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%%
%% This is file `xintseries.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% xint.dtx (with options: `xintseries')
%%
%% IMPORTANT NOTICE:
%%
%% For the copyright see the source file.
%%
%% Any modified versions of this file must be renamed
%% with new filenames distinct from xintseries.sty.
%%
%% For distribution of the original source see the terms
%% for copying and modification in the file xint.dtx.
%%
%% This generated file may be distributed as long as the
%% original source files, as listed above, are part of the
%% same distribution. (The sources need not necessarily be
%% in the same archive or directory.)
%%----------------------------------------------------------------
%% The xint bundle (version 1.09kb of February 13, 2014)
%% xintseries: Expandable partial sums with xint package
%% Copyright (C) 2013-2014 by Jean-Francois Burnol
%%----------------------------------------------------------------
\begingroup\catcode61\catcode48\catcode32=10\relax%
\catcode13=5 % ^^M
\endlinechar=13 %
\catcode123=1 % {
\catcode125=2 % }
\catcode64=11 % @
\catcode35=6 % #
\catcode44=12 % ,
\catcode45=12 % -
\catcode46=12 % .
\catcode58=12 % :
\def\space { }%
\let\z\endgroup
\expandafter\let\expandafter\x\csname ver@xintseries.sty\endcsname
\expandafter\let\expandafter\w\csname ver@xintfrac.sty\endcsname
\expandafter
\ifx\csname PackageInfo\endcsname\relax
\def\y#1#2{\immediate\write-1{Package #1 Info: #2.}}%
\else
\def\y#1#2{\PackageInfo{#1}{#2}}%
\fi
\expandafter
\ifx\csname numexpr\endcsname\relax
\y{xintseries}{\numexpr not available, aborting input}%
\aftergroup\endinput
\else
\ifx\x\relax % plain-TeX, first loading of xintseries.sty
\ifx\w\relax % but xintfrac.sty not yet loaded.
\y{xintseries}{now issuing \string\input\space xintfrac.sty}%
\def\z{\endgroup\input xintfrac.sty\relax}%
\fi
\else
\def\empty {}%
\ifx\x\empty % LaTeX, first loading,
% variable is initialized, but \ProvidesPackage not yet seen
\ifx\w\relax % xintfrac.sty not yet loaded.
\y{xintseries}{now issuing \string\RequirePackage{xintfrac}}%
\def\z{\endgroup\RequirePackage{xintfrac}}%
\fi
\else
\y{xintseries}{I was already loaded, aborting input}%
\aftergroup\endinput
\fi
\fi
\fi
\z%
\begingroup\catcode61\catcode48\catcode32=10\relax%
\catcode13=5 % ^^M
\endlinechar=13 %
\catcode123=1 % {
\catcode125=2 % }
\catcode64=11 % @
\catcode35=6 % #
\catcode44=12 % ,
\catcode45=12 % -
\catcode46=12 % .
\catcode58=12 % :
\ifdefined\PackageInfo
\def\y#1#2{\PackageInfo{#1}{#2}}%
\else
\def\y#1#2{\immediate\write-1{Package #1 Info: #2.}}%
\fi
\def\empty {}%
\expandafter\let\expandafter\w\csname ver@xintfrac.sty\endcsname
\ifx\w\relax % Plain TeX, user gave a file name at the prompt
\y{xintseries}{Loading of package xintfrac failed, aborting input}%
\aftergroup\endinput
\fi
\ifx\w\empty % LaTeX, user gave a file name at the prompt
\y{xintseries}{Loading of package xintfrac failed, aborting input}%
\aftergroup\endinput
\fi
\endgroup%
\XINTsetupcatcodes%
\XINT_providespackage
\ProvidesPackage{xintseries}%
[2014/02/13 v1.09kb Expandable partial sums with xint package (jfB)]%
\def\xintSeries {\romannumeral0\xintseries }%
\def\xintseries #1#2%
{%
\expandafter\XINT_series\expandafter
{\the\numexpr #1\expandafter}\expandafter{\the\numexpr #2}%
}%
\def\XINT_series #1#2#3%
{%
\ifnum #2<#1
\xint_afterfi { 0/1[0]}%
\else
\xint_afterfi {\XINT_series_loop {#1}{0}{#2}{#3}}%
\fi
}%
\def\XINT_series_loop #1#2#3#4%
{%
\ifnum #3>#1 \else \XINT_series_exit \fi
\expandafter\XINT_series_loop\expandafter
{\the\numexpr #1+1\expandafter }\expandafter
{\romannumeral0\xintadd {#2}{#4{#1}}}%
{#3}{#4}%
}%
\def\XINT_series_exit \fi #1#2#3#4#5#6#7#8%
{%
\fi\xint_gobble_ii #6%
}%
\def\xintiSeries {\romannumeral0\xintiseries }%
\def\xintiseries #1#2%
{%
\expandafter\XINT_iseries\expandafter
{\the\numexpr #1\expandafter}\expandafter{\the\numexpr #2}%
}%
\def\XINT_iseries #1#2#3%
{%
\ifnum #2<#1
\xint_afterfi { 0}%
\else
\xint_afterfi {\XINT_iseries_loop {#1}{0}{#2}{#3}}%
\fi
}%
\def\XINT_iseries_loop #1#2#3#4%
{%
\ifnum #3>#1 \else \XINT_iseries_exit \fi
\expandafter\XINT_iseries_loop\expandafter
{\the\numexpr #1+1\expandafter }\expandafter
{\romannumeral0\xintiiadd {#2}{#4{#1}}}%
{#3}{#4}%
}%
\def\XINT_iseries_exit \fi #1#2#3#4#5#6#7#8%
{%
\fi\xint_gobble_ii #6%
}%
\def\xintPowerSeries {\romannumeral0\xintpowerseries }%
\def\xintpowerseries #1#2%
{%
\expandafter\XINT_powseries\expandafter
{\the\numexpr #1\expandafter}\expandafter{\the\numexpr #2}%
}%
\def\XINT_powseries #1#2#3#4%
{%
\ifnum #2<#1
\xint_afterfi { 0/1[0]}%
\else
\xint_afterfi
{\XINT_powseries_loop_i {#3{#2}}{#1}{#2}{#3}{#4}}%
\fi
}%
\def\XINT_powseries_loop_i #1#2#3#4#5%
{%
\ifnum #3>#2 \else\XINT_powseries_exit_i\fi
\expandafter\XINT_powseries_loop_ii\expandafter
{\the\numexpr #3-1\expandafter}\expandafter
{\romannumeral0\xintmul {#1}{#5}}{#2}{#4}{#5}%
}%
\def\XINT_powseries_loop_ii #1#2#3#4%
{%
\expandafter\XINT_powseries_loop_i\expandafter
{\romannumeral0\xintadd {#4{#1}}{#2}}{#3}{#1}{#4}%
}%
\def\XINT_powseries_exit_i\fi #1#2#3#4#5#6#7#8#9%
{%
\fi \XINT_powseries_exit_ii #6{#7}%
}%
\def\XINT_powseries_exit_ii #1#2#3#4#5#6%
{%
\xintmul{\xintPow {#5}{#6}}{#4}%
}%
\def\xintPowerSeriesX {\romannumeral0\xintpowerseriesx }%
\def\xintpowerseriesx #1#2%
{%
\expandafter\XINT_powseriesx\expandafter
{\the\numexpr #1\expandafter}\expandafter{\the\numexpr #2}%
}%
\def\XINT_powseriesx #1#2#3#4%
{%
\ifnum #2<#1
\xint_afterfi { 0/1[0]}%
\else
\xint_afterfi
{\expandafter\XINT_powseriesx_pre\expandafter
{\romannumeral-`0#4}{#1}{#2}{#3}%
}%
\fi
}%
\def\XINT_powseriesx_pre #1#2#3#4%
{%
\XINT_powseries_loop_i {#4{#3}}{#2}{#3}{#4}{#1}%
}%
\def\xintRationalSeries {\romannumeral0\xintratseries }%
\def\xintratseries #1#2%
{%
\expandafter\XINT_ratseries\expandafter
{\the\numexpr #1\expandafter}\expandafter{\the\numexpr #2}%
}%
\def\XINT_ratseries #1#2#3#4%
{%
\ifnum #2<#1
\xint_afterfi { 0/1[0]}%
\else
\xint_afterfi
{\XINT_ratseries_loop {#2}{1}{#1}{#4}{#3}}%
\fi
}%
\def\XINT_ratseries_loop #1#2#3#4%
{%
\ifnum #1>#3 \else\XINT_ratseries_exit_i\fi
\expandafter\XINT_ratseries_loop\expandafter
{\the\numexpr #1-1\expandafter}\expandafter
{\romannumeral0\xintadd {1}{\xintMul {#2}{#4{#1}}}}{#3}{#4}%
}%
\def\XINT_ratseries_exit_i\fi #1#2#3#4#5#6#7#8%
{%
\fi \XINT_ratseries_exit_ii #6%
}%
\def\XINT_ratseries_exit_ii #1#2#3#4#5%
{%
\XINT_ratseries_exit_iii #5%
}%
\def\XINT_ratseries_exit_iii #1#2#3#4%
{%
\xintmul{#2}{#4}%
}%
\def\xintRationalSeriesX {\romannumeral0\xintratseriesx }%
\def\xintratseriesx #1#2%
{%
\expandafter\XINT_ratseriesx\expandafter
{\the\numexpr #1\expandafter}\expandafter{\the\numexpr #2}%
}%
\def\XINT_ratseriesx #1#2#3#4#5%
{%
\ifnum #2<#1
\xint_afterfi { 0/1[0]}%
\else
\xint_afterfi
{\expandafter\XINT_ratseriesx_pre\expandafter
{\romannumeral-`0#5}{#2}{#1}{#4}{#3}%
}%
\fi
}%
\def\XINT_ratseriesx_pre #1#2#3#4#5%
{%
\XINT_ratseries_loop {#2}{1}{#3}{#4{#1}}{#5{#1}}%
}%
\def\xintFxPtPowerSeries {\romannumeral0\xintfxptpowerseries }%
\def\xintfxptpowerseries #1#2%
{%
\expandafter\XINT_fppowseries\expandafter
{\the\numexpr #1\expandafter}\expandafter{\the\numexpr #2}%
}%
\def\XINT_fppowseries #1#2#3#4#5%
{%
\ifnum #2<#1
\xint_afterfi { 0}%
\else
\xint_afterfi
{\expandafter\XINT_fppowseries_loop_pre\expandafter
{\romannumeral0\xinttrunc {#5}{\xintPow {#4}{#1}}}%
{#1}{#4}{#2}{#3}{#5}%
}%
\fi
}%
\def\XINT_fppowseries_loop_pre #1#2#3#4#5#6%
{%
\ifnum #4>#2 \else\XINT_fppowseries_dont_i \fi
\expandafter\XINT_fppowseries_loop_i\expandafter
{\the\numexpr #2+\xint_c_i\expandafter}\expandafter
{\romannumeral0\xintitrunc {#6}{\xintMul {#5{#2}}{#1}}}%
{#1}{#3}{#4}{#5}{#6}%
}%
\def\XINT_fppowseries_dont_i \fi\expandafter\XINT_fppowseries_loop_i
{\fi \expandafter\XINT_fppowseries_dont_ii }%
\def\XINT_fppowseries_dont_ii #1#2#3#4#5#6#7{\xinttrunc {#7}{#2[-#7]}}%
\def\XINT_fppowseries_loop_i #1#2#3#4#5#6#7%
{%
\ifnum #5>#1 \else \XINT_fppowseries_exit_i \fi
\expandafter\XINT_fppowseries_loop_ii\expandafter
{\romannumeral0\xinttrunc {#7}{\xintMul {#3}{#4}}}%
{#1}{#4}{#2}{#5}{#6}{#7}%
}%
\def\XINT_fppowseries_loop_ii #1#2#3#4#5#6#7%
{%
\expandafter\XINT_fppowseries_loop_i\expandafter
{\the\numexpr #2+\xint_c_i\expandafter}\expandafter
{\romannumeral0\xintiiadd {#4}{\xintiTrunc {#7}{\xintMul {#6{#2}}{#1}}}}%
{#1}{#3}{#5}{#6}{#7}%
}%
\def\XINT_fppowseries_exit_i\fi\expandafter\XINT_fppowseries_loop_ii
{\fi \expandafter\XINT_fppowseries_exit_ii }%
\def\XINT_fppowseries_exit_ii #1#2#3#4#5#6#7%
{%
\xinttrunc {#7}
{\xintiiadd {#4}{\xintiTrunc {#7}{\xintMul {#6{#2}}{#1}}}[-#7]}%
}%
\def\xintFxPtPowerSeriesX {\romannumeral0\xintfxptpowerseriesx }%
\def\xintfxptpowerseriesx #1#2%
{%
\expandafter\XINT_fppowseriesx\expandafter
{\the\numexpr #1\expandafter}\expandafter{\the\numexpr #2}%
}%
\def\XINT_fppowseriesx #1#2#3#4#5%
{%
\ifnum #2<#1
\xint_afterfi { 0}%
\else
\xint_afterfi
{\expandafter \XINT_fppowseriesx_pre \expandafter
{\romannumeral-`0#4}{#1}{#2}{#3}{#5}%
}%
\fi
}%
\def\XINT_fppowseriesx_pre #1#2#3#4#5%
{%
\expandafter\XINT_fppowseries_loop_pre\expandafter
{\romannumeral0\xinttrunc {#5}{\xintPow {#1}{#2}}}%
{#2}{#1}{#3}{#4}{#5}%
}%
\def\xintFloatPowerSeries {\romannumeral0\xintfloatpowerseries }%
\def\xintfloatpowerseries #1{\XINT_flpowseries_chkopt #1\Z }%
\def\XINT_flpowseries_chkopt #1%
{%
\ifx [#1\expandafter\XINT_flpowseries_opt
\else\expandafter\XINT_flpowseries_noopt
\fi
#1%
}%
\def\XINT_flpowseries_noopt #1\Z #2%
{%
\expandafter\XINT_flpowseries\expandafter
{\the\numexpr #1\expandafter}\expandafter
{\the\numexpr #2}\XINTdigits
}%
\def\XINT_flpowseries_opt [\Z #1]#2#3%
{%
\expandafter\XINT_flpowseries\expandafter
{\the\numexpr #2\expandafter}\expandafter
{\the\numexpr #3\expandafter}{\the\numexpr #1}%
}%
\def\XINT_flpowseries #1#2#3#4#5%
{%
\ifnum #2<#1
\xint_afterfi { 0.e0}%
\else
\xint_afterfi
{\expandafter\XINT_flpowseries_loop_pre\expandafter
{\romannumeral0\XINTinfloatpow [#3]{#5}{#1}}%
{#1}{#5}{#2}{#4}{#3}%
}%
\fi
}%
\def\XINT_flpowseries_loop_pre #1#2#3#4#5#6%
{%
\ifnum #4>#2 \else\XINT_flpowseries_dont_i \fi
\expandafter\XINT_flpowseries_loop_i\expandafter
{\the\numexpr #2+\xint_c_i\expandafter}\expandafter
{\romannumeral0\XINTinfloatmul [#6]{#5{#2}}{#1}}%
{#1}{#3}{#4}{#5}{#6}%
}%
\def\XINT_flpowseries_dont_i \fi\expandafter\XINT_flpowseries_loop_i
{\fi \expandafter\XINT_flpowseries_dont_ii }%
\def\XINT_flpowseries_dont_ii #1#2#3#4#5#6#7{\xintfloat [#7]{#2}}%
\def\XINT_flpowseries_loop_i #1#2#3#4#5#6#7%
{%
\ifnum #5>#1 \else \XINT_flpowseries_exit_i \fi
\expandafter\XINT_flpowseries_loop_ii\expandafter
{\romannumeral0\XINTinfloatmul [#7]{#3}{#4}}%
{#1}{#4}{#2}{#5}{#6}{#7}%
}%
\def\XINT_flpowseries_loop_ii #1#2#3#4#5#6#7%
{%
\expandafter\XINT_flpowseries_loop_i\expandafter
{\the\numexpr #2+\xint_c_i\expandafter}\expandafter
{\romannumeral0\XINTinfloatadd [#7]{#4}%
{\XINTinfloatmul [#7]{#6{#2}}{#1}}}%
{#1}{#3}{#5}{#6}{#7}%
}%
\def\XINT_flpowseries_exit_i\fi\expandafter\XINT_flpowseries_loop_ii
{\fi \expandafter\XINT_flpowseries_exit_ii }%
\def\XINT_flpowseries_exit_ii #1#2#3#4#5#6#7%
{%
\xintfloatadd [#7]{#4}{\XINTinfloatmul [#7]{#6{#2}}{#1}}%
}%
\def\xintFloatPowerSeriesX {\romannumeral0\xintfloatpowerseriesx }%
\def\xintfloatpowerseriesx #1{\XINT_flpowseriesx_chkopt #1\Z }%
\def\XINT_flpowseriesx_chkopt #1%
{%
\ifx [#1\expandafter\XINT_flpowseriesx_opt
\else\expandafter\XINT_flpowseriesx_noopt
\fi
#1%
}%
\def\XINT_flpowseriesx_noopt #1\Z #2%
{%
\expandafter\XINT_flpowseriesx\expandafter
{\the\numexpr #1\expandafter}\expandafter
{\the\numexpr #2}\XINTdigits
}%
\def\XINT_flpowseriesx_opt [\Z #1]#2#3%
{%
\expandafter\XINT_flpowseriesx\expandafter
{\the\numexpr #2\expandafter}\expandafter
{\the\numexpr #3\expandafter}{\the\numexpr #1}%
}%
\def\XINT_flpowseriesx #1#2#3#4#5%
{%
\ifnum #2<#1
\xint_afterfi { 0.e0}%
\else
\xint_afterfi
{\expandafter \XINT_flpowseriesx_pre \expandafter
{\romannumeral-`0#5}{#1}{#2}{#4}{#3}%
}%
\fi
}%
\def\XINT_flpowseriesx_pre #1#2#3#4#5%
{%
\expandafter\XINT_flpowseries_loop_pre\expandafter
{\romannumeral0\XINTinfloatpow [#5]{#1}{#2}}%
{#2}{#1}{#3}{#4}{#5}%
}%
\XINT_restorecatcodes_endinput%
\endinput
%%
%% End of file `xintseries.sty'.
|
