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authorKarl Berry <karl@freefriends.org>2008-07-14 22:18:15 +0000
committerKarl Berry <karl@freefriends.org>2008-07-14 22:18:15 +0000
commit3dbde31e7c26ef198ab0939714f3a513049a9afb (patch)
tree19b19d1a22f5bf28ba6f7894836f5e173dbc3fc2 /Master/texmf-dist/tex/latex/animate/animfp.sty
parent23c7f66c5212d122c76342854f2fe85653365a75 (diff)
animate update (14jul08)
git-svn-id: svn://tug.org/texlive/trunk@9558 c570f23f-e606-0410-a88d-b1316a301751
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+% This material is subject to the LaTeX Project Public License. See
+% http://www.ctan.org/tex-archive/help/Catalogue/licenses.lppl.html
+% for the details of that license.
+
+% This package is loaded by animate.sty. It defines \@anim@add for fixed point
+% addition
+
+% Copyright notice:
+% The code relavant to fixed point addition was taken with virtually no
+% modification from Michael Mehlich's fp-basic[1996/05/13] package
+
+% Copyright 2008 Alexander Grahn
+
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{animfp}[2008/07/14]
+
+%adding two values
+\def\@anim@add#1#2#3{\afp@callc\afp@add#1{#2}{#3}+\relax} % #1 := #2+#3
+
+\def\afp@errmessage#1{\errmessage{FP error: #1!}}
+
+%allocation of registers
+\newcount\afp@xs %sign of 1st value
+\newcount\afp@xia%integer part of 1st value
+\newcount\afp@xib%integer part of 1st value
+\newcount\afp@xfa%fractional part of 1st value
+\newcount\afp@xfb%fractional part of 1st value
+\countdef\afp@ys=5 %sign of 2nd value
+\countdef\afp@yia=6%integer part of 2nd value
+\countdef\afp@yib=7%integer part of 2nd value
+\countdef\afp@yfa=8%fractional part of 2nd value
+\countdef\afp@yfb=9%fractional part of 2nd value
+
+\newcount\afp@rega %auxiliary registers
+\newcount\afp@regb
+\countdef\afp@regc=36
+
+\newcount\afp@regs %local auxiliary registers
+\countdef\afp@count=45
+
+%auxiliary macros which may be used in all of the following macros
+\def\afp@ignorenext#1{}
+\def\afp@first#1#2\relax{#1}
+\def\afp@swallow#1\relax{}
+
+\def\ifafp@zero#1{%
+ \ifnum%
+ \expandafter\ifnum\csname afp@#1ia\endcsname=0 0\else1\fi%
+ \expandafter\ifnum\csname afp@#1ib\endcsname=0 0\else1\fi%
+ \expandafter\ifnum\csname afp@#1fa\endcsname=0 0\else1\fi%
+ \expandafter\ifnum\csname afp@#1fb\endcsname=0 0\else1\fi%
+ =0\relax%
+}
+
+%read value
+\def\afp@correctintcounter#1\relax{%
+ {\edef\afp@tmp{#1}%
+ \afp@count=0\relax%
+ \loop%
+ \edef\afp@tmpa{\expandafter\afp@first\afp@tmp\noexpand\relax}%
+ \expandafter\ifx\afp@tmpa0\relax%
+ \advance\afp@count1\relax%
+ \edef\afp@tmp{\expandafter\afp@ignorenext\afp@tmp}%
+ \repeat%
+ \ifnum\afp@count>18\relax%
+ \afp@errmessage{Overflow}%
+ \fi%
+ \expandafter\if!\afp@tmp!%
+ \advance\afp@count-18\relax%
+ \afp@count=-\afp@count%
+ \loop%
+ \ifnum\afp@count>0\relax%
+ \afp@regc=\afp@rega%
+ \divide\afp@rega10\relax\multiply\afp@rega10\relax%
+ \advance\afp@regc-\afp@rega\multiply\afp@regc100000000\relax%
+ \divide\afp@rega10\relax%
+ \divide\afp@regb10\relax\advance\afp@regb\afp@regc%
+ \advance\afp@count-1\relax%
+ \repeat%
+ \global\afp@rega=\afp@rega%
+ \global\afp@regb=\afp@regb%
+ \else%
+ \afp@errmessage{Number too big}%
+ \fi%
+ }%
+}
+\def\afp@@setintcounter#1#2#3#4#5#6#7#8#9{%
+ \afp@regb=#1#2#3#4#5#6#7#8#9\relax%
+ \afp@correctintcounter%
+}
+\def\afp@setintcounter#1#2#3#4#5#6#7#8#9{%
+ \afp@rega=#1#2#3#4#5#6#7#8#9\relax%
+ \afp@@setintcounter%
+}
+
+\def\afp@@setfractcounter#1#2#3#4#5#6#7#8#9{%
+ \afp@regb=#1#2#3#4#5#6#7#8#9\relax%
+ \afp@swallow%
+}
+\def\afp@setfractcounter#1#2#3#4#5#6#7#8#9{%
+ \afp@rega=#1#2#3#4#5#6#7#8#9\relax%
+ \afp@@setfractcounter%
+}
+
+\def\afp@getsign#1\relax{%
+ {\afp@regs=1\relax%
+ \edef\afp@tmp{#1}%
+ \loop%
+ \edef\afp@tmpa{\expandafter\afp@first\afp@tmp\noexpand\relax}%
+ \expandafter\ifx\afp@tmpa-\relax%
+ \multiply\afp@regs-1\relax%
+ \fi%
+ \ifnum\expandafter\ifx\afp@tmpa-1\else0\fi\expandafter\ifx\afp@tmpa+1\else0\fi>0%
+ \edef\afp@tmp{\expandafter\afp@ignorenext\afp@tmp}%
+ \repeat%
+ \global\let\afp@tmp\afp@tmp%
+ \global\afp@regs=\afp@regs%
+ }%
+}
+
+\def\afp@removeleadingzeros#1\relax{%
+ {\edef\afp@tmp{#1}%
+ \loop%
+ \edef\afp@tmpa{\expandafter\afp@first\afp@tmp\noexpand\relax}%
+ \expandafter\ifx\afp@tmpa0\relax%
+ \edef\afp@tmp{\expandafter\afp@ignorenext\afp@tmp}%
+ \repeat%
+ \global\let\afp@tmp\afp@tmp%
+ }%
+}
+
+\newif\ifafp@nonstop
+\def\afp@strip#1{%
+ {\edef\afp@tmp{#1}%
+ \edef\afp@tmpb{}%
+ \ifx\afp@tmp\@empty\else%
+ \afp@nonstoptrue%
+ \loop%
+ \edef\afp@tmpa{\expandafter\afp@first\afp@tmp\noexpand\relax}%
+ \expandafter\ifx\afp@tmpa-\relax\edef\afp@tmpb{\afp@tmpb\afp@tmpa}\else%
+ \expandafter\ifx\afp@tmpa+\relax\edef\afp@tmpb{\afp@tmpb\afp@tmpa}\else%
+ \expandafter\ifx\afp@tmpa0\relax\edef\afp@tmpb{\afp@tmpb\afp@tmpa}\else%
+ \expandafter\ifx\afp@tmpa1\relax\edef\afp@tmpb{\afp@tmpb\afp@tmpa}\else%
+ \expandafter\ifx\afp@tmpa2\relax\edef\afp@tmpb{\afp@tmpb\afp@tmpa}\else%
+ \expandafter\ifx\afp@tmpa3\relax\edef\afp@tmpb{\afp@tmpb\afp@tmpa}\else%
+ \expandafter\ifx\afp@tmpa4\relax\edef\afp@tmpb{\afp@tmpb\afp@tmpa}\else%
+ \expandafter\ifx\afp@tmpa5\relax\edef\afp@tmpb{\afp@tmpb\afp@tmpa}\else%
+ \expandafter\ifx\afp@tmpa6\relax\edef\afp@tmpb{\afp@tmpb\afp@tmpa}\else%
+ \expandafter\ifx\afp@tmpa7\relax\edef\afp@tmpb{\afp@tmpb\afp@tmpa}\else%
+ \expandafter\ifx\afp@tmpa8\relax\edef\afp@tmpb{\afp@tmpb\afp@tmpa}\else%
+ \expandafter\ifx\afp@tmpa9\relax\edef\afp@tmpb{\afp@tmpb\afp@tmpa}\else%
+ \ifx\afp@tmpa\@empty\afp@nonstopfalse\else%
+ \ifx\afp@tmpa\space\afp@nonstopfalse\else%
+ \afp@errmessage{Illegal character \afp@tmpa\space found in float number}%
+ \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi%
+ \edef\afp@tmp{\expandafter\afp@ignorenext\afp@tmp}%
+ \ifx\afp@tmp\@empty\afp@nonstopfalse\fi%
+ \ifafp@nonstop%
+ \repeat%
+ \fi%
+ \global\let\afp@tmp\afp@tmpb%
+ }%
+}
+
+\def\afp@readvalue#1#2#3{%
+ % #1 macro family to catch the value
+ % #2.#3 value
+ %
+ % regular expression [+|-]*[d]_0^18.[d]*
+ %
+ \afp@strip{#2}%
+ %sign
+ \expandafter\afp@getsign\afp@tmp\relax%
+ \csname afp@#1s\endcsname=\afp@regs%
+ %
+ %integer part
+ \afp@removeleadingzeros\afp@tmp\relax%
+ \expandafter\afp@setintcounter\afp@tmp000000000000000000\relax%
+ \csname afp@#1ia\endcsname=\afp@rega%
+ \csname afp@#1ib\endcsname=\afp@regb%
+ %
+ %fractional part
+ \afp@strip{#3}%
+ \expandafter\afp@setfractcounter\afp@tmp000000000000000000\relax%
+ \csname afp@#1fa\endcsname=\afp@rega%
+ \csname afp@#1fb\endcsname=\afp@regb%
+ %
+ %correct sign
+ \ifnum\afp@rega=0\relax%
+ \ifnum\afp@regb=0\relax%
+ \expandafter\ifnum\csname afp@#1ib\endcsname=0\relax%
+ \expandafter\ifnum\csname afp@#1ia\endcsname=0\relax%
+ \csname afp@#1s\endcsname=1\relax%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+}
+
+%store value in macro
+\def\afp@store#1#2{%
+ % #1 macro
+ % #2 macro family (value) to store
+ %
+ \ifafp@zero{#2}%
+ \csname afp@#2s\endcsname=1\relax%
+ \fi%
+ \expandafter\ifnum\csname afp@#2s\endcsname<0\relax%
+ \edef#1{-}%
+ \else%
+ \edef#1{}%
+ \fi%
+ \expandafter\ifnum\csname afp@#2ia\endcsname=0\relax%
+ \expandafter\ifnum\csname afp@#2ib\endcsname=0\relax%
+ \edef#1{#10}%
+ \else%
+ \edef#1{#1\expandafter\the\csname afp@#2ib\endcsname}%
+ \fi%
+ \else%
+ \expandafter\advance\csname afp@#2ib\endcsname1000000000\relax%
+ \edef#1{#1\expandafter\the\csname afp@#2ia\endcsname\expandafter\afp@ignorenext\the\csname afp@#2ib\endcsname}%
+ \fi%
+ \expandafter\advance\csname afp@#2fa\endcsname1000000000\relax%
+ \expandafter\advance\csname afp@#2fb\endcsname1000000000\relax%
+ \edef#1{#1\noexpand.\expandafter\afp@ignorenext\the\csname afp@#2fa\endcsname\expandafter\afp@ignorenext\the\csname afp@#2fb\endcsname}%
+}
+
+%macros to expand some arguments
+\def\afp@callc#1#2#3#4{%
+ % #1 macro to call
+ % #2 macro, which gets the result
+ % #3 1st value
+ % #4 2nd value
+ % expand the values and split them into the integer and the fractional parts
+ \edef\next{\noexpand#1\noexpand#2#3..\noexpand\relax#4..\noexpand\relax}%
+ \next%
+}
+
+%add two values
+\def\afp@add#1#2.#3.#4\relax#5.#6.#7\relax#8\relax{%
+ % #1 macro, which gets the result
+ % #2 integer part of 1st value
+ % #3 fractional part of 1st value
+ % #4 dummy to swallow everthing after the 2nd '.'
+ % #5 integer part of 2nd value
+ % #6 fractional part of 2nd value
+ % #7 dummy to swallow everthing after the 2nd '.'
+ %
+ {%
+ \afp@readvalue{x}{#2}{#3}%
+ \afp@readvalue{y}{#5}{#6}%
+ %
+ \ifnum\afp@xs=\afp@ys%
+ \advance\afp@xfb\afp@yfb%
+ \advance\afp@xfa\afp@yfa%
+ \ifnum\afp@xfb<1000000000\relax\else%
+ \advance\afp@xfb-1000000000\relax%
+ \advance\afp@xfa1\relax%
+ \fi%
+ \advance\afp@xib\afp@yib%
+ \ifnum\afp@xfa<1000000000\relax\else%
+ \advance\afp@xfa-1000000000\relax%
+ \advance\afp@xib1\relax%
+ \fi%
+ \advance\afp@xia\afp@yia%
+ \ifnum\afp@xib<1000000000\relax\else%
+ \advance\afp@xib-1000000000\relax%
+ \advance\afp@xia1\relax%
+ \fi%
+ \ifnum\afp@xia<1000000000\relax\else%
+ \afp@errmessage{Overflow}%
+ \fi%
+ \afp@store\afp@tmp{x}%
+ \else%
+ \advance\afp@xfb-\afp@yfb%
+ \ifnum\afp@xfb<0\relax%
+ \advance\afp@yfa1\relax%
+ \advance\afp@xfb1000000000\relax%
+ \fi%
+ \advance\afp@xfa-\afp@yfa%
+ \ifnum\afp@xfa<0\relax%
+ \advance\afp@yib1\relax%
+ \advance\afp@xfa1000000000\relax%
+ \fi%
+ \advance\afp@xib-\afp@yib%
+ \ifnum\afp@xib<0\relax%
+ \advance\afp@yia1\relax%
+ \advance\afp@xib1000000000\relax%
+ \fi%
+ \advance\afp@xia-\afp@yia%
+ \ifnum\afp@xia<0\relax%
+ \afp@xs=-\afp@xs%
+ \ifnum\afp@xfb=0\relax\else%
+ \advance\afp@xfb-1000000000\relax\afp@xfb=-\afp@xfb%
+ \advance\afp@xfa1\relax%
+ \fi%
+ \ifnum\afp@xfa=0\relax\else%
+ \advance\afp@xfa-1000000000\relax\afp@xfa=-\afp@xfa%
+ \advance\afp@xib1\relax%
+ \fi%
+ \ifnum\afp@xib=0\relax\else%
+ \advance\afp@xib-1000000000\relax\afp@xib=-\afp@xib%
+ \advance\afp@xia1\relax%
+ \fi%
+ \relax\afp@xia=-\afp@xia%
+ \fi%
+ \afp@store\afp@tmp{x}%
+ \fi%
+ %
+ \global\let\afp@tmp\afp@tmp%
+ }%
+ \let#1\afp@tmp%
+}