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% This material is subject to the LaTeX Project Public License. See
% http://mirrors.ctan.org/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}[2009/07/23 fixed point addition for animate.sty]
%adding two values
\def\@anim@add#1#2#3{\afp@callc\afp@add#1{#2}{#3}+\relax} % #1 := #2+#3
%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%
\PackageError{animfp}{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%
\PackageError{animfp}{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%
\PackageError{animfp}{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%
}
%remove trailing zeros of argument (A. Grahn 2009/06/29)
\def\afp@removetrailingzeros#1\relax{%
{%
\edef\afp@tmp{#1}%
\gdef\afp@reversed{}%
\expandafter\afp@reverse\afp@tmp,\@nil%
\afp@removeleadingzeros\afp@reversed\relax%
\gdef\afp@reversed{}%
\expandafter\afp@reverse\afp@tmp,\@nil%
\global\let\afp@tmp\afp@reversed%
}%
}
\def\afp@reverse#1#2\@nil{% reverse string, used in \afp@removetrailingzeros
\if#1,\else%
\xdef\afp@reversed{#1\afp@reversed}%
\afp@reverse#2\@nil%
\fi%
}%
%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%
\PackageError{animfp}{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%
}%
\afp@removetrailingzeros\afp@tmp\relax% (A. Grahn 2009/06/29)
\let#1\afp@tmp%
}
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