%% %% This is file `xint.sty', %% generated with the docstrip utility. %% %% The original source files were: %% %% xint.dtx (with options: `xint') %% %% IMPORTANT NOTICE: %% %% For the copyright see the source file. %% %% Any modified versions of this file must be renamed %% with new filenames distinct from xint.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 1.09n of April 1st, 2014) %% xint: Expandable operations on long numbers %% 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@xint.sty\endcsname \expandafter\let\expandafter\w\csname ver@xinttools.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{xint}{\numexpr not available, aborting input}% \aftergroup\endinput \else \ifx\x\relax % plain-TeX, first loading of xint.sty \ifx\w\relax % but xinttools.sty not yet loaded. \y{xint}{now issuing \string\input\space xinttools.sty}% \def\z{\endgroup\input xinttools.sty\relax}% \fi \else \def\empty {}% \ifx\x\empty % LaTeX, first loading, % variable is initialized, but \ProvidesPackage not yet seen \ifx\w\relax % xinttools.sty not yet loaded. \y{xint}{now issuing \string\RequirePackage{xinttools}}% \def\z{\endgroup\RequirePackage{xinttools}}% \fi \else \y{xint}{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@xinttools.sty\endcsname \ifx\w\relax % Plain TeX, user gave a file name at the prompt \y{xint}{Loading of package xinttools failed, aborting input}% \aftergroup\endinput \fi \ifx\w\empty % LaTeX, user gave a file name at the prompt \y{xint}{Loading of package xinttools failed, aborting input}% \aftergroup\endinput \fi \endgroup% \XINTsetupcatcodes% \XINT_providespackage \ProvidesPackage{xint}% [2014/04/01 v1.09n Expandable operations on long numbers (jfB)]% \long\def\xint_firstofthree #1#2#3{#1}% \long\def\xint_secondofthree #1#2#3{#2}% \long\def\xint_thirdofthree #1#2#3{#3}% \long\def\xint_firstofthree_thenstop #1#2#3{ #1}% 1.09i \long\def\xint_secondofthree_thenstop #1#2#3{ #2}% \long\def\xint_thirdofthree_thenstop #1#2#3{ #3}% \def\xint_gob_til_zeros_iii #1000{}% \def\xint_gob_til_zeros_iv #10000{}% \def\xint_gob_til_one #11{}% \def\xint_gob_til_G #1G{}% \def\xint_gob_til_minus #1-{}% \def\xint_gob_til_relax #1\relax {}% \def\xint_exchangetwo_keepbraces #1#2{{#2}{#1}}% \def\xint_exchangetwo_keepbraces_thenstop #1#2{ {#2}{#1}}% \def\xint_UDzerofork #10#2#3\krof {#2}% \def\xint_UDsignfork #1-#2#3\krof {#2}% \def\xint_UDwfork #1\W#2#3\krof {#2}% \def\xint_UDzerosfork #100#2#3\krof {#2}% \def\xint_UDonezerofork #110#2#3\krof {#2}% \def\xint_UDsignsfork #1--#2#3\krof {#2}% \chardef\xint_c_ix 9 \chardef\xint_c_x 10 \chardef\xint_c_ii^v 32 % not used in xint, common to xintfrac and xintbinhex \chardef\xint_c_ii^vi 64 \mathchardef\xint_c_ixixixix 9999 \mathchardef\xint_c_x^iv 10000 \newcount\xint_c_x^viii \xint_c_x^viii 100000000 \def\xintRev {\romannumeral0\xintrev }% \def\xintrev #1% {% \expandafter\XINT_rev_fork \romannumeral-`0#1\xint_relax % empty #1 ok, \xint_relax stops expansion \xint_bye\xint_bye\xint_bye\xint_bye \xint_bye\xint_bye\xint_bye\xint_bye \xint_relax }% \def\XINT_rev_fork #1% {% \xint_UDsignfork #1{\expandafter\xint_minus_thenstop\romannumeral0\XINT_rord_main {}}% -{\XINT_rord_main {}#1}% \krof }% \def\xintLen {\romannumeral0\xintlen }% \def\xintlen #1% {% \expandafter\XINT_len_fork \romannumeral0\xintnum{#1}\xint_relax\xint_relax\xint_relax\xint_relax \xint_relax\xint_relax\xint_relax\xint_relax\xint_bye }% \def\XINT_Len #1% variant which does not expand via \xintnum. {% \romannumeral0\XINT_len_fork #1\xint_relax\xint_relax\xint_relax\xint_relax \xint_relax\xint_relax\xint_relax\xint_relax\xint_bye }% \def\XINT_len_fork #1% {% \expandafter\XINT_length_loop \xint_UDsignfork #1{0.}% -{0.#1}% \krof }% \def\XINT_RQ #1#2#3#4#5#6#7#8#9% {% \xint_gob_til_R #9\XINT_RQ_end_a\R\XINT_RQ {#9#8#7#6#5#4#3#2#1}% }% \def\XINT_RQ_end_a\R\XINT_RQ #1#2\Z {% \XINT_RQ_end_b #1\Z }% \def\XINT_RQ_end_b #1#2#3#4#5#6#7#8% {% \xint_gob_til_R #8\XINT_RQ_end_viii #7\XINT_RQ_end_vii #6\XINT_RQ_end_vi #5\XINT_RQ_end_v #4\XINT_RQ_end_iv #3\XINT_RQ_end_iii #2\XINT_RQ_end_ii \R\XINT_RQ_end_i \Z #2#3#4#5#6#7#8% }% \def\XINT_RQ_end_viii #1\Z #2#3#4#5#6#7#8#9\Z { #9}% \def\XINT_RQ_end_vii #1\Z #2#3#4#5#6#7#8#9\Z { #8#9000}% \def\XINT_RQ_end_vi #1\Z #2#3#4#5#6#7#8#9\Z { #7#8#900}% \def\XINT_RQ_end_v #1\Z #2#3#4#5#6#7#8#9\Z { #6#7#8#90}% \def\XINT_RQ_end_iv #1\Z #2#3#4#5#6#7#8#9\Z { #5#6#7#8#9}% \def\XINT_RQ_end_iii #1\Z #2#3#4#5#6#7#8#9\Z { #4#5#6#7#8#9000}% \def\XINT_RQ_end_ii #1\Z #2#3#4#5#6#7#8#9\Z { #3#4#5#6#7#8#900}% \def\XINT_RQ_end_i \Z #1#2#3#4#5#6#7#8\Z { #1#2#3#4#5#6#7#80}% \def\XINT_SQ #1#2#3#4#5#6#7#8% {% \xint_gob_til_R #8\XINT_SQ_end_a\R\XINT_SQ {#8#7#6#5#4#3#2#1}% }% \def\XINT_SQ_end_a\R\XINT_SQ #1#2\Z {% \XINT_SQ_end_b #1\Z }% \def\XINT_SQ_end_b #1#2#3#4#5#6#7% {% \xint_gob_til_R #7\XINT_SQ_end_vii #6\XINT_SQ_end_vi #5\XINT_SQ_end_v #4\XINT_SQ_end_iv #3\XINT_SQ_end_iii #2\XINT_SQ_end_ii \R\XINT_SQ_end_i \Z #2#3#4#5#6#7% }% \def\XINT_SQ_end_vii #1\Z #2#3#4#5#6#7#8\Z { #8}% \def\XINT_SQ_end_vi #1\Z #2#3#4#5#6#7#8\Z { #7#8000000}% \def\XINT_SQ_end_v #1\Z #2#3#4#5#6#7#8\Z { #6#7#800000}% \def\XINT_SQ_end_iv #1\Z #2#3#4#5#6#7#8\Z { #5#6#7#80000}% \def\XINT_SQ_end_iii #1\Z #2#3#4#5#6#7#8\Z { #4#5#6#7#8000}% \def\XINT_SQ_end_ii #1\Z #2#3#4#5#6#7#8\Z { #3#4#5#6#7#800}% \def\XINT_SQ_end_i \Z #1#2#3#4#5#6#7\Z { #1#2#3#4#5#6#70}% \def\XINT_OQ #1#2#3#4#5#6#7#8#9% {% \xint_gob_til_R #9\XINT_OQ_end_a\R\XINT_OQ {#9#8#7#6#5#4#3#2#1}% }% \def\XINT_OQ_end_a\R\XINT_OQ #1#2\Z {% \XINT_OQ_end_b #1\Z }% \def\XINT_OQ_end_b #1#2#3#4#5#6#7#8% {% \xint_gob_til_R #8\XINT_OQ_end_viii #7\XINT_OQ_end_vii #6\XINT_OQ_end_vi #5\XINT_OQ_end_v #4\XINT_OQ_end_iv #3\XINT_OQ_end_iii #2\XINT_OQ_end_ii \R\XINT_OQ_end_i \Z #2#3#4#5#6#7#8% }% \def\XINT_OQ_end_viii #1\Z #2#3#4#5#6#7#8#9\Z { #9}% \def\XINT_OQ_end_vii #1\Z #2#3#4#5#6#7#8#9\Z { #8#90000000}% \def\XINT_OQ_end_vi #1\Z #2#3#4#5#6#7#8#9\Z { #7#8#9000000}% \def\XINT_OQ_end_v #1\Z #2#3#4#5#6#7#8#9\Z { #6#7#8#900000}% \def\XINT_OQ_end_iv #1\Z #2#3#4#5#6#7#8#9\Z { #5#6#7#8#90000}% \def\XINT_OQ_end_iii #1\Z #2#3#4#5#6#7#8#9\Z { #4#5#6#7#8#9000}% \def\XINT_OQ_end_ii #1\Z #2#3#4#5#6#7#8#9\Z { #3#4#5#6#7#8#900}% \def\XINT_OQ_end_i \Z #1#2#3#4#5#6#7#8\Z { #1#2#3#4#5#6#7#80}% \edef\xint_cleanupzeros_andstop #1#2#3#4% {% \noexpand\expandafter\space\noexpand\the\numexpr #1#2#3#4\relax }% \def\xint_cleanupzeros_nostop #1#2#3#4% {% \the\numexpr #1#2#3#4\relax }% \def\XINT_rev_andcuz #1% {% \expandafter\xint_cleanupzeros_andstop \romannumeral0\XINT_rord_main {}#1% \xint_relax \xint_bye\xint_bye\xint_bye\xint_bye \xint_bye\xint_bye\xint_bye\xint_bye \xint_relax }% \def\XINT_cuz #1% {% \XINT_cuz_loop #1\W\W\W\W\W\W\W\Z% }% \def\XINT_cuz_loop #1#2#3#4#5#6#7#8% {% \xint_gob_til_W #8\xint_cuz_end_a\W \xint_gob_til_Z #8\xint_cuz_end_A\Z \XINT_cuz_check_a {#1#2#3#4#5#6#7#8}% }% \def\xint_cuz_end_a #1\XINT_cuz_check_a #2% {% \xint_cuz_end_b #2% }% \edef\xint_cuz_end_b #1#2#3#4#5\Z {% \noexpand\expandafter\space\noexpand\the\numexpr #1#2#3#4\relax }% \def\xint_cuz_end_A \Z\XINT_cuz_check_a #1{ 0}% \def\XINT_cuz_check_a #1% {% \expandafter\XINT_cuz_check_b\the\numexpr #1\relax }% \def\XINT_cuz_check_b #1% {% \xint_gob_til_zero #1\xint_cuz_backtoloop 0\XINT_cuz_stop #1% }% \def\XINT_cuz_stop #1\W #2\Z{ #1}% \def\xint_cuz_backtoloop 0\XINT_cuz_stop 0{\XINT_cuz_loop }% \def\xintIsOne {\romannumeral0\xintisone }% \def\xintisone #1{\expandafter\XINT_isone\romannumeral0\xintnum{#1}\W\Z }% \def\XINT_isOne #1{\romannumeral0\XINT_isone #1\W\Z }% \def\XINT_isone #1#2% {% \xint_gob_til_one #1\XINT_isone_b 1% \expandafter\space\expandafter 0\xint_gob_til_Z #2% }% \def\XINT_isone_b #1\xint_gob_til_Z #2% {% \xint_gob_til_W #2\XINT_isone_yes \W \expandafter\space\expandafter 0\xint_gob_til_Z }% \def\XINT_isone_yes #1\Z { 1}% \def\xintiNum {\romannumeral0\xintinum }% \def\xintinum #1% {% \expandafter\XINT_num_loop \romannumeral-`0#1\xint_relax\xint_relax\xint_relax\xint_relax \xint_relax\xint_relax\xint_relax\xint_relax\Z }% \let\xintNum\xintiNum \let\xintnum\xintinum \def\XINT_num #1% {% \XINT_num_loop #1\xint_relax\xint_relax\xint_relax\xint_relax \xint_relax\xint_relax\xint_relax\xint_relax\Z }% \def\XINT_num_loop #1#2#3#4#5#6#7#8% {% \xint_gob_til_xint_relax #8\XINT_num_end\xint_relax \XINT_num_NumEight #1#2#3#4#5#6#7#8% }% \edef\XINT_num_end\xint_relax\XINT_num_NumEight #1\xint_relax #2\Z {% \noexpand\expandafter\space\noexpand\the\numexpr #1+\xint_c_\relax }% \def\XINT_num_NumEight #1#2#3#4#5#6#7#8% {% \ifnum \numexpr #1#2#3#4#5#6#7#8+\xint_c_= \xint_c_ \xint_afterfi {\expandafter\XINT_num_keepsign_a \the\numexpr #1#2#3#4#5#6#7#81\relax}% \else \xint_afterfi {\expandafter\XINT_num_finish \the\numexpr #1#2#3#4#5#6#7#8\relax}% \fi }% \def\XINT_num_keepsign_a #1% {% \xint_gob_til_one#1\XINT_num_gobacktoloop 1\XINT_num_keepsign_b }% \def\XINT_num_gobacktoloop 1\XINT_num_keepsign_b {\XINT_num_loop }% \def\XINT_num_keepsign_b #1{\XINT_num_loop -}% \def\XINT_num_finish #1\xint_relax #2\Z { #1}% \def\xintiiSgn {\romannumeral0\xintiisgn }% \def\xintiisgn #1% {% \expandafter\XINT_sgn \romannumeral-`0#1\Z% }% \def\xintSgn {\romannumeral0\xintsgn }% \def\xintsgn #1% {% \expandafter\XINT_sgn \romannumeral0\xintnum{#1}\Z% }% \def\XINT_sgn #1#2\Z {% \xint_UDzerominusfork #1-{ 0}% 0#1{ -1}% 0-{ 1}% \krof }% \def\XINT_Sgn #1#2\Z {% \xint_UDzerominusfork #1-{0}% 0#1{-1}% 0-{1}% \krof }% \def\XINT_cntSgn #1#2\Z {% \xint_UDzerominusfork #1-\z@ 0#1\m@ne 0-\@ne \krof }% \def\xintBool #1{\romannumeral-`0% \csname if#1\endcsname\expandafter1\else\expandafter0\fi }% \def\xintToggle #1{\romannumeral-`0\iftoggle{#1}{1}{0}}% \def\xintSgnFork {\romannumeral0\xintsgnfork }% \def\xintsgnfork #1% {% \ifcase #1 \expandafter\xint_secondofthree_thenstop \or\expandafter\xint_thirdofthree_thenstop \else\expandafter\xint_firstofthree_thenstop \fi }% \def\XINT_cntSgnFork #1% {% \ifcase #1\expandafter\xint_secondofthree \or\expandafter\xint_thirdofthree \else\expandafter\xint_firstofthree \fi }% \def\xintifSgn {\romannumeral0\xintifsgn }% \def\xintifsgn #1% {% \ifcase \romannumeral0\xintsgn{#1} \expandafter\xint_secondofthree_thenstop \or\expandafter\xint_thirdofthree_thenstop \else\expandafter\xint_firstofthree_thenstop \fi }% \def\xintifZero {\romannumeral0\xintifzero }% \def\xintifzero #1% {% \if0\xintSgn{#1}% \expandafter\xint_firstoftwo_thenstop \else \expandafter\xint_secondoftwo_thenstop \fi }% \def\xintifNotZero {\romannumeral0\xintifnotzero }% \def\xintifnotzero #1% {% \if0\xintSgn{#1}% \expandafter\xint_secondoftwo_thenstop \else \expandafter\xint_firstoftwo_thenstop \fi }% \def\xintifOne {\romannumeral0\xintifone }% \def\xintifone #1% {% \if1\xintIsOne{#1}% \expandafter\xint_firstoftwo_thenstop \else \expandafter\xint_secondoftwo_thenstop \fi }% \let\xintifTrueAelseB\xintifNotZero \let\xintifFalseAelseB\xintifZero \let\xintifTrue\xintifNotZero \let\xintifTrueFalse\xintifNotZero \def\xintifCmp {\romannumeral0\xintifcmp }% \def\xintifcmp #1#2% {% \ifcase\xintCmp {#1}{#2} \expandafter\xint_secondofthree_thenstop \or\expandafter\xint_thirdofthree_thenstop \else\expandafter\xint_firstofthree_thenstop \fi }% \def\xintifEq {\romannumeral0\xintifeq }% \def\xintifeq #1#2% {% \if0\xintCmp{#1}{#2}% \expandafter\xint_firstoftwo_thenstop \else\expandafter\xint_secondoftwo_thenstop \fi }% \def\xintifGt {\romannumeral0\xintifgt }% \def\xintifgt #1#2% {% \if1\xintCmp{#1}{#2}% \expandafter\xint_firstoftwo_thenstop \else\expandafter\xint_secondoftwo_thenstop \fi }% \def\xintifLt {\romannumeral0\xintiflt }% \def\xintiflt #1#2% {% \ifnum\xintCmp{#1}{#2}<\xint_c_ \expandafter\xint_firstoftwo_thenstop \else \expandafter\xint_secondoftwo_thenstop \fi }% \def\xintifOdd {\romannumeral0\xintifodd }% \def\xintifodd #1% {% \if\xintOdd{#1}1% \expandafter\xint_firstoftwo_thenstop \else \expandafter\xint_secondoftwo_thenstop \fi }% \def\xintiiOpp {\romannumeral0\xintiiopp }% \def\xintiiopp #1% {% \expandafter\XINT_opp \romannumeral-`0#1% }% \def\xintiOpp {\romannumeral0\xintiopp }% \def\xintiopp #1% {% \expandafter\XINT_opp \romannumeral0\xintnum{#1}% }% \let\xintOpp\xintiOpp \let\xintopp\xintiopp \def\XINT_Opp #1{\romannumeral0\XINT_opp #1}% \def\XINT_opp #1% {% \xint_UDzerominusfork #1-{ 0}% zero 0#1{ }% negative 0-{ -#1}% positive \krof }% \def\xintiiAbs {\romannumeral0\xintiiabs }% \def\xintiiabs #1% {% \expandafter\XINT_abs \romannumeral-`0#1% }% \def\xintiAbs {\romannumeral0\xintiabs }% \def\xintiabs #1% {% \expandafter\XINT_abs \romannumeral0\xintnum{#1}% }% \let\xintAbs\xintiAbs \let\xintabs\xintiabs \def\XINT_Abs #1{\romannumeral0\XINT_abs #1}% \def\XINT_abs #1% {% \xint_UDsignfork #1{ }% -{ #1}% \krof }% \def\XINT_add_A #1#2#3#4#5#6% {% \xint_gob_til_W #3\xint_add_az\W \XINT_add_AB #1{#3#4#5#6}{#2}% }% \def\xint_add_az\W\XINT_add_AB #1#2% {% \XINT_add_AC_checkcarry #1% }% \def\XINT_add_AB #1#2#3#4\W\X\Y\Z #5#6#7#8% {% \xint_gob_til_W #5\xint_add_bz\W \XINT_add_ABE #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z }% \def\XINT_add_ABE #1#2#3#4#5#6% {% \expandafter\XINT_add_ABEA\the\numexpr #1+10#5#4#3#2+#6.% }% \def\XINT_add_ABEA #1#2#3.#4% {% \XINT_add_A #2{#3#4}% }% \def\xint_add_bz\W\XINT_add_ABE #1#2#3#4#5#6% {% \expandafter\XINT_add_CC\the\numexpr #1+10#5#4#3#2.% }% \def\XINT_add_CC #1#2#3.#4% {% \XINT_add_AC_checkcarry #2{#3#4}% on va examiner et \'eliminer #2 }% \def\XINT_add_AC_checkcarry #1% {% \xint_gob_til_zero #1\xint_add_AC_nocarry 0\XINT_add_C }% \def\xint_add_AC_nocarry 0\XINT_add_C #1#2\W\X\Y\Z {% \expandafter \xint_cleanupzeros_andstop \romannumeral0% \XINT_rord_main {}#2% \xint_relax \xint_bye\xint_bye\xint_bye\xint_bye \xint_bye\xint_bye\xint_bye\xint_bye \xint_relax #1% }% \def\XINT_add_C #1#2#3#4#5% {% \xint_gob_til_W #2\xint_add_cz\W \XINT_add_CD {#5#4#3#2}{#1}% }% \def\XINT_add_CD #1% {% \expandafter\XINT_add_CC\the\numexpr 1+10#1.% }% \def\xint_add_cz\W\XINT_add_CD #1#2{ 1#2}% \def\XINT_addr_A #1#2#3#4#5#6% {% \xint_gob_til_W #3\xint_addr_az\W \XINT_addr_B #1{#3#4#5#6}{#2}% }% \def\xint_addr_az\W\XINT_addr_B #1#2% {% \XINT_addr_AC_checkcarry #1% }% \def\XINT_addr_B #1#2#3#4\W\X\Y\Z #5#6#7#8% {% \xint_gob_til_W #5\xint_addr_bz\W \XINT_addr_E #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z }% \def\XINT_addr_E #1#2#3#4#5#6% {% \expandafter\XINT_addr_ABEA\the\numexpr #1+10#5#4#3#2+#6\relax }% \def\XINT_addr_ABEA #1#2#3#4#5#6#7% {% \XINT_addr_A #2{#7#6#5#4#3}% }% \def\xint_addr_bz\W\XINT_addr_E #1#2#3#4#5#6% {% \expandafter\XINT_addr_CC\the\numexpr #1+10#5#4#3#2\relax }% \def\XINT_addr_CC #1#2#3#4#5#6#7% {% \XINT_addr_AC_checkcarry #2{#7#6#5#4#3}% }% \def\XINT_addr_AC_checkcarry #1% {% \xint_gob_til_zero #1\xint_addr_AC_nocarry 0\XINT_addr_C }% \def\xint_addr_AC_nocarry 0\XINT_addr_C #1#2\W\X\Y\Z { #1#2}% \def\XINT_addr_C #1#2#3#4#5% {% \xint_gob_til_W #2\xint_addr_cz\W \XINT_addr_D {#5#4#3#2}{#1}% }% \def\XINT_addr_D #1% {% \expandafter\XINT_addr_CC\the\numexpr 1+10#1\relax }% \def\xint_addr_cz\W\XINT_addr_D #1#2{ #21000}% \def\XINT_addm_A #1#2#3#4#5#6% {% \xint_gob_til_W #3\xint_addm_az\W \XINT_addm_AB #1{#3#4#5#6}{#2}% }% \def\xint_addm_az\W\XINT_addm_AB #1#2% {% \XINT_addm_AC_checkcarry #1% }% \def\XINT_addm_AB #1#2#3#4\W\X\Y\Z #5#6#7#8% {% \XINT_addm_ABE #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z }% \def\XINT_addm_ABE #1#2#3#4#5#6% {% \expandafter\XINT_addm_ABEA\the\numexpr #1+10#5#4#3#2+#6.% }% \def\XINT_addm_ABEA #1#2#3.#4% {% \XINT_addm_A #2{#3#4}% }% \def\XINT_addm_AC_checkcarry #1% {% \xint_gob_til_zero #1\xint_addm_AC_nocarry 0\XINT_addm_C }% \def\xint_addm_AC_nocarry 0\XINT_addm_C #1#2\W\X\Y\Z {% \expandafter \xint_cleanupzeros_andstop \romannumeral0% \XINT_rord_main {}#2% \xint_relax \xint_bye\xint_bye\xint_bye\xint_bye \xint_bye\xint_bye\xint_bye\xint_bye \xint_relax #1% }% \def\XINT_addm_C #1#2#3#4#5% {% \xint_gob_til_W #5\xint_addm_cw #4\xint_addm_cx #3\xint_addm_cy #2\xint_addm_cz \W\XINT_addm_CD {#5#4#3#2}{#1}% }% \def\XINT_addm_CD #1% {% \expandafter\XINT_addm_CC\the\numexpr 1+10#1.% }% \def\XINT_addm_CC #1#2#3.#4% {% \XINT_addm_AC_checkcarry #2{#3#4}% }% \def\xint_addm_cw #1\xint_addm_cx #2\xint_addm_cy #3\xint_addm_cz \W\XINT_addm_CD {% \expandafter\XINT_addm_CDw\the\numexpr 1+#1#2#3.% }% \def\XINT_addm_CDw #1.#2#3\X\Y\Z {% \XINT_addm_end #1#3% }% \def\xint_addm_cx #1\xint_addm_cy #2\xint_addm_cz \W\XINT_addm_CD {% \expandafter\XINT_addm_CDx\the\numexpr 1+#1#2.% }% \def\XINT_addm_CDx #1.#2#3\Y\Z {% \XINT_addm_end #1#3% }% \def\xint_addm_cy #1\xint_addm_cz \W\XINT_addm_CD {% \expandafter\XINT_addm_CDy\the\numexpr 1+#1.% }% \def\XINT_addm_CDy #1.#2#3\Z {% \XINT_addm_end #1#3% }% \def\xint_addm_cz\W\XINT_addm_CD #1#2#3{\XINT_addm_end #1#3}% \edef\XINT_addm_end #1#2#3#4#5% {\noexpand\expandafter\space\noexpand\the\numexpr #1#2#3#4#5\relax}% \def\XINT_addp_A #1#2#3#4#5#6% {% \xint_gob_til_W #3\xint_addp_az\W \XINT_addp_AB #1{#3#4#5#6}{#2}% }% \def\xint_addp_az\W\XINT_addp_AB #1#2% {% \XINT_addp_AC_checkcarry #1% }% \def\XINT_addp_AC_checkcarry #1% {% \xint_gob_til_zero #1\xint_addp_AC_nocarry 0\XINT_addp_C }% \def\xint_addp_AC_nocarry 0\XINT_addp_C {% \XINT_addp_F }% \def\XINT_addp_AB #1#2#3#4\W\X\Y\Z #5#6#7#8% {% \XINT_addp_ABE #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z }% \def\XINT_addp_ABE #1#2#3#4#5#6% {% \expandafter\XINT_addp_ABEA\the\numexpr #1+10#5#4#3#2+#6\relax }% \def\XINT_addp_ABEA #1#2#3#4#5#6#7% {% \XINT_addp_A #2{#7#6#5#4#3}%<-- attention on met donc \`a droite }% \def\XINT_addp_C #1#2#3#4#5% {% \xint_gob_til_W #5\xint_addp_cw #4\xint_addp_cx #3\xint_addp_cy #2\xint_addp_cz \W\XINT_addp_CD {#5#4#3#2}{#1}% }% \def\XINT_addp_CD #1% {% \expandafter\XINT_addp_CC\the\numexpr 1+10#1\relax }% \def\XINT_addp_CC #1#2#3#4#5#6#7% {% \XINT_addp_AC_checkcarry #2{#7#6#5#4#3}% }% \def\xint_addp_cw #1\xint_addp_cx #2\xint_addp_cy #3\xint_addp_cz \W\XINT_addp_CD {% \expandafter\XINT_addp_CDw\the\numexpr \xint_c_i+10#1#2#3\relax }% \def\XINT_addp_CDw #1#2#3#4#5#6% {% \xint_gob_til_zeros_iv #2#3#4#5\XINT_addp_endDw_zeros 0000\XINT_addp_endDw #2#3#4#5% }% \def\XINT_addp_endDw_zeros 0000\XINT_addp_endDw 0000#1\X\Y\Z{ #1}% \def\XINT_addp_endDw #1#2#3#4#5\X\Y\Z{ #5#4#3#2#1}% \def\xint_addp_cx #1\xint_addp_cy #2\xint_addp_cz \W\XINT_addp_CD {% \expandafter\XINT_addp_CDx\the\numexpr \xint_c_i+100#1#2\relax }% \def\XINT_addp_CDx #1#2#3#4#5#6% {% \xint_gob_til_zeros_iv #2#3#4#5\XINT_addp_endDx_zeros 0000\XINT_addp_endDx #2#3#4#5% }% \def\XINT_addp_endDx_zeros 0000\XINT_addp_endDx 0000#1\Y\Z{ #1}% \def\XINT_addp_endDx #1#2#3#4#5\Y\Z{ #5#4#3#2#1}% \def\xint_addp_cy #1\xint_addp_cz\W\XINT_addp_CD {% \expandafter\XINT_addp_CDy\the\numexpr \xint_c_i+1000#1\relax }% \def\XINT_addp_CDy #1#2#3#4#5#6% {% \xint_gob_til_zeros_iv #2#3#4#5\XINT_addp_endDy_zeros 0000\XINT_addp_endDy #2#3#4#5% }% \def\XINT_addp_endDy_zeros 0000\XINT_addp_endDy 0000#1\Z{ #1}% \def\XINT_addp_endDy #1#2#3#4#5\Z{ #5#4#3#2#1}% \def\xint_addp_cz\W\XINT_addp_CD #1#2{ #21000}% \def\XINT_addp_F #1#2#3#4#5% {% \xint_gob_til_W #5\xint_addp_Gw #4\xint_addp_Gx #3\xint_addp_Gy #2\xint_addp_Gz \W\XINT_addp_G {#2#3#4#5}{#1}% }% \def\XINT_addp_G #1#2% {% \XINT_addp_F {#2#1}% }% \def\xint_addp_Gw #1\xint_addp_Gx #2\xint_addp_Gy #3\xint_addp_Gz \W\XINT_addp_G #4% {% \xint_gob_til_zeros_iv #3#2#10\XINT_addp_endGw_zeros 0000\XINT_addp_endGw #3#2#10% }% \def\XINT_addp_endGw_zeros 0000\XINT_addp_endGw 0000#1\X\Y\Z{ #1}% \def\XINT_addp_endGw #1#2#3#4#5\X\Y\Z{ #5#1#2#3#4}% \def\xint_addp_Gx #1\xint_addp_Gy #2\xint_addp_Gz \W\XINT_addp_G #3% {% \xint_gob_til_zeros_iv #2#100\XINT_addp_endGx_zeros 0000\XINT_addp_endGx #2#100% }% \def\XINT_addp_endGx_zeros 0000\XINT_addp_endGx 0000#1\Y\Z{ #1}% \def\XINT_addp_endGx #1#2#3#4#5\Y\Z{ #5#1#2#3#4}% \def\xint_addp_Gy #1\xint_addp_Gz \W\XINT_addp_G #2% {% \xint_gob_til_zeros_iv #1000\XINT_addp_endGy_zeros 0000\XINT_addp_endGy #1000% }% \def\XINT_addp_endGy_zeros 0000\XINT_addp_endGy 0000#1\Z{ #1}% \def\XINT_addp_endGy #1#2#3#4#5\Z{ #5#1#2#3#4}% \def\xint_addp_Gz\W\XINT_addp_G #1#2{ #2}% \def\xintiiAdd {\romannumeral0\xintiiadd }% \def\xintiiadd #1% {% \expandafter\xint_iiadd\expandafter{\romannumeral-`0#1}% }% \def\xint_iiadd #1#2% {% \expandafter\XINT_add_fork \romannumeral-`0#2\Z #1\Z }% \def\xintiAdd {\romannumeral0\xintiadd }% \def\xintiadd #1% {% \expandafter\xint_add\expandafter{\romannumeral0\xintnum{#1}}% }% \def\xint_add #1#2% {% \expandafter\XINT_add_fork \romannumeral0\xintnum{#2}\Z #1\Z }% \let\xintAdd\xintiAdd \let\xintadd\xintiadd \def\XINT_Add #1#2{\romannumeral0\XINT_add_fork #2\Z #1\Z }% \def\XINT_add #1#2{\XINT_add_fork #2\Z #1\Z }% \def\XINT_add_fork #1#2\Z #3#4\Z {% \xint_UDzerofork #1\XINT_add_secondiszero #3\XINT_add_firstiszero 0 {\xint_UDsignsfork #1#3\XINT_add_minusminus % #1 = #3 = - #1-\XINT_add_minusplus % #1 = - #3-\XINT_add_plusminus % #3 = - --\XINT_add_plusplus \krof }% \krof {#2}{#4}#1#3% }% \def\XINT_add_secondiszero #1#2#3#4{ #4#2}% \def\XINT_add_firstiszero #1#2#3#4{ #3#1}% \def\XINT_add_minusminus #1#2#3#4% {% \expandafter\xint_minus_thenstop% \romannumeral0\XINT_add_pre {#2}{#1}% }% \def\XINT_add_minusplus #1#2#3#4% {% \XINT_sub_pre {#4#2}{#1}% }% \def\XINT_add_plusminus #1#2#3#4% {% \XINT_sub_pre {#3#1}{#2}% }% \def\XINT_add_plusplus #1#2#3#4% {% \XINT_add_pre {#4#2}{#3#1}% }% \def\XINT_add_pre #1% {% \expandafter\XINT_add_pre_b\expandafter {\romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z }% }% \def\XINT_add_pre_b #1#2% {% \expandafter\XINT_add_A \expandafter0\expandafter{\expandafter}% \romannumeral0\XINT_RQ {}#2\R\R\R\R\R\R\R\R\Z \W\X\Y\Z #1\W\X\Y\Z }% \def\xintiiSub {\romannumeral0\xintiisub }% \def\xintiisub #1% {% \expandafter\xint_iisub\expandafter{\romannumeral-`0#1}% }% \def\xint_iisub #1#2% {% \expandafter\XINT_sub_fork \romannumeral-`0#2\Z #1\Z }% \def\xintiSub {\romannumeral0\xintisub }% \def\xintisub #1% {% \expandafter\xint_sub\expandafter{\romannumeral0\xintnum{#1}}% }% \def\xint_sub #1#2% {% \expandafter\XINT_sub_fork \romannumeral0\xintnum{#2}\Z #1\Z }% \def\XINT_Sub #1#2{\romannumeral0\XINT_sub_fork #2\Z #1\Z }% \def\XINT_sub #1#2{\XINT_sub_fork #2\Z #1\Z }% \let\xintSub\xintiSub \let\xintsub\xintisub \def\XINT_sub_fork #1#2\Z #3#4\Z {% \xint_UDsignsfork #1#3\XINT_sub_minusminus #1-\XINT_sub_minusplus % attention, #3=0 possible #3-\XINT_sub_plusminus % attention, #1=0 possible --{\xint_UDzerofork #1\XINT_sub_secondiszero #3\XINT_sub_firstiszero 0\XINT_sub_plusplus \krof }% \krof {#2}{#4}#1#3% }% \def\XINT_sub_secondiszero #1#2#3#4{ #4#2}% \def\XINT_sub_firstiszero #1#2#3#4{ -#3#1}% \def\XINT_sub_plusplus #1#2#3#4% {% \XINT_sub_pre {#4#2}{#3#1}% }% \def\XINT_sub_minusminus #1#2#3#4% {% \XINT_sub_pre {#1}{#2}% }% \def\XINT_sub_minusplus #1#2#3#4% {% \xint_gob_til_zero #4\xint_sub_mp0\XINT_add_pre {#4#2}{#1}% }% \def\xint_sub_mp0\XINT_add_pre #1#2{ #2}% \def\XINT_sub_plusminus #1#2#3#4% {% \xint_gob_til_zero #3\xint_sub_pm0\expandafter\xint_minus_thenstop% \romannumeral0\XINT_add_pre {#2}{#3#1}% }% \def\xint_sub_pm #1\XINT_add_pre #2#3{ -#2}% \def\XINT_sub_pre #1% {% \expandafter\XINT_sub_pre_b\expandafter {\romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z }% }% \def\XINT_sub_pre_b #1#2% {% \expandafter\XINT_sub_A \expandafter1\expandafter{\expandafter}% \romannumeral0\XINT_RQ {}#2\R\R\R\R\R\R\R\R\Z \W\X\Y\Z #1 \W\X\Y\Z }% \def\XINT_sub_A #1#2#3\W\X\Y\Z #4#5#6#7% {% \xint_gob_til_W #4\xint_sub_az \W\XINT_sub_B #1{#4#5#6#7}{#2}#3\W\X\Y\Z }% \def\XINT_sub_B #1#2#3#4#5#6#7% {% \xint_gob_til_W #4\xint_sub_bz \W\XINT_sub_onestep #1#2{#7#6#5#4}{#3}% }% \def\XINT_sub_onestep #1#2#3#4#5#6% {% \expandafter\XINT_sub_backtoA\the\numexpr 11#5#4#3#2-#6+#1-\xint_c_i.% }% \def\XINT_sub_backtoA #1#2#3.#4% {% \XINT_sub_A #2{#3#4}% }% \def\xint_sub_bz \W\XINT_sub_onestep #1#2#3#4#5#6#7% {% \xint_UDzerofork #1\XINT_sub_C % une retenue 0\XINT_sub_D % pas de retenue \krof {#7}#2#3#4#5% }% \def\XINT_sub_D #1#2\W\X\Y\Z {% \expandafter \xint_cleanupzeros_andstop \romannumeral0% \XINT_rord_main {}#2% \xint_relax \xint_bye\xint_bye\xint_bye\xint_bye \xint_bye\xint_bye\xint_bye\xint_bye \xint_relax #1% }% \def\XINT_sub_C #1#2#3#4#5% {% \xint_gob_til_W #2\xint_sub_cz \W\XINT_sub_AC_onestep {#5#4#3#2}{#1}% }% \def\XINT_sub_AC_onestep #1% {% \expandafter\XINT_sub_backtoC\the\numexpr 11#1-\xint_c_i.% }% \def\XINT_sub_backtoC #1#2#3.#4% {% \XINT_sub_AC_checkcarry #2{#3#4}% la retenue va \^etre examin\'ee }% \def\XINT_sub_AC_checkcarry #1% {% \xint_gob_til_one #1\xint_sub_AC_nocarry 1\XINT_sub_C }% \def\xint_sub_AC_nocarry 1\XINT_sub_C #1#2\W\X\Y\Z {% \expandafter \XINT_cuz_loop \romannumeral0% \XINT_rord_main {}#2% \xint_relax \xint_bye\xint_bye\xint_bye\xint_bye \xint_bye\xint_bye\xint_bye\xint_bye \xint_relax #1\W\W\W\W\W\W\W\Z }% \def\xint_sub_cz\W\XINT_sub_AC_onestep #1% {% \XINT_cuz }% \def\xint_sub_az\W\XINT_sub_B #1#2#3#4#5#6#7% {% \xint_gob_til_W #4\xint_sub_ez \W\XINT_sub_Eenter #1{#3}#4#5#6#7% }% \def\XINT_sub_Eenter #1#2% {% \expandafter \XINT_sub_E\expandafter1\expandafter{\expandafter}% \romannumeral0% \XINT_rord_main {}#2% \xint_relax \xint_bye\xint_bye\xint_bye\xint_bye \xint_bye\xint_bye\xint_bye\xint_bye \xint_relax \W\X\Y\Z #1% }% \def\XINT_sub_E #1#2#3#4#5#6% {% \xint_gob_til_W #3\xint_sub_F\W \XINT_sub_Eonestep #1{#6#5#4#3}{#2}% }% \def\XINT_sub_Eonestep #1#2% {% \expandafter\XINT_sub_backtoE\the\numexpr 109999-#2+#1.% }% \def\XINT_sub_backtoE #1#2#3.#4% {% \XINT_sub_E #2{#3#4}% }% \def\xint_sub_F\W\XINT_sub_Eonestep #1#2#3#4% {% \xint_UDonezerofork #4#1{\XINT_sub_Fdec 0}% soustraire 1. Et faire signe - #1#4{\XINT_sub_Finc 1}% additionner 1. Et faire signe - 10\XINT_sub_DD % terminer. Mais avec signe - \krof {#3}% }% \def\XINT_sub_DD {\expandafter\xint_minus_thenstop\romannumeral0\XINT_sub_D }% \def\XINT_sub_Fdec #1#2#3#4#5#6% {% \xint_gob_til_W #3\xint_sub_Fdec_finish\W \XINT_sub_Fdec_onestep #1{#6#5#4#3}{#2}% }% \def\XINT_sub_Fdec_onestep #1#2% {% \expandafter\XINT_sub_backtoFdec\the\numexpr 11#2+#1-\xint_c_i.% }% \def\XINT_sub_backtoFdec #1#2#3.#4% {% \XINT_sub_Fdec #2{#3#4}% }% \def\xint_sub_Fdec_finish\W\XINT_sub_Fdec_onestep #1#2% {% \expandafter\xint_minus_thenstop\romannumeral0\XINT_cuz }% \def\XINT_sub_Finc #1#2#3#4#5#6% {% \xint_gob_til_W #3\xint_sub_Finc_finish\W \XINT_sub_Finc_onestep #1{#6#5#4#3}{#2}% }% \def\XINT_sub_Finc_onestep #1#2% {% \expandafter\XINT_sub_backtoFinc\the\numexpr 10#2+#1.% }% \def\XINT_sub_backtoFinc #1#2#3.#4% {% \XINT_sub_Finc #2{#3#4}% }% \def\xint_sub_Finc_finish\W\XINT_sub_Finc_onestep #1#2#3% {% \xint_UDzerofork #1{\expandafter\expandafter\expandafter \xint_minus_thenstop\xint_cleanupzeros_nostop}% 0{ -1}% \krof #3% }% \def\xint_sub_ez\W\XINT_sub_Eenter #1% {% \xint_UDzerofork #1\XINT_sub_K % il y a une retenue 0\XINT_sub_L % pas de retenue \krof }% \def\XINT_sub_L #1\W\X\Y\Z {\XINT_cuz_loop #1\W\W\W\W\W\W\W\Z }% \def\XINT_sub_K #1% {% \expandafter \XINT_sub_KK\expandafter1\expandafter{\expandafter}% \romannumeral0% \XINT_rord_main {}#1% \xint_relax \xint_bye\xint_bye\xint_bye\xint_bye \xint_bye\xint_bye\xint_bye\xint_bye \xint_relax }% \def\XINT_sub_KK #1#2#3#4#5#6% {% \xint_gob_til_W #3\xint_sub_KK_finish\W \XINT_sub_KK_onestep #1{#6#5#4#3}{#2}% }% \def\XINT_sub_KK_onestep #1#2% {% \expandafter\XINT_sub_backtoKK\the\numexpr 109999-#2+#1.% }% \def\XINT_sub_backtoKK #1#2#3.#4% {% \XINT_sub_KK #2{#3#4}% }% \def\xint_sub_KK_finish\W\XINT_sub_KK_onestep #1#2#3% {% \expandafter\xint_minus_thenstop \romannumeral0\XINT_cuz_loop #3\W\W\W\W\W\W\W\Z }% \def\xintCmp {\romannumeral0\xintcmp }% \def\xintcmp #1% {% \expandafter\xint_cmp\expandafter{\romannumeral0\xintnum{#1}}% }% \def\xint_cmp #1#2% {% \expandafter\XINT_cmp_fork \romannumeral0\xintnum{#2}\Z #1\Z }% \def\XINT_Cmp #1#2{\romannumeral0\XINT_cmp_fork #2\Z #1\Z }% \def\XINT_cmp_fork #1#2\Z #3#4\Z {% \xint_UDsignsfork #1#3\XINT_cmp_minusminus #1-\XINT_cmp_minusplus #3-\XINT_cmp_plusminus --{\xint_UDzerosfork #1#3\XINT_cmp_zerozero #10\XINT_cmp_zeroplus #30\XINT_cmp_pluszero 00\XINT_cmp_plusplus \krof }% \krof {#2}{#4}#1#3% }% \def\XINT_cmp_minusplus #1#2#3#4{ 1}% \def\XINT_cmp_plusminus #1#2#3#4{ -1}% \def\XINT_cmp_zerozero #1#2#3#4{ 0}% \def\XINT_cmp_zeroplus #1#2#3#4{ 1}% \def\XINT_cmp_pluszero #1#2#3#4{ -1}% \def\XINT_cmp_plusplus #1#2#3#4% {% \XINT_cmp_pre {#4#2}{#3#1}% }% \def\XINT_cmp_minusminus #1#2#3#4% {% \XINT_cmp_pre {#1}{#2}% }% \def\XINT_cmp_pre #1% {% \expandafter\XINT_cmp_pre_b\expandafter {\romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z }% }% \def\XINT_cmp_pre_b #1#2% {% \expandafter\XINT_cmp_A \expandafter1\expandafter{\expandafter}% \romannumeral0\XINT_RQ {}#2\R\R\R\R\R\R\R\R\Z \W\X\Y\Z #1\W\X\Y\Z }% \def\XINT_cmp_A #1#2#3\W\X\Y\Z #4#5#6#7% {% \xint_gob_til_W #4\xint_cmp_az\W \XINT_cmp_B #1{#4#5#6#7}{#2}#3\W\X\Y\Z }% \def\XINT_cmp_B #1#2#3#4#5#6#7% {% \xint_gob_til_W#4\xint_cmp_bz\W \XINT_cmp_onestep #1#2{#7#6#5#4}{#3}% }% \def\XINT_cmp_onestep #1#2#3#4#5#6% {% \expandafter\XINT_cmp_backtoA\the\numexpr 11#5#4#3#2-#6+#1-\xint_c_i.% }% \def\XINT_cmp_backtoA #1#2#3.#4% {% \XINT_cmp_A #2{#3#4}% }% \def\xint_cmp_bz\W\XINT_cmp_onestep #1\Z { 1}% \def\xint_cmp_az\W\XINT_cmp_B #1#2#3#4#5#6#7% {% \xint_gob_til_W #4\xint_cmp_ez\W \XINT_cmp_Eenter #1{#3}#4#5#6#7% }% \def\XINT_cmp_Eenter #1\Z { -1}% \def\xint_cmp_ez\W\XINT_cmp_Eenter #1% {% \xint_UDzerofork #1\XINT_cmp_K % il y a une retenue 0\XINT_cmp_L % pas de retenue \krof }% \def\XINT_cmp_K #1\Z { -1}% \def\XINT_cmp_L #1{\XINT_OneIfPositive_main #1}% \def\XINT_OneIfPositive #1% {% \XINT_OneIfPositive_main #1\W\X\Y\Z% }% \def\XINT_OneIfPositive_main #1#2#3#4% {% \xint_gob_til_Z #4\xint_OneIfPositive_terminated\Z \XINT_OneIfPositive_onestep #1#2#3#4% }% \def\xint_OneIfPositive_terminated\Z\XINT_OneIfPositive_onestep\W\X\Y\Z { 0}% \def\XINT_OneIfPositive_onestep #1#2#3#4% {% \expandafter\XINT_OneIfPositive_check\the\numexpr #1#2#3#4\relax }% \def\XINT_OneIfPositive_check #1% {% \xint_gob_til_zero #1\xint_OneIfPositive_backtomain 0% \XINT_OneIfPositive_finish #1% }% \def\XINT_OneIfPositive_finish #1\W\X\Y\Z{ 1}% \def\xint_OneIfPositive_backtomain 0\XINT_OneIfPositive_finish 0% {\XINT_OneIfPositive_main }% \def\xintEq {\romannumeral0\xinteq }% \def\xinteq #1#2{\xintifeq{#1}{#2}{1}{0}}% \def\xintGt {\romannumeral0\xintgt }% \def\xintgt #1#2{\xintifgt{#1}{#2}{1}{0}}% \def\xintLt {\romannumeral0\xintlt }% \def\xintlt #1#2{\xintiflt{#1}{#2}{1}{0}}% \def\xintIsZero {\romannumeral0\xintiszero }% \def\xintiszero #1{\if0\xintSgn{#1}\xint_afterfi{ 1}\else\xint_afterfi{ 0}\fi}% \def\xintIsNotZero {\romannumeral0\xintisnotzero }% \def\xintisnotzero #1{\if0\xintSgn{#1}\xint_afterfi{ 0}\else\xint_afterfi{ 1}\fi}% \let\xintIsTrue\xintIsNotZero \let\xintNot\xintIsZero \let\xintIsFalse\xintIsZero \def\xintAND {\romannumeral0\xintand }% \def\xintand #1#2{\if0\xintSgn{#1}\expandafter\xint_firstoftwo \else\expandafter\xint_secondoftwo\fi { 0}{\xintisnotzero{#2}}}% \def\xintOR {\romannumeral0\xintor }% \def\xintor #1#2{\if0\xintSgn{#1}\expandafter\xint_firstoftwo \else\expandafter\xint_secondoftwo\fi {\xintisnotzero{#2}}{ 1}}% \def\xintXOR {\romannumeral0\xintxor }% \def\xintxor #1#2{\if\xintIsZero{#1}\xintIsZero{#2}% \xint_afterfi{ 0}\else\xint_afterfi{ 1}\fi }% \def\xintANDof {\romannumeral0\xintandof }% \def\xintandof #1{\expandafter\XINT_andof_a\romannumeral-`0#1\relax }% \def\XINT_andof_a #1{\expandafter\XINT_andof_b\romannumeral-`0#1\Z }% \def\XINT_andof_b #1% {\xint_gob_til_relax #1\XINT_andof_e\relax\XINT_andof_c #1}% \def\XINT_andof_c #1\Z {\xintifTrueAelseB {#1}{\XINT_andof_a}{\XINT_andof_no}}% \def\XINT_andof_no #1\relax { 0}% \def\XINT_andof_e #1\Z { 1}% \def\xintORof {\romannumeral0\xintorof }% \def\xintorof #1{\expandafter\XINT_orof_a\romannumeral-`0#1\relax }% \def\XINT_orof_a #1{\expandafter\XINT_orof_b\romannumeral-`0#1\Z }% \def\XINT_orof_b #1% {\xint_gob_til_relax #1\XINT_orof_e\relax\XINT_orof_c #1}% \def\XINT_orof_c #1\Z {\xintifTrueAelseB {#1}{\XINT_orof_yes}{\XINT_orof_a}}% \def\XINT_orof_yes #1\relax { 1}% \def\XINT_orof_e #1\Z { 0}% \def\xintXORof {\romannumeral0\xintxorof }% \def\xintxorof #1{\expandafter\XINT_xorof_a\expandafter 0\romannumeral-`0#1\relax }% \def\XINT_xorof_a #1#2{\expandafter\XINT_xorof_b\romannumeral-`0#2\Z #1}% \def\XINT_xorof_b #1% {\xint_gob_til_relax #1\XINT_xorof_e\relax\XINT_xorof_c #1}% \def\XINT_xorof_c #1\Z #2% {\xintifTrueAelseB {#1}{\if #20\xint_afterfi{\XINT_xorof_a 1}% \else\xint_afterfi{\XINT_xorof_a 0}\fi}% {\XINT_xorof_a #2}% }% \def\XINT_xorof_e #1\Z #2{ #2}% \def\xintGeq {\romannumeral0\xintgeq }% \def\xintgeq #1% {% \expandafter\xint_geq\expandafter {\romannumeral0\xintnum{#1}}% }% \def\xint_geq #1#2% {% \expandafter\XINT_geq_fork \romannumeral0\xintnum{#2}\Z #1\Z }% \def\XINT_Geq #1#2{\romannumeral0\XINT_geq_fork #2\Z #1\Z }% \def\XINT_geq_fork #1#2\Z #3#4\Z {% \xint_UDzerofork #1\XINT_geq_secondiszero % |#1#2|=0 #3\XINT_geq_firstiszero % |#1#2|>0 0{\xint_UDsignsfork #1#3\XINT_geq_minusminus #1-\XINT_geq_minusplus #3-\XINT_geq_plusminus --\XINT_geq_plusplus \krof }% \krof {#2}{#4}#1#3% }% \def\XINT_geq_secondiszero #1#2#3#4{ 1}% \def\XINT_geq_firstiszero #1#2#3#4{ 0}% \def\XINT_geq_plusplus #1#2#3#4{\XINT_geq_pre {#4#2}{#3#1}}% \def\XINT_geq_minusminus #1#2#3#4{\XINT_geq_pre {#2}{#1}}% \def\XINT_geq_minusplus #1#2#3#4{\XINT_geq_pre {#4#2}{#1}}% \def\XINT_geq_plusminus #1#2#3#4{\XINT_geq_pre {#2}{#3#1}}% \def\XINT_geq_pre #1% {% \expandafter\XINT_geq_pre_b\expandafter {\romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z }% }% \def\XINT_geq_pre_b #1#2% {% \expandafter\XINT_geq_A \expandafter1\expandafter{\expandafter}% \romannumeral0\XINT_RQ {}#2\R\R\R\R\R\R\R\R\Z \W\X\Y\Z #1 \W\X\Y\Z }% \def\XINT_geq_A #1#2#3\W\X\Y\Z #4#5#6#7% {% \xint_gob_til_W #4\xint_geq_az\W \XINT_geq_B #1{#4#5#6#7}{#2}#3\W\X\Y\Z }% \def\XINT_geq_B #1#2#3#4#5#6#7% {% \xint_gob_til_W #4\xint_geq_bz\W \XINT_geq_onestep #1#2{#7#6#5#4}{#3}% }% \def\XINT_geq_onestep #1#2#3#4#5#6% {% \expandafter\XINT_geq_backtoA\the\numexpr 11#5#4#3#2-#6+#1-\xint_c_i.% }% \def\XINT_geq_backtoA #1#2#3.#4% {% \XINT_geq_A #2{#3#4}% }% \def\xint_geq_bz\W\XINT_geq_onestep #1\W\X\Y\Z { 1}% \def\xint_geq_az\W\XINT_geq_B #1#2#3#4#5#6#7% {% \xint_gob_til_W #4\xint_geq_ez\W \XINT_geq_Eenter #1% }% \def\XINT_geq_Eenter #1\W\X\Y\Z { 0}% \def\xint_geq_ez\W\XINT_geq_Eenter #1% {% \xint_UDzerofork #1{ 0} % il y a une retenue 0{ 1} % pas de retenue \krof }% \def\xintiMax {\romannumeral0\xintimax }% \def\xintimax #1% {% \expandafter\xint_max\expandafter {\romannumeral0\xintnum{#1}}% }% \let\xintMax\xintiMax \let\xintmax\xintimax \def\xint_max #1#2% {% \expandafter\XINT_max_pre\expandafter {\romannumeral0\xintnum{#2}}{#1}% }% \def\XINT_max_pre #1#2{\XINT_max_fork #1\Z #2\Z {#2}{#1}}% \def\XINT_Max #1#2{\romannumeral0\XINT_max_fork #2\Z #1\Z {#1}{#2}}% \def\XINT_max_fork #1#2\Z #3#4\Z {% \xint_UDsignsfork #1#3\XINT_max_minusminus % A < 0, B < 0 #1-\XINT_max_minusplus % B < 0, A >= 0 #3-\XINT_max_plusminus % A < 0, B >= 0 --{\xint_UDzerosfork #1#3\XINT_max_zerozero % A = B = 0 #10\XINT_max_zeroplus % B = 0, A > 0 #30\XINT_max_pluszero % A = 0, B > 0 00\XINT_max_plusplus % A, B > 0 \krof }% \krof {#2}{#4}#1#3% }% \def\XINT_max_zerozero #1#2#3#4{\xint_firstoftwo_thenstop }% \def\XINT_max_zeroplus #1#2#3#4{\xint_firstoftwo_thenstop }% \def\XINT_max_pluszero #1#2#3#4{\xint_secondoftwo_thenstop }% \def\XINT_max_minusplus #1#2#3#4{\xint_firstoftwo_thenstop }% \def\XINT_max_plusminus #1#2#3#4{\xint_secondoftwo_thenstop }% \def\XINT_max_plusplus #1#2#3#4% {% \ifodd\XINT_Geq {#4#2}{#3#1} \expandafter\xint_firstoftwo_thenstop \else \expandafter\xint_secondoftwo_thenstop \fi }% \def\XINT_max_minusminus #1#2#3#4% {% \ifodd\XINT_Geq {#1}{#2} \expandafter\xint_firstoftwo_thenstop \else \expandafter\xint_secondoftwo_thenstop \fi }% \def\xintiMaxof {\romannumeral0\xintimaxof }% \def\xintimaxof #1{\expandafter\XINT_imaxof_a\romannumeral-`0#1\relax }% \def\XINT_imaxof_a #1{\expandafter\XINT_imaxof_b\romannumeral0\xintnum{#1}\Z }% \def\XINT_imaxof_b #1\Z #2% {\expandafter\XINT_imaxof_c\romannumeral-`0#2\Z {#1}\Z}% \def\XINT_imaxof_c #1% {\xint_gob_til_relax #1\XINT_imaxof_e\relax\XINT_imaxof_d #1}% \def\XINT_imaxof_d #1\Z {\expandafter\XINT_imaxof_b\romannumeral0\xintimax {#1}}% \def\XINT_imaxof_e #1\Z #2\Z { #2}% \let\xintMaxof\xintiMaxof \let\xintmaxof\xintimaxof \def\xintiMin {\romannumeral0\xintimin }% \def\xintimin #1% {% \expandafter\xint_min\expandafter {\romannumeral0\xintnum{#1}}% }% \let\xintMin\xintiMin \let\xintmin\xintimin \def\xint_min #1#2% {% \expandafter\XINT_min_pre\expandafter {\romannumeral0\xintnum{#2}}{#1}% }% \def\XINT_min_pre #1#2{\XINT_min_fork #1\Z #2\Z {#2}{#1}}% \def\XINT_Min #1#2{\romannumeral0\XINT_min_fork #2\Z #1\Z {#1}{#2}}% \def\XINT_min_fork #1#2\Z #3#4\Z {% \xint_UDsignsfork #1#3\XINT_min_minusminus % A < 0, B < 0 #1-\XINT_min_minusplus % B < 0, A >= 0 #3-\XINT_min_plusminus % A < 0, B >= 0 --{\xint_UDzerosfork #1#3\XINT_min_zerozero % A = B = 0 #10\XINT_min_zeroplus % B = 0, A > 0 #30\XINT_min_pluszero % A = 0, B > 0 00\XINT_min_plusplus % A, B > 0 \krof }% \krof {#2}{#4}#1#3% }% \def\XINT_min_zerozero #1#2#3#4{\xint_firstoftwo_thenstop }% \def\XINT_min_zeroplus #1#2#3#4{\xint_secondoftwo_thenstop }% \def\XINT_min_pluszero #1#2#3#4{\xint_firstoftwo_thenstop }% \def\XINT_min_minusplus #1#2#3#4{\xint_secondoftwo_thenstop }% \def\XINT_min_plusminus #1#2#3#4{\xint_firstoftwo_thenstop }% \def\XINT_min_plusplus #1#2#3#4% {% \ifodd\XINT_Geq {#4#2}{#3#1} \expandafter\xint_secondoftwo_thenstop \else \expandafter\xint_firstoftwo_thenstop \fi }% \def\XINT_min_minusminus #1#2#3#4% {% \ifodd\XINT_Geq {#1}{#2} \expandafter\xint_secondoftwo_thenstop \else \expandafter\xint_firstoftwo_thenstop \fi }% \def\xintiMinof {\romannumeral0\xintiminof }% \def\xintiminof #1{\expandafter\XINT_iminof_a\romannumeral-`0#1\relax }% \def\XINT_iminof_a #1{\expandafter\XINT_iminof_b\romannumeral0\xintnum{#1}\Z }% \def\XINT_iminof_b #1\Z #2% {\expandafter\XINT_iminof_c\romannumeral-`0#2\Z {#1}\Z}% \def\XINT_iminof_c #1% {\xint_gob_til_relax #1\XINT_iminof_e\relax\XINT_iminof_d #1}% \def\XINT_iminof_d #1\Z {\expandafter\XINT_iminof_b\romannumeral0\xintimin {#1}}% \def\XINT_iminof_e #1\Z #2\Z { #2}% \let\xintMinof\xintiMinof \let\xintminof\xintiminof \def\xintiiSum {\romannumeral0\xintiisum }% \def\xintiisum #1{\xintiisumexpr #1\relax }% \def\xintiiSumExpr {\romannumeral0\xintiisumexpr }% \def\xintiisumexpr {\expandafter\XINT_sumexpr\romannumeral-`0}% \let\xintSum\xintiiSum \let\xintsum\xintiisum \let\xintSumExpr\xintiiSumExpr \let\xintsumexpr\xintiisumexpr \def\XINT_sumexpr {\XINT_sum_loop {0000}{0000}}% \def\XINT_sum_loop #1#2#3% {% \expandafter\XINT_sum_checksign\romannumeral-`0#3\Z {#1}{#2}% }% \def\XINT_sum_checksign #1% {% \xint_gob_til_relax #1\XINT_sum_finished\relax \xint_gob_til_zero #1\XINT_sum_skipzeroinput0% \xint_UDsignfork #1\XINT_sum_N -{\XINT_sum_P #1}% \krof }% \def\XINT_sum_finished #1\Z #2#3% {% \XINT_sub_A 1{}#3\W\X\Y\Z #2\W\X\Y\Z }% \def\XINT_sum_skipzeroinput #1\krof #2\Z {\XINT_sum_loop }% \def\XINT_sum_P #1\Z #2% {% \expandafter\XINT_sum_loop\expandafter {\romannumeral0\expandafter \XINT_addr_A\expandafter0\expandafter{\expandafter}% \romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z \W\X\Y\Z #2\W\X\Y\Z }% }% \def\XINT_sum_N #1\Z #2#3% {% \expandafter\XINT_sum_NN\expandafter {\romannumeral0\expandafter \XINT_addr_A\expandafter0\expandafter{\expandafter}% \romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z \W\X\Y\Z #3\W\X\Y\Z }{#2}% }% \def\XINT_sum_NN #1#2{\XINT_sum_loop {#2}{#1}}% \def\xintiiMul {\romannumeral0\xintiimul }% \def\xintiimul #1% {% \expandafter\xint_iimul\expandafter {\romannumeral-`0#1}% }% \def\xint_iimul #1#2% {% \expandafter\XINT_mul_fork \romannumeral-`0#2\Z #1\Z }% \def\xintiMul {\romannumeral0\xintimul }% \def\xintimul #1% {% \expandafter\xint_mul\expandafter {\romannumeral0\xintnum{#1}}% }% \def\xint_mul #1#2% {% \expandafter\XINT_mul_fork \romannumeral0\xintnum{#2}\Z #1\Z }% \let\xintMul\xintiMul \let\xintmul\xintimul \def\XINT_Mul #1#2{\romannumeral0\XINT_mul_fork #2\Z #1\Z }% \def\XINT_mul_fork #1#2\Z #3#4\Z {% \xint_UDzerofork #1\XINT_mul_zero #3\XINT_mul_zero 0{\xint_UDsignsfork #1#3\XINT_mul_minusminus % #1 = #3 = - #1-{\XINT_mul_minusplus #3}% % #1 = - #3-{\XINT_mul_plusminus #1}% % #3 = - --{\XINT_mul_plusplus #1#3}% \krof }% \krof {#2}{#4}% }% \def\XINT_mul_zero #1#2{ 0}% \def\XINT_mul_minusminus #1#2% {% \expandafter\XINT_mul_choice_a \expandafter{\romannumeral0\xintlength {#2}}% {\romannumeral0\xintlength {#1}}{#1}{#2}% }% \def\XINT_mul_minusplus #1#2#3% {% \expandafter\xint_minus_thenstop\romannumeral0\expandafter \XINT_mul_choice_a \expandafter{\romannumeral0\xintlength {#1#3}}% {\romannumeral0\xintlength {#2}}{#2}{#1#3}% }% \def\XINT_mul_plusminus #1#2#3% {% \expandafter\xint_minus_thenstop\romannumeral0\expandafter \XINT_mul_choice_a \expandafter{\romannumeral0\xintlength {#3}}% {\romannumeral0\xintlength {#1#2}}{#1#2}{#3}% }% \def\XINT_mul_plusplus #1#2#3#4% {% \expandafter\XINT_mul_choice_a \expandafter{\romannumeral0\xintlength {#2#4}}% {\romannumeral0\xintlength {#1#3}}{#1#3}{#2#4}% }% \def\XINT_mul_choice_a #1#2% {% \expandafter\XINT_mul_choice_b\expandafter{#2}{#1}% }% \def\XINT_mul_choice_b #1#2% {% \ifnum #1<\xint_c_v \expandafter\XINT_mul_choice_littlebyfirst \else \ifnum #2<\xint_c_v \expandafter\expandafter\expandafter\XINT_mul_choice_littlebysecond \else \expandafter\expandafter\expandafter\XINT_mul_choice_compare \fi \fi {#1}{#2}% }% \def\XINT_mul_choice_littlebyfirst #1#2#3#4% {% \expandafter\XINT_mul_M \expandafter{\the\numexpr #3\expandafter}% \romannumeral0\XINT_RQ {}#4\R\R\R\R\R\R\R\R\Z \Z\Z\Z\Z }% \def\XINT_mul_choice_littlebysecond #1#2#3#4% {% \expandafter\XINT_mul_M \expandafter{\the\numexpr #4\expandafter}% \romannumeral0\XINT_RQ {}#3\R\R\R\R\R\R\R\R\Z \Z\Z\Z\Z }% \def\XINT_mul_choice_compare #1#2% {% \ifnum #1>#2 \expandafter \XINT_mul_choice_i \else \expandafter \XINT_mul_choice_ii \fi {#1}{#2}% }% \def\XINT_mul_choice_i #1#2% {% \ifnum #1<\numexpr\ifcase \numexpr (#2-\xint_c_iii)/\xint_c_iv\relax \or 330\or 168\or 109\or 80\or 66\or 52\else 0\fi\relax \expandafter\XINT_mul_choice_same \else \expandafter\XINT_mul_choice_permute \fi }% \def\XINT_mul_choice_ii #1#2% {% \ifnum #2<\numexpr\ifcase \numexpr (#1-\xint_c_iii)/\xint_c_iv\relax \or 330\or 168\or 109\or 80\or 66\or 52\else 0\fi\relax \expandafter\XINT_mul_choice_permute \else \expandafter\XINT_mul_choice_same \fi }% \def\XINT_mul_choice_same #1#2% {% \expandafter\XINT_mul_enter \romannumeral0\XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z \Z\Z\Z\Z #2\W\W\W\W }% \def\XINT_mul_choice_permute #1#2% {% \expandafter\XINT_mul_enter \romannumeral0\XINT_RQ {}#2\R\R\R\R\R\R\R\R\Z \Z\Z\Z\Z #1\W\W\W\W }% \def\XINT_mul_Ar #1#2#3#4#5#6% {% \xint_gob_til_Z #6\xint_mul_br\Z\XINT_mul_Br #1{#6#5#4#3}{#2}% }% \def\xint_mul_br\Z\XINT_mul_Br #1#2% {% \XINT_addr_AC_checkcarry #1% }% \def\XINT_mul_Br #1#2#3#4\W\X\Y\Z #5#6#7#8% {% \expandafter\XINT_mul_ABEAr \the\numexpr #1+10#2+#8#7#6#5.{#3}#4\W\X\Y\Z }% \def\XINT_mul_ABEAr #1#2#3#4#5#6.#7% {% \XINT_mul_Ar #2{#7#6#5#4#3}% }% \def\XINT_mul_Mr #1% {% \expandafter\XINT_mul_Mr_checkifzeroorone\expandafter{\the\numexpr #1}% }% \def\XINT_mul_Mr_checkifzeroorone #1% {% \ifcase #1 \expandafter\XINT_mul_Mr_zero \or \expandafter\XINT_mul_Mr_one \else \expandafter\XINT_mul_Nr \fi {0000}{}{#1}% }% \def\XINT_mul_Mr_zero #1\Z\Z\Z\Z { 0000}% \def\XINT_mul_Mr_one #1#2#3#4\Z\Z\Z\Z { #4}% \def\XINT_mul_Nr #1#2#3#4#5#6#7% {% \xint_gob_til_Z #4\xint_mul_pr\Z\XINT_mul_Pr {#1}{#3}{#7#6#5#4}{#2}{#3}% }% \def\XINT_mul_Pr #1#2#3% {% \expandafter\XINT_mul_Lr\the\numexpr \xint_c_x^viii+#1+#2*#3\relax }% \def\XINT_mul_Lr 1#1#2#3#4#5#6#7#8#9% {% \XINT_mul_Nr {#1#2#3#4}{#9#8#7#6#5}% }% \def\xint_mul_pr\Z\XINT_mul_Pr #1#2#3#4#5% {% \xint_gob_til_zeros_iv #1\XINT_mul_Mr_end_nocarry 0000% \XINT_mul_Mr_end_carry #1{#4}% }% \def\XINT_mul_Mr_end_nocarry 0000\XINT_mul_Mr_end_carry 0000#1{ #1}% \def\XINT_mul_Mr_end_carry #1#2#3#4#5{ #5#4#3#2#1}% \def\XINT_mul_M #1% {% \expandafter\XINT_mul_M_checkifzeroorone\expandafter{\the\numexpr #1}% }% \def\XINT_mul_M_checkifzeroorone #1% {% \ifcase #1 \expandafter\XINT_mul_M_zero \or \expandafter\XINT_mul_M_one \else \expandafter\XINT_mul_N \fi {0000}{}{#1}% }% \def\XINT_mul_M_zero #1\Z\Z\Z\Z { 0}% \def\XINT_mul_M_one #1#2#3#4\Z\Z\Z\Z {% \expandafter\xint_cleanupzeros_andstop\romannumeral0\xintreverseorder{#4}% }% \def\XINT_mul_N #1#2#3#4#5#6#7% {% \xint_gob_til_Z #4\xint_mul_p\Z\XINT_mul_P {#1}{#3}{#7#6#5#4}{#2}{#3}% }% \def\XINT_mul_P #1#2#3% {% \expandafter\XINT_mul_L\the\numexpr \xint_c_x^viii+#1+#2*#3\relax }% \def\XINT_mul_L 1#1#2#3#4#5#6#7#8#9% {% \XINT_mul_N {#1#2#3#4}{#5#6#7#8#9}% }% \def\xint_mul_p\Z\XINT_mul_P #1#2#3#4#5% {% \XINT_mul_M_end #1#4% }% \edef\XINT_mul_M_end #1#2#3#4#5#6#7#8% {% \noexpand\expandafter\space\noexpand\the\numexpr #1#2#3#4#5#6#7#8\relax }% \def\XINT_mul_enter #1\Z\Z\Z\Z #2#3#4#5% {% \xint_gob_til_W #5\XINT_mul_exit_a\W \XINT_mul_start {#2#3#4#5}#1\Z\Z\Z\Z }% \def\XINT_mul_exit_a\W\XINT_mul_start #1% {% \XINT_mul_exit_b #1% }% \def\XINT_mul_exit_b #1#2#3#4% {% \xint_gob_til_W #2\XINT_mul_exit_ci #3\XINT_mul_exit_cii \W\XINT_mul_exit_ciii #1#2#3#4% }% \def\XINT_mul_exit_ciii #1\W #2\Z\Z\Z\Z \W\W\W {% \XINT_mul_M {#1}#2\Z\Z\Z\Z }% \def\XINT_mul_exit_cii\W\XINT_mul_exit_ciii #1\W\W #2\Z\Z\Z\Z \W\W {% \XINT_mul_M {#1}#2\Z\Z\Z\Z }% \def\XINT_mul_exit_ci\W\XINT_mul_exit_cii \W\XINT_mul_exit_ciii #1\W\W\W #2\Z\Z\Z\Z \W {% \XINT_mul_M {#1}#2\Z\Z\Z\Z }% \def\XINT_mul_start #1#2\Z\Z\Z\Z {% \expandafter\XINT_mul_main\expandafter {\romannumeral0\XINT_mul_Mr {#1}#2\Z\Z\Z\Z}#2\Z\Z\Z\Z }% \def\XINT_mul_main #1#2\Z\Z\Z\Z #3#4#5#6% {% \xint_gob_til_W #6\XINT_mul_finish_a\W \XINT_mul_compute {#3#4#5#6}{#1}#2\Z\Z\Z\Z }% \def\XINT_mul_compute #1#2#3\Z\Z\Z\Z {% \expandafter\XINT_mul_main\expandafter {\romannumeral0\expandafter \XINT_mul_Ar\expandafter0\expandafter{\expandafter}% \romannumeral0\XINT_mul_Mr {#1}#3\Z\Z\Z\Z \W\X\Y\Z 0000#2\W\X\Y\Z }#3\Z\Z\Z\Z }% \def\XINT_mul_finish_a\W\XINT_mul_compute #1% {% \XINT_mul_finish_b #1% }% \def\XINT_mul_finish_b #1#2#3#4% {% \xint_gob_til_W #1\XINT_mul_finish_c #2\XINT_mul_finish_ci #3\XINT_mul_finish_cii \W\XINT_mul_finish_ciii #1#2#3#4% }% \def\XINT_mul_finish_ciii #1\W #2#3\Z\Z\Z\Z \W\W\W {% \expandafter\XINT_addm_A\expandafter0\expandafter{\expandafter}% \romannumeral0\XINT_mul_Mr {#1}#3\Z\Z\Z\Z \W\X\Y\Z 000#2\W\X\Y\Z }% \def\XINT_mul_finish_cii \W\XINT_mul_finish_ciii #1\W\W #2#3\Z\Z\Z\Z \W\W {% \expandafter\XINT_addm_A\expandafter0\expandafter{\expandafter}% \romannumeral0\XINT_mul_Mr {#1}#3\Z\Z\Z\Z \W\X\Y\Z 00#2\W\X\Y\Z }% \def\XINT_mul_finish_ci #1\XINT_mul_finish_ciii #2\W\W\W #3#4\Z\Z\Z\Z \W {% \expandafter\XINT_addm_A\expandafter0\expandafter{\expandafter}% \romannumeral0\XINT_mul_Mr {#2}#4\Z\Z\Z\Z \W\X\Y\Z 0#3\W\X\Y\Z }% \def\XINT_mul_finish_c #1\XINT_mul_finish_ciii \W\W\W\W #2#3\Z\Z\Z\Z {% \expandafter\xint_cleanupzeros_andstop\romannumeral0\xintreverseorder{#2}% }% \def\XINT_mulr_enter #1\Z\Z\Z\Z #2#3#4#5% {% \xint_gob_til_W #5\XINT_mulr_exit_a\W \XINT_mulr_start {#2#3#4#5}#1\Z\Z\Z\Z }% \def\XINT_mulr_exit_a\W\XINT_mulr_start #1% {% \XINT_mulr_exit_b #1% }% \def\XINT_mulr_exit_b #1#2#3#4% {% \xint_gob_til_W #2\XINT_mulr_exit_ci #3\XINT_mulr_exit_cii \W\XINT_mulr_exit_ciii #1#2#3#4% }% \def\XINT_mulr_exit_ciii #1\W #2\Z\Z\Z\Z \W\W\W {% \XINT_mul_Mr {#1}#2\Z\Z\Z\Z }% \def\XINT_mulr_exit_cii\W\XINT_mulr_exit_ciii #1\W\W #2\Z\Z\Z\Z \W\W {% \XINT_mul_Mr {#1}#2\Z\Z\Z\Z }% \def\XINT_mulr_exit_ci\W\XINT_mulr_exit_cii \W\XINT_mulr_exit_ciii #1\W\W\W #2\Z\Z\Z\Z \W {% \XINT_mul_Mr {#1}#2\Z\Z\Z\Z }% \def\XINT_mulr_start #1#2\Z\Z\Z\Z {% \expandafter\XINT_mulr_main\expandafter {\romannumeral0\XINT_mul_Mr {#1}#2\Z\Z\Z\Z}#2\Z\Z\Z\Z }% \def\XINT_mulr_main #1#2\Z\Z\Z\Z #3#4#5#6% {% \xint_gob_til_W #6\XINT_mulr_finish_a\W \XINT_mulr_compute {#3#4#5#6}{#1}#2\Z\Z\Z\Z }% \def\XINT_mulr_compute #1#2#3\Z\Z\Z\Z {% \expandafter\XINT_mulr_main\expandafter {\romannumeral0\expandafter \XINT_mul_Ar\expandafter0\expandafter{\expandafter}% \romannumeral0\XINT_mul_Mr {#1}#3\Z\Z\Z\Z \W\X\Y\Z 0000#2\W\X\Y\Z }#3\Z\Z\Z\Z }% \def\XINT_mulr_finish_a\W\XINT_mulr_compute #1% {% \XINT_mulr_finish_b #1% }% \def\XINT_mulr_finish_b #1#2#3#4% {% \xint_gob_til_W #1\XINT_mulr_finish_c #2\XINT_mulr_finish_ci #3\XINT_mulr_finish_cii \W\XINT_mulr_finish_ciii #1#2#3#4% }% \def\XINT_mulr_finish_ciii #1\W #2#3\Z\Z\Z\Z \W\W\W {% \expandafter\XINT_addp_A\expandafter0\expandafter{\expandafter}% \romannumeral0\XINT_mul_Mr {#1}#3\Z\Z\Z\Z \W\X\Y\Z 000#2\W\X\Y\Z }% \def\XINT_mulr_finish_cii \W\XINT_mulr_finish_ciii #1\W\W #2#3\Z\Z\Z\Z \W\W {% \expandafter\XINT_addp_A\expandafter0\expandafter{\expandafter}% \romannumeral0\XINT_mul_Mr {#1}#3\Z\Z\Z\Z \W\X\Y\Z 00#2\W\X\Y\Z }% \def\XINT_mulr_finish_ci #1\XINT_mulr_finish_ciii #2\W\W\W #3#4\Z\Z\Z\Z \W {% \expandafter\XINT_addp_A\expandafter0\expandafter{\expandafter}% \romannumeral0\XINT_mul_Mr {#2}#4\Z\Z\Z\Z \W\X\Y\Z 0#3\W\X\Y\Z }% \def\XINT_mulr_finish_c #1\XINT_mulr_finish_ciii \W\W\W\W #2#3\Z\Z\Z\Z { #2}% \def\xintiiSqr {\romannumeral0\xintiisqr }% \def\xintiisqr #1% {% \expandafter\XINT_sqr\expandafter {\romannumeral0\xintiiabs{#1}}% }% \def\xintiSqr {\romannumeral0\xintisqr }% \def\xintisqr #1% {% \expandafter\XINT_sqr\expandafter {\romannumeral0\xintiabs{#1}}% }% \let\xintSqr\xintiSqr \let\xintsqr\xintisqr \def\XINT_sqr #1% {% \expandafter\XINT_mul_enter \romannumeral0% \XINT_RQ {}#1\R\R\R\R\R\R\R\R\Z \Z\Z\Z\Z #1\W\W\W\W }% \def\xintiiPrd {\romannumeral0\xintiiprd }% \def\xintiiprd #1{\xintiiprdexpr #1\relax }% \let\xintPrd\xintiiPrd \let\xintprd\xintiiprd \def\xintiiPrdExpr {\romannumeral0\xintiiprdexpr }% \def\xintiiprdexpr {\expandafter\XINT_prdexpr\romannumeral-`0}% \let\xintPrdExpr\xintiiPrdExpr \let\xintprdexpr\xintiiprdexpr \def\XINT_prdexpr {\XINT_prod_loop_a 1\Z }% \def\XINT_prod_loop_a #1\Z #2% {\expandafter\XINT_prod_loop_b \romannumeral-`0#2\Z #1\Z \Z}% \def\XINT_prod_loop_b #1% {\xint_gob_til_relax #1\XINT_prod_finished\relax\XINT_prod_loop_c #1}% \def\XINT_prod_loop_c {\expandafter\XINT_prod_loop_a\romannumeral0\XINT_mul_fork }% \def\XINT_prod_finished #1\Z #2\Z \Z { #2}% \def\xintiFac {\romannumeral0\xintifac }% \def\xintifac #1% {% \expandafter\XINT_fac_fork\expandafter{\the\numexpr #1}% }% \let\xintFac\xintiFac \let\xintfac\xintifac \def\XINT_fac_fork #1% {% \ifcase\XINT_cntSgn #1\Z \xint_afterfi{\expandafter\space\expandafter 1\xint_gobble_i }% \or \expandafter\XINT_fac_checklength \else \xint_afterfi{\expandafter\xintError:FactorialOfNegativeNumber \expandafter\space\expandafter 1\xint_gobble_i }% \fi {#1}% }% \def\XINT_fac_checklength #1% {% \ifnum #1>100000 \xint_afterfi{\expandafter\xintError:FactorialOfTooBigNumber \expandafter\space\expandafter 1\xint_gobble_i }% \else \xint_afterfi{\ifnum #1>\xint_c_ixixixix \expandafter\XINT_fac_big_loop \else \expandafter\XINT_fac_loop \fi }% \fi {#1}% }% \def\XINT_fac_big_loop #1{\XINT_fac_big_loop_main {10000}{#1}{}}% \def\XINT_fac_big_loop_main #1#2#3% {% \ifnum #1<#2 \expandafter \XINT_fac_big_loop_main \expandafter {\the\numexpr #1+1\expandafter }% \else \expandafter\XINT_fac_big_docomputation \fi {#2}{#3{#1}}% }% \def\XINT_fac_big_docomputation #1#2% {% \expandafter \XINT_fac_bigcompute_loop \expandafter {\romannumeral0\XINT_fac_loop {9999}}#2\relax }% \def\XINT_fac_bigcompute_loop #1#2% {% \xint_gob_til_relax #2\XINT_fac_bigcompute_end\relax \expandafter\XINT_fac_bigcompute_loop\expandafter {\expandafter\XINT_mul_enter \romannumeral0\XINT_RQ {}#2\R\R\R\R\R\R\R\R\Z \Z\Z\Z\Z #1\W\W\W\W }% }% \def\XINT_fac_bigcompute_end #1#2#3#4#5% {% \XINT_fac_bigcompute_end_ #5% }% \def\XINT_fac_bigcompute_end_ #1\R #2\Z \W\X\Y\Z #3\W\X\Y\Z { #3}% \def\XINT_fac_loop #1{\XINT_fac_loop_main 1{1000}{#1}}% \def\XINT_fac_loop_main #1#2#3% {% \ifnum #3>#1 \else \expandafter\XINT_fac_loop_exit \fi \expandafter\XINT_fac_loop_main\expandafter {\the\numexpr #1+1\expandafter }\expandafter {\romannumeral0\XINT_mul_Mr {#1}#2\Z\Z\Z\Z }% {#3}% }% \def\XINT_fac_loop_exit #1#2#3#4#5#6#7% {% \XINT_fac_loop_exit_ #6% }% \def\XINT_fac_loop_exit_ #1#2#3% {% \XINT_mul_M }% \def\xintiiPow {\romannumeral0\xintiipow }% \def\xintiipow #1% {% \expandafter\xint_pow\romannumeral-`0#1\Z% }% \def\xintiPow {\romannumeral0\xintipow }% \def\xintipow #1% {% \expandafter\xint_pow\romannumeral0\xintnum{#1}\Z% }% \let\xintPow\xintiPow \let\xintpow\xintipow \def\xint_pow #1#2\Z {% \xint_UDsignfork #1\XINT_pow_Aneg -\XINT_pow_Anonneg \krof #1{#2}% }% \def\XINT_pow_Aneg #1#2#3% {% \expandafter\XINT_pow_Aneg_\expandafter{\the\numexpr #3}{#2}% }% \def\XINT_pow_Aneg_ #1% {% \ifodd #1 \expandafter\XINT_pow_Aneg_Bodd \fi \XINT_pow_Anonneg_ {#1}% }% \def\XINT_pow_Aneg_Bodd #1% {% \expandafter\XINT_opp\romannumeral0\XINT_pow_Anonneg_ }% \def\XINT_pow_Anonneg #1#2#3% {% \expandafter\XINT_pow_Anonneg_\expandafter {\the\numexpr #3}{#1#2}% }% \def\XINT_pow_Anonneg_ #1#2% {% \ifcase\XINT_Cmp {#2}{1} \expandafter\XINT_pow_AisOne \or \expandafter\XINT_pow_AatleastTwo \else \expandafter\XINT_pow_AisZero \fi {#1}{#2}% }% \def\XINT_pow_AisOne #1#2{ 1}% \def\XINT_pow_AisZero #1#2% {% \ifcase\XINT_cntSgn #1\Z \xint_afterfi { 1}% \or \xint_afterfi { 0}% \else \xint_afterfi {\xintError:DivisionByZero\space 0}% \fi }% \def\XINT_pow_AatleastTwo #1% {% \ifcase\XINT_cntSgn #1\Z \expandafter\XINT_pow_BisZero \or \expandafter\XINT_pow_checkBsize \else \expandafter\XINT_pow_BisNegative \fi {#1}% }% \edef\XINT_pow_BisNegative #1#2% {\noexpand\xintError:FractionRoundedToZero\space 0}% \def\XINT_pow_BisZero #1#2{ 1}% \def\XINT_pow_checkBsize #1% {% \ifnum #1>100000 \expandafter\XINT_pow_BtooBig \else \expandafter\XINT_pow_loopI \fi {#1}% }% \edef\XINT_pow_BtooBig #1#2{\noexpand\xintError:ExponentTooBig\space 0}% \def\XINT_pow_loopI #1% {% \ifnum #1=\xint_c_i\XINT_pow_Iend\fi \ifodd #1 \expandafter\XINT_pow_loopI_odd \else \expandafter\XINT_pow_loopI_even \fi {#1}% }% \edef\XINT_pow_Iend\fi #1\fi #2#3{\noexpand\fi\space #3}% \def\XINT_pow_loopI_even #1#2% {% \expandafter\XINT_pow_loopI\expandafter {\the\numexpr #1/\xint_c_ii\expandafter}\expandafter {\romannumeral0\xintiisqr {#2}}% }% \def\XINT_pow_loopI_odd #1#2% {% \expandafter\XINT_pow_loopI_odda\expandafter {\romannumeral0\XINT_RQ {}#2\R\R\R\R\R\R\R\R\Z }{#1}{#2}% }% \def\XINT_pow_loopI_odda #1#2#3% {% \expandafter\XINT_pow_loopII\expandafter {\the\numexpr #2/\xint_c_ii-\xint_c_i\expandafter}\expandafter {\romannumeral0\xintiisqr {#3}}{#1}% }% \def\XINT_pow_loopII #1% {% \ifnum #1 = \xint_c_i\XINT_pow_IIend\fi \ifodd #1 \expandafter\XINT_pow_loopII_odd \else \expandafter\XINT_pow_loopII_even \fi {#1}% }% \def\XINT_pow_loopII_even #1#2% {% \expandafter\XINT_pow_loopII\expandafter {\the\numexpr #1/\xint_c_ii\expandafter}\expandafter {\romannumeral0\xintiisqr {#2}}% }% \def\XINT_pow_loopII_odd #1#2#3% {% \expandafter\XINT_pow_loopII_odda\expandafter {\romannumeral0\XINT_mulr_enter #3\Z\Z\Z\Z #2\W\W\W\W}{#1}{#2}% }% \def\XINT_pow_loopII_odda #1#2#3% {% \expandafter\XINT_pow_loopII\expandafter {\the\numexpr #2/\xint_c_ii-\xint_c_i\expandafter}\expandafter {\romannumeral0\xintiisqr {#3}}{#1}% }% \def\XINT_pow_IIend\fi #1\fi #2#3#4% {% \fi\XINT_mul_enter #4\Z\Z\Z\Z #3\W\W\W\W }% \def\xintiiQuo {\romannumeral0\xintiiquo }% \def\xintiiRem {\romannumeral0\xintiirem }% \def\xintiiquo {\expandafter\xint_firstoftwo_thenstop \romannumeral0\xintiidivision }% \def\xintiirem {\expandafter\xint_secondoftwo_thenstop \romannumeral0\xintiidivision }% \def\xintQuo {\romannumeral0\xintquo }% \def\xintRem {\romannumeral0\xintrem }% \def\xintquo {\expandafter\xint_firstoftwo_thenstop \romannumeral0\xintdivision }% \def\xintrem {\expandafter\xint_secondoftwo_thenstop \romannumeral0\xintdivision }% \def\xintiiDivision {\romannumeral0\xintiidivision }% \def\xintiidivision #1% {% \expandafter\xint_iidivision\expandafter {\romannumeral-`0#1}% }% \def\xint_iidivision #1#2% {% \expandafter\XINT_div_fork \romannumeral-`0#2\Z #1\Z }% \def\xintDivision {\romannumeral0\xintdivision }% \def\xintdivision #1% {% \expandafter\xint_division\expandafter {\romannumeral0\xintnum{#1}}% }% \def\xint_division #1#2% {% \expandafter\XINT_div_fork \romannumeral0\xintnum{#2}\Z #1\Z }% \def\XINT_div_fork #1#2\Z #3#4\Z {% \xint_UDzerofork #1\XINT_div_BisZero #3\XINT_div_AisZero 0{\xint_UDsignfork #1\XINT_div_BisNegative % B < 0 #3\XINT_div_AisNegative % A < 0, B > 0 -\XINT_div_plusplus % B > 0, A > 0 \krof }% \krof {#2}{#4}#1#3% #1#2=B, #3#4=A }% \edef\XINT_div_BisZero #1#2#3#4{\noexpand\xintError:DivisionByZero\space {0}{0}}% \def\XINT_div_AisZero #1#2#3#4{ {0}{0}}% \def\XINT_div_plusplus #1#2#3#4{\XINT_div_prepare {#3#1}{#4#2}}% \def\XINT_div_BisNegative #1#2#3#4% {% \expandafter\XINT_div_BisNegative_b \romannumeral0\XINT_div_fork #1\Z #4#2\Z }% \edef\XINT_div_BisNegative_b #1% {% \noexpand\expandafter\space\noexpand\expandafter {\noexpand\romannumeral0\noexpand\XINT_opp #1}% }% \def\XINT_div_AisNegative #1#2#3#4% {% \expandafter\XINT_div_AisNegative_b \romannumeral0\XINT_div_prepare {#3#1}{#2}{#3#1}% }% \def\XINT_div_AisNegative_b #1#2% {% \if0\XINT_Sgn #2\Z \expandafter \XINT_div_AisNegative_Rzero \else \expandafter \XINT_div_AisNegative_Rpositive \fi {#1}{#2}% }% \edef\XINT_div_AisNegative_Rzero #1#2#3% {% \noexpand\expandafter\space\noexpand\expandafter {\noexpand\romannumeral0\noexpand\XINT_opp #1}{0}% }% \def\XINT_div_AisNegative_Rpositive #1% {% \expandafter \XINT_div_AisNegative_Rpositive_b \expandafter {\romannumeral0\xintiiopp{\xintInc {#1}}}% }% \def\XINT_div_AisNegative_Rpositive_b #1#2#3% {% \expandafter \xint_exchangetwo_keepbraces_thenstop \expandafter {\romannumeral0\XINT_sub {#3}{#2}}{#1}% }% \def\XINT_div_prepare #1% {% \expandafter \XINT_div_prepareB_aa \expandafter {\romannumeral0\xintlength {#1}}{#1}% B > 0 ici }% \def\XINT_div_prepareB_aa #1% {% \ifnum #1=\xint_c_i \expandafter\XINT_div_prepareB_onedigit \else \expandafter\XINT_div_prepareB_a \fi {#1}% }% \def\XINT_div_prepareB_a #1% {% \expandafter\XINT_div_prepareB_c\expandafter {\the\numexpr \xint_c_iv*((#1+\xint_c_i)/\xint_c_iv)}{#1}% }% \def\XINT_div_prepareB_onedigit #1#2% {% \ifcase#2 \or\expandafter\XINT_div_BisOne \or\expandafter\XINT_div_BisTwo \else\expandafter\XINT_div_prepareB_e \fi {000}{0}{4}{#2}% }% \def\XINT_div_BisOne #1#2#3#4#5{ {#5}{0}}% \def\XINT_div_BisTwo #1#2#3#4#5% {% \expandafter\expandafter\expandafter\XINT_div_BisTwo_a \ifodd\xintiiLDg{#5} \expandafter1\else \expandafter0\fi {#5}% }% \edef\XINT_div_BisTwo_a #1#2% {% \noexpand\expandafter\space\noexpand\expandafter {\noexpand\romannumeral0\noexpand\xinthalf {#2}}{#1}% }% \def\XINT_div_prepareB_c #1#2% {% \csname XINT_div_prepareB_d\romannumeral\numexpr#1-#2\endcsname {#1}% }% \def\XINT_div_prepareB_d {\XINT_div_prepareB_e {}{0000}}% \def\XINT_div_prepareB_di {\XINT_div_prepareB_e {0}{000}}% \def\XINT_div_prepareB_dii {\XINT_div_prepareB_e {00}{00}}% \def\XINT_div_prepareB_diii {\XINT_div_prepareB_e {000}{0}}% \def\XINT_div_cleanR #10000.{{#1}}% \def\XINT_div_prepareB_e #1#2#3#4% {% \ifnum#3=\xint_c_iv\expandafter\XINT_div_prepareLittleB_f \else\expandafter\XINT_div_prepareB_f \fi #4#1{#3}{#2}{#1}% }% \def\XINT_div_prepareB_f #1#2#3#4#5#{% \expandafter\XINT_div_prepareB_g \the\numexpr #1#2#3#4+\xint_c_i\expandafter .\the\numexpr (#1#2#3#4+\xint_c_i)/\xint_c_ii\expandafter .\romannumeral0\xintreverseorder {#1#2#3#4#5}.{#1#2#3#4}% }% \def\XINT_div_prepareLittleB_f #1#{% \expandafter\XINT_div_prepareB_g \the\numexpr #1/\xint_c_ii.{}.{}.{#1}% }% \def\XINT_div_prepareB_g #1.#2.#3.#4#5#6#7#8% {% \XINT_div_prepareA_a {#8#7}{#5}{{#1}{#2}{#4}}{#3}{#6}% }% \def\XINT_div_prepareA_a #1% {% \expandafter\XINT_div_prepareA_b\expandafter {\romannumeral0\xintlength {#1}}{#1}% }% \def\XINT_div_prepareA_b #1% {% \expandafter\XINT_div_prepareA_c\expandafter {\the\numexpr \xint_c_iv*((#1+\xint_c_i)/\xint_c_iv)}{#1}% }% \def\XINT_div_prepareA_c #1#2% {% \csname XINT_div_prepareA_d\romannumeral\numexpr #1-#2\endcsname {#1}% }% \def\XINT_div_prepareA_d {\XINT_div_prepareA_e {}}% \def\XINT_div_prepareA_di {\XINT_div_prepareA_e {0}}% \def\XINT_div_prepareA_dii {\XINT_div_prepareA_e {00}}% \def\XINT_div_prepareA_diii {\XINT_div_prepareA_e {000}}% \def\XINT_div_prepareA_e #1#2#3#4#5% {% \XINT_div_start_a {#2}{#4}{#1#3}#5% }% \def\XINT_div_start_a #1#2% {% \ifnum #2=\xint_c_iv \expandafter\XINT_div_little_b \else \ifnum #1 < #2 \expandafter\expandafter\expandafter\XINT_div_III_aa \else \expandafter\expandafter\expandafter\XINT_div_start_b \fi \fi {#1}{#2}% }% \def\XINT_div_III_aa #1#2#3#4#5#6#7% {% \expandafter\expandafter\expandafter \XINT_div_III_b\xint_cleanupzeros_nostop #3.{0000}% }% \def\XINT_div_III_b #1% {% \if0#1% \expandafter\XINT_div_III_bRzero \else \expandafter\XINT_div_III_bRpos \fi #1% }% \def\XINT_div_III_bRzero 0.#1#2% {% \expandafter\space\expandafter {\romannumeral0\XINT_cuz_loop #1\W\W\W\W\W\W\W\Z}{0}% }% \def\XINT_div_III_bRpos #1.#2#3% {% \expandafter\XINT_div_III_c \XINT_div_cleanR #1#3.{#2}% }% \def\XINT_div_III_c #1#2% {% \expandafter\space\expandafter {\romannumeral0\XINT_cuz_loop #2\W\W\W\W\W\W\W\Z}{#1}% }% \def\XINT_div_start_b #1#2#3#4#5#6% {% \XINT_div_start_c {#2}.#3.{#6}{{#1}{#2}{{#4}{#5}}{#6}}% }% \def\XINT_div_start_c #1#2.#3#4#5#6% {% \ifnum #1=\xint_c_iv\XINT_div_start_ca\fi \expandafter\XINT_div_start_c\expandafter {\the\numexpr #1-\xint_c_iv}#2#3#4#5#6.% }% \def\XINT_div_start_ca\fi\expandafter\XINT_div_start_c\expandafter #1#2#3#4#5{\fi\XINT_div_start_d {#2#3#4#5}#2#3#4#5}% \def\XINT_div_start_d #1#2.#3.#4#5#6% {% \XINT_div_I_a {#1}{#4}{#2}{#6}{0000}#5{#3}{#6}{}% }% \def\XINT_div_I_a #1#2% {% \expandafter\XINT_div_I_b\the\numexpr #1/#2.{#1}{#2}% }% \def\XINT_div_I_b #1% {% \xint_gob_til_zero #1\XINT_div_I_czero 0\XINT_div_I_c #1% }% \def\XINT_div_I_czero 0% \XINT_div_I_c 0.#1#2#3#4#5{\XINT_div_I_g {#5}{#3}}% \def\XINT_div_I_c #1.#2#3% {% \expandafter\XINT_div_I_da\the\numexpr #2-#1*#3.#1.% }% \def\XINT_div_I_da #1.% {% \ifnum #1>\xint_c_ix \expandafter\XINT_div_I_dP \else \ifnum #1<\xint_c_ \expandafter\expandafter\expandafter\XINT_div_I_dN \else \expandafter\expandafter\expandafter\XINT_div_I_db \fi \fi }% \def\XINT_div_I_dN #1.% {% \expandafter\XINT_div_I_dP\the\numexpr #1-\xint_c_i.% }% \def\XINT_div_I_db #1.#2#3% #1=q=un chiffre, #2=alpha, #3=B {% \expandafter\XINT_div_I_dc\expandafter {\romannumeral0\expandafter\XINT_div_sub_xpxp\expandafter {\romannumeral0\xintreverseorder{#2}}% {\romannumeral0\XINT_mul_Mr {#1}#3\Z\Z\Z\Z }}% #1{#2}{#3}% }% \def\XINT_div_I_dc #1#2% {% \if-#1% s'arranger pour que si n^^e9gatif on ait renvoy^^e9 alpha=-. \expandafter\xint_firstoftwo \else\expandafter\xint_secondoftwo\fi {\expandafter\XINT_div_I_dP\the\numexpr #2-\xint_c_i.}% {\XINT_div_I_e {#1}#2}% }% \def\XINT_div_I_e #1#2#3#4#5% {% \expandafter\XINT_div_I_f \the\numexpr \xint_c_x^iv+#2+#5{#1}% }% \def\XINT_div_I_dP #1.#2#3#4% {% \expandafter \XINT_div_I_f \the\numexpr \xint_c_x^iv+#1+#4\expandafter {\romannumeral0\expandafter\XINT_div_sub_xpxp\expandafter {\romannumeral0\xintreverseorder{#2}}% {\romannumeral0\XINT_mul_Mr {#1}#3\Z\Z\Z\Z }}% }% \def\XINT_div_I_f 1#1#2#3#4{\XINT_div_I_g {#1#2#3#4}}% \def\XINT_div_I_g #1#2#3#4#5#6#7#8#9% {% \ifnum#3=#4 \expandafter\XINT_div_III_ab \else \expandafter\XINT_div_I_h \fi {#5}#2.#7.{{#5}{#6}{#4}{#3}}{#8}{#9#1}% }% \def\XINT_div_III_ab #1#2.#3.#4#5% {% \expandafter\XINT_div_III_b \romannumeral0\XINT_cuz_loop #2#3\W\W\W\W\W\W\W\Z.% }% \def\XINT_div_I_h #1.#2#3#4#5#6.#7#8% {% \XINT_div_II_b #1#2#3#4#5.{#8}{#7}{#6}{#8}% }% \def\XINT_div_II_b #1#2#3#4#5#6#7#8#9% {% \xint_gob_til_zeros_iv #2#3#4#5\XINT_div_II_skipc 0000% \XINT_div_II_c #1{#2#3#4#5}{#6#7#8#9}% }% \def\XINT_div_II_skipc 0000\XINT_div_II_c #1#2#3#4#5.#6#7% {% \XINT_div_II_k #7{#4#5}{#6}{0000}% }% \def\XINT_div_II_c #1#2#3#4% {% \expandafter\XINT_div_II_d\the\numexpr (#3#4+#2)/#1+\xint_c_ixixixix\relax {#1}{#2}#3#4% }% \def\XINT_div_II_d 1#1#2#3#4#5#6#7.#8% {% \expandafter\XINT_div_II_e \romannumeral0\expandafter\XINT_div_sub_xpxp\expandafter {\romannumeral0\xintreverseorder{#7}}% {\romannumeral0\XINT_mul_Mr {#1#2#3#4}#8\Z\Z\Z\Z }.% {#5}{#6}{#8}{#1#2#3#4}% }% \def\XINT_div_II_e #1#2#3#4% {% \xint_gob_til_zeros_iv #1#2#3#4\XINT_div_II_skipf 0000% \XINT_div_II_f #1#2#3#4% }% \def\XINT_div_II_skipf 0000\XINT_div_II_f 0000#1.#2#3#4#5#6% {% \XINT_div_II_k #6{#1}{#4}{#5}% }% \def\XINT_div_II_f #1#2#3#4#5#6#7#8#9.% {% \XINT_div_II_fa {#1#2#3#4#5#6#7#8}{#1#2#3#4#5#6#7#8#9}% }% \def\XINT_div_II_fa #1#2#3#4% {% \expandafter\XINT_div_II_g\expandafter {\the\numexpr (#1+#4)/#3-\xint_c_i}{#2}% }% \def\XINT_div_II_g #1#2#3#4% {% \expandafter \XINT_div_II_h \the\numexpr #4+#1+\xint_c_x^iv\expandafter\expandafter\expandafter {\expandafter\xint_gobble_iv \romannumeral0\expandafter\XINT_div_sub_xpxp\expandafter {\romannumeral0\xintreverseorder{#2}}% {\romannumeral0\XINT_mul_Mr {#1}#3\Z\Z\Z\Z }}{#3}% }% \def\XINT_div_II_h 1#1#2#3#4#5#6#7% {% \XINT_div_II_k #7{#5}{#6}{#1#2#3#4}% }% \def\XINT_div_II_k #1#2#3#4#5% {% \expandafter\XINT_div_II_l \the\numexpr #4-\xint_c_iv.{#3}#1{#2}#5.% }% \def\XINT_div_II_l #1.#2#3#4#5#6#7#8#9% {% \XINT_div_II_m {{#1}{#2}{{#3}{#4}}{#5}}{#5}{#6#7#8#9}#6#7#8#9% }% \def\XINT_div_II_m #1#2#3#4.#5#6% {% \XINT_div_I_a {#3}{#2}{#4}{#5}{#6}#1% }% \def\XINT_div_little_b #1#2#3#4#5#6#7% {% \XINT_div_little_c #3.{{#4}{#6}}{#1}% }% \def\XINT_div_little_c #1#2#3#4#5.#6#7% {% \XINT_div_littleI_a {#1#2#3#4}#6{#7}{#5}% }% \def\XINT_div_littleI_a #1#2#3% {% \expandafter\XINT_div_littleI_b \the\numexpr (#1+#2)/#3-\xint_c_i{#1}{#2}{#3}% }% \def\XINT_div_littleI_b #1% {% \xint_gob_til_zero #1\XINT_div_littleI_skip 0\XINT_div_littleI_c #1% }% \def\XINT_div_littleI_skip 0\XINT_div_littleI_c 0#1#2#3#4#5% {\XINT_div_littleII_a {#4}{#1}#5.{{#2}{#3}}{0000}}% \def\XINT_div_littleI_c #1#2#3#4% {% \expandafter\expandafter\expandafter\XINT_div_littleI_e \expandafter\expandafter\expandafter {\expandafter\xint_gobble_i\the\numexpr \xint_c_x^iv+#2-#1*#4}#1{{#3}{#4}}% }% \def\XINT_div_littleI_e #1#2#3#4#5% {\XINT_div_littleII_a {#4}{#1}#5.{#3}{000#2}}% \def\XINT_div_littleII_a #1% {% \ifnum#1=\xint_c_iv \expandafter\XINT_div_littleIII_ab \else \expandafter\XINT_div_littleII_b \fi {#1}% }% \def\XINT_div_littleIII_ab #1#2#3.#4% {% \expandafter\XINT_div_III_b\the\numexpr #2#3.% }% \def\XINT_div_littleII_b #1% {% \expandafter\XINT_div_littleII_c\expandafter {\the\numexpr #1-\xint_c_iv}% }% \def\XINT_div_littleII_c #1#2#3#4#5#6#7.#8% {% \XINT_div_littleII_d {#2#3#4#5#6}#8{#1}{#7}% }% \def\XINT_div_littleII_d #1#2#3% {% \expandafter\XINT_div_littleII_e\the\numexpr (#1+#2)/#3+\xint_c_ixixixix.% {#1}{#2}{#3}% }% \def\XINT_div_littleII_e 1#1.#2#3#4% {% \expandafter\expandafter\expandafter\XINT_div_littleII_f \expandafter\xint_gobble_i\the\numexpr \xint_c_x^iv+#2-#1*#4.% {#1}{{#3}{#4}}% }% \def\XINT_div_littleII_f #1.#2#3#4#5#6% {% \XINT_div_littleII_a {#4}{#1}#5.{#3}{#6#2}% }% \def\XINT_div_sub_xpxp #1#2% #1=alpha d^^e9j^^e0 renvers^^e9, #2 se d^^e9veloppe en qB {% \expandafter\XINT_div_sub_xpxp_b #2\W\X\Y\Z #1\W\X\Y\Z }% \def\XINT_div_sub_xpxp_b {% \XINT_div_sub_A 1{}% }% \def\XINT_div_sub_A #1#2#3#4#5#6% {% \xint_gob_til_W #3\xint_div_sub_az\W \XINT_div_sub_B #1{#3#4#5#6}{#2}% }% \def\XINT_div_sub_B #1#2#3#4\W\X\Y\Z #5#6#7#8% {% \xint_gob_til_W #5\xint_div_sub_bz\W \XINT_div_sub_onestep #1#2{#8#7#6#5}{#3}#4\W\X\Y\Z }% \def\XINT_div_sub_onestep #1#2#3#4#5#6% {% \expandafter\XINT_div_sub_backtoA \the\numexpr 11#6-#5#4#3#2+#1-\xint_c_i.% }% \def\XINT_div_sub_backtoA #1#2#3.#4% {% \XINT_div_sub_A #2{#3#4}% }% \def\xint_div_sub_bz\W\XINT_div_sub_onestep #1\Z { -}% \def\xint_div_sub_az\W\XINT_div_sub_B #1#2{\XINT_div_sub_C #1}% \def\XINT_div_sub_C #1#2#3#4#5#6% {% \xint_gob_til_W #3\xint_div_sub_cz\W \XINT_div_sub_C_onestep #1{#6#5#4#3}{#2}% }% \def\XINT_div_sub_C_onestep #1#2% {% \expandafter\XINT_div_sub_backtoC \the\numexpr 11#2+#1-\xint_c_i.% }% \def\XINT_div_sub_backtoC #1#2#3.#4% {% \XINT_div_sub_C #2{#3#4}% }% \def\xint_div_sub_cz\W\XINT_div_sub_C_onestep #1#2% {% \if#10% retenue \expandafter\xint_div_sub_neg \else\expandafter\xint_div_sub_ok \fi }% \def\xint_div_sub_neg #1{ -}% \def\xint_div_sub_ok #1{ #1}% \def\xintiiFDg {\romannumeral0\xintiifdg }% \def\xintiifdg #1% {% \expandafter\XINT_fdg \romannumeral-`0#1\W\Z }% \def\xintFDg {\romannumeral0\xintfdg }% \def\xintfdg #1% {% \expandafter\XINT_fdg \romannumeral0\xintnum{#1}\W\Z }% \def\XINT_FDg #1{\romannumeral0\XINT_fdg #1\W\Z }% \def\XINT_fdg #1#2#3\Z {% \xint_UDzerominusfork #1-{ 0}% zero 0#1{ #2}% negative 0-{ #1}% positive \krof }% \def\xintiiLDg {\romannumeral0\xintiildg }% \def\xintiildg #1% {% \expandafter\XINT_ldg\expandafter {\romannumeral-`0#1}% }% \def\xintLDg {\romannumeral0\xintldg }% \def\xintldg #1% {% \expandafter\XINT_ldg\expandafter {\romannumeral0\xintnum{#1}}% }% \def\XINT_LDg #1{\romannumeral0\XINT_ldg {#1}}% \def\XINT_ldg #1% {% \expandafter\XINT_ldg_\romannumeral0\xintreverseorder {#1}\Z }% \def\XINT_ldg_ #1#2\Z{ #1}% \def\xintiiMON {\romannumeral0\xintiimon }% \def\xintiimon #1% {% \ifodd\xintiiLDg {#1} \xint_afterfi{ -1}% \else \xint_afterfi{ 1}% \fi }% \def\xintiiMMON {\romannumeral0\xintiimmon }% \def\xintiimmon #1% {% \ifodd\xintiiLDg {#1} \xint_afterfi{ 1}% \else \xint_afterfi{ -1}% \fi }% \def\xintMON {\romannumeral0\xintmon }% \def\xintmon #1% {% \ifodd\xintLDg {#1} \xint_afterfi{ -1}% \else \xint_afterfi{ 1}% \fi }% \def\xintMMON {\romannumeral0\xintmmon }% \def\xintmmon #1% {% \ifodd\xintLDg {#1} \xint_afterfi{ 1}% \else \xint_afterfi{ -1}% \fi }% \def\xintiiOdd {\romannumeral0\xintiiodd }% \def\xintiiodd #1% {% \ifodd\xintiiLDg{#1} \xint_afterfi{ 1}% \else \xint_afterfi{ 0}% \fi }% \def\xintOdd {\romannumeral0\xintodd }% \def\xintodd #1% {% \ifodd\xintLDg{#1} \xint_afterfi{ 1}% \else \xint_afterfi{ 0}% \fi }% \def\xintDSL {\romannumeral0\xintdsl }% \def\xintdsl #1% {% \expandafter\XINT_dsl \romannumeral-`0#1\Z }% \def\XINT_DSL #1{\romannumeral0\XINT_dsl #1\Z }% \def\XINT_dsl #1% {% \xint_gob_til_zero #1\xint_dsl_zero 0\XINT_dsl_ #1% }% \def\xint_dsl_zero 0\XINT_dsl_ 0#1\Z { 0}% \def\XINT_dsl_ #1\Z { #10}% \def\xintDSR {\romannumeral0\xintdsr }% \def\xintdsr #1% {% \expandafter\XINT_dsr_a\expandafter {\romannumeral-`0#1}\W\Z }% \def\XINT_DSR #1{\romannumeral0\XINT_dsr_a {#1}\W\Z }% \def\XINT_dsr_a {% \expandafter\XINT_dsr_b\romannumeral0\xintreverseorder }% \def\XINT_dsr_b #1#2#3\Z {% \xint_gob_til_W #2\xint_dsr_onedigit\W \xint_gob_til_minus #2\xint_dsr_onedigit-% \expandafter\XINT_dsr_removew \romannumeral0\xintreverseorder {#2#3}% }% \def\xint_dsr_onedigit #1\xintreverseorder #2{ 0}% \def\XINT_dsr_removew #1\W { }% \def\xintDSHr {\romannumeral0\xintdshr }% \def\xintdshr #1% {% \expandafter\XINT_dshr_checkxpositive \the\numexpr #1\relax\Z }% \def\XINT_dshr_checkxpositive #1% {% \xint_UDzerominusfork 0#1\XINT_dshr_xzeroorneg #1-\XINT_dshr_xzeroorneg 0-\XINT_dshr_xpositive \krof #1% }% \def\XINT_dshr_xzeroorneg #1\Z #2{ 0}% \def\XINT_dshr_xpositive #1\Z {% \expandafter\xint_secondoftwo_thenstop\romannumeral0\xintdsx {#1}% }% \def\xintDSH {\romannumeral0\xintdsh }% \def\xintdsh #1#2% {% \expandafter\xint_dsh\expandafter {\romannumeral-`0#2}{#1}% }% \def\xint_dsh #1#2% {% \expandafter\XINT_dsh_checksignx \the\numexpr #2\relax\Z {#1}% }% \def\XINT_dsh_checksignx #1% {% \xint_UDzerominusfork #1-\XINT_dsh_xiszero 0#1\XINT_dsx_xisNeg_checkA % on passe direct dans DSx 0-{\XINT_dsh_xisPos #1}% \krof }% \def\XINT_dsh_xiszero #1\Z #2{ #2}% \def\XINT_dsh_xisPos #1\Z #2% {% \expandafter\xint_firstoftwo_thenstop \romannumeral0\XINT_dsx_checksignA #2\Z {#1}% via DSx }% \def\xintDSx {\romannumeral0\xintdsx }% \def\xintdsx #1#2% {% \expandafter\xint_dsx\expandafter {\romannumeral-`0#2}{#1}% }% \def\xint_dsx #1#2% {% \expandafter\XINT_dsx_checksignx \the\numexpr #2\relax\Z {#1}% }% \def\XINT_DSx #1#2{\romannumeral0\XINT_dsx_checksignx #1\Z {#2}}% \def\XINT_dsx #1#2{\XINT_dsx_checksignx #1\Z {#2}}% \def\XINT_dsx_checksignx #1% {% \xint_UDzerominusfork #1-\XINT_dsx_xisZero 0#1\XINT_dsx_xisNeg_checkA 0-{\XINT_dsx_xisPos #1}% \krof }% \def\XINT_dsx_xisZero #1\Z #2{ {#2}{0}}% attention comme x > 0 \def\XINT_dsx_xisNeg_checkA #1\Z #2% {% \XINT_dsx_xisNeg_checkA_ #2\Z {#1}% }% \def\XINT_dsx_xisNeg_checkA_ #1#2\Z #3% {% \xint_gob_til_zero #1\XINT_dsx_xisNeg_Azero 0% \XINT_dsx_xisNeg_checkx {#3}{#3}{}\Z {#1#2}% }% \def\XINT_dsx_xisNeg_Azero #1\Z #2{ 0}% \def\XINT_dsx_xisNeg_checkx #1% {% \ifnum #1>1000000 \xint_afterfi {\xintError:TooBigDecimalShift \expandafter\space\expandafter 0\xint_gobble_iv }% \else \expandafter \XINT_dsx_zeroloop \fi }% \def\XINT_dsx_addzerosnofuss #1{\XINT_dsx_zeroloop {#1}{}\Z }% \def\XINT_dsx_zeroloop #1#2% {% \ifnum #1<\xint_c_ix \XINT_dsx_exita\fi \expandafter\XINT_dsx_zeroloop\expandafter {\the\numexpr #1-\xint_c_viii}{#200000000}% }% \def\XINT_dsx_exita\fi\expandafter\XINT_dsx_zeroloop {% \fi\expandafter\XINT_dsx_exitb }% \def\XINT_dsx_exitb #1#2% {% \expandafter\expandafter\expandafter \XINT_dsx_addzeros\csname xint_gobble_\romannumeral -#1\endcsname #2% }% \def\XINT_dsx_addzeros #1\Z #2{ #2#1}% \def\XINT_dsx_xisPos #1\Z #2% {% \XINT_dsx_checksignA #2\Z {#1}% }% \def\XINT_dsx_checksignA #1% {% \xint_UDzerominusfork #1-\XINT_dsx_AisZero 0#1\XINT_dsx_AisNeg 0-{\XINT_dsx_AisPos #1}% \krof }% \def\XINT_dsx_AisZero #1\Z #2{ {0}{0}}% \def\XINT_dsx_AisNeg #1\Z #2% {% \expandafter\XINT_dsx_AisNeg_dosplit_andcheckfirst \romannumeral0\XINT_split_checksizex {#2}{#1}% }% \def\XINT_dsx_AisNeg_dosplit_andcheckfirst #1% {% \XINT_dsx_AisNeg_checkiffirstempty #1\Z }% \def\XINT_dsx_AisNeg_checkiffirstempty #1% {% \xint_gob_til_Z #1\XINT_dsx_AisNeg_finish_zero\Z \XINT_dsx_AisNeg_finish_notzero #1% }% \def\XINT_dsx_AisNeg_finish_zero\Z \XINT_dsx_AisNeg_finish_notzero\Z #1% {% \expandafter\XINT_dsx_end \expandafter {\romannumeral0\XINT_num {-#1}}{0}% }% \def\XINT_dsx_AisNeg_finish_notzero #1\Z #2% {% \expandafter\XINT_dsx_end \expandafter {\romannumeral0\XINT_num {#2}}{-#1}% }% \def\XINT_dsx_AisPos #1\Z #2% {% \expandafter\XINT_dsx_AisPos_finish \romannumeral0\XINT_split_checksizex {#2}{#1}% }% \def\XINT_dsx_AisPos_finish #1#2% {% \expandafter\XINT_dsx_end \expandafter {\romannumeral0\XINT_num {#2}}% {\romannumeral0\XINT_num {#1}}% }% \edef\XINT_dsx_end #1#2% {% \noexpand\expandafter\space\noexpand\expandafter{#2}{#1}% }% \def\xintDecSplitL {\romannumeral0\xintdecsplitl }% \def\xintDecSplitR {\romannumeral0\xintdecsplitr }% \def\xintdecsplitl {% \expandafter\xint_firstoftwo_thenstop \romannumeral0\xintdecsplit }% \def\xintdecsplitr {% \expandafter\xint_secondoftwo_thenstop \romannumeral0\xintdecsplit }% \def\xintDecSplit {\romannumeral0\xintdecsplit }% \def\xintdecsplit #1#2% {% \expandafter \xint_split \expandafter {\romannumeral0\xintiiabs {#2}}{#1}% fait expansion de A }% \def\xint_split #1#2% {% \expandafter\XINT_split_checksizex\expandafter{\the\numexpr #2}{#1}% }% \def\XINT_split_checksizex #1% 999999999 is anyhow very big, could be reduced {% \ifnum\numexpr\XINT_Abs{#1}>999999999 \xint_afterfi {\xintError:TooBigDecimalSplit\XINT_split_bigx }% \else \expandafter\XINT_split_xfork \fi #1\Z }% \def\XINT_split_bigx #1\Z #2% {% \ifcase\XINT_cntSgn #1\Z \or \xint_afterfi { {}{#2}}% positive big x \else \xint_afterfi { {#2}{}}% negative big x \fi }% \def\XINT_split_xfork #1% {% \xint_UDzerominusfork #1-\XINT_split_zerosplit 0#1\XINT_split_fromleft 0-{\XINT_split_fromright #1}% \krof }% \def\XINT_split_zerosplit #1\Z #2{ {#2}{}}% \def\XINT_split_fromleft #1\Z #2% {% \XINT_split_fromleft_loop {#1}{}#2\W\W\W\W\W\W\W\W\Z }% \def\XINT_split_fromleft_loop #1% {% \ifnum #1<\xint_c_viii\XINT_split_fromleft_exita\fi \expandafter\XINT_split_fromleft_loop_perhaps\expandafter {\the\numexpr #1-\xint_c_viii\expandafter}\XINT_split_fromleft_eight }% \def\XINT_split_fromleft_eight #1#2#3#4#5#6#7#8#9{#9{#1#2#3#4#5#6#7#8#9}}% \def\XINT_split_fromleft_loop_perhaps #1#2% {% \xint_gob_til_W #2\XINT_split_fromleft_toofar\W \XINT_split_fromleft_loop {#1}% }% \def\XINT_split_fromleft_toofar\W\XINT_split_fromleft_loop #1#2#3\Z {% \XINT_split_fromleft_toofar_b #2\Z }% \def\XINT_split_fromleft_toofar_b #1\W #2\Z { {#1}{}}% \def\XINT_split_fromleft_exita\fi \expandafter\XINT_split_fromleft_loop_perhaps\expandafter #1#2% {\fi \XINT_split_fromleft_exitb #1}% \def\XINT_split_fromleft_exitb\the\numexpr #1-\xint_c_viii\expandafter {% \csname XINT_split_fromleft_endsplit_\romannumeral #1\endcsname }% \def\XINT_split_fromleft_endsplit_ #1#2\W #3\Z { {#1}{#2}}% \def\XINT_split_fromleft_endsplit_i #1#2% {\XINT_split_fromleft_checkiftoofar #2{#1#2}}% \def\XINT_split_fromleft_endsplit_ii #1#2#3% {\XINT_split_fromleft_checkiftoofar #3{#1#2#3}}% \def\XINT_split_fromleft_endsplit_iii #1#2#3#4% {\XINT_split_fromleft_checkiftoofar #4{#1#2#3#4}}% \def\XINT_split_fromleft_endsplit_iv #1#2#3#4#5% {\XINT_split_fromleft_checkiftoofar #5{#1#2#3#4#5}}% \def\XINT_split_fromleft_endsplit_v #1#2#3#4#5#6% {\XINT_split_fromleft_checkiftoofar #6{#1#2#3#4#5#6}}% \def\XINT_split_fromleft_endsplit_vi #1#2#3#4#5#6#7% {\XINT_split_fromleft_checkiftoofar #7{#1#2#3#4#5#6#7}}% \def\XINT_split_fromleft_endsplit_vii #1#2#3#4#5#6#7#8% {\XINT_split_fromleft_checkiftoofar #8{#1#2#3#4#5#6#7#8}}% \def\XINT_split_fromleft_checkiftoofar #1#2#3\W #4\Z {% \xint_gob_til_W #1\XINT_split_fromleft_wenttoofar\W \space {#2}{#3}% }% \def\XINT_split_fromleft_wenttoofar\W\space #1% {% \XINT_split_fromleft_wenttoofar_b #1\Z }% \def\XINT_split_fromleft_wenttoofar_b #1\W #2\Z { {#1}}% \def\XINT_split_fromright #1\Z #2% {% \expandafter \XINT_split_fromright_a \expandafter {\romannumeral0\xintreverseorder {#2}}{#1}{#2}% }% \def\XINT_split_fromright_a #1#2% {% \XINT_split_fromright_loop {#2}{}#1\W\W\W\W\W\W\W\W\Z }% \def\XINT_split_fromright_loop #1% {% \ifnum #1<\xint_c_viii\XINT_split_fromright_exita\fi \expandafter\XINT_split_fromright_loop_perhaps\expandafter {\the\numexpr #1-\xint_c_viii\expandafter }\XINT_split_fromright_eight }% \def\XINT_split_fromright_eight #1#2#3#4#5#6#7#8#9{#9{#9#8#7#6#5#4#3#2#1}}% \def\XINT_split_fromright_loop_perhaps #1#2% {% \xint_gob_til_W #2\XINT_split_fromright_toofar\W \XINT_split_fromright_loop {#1}% }% \def\XINT_split_fromright_toofar\W\XINT_split_fromright_loop #1#2#3\Z { {}}% \def\XINT_split_fromright_exita\fi \expandafter\XINT_split_fromright_loop_perhaps\expandafter #1#2% {\fi \XINT_split_fromright_exitb #1}% \def\XINT_split_fromright_exitb\the\numexpr #1-\xint_c_viii\expandafter {% \csname XINT_split_fromright_endsplit_\romannumeral #1\endcsname }% \edef\XINT_split_fromright_endsplit_ #1#2\W #3\Z #4% {% \noexpand\expandafter\space\noexpand\expandafter {\noexpand\romannumeral0\noexpand\xintreverseorder {#2}}{#1}% }% \def\XINT_split_fromright_endsplit_i #1#2% {\XINT_split_fromright_checkiftoofar #2{#2#1}}% \def\XINT_split_fromright_endsplit_ii #1#2#3% {\XINT_split_fromright_checkiftoofar #3{#3#2#1}}% \def\XINT_split_fromright_endsplit_iii #1#2#3#4% {\XINT_split_fromright_checkiftoofar #4{#4#3#2#1}}% \def\XINT_split_fromright_endsplit_iv #1#2#3#4#5% {\XINT_split_fromright_checkiftoofar #5{#5#4#3#2#1}}% \def\XINT_split_fromright_endsplit_v #1#2#3#4#5#6% {\XINT_split_fromright_checkiftoofar #6{#6#5#4#3#2#1}}% \def\XINT_split_fromright_endsplit_vi #1#2#3#4#5#6#7% {\XINT_split_fromright_checkiftoofar #7{#7#6#5#4#3#2#1}}% \def\XINT_split_fromright_endsplit_vii #1#2#3#4#5#6#7#8% {\XINT_split_fromright_checkiftoofar #8{#8#7#6#5#4#3#2#1}}% \def\XINT_split_fromright_checkiftoofar #1% {% \xint_gob_til_W #1\XINT_split_fromright_wenttoofar\W \XINT_split_fromright_endsplit_ }% \def\XINT_split_fromright_wenttoofar\W\XINT_split_fromright_endsplit_ #1\Z #2% { {}{#2}}% \def\xintDouble {\romannumeral0\xintdouble }% \def\xintdouble #1% {% \expandafter\XINT_dbl\romannumeral-`0#1% \R\R\R\R\R\R\R\Z \W\W\W\W\W\W\W }% \def\XINT_dbl #1% {% \xint_UDzerominusfork #1-\XINT_dbl_zero 0#1\XINT_dbl_neg 0-{\XINT_dbl_pos #1}% \krof }% \def\XINT_dbl_zero #1\Z \W\W\W\W\W\W\W { 0}% \def\XINT_dbl_neg {\expandafter\xint_minus_thenstop\romannumeral0\XINT_dbl_pos }% \def\XINT_dbl_pos {% \expandafter\XINT_dbl_a \expandafter{\expandafter}\expandafter 0% \romannumeral0\XINT_SQ {}% }% \def\XINT_dbl_a #1#2#3#4#5#6#7#8#9% {% \xint_gob_til_W #9\XINT_dbl_end_a\W \expandafter\XINT_dbl_b \the\numexpr \xint_c_x^viii+#2+\xint_c_ii*#9#8#7#6#5#4#3\relax {#1}% }% \def\XINT_dbl_b 1#1#2#3#4#5#6#7#8#9% {% \XINT_dbl_a {#2#3#4#5#6#7#8#9}{#1}% }% \def\XINT_dbl_end_a #1+#2+#3\relax #4% {% \expandafter\XINT_dbl_end_b #2#4% }% \edef\XINT_dbl_end_b #1#2#3#4#5#6#7#8% {% \noexpand\expandafter\space\noexpand\the\numexpr #1#2#3#4#5#6#7#8\relax }% \def\xintHalf {\romannumeral0\xinthalf }% \def\xinthalf #1% {% \expandafter\XINT_half\romannumeral-`0#1% \R\R\R\R\R\R\R\Z \W\W\W\W\W\W\W }% \def\XINT_half #1% {% \xint_UDzerominusfork #1-\XINT_half_zero 0#1\XINT_half_neg 0-{\XINT_half_pos #1}% \krof }% \def\XINT_half_zero #1\Z \W\W\W\W\W\W\W { 0}% \def\XINT_half_neg {\expandafter\XINT_opp\romannumeral0\XINT_half_pos }% \def\XINT_half_pos {\expandafter\XINT_half_a\romannumeral0\XINT_SQ {}}% \def\XINT_half_a #1#2#3#4#5#6#7#8% {% \xint_gob_til_W #8\XINT_half_dont\W \expandafter\XINT_half_b \the\numexpr \xint_c_x^viii+\xint_c_v*#7#6#5#4#3#2#1\relax #8% }% \edef\XINT_half_dont\W\expandafter\XINT_half_b \the\numexpr \xint_c_x^viii+\xint_c_v*#1#2#3#4#5#6#7\relax \W\W\W\W\W\W\W {% \noexpand\expandafter\space \noexpand\the\numexpr (#1#2#3#4#5#6#7+\xint_c_i)/\xint_c_ii-\xint_c_i \relax }% \def\XINT_half_b 1#1#2#3#4#5#6#7#8% {% \XINT_half_c {#2#3#4#5#6#7}{#1}% }% \def\XINT_half_c #1#2#3#4#5#6#7#8#9% {% \xint_gob_til_W #3\XINT_half_end_a #2\W \expandafter\XINT_half_d \the\numexpr \xint_c_x^viii+\xint_c_v*#9#8#7#6#5#4#3+#2\relax {#1}% }% \def\XINT_half_d 1#1#2#3#4#5#6#7#8#9% {% \XINT_half_c {#2#3#4#5#6#7#8#9}{#1}% }% \def\XINT_half_end_a #1\W #2\relax #3% {% \xint_gob_til_zero #1\XINT_half_end_b 0\space #1#3% }% \edef\XINT_half_end_b 0\space 0#1#2#3#4#5#6#7% {% \noexpand\expandafter\space\noexpand\the\numexpr #1#2#3#4#5#6#7\relax }% \def\xintDec {\romannumeral0\xintdec }% \def\xintdec #1% {% \expandafter\XINT_dec\romannumeral-`0#1% \R\R\R\R\R\R\R\R\Z \W\W\W\W\W\W\W\W }% \def\XINT_dec #1% {% \xint_UDzerominusfork #1-\XINT_dec_zero 0#1\XINT_dec_neg 0-{\XINT_dec_pos #1}% \krof }% \def\XINT_dec_zero #1\W\W\W\W\W\W\W\W { -1}% \def\XINT_dec_neg {\expandafter\xint_minus_thenstop\romannumeral0\XINT_inc_pos }% \def\XINT_dec_pos {% \expandafter\XINT_dec_a \expandafter{\expandafter}% \romannumeral0\XINT_OQ {}% }% \def\XINT_dec_a #1#2#3#4#5#6#7#8#9% {% \expandafter\XINT_dec_b \the\numexpr 11#9#8#7#6#5#4#3#2-\xint_c_i\relax {#1}% }% \def\XINT_dec_b 1#1% {% \xint_gob_til_one #1\XINT_dec_A 1\XINT_dec_c }% \def\XINT_dec_c #1#2#3#4#5#6#7#8#9{\XINT_dec_a {#1#2#3#4#5#6#7#8#9}}% \def\XINT_dec_A 1\XINT_dec_c #1#2#3#4#5#6#7#8#9% {\XINT_dec_B {#1#2#3#4#5#6#7#8#9}}% \def\XINT_dec_B #1#2\W\W\W\W\W\W\W\W {% \expandafter\XINT_dec_cleanup \romannumeral0\XINT_rord_main {}#2% \xint_relax \xint_bye\xint_bye\xint_bye\xint_bye \xint_bye\xint_bye\xint_bye\xint_bye \xint_relax #1% }% \edef\XINT_dec_cleanup #1#2#3#4#5#6#7#8% {\noexpand\expandafter\space\noexpand\the\numexpr #1#2#3#4#5#6#7#8\relax }% \def\xintInc {\romannumeral0\xintinc }% \def\xintinc #1% {% \expandafter\XINT_inc\romannumeral-`0#1% \R\R\R\R\R\R\R\R\Z \W\W\W\W\W\W\W\W }% \def\XINT_inc #1% {% \xint_UDzerominusfork #1-\XINT_inc_zero 0#1\XINT_inc_neg 0-{\XINT_inc_pos #1}% \krof }% \def\XINT_inc_zero #1\W\W\W\W\W\W\W\W { 1}% \def\XINT_inc_neg {\expandafter\XINT_opp\romannumeral0\XINT_dec_pos }% \def\XINT_inc_pos {% \expandafter\XINT_inc_a \expandafter{\expandafter}% \romannumeral0\XINT_OQ {}% }% \def\XINT_inc_a #1#2#3#4#5#6#7#8#9% {% \xint_gob_til_W #9\XINT_inc_end\W \expandafter\XINT_inc_b \the\numexpr 10#9#8#7#6#5#4#3#2+\xint_c_i\relax {#1}% }% \def\XINT_inc_b 1#1% {% \xint_gob_til_zero #1\XINT_inc_A 0\XINT_inc_c }% \def\XINT_inc_c #1#2#3#4#5#6#7#8#9{\XINT_inc_a {#1#2#3#4#5#6#7#8#9}}% \def\XINT_inc_A 0\XINT_inc_c #1#2#3#4#5#6#7#8#9% {\XINT_dec_B {#1#2#3#4#5#6#7#8#9}}% \def\XINT_inc_end\W #1\relax #2{ 1#2}% \def\xintiSqrt {\romannumeral0\xintisqrt }% \def\xintisqrt {\expandafter\XINT_sqrt_post\romannumeral0\xintisquareroot }% \def\XINT_sqrt_post #1#2{\XINT_dec_pos #1\R\R\R\R\R\R\R\R\Z \W\W\W\W\W\W\W\W }% \def\xintiSquareRoot {\romannumeral0\xintisquareroot }% \def\xintisquareroot #1% {\expandafter\XINT_sqrt_checkin\romannumeral0\xintnum{#1}\Z}% \def\XINT_sqrt_checkin #1% {% \xint_UDzerominusfork #1-\XINT_sqrt_iszero 0#1\XINT_sqrt_isneg 0-{\XINT_sqrt #1}% \krof }% \def\XINT_sqrt_iszero #1\Z { 1.}% \edef\XINT_sqrt_isneg #1\Z {\noexpand\xintError:RootOfNegative\space 1.}% \def\XINT_sqrt #1\Z {% \expandafter\XINT_sqrt_start\expandafter {\romannumeral0\xintlength {#1}}{#1}% }% \def\XINT_sqrt_start #1% {% \ifnum #1<\xint_c_x \expandafter\XINT_sqrt_small_a \else \expandafter\XINT_sqrt_big_a \fi {#1}% }% \def\XINT_sqrt_small_a #1{\XINT_sqrt_a {#1}\XINT_sqrt_small_d }% \def\XINT_sqrt_big_a #1{\XINT_sqrt_a {#1}\XINT_sqrt_big_d }% \def\XINT_sqrt_a #1% {% \ifodd #1 \expandafter\XINT_sqrt_bB \else \expandafter\XINT_sqrt_bA \fi {#1}% }% \def\XINT_sqrt_bA #1#2#3% {% \XINT_sqrt_bA_b #3\Z #2{#1}{#3}% }% \def\XINT_sqrt_bA_b #1#2#3\Z {% \XINT_sqrt_c {#1#2}% }% \def\XINT_sqrt_bB #1#2#3% {% \XINT_sqrt_bB_b #3\Z #2{#1}{#3}% }% \def\XINT_sqrt_bB_b #1#2\Z {% \XINT_sqrt_c #1% }% \def\XINT_sqrt_c #1#2% {% \expandafter #2\expandafter {\the\numexpr\ifnum #1>\xint_c_iii \ifnum #1>\xint_c_viii \ifnum #1>15 \ifnum #1>24 \ifnum #1>35 \ifnum #1>48 \ifnum #1>63 \ifnum #1>80 10\else 9\fi \else 8\fi \else 7\fi \else 6\fi \else 5\fi \else 4\fi \else 3\fi \else 2\fi \relax }% }% \def\XINT_sqrt_small_d #1#2% {% \expandafter\XINT_sqrt_small_e\expandafter {\the\numexpr #1\ifcase \numexpr #2/\xint_c_ii-\xint_c_i\relax \or 0\or 00\or 000\or 0000\fi }% }% \def\XINT_sqrt_small_e #1#2% {% \expandafter\XINT_sqrt_small_f\expandafter {\the\numexpr #1*#1-#2}{#1}% }% \def\XINT_sqrt_small_f #1#2% {% \expandafter\XINT_sqrt_small_g\expandafter {\the\numexpr ((#1+#2)/(\xint_c_ii*#2))-\xint_c_i}{#1}{#2}% }% \def\XINT_sqrt_small_g #1% {% \ifnum #1>\xint_c_ \expandafter\XINT_sqrt_small_h \else \expandafter\XINT_sqrt_small_end \fi {#1}% }% \def\XINT_sqrt_small_h #1#2#3% {% \expandafter\XINT_sqrt_small_f\expandafter {\the\numexpr #2-\xint_c_ii*#1*#3+#1*#1\expandafter}\expandafter {\the\numexpr #3-#1}% }% \def\XINT_sqrt_small_end #1#2#3{ {#3}{#2}}% \def\XINT_sqrt_big_d #1#2% {% \ifodd #2 \expandafter\expandafter\expandafter\XINT_sqrt_big_eB \else \expandafter\expandafter\expandafter\XINT_sqrt_big_eA \fi \expandafter {\the\numexpr #2/\xint_c_ii }{#1}% }% \def\XINT_sqrt_big_eA #1#2#3% {% \XINT_sqrt_big_eA_a #3\Z {#2}{#1}{#3}% }% \def\XINT_sqrt_big_eA_a #1#2#3#4#5#6#7#8#9\Z {% \XINT_sqrt_big_eA_b {#1#2#3#4#5#6#7#8}% }% \def\XINT_sqrt_big_eA_b #1#2% {% \expandafter\XINT_sqrt_big_f \romannumeral0\XINT_sqrt_small_e {#2000}{#1}{#1}% }% \def\XINT_sqrt_big_eB #1#2#3% {% \XINT_sqrt_big_eB_a #3\Z {#2}{#1}{#3}% }% \def\XINT_sqrt_big_eB_a #1#2#3#4#5#6#7#8#9% {% \XINT_sqrt_big_eB_b {#1#2#3#4#5#6#7#8#9}% }% \def\XINT_sqrt_big_eB_b #1#2\Z #3% {% \expandafter\XINT_sqrt_big_f \romannumeral0\XINT_sqrt_small_e {#30000}{#1}{#1}% }% \def\XINT_sqrt_big_f #1#2#3#4% {% \expandafter\XINT_sqrt_big_f_a\expandafter {\the\numexpr #2+#3\expandafter}\expandafter {\romannumeral0\XINT_dsx_addzerosnofuss {\numexpr #4-\xint_c_iv\relax}{#1}}{#4}% }% \def\XINT_sqrt_big_f_a #1#2#3#4% {% \expandafter\XINT_sqrt_big_g\expandafter {\romannumeral0\xintiisub {\XINT_dsx_addzerosnofuss {\numexpr \xint_c_ii*#3-\xint_c_viii\relax}{#1}}{#4}}% {#2}{#3}% }% \def\XINT_sqrt_big_g #1#2% {% \expandafter\XINT_sqrt_big_j \romannumeral0\xintiidivision{#1}% {\romannumeral0\XINT_dbl_pos #2\R\R\R\R\R\R\R\Z \W\W\W\W\W\W\W }{#2}% }% \def\XINT_sqrt_big_j #1% {% \if0\XINT_Sgn #1\Z \expandafter \XINT_sqrt_big_end \else \expandafter \XINT_sqrt_big_k \fi {#1}% }% \def\XINT_sqrt_big_k #1#2#3% {% \expandafter\XINT_sqrt_big_l\expandafter {\romannumeral0\xintiisub {#3}{#1}}% {\romannumeral0\xintiiadd {#2}{\xintiiSqr {#1}}}% }% \def\XINT_sqrt_big_l #1#2% {% \expandafter\XINT_sqrt_big_g\expandafter {#2}{#1}% }% \def\XINT_sqrt_big_end #1#2#3#4{ {#3}{#2}}% \def\xintIsTrue:csv #1{\expandafter\XINT_istrue:_a\romannumeral-`0#1,,^}% \def\XINT_istrue:_a {\XINT_istrue:_b {}}% \def\XINT_istrue:_b #1#2,% {\expandafter\XINT_istrue:_c\romannumeral-`0#2,{#1}}% \def\XINT_istrue:_c #1{\if #1,\expandafter\XINT_:_f \else\expandafter\XINT_istrue:_d\fi #1}% \def\XINT_istrue:_d #1,% {\expandafter\XINT_istrue:_e\romannumeral0\xintisnotzero {#1},}% \def\XINT_istrue:_e #1,#2{\XINT_istrue:_b {#2,#1}}% \def\XINT_:_f ,#1#2^{\xint_gobble_i #1}% \def\xintANDof:csv #1{\expandafter\XINT_andof:_a\romannumeral-`0#1,,^}% \def\XINT_andof:_a {\expandafter\XINT_andof:_b\romannumeral-`0}% \def\XINT_andof:_b #1{\if #1,\expandafter\XINT_andof:_e \else\expandafter\XINT_andof:_c\fi #1}% \def\XINT_andof:_c #1,{\xintifTrueAelseB {#1}{\XINT_andof:_a}{\XINT_andof:_no}}% \def\XINT_andof:_no #1^{0}% \def\XINT_andof:_e #1^{1}% works with empty list \def\xintORof:csv #1{\expandafter\XINT_orof:_a\romannumeral-`0#1,,^}% \def\XINT_orof:_a {\expandafter\XINT_orof:_b\romannumeral-`0}% \def\XINT_orof:_b #1{\if #1,\expandafter\XINT_orof:_e \else\expandafter\XINT_orof:_c\fi #1}% \def\XINT_orof:_c #1,{\xintifTrueAelseB{#1}{\XINT_orof:_yes}{\XINT_orof:_a}}% \def\XINT_orof:_yes #1^{1}% \def\XINT_orof:_e #1^{0}% works with empty list \def\xintXORof:csv #1{\expandafter\XINT_xorof:_a\expandafter 0\romannumeral-`0#1,,^}% \def\XINT_xorof:_a #1#2,{\expandafter\XINT_xorof:_b\romannumeral-`0#2,#1}% \def\XINT_xorof:_b #1{\if #1,\expandafter\XINT_:_e \else\expandafter\XINT_xorof:_c\fi #1}% \def\XINT_xorof:_c #1,#2% {\xintifTrueAelseB {#1}{\if #20\xint_afterfi{\XINT_xorof:_a 1}% \else\xint_afterfi{\XINT_xorof:_a 0}\fi}% {\XINT_xorof:_a #2}% }% \def\XINT_:_e ,#1#2^{#1}% allows empty list \def\xintiMaxof:csv #1{\expandafter\XINT_imaxof:_b\romannumeral-`0#1,,}% \def\XINT_imaxof:_b #1,#2,{\expandafter\XINT_imaxof:_c\romannumeral-`0#2,{#1},}% \def\XINT_imaxof:_c #1{\if #1,\expandafter\XINT_of:_e \else\expandafter\XINT_imaxof:_d\fi #1}% \def\XINT_imaxof:_d #1,{\expandafter\XINT_imaxof:_b\romannumeral0\xintimax {#1}}% \def\XINT_of:_e ,#1,{#1}% \let\xintMaxof:csv\xintiMaxof:csv \def\xintiMinof:csv #1{\expandafter\XINT_iminof:_b\romannumeral-`0#1,,}% \def\XINT_iminof:_b #1,#2,{\expandafter\XINT_iminof:_c\romannumeral-`0#2,{#1},}% \def\XINT_iminof:_c #1{\if #1,\expandafter\XINT_of:_e \else\expandafter\XINT_iminof:_d\fi #1}% \def\XINT_iminof:_d #1,{\expandafter\XINT_iminof:_b\romannumeral0\xintimin {#1}}% \let\xintMinof:csv\xintiMinof:csv \def\xintiiSum:csv #1{\expandafter\XINT_iisum:_a\romannumeral-`0#1,,^}% \def\XINT_iisum:_a {\XINT_iisum:_b {0}}% \def\XINT_iisum:_b #1#2,{\expandafter\XINT_iisum:_c\romannumeral-`0#2,{#1}}% \def\XINT_iisum:_c #1{\if #1,\expandafter\XINT_:_e \else\expandafter\XINT_iisum:_d\fi #1}% \def\XINT_iisum:_d #1,#2{\expandafter\XINT_iisum:_b\expandafter {\romannumeral0\xintiiadd {#2}{#1}}}% \let\xintSum:csv\xintiiSum:csv \def\xintiiPrd:csv #1{\expandafter\XINT_iiprd:_a\romannumeral-`0#1,,^}% \def\XINT_iiprd:_a {\XINT_iiprd:_b {1}}% \def\XINT_iiprd:_b #1#2,{\expandafter\XINT_iiprd:_c\romannumeral-`0#2,{#1}}% \def\XINT_iiprd:_c #1{\if #1,\expandafter\XINT_:_e \else\expandafter\XINT_iiprd:_d\fi #1}% \def\XINT_iiprd:_d #1,#2{\expandafter\XINT_iiprd:_b\expandafter {\romannumeral0\xintiimul {#2}{#1}}}% \let\xintPrd:csv\xintiiPrd:csv \XINT_restorecatcodes_endinput% \endinput %% %% End of file `xint.sty'.