texlive[53168] Master: intcalc split from oberdiek (18dec19)
commits+karl at tug.org
commits+karl at tug.org
Wed Dec 18 00:24:26 CET 2019
Revision: 53168
http://tug.org/svn/texlive?view=revision&revision=53168
Author: karl
Date: 2019-12-18 00:24:25 +0100 (Wed, 18 Dec 2019)
Log Message:
-----------
intcalc split from oberdiek (18dec19)
Modified Paths:
--------------
trunk/Master/tlpkg/bin/tlpkg-ctan-check
trunk/Master/tlpkg/tlpsrc/collection-latex.tlpsrc
Added Paths:
-----------
trunk/Master/texmf-dist/doc/latex/intcalc/
trunk/Master/texmf-dist/doc/latex/intcalc/README.md
trunk/Master/texmf-dist/doc/latex/intcalc/intcalc.pdf
trunk/Master/texmf-dist/source/latex/intcalc/
trunk/Master/texmf-dist/source/latex/intcalc/intcalc.dtx
trunk/Master/texmf-dist/tex/generic/intcalc/
trunk/Master/texmf-dist/tex/generic/intcalc/intcalc.sty
trunk/Master/tlpkg/tlpsrc/intcalc.tlpsrc
Added: trunk/Master/texmf-dist/doc/latex/intcalc/README.md
===================================================================
--- trunk/Master/texmf-dist/doc/latex/intcalc/README.md (rev 0)
+++ trunk/Master/texmf-dist/doc/latex/intcalc/README.md 2019-12-17 23:24:25 UTC (rev 53168)
@@ -0,0 +1,7 @@
+# intcalc
+
+intcalc package for LaTeX
+
+This package provides expandable arithmetic operations
+with integers.
+
Property changes on: trunk/Master/texmf-dist/doc/latex/intcalc/README.md
___________________________________________________________________
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Added: trunk/Master/texmf-dist/doc/latex/intcalc/intcalc.pdf
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===================================================================
--- trunk/Master/texmf-dist/doc/latex/intcalc/intcalc.pdf 2019-12-17 23:23:06 UTC (rev 53167)
+++ trunk/Master/texmf-dist/doc/latex/intcalc/intcalc.pdf 2019-12-17 23:24:25 UTC (rev 53168)
Property changes on: trunk/Master/texmf-dist/doc/latex/intcalc/intcalc.pdf
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Added: svn:mime-type
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Added: trunk/Master/texmf-dist/source/latex/intcalc/intcalc.dtx
===================================================================
--- trunk/Master/texmf-dist/source/latex/intcalc/intcalc.dtx (rev 0)
+++ trunk/Master/texmf-dist/source/latex/intcalc/intcalc.dtx 2019-12-17 23:24:25 UTC (rev 53168)
@@ -0,0 +1,3286 @@
+% \iffalse meta-comment
+%
+% File: intcalc.dtx
+% Version: 2019/12/15 v1.3
+% Info: Expandable calculations with integers
+%
+% Copyright (C)
+% 2007 Heiko Oberdiek
+% 2016-2019 Oberdiek Package Support Group
+% https://github.com/ho-tex/intcalc/issues
+%
+% This work may be distributed and/or modified under the
+% conditions of the LaTeX Project Public License, either
+% version 1.3c of this license or (at your option) any later
+% version. This version of this license is in
+% https://www.latex-project.org/lppl/lppl-1-3c.txt
+% and the latest version of this license is in
+% https://www.latex-project.org/lppl.txt
+% and version 1.3 or later is part of all distributions of
+% LaTeX version 2005/12/01 or later.
+%
+% This work has the LPPL maintenance status "maintained".
+%
+% The Current Maintainers of this work are
+% Heiko Oberdiek and the Oberdiek Package Support Group
+% https://github.com/ho-tex/intcalc/issues
+%
+% The Base Interpreter refers to any `TeX-Format',
+% because some files are installed in TDS:tex/generic//.
+%
+% This work consists of the main source file intcalc.dtx
+% and the derived files
+% intcalc.sty, intcalc.pdf, intcalc.ins, intcalc.drv,
+% intcalc-test1.tex, intcalc-test2.tex, intcalc-test3.tex,
+% intcalc-test4.tex.
+%
+% Distribution:
+% CTAN:macros/latex/contrib/intcalc/intcalc.dtx
+% CTAN:macros/latex/contrib/intcalc/intcalc.pdf
+%
+% Unpacking:
+% (a) If intcalc.ins is present:
+% tex intcalc.ins
+% (b) Without intcalc.ins:
+% tex intcalc.dtx
+% (c) If you insist on using LaTeX
+% latex \let\install=y\input{intcalc.dtx}
+% (quote the arguments according to the demands of your shell)
+%
+% Documentation:
+% (a) If intcalc.drv is present:
+% latex intcalc.drv
+% (b) Without intcalc.drv:
+% latex intcalc.dtx; ...
+% The class ltxdoc loads the configuration file ltxdoc.cfg
+% if available. Here you can specify further options, e.g.
+% use A4 as paper format:
+% \PassOptionsToClass{a4paper}{article}
+%
+% Programm calls to get the documentation (example):
+% pdflatex intcalc.dtx
+% makeindex -s gind.ist intcalc.idx
+% pdflatex intcalc.dtx
+% makeindex -s gind.ist intcalc.idx
+% pdflatex intcalc.dtx
+%
+% Installation:
+% TDS:tex/generic/intcalc/intcalc.sty
+% TDS:doc/latex/intcalc/intcalc.pdf
+% TDS:source/latex/intcalc/intcalc.dtx
+%
+%<*ignore>
+\begingroup
+ \catcode123=1 %
+ \catcode125=2 %
+ \def\x{LaTeX2e}%
+\expandafter\endgroup
+\ifcase 0\ifx\install y1\fi\expandafter
+ \ifx\csname processbatchFile\endcsname\relax\else1\fi
+ \ifx\fmtname\x\else 1\fi\relax
+\else\csname fi\endcsname
+%</ignore>
+%<*install>
+\input docstrip.tex
+\Msg{************************************************************************}
+\Msg{* Installation}
+\Msg{* Package: intcalc 2019/12/15 v1.3 Expandable calculations with integers (HO)}
+\Msg{************************************************************************}
+
+\keepsilent
+\askforoverwritefalse
+
+\let\MetaPrefix\relax
+\preamble
+
+This is a generated file.
+
+Project: intcalc
+Version: 2019/12/15 v1.3
+
+Copyright (C)
+ 2007 Heiko Oberdiek
+ 2016-2019 Oberdiek Package Support Group
+
+This work may be distributed and/or modified under the
+conditions of the LaTeX Project Public License, either
+version 1.3c of this license or (at your option) any later
+version. This version of this license is in
+ https://www.latex-project.org/lppl/lppl-1-3c.txt
+and the latest version of this license is in
+ https://www.latex-project.org/lppl.txt
+and version 1.3 or later is part of all distributions of
+LaTeX version 2005/12/01 or later.
+
+This work has the LPPL maintenance status "maintained".
+
+The Current Maintainers of this work are
+Heiko Oberdiek and the Oberdiek Package Support Group
+https://github.com/ho-tex/intcalc/issues
+
+
+The Base Interpreter refers to any `TeX-Format',
+because some files are installed in TDS:tex/generic//.
+
+This work consists of the main source file intcalc.dtx
+and the derived files
+ intcalc.sty, intcalc.pdf, intcalc.ins, intcalc.drv,
+ intcalc-test1.tex, intcalc-test2.tex, intcalc-test3.tex,
+ intcalc-test4.tex.
+
+\endpreamble
+\let\MetaPrefix\DoubleperCent
+
+\generate{%
+ \file{intcalc.ins}{\from{intcalc.dtx}{install}}%
+ \file{intcalc.drv}{\from{intcalc.dtx}{driver}}%
+ \usedir{tex/generic/intcalc}%
+ \file{intcalc.sty}{\from{intcalc.dtx}{package}}%
+}
+
+\catcode32=13\relax% active space
+\let =\space%
+\Msg{************************************************************************}
+\Msg{*}
+\Msg{* To finish the installation you have to move the following}
+\Msg{* file into a directory searched by TeX:}
+\Msg{*}
+\Msg{* intcalc.sty}
+\Msg{*}
+\Msg{* To produce the documentation run the file `intcalc.drv'}
+\Msg{* through LaTeX.}
+\Msg{*}
+\Msg{* Happy TeXing!}
+\Msg{*}
+\Msg{************************************************************************}
+
+\endbatchfile
+%</install>
+%<*ignore>
+\fi
+%</ignore>
+%<*driver>
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesFile{intcalc.drv}%
+ [2019/12/15 v1.3 Expandable calculations with integers (HO)]%
+\documentclass{ltxdoc}
+\usepackage{wasysym}
+\let\iint\relax
+\let\iiint\relax
+\usepackage[fleqn]{amsmath}
+
+\DeclareMathOperator{\opInv}{Inv}
+\DeclareMathOperator{\opAbs}{Abs}
+\DeclareMathOperator{\opSgn}{Sgn}
+\DeclareMathOperator{\opMin}{Min}
+\DeclareMathOperator{\opMax}{Max}
+\DeclareMathOperator{\opCmp}{Cmp}
+\DeclareMathOperator{\opInc}{Inc}
+\DeclareMathOperator{\opDec}{Dec}
+\DeclareMathOperator{\opAdd}{Add}
+\DeclareMathOperator{\opSub}{Sub}
+\DeclareMathOperator{\opShl}{Shl}
+\DeclareMathOperator{\opShr}{Shr}
+\DeclareMathOperator{\opMul}{Mul}
+\DeclareMathOperator{\opSqr}{Sqr}
+\DeclareMathOperator{\opFac}{Fac}
+\DeclareMathOperator{\opPow}{Pow}
+\DeclareMathOperator{\opDiv}{Div}
+\DeclareMathOperator{\opMod}{Mod}
+\DeclareMathOperator{\opInt}{Int}
+\DeclareMathOperator{\opOdd}{ifodd}
+
+\newcommand*{\Def}{%
+ \ensuremath{%
+ \mathrel{\mathop{:}}=%
+ }%
+}
+\newcommand*{\op}[1]{%
+ \textsf{#1}%
+}
+\usepackage{holtxdoc}[2011/11/22]
+\begin{document}
+ \DocInput{intcalc.dtx}%
+\end{document}
+%</driver>
+% \fi
+%
+%
+%
+% \GetFileInfo{intcalc.drv}
+%
+% \title{The \xpackage{intcalc} package}
+% \date{2019/12/15 v1.3}
+% \author{Heiko Oberdiek\thanks
+% {Please report any issues at \url{https://github.com/ho-tex/intcalc/issues}}}
+%
+% \maketitle
+%
+% \begin{abstract}
+% This package provides expandable arithmetic operations
+% with integers.
+% \end{abstract}
+%
+% \tableofcontents
+%
+% \section{Documentation}
+%
+% \subsection{Introduction}
+%
+% Package \xpackage{intcalc} defines arithmetic operations
+% that deal with integers. Integers mean numbers in \TeX.
+% The same restrictions apply, the range is limited to
+% [-2147483647, 2147483647].
+%
+% The operations have the form of macros that take one or
+% two integers as parameter and return the integer result.
+% The macro name is a three letter operation name prefixed
+% by the package name, e.g. \cs{intcalcAdd}|{10}{43}| returns
+% |53|.
+%
+% The macros are fully expandable, exactly two expansion
+% steps generate the result. Therefore the operations
+% may be used nearly everywhere in \TeX, even inside
+% \cs{number}, \cs{csname}, file names, or other
+% expandable contexts.
+%
+% The package contains two implementations of the operations.
+% If \eTeX\ is detected then the macros are implemented
+% using its features (\cs{numexpr}). Otherwise the slower
+% implementation without \eTeX's help is choosen.
+%
+% \subsection{Conditions}
+%
+% \subsubsection{Preconditions}
+%
+% \begin{itemize}
+% \item
+% Arguments can be anything that \TeX\ interprets as ``number''.
+% Examples: plain numbers, count or length register, macros
+% that expands to a number.
+% \item
+% The arguments are limited to the range
+% -2147483647 until 2147483647. These numbers belong to the range.
+% Note that some operations
+% have additionals restrictions to the range.
+% \item
+% The argument may be expressions that \cs{numexpr}
+% understands if \eTeX\ is available.
+% \item
+% The resulting number must fit in the allowed range.
+% \end{itemize}
+%
+% \subsubsection{Postconditions}
+%
+% Additional properties of the macros apart from calculating
+% a correct result (of course \smiley):
+% \begin{itemize}
+% \item
+% The macros are fully expandable. Thus they can
+% be used inside \cs{edef}, \cs{csname}, after \cs{number},
+% for example.
+% \item
+% Furthermore exactly two expansion steps calculate the result.
+% \item
+% The number consists of one optional minus sign and one to
+% ten digits. The first digit is larger than zero for
+% numbers that consists of more than one digit.
+%
+% In short, the number format is exactly the same as
+% \cs{number} generates. And the tokens (minus sign, digits)
+% have catcode 12 (other).
+% \item
+% Call by value is simulated. First the arguments are
+% converted to numbers. Then these numbers are used
+% in the calculations.
+%
+% Remember that arguments
+% may contain expensive macros or \eTeX\ expressions.
+% This strategy avoids multiple evaluations of such
+% arguments.
+% \end{itemize}
+%
+% \subsection{Error handling}
+%
+% There are two kinds of errors if a precondition is violated:
+% Some errors are detected by the macros, example: division by zero.
+% In this cases an undefined control sequence is called and causes
+% a TeX error message, example: \cs{IntCalcError:DivisionByZero}.
+% The name of the control sequence contains
+% the reason for the error. The \TeX\ error may be ignored.
+% Then the operation returns zero as result.
+% Because the macros are supposed to work in expandible contexts.
+% An traditional error message, however, is not expandable and
+% would break these contexts.
+%
+% If a number exceeds the range of -2147483647 until 2147483647, then
+% \TeX\ throws an error ``Number too big'' and recovers by
+% using biggest allowed value.
+% Example for the negative number -3000000000 is replaced
+% by -2147483647.
+%
+% \subsection{Operations}
+%
+% Some definition equations below use the function $\opInt$
+% that converts a real number to an integer. The number
+% is truncated that means rounding to zero:
+% \begin{gather*}
+% \opInt(x) \Def
+% \begin{cases}
+% \lfloor x\rfloor & \text{if $x\geq0$}\\
+% \lceil x\rceil & \text{otherwise}
+% \end{cases}
+% \end{gather*}
+%
+% \subsubsection{\op{Num}}
+%
+% \begin{declcs}{intcalcNum} \M{x}
+% \end{declcs}
+% Macro \cs{intcalcNum} converts its argument to a normalized integer
+% number without unnecessary leading zeros or signs.
+% The result matches the regular expression:
+%\begin{quote}
+%\begin{verbatim}
+%0|-?[1-9][0-9]*
+%\end{verbatim}
+%\end{quote}
+%
+% \subsubsection{\op{Inv}, \op{Abs}, \op{Sgn}}
+%
+% \begin{declcs}{intcalcInv} \M{x}
+% \end{declcs}
+% Macro \cs{intcalcInv} switches the sign.
+% \begin{gather*}
+% \opInv(x) \Def -x
+% \end{gather*}
+%
+% \begin{declcs}{intcalcAbs} \M{x}
+% \end{declcs}
+% Macro \cs{intcalcAbs} returns the absolute value
+% of integer \meta{x}.
+% \begin{gather*}
+% \opAbs(x) \Def \vert x\vert
+% \end{gather*}
+%
+% \begin{declcs}{intcalcSgn} \M{x}
+% \end{declcs}
+% Macro \cs{intcalcSgn} encodes the sign of \meta{x} as number.
+% \begin{gather*}
+% \opSgn(x) \Def
+% \begin{cases}
+% -1& \text{if $x<0$}\\
+% 0& \text{if $x=0$}\\
+% 1& \text{if $x>0$}
+% \end{cases}
+% \end{gather*}
+% These return values can easily be distinguished by \cs{ifcase}:
+%\begin{quote}
+%\begin{verbatim}
+%\ifcase\intcalcSgn{<x>}
+% $x=0$
+%\or
+% $x>0$
+%\else
+% $x<0$
+%\fi
+%\end{verbatim}
+%\end{quote}
+%
+% \subsubsection{\op{Min}, \op{Max}, \op{Cmp}}
+%
+% \begin{declcs}{intcalcMin} \M{x} \M{y}
+% \end{declcs}
+% Macro \cs{intcalcMin} returns the smaller of the two integers.
+% \begin{gather*}
+% \opMin(x,y) \Def
+% \begin{cases}
+% x & \text{if $x<y$}\\
+% y & \text{otherwise}
+% \end{cases}
+% \end{gather*}
+%
+% \begin{declcs}{intcalcMax} \M{x} \M{y}
+% \end{declcs}
+% Macro \cs{intcalcMax} returns the larger of the two integers.
+% \begin{gather*}
+% \opMax(x,y) \Def
+% \begin{cases}
+% x & \text{if $x>y$}\\
+% y & \text{otherwise}
+% \end{cases}
+% \end{gather*}
+%
+% \begin{declcs}{intcalcCmp} \M{x} \M{y}
+% \end{declcs}
+% Macro \cs{intcalcCmp} encodes the comparison result as number:
+% \begin{gather*}
+% \opCmp(x,y) \Def
+% \begin{cases}
+% -1 & \text{if $x<y$}\\
+% 0 & \text{if $x=y$}\\
+% 1 & \text{if $x>y$}
+% \end{cases}
+% \end{gather*}
+% These values can be distinguished by \cs{ifcase}:
+%\begin{quote}
+%\begin{verbatim}
+%\ifcase\intcalcCmp{<x>}{<y>}
+% $x=y$
+%\or
+% $x>y$
+%\else
+% $x<y$
+%\fi
+%\end{verbatim}
+%\end{quote}
+%
+% \subsubsection{\op{Inc}, \op{Dec}, \op{Add}, \op{Sub}}
+%
+% \begin{declcs}{intcalcInc} \M{x}
+% \end{declcs}
+% Macro \cs{intcalcInc} increments \meta{x} by one.
+% \begin{gather*}
+% \opInc(x) \Def x + 1
+% \end{gather*}
+%
+% \begin{declcs}{intcalcDec} \M{x}
+% \end{declcs}
+% Macro \cs{intcalcDec} decrements \meta{x} by one.
+% \begin{gather*}
+% \opDec(x) \Def x - 1
+% \end{gather*}
+%
+% \begin{declcs}{intcalcAdd} \M{x} \M{y}
+% \end{declcs}
+% Macro \cs{intcalcAdd} adds the two numbers.
+% \begin{gather*}
+% \opAdd(x, y) \Def x + y
+% \end{gather*}
+%
+% \begin{declcs}{intcalcSub} \M{x} \M{y}
+% \end{declcs}
+% Macro \cs{intcalcSub} calculates the difference.
+% \begin{gather*}
+% \opSub(x, y) \Def x - y
+% \end{gather*}
+%
+% \subsubsection{\op{Shl}, \op{Shr}}
+%
+% \begin{declcs}{intcalcShl} \M{x}
+% \end{declcs}
+% Macro \cs{intcalcShl} implements shifting to the left that
+% means the number is multiplied by two. Overflow is possible.
+% The sign is preserved.
+% \begin{gather*}
+% \opShl(x) \Def x*2
+% \end{gather*}
+%
+% \begin{declcs}{intcalcShr} \M{x}
+% \end{declcs}
+% Macro \cs{intcalcShr} implements shifting to the right.
+% That is equivalent to an integer division by two.
+% The sign is preserved.
+% \begin{gather*}
+% \opShr(x) \Def \opInt(x/2)
+% \end{gather*}
+%
+% \subsubsection{\op{Mul}, \op{Sqr}, \op{Fac}, \op{Pow}}
+%
+% \begin{declcs}{intcalcMul} \M{x} \M{y}
+% \end{declcs}
+% Macro \cs{intcalcMul} calculates the product of
+% \meta{x} and \meta{y}.
+% \begin{gather*}
+% \opMul(x,y) \Def x*y
+% \end{gather*}
+%
+% \begin{declcs}{intcalcSqr} \M{x}
+% \end{declcs}
+% Macro \cs{intcalcSqr} returns the square product.
+% \begin{gather*}
+% \opSqr(x) \Def x^2
+% \end{gather*}
+%
+% \begin{declcs}{intcalcFac} \M{x}
+% \end{declcs}
+% Macro \cs{intcalcFac} returns the factorial of \meta{x}.
+% Negative numbers are not permitted.
+% \begin{gather*}
+% \opFac(x) \Def x!\qquad\text{for $x\geq0$}
+% \end{gather*}
+% ($0! = 1$)
+%
+% \begin{declcs}{intcalcPow} \M{x} \M{y}
+% \end{declcs}
+% Macro \cs{intcalcPow} calculates the value of \meta{x} to the
+% power of \meta{y}. The error ``division by zero'' is thrown
+% if \meta{x} is zero and \meta{y} is negative.
+% permitted:
+% \begin{gather*}
+% \opPow(x,y) \Def
+% \opInt(x^y)\qquad\text{for $x\neq0$ or $y\geq0$}
+% \end{gather*}
+% ($0^0 = 1$)
+%
+% \subsubsection{\op{Div}, \op{Mod}}
+%
+% \begin{declcs}{intcalcDiv} \M{x} \M{y}
+% \end{declcs}
+% Macro \cs{intcalcDiv} performs an integer division.
+% Argument \meta{y} must not be zero.
+% \begin{gather*}
+% \opDiv(x,y) \Def \opInt(x/y)\qquad\text{for $y\neq0$}
+% \end{gather*}
+%
+% \begin{declcs}{intcalcMod} \M{x} \M{y}
+% \end{declcs}
+% Macro \cs{intcalcMod} gets the remainder of the integer
+% division. The sign follows the divisor \meta{y}.
+% Argument \meta{y} must not be zero.
+% \begin{gather*}
+% \opMod(x,y) \Def x\mathrel{\%}y\qquad\text{for $y\neq0$}
+% \end{gather*}
+% The result ranges:
+% \begin{gather*}
+% -\vert y\vert < \opMod(x,y) \leq 0\qquad\text{for $y<0$}\\
+% 0 \leq \opMod(x,y) < y\qquad\text{for $y\geq0$}
+% \end{gather*}
+%
+% \subsection{Interface for programmer}
+%
+% If the programmer can ensure some more properties about
+% the arguments of the operations, then the following
+% macros are a little more efficient.
+%
+% In general numbers must obey the following constraints:
+% \begin{itemize}
+% \item Plain number: digit tokens only, no command tokens.
+% \item Non-negative. Signs are forbidden.
+% \item Arguments and the result must fit in range |0..2147483647|.
+% \item Delimited by exclamation mark. Curly braces
+% around the number are not allowed and will
+% break the code.
+% \end{itemize}
+%
+% \begin{declcs}{IntCalcInc} \meta{number} |!|
+% \end{declcs}
+% Incrementation, range: |0..2147483646|.
+%
+% \begin{declcs}{IntCalcDec} \meta{number} |!|
+% \end{declcs}
+% Decrementation, range: |1..2147483647|.
+%
+% \begin{declcs}{IntCalcAdd} \meta{number A} |!| \meta{number B} |!|
+% \end{declcs}
+% Addition, $A\geq B$.
+%
+% \begin{declcs}{IntCalcSub} \meta{number A} |!| \meta{number B} |!|
+% \end{declcs}
+% Subtraction, $A\geq B$.
+%
+% \begin{declcs}{IntCalcShl} \meta{number} |!|
+% \end{declcs}
+% Left shift (multiplication with two), range: |0..1073741823|.
+%
+% \begin{declcs}{IntCalcShr} \meta{number} |!|
+% \end{declcs}
+% Right shift (integer division by two).
+%
+% \begin{declcs}{IntCalcMul} \meta{number A} |!| \meta{number B} |!|
+% \end{declcs}
+% Multiplication, $A\geq B$.
+%
+% \begin{declcs}{IntCalcDiv} \meta{number A} |!| \meta{number B} |!|
+% \end{declcs}
+% Division operation.
+%
+% \begin{declcs}{IntCalcMod} \meta{number A} |!| \meta{number B} |!|
+% \end{declcs}
+% Modulo operation.
+%
+%
+% \StopEventually{
+% }
+%
+% \section{Implementation}
+%
+% \begin{macrocode}
+%<*package>
+% \end{macrocode}
+%
+% \subsection{Reload check and package identification}
+% Reload check, especially if the package is not used with \LaTeX.
+% \begin{macrocode}
+\begingroup\catcode61\catcode48\catcode32=10\relax%
+ \catcode13=5 % ^^M
+ \endlinechar=13 %
+ \catcode35=6 % #
+ \catcode39=12 % '
+ \catcode44=12 % ,
+ \catcode45=12 % -
+ \catcode46=12 % .
+ \catcode58=12 % :
+ \catcode64=11 % @
+ \catcode123=1 % {
+ \catcode125=2 % }
+ \expandafter\let\expandafter\x\csname ver at intcalc.sty\endcsname
+ \ifx\x\relax % plain-TeX, first loading
+ \else
+ \def\empty{}%
+ \ifx\x\empty % LaTeX, first loading,
+ % variable is initialized, but \ProvidesPackage not yet seen
+ \else
+ \expandafter\ifx\csname PackageInfo\endcsname\relax
+ \def\x#1#2{%
+ \immediate\write-1{Package #1 Info: #2.}%
+ }%
+ \else
+ \def\x#1#2{\PackageInfo{#1}{#2, stopped}}%
+ \fi
+ \x{intcalc}{The package is already loaded}%
+ \aftergroup\endinput
+ \fi
+ \fi
+\endgroup%
+% \end{macrocode}
+% Package identification:
+% \begin{macrocode}
+\begingroup\catcode61\catcode48\catcode32=10\relax%
+ \catcode13=5 % ^^M
+ \endlinechar=13 %
+ \catcode35=6 % #
+ \catcode39=12 % '
+ \catcode40=12 % (
+ \catcode41=12 % )
+ \catcode44=12 % ,
+ \catcode45=12 % -
+ \catcode46=12 % .
+ \catcode47=12 % /
+ \catcode58=12 % :
+ \catcode64=11 % @
+ \catcode91=12 % [
+ \catcode93=12 % ]
+ \catcode123=1 % {
+ \catcode125=2 % }
+ \expandafter\ifx\csname ProvidesPackage\endcsname\relax
+ \def\x#1#2#3[#4]{\endgroup
+ \immediate\write-1{Package: #3 #4}%
+ \xdef#1{#4}%
+ }%
+ \else
+ \def\x#1#2[#3]{\endgroup
+ #2[{#3}]%
+ \ifx#1\@undefined
+ \xdef#1{#3}%
+ \fi
+ \ifx#1\relax
+ \xdef#1{#3}%
+ \fi
+ }%
+ \fi
+\expandafter\x\csname ver at intcalc.sty\endcsname
+\ProvidesPackage{intcalc}%
+ [2019/12/15 v1.3 Expandable calculations with integers (HO)]%
+% \end{macrocode}
+%
+% \subsection{Catcodes}
+%
+% \begin{macrocode}
+\begingroup\catcode61\catcode48\catcode32=10\relax%
+ \catcode13=5 % ^^M
+ \endlinechar=13 %
+ \catcode123=1 % {
+ \catcode125=2 % }
+ \catcode64=11 % @
+ \def\x{\endgroup
+ \expandafter\edef\csname InCa at AtEnd\endcsname{%
+ \endlinechar=\the\endlinechar\relax
+ \catcode13=\the\catcode13\relax
+ \catcode32=\the\catcode32\relax
+ \catcode35=\the\catcode35\relax
+ \catcode61=\the\catcode61\relax
+ \catcode64=\the\catcode64\relax
+ \catcode123=\the\catcode123\relax
+ \catcode125=\the\catcode125\relax
+ }%
+ }%
+\x\catcode61\catcode48\catcode32=10\relax%
+\catcode13=5 % ^^M
+\endlinechar=13 %
+\catcode35=6 % #
+\catcode64=11 % @
+\catcode123=1 % {
+\catcode125=2 % }
+\def\TMP at EnsureCode#1#2{%
+ \edef\InCa at AtEnd{%
+ \InCa at AtEnd
+ \catcode#1=\the\catcode#1\relax
+ }%
+ \catcode#1=#2\relax
+}
+\TMP at EnsureCode{33}{12}% !
+\TMP at EnsureCode{40}{12}% (
+\TMP at EnsureCode{41}{12}% )
+\TMP at EnsureCode{42}{12}% *
+\TMP at EnsureCode{43}{12}% +
+\TMP at EnsureCode{45}{12}% -
+\TMP at EnsureCode{47}{12}% /
+\TMP at EnsureCode{58}{11}% : (letter!)
+\TMP at EnsureCode{60}{12}% <
+\TMP at EnsureCode{62}{12}% >
+\TMP at EnsureCode{63}{14}% ? (comment!)
+\edef\InCa at AtEnd{\InCa at AtEnd\noexpand\endinput}
+\begingroup\expandafter\expandafter\expandafter\endgroup
+\expandafter\ifx\csname InCa at TestMode\endcsname\relax
+\else
+ \catcode63=9 % ? (ignore)
+\fi
+? \let\InCa@@TestMode\InCa at TestMode
+% \end{macrocode}
+%
+% \subsection{Macros independent of \eTeX}
+%
+% \subsubsection{\op{Abs}, \op{Sgn}}
+%
+% \begin{macro}{\InCa at Abs}
+% \begin{macrocode}
+\def\InCa at Abs#1#2!{%
+ \ifx#1-%
+ #2%
+ \else
+ #1#2%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\InCa at Sgn}
+% \begin{macrocode}
+\def\InCa at Sgn#1#2!{%
+ \ifx#1-%
+ -1%
+ \else
+ \ifx#10%
+ 0%
+ \else
+ 1%
+ \fi
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Min}, \op{Max}, \op{Cmp}}
+%
+% \begin{macro}{\InCa at Min}
+% \begin{macrocode}
+\def\InCa at Min#1!#2!{%
+ \ifnum#1<#2 %
+ #1%
+ \else
+ #2%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\InCa at Max}
+% \begin{macrocode}
+\def\InCa at Max#1!#2!{%
+ \ifnum#1>#2 %
+ #1%
+ \else
+ #2%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\InCa at Cmp}
+% \begin{macrocode}
+\def\InCa at Cmp#1!#2!{%
+ \ifnum#1=#2 %
+ 0%
+ \else
+ \ifnum#1<#2 %
+ -%
+ \fi
+ 1%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Fac}}
+%
+% \begin{macro}{\InCa at Fac}
+% It does not make much sense to calculate the
+% faculty by an general algorithm. The allowed
+% range of arguments is too low because of the
+% limited integer domain.
+% \begin{macrocode}
+\def\InCa at Fac#1!{%
+ \ifcase#1 1% 0!
+ \or 1% 1!
+ \or 2% 2!
+ \or 6% 3!
+ \or 24% 4!
+ \or 120% 5!
+ \or 720% 6!
+ \or 5040% 7!
+ \or 40320% 8!
+ \or 362880% 9!
+ \or 3628800% 10!
+ \or 39916800% 11!
+ \or 479001600% 12!
+ \else
+ \ifnum#1<\z@
+ 0\IntCalcError:FacNegative%
+ \else
+ 0\IntCalcError:FacOverflow%
+ \fi
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsection{Implementation based on \eTeX}
+%
+% Only \cs{numexpr} is used from \eTeX.
+% \begin{macrocode}
+\begingroup\expandafter\expandafter\expandafter\endgroup
+\expandafter\ifx\csname numexpr\endcsname\relax
+\else
+% \end{macrocode}
+%
+% \subsubsection{\op{Num}}
+%
+% \begin{macro}{\intcalcNum}
+% \begin{macrocode}
+ \def\intcalcNum#1{%
+ \the\numexpr#1\relax
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Inv}, \op{Abs}, \op{Sgn}}
+%
+% \begin{macro}{\intcalcInv}
+% \begin{macrocode}
+ \def\intcalcInv#1{%
+ \number-\intcalcNum{#1} %
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\intcalcAbs}
+% \begin{macrocode}
+ \def\intcalcAbs#1{%
+ \number\expandafter\InCa at Abs\the\numexpr#1! %
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\intcalcSgn}
+% \begin{macrocode}
+ \def\intcalcSgn#1{%
+ \number\expandafter\InCa at Sgn\the\numexpr#1! %
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Min}, \op{Max}, \op{Cmp}}
+%
+% \begin{macro}{\intcalcMin}
+% \begin{macrocode}
+ \def\intcalcMin#1#2{%
+ \number\expandafter\InCa at Min
+ \the\numexpr#1\expandafter!%
+ \the\numexpr#2! %
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\intcalcMax}
+% \begin{macrocode}
+ \def\intcalcMax#1#2{%
+ \number\expandafter\InCa at Max
+ \the\numexpr#1\expandafter!%
+ \the\numexpr#2! %
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\intcalcCmp}
+% \begin{macrocode}
+ \def\intcalcCmp#1#2{%
+ \number\expandafter\InCa at Cmp
+ \the\numexpr#1\expandafter!\the\numexpr#2! %
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Inc}, \op{Dec}}
+%
+% \begin{macro}{\intcalcInc}
+% \begin{macrocode}
+ \def\intcalcInc#1{%
+ \the\numexpr#1+1\relax
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\intcalcDec}
+% \begin{macrocode}
+ \def\intcalcDec#1{%
+ \the\numexpr#1-1\relax
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\IntCalcInc}
+% \begin{macrocode}
+ \def\IntCalcInc#1!{%
+ \the\numexpr#1+1\relax
+ }%
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\IntCalcDec}
+% \begin{macrocode}
+ \def\IntCalcDec#1!{%
+ \the\numexpr#1-1\relax
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Add}, \op{Sub}}
+%
+% \begin{macro}{\intcalcAdd}
+% \begin{macrocode}
+ \def\intcalcAdd#1#2{%
+ \the\numexpr#1+(#2)\relax
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\intcalcSub}
+% \begin{macrocode}
+ \def\intcalcSub#1#2{%
+ \the\numexpr#1-(#2)\relax
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\IntCalcAdd}
+% \begin{macrocode}
+ \def\IntCalcAdd#1!#2!{%
+ \the\numexpr#1+#2\relax
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\IntCalcSub}
+% \begin{macrocode}
+ \def\IntCalcSub#1!#2!{%
+ \the\numexpr#1-#2\relax
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Shl}, \op{Shr}}
+%
+% \begin{macro}{\intcalcShl}
+% \begin{macrocode}
+ \def\intcalcShl#1{%
+ \the\numexpr(#1)*2\relax
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\intcalcShr}
+% \begin{macrocode}
+ \def\intcalcShr#1{%
+ \number\expandafter\InCa at Shr\the\numexpr#1! %
+ }%
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\IntCalcShl}
+% \begin{macrocode}
+ \def\IntCalcShl#1!{%
+ \the\numexpr#1*2\relax
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\IntCalcShr}
+% \begin{macrocode}
+ \def\IntCalcShr#1!{%
+ \the\numexpr\ifodd#1 (#1-1)\else#1\fi/2\relax
+ }%
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at Shr}
+% \begin{macrocode}
+ \def\InCa at Shr#1#2!{%
+ \ifx#1-%
+ -\InCa at Shr#2!%
+ \else
+ \ifodd#1#2 %
+ \the\numexpr(#1#2-1)/2\relax
+ \else
+ \the\numexpr#1#2/2\relax
+ \fi
+ \fi
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Mul}, \op{Sqr}, \op{Fac}}
+%
+% \begin{macro}{\intcalcMul}
+% \begin{macrocode}
+ \def\intcalcMul#1#2{%
+ \the\numexpr(#1)*(#2)\relax
+ }%
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\IntCalcMul}
+% \begin{macrocode}
+ \def\IntCalcMul#1!#2!{%
+ \the\numexpr#1*#2\relax
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\intcalcSqr}
+% \begin{macrocode}
+ \def\intcalcSqr#1{%
+ \number\expandafter\InCa at Sqr\the\numexpr#1! %
+ }%
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at Sqr}
+% \begin{macrocode}
+ \def\InCa at Sqr#1!{%
+ \the\numexpr#1*#1\relax
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\intcalcFac}
+% \begin{macrocode}
+ \def\intcalcFac#1{%
+ \number\expandafter\InCa at Fac\the\numexpr#1! %
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Pow}}
+%
+% \begin{macro}{\intcalcPow}
+% \begin{macrocode}
+ \def\intcalcPow#1#2{%
+ \number\expandafter\InCa at Pow
+ \the\numexpr#1\expandafter!%
+ \the\numexpr#2! %
+ }%
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at Pow}
+% \begin{macrocode}
+ \def\InCa at Pow#1#2!#3#4!{%
+ \ifcase#3#4 % power = 0
+ 1%
+ \or % power = 1
+ #1#2%
+ \or % power = 2
+ \the\numexpr#1#2*#1#2\relax
+ \else
+ \ifcase#1#2 % basis = 0, power <> 0
+ 0%
+ \ifx#3-% power < 0
+ 0\IntCalcError:DivisionByZero%
+ \fi
+ \or
+ 1% basis = 1
+ \else
+ \ifnum#1#2=\m at ne % basis = -1
+ \ifodd#3#4 %
+ -%
+ \fi
+ 1%
+ \else % |basis| > 1
+ \ifx#3-% power < 0
+ 0%
+ \else % power > 2
+ \InCa at PowRec#1#2!#3#4!1!%
+ \fi
+ \fi
+ \fi
+ \fi
+ }%
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at PowRec}
+%\begin{quote}
+%\begin{verbatim}
+%Pow(b, p) {
+% PowRec(b, p, 1)
+%}
+%PowRec(b, p, r) {
+% if p == 1 then
+% return r*b
+% else
+% ifodd p then
+% return PowRec(b*b, (p-1)/2, r*b) % p div 2 = (p-1)/2
+% else
+% return PowRec(b*b, (p-1)/2, r)
+% fi
+% fi
+%}
+%\end{verbatim}
+%\end{quote}
+% \begin{macrocode}
+ \def\InCa at PowRec#1!#2!#3!{%
+ \ifnum#2=\@ne
+ \the\numexpr#1*#3\relax
+ \else
+ \ifodd#2 %
+ \expandafter\InCa at PowRec
+ \the\numexpr#1*#1\expandafter!%
+ \the\numexpr(#2-1)/2\expandafter!%
+ \the\numexpr#1*#3\expandafter\expandafter\expandafter!%
+ \else
+ \expandafter\InCa at PowRec
+ \the\numexpr#1*#1\expandafter!%
+ \the\numexpr(#2-1)/2\expandafter!%
+ \number#3\expandafter\expandafter\expandafter!%
+ \fi
+ \fi
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Div}, \op{Mod}}
+%
+% \TeX's \cs{divide} truncates,
+% \eTeX's \cs{numexpr} rounds the result of a division.
+% The rounding method is called ``Symmetric Arithmetic Rounding''
+% or ``Round-Half-Up'' (``Kaufm\"annisches Runden'' in German):
+% \begin{quote}
+% | 1 = 3 divide 2 = 1.5 = numexpr 3/2 = 2|\\
+% |-1 = -3 divide 2 = -1.5 = numexpr -3/2 = -2|
+% \end{quote}
+% Macro \cs{intcalcDiv} follows \TeX\ and truncates.
+% The calculation is done by the following formula:
+% \begin{gather}
+% \opDiv(X,Y) = (X - (Y-1)/2)/Y\qquad\text{for $X, Y > 0$}
+% \end{gather}
+% The operator `/' is \cs{numexpr}'s division.
+% \begin{macro}{\intcalcDiv}
+% \begin{macrocode}
+ \def\intcalcDiv#1#2{%
+ \number\expandafter\InCa at Div
+ \the\numexpr#1\expandafter!%
+ \the\numexpr#2! %
+ }%
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at Div}
+% \begin{macrocode}
+ \def\InCa at Div#1!#2!{%
+ \ifcase#2 %
+ 0\IntCalcError:DivisionByZero%
+ \else
+ \ifcase#1 %
+ 0%
+ \else
+ \expandafter\InCa@@Div
+ \romannumeral 0%
+ \ifnum#1<\z@
+ \expandafter-\number-#1%
+ \else
+ \expandafter+\number#1%
+ \fi
+ \expandafter!%
+ \romannumeral 0%
+ \ifnum#2<\z@
+ \expandafter-\number-#2%
+ \else
+ \expandafter+\number#2%
+ \fi
+ !%
+ \fi
+ \fi
+ }%
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\IntCalcDiv}
+% \begin{macrocode}
+ \def\InCa at Temp#1{%
+ \def\IntCalcDiv##1!##2!{%
+ \number
+ \ifcase##2 %
+ 0\IntCalcError:DivisionByZero%
+ \else
+ \ifcase##1 %
+ 0%
+ \else
+ \the\numexpr(##1-(##2-1)/2)/##2\relax
+ \fi
+ \fi
+ #1%
+ }%
+ }%
+ \InCa at Temp{ }%
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa@@Div}
+% \begin{macrocode}
+ \def\InCa@@Div#1#2!#3#4!{%
+ #1#3%
+ \the\numexpr(#2-(#4-1)/2)/#4\relax
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\intcalcMod}
+% \begin{macrocode}
+ \def\intcalcMod#1#2{%
+ \number\expandafter\InCa at Mod
+ \the\numexpr#1\expandafter!%
+ \the\numexpr#2! %
+ }%
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at Mod}
+% \begin{macrocode}
+ \def\InCa at Mod#1!#2!{%
+ \ifcase#2 %
+ 0\IntCalcError:DivisionByZero%
+ \else
+ \ifcase#1 %
+ 0%
+ \else
+ \expandafter\InCa@@Mod
+ \romannumeral 0%
+ \ifnum#1<\z@
+ \expandafter-\number-#1%
+ \else
+ \expandafter+\number#1%
+ \fi
+ \expandafter!%
+ \romannumeral 0%
+ \ifnum#2<\z@
+ \expandafter-\number-#2%
+ \else
+ \expandafter+\number#2%
+ \fi
+ !%
+ \fi
+ \fi
+ }%
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\IntCalcMod}
+% \begin{macrocode}
+ \def\InCa at Temp#1{%
+ \def\IntCalcMod##1!##2!{%
+ \number
+ \ifcase##2 %
+ 0\IntCalcError:DivisionByZero%
+ \else
+ \ifcase##1 %
+ 0%
+ \else
+ \the\numexpr##1-(##1-(##2-1)/2)/##2*##2\relax
+ \fi
+ \fi
+ #1%
+ }%
+ }%
+ \InCa at Temp{ }%
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa@@Mod}
+% \begin{macrocode}
+ \def\InCa@@Mod#1#2!#3#4!{%
+ \if#3+%
+ \if#1+%
+ \the\numexpr#2-\InCa@@Div+#2!+#4!*#4\relax
+ \else
+ \expandafter\InCa at ModX
+ \the\numexpr-#2+\InCa@@Div+#2!+#4!*#4!#4!%
+ \fi
+ \else
+ -%
+ \if#1+%
+ \expandafter\InCa at ModX
+ \the\numexpr-#2+\InCa@@Div+#2!+#4!*#4!#4!%
+ \else
+ \the\numexpr#2-\InCa@@Div+#2!+#4!*#4\relax
+ \fi
+ \fi
+ }%
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at ModX}
+% \begin{macrocode}
+ \def\InCa at ModX#1!#2!{%
+ \ifcase#1 %
+ 0%
+ \else
+ \the\numexpr#1+#2\relax
+ \fi
+ }%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macrocode}
+ \expandafter\InCa at AtEnd
+\fi%
+% \end{macrocode}
+%
+% \subsection{Implementation without \eTeX}
+%
+% \subsubsection{\op{Num}}
+%
+% \begin{macro}{\intcalcNum}
+% \begin{macrocode}
+\def\intcalcNum#1{%
+ \number\expandafter\InCa at FirstOfOne\number#1! %
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Inv}, \op{Abs}, \op{Sgn}}
+%
+% \begin{macro}{\intcalcInv}
+% \begin{macrocode}
+\def\intcalcInv#1{%
+ \number\expandafter\InCa at FirstOfOne\number-#1! %
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at FirstOfOne}
+% \begin{macrocode}
+\def\InCa at FirstOfOne#1!{#1}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\intcalcAbs}
+% \begin{macrocode}
+\def\intcalcAbs#1{%
+ \number\expandafter\InCa at Abs\number#1! %
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\intcalcSgn}
+% \begin{macrocode}
+\def\intcalcSgn#1{%
+ \number\expandafter\InCa at Sgn\number#1! %
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Min}, \op{Max}, \op{Cmp}}
+%
+% \begin{macro}{\intcalcMin}
+% \begin{macrocode}
+\def\intcalcMin#1#2{%
+ \number\expandafter\InCa at Min
+ \number\number#1\expandafter!\number#2! %
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\intcalcMax}
+% \begin{macrocode}
+\def\intcalcMax#1#2{%
+ \number\expandafter\InCa at Max
+ \number\number#1\expandafter!\number#2! %
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\intcalcCmp}
+% \begin{macrocode}
+\def\intcalcCmp#1#2{%
+ \number\expandafter\InCa at Cmp
+ \number\number#1\expandafter!\number#2! %
+}%
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Inc}, \op{Dec}}
+%
+% \begin{macro}{\intcalcInc}
+% \begin{macrocode}
+\def\intcalcInc#1{%
+ \number\expandafter\InCa at IncSwitch\number#1! %
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at IncSwitch}
+% \begin{macrocode}
+\def\InCa at IncSwitch#1#2!{%
+ \ifx#1-%
+ -%
+ \csname InCa at Empty%
+ \InCa at Dec#2!%
+ \else
+ \csname InCa at Empty%
+ \InCa at Inc#1#2!%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\intcalcDec}
+% \begin{macrocode}
+\def\intcalcDec#1{%
+ \number\expandafter\InCa at DecSwitch\number#1! %
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at DecSwitch}
+% \begin{macrocode}
+\def\InCa at DecSwitch#1#2!{%
+ \ifx#1-%
+ -%
+ \csname InCa at Empty%
+ \expandafter\InCa at Inc#2!%
+ \else
+ \ifx#10%
+ -1%
+ \else
+ \csname InCa at Empty%
+ \InCa at Dec#1#2!%
+ \fi
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\IntCalcInc}
+% \begin{macrocode}
+\def\IntCalcInc#1!{%
+ \number\csname InCa at Empty\InCa at Inc#1! %
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\IntCalcDec}
+% \begin{macrocode}
+\def\IntCalcDec#1!{%
+ \number\csname InCa at Empty\InCa at Dec#1! %
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\InCa at Inc}
+% \begin{macrocode}
+\def\InCa at Inc#1#2{%
+ \ifx#2!%
+ \csname InCa at IncDigit#1\endcsname1%
+ \else
+ \csname InCa at IncDigit#1%
+ \expandafter\InCa at Inc\expandafter#2%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at IncDigit[0-8]}
+% \begin{macrocode}
+\def\InCa at Temp#1#2{%
+ \expandafter\def\csname InCa at IncDigit#1\endcsname##1{%
+ \endcsname
+ 0%
+ \ifcase##1 %
+ #1%
+ \else
+ #2%
+ \fi
+ }%
+}
+\InCa at Temp 01
+\InCa at Temp 12
+\InCa at Temp 23
+\InCa at Temp 34
+\InCa at Temp 45
+\InCa at Temp 56
+\InCa at Temp 67
+\InCa at Temp 78
+\InCa at Temp 89
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at IncDigit9}
+% \begin{macrocode}
+\expandafter\def\csname InCa at IncDigit9\endcsname#1{%
+ \expandafter\endcsname
+ \ifcase#1 %
+ 09%
+ \else
+ 10%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\InCa at Dec}
+% \begin{macrocode}
+\def\InCa at Dec#1#2{%
+ \ifx#2!%
+ \csname InCa at DecDigit#1\endcsname1%
+ \else
+ \csname InCa at DecDigit#1%
+ \expandafter\InCa at Dec\expandafter#2%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at DecDigit[1-9]}
+% \begin{macrocode}
+\def\InCa at Temp#1#2{%
+ \expandafter\def\csname InCa at DecDigit#1\endcsname##1{%
+ \endcsname
+ 0%
+ \ifcase##1 %
+ #1%
+ \else
+ #2%
+ \fi
+ }%
+}
+\InCa at Temp 98
+\InCa at Temp 87
+\InCa at Temp 76
+\InCa at Temp 65
+\InCa at Temp 54
+\InCa at Temp 43
+\InCa at Temp 32
+\InCa at Temp 21
+\InCa at Temp 10
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at DecDigit0}
+% \begin{macrocode}
+\expandafter\def\csname InCa at DecDigit0\endcsname#1{%
+ \expandafter\endcsname
+ \ifcase#1 %
+ 00%
+ \else
+ 19%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Add}, \op{Sub}}
+%
+% \begin{macro}{\intcalcAdd}
+% \begin{macrocode}
+\def\intcalcAdd#1#2{%
+ \number
+ \expandafter\InCa at AddSwitch
+ \number\number#1\expandafter!%
+ \number#2! %
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\intcalcSub}
+% \begin{macrocode}
+\def\intcalcSub#1#2{%
+ \number
+ \expandafter\InCa at AddSwitch
+ \number\number#1\expandafter!%
+ \number-\number#2! %
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\InCa at AddSwitch}
+% Decision table for \cs{InCa at AddSwitch}.
+% The sign of negative numbers can be removed
+% by a simple \cs{@gobble}
+% instead of the more expensive |\number-|.
+% \begin{quote}
+% \begin{tabular}[t]{@{}|l|l|l|l|l|@{}}
+% \hline
+% $x<0$ & $y<0$ & $ x< y$ & $-$ & $\opAdd(-x,-y)$\\
+% \cline{3-3}\cline{5-5}
+% & & else & & $\opAdd(-y,-x)$\\
+% \cline{2-5}
+% & else & $-x> y$ & $-$ & $\opSub(-x, y)$\\
+% \cline{3-5}
+% & & else & $+$ & $\opSub( y,-x)$\\
+% \hline
+% else & $y<0$ & $ x>-y$ & $+$ & $\opSub( x,-y)$\\
+% \cline{3-5}
+% & & else & $-$ & $\opSub(-y, x)$\\
+% \cline{2-5}
+% & else & $ x> y$ & $+$ & $\opAdd( x, y)$\\
+% \cline{3-3}\cline{5-5}
+% & & else & & $\opAdd( y, x)$\\
+% \hline
+% \end{tabular}
+% \end{quote}
+% \begin{macrocode}
+\def\InCa at AddSwitch#1!#2!{%
+ \ifnum#1<\z@
+ \ifnum#2<\z@
+ -%
+ \ifnum#1<#2 %
+ \expandafter\InCa at Add\number-#1\expandafter!%
+ \@gobble#2!%
+ \else
+ \expandafter\InCa at Add\number-#2\expandafter!%
+ \@gobble#1!%
+ \fi
+ \else
+ \ifnum-#1>#2 %
+ -%
+ \expandafter\InCa at Sub\@gobble#1!#2!%
+ \else
+ \expandafter\InCa at Sub\number#2\expandafter!%
+ \@gobble#1!%
+ \fi
+ \fi
+ \else
+ \ifnum#2<\z@
+ \ifnum#1>-#2 %
+ \expandafter\InCa at Sub\number#1\expandafter!%
+ \@gobble#2!%
+ \else
+ -%
+ \expandafter\InCa at Sub\@gobble#2!#1!%
+ \fi
+ \else
+ \ifnum#1>#2 %
+ \InCa at Add#1!#2!%
+ \else
+ \InCa at Add#2!#1!%
+ \fi
+ \fi
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\IntCalcAdd}
+% \begin{macrocode}
+\def\IntCalcAdd#1!#2!{%
+ \number\InCa at Add#1!#2! %
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\IntCalcSub}
+% \begin{macrocode}
+\def\IntCalcSub#1!#2!{%
+ \number\InCa at Sub#1!#2! %
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at Space}
+% \begin{macrocode}
+\begingroup
+ \def\x#1{\endgroup
+ \let\InCa at Space= #1%
+ }%
+\x{ }
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at Add}
+% \begin{macrocode}
+\def\InCa at Add#1!#2!{%
+ \ifcase#2 %
+ #1%
+ \else
+ \InCa@@Add#1!#2!000000000\InCa at Space
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at Sub}
+% \begin{macrocode}
+\def\InCa at Sub#1!#2!{%
+ \ifnum#1=#2 %
+ 0%
+ \else
+ \InCa@@Sub#1!#2!000000000\InCa at Space
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa@@Add}
+% \begin{macrocode}
+\def\InCa@@Add#1!#2#3!{%
+ \ifx\InCa at Empty#3\InCa at Empty
+ \@ReturnAfterElseFi{%
+ \InCa@@@Add!!#1!#2%
+ }%
+ \else
+ \@ReturnAfterFi{%
+ \InCa@@Add#1!#3!#2%
+ }%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa@@Sub}
+% \begin{macrocode}
+\def\InCa@@Sub#1!#2#3!{%
+ \ifx\InCa at Empty#3\InCa at Empty
+ \@ReturnAfterElseFi{%
+ \InCa@@@Sub!!#1!#2%
+ }%
+ \else
+ \@ReturnAfterFi{%
+ \InCa@@Sub#1!#3!#2%
+ }%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\InCa@@@Add}
+% \begin{macrocode}
+\def\InCa@@@Add#1!#2!#3#4!#5{%
+ \ifx\InCa at Empty#4\InCa at Empty
+ \csname InCa at Empty%
+ \@ReturnAfterElseFi{%
+ \InCa at ProcessAdd#1#3!#5#2%
+ }%
+ \else
+ \@ReturnAfterFi{%
+ \InCa@@@Add#1#3!#5#2!#4!%
+ }%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa@@@Sub}
+% \begin{macrocode}
+\def\InCa@@@Sub#1!#2!#3#4!#5{%
+ \ifx\InCa at Empty#4\InCa at Empty
+ \csname @gobble%
+ \@ReturnAfterElseFi{%
+ \InCa at ProcessSub#1#3!#5#2%
+ }%
+ \else
+ \@ReturnAfterFi{%
+ \InCa@@@Sub#1#3!#5#2!#4!%
+ }%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\InCa at ProcessAdd}
+% \begin{macrocode}
+\def\InCa at ProcessAdd#1#2!#3#4{%
+ \ifx\InCa at Empty#2\InCa at Empty
+ \csname InCa at AddDigit#1\endcsname#3%
+ \romannumeral0#4%
+ \else
+ \csname InCa at AddDigit#1\csname InCa at DigitCarry#3%
+ \@ReturnAfterFi{%
+ \InCa at ProcessAdd#2!#4%
+ }%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at ProcessSub}
+% \begin{macrocode}
+\def\InCa at ProcessSub#1#2!#3#4{%
+ \ifx\InCa at Empty#2\InCa at Empty
+ \csname InCa at SubDigit#1\endcsname#3%
+ \romannumeral0#4%
+ \else
+ \csname InCa at SubDigit#1\csname InCa at DigitCarry#3%
+ \@ReturnAfterFi{%
+ \InCa at ProcessSub#2!#4%
+ }%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at DigitCarry[0-9]}
+% \begin{macrocode}
+\def\InCa at Temp#1#2{%
+ \expandafter\def\csname InCa at DigitCarry#1\endcsname##1{%
+ \ifcase##1 %
+ \endcsname#1%
+ \else
+ \endcsname#2%
+ \fi
+ }%
+}
+\InCa at Temp 01
+\InCa at Temp 12
+\InCa at Temp 23
+\InCa at Temp 34
+\InCa at Temp 45
+\InCa at Temp 56
+\InCa at Temp 67
+\InCa at Temp 78
+\InCa at Temp 89
+\InCa at Temp 9{{10}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\InCa at AddDigit0}
+% \begin{macrocode}
+\expandafter\def\csname InCa at AddDigit0\endcsname#1{%
+ \ifnum#1>9 %
+ \endcsname10%
+ \else
+ \endcsname0#1%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at AddDigit[1-9]}
+% \begin{macrocode}
+\def\InCa at Temp#1#2#3{%
+ \expandafter\def\csname InCa at AddDigit#1\endcsname##1{%
+ \ifnum##1>#2 %
+ \endcsname 1%
+ \else
+ \endcsname 0%
+ \fi
+ \ifcase##1 #1% 0
+ #3%
+ \else #1% 10
+ \fi
+ }%
+}
+\InCa at Temp 18{%
+ \or 2% 1
+ \or 3% 2
+ \or 4% 3
+ \or 5% 4
+ \or 6% 5
+ \or 7% 6
+ \or 8% 7
+ \or 9% 8
+ \or 0% 9
+}%
+\InCa at Temp 27{%
+ \or 3% 1
+ \or 4% 2
+ \or 5% 3
+ \or 6% 4
+ \or 7% 5
+ \or 8% 6
+ \or 9% 7
+ \or 0% 8
+ \or 1% 9
+}%
+\InCa at Temp 36{%
+ \or 4% 1
+ \or 5% 2
+ \or 6% 3
+ \or 7% 4
+ \or 8% 5
+ \or 9% 6
+ \or 0% 7
+ \or 1% 8
+ \or 2% 9
+}%
+\InCa at Temp 45{%
+ \or 5% 1
+ \or 6% 2
+ \or 7% 3
+ \or 8% 4
+ \or 9% 5
+ \or 0% 6
+ \or 1% 7
+ \or 2% 8
+ \or 3% 9
+}%
+\InCa at Temp 54{%
+ \or 6% 1
+ \or 7% 2
+ \or 8% 3
+ \or 9% 4
+ \or 0% 5
+ \or 1% 6
+ \or 2% 7
+ \or 3% 8
+ \or 4% 9
+}%
+\InCa at Temp 63{%
+ \or 7% 1
+ \or 8% 2
+ \or 9% 3
+ \or 0% 4
+ \or 1% 5
+ \or 2% 6
+ \or 3% 7
+ \or 4% 8
+ \or 5% 9
+}%
+\InCa at Temp 72{%
+ \or 8% 1
+ \or 9% 2
+ \or 0% 3
+ \or 1% 4
+ \or 2% 5
+ \or 3% 6
+ \or 4% 7
+ \or 5% 8
+ \or 6% 9
+}%
+\InCa at Temp 81{%
+ \or 9% 1
+ \or 0% 2
+ \or 1% 3
+ \or 2% 4
+ \or 3% 5
+ \or 4% 6
+ \or 5% 7
+ \or 6% 8
+ \or 7% 9
+}%
+\InCa at Temp 90{%
+ \or 0% 1
+ \or 1% 2
+ \or 2% 3
+ \or 3% 4
+ \or 4% 5
+ \or 5% 6
+ \or 6% 7
+ \or 7% 8
+ \or 8% 9
+}%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\InCa at SubDigit[0-9]}
+% \begin{macrocode}
+\def\InCa at Temp#1#2{%
+ \expandafter\def\csname InCa at SubDigit#1\endcsname##1{%
+ \ifnum##1>#1 %
+ \endcsname 1%
+ \else
+ \endcsname 0%
+ \fi
+ \ifcase##1 #1% 0
+ #2%
+ \else #1% 10
+ \fi
+ }%
+}
+\InCa at Temp 0{%
+ \or 9% 1
+ \or 8% 2
+ \or 7% 3
+ \or 6% 4
+ \or 5% 5
+ \or 4% 6
+ \or 3% 7
+ \or 2% 8
+ \or 1% 9
+}
+\InCa at Temp 1{%
+ \or 0% 1
+ \or 9% 2
+ \or 8% 3
+ \or 7% 4
+ \or 6% 5
+ \or 5% 6
+ \or 4% 7
+ \or 3% 8
+ \or 2% 9
+}
+\InCa at Temp 2{%
+ \or 1% 1
+ \or 0% 2
+ \or 9% 3
+ \or 8% 4
+ \or 7% 5
+ \or 6% 6
+ \or 5% 7
+ \or 4% 8
+ \or 3% 9
+}
+\InCa at Temp 3{%
+ \or 2% 1
+ \or 1% 2
+ \or 0% 3
+ \or 9% 4
+ \or 8% 5
+ \or 7% 6
+ \or 6% 7
+ \or 5% 8
+ \or 4% 9
+}
+\InCa at Temp 4{%
+ \or 3% 1
+ \or 2% 2
+ \or 1% 3
+ \or 0% 4
+ \or 9% 5
+ \or 8% 6
+ \or 7% 7
+ \or 6% 8
+ \or 5% 9
+}
+\InCa at Temp 5{%
+ \or 4% 1
+ \or 3% 2
+ \or 2% 3
+ \or 1% 4
+ \or 0% 5
+ \or 9% 6
+ \or 8% 7
+ \or 7% 8
+ \or 6% 9
+}
+\InCa at Temp 6{%
+ \or 5% 1
+ \or 4% 2
+ \or 3% 3
+ \or 2% 4
+ \or 1% 5
+ \or 0% 6
+ \or 9% 7
+ \or 8% 8
+ \or 7% 9
+}
+\InCa at Temp 7{%
+ \or 6% 1
+ \or 5% 2
+ \or 4% 3
+ \or 3% 4
+ \or 2% 5
+ \or 1% 6
+ \or 0% 7
+ \or 9% 8
+ \or 8% 9
+}
+\InCa at Temp 8{%
+ \or 7% 1
+ \or 6% 2
+ \or 5% 3
+ \or 4% 4
+ \or 3% 5
+ \or 2% 6
+ \or 1% 7
+ \or 0% 8
+ \or 9% 9
+}
+\InCa at Temp 9{%
+ \or 8% 1
+ \or 7% 2
+ \or 6% 3
+ \or 5% 4
+ \or 4% 5
+ \or 3% 6
+ \or 2% 7
+ \or 1% 8
+ \or 0% 9
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Shl}, \op{Shr}}
+%
+% \begin{macro}{\intcalcShl}
+% \begin{macrocode}
+\def\intcalcShl#1{%
+ \number\expandafter\InCa at ShlSwitch\number#1! %
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at ShlSwitch}
+% \begin{macrocode}
+\def\InCa at ShlSwitch#1#2!{%
+ \ifx#1-%
+ -\csname InCa at Empty%
+ \InCa at Shl#2!%
+ \else
+ \csname InCa at Empty%
+ \InCa at Shl#1#2!%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\IntCalcShl}
+% \begin{macrocode}
+\def\IntCalcShl#1!{%
+ \number
+ \csname InCa at Empty%
+ \InCa at Shl#1! %
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\IntCal at ShlDigit}
+% \begin{macrocode}
+\def\InCa at Shl#1#2{%
+ \ifx#2!%
+ \csname InCa at ShlDigit#1\endcsname0%
+ \else
+ \csname InCa at ShlDigit#1%
+ \@ReturnAfterFi{%
+ \InCa at Shl#2%
+ }%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at ShlDigit0}
+% \begin{macrocode}
+\expandafter\def\csname InCa at ShlDigit0\endcsname{%
+ \endcsname0%
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at ShlDigit[1-9]}
+% \begin{macrocode}
+\def\InCa at Temp#1#2#3#4#5{%
+ \expandafter\def\csname InCa at ShlDigit#1\endcsname##1{%
+ \expandafter\endcsname
+ \ifcase##1 %
+ #2#3%
+ \else
+ #4#5%
+ \fi
+ }%
+}
+\InCa at Temp 10203
+\InCa at Temp 20405
+\InCa at Temp 30607
+\InCa at Temp 40809
+\InCa at Temp 51011
+\InCa at Temp 61213
+\InCa at Temp 71415
+\InCa at Temp 81617
+\InCa at Temp 91819
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\intcalcShr}
+% \begin{macrocode}
+\def\intcalcShr#1{%
+ \number\expandafter\InCa at ShrSwitch\number#1! %
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at ShrSwitch}
+% \begin{macrocode}
+\def\InCa at ShrSwitch#1#2!{%
+ \ifx#1-%
+ -\InCa at Shr#2!%
+ \else
+ \InCa at Shr#1#2!%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\IntCalcShr}
+% \begin{macrocode}
+\def\IntCalcShr#1!{%
+ \number\InCa at Shr#1! %
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at Shr}
+% \begin{macrocode}
+\def\InCa at Shr#1#2{%
+ \InCa at ShrDigit#1!%
+ \ifx#2!%
+ \else
+ \@ReturnAfterFi{%
+ \ifodd#1 %
+ \@ReturnAfterElseFi{%
+ \InCa at Shr{1#2}%
+ }%
+ \else
+ \expandafter\InCa at Shr\expandafter#2%
+ \fi
+ }%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macrocode}
+\def\InCa at ShrDigit#1!{%
+ \ifcase#1 0% 0
+ \or 0% 1
+ \or 1% 2
+ \or 1% 3
+ \or 2% 4
+ \or 2% 5
+ \or 3% 6
+ \or 3% 7
+ \or 4% 8
+ \or 4% 9
+ \or 5% 10
+ \or 5% 11
+ \or 6% 12
+ \or 6% 13
+ \or 7% 14
+ \or 7% 15
+ \or 8% 16
+ \or 8% 17
+ \or 9% 18
+ \or 9% 19
+ \fi
+}
+% \end{macrocode}
+%
+% \subsubsection{\cs{InCa at Tim}}
+%
+% \begin{macro}{\InCa at Tim}
+% Macro \cs{InCa at Tim} implements
+% ``Number \emph{tim}es digit''.
+% \begin{macrocode}
+\def\InCa at Temp#1{%
+ \def\InCa at Tim##1##2{%
+ \number
+ \ifcase##2 % 0
+ 0%
+ \or % 1
+ ##1%
+ \else % 2-9
+ \csname InCa at Empty%
+ \InCa at ProcessTim##2##1!%
+ \fi
+ #1%
+ }%
+}
+\InCa at Temp{ }
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at ProcessTim}
+% \begin{macrocode}
+\def\InCa at ProcessTim#1#2#3{%
+ \ifx#3!%
+ \csname InCa at TimDigit#2\endcsname#10%
+ \else
+ \csname InCa at TimDigit#2\csname InCa at Param#1%
+ \@ReturnAfterFi{%
+ \InCa at ProcessTim#1#3%
+ }%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at Param[0-9]}
+% \begin{macrocode}
+\def\InCa at Temp#1{%
+ \expandafter\def\csname InCa at Param#1\endcsname{%
+ \endcsname#1%
+ }%
+}
+\InCa at Temp 0%
+\InCa at Temp 1%
+\InCa at Temp 2%
+\InCa at Temp 3%
+\InCa at Temp 4%
+\InCa at Temp 5%
+\InCa at Temp 6%
+\InCa at Temp 7%
+\InCa at Temp 8%
+\InCa at Temp 9%
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at TimDigit0}
+% \begin{macrocode}
+\expandafter\def\csname InCa at TimDigit0\endcsname#1#2{%
+ \endcsname
+ 0#2%
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at TimDigit1}
+% \begin{macrocode}
+\expandafter\def\csname InCa at TimDigit1\endcsname#1#2{%
+ \ifcase#2 %
+ \endcsname 0#1%
+ \else
+ \csname InCa at AddDigit#1\endcsname #2%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at TimDigit[2-9]}
+% \begin{macrocode}
+\def\InCa at Temp#1#2{%
+ \expandafter\def\csname InCa at TimDigit#1\endcsname##1{%
+ \expandafter\InCa at TimDigitCarry
+ \number
+ \ifcase##1 0% 0
+ #2%
+ \fi
+ !%
+ }%
+}
+\InCa at Temp 2{%
+ \or 2% 1
+ \or 4% 2
+ \or 6% 3
+ \or 8% 4
+ \or 10% 5
+ \or 12% 6
+ \or 14% 7
+ \or 16% 8
+ \or 18% 9
+}
+\InCa at Temp 3{%
+ \or 3% 1
+ \or 6% 2
+ \or 9% 3
+ \or 12% 4
+ \or 15% 5
+ \or 18% 6
+ \or 21% 7
+ \or 24% 8
+ \or 27% 9
+}
+\InCa at Temp 4{%
+ \or 4% 1
+ \or 8% 2
+ \or 12% 3
+ \or 16% 4
+ \or 20% 5
+ \or 24% 6
+ \or 28% 7
+ \or 32% 8
+ \or 36% 9
+}
+\InCa at Temp 5{%
+ \or 5% 1
+ \or 10% 2
+ \or 15% 3
+ \or 20% 4
+ \or 25% 5
+ \or 30% 6
+ \or 35% 7
+ \or 40% 8
+ \or 45% 9
+}
+\InCa at Temp 6{%
+ \or 6% 1
+ \or 12% 2
+ \or 18% 3
+ \or 24% 4
+ \or 30% 5
+ \or 36% 6
+ \or 42% 7
+ \or 48% 8
+ \or 54% 9
+}
+\InCa at Temp 7{%
+ \or 7% 1
+ \or 14% 2
+ \or 21% 3
+ \or 28% 4
+ \or 35% 5
+ \or 42% 6
+ \or 49% 7
+ \or 56% 8
+ \or 63% 9
+}
+\InCa at Temp 8{%
+ \or 8% 1
+ \or 16% 2
+ \or 24% 3
+ \or 32% 4
+ \or 40% 5
+ \or 48% 6
+ \or 56% 7
+ \or 64% 8
+ \or 72% 9
+}
+\InCa at Temp 9{%
+ \or 9% 1
+ \or 18% 2
+ \or 27% 3
+ \or 36% 4
+ \or 45% 5
+ \or 54% 6
+ \or 63% 7
+ \or 72% 8
+ \or 81% 9
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at TimDigitCarry}
+% \begin{macrocode}
+\def\InCa at TimDigitCarry#1!{%
+ \ifnum#1<10 %
+ \csname InCa at AddDigit#1\expandafter\endcsname
+ \else
+ \@ReturnAfterFi{%
+ \InCa@@TimDigitCarry#1!%
+ }%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa@@TimDigitCarry}
+% \begin{macrocode}
+\def\InCa@@TimDigitCarry#1#2!#3{%
+ \csname InCa at DigitCarry#1%
+ \csname InCa at AddDigit#2\endcsname #3%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Mul}}
+%
+% \begin{macro}{\intcalcMul}
+% \begin{macrocode}
+\def\intcalcMul#1#2{%
+ \number
+ \expandafter\InCa at MulSwitch
+ \number\number#1\expandafter!%
+ \number#2! %
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\InCa at MulSwitch}
+% Decision table for \cs{InCa at MulSwitch}.
+% \begin{quote}
+% \begin{tabular}[t]{@{}|l|l|l|l|l|@{}}
+% \hline
+% $x<0$ & $y<0$ & $ x< y$ & $+$ & $\opMul(-x,-y)$\\
+% \cline{3-3}\cline{5-5}
+% & & else & & $\opMul(-y,-x)$\\
+% \cline{2-5}
+% & else & $-x> y$ & $-$ & $\opMul(-x, y)$\\
+% \cline{3-3}\cline{5-5}
+% & & else & & $\opMul( y,-x)$\\
+% \hline
+% else & $y<0$ & $ x>-y$ & $-$ & $\opMul( x,-y)$\\
+% \cline{3-3}\cline{5-5}
+% & & else & & $\opMul(-y, x)$\\
+% \cline{2-5}
+% & else & $ x> y$ & $+$ & $\opMul( x, y)$\\
+% \cline{3-3}\cline{5-5}
+% & & else & & $\opMul( y, x)$\\
+% \hline
+% \end{tabular}
+% \end{quote}
+% \begin{macrocode}
+\def\InCa at MulSwitch#1!#2!{%
+ \ifnum#1<\z@
+ \ifnum#2<\z@
+ \ifnum#1<#2 %
+ \expandafter\InCa at Mul\number-#1\expandafter!%
+ \@gobble#2!%
+ \else
+ \expandafter\InCa at Mul\number-#2\expandafter!%
+ \@gobble#1!%
+ \fi
+ \else
+ -%
+ \ifnum-#1>#2 %
+ \expandafter\InCa at Mul\@gobble#1!#2!%
+ \else
+ \expandafter\InCa at Mul\number#2\expandafter!%
+ \@gobble#1!%
+ \fi
+ \fi
+ \else
+ \ifnum#2<\z@
+ -%
+ \ifnum#1>-#2 %
+ \expandafter\InCa at Mul\number#1\expandafter!%
+ \@gobble#2!%
+ \else
+ \expandafter\InCa at Mul\@gobble#2!#1!%
+ \fi
+ \else
+ \ifnum#1>#2 %
+ \InCa at Mul#1!#2!%
+ \else
+ \InCa at Mul#2!#1!%
+ \fi
+ \fi
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\IntCalcMul}
+% \begin{macrocode}
+\def\IntCalcMul#1!#2!{%
+ \number\InCa at Mul#1!#2! %
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at Mul}
+% \begin{macrocode}
+\def\InCa at Mul#1!#2!{%
+ \ifcase#2 %
+ 0%
+ \or
+ #1%
+ \or
+ \csname InCa at Empty%
+ \expandafter\InCa at Shl#1!%
+ \else
+ \ifnum#2<10 %
+ \InCa at Tim{#1}#2%
+ \else
+ \InCa at ProcessMul!#2!#1!%
+ \fi
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at Mul}
+% \begin{macrocode}
+\def\InCa at ProcessMul#1!#2#3!#4!{%
+ \ifx\InCa at Empty#3\InCa at Empty
+ \expandafter\InCa at Add\number
+ #10\expandafter\expandafter\expandafter!%
+ \InCa at Tim{#4}#2!%
+ \else
+ \ifx\InCa at Empty#1\InCa at Empty
+ \expandafter\expandafter\expandafter\InCa at ProcessMul
+ \InCa at Tim{#4}#2!%
+ #3!#4!%
+ \else
+ \expandafter\InCa at ProcessMul\number
+ \expandafter\InCa at Add\number%
+ #10\expandafter\expandafter\expandafter!%
+ \InCa at Tim{#4}#2!!%
+ #3!#4!%
+ \fi
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Sqr}, \op{Fac}}
+%
+% \begin{macro}{\intcalcSqr}
+% \begin{macrocode}
+\def\intcalcSqr#1{%
+ \number\expandafter\InCa at Sqr\number#1! %
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at Sqr}
+% \begin{macrocode}
+\def\InCa at Sqr#1#2!{%
+ \ifx#1-%
+ \InCa at Mul#2!#2!%
+ \else
+ \InCa at Mul#1#2!#1#2!%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\intcalcFac}
+% \begin{macrocode}
+\def\intcalcFac#1{%
+ \number\expandafter\InCa at Fac\number#1! %
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Pow}}
+%
+% \begin{macro}{\intcalcPow}
+% \begin{macrocode}
+\def\intcalcPow#1#2{%
+ \number\expandafter\InCa at Pow
+ \number\number#1\expandafter!%
+ \number#2! %
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at Pow}
+% \begin{macrocode}
+\def\InCa at Pow#1#2!#3#4!{%
+ \ifcase#3#4 % power = 0
+ 1%
+ \or % power = 1
+ #1#2%
+ \or % power = 2
+ \ifx#1-%
+ \InCa at Mul#2!#2!%
+ \else
+ \InCa at Mul#1#2!#1#2!%
+ \fi
+ \else
+ \ifcase#1#2 % basis = 0, power <> 0
+ 0%
+ \ifx#3-% power < 0
+ 0\IntCalcError:DivisionByZero%
+ \fi
+ \or
+ 1% basis = 1
+ \else
+ \ifnum#1#2=\m at ne % basis = -1
+ \ifodd#3#4 %
+ -%
+ \fi
+ 1%
+ \else % |basis| > 1
+ \ifx#3-% power < 0
+ 0%
+ \else % power > 2
+ \ifx#1-% basis < 0
+ \ifodd#3#4 %
+ -%
+ \fi
+ \InCa at PowRec#2!#3#4!1!%
+ \else
+ \InCa at PowRec#1#2!#3#4!1!%
+ \fi
+ \fi
+ \fi
+ \fi
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at PowRec}
+%\begin{quote}
+%\begin{verbatim}
+%Pow(b, p) {
+% PowRec(b, p, 1)
+%}
+%PowRec(b, p, r) {
+% if p == 1 then
+% return r
+% else
+% ifodd p then
+% return PowRec(b*b, p div 2, r*b) % p div 2 = (p-1)/2
+% else
+% return PowRec(b*b, p div 2, r)
+% fi
+% fi
+%}
+%\end{verbatim}
+%\end{quote}
+% \begin{macrocode}
+\def\InCa at PowRec#1!#2!#3!{%
+ \ifnum#2=\@ne
+ \ifnum#1>#3 %
+ \InCa at Mul#1!#3!%
+ \else
+ \InCa at Mul#3!#1!%
+ \fi
+ \else
+ \expandafter\InCa at PowRec
+ \number\InCa at Mul#1!#1!\expandafter!%
+ \number\intcalcShr{#2}\expandafter!%
+ \number
+ \ifodd#2 %
+ \ifnum#1>#3 %
+ \InCa at Mul#1!#3!%
+ \else
+ \InCa at Mul#3!#1!%
+ \fi
+ \else
+ #3%
+ \fi
+ \expandafter!%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Div}}
+%
+% \begin{macro}{\intcalcDiv}
+% \begin{macrocode}
+\def\intcalcDiv#1#2{%
+ \number\expandafter\InCa at Div
+ \number\number#1\expandafter!%
+ \number#2! %
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at Div}
+% \begin{macrocode}
+\def\InCa at Div#1!#2!{%
+ \ifcase#2 %
+ 0\IntCalcError:DivisionByZero%
+ \else
+ \ifcase#1 %
+ 0%
+ \else
+ \expandafter\InCa at DivSwitch
+ \number#1\expandafter!%
+ \number#2!%
+ \fi
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\IntCalcDiv}
+% \begin{macrocode}
+\def\InCa at Temp#1{%
+ \def\IntCalcDiv##1!##2!{%
+ \number
+ \ifcase##2 %
+ 0\IntCalcError:DivisionByZero%
+ \else
+ \ifcase##1 %
+ 0%
+ \else
+ \InCa@@Div##1!##2!%
+ \fi
+ \fi
+ #1%
+ }%
+}
+\InCa at Temp{ }%
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at DivSwitch}
+% Decision table for \cs{InCa at DivSwitch}.
+% \begin{quote}
+% \begin{tabular}[t]{@{}|l|l|l|l|@{}}
+% \hline
+% $x<0$ & $y<0$ & $+$ & $\opDiv(-x,-y)$\\
+% \cline{2-4}
+% & else & $-$ & $\opDiv(-x, y)$\\
+% \hline
+% else & $y<0$ & $-$ & $\opDiv( x,-y)$\\
+% \cline{2-4}
+% & else & $+$ & $\opDiv( x, y)$\\
+% \hline
+% \end{tabular}
+% \end{quote}
+% \begin{macrocode}
+\def\InCa at DivSwitch#1!#2!{%
+ \ifnum#1<\z@
+ \ifnum#2<\z@
+ \expandafter\InCa@@Div\number-#1\expandafter!%
+ \@gobble#2!%
+ \else
+ -%
+ \expandafter\InCa@@Div\@gobble#1!#2!%
+ \fi
+ \else
+ \ifnum#2<\z@
+ -%
+ \expandafter\InCa@@Div\number#1\expandafter!%
+ \@gobble#2!%
+ \else
+ \InCa@@Div#1!#2!%
+ \fi
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa@@Div}
+% \begin{macrocode}
+\def\InCa@@Div#1!#2!{%
+ \ifnum#1>#2 %
+ \ifcase#2 % 0 already catched
+? \IntCalcError:ThisCannotHappen%
+ \or % 1
+ #1%
+ \or % 2
+ \InCa at Shr#1!%
+ \else
+ \InCa at DivStart!#1!#2!#2!%
+ \fi
+ \else
+ \ifnum#1=#2 %
+ 1%
+ \else
+ 0%
+ \fi
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at DivStart}
+% \begin{macrocode}
+\def\InCa at DivStart#1!#2#3!#4#5{%
+ \ifx#5!%
+ \@ReturnAfterElseFi{%
+ \InCa at DivStartI{#1#2}#3=!%
+ }%
+ \else
+ \@ReturnAfterFi{%
+ \InCa at DivStart{#1#2}!#3!#5%
+ }%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at StartI}
+% \begin{macrocode}
+\def\InCa at DivStartI#1!#2!{%
+ \expandafter\InCa at DivStartII
+ \number#2\expandafter\expandafter\expandafter!%
+ \intcalcShl{#2}!%
+ #1!%
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at StartII}
+% \begin{macrocode}
+\def\InCa at DivStartII#1!#2!{%
+ \expandafter\InCa at DivStartIII
+ \number#1\expandafter!%
+ \number#2\expandafter\expandafter\expandafter!%
+ \intcalcShl{#2}!%
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at StartIII}
+% \begin{macrocode}
+\def\InCa at DivStartIII#1!#2!#3!{%
+ \expandafter\InCa at DivStartIV
+ \number#1\expandafter!%
+ \number#2\expandafter!%
+ \number#3\expandafter!%
+ \number\InCa at Add#3!#2!\expandafter\expandafter\expandafter!%
+ \intcalcShl{#3}!%
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at StartIV}
+% \begin{macrocode}
+\def\InCa at DivStartIV#1!#2!#3!#4!#5!#6!{%
+ \InCa at ProcessDiv#6!#1!#2!#3!#4!#5!/%
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at ProcessDiv}
+% \begin{macrocode}
+\def\InCa at ProcessDiv#1#2#3!#4!#5!#6!#7!#8!#9/{%
+ #9%
+ \ifnum#1<#4 % 0
+ 0%
+ \ifx#2=%
+ \else
+ \InCa at ProcessDiv{#1#2}#3!#4!#5!#6!#7!#8!%
+ \fi
+ \else % 1-9
+ \ifnum#1<#5 % 1
+ 1%
+ \ifx#2=%
+ \else
+ \expandafter\InCa at ProcessDiv\expandafter{%
+ \number\InCa at Sub#1!#4!%
+ #2%
+ }#3!#4!#5!#6!#7!#8!%
+ \fi
+ \else % 2-9
+ \ifnum#1<#7 % 2 3 4 5
+ \ifnum#1<#6 % 2 3
+ \@ReturnAfterElseFi{%
+ \expandafter\InCa@@ProcessDiv
+ \number\InCa at Sub#1!#5!!%
+ 23%
+ }%
+ \else % 4 5
+ \@ReturnAfterFi{%
+ \expandafter\InCa@@ProcessDiv
+ \number\InCa at Sub#1!#6!!%
+ 45%
+ }%
+ \fi
+ #2#3!#4!#5!#6!#7!#8!%
+ \else % 6 7 8 9
+ \ifnum#1<#8 % 6 7
+ \@ReturnAfterElseFi{%
+ \expandafter\InCa@@ProcessDiv
+ \number\InCa at Sub#1!#7!!%
+ 67%
+ }%
+ \else % 8 9
+ \@ReturnAfterFi{%
+ \expandafter\InCa@@ProcessDiv
+ \number\InCa at Sub#1!#8!!%
+ 89%
+ }%
+ \fi
+ #2#3!#4!#5!#6!#7!#8!%
+ \fi
+ \fi
+ \fi
+ \ifx#2=%
+ \expandafter\@gobble
+ \fi
+ /%
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa@@ProcessDiv}
+% \begin{macrocode}
+\def\InCa@@ProcessDiv#1!#2#3#4#5!#6!{%
+ \ifnum#1<#6 %
+ #2%
+ \@ReturnAfterElseFi{%
+ \ifx#4=%
+ \expandafter\InCa at CleanupIV
+ \else
+ \@ReturnAfterFi{%
+ \InCa at ProcessDiv{#1#4}#5!#6!%
+ }%
+ \fi
+ }%
+ \else
+ #3%
+ \@ReturnAfterFi{%
+ \ifx#4=%
+ \expandafter\InCa at CleanupIV
+ \else
+ \@ReturnAfterFi{%
+ \expandafter\InCa at ProcessDiv\expandafter{%
+ \number\InCa at Sub#1!#6! %
+ #4%
+ }#5!#6!%
+ }%
+ \fi
+ }%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at CleanupIV}
+% \begin{macrocode}
+\def\InCa at CleanupIV#1!#2!#3!#4!{}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{\op{Mod}}
+%
+% \begin{macro}{\intcalcMod}
+% \begin{macrocode}
+\def\intcalcMod#1#2{%
+ \number\expandafter\InCa at Mod
+ \number\number#1\expandafter!%
+ \number#2! %
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\intcalc at Mod}
+% Pseudocode/decision table for \cs{intcalc at Mod}.
+% \begin{quote}
+% \begin{tabular}{@{}lll@{}}
+% if & $y=0$ & DivisionByZero\\
+% elsif & $y<0$ & $-\opMod(-x,-y)$\\
+% elsif & $x=0$ & 0\\
+% elsif & $y=1$ & 0\\
+% elsif & $y=2$ & $\opOdd(x)\mathbin{?}1\mathbin{:}0$\\
+% elsif & $x<0$ &
+% $z\leftarrow x-(x/y)*y;\quad (z<0)\mathbin{?}z+y\mathbin{:}z$\\
+% else & & $x-(x/y)*y$\\
+% \\
+% \end{tabular}
+% \end{quote}
+% \begin{macrocode}
+\def\InCa at Mod#1!#2!{%
+ \ifcase#2 %
+ 0\IntCalcError:DivisionByZero%
+ \else
+ \ifnum#2<\z@
+ -%
+ \expandafter\InCa at Mod
+ \number-#1\expandafter!%
+ \number-#2!%
+ \else
+ \ifcase#1 %
+ 0%
+ \else
+ \ifcase#2 % 0 already catched
+? \IntCalcError:ThisCannotHappen%
+ \or % 1
+ 0%
+ \or % 2
+ \ifodd#1 1\else 0\fi
+ \else
+ \ifnum#1<\z@
+ \expandafter\InCa at ModShift
+ \number-%
+ \expandafter\InCa at Sub
+ \number\@gobble#1\expandafter!%
+ \number\intcalcMul{#2}{%
+ \expandafter\InCa at Div\@gobble#1!#2!%
+ }!%
+ !#2!%
+ \else
+ \expandafter\InCa at Sub\number#1\expandafter!%
+ \number\intcalcMul{#2}{\InCa at Div#1!#2!}!%
+ \fi
+ \fi
+ \fi
+ \fi
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\IntCalcMod}
+% \begin{macrocode}
+\def\InCa at Temp#1{%
+ \def\IntCalcMod##1!##2!{%
+ \number
+ \ifcase##2 %
+ 0\IntCalcError:DivisionByZero%
+ \else
+ \ifcase##1 %
+ 0%
+ \else
+ \ifcase##2 % 0 already catched
+? \IntCalcError:ThisCannotHappen
+ \or % 1
+ 0%
+ \or % 2
+ \ifodd ##1 1\else 0\fi
+ \else
+ \expandafter\InCa at Sub\number##1\expandafter!%
+ \number\intcalcMul{##2}{\InCa at Div##1!##2!}!%
+ \fi
+ \fi
+ \fi
+ #1%
+ }%
+}
+\InCa at Temp{ }%
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\InCa at ModShift}
+% \begin{macrocode}
+\def\InCa at ModShift#1!#2!{%
+ \ifnum#1<\z@
+ \expandafter\InCa at Sub\number#2\expandafter!%
+ \@gobble#1!%
+ \else
+ #1%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{Help macros}
+%
+% \begin{macro}{\InCa at Empty}
+% \begin{macrocode}
+\def\InCa at Empty{}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\@gobble}
+% \begin{macrocode}
+\expandafter\ifx\csname @gobble\endcsname\relax
+ \long\def\@gobble#1{}%
+\fi
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\@ReturnAfterFi}
+% \begin{macrocode}
+\long\def\@ReturnAfterFi#1\fi{\fi#1}%
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\@ReturnAfterElseFi}
+% \begin{macrocode}
+\long\def\@ReturnAfterElseFi#1\else#2\fi{\fi#1}%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macrocode}
+\InCa at AtEnd%
+% \end{macrocode}
+%
+% \begin{macrocode}
+%</package>
+% \end{macrocode}
+%% \section{Installation}
+%
+% \subsection{Download}
+%
+% \paragraph{Package.} This package is available on
+% CTAN\footnote{\CTANpkg{intcalc}}:
+% \begin{description}
+% \item[\CTAN{macros/latex/contrib/intcalc/intcalc.dtx}] The source file.
+% \item[\CTAN{macros/latex/contrib/intcalc/intcalc.pdf}] Documentation.
+% \end{description}
+%
+%
+% \paragraph{Bundle.} All the packages of the bundle `intcalc'
+% are also available in a TDS compliant ZIP archive. There
+% the packages are already unpacked and the documentation files
+% are generated. The files and directories obey the TDS standard.
+% \begin{description}
+% \item[\CTANinstall{install/macros/latex/contrib/intcalc.tds.zip}]
+% \end{description}
+% \emph{TDS} refers to the standard ``A Directory Structure
+% for \TeX\ Files'' (\CTANpkg{tds}). Directories
+% with \xfile{texmf} in their name are usually organized this way.
+%
+% \subsection{Bundle installation}
+%
+% \paragraph{Unpacking.} Unpack the \xfile{intcalc.tds.zip} in the
+% TDS tree (also known as \xfile{texmf} tree) of your choice.
+% Example (linux):
+% \begin{quote}
+% |unzip intcalc.tds.zip -d ~/texmf|
+% \end{quote}
+%
+% \subsection{Package installation}
+%
+% \paragraph{Unpacking.} The \xfile{.dtx} file is a self-extracting
+% \docstrip\ archive. The files are extracted by running the
+% \xfile{.dtx} through \plainTeX:
+% \begin{quote}
+% \verb|tex intcalc.dtx|
+% \end{quote}
+%
+% \paragraph{TDS.} Now the different files must be moved into
+% the different directories in your installation TDS tree
+% (also known as \xfile{texmf} tree):
+% \begin{quote}
+% \def\t{^^A
+% \begin{tabular}{@{}>{\ttfamily}l@{ $\rightarrow$ }>{\ttfamily}l@{}}
+% intcalc.sty & tex/generic/intcalc/intcalc.sty\\
+% intcalc.pdf & doc/latex/intcalc/intcalc.pdf\\
+% intcalc.dtx & source/latex/intcalc/intcalc.dtx\\
+% \end{tabular}^^A
+% }^^A
+% \sbox0{\t}^^A
+% \ifdim\wd0>\linewidth
+% \begingroup
+% \advance\linewidth by\leftmargin
+% \advance\linewidth by\rightmargin
+% \edef\x{\endgroup
+% \def\noexpand\lw{\the\linewidth}^^A
+% }\x
+% \def\lwbox{^^A
+% \leavevmode
+% \hbox to \linewidth{^^A
+% \kern-\leftmargin\relax
+% \hss
+% \usebox0
+% \hss
+% \kern-\rightmargin\relax
+% }^^A
+% }^^A
+% \ifdim\wd0>\lw
+% \sbox0{\small\t}^^A
+% \ifdim\wd0>\linewidth
+% \ifdim\wd0>\lw
+% \sbox0{\footnotesize\t}^^A
+% \ifdim\wd0>\linewidth
+% \ifdim\wd0>\lw
+% \sbox0{\scriptsize\t}^^A
+% \ifdim\wd0>\linewidth
+% \ifdim\wd0>\lw
+% \sbox0{\tiny\t}^^A
+% \ifdim\wd0>\linewidth
+% \lwbox
+% \else
+% \usebox0
+% \fi
+% \else
+% \lwbox
+% \fi
+% \else
+% \usebox0
+% \fi
+% \else
+% \lwbox
+% \fi
+% \else
+% \usebox0
+% \fi
+% \else
+% \lwbox
+% \fi
+% \else
+% \usebox0
+% \fi
+% \else
+% \lwbox
+% \fi
+% \else
+% \usebox0
+% \fi
+% \end{quote}
+% If you have a \xfile{docstrip.cfg} that configures and enables \docstrip's
+% TDS installing feature, then some files can already be in the right
+% place, see the documentation of \docstrip.
+%
+% \subsection{Refresh file name databases}
+%
+% If your \TeX~distribution
+% (\TeX\,Live, \mikTeX, \dots) relies on file name databases, you must refresh
+% these. For example, \TeX\,Live\ users run \verb|texhash| or
+% \verb|mktexlsr|.
+%
+% \subsection{Some details for the interested}
+%
+% \paragraph{Unpacking with \LaTeX.}
+% The \xfile{.dtx} chooses its action depending on the format:
+% \begin{description}
+% \item[\plainTeX:] Run \docstrip\ and extract the files.
+% \item[\LaTeX:] Generate the documentation.
+% \end{description}
+% If you insist on using \LaTeX\ for \docstrip\ (really,
+% \docstrip\ does not need \LaTeX), then inform the autodetect routine
+% about your intention:
+% \begin{quote}
+% \verb|latex \let\install=y\input{intcalc.dtx}|
+% \end{quote}
+% Do not forget to quote the argument according to the demands
+% of your shell.
+%
+% \paragraph{Generating the documentation.}
+% You can use both the \xfile{.dtx} or the \xfile{.drv} to generate
+% the documentation. The process can be configured by the
+% configuration file \xfile{ltxdoc.cfg}. For instance, put this
+% line into this file, if you want to have A4 as paper format:
+% \begin{quote}
+% \verb|\PassOptionsToClass{a4paper}{article}|
+% \end{quote}
+% An example follows how to generate the
+% documentation with pdf\LaTeX:
+% \begin{quote}
+%\begin{verbatim}
+%pdflatex intcalc.dtx
+%makeindex -s gind.ist intcalc.idx
+%pdflatex intcalc.dtx
+%makeindex -s gind.ist intcalc.idx
+%pdflatex intcalc.dtx
+%\end{verbatim}
+% \end{quote}
+%
+% \begin{History}
+% \begin{Version}{2007/09/09 v1.0}
+% \item
+% First version.
+% \end{Version}
+% \begin{Version}{2007/09/27 v1.1}
+% \item
+% \cs{intcalcNum} added.
+% \item
+% \cs{intcalcShl} and \cs{intcalcShr} allow negative numbers.
+% The sign is preserved.
+% \item
+% Reuse \cs{@gobble} instead of own macro \cs{IntCalc at Gobble}.
+% \item
+% Small fixes.
+% \item
+% Shorter internal prefix.
+% \item
+% Some programmer's interface.
+% \end{Version}
+% \begin{Version}{2016/05/16 v1.2}
+% \item
+% Documentation updates.
+% \end{Version}
+% \begin{Version}{2019/12/15 v1.3}
+% \item
+% Documentation updates.
+% \end{Version}
+% \end{History}
+%
+% \PrintIndex
+%
+% \Finale
+\endinput
Property changes on: trunk/Master/texmf-dist/source/latex/intcalc/intcalc.dtx
___________________________________________________________________
Added: svn:eol-style
## -0,0 +1 ##
+native
\ No newline at end of property
Added: trunk/Master/texmf-dist/tex/generic/intcalc/intcalc.sty
===================================================================
--- trunk/Master/texmf-dist/tex/generic/intcalc/intcalc.sty (rev 0)
+++ trunk/Master/texmf-dist/tex/generic/intcalc/intcalc.sty 2019-12-17 23:24:25 UTC (rev 53168)
@@ -0,0 +1,1734 @@
+%%
+%% This is file `intcalc.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% intcalc.dtx (with options: `package')
+%%
+%% This is a generated file.
+%%
+%% Project: intcalc
+%% Version: 2019/12/15 v1.3
+%%
+%% Copyright (C)
+%% 2007 Heiko Oberdiek
+%% 2016-2019 Oberdiek Package Support Group
+%%
+%% This work may be distributed and/or modified under the
+%% conditions of the LaTeX Project Public License, either
+%% version 1.3c of this license or (at your option) any later
+%% version. This version of this license is in
+%% https://www.latex-project.org/lppl/lppl-1-3c.txt
+%% and the latest version of this license is in
+%% https://www.latex-project.org/lppl.txt
+%% and version 1.3 or later is part of all distributions of
+%% LaTeX version 2005/12/01 or later.
+%%
+%% This work has the LPPL maintenance status "maintained".
+%%
+%% The Current Maintainers of this work are
+%% Heiko Oberdiek and the Oberdiek Package Support Group
+%% https://github.com/ho-tex/intcalc/issues
+%%
+%%
+%% The Base Interpreter refers to any `TeX-Format',
+%% because some files are installed in TDS:tex/generic//.
+%%
+%% This work consists of the main source file intcalc.dtx
+%% and the derived files
+%% intcalc.sty, intcalc.pdf, intcalc.ins, intcalc.drv,
+%% intcalc-test1.tex, intcalc-test2.tex, intcalc-test3.tex,
+%% intcalc-test4.tex.
+%%
+\begingroup\catcode61\catcode48\catcode32=10\relax%
+ \catcode13=5 % ^^M
+ \endlinechar=13 %
+ \catcode35=6 % #
+ \catcode39=12 % '
+ \catcode44=12 % ,
+ \catcode45=12 % -
+ \catcode46=12 % .
+ \catcode58=12 % :
+ \catcode64=11 % @
+ \catcode123=1 % {
+ \catcode125=2 % }
+ \expandafter\let\expandafter\x\csname ver at intcalc.sty\endcsname
+ \ifx\x\relax % plain-TeX, first loading
+ \else
+ \def\empty{}%
+ \ifx\x\empty % LaTeX, first loading,
+ % variable is initialized, but \ProvidesPackage not yet seen
+ \else
+ \expandafter\ifx\csname PackageInfo\endcsname\relax
+ \def\x#1#2{%
+ \immediate\write-1{Package #1 Info: #2.}%
+ }%
+ \else
+ \def\x#1#2{\PackageInfo{#1}{#2, stopped}}%
+ \fi
+ \x{intcalc}{The package is already loaded}%
+ \aftergroup\endinput
+ \fi
+ \fi
+\endgroup%
+\begingroup\catcode61\catcode48\catcode32=10\relax%
+ \catcode13=5 % ^^M
+ \endlinechar=13 %
+ \catcode35=6 % #
+ \catcode39=12 % '
+ \catcode40=12 % (
+ \catcode41=12 % )
+ \catcode44=12 % ,
+ \catcode45=12 % -
+ \catcode46=12 % .
+ \catcode47=12 % /
+ \catcode58=12 % :
+ \catcode64=11 % @
+ \catcode91=12 % [
+ \catcode93=12 % ]
+ \catcode123=1 % {
+ \catcode125=2 % }
+ \expandafter\ifx\csname ProvidesPackage\endcsname\relax
+ \def\x#1#2#3[#4]{\endgroup
+ \immediate\write-1{Package: #3 #4}%
+ \xdef#1{#4}%
+ }%
+ \else
+ \def\x#1#2[#3]{\endgroup
+ #2[{#3}]%
+ \ifx#1\@undefined
+ \xdef#1{#3}%
+ \fi
+ \ifx#1\relax
+ \xdef#1{#3}%
+ \fi
+ }%
+ \fi
+\expandafter\x\csname ver at intcalc.sty\endcsname
+\ProvidesPackage{intcalc}%
+ [2019/12/15 v1.3 Expandable calculations with integers (HO)]%
+\begingroup\catcode61\catcode48\catcode32=10\relax%
+ \catcode13=5 % ^^M
+ \endlinechar=13 %
+ \catcode123=1 % {
+ \catcode125=2 % }
+ \catcode64=11 % @
+ \def\x{\endgroup
+ \expandafter\edef\csname InCa at AtEnd\endcsname{%
+ \endlinechar=\the\endlinechar\relax
+ \catcode13=\the\catcode13\relax
+ \catcode32=\the\catcode32\relax
+ \catcode35=\the\catcode35\relax
+ \catcode61=\the\catcode61\relax
+ \catcode64=\the\catcode64\relax
+ \catcode123=\the\catcode123\relax
+ \catcode125=\the\catcode125\relax
+ }%
+ }%
+\x\catcode61\catcode48\catcode32=10\relax%
+\catcode13=5 % ^^M
+\endlinechar=13 %
+\catcode35=6 % #
+\catcode64=11 % @
+\catcode123=1 % {
+\catcode125=2 % }
+\def\TMP at EnsureCode#1#2{%
+ \edef\InCa at AtEnd{%
+ \InCa at AtEnd
+ \catcode#1=\the\catcode#1\relax
+ }%
+ \catcode#1=#2\relax
+}
+\TMP at EnsureCode{33}{12}% !
+\TMP at EnsureCode{40}{12}% (
+\TMP at EnsureCode{41}{12}% )
+\TMP at EnsureCode{42}{12}% *
+\TMP at EnsureCode{43}{12}% +
+\TMP at EnsureCode{45}{12}% -
+\TMP at EnsureCode{47}{12}% /
+\TMP at EnsureCode{58}{11}% : (letter!)
+\TMP at EnsureCode{60}{12}% <
+\TMP at EnsureCode{62}{12}% >
+\TMP at EnsureCode{63}{14}% ? (comment!)
+\edef\InCa at AtEnd{\InCa at AtEnd\noexpand\endinput}
+\begingroup\expandafter\expandafter\expandafter\endgroup
+\expandafter\ifx\csname InCa at TestMode\endcsname\relax
+\else
+ \catcode63=9 % ? (ignore)
+\fi
+? \let\InCa@@TestMode\InCa at TestMode
+\def\InCa at Abs#1#2!{%
+ \ifx#1-%
+ #2%
+ \else
+ #1#2%
+ \fi
+}
+\def\InCa at Sgn#1#2!{%
+ \ifx#1-%
+ -1%
+ \else
+ \ifx#10%
+ 0%
+ \else
+ 1%
+ \fi
+ \fi
+}
+\def\InCa at Min#1!#2!{%
+ \ifnum#1<#2 %
+ #1%
+ \else
+ #2%
+ \fi
+}
+\def\InCa at Max#1!#2!{%
+ \ifnum#1>#2 %
+ #1%
+ \else
+ #2%
+ \fi
+}
+\def\InCa at Cmp#1!#2!{%
+ \ifnum#1=#2 %
+ 0%
+ \else
+ \ifnum#1<#2 %
+ -%
+ \fi
+ 1%
+ \fi
+}
+\def\InCa at Fac#1!{%
+ \ifcase#1 1% 0!
+ \or 1% 1!
+ \or 2% 2!
+ \or 6% 3!
+ \or 24% 4!
+ \or 120% 5!
+ \or 720% 6!
+ \or 5040% 7!
+ \or 40320% 8!
+ \or 362880% 9!
+ \or 3628800% 10!
+ \or 39916800% 11!
+ \or 479001600% 12!
+ \else
+ \ifnum#1<\z@
+ 0\IntCalcError:FacNegative%
+ \else
+ 0\IntCalcError:FacOverflow%
+ \fi
+ \fi
+}
+\begingroup\expandafter\expandafter\expandafter\endgroup
+\expandafter\ifx\csname numexpr\endcsname\relax
+\else
+ \def\intcalcNum#1{%
+ \the\numexpr#1\relax
+ }%
+ \def\intcalcInv#1{%
+ \number-\intcalcNum{#1} %
+ }%
+ \def\intcalcAbs#1{%
+ \number\expandafter\InCa at Abs\the\numexpr#1! %
+ }%
+ \def\intcalcSgn#1{%
+ \number\expandafter\InCa at Sgn\the\numexpr#1! %
+ }%
+ \def\intcalcMin#1#2{%
+ \number\expandafter\InCa at Min
+ \the\numexpr#1\expandafter!%
+ \the\numexpr#2! %
+ }%
+ \def\intcalcMax#1#2{%
+ \number\expandafter\InCa at Max
+ \the\numexpr#1\expandafter!%
+ \the\numexpr#2! %
+ }%
+ \def\intcalcCmp#1#2{%
+ \number\expandafter\InCa at Cmp
+ \the\numexpr#1\expandafter!\the\numexpr#2! %
+ }%
+ \def\intcalcInc#1{%
+ \the\numexpr#1+1\relax
+ }%
+ \def\intcalcDec#1{%
+ \the\numexpr#1-1\relax
+ }%
+ \def\IntCalcInc#1!{%
+ \the\numexpr#1+1\relax
+ }%
+ \def\IntCalcDec#1!{%
+ \the\numexpr#1-1\relax
+ }%
+ \def\intcalcAdd#1#2{%
+ \the\numexpr#1+(#2)\relax
+ }%
+ \def\intcalcSub#1#2{%
+ \the\numexpr#1-(#2)\relax
+ }%
+ \def\IntCalcAdd#1!#2!{%
+ \the\numexpr#1+#2\relax
+ }%
+ \def\IntCalcSub#1!#2!{%
+ \the\numexpr#1-#2\relax
+ }%
+ \def\intcalcShl#1{%
+ \the\numexpr(#1)*2\relax
+ }%
+ \def\intcalcShr#1{%
+ \number\expandafter\InCa at Shr\the\numexpr#1! %
+ }%
+ \def\IntCalcShl#1!{%
+ \the\numexpr#1*2\relax
+ }%
+ \def\IntCalcShr#1!{%
+ \the\numexpr\ifodd#1 (#1-1)\else#1\fi/2\relax
+ }%
+ \def\InCa at Shr#1#2!{%
+ \ifx#1-%
+ -\InCa at Shr#2!%
+ \else
+ \ifodd#1#2 %
+ \the\numexpr(#1#2-1)/2\relax
+ \else
+ \the\numexpr#1#2/2\relax
+ \fi
+ \fi
+ }%
+ \def\intcalcMul#1#2{%
+ \the\numexpr(#1)*(#2)\relax
+ }%
+ \def\IntCalcMul#1!#2!{%
+ \the\numexpr#1*#2\relax
+ }%
+ \def\intcalcSqr#1{%
+ \number\expandafter\InCa at Sqr\the\numexpr#1! %
+ }%
+ \def\InCa at Sqr#1!{%
+ \the\numexpr#1*#1\relax
+ }%
+ \def\intcalcFac#1{%
+ \number\expandafter\InCa at Fac\the\numexpr#1! %
+ }%
+ \def\intcalcPow#1#2{%
+ \number\expandafter\InCa at Pow
+ \the\numexpr#1\expandafter!%
+ \the\numexpr#2! %
+ }%
+ \def\InCa at Pow#1#2!#3#4!{%
+ \ifcase#3#4 % power = 0
+ 1%
+ \or % power = 1
+ #1#2%
+ \or % power = 2
+ \the\numexpr#1#2*#1#2\relax
+ \else
+ \ifcase#1#2 % basis = 0, power <> 0
+ 0%
+ \ifx#3-% power < 0
+ 0\IntCalcError:DivisionByZero%
+ \fi
+ \or
+ 1% basis = 1
+ \else
+ \ifnum#1#2=\m at ne % basis = -1
+ \ifodd#3#4 %
+ -%
+ \fi
+ 1%
+ \else % |basis| > 1
+ \ifx#3-% power < 0
+ 0%
+ \else % power > 2
+ \InCa at PowRec#1#2!#3#4!1!%
+ \fi
+ \fi
+ \fi
+ \fi
+ }%
+ \def\InCa at PowRec#1!#2!#3!{%
+ \ifnum#2=\@ne
+ \the\numexpr#1*#3\relax
+ \else
+ \ifodd#2 %
+ \expandafter\InCa at PowRec
+ \the\numexpr#1*#1\expandafter!%
+ \the\numexpr(#2-1)/2\expandafter!%
+ \the\numexpr#1*#3\expandafter\expandafter\expandafter!%
+ \else
+ \expandafter\InCa at PowRec
+ \the\numexpr#1*#1\expandafter!%
+ \the\numexpr(#2-1)/2\expandafter!%
+ \number#3\expandafter\expandafter\expandafter!%
+ \fi
+ \fi
+ }%
+ \def\intcalcDiv#1#2{%
+ \number\expandafter\InCa at Div
+ \the\numexpr#1\expandafter!%
+ \the\numexpr#2! %
+ }%
+ \def\InCa at Div#1!#2!{%
+ \ifcase#2 %
+ 0\IntCalcError:DivisionByZero%
+ \else
+ \ifcase#1 %
+ 0%
+ \else
+ \expandafter\InCa@@Div
+ \romannumeral 0%
+ \ifnum#1<\z@
+ \expandafter-\number-#1%
+ \else
+ \expandafter+\number#1%
+ \fi
+ \expandafter!%
+ \romannumeral 0%
+ \ifnum#2<\z@
+ \expandafter-\number-#2%
+ \else
+ \expandafter+\number#2%
+ \fi
+ !%
+ \fi
+ \fi
+ }%
+ \def\InCa at Temp#1{%
+ \def\IntCalcDiv##1!##2!{%
+ \number
+ \ifcase##2 %
+ 0\IntCalcError:DivisionByZero%
+ \else
+ \ifcase##1 %
+ 0%
+ \else
+ \the\numexpr(##1-(##2-1)/2)/##2\relax
+ \fi
+ \fi
+ #1%
+ }%
+ }%
+ \InCa at Temp{ }%
+ \def\InCa@@Div#1#2!#3#4!{%
+ #1#3%
+ \the\numexpr(#2-(#4-1)/2)/#4\relax
+ }%
+ \def\intcalcMod#1#2{%
+ \number\expandafter\InCa at Mod
+ \the\numexpr#1\expandafter!%
+ \the\numexpr#2! %
+ }%
+ \def\InCa at Mod#1!#2!{%
+ \ifcase#2 %
+ 0\IntCalcError:DivisionByZero%
+ \else
+ \ifcase#1 %
+ 0%
+ \else
+ \expandafter\InCa@@Mod
+ \romannumeral 0%
+ \ifnum#1<\z@
+ \expandafter-\number-#1%
+ \else
+ \expandafter+\number#1%
+ \fi
+ \expandafter!%
+ \romannumeral 0%
+ \ifnum#2<\z@
+ \expandafter-\number-#2%
+ \else
+ \expandafter+\number#2%
+ \fi
+ !%
+ \fi
+ \fi
+ }%
+ \def\InCa at Temp#1{%
+ \def\IntCalcMod##1!##2!{%
+ \number
+ \ifcase##2 %
+ 0\IntCalcError:DivisionByZero%
+ \else
+ \ifcase##1 %
+ 0%
+ \else
+ \the\numexpr##1-(##1-(##2-1)/2)/##2*##2\relax
+ \fi
+ \fi
+ #1%
+ }%
+ }%
+ \InCa at Temp{ }%
+ \def\InCa@@Mod#1#2!#3#4!{%
+ \if#3+%
+ \if#1+%
+ \the\numexpr#2-\InCa@@Div+#2!+#4!*#4\relax
+ \else
+ \expandafter\InCa at ModX
+ \the\numexpr-#2+\InCa@@Div+#2!+#4!*#4!#4!%
+ \fi
+ \else
+ -%
+ \if#1+%
+ \expandafter\InCa at ModX
+ \the\numexpr-#2+\InCa@@Div+#2!+#4!*#4!#4!%
+ \else
+ \the\numexpr#2-\InCa@@Div+#2!+#4!*#4\relax
+ \fi
+ \fi
+ }%
+ \def\InCa at ModX#1!#2!{%
+ \ifcase#1 %
+ 0%
+ \else
+ \the\numexpr#1+#2\relax
+ \fi
+ }%
+ \expandafter\InCa at AtEnd
+\fi%
+\def\intcalcNum#1{%
+ \number\expandafter\InCa at FirstOfOne\number#1! %
+}
+\def\intcalcInv#1{%
+ \number\expandafter\InCa at FirstOfOne\number-#1! %
+}
+\def\InCa at FirstOfOne#1!{#1}
+\def\intcalcAbs#1{%
+ \number\expandafter\InCa at Abs\number#1! %
+}
+\def\intcalcSgn#1{%
+ \number\expandafter\InCa at Sgn\number#1! %
+}
+\def\intcalcMin#1#2{%
+ \number\expandafter\InCa at Min
+ \number\number#1\expandafter!\number#2! %
+}
+\def\intcalcMax#1#2{%
+ \number\expandafter\InCa at Max
+ \number\number#1\expandafter!\number#2! %
+}
+\def\intcalcCmp#1#2{%
+ \number\expandafter\InCa at Cmp
+ \number\number#1\expandafter!\number#2! %
+}%
+\def\intcalcInc#1{%
+ \number\expandafter\InCa at IncSwitch\number#1! %
+}
+\def\InCa at IncSwitch#1#2!{%
+ \ifx#1-%
+ -%
+ \csname InCa at Empty%
+ \InCa at Dec#2!%
+ \else
+ \csname InCa at Empty%
+ \InCa at Inc#1#2!%
+ \fi
+}
+\def\intcalcDec#1{%
+ \number\expandafter\InCa at DecSwitch\number#1! %
+}
+\def\InCa at DecSwitch#1#2!{%
+ \ifx#1-%
+ -%
+ \csname InCa at Empty%
+ \expandafter\InCa at Inc#2!%
+ \else
+ \ifx#10%
+ -1%
+ \else
+ \csname InCa at Empty%
+ \InCa at Dec#1#2!%
+ \fi
+ \fi
+}
+\def\IntCalcInc#1!{%
+ \number\csname InCa at Empty\InCa at Inc#1! %
+}
+\def\IntCalcDec#1!{%
+ \number\csname InCa at Empty\InCa at Dec#1! %
+}
+\def\InCa at Inc#1#2{%
+ \ifx#2!%
+ \csname InCa at IncDigit#1\endcsname1%
+ \else
+ \csname InCa at IncDigit#1%
+ \expandafter\InCa at Inc\expandafter#2%
+ \fi
+}
+\def\InCa at Temp#1#2{%
+ \expandafter\def\csname InCa at IncDigit#1\endcsname##1{%
+ \endcsname
+ 0%
+ \ifcase##1 %
+ #1%
+ \else
+ #2%
+ \fi
+ }%
+}
+\InCa at Temp 01
+\InCa at Temp 12
+\InCa at Temp 23
+\InCa at Temp 34
+\InCa at Temp 45
+\InCa at Temp 56
+\InCa at Temp 67
+\InCa at Temp 78
+\InCa at Temp 89
+\expandafter\def\csname InCa at IncDigit9\endcsname#1{%
+ \expandafter\endcsname
+ \ifcase#1 %
+ 09%
+ \else
+ 10%
+ \fi
+}
+\def\InCa at Dec#1#2{%
+ \ifx#2!%
+ \csname InCa at DecDigit#1\endcsname1%
+ \else
+ \csname InCa at DecDigit#1%
+ \expandafter\InCa at Dec\expandafter#2%
+ \fi
+}
+\def\InCa at Temp#1#2{%
+ \expandafter\def\csname InCa at DecDigit#1\endcsname##1{%
+ \endcsname
+ 0%
+ \ifcase##1 %
+ #1%
+ \else
+ #2%
+ \fi
+ }%
+}
+\InCa at Temp 98
+\InCa at Temp 87
+\InCa at Temp 76
+\InCa at Temp 65
+\InCa at Temp 54
+\InCa at Temp 43
+\InCa at Temp 32
+\InCa at Temp 21
+\InCa at Temp 10
+\expandafter\def\csname InCa at DecDigit0\endcsname#1{%
+ \expandafter\endcsname
+ \ifcase#1 %
+ 00%
+ \else
+ 19%
+ \fi
+}
+\def\intcalcAdd#1#2{%
+ \number
+ \expandafter\InCa at AddSwitch
+ \number\number#1\expandafter!%
+ \number#2! %
+}
+\def\intcalcSub#1#2{%
+ \number
+ \expandafter\InCa at AddSwitch
+ \number\number#1\expandafter!%
+ \number-\number#2! %
+}
+\def\InCa at AddSwitch#1!#2!{%
+ \ifnum#1<\z@
+ \ifnum#2<\z@
+ -%
+ \ifnum#1<#2 %
+ \expandafter\InCa at Add\number-#1\expandafter!%
+ \@gobble#2!%
+ \else
+ \expandafter\InCa at Add\number-#2\expandafter!%
+ \@gobble#1!%
+ \fi
+ \else
+ \ifnum-#1>#2 %
+ -%
+ \expandafter\InCa at Sub\@gobble#1!#2!%
+ \else
+ \expandafter\InCa at Sub\number#2\expandafter!%
+ \@gobble#1!%
+ \fi
+ \fi
+ \else
+ \ifnum#2<\z@
+ \ifnum#1>-#2 %
+ \expandafter\InCa at Sub\number#1\expandafter!%
+ \@gobble#2!%
+ \else
+ -%
+ \expandafter\InCa at Sub\@gobble#2!#1!%
+ \fi
+ \else
+ \ifnum#1>#2 %
+ \InCa at Add#1!#2!%
+ \else
+ \InCa at Add#2!#1!%
+ \fi
+ \fi
+ \fi
+}
+\def\IntCalcAdd#1!#2!{%
+ \number\InCa at Add#1!#2! %
+}
+\def\IntCalcSub#1!#2!{%
+ \number\InCa at Sub#1!#2! %
+}
+\begingroup
+ \def\x#1{\endgroup
+ \let\InCa at Space= #1%
+ }%
+\x{ }
+\def\InCa at Add#1!#2!{%
+ \ifcase#2 %
+ #1%
+ \else
+ \InCa@@Add#1!#2!000000000\InCa at Space
+ \fi
+}
+\def\InCa at Sub#1!#2!{%
+ \ifnum#1=#2 %
+ 0%
+ \else
+ \InCa@@Sub#1!#2!000000000\InCa at Space
+ \fi
+}
+\def\InCa@@Add#1!#2#3!{%
+ \ifx\InCa at Empty#3\InCa at Empty
+ \@ReturnAfterElseFi{%
+ \InCa@@@Add!!#1!#2%
+ }%
+ \else
+ \@ReturnAfterFi{%
+ \InCa@@Add#1!#3!#2%
+ }%
+ \fi
+}
+\def\InCa@@Sub#1!#2#3!{%
+ \ifx\InCa at Empty#3\InCa at Empty
+ \@ReturnAfterElseFi{%
+ \InCa@@@Sub!!#1!#2%
+ }%
+ \else
+ \@ReturnAfterFi{%
+ \InCa@@Sub#1!#3!#2%
+ }%
+ \fi
+}
+\def\InCa@@@Add#1!#2!#3#4!#5{%
+ \ifx\InCa at Empty#4\InCa at Empty
+ \csname InCa at Empty%
+ \@ReturnAfterElseFi{%
+ \InCa at ProcessAdd#1#3!#5#2%
+ }%
+ \else
+ \@ReturnAfterFi{%
+ \InCa@@@Add#1#3!#5#2!#4!%
+ }%
+ \fi
+}
+\def\InCa@@@Sub#1!#2!#3#4!#5{%
+ \ifx\InCa at Empty#4\InCa at Empty
+ \csname @gobble%
+ \@ReturnAfterElseFi{%
+ \InCa at ProcessSub#1#3!#5#2%
+ }%
+ \else
+ \@ReturnAfterFi{%
+ \InCa@@@Sub#1#3!#5#2!#4!%
+ }%
+ \fi
+}
+\def\InCa at ProcessAdd#1#2!#3#4{%
+ \ifx\InCa at Empty#2\InCa at Empty
+ \csname InCa at AddDigit#1\endcsname#3%
+ \romannumeral0#4%
+ \else
+ \csname InCa at AddDigit#1\csname InCa at DigitCarry#3%
+ \@ReturnAfterFi{%
+ \InCa at ProcessAdd#2!#4%
+ }%
+ \fi
+}
+\def\InCa at ProcessSub#1#2!#3#4{%
+ \ifx\InCa at Empty#2\InCa at Empty
+ \csname InCa at SubDigit#1\endcsname#3%
+ \romannumeral0#4%
+ \else
+ \csname InCa at SubDigit#1\csname InCa at DigitCarry#3%
+ \@ReturnAfterFi{%
+ \InCa at ProcessSub#2!#4%
+ }%
+ \fi
+}
+\def\InCa at Temp#1#2{%
+ \expandafter\def\csname InCa at DigitCarry#1\endcsname##1{%
+ \ifcase##1 %
+ \endcsname#1%
+ \else
+ \endcsname#2%
+ \fi
+ }%
+}
+\InCa at Temp 01
+\InCa at Temp 12
+\InCa at Temp 23
+\InCa at Temp 34
+\InCa at Temp 45
+\InCa at Temp 56
+\InCa at Temp 67
+\InCa at Temp 78
+\InCa at Temp 89
+\InCa at Temp 9{{10}}
+\expandafter\def\csname InCa at AddDigit0\endcsname#1{%
+ \ifnum#1>9 %
+ \endcsname10%
+ \else
+ \endcsname0#1%
+ \fi
+}
+\def\InCa at Temp#1#2#3{%
+ \expandafter\def\csname InCa at AddDigit#1\endcsname##1{%
+ \ifnum##1>#2 %
+ \endcsname 1%
+ \else
+ \endcsname 0%
+ \fi
+ \ifcase##1 #1% 0
+ #3%
+ \else #1% 10
+ \fi
+ }%
+}
+\InCa at Temp 18{%
+ \or 2% 1
+ \or 3% 2
+ \or 4% 3
+ \or 5% 4
+ \or 6% 5
+ \or 7% 6
+ \or 8% 7
+ \or 9% 8
+ \or 0% 9
+}%
+\InCa at Temp 27{%
+ \or 3% 1
+ \or 4% 2
+ \or 5% 3
+ \or 6% 4
+ \or 7% 5
+ \or 8% 6
+ \or 9% 7
+ \or 0% 8
+ \or 1% 9
+}%
+\InCa at Temp 36{%
+ \or 4% 1
+ \or 5% 2
+ \or 6% 3
+ \or 7% 4
+ \or 8% 5
+ \or 9% 6
+ \or 0% 7
+ \or 1% 8
+ \or 2% 9
+}%
+\InCa at Temp 45{%
+ \or 5% 1
+ \or 6% 2
+ \or 7% 3
+ \or 8% 4
+ \or 9% 5
+ \or 0% 6
+ \or 1% 7
+ \or 2% 8
+ \or 3% 9
+}%
+\InCa at Temp 54{%
+ \or 6% 1
+ \or 7% 2
+ \or 8% 3
+ \or 9% 4
+ \or 0% 5
+ \or 1% 6
+ \or 2% 7
+ \or 3% 8
+ \or 4% 9
+}%
+\InCa at Temp 63{%
+ \or 7% 1
+ \or 8% 2
+ \or 9% 3
+ \or 0% 4
+ \or 1% 5
+ \or 2% 6
+ \or 3% 7
+ \or 4% 8
+ \or 5% 9
+}%
+\InCa at Temp 72{%
+ \or 8% 1
+ \or 9% 2
+ \or 0% 3
+ \or 1% 4
+ \or 2% 5
+ \or 3% 6
+ \or 4% 7
+ \or 5% 8
+ \or 6% 9
+}%
+\InCa at Temp 81{%
+ \or 9% 1
+ \or 0% 2
+ \or 1% 3
+ \or 2% 4
+ \or 3% 5
+ \or 4% 6
+ \or 5% 7
+ \or 6% 8
+ \or 7% 9
+}%
+\InCa at Temp 90{%
+ \or 0% 1
+ \or 1% 2
+ \or 2% 3
+ \or 3% 4
+ \or 4% 5
+ \or 5% 6
+ \or 6% 7
+ \or 7% 8
+ \or 8% 9
+}%
+\def\InCa at Temp#1#2{%
+ \expandafter\def\csname InCa at SubDigit#1\endcsname##1{%
+ \ifnum##1>#1 %
+ \endcsname 1%
+ \else
+ \endcsname 0%
+ \fi
+ \ifcase##1 #1% 0
+ #2%
+ \else #1% 10
+ \fi
+ }%
+}
+\InCa at Temp 0{%
+ \or 9% 1
+ \or 8% 2
+ \or 7% 3
+ \or 6% 4
+ \or 5% 5
+ \or 4% 6
+ \or 3% 7
+ \or 2% 8
+ \or 1% 9
+}
+\InCa at Temp 1{%
+ \or 0% 1
+ \or 9% 2
+ \or 8% 3
+ \or 7% 4
+ \or 6% 5
+ \or 5% 6
+ \or 4% 7
+ \or 3% 8
+ \or 2% 9
+}
+\InCa at Temp 2{%
+ \or 1% 1
+ \or 0% 2
+ \or 9% 3
+ \or 8% 4
+ \or 7% 5
+ \or 6% 6
+ \or 5% 7
+ \or 4% 8
+ \or 3% 9
+}
+\InCa at Temp 3{%
+ \or 2% 1
+ \or 1% 2
+ \or 0% 3
+ \or 9% 4
+ \or 8% 5
+ \or 7% 6
+ \or 6% 7
+ \or 5% 8
+ \or 4% 9
+}
+\InCa at Temp 4{%
+ \or 3% 1
+ \or 2% 2
+ \or 1% 3
+ \or 0% 4
+ \or 9% 5
+ \or 8% 6
+ \or 7% 7
+ \or 6% 8
+ \or 5% 9
+}
+\InCa at Temp 5{%
+ \or 4% 1
+ \or 3% 2
+ \or 2% 3
+ \or 1% 4
+ \or 0% 5
+ \or 9% 6
+ \or 8% 7
+ \or 7% 8
+ \or 6% 9
+}
+\InCa at Temp 6{%
+ \or 5% 1
+ \or 4% 2
+ \or 3% 3
+ \or 2% 4
+ \or 1% 5
+ \or 0% 6
+ \or 9% 7
+ \or 8% 8
+ \or 7% 9
+}
+\InCa at Temp 7{%
+ \or 6% 1
+ \or 5% 2
+ \or 4% 3
+ \or 3% 4
+ \or 2% 5
+ \or 1% 6
+ \or 0% 7
+ \or 9% 8
+ \or 8% 9
+}
+\InCa at Temp 8{%
+ \or 7% 1
+ \or 6% 2
+ \or 5% 3
+ \or 4% 4
+ \or 3% 5
+ \or 2% 6
+ \or 1% 7
+ \or 0% 8
+ \or 9% 9
+}
+\InCa at Temp 9{%
+ \or 8% 1
+ \or 7% 2
+ \or 6% 3
+ \or 5% 4
+ \or 4% 5
+ \or 3% 6
+ \or 2% 7
+ \or 1% 8
+ \or 0% 9
+}
+\def\intcalcShl#1{%
+ \number\expandafter\InCa at ShlSwitch\number#1! %
+}
+\def\InCa at ShlSwitch#1#2!{%
+ \ifx#1-%
+ -\csname InCa at Empty%
+ \InCa at Shl#2!%
+ \else
+ \csname InCa at Empty%
+ \InCa at Shl#1#2!%
+ \fi
+}
+\def\IntCalcShl#1!{%
+ \number
+ \csname InCa at Empty%
+ \InCa at Shl#1! %
+}
+\def\InCa at Shl#1#2{%
+ \ifx#2!%
+ \csname InCa at ShlDigit#1\endcsname0%
+ \else
+ \csname InCa at ShlDigit#1%
+ \@ReturnAfterFi{%
+ \InCa at Shl#2%
+ }%
+ \fi
+}
+\expandafter\def\csname InCa at ShlDigit0\endcsname{%
+ \endcsname0%
+}
+\def\InCa at Temp#1#2#3#4#5{%
+ \expandafter\def\csname InCa at ShlDigit#1\endcsname##1{%
+ \expandafter\endcsname
+ \ifcase##1 %
+ #2#3%
+ \else
+ #4#5%
+ \fi
+ }%
+}
+\InCa at Temp 10203
+\InCa at Temp 20405
+\InCa at Temp 30607
+\InCa at Temp 40809
+\InCa at Temp 51011
+\InCa at Temp 61213
+\InCa at Temp 71415
+\InCa at Temp 81617
+\InCa at Temp 91819
+\def\intcalcShr#1{%
+ \number\expandafter\InCa at ShrSwitch\number#1! %
+}
+\def\InCa at ShrSwitch#1#2!{%
+ \ifx#1-%
+ -\InCa at Shr#2!%
+ \else
+ \InCa at Shr#1#2!%
+ \fi
+}
+\def\IntCalcShr#1!{%
+ \number\InCa at Shr#1! %
+}
+\def\InCa at Shr#1#2{%
+ \InCa at ShrDigit#1!%
+ \ifx#2!%
+ \else
+ \@ReturnAfterFi{%
+ \ifodd#1 %
+ \@ReturnAfterElseFi{%
+ \InCa at Shr{1#2}%
+ }%
+ \else
+ \expandafter\InCa at Shr\expandafter#2%
+ \fi
+ }%
+ \fi
+}
+\def\InCa at ShrDigit#1!{%
+ \ifcase#1 0% 0
+ \or 0% 1
+ \or 1% 2
+ \or 1% 3
+ \or 2% 4
+ \or 2% 5
+ \or 3% 6
+ \or 3% 7
+ \or 4% 8
+ \or 4% 9
+ \or 5% 10
+ \or 5% 11
+ \or 6% 12
+ \or 6% 13
+ \or 7% 14
+ \or 7% 15
+ \or 8% 16
+ \or 8% 17
+ \or 9% 18
+ \or 9% 19
+ \fi
+}
+\def\InCa at Temp#1{%
+ \def\InCa at Tim##1##2{%
+ \number
+ \ifcase##2 % 0
+ 0%
+ \or % 1
+ ##1%
+ \else % 2-9
+ \csname InCa at Empty%
+ \InCa at ProcessTim##2##1!%
+ \fi
+ #1%
+ }%
+}
+\InCa at Temp{ }
+\def\InCa at ProcessTim#1#2#3{%
+ \ifx#3!%
+ \csname InCa at TimDigit#2\endcsname#10%
+ \else
+ \csname InCa at TimDigit#2\csname InCa at Param#1%
+ \@ReturnAfterFi{%
+ \InCa at ProcessTim#1#3%
+ }%
+ \fi
+}
+\def\InCa at Temp#1{%
+ \expandafter\def\csname InCa at Param#1\endcsname{%
+ \endcsname#1%
+ }%
+}
+\InCa at Temp 0%
+\InCa at Temp 1%
+\InCa at Temp 2%
+\InCa at Temp 3%
+\InCa at Temp 4%
+\InCa at Temp 5%
+\InCa at Temp 6%
+\InCa at Temp 7%
+\InCa at Temp 8%
+\InCa at Temp 9%
+\expandafter\def\csname InCa at TimDigit0\endcsname#1#2{%
+ \endcsname
+ 0#2%
+}
+\expandafter\def\csname InCa at TimDigit1\endcsname#1#2{%
+ \ifcase#2 %
+ \endcsname 0#1%
+ \else
+ \csname InCa at AddDigit#1\endcsname #2%
+ \fi
+}
+\def\InCa at Temp#1#2{%
+ \expandafter\def\csname InCa at TimDigit#1\endcsname##1{%
+ \expandafter\InCa at TimDigitCarry
+ \number
+ \ifcase##1 0% 0
+ #2%
+ \fi
+ !%
+ }%
+}
+\InCa at Temp 2{%
+ \or 2% 1
+ \or 4% 2
+ \or 6% 3
+ \or 8% 4
+ \or 10% 5
+ \or 12% 6
+ \or 14% 7
+ \or 16% 8
+ \or 18% 9
+}
+\InCa at Temp 3{%
+ \or 3% 1
+ \or 6% 2
+ \or 9% 3
+ \or 12% 4
+ \or 15% 5
+ \or 18% 6
+ \or 21% 7
+ \or 24% 8
+ \or 27% 9
+}
+\InCa at Temp 4{%
+ \or 4% 1
+ \or 8% 2
+ \or 12% 3
+ \or 16% 4
+ \or 20% 5
+ \or 24% 6
+ \or 28% 7
+ \or 32% 8
+ \or 36% 9
+}
+\InCa at Temp 5{%
+ \or 5% 1
+ \or 10% 2
+ \or 15% 3
+ \or 20% 4
+ \or 25% 5
+ \or 30% 6
+ \or 35% 7
+ \or 40% 8
+ \or 45% 9
+}
+\InCa at Temp 6{%
+ \or 6% 1
+ \or 12% 2
+ \or 18% 3
+ \or 24% 4
+ \or 30% 5
+ \or 36% 6
+ \or 42% 7
+ \or 48% 8
+ \or 54% 9
+}
+\InCa at Temp 7{%
+ \or 7% 1
+ \or 14% 2
+ \or 21% 3
+ \or 28% 4
+ \or 35% 5
+ \or 42% 6
+ \or 49% 7
+ \or 56% 8
+ \or 63% 9
+}
+\InCa at Temp 8{%
+ \or 8% 1
+ \or 16% 2
+ \or 24% 3
+ \or 32% 4
+ \or 40% 5
+ \or 48% 6
+ \or 56% 7
+ \or 64% 8
+ \or 72% 9
+}
+\InCa at Temp 9{%
+ \or 9% 1
+ \or 18% 2
+ \or 27% 3
+ \or 36% 4
+ \or 45% 5
+ \or 54% 6
+ \or 63% 7
+ \or 72% 8
+ \or 81% 9
+}
+\def\InCa at TimDigitCarry#1!{%
+ \ifnum#1<10 %
+ \csname InCa at AddDigit#1\expandafter\endcsname
+ \else
+ \@ReturnAfterFi{%
+ \InCa@@TimDigitCarry#1!%
+ }%
+ \fi
+}
+\def\InCa@@TimDigitCarry#1#2!#3{%
+ \csname InCa at DigitCarry#1%
+ \csname InCa at AddDigit#2\endcsname #3%
+}
+\def\intcalcMul#1#2{%
+ \number
+ \expandafter\InCa at MulSwitch
+ \number\number#1\expandafter!%
+ \number#2! %
+}
+\def\InCa at MulSwitch#1!#2!{%
+ \ifnum#1<\z@
+ \ifnum#2<\z@
+ \ifnum#1<#2 %
+ \expandafter\InCa at Mul\number-#1\expandafter!%
+ \@gobble#2!%
+ \else
+ \expandafter\InCa at Mul\number-#2\expandafter!%
+ \@gobble#1!%
+ \fi
+ \else
+ -%
+ \ifnum-#1>#2 %
+ \expandafter\InCa at Mul\@gobble#1!#2!%
+ \else
+ \expandafter\InCa at Mul\number#2\expandafter!%
+ \@gobble#1!%
+ \fi
+ \fi
+ \else
+ \ifnum#2<\z@
+ -%
+ \ifnum#1>-#2 %
+ \expandafter\InCa at Mul\number#1\expandafter!%
+ \@gobble#2!%
+ \else
+ \expandafter\InCa at Mul\@gobble#2!#1!%
+ \fi
+ \else
+ \ifnum#1>#2 %
+ \InCa at Mul#1!#2!%
+ \else
+ \InCa at Mul#2!#1!%
+ \fi
+ \fi
+ \fi
+}
+\def\IntCalcMul#1!#2!{%
+ \number\InCa at Mul#1!#2! %
+}
+\def\InCa at Mul#1!#2!{%
+ \ifcase#2 %
+ 0%
+ \or
+ #1%
+ \or
+ \csname InCa at Empty%
+ \expandafter\InCa at Shl#1!%
+ \else
+ \ifnum#2<10 %
+ \InCa at Tim{#1}#2%
+ \else
+ \InCa at ProcessMul!#2!#1!%
+ \fi
+ \fi
+}
+\def\InCa at ProcessMul#1!#2#3!#4!{%
+ \ifx\InCa at Empty#3\InCa at Empty
+ \expandafter\InCa at Add\number
+ #10\expandafter\expandafter\expandafter!%
+ \InCa at Tim{#4}#2!%
+ \else
+ \ifx\InCa at Empty#1\InCa at Empty
+ \expandafter\expandafter\expandafter\InCa at ProcessMul
+ \InCa at Tim{#4}#2!%
+ #3!#4!%
+ \else
+ \expandafter\InCa at ProcessMul\number
+ \expandafter\InCa at Add\number%
+ #10\expandafter\expandafter\expandafter!%
+ \InCa at Tim{#4}#2!!%
+ #3!#4!%
+ \fi
+ \fi
+}
+\def\intcalcSqr#1{%
+ \number\expandafter\InCa at Sqr\number#1! %
+}
+\def\InCa at Sqr#1#2!{%
+ \ifx#1-%
+ \InCa at Mul#2!#2!%
+ \else
+ \InCa at Mul#1#2!#1#2!%
+ \fi
+}
+\def\intcalcFac#1{%
+ \number\expandafter\InCa at Fac\number#1! %
+}
+\def\intcalcPow#1#2{%
+ \number\expandafter\InCa at Pow
+ \number\number#1\expandafter!%
+ \number#2! %
+}
+\def\InCa at Pow#1#2!#3#4!{%
+ \ifcase#3#4 % power = 0
+ 1%
+ \or % power = 1
+ #1#2%
+ \or % power = 2
+ \ifx#1-%
+ \InCa at Mul#2!#2!%
+ \else
+ \InCa at Mul#1#2!#1#2!%
+ \fi
+ \else
+ \ifcase#1#2 % basis = 0, power <> 0
+ 0%
+ \ifx#3-% power < 0
+ 0\IntCalcError:DivisionByZero%
+ \fi
+ \or
+ 1% basis = 1
+ \else
+ \ifnum#1#2=\m at ne % basis = -1
+ \ifodd#3#4 %
+ -%
+ \fi
+ 1%
+ \else % |basis| > 1
+ \ifx#3-% power < 0
+ 0%
+ \else % power > 2
+ \ifx#1-% basis < 0
+ \ifodd#3#4 %
+ -%
+ \fi
+ \InCa at PowRec#2!#3#4!1!%
+ \else
+ \InCa at PowRec#1#2!#3#4!1!%
+ \fi
+ \fi
+ \fi
+ \fi
+ \fi
+}
+\def\InCa at PowRec#1!#2!#3!{%
+ \ifnum#2=\@ne
+ \ifnum#1>#3 %
+ \InCa at Mul#1!#3!%
+ \else
+ \InCa at Mul#3!#1!%
+ \fi
+ \else
+ \expandafter\InCa at PowRec
+ \number\InCa at Mul#1!#1!\expandafter!%
+ \number\intcalcShr{#2}\expandafter!%
+ \number
+ \ifodd#2 %
+ \ifnum#1>#3 %
+ \InCa at Mul#1!#3!%
+ \else
+ \InCa at Mul#3!#1!%
+ \fi
+ \else
+ #3%
+ \fi
+ \expandafter!%
+ \fi
+}
+\def\intcalcDiv#1#2{%
+ \number\expandafter\InCa at Div
+ \number\number#1\expandafter!%
+ \number#2! %
+}
+\def\InCa at Div#1!#2!{%
+ \ifcase#2 %
+ 0\IntCalcError:DivisionByZero%
+ \else
+ \ifcase#1 %
+ 0%
+ \else
+ \expandafter\InCa at DivSwitch
+ \number#1\expandafter!%
+ \number#2!%
+ \fi
+ \fi
+}
+\def\InCa at Temp#1{%
+ \def\IntCalcDiv##1!##2!{%
+ \number
+ \ifcase##2 %
+ 0\IntCalcError:DivisionByZero%
+ \else
+ \ifcase##1 %
+ 0%
+ \else
+ \InCa@@Div##1!##2!%
+ \fi
+ \fi
+ #1%
+ }%
+}
+\InCa at Temp{ }%
+\def\InCa at DivSwitch#1!#2!{%
+ \ifnum#1<\z@
+ \ifnum#2<\z@
+ \expandafter\InCa@@Div\number-#1\expandafter!%
+ \@gobble#2!%
+ \else
+ -%
+ \expandafter\InCa@@Div\@gobble#1!#2!%
+ \fi
+ \else
+ \ifnum#2<\z@
+ -%
+ \expandafter\InCa@@Div\number#1\expandafter!%
+ \@gobble#2!%
+ \else
+ \InCa@@Div#1!#2!%
+ \fi
+ \fi
+}
+\def\InCa@@Div#1!#2!{%
+ \ifnum#1>#2 %
+ \ifcase#2 % 0 already catched
+? \IntCalcError:ThisCannotHappen%
+ \or % 1
+ #1%
+ \or % 2
+ \InCa at Shr#1!%
+ \else
+ \InCa at DivStart!#1!#2!#2!%
+ \fi
+ \else
+ \ifnum#1=#2 %
+ 1%
+ \else
+ 0%
+ \fi
+ \fi
+}
+\def\InCa at DivStart#1!#2#3!#4#5{%
+ \ifx#5!%
+ \@ReturnAfterElseFi{%
+ \InCa at DivStartI{#1#2}#3=!%
+ }%
+ \else
+ \@ReturnAfterFi{%
+ \InCa at DivStart{#1#2}!#3!#5%
+ }%
+ \fi
+}
+\def\InCa at DivStartI#1!#2!{%
+ \expandafter\InCa at DivStartII
+ \number#2\expandafter\expandafter\expandafter!%
+ \intcalcShl{#2}!%
+ #1!%
+}
+\def\InCa at DivStartII#1!#2!{%
+ \expandafter\InCa at DivStartIII
+ \number#1\expandafter!%
+ \number#2\expandafter\expandafter\expandafter!%
+ \intcalcShl{#2}!%
+}
+\def\InCa at DivStartIII#1!#2!#3!{%
+ \expandafter\InCa at DivStartIV
+ \number#1\expandafter!%
+ \number#2\expandafter!%
+ \number#3\expandafter!%
+ \number\InCa at Add#3!#2!\expandafter\expandafter\expandafter!%
+ \intcalcShl{#3}!%
+}
+\def\InCa at DivStartIV#1!#2!#3!#4!#5!#6!{%
+ \InCa at ProcessDiv#6!#1!#2!#3!#4!#5!/%
+}
+\def\InCa at ProcessDiv#1#2#3!#4!#5!#6!#7!#8!#9/{%
+ #9%
+ \ifnum#1<#4 % 0
+ 0%
+ \ifx#2=%
+ \else
+ \InCa at ProcessDiv{#1#2}#3!#4!#5!#6!#7!#8!%
+ \fi
+ \else % 1-9
+ \ifnum#1<#5 % 1
+ 1%
+ \ifx#2=%
+ \else
+ \expandafter\InCa at ProcessDiv\expandafter{%
+ \number\InCa at Sub#1!#4!%
+ #2%
+ }#3!#4!#5!#6!#7!#8!%
+ \fi
+ \else % 2-9
+ \ifnum#1<#7 % 2 3 4 5
+ \ifnum#1<#6 % 2 3
+ \@ReturnAfterElseFi{%
+ \expandafter\InCa@@ProcessDiv
+ \number\InCa at Sub#1!#5!!%
+ 23%
+ }%
+ \else % 4 5
+ \@ReturnAfterFi{%
+ \expandafter\InCa@@ProcessDiv
+ \number\InCa at Sub#1!#6!!%
+ 45%
+ }%
+ \fi
+ #2#3!#4!#5!#6!#7!#8!%
+ \else % 6 7 8 9
+ \ifnum#1<#8 % 6 7
+ \@ReturnAfterElseFi{%
+ \expandafter\InCa@@ProcessDiv
+ \number\InCa at Sub#1!#7!!%
+ 67%
+ }%
+ \else % 8 9
+ \@ReturnAfterFi{%
+ \expandafter\InCa@@ProcessDiv
+ \number\InCa at Sub#1!#8!!%
+ 89%
+ }%
+ \fi
+ #2#3!#4!#5!#6!#7!#8!%
+ \fi
+ \fi
+ \fi
+ \ifx#2=%
+ \expandafter\@gobble
+ \fi
+ /%
+}
+\def\InCa@@ProcessDiv#1!#2#3#4#5!#6!{%
+ \ifnum#1<#6 %
+ #2%
+ \@ReturnAfterElseFi{%
+ \ifx#4=%
+ \expandafter\InCa at CleanupIV
+ \else
+ \@ReturnAfterFi{%
+ \InCa at ProcessDiv{#1#4}#5!#6!%
+ }%
+ \fi
+ }%
+ \else
+ #3%
+ \@ReturnAfterFi{%
+ \ifx#4=%
+ \expandafter\InCa at CleanupIV
+ \else
+ \@ReturnAfterFi{%
+ \expandafter\InCa at ProcessDiv\expandafter{%
+ \number\InCa at Sub#1!#6! %
+ #4%
+ }#5!#6!%
+ }%
+ \fi
+ }%
+ \fi
+}
+\def\InCa at CleanupIV#1!#2!#3!#4!{}
+\def\intcalcMod#1#2{%
+ \number\expandafter\InCa at Mod
+ \number\number#1\expandafter!%
+ \number#2! %
+}
+\def\InCa at Mod#1!#2!{%
+ \ifcase#2 %
+ 0\IntCalcError:DivisionByZero%
+ \else
+ \ifnum#2<\z@
+ -%
+ \expandafter\InCa at Mod
+ \number-#1\expandafter!%
+ \number-#2!%
+ \else
+ \ifcase#1 %
+ 0%
+ \else
+ \ifcase#2 % 0 already catched
+? \IntCalcError:ThisCannotHappen%
+ \or % 1
+ 0%
+ \or % 2
+ \ifodd#1 1\else 0\fi
+ \else
+ \ifnum#1<\z@
+ \expandafter\InCa at ModShift
+ \number-%
+ \expandafter\InCa at Sub
+ \number\@gobble#1\expandafter!%
+ \number\intcalcMul{#2}{%
+ \expandafter\InCa at Div\@gobble#1!#2!%
+ }!%
+ !#2!%
+ \else
+ \expandafter\InCa at Sub\number#1\expandafter!%
+ \number\intcalcMul{#2}{\InCa at Div#1!#2!}!%
+ \fi
+ \fi
+ \fi
+ \fi
+ \fi
+}
+\def\InCa at Temp#1{%
+ \def\IntCalcMod##1!##2!{%
+ \number
+ \ifcase##2 %
+ 0\IntCalcError:DivisionByZero%
+ \else
+ \ifcase##1 %
+ 0%
+ \else
+ \ifcase##2 % 0 already catched
+? \IntCalcError:ThisCannotHappen
+ \or % 1
+ 0%
+ \or % 2
+ \ifodd ##1 1\else 0\fi
+ \else
+ \expandafter\InCa at Sub\number##1\expandafter!%
+ \number\intcalcMul{##2}{\InCa at Div##1!##2!}!%
+ \fi
+ \fi
+ \fi
+ #1%
+ }%
+}
+\InCa at Temp{ }%
+\def\InCa at ModShift#1!#2!{%
+ \ifnum#1<\z@
+ \expandafter\InCa at Sub\number#2\expandafter!%
+ \@gobble#1!%
+ \else
+ #1%
+ \fi
+}
+\def\InCa at Empty{}
+\expandafter\ifx\csname @gobble\endcsname\relax
+ \long\def\@gobble#1{}%
+\fi
+\long\def\@ReturnAfterFi#1\fi{\fi#1}%
+\long\def\@ReturnAfterElseFi#1\else#2\fi{\fi#1}%
+\InCa at AtEnd%
+%% \section{Installation}
+\endinput
+%%
+%% End of file `intcalc.sty'.
Property changes on: trunk/Master/texmf-dist/tex/generic/intcalc/intcalc.sty
___________________________________________________________________
Added: svn:eol-style
## -0,0 +1 ##
+native
\ No newline at end of property
Modified: trunk/Master/tlpkg/bin/tlpkg-ctan-check
===================================================================
--- trunk/Master/tlpkg/bin/tlpkg-ctan-check 2019-12-17 23:23:06 UTC (rev 53167)
+++ trunk/Master/tlpkg/bin/tlpkg-ctan-check 2019-12-17 23:24:25 UTC (rev 53168)
@@ -366,7 +366,8 @@
incgraph includernw inconsolata index indextools infwarerr
initials inkpaper inline-images inlinebib inlinedef
inputenx inputtrc inriafonts insbox installfont
- interactiveworkbook interchar interfaces interpreter interval intopdf
+ intcalc interactiveworkbook
+ interchar interfaces interpreter interval intopdf
intro-scientific
inversepath invoice invoice-class invoice2
iodhbwm ionumbers iopart-num ipaex ipaex-type1 is-bst iscram iso
Modified: trunk/Master/tlpkg/tlpsrc/collection-latex.tlpsrc
===================================================================
--- trunk/Master/tlpkg/tlpsrc/collection-latex.tlpsrc 2019-12-17 23:23:06 UTC (rev 53167)
+++ trunk/Master/tlpkg/tlpsrc/collection-latex.tlpsrc 2019-12-17 23:24:25 UTC (rev 53168)
@@ -24,6 +24,7 @@
depend graphics-cfg
depend grfext
depend hyperref
+depend intcalc
depend kvdefinekeys
depend kvoptions
depend kvsetkeys
Added: trunk/Master/tlpkg/tlpsrc/intcalc.tlpsrc
===================================================================
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