diff options
Diffstat (limited to 'Master/texmf-dist/tex/generic/xint/xint.sty')
-rw-r--r-- | Master/texmf-dist/tex/generic/xint/xint.sty | 2285 |
1 files changed, 137 insertions, 2148 deletions
diff --git a/Master/texmf-dist/tex/generic/xint/xint.sty b/Master/texmf-dist/tex/generic/xint/xint.sty index 28cbf05146e..b105b592d96 100644 --- a/Master/texmf-dist/tex/generic/xint/xint.sty +++ b/Master/texmf-dist/tex/generic/xint/xint.sty @@ -20,11 +20,11 @@ %% 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 +%% --------------------------------------------------------------- +%% The xint bundle v1.1 (2014/10/28) %% Copyright (C) 2013-2014 by Jean-Francois Burnol -%%---------------------------------------------------------------- +%% xint: Expandable operations on big integers +%% --------------------------------------------------------------- \begingroup\catcode61\catcode48\catcode32=10\relax% \catcode13=5 % ^^M \endlinechar=13 % @@ -36,10 +36,9 @@ \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\let\expandafter\w\csname ver@xintcore.sty\endcsname \expandafter \ifx\csname PackageInfo\endcsname\relax \def\y#1#2{\immediate\write-1{Package #1 Info: #2.}}% @@ -51,150 +50,55 @@ \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}% + \ifx\x\relax % plain-TeX, first loading of xintcore.sty + \ifx\w\relax % but xintkernel.sty not yet loaded. + \def\z{\endgroup\input xintcore.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}}% + \ifx\w\relax % xintcore.sty not yet loaded. + \def\z{\endgroup\RequirePackage{xintcore}}% \fi \else - \y{xint}{I was already loaded, aborting input}% - \aftergroup\endinput + \aftergroup\endinput % xint already loaded. \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% +\XINTsetupcatcodes% defined in xintkernel.sty (loaded by xintcore.sty) \XINT_providespackage \ProvidesPackage{xint}% - [2014/04/01 v1.09n Expandable operations on long numbers (jfB)]% + [2014/10/28 v1.1 Expandable operations on big integers (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% +\def\xintSgnFork {\romannumeral0\xintsgnfork }% +\def\xintsgnfork #1% {% - \expandafter\XINT_length_loop - \xint_UDsignfork - #1{0.}% - -{0.#1}% - \krof + \ifcase #1 \expandafter\xint_secondofthree_thenstop + \or\expandafter\xint_thirdofthree_thenstop + \else\expandafter\xint_firstofthree_thenstop + \fi }% -\def\XINT_RQ #1#2#3#4#5#6#7#8#9% +\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_R #9\XINT_RQ_end_a\R\XINT_RQ {#9#8#7#6#5#4#3#2#1}% + \xint_gob_til_one #1\XINT_isone_b 1% + \expandafter\space\expandafter 0\xint_gob_til_Z #2% }% -\def\XINT_RQ_end_a\R\XINT_RQ #1#2\Z +\def\XINT_isone_b #1\xint_gob_til_Z #2% {% - \XINT_RQ_end_b #1\Z + \xint_gob_til_W #2\XINT_isone_yes \W + \expandafter\space\expandafter 0\xint_gob_til_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_isone_yes #1\Z { 1}% \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}% @@ -222,190 +126,59 @@ \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% +\def\xintRev {\romannumeral0\xintrev }% +\def\xintrev #1% {% - \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 + \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_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% + \xint_relax }% -\def\xintSgn {\romannumeral0\xintsgn }% -\def\xintsgn #1% +\def\XINT_rev_fork #1% {% - \expandafter\XINT_sgn \romannumeral0\xintnum{#1}\Z% + \xint_UDsignfork + #1{\expandafter\xint_minus_thenstop\romannumeral0\XINT_rord_main {}}% + -{\XINT_rord_main {}#1}% + \krof }% -\def\XINT_sgn #1#2\Z +\def\xintLen {\romannumeral0\xintlen }% +\def\xintlen #1% {% - \xint_UDzerominusfork - #1-{ 0}% - 0#1{ -1}% - 0-{ 1}% - \krof + \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_Sgn #1#2\Z +\def\XINT_Len #1% variant which does not expand via \xintnum. {% - \xint_UDzerominusfork - #1-{0}% - 0#1{-1}% - 0-{1}% - \krof + \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_cntSgn #1#2\Z +\def\XINT_len_fork #1% {% - \xint_UDzerominusfork - #1-\z@ - 0#1\m@ne - 0-\@ne + \expandafter\XINT_length_loop + \xint_UDsignfork + #1{0.}% + -{0.#1}% \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% +\def\xintifSgn {\romannumeral0\xintifsgn }% +\def\xintifsgn #1% {% - \ifcase #1 \expandafter\xint_secondofthree_thenstop + \ifcase \xintSgn{#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% +\def\xintiiifSgn {\romannumeral0\xintiiifsgn }% +\def\xintiiifsgn #1% {% - \ifcase \romannumeral0\xintsgn{#1} + \ifcase \xintiiSgn{#1} \expandafter\xint_secondofthree_thenstop \or\expandafter\xint_thirdofthree_thenstop \else\expandafter\xint_firstofthree_thenstop @@ -429,6 +202,24 @@ \expandafter\xint_firstoftwo_thenstop \fi }% +\def\xintiiifZero {\romannumeral0\xintiiifzero }% +\def\xintiiifzero #1% +{% + \if0\xintiiSgn{#1}% + \expandafter\xint_firstoftwo_thenstop + \else + \expandafter\xint_secondoftwo_thenstop + \fi +}% +\def\xintiiifNotZero {\romannumeral0\xintiiifnotzero }% +\def\xintiiifnotzero #1% +{% + \if0\xintiiSgn{#1}% + \expandafter\xint_secondoftwo_thenstop + \else + \expandafter\xint_firstoftwo_thenstop + \fi +}% \def\xintifOne {\romannumeral0\xintifone }% \def\xintifone #1% {% @@ -484,694 +275,6 @@ \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% {% @@ -1284,11 +387,19 @@ \def\xintgt #1#2{\xintifgt{#1}{#2}{1}{0}}% \def\xintLt {\romannumeral0\xintlt }% \def\xintlt #1#2{\xintiflt{#1}{#2}{1}{0}}% +\def\xintLtorEq #1#2{\romannumeral0\xintifgt {#1}{#2}{0}{1}}% +\def\xintGtorEq #1#2{\romannumeral0\xintiflt {#1}{#2}{0}{1}}% +\def\xintNeq #1#2{\romannumeral0\xintifeq {#1}{#2}{0}{1}}% \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}% +\def\xintiiIsZero {\romannumeral0\xintiiiszero }% +\def\xintiiiszero #1{\if0\xintiiSgn{#1}\xint_afterfi{ 1}\else\xint_afterfi{ 0}\fi}% +\def\xintiiIsNotZero {\romannumeral0\xintiiisnotzero }% +\def\xintiiisnotzero + #1{\if0\xintiiSgn{#1}\xint_afterfi{ 0}\else\xint_afterfi{ 1}\fi}% \let\xintIsTrue\xintIsNotZero \let\xintNot\xintIsZero \let\xintIsFalse\xintIsZero @@ -1412,11 +523,20 @@ {% \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\xintiiMax {\romannumeral0\xintiimax }% +\def\xintiimax #1% +{% + \expandafter\xint_iimax\expandafter {\romannumeral-`0#1}% +}% +\def\xint_iimax #1#2% +{% + \expandafter\XINT_max_pre\expandafter {\romannumeral-`0#2}{#1}% +}% +\let\xintMax\xintiMax \let\xintmax\xintimax % deprecated, should be only with xintfrac \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 @@ -1471,11 +591,20 @@ {% \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\xintiiMin {\romannumeral0\xintiimin }% +\def\xintiimin #1% +{% + \expandafter\xint_iimin\expandafter {\romannumeral-`0#1}% +}% +\def\xint_iimin #1#2% +{% + \expandafter\XINT_min_pre\expandafter {\romannumeral-`0#2}{#1}% +}% +\let\xintMin\xintiMin \let\xintmin\xintimin % deprecated \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 @@ -1567,401 +696,6 @@ \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 @@ -2061,635 +795,6 @@ {% \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% {% @@ -2770,6 +875,15 @@ \xint_afterfi{ 0}% \fi }% +\def\xintiiEven {\romannumeral0\xintiieven }% +\def\xintiieven #1% +{% + \ifodd\xintiiLDg{#1} + \xint_afterfi{ 0}% + \else + \xint_afterfi{ 1}% + \fi +}% \def\xintOdd {\romannumeral0\xintodd }% \def\xintodd #1% {% @@ -2779,6 +893,15 @@ \xint_afterfi{ 0}% \fi }% +\def\xintEven {\romannumeral0\xinteven }% +\def\xinteven #1% +{% + \ifodd\xintLDg{#1} + \xint_afterfi{ 0}% + \else + \xint_afterfi{ 1}% + \fi +}% \def\xintDSL {\romannumeral0\xintdsl }% \def\xintdsl #1% {% @@ -3208,92 +1331,17 @@ {% \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\xintiiSqrt {\romannumeral0\xintiisqrt }% +\def\xintiisqrt + {\expandafter\XINT_sqrt_post\romannumeral0\xintiisquareroot }% +\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\xintiiSquareRoot {\romannumeral0\xintiisquareroot }% +\def\xintiisquareroot #1% + {\expandafter\XINT_sqrt_checkin\romannumeral-`0#1\Z}% \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}% @@ -3464,70 +1512,11 @@ {#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 +\def\xintiiE {\romannumeral0\xintiie }% used in \xintMod. +\def\xintiie #1#2% + {\expandafter\XINT_iie\the\numexpr #2\expandafter.\expandafter{\romannumeral-`0#1}}% +\def\XINT_iie #1.#2{\ifnum#1>\xint_c_ \xint_dothis{\xint_dsh {#2}{-#1}}\fi + \xint_orthat{ #2}}% \XINT_restorecatcodes_endinput% \endinput %% |