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tex-compiler/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty

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%%
%% This is file `bigintcalc.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% bigintcalc.dtx (with options: `package')
%%
%% This is a generated file.
%%
%% Project: bigintcalc
%% Version: 2019/12/15 v1.5
%%
%% Copyright (C)
%% 2007, 2011, 2012 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/bigintcalc/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 bigintcalc.dtx
%% and the derived files
%% bigintcalc.sty, bigintcalc.pdf, bigintcalc.ins, bigintcalc.drv,
%% bigintcalc-test1.tex, bigintcalc-test2.tex,
%% bigintcalc-test3.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@bigintcalc.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{bigintcalc}{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@bigintcalc.sty\endcsname
\ProvidesPackage{bigintcalc}%
[2019/12/15 v1.5 Expandable calculations on big 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 BIC@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@EnsureCode#1#2{%
\edef\BIC@AtEnd{%
\BIC@AtEnd
\catcode#1=\the\catcode#1\relax
}%
\catcode#1=#2\relax
}
\TMP@EnsureCode{33}{12}% !
\TMP@EnsureCode{36}{14}% $ (comment!)
\TMP@EnsureCode{38}{14}% & (comment!)
\TMP@EnsureCode{40}{12}% (
\TMP@EnsureCode{41}{12}% )
\TMP@EnsureCode{42}{12}% *
\TMP@EnsureCode{43}{12}% +
\TMP@EnsureCode{45}{12}% -
\TMP@EnsureCode{46}{12}% .
\TMP@EnsureCode{47}{12}% /
\TMP@EnsureCode{58}{11}% : (letter!)
\TMP@EnsureCode{60}{12}% <
\TMP@EnsureCode{62}{12}% >
\TMP@EnsureCode{63}{14}% ? (comment!)
\TMP@EnsureCode{91}{12}% [
\TMP@EnsureCode{93}{12}% ]
\edef\BIC@AtEnd{\BIC@AtEnd\noexpand\endinput}
\begingroup\expandafter\expandafter\expandafter\endgroup
\expandafter\ifx\csname BIC@TestMode\endcsname\relax
\else
\catcode63=9 % ? (ignore)
\fi
? \let\BIC@@TestMode\BIC@TestMode
\begingroup\expandafter\expandafter\expandafter\endgroup
\expandafter\ifx\csname numexpr\endcsname\relax
\catcode36=9 % $ (ignore)
\else
\catcode38=9 % & (ignore)
\fi
\let\BIC@Fi\fi
\def\BIC@AfterFi#1#2\BIC@Fi{\fi#1}%
\def\BIC@AfterFiFi#1#2\BIC@Fi{\fi\fi#1}%
\def\BIC@AfterFiFiFi#1#2\BIC@Fi{\fi\fi\fi#1}%
\begingroup
\def\x#1{\endgroup
\let\BIC@Space= #1%
}%
\x{ }
\begingroup\expandafter\expandafter\expandafter\endgroup
\expandafter\ifx\csname RequirePackage\endcsname\relax
\def\TMP@RequirePackage#1[#2]{%
\begingroup\expandafter\expandafter\expandafter\endgroup
\expandafter\ifx\csname ver@#1.sty\endcsname\relax
\input #1.sty\relax
\fi
}%
\TMP@RequirePackage{pdftexcmds}[2007/11/11]%
\else
\RequirePackage{pdftexcmds}[2007/11/11]%
\fi
\begingroup\expandafter\expandafter\expandafter\endgroup
\expandafter\ifx\csname pdf@escapehex\endcsname\relax
\def\BIC@Expand#1{%
\romannumeral0%
\BIC@@Expand#1!\@nil{}%
}%
\def\BIC@@Expand#1#2\@nil#3{%
\expandafter\ifcat\noexpand#1\relax
\expandafter\@firstoftwo
\else
\expandafter\@secondoftwo
\fi
{%
\expandafter\BIC@@Expand#1#2\@nil{#3}%
}{%
\ifx#1!%
\expandafter\@firstoftwo
\else
\expandafter\@secondoftwo
\fi
{ #3}{%
\BIC@@Expand#2\@nil{#3#1}%
}%
}%
}%
\expandafter\ifx\csname @firstoftwo\endcsname\relax
\long\def\@firstoftwo#1#2{#1}%
\fi
\expandafter\ifx\csname @secondoftwo\endcsname\relax
\long\def\@secondoftwo#1#2{#2}%
\fi
\else
\def\BIC@Expand#1{%
\romannumeral0\expandafter\expandafter\expandafter\BIC@Space
\pdf@unescapehex{%
\expandafter\expandafter\expandafter
\BIC@StripHexSpace\pdf@escapehex{#1}20\@nil
}%
}%
\def\BIC@StripHexSpace#120#2\@nil{%
#1%
\ifx\\#2\\%
\else
\BIC@AfterFi{%
\BIC@StripHexSpace#2\@nil
}%
\BIC@Fi
}%
\fi
\def\BIC@Normalize#1#2{%
\ifx#2-%
\ifx\\#1\\%
\BIC@AfterFiFi{%
\BIC@Normalize-%
}%
\else
\BIC@AfterFiFi{%
\BIC@Normalize{}%
}%
\fi
\else
\ifx#2+%
\BIC@AfterFiFi{%
\BIC@Normalize{#1}%
}%
\else
\ifx#20%
\BIC@AfterFiFiFi{%
\BIC@NormalizeZero{#1}%
}%
\else
\BIC@AfterFiFiFi{%
\BIC@NormalizeDigits#1#2%
}%
\fi
\fi
\BIC@Fi
}
\def\BIC@NormalizeZero#1#2{%
\ifx#2!%
\BIC@AfterFi{ 0}%
\else
\ifx#20%
\BIC@AfterFiFi{%
\BIC@NormalizeZero{#1}%
}%
\else
\BIC@AfterFiFi{%
\BIC@NormalizeDigits#1#2%
}%
\fi
\BIC@Fi
}
\def\BIC@NormalizeDigits#1!{ #1}
\def\bigintcalcNum#1{%
\romannumeral0%
\expandafter\expandafter\expandafter\BIC@Normalize
\expandafter\expandafter\expandafter{%
\expandafter\expandafter\expandafter}%
\BIC@Expand{#1}!%
}
\def\bigintcalcInv#1{%
\romannumeral0\expandafter\expandafter\expandafter\BIC@Space
\bigintcalcNum{-#1}%
}
\def\bigintcalcAbs#1{%
\romannumeral0%
\expandafter\expandafter\expandafter\BIC@Abs
\bigintcalcNum{#1}%
}
\def\BIC@Abs#1{%
\ifx#1-%
\expandafter\BIC@Space
\else
\expandafter\BIC@Space
\expandafter#1%
\fi
}
\def\bigintcalcSgn#1{%
\number
\expandafter\expandafter\expandafter\BIC@Sgn
\bigintcalcNum{#1}! %
}
\def\BIC@Sgn#1#2!{%
\ifx#1-%
-1%
\else
\ifx#10%
0%
\else
1%
\fi
\fi
}
\def\bigintcalcCmp#1#2{%
\number
\expandafter\expandafter\expandafter\BIC@Cmp
\bigintcalcNum{#2}!{#1}%
}
\def\BIC@Cmp#1!#2{%
\expandafter\expandafter\expandafter\BIC@@Cmp
\bigintcalcNum{#2}!#1!%
}
\def\BIC@@Cmp#1#2!#3#4!{%
\ifx#1-%
\ifx#3-%
\BIC@AfterFiFi{%
\BIC@@Cmp#4!#2!%
}%
\else
\BIC@AfterFiFi{%
-1 %
}%
\fi
\else
\ifx#3-%
\BIC@AfterFiFi{%
1 %
}%
\else
\BIC@AfterFiFi{%
\BIC@CmpLength#1#2!#3#4!#1#2!#3#4!%
}%
\fi
\BIC@Fi
}
\def\BIC@PosCmp#1!#2!{%
\BIC@CmpLength#1!#2!#1!#2!%
}
\def\BIC@CmpLength#1#2!#3#4!{%
\ifx\\#2\\%
\ifx\\#4\\%
\BIC@AfterFiFi\BIC@CmpDiff
\else
\BIC@AfterFiFi{%
\BIC@CmpResult{-1}%
}%
\fi
\else
\ifx\\#4\\%
\BIC@AfterFiFi{%
\BIC@CmpResult1%
}%
\else
\BIC@AfterFiFi{%
\BIC@CmpLength#2!#4!%
}%
\fi
\BIC@Fi
}
\def\BIC@CmpResult#1#2!#3!{#1 }
\def\BIC@CmpDiff#1#2!#3#4!{%
\ifnum#1<#3 %
\BIC@AfterFi{%
-1 %
}%
\else
\ifnum#1>#3 %
\BIC@AfterFiFi{%
1 %
}%
\else
\ifx\\#2\\%
\BIC@AfterFiFiFi{%
0 %
}%
\else
\BIC@AfterFiFiFi{%
\BIC@CmpDiff#2!#4!%
}%
\fi
\fi
\BIC@Fi
}
\def\bigintcalcMin#1{%
\romannumeral0%
\expandafter\expandafter\expandafter\BIC@MinMax
\bigintcalcNum{#1}!-!%
}
\def\bigintcalcMax#1{%
\romannumeral0%
\expandafter\expandafter\expandafter\BIC@MinMax
\bigintcalcNum{#1}!!%
}
\def\BIC@MinMax#1!#2!#3{%
\expandafter\expandafter\expandafter\BIC@@MinMax
\bigintcalcNum{#3}!#1!#2!%
}
\def\BIC@@MinMax#1!#2!#3!{%
\ifnum\BIC@@Cmp#1!#2!=#31 %
\BIC@AfterFi{ #1}%
\else
\BIC@AfterFi{ #2}%
\BIC@Fi
}
\def\bigintcalcOdd#1{%
\romannumeral0%
\expandafter\expandafter\expandafter\BIC@Odd
\bigintcalcAbs{#1}!%
}
\def\BigIntCalcOdd#1!{%
\romannumeral0%
\BIC@Odd#1!%
}
\def\BIC@Odd#1#2{%
\ifx#2!%
\ifodd#1 %
\BIC@AfterFiFi{ 1}%
\else
\BIC@AfterFiFi{ 0}%
\fi
\else
\expandafter\BIC@Odd\expandafter#2%
\BIC@Fi
}
\def\bigintcalcInc#1{%
\romannumeral0%
\expandafter\expandafter\expandafter\BIC@IncSwitch
\bigintcalcNum{#1}!%
}
\def\BIC@IncSwitch#1#2!{%
\ifcase\BIC@@Cmp#1#2!-1!%
\BIC@AfterFi{ 0}%
\or
\BIC@AfterFi{%
\BIC@Inc#1#2!{}%
}%
\else
\BIC@AfterFi{%
\expandafter-\romannumeral0%
\BIC@Dec#2!{}%
}%
\BIC@Fi
}
\def\bigintcalcDec#1{%
\romannumeral0%
\expandafter\expandafter\expandafter\BIC@DecSwitch
\bigintcalcNum{#1}!%
}
\def\BIC@DecSwitch#1#2!{%
\ifcase\BIC@Sgn#1#2! %
\BIC@AfterFi{ -1}%
\or
\BIC@AfterFi{%
\BIC@Dec#1#2!{}%
}%
\else
\BIC@AfterFi{%
\expandafter-\romannumeral0%
\BIC@Inc#2!{}%
}%
\BIC@Fi
}
\def\BigIntCalcInc#1!{%
\romannumeral0\BIC@Inc#1!{}%
}
\def\BigIntCalcDec#1!{%
\romannumeral0\BIC@Dec#1!{}%
}
\def\BIC@Inc#1#2!#3{%
\ifx\\#2\\%
\BIC@AfterFi{%
\BIC@@Inc1#1#3!{}%
}%
\else
\BIC@AfterFi{%
\BIC@Inc#2!{#1#3}%
}%
\BIC@Fi
}
\def\BIC@@Inc#1#2#3!#4{%
\ifcase#1 %
\ifx\\#3\\%
\BIC@AfterFiFi{ #2#4}%
\else
\BIC@AfterFiFi{%
\BIC@@Inc0#3!{#2#4}%
}%
\fi
\else
\ifnum#2<9 %
\BIC@AfterFiFi{%
& \expandafter\BIC@@@Inc\the\numexpr#2+1\relax
$ \expandafter\expandafter\expandafter\BIC@@@Inc
$ \ifcase#2 \expandafter1%
$ \or\expandafter2%
$ \or\expandafter3%
$ \or\expandafter4%
$ \or\expandafter5%
$ \or\expandafter6%
$ \or\expandafter7%
$ \or\expandafter8%
$ \or\expandafter9%
$? \else\BigIntCalcError:ThisCannotHappen%
$ \fi
0#3!{#4}%
}%
\else
\BIC@AfterFiFi{%
\BIC@@@Inc01#3!{#4}%
}%
\fi
\BIC@Fi
}
\def\BIC@@@Inc#1#2#3!#4{%
\ifx\\#3\\%
\ifnum#2=1 %
\BIC@AfterFiFi{ 1#1#4}%
\else
\BIC@AfterFiFi{ #1#4}%
\fi
\else
\BIC@AfterFi{%
\BIC@@Inc#2#3!{#1#4}%
}%
\BIC@Fi
}
\def\BIC@Dec#1#2!#3{%
\ifx\\#2\\%
\BIC@AfterFi{%
\BIC@@Dec1#1#3!{}%
}%
\else
\BIC@AfterFi{%
\BIC@Dec#2!{#1#3}%
}%
\BIC@Fi
}
\def\BIC@@Dec#1#2#3!#4{%
\ifcase#1 %
\ifx\\#3\\%
\BIC@AfterFiFi{ #2#4}%
\else
\BIC@AfterFiFi{%
\BIC@@Dec0#3!{#2#4}%
}%
\fi
\else
\ifnum#2>0 %
\BIC@AfterFiFi{%
& \expandafter\BIC@@@Dec\the\numexpr#2-1\relax
$ \expandafter\expandafter\expandafter\BIC@@@Dec
$ \ifcase#2
$? \BigIntCalcError:ThisCannotHappen%
$ \or\expandafter0%
$ \or\expandafter1%
$ \or\expandafter2%
$ \or\expandafter3%
$ \or\expandafter4%
$ \or\expandafter5%
$ \or\expandafter6%
$ \or\expandafter7%
$ \or\expandafter8%
$? \else\BigIntCalcError:ThisCannotHappen%
$ \fi
0#3!{#4}%
}%
\else
\BIC@AfterFiFi{%
\BIC@@@Dec91#3!{#4}%
}%
\fi
\BIC@Fi
}
\def\BIC@@@Dec#1#2#3!#4{%
\ifx\\#3\\%
\ifcase#1 %
\ifx\\#4\\%
\BIC@AfterFiFiFi{ 0}%
\else
\BIC@AfterFiFiFi{ #4}%
\fi
\else
\BIC@AfterFiFi{ #1#4}%
\fi
\else
\BIC@AfterFi{%
\BIC@@Dec#2#3!{#1#4}%
}%
\BIC@Fi
}
\def\bigintcalcAdd#1{%
\romannumeral0%
\expandafter\expandafter\expandafter\BIC@Add
\bigintcalcNum{#1}!%
}
\def\BIC@Add#1!#2{%
\expandafter\expandafter\expandafter
\BIC@AddSwitch\bigintcalcNum{#2}!#1!%
}
\def\bigintcalcSub#1#2{%
\romannumeral0%
\expandafter\expandafter\expandafter\BIC@Add
\bigintcalcNum{-#2}!{#1}%
}
\def\BIC@AddSwitch#1#2!#3#4!{%
\ifx#1-% x < 0
\ifx#3-% y < 0
\expandafter-\romannumeral0%
\ifnum\BIC@PosCmp#2!#4!=1 % -x > -y
\BIC@AfterFiFiFi{%
\BIC@AddXY#2!#4!!!%
}%
\else % -x <= -y
\BIC@AfterFiFiFi{%
\BIC@AddXY#4!#2!!!%
}%
\fi
\else % y >= 0
\ifcase\BIC@PosCmp#2!#3#4!% -x = y
\BIC@AfterFiFiFi{ 0}%
\or % -x > y
\expandafter-\romannumeral0%
\BIC@AfterFiFiFi{%
\BIC@SubXY#2!#3#4!!!%
}%
\else % -x <= y
\BIC@AfterFiFiFi{%
\BIC@SubXY#3#4!#2!!!%
}%
\fi
\fi
\else % x >= 0
\ifx#3-% y < 0
\ifcase\BIC@PosCmp#1#2!#4!% x = -y
\BIC@AfterFiFiFi{ 0}%
\or % x > -y
\BIC@AfterFiFiFi{%
\BIC@SubXY#1#2!#4!!!%
}%
\else % x <= -y
\expandafter-\romannumeral0%
\BIC@AfterFiFiFi{%
\BIC@SubXY#4!#1#2!!!%
}%
\fi
\else % y >= 0
\ifnum\BIC@PosCmp#1#2!#3#4!=1 % x > y
\BIC@AfterFiFiFi{%
\BIC@AddXY#1#2!#3#4!!!%
}%
\else % x <= y
\BIC@AfterFiFiFi{%
\BIC@AddXY#3#4!#1#2!!!%
}%
\fi
\fi
\BIC@Fi
}
\def\BigIntCalcAdd#1!#2!{%
\romannumeral0\BIC@AddXY#1!#2!!!%
}
\def\BigIntCalcSub#1!#2!{%
\romannumeral0\BIC@SubXY#1!#2!!!%
}
\def\BIC@AddXY#1#2!#3#4!#5!#6!{%
\ifx\\#2\\%
\ifx\\#3\\%
\BIC@AfterFiFi{%
\BIC@DoAdd0!#1#5!#60!%
}%
\else
\BIC@AfterFiFi{%
\BIC@DoAdd0!#1#5!#3#6!%
}%
\fi
\else
\ifx\\#4\\%
\ifx\\#3\\%
\BIC@AfterFiFiFi{%
\BIC@AddXY#2!{}!#1#5!#60!%
}%
\else
\BIC@AfterFiFiFi{%
\BIC@AddXY#2!{}!#1#5!#3#6!%
}%
\fi
\else
\BIC@AfterFiFi{%
\BIC@AddXY#2!#4!#1#5!#3#6!%
}%
\fi
\BIC@Fi
}
\def\BIC@DoAdd#1#2!#3#4!#5#6!{%
\ifx\\#4\\%
\BIC@AfterFi{%
& \expandafter\BIC@Space
& \the\numexpr#1+#3+#5\relax#2%
$ \expandafter\expandafter\expandafter\BIC@AddResult
$ \BIC@AddDigit#1#3#5#2%
}%
\else
\BIC@AfterFi{%
\expandafter\expandafter\expandafter\BIC@DoAdd
\BIC@AddDigit#1#3#5#2!#4!#6!%
}%
\BIC@Fi
}
$ \def\BIC@AddResult#1{%
$ \ifx#10%
$ \expandafter\BIC@Space
$ \else
$ \expandafter\BIC@Space\expandafter#1%
$ \fi
$ }%
\def\BIC@AddDigit#1#2#3{%
\romannumeral0%
& \expandafter\BIC@@AddDigit\the\numexpr#1+#2+#3!%
$ \expandafter\BIC@@AddDigit\number%
$ \csname
$ BIC@AddCarry%
$ \ifcase#1 %
$ #2%
$ \else
$ \ifcase#2 1\or2\or3\or4\or5\or6\or7\or8\or9\or10\fi
$ \fi
$ \endcsname#3!%
}
\def\BIC@@AddDigit#1!{%
\ifnum#1<10 %
\BIC@AfterFi{ 0#1}%
\else
\BIC@AfterFi{ #1}%
\BIC@Fi
}
$ \expandafter\def\csname BIC@AddCarry0\endcsname#1{#1}%
$ \expandafter\def\csname BIC@AddCarry10\endcsname#1{1#1}%
$ \def\BIC@Temp#1#2{%
$ \expandafter\def\csname BIC@AddCarry#1\endcsname##1{%
$ \ifcase##1 #1\or
$ #2%
$? \else\BigIntCalcError:ThisCannotHappen%
$ \fi
$ }%
$ }%
$ \BIC@Temp 0{1\or2\or3\or4\or5\or6\or7\or8\or9}%
$ \BIC@Temp 1{2\or3\or4\or5\or6\or7\or8\or9\or10}%
$ \BIC@Temp 2{3\or4\or5\or6\or7\or8\or9\or10\or11}%
$ \BIC@Temp 3{4\or5\or6\or7\or8\or9\or10\or11\or12}%
$ \BIC@Temp 4{5\or6\or7\or8\or9\or10\or11\or12\or13}%
$ \BIC@Temp 5{6\or7\or8\or9\or10\or11\or12\or13\or14}%
$ \BIC@Temp 6{7\or8\or9\or10\or11\or12\or13\or14\or15}%
$ \BIC@Temp 7{8\or9\or10\or11\or12\or13\or14\or15\or16}%
$ \BIC@Temp 8{9\or10\or11\or12\or13\or14\or15\or16\or17}%
$ \BIC@Temp 9{10\or11\or12\or13\or14\or15\or16\or17\or18}%
\def\BIC@SubXY#1#2!#3#4!#5!#6!{%
\ifx\\#2\\%
\ifx\\#3\\%
\BIC@AfterFiFi{%
\BIC@DoSub0!#1#5!#60!%
}%
\else
\BIC@AfterFiFi{%
\BIC@DoSub0!#1#5!#3#6!%
}%
\fi
\else
\ifx\\#4\\%
\ifx\\#3\\%
\BIC@AfterFiFiFi{%
\BIC@SubXY#2!{}!#1#5!#60!%
}%
\else
\BIC@AfterFiFiFi{%
\BIC@SubXY#2!{}!#1#5!#3#6!%
}%
\fi
\else
\BIC@AfterFiFi{%
\BIC@SubXY#2!#4!#1#5!#3#6!%
}%
\fi
\BIC@Fi
}
\def\BIC@DoSub#1#2!#3#4!#5#6!{%
\ifx\\#4\\%
\BIC@AfterFi{%
\expandafter\expandafter\expandafter\BIC@SubResult
\BIC@SubDigit#1#3#5#2%
}%
\else
\BIC@AfterFi{%
\expandafter\expandafter\expandafter\BIC@DoSub
\BIC@SubDigit#1#3#5#2!#4!#6!%
}%
\BIC@Fi
}
\def\BIC@SubResult#1{%
\ifx#10%
\expandafter\BIC@SubResult
\else
\expandafter\BIC@Space\expandafter#1%
\fi
}
\def\BIC@SubDigit#1#2#3{%
\romannumeral0%
& \expandafter\BIC@@SubDigit\the\numexpr#2-#3-#1!%
$ \expandafter\BIC@@AddDigit\number
$ \csname
$ BIC@SubCarry%
$ \ifcase#1 %
$ #3%
$ \else
$ \ifcase#3 1\or2\or3\or4\or5\or6\or7\or8\or9\or10\fi
$ \fi
$ \endcsname#2!%
}
& \def\BIC@@SubDigit#1!{%
& \ifnum#1<0 %
& \BIC@AfterFi{%
& \expandafter\BIC@Space
& \expandafter1\the\numexpr#1+10\relax
& }%
& \else
& \BIC@AfterFi{ 0#1}%
& \BIC@Fi
& }%
$ \expandafter\def\csname BIC@SubCarry0\endcsname#1{#1}%
$ \expandafter\def\csname BIC@SubCarry10\endcsname#1{1#1}%
$ \def\BIC@Temp#1#2{%
$ \expandafter\def\csname BIC@SubCarry#1\endcsname##1{%
$ \ifcase##1 #2%
$? \else\BigIntCalcError:ThisCannotHappen%
$ \fi
$ }%
$ }%
$ \BIC@Temp 1{19\or0\or1\or2\or3\or4\or5\or6\or7\or8}%
$ \BIC@Temp 2{18\or19\or0\or1\or2\or3\or4\or5\or6\or7}%
$ \BIC@Temp 3{17\or18\or19\or0\or1\or2\or3\or4\or5\or6}%
$ \BIC@Temp 4{16\or17\or18\or19\or0\or1\or2\or3\or4\or5}%
$ \BIC@Temp 5{15\or16\or17\or18\or19\or0\or1\or2\or3\or4}%
$ \BIC@Temp 6{14\or15\or16\or17\or18\or19\or0\or1\or2\or3}%
$ \BIC@Temp 7{13\or14\or15\or16\or17\or18\or19\or0\or1\or2}%
$ \BIC@Temp 8{12\or13\or14\or15\or16\or17\or18\or19\or0\or1}%
$ \BIC@Temp 9{11\or12\or13\or14\or15\or16\or17\or18\or19\or0}%
\def\bigintcalcShl#1{%
\romannumeral0%
\expandafter\expandafter\expandafter\BIC@Shl
\bigintcalcNum{#1}!%
}
\def\BIC@Shl#1#2!{%
\ifx#1-%
\BIC@AfterFi{%
\expandafter-\romannumeral0%
& \BIC@@Shl#2!!%
$ \BIC@AddXY#2!#2!!!%
}%
\else
\BIC@AfterFi{%
& \BIC@@Shl#1#2!!%
$ \BIC@AddXY#1#2!#1#2!!!%
}%
\BIC@Fi
}
\def\BigIntCalcShl#1!{%
\romannumeral0%
& \BIC@@Shl#1!!%
$ \BIC@AddXY#1!#1!!!%
}
& \def\BIC@@Shl#1#2!{%
& \ifx\\#2\\%
& \BIC@AfterFi{%
& \BIC@@@Shl0!#1%
& }%
& \else
& \BIC@AfterFi{%
& \BIC@@Shl#2!#1%
& }%
& \BIC@Fi
& }%
& \def\BIC@@@Shl#1#2!#3#4!{%
& \ifx\\#4\\%
& \BIC@AfterFi{%
& \expandafter\BIC@Space
& \the\numexpr#3*2+#1\relax#2%
& }%
& \else
& \BIC@AfterFi{%
& \expandafter\BIC@@@@Shl\the\numexpr#3*2+#1!#2!#4!%
& }%
& \BIC@Fi
& }%
& \def\BIC@@@@Shl#1!{%
& \ifnum#1<10 %
& \BIC@AfterFi{%
& \BIC@@@Shl0#1%
& }%
& \else
& \BIC@AfterFi{%
& \BIC@@@Shl#1%
& }%
& \BIC@Fi
& }%
\def\bigintcalcShr#1{%
\romannumeral0%
\expandafter\expandafter\expandafter\BIC@Shr
\bigintcalcNum{#1}!%
}
\def\BIC@Shr#1#2!{%
\ifx#1-%
\expandafter-\romannumeral0%
\BIC@AfterFi{%
\BIC@@Shr#2!%
}%
\else
\BIC@AfterFi{%
\BIC@@Shr#1#2!%
}%
\BIC@Fi
}
\def\BigIntCalcShr#1!{%
\romannumeral0%
\BIC@@Shr#1!%
}
\def\BIC@@Shr#1#2!{%
\ifcase#1 %
\BIC@AfterFi{ 0}%
\or
\ifx\\#2\\%
\BIC@AfterFiFi{ 0}%
\else
\BIC@AfterFiFi{%
\BIC@@@Shr#1#2!!%
}%
\fi
\else
\BIC@AfterFi{%
\BIC@@@Shr0#1#2!!%
}%
\BIC@Fi
}
\def\BIC@@@Shr#1#2#3!#4!{%
\ifx\\#3\\%
\ifodd#1#2 %
\BIC@AfterFiFi{%
& \expandafter\BIC@ShrResult\the\numexpr(#1#2-1)/2\relax
$ \expandafter\expandafter\expandafter\BIC@ShrResult
$ \csname BIC@ShrDigit#1#2\endcsname
#4!%
}%
\else
\BIC@AfterFiFi{%
& \expandafter\BIC@ShrResult\the\numexpr#1#2/2\relax
$ \expandafter\expandafter\expandafter\BIC@ShrResult
$ \csname BIC@ShrDigit#1#2\endcsname
#4!%
}%
\fi
\else
\ifodd#1#2 %
\BIC@AfterFiFi{%
& \expandafter\BIC@@@@Shr\the\numexpr(#1#2-1)/2\relax1%
$ \expandafter\expandafter\expandafter\BIC@@@@Shr
$ \csname BIC@ShrDigit#1#2\endcsname
#3!#4!%
}%
\else
\BIC@AfterFiFi{%
& \expandafter\BIC@@@@Shr\the\numexpr#1#2/2\relax0%
$ \expandafter\expandafter\expandafter\BIC@@@@Shr
$ \csname BIC@ShrDigit#1#2\endcsname
#3!#4!%
}%
\fi
\BIC@Fi
}
& \def\BIC@ShrResult#1#2!{ #2#1}%
$ \def\BIC@ShrResult#1#2#3!{ #3#1}%
\def\BIC@@@@Shr#1#2#3!#4!{%
\BIC@@@Shr#2#3!#4#1!%
}
$ \def\BIC@Temp#1#2#3#4{%
$ \expandafter\def\csname BIC@ShrDigit#1#2\endcsname{#3#4}%
$ }%
$ \BIC@Temp 0000%
$ \BIC@Temp 0101%
$ \BIC@Temp 0210%
$ \BIC@Temp 0311%
$ \BIC@Temp 0420%
$ \BIC@Temp 0521%
$ \BIC@Temp 0630%
$ \BIC@Temp 0731%
$ \BIC@Temp 0840%
$ \BIC@Temp 0941%
$ \BIC@Temp 1050%
$ \BIC@Temp 1151%
$ \BIC@Temp 1260%
$ \BIC@Temp 1361%
$ \BIC@Temp 1470%
$ \BIC@Temp 1571%
$ \BIC@Temp 1680%
$ \BIC@Temp 1781%
$ \BIC@Temp 1890%
$ \BIC@Temp 1991%
\def\BIC@Tim#1!#2{%
\romannumeral0%
\ifcase#2 % 0
\BIC@AfterFi{ 0}%
\or % 1
\BIC@AfterFi{ #1}%
\or % 2
\BIC@AfterFi{%
\BIC@Shl#1!%
}%
\else % 3-9
\BIC@AfterFi{%
\BIC@@Tim#1!!#2%
}%
\BIC@Fi
}
\def\BIC@@Tim#1#2!{%
\ifx\\#2\\%
\BIC@AfterFi{%
\BIC@ProcessTim0!#1%
}%
\else
\BIC@AfterFi{%
\BIC@@Tim#2!#1%
}%
\BIC@Fi
}
\def\BIC@ProcessTim#1#2!#3#4!#5{%
\ifx\\#4\\%
\BIC@AfterFi{%
\expandafter\BIC@Space
& \the\numexpr#3*#5+#1\relax
$ \romannumeral0\BIC@TimDigit#3#5#1%
#2%
}%
\else
\BIC@AfterFi{%
\expandafter\BIC@@ProcessTim
& \the\numexpr#3*#5+#1%
$ \romannumeral0\BIC@TimDigit#3#5#1%
!#2!#4!#5%
}%
\BIC@Fi
}
\def\BIC@@ProcessTim#1#2!{%
\ifx\\#2\\%
\BIC@AfterFi{%
\BIC@ProcessTim0#1%
}%
\else
\BIC@AfterFi{%
\BIC@ProcessTim#1#2%
}%
\BIC@Fi
}
$ \def\BIC@TimDigit#1#2#3{%
$ \ifcase#1 % 0
$ \BIC@AfterFi{ #3}%
$ \or % 1
$ \BIC@AfterFi{%
$ \expandafter\BIC@Space
$ \number\csname BIC@AddCarry#2\endcsname#3 %
$ }%
$ \else
$ \ifcase#3 %
$ \BIC@AfterFiFi{%
$ \expandafter\BIC@Space
$ \number\csname BIC@MulDigit#2\endcsname#1 %
$ }%
$ \else
$ \BIC@AfterFiFi{%
$ \expandafter\BIC@Space
$ \romannumeral0%
$ \expandafter\BIC@AddXY
$ \number\csname BIC@MulDigit#2\endcsname#1!%
$ #3!!!%
$ }%
$ \fi
$ \BIC@Fi
$ }%
$ \def\BIC@Temp#1#2{%
$ \expandafter\def\csname BIC@MulDigit#1\endcsname##1{%
$ \ifcase##1 0%
$ \or ##1%
$ \or #2%
$? \else\BigIntCalcError:ThisCannotHappen%
$ \fi
$ }%
$ }%
$ \BIC@Temp 3{6\or9\or12\or15\or18\or21\or24\or27}%
$ \BIC@Temp 4{8\or12\or16\or20\or24\or28\or32\or36}%
$ \BIC@Temp 5{10\or15\or20\or25\or30\or35\or40\or45}%
$ \BIC@Temp 6{12\or18\or24\or30\or36\or42\or48\or54}%
$ \BIC@Temp 7{14\or21\or28\or35\or42\or49\or56\or63}%
$ \BIC@Temp 8{16\or24\or32\or40\or48\or56\or64\or72}%
$ \BIC@Temp 9{18\or27\or36\or45\or54\or63\or72\or81}%
\def\bigintcalcMul#1#2{%
\romannumeral0%
\expandafter\expandafter\expandafter\BIC@Mul
\bigintcalcNum{#1}!{#2}%
}
\def\BIC@Mul#1!#2{%
\expandafter\expandafter\expandafter\BIC@MulSwitch
\bigintcalcNum{#2}!#1!%
}
\def\BIC@MulSwitch#1#2!#3#4!{%
\ifcase\BIC@Sgn#1#2! % x = 0
\BIC@AfterFi{ 0}%
\or % x > 0
\ifcase\BIC@Sgn#3#4! % y = 0
\BIC@AfterFiFi{ 0}%
\or % y > 0
\ifnum\BIC@PosCmp#1#2!#3#4!=1 % x > y
\BIC@AfterFiFiFi{%
\BIC@ProcessMul0!#1#2!#3#4!%
}%
\else % x <= y
\BIC@AfterFiFiFi{%
\BIC@ProcessMul0!#3#4!#1#2!%
}%
\fi
\else % y < 0
\expandafter-\romannumeral0%
\ifnum\BIC@PosCmp#1#2!#4!=1 % x > -y
\BIC@AfterFiFiFi{%
\BIC@ProcessMul0!#1#2!#4!%
}%
\else % x <= -y
\BIC@AfterFiFiFi{%
\BIC@ProcessMul0!#4!#1#2!%
}%
\fi
\fi
\else % x < 0
\ifcase\BIC@Sgn#3#4! % y = 0
\BIC@AfterFiFi{ 0}%
\or % y > 0
\expandafter-\romannumeral0%
\ifnum\BIC@PosCmp#2!#3#4!=1 % -x > y
\BIC@AfterFiFiFi{%
\BIC@ProcessMul0!#2!#3#4!%
}%
\else % -x <= y
\BIC@AfterFiFiFi{%
\BIC@ProcessMul0!#3#4!#2!%
}%
\fi
\else % y < 0
\ifnum\BIC@PosCmp#2!#4!=1 % -x > -y
\BIC@AfterFiFiFi{%
\BIC@ProcessMul0!#2!#4!%
}%
\else % -x <= -y
\BIC@AfterFiFiFi{%
\BIC@ProcessMul0!#4!#2!%
}%
\fi
\fi
\BIC@Fi
}
\def\BigIntCalcMul#1!#2!{%
\romannumeral0%
\BIC@ProcessMul0!#1!#2!%
}
\def\BIC@ProcessMul#1!#2!#3#4!{%
\ifx\\#4\\%
\BIC@AfterFi{%
\expandafter\expandafter\expandafter\BIC@Space
\bigintcalcAdd{\BIC@Tim#2!#3}{#10}%
}%
\else
\BIC@AfterFi{%
\expandafter\expandafter\expandafter\BIC@ProcessMul
\bigintcalcAdd{\BIC@Tim#2!#3}{#10}!#2!#4!%
}%
\BIC@Fi
}
\def\bigintcalcSqr#1{%
\romannumeral0%
\expandafter\expandafter\expandafter\BIC@Sqr
\bigintcalcNum{#1}!%
}
\def\BIC@Sqr#1{%
\ifx#1-%
\expandafter\BIC@@Sqr
\else
\expandafter\BIC@@Sqr\expandafter#1%
\fi
}
\def\BIC@@Sqr#1!{%
\BIC@ProcessMul0!#1!#1!%
}
\def\bigintcalcFac#1{%
\romannumeral0%
\expandafter\expandafter\expandafter\BIC@Fac
\bigintcalcNum{#1}!%
}
\def\BIC@Fac#1#2!{%
\ifx#1-%
\BIC@AfterFi{ 0\BigIntCalcError:FacNegative}%
\else
\ifnum\BIC@PosCmp#1#2!13!<0 %
\ifcase#1#2 %
\BIC@AfterFiFiFi{ 1}% 0!
\or\BIC@AfterFiFiFi{ 1}% 1!
\or\BIC@AfterFiFiFi{ 2}% 2!
\or\BIC@AfterFiFiFi{ 6}% 3!
\or\BIC@AfterFiFiFi{ 24}% 4!
\or\BIC@AfterFiFiFi{ 120}% 5!
\or\BIC@AfterFiFiFi{ 720}% 6!
\or\BIC@AfterFiFiFi{ 5040}% 7!
\or\BIC@AfterFiFiFi{ 40320}% 8!
\or\BIC@AfterFiFiFi{ 362880}% 9!
\or\BIC@AfterFiFiFi{ 3628800}% 10!
\or\BIC@AfterFiFiFi{ 39916800}% 11!
\or\BIC@AfterFiFiFi{ 479001600}% 12!
? \else\BigIntCalcError:ThisCannotHappen%
\fi
\else
\BIC@AfterFiFi{%
\BIC@ProcessFac#1#2!479001600!%
}%
\fi
\BIC@Fi
}
\def\BIC@ProcessFac#1!#2!{%
\ifnum\BIC@PosCmp#1!12!=0 %
\BIC@AfterFi{ #2}%
\else
\BIC@AfterFi{%
\expandafter\BIC@@ProcessFac
\romannumeral0\BIC@ProcessMul0!#2!#1!%
!#1!%
}%
\BIC@Fi
}
\def\BIC@@ProcessFac#1!#2!{%
\expandafter\BIC@ProcessFac
\romannumeral0\BIC@Dec#2!{}%
!#1!%
}
\def\bigintcalcPow#1{%
\romannumeral0%
\expandafter\expandafter\expandafter\BIC@Pow
\bigintcalcNum{#1}!%
}
\def\BIC@Pow#1!#2{%
\expandafter\expandafter\expandafter\BIC@PowSwitch
\bigintcalcNum{#2}!#1!%
}
\def\BIC@PowSwitch#1#2!#3#4!{%
\ifcase\ifx\\#2\\%
\ifx#100 % y = 0
\else\ifx#111 % y = 1
\else\ifx#122 % y = 2
\else4 % y > 2
\fi\fi\fi
\else
\ifx#1-3 % y < 0
\else4 % y > 2
\fi
\fi
\BIC@AfterFi{ 1}% y = 0
\or % y = 1
\BIC@AfterFi{ #3#4}%
\or % y = 2
\ifx#3-% x < 0
\BIC@AfterFiFi{%
\BIC@ProcessMul0!#4!#4!%
}%
\else % x >= 0
\BIC@AfterFiFi{%
\BIC@ProcessMul0!#3#4!#3#4!%
}%
\fi
\or % y < 0
\ifcase\ifx\\#4\\%
\ifx#300 % x = 0
\else\ifx#311 % x = 1
\else3 % x > 1
\fi\fi
\else
\ifcase\BIC@MinusOne#3#4! %
3 % |x| > 1
\or
2 % x = -1
? \else\BigIntCalcError:ThisCannotHappen%
\fi
\fi
\BIC@AfterFiFi{ 0\BigIntCalcError:DivisionByZero}% x = 0
\or % x = 1
\BIC@AfterFiFi{ 1}% x = 1
\or % x = -1
\ifcase\BIC@ModTwo#2! % even(y)
\BIC@AfterFiFiFi{ 1}%
\or % odd(y)
\BIC@AfterFiFiFi{ -1}%
? \else\BigIntCalcError:ThisCannotHappen%
\fi
\or % |x| > 1
\BIC@AfterFiFi{ 0}%
? \else\BigIntCalcError:ThisCannotHappen%
\fi
\or % y > 2
\ifcase\ifx\\#4\\%
\ifx#300 % x = 0
\else\ifx#311 % x = 1
\else4 % x > 1
\fi\fi
\else
\ifx#3-%
\ifcase\BIC@MinusOne#3#4! %
3 % x < -1
\else
2 % x = -1
\fi
\else
4 % x > 1
\fi
\fi
\BIC@AfterFiFi{ 0}% x = 0
\or % x = 1
\BIC@AfterFiFi{ 1}% x = 1
\or % x = -1
\ifcase\BIC@ModTwo#1#2! % even(y)
\BIC@AfterFiFiFi{ 1}%
\or % odd(y)
\BIC@AfterFiFiFi{ -1}%
? \else\BigIntCalcError:ThisCannotHappen%
\fi
\or % x < -1
\ifcase\BIC@ModTwo#1#2! % even(y)
\BIC@AfterFiFiFi{%
\BIC@PowRec#4!#1#2!1!%
}%
\or % odd(y)
\expandafter-\romannumeral0%
\BIC@AfterFiFiFi{%
\BIC@PowRec#4!#1#2!1!%
}%
? \else\BigIntCalcError:ThisCannotHappen%
\fi
\or % x > 1
\BIC@AfterFiFi{%
\BIC@PowRec#3#4!#1#2!1!%
}%
? \else\BigIntCalcError:ThisCannotHappen%
\fi
? \else\BigIntCalcError:ThisCannotHappen%
\BIC@Fi
}
\def\BIC@ModTwo#1#2!{%
\ifx\\#2\\%
\ifodd#1 %
\BIC@AfterFiFi1%
\else
\BIC@AfterFiFi0%
\fi
\else
\BIC@AfterFi{%
\BIC@ModTwo#2!%
}%
\BIC@Fi
}
\def\BIC@MinusOne#1#2!{%
\ifx#1-%
\BIC@@MinusOne#2!%
\else
0%
\fi
}
\def\BIC@@MinusOne#1#2!{%
\ifx#11%
\ifx\\#2\\%
1%
\else
0%
\fi
\else
0%
\fi
}
\def\BIC@PowRec#1!#2#3!#4!{%
\ifcase\ifx#21\ifx\\#3\\0 \else1 \fi\else1 \fi % y = 1
\ifnum\BIC@PosCmp#1!#4!=1 % x > r
\BIC@AfterFiFi{%
\BIC@ProcessMul0!#1!#4!%
}%
\else
\BIC@AfterFiFi{%
\BIC@ProcessMul0!#4!#1!%
}%
\fi
\or
\ifcase\BIC@ModTwo#2#3! % even(y)
\BIC@AfterFiFi{%
\expandafter\BIC@@PowRec\romannumeral0%
\BIC@@Shr#2#3!%
!#1!#4!%
}%
\or % odd(y)
\ifnum\BIC@PosCmp#1!#4!=1 % x > r
\BIC@AfterFiFiFi{%
\expandafter\BIC@@@PowRec\romannumeral0%
\BIC@ProcessMul0!#1!#4!%
!#1!#2#3!%
}%
\else
\BIC@AfterFiFiFi{%
\expandafter\BIC@@@PowRec\romannumeral0%
\BIC@ProcessMul0!#1!#4!%
!#1!#2#3!%
}%
\fi
? \else\BigIntCalcError:ThisCannotHappen%
\fi
? \else\BigIntCalcError:ThisCannotHappen%
\BIC@Fi
}
\def\BIC@@PowRec#1!#2!#3!{%
\expandafter\BIC@PowRec\romannumeral0%
\BIC@ProcessMul0!#2!#2!%
!#1!#3!%
}
\def\BIC@@@PowRec#1!#2!#3!{%
\expandafter\BIC@@PowRec\romannumeral0%
\BIC@@Shr#3!%
!#2!#1!%
}
\def\bigintcalcDiv#1{%
\romannumeral0%
\expandafter\expandafter\expandafter\BIC@Div
\bigintcalcNum{#1}!%
}
\def\BIC@Div#1!#2{%
\expandafter\expandafter\expandafter\BIC@DivSwitchSign
\bigintcalcNum{#2}!#1!%
}
\def\BigIntCalcDiv#1!#2!{%
\romannumeral0%
\BIC@DivSwitchSign#2!#1!%
}
\def\BIC@DivSwitchSign#1#2!#3#4!{%
\ifcase\BIC@Sgn#1#2! % y = 0
\BIC@AfterFi{ 0\BigIntCalcError:DivisionByZero}%
\or % y > 0
\ifcase\BIC@Sgn#3#4! % x = 0
\BIC@AfterFiFi{ 0}%
\or % x > 0
\BIC@AfterFiFi{%
\BIC@DivSwitch{}#3#4!#1#2!%
}%
\else % x < 0
\BIC@AfterFiFi{%
\BIC@DivSwitch-#4!#1#2!%
}%
\fi
\else % y < 0
\ifcase\BIC@Sgn#3#4! % x = 0
\BIC@AfterFiFi{ 0}%
\or % x > 0
\BIC@AfterFiFi{%
\BIC@DivSwitch-#3#4!#2!%
}%
\else % x < 0
\BIC@AfterFiFi{%
\BIC@DivSwitch{}#4!#2!%
}%
\fi
\BIC@Fi
}
\def\BIC@DivSwitch#1#2!#3#4!{%
\ifcase\BIC@PosCmp#3#4!#2!% y = x
\BIC@AfterFi{ #11}%
\or % y > x
\BIC@AfterFi{ 0}%
\else % y < x
\ifx\\#1\\%
\else
\expandafter-\romannumeral0%
\fi
\ifcase\ifx\\#4\\%
\ifx#310 % y = 1
\else\ifx#321 % y = 2
\else\ifx#342 % y = 4
\else3 % y > 2
\fi\fi\fi
\else
3 % y > 2
\fi
\BIC@AfterFiFi{ #2}% y = 1
\or % y = 2
\BIC@AfterFiFi{%
\BIC@@Shr#2!%
}%
\or % y = 4
\BIC@AfterFiFi{%
\expandafter\BIC@@Shr\romannumeral0%
\BIC@@Shr#2!!%
}%
\or % y > 2
\BIC@AfterFiFi{%
\BIC@DivStartX#2!#3#4!!!%
}%
? \else\BigIntCalcError:ThisCannotHappen%
\fi
\BIC@Fi
}
\def\BIC@DivStartX#1#2!#3#4!#5!#6!{%
\ifx\\#4\\%
\BIC@AfterFi{%
\BIC@DivStartYii#6#3#4!{#5#1}#2=!%
}%
\else
\BIC@AfterFi{%
\BIC@DivStartX#2!#4!#5#1!#6#3!%
}%
\BIC@Fi
}
\def\BIC@DivStartYii#1!{%
\expandafter\BIC@DivStartYiv\romannumeral0%
\BIC@Shl#1!%
!#1!%
}
\def\BIC@DivStartYiv#1!{%
\expandafter\BIC@DivStartYvi\romannumeral0%
\BIC@Shl#1!%
!#1!%
}
\def\BIC@DivStartYvi#1!#2!{%
\expandafter\BIC@DivStartYviii\romannumeral0%
\BIC@AddXY#1!#2!!!%
!#1!#2!%
}
\def\BIC@DivStartYviii#1!#2!{%
\expandafter\BIC@DivStart\romannumeral0%
\BIC@Shl#2!%
!#1!#2!%
}
\def\BIC@DivStart#1!#2!#3!#4!#5!#6!{%
\BIC@ProcessDiv#6!!#5!#4!#3!#2!#1!=%
}
\def\BIC@ProcessDiv#1#2#3!#4!#5!{%
\ifcase\BIC@PosCmp#5!#1!% y = #1
\ifx#2=%
\BIC@AfterFiFi{\BIC@DivCleanup{#41}}%
\else
\BIC@AfterFiFi{%
\BIC@ProcessDiv#2#3!#41!#5!%
}%
\fi
\or % y > #1
\ifx#2=%
\BIC@AfterFiFi{\BIC@DivCleanup{#40}}%
\else
\ifx\\#4\\%
\BIC@AfterFiFiFi{%
\BIC@ProcessDiv{#1#2}#3!!#5!%
}%
\else
\BIC@AfterFiFiFi{%
\BIC@ProcessDiv{#1#2}#3!#40!#5!%
}%
\fi
\fi
\else % y < #1
\BIC@AfterFi{%
\BIC@@ProcessDiv{#1}#2#3!#4!#5!%
}%
\BIC@Fi
}
\def\BIC@DivCleanup#1#2={ #1}%
\def\BIC@@ProcessDiv#1#2#3!#4!#5!#6!#7!{%
\ifcase\BIC@PosCmp#7!#1!% 4y = #1
\ifx#2=%
\BIC@AfterFiFi{\BIC@DivCleanup{#44}}%
\else
\BIC@AfterFiFi{%
\BIC@ProcessDiv#2#3!#44!#5!#6!#7!%
}%
\fi
\or % 4y > #1
\ifcase\BIC@PosCmp#6!#1!% 2y = #1
\ifx#2=%
\BIC@AfterFiFiFi{\BIC@DivCleanup{#42}}%
\else
\BIC@AfterFiFiFi{%
\BIC@ProcessDiv#2#3!#42!#5!#6!#7!%
}%
\fi
\or % 2y > #1
\ifx#2=%
\BIC@AfterFiFiFi{\BIC@DivCleanup{#41}}%
\else
\BIC@AfterFiFiFi{%
\BIC@DivSub#1!#5!#2#3!#41!#5!#6!#7!%
}%
\fi
\else % 2y < #1
\BIC@AfterFiFi{%
\expandafter\BIC@ProcessDivII\romannumeral0%
\BIC@SubXY#1!#6!!!%
!#2#3!#4!#5!23%
#6!#7!%
}%
\fi
\else % 4y < #1
\BIC@AfterFi{%
\BIC@@@ProcessDiv{#1}#2#3!#4!#5!#6!#7!%
}%
\BIC@Fi
}
\def\BIC@DivSub#1!#2!#3{%
\expandafter\BIC@ProcessDiv\expandafter{%
\romannumeral0%
\BIC@SubXY#1!#2!!!%
#3%
}%
}
\def\BIC@ProcessDivII#1!#2#3!#4!#5!#6#7{%
\ifcase\BIC@PosCmp#5!#1!% y = #1
\ifx#2=%
\BIC@AfterFiFi{\BIC@DivCleanup{#4#7}}%
\else
\BIC@AfterFiFi{%
\BIC@ProcessDiv#2#3!#4#7!#5!%
}%
\fi
\or % y > #1
\ifx#2=%
\BIC@AfterFiFi{\BIC@DivCleanup{#4#6}}%
\else
\BIC@AfterFiFi{%
\BIC@ProcessDiv{#1#2}#3!#4#6!#5!%
}%
\fi
\else % y < #1
\ifx#2=%
\BIC@AfterFiFi{\BIC@DivCleanup{#4#7}}%
\else
\BIC@AfterFiFi{%
\BIC@DivSub#1!#5!#2#3!#4#7!#5!%
}%
\fi
\BIC@Fi
}
\def\BIC@@@ProcessDiv#1#2#3!#4!#5!#6!#7!#8!#9!{%
\ifcase\BIC@PosCmp#8!#1!% 6y = #1
\ifx#2=%
\BIC@AfterFiFi{\BIC@DivCleanup{#46}}%
\else
\BIC@AfterFiFi{%
\BIC@ProcessDiv#2#3!#46!#5!#6!#7!#8!#9!%
}%
\fi
\or % 6y > #1
\BIC@AfterFi{%
\expandafter\BIC@ProcessDivII\romannumeral0%
\BIC@SubXY#1!#7!!!%
!#2#3!#4!#5!45%
#6!#7!#8!#9!%
}%
\else % 6y < #1
\ifcase\BIC@PosCmp#9!#1!% 8y = #1
\ifx#2=%
\BIC@AfterFiFiFi{\BIC@DivCleanup{#48}}%
\else
\BIC@AfterFiFiFi{%
\BIC@ProcessDiv#2#3!#48!#5!#6!#7!#8!#9!%
}%
\fi
\or % 8y > #1
\BIC@AfterFiFi{%
\expandafter\BIC@ProcessDivII\romannumeral0%
\BIC@SubXY#1!#8!!!%
!#2#3!#4!#5!67%
#6!#7!#8!#9!%
}%
\else % 8y < #1
\BIC@AfterFiFi{%
\expandafter\BIC@ProcessDivII\romannumeral0%
\BIC@SubXY#1!#9!!!%
!#2#3!#4!#5!89%
#6!#7!#8!#9!%
}%
\fi
\BIC@Fi
}
\def\bigintcalcMod#1{%
\romannumeral0%
\expandafter\expandafter\expandafter\BIC@Mod
\bigintcalcNum{#1}!%
}
\def\BIC@Mod#1!#2{%
\expandafter\expandafter\expandafter\BIC@ModSwitchSign
\bigintcalcNum{#2}!#1!%
}
\def\BigIntCalcMod#1!#2!{%
\romannumeral0%
\BIC@ModSwitchSign#2!#1!%
}
\def\BIC@ModSwitchSign#1#2!#3#4!{%
\ifcase\ifx\\#2\\%
\ifx#100 % y = 0
\else1 % y > 0
\fi
\else
\ifx#1-2 % y < 0
\else1 % y > 0
\fi
\fi
\BIC@AfterFi{ 0\BigIntCalcError:DivisionByZero}%
\or % y > 0
\ifcase\ifx\\#4\\\ifx#300 \else1 \fi\else1 \fi % x = 0
\BIC@AfterFiFi{ 0}%
\else
\BIC@AfterFiFi{%
\BIC@ModSwitch{}#3#4!#1#2!%
}%
\fi
\else % y < 0
\ifcase\ifx\\#4\\%
\ifx#300 % x = 0
\else1 % x > 0
\fi
\else
\ifx#3-2 % x < 0
\else1 % x > 0
\fi
\fi
\BIC@AfterFiFi{ 0}%
\or % x > 0
\BIC@AfterFiFi{%
\BIC@ModSwitch--#3#4!#2!%
}%
\else % x < 0
\BIC@AfterFiFi{%
\BIC@ModSwitch-#4!#2!%
}%
\fi
\BIC@Fi
}
\def\BIC@ModSwitch#1#2#3!#4#5!{%
\ifcase\ifx\\#5\\%
\ifx#410 % y = 1
\else\ifx#421 % y = 2
\else2 % y > 2
\fi\fi
\else2 % y > 2
\fi
\BIC@AfterFi{ 0}% y = 1
\or % y = 2
\ifcase\BIC@ModTwo#2#3! % even(x)
\BIC@AfterFiFi{ 0}%
\or % odd(x)
\BIC@AfterFiFi{ #11}%
? \else\BigIntCalcError:ThisCannotHappen%
\fi
\or % y > 2
\ifx\\#1\\%
\else
\expandafter\BIC@Space\romannumeral0%
\expandafter\BIC@ModMinus\romannumeral0%
\fi
\ifx#2-% x < 0
\BIC@AfterFiFi{%
\expandafter\expandafter\expandafter\BIC@ModX
\bigintcalcSub{#2#3}{%
\bigintcalcMul{#4#5}{\bigintcalcDiv{#2#3}{#4#5}}%
}!#4#5!%
}%
\else % x > 0
\BIC@AfterFiFi{%
\expandafter\expandafter\expandafter\BIC@Space
\bigintcalcSub{#2#3}{%
\bigintcalcMul{#4#5}{\bigintcalcDiv{#2#3}{#4#5}}%
}%
}%
\fi
? \else\BigIntCalcError:ThisCannotHappen%
\BIC@Fi
}
\def\BIC@ModMinus#1{%
\ifx#10%
\BIC@AfterFi{ 0}%
\else
\BIC@AfterFi{ -#1}%
\BIC@Fi
}
\def\BIC@ModX#1#2!#3!{%
\ifx#1-% z < 0
\BIC@AfterFi{%
\expandafter\BIC@Space\romannumeral0%
\BIC@SubXY#3!#2!!!%
}%
\else % z >= 0
\BIC@AfterFi{ #1#2}%
\BIC@Fi
}
\BIC@AtEnd%
%% \section{Installation}
\endinput
%%
%% End of file `bigintcalc.sty'.