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Diffstat (limited to 'Master/texmf-dist/tex')
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diff --git a/Master/texmf-dist/tex/latex/rangen/rangen.sty b/Master/texmf-dist/tex/latex/rangen/rangen.sty new file mode 100644 index 00000000000..7f5feb52ebe --- /dev/null +++ b/Master/texmf-dist/tex/latex/rangen/rangen.sty @@ -0,0 +1,1173 @@ +%% +%% This is file `rangen.sty', +%% generated with the docstrip utility. +%% +%% The original source files were: +%% +%% rangen.dtx (with options: `copyright,package') +%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Rangen.sty package, 2000-3-05 %% +%% Copyright (C) 1999-2002 D. P. Story %% +%% dpstory@uakron.edu %% +%% %% +%% This program can redistributed and/or modified under %% +%% the terms of the LaTeX Project Public License %% +%% Distributed from CTAN archives in directory %% +%% macros/latex/base/lppl.txt; either version 1 of the %% +%% License, or (at your option) any later version. %% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\NeedsTeXFormat{LaTeX2e}[1997/12/01] +\ProvidesPackage{rangen} + [2009/04/18 v1.3e Rangen: Generate Random Questions (dps)] +\newcount\seedCnt +\DeclareOption{testmode}{% + \InputIfFileExists{\jobname.seed}{}{\def\thisseed{1}}% + \PassOptionsToPackage{seed=\thisseed}{lcg}% + \AtEndOfPackage{\reseedEachRun}% +} +\def\reseedEachRun{% + \seedCnt=\thisseed + \advance\seedCnt1\relax + \newwrite \rngWrite + \immediate\openout\rngWrite \jobname.seed + \immediate\write\rngWrite{\string\def\string\thisseed{\the\seedCnt}} + \immediate\closeout\rngWrite +} +\def\RNG@Dec{.} +\DeclareOption*{\PassOptionsToPackage{\CurrentOption}{lcg}} +\ProcessOptions +\RequirePackage{lcg}[2008/09/10] +\edef\rng@saveSeed{\the\cr@nd} +\newcount\loopCnt +\def\maxLoopLimit{10} +\def\typeCodeForz{0} +\def\typeCodeForq{1} +\def\typeCodeForr{2} +\newcount\rng@cnta +\newcount\rng@cntb +\def\@getVarName#1{% + \edef\@varName{\expandafter\@gobble\string#1}% +} +\def\@getVarType#1{% + \@getVarName{#1}\edef\varType{\csname typeof@\@varName\endcsname}} +\def\gcd#1#2{{% #1 = a, #2 = b + \ifnum#2=0 \edef\next{#1}\else + \@tempcnta=#1 \@tempcntb=#2 \divide\@tempcnta by\@tempcntb + \multiply\@tempcnta by\@tempcntb % q*b + \@tempcntb=#1 + \advance\@tempcntb by-\@tempcnta % remainder in \@tempcntb + \ifnum\@tempcntb=0 + \@tempcnta=#2 + \ifnum\@tempcnta < 0 \@tempcnta=-\@tempcnta\fi + \xdef\gcd@next{\noexpand% + \def\noexpand\thegcd{\the\@tempcnta}}% + \else + \xdef\gcd@next{\noexpand\gcd{#2}{\the\@tempcntb}}% + \fi + \fi}\gcd@next +} +\def\lcm#1#2{% #1 = a, #2 = b + \gcd{#1}{#2}% + {\@tempcnta=#1 + \multiply\@tempcnta by#2 + \divide\@tempcnta by\thegcd + \xdef\thelcm{\the\@tempcnta}}% +} +\def\amodb#1#2{% #1 = a, #2 = b + {\@tempcnta=#1 + \divide\@tempcnta by#2 + \multiply\@tempcnta by#2 + \@tempcntb=#1 + \advance\@tempcntb by-\@tempcnta + \xdef\retnmod{\the\@tempcntb}}% +} +\newcommand\reduceFrac[2] +{% + \gcd{#1}{#2}{\@tempcnta=#1 \divide\@tempcnta by\thegcd + \@tempcntb=#2 \divide\@tempcntb by\thegcd + \ifnum\@tempcntb<0\relax + \@tempcntb=-\@tempcntb + \@tempcnta=-\@tempcnta + \fi + \xdef\rfNumer{\the\@tempcnta}\xdef\rfDenom{\the\@tempcntb}}% +} +\def\convertRatTo#1#2#3{{% + \@tempcnta=#3 + \multiply\@tempcnta by#1 + \divide\@tempcnta by#2 + \xdef\rng@retn@num{\the\@tempcnta}% +}} +\newcommand\RNGadd[2]{% + \rng@cnta=\nOf#1 \multiply\rng@cnta by\dOf#2 + \rng@cntb=\nOf#2 \multiply\rng@cntb by\dOf#1 + \advance\rng@cnta by\the\rng@cntb + \rng@cntb=\dOf#1 \multiply\rng@cntb by\dOf#2 + \reduceFrac{\the\rng@cnta}{\the\rng@cntb} +} +\def\rng@isControl#1{\@ifundefined{\expandafter\@gobble\string#1}% + {\let\rng@isC@ntrol=0}{\let\rng@isC@ntrol=1}} +\def\rng@existStar#1{\rng@existSt@r#1**\@nil} +\def\rng@existSt@r#1*#2*#3\@nil{\def\rng@isStari{#1}% + \def\rng@isStarii{#2}\def\rng@isStariii{#3}% +} +\def\rng@NameEndpoint#1{% + \ifx\rng@isStari\@empty + \edef#1{\expandafter\noexpand\rng@isStarii}% + \else\ifx\rng@isStarii\@empty + \edef#1{\expandafter\noexpand\rng@isStari}% + \fi\fi +} +\newcommand\defineZ[2] +{% + \@getVarName#1\relax + \expandafter\def\csname typeof@\@varName\endcsname{0}% + \expandafter\edef\csname n@\@varName\endcsname{#2}% + \expandafter\edef\csname d@\@varName\endcsname{1}% + \edef\display@TeXfmt{#2}\edef\inline@TeXfmt{#2}% + \ifnum#2=1\relax\rng@makeOneFmtDefns + \else\ifnum#2=-1\relax\rng@makeMinusOneFmtDefns + \else\rng@makeOtherFmtDefns\fi\fi + \expandafter\let\csname\@varName*\endcsname\display@TeXfmt + \expandafter\let\csname\@varName!\endcsname\inline@TeXfmt + \expandafter\edef\csname\@varName\endcsname{#2}% +} +\newcommand\defineQ[3] +{% + \@getVarName#1\relax + \expandafter\def\csname typeof@\@varName\endcsname{1}% + \expandafter\edef\csname n@\@varName\endcsname{#2}% + \expandafter\edef\csname d@\@varName\endcsname{#3}% + \edef\display@TeXfmt{\frac{#2}{#3}}\edef\inline@TeXfmt{#2/#3}% + \ifnum#2=#3\relax\rng@makeOneFmtDefns + \else\ifnum#2=-#3\relax\rng@makeMinusOneFmtDefns + \else\rng@makeOtherFmtDefns\fi\fi + \expandafter\let\csname\@varName*\endcsname\display@TeXfmt + \expandafter\let\csname\@varName!\endcsname\inline@TeXfmt + \expandafter\edef\csname\@varName\endcsname{#2/#3}% + \simplifyCurrentQ +} +\newcommand{\defineR}[2]{% + \@getVarName{#1}\RNGparseDec{#2}% + \expandafter\def\csname typeof@\@varName\endcsname{2}% + \reduceFrac{\rng@intpart\rng@fracpart}{\rndPower}% + \expandafter\edef\csname n@\@varName\endcsname{\rfNumer}% + \expandafter\edef\csname d@\@varName\endcsname{\rfDenom}% + \edef\display@TeXfmt{#2}\edef\inline@TeXfmt{#2}% + \ifnum\rfNumer=1\relax\rng@makeOneFmtDefns + \else\ifnum\rfNumer=-1\relax\rng@makeMinusOneFmtDefns + \else\rng@makeOtherFmtDefns\fi\fi + \expandafter\let\csname\@varName*\endcsname\display@TeXfmt + \expandafter\let\csname\@varName!\endcsname\inline@TeXfmt + \expandafter\edef\csname\@varName\endcsname{#2}% + \simplifyCurrentR +} +\newcommand{\simplifyCurrentR}{% + \ifnum\csname d@\@varName\endcsname=1 + \expandafter\defineZ + \csname\@varName\endcsname{\csname n@\@varName\endcsname}\fi +} +\def\rng@makeOneFmtDefns{% + \expandafter\def\csname\@varName!e\endcsname{}% + \expandafter\def\csname\@varName!c\endcsname{}% + \expandafter\def\csname\@varName*e\endcsname{}% + \expandafter\def\csname\@varName*c\endcsname{}% +} +\def\rng@makeMinusOneFmtDefns{% + \expandafter\def\csname\@varName!e\endcsname{-1}% + \expandafter\def\csname\@varName!c\endcsname{-}% + \expandafter\def\csname\@varName*e\endcsname{-1}% + \expandafter\def\csname\@varName*c\endcsname{-}% +} +\def\rng@makeOtherFmtDefns{% + \expandafter\let\csname\@varName!e\endcsname\inline@TeXfmt + \expandafter\let\csname\@varName!c\endcsname\inline@TeXfmt + \expandafter\let\csname\@varName*e\endcsname\display@TeXfmt + \expandafter\let\csname\@varName*c\endcsname\display@TeXfmt +} +\def\RNGparseRat#1{\expandafter\@chkslash#1//\@nil} +\def\@chkslash#1/#2/#3\@nil{% + \def\rng@num{#1}\def\rng@denom{#2}% + \def\rng@parseQ@iii{#3}% + \ifx\rng@denom\@empty\def\rng@denom{1}\fi +} +\newcommand{\RNGparseDec}[1]{\edef\parse@argi{#1}% + \expandafter\@chkdec\parse@argi..\@nil} +\def\@chkdec#1.#2.#3\@nil{% + \def\rng@intpart{#1}\def\rng@fracpart{#2}% + \def\rng@parseR@iii{#3}\rng@getnDec} +\def\rng@getnDec{% + \begingroup + \ifx\rng@fracpart\@empty\gdef\rndnDec{0}\gdef\rndPower{1}\else + \count0=0\relax\count2=1\relax + \expandafter\cntNumDec\rng@fracpart\end\fi + \endgroup} +\def\cntNumDec#1#2\end{% + \advance\count0by1 + \def\rng@arg{#2}% + \ifx\rng@arg\@empty + \xdef\rndnDec{\the\count0}% + \xdef\rndPower{1\@nameuse{rng@tz\the\count0}}% + \let\rng@next\relax + \else + \def\rng@next{\cntNumDec#2\end}% + \fi\rng@next +} +\newcommand{\nDivisionsPowerOfTen}[1]{% + \begingroup + \count0=#1\relax + \ifnum\count0>4\relax + \PackageError{rangen}{Number of subdivisions too large}% + {Reduce the argument of \string\nDivisionsPowerOfTen.}% + \else + \ifnum\count0<1\relax + \PackageError{rangen}{Number of subdivisions too large}% + {Increase the argument of \string\nDivisionsPowerOfTen.}% + \fi\fi + \xdef\RNGpowerOfTen{1\@nameuse{rng@tz#1}}% + \endgroup +} +\nDivisionsPowerOfTen{2} +\newcommand\RandomZ[4][] +{% + \def\rng@ne@values{}% + \setkeys{rangen}{ne,#1}% + \let\rng@CtrlLEP=0\let\rng@CtrlUEP=0% + \let\rng@makeLEPStrict=0\let\rng@makeUEPStrict=0% + \rng@existStar{#3}\rng@NameEndpoint{\rng@LEP}% + \if\rng@isStariii*\edef\tmp@exp{% + \noexpand\rng@isControl{\expandafter\noexpand\rng@LEP}}\tmp@exp + \if\rng@isC@ntrol1% a control sequence + \let\rng@CtrlLEP=1\let\rng@makeLEPStrict=1% + \edef\tmp@exp{\noexpand% + \@getVarType{\expandafter\noexpand\rng@LEP}}\tmp@exp + \ifcase\varType % integer + \rng@cnta=\rng@LEP + \or % rational + \rng@dima=\expandafter\nOf\rng@LEP pt + \divide\rng@dima by\expandafter\dOf\rng@LEP + \defineR{\rng@LEP}{\strip@pt\rng@dima}% + \RNGparseDec{\rng@LEP}% + \rng@cnta=\rng@intpart + \or % real + \defineR{\rng@LEP}{\rng@LEP}% + \RNGparseDec{\rng@LEP}% + \rng@cnta=\rng@intpart + \fi + \advance\rng@cnta by1\relax + \defineZ{\rng@LEP}{\the\rng@cnta}% + \else + \defineZ{\rng@LEP}{\rng@LEP}% + \fi + \else + \rng@isControl{#3}% + \if\rng@isC@ntrol1% control sequence + \let\rng@CtrlLEP=1% + \def\rng@LEP{#3}% + \@getVarType{#3}% + \ifcase\varType % integer + \defineZ{\rng@LEP}{#3}% + \or % rational + \rng@dima=\nOf{#3}pt + \divide\rng@dima by\dOf{#3}% + \defineR{\rng@LEP}{\strip@pt\rng@dima}% + \RNGparseDec{\rng@LEP}% + \defineZ{\rng@LEP}{\rng@intpart}% + \or % real + \defineR{\rng@LEP}{\rng@LEP}% + \RNGparseDec{\rng@LEP}% + \defineZ{\rng@LEP}{\rng@intpart}% + \fi + \else + \defineZ{\rng@LEP}{#3}% + \fi + \fi + \rng@existStar{#4}\rng@NameEndpoint{\rng@UEP}% + \if\rng@isStariii*\edef\tmp@exp{% + \noexpand\rng@isControl{\expandafter\noexpand\rng@UEP}}\tmp@exp + \if\rng@isC@ntrol1% a control sequence + \let\rng@CtrlUEP=1\let\rng@makeUEPStrict=1% + \edef\tmp@exp{\noexpand% + \@getVarType{\expandafter\noexpand\rng@UEP}}\tmp@exp + \ifcase\varType % integer + \rng@cnta=\rng@UEP + \or % rational + \rng@dima=\expandafter\nOf\rng@UEP pt + \divide\rng@dima by\expandafter\dOf\rng@UEP + \defineR{\rng@UEP}{\strip@pt\rng@dima}% + \RNGparseDec{\rng@UEP}% + \rng@cnta=\rng@intpart + \or % real + \defineR{\rng@UEP}{\rng@UEP}% + \RNGparseDec{\rng@UEP}% + \rng@cnta=\rng@intpart + \fi + \advance\rng@cnta by-1\relax + \defineZ{\rng@UEP}{\the\rng@cnta}% + \else + \defineZ{\rng@UEP}{\rng@UEP}% + \fi + \else + \rng@isControl{#4}% + \if\rng@isC@ntrol1% control sequence + \let\rng@CtrlUEP=1% + \def\rng@UEP{#4}% + \@getVarType{#4}% + \ifcase\varType % integer + \defineZ{\rng@UEP}{#4}% + \or % rational + \rng@dima=\nOf{#4}pt + \divide\rng@dima by\dOf{#4}% + \defineR{\rng@UEP}{\strip@pt\rng@dima}% + \RNGparseDec{\rng@UEP}% + \defineZ{\rng@UEP}{\rng@intpart}% + \or % real + \defineR{\rng@UEP}{\rng@UEP}% + \RNGparseDec{\rng@UEP}% + \defineZ{\rng@UEP}{\rng@intpart}% + \fi + \else + \defineZ{\rng@UEP}{#4}% + \fi + \fi + \def\@currentName{#2}% + \@getVarName{#2}% + \expandafter\def\csname typeof@\@varName\endcsname{0}% + \expandafter\edef\csname first@\@varName\endcsname{\rng@LEP}% + \expandafter\edef\csname last@\@varName\endcsname{\rng@UEP}% + \rng@chgrand[first=\rng@LEP,last=\rng@UEP]\rand + \defineZ{#2}{\arabic{rand}}% + \ifx\rangen@ne\@empty\else\loopCnt=0\relax + \@whilenum\loopCnt<\maxLoopLimit\do{% + \rng@cnta=1\relax + \@for\ne@@tmp:=\rangen@ne\do{% + \ifnum\value{rand}=\ne@@tmp\relax + \multiply\rng@cnta0\relax + \else + \multiply\rng@cnta1\relax + \fi + }% + \ifnum\rng@cnta=1\relax % all conditions met + \loopCnt=\maxLoopLimit + \else % if \rng@cnta \ne 1, try again + \advance\loopCnt1\relax + \ifnum\loopCnt=\maxLoopLimit + \PackageWarning{rangen}{Not all conditions met + after \maxLoopLimit\space tries}% + \else + \rng@chgrand[first=\rng@LEP,last=\rng@UEP]\rand + \fi + \fi + }% + \fi + \defineZ{#2}{\arabic{rand}}% +} +\def\updateZ#1#2{% + \@getVarName#1\relax + \expandafter\edef\csname\@varName\endcsname{#2}% + \expandafter\edef\csname n@\@varName\endcsname{#2}% + \expandafter\edef\csname d@\@varName\endcsname{1}% +} +\newcommand{\RandomQ}[2][] +{% + \setkeys{rangen}{ne,#1}% + \def\rq@currentName{#2}% + \@RandomQ +} +\newcommand{\@RandomQ}[3][] +{% + \let\rng@CtrlLEP=0\let\rng@CtrlUEP=0% + \let\rng@makeLEPStrict=0\let\rng@makeUEPStrict=0% + \rng@existStar{#2}\rng@NameEndpoint{\rng@LEP}% + \if\rng@isStariii*\edef\tmp@exp{\noexpand% + \rng@isControl{\expandafter\noexpand\rng@LEP}}\tmp@exp + \if\rng@isC@ntrol1% a control sequence + \let\rng@CtrlLEP=1\let\rng@makeLEPStrict=1% + \edef\tmp@exp{\noexpand% + \@getVarType{\expandafter\noexpand\rng@LEP}}\tmp@exp + \ifcase\varType % integer + \defineQ{\rng@LEP}{\rng@LEP}{1}% + \or % rational + \edef\tmp@exp{\noexpand% + \defineQ{\noexpand\rng@LEP}{\expandafter\nOf\rng@LEP}% + {\expandafter\dOf\rng@LEP}}\tmp@exp + \or % real + \defineR{\rng@LEP}{\rng@LEP}% + \RNGparseDec{\rng@LEP}% + \defineQ{\rng@LEP}{\rng@intpart}{\rng@fracpart}% + \fi + \else + \RNGparseRat{\rng@LEP}% + \defineQ{\rng@UEP}{\rng@intpart}{\rng@fracpart}% + \fi + \else + \rng@isControl{#2}% + \if\rng@isC@ntrol1% a control sequence + \@getVarType{#2}% + \ifcase\varType % integer + \defineQ{\rng@LEP}{#2}{1}% + \or % rational + \defineQ{\rng@LEP}{\nOf{#2}}{\dOf{#2}}% + \or % real + \defineR{\rng@LEP}{#2}% + \RNGparseDec{\rng@LEP}% + \defineQ{\rng@LEP}{\rng@intpart}{\rng@fracpart}% + \fi + \else % a number, required to be rational + \RNGparseRat{#2}% + \defineQ{\rng@LEP}{\rng@num}{\rng@denom}% + \fi + \fi + \rng@existStar{#3}\rng@NameEndpoint{\rng@UEP}%% + \if\rng@isStariii*% + \edef\tmp@exp{\noexpand% + \rng@isControl{\expandafter\noexpand\rng@UEP}}\tmp@exp + \if\rng@isC@ntrol1% a control sequence + \let\rng@CtrlUEP=1\let\rng@makeUEPStrict=1% + \edef\tmp@exp{\noexpand% + \@getVarType{\expandafter\noexpand\rng@UEP}}\tmp@exp + \ifcase\varType % integer + \defineQ{\rng@UEP}{\rng@UEP}{1}% + \or % rational + \edef\tmp@exp{\noexpand% + \defineQ{\noexpand\rng@UEP}{\expandafter\nOf\rng@UEP}% + {\expandafter\dOf\rng@UEP}}\tmp@exp + \or % real + \defineR{\rng@UEP}{\rng@UEP}% + \RNGparseDec{\rng@UEP}% + \defineQ{\rng@UEP}{\rng@intpart}{\rng@fracpart}% + \fi + \else + \RNGparseRat{\rng@UEP}% + \defineQ{\rng@UEP}{\rng@intpart}{\rng@fracpart}% + \fi + \else + \rng@isControl{#3}% + \if\rng@isC@ntrol1% a control sequence + \@getVarType{#3}% + \ifcase\varType % integer + \defineQ{\rng@UEP}{#3}{1}% + \or % rational + \defineQ{\rng@UEP}{\nOf{#3}}{\dOf{#3}}% + \or % real + \defineR{\rng@UEP}{#3}% + \RNGparseDec{\rng@UEP}% + \defineQ{\rng@UEP}{\rng@intpart}{\rng@fracpart}% + \fi + \else % a number, required to be rational + \RNGparseRat{#3}% + \defineQ{\rng@UEP}{\rng@num}{\rng@denom}% + \fi + \fi + \@@RandomQ{#1}{\nOf{\rng@LEP}}{\dOf{\rng@LEP}}% + {\nOf{\rng@UEP}}{\dOf{\rng@UEP}}% +} +\newcommand{\@@RandomQ}[5] +{% + \updateQ\@rqi{#2}{#3}\updateQ\@rqii{#4}{#5}% + \lcm{#3}{#5}\edef\@thelcm{\thelcm}% + \def\@maxDenom{#1}% + \ifx\@maxDenom\@empty\edef\@maxDenom{\@thelcm}\else + \lcm{\@thelcm}{#1}\edef\@thelcm{\thelcm}\fi + \convertRatTo{\nOf\@rqi}{\dOf\@rqi}{\@thelcm}% + \updateQ\@@rqi{\rng@retn@num}{\@thelcm}% + \convertRatTo{\nOf\@rqii}{\dOf\@rqii}{\@thelcm}% + \updateQ\@@rqii{\rng@retn@num}{\@thelcm}% + \rng@cnta=\@thelcm \divide\rng@cnta by\@maxDenom + \edef\@divisor{\the\rng@cnta}% + \rng@cnta=\nOf\@@rqi + \divide\rng@cnta by\@divisor + \advance\rng@cnta by1 + \rng@cntb=\nOf\@@rqii\divide\rng@cntb by\@divisor + \if\rng@makeLEPStrict1\advance\rng@cnta1\relax\fi + \if\rng@makeUEPStrict1\advance\rng@cntb-1\relax\fi + \expandafter\@getVarName\rq@currentName + \let\save@varName\@varName + \expandafter\edef\csname first@n@\@varName\endcsname{\the\rng@cnta}% + \expandafter\edef\csname last@n@\@varName\endcsname{\the\rng@cntb}% + \expandafter\edef\csname first@d@\@varName\endcsname{\@maxDenom}% + \expandafter\edef\csname last@d@\@varName\endcsname{\@maxDenom}% + \edef\rng@LEP{\csname first@n@\@varName\endcsname}% + \edef\rng@UEP{\csname last@n@\@varName\endcsname}% + \rng@chgrand[first=\rng@LEP,last=\rng@UEP]\rand + \let\@currentName\rq@currentName + \expandafter\@getVarName\rq@currentName + \expandafter\defineQ\@currentName{\arabic{rand}}{\@maxDenom}% + \simplifyCurrentQ + \expandafter\defineQ\@currentName{\expandafter\nOf\@currentName}% + {\expandafter\dOf\@currentName}% + \ifx\rangen@ne\@empty\else\loopCnt=0\relax + \@whilenum\loopCnt<\maxLoopLimit\do{% + \rng@cnta=1\relax + \@for\ne@@tmp:=\rangen@ne\do{% + \let\save@currentName\rq@currentName + \RNGparseRat{\ne@@tmp}% + \defineQ{\cmp@Name}{\rng@num}{\rng@denom}% + \let\@varName\save@varName + \syncronizeQs{\@varName}% + \ifnum\csname n@\@varName\endcsname=\n@cmp@Name + \multiply\rng@cnta0\relax + \else + \multiply\rng@cnta1\relax + \fi + }% + \ifnum\rng@cnta=1\relax % all conditions met + \loopCnt=\maxLoopLimit + \else % if \rng@cnta \ne 1, try again + \advance\loopCnt1\relax + \ifnum\loopCnt=\maxLoopLimit + \PackageWarning{rangen}{Not all conditions met + after \maxLoopLimit\space tries}% + \else + \rng@chgrand[first=\rng@LEP,last=\rng@UEP]\rand + \expandafter\@getVarName\rq@currentName + \expandafter\defineQ\@currentName{\arabic{rand}}% + {\@maxDenom}% + \fi + \fi + }% + \fi + \simplifyCurrentQ + \expandafter\defineQ\@currentName{\expandafter\nOf\@currentName}% + {\expandafter\dOf\@currentName}% + \let\@currentName\rq@currentName + \expandafter\@getVarName\rq@currentName + \ifnum\csname d@\@varName\endcsname=1\relax\expandafter + \defineZ\@currentName{\expandafter\nOf\@currentName}% + \fi + \simplifyCurrentQ +} +\newcommand\updateQ[3] +{% + \@getVarName#1\relax + \expandafter\edef\csname\@varName\endcsname{#2/#3}% + \expandafter\edef\csname n@\@varName\endcsname{#2}% + \expandafter\edef\csname d@\@varName\endcsname{#3}% +} +\def\simplifyCurrentQ +{% + \reduceFrac{\csname n@\@varName\endcsname}% + {\csname d@\@varName\endcsname}% + \expandafter\edef\csname n@\@varName\endcsname{\rfNumer}% + \expandafter\edef\csname d@\@varName\endcsname{\rfDenom}% + \ifnum\csname n@\@varName\endcsname=0 + \expandafter\edef\csname\@varName\endcsname{0}% + \edef\display@TeXfmt{0}\edef\inline@TeXfmt{0}% + \else + \ifnum\csname n@\@varName\endcsname=\csname d@\@varName\endcsname + \expandafter\defineZ\csname\@varName\endcsname{1}% + \else + \ifnum\csname n@\@varName\endcsname + =-\csname d@\@varName\endcsname + \expandafter\defineZ\csname\@varName\endcsname{-1}% + \else + \ifnum\csname d@\@varName\endcsname=1 + \expandafter\defineZ\csname\@varName\endcsname + {\csname n@\@varName\endcsname}% + \else + \expandafter\edef\csname \@varName\endcsname{% + \csname n@\@varName\endcsname/% + \csname d@\@varName\endcsname}% + \edef\display@TeXfmt{% + \frac{\csname n@\@varName\endcsname} + {\csname d@\@varName\endcsname}}% + \edef\inline@TeXfmt{% + \csname n@\@varName\endcsname/% + \csname d@\@varName\endcsname}% + \expandafter\let + \csname\@varName*\endcsname\display@TeXfmt + \fi + \fi + \fi + \fi +} +\newcommand\nOf[1]{\csname n@\expandafter\@gobble\string#1\endcsname} +\newcommand\dOf[1]{\csname d@\expandafter\@gobble\string#1\endcsname} +\newcommand{\iOf}[1]{\csname i@\expandafter\@gobble\string#1\endcsname} +\newcommand\typeOf[1]{% + \csname typeof@\expandafter\@gobble\string#1\endcsname} +\newif\iftrailingzeros\trailingzerosfalse +\@namedef{rng@tz1}{0} +\@namedef{rng@tz2}{00} +\@namedef{rng@tz3}{000} +\@namedef{rng@tz4}{0000} +\@namedef{rng@tz5}{00000} +\@namedef{rng@tz6}{000000} +\@namedef{rng@tz7}{0000000} +\@namedef{rng@tz8}{00000000} +\def\rng@true{true}\def\rng@false{false} +\newdimen\rng@dima +\newdimen\rng@dimb +\newdimen\rng@dimc +\define@key{rangen}{ne}[]{\edef\rangen@ne{#1}} +\define@key{rangen}{round}[]{\def\rangen@round{#1}} +\define@key{rangen}{showzeros}[]{\def\rangen@showzeros{#1}% + \ifx\rangen@showzeros\@empty\global\trailingzerostrue\else + \ifx\rangen@showzeros\rng@true\global\trailingzerostrue\else + \global\trailingzerosfalse\fi\fi} +\define@key{rangen}{index}[]{\edef\rangen@index{#1}} +\newcommand{\RandomR}[4][]{% + \setkeys{rangen}{ne,round,showzeros=false,#1}% + \let\rng@CtrlLEP=0\let\rng@CtrlUEP=0% + \let\rng@makeLEPStrict=0\let\rng@makeUEPStrict=0% + \def\rng@lcg@first{0}\edef\rng@lcg@last{\RNGpowerOfTen}% + \rng@existStar{#3}\rng@NameEndpoint{\rng@LEP}% + \if\rng@isStariii*\edef\tmp@exp{\noexpand% + \rng@isControl{\expandafter\noexpand\rng@LEP}}\tmp@exp + \if\rng@isC@ntrol1% a control sequence + \let\rng@CtrlLEP=1\let\rng@makeLEPStrict=1% + \def\rng@lcg@first{1}% + \edef\tmp@exp{\noexpand% + \@getVarType{\expandafter\noexpand\rng@LEP}}\tmp@exp + \ifcase\varType % integer + \defineR{\rng@LEP}{\rng@LEP\RNG@Dec}% + \or % rational + \rng@dima=\expandafter\nOf\rng@LEP pt + \divide\rng@dima by\expandafter\dOf\rng@LEP + \defineR{\rng@LEP}{\strip@pt\rng@dima}% + \or % real + \defineR{\rng@LEP}{\rng@LEP}% + \fi + \else + \defineR{\rng@LEP}{\rng@LEP}% + \fi + \else + \rng@isControl{#3}% + \if\rng@isC@ntrol1% control sequence + \let\rng@CtrlLEP=1\def\rng@LEP{#3}% + \@getVarType{#3}% + \ifcase\varType % integer + \defineR{\rng@LEP}{\rng@LEP\RNG@Dec}% + \or % rational + \rng@dima=\nOf{#3}pt + \divide\rng@dima by\dOf{#3}% + \defineR{\rng@LEP}{\strip@pt\rng@dima}% + \or % real + \defineR{\rng@LEP}{\rng@LEP}% + \fi + \else + \defineR{\rng@LEP}{#3}% + \fi + \fi + \rng@existStar{#4}\rng@NameEndpoint{\rng@UEP}% + \if\rng@isStariii*\edef\tmp@exp{\noexpand% + \rng@isControl{\expandafter\noexpand\rng@UEP}}\tmp@exp + \if\rng@isC@ntrol1% a control sequence + \let\rng@CtrlUEP=1\let\rng@makeUEPStrict=1% + \rng@cnta=\rng@lcg@last\advance\rng@cnta-1\relax + \edef\rng@lcg@last{\the\rng@cnta}% + \edef\tmp@exp{\noexpand% + \@getVarType{\expandafter\noexpand\rng@UEP}}\tmp@exp + \ifcase\varType % integer + \defineR{\rng@UEP}{\rng@UEP\RNG@Dec}% + \or % rational + \rng@dima=\expandafter\nOf\rng@UEP pt + \divide\rng@dima by\expandafter\dOf\rng@UEP + \defineR{\rng@UEP}{\strip@pt\rng@dima}% + \or % real + \defineR{\rng@UEP}{\rng@UEP}% + \fi + \else + \defineR{\rng@UEP}{\rng@UEP}% + \fi + \else + \rng@isControl{#4}% + \if\rng@isC@ntrol1% control sequence + \let\rng@CtrlUEP=1\def\rng@UEP{#4}% + \@getVarType{#4}% + \ifcase\varType % integer + \defineR{\rng@UEP}{\rng@UEP\RNG@Dec}% + \or % rational + \rng@dima=\nOf{#4}pt + \divide\rng@dima by\dOf{#4}% + \defineR{\rng@UEP}{\strip@pt\rng@dima}% + \or % real + \defineR{\rng@UEP}{\rng@UEP}% + \fi + \else + \defineR{\rng@UEP}{#4}% + \fi + \fi + \def\@currentName{#2}\@getVarName{#2}% + \expandafter\edef\csname first@\@varName\endcsname{\rng@LEP}% + \expandafter\edef\csname last@\@varName\endcsname{\rng@UEP}% + \rng@getRandomR + \defineR{#2}{\strip@pt\rng@dima}% + \ifx\rangen@round\@empty\else + \RNGround{#2}{#2}{\rangen@round}% + \rng@dima=#2pt\relax + \defineR{#2}{\strip@pt\rng@dima}% + \fi + \ifx\rangen@ne\@empty\else\loopCnt=0\relax + \@whilenum\loopCnt<\maxLoopLimit\do{% + \rng@cnta=1\relax + \@for\ne@@tmp:=\rangen@ne\do{% + \rng@dima=#2pt + \ifdim\rng@dima=\ne@@tmp pt\relax + \multiply\rng@cnta0\relax\else + \multiply\rng@cnta1\relax\fi + }% + \ifnum\rng@cnta=1\relax % all conditions met + \loopCnt=\maxLoopLimit + \else % if \rng@cnta \ne 1, try again + \advance\loopCnt1\relax + \ifnum\loopCnt=\maxLoopLimit + \PackageWarning{rangen}{Not all conditions met + after \maxLoopLimit\space tries}% + \else + \rng@getRandomR + \defineR{#2}{\strip@pt\rng@dima}% + \ifx\rangen@round\@empty\else + \RNGround{#2}{#2}{\rangen@round}% + \rng@dima=#2pt\relax + \defineR{#2}{\strip@pt\rng@dima}% + \fi + \fi + \fi + }% + \fi + \rnd@ProcessRealFormat{#2}% + \def\@currentName{#2}% + \defineR{#2}{#2}% +} +\def\rng@getRandomR{% + \rng@dima=\rng@LEP pt + \rng@dimb=\rng@UEP pt + \advance\rng@dimb-\rng@dima + \rng@chgrand[first=\rng@lcg@first,last=\rng@lcg@last]\rand + \divide\rng@dimb by\RNGpowerOfTen\relax + \rng@dimb=\arabic{rand}\rng@dimb + \advance\rng@dima by\rng@dimb +} +\def\rnd@ProcessRealFormat#1{% + \ifx\rangen@round\@empty + \rng@dima=#1pt\relax + \defineR{#1}{\strip@pt\rng@dima}% + \else + \RNGround{#1}{#1}{\rangen@round}% + \rng@dima=#1pt\relax + \defineR{#1}{\strip@pt\rng@dima}% + \iftrailingzeros + {\RNGparseDec{#1}\count0=\decPls\relax + \advance\count0-\rndnDec\relax + \ifnum\count0>0\relax\xdef#1{% + \rng@intpart\RNG@Dec\rng@fracpart% +\@nameuse{rng@tz\the\count0}}% + \fi}% + \defineR{#1}{#1}% + \fi + \fi +} +\newcommand{\RandomS}[2][1/2]{% + \RNGparseRat{#1}% + \ifnum\rng@num<0\relax + \PackageError{rangen}{A positive numerator is required}% + {The rational number must be between 0 and 1}\fi + \ifnum\rng@denom<0\relax + \PackageError{rangen}{A positive denominator is required}% + {The rational number must be between 0 and 1}\fi + \ifnum\rng@num>\rng@denom\relax + \PackageError{rangen}{The rational must be between 0 and 1}% + {The rational number must be between 0 and 1}\fi + \rng@chgrand[first=1,last=\rng@denom]\rand + \@getVarName{#2}% + \ifnum\value{rand}>\rng@num\relax\def#2{-}% + \rng@makeMinusOneFmtDefns + \def\display@TeXfmt{-}\def\inline@TeXfmt{-}% + \else\def#2{+}\rng@makeOneFmtDefns + \def\display@TeXfmt{}\def\inline@TeXfmt{}\fi + \expandafter\let\csname\@varName*\endcsname\display@TeXfmt + \expandafter\let\csname\@varName!\endcsname\inline@TeXfmt +} +\newcommand{\RandomL}[3][]{% + \let\rangen@index\@empty + \setkeys{rangen}{#1}% + \rng@cnta=0\relax\@for\@@tmp:=#3\do{% + \advance\rng@cnta1\relax}\edef\n@rng@listItems{\the\rng@cnta}% + \ifx\rangen@index\@empty + \rng@chgrand[first=1,last=\n@rng@listItems]\rand + \else + \rng@cnta=\rangen@index + \advance\rng@cnta-1\relax + \amodb{\rng@cnta}{\n@rng@listItems}% + \rng@cnta=\retnmod + \advance\rng@cnta1\relax + \value{rand}=\rng@cnta + \fi + \@getVarName{#2}% + \expandafter\edef\csname i@\@varName\endcsname{\arabic{rand}}% + \rng@cnta=0\relax\@for\@@tmp:=#3\do{% + \advance\rng@cnta1\relax\ifnum\rng@cnta=\arabic{rand}% + \edef\rng@choice{\@@tmp}\fi}% + \def\@currentName{#2}% + \RNGparseDec{\rng@choice}% + \if\rng@parseR@iii\RNG@Dec\defineR{#2}{\rng@choice}% + \else\RNGparseRat{\rng@choice}% + \if\rng@parseQ@iii/\defineQ{#2}{\rng@num}{\rng@denom}% + \else\defineZ{#2}{\rng@choice}\fi\fi +} + +\newcommand{\RandomP}[3][]{% + \let\rangen@index\@empty + \setkeys{rangen}{#1}% + \rng@cnta=0\relax\@for\@@tmp:=#3\do{% + \advance\rng@cnta1\relax}\edef\n@rng@listItems{\the\rng@cnta}% + \ifx\rangen@index\@empty + \rng@chgrand[first=1,last=\n@rng@listItems]\rand + \else + \rng@cnta=\rangen@index + \advance\rng@cnta-1\relax + \amodb{\rng@cnta}{\n@rng@listItems}% + \rng@cnta=\retnmod + \advance\rng@cnta1\relax + \value{rand}=\rng@cnta + \fi + \@getVarName{#2}% + \expandafter\edef\csname i@\@varName\endcsname{\arabic{rand}}% + \rng@cnta=0\relax\@for\@@tmp:=#3\do{% + \advance\rng@cnta1\relax\ifnum\rng@cnta=\arabic{rand}% + \rng@toks=\expandafter{\@@tmp}\edef#2{\the\rng@toks}% + \expandafter\def\csname typeof@\@varName\endcsname{3}\fi}% +} +\newcommand{\RandomI}[2]{% + \rng@chgrand[first=1,last=#2]\rand + \defineZ{#1}{\arabic{rand}}% + \expandafter\edef\csname i@\@varName\endcsname{\arabic{rand}}% +} +\defineZ{\zZero}{0} +\defineZ{\zOne}{1} +\defineZ{\zMinusOne}{-1} +\defineR{\rPI}{3.1415927} +\defineR{\rE}{2.7182818} +\def\syncronizeQs#1{\edef\sync@arg{#1}% + \lcm{\csname d@\sync@arg\endcsname}{\d@cmp@Name}% + \edef\@thelcm{\thelcm}% + \convertRatTo{\n@cmp@Name}{\d@cmp@Name}{\@thelcm}% + \updateQ\cmp@Name{\rng@retn@num}{\@thelcm}% + \convertRatTo{\csname n@\sync@arg\endcsname}% + {\csname d@\sync@arg\endcsname}{\@thelcm}\expandafter + \defineQ\csname\sync@arg\endcsname{\rng@retn@num}{\@thelcm}% +} +\newcommand\ds[1]{% + \expandafter\csname\expandafter\@gobble\string#1*\endcsname +} +\newcommand\eds[1]{% + \expandafter\csname\expandafter\@gobble\string#1*e\endcsname +} +\newcommand\cds[1]{% + \expandafter\csname\expandafter\@gobble\string#1*c\endcsname +} +\newcommand\fmt[1]{% + \expandafter\csname\expandafter\@gobble\string#1!\endcsname +} +\newcommand\efmt[1]{% + \expandafter\csname\expandafter\@gobble\string#1!e\endcsname +} +\newcommand\cfmt[1]{% + \expandafter\csname\expandafter\@gobble\string#1!c\endcsname +} +\newcommand\js[1]{% + \expandafter\csname\expandafter\@gobble\string#1!*\endcsname +} + +\def\RNGround#1#2#3{% + \begingroup + \def\rng@ctrlName{#1}% + \def\rng@sourceName{#2}% + \def\rng@nDecPl{#3}% + \RNGparseDec{#2}% + \ifnum\rndnDec<#3\relax + \xdef\theseDigits{\rng@fracpart}% + \let\rng@next\relax + \else + \count0=0\relax + \gdef\theseDigits{}% + \def\rng@next{\expandafter\@rng@round\rng@fracpart\end}% + \fi + \rng@next + \xdef\decPls{\@ifundefined{save@rng@nDecPl}% + {\rng@nDecPl}{\save@rng@nDecPl}}% + \ifx\theseDigits\@empty + \xdef#1{\rng@intpart}\else + \xdef#1{\rng@intpart\RNG@Dec\theseDigits}\fi + \endgroup +} +\def\@rng@round#1{% + \ifx#1\end\let\rng@next\relax + \else + \ifnum\rng@nDecPl=0\relax + \ifnum#1>4\relax + \count0=\rng@intpart\relax + \ifnum\rng@intpart<0\relax + \advance\count0by-1\relax + \else + \advance\count0by1\relax + \fi + \xdef\rng@intpart{\the\count0}% + \fi + \gdef\theseDigits{}% + \let\rng@next\rng@gobbletoend + \else + \advance\count0by1\relax + \ifnum\count0=\rng@nDecPl\relax + \def\rng@next{\@@rng@round#1}% + \else + \xdef\theseDigits{\theseDigits#1}% + \let\rng@next\@rng@round + \fi + \fi + \fi + \rng@next +} +\def\rng@gobbletoend#1\end{} +\def\@@rng@round#1#2{% + \ifx#2\end% + \xdef\theseDigits{\theseDigits#1}% + \let\rng@next\relax + \else + \ifnum#2>4\relax\count2=#1\relax + \ifnum\count2=9\relax + \count0=\rng@nDecPl\relax + \ifnum\count0=1\relax + \count0=\rng@intpart\relax + \ifnum\rng@intpart<0\relax + \advance\count0by-1\relax + \else + \advance\count0by1\relax + \fi + \xdef\rng@intpart{\the\count0}% + \let\rng@next\rng@gobbletoend + \else + \advance\count0by-1\relax\expandafter + \xdef\rng@sourceName{% + \rng@intpart\RNG@Dec\theseDigits#1}% + \edef\save@rng@nDecPl{\rng@nDecPl}% + \edef\rng@next{\noexpand\RNGround{% + \expandafter\noexpand\rng@ctrlName}% + {\expandafter\noexpand\rng@sourceName}% + {\the\count0}\noexpand\rng@gobbletoend}% + \fi + \else + \advance\count2by1\relax + \xdef\theseDigits{\theseDigits\the\count2}% + \let\rng@next\rng@gobbletoend + \fi + \else % \ifnum#2<=4 + \xdef\theseDigits{\theseDigits#1}% + \let\rng@next\rng@gobbletoend + \fi + \fi + \rng@next +} +\def\RNGprintf#1{("#1",\@gobble} +\newcommand\defineDepQJS[4]{% + \@getVarName#1 + \expandafter\edef\csname\@varName\endcsname{(#2)/(#3)}% + \expandafter\edef\csname n@\@varName\endcsname{(#2)}% + \expandafter\edef\csname d@\@varName\endcsname{(#3)}% + \edef\display@TeXfmt{\csname\@varName\endcsname}% + \edef\inline@TeXfmt{\csname\@varName\endcsname}% + \def\dv@argiv{#4}\ifx\dv@argiv\@empty + \edef\eval@JSfmt{\csname\@varName\endcsname}\else + \edef\eval@JSfmt{#4}\fi + \expandafter\let\csname\@varName!*\endcsname\eval@JSfmt +} +\def\rng@writeCurrentSeed#1{\immediate\write#1{\string\makeatletter + \string\global\string\cr@nd=\the\cr@nd\string\relax + \string\makeatother}} +\newtoks\rng@toks +\def\wrv@ex@solns{exercises}% +\def\wrv@ex@quiz{quizzes}% +\newenvironment{writeRVsTo}[2][] +{% + \def\wrv@argii{#2}% + \ifx\wrv@argii\wrv@ex@quiz\let\wrv@out\quiz@solns + \else\ifx\wrv@argii\wrv@ex@solns\let\wrv@out\ex@solns\else + \let\wrv@out#2\fi\fi + \rng@writeCurrentSeed\wrv@out + \rng@toks={}% + \def\verbatim@processline{% + \xdef\rng@temp{\the\rng@toks\the\verbatim@line}% + \global\rng@toks=\expandafter{\rng@temp}}% + \let\do\@makeother\dospecials\catcode`\^^M\active + #1% + \verbatim@start +}{ \immediate\write\wrv@out{\the\rng@toks}% + \newwrite\rng@writeRVs + \immediate\openout\rng@writeRVs\jobname_rvs.cut + \immediate\write\rng@writeRVs{\the\rng@toks}% + \immediate\closeout\rng@writeRVs + \aftergroup\rng@Input@RVs +} +\def\rng@Input@RVs{\InputIfFileExists{\jobname_rvs.cut}{}{}} +\def\rng@p@stkeysr@nd{% + \@rderr@nd% last < first -> swap + \cutr@nger@nd% range too big -> cut +} % end of \def\p@stkeysr@nd +\def\rng@chgrand{\@ifnextchar[\rng@chgr@nd{\rng@chgr@nd[]}} +\def\rng@chgr@nd[#1]{% + \@tempcnta=\z@ + \@tempcntb=\z@ + \setkeys{Init}{#1}% + \rng@p@stkeysr@nd% + \@utputr@nd% +} % end of \def\rng@chgrand +\begin{insDLJS}[partialExpand]{partial}{Rangen} +var partre = /rEval|rFrac/; +function rngCorrAnsButton() +{ + var theprecision,fieldname,theanswer; + if (arguments.length==3) { + var theformat=arguments[0]; + var fieldname=arguments[1]; + var theanswer=arguments[2]; + } else { + var fieldname=arguments[0]; + var theanswer=arguments[1]; + } + theanswer = partialExpand(0,theanswer); + if (arguments.length==3) + theanswer=util.printf(theformat,eval(theanswer)); + DisplayAnswer(fieldname,theanswer); +} +function partialExpand(level,Ans) +{ + Ans = correctPlusMinus(Ans) + level += 1; +\db console.println("Enter level = " + level +": Ans: " + Ans);\db% + var n=0, m, bP, eP, subExp; + while ( true ) { +\db console.println("Searching a level " + level);\db% + try { m = Ans.match(partre); } + catch (e) { break; } + if ( m != null ) { + bP = m.index + m[0].length; + eP = FindBalP(Ans, bP, true); +\db console.println("bP = " + bP + " : eP = " + eP);\db% + var subExp = Ans.substring(bP+1, eP); +\db console.println("Found \'" + subExp% + + "\' at level = " + level);\db% + // n = beginning of "rEval", + // eP = beginning of balanced parens, + // bP = end of balanced parens + Ans = Ans.substring(0, m.index) + + eval(m[0]+"(level,subExp)") + Ans.substring(eP+1); +\db console.println("level = " + level% + +": New Ans: " + Ans);\db % + } else { + if ( level == 1 ) { +\db console.println("Level 1 break");\db % + break; + } + } + } +\db console.println("Return Ans: " + Ans);\db% + Ans = correctPlusMinus(Ans); + return Ans; +} +function rEval(level, Ans) +{ + level += 1; +\db console.println("Enter rEval: level = "% + + level +": Ans: " + Ans);\db% + var n=0, m, bP, eP, subExp; + while ( true ) + { +\db console.println("Searching a level " + level);\db% + try { m = Ans.match(partre); } + catch (e) { break; } + if ( m != null ) { + bP = m.index + m[0].length; + eP = FindBalP(Ans, bP, true); +\db console.println("bP = " + bP + " : eP = " + eP);\db% + var subExp = Ans.substring(bP+1, eP); +\db console.println("Found \'" + subExp% + + "\' at level = " + level);\db% + // n = beginning of "rEval", + // eP = beginning of balanced parens, + // bP = end of balanced parens + Ans = Ans.substring(0, m.index) + +eval(m[0]+"(level,subExp)")+Ans.substring(eP+1); +\db console.println("level = "% + + level +": New Ans: " + Ans);\db % + } else { + Ans = ParseInput(Ans); +\db console.println("Ready to eval at level = "% + + level + ": Ans = " + Ans);\db% + with(Math) { Ans = eval( Ans ) }; +\db console.println("After eval at level = "% + + level + ": Ans = " + Ans);\db% + break; + } + } +\db console.println("Return Ans: " + Ans);\db% + return Ans; +} +function rFrac(level, Ans) +{ + level += 1; +\db console.println("Enter rFrac level = "% + + level +": Ans: " + Ans);\db% + var n=0, m, bP, eP, subExp; + while ( true ) { +\db console.println("Searching a level " + level);\db% + try { m = Ans.match(partre); } + catch (e) { break; } + if ( m != null ) { + bP = m.index + m[0].length; + eP = FindBalP(Ans, bP, true); +\db console.println("bP = "% + + bP + " : eP = " + eP);\db% + var subExp = Ans.substring(bP+1, eP); +\db console.println("Found \'" + subExp% + + "\' at level = " + level);\db% + // n = beginning of "rEval", + // eP = beginning of balanced parens, + // bP = end of balanced parens + Ans = Ans.substring(0, m.index) + + eval(m[0]+"(level,subExp)") + Ans.substring(eP+1); +\db console.println("level = " + level% + +": New Ans: " + Ans);\db % + } else { + var numDenom = Ans.split("/"); + numDenom[0] = eval(numDenom[0]); + numDenom[1] = eval(numDenom[1]); + var g = gcd(numDenom[0], numDenom[1]); + numDenom[0] /= g; + numDenom[1] /= g; + if ( numDenom[1] == 1) + Ans = numDenom[0]; + else + Ans = numDenom.join("/"); +\db console.println("Reduce: " + numDenom.join("/"));\db% + break; + } + } +\db console.println("Return Ans: " + Ans);\db% + return Ans; +} +function correctPlusMinus(Ans) +{ + Ans = "" + Ans; + Ans = Ans.replace(/\s*([\+-])\s*\1\s*/g, " + "); + Ans = Ans.replace(/\s*\+\s*-\s*/g, " - "); + Ans = Ans.replace(/\s*-\s*\+\s*/g, " - "); + return Ans; +} +function gcd(a,b) +{ + var x = a, y = b, r; + while (true) + { + r = x \% y; + if ( r == 0 ) break; + x = y; + y = r; + } + return Math.abs(y); +} +function lcm (a,b) { return (a*b)/gcd(a,b); } +\end{insDLJS} +\endinput +%% +%% End of file `rangen.sty'. |