackage\endcsname\relax
\def\x#1#2#3[#4]{\endgroup
@@ -163,296 +164,297 @@
\fi
\expandafter\x\csname ver@xintcfrac.sty\endcsname
\ProvidesPackage{xintcfrac}%
- [2013/05/09 v1.06a Expandable continued fractions with xint package (jfB)]%
+ [2013/05/14 v1.06b Expandable continued fractions with xint package (jfB)]%
\def\xintCFrac {\romannumeral0\xintcfrac }%
\def\xintcfrac #1%
{%
- \XINT@cfrac@opt@a #1\Z
+ \XINT_cfrac_opt_a #1\Z
}%
-\def\XINT@cfrac@opt@a #1%
+\def\XINT_cfrac_opt_a #1%
{%
- \ifx#1[\XINT@cfrac@opt@b\fi \XINT@cfrac@noopt #1%
+ \ifx#1[\XINT_cfrac_opt_b\fi \XINT_cfrac_noopt #1%
}%
-\def\XINT@cfrac@noopt #1\Z
+\def\XINT_cfrac_noopt #1\Z
{%
- \expandafter\XINT@cfrac@A\romannumeral0\xintraw {#1}\Z
+ \expandafter\XINT_cfrac_A\romannumeral0\xintraw {#1}\Z
\relax\relax
}%
-\def\XINT@cfrac@opt@b\fi\XINT@cfrac@noopt [\Z #1]%
+\def\XINT_cfrac_opt_b\fi\XINT_cfrac_noopt [\Z #1]%
{%
- \fi\csname XINT@cfrac@opt#1\endcsname
+ \fi\csname XINT_cfrac_opt#1\endcsname
}%
-\def\XINT@cfrac@optl #1%
+\def\XINT_cfrac_optl #1%
{%
- \expandafter\XINT@cfrac@A\romannumeral0\xintraw {#1}\Z
+ \expandafter\XINT_cfrac_A\romannumeral0\xintraw {#1}\Z
\relax\hfill
}%
-\def\XINT@cfrac@optc #1%
+\def\XINT_cfrac_optc #1%
{%
- \expandafter\XINT@cfrac@A\romannumeral0\xintraw {#1}\Z
+ \expandafter\XINT_cfrac_A\romannumeral0\xintraw {#1}\Z
\relax\relax
}%
-\def\XINT@cfrac@optr #1%
+\def\XINT_cfrac_optr #1%
{%
- \expandafter\XINT@cfrac@A\romannumeral0\xintraw {#1}\Z
+ \expandafter\XINT_cfrac_A\romannumeral0\xintraw {#1}\Z
\hfill\relax
}%
-\def\XINT@cfrac@A #1/#2\Z
+\def\XINT_cfrac_A #1/#2\Z
{%
- \expandafter\XINT@cfrac@B\romannumeral0\xintidivision {#1}{#2}{#2}%
+ \expandafter\XINT_cfrac_B\romannumeral0\xintidivision {#1}{#2}{#2}%
}%
-\def\XINT@cfrac@B #1#2%
+\def\XINT_cfrac_B #1#2%
{%
- \XINT@cfrac@C #2\Z {#1}%
+ \XINT_cfrac_C #2\Z {#1}%
}%
-\def\XINT@cfrac@C #1%
+\def\XINT_cfrac_C #1%
{%
- \xint@zero #1\XINT@cfrac@integer 0\XINT@cfrac@D #1%
+ \xint_gob_til_zero #1\XINT_cfrac_integer 0\XINT_cfrac_D #1%
}%
-\def\XINT@cfrac@integer 0\XINT@cfrac@D 0#1\Z #2#3#4#5{ #2}%
-\def\XINT@cfrac@D #1\Z #2#3{\XINT@cfrac@loop@a {#1}{#3}{#1}{{#2}}}%
-\def\XINT@cfrac@loop@a
+\def\XINT_cfrac_integer 0\XINT_cfrac_D 0#1\Z #2#3#4#5{ #2}%
+\def\XINT_cfrac_D #1\Z #2#3{\XINT_cfrac_loop_a {#1}{#3}{#1}{{#2}}}%
+\def\XINT_cfrac_loop_a
{%
- \expandafter\XINT@cfrac@loop@d\romannumeral0\XINT@div@prepare
+ \expandafter\XINT_cfrac_loop_d\romannumeral0\XINT_div_prepare
}%
-\def\XINT@cfrac@loop@d #1#2%
+\def\XINT_cfrac_loop_d #1#2%
{%
- \XINT@cfrac@loop@e #2.{#1}%
+ \XINT_cfrac_loop_e #2.{#1}%
}%
-\def\XINT@cfrac@loop@e #1%
+\def\XINT_cfrac_loop_e #1%
{%
- \xint@zero #1\xint@cfrac@loop@exit0\XINT@cfrac@loop@f #1%
+ \xint_gob_til_zero #1\xint_cfrac_loop_exit0\XINT_cfrac_loop_f #1%
}%
-\def\XINT@cfrac@loop@f #1.#2#3#4%
+\def\XINT_cfrac_loop_f #1.#2#3#4%
{%
- \XINT@cfrac@loop@a {#1}{#3}{#1}{{#2}#4}%
+ \XINT_cfrac_loop_a {#1}{#3}{#1}{{#2}#4}%
}%
-\def\xint@cfrac@loop@exit0\XINT@cfrac@loop@f #1.#2#3#4#5#6%
- {\XINT@cfrac@T #5#6{#2}#4\Z }%
-\def\XINT@cfrac@T #1#2#3#4%
+\def\xint_cfrac_loop_exit0\XINT_cfrac_loop_f #1.#2#3#4#5#6%
+ {\XINT_cfrac_T #5#6{#2}#4\Z }%
+\def\XINT_cfrac_T #1#2#3#4%
{%
- \xint@z #4\XINT@cfrac@end\Z\XINT@cfrac@T #1#2{#4+\cfrac{#11#2}{#3}}%
+ \xint_gob_til_z #4\XINT_cfrac_end\Z\XINT_cfrac_T #1#2{#4+\cfrac{#11#2}{#3}}%
}%
-\def\XINT@cfrac@end\Z\XINT@cfrac@T #1#2#3%
+\def\XINT_cfrac_end\Z\XINT_cfrac_T #1#2#3%
{%
- \XINT@cfrac@@end #3%
+ \XINT_cfrac__end #3%
}%
-\def\XINT@cfrac@@end \Z+\cfrac#1#2{ #2}%
+\def\XINT_cfrac__end \Z+\cfrac#1#2{ #2}%
\def\xintGCFrac {\romannumeral0\xintgcfrac }%
\def\xintgcfrac #1%
{%
- \XINT@gcfrac@opt@a #1\Z
+ \XINT_gcfrac_opt_a #1\Z
}%
-\def\XINT@gcfrac@opt@a #1%
+\def\XINT_gcfrac_opt_a #1%
{%
- \ifx#1[\XINT@gcfrac@opt@b\fi \XINT@gcfrac@noopt #1%
+ \ifx#1[\XINT_gcfrac_opt_b\fi \XINT_gcfrac_noopt #1%
}%
-\def\XINT@gcfrac@noopt #1\Z
+\def\XINT_gcfrac_noopt #1\Z
{%
- \XINT@gcfrac #1+\W/\relax\relax
+ \XINT_gcfrac #1+\W/\relax\relax
}%
-\def\XINT@gcfrac@opt@b\fi\XINT@gcfrac@noopt [\Z #1]%
+\def\XINT_gcfrac_opt_b\fi\XINT_gcfrac_noopt [\Z #1]%
{%
- \fi\csname XINT@gcfrac@opt#1\endcsname
+ \fi\csname XINT_gcfrac_opt#1\endcsname
}%
-\def\XINT@gcfrac@optl #1%
+\def\XINT_gcfrac_optl #1%
{%
- \XINT@gcfrac #1+\W/\relax\hfill
+ \XINT_gcfrac #1+\W/\relax\hfill
}%
-\def\XINT@gcfrac@optc #1%
+\def\XINT_gcfrac_optc #1%
{%
- \XINT@gcfrac #1+\W/\relax\relax
+ \XINT_gcfrac #1+\W/\relax\relax
}%
-\def\XINT@gcfrac@optr #1%
+\def\XINT_gcfrac_optr #1%
{%
- \XINT@gcfrac #1+\W/\hfill\relax
+ \XINT_gcfrac #1+\W/\hfill\relax
}%
-\def\XINT@gcfrac
+\def\XINT_gcfrac
{%
- \expandafter\XINT@gcfrac@enter\romannumeral-`0%
+ \expandafter\XINT_gcfrac_enter\romannumeral-`0%
}%
-\def\XINT@gcfrac@enter {\XINT@gcfrac@loop {}}%
-\def\XINT@gcfrac@loop #1#2+#3/%
+\def\XINT_gcfrac_enter {\XINT_gcfrac_loop {}}%
+\def\XINT_gcfrac_loop #1#2+#3/%
{%
- \xint@w #3\XINT@gcfrac@endloop\W\XINT@gcfrac@loop {{#3}{#2}#1}%
+ \xint_gob_til_w #3\XINT_gcfrac_endloop\W
+ \XINT_gcfrac_loop {{#3}{#2}#1}%
}%
-\def\XINT@gcfrac@endloop\W\XINT@gcfrac@loop #1#2#3%
+\def\XINT_gcfrac_endloop\W\XINT_gcfrac_loop #1#2#3%
{%
- \XINT@gcfrac@T #2#3#1\Z\Z
+ \XINT_gcfrac_T #2#3#1\Z\Z
}%
-\def\XINT@gcfrac@T #1#2#3#4{\XINT@gcfrac@U #1#2{\xintFrac{#4}}}%
-\def\XINT@gcfrac@U #1#2#3#4#5%
+\def\XINT_gcfrac_T #1#2#3#4{\XINT_gcfrac_U #1#2{\xintFrac{#4}}}%
+\def\XINT_gcfrac_U #1#2#3#4#5%
{%
- \xint@z #5\XINT@gcfrac@end\Z\XINT@gcfrac@U
+ \xint_gob_til_z #5\XINT_gcfrac_end\Z\XINT_gcfrac_U
#1#2{\xintFrac{#5}%
\ifcase\xintSgn{#4}
+\or+\else-\fi
\cfrac{#1\xintFrac{\xintAbs{#4}}#2}{#3}}%
}%
-\def\XINT@gcfrac@end\Z\XINT@gcfrac@U #1#2#3%
+\def\XINT_gcfrac_end\Z\XINT_gcfrac_U #1#2#3%
{%
- \XINT@gcfrac@@end #3%
+ \XINT_gcfrac__end #3%
}%
-\def\XINT@gcfrac@@end #1\cfrac#2#3{ #3}%
+\def\XINT_gcfrac__end #1\cfrac#2#3{ #3}%
\def\xintGCtoGCx {\romannumeral0\xintgctogcx }%
\def\xintgctogcx #1#2#3%
{%
- \expandafter\XINT@gctgcx@start\expandafter {\romannumeral-`0#3}{#1}{#2}%
+ \expandafter\XINT_gctgcx_start\expandafter {\romannumeral-`0#3}{#1}{#2}%
}%
-\def\XINT@gctgcx@start #1#2#3{\XINT@gctgcx@loop@a {}{#2}{#3}#1+\W/}%
-\def\XINT@gctgcx@loop@a #1#2#3#4+#5/%
+\def\XINT_gctgcx_start #1#2#3{\XINT_gctgcx_loop_a {}{#2}{#3}#1+\W/}%
+\def\XINT_gctgcx_loop_a #1#2#3#4+#5/%
{%
- \xint@w #5\XINT@gctgcx@end\W
- \XINT@gctgcx@loop@b {#1{#4}}{#2{#5}#3}{#2}{#3}%
+ \xint_gob_til_w #5\XINT_gctgcx_end\W
+ \XINT_gctgcx_loop_b {#1{#4}}{#2{#5}#3}{#2}{#3}%
}%
-\def\XINT@gctgcx@loop@b #1#2%
+\def\XINT_gctgcx_loop_b #1#2%
{%
- \XINT@gctgcx@loop@a {#1#2}%
+ \XINT_gctgcx_loop_a {#1#2}%
}%
-\def\XINT@gctgcx@end\W\XINT@gctgcx@loop@b #1#2#3#4{ #1}%
+\def\XINT_gctgcx_end\W\XINT_gctgcx_loop_b #1#2#3#4{ #1}%
\def\xintFtoCs {\romannumeral0\xintftocs }%
\def\xintftocs #1%
{%
- \expandafter\XINT@ftc@A\romannumeral0\xintraw {#1}\Z
+ \expandafter\XINT_ftc_A\romannumeral0\xintraw {#1}\Z
}%
-\def\XINT@ftc@A #1/#2\Z
+\def\XINT_ftc_A #1/#2\Z
{%
- \expandafter\XINT@ftc@B\romannumeral0\xintidivision {#1}{#2}{#2}%
+ \expandafter\XINT_ftc_B\romannumeral0\xintidivision {#1}{#2}{#2}%
}%
-\def\XINT@ftc@B #1#2%
+\def\XINT_ftc_B #1#2%
{%
- \XINT@ftc@C #2.{#1}%
+ \XINT_ftc_C #2.{#1}%
}%
-\def\XINT@ftc@C #1%
+\def\XINT_ftc_C #1%
{%
- \xint@zero #1\XINT@ftc@integer 0\XINT@ftc@D #1%
+ \xint_gob_til_zero #1\XINT_ftc_integer 0\XINT_ftc_D #1%
}%
-\def\XINT@ftc@integer 0\XINT@ftc@D 0#1.#2#3{ #2}%
-\def\XINT@ftc@D #1.#2#3{\XINT@ftc@loop@a {#1}{#3}{#1}{#2,}}%
-\def\XINT@ftc@loop@a
+\def\XINT_ftc_integer 0\XINT_ftc_D 0#1.#2#3{ #2}%
+\def\XINT_ftc_D #1.#2#3{\XINT_ftc_loop_a {#1}{#3}{#1}{#2,}}%
+\def\XINT_ftc_loop_a
{%
- \expandafter\XINT@ftc@loop@d\romannumeral0\XINT@div@prepare
+ \expandafter\XINT_ftc_loop_d\romannumeral0\XINT_div_prepare
}%
-\def\XINT@ftc@loop@d #1#2%
+\def\XINT_ftc_loop_d #1#2%
{%
- \XINT@ftc@loop@e #2.{#1}%
+ \XINT_ftc_loop_e #2.{#1}%
}%
-\def\XINT@ftc@loop@e #1%
+\def\XINT_ftc_loop_e #1%
{%
- \xint@zero #1\xint@ftc@loop@exit0\XINT@ftc@loop@f #1%
+ \xint_gob_til_zero #1\xint_ftc_loop_exit0\XINT_ftc_loop_f #1%
}%
-\def\XINT@ftc@loop@f #1.#2#3#4%
+\def\XINT_ftc_loop_f #1.#2#3#4%
{%
- \XINT@ftc@loop@a {#1}{#3}{#1}{#4#2,}%
+ \XINT_ftc_loop_a {#1}{#3}{#1}{#4#2,}%
}%
-\def\xint@ftc@loop@exit0\XINT@ftc@loop@f #1.#2#3#4{ #4#2}%
+\def\xint_ftc_loop_exit0\XINT_ftc_loop_f #1.#2#3#4{ #4#2}%
\def\xintFtoCx {\romannumeral0\xintftocx }%
\def\xintftocx #1#2%
{%
- \expandafter\XINT@ftcx@A\romannumeral0\xintraw {#2}\Z {#1}%
+ \expandafter\XINT_ftcx_A\romannumeral0\xintraw {#2}\Z {#1}%
}%
-\def\XINT@ftcx@A #1/#2\Z
+\def\XINT_ftcx_A #1/#2\Z
{%
- \expandafter\XINT@ftcx@B\romannumeral0\xintidivision {#1}{#2}{#2}%
+ \expandafter\XINT_ftcx_B\romannumeral0\xintidivision {#1}{#2}{#2}%
}%
-\def\XINT@ftcx@B #1#2%
+\def\XINT_ftcx_B #1#2%
{%
- \XINT@ftcx@C #2.{#1}%
+ \XINT_ftcx_C #2.{#1}%
}%
-\def\XINT@ftcx@C #1%
+\def\XINT_ftcx_C #1%
{%
- \xint@zero #1\XINT@ftcx@integer 0\XINT@ftcx@D #1%
+ \xint_gob_til_zero #1\XINT_ftcx_integer 0\XINT_ftcx_D #1%
}%
-\def\XINT@ftcx@integer 0\XINT@ftcx@D 0#1.#2#3#4{ #2}%
-\def\XINT@ftcx@D #1.#2#3#4{\XINT@ftcx@loop@a {#1}{#3}{#1}{#2#4}{#4}}%
-\def\XINT@ftcx@loop@a
+\def\XINT_ftcx_integer 0\XINT_ftcx_D 0#1.#2#3#4{ #2}%
+\def\XINT_ftcx_D #1.#2#3#4{\XINT_ftcx_loop_a {#1}{#3}{#1}{#2#4}{#4}}%
+\def\XINT_ftcx_loop_a
{%
- \expandafter\XINT@ftcx@loop@d\romannumeral0\XINT@div@prepare
+ \expandafter\XINT_ftcx_loop_d\romannumeral0\XINT_div_prepare
}%
-\def\XINT@ftcx@loop@d #1#2%
+\def\XINT_ftcx_loop_d #1#2%
{%
- \XINT@ftcx@loop@e #2.{#1}%
+ \XINT_ftcx_loop_e #2.{#1}%
}%
-\def\XINT@ftcx@loop@e #1%
+\def\XINT_ftcx_loop_e #1%
{%
- \xint@zero #1\xint@ftcx@loop@exit0\XINT@ftcx@loop@f #1%
+ \xint_gob_til_zero #1\xint_ftcx_loop_exit0\XINT_ftcx_loop_f #1%
}%
-\def\XINT@ftcx@loop@f #1.#2#3#4#5%
+\def\XINT_ftcx_loop_f #1.#2#3#4#5%
{%
- \XINT@ftcx@loop@a {#1}{#3}{#1}{#4{#2}#5}{#5}%
+ \XINT_ftcx_loop_a {#1}{#3}{#1}{#4{#2}#5}{#5}%
}%
-\def\xint@ftcx@loop@exit0\XINT@ftcx@loop@f #1.#2#3#4#5{ #4{#2}}%
+\def\xint_ftcx_loop_exit0\XINT_ftcx_loop_f #1.#2#3#4#5{ #4{#2}}%
\def\xintFtoGC {\romannumeral0\xintftogc }%
\def\xintftogc {\xintftocx {+1/}}%
\def\xintFtoCC {\romannumeral0\xintftocc }%
\def\xintftocc #1%
{%
- \expandafter\XINT@ftcc@A\expandafter {\romannumeral0\xintraw {#1}}%
+ \expandafter\XINT_ftcc_A\expandafter {\romannumeral0\xintraw {#1}}%
}%
-\def\XINT@ftcc@A #1%
+\def\XINT_ftcc_A #1%
{%
- \expandafter\XINT@ftcc@B
+ \expandafter\XINT_ftcc_B
\romannumeral0\xintraw {\xintAdd {1/2[0]}{#1[0]}}\Z {#1[0]}%
}%
-\def\XINT@ftcc@B #1/#2\Z
+\def\XINT_ftcc_B #1/#2\Z
{%
- \expandafter\XINT@ftcc@C\expandafter {\romannumeral0\xintiquo {#1}{#2}}%
+ \expandafter\XINT_ftcc_C\expandafter {\romannumeral0\xintiquo {#1}{#2}}%
}%
-\def\XINT@ftcc@C #1#2%
+\def\XINT_ftcc_C #1#2%
{%
- \expandafter\XINT@ftcc@D\romannumeral0\xintsub {#2}{#1}\Z {#1}%
+ \expandafter\XINT_ftcc_D\romannumeral0\xintsub {#2}{#1}\Z {#1}%
}%
-\def\XINT@ftcc@D #1%
+\def\XINT_ftcc_D #1%
{%
- \xint@UDzerominusfork
- #1-\dummy \XINT@ftcc@integer
- 0#1\dummy \XINT@ftcc@En
- 0-\dummy {\XINT@ftcc@Ep #1}%
- \xint@UDkrof
+ \xint_UDzerominusfork
+ #1-\dummy \XINT_ftcc_integer
+ 0#1\dummy \XINT_ftcc_En
+ 0-\dummy {\XINT_ftcc_Ep #1}%
+ \krof
}%
-\def\XINT@ftcc@Ep #1\Z #2%
+\def\XINT_ftcc_Ep #1\Z #2%
{%
- \expandafter\XINT@ftcc@loop@a\expandafter
+ \expandafter\XINT_ftcc_loop_a\expandafter
{\romannumeral0\xintdiv {1[0]}{#1}}{#2+1/}%
}%
-\def\XINT@ftcc@En #1\Z #2%
+\def\XINT_ftcc_En #1\Z #2%
{%
- \expandafter\XINT@ftcc@loop@a\expandafter
+ \expandafter\XINT_ftcc_loop_a\expandafter
{\romannumeral0\xintdiv {1[0]}{#1}}{#2+-1/}%
}%
-\def\XINT@ftcc@integer #1\Z #2{ #2}%
-\def\XINT@ftcc@loop@a #1%
+\def\XINT_ftcc_integer #1\Z #2{ #2}%
+\def\XINT_ftcc_loop_a #1%
{%
- \expandafter\XINT@ftcc@loop@b
+ \expandafter\XINT_ftcc_loop_b
\romannumeral0\xintraw {\xintAdd {1/2[0]}{#1}}\Z {#1}%
}%
-\def\XINT@ftcc@loop@b #1/#2\Z
+\def\XINT_ftcc_loop_b #1/#2\Z
{%
- \expandafter\XINT@ftcc@loop@c\expandafter
+ \expandafter\XINT_ftcc_loop_c\expandafter
{\romannumeral0\xintiquo {#1}{#2}}%
}%
-\def\XINT@ftcc@loop@c #1#2%
+\def\XINT_ftcc_loop_c #1#2%
{%
- \expandafter\XINT@ftcc@loop@d
+ \expandafter\XINT_ftcc_loop_d
\romannumeral0\xintsub {#2}{#1[0]}\Z {#1}%
}%
-\def\XINT@ftcc@loop@d #1%
+\def\XINT_ftcc_loop_d #1%
{%
- \xint@UDzerominusfork
- #1-\dummy \XINT@ftcc@end
- 0#1\dummy \XINT@ftcc@loop@N
- 0-\dummy {\XINT@ftcc@loop@P #1}%
- \xint@UDkrof
+ \xint_UDzerominusfork
+ #1-\dummy \XINT_ftcc_end
+ 0#1\dummy \XINT_ftcc_loop_N
+ 0-\dummy {\XINT_ftcc_loop_P #1}%
+ \krof
}%
-\def\XINT@ftcc@end #1\Z #2#3{ #3#2}%
-\def\XINT@ftcc@loop@P #1\Z #2#3%
+\def\XINT_ftcc_end #1\Z #2#3{ #3#2}%
+\def\XINT_ftcc_loop_P #1\Z #2#3%
{%
- \expandafter\XINT@ftcc@loop@a\expandafter
+ \expandafter\XINT_ftcc_loop_a\expandafter
{\romannumeral0\xintdiv {1[0]}{#1}}{#3#2+1/}%
}%
-\def\XINT@ftcc@loop@N #1\Z #2#3%
+\def\XINT_ftcc_loop_N #1\Z #2#3%
{%
- \expandafter\XINT@ftcc@loop@a\expandafter
+ \expandafter\XINT_ftcc_loop_a\expandafter
{\romannumeral0\xintdiv {1[0]}{#1}}{#3#2+-1/}%
}%
\def\xintFtoCv {\romannumeral0\xintftocv }%
@@ -468,566 +470,571 @@
\def\xintCstoF {\romannumeral0\xintcstof }%
\def\xintcstof #1%
{%
- \expandafter\XINT@cstf@prep \romannumeral-`0#1,\W,%
+ \expandafter\XINT_cstf_prep \romannumeral-`0#1,\W,%
}%
-\def\XINT@cstf@prep
+\def\XINT_cstf_prep
{%
- \XINT@cstf@loop@a 1001%
+ \XINT_cstf_loop_a 1001%
}%
-\def\XINT@cstf@loop@a #1#2#3#4#5,%
+\def\XINT_cstf_loop_a #1#2#3#4#5,%
{%
- \xint@w #5\XINT@cstf@end\W\expandafter\XINT@cstf@loop@b
+ \xint_gob_til_w #5\XINT_cstf_end\W
+ \expandafter\XINT_cstf_loop_b
\romannumeral0\xintraw {#5}.{#1}{#2}{#3}{#4}%
}%
-\def\XINT@cstf@loop@b #1/#2.#3#4#5#6%
+\def\XINT_cstf_loop_b #1/#2.#3#4#5#6%
{%
- \expandafter\XINT@cstf@loop@c\expandafter
- {\romannumeral0\XINT@mul@fork #2\Z #4\Z }%
- {\romannumeral0\XINT@mul@fork #2\Z #3\Z }%
- {\romannumeral0\xintiadd {\XINT@Mul {#2}{#6}}{\XINT@Mul {#1}{#4}}}%
- {\romannumeral0\xintiadd {\XINT@Mul {#2}{#5}}{\XINT@Mul {#1}{#3}}}%
+ \expandafter\XINT_cstf_loop_c\expandafter
+ {\romannumeral0\XINT_mul_fork #2\Z #4\Z }%
+ {\romannumeral0\XINT_mul_fork #2\Z #3\Z }%
+ {\romannumeral0\xintiadd {\XINT_Mul {#2}{#6}}{\XINT_Mul {#1}{#4}}}%
+ {\romannumeral0\xintiadd {\XINT_Mul {#2}{#5}}{\XINT_Mul {#1}{#3}}}%
}%
-\def\XINT@cstf@loop@c #1#2%
+\def\XINT_cstf_loop_c #1#2%
{%
- \expandafter\XINT@cstf@loop@d\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_cstf_loop_d\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@cstf@loop@d #1#2%
+\def\XINT_cstf_loop_d #1#2%
{%
- \expandafter\XINT@cstf@loop@e\expandafter {\expandafter{#2}#1}%
+ \expandafter\XINT_cstf_loop_e\expandafter {\expandafter{#2}#1}%
}%
-\def\XINT@cstf@loop@e #1#2%
+\def\XINT_cstf_loop_e #1#2%
{%
- \expandafter\XINT@cstf@loop@a\expandafter{#2}#1%
+ \expandafter\XINT_cstf_loop_a\expandafter{#2}#1%
}%
-\def\XINT@cstf@end #1.#2#3#4#5{\xintraw {#2/#3}[0]}%
+\def\XINT_cstf_end #1.#2#3#4#5{\xintraw {#2/#3}[0]}%
\def\xintiCstoF {\romannumeral0\xinticstof }%
\def\xinticstof #1%
{%
- \expandafter\XINT@icstf@prep \romannumeral-`0#1,\W,%
+ \expandafter\XINT_icstf_prep \romannumeral-`0#1,\W,%
}%
-\def\XINT@icstf@prep
+\def\XINT_icstf_prep
{%
- \XINT@icstf@loop@a 1001%
+ \XINT_icstf_loop_a 1001%
}%
-\def\XINT@icstf@loop@a #1#2#3#4#5,%
+\def\XINT_icstf_loop_a #1#2#3#4#5,%
{%
- \xint@w #5\XINT@icstf@end\W
+ \xint_gob_til_w #5\XINT_icstf_end\W
\expandafter
- \XINT@icstf@loop@b \romannumeral-`0#5.{#1}{#2}{#3}{#4}%
+ \XINT_icstf_loop_b \romannumeral-`0#5.{#1}{#2}{#3}{#4}%
}%
-\def\XINT@icstf@loop@b #1.#2#3#4#5%
+\def\XINT_icstf_loop_b #1.#2#3#4#5%
{%
- \expandafter\XINT@icstf@loop@c\expandafter
- {\romannumeral0\xintiadd {#5}{\XINT@Mul {#1}{#3}}}%
- {\romannumeral0\xintiadd {#4}{\XINT@Mul {#1}{#2}}}%
+ \expandafter\XINT_icstf_loop_c\expandafter
+ {\romannumeral0\xintiadd {#5}{\XINT_Mul {#1}{#3}}}%
+ {\romannumeral0\xintiadd {#4}{\XINT_Mul {#1}{#2}}}%
{#2}{#3}%
}%
-\def\XINT@icstf@loop@c #1#2%
+\def\XINT_icstf_loop_c #1#2%
{%
- \expandafter\XINT@icstf@loop@a\expandafter {#2}{#1}%
+ \expandafter\XINT_icstf_loop_a\expandafter {#2}{#1}%
}%
-\def\XINT@icstf@end#1.#2#3#4#5{\xintraw {#2/#3}[0]}%
+\def\XINT_icstf_end#1.#2#3#4#5{\xintraw {#2/#3}[0]}%
\def\xintGCtoF {\romannumeral0\xintgctof }%
\def\xintgctof #1%
{%
- \expandafter\XINT@gctf@prep \romannumeral-`0#1+\W/%
+ \expandafter\XINT_gctf_prep \romannumeral-`0#1+\W/%
}%
-\def\XINT@gctf@prep
+\def\XINT_gctf_prep
{%
- \XINT@gctf@loop@a 1001%
+ \XINT_gctf_loop_a 1001%
}%
-\def\XINT@gctf@loop@a #1#2#3#4#5+%
+\def\XINT_gctf_loop_a #1#2#3#4#5+%
{%
- \expandafter\XINT@gctf@loop@b
+ \expandafter\XINT_gctf_loop_b
\romannumeral0\xintraw {#5}.{#1}{#2}{#3}{#4}%
}%
-\def\XINT@gctf@loop@b #1/#2.#3#4#5#6%
+\def\XINT_gctf_loop_b #1/#2.#3#4#5#6%
{%
- \expandafter\XINT@gctf@loop@c\expandafter
- {\romannumeral0\XINT@mul@fork #2\Z #4\Z }%
- {\romannumeral0\XINT@mul@fork #2\Z #3\Z }%
- {\romannumeral0\xintiadd {\XINT@Mul {#2}{#6}}{\XINT@Mul {#1}{#4}}}%
- {\romannumeral0\xintiadd {\XINT@Mul {#2}{#5}}{\XINT@Mul {#1}{#3}}}%
+ \expandafter\XINT_gctf_loop_c\expandafter
+ {\romannumeral0\XINT_mul_fork #2\Z #4\Z }%
+ {\romannumeral0\XINT_mul_fork #2\Z #3\Z }%
+ {\romannumeral0\xintiadd {\XINT_Mul {#2}{#6}}{\XINT_Mul {#1}{#4}}}%
+ {\romannumeral0\xintiadd {\XINT_Mul {#2}{#5}}{\XINT_Mul {#1}{#3}}}%
}%
-\def\XINT@gctf@loop@c #1#2%
+\def\XINT_gctf_loop_c #1#2%
{%
- \expandafter\XINT@gctf@loop@d\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_gctf_loop_d\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@gctf@loop@d #1#2%
+\def\XINT_gctf_loop_d #1#2%
{%
- \expandafter\XINT@gctf@loop@e\expandafter {\expandafter{#2}#1}%
+ \expandafter\XINT_gctf_loop_e\expandafter {\expandafter{#2}#1}%
}%
-\def\XINT@gctf@loop@e #1#2%
+\def\XINT_gctf_loop_e #1#2%
{%
- \expandafter\XINT@gctf@loop@f\expandafter {\expandafter{#2}#1}%
+ \expandafter\XINT_gctf_loop_f\expandafter {\expandafter{#2}#1}%
}%
-\def\XINT@gctf@loop@f #1#2/%
+\def\XINT_gctf_loop_f #1#2/%
{%
- \xint@w #2\XINT@gctf@end\W\expandafter\XINT@gctf@loop@g
+ \xint_gob_til_w #2\XINT_gctf_end\W
+ \expandafter\XINT_gctf_loop_g
\romannumeral0\xintraw {#2}.#1%
}%
-\def\XINT@gctf@loop@g #1/#2.#3#4#5#6%
+\def\XINT_gctf_loop_g #1/#2.#3#4#5#6%
{%
- \expandafter\XINT@gctf@loop@h\expandafter
- {\romannumeral0\XINT@mul@fork #1\Z #6\Z }%
- {\romannumeral0\XINT@mul@fork #1\Z #5\Z }%
- {\romannumeral0\XINT@mul@fork #2\Z #4\Z }%
- {\romannumeral0\XINT@mul@fork #2\Z #3\Z }%
+ \expandafter\XINT_gctf_loop_h\expandafter
+ {\romannumeral0\XINT_mul_fork #1\Z #6\Z }%
+ {\romannumeral0\XINT_mul_fork #1\Z #5\Z }%
+ {\romannumeral0\XINT_mul_fork #2\Z #4\Z }%
+ {\romannumeral0\XINT_mul_fork #2\Z #3\Z }%
}%
-\def\XINT@gctf@loop@h #1#2%
+\def\XINT_gctf_loop_h #1#2%
{%
- \expandafter\XINT@gctf@loop@i\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_gctf_loop_i\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@gctf@loop@i #1#2%
+\def\XINT_gctf_loop_i #1#2%
{%
- \expandafter\XINT@gctf@loop@j\expandafter {\expandafter{#2}#1}%
+ \expandafter\XINT_gctf_loop_j\expandafter {\expandafter{#2}#1}%
}%
-\def\XINT@gctf@loop@j #1#2%
+\def\XINT_gctf_loop_j #1#2%
{%
- \expandafter\XINT@gctf@loop@a\expandafter {#2}#1%
+ \expandafter\XINT_gctf_loop_a\expandafter {#2}#1%
}%
-\def\XINT@gctf@end #1.#2#3#4#5{\xintraw {#2/#3}[0]}%
+\def\XINT_gctf_end #1.#2#3#4#5{\xintraw {#2/#3}[0]}%
\def\xintiGCtoF {\romannumeral0\xintigctof }%
\def\xintigctof #1%
{%
- \expandafter\XINT@igctf@prep \romannumeral-`0#1+\W/%
+ \expandafter\XINT_igctf_prep \romannumeral-`0#1+\W/%
}%
-\def\XINT@igctf@prep
+\def\XINT_igctf_prep
{%
- \XINT@igctf@loop@a 1001%
+ \XINT_igctf_loop_a 1001%
}%
-\def\XINT@igctf@loop@a #1#2#3#4#5+%
+\def\XINT_igctf_loop_a #1#2#3#4#5+%
{%
- \expandafter\XINT@igctf@loop@b
+ \expandafter\XINT_igctf_loop_b
\romannumeral-`0#5.{#1}{#2}{#3}{#4}%
}%
-\def\XINT@igctf@loop@b #1.#2#3#4#5%
+\def\XINT_igctf_loop_b #1.#2#3#4#5%
{%
- \expandafter\XINT@igctf@loop@c\expandafter
- {\romannumeral0\xintiadd {#5}{\XINT@Mul {#1}{#3}}}%
- {\romannumeral0\xintiadd {#4}{\XINT@Mul {#1}{#2}}}%
+ \expandafter\XINT_igctf_loop_c\expandafter
+ {\romannumeral0\xintiadd {#5}{\XINT_Mul {#1}{#3}}}%
+ {\romannumeral0\xintiadd {#4}{\XINT_Mul {#1}{#2}}}%
{#2}{#3}%
}%
-\def\XINT@igctf@loop@c #1#2%
+\def\XINT_igctf_loop_c #1#2%
{%
- \expandafter\XINT@igctf@loop@f\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_igctf_loop_f\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@igctf@loop@f #1#2#3#4/%
+\def\XINT_igctf_loop_f #1#2#3#4/%
{%
- \xint@w #4\XINT@igctf@end\W
- \expandafter\XINT@igctf@loop@g
+ \xint_gob_til_w #4\XINT_igctf_end\W
+ \expandafter\XINT_igctf_loop_g
\romannumeral-`0#4.{#2}{#3}#1%
}%
-\def\XINT@igctf@loop@g #1.#2#3%
+\def\XINT_igctf_loop_g #1.#2#3%
{%
- \expandafter\XINT@igctf@loop@h\expandafter
- {\romannumeral0\XINT@mul@fork #1\Z #3\Z }%
- {\romannumeral0\XINT@mul@fork #1\Z #2\Z }%
+ \expandafter\XINT_igctf_loop_h\expandafter
+ {\romannumeral0\XINT_mul_fork #1\Z #3\Z }%
+ {\romannumeral0\XINT_mul_fork #1\Z #2\Z }%
}%
-\def\XINT@igctf@loop@h #1#2%
+\def\XINT_igctf_loop_h #1#2%
{%
- \expandafter\XINT@igctf@loop@i\expandafter {#2}{#1}%
+ \expandafter\XINT_igctf_loop_i\expandafter {#2}{#1}%
}%
-\def\XINT@igctf@loop@i #1#2#3#4%
+\def\XINT_igctf_loop_i #1#2#3#4%
{%
- \XINT@igctf@loop@a {#3}{#4}{#1}{#2}%
+ \XINT_igctf_loop_a {#3}{#4}{#1}{#2}%
}%
-\def\XINT@igctf@end #1.#2#3#4#5{\xintraw {#4/#5}[0]}%
+\def\XINT_igctf_end #1.#2#3#4#5{\xintraw {#4/#5}[0]}%
\def\xintCstoCv {\romannumeral0\xintcstocv }%
\def\xintcstocv #1%
{%
- \expandafter\XINT@cstcv@prep \romannumeral-`0#1,\W,%
+ \expandafter\XINT_cstcv_prep \romannumeral-`0#1,\W,%
}%
-\def\XINT@cstcv@prep
+\def\XINT_cstcv_prep
{%
- \XINT@cstcv@loop@a {}1001%
+ \XINT_cstcv_loop_a {}1001%
}%
-\def\XINT@cstcv@loop@a #1#2#3#4#5#6,%
+\def\XINT_cstcv_loop_a #1#2#3#4#5#6,%
{%
- \xint@w #6\XINT@cstcv@end\W
- \expandafter\XINT@cstcv@loop@b
+ \xint_gob_til_w #6\XINT_cstcv_end\W
+ \expandafter\XINT_cstcv_loop_b
\romannumeral0\xintraw {#6}.{#2}{#3}{#4}{#5}{#1}%
}%
-\def\XINT@cstcv@loop@b #1/#2.#3#4#5#6%
+\def\XINT_cstcv_loop_b #1/#2.#3#4#5#6%
{%
- \expandafter\XINT@cstcv@loop@c\expandafter
- {\romannumeral0\XINT@mul@fork #2\Z #4\Z }%
- {\romannumeral0\XINT@mul@fork #2\Z #3\Z }%
- {\romannumeral0\xintiadd {\XINT@Mul {#2}{#6}}{\XINT@Mul {#1}{#4}}}%
- {\romannumeral0\xintiadd {\XINT@Mul {#2}{#5}}{\XINT@Mul {#1}{#3}}}%
+ \expandafter\XINT_cstcv_loop_c\expandafter
+ {\romannumeral0\XINT_mul_fork #2\Z #4\Z }%
+ {\romannumeral0\XINT_mul_fork #2\Z #3\Z }%
+ {\romannumeral0\xintiadd {\XINT_Mul {#2}{#6}}{\XINT_Mul {#1}{#4}}}%
+ {\romannumeral0\xintiadd {\XINT_Mul {#2}{#5}}{\XINT_Mul {#1}{#3}}}%
}%
-\def\XINT@cstcv@loop@c #1#2%
+\def\XINT_cstcv_loop_c #1#2%
{%
- \expandafter\XINT@cstcv@loop@d\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_cstcv_loop_d\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@cstcv@loop@d #1#2%
+\def\XINT_cstcv_loop_d #1#2%
{%
- \expandafter\XINT@cstcv@loop@e\expandafter {\expandafter{#2}#1}%
+ \expandafter\XINT_cstcv_loop_e\expandafter {\expandafter{#2}#1}%
}%
-\def\XINT@cstcv@loop@e #1#2%
+\def\XINT_cstcv_loop_e #1#2%
{%
- \expandafter\XINT@cstcv@loop@f\expandafter{#2}#1%
+ \expandafter\XINT_cstcv_loop_f\expandafter{#2}#1%
}%
-\def\XINT@cstcv@loop@f #1#2#3#4#5%
+\def\XINT_cstcv_loop_f #1#2#3#4#5%
{%
- \expandafter\XINT@cstcv@loop@g\expandafter
+ \expandafter\XINT_cstcv_loop_g\expandafter
{\romannumeral0\xintraw {#1/#2}}{#5}{#1}{#2}{#3}{#4}%
}%
-\def\XINT@cstcv@loop@g #1#2{\XINT@cstcv@loop@a {#2{#1[0]}}}%
-\def\XINT@cstcv@end #1.#2#3#4#5#6{ #6}%
+\def\XINT_cstcv_loop_g #1#2{\XINT_cstcv_loop_a {#2{#1[0]}}}%
+\def\XINT_cstcv_end #1.#2#3#4#5#6{ #6}%
\def\xintiCstoCv {\romannumeral0\xinticstocv }%
\def\xinticstocv #1%
{%
- \expandafter\XINT@icstcv@prep \romannumeral-`0#1,\W,%
+ \expandafter\XINT_icstcv_prep \romannumeral-`0#1,\W,%
}%
-\def\XINT@icstcv@prep
+\def\XINT_icstcv_prep
{%
- \XINT@icstcv@loop@a {}1001%
+ \XINT_icstcv_loop_a {}1001%
}%
-\def\XINT@icstcv@loop@a #1#2#3#4#5#6,%
+\def\XINT_icstcv_loop_a #1#2#3#4#5#6,%
{%
- \xint@w #6\XINT@icstcv@end\W
+ \xint_gob_til_w #6\XINT_icstcv_end\W
\expandafter
- \XINT@icstcv@loop@b \romannumeral-`0#6.{#2}{#3}{#4}{#5}{#1}%
+ \XINT_icstcv_loop_b \romannumeral-`0#6.{#2}{#3}{#4}{#5}{#1}%
}%
-\def\XINT@icstcv@loop@b #1.#2#3#4#5%
+\def\XINT_icstcv_loop_b #1.#2#3#4#5%
{%
- \expandafter\XINT@icstcv@loop@c\expandafter
- {\romannumeral0\xintiadd {#5}{\XINT@Mul {#1}{#3}}}%
- {\romannumeral0\xintiadd {#4}{\XINT@Mul {#1}{#2}}}%
+ \expandafter\XINT_icstcv_loop_c\expandafter
+ {\romannumeral0\xintiadd {#5}{\XINT_Mul {#1}{#3}}}%
+ {\romannumeral0\xintiadd {#4}{\XINT_Mul {#1}{#2}}}%
{{#2}{#3}}%
}%
-\def\XINT@icstcv@loop@c #1#2%
+\def\XINT_icstcv_loop_c #1#2%
{%
- \expandafter\XINT@icstcv@loop@d\expandafter {#2}{#1}%
+ \expandafter\XINT_icstcv_loop_d\expandafter {#2}{#1}%
}%
-\def\XINT@icstcv@loop@d #1#2%
+\def\XINT_icstcv_loop_d #1#2%
{%
- \expandafter\XINT@icstcv@loop@e\expandafter
+ \expandafter\XINT_icstcv_loop_e\expandafter
{\romannumeral0\xintraw {#1/#2}}{{#1}{#2}}%
}%
-\def\XINT@icstcv@loop@e #1#2#3#4{\XINT@icstcv@loop@a {#4{#1[0]}}#2#3}%
-\def\XINT@icstcv@end #1.#2#3#4#5#6{ #6}%
+\def\XINT_icstcv_loop_e #1#2#3#4{\XINT_icstcv_loop_a {#4{#1[0]}}#2#3}%
+\def\XINT_icstcv_end #1.#2#3#4#5#6{ #6}%
\def\xintGCtoCv {\romannumeral0\xintgctocv }%
\def\xintgctocv #1%
{%
- \expandafter\XINT@gctcv@prep \romannumeral-`0#1+\W/%
+ \expandafter\XINT_gctcv_prep \romannumeral-`0#1+\W/%
}%
-\def\XINT@gctcv@prep
+\def\XINT_gctcv_prep
{%
- \XINT@gctcv@loop@a {}1001%
+ \XINT_gctcv_loop_a {}1001%
}%
-\def\XINT@gctcv@loop@a #1#2#3#4#5#6+%
+\def\XINT_gctcv_loop_a #1#2#3#4#5#6+%
{%
- \expandafter\XINT@gctcv@loop@b
+ \expandafter\XINT_gctcv_loop_b
\romannumeral0\xintraw {#6}.{#2}{#3}{#4}{#5}{#1}%
}%
-\def\XINT@gctcv@loop@b #1/#2.#3#4#5#6%
+\def\XINT_gctcv_loop_b #1/#2.#3#4#5#6%
{%
- \expandafter\XINT@gctcv@loop@c\expandafter
- {\romannumeral0\XINT@mul@fork #2\Z #4\Z }%
- {\romannumeral0\XINT@mul@fork #2\Z #3\Z }%
- {\romannumeral0\xintiadd {\XINT@Mul {#2}{#6}}{\XINT@Mul {#1}{#4}}}%
- {\romannumeral0\xintiadd {\XINT@Mul {#2}{#5}}{\XINT@Mul {#1}{#3}}}%
+ \expandafter\XINT_gctcv_loop_c\expandafter
+ {\romannumeral0\XINT_mul_fork #2\Z #4\Z }%
+ {\romannumeral0\XINT_mul_fork #2\Z #3\Z }%
+ {\romannumeral0\xintiadd {\XINT_Mul {#2}{#6}}{\XINT_Mul {#1}{#4}}}%
+ {\romannumeral0\xintiadd {\XINT_Mul {#2}{#5}}{\XINT_Mul {#1}{#3}}}%
}%
-\def\XINT@gctcv@loop@c #1#2%
+\def\XINT_gctcv_loop_c #1#2%
{%
- \expandafter\XINT@gctcv@loop@d\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_gctcv_loop_d\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@gctcv@loop@d #1#2%
+\def\XINT_gctcv_loop_d #1#2%
{%
- \expandafter\XINT@gctcv@loop@e\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_gctcv_loop_e\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@gctcv@loop@e #1#2%
+\def\XINT_gctcv_loop_e #1#2%
{%
- \expandafter\XINT@gctcv@loop@f\expandafter {#2}#1%
+ \expandafter\XINT_gctcv_loop_f\expandafter {#2}#1%
}%
-\def\XINT@gctcv@loop@f #1#2%
+\def\XINT_gctcv_loop_f #1#2%
{%
- \expandafter\XINT@gctcv@loop@g\expandafter
+ \expandafter\XINT_gctcv_loop_g\expandafter
{\romannumeral0\xintraw {#1/#2}}{{#1}{#2}}%
}%
-\def\XINT@gctcv@loop@g #1#2#3#4%
+\def\XINT_gctcv_loop_g #1#2#3#4%
{%
- \XINT@gctcv@loop@h {#4{#1[0]}}{#2#3}%
+ \XINT_gctcv_loop_h {#4{#1[0]}}{#2#3}%
}%
-\def\XINT@gctcv@loop@h #1#2#3/%
+\def\XINT_gctcv_loop_h #1#2#3/%
{%
- \xint@w #3\XINT@gctcv@end\W\expandafter\XINT@gctcv@loop@i
+ \xint_gob_til_w #3\XINT_gctcv_end\W
+ \expandafter\XINT_gctcv_loop_i
\romannumeral0\xintraw {#3}.#2{#1}%
}%
-\def\XINT@gctcv@loop@i #1/#2.#3#4#5#6%
+\def\XINT_gctcv_loop_i #1/#2.#3#4#5#6%
{%
- \expandafter\XINT@gctcv@loop@j\expandafter
- {\romannumeral0\XINT@mul@fork #1\Z #6\Z }%
- {\romannumeral0\XINT@mul@fork #1\Z #5\Z }%
- {\romannumeral0\XINT@mul@fork #2\Z #4\Z }%
- {\romannumeral0\XINT@mul@fork #2\Z #3\Z }%
+ \expandafter\XINT_gctcv_loop_j\expandafter
+ {\romannumeral0\XINT_mul_fork #1\Z #6\Z }%
+ {\romannumeral0\XINT_mul_fork #1\Z #5\Z }%
+ {\romannumeral0\XINT_mul_fork #2\Z #4\Z }%
+ {\romannumeral0\XINT_mul_fork #2\Z #3\Z }%
}%
-\def\XINT@gctcv@loop@j #1#2%
+\def\XINT_gctcv_loop_j #1#2%
{%
- \expandafter\XINT@gctcv@loop@k\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_gctcv_loop_k\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@gctcv@loop@k #1#2%
+\def\XINT_gctcv_loop_k #1#2%
{%
- \expandafter\XINT@gctcv@loop@l\expandafter {\expandafter{#2}#1}%
+ \expandafter\XINT_gctcv_loop_l\expandafter {\expandafter{#2}#1}%
}%
-\def\XINT@gctcv@loop@l #1#2%
+\def\XINT_gctcv_loop_l #1#2%
{%
- \expandafter\XINT@gctcv@loop@m\expandafter {\expandafter{#2}#1}%
+ \expandafter\XINT_gctcv_loop_m\expandafter {\expandafter{#2}#1}%
}%
-\def\XINT@gctcv@loop@m #1#2{\XINT@gctcv@loop@a {#2}#1}%
-\def\XINT@gctcv@end #1.#2#3#4#5#6{ #6}%
+\def\XINT_gctcv_loop_m #1#2{\XINT_gctcv_loop_a {#2}#1}%
+\def\XINT_gctcv_end #1.#2#3#4#5#6{ #6}%
\def\xintiGCtoCv {\romannumeral0\xintigctocv }%
\def\xintigctocv #1%
{%
- \expandafter\XINT@igctcv@prep \romannumeral-`0#1+\W/%
+ \expandafter\XINT_igctcv_prep \romannumeral-`0#1+\W/%
}%
-\def\XINT@igctcv@prep
+\def\XINT_igctcv_prep
{%
- \XINT@igctcv@loop@a {}1001%
+ \XINT_igctcv_loop_a {}1001%
}%
-\def\XINT@igctcv@loop@a #1#2#3#4#5#6+%
+\def\XINT_igctcv_loop_a #1#2#3#4#5#6+%
{%
- \expandafter\XINT@igctcv@loop@b
+ \expandafter\XINT_igctcv_loop_b
\romannumeral-`0#6.{#2}{#3}{#4}{#5}{#1}%
}%
-\def\XINT@igctcv@loop@b #1.#2#3#4#5%
+\def\XINT_igctcv_loop_b #1.#2#3#4#5%
{%
- \expandafter\XINT@igctcv@loop@c\expandafter
- {\romannumeral0\xintiadd {#5}{\XINT@Mul {#1}{#3}}}%
- {\romannumeral0\xintiadd {#4}{\XINT@Mul {#1}{#2}}}%
+ \expandafter\XINT_igctcv_loop_c\expandafter
+ {\romannumeral0\xintiadd {#5}{\XINT_Mul {#1}{#3}}}%
+ {\romannumeral0\xintiadd {#4}{\XINT_Mul {#1}{#2}}}%
{{#2}{#3}}%
}%
-\def\XINT@igctcv@loop@c #1#2%
+\def\XINT_igctcv_loop_c #1#2%
{%
- \expandafter\XINT@igctcv@loop@f\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_igctcv_loop_f\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@igctcv@loop@f #1#2#3#4/%
+\def\XINT_igctcv_loop_f #1#2#3#4/%
{%
- \xint@w #4\XINT@igctcv@end@a\W
- \expandafter\XINT@igctcv@loop@g
+ \xint_gob_til_w #4\XINT_igctcv_end_a\W
+ \expandafter\XINT_igctcv_loop_g
\romannumeral-`0#4.#1#2{#3}%
}%
-\def\XINT@igctcv@loop@g #1.#2#3#4#5%
+\def\XINT_igctcv_loop_g #1.#2#3#4#5%
{%
- \expandafter\XINT@igctcv@loop@h\expandafter
- {\romannumeral0\XINT@mul@fork #1\Z #5\Z }%
- {\romannumeral0\XINT@mul@fork #1\Z #4\Z }%
+ \expandafter\XINT_igctcv_loop_h\expandafter
+ {\romannumeral0\XINT_mul_fork #1\Z #5\Z }%
+ {\romannumeral0\XINT_mul_fork #1\Z #4\Z }%
{{#2}{#3}}%
}%
-\def\XINT@igctcv@loop@h #1#2%
+\def\XINT_igctcv_loop_h #1#2%
{%
- \expandafter\XINT@igctcv@loop@i\expandafter {\expandafter{#2}{#1}}%
+ \expandafter\XINT_igctcv_loop_i\expandafter {\expandafter{#2}{#1}}%
}%
-\def\XINT@igctcv@loop@i #1#2{\XINT@igctcv@loop@k #2{#2#1}}%
-\def\XINT@igctcv@loop@k #1#2%
+\def\XINT_igctcv_loop_i #1#2{\XINT_igctcv_loop_k #2{#2#1}}%
+\def\XINT_igctcv_loop_k #1#2%
{%
- \expandafter\XINT@igctcv@loop@l\expandafter
+ \expandafter\XINT_igctcv_loop_l\expandafter
{\romannumeral0\xintraw {#1/#2}}%
}%
-\def\XINT@igctcv@loop@l #1#2#3{\XINT@igctcv@loop@a {#3{#1[0]}}#2}%
-\def\XINT@igctcv@end@a #1.#2#3#4#5%
+\def\XINT_igctcv_loop_l #1#2#3{\XINT_igctcv_loop_a {#3{#1[0]}}#2}%
+\def\XINT_igctcv_end_a #1.#2#3#4#5%
{%
- \expandafter\XINT@igctcv@end@b\expandafter
+ \expandafter\XINT_igctcv_end_b\expandafter
{\romannumeral0\xintraw {#2/#3}}%
}%
-\def\XINT@igctcv@end@b #1#2{ #2{#1[0]}}%
+\def\XINT_igctcv_end_b #1#2{ #2{#1[0]}}%
\def\xintCntoF {\romannumeral0\xintcntof }%
\def\xintcntof #1%
{%
- \expandafter\XINT@cntf\expandafter {\the\numexpr #1}%
+ \expandafter\XINT_cntf\expandafter {\the\numexpr #1}%
}%
-\def\XINT@cntf #1#2%
+\def\XINT_cntf #1#2%
{%
\ifnum #1>0
- \xint@afterfi {\expandafter\XINT@cntf@loop\expandafter
+ \xint_afterfi {\expandafter\XINT_cntf_loop\expandafter
{\the\numexpr #1-1\expandafter}\expandafter
{\romannumeral-`0#2{#1}}{#2}}%
\else
- \xint@afterfi
+ \xint_afterfi
{\ifnum #1=0
- \xint@afterfi {\expandafter\space \romannumeral-`0#2{0}}%
- \else \xint@afterfi { 0/1[0]}%
+ \xint_afterfi {\expandafter\space \romannumeral-`0#2{0}}%
+ \else \xint_afterfi { 0/1[0]}%
\fi}%
\fi
}%
-\def\XINT@cntf@loop #1#2#3%
+\def\XINT_cntf_loop #1#2#3%
{%
- \ifnum #1>0 \else \XINT@cntf@exit \fi
- \expandafter\XINT@cntf@loop\expandafter
+ \ifnum #1>0 \else \XINT_cntf_exit \fi
+ \expandafter\XINT_cntf_loop\expandafter
{\the\numexpr #1-1\expandafter }\expandafter
{\romannumeral0\xintadd {\xintDiv {1[0]}{#2}}{#3{#1}}}%
{#3}%
}%
-\def\XINT@cntf@exit \fi
- \expandafter\XINT@cntf@loop\expandafter
+\def\XINT_cntf_exit \fi
+ \expandafter\XINT_cntf_loop\expandafter
#1\expandafter #2#3%
{%
- \fi\xint@gobble@ii #2%
+ \fi\xint_gobble_ii #2%
}%
\def\xintGCntoF {\romannumeral0\xintgcntof }%
\def\xintgcntof #1%
{%
- \expandafter\XINT@gcntf\expandafter {\the\numexpr #1}%
+ \expandafter\XINT_gcntf\expandafter {\the\numexpr #1}%
}%
-\def\XINT@gcntf #1#2#3%
+\def\XINT_gcntf #1#2#3%
{%
\ifnum #1>0
- \xint@afterfi {\expandafter\XINT@gcntf@loop\expandafter
+ \xint_afterfi {\expandafter\XINT_gcntf_loop\expandafter
{\the\numexpr #1-1\expandafter}\expandafter
{\romannumeral-`0#2{#1}}{#2}{#3}}%
\else
- \xint@afterfi
+ \xint_afterfi
{\ifnum #1=0
- \xint@afterfi {\expandafter\space\romannumeral-`0#2{0}}%
- \else \xint@afterfi { 0/1[0]}%
+ \xint_afterfi {\expandafter\space\romannumeral-`0#2{0}}%
+ \else \xint_afterfi { 0/1[0]}%
\fi}%
\fi
}%
-\def\XINT@gcntf@loop #1#2#3#4%
+\def\XINT_gcntf_loop #1#2#3#4%
{%
- \ifnum #1>0 \else \XINT@gcntf@exit \fi
- \expandafter\XINT@gcntf@loop\expandafter
+ \ifnum #1>0 \else \XINT_gcntf_exit \fi
+ \expandafter\XINT_gcntf_loop\expandafter
{\the\numexpr #1-1\expandafter }\expandafter
{\romannumeral0\xintadd {\xintDiv {#4{#1}}{#2}}{#3{#1}}}%
{#3}{#4}%
}%
-\def\XINT@gcntf@exit \fi
- \expandafter\XINT@gcntf@loop\expandafter
+\def\XINT_gcntf_exit \fi
+ \expandafter\XINT_gcntf_loop\expandafter
#1\expandafter #2#3#4%
{%
- \fi\xint@gobble@ii #2%
+ \fi\xint_gobble_ii #2%
}%
\def\xintCntoCs {\romannumeral0\xintcntocs }%
\def\xintcntocs #1%
{%
- \expandafter\XINT@cntcs\expandafter {\the\numexpr #1}%
+ \expandafter\XINT_cntcs\expandafter {\the\numexpr #1}%
}%
-\def\XINT@cntcs #1#2%
+\def\XINT_cntcs #1#2%
{%
\ifnum #1<0
- \xint@afterfi { 0/1[0]}%
+ \xint_afterfi { 0/1[0]}%
\else
- \xint@afterfi {\expandafter\XINT@cntcs@loop\expandafter
+ \xint_afterfi {\expandafter\XINT_cntcs_loop\expandafter
{\the\numexpr #1-1\expandafter}\expandafter
{\expandafter{\romannumeral-`0#2{#1}}}{#2}}%
\fi
}%
-\def\XINT@cntcs@loop #1#2#3%
+\def\XINT_cntcs_loop #1#2#3%
{%
- \ifnum #1>-1 \else \XINT@cntcs@exit \fi
- \expandafter\XINT@cntcs@loop\expandafter
+ \ifnum #1>-1 \else \XINT_cntcs_exit \fi
+ \expandafter\XINT_cntcs_loop\expandafter
{\the\numexpr #1-1\expandafter }\expandafter
{\expandafter{\romannumeral-`0#3{#1}},#2}{#3}%
}%
-\def\XINT@cntcs@exit \fi
- \expandafter\XINT@cntcs@loop\expandafter
+\def\XINT_cntcs_exit \fi
+ \expandafter\XINT_cntcs_loop\expandafter
#1\expandafter #2#3%
{%
- \fi\XINT@cntcs@@exit #2%
+ \fi\XINT_cntcs__exit #2%
}%
-\def\XINT@cntcs@@exit #1,{ }%
+\def\XINT_cntcs__exit #1,{ }%
\def\xintCntoGC {\romannumeral0\xintcntogc }%
\def\xintcntogc #1%
{%
- \expandafter\XINT@cntgc\expandafter {\the\numexpr #1}%
+ \expandafter\XINT_cntgc\expandafter {\the\numexpr #1}%
}%
-\def\XINT@cntgc #1#2%
+\def\XINT_cntgc #1#2%
{%
\ifnum #1<0
- \xint@afterfi { 0/1[0]}%
+ \xint_afterfi { 0/1[0]}%
\else
- \xint@afterfi {\expandafter\XINT@cntgc@loop\expandafter
+ \xint_afterfi {\expandafter\XINT_cntgc_loop\expandafter
{\the\numexpr #1-1\expandafter}\expandafter
{\expandafter{\romannumeral-`0#2{#1}}}{#2}}%
\fi
}%
-\def\XINT@cntgc@loop #1#2#3%
+\def\XINT_cntgc_loop #1#2#3%
{%
- \ifnum #1>-1 \else \XINT@cntgc@exit \fi
- \expandafter\XINT@cntgc@loop\expandafter
+ \ifnum #1>-1 \else \XINT_cntgc_exit \fi
+ \expandafter\XINT_cntgc_loop\expandafter
{\the\numexpr #1-1\expandafter }\expandafter
{\expandafter{\romannumeral-`0#3{#1}}+1/#2}{#3}%
}%
-\def\XINT@cntgc@exit \fi
- \expandafter\XINT@cntgc@loop\expandafter
+\def\XINT_cntgc_exit \fi
+ \expandafter\XINT_cntgc_loop\expandafter
#1\expandafter #2#3%
{%
- \fi\XINT@cntgc@@exit #2%
+ \fi\XINT_cntgc__exit #2%
}%
-\def\XINT@cntgc@@exit #1+1/{ }%
+\def\XINT_cntgc__exit #1+1/{ }%
\def\xintGCntoGC {\romannumeral0\xintgcntogc }%
\def\xintgcntogc #1%
{%
- \expandafter\XINT@gcntgc\expandafter {\the\numexpr #1}%
+ \expandafter\XINT_gcntgc\expandafter {\the\numexpr #1}%
}%
-\def\XINT@gcntgc #1#2#3%
+\def\XINT_gcntgc #1#2#3%
{%
\ifnum #1<0
- \xint@afterfi { {0/1[0]}}%
+ \xint_afterfi { {0/1[0]}}%
\else
- \xint@afterfi {\expandafter\XINT@gcntgc@loop\expandafter
+ \xint_afterfi {\expandafter\XINT_gcntgc_loop\expandafter
{\the\numexpr #1-1\expandafter}\expandafter
{\expandafter{\romannumeral-`0#2{#1}}}{#2}{#3}}%
\fi
}%
-\def\XINT@gcntgc@loop #1#2#3#4%
+\def\XINT_gcntgc_loop #1#2#3#4%
{%
- \ifnum #1>-1 \else \XINT@gcntgc@exit \fi
- \expandafter\XINT@gcntgc@loop@b\expandafter
+ \ifnum #1>-1 \else \XINT_gcntgc_exit \fi
+ \expandafter\XINT_gcntgc_loop_b\expandafter
{\expandafter{\romannumeral-`0#4{#1}}/#2}{#3{#1}}{#1}{#3}{#4}%
}%
-\def\XINT@gcntgc@loop@b #1#2#3%
+\def\XINT_gcntgc_loop_b #1#2#3%
{%
- \expandafter\XINT@gcntgc@loop\expandafter
+ \expandafter\XINT_gcntgc_loop\expandafter
{\the\numexpr #3-1\expandafter}\expandafter
{\expandafter{\romannumeral-`0#2}+#1}%
}%
-\def\XINT@gcntgc@exit \fi
- \expandafter\XINT@gcntgc@loop@b\expandafter #1#2#3#4#5%
+\def\XINT_gcntgc_exit \fi
+ \expandafter\XINT_gcntgc_loop_b\expandafter #1#2#3#4#5%
{%
- \fi\XINT@gcntgc@@exit #1%
+ \fi\XINT_gcntgc__exit #1%
}%
-\def\XINT@gcntgc@@exit #1/{ }%
+\def\XINT_gcntgc__exit #1/{ }%
\def\xintCstoGC {\romannumeral0\xintcstogc }%
\def\xintcstogc #1%
{%
- \expandafter\XINT@cstc@prep \romannumeral-`0#1,\W,%
+ \expandafter\XINT_cstc_prep \romannumeral-`0#1,\W,%
}%
-\def\XINT@cstc@prep #1,{\XINT@cstc@loop@a {{#1}}}%
-\def\XINT@cstc@loop@a #1#2,%
+\def\XINT_cstc_prep #1,{\XINT_cstc_loop_a {{#1}}}%
+\def\XINT_cstc_loop_a #1#2,%
{%
- \xint@w #2\XINT@cstc@end\W\XINT@cstc@loop@b {#1}{#2}%
+ \xint_gob_til_w #2\XINT_cstc_end\W
+ \XINT_cstc_loop_b {#1}{#2}%
}%
-\def\XINT@cstc@loop@b #1#2{\XINT@cstc@loop@a {#1+1/{#2}}}%
-\def\XINT@cstc@end\W\XINT@cstc@loop@b #1#2{ #1}%
+\def\XINT_cstc_loop_b #1#2{\XINT_cstc_loop_a {#1+1/{#2}}}%
+\def\XINT_cstc_end\W\XINT_cstc_loop_b #1#2{ #1}%
\def\xintGCtoGC {\romannumeral0\xintgctogc }%
\def\xintgctogc #1%
{%
- \expandafter\XINT@gctgc@start \romannumeral-`0#1+\W/%
+ \expandafter\XINT_gctgc_start \romannumeral-`0#1+\W/%
}%
-\def\XINT@gctgc@start {\XINT@gctgc@loop@a {}}%
-\def\XINT@gctgc@loop@a #1#2+#3/%
+\def\XINT_gctgc_start {\XINT_gctgc_loop_a {}}%
+\def\XINT_gctgc_loop_a #1#2+#3/%
{%
- \xint@w #3\XINT@gctgc@end\W\expandafter\XINT@gctgc@loop@b\expandafter
+ \xint_gob_til_w #3\XINT_gctgc_end\W
+ \expandafter\XINT_gctgc_loop_b\expandafter
{\romannumeral-`0#2}{#3}{#1}%
}%
-\def\XINT@gctgc@loop@b #1#2%
+\def\XINT_gctgc_loop_b #1#2%
{%
- \expandafter\XINT@gctgc@loop@c\expandafter
+ \expandafter\XINT_gctgc_loop_c\expandafter
{\romannumeral-`0#2}{#1}%
}%
-\def\XINT@gctgc@loop@c #1#2#3%
+\def\XINT_gctgc_loop_c #1#2#3%
{%
- \XINT@gctgc@loop@a {#3{#2}+{#1}/}%
+ \XINT_gctgc_loop_a {#3{#2}+{#1}/}%
}%
-\def\XINT@gctgc@end\W\expandafter\XINT@gctgc@loop@b
+\def\XINT_gctgc_end\W\expandafter\XINT_gctgc_loop_b
{%
- \expandafter\XINT@gctgc@@end
+ \expandafter\XINT_gctgc__end
}%
-\def\XINT@gctgc@@end #1#2#3{ #3{#1}}%
-\XINT@cfrac@restorecatcodes@endinput%
+\def\XINT_gctgc__end #1#2#3{ #3{#1}}%
+\XINT_cfrac_restorecatcodes_endinput%
\endinput
%%
%% End of file `xintcfrac.sty'.
diff --git a/Master/texmf-dist/tex/generic/xint/xintfrac.sty b/Master/texmf-dist/tex/generic/xint/xintfrac.sty
index b74569d3c1b..a63770ad592 100644
--- a/Master/texmf-dist/tex/generic/xint/xintfrac.sty
+++ b/Master/texmf-dist/tex/generic/xint/xintfrac.sty
@@ -22,7 +22,7 @@
%% in the same archive or directory.)
%%
%%----------------------------------------------------------------
-%% The xint bundle (version 1.06a of May 9, 2013)
+%% The xint bundle (version 1.06b of May 14, 2013)
%% xintfrac: Expandable operations on fractions
%% Copyright (C) 2013 by Jean-Francois Burnol
%%----------------------------------------------------------------
@@ -108,11 +108,11 @@
\endlinechar=13 %
\catcode123=1 % {
\catcode125=2 % }
- \catcode64=11 % @
+ \catcode95=11 % _
\def\x
{%
\endgroup
- \edef\XINT@frac@restorecatcodes@endinput
+ \edef\XINT_frac_restorecatcodes_endinput
{%
\catcode94=\the\catcode94 % ^
\catcode93=\the\catcode93 % ]
@@ -130,7 +130,7 @@
\catcode45=\the\catcode45 % -
\catcode44=\the\catcode44 % ,
\catcode35=\the\catcode35 % #
- \catcode64=\the\catcode64 % @
+ \catcode95=\the\catcode95 % _
\catcode125=\the\catcode125 % }
\catcode123=\the\catcode123 % {
\endlinechar=\the\endlinechar
@@ -139,13 +139,14 @@
\catcode61=\the\catcode61\relax % =
\noexpand\endinput
}%
- \XINT@setcatcodes
+ \XINT_setcatcodes
\catcode91=12 % [
\catcode93=12 % ]
\catcode94=7 % ^
}%
\x
\begingroup
+ \catcode64=11 % @
\catcode58=12 % :
\expandafter\ifx\csname ProvidesPackage\endcsname\relax
\def\x#1#2#3[#4]{\endgroup
@@ -165,745 +166,750 @@
\fi
\expandafter\x\csname ver@xintfrac.sty\endcsname
\ProvidesPackage{xintfrac}%
- [2013/05/09 v1.06a Expandable operations on fractions (jfB)]%
+ [2013/05/14 v1.06b Expandable operations on fractions (jfB)]%
\def\xintLen {\romannumeral0\xintlen }%
\def\xintlen #1%
{%
- \expandafter\XINT@flen\romannumeral0\XINT@infrac {#1}%
+ \expandafter\XINT_flen\romannumeral0\XINT_infrac {#1}%
}%
-\def\XINT@flen #1#2#3%
+\def\XINT_flen #1#2#3%
{%
\expandafter\space
- \the\numexpr -1+\XINT@Abs {#1}+\XINT@Len {#2}+\XINT@Len {#3}\relax
+ \the\numexpr -1+\XINT_Abs {#1}+\XINT_Len {#2}+\XINT_Len {#3}\relax
}%
-\def\XINT@outfrac #1#2#3%
+\def\XINT_outfrac #1#2#3%
{%
- \ifcase\XINT@Sgn{#3}
- \expandafter \XINT@outfrac@divisionbyzero
+ \ifcase\XINT_Sgn{#3}
+ \expandafter \XINT_outfrac_divisionbyzero
\or
- \expandafter \XINT@outfrac@P
+ \expandafter \XINT_outfrac_P
\else
- \expandafter \XINT@outfrac@N
+ \expandafter \XINT_outfrac_N
\fi
{#2}{#3}[#1]%
}%
-\def\XINT@outfrac@divisionbyzero #1#2{\xintError:DivisionByZero\space #1/0}%
-\def\XINT@outfrac@P #1#2%
+\def\XINT_outfrac_divisionbyzero #1#2{\xintError:DivisionByZero\space #1/0}%
+\def\XINT_outfrac_P #1#2%
{%
- \ifcase\XINT@Sgn{#1}
- \expandafter\XINT@outfrac@Zero
+ \ifcase\XINT_Sgn{#1}
+ \expandafter\XINT_outfrac_Zero
\fi
\space #1/#2%
}%
-\def\XINT@outfrac@Zero #1[#2]{ 0/1[0]}%
-\def\XINT@outfrac@N #1#2%
+\def\XINT_outfrac_Zero #1[#2]{ 0/1[0]}%
+\def\XINT_outfrac_N #1#2%
{%
- \expandafter\XINT@outfrac@N@a\expandafter
- {\romannumeral0\XINT@opp #2}{\romannumeral0\XINT@opp #1}%
+ \expandafter\XINT_outfrac_N_a\expandafter
+ {\romannumeral0\XINT_opp #2}{\romannumeral0\XINT_opp #1}%
}%
-\def\XINT@outfrac@N@a #1#2%
+\def\XINT_outfrac_N_a #1#2%
{%
- \expandafter\XINT@outfrac@P\expandafter {#2}{#1}%
+ \expandafter\XINT_outfrac_P\expandafter {#2}{#1}%
}%
-\def\XINT@inFrac {\romannumeral0\XINT@infrac }%
-\def\XINT@infrac #1%
+\def\XINT_inFrac {\romannumeral0\XINT_infrac }%
+\def\XINT_infrac #1%
{%
- \expandafter\XINT@infrac@ \romannumeral-`0#1[\W]\Z\T
+ \expandafter\XINT_infrac_ \romannumeral-`0#1[\W]\Z\T
}%
-\def\XINT@infrac@ #1[#2#3]#4\Z
+\def\XINT_infrac_ #1[#2#3]#4\Z
{%
- \xint@UDwfork
- #2\dummy \XINT@infrac@A
- \W\dummy \XINT@infrac@B
- \xint@UDkrof
+ \xint_UDwfork
+ #2\dummy \XINT_infrac_A
+ \W\dummy \XINT_infrac_B
+ \krof
#1[#2#3]#4%
}%
-\def\XINT@infrac@A #1[\W]\T
+\def\XINT_infrac_A #1[\W]\T
{%
- \XINT@frac #1/\W\Z
+ \XINT_frac #1/\W\Z
}%
-\def\XINT@infrac@B #1%
+\def\XINT_infrac_B #1%
{%
- \xint@zero #1\XINT@infrac@Zero0\XINT@infrac@BB #1%
+ \xint_gob_til_zero #1\XINT_infrac_Zero0\XINT_infrac_BB #1%
}%
-\def\XINT@infrac@BB #1[\W]\T {\XINT@infrac@BC #1/\W\Z }%
-\def\XINT@infrac@BC #1/#2#3\Z
+\def\XINT_infrac_BB #1[\W]\T {\XINT_infrac_BC #1/\W\Z }%
+\def\XINT_infrac_BC #1/#2#3\Z
{%
- \xint@UDwfork
- #2\dummy \XINT@infrac@BCa
- \W\dummy {\expandafter\XINT@infrac@BCb \romannumeral-`0#2}%
- \xint@UDkrof
+ \xint_UDwfork
+ #2\dummy \XINT_infrac_BCa
+ \W\dummy {\expandafter\XINT_infrac_BCb \romannumeral-`0#2}%
+ \krof
#3\Z #1\Z
}%
-\def\XINT@infrac@BCa \Z #1[#2]#3\Z { {#2}{#1}{1}}%
-\def\XINT@infrac@BCb #1[#2]/\W\Z #3\Z { {#2}{#3}{#1}}%
-\def\XINT@infrac@Zero #1\T { {0}{0}{1}}%
-\def\XINT@frac #1/#2#3\Z
+\def\XINT_infrac_BCa \Z #1[#2]#3\Z { {#2}{#1}{1}}%
+\def\XINT_infrac_BCb #1[#2]/\W\Z #3\Z { {#2}{#3}{#1}}%
+\def\XINT_infrac_Zero #1\T { {0}{0}{1}}%
+\def\XINT_frac #1/#2#3\Z
{%
- \xint@UDwfork
- #2\dummy \XINT@frac@A
- \W\dummy {\expandafter\XINT@frac@B \romannumeral-`0#2}%
- \xint@UDkrof
+ \xint_UDwfork
+ #2\dummy \XINT_frac_A
+ \W\dummy {\expandafter\XINT_frac_B \romannumeral-`0#2}%
+ \krof
#3.\W\Z #1.\W\Z
}%
-\def\XINT@frac@B #1.#2#3\Z
+\def\XINT_frac_B #1.#2#3\Z
{%
- \xint@UDwfork
- #2\dummy \XINT@frac@Ba
- \W\dummy {\XINT@frac@Bb #2}%
- \xint@UDkrof
+ \xint_UDwfork
+ #2\dummy \XINT_frac_Ba
+ \W\dummy {\XINT_frac_Bb #2}%
+ \krof
#3\Z #1\Z
}%
-\def\XINT@frac@Bb #1/\W.\W\Z #2\Z
+\def\XINT_frac_Bb #1/\W.\W\Z #2\Z
{%
- \expandafter \XINT@frac@C \expandafter
- {\romannumeral0\XINT@length {#1}}{#2#1}%
+ \expandafter \XINT_frac_C \expandafter
+ {\romannumeral0\XINT_length {#1}}{#2#1}%
}%
-\def\XINT@frac@Ba \Z #1/\W\Z {\XINT@frac@C {0}{#1}}%
-\def\XINT@frac@A .\W\Z {\XINT@frac@C {0}{1}}%
-\def\XINT@frac@C #1#2#3.#4#5\Z
+\def\XINT_frac_Ba \Z #1/\W\Z {\XINT_frac_C {0}{#1}}%
+\def\XINT_frac_A .\W\Z {\XINT_frac_C {0}{1}}%
+\def\XINT_frac_C #1#2#3.#4#5\Z
{%
- \xint@UDwfork
- #4\dummy \XINT@frac@Ca
- \W\dummy {\XINT@frac@Cb #4}%
- \xint@UDkrof
+ \xint_UDwfork
+ #4\dummy \XINT_frac_Ca
+ \W\dummy {\XINT_frac_Cb #4}%
+ \krof
#5\Z #3\Z {#1}{#2}%
}%
-\def\XINT@frac@Ca \Z #1\Z {\XINT@frac@D {0}{#1}}%
-\def\XINT@frac@Cb #1.\W\Z #2\Z
+\def\XINT_frac_Ca \Z #1\Z {\XINT_frac_D {0}{#1}}%
+\def\XINT_frac_Cb #1.\W\Z #2\Z
{%
- \expandafter\XINT@frac@D\expandafter
- {\romannumeral0\XINT@length {#1}}{#2#1}%
+ \expandafter\XINT_frac_D\expandafter
+ {\romannumeral0\XINT_length {#1}}{#2#1}%
}%
-\def\XINT@frac@D #1#2#3#4%
+\def\XINT_frac_D #1#2#3#4%
{%
- \expandafter \XINT@frac@E \expandafter
+ \expandafter \XINT_frac_E \expandafter
{\the\numexpr -#1+#3\expandafter}\expandafter
- {\romannumeral0\XINT@num@loop #2\R\R\R\R\R\R\R\R\Z }%
- {\romannumeral0\XINT@num@loop #4\R\R\R\R\R\R\R\R\Z }%
+ {\romannumeral0\XINT_num_loop #2%
+ \xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z }%
+ {\romannumeral0\XINT_num_loop #4%
+ \xint_relax\xint_relax\xint_relax\xint_relax
+ \xint_relax\xint_relax\xint_relax\xint_relax\Z }%
}%
-\def\XINT@frac@E #1#2#3%
+\def\XINT_frac_E #1#2#3%
{%
- \expandafter \XINT@frac@F #3\Z {#2}{#1}%
+ \expandafter \XINT_frac_F #3\Z {#2}{#1}%
}%
-\def\XINT@frac@F #1%
+\def\XINT_frac_F #1%
{%
- \xint@UDzerominusfork
- #1-\dummy \XINT@frac@Gdivisionbyzero
- 0#1\dummy \XINT@frac@Gneg
- 0-\dummy {\XINT@frac@Gpos #1}%
- \xint@UDkrof
+ \xint_UDzerominusfork
+ #1-\dummy \XINT_frac_Gdivisionbyzero
+ 0#1\dummy \XINT_frac_Gneg
+ 0-\dummy {\XINT_frac_Gpos #1}%
+ \krof
}%
-\def\XINT@frac@Gdivisionbyzero #1\Z #2#3%
+\def\XINT_frac_Gdivisionbyzero #1\Z #2#3%
{%
\xintError:DivisionByZero\space {0}{#2}{0}%
}%
-\def\XINT@frac@Gneg #1\Z #2#3%
+\def\XINT_frac_Gneg #1\Z #2#3%
{%
- \expandafter\XINT@frac@H \expandafter{\romannumeral0\XINT@opp #2}{#3}{#1}%
+ \expandafter\XINT_frac_H \expandafter{\romannumeral0\XINT_opp #2}{#3}{#1}%
}%
-\def\XINT@frac@H #1#2{ {#2}{#1}}%
-\def\XINT@frac@Gpos #1\Z #2#3{ {#3}{#2}{#1}}%
-\def\XINT@factortens #1%
+\def\XINT_frac_H #1#2{ {#2}{#1}}%
+\def\XINT_frac_Gpos #1\Z #2#3{ {#3}{#2}{#1}}%
+\def\XINT_factortens #1%
{%
- \expandafter\XINT@cuz@cnt@loop\expandafter
- {\expandafter}\romannumeral0\XINT@rord@main {}#1%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \expandafter\XINT_cuz_cnt_loop\expandafter
+ {\expandafter}\romannumeral0\XINT_rord_main {}#1%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
\R\R\R\R\R\R\R\R\Z
}%
-\def\XINT@cuz@cnt #1%
+\def\XINT_cuz_cnt #1%
{%
- \XINT@cuz@cnt@loop {}#1\R\R\R\R\R\R\R\R\Z
+ \XINT_cuz_cnt_loop {}#1\R\R\R\R\R\R\R\R\Z
}%
-\def\XINT@cuz@cnt@loop #1#2#3#4#5#6#7#8#9%
+\def\XINT_cuz_cnt_loop #1#2#3#4#5#6#7#8#9%
{%
- \xint@r #9\XINT@cuz@cnt@toofara \R
- \expandafter\XINT@cuz@cnt@checka\expandafter
+ \xint_gob_til_r #9\XINT_cuz_cnt_toofara \R
+ \expandafter\XINT_cuz_cnt_checka\expandafter
{\the\numexpr #1+8\relax}{#2#3#4#5#6#7#8#9}%
}%
-\def\XINT@cuz@cnt@toofara\R
- \expandafter\XINT@cuz@cnt@checka\expandafter #1#2%
+\def\XINT_cuz_cnt_toofara\R
+ \expandafter\XINT_cuz_cnt_checka\expandafter #1#2%
{%
- \XINT@cuz@cnt@toofarb {#1}#2%
+ \XINT_cuz_cnt_toofarb {#1}#2%
}%
-\def\XINT@cuz@cnt@toofarb #1#2\Z {\XINT@cuz@cnt@toofarc #2\Z {#1}}%
-\def\XINT@cuz@cnt@toofarc #1#2#3#4#5#6#7#8%
+\def\XINT_cuz_cnt_toofarb #1#2\Z {\XINT_cuz_cnt_toofarc #2\Z {#1}}%
+\def\XINT_cuz_cnt_toofarc #1#2#3#4#5#6#7#8%
{%
- \xint@r #2\XINT@cuz@cnt@toofard 7%
- #3\XINT@cuz@cnt@toofard 6%
- #4\XINT@cuz@cnt@toofard 5%
- #5\XINT@cuz@cnt@toofard 4%
- #6\XINT@cuz@cnt@toofard 3%
- #7\XINT@cuz@cnt@toofard 2%
- #8\XINT@cuz@cnt@toofard 1%
+ \xint_gob_til_r #2\XINT_cuz_cnt_toofard 7%
+ #3\XINT_cuz_cnt_toofard 6%
+ #4\XINT_cuz_cnt_toofard 5%
+ #5\XINT_cuz_cnt_toofard 4%
+ #6\XINT_cuz_cnt_toofard 3%
+ #7\XINT_cuz_cnt_toofard 2%
+ #8\XINT_cuz_cnt_toofard 1%
\Z #1#2#3#4#5#6#7#8%
}%
-\def\XINT@cuz@cnt@toofard #1#2\Z #3\R #4\Z #5%
+\def\XINT_cuz_cnt_toofard #1#2\Z #3\R #4\Z #5%
{%
- \expandafter\XINT@cuz@cnt@toofare
+ \expandafter\XINT_cuz_cnt_toofare
\the\numexpr #3\relax \R\R\R\R\R\R\R\R\Z
{\the\numexpr #5-#1\relax}\R\Z
}%
-\def\XINT@cuz@cnt@toofare #1#2#3#4#5#6#7#8%
+\def\XINT_cuz_cnt_toofare #1#2#3#4#5#6#7#8%
{%
- \xint@r #2\XINT@cuz@cnt@stopc 1%
- #3\XINT@cuz@cnt@stopc 2%
- #4\XINT@cuz@cnt@stopc 3%
- #5\XINT@cuz@cnt@stopc 4%
- #6\XINT@cuz@cnt@stopc 5%
- #7\XINT@cuz@cnt@stopc 6%
- #8\XINT@cuz@cnt@stopc 7%
+ \xint_gob_til_r #2\XINT_cuz_cnt_stopc 1%
+ #3\XINT_cuz_cnt_stopc 2%
+ #4\XINT_cuz_cnt_stopc 3%
+ #5\XINT_cuz_cnt_stopc 4%
+ #6\XINT_cuz_cnt_stopc 5%
+ #7\XINT_cuz_cnt_stopc 6%
+ #8\XINT_cuz_cnt_stopc 7%
\Z #1#2#3#4#5#6#7#8%
}%
-\def\XINT@cuz@cnt@checka #1#2%
+\def\XINT_cuz_cnt_checka #1#2%
{%
- \expandafter\XINT@cuz@cnt@checkb\the\numexpr #2\relax \Z {#1}%
+ \expandafter\XINT_cuz_cnt_checkb\the\numexpr #2\relax \Z {#1}%
}%
-\def\XINT@cuz@cnt@checkb #1%
+\def\XINT_cuz_cnt_checkb #1%
{%
- \xint@zero #1\expandafter\XINT@cuz@cnt@loop\xint@z
- 0\XINT@cuz@cnt@stopa #1%
+ \xint_gob_til_zero #1\expandafter\XINT_cuz_cnt_loop\xint_gob_til_z
+ 0\XINT_cuz_cnt_stopa #1%
}%
-\def\XINT@cuz@cnt@stopa #1\Z
+\def\XINT_cuz_cnt_stopa #1\Z
{%
- \XINT@cuz@cnt@stopb #1\R\R\R\R\R\R\R\R\Z %
+ \XINT_cuz_cnt_stopb #1\R\R\R\R\R\R\R\R\Z %
}%
-\def\XINT@cuz@cnt@stopb #1#2#3#4#5#6#7#8#9%
+\def\XINT_cuz_cnt_stopb #1#2#3#4#5#6#7#8#9%
{%
- \xint@r #2\XINT@cuz@cnt@stopc 1%
- #3\XINT@cuz@cnt@stopc 2%
- #4\XINT@cuz@cnt@stopc 3%
- #5\XINT@cuz@cnt@stopc 4%
- #6\XINT@cuz@cnt@stopc 5%
- #7\XINT@cuz@cnt@stopc 6%
- #8\XINT@cuz@cnt@stopc 7%
- #9\XINT@cuz@cnt@stopc 8%
+ \xint_gob_til_r #2\XINT_cuz_cnt_stopc 1%
+ #3\XINT_cuz_cnt_stopc 2%
+ #4\XINT_cuz_cnt_stopc 3%
+ #5\XINT_cuz_cnt_stopc 4%
+ #6\XINT_cuz_cnt_stopc 5%
+ #7\XINT_cuz_cnt_stopc 6%
+ #8\XINT_cuz_cnt_stopc 7%
+ #9\XINT_cuz_cnt_stopc 8%
\Z #1#2#3#4#5#6#7#8#9%
}%
-\def\XINT@cuz@cnt@stopc #1#2\Z #3\R #4\Z #5%
+\def\XINT_cuz_cnt_stopc #1#2\Z #3\R #4\Z #5%
{%
- \expandafter\XINT@cuz@cnt@stopd\expandafter
+ \expandafter\XINT_cuz_cnt_stopd\expandafter
{\the\numexpr #5-#1}#3%
}%
-\def\XINT@cuz@cnt@stopd #1#2\R #3\Z
+\def\XINT_cuz_cnt_stopd #1#2\R #3\Z
{%
\expandafter\space\expandafter
- {\romannumeral0\XINT@rord@main {}#2%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF }{#1}%
+ {\romannumeral0\XINT_rord_main {}#2%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax }{#1}%
}%
\def\xintRaw {\romannumeral0\xintraw }%
\def\xintraw
{%
- \expandafter\XINT@raw\romannumeral0\XINT@infrac
+ \expandafter\XINT_raw\romannumeral0\XINT_infrac
}%
-\def\XINT@raw #1%
+\def\XINT_raw #1%
{%
- \ifcase\XINT@Sgn {#1}
- \expandafter\XINT@raw@Ba
+ \ifcase\XINT_Sgn {#1}
+ \expandafter\XINT_raw_Ba
\or
- \expandafter\XINT@raw@A
+ \expandafter\XINT_raw_A
\else
- \expandafter\XINT@raw@Ba
+ \expandafter\XINT_raw_Ba
\fi
{#1}%
}%
-\def\XINT@raw@A #1#2#3{\xint@dsh {#2}{-#1}/#3}%
-\def\XINT@raw@Ba #1#2#3{\expandafter\XINT@raw@Bb
- \expandafter{\romannumeral0\xint@dsh {#3}{#1}}{#2}}%
-\def\XINT@raw@Bb #1#2{ #2/#1}%
+\def\XINT_raw_A #1#2#3{\xint_dsh {#2}{-#1}/#3}%
+\def\XINT_raw_Ba #1#2#3{\expandafter\XINT_raw_Bb
+ \expandafter{\romannumeral0\xint_dsh {#3}{#1}}{#2}}%
+\def\XINT_raw_Bb #1#2{ #2/#1}%
\def\xintNumerator {\romannumeral0\xintnumerator }%
\def\xintnumerator
{%
- \expandafter\XINT@numer\romannumeral0\XINT@infrac
+ \expandafter\XINT_numer\romannumeral0\XINT_infrac
}%
-\def\XINT@numer #1%
+\def\XINT_numer #1%
{%
- \ifcase\XINT@Sgn {#1}
- \expandafter\XINT@numer@B
+ \ifcase\XINT_Sgn {#1}
+ \expandafter\XINT_numer_B
\or
- \expandafter\XINT@numer@A
+ \expandafter\XINT_numer_A
\else
- \expandafter\XINT@numer@B
+ \expandafter\XINT_numer_B
\fi
{#1}%
}%
-\def\XINT@numer@A #1#2#3{\xint@dsh {#2}{-#1}}%
-\def\XINT@numer@B #1#2#3{ #2}%
+\def\XINT_numer_A #1#2#3{\xint_dsh {#2}{-#1}}%
+\def\XINT_numer_B #1#2#3{ #2}%
\def\xintDenominator {\romannumeral0\xintdenominator }%
\def\xintdenominator
{%
- \expandafter\XINT@denom\romannumeral0\XINT@infrac
+ \expandafter\XINT_denom\romannumeral0\XINT_infrac
}%
-\def\XINT@denom #1%
+\def\XINT_denom #1%
{%
- \ifcase\XINT@Sgn {#1}
- \expandafter\XINT@denom@B
+ \ifcase\XINT_Sgn {#1}
+ \expandafter\XINT_denom_B
\or
- \expandafter\XINT@denom@A
+ \expandafter\XINT_denom_A
\else
- \expandafter\XINT@denom@B
+ \expandafter\XINT_denom_B
\fi
{#1}%
}%
-\def\XINT@denom@A #1#2#3{ #3}%
-\def\XINT@denom@B #1#2#3{\xint@dsh {#3}{#1}}%
+\def\XINT_denom_A #1#2#3{ #3}%
+\def\XINT_denom_B #1#2#3{\xint_dsh {#3}{#1}}%
\def\xintFrac {\romannumeral0\xintfrac }%
\def\xintfrac #1%
{%
- \expandafter\XINT@@frac@A\romannumeral0\XINT@infrac {#1}%
+ \expandafter\XINT__frac_A\romannumeral0\XINT_infrac {#1}%
}%
-\def\XINT@@frac@A #1{\XINT@@frac@B #1\Z }%
-\def\XINT@@frac@B #1#2\Z
+\def\XINT__frac_A #1{\XINT__frac_B #1\Z }%
+\def\XINT__frac_B #1#2\Z
{%
- \xint@zero #1\XINT@@frac@C 0\XINT@@frac@D {10^{#1#2}}%
+ \xint_gob_til_zero #1\XINT__frac_C 0\XINT__frac_D {10^{#1#2}}%
}%
-\def\XINT@@frac@C #1#2#3#4#5%
+\def\XINT__frac_C #1#2#3#4#5%
{%
- \ifcase\XINT@isOne {#5}
- \or \xint@afterfi {\expandafter\xint@firstoftwo@andstop\xint@gobble@ii }%
+ \ifcase\XINT_isOne {#5}
+ \or \xint_afterfi {\expandafter\xint_firstoftwo_andstop\xint_gobble_ii }%
\fi
\space
\frac {#4}{#5}%
}%
-\def\XINT@@frac@D #1#2#3%
+\def\XINT__frac_D #1#2#3%
{%
- \ifcase\XINT@isOne {#3}
- \or \XINT@@frac@E
+ \ifcase\XINT_isOne {#3}
+ \or \XINT__frac_E
\fi
\space
\frac {#2}{#3}#1%
}%
-\def\XINT@@frac@E \fi #1#2#3#4{\fi \space #3\cdot }%
+\def\XINT__frac_E \fi #1#2#3#4{\fi \space #3\cdot }%
\def\xintSignedFrac {\romannumeral0\xintsignedfrac }%
\def\xintsignedfrac #1%
{%
- \expandafter\XINT@sgnfrac@a\romannumeral0\XINT@infrac {#1}%
+ \expandafter\XINT_sgnfrac_a\romannumeral0\XINT_infrac {#1}%
}%
-\def\XINT@sgnfrac@a #1#2%
+\def\XINT_sgnfrac_a #1#2%
{%
- \XINT@sgnfrac@b #2\Z {#1}%
+ \XINT_sgnfrac_b #2\Z {#1}%
}%
-\def\XINT@sgnfrac@b #1%
+\def\XINT_sgnfrac_b #1%
{%
- \xint@UDsignfork
- #1\dummy \XINT@sgnfrac@N
- -\dummy {\XINT@sgnfrac@P #1}%
- \xint@UDkrof
+ \xint_UDsignfork
+ #1\dummy \XINT_sgnfrac_N
+ -\dummy {\XINT_sgnfrac_P #1}%
+ \krof
}%
-\def\XINT@sgnfrac@P #1\Z #2%
+\def\XINT_sgnfrac_P #1\Z #2%
{%
- \XINT@@frac@A {#2}{#1}%
+ \XINT__frac_A {#2}{#1}%
}%
-\def\XINT@sgnfrac@N
+\def\XINT_sgnfrac_N
{%
- \expandafter\xint@minus@andstop\romannumeral0\XINT@sgnfrac@P
+ \expandafter\xint_minus_andstop\romannumeral0\XINT_sgnfrac_P
}%
\def\xintFwOver {\romannumeral0\xintfwover }%
\def\xintfwover #1%
{%
- \expandafter\XINT@fwover@A\romannumeral0\XINT@infrac {#1}%
+ \expandafter\XINT_fwover_A\romannumeral0\XINT_infrac {#1}%
}%
-\def\XINT@fwover@A #1{\XINT@fwover@B #1\Z }%
-\def\XINT@fwover@B #1#2\Z
+\def\XINT_fwover_A #1{\XINT_fwover_B #1\Z }%
+\def\XINT_fwover_B #1#2\Z
{%
- \xint@zero #1\XINT@fwover@C 0\XINT@fwover@D {10^{#1#2}}%
+ \xint_gob_til_zero #1\XINT_fwover_C 0\XINT_fwover_D {10^{#1#2}}%
}%
-\def\XINT@fwover@C #1#2#3#4#5%
+\def\XINT_fwover_C #1#2#3#4#5%
{%
- \ifcase\XINT@isOne {#5}
- \xint@afterfi { {#4\over #5}}%
+ \ifcase\XINT_isOne {#5}
+ \xint_afterfi { {#4\over #5}}%
\or
- \xint@afterfi { #4}%
+ \xint_afterfi { #4}%
\fi
}%
-\def\XINT@fwover@D #1#2#3%
+\def\XINT_fwover_D #1#2#3%
{%
- \ifcase\XINT@isOne {#3}
- \xint@afterfi { {#2\over #3}}%
+ \ifcase\XINT_isOne {#3}
+ \xint_afterfi { {#2\over #3}}%
\or
- \xint@afterfi { #2\cdot }%
+ \xint_afterfi { #2\cdot }%
\fi
#1%
}%
\def\xintSignedFwOver {\romannumeral0\xintsignedfwover }%
\def\xintsignedfwover #1%
{%
- \expandafter\XINT@sgnfwover@a\romannumeral0\XINT@infrac {#1}%
+ \expandafter\XINT_sgnfwover_a\romannumeral0\XINT_infrac {#1}%
}%
-\def\XINT@sgnfwover@a #1#2%
+\def\XINT_sgnfwover_a #1#2%
{%
- \XINT@sgnfwover@b #2\Z {#1}%
+ \XINT_sgnfwover_b #2\Z {#1}%
}%
-\def\XINT@sgnfwover@b #1%
+\def\XINT_sgnfwover_b #1%
{%
- \xint@UDsignfork
- #1\dummy \XINT@sgnfwover@N
- -\dummy {\XINT@sgnfwover@P #1}%
- \xint@UDkrof
+ \xint_UDsignfork
+ #1\dummy \XINT_sgnfwover_N
+ -\dummy {\XINT_sgnfwover_P #1}%
+ \krof
}%
-\def\XINT@sgnfwover@P #1\Z #2%
+\def\XINT_sgnfwover_P #1\Z #2%
{%
- \XINT@fwover@A {#2}{#1}%
+ \XINT_fwover_A {#2}{#1}%
}%
-\def\XINT@sgnfwover@N
+\def\XINT_sgnfwover_N
{%
- \expandafter\xint@minus@andstop\romannumeral0\XINT@sgnfwover@P
+ \expandafter\xint_minus_andstop\romannumeral0\XINT_sgnfwover_P
}%
\def\xintREZ {\romannumeral0\xintrez }%
\def\xintrez
{%
- \expandafter\XINT@rez@A\romannumeral0\XINT@infrac
+ \expandafter\XINT_rez_A\romannumeral0\XINT_infrac
}%
-\def\XINT@rez@A #1#2%
+\def\XINT_rez_A #1#2%
{%
- \XINT@rez@AB #2\Z {#1}%
+ \XINT_rez_AB #2\Z {#1}%
}%
-\def\XINT@rez@AB #1%
+\def\XINT_rez_AB #1%
{%
- \xint@UDzerominusfork
- #1-\dummy \XINT@rez@zero
- 0#1\dummy \XINT@rez@neg
- 0-\dummy {\XINT@rez@B #1}%
- \xint@UDkrof
+ \xint_UDzerominusfork
+ #1-\dummy \XINT_rez_zero
+ 0#1\dummy \XINT_rez_neg
+ 0-\dummy {\XINT_rez_B #1}%
+ \krof
}%
-\def\XINT@rez@zero #1\Z #2#3{ 0/1[0]}%
-\def\XINT@rez@neg {\expandafter\xint@minus@andstop\romannumeral0\XINT@rez@B }%
-\def\XINT@rez@B #1\Z
+\def\XINT_rez_zero #1\Z #2#3{ 0/1[0]}%
+\def\XINT_rez_neg {\expandafter\xint_minus_andstop\romannumeral0\XINT_rez_B }%
+\def\XINT_rez_B #1\Z
{%
- \expandafter\XINT@rez@C\romannumeral0\XINT@factortens {#1}%
+ \expandafter\XINT_rez_C\romannumeral0\XINT_factortens {#1}%
}%
-\def\XINT@rez@C #1#2#3#4%
+\def\XINT_rez_C #1#2#3#4%
{%
- \expandafter\XINT@rez@D\romannumeral0\XINT@factortens {#4}{#3}{#2}{#1}%
+ \expandafter\XINT_rez_D\romannumeral0\XINT_factortens {#4}{#3}{#2}{#1}%
}%
-\def\XINT@rez@D #1#2#3#4#5%
+\def\XINT_rez_D #1#2#3#4#5%
{%
- \expandafter\XINT@rez@E\expandafter
+ \expandafter\XINT_rez_E\expandafter
{\the\numexpr #3+#4-#2}{#1}{#5}%
}%
-\def\XINT@rez@E #1#2#3{ #3/#2[#1]}%
+\def\XINT_rez_E #1#2#3{ #3/#2[#1]}%
\def\xintIrr {\romannumeral0\xintirr }%
\def\xintirr #1%
{%
- \expandafter\XINT@irr@start\romannumeral0\xintraw {#1}\Z
+ \expandafter\XINT_irr_start\romannumeral0\xintraw {#1}\Z
}%
-\def\XINT@irr@start #1#2/#3\Z
+\def\XINT_irr_start #1#2/#3\Z
{%
- \ifcase\XINT@isOne {#3}
- \xint@afterfi
- {\xint@UDsignfork
- #1\dummy \XINT@irr@negative
- -\dummy {\XINT@irr@nonneg #1}%
- \xint@UDkrof}%
+ \ifcase\XINT_isOne {#3}
+ \xint_afterfi
+ {\xint_UDsignfork
+ #1\dummy \XINT_irr_negative
+ -\dummy {\XINT_irr_nonneg #1}%
+ \krof}%
\or
- \xint@afterfi{\XINT@irr@denomisone #1}%
+ \xint_afterfi{\XINT_irr_denomisone #1}%
\fi
#2\Z {#3}%
}%
-\def\XINT@irr@denomisone #1\Z #2{ #1}%
-\def\XINT@irr@negative #1\Z #2{\XINT@irr@D #1\Z #2\Z \xint@minus@andstop}%
-\def\XINT@irr@nonneg #1\Z #2{\XINT@irr@D #1\Z #2\Z \space}%
-\def\XINT@irr@D #1#2\Z #3#4\Z
-{%
- \xint@UDzerosfork
- #3#1\dummy \XINT@irr@indeterminate
- #30\dummy \XINT@irr@divisionbyzero
- #10\dummy \XINT@irr@zero
- 00\dummy \XINT@irr@loop@a
- \xint@UDkrof
+\def\XINT_irr_denomisone #1\Z #2{ #1}%
+\def\XINT_irr_negative #1\Z #2{\XINT_irr_D #1\Z #2\Z \xint_minus_andstop}%
+\def\XINT_irr_nonneg #1\Z #2{\XINT_irr_D #1\Z #2\Z \space}%
+\def\XINT_irr_D #1#2\Z #3#4\Z
+{%
+ \xint_UDzerosfork
+ #3#1\dummy \XINT_irr_indeterminate
+ #30\dummy \XINT_irr_divisionbyzero
+ #10\dummy \XINT_irr_zero
+ 00\dummy \XINT_irr_loop_a
+ \krof
{#3#4}{#1#2}{#3#4}{#1#2}%
}%
-\def\XINT@irr@indeterminate #1#2#3#4#5{\xintError:NaN\space 0/0}%
-\def\XINT@irr@divisionbyzero #1#2#3#4#5{\xintError:DivisionByZero #5#2/0}%
-\def\XINT@irr@zero #1#2#3#4#5{ 0}%
-\def\XINT@irr@loop@a #1#2%
+\def\XINT_irr_indeterminate #1#2#3#4#5{\xintError:NaN\space 0/0}%
+\def\XINT_irr_divisionbyzero #1#2#3#4#5{\xintError:DivisionByZero #5#2/0}%
+\def\XINT_irr_zero #1#2#3#4#5{ 0}%
+\def\XINT_irr_loop_a #1#2%
{%
- \expandafter\XINT@irr@loop@d
- \romannumeral0\XINT@div@prepare {#1}{#2}{#1}%
+ \expandafter\XINT_irr_loop_d
+ \romannumeral0\XINT_div_prepare {#1}{#2}{#1}%
}%
-\def\XINT@irr@loop@d #1#2%
+\def\XINT_irr_loop_d #1#2%
{%
- \XINT@irr@loop@e #2\Z
+ \XINT_irr_loop_e #2\Z
}%
-\def\XINT@irr@loop@e #1#2\Z
+\def\XINT_irr_loop_e #1#2\Z
{%
- \xint@zero #1\xint@irr@loop@exit0\XINT@irr@loop@a {#1#2}%
+ \xint_gob_til_zero #1\xint_irr_loop_exit0\XINT_irr_loop_a {#1#2}%
}%
-\def\xint@irr@loop@exit0\XINT@irr@loop@a #1#2#3#4%
+\def\xint_irr_loop_exit0\XINT_irr_loop_a #1#2#3#4%
{%
- \expandafter\XINT@irr@loop@exitb\expandafter
+ \expandafter\XINT_irr_loop_exitb\expandafter
{\romannumeral0\xintiquo {#3}{#2}}%
{\romannumeral0\xintiquo {#4}{#2}}%
}%
-\def\XINT@irr@loop@exitb #1#2%
+\def\XINT_irr_loop_exitb #1#2%
{%
- \expandafter\XINT@irr@finish\expandafter {#2}{#1}%
+ \expandafter\XINT_irr_finish\expandafter {#2}{#1}%
}%
-\def\XINT@irr@finish #1#2#3%
+\def\XINT_irr_finish #1#2#3%
{%
- \ifcase\XINT@isOne {#2}
- \xint@afterfi {#3#1/#2}%
+ \ifcase\XINT_isOne {#2}
+ \xint_afterfi {#3#1/#2}%
\or
- \xint@afterfi {#3#1}%
+ \xint_afterfi {#3#1}%
\fi
}%
\def\xintNum {\romannumeral0\xintnum }%
-\def\xintnum #1{\expandafter\XINT@intcheck\romannumeral0\xintirr {#1}/\W\Z }%
-\def\XINT@intcheck #1/#2#3\Z
+\def\xintnum #1{\expandafter\XINT_intcheck\romannumeral0\xintirr {#1}/\W\Z }%
+\def\XINT_intcheck #1/#2#3\Z
{%
- \xint@w #2\xint@gobble@ii\W\xintError:NotAnInteger
+ \xint_gob_til_w #2\xint_gobble_ii\W
+ \xintError:NotAnInteger
\space #1%
}%
\def\xintJrr {\romannumeral0\xintjrr }%
\def\xintjrr #1%
{%
- \expandafter\XINT@jrr@start\romannumeral0\xintraw {#1}\Z
+ \expandafter\XINT_jrr_start\romannumeral0\xintraw {#1}\Z
}%
-\def\XINT@jrr@start #1#2/#3\Z
+\def\XINT_jrr_start #1#2/#3\Z
{%
- \ifcase\XINT@isOne {#3}
- \xint@afterfi
- {\xint@UDsignfork
- #1\dummy \XINT@jrr@negative
- -\dummy {\XINT@jrr@nonneg #1}%
- \xint@UDkrof}%
+ \ifcase\XINT_isOne {#3}
+ \xint_afterfi
+ {\xint_UDsignfork
+ #1\dummy \XINT_jrr_negative
+ -\dummy {\XINT_jrr_nonneg #1}%
+ \krof}%
\or
- \xint@afterfi{\XINT@jrr@denomisone #1}%
+ \xint_afterfi{\XINT_jrr_denomisone #1}%
\fi
#2\Z {#3}%
}%
-\def\XINT@jrr@denomisone #1\Z #2{ #1}%
-\def\XINT@jrr@negative #1\Z #2{\XINT@jrr@D #1\Z #2\Z \xint@minus@andstop }%
-\def\XINT@jrr@nonneg #1\Z #2{\XINT@jrr@D #1\Z #2\Z \space}%
-\def\XINT@jrr@D #1#2\Z #3#4\Z
-{%
- \xint@UDzerosfork
- #3#1\dummy \XINT@jrr@indeterminate
- #30\dummy \XINT@jrr@divisionbyzero
- #10\dummy \XINT@jrr@zero
- 00\dummy \XINT@jrr@loop@a
- \xint@UDkrof
+\def\XINT_jrr_denomisone #1\Z #2{ #1}%
+\def\XINT_jrr_negative #1\Z #2{\XINT_jrr_D #1\Z #2\Z \xint_minus_andstop }%
+\def\XINT_jrr_nonneg #1\Z #2{\XINT_jrr_D #1\Z #2\Z \space}%
+\def\XINT_jrr_D #1#2\Z #3#4\Z
+{%
+ \xint_UDzerosfork
+ #3#1\dummy \XINT_jrr_indeterminate
+ #30\dummy \XINT_jrr_divisionbyzero
+ #10\dummy \XINT_jrr_zero
+ 00\dummy \XINT_jrr_loop_a
+ \krof
{#3#4}{#1#2}1001%
}%
-\def\XINT@jrr@indeterminate #1#2#3#4#5#6#7{\xintError:NaN\space 0/0}%
-\def\XINT@jrr@divisionbyzero #1#2#3#4#5#6#7{\xintError:DivisionByZero #7#2/0}%
-\def\XINT@jrr@zero #1#2#3#4#5#6#7{ 0}%
-\def\XINT@jrr@loop@a #1#2%
+\def\XINT_jrr_indeterminate #1#2#3#4#5#6#7{\xintError:NaN\space 0/0}%
+\def\XINT_jrr_divisionbyzero #1#2#3#4#5#6#7{\xintError:DivisionByZero #7#2/0}%
+\def\XINT_jrr_zero #1#2#3#4#5#6#7{ 0}%
+\def\XINT_jrr_loop_a #1#2%
{%
- \expandafter\XINT@jrr@loop@b
- \romannumeral0\XINT@div@prepare {#1}{#2}{#1}%
+ \expandafter\XINT_jrr_loop_b
+ \romannumeral0\XINT_div_prepare {#1}{#2}{#1}%
}%
-\def\XINT@jrr@loop@b #1#2#3#4#5#6#7%
+\def\XINT_jrr_loop_b #1#2#3#4#5#6#7%
{%
- \expandafter \XINT@jrr@loop@c \expandafter
- {\romannumeral0\xintiadd{\XINT@Mul{#4}{#1}}{#6}}%
- {\romannumeral0\xintiadd{\XINT@Mul{#5}{#1}}{#7}}%
+ \expandafter \XINT_jrr_loop_c \expandafter
+ {\romannumeral0\xintiadd{\XINT_Mul{#4}{#1}}{#6}}%
+ {\romannumeral0\xintiadd{\XINT_Mul{#5}{#1}}{#7}}%
{#2}{#3}{#4}{#5}%
}%
-\def\XINT@jrr@loop@c #1#2%
+\def\XINT_jrr_loop_c #1#2%
{%
- \expandafter \XINT@jrr@loop@d \expandafter{#2}{#1}%
+ \expandafter \XINT_jrr_loop_d \expandafter{#2}{#1}%
}%
-\def\XINT@jrr@loop@d #1#2#3#4%
+\def\XINT_jrr_loop_d #1#2#3#4%
{%
- \XINT@jrr@loop@e #3\Z {#4}{#2}{#1}%
+ \XINT_jrr_loop_e #3\Z {#4}{#2}{#1}%
}%
-\def\XINT@jrr@loop@e #1#2\Z
+\def\XINT_jrr_loop_e #1#2\Z
{%
- \xint@zero #1\xint@jrr@loop@exit0\XINT@jrr@loop@a {#1#2}%
+ \xint_gob_til_zero #1\xint_jrr_loop_exit0\XINT_jrr_loop_a {#1#2}%
}%
-\def\xint@jrr@loop@exit0\XINT@jrr@loop@a #1#2#3#4#5#6%
+\def\xint_jrr_loop_exit0\XINT_jrr_loop_a #1#2#3#4#5#6%
{%
- \XINT@irr@finish {#3}{#4}%
+ \XINT_irr_finish {#3}{#4}%
}%
\def\xintTrunc {\romannumeral0\xinttrunc }%
\def\xintiTrunc {\romannumeral0\xintitrunc }%
\def\xinttrunc #1%
{%
- \expandafter\XINT@trunc\expandafter {\the\numexpr #1}%
+ \expandafter\XINT_trunc\expandafter {\the\numexpr #1}%
}%
-\def\XINT@trunc #1#2%
+\def\XINT_trunc #1#2%
{%
- \expandafter\XINT@trunc@G
- \romannumeral0\expandafter\XINT@trunc@A
- \romannumeral0\XINT@infrac {#2}{#1}{#1}%
+ \expandafter\XINT_trunc_G
+ \romannumeral0\expandafter\XINT_trunc_A
+ \romannumeral0\XINT_infrac {#2}{#1}{#1}%
}%
\def\xintitrunc #1%
{%
- \expandafter\XINT@itrunc\expandafter {\the\numexpr #1}%
+ \expandafter\XINT_itrunc\expandafter {\the\numexpr #1}%
}%
-\def\XINT@itrunc #1#2%
+\def\XINT_itrunc #1#2%
{%
- \expandafter\XINT@itrunc@G
- \romannumeral0\expandafter\XINT@trunc@A
- \romannumeral0\XINT@infrac {#2}{#1}{#1}%
+ \expandafter\XINT_itrunc_G
+ \romannumeral0\expandafter\XINT_trunc_A
+ \romannumeral0\XINT_infrac {#2}{#1}{#1}%
}%
-\def\XINT@trunc@A #1#2#3#4%
+\def\XINT_trunc_A #1#2#3#4%
{%
- \expandafter\XINT@trunc@checkifzero
+ \expandafter\XINT_trunc_checkifzero
\expandafter{\the\numexpr #1+#4}#2\Z {#3}%
}%
-\def\XINT@trunc@checkifzero #1#2#3\Z
+\def\XINT_trunc_checkifzero #1#2#3\Z
{%
- \xint@zero #2\XINT@trunc@iszero0\XINT@trunc@B {#1}{#2#3}%
+ \xint_gob_til_zero #2\XINT_trunc_iszero0\XINT_trunc_B {#1}{#2#3}%
}%
-\def\XINT@trunc@iszero #1#2#3#4#5{ 0\Z 0}%
-\def\XINT@trunc@B #1%
+\def\XINT_trunc_iszero #1#2#3#4#5{ 0\Z 0}%
+\def\XINT_trunc_B #1%
{%
- \ifcase\XINT@Sgn {#1}
- \expandafter\XINT@trunc@D
+ \ifcase\XINT_Sgn {#1}
+ \expandafter\XINT_trunc_D
\or
- \expandafter\XINT@trunc@D
+ \expandafter\XINT_trunc_D
\else
- \expandafter\XINT@trunc@C
+ \expandafter\XINT_trunc_C
\fi
{#1}%
}%
-\def\XINT@trunc@C #1#2#3%
+\def\XINT_trunc_C #1#2#3%
{%
- \expandafter \XINT@trunc@E
- \romannumeral0\xint@dsh {#3}{#1}\Z #2\Z
+ \expandafter \XINT_trunc_E
+ \romannumeral0\xint_dsh {#3}{#1}\Z #2\Z
}%
-\def\XINT@trunc@D #1#2%
+\def\XINT_trunc_D #1#2%
{%
- \expandafter \XINT@trunc@DE \expandafter
- {\romannumeral0\xint@dsh {#2}{-#1}}%
+ \expandafter \XINT_trunc_DE \expandafter
+ {\romannumeral0\xint_dsh {#2}{-#1}}%
}%
-\def\XINT@trunc@DE #1#2{\XINT@trunc@E #2\Z #1\Z }%
-\def\XINT@trunc@E #1#2\Z #3#4\Z
+\def\XINT_trunc_DE #1#2{\XINT_trunc_E #2\Z #1\Z }%
+\def\XINT_trunc_E #1#2\Z #3#4\Z
{%
- \xint@UDsignsfork
- #1#3\dummy \XINT@trunc@minusminus
- #1-\dummy {\XINT@trunc@minusplus #3}%
- #3-\dummy {\XINT@trunc@plusminus #1}%
- --\dummy {\XINT@trunc@plusplus #3#1}%
- \xint@UDkrof
+ \xint_UDsignsfork
+ #1#3\dummy \XINT_trunc_minusminus
+ #1-\dummy {\XINT_trunc_minusplus #3}%
+ #3-\dummy {\XINT_trunc_plusminus #1}%
+ --\dummy {\XINT_trunc_plusplus #3#1}%
+ \krof
{#4}{#2}%
}%
-\def\XINT@trunc@minusminus #1#2{\xintiquo {#1}{#2}\Z \space}%
-\def\XINT@trunc@minusplus #1#2#3{\xintiquo {#1#2}{#3}\Z \xint@minus@andstop}%
-\def\XINT@trunc@plusminus #1#2#3{\xintiquo {#2}{#1#3}\Z \xint@minus@andstop}%
-\def\XINT@trunc@plusplus #1#2#3#4{\xintiquo {#1#3}{#2#4}\Z \space}%
-\def\XINT@itrunc@G #1#2\Z #3#4%
+\def\XINT_trunc_minusminus #1#2{\xintiquo {#1}{#2}\Z \space}%
+\def\XINT_trunc_minusplus #1#2#3{\xintiquo {#1#2}{#3}\Z \xint_minus_andstop}%
+\def\XINT_trunc_plusminus #1#2#3{\xintiquo {#2}{#1#3}\Z \xint_minus_andstop}%
+\def\XINT_trunc_plusplus #1#2#3#4{\xintiquo {#1#3}{#2#4}\Z \space}%
+\def\XINT_itrunc_G #1#2\Z #3#4%
{%
- \xint@zero #1\XINT@trunc@zero 0\xint@firstoftwo {#3#1#2}0%
+ \xint_gob_til_zero #1\XINT_trunc_zero 0\xint_firstoftwo {#3#1#2}0%
}%
-\def\XINT@trunc@G #1\Z #2#3%
+\def\XINT_trunc_G #1\Z #2#3%
{%
- \xint@zero #2\XINT@trunc@zero 0%
- \expandafter\XINT@trunc@H\expandafter
- {\the\numexpr\romannumeral0\XINT@length {#1}-#3}{#3}{#1}#2%
+ \xint_gob_til_zero #2\XINT_trunc_zero 0%
+ \expandafter\XINT_trunc_H\expandafter
+ {\the\numexpr\romannumeral0\XINT_length {#1}-#3}{#3}{#1}#2%
}%
-\def\XINT@trunc@zero 0#10{ 0}%
-\def\XINT@trunc@H #1#2%
+\def\XINT_trunc_zero 0#10{ 0}%
+\def\XINT_trunc_H #1#2%
{%
\ifnum #1 > 0
- \xint@afterfi {\XINT@trunc@Ha {#2}}%
+ \xint_afterfi {\XINT_trunc_Ha {#2}}%
\else
- \xint@afterfi {\XINT@trunc@Hb {-#1}}% -0,--1,--2, ....
+ \xint_afterfi {\XINT_trunc_Hb {-#1}}% -0,--1,--2, ....
\fi
}%
-\def\XINT@trunc@Ha
+\def\XINT_trunc_Ha
{%
- \expandafter\XINT@trunc@Haa\romannumeral0\xintdecsplit
+ \expandafter\XINT_trunc_Haa\romannumeral0\xintdecsplit
}%
-\def\XINT@trunc@Haa #1#2#3%
+\def\XINT_trunc_Haa #1#2#3%
{%
#3#1.#2%
}%
-\def\XINT@trunc@Hb #1#2#3%
+\def\XINT_trunc_Hb #1#2#3%
{%
\expandafter #3\expandafter0\expandafter.%
- \romannumeral0\XINT@dsx@zeroloop {#1}\Z {}#2% #1=-0 possible!
+ \romannumeral0\XINT_dsx_zeroloop {#1}\Z {}#2% #1=-0 possible!
}%
\def\xintRound {\romannumeral0\xintround }%
\def\xintiRound {\romannumeral0\xintiround }%
\def\xintround #1%
{%
- \expandafter\XINT@round\expandafter {\the\numexpr #1}%
+ \expandafter\XINT_round\expandafter {\the\numexpr #1}%
}%
-\def\XINT@round
+\def\XINT_round
{%
- \expandafter\XINT@trunc@G\romannumeral0\XINT@round@A
+ \expandafter\XINT_trunc_G\romannumeral0\XINT_round_A
}%
\def\xintiround #1%
{%
- \expandafter\XINT@iround\expandafter {\the\numexpr #1}%
+ \expandafter\XINT_iround\expandafter {\the\numexpr #1}%
}%
-\def\XINT@iround
+\def\XINT_iround
{%
- \expandafter\XINT@itrunc@G\romannumeral0\XINT@round@A
+ \expandafter\XINT_itrunc_G\romannumeral0\XINT_round_A
}%
-\def\XINT@round@A #1#2%
+\def\XINT_round_A #1#2%
{%
- \expandafter\XINT@round@B
- \romannumeral0\expandafter\XINT@trunc@A
- \romannumeral0\XINT@infrac {#2}{\the\numexpr #1+1\relax}{#1}%
+ \expandafter\XINT_round_B
+ \romannumeral0\expandafter\XINT_trunc_A
+ \romannumeral0\XINT_infrac {#2}{\the\numexpr #1+1\relax}{#1}%
}%
-\def\XINT@round@B #1\Z
+\def\XINT_round_B #1\Z
{%
- \expandafter\XINT@round@C
- \romannumeral0\XINT@rord@main {}#1%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \expandafter\XINT_round_C
+ \romannumeral0\XINT_rord_main {}#1%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
\Z
}%
-\def\XINT@round@C #1%
+\def\XINT_round_C #1%
{%
\ifnum #1<5
- \expandafter\XINT@round@Daa
+ \expandafter\XINT_round_Daa
\else
- \expandafter\XINT@round@Dba
+ \expandafter\XINT_round_Dba
\fi
}%
-\def\XINT@round@Daa #1%
+\def\XINT_round_Daa #1%
{%
- \xint@z #1\XINT@round@Daz\Z \XINT@round@Da #1%
+ \xint_gob_til_z #1\XINT_round_Daz\Z \XINT_round_Da #1%
}%
-\def\XINT@round@Daz\Z \XINT@round@Da \Z { 0\Z }%
-\def\XINT@round@Da #1\Z
+\def\XINT_round_Daz\Z \XINT_round_Da \Z { 0\Z }%
+\def\XINT_round_Da #1\Z
{%
- \XINT@rord@main {}#1%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF \Z
+ \XINT_rord_main {}#1%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax \Z
}%
-\def\XINT@round@Dba #1%
+\def\XINT_round_Dba #1%
{%
- \xint@z #1\XINT@round@Dbz\Z \XINT@round@Db #1%
+ \xint_gob_til_z #1\XINT_round_Dbz\Z \XINT_round_Db #1%
}%
-\def\XINT@round@Dbz\Z \XINT@round@Db \Z { 1\Z }%
-\def\XINT@round@Db #1\Z
+\def\XINT_round_Dbz\Z \XINT_round_Db \Z { 1\Z }%
+\def\XINT_round_Db #1\Z
{%
- \XINT@addm@A 0{}1000\W\X\Y\Z #1000\W\X\Y\Z \Z
+ \XINT_addm_A 0{}1000\W\X\Y\Z #1000\W\X\Y\Z \Z
}%
\def\xintAdd {\romannumeral0\xintadd }%
\def\xintadd #1%
{%
- \expandafter\xint@fadd\expandafter {\romannumeral0\XINT@infrac {#1}}%
+ \expandafter\xint_fadd\expandafter {\romannumeral0\XINT_infrac {#1}}%
}%
-\def\xint@fadd #1#2{\expandafter\XINT@fadd@A\romannumeral0\XINT@infrac{#2}#1}%
-\def\XINT@fadd@A #1#2#3#4%
+\def\xint_fadd #1#2{\expandafter\XINT_fadd_A\romannumeral0\XINT_infrac{#2}#1}%
+\def\XINT_fadd_A #1#2#3#4%
{%
\ifnum #4 > #1
- \xint@afterfi {\XINT@fadd@B {#1}}%
+ \xint_afterfi {\XINT_fadd_B {#1}}%
\else
- \xint@afterfi {\XINT@fadd@B {#4}}%
+ \xint_afterfi {\XINT_fadd_B {#4}}%
\fi
{#1}{#4}{#2}{#3}%
}%
-\def\XINT@fadd@B #1#2#3#4#5#6#7%
+\def\XINT_fadd_B #1#2#3#4#5#6#7%
{%
- \expandafter\XINT@fadd@C\expandafter
+ \expandafter\XINT_fadd_C\expandafter
{\romannumeral0\xintimul {#7}{#5}}%
{\romannumeral0\xintiadd
{\romannumeral0\xintimul {\xintDSH {\the\numexpr -#3+#1\relax}{#6}}{#5}}%
@@ -911,30 +917,30 @@
}%
{#1}%
}%
-\def\XINT@fadd@C #1#2#3%
+\def\XINT_fadd_C #1#2#3%
{%
- \expandafter\XINT@fadd@D\expandafter {#2}{#3}{#1}%
+ \expandafter\XINT_fadd_D\expandafter {#2}{#3}{#1}%
}%
-\def\XINT@fadd@D #1#2{\XINT@outfrac {#2}{#1}}%
+\def\XINT_fadd_D #1#2{\XINT_outfrac {#2}{#1}}%
\def\xintSub {\romannumeral0\xintsub }%
\def\xintsub #1%
{%
- \expandafter\xint@fsub\expandafter {\romannumeral0\XINT@infrac {#1}}%
+ \expandafter\xint_fsub\expandafter {\romannumeral0\XINT_infrac {#1}}%
}%
-\def\xint@fsub #1#2%
- {\expandafter\XINT@fsub@A\romannumeral0\XINT@infrac {#2}#1}%
-\def\XINT@fsub@A #1#2#3#4%
+\def\xint_fsub #1#2%
+ {\expandafter\XINT_fsub_A\romannumeral0\XINT_infrac {#2}#1}%
+\def\XINT_fsub_A #1#2#3#4%
{%
\ifnum #4 > #1
- \xint@afterfi {\XINT@fsub@B {#1}}%
+ \xint_afterfi {\XINT_fsub_B {#1}}%
\else
- \xint@afterfi {\XINT@fsub@B {#4}}%
+ \xint_afterfi {\XINT_fsub_B {#4}}%
\fi
{#1}{#4}{#2}{#3}%
}%
-\def\XINT@fsub@B #1#2#3#4#5#6#7%
+\def\XINT_fsub_B #1#2#3#4#5#6#7%
{%
- \expandafter\XINT@fsub@C\expandafter
+ \expandafter\XINT_fsub_C\expandafter
{\romannumeral0\xintimul {#7}{#5}}%
{\romannumeral0\xintisub
{\romannumeral0\xintimul {\xintDSH {\the\numexpr -#3+#1\relax}{#6}}{#5}}%
@@ -942,151 +948,151 @@
}%
{#1}%
}%
-\def\XINT@fsub@C #1#2#3%
+\def\XINT_fsub_C #1#2#3%
{%
- \expandafter\XINT@fsub@D\expandafter {#2}{#3}{#1}%
+ \expandafter\XINT_fsub_D\expandafter {#2}{#3}{#1}%
}%
-\def\XINT@fsub@D #1#2{\XINT@outfrac {#2}{#1}}%
+\def\XINT_fsub_D #1#2{\XINT_outfrac {#2}{#1}}%
\def\xintSum {\romannumeral0\xintsum }%
\def\xintsum #1{\xintsumexpr #1\relax }%
\def\xintSumExpr {\romannumeral0\xintsumexpr }%
-\def\xintsumexpr {\expandafter\XINT@fsumexpr\romannumeral-`0}%
-\def\XINT@fsumexpr {\XINT@fsum@loop@a {0/1[0]}}%
-\def\XINT@fsum@loop@a #1#2%
+\def\xintsumexpr {\expandafter\XINT_fsumexpr\romannumeral-`0}%
+\def\XINT_fsumexpr {\XINT_fsum_loop_a {0/1[0]}}%
+\def\XINT_fsum_loop_a #1#2%
{%
- \expandafter\XINT@fsum@loop@b \romannumeral-`0#2\Z {#1}%
+ \expandafter\XINT_fsum_loop_b \romannumeral-`0#2\Z {#1}%
}%
-\def\XINT@fsum@loop@b #1%
+\def\XINT_fsum_loop_b #1%
{%
- \xint@relax #1\XINT@fsum@finished\relax
- \XINT@fsum@loop@c #1%
+ \xint_gob_til_relax #1\XINT_fsum_finished\relax
+ \XINT_fsum_loop_c #1%
}%
-\def\XINT@fsum@loop@c #1\Z #2%
+\def\XINT_fsum_loop_c #1\Z #2%
{%
- \expandafter\XINT@fsum@loop@a\expandafter{\romannumeral0\xintadd {#2}{#1}}%
+ \expandafter\XINT_fsum_loop_a\expandafter{\romannumeral0\xintadd {#2}{#1}}%
}%
-\def\XINT@fsum@finished #1\Z #2{ #2}%
+\def\XINT_fsum_finished #1\Z #2{ #2}%
\def\xintMul {\romannumeral0\xintmul }%
\def\xintmul #1%
{%
- \expandafter\xint@fmul\expandafter {\romannumeral0\XINT@infrac {#1}}%
+ \expandafter\xint_fmul\expandafter {\romannumeral0\XINT_infrac {#1}}%
}%
-\def\xint@fmul #1#2%
- {\expandafter\XINT@fmul@A\romannumeral0\XINT@infrac {#2}#1}%
-\def\XINT@fmul@A #1#2#3#4#5#6%
+\def\xint_fmul #1#2%
+ {\expandafter\XINT_fmul_A\romannumeral0\XINT_infrac {#2}#1}%
+\def\XINT_fmul_A #1#2#3#4#5#6%
{%
- \expandafter\XINT@fmul@B
+ \expandafter\XINT_fmul_B
\expandafter{\the\numexpr #1+#4\expandafter}%
\expandafter{\romannumeral0\xintimul {#6}{#3}}%
{\romannumeral0\xintimul {#5}{#2}}%
}%
-\def\XINT@fmul@B #1#2#3%
+\def\XINT_fmul_B #1#2#3%
{%
- \expandafter \XINT@fmul@C \expandafter{#3}{#1}{#2}%
+ \expandafter \XINT_fmul_C \expandafter{#3}{#1}{#2}%
}%
-\def\XINT@fmul@C #1#2{\XINT@outfrac {#2}{#1}}%
+\def\XINT_fmul_C #1#2{\XINT_outfrac {#2}{#1}}%
\def\xintSqr {\romannumeral0\xintsqr }%
\def\xintsqr #1%
{%
- \expandafter\xint@fsqr\expandafter{\romannumeral0\XINT@infrac {#1}}%
+ \expandafter\xint_fsqr\expandafter{\romannumeral0\XINT_infrac {#1}}%
}%
-\def\xint@fsqr #1{\XINT@fmul@A #1#1}%
+\def\xint_fsqr #1{\XINT_fmul_A #1#1}%
\def\xintPow {\romannumeral0\xintpow }%
\def\xintpow #1%
{%
- \expandafter\xint@fpow\expandafter {\romannumeral0\XINT@infrac {#1}}%
+ \expandafter\xint_fpow\expandafter {\romannumeral0\XINT_infrac {#1}}%
}%
-\def\xint@fpow #1#2%
+\def\xint_fpow #1#2%
{%
- \expandafter\XINT@fpow@fork\the\numexpr #2\relax\Z #1%
+ \expandafter\XINT_fpow_fork\the\numexpr #2\relax\Z #1%
}%
-\def\XINT@fpow@fork #1#2\Z
+\def\XINT_fpow_fork #1#2\Z
{%
- \xint@UDzerominusfork
- #1-\dummy \XINT@fpow@zero
- 0#1\dummy \XINT@fpow@neg
- 0-\dummy {\XINT@fpow@pos #1}%
- \xint@UDkrof
+ \xint_UDzerominusfork
+ #1-\dummy \XINT_fpow_zero
+ 0#1\dummy \XINT_fpow_neg
+ 0-\dummy {\XINT_fpow_pos #1}%
+ \krof
{#2}%
}%
-\def\XINT@fpow@zero #1#2#3#4%
+\def\XINT_fpow_zero #1#2#3#4%
{%
\space 1/1[0]%
}%
-\def\XINT@fpow@pos #1#2#3#4#5%
+\def\XINT_fpow_pos #1#2#3#4#5%
{%
- \expandafter\XINT@fpow@pos@A\expandafter
+ \expandafter\XINT_fpow_pos_A\expandafter
{\the\numexpr #1#2*#3\expandafter}\expandafter
{\romannumeral0\xintipow {#5}{#1#2}}%
{\romannumeral0\xintipow {#4}{#1#2}}%
}%
-\def\XINT@fpow@neg #1#2#3#4%
+\def\XINT_fpow_neg #1#2#3#4%
{%
- \expandafter\XINT@fpow@pos@A\expandafter
+ \expandafter\XINT_fpow_pos_A\expandafter
{\the\numexpr -#1*#2\expandafter}\expandafter
{\romannumeral0\xintipow {#3}{#1}}%
{\romannumeral0\xintipow {#4}{#1}}%
}%
-\def\XINT@fpow@pos@A #1#2#3%
+\def\XINT_fpow_pos_A #1#2#3%
{%
- \expandafter\XINT@fpow@pos@B\expandafter {#3}{#1}{#2}%
+ \expandafter\XINT_fpow_pos_B\expandafter {#3}{#1}{#2}%
}%
-\def\XINT@fpow@pos@B #1#2{\XINT@outfrac {#2}{#1}}%
+\def\XINT_fpow_pos_B #1#2{\XINT_outfrac {#2}{#1}}%
\def\xintPrd {\romannumeral0\xintprd }%
\def\xintprd #1{\xintprdexpr #1\relax }%
\def\xintPrdExpr {\romannumeral0\xintprdexpr }%
-\def\xintprdexpr {\expandafter\XINT@fprdexpr \romannumeral-`0}%
-\def\XINT@fprdexpr {\XINT@fprod@loop@a {1/1[0]}}%
-\def\XINT@fprod@loop@a #1#2%
+\def\xintprdexpr {\expandafter\XINT_fprdexpr \romannumeral-`0}%
+\def\XINT_fprdexpr {\XINT_fprod_loop_a {1/1[0]}}%
+\def\XINT_fprod_loop_a #1#2%
{%
- \expandafter\XINT@fprod@loop@b \romannumeral-`0#2\Z {#1}%
+ \expandafter\XINT_fprod_loop_b \romannumeral-`0#2\Z {#1}%
}%
-\def\XINT@fprod@loop@b #1%
+\def\XINT_fprod_loop_b #1%
{%
- \xint@relax #1\XINT@fprod@finished\relax
- \XINT@fprod@loop@c #1%
+ \xint_gob_til_relax #1\XINT_fprod_finished\relax
+ \XINT_fprod_loop_c #1%
}%
-\def\XINT@fprod@loop@c #1\Z #2%
+\def\XINT_fprod_loop_c #1\Z #2%
{%
- \expandafter\XINT@fprod@loop@a\expandafter{\romannumeral0\xintmul {#1}{#2}}%
+ \expandafter\XINT_fprod_loop_a\expandafter{\romannumeral0\xintmul {#1}{#2}}%
}%
-\def\XINT@fprod@finished #1\Z #2{ #2}%
+\def\XINT_fprod_finished #1\Z #2{ #2}%
\def\xintDiv {\romannumeral0\xintdiv }%
\def\xintdiv #1%
{%
- \expandafter\xint@fdiv\expandafter {\romannumeral0\XINT@infrac {#1}}%
+ \expandafter\xint_fdiv\expandafter {\romannumeral0\XINT_infrac {#1}}%
}%
-\def\xint@fdiv #1#2%
- {\expandafter\XINT@fdiv@A\romannumeral0\XINT@infrac {#2}#1}%
-\def\XINT@fdiv@A #1#2#3#4#5#6%
+\def\xint_fdiv #1#2%
+ {\expandafter\XINT_fdiv_A\romannumeral0\XINT_infrac {#2}#1}%
+\def\XINT_fdiv_A #1#2#3#4#5#6%
{%
- \expandafter\XINT@fdiv@B
+ \expandafter\XINT_fdiv_B
\expandafter{\the\numexpr #4-#1\expandafter}%
\expandafter{\romannumeral0\xintimul {#2}{#6}}%
{\romannumeral0\xintimul {#3}{#5}}%
}%
-\def\XINT@fdiv@B #1#2#3%
+\def\XINT_fdiv_B #1#2#3%
{%
- \expandafter\XINT@fdiv@C
+ \expandafter\XINT_fdiv_C
\expandafter{#3}{#1}{#2}%
}%
-\def\XINT@fdiv@C #1#2{\XINT@outfrac {#2}{#1}}%
+\def\XINT_fdiv_C #1#2{\XINT_outfrac {#2}{#1}}%
\def\xintCmp {\romannumeral0\xintcmp }%
\def\xintcmp #1%
{%
- \expandafter\xint@fcmp\expandafter {\romannumeral0\XINT@infrac {#1}}%
+ \expandafter\xint_fcmp\expandafter {\romannumeral0\XINT_infrac {#1}}%
}%
-\def\xint@fcmp #1#2{\expandafter\XINT@fcmp@A\romannumeral0\XINT@infrac {#2}#1}%
-\def\XINT@fcmp@A #1#2#3#4%
+\def\xint_fcmp #1#2{\expandafter\XINT_fcmp_A\romannumeral0\XINT_infrac {#2}#1}%
+\def\XINT_fcmp_A #1#2#3#4%
{%
\ifnum #4 > #1
- \xint@afterfi {\XINT@fcmp@B {#1}}%
+ \xint_afterfi {\XINT_fcmp_B {#1}}%
\else
- \xint@afterfi {\XINT@fcmp@B {#4}}%
+ \xint_afterfi {\XINT_fcmp_B {#4}}%
\fi
{#1}{#4}{#2}{#3}%
}%
-\def\XINT@fcmp@B #1#2#3#4#5#6#7%
+\def\XINT_fcmp_B #1#2#3#4#5#6#7%
{%
\xinticmp
{\romannumeral0\xintimul {\xintDSH {\the\numexpr -#3+#1\relax}{#6}}{#5}}%
@@ -1095,150 +1101,150 @@
\def\xintMax {\romannumeral0\xintmax }%
\def\xintmax #1%
{%
- \expandafter\xint@fmax\expandafter {\romannumeral0\XINT@infrac {#1}}%
+ \expandafter\xint_fmax\expandafter {\romannumeral0\XINT_infrac {#1}}%
}%
-\def\xint@fmax #1#2{\expandafter\XINT@outfrac
- \romannumeral0\expandafter\XINT@fmax@A
- \romannumeral0\XINT@infrac {#2}#1}%
-\def\XINT@fmax@A #1#2#3#4#5#6%
+\def\xint_fmax #1#2{\expandafter\XINT_outfrac
+ \romannumeral0\expandafter\XINT_fmax_A
+ \romannumeral0\XINT_infrac {#2}#1}%
+\def\XINT_fmax_A #1#2#3#4#5#6%
{%
\ifnum #4 > #1
- \xint@afterfi {\XINT@fmax@B {#1}}%
+ \xint_afterfi {\XINT_fmax_B {#1}}%
\else
- \xint@afterfi {\XINT@fmax@B {#4}}%
+ \xint_afterfi {\XINT_fmax_B {#4}}%
\fi
{#1}{#4}{#2}{#3}{#5}{#6}{{#4}{#5}{#6}}{{#1}{#2}{#3}}%
}%
-\def\XINT@fmax@B #1#2#3#4#5#6#7%
+\def\XINT_fmax_B #1#2#3#4#5#6#7%
{%
- \expandafter\XINT@fmax@C\expandafter
+ \expandafter\XINT_fmax_C\expandafter
{\romannumeral0\xintimul {\xintDSH {\the\numexpr -#3+#1\relax}{#6}}{#5}}%
{\romannumeral0\xintimul {#7}{\xintDSH {\the\numexpr -#2+#1\relax}{#4}}}%
}%
-\def\XINT@fmax@C #1#2%
+\def\XINT_fmax_C #1#2%
{%
- \expandafter\XINT@max@fork #2\Z #1\Z
+ \expandafter\XINT_max_fork #2\Z #1\Z
}%
\def\xintMin {\romannumeral0\xintmin }%
\def\xintmin #1%
{%
- \expandafter\xint@fmin\expandafter {\romannumeral0\XINT@infrac {#1}}%
+ \expandafter\xint_fmin\expandafter {\romannumeral0\XINT_infrac {#1}}%
}%
-\def\xint@fmin #1#2%
+\def\xint_fmin #1#2%
{%
- \expandafter\XINT@outfrac
- \romannumeral0\expandafter\XINT@fmin@A
- \romannumeral0\XINT@infrac {#2}#1%
+ \expandafter\XINT_outfrac
+ \romannumeral0\expandafter\XINT_fmin_A
+ \romannumeral0\XINT_infrac {#2}#1%
}%
-\def\XINT@fmin@A #1#2#3#4#5#6%
+\def\XINT_fmin_A #1#2#3#4#5#6%
{%
\ifnum #4 > #1
- \xint@afterfi {\XINT@fmin@B {#1}}%
+ \xint_afterfi {\XINT_fmin_B {#1}}%
\else
- \xint@afterfi {\XINT@fmin@B {#4}}%
+ \xint_afterfi {\XINT_fmin_B {#4}}%
\fi
{#1}{#4}{#2}{#3}{#5}{#6}{{#4}{#5}{#6}}{{#1}{#2}{#3}}%
}%
-\def\XINT@fmin@B #1#2#3#4#5#6#7%
+\def\XINT_fmin_B #1#2#3#4#5#6#7%
{%
- \expandafter\XINT@fmin@C\expandafter
+ \expandafter\XINT_fmin_C\expandafter
{\romannumeral0\xintimul {\xintDSH {\the\numexpr -#3+#1\relax}{#6}}{#5}}%
{\romannumeral0\xintimul {#7}{\xintDSH {\the\numexpr -#2+#1\relax}{#4}}}%
}%
-\def\XINT@fmin@C #1#2%
+\def\XINT_fmin_C #1#2%
{%
- \expandafter\XINT@min@fork #2\Z #1\Z
+ \expandafter\XINT_min_fork #2\Z #1\Z
}%
\def\xintAbs {\romannumeral0\xintabs }%
\def\xintabs #1%
{%
- \expandafter\xint@fabs\romannumeral0\XINT@infrac {#1}%
+ \expandafter\xint_fabs\romannumeral0\XINT_infrac {#1}%
}%
-\def\xint@fabs #1#2%
+\def\xint_fabs #1#2%
{%
- \expandafter\XINT@outfrac\expandafter
+ \expandafter\XINT_outfrac\expandafter
{\the\numexpr #1\expandafter}\expandafter
- {\romannumeral0\XINT@abs #2}%
+ {\romannumeral0\XINT_abs #2}%
}%
\def\xintOpp {\romannumeral0\xintopp }%
\def\xintopp #1%
{%
- \expandafter\xint@fopp\romannumeral0\XINT@infrac {#1}%
+ \expandafter\xint_fopp\romannumeral0\XINT_infrac {#1}%
}%
-\def\xint@fopp #1#2%
+\def\xint_fopp #1#2%
{%
- \expandafter\XINT@outfrac\expandafter
+ \expandafter\XINT_outfrac\expandafter
{\the\numexpr #1\expandafter}\expandafter
- {\romannumeral0\XINT@opp #2}%
+ {\romannumeral0\XINT_opp #2}%
}%
\def\xintSgn {\romannumeral0\xintsgn }%
\def\xintsgn #1%
{%
- \expandafter\xint@fsgn\romannumeral0\XINT@infrac {#1}%
+ \expandafter\xint_fsgn\romannumeral0\XINT_infrac {#1}%
}%
-\def\xint@fsgn #1#2#3{\xintisgn {#2}}%
+\def\xint_fsgn #1#2#3{\xintisgn {#2}}%
\def\xintGeq {\romannumeral0\xintgeq }%
\def\xintgeq #1%
{%
- \expandafter\xint@xgeq\expandafter{\romannumeral0\xintnum {#1}}%
+ \expandafter\xint_xgeq\expandafter{\romannumeral0\xintnum {#1}}%
}%
-\def\xint@xgeq #1#2%
+\def\xint_xgeq #1#2%
{%
- \expandafter\XINT@geq@fork\romannumeral0\xintnum {#2}\Z #1\Z
+ \expandafter\XINT_geq_fork\romannumeral0\xintnum {#2}\Z #1\Z
}%
\def\xintDivision {\romannumeral0\xintdivision }%
\def\xintdivision #1%
{%
- \expandafter\xint@xdivision\expandafter{\romannumeral0\xintnum {#1}}%
+ \expandafter\xint_xdivision\expandafter{\romannumeral0\xintnum {#1}}%
}%
-\def\xint@xdivision #1#2%
+\def\xint_xdivision #1#2%
{%
- \expandafter\XINT@div@fork\romannumeral0\xintnum {#2}\Z #1\Z
+ \expandafter\XINT_div_fork\romannumeral0\xintnum {#2}\Z #1\Z
}%
\def\xintQuo {\romannumeral0\xintquo }%
\def\xintRem {\romannumeral0\xintrem }%
-\def\xintquo {\expandafter\xint@firstoftwo@andstop
+\def\xintquo {\expandafter\xint_firstoftwo_andstop
\romannumeral0\xintdivision }%
-\def\xintrem {\expandafter\xint@secondoftwo@andstop
+\def\xintrem {\expandafter\xint_secondoftwo_andstop
\romannumeral0\xintdivision }%
\def\xintFDg {\romannumeral0\xintfdg }%
\def\xintfdg #1%
{%
- \expandafter\XINT@fdg\romannumeral0\xintnum {#1}\W\Z
+ \expandafter\XINT_fdg\romannumeral0\xintnum {#1}\W\Z
}%
\def\xintLDg {\romannumeral0\xintldg }%
\def\xintldg #1%
{%
- \expandafter\XINT@ldg\expandafter{\romannumeral0\xintnum {#1}}%
+ \expandafter\XINT_ldg\expandafter{\romannumeral0\xintnum {#1}}%
}%
\def\xintMON {\romannumeral0\xintmon }%
\def\xintmon #1%
{%
\ifodd\xintLDg {#1}
- \xint@afterfi{ -1}%
+ \xint_afterfi{ -1}%
\else
- \xint@afterfi{ 1}%
+ \xint_afterfi{ 1}%
\fi
}%
\def\xintMMON {\romannumeral0\xintmmon }%
\def\xintmmon #1%
{%
\ifodd\xintLDg {#1}
- \xint@afterfi{ 1}%
+ \xint_afterfi{ 1}%
\else
- \xint@afterfi{ -1}%
+ \xint_afterfi{ -1}%
\fi
}%
\def\xintOdd {\romannumeral0\xintodd }%
\def\xintodd #1%
{%
\ifodd\xintLDg{#1}
- \xint@afterfi{ 1}%
+ \xint_afterfi{ 1}%
\else
- \xint@afterfi{ 0}%
+ \xint_afterfi{ 0}%
\fi
}%
-\XINT@frac@restorecatcodes@endinput%
+\XINT_frac_restorecatcodes_endinput%
\endinput
%%
%% End of file `xintfrac.sty'.
diff --git a/Master/texmf-dist/tex/generic/xint/xintgcd.sty b/Master/texmf-dist/tex/generic/xint/xintgcd.sty
index 6339b64cbe1..77bee301efe 100644
--- a/Master/texmf-dist/tex/generic/xint/xintgcd.sty
+++ b/Master/texmf-dist/tex/generic/xint/xintgcd.sty
@@ -22,7 +22,7 @@
%% in the same archive or directory.)
%%
%%----------------------------------------------------------------
-%% The xint bundle (version 1.06a of May 9, 2013)
+%% The xint bundle (version 1.06b of May 14, 2013)
%% xintgcd: Euclidean algorithm with xint package
%% Copyright (C) 2013 by Jean-Francois Burnol
%%----------------------------------------------------------------
@@ -108,11 +108,11 @@
\endlinechar=13 %
\catcode123=1 % {
\catcode125=2 % }
- \catcode64=11 % @
+ \catcode95=11 % _
\def\x
{%
\endgroup
- \edef\XINT@gcd@restorecatcodes@endinput
+ \edef\XINT_gcd_restorecatcodes_endinput
{%
\catcode36=\the\catcode36 % $
\catcode96=\the\catcode96 % `
@@ -128,7 +128,7 @@
\catcode45=\the\catcode45 % -
\catcode44=\the\catcode44 % ,
\catcode35=\the\catcode35 % #
- \catcode64=\the\catcode64 % @
+ \catcode95=\the\catcode95 % _
\catcode125=\the\catcode125 % }
\catcode123=\the\catcode123 % {
\endlinechar=\the\endlinechar
@@ -137,11 +137,12 @@
\catcode61=\the\catcode61\relax % =
\noexpand\endinput
}%
- \XINT@setcatcodes
+ \XINT_setcatcodes
\catcode36=3 % $
}%
\x
\begingroup
+ \catcode64=11 % @
\catcode91=12 % [
\catcode93=12 % ]
\catcode58=12 % :
@@ -163,289 +164,289 @@
\fi
\expandafter\x\csname ver@xintgcd.sty\endcsname
\ProvidesPackage{xintgcd}%
- [2013/05/09 v1.06a Euclide algorithm with xint package (jfB)]%
+ [2013/05/14 v1.06b Euclide algorithm with xint package (jfB)]%
\def\xintGCD {\romannumeral0\xintgcd }%
\def\xintgcd #1%
{%
- \expandafter\XINT@gcd\expandafter{\romannumeral0\xintiabs {#1}}%
+ \expandafter\XINT_gcd\expandafter{\romannumeral0\xintiabs {#1}}%
}%
-\def\XINT@gcd #1#2%
+\def\XINT_gcd #1#2%
{%
- \expandafter\XINT@gcd@fork\romannumeral0\xintiabs {#2}\Z #1\Z
+ \expandafter\XINT_gcd_fork\romannumeral0\xintiabs {#2}\Z #1\Z
}%
-\def\XINT@gcd@fork #1#2\Z #3#4\Z
+\def\XINT_gcd_fork #1#2\Z #3#4\Z
{%
- \xint@UDzerofork
- #1\dummy \XINT@gcd@BisZero
- #3\dummy \XINT@gcd@AisZero
- 0\dummy \XINT@gcd@loop
- \xint@UDkrof
+ \xint_UDzerofork
+ #1\dummy \XINT_gcd_BisZero
+ #3\dummy \XINT_gcd_AisZero
+ 0\dummy \XINT_gcd_loop
+ \krof
{#1#2}{#3#4}%
}%
-\def\XINT@gcd@AisZero #1#2{ #1}%
-\def\XINT@gcd@BisZero #1#2{ #2}%
-\def\XINT@gcd@CheckRem #1#2\Z
+\def\XINT_gcd_AisZero #1#2{ #1}%
+\def\XINT_gcd_BisZero #1#2{ #2}%
+\def\XINT_gcd_CheckRem #1#2\Z
{%
- \xint@zero #1\xint@gcd@end0\XINT@gcd@loop {#1#2}%
+ \xint_gob_til_zero #1\xint_gcd_end0\XINT_gcd_loop {#1#2}%
}%
-\def\xint@gcd@end0\XINT@gcd@loop #1#2{ #2}%
-\def\XINT@gcd@loop #1#2%
+\def\xint_gcd_end0\XINT_gcd_loop #1#2{ #2}%
+\def\XINT_gcd_loop #1#2%
{%
\expandafter\expandafter\expandafter
- \XINT@gcd@CheckRem
- \expandafter\xint@secondoftwo
- \romannumeral0\XINT@div@prepare {#1}{#2}\Z
+ \XINT_gcd_CheckRem
+ \expandafter\xint_secondoftwo
+ \romannumeral0\XINT_div_prepare {#1}{#2}\Z
{#1}%
}%
\def\xintBezout {\romannumeral0\xintbezout }%
\def\xintbezout #1%
{%
- \expandafter\xint@bezout\expandafter {\romannumeral-`0#1}%
+ \expandafter\xint_bezout\expandafter {\romannumeral-`0#1}%
}%
-\def\xint@bezout #1#2%
+\def\xint_bezout #1#2%
{%
- \expandafter\XINT@bezout@fork \romannumeral-`0#2\Z #1\Z
+ \expandafter\XINT_bezout_fork \romannumeral-`0#2\Z #1\Z
}%
-\def\XINT@bezout@fork #1#2\Z #3#4\Z
+\def\XINT_bezout_fork #1#2\Z #3#4\Z
{%
- \xint@UDzerosfork
- #1#3\dummy \XINT@bezout@botharezero
- #10\dummy \XINT@bezout@secondiszero
- #30\dummy \XINT@bezout@firstiszero
+ \xint_UDzerosfork
+ #1#3\dummy \XINT_bezout_botharezero
+ #10\dummy \XINT_bezout_secondiszero
+ #30\dummy \XINT_bezout_firstiszero
00\dummy
- {\xint@UDsignsfork
- #1#3\dummy \XINT@bezout@minusminus % A < 0, B < 0
- #1-\dummy \XINT@bezout@minusplus % A > 0, B < 0
- #3-\dummy \XINT@bezout@plusminus % A < 0, B > 0
- --\dummy \XINT@bezout@plusplus % A > 0, B > 0
- \xint@UDkrof }%
- \xint@UDkrof
+ {\xint_UDsignsfork
+ #1#3\dummy \XINT_bezout_minusminus % A < 0, B < 0
+ #1-\dummy \XINT_bezout_minusplus % A > 0, B < 0
+ #3-\dummy \XINT_bezout_plusminus % A < 0, B > 0
+ --\dummy \XINT_bezout_plusplus % A > 0, B > 0
+ \krof }%
+ \krof
{#2}{#4}#1#3{#3#4}{#1#2}% #1#2=B, #3#4=A
}%
-\def\XINT@bezout@botharezero #1#2#3#4#5#6%
+\def\XINT_bezout_botharezero #1#2#3#4#5#6%
{%
\xintError:NoBezoutForZeros
\space {0}{0}{0}{0}{0}%
}%
-\def\XINT@bezout@firstiszero #1#2#3#4#5#6%
+\def\XINT_bezout_firstiszero #1#2#3#4#5#6%
{%
- \xint@UDsignfork
+ \xint_UDsignfork
#3\dummy { {0}{#3#1}{0}{1}{#1}}%
-\dummy { {0}{#3#1}{0}{-1}{#1}}%
- \xint@UDkrof
+ \krof
}%
-\def\XINT@bezout@secondiszero #1#2#3#4#5#6%
+\def\XINT_bezout_secondiszero #1#2#3#4#5#6%
{%
- \xint@UDsignfork
+ \xint_UDsignfork
#4\dummy{ {#4#2}{0}{-1}{0}{#2}}%
-\dummy{ {#4#2}{0}{1}{0}{#2}}%
- \xint@UDkrof
+ \krof
}%
-\def\XINT@bezout@minusminus #1#2#3#4%
+\def\XINT_bezout_minusminus #1#2#3#4%
{%
- \expandafter\XINT@bezout@mm@post
- \romannumeral0\XINT@bezout@loop@a 1{#1}{#2}1001%
+ \expandafter\XINT_bezout_mm_post
+ \romannumeral0\XINT_bezout_loop_a 1{#1}{#2}1001%
}%
-\def\XINT@bezout@mm@post #1#2%
+\def\XINT_bezout_mm_post #1#2%
{%
- \expandafter\XINT@bezout@mm@postb\expandafter
+ \expandafter\XINT_bezout_mm_postb\expandafter
{\romannumeral0\xintiopp{#2}}{\romannumeral0\xintiopp{#1}}%
}%
-\def\XINT@bezout@mm@postb #1#2%
+\def\XINT_bezout_mm_postb #1#2%
{%
- \expandafter\XINT@bezout@mm@postc\expandafter {#2}{#1}%
+ \expandafter\XINT_bezout_mm_postc\expandafter {#2}{#1}%
}%
-\def\XINT@bezout@mm@postc #1#2#3#4#5%
+\def\XINT_bezout_mm_postc #1#2#3#4#5%
{%
\space {#4}{#5}{#1}{#2}{#3}%
}%
-\def\XINT@bezout@minusplus #1#2#3#4%
+\def\XINT_bezout_minusplus #1#2#3#4%
{%
- \expandafter\XINT@bezout@mp@post
- \romannumeral0\XINT@bezout@loop@a 1{#1}{#4#2}1001%
+ \expandafter\XINT_bezout_mp_post
+ \romannumeral0\XINT_bezout_loop_a 1{#1}{#4#2}1001%
}%
-\def\XINT@bezout@mp@post #1#2%
+\def\XINT_bezout_mp_post #1#2%
{%
- \expandafter\XINT@bezout@mp@postb\expandafter
+ \expandafter\XINT_bezout_mp_postb\expandafter
{\romannumeral0\xintiopp {#2}}{#1}%
}%
-\def\XINT@bezout@mp@postb #1#2#3#4#5%
+\def\XINT_bezout_mp_postb #1#2#3#4#5%
{%
\space {#4}{#5}{#2}{#1}{#3}%
}%
-\def\XINT@bezout@plusminus #1#2#3#4%
+\def\XINT_bezout_plusminus #1#2#3#4%
{%
- \expandafter\XINT@bezout@pm@post
- \romannumeral0\XINT@bezout@loop@a 1{#3#1}{#2}1001%
+ \expandafter\XINT_bezout_pm_post
+ \romannumeral0\XINT_bezout_loop_a 1{#3#1}{#2}1001%
}%
-\def\XINT@bezout@pm@post #1%
+\def\XINT_bezout_pm_post #1%
{%
- \expandafter \XINT@bezout@pm@postb \expandafter
+ \expandafter \XINT_bezout_pm_postb \expandafter
{\romannumeral0\xintiopp{#1}}%
}%
-\def\XINT@bezout@pm@postb #1#2#3#4#5%
+\def\XINT_bezout_pm_postb #1#2#3#4#5%
{%
\space {#4}{#5}{#1}{#2}{#3}%
}%
-\def\XINT@bezout@plusplus #1#2#3#4%
+\def\XINT_bezout_plusplus #1#2#3#4%
{%
- \expandafter\XINT@bezout@pp@post
- \romannumeral0\XINT@bezout@loop@a 1{#3#1}{#4#2}1001%
+ \expandafter\XINT_bezout_pp_post
+ \romannumeral0\XINT_bezout_loop_a 1{#3#1}{#4#2}1001%
}%
-\def\XINT@bezout@pp@post #1#2#3#4#5%
+\def\XINT_bezout_pp_post #1#2#3#4#5%
{%
\space {#4}{#5}{#1}{#2}{#3}%
}%
-\def\XINT@bezout@loop@a #1#2#3%
+\def\XINT_bezout_loop_a #1#2#3%
{%
- \expandafter\XINT@bezout@loop@b
+ \expandafter\XINT_bezout_loop_b
\expandafter{\the\numexpr -#1\expandafter }%
- \romannumeral0\XINT@div@prepare {#2}{#3}{#2}%
+ \romannumeral0\XINT_div_prepare {#2}{#3}{#2}%
}%
-\def\XINT@bezout@loop@b #1#2#3#4#5#6#7#8%
+\def\XINT_bezout_loop_b #1#2#3#4#5#6#7#8%
{%
- \expandafter \XINT@bezout@loop@c \expandafter
- {\romannumeral0\xintiadd{\XINT@Mul{#5}{#2}}{#7}}%
- {\romannumeral0\xintiadd{\XINT@Mul{#6}{#2}}{#8}}%
+ \expandafter \XINT_bezout_loop_c \expandafter
+ {\romannumeral0\xintiadd{\XINT_Mul{#5}{#2}}{#7}}%
+ {\romannumeral0\xintiadd{\XINT_Mul{#6}{#2}}{#8}}%
{#1}{#3}{#4}{#5}{#6}%
}%
-\def\XINT@bezout@loop@c #1#2%
+\def\XINT_bezout_loop_c #1#2%
{%
- \expandafter \XINT@bezout@loop@d \expandafter
+ \expandafter \XINT_bezout_loop_d \expandafter
{#2}{#1}%
}%
-\def\XINT@bezout@loop@d #1#2#3#4#5%
+\def\XINT_bezout_loop_d #1#2#3#4#5%
{%
- \XINT@bezout@loop@e #4\Z {#3}{#5}{#2}{#1}%
+ \XINT_bezout_loop_e #4\Z {#3}{#5}{#2}{#1}%
}%
-\def\XINT@bezout@loop@e #1#2\Z
+\def\XINT_bezout_loop_e #1#2\Z
{%
- \xint@zero #1\xint@bezout@loop@exit0\XINT@bezout@loop@f
+ \xint_gob_til_zero #1\xint_bezout_loop_exit0\XINT_bezout_loop_f
{#1#2}%
}%
-\def\XINT@bezout@loop@f #1#2%
+\def\XINT_bezout_loop_f #1#2%
{%
- \XINT@bezout@loop@a {#2}{#1}%
+ \XINT_bezout_loop_a {#2}{#1}%
}%
-\def\xint@bezout@loop@exit0\XINT@bezout@loop@f #1#2%
+\def\xint_bezout_loop_exit0\XINT_bezout_loop_f #1#2%
{%
\ifcase #2
- \or \expandafter\XINT@bezout@exiteven
- \else\expandafter\XINT@bezout@exitodd
+ \or \expandafter\XINT_bezout_exiteven
+ \else\expandafter\XINT_bezout_exitodd
\fi
}%
-\def\XINT@bezout@exiteven #1#2#3#4#5%
+\def\XINT_bezout_exiteven #1#2#3#4#5%
{%
\space {#5}{#4}{#1}%
}%
-\def\XINT@bezout@exitodd #1#2#3#4#5%
+\def\XINT_bezout_exitodd #1#2#3#4#5%
{%
\space {-#5}{-#4}{#1}%
}%
\def\xintEuclideAlgorithm {\romannumeral0\xinteuclidealgorithm }%
\def\xinteuclidealgorithm #1%
{%
- \expandafter \XINT@euc \expandafter{\romannumeral0\xintiabs {#1}}%
+ \expandafter \XINT_euc \expandafter{\romannumeral0\xintiabs {#1}}%
}%
-\def\XINT@euc #1#2%
+\def\XINT_euc #1#2%
{%
- \expandafter\XINT@euc@fork \romannumeral0\xintiabs {#2}\Z #1\Z
+ \expandafter\XINT_euc_fork \romannumeral0\xintiabs {#2}\Z #1\Z
}%
-\def\XINT@euc@fork #1#2\Z #3#4\Z
+\def\XINT_euc_fork #1#2\Z #3#4\Z
{%
- \xint@UDzerofork
- #1\dummy \XINT@euc@BisZero
- #3\dummy \XINT@euc@AisZero
- 0\dummy \XINT@euc@a
- \xint@UDkrof
+ \xint_UDzerofork
+ #1\dummy \XINT_euc_BisZero
+ #3\dummy \XINT_euc_AisZero
+ 0\dummy \XINT_euc_a
+ \krof
{0}{#1#2}{#3#4}{{#3#4}{#1#2}}{}\Z
}%
-\def\XINT@euc@AisZero #1#2#3#4#5#6{ {1}{0}{#2}{#2}{0}{0}}%
-\def\XINT@euc@BisZero #1#2#3#4#5#6{ {1}{0}{#3}{#3}{0}{0}}%
-\def\XINT@euc@a #1#2#3%
+\def\XINT_euc_AisZero #1#2#3#4#5#6{ {1}{0}{#2}{#2}{0}{0}}%
+\def\XINT_euc_BisZero #1#2#3#4#5#6{ {1}{0}{#3}{#3}{0}{0}}%
+\def\XINT_euc_a #1#2#3%
{%
- \expandafter\XINT@euc@b
+ \expandafter\XINT_euc_b
\expandafter {\the\numexpr #1+1\expandafter }%
- \romannumeral0\XINT@div@prepare {#2}{#3}{#2}%
+ \romannumeral0\XINT_div_prepare {#2}{#3}{#2}%
}%
-\def\XINT@euc@b #1#2#3#4%
+\def\XINT_euc_b #1#2#3#4%
{%
- \XINT@euc@c #3\Z {#1}{#3}{#4}{{#2}{#3}}%
+ \XINT_euc_c #3\Z {#1}{#3}{#4}{{#2}{#3}}%
}%
-\def\XINT@euc@c #1#2\Z
+\def\XINT_euc_c #1#2\Z
{%
- \xint@zero #1\xint@euc@end0\XINT@euc@a
+ \xint_gob_til_zero #1\xint_euc_end0\XINT_euc_a
}%
-\def\xint@euc@end0\XINT@euc@a #1#2#3#4\Z%
+\def\xint_euc_end0\XINT_euc_a #1#2#3#4\Z%
{%
- \expandafter\xint@euc@end@
+ \expandafter\xint_euc_end_
\romannumeral0%
- \XINT@rord@main {}#4{{#1}{#3}}%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#4{{#1}{#3}}%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
}%
-\def\xint@euc@end@ #1#2#3%
+\def\xint_euc_end_ #1#2#3%
{%
\space {#1}{#3}{#2}%
}%
\def\xintBezoutAlgorithm {\romannumeral0\xintbezoutalgorithm }%
\def\xintbezoutalgorithm #1%
{%
- \expandafter \XINT@bezalg \expandafter{\romannumeral0\xintiabs {#1}}%
+ \expandafter \XINT_bezalg \expandafter{\romannumeral0\xintiabs {#1}}%
}%
-\def\XINT@bezalg #1#2%
+\def\XINT_bezalg #1#2%
{%
- \expandafter\XINT@bezalg@fork \romannumeral0\xintiabs {#2}\Z #1\Z
+ \expandafter\XINT_bezalg_fork \romannumeral0\xintiabs {#2}\Z #1\Z
}%
-\def\XINT@bezalg@fork #1#2\Z #3#4\Z
+\def\XINT_bezalg_fork #1#2\Z #3#4\Z
{%
- \xint@UDzerofork
- #1\dummy \XINT@bezalg@BisZero
- #3\dummy \XINT@bezalg@AisZero
- 0\dummy \XINT@bezalg@a
- \xint@UDkrof
+ \xint_UDzerofork
+ #1\dummy \XINT_bezalg_BisZero
+ #3\dummy \XINT_bezalg_AisZero
+ 0\dummy \XINT_bezalg_a
+ \krof
0{#1#2}{#3#4}1001{{#3#4}{#1#2}}{}\Z
}%
-\def\XINT@bezalg@AisZero #1#2#3\Z{ {1}{0}{0}{1}{#2}{#2}{1}{0}{0}{0}{0}{1}}%
-\def\XINT@bezalg@BisZero #1#2#3#4\Z{ {1}{0}{0}{1}{#3}{#3}{1}{0}{0}{0}{0}{1}}%
-\def\XINT@bezalg@a #1#2#3%
+\def\XINT_bezalg_AisZero #1#2#3\Z{ {1}{0}{0}{1}{#2}{#2}{1}{0}{0}{0}{0}{1}}%
+\def\XINT_bezalg_BisZero #1#2#3#4\Z{ {1}{0}{0}{1}{#3}{#3}{1}{0}{0}{0}{0}{1}}%
+\def\XINT_bezalg_a #1#2#3%
{%
- \expandafter\XINT@bezalg@b
+ \expandafter\XINT_bezalg_b
\expandafter {\the\numexpr #1+1\expandafter }%
- \romannumeral0\XINT@div@prepare {#2}{#3}{#2}%
+ \romannumeral0\XINT_div_prepare {#2}{#3}{#2}%
}%
-\def\XINT@bezalg@b #1#2#3#4#5#6#7#8%
+\def\XINT_bezalg_b #1#2#3#4#5#6#7#8%
{%
- \expandafter\XINT@bezalg@c\expandafter
+ \expandafter\XINT_bezalg_c\expandafter
{\romannumeral0\xintiadd {\xintiMul {#6}{#2}}{#8}}%
{\romannumeral0\xintiadd {\xintiMul {#5}{#2}}{#7}}%
{#1}{#2}{#3}{#4}{#5}{#6}%
}%
-\def\XINT@bezalg@c #1#2#3#4#5#6%
+\def\XINT_bezalg_c #1#2#3#4#5#6%
{%
- \expandafter\XINT@bezalg@d\expandafter {#2}{#3}{#4}{#5}{#6}{#1}%
+ \expandafter\XINT_bezalg_d\expandafter {#2}{#3}{#4}{#5}{#6}{#1}%
}%
-\def\XINT@bezalg@d #1#2#3#4#5#6#7#8%
+\def\XINT_bezalg_d #1#2#3#4#5#6#7#8%
{%
- \XINT@bezalg@e #4\Z {#2}{#4}{#5}{#1}{#6}{#7}{#8}{{#3}{#4}{#1}{#6}}%
+ \XINT_bezalg_e #4\Z {#2}{#4}{#5}{#1}{#6}{#7}{#8}{{#3}{#4}{#1}{#6}}%
}%
-\def\XINT@bezalg@e #1#2\Z
+\def\XINT_bezalg_e #1#2\Z
{%
- \xint@zero #1\xint@bezalg@end0\XINT@bezalg@a
+ \xint_gob_til_zero #1\xint_bezalg_end0\XINT_bezalg_a
}%
-\def\xint@bezalg@end0\XINT@bezalg@a #1#2#3#4#5#6#7#8\Z
+\def\xint_bezalg_end0\XINT_bezalg_a #1#2#3#4#5#6#7#8\Z
{%
- \expandafter\xint@bezalg@end@
+ \expandafter\xint_bezalg_end_
\romannumeral0%
- \XINT@rord@main {}#8{{#1}{#3}}%
- \xint@UNDEF
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@undef\xint@undef\xint@undef\xint@undef
- \xint@UNDEF
+ \XINT_rord_main {}#8{{#1}{#3}}%
+ \xint_relax
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_undef\xint_undef\xint_undef\xint_undef
+ \xint_relax
}%
-\def\xint@bezalg@end@ #1#2#3#4%
+\def\xint_bezalg_end_ #1#2#3#4%
{%
\space {#1}{#3}{0}{1}{#2}{#4}{1}{0}%
}%
@@ -509,7 +510,7 @@
\par
\endgroup
}%
-\XINT@gcd@restorecatcodes@endinput%
+\XINT_gcd_restorecatcodes_endinput%
\endinput
%%
%% End of file `xintgcd.sty'.
diff --git a/Master/texmf-dist/tex/generic/xint/xintseries.sty b/Master/texmf-dist/tex/generic/xint/xintseries.sty
index 4dd1c96c299..7d6c1bc0901 100644
--- a/Master/texmf-dist/tex/generic/xint/xintseries.sty
+++ b/Master/texmf-dist/tex/generic/xint/xintseries.sty
@@ -22,7 +22,7 @@
%% in the same archive or directory.)
%%
%%----------------------------------------------------------------
-%% The xint bundle (version 1.06a of May 9, 2013)
+%% The xint bundle (version 1.06b of May 14, 2013)
%% xintseries: Expandable partial sums with xint package
%% Copyright (C) 2013 by Jean-Francois Burnol
%%----------------------------------------------------------------
@@ -108,11 +108,11 @@
\endlinechar=13 %
\catcode123=1 % {
\catcode125=2 % }
- \catcode64=11 % @
+ \catcode95=11 % _
\def\x
{%
\endgroup
- \edef\XINT@series@restorecatcodes@endinput
+ \edef\XINT_series_restorecatcodes_endinput
{%
\catcode93=\the\catcode93 % ]
\catcode91=\the\catcode91 % [
@@ -129,7 +129,7 @@
\catcode45=\the\catcode45 % -
\catcode44=\the\catcode44 % ,
\catcode35=\the\catcode35 % #
- \catcode64=\the\catcode64 % @
+ \catcode95=\the\catcode95 % _
\catcode125=\the\catcode125 % }
\catcode123=\the\catcode123 % {
\endlinechar=\the\endlinechar
@@ -138,12 +138,13 @@
\catcode61=\the\catcode61\relax % =
\noexpand\endinput
}%
- \XINT@setcatcodes
+ \XINT_setcatcodes
\catcode91=12 % [
\catcode93=12 % ]
}%
\x
\begingroup
+ \catcode64=11 % @
\catcode58=12 % :
\expandafter\ifx\csname ProvidesPackage\endcsname\relax
\def\x#1#2#3[#4]{\endgroup
@@ -163,237 +164,237 @@
\fi
\expandafter\x\csname ver@xintseries.sty\endcsname
\ProvidesPackage{xintseries}%
- [2013/05/09 v1.06a Expandable partial sums with xint package (jfB)]%
+ [2013/05/14 v1.06b Expandable partial sums with xint package (jfB)]%
\def\xintSeries {\romannumeral0\xintseries }%
\def\xintseries #1#2%
{%
- \expandafter\XINT@series@i\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_series_i\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@series@i #1#2%
+\def\XINT_series_i #1#2%
{%
- \expandafter\XINT@series@ii\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_series_ii\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@series@ii #1#2#3%
+\def\XINT_series_ii #1#2#3%
{%
\ifnum #2<#1
- \xint@afterfi { 0/1[0]}%
+ \xint_afterfi { 0/1[0]}%
\else
- \xint@afterfi {\XINT@series@loop {#1}{0}{#2}{#3}}%
+ \xint_afterfi {\XINT_series_loop {#1}{0}{#2}{#3}}%
\fi
}%
-\def\XINT@series@loop #1#2#3#4%
+\def\XINT_series_loop #1#2#3#4%
{%
- \ifnum #3>#1 \else \XINT@series@exit \fi
- \expandafter\XINT@series@loop\expandafter
+ \ifnum #3>#1 \else \XINT_series_exit \fi
+ \expandafter\XINT_series_loop\expandafter
{\the\numexpr #1+1\expandafter }\expandafter
{\romannumeral0\xintadd {#2}{#4{#1}}}%
{#3}{#4}%
}%
-\def\XINT@series@exit \fi #1#2#3#4#5#6#7#8%
+\def\XINT_series_exit \fi #1#2#3#4#5#6#7#8%
{%
- \fi\xint@gobble@ii #6%
+ \fi\xint_gobble_ii #6%
}%
\def\xintiSeries {\romannumeral0\xintiseries }%
\def\xintiseries #1#2%
{%
- \expandafter\XINT@iseries@i\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_iseries_i\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@iseries@i #1#2%
+\def\XINT_iseries_i #1#2%
{%
- \expandafter\XINT@iseries@ii\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_iseries_ii\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@iseries@ii #1#2#3%
+\def\XINT_iseries_ii #1#2#3%
{%
\ifnum #2<#1
- \xint@afterfi { 0}%
+ \xint_afterfi { 0}%
\else
- \xint@afterfi {\XINT@iseries@loop {#1}{0}{#2}{#3}}%
+ \xint_afterfi {\XINT_iseries_loop {#1}{0}{#2}{#3}}%
\fi
}%
-\def\XINT@iseries@loop #1#2#3#4%
+\def\XINT_iseries_loop #1#2#3#4%
{%
- \ifnum #3>#1 \else \XINT@iseries@exit \fi
- \expandafter\XINT@iseries@loop\expandafter
+ \ifnum #3>#1 \else \XINT_iseries_exit \fi
+ \expandafter\XINT_iseries_loop\expandafter
{\the\numexpr #1+1\expandafter }\expandafter
{\romannumeral0\xintiadd {#2}{#4{#1}}}%
{#3}{#4}%
}%
-\def\XINT@iseries@exit \fi #1#2#3#4#5#6#7#8%
+\def\XINT_iseries_exit \fi #1#2#3#4#5#6#7#8%
{%
- \fi\xint@gobble@ii #6%
+ \fi\xint_gobble_ii #6%
}%
\def\xintPowerSeries {\romannumeral0\xintpowerseries }%
\def\xintpowerseries #1#2%
{%
- \expandafter\XINT@powseries@i\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_powseries_i\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@powseries@i #1#2%
+\def\XINT_powseries_i #1#2%
{%
- \expandafter\XINT@powseries@ii\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_powseries_ii\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@powseries@ii #1#2#3#4%
+\def\XINT_powseries_ii #1#2#3#4%
{%
\ifnum #2<#1
- \xint@afterfi { 0/1[0]}%
+ \xint_afterfi { 0/1[0]}%
\else
- \xint@afterfi
- {\XINT@powseries@loop@i {#3{#2}}{#1}{#2}{#3}{#4}}%
+ \xint_afterfi
+ {\XINT_powseries_loop_i {#3{#2}}{#1}{#2}{#3}{#4}}%
\fi
}%
-\def\XINT@powseries@loop@i #1#2#3#4#5%
+\def\XINT_powseries_loop_i #1#2#3#4#5%
{%
- \ifnum #3>#2 \else\XINT@powseries@exit@i\fi
- \expandafter\XINT@powseries@loop@ii\expandafter
+ \ifnum #3>#2 \else\XINT_powseries_exit_i\fi
+ \expandafter\XINT_powseries_loop_ii\expandafter
{\the\numexpr #3-1\expandafter}\expandafter
{\romannumeral0\xintmul {#1}{#5}}{#2}{#4}{#5}%
}%
-\def\XINT@powseries@loop@ii #1#2#3#4%
+\def\XINT_powseries_loop_ii #1#2#3#4%
{%
- \expandafter\XINT@powseries@loop@i\expandafter
+ \expandafter\XINT_powseries_loop_i\expandafter
{\romannumeral0\xintadd {#4{#1}}{#2}}{#3}{#1}{#4}%
}%
-\def\XINT@powseries@exit@i\fi #1#2#3#4#5#6#7#8#9%
+\def\XINT_powseries_exit_i\fi #1#2#3#4#5#6#7#8#9%
{%
- \fi \XINT@powseries@exit@ii #6{#7}%
+ \fi \XINT_powseries_exit_ii #6{#7}%
}%
-\def\XINT@powseries@exit@ii #1#2#3#4#5#6%
+\def\XINT_powseries_exit_ii #1#2#3#4#5#6%
{%
\xintmul{\xintPow {#5}{#6}}{#4}%
}%
\def\xintPowerSeriesX {\romannumeral0\xintpowerseriesx }%
\def\xintpowerseriesx #1#2%
{%
- \expandafter\XINT@powseriesx@i\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_powseriesx_i\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@powseriesx@i #1#2%
+\def\XINT_powseriesx_i #1#2%
{%
- \expandafter\XINT@powseriesx@ii\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_powseriesx_ii\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@powseriesx@ii #1#2#3#4%
+\def\XINT_powseriesx_ii #1#2#3#4%
{%
\ifnum #2<#1
- \xint@afterfi { 0/1[0]}%
+ \xint_afterfi { 0/1[0]}%
\else
- \xint@afterfi
- {\expandafter\XINT@powseriesx@pre\expandafter
+ \xint_afterfi
+ {\expandafter\XINT_powseriesx_pre\expandafter
{\romannumeral-`0#4}{#1}{#2}{#3}%
}%
\fi
}%
-\def\XINT@powseriesx@pre #1#2#3#4%
+\def\XINT_powseriesx_pre #1#2#3#4%
{%
- \XINT@powseries@loop@i {#4{#3}}{#2}{#3}{#4}{#1}%
+ \XINT_powseries_loop_i {#4{#3}}{#2}{#3}{#4}{#1}%
}%
\def\xintRationalSeries {\romannumeral0\xintratseries }%
\def\xintratseries #1#2%
{%
- \expandafter\XINT@ratseries@i\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_ratseries_i\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@ratseries@i #1#2%
+\def\XINT_ratseries_i #1#2%
{%
- \expandafter\XINT@ratseries@ii\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_ratseries_ii\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@ratseries@ii #1#2#3#4%
+\def\XINT_ratseries_ii #1#2#3#4%
{%
\ifnum #2<#1
- \xint@afterfi { 0/1[0]}%
+ \xint_afterfi { 0/1[0]}%
\else
- \xint@afterfi
- {\XINT@ratseries@loop {#2}{1}{#1}{#4}{#3}}%
+ \xint_afterfi
+ {\XINT_ratseries_loop {#2}{1}{#1}{#4}{#3}}%
\fi
}%
-\def\XINT@ratseries@loop #1#2#3#4%
+\def\XINT_ratseries_loop #1#2#3#4%
{%
- \ifnum #1>#3 \else\XINT@ratseries@exit@i\fi
- \expandafter\XINT@ratseries@loop\expandafter
+ \ifnum #1>#3 \else\XINT_ratseries_exit_i\fi
+ \expandafter\XINT_ratseries_loop\expandafter
{\the\numexpr #1-1\expandafter}\expandafter
{\romannumeral0\xintadd {1}{\xintMul {#2}{#4{#1}}}}{#3}{#4}%
}%
-\def\XINT@ratseries@exit@i\fi #1#2#3#4#5#6#7#8%
+\def\XINT_ratseries_exit_i\fi #1#2#3#4#5#6#7#8%
{%
- \fi \XINT@ratseries@exit@ii #6%
+ \fi \XINT_ratseries_exit_ii #6%
}%
-\def\XINT@ratseries@exit@ii #1#2#3#4#5%
+\def\XINT_ratseries_exit_ii #1#2#3#4#5%
{%
- \XINT@ratseries@exit@iii #5%
+ \XINT_ratseries_exit_iii #5%
}%
-\def\XINT@ratseries@exit@iii #1#2#3#4%
+\def\XINT_ratseries_exit_iii #1#2#3#4%
{%
\xintmul{#2}{#4}%
}%
\def\xintRationalSeriesX {\romannumeral0\xintratseriesx }%
\def\xintratseriesx #1#2%
{%
- \expandafter\XINT@ratseriesx@i\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_ratseriesx_i\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@ratseriesx@i #1#2%
+\def\XINT_ratseriesx_i #1#2%
{%
- \expandafter\XINT@ratseriesx@ii\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_ratseriesx_ii\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@ratseriesx@ii #1#2#3#4#5%
+\def\XINT_ratseriesx_ii #1#2#3#4#5%
{%
\ifnum #2<#1
- \xint@afterfi { 0/1[0]}%
+ \xint_afterfi { 0/1[0]}%
\else
- \xint@afterfi
- {\expandafter\XINT@ratseriesx@pre\expandafter
+ \xint_afterfi
+ {\expandafter\XINT_ratseriesx_pre\expandafter
{\romannumeral-`0#5}{#2}{#1}{#4}{#3}%
}%
\fi
}%
-\def\XINT@ratseriesx@pre #1#2#3#4#5%
+\def\XINT_ratseriesx_pre #1#2#3#4#5%
{%
- \XINT@ratseries@loop {#2}{1}{#3}{#4{#1}}{#5{#1}}%
+ \XINT_ratseries_loop {#2}{1}{#3}{#4{#1}}{#5{#1}}%
}%
\def\xintFxPtPowerSeries {\romannumeral0\xintfxptpowerseries }%
\def\xintfxptpowerseries #1#2%
{%
- \expandafter\XINT@fppowseries@i\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_fppowseries_i\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@fppowseries@i #1#2%
+\def\XINT_fppowseries_i #1#2%
{%
- \expandafter\XINT@fppowseries@ii\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_fppowseries_ii\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@fppowseries@ii #1#2#3#4#5%
+\def\XINT_fppowseries_ii #1#2#3#4#5%
{%
\ifnum #2<#1
- \xint@afterfi { 0}%
+ \xint_afterfi { 0}%
\else
- \xint@afterfi
- {\expandafter\XINT@fppowseries@loop@pre\expandafter
+ \xint_afterfi
+ {\expandafter\XINT_fppowseries_loop_pre\expandafter
{\romannumeral0\xinttrunc {#5}{\xintPow {#4}{#1}}}%
{#1}{#4}{#2}{#3}{#5}%
}%
\fi
}%
-\def\XINT@fppowseries@loop@pre #1#2#3#4#5#6%
+\def\XINT_fppowseries_loop_pre #1#2#3#4#5#6%
{%
- \ifnum #4>#2 \else\XINT@fppowseries@dont@i \fi
- \expandafter\XINT@fppowseries@loop@i\expandafter
+ \ifnum #4>#2 \else\XINT_fppowseries_dont_i \fi
+ \expandafter\XINT_fppowseries_loop_i\expandafter
{\the\numexpr #2+1\expandafter}\expandafter
{\romannumeral0\xintitrunc {#6}{\xintMul {#5{#2}}{#1}}}%
{#1}{#3}{#4}{#5}{#6}%
}%
-\def\XINT@fppowseries@dont@i \fi\expandafter\XINT@fppowseries@loop@i
- {\fi \expandafter\XINT@fppowseries@dont@ii }%
-\def\XINT@fppowseries@dont@ii #1#2#3#4#5#6#7{\xinttrunc {#7}{#2[-#7]}}%
-\def\XINT@fppowseries@loop@i #1#2#3#4#5#6#7%
+\def\XINT_fppowseries_dont_i \fi\expandafter\XINT_fppowseries_loop_i
+ {\fi \expandafter\XINT_fppowseries_dont_ii }%
+\def\XINT_fppowseries_dont_ii #1#2#3#4#5#6#7{\xinttrunc {#7}{#2[-#7]}}%
+\def\XINT_fppowseries_loop_i #1#2#3#4#5#6#7%
{%
- \ifnum #5>#1 \else \XINT@fppowseries@exit@i \fi
- \expandafter\XINT@fppowseries@loop@ii\expandafter
+ \ifnum #5>#1 \else \XINT_fppowseries_exit_i \fi
+ \expandafter\XINT_fppowseries_loop_ii\expandafter
{\romannumeral0\xinttrunc {#7}{\xintMul {#3}{#4}}}%
{#1}{#4}{#2}{#5}{#6}{#7}%
}%
-\def\XINT@fppowseries@loop@ii #1#2#3#4#5#6#7%
+\def\XINT_fppowseries_loop_ii #1#2#3#4#5#6#7%
{%
- \expandafter\XINT@fppowseries@loop@i\expandafter
+ \expandafter\XINT_fppowseries_loop_i\expandafter
{\the\numexpr #2+1\expandafter}\expandafter
{\romannumeral0\xintiadd {#4}{\xintiTrunc {#7}{\xintMul {#6{#2}}{#1}}}}%
{#1}{#3}{#5}{#6}{#7}%
}%
-\def\XINT@fppowseries@exit@i\fi\expandafter\XINT@fppowseries@loop@ii
- {\fi \expandafter\XINT@fppowseries@exit@ii }%
-\def\XINT@fppowseries@exit@ii #1#2#3#4#5#6#7%
+\def\XINT_fppowseries_exit_i\fi\expandafter\XINT_fppowseries_loop_ii
+ {\fi \expandafter\XINT_fppowseries_exit_ii }%
+\def\XINT_fppowseries_exit_ii #1#2#3#4#5#6#7%
{%
\xinttrunc {#7}
{\xintiAdd {#4}{\xintiTrunc {#7}{\xintMul {#6{#2}}{#1}}}[-#7]}%
@@ -401,30 +402,30 @@
\def\xintFxPtPowerSeriesX {\romannumeral0\xintfxptpowerseriesx }%
\def\xintfxptpowerseriesx #1#2%
{%
- \expandafter\XINT@fppowseriesx@i\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_fppowseriesx_i\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@fppowseriesx@i #1#2%
+\def\XINT_fppowseriesx_i #1#2%
{%
- \expandafter\XINT@fppowseriesx@ii\expandafter {\the\numexpr #2}{#1}%
+ \expandafter\XINT_fppowseriesx_ii\expandafter {\the\numexpr #2}{#1}%
}%
-\def\XINT@fppowseriesx@ii #1#2#3#4#5%
+\def\XINT_fppowseriesx_ii #1#2#3#4#5%
{%
\ifnum #2<#1
- \xint@afterfi { 0}%
+ \xint_afterfi { 0}%
\else
- \xint@afterfi
- {\expandafter \XINT@fppowseriesx@pre \expandafter
+ \xint_afterfi
+ {\expandafter \XINT_fppowseriesx_pre \expandafter
{\romannumeral-`0#4}{#1}{#2}{#3}{#5}%
}%
\fi
}%
-\def\XINT@fppowseriesx@pre #1#2#3#4#5%
+\def\XINT_fppowseriesx_pre #1#2#3#4#5%
{%
- \expandafter\XINT@fppowseries@loop@pre\expandafter
+ \expandafter\XINT_fppowseries_loop_pre\expandafter
{\romannumeral0\xinttrunc {#5}{\xintPow {#1}{#2}}}%
{#2}{#1}{#3}{#4}{#5}%
}%
-\XINT@series@restorecatcodes@endinput%
+\XINT_series_restorecatcodes_endinput%
\endinput
%%
%% End of file `xintseries.sty'.