%% %% This is file `xintcore.sty', %% generated with the docstrip utility. %% %% The original source files were: %% %% xint.dtx (with options: `xintcore') %% %% IMPORTANT NOTICE: %% %% For the copyright see the source file. %% %% Any modified versions of this file must be renamed %% with new filenames distinct from xintcore.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 v1.1a (2014/11/07; doc: 2015/03/07) %% Copyright (C) 2013-2015 by Jean-Francois Burnol %% xintcore: Expandable arithmetic on big integers %% --------------------------------------------------------------- \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 % : \let\z\endgroup \expandafter\let\expandafter\x\csname ver@xintcore.sty\endcsname \expandafter\let\expandafter\w\csname ver@xintkernel.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{xintcore}{\numexpr not available, aborting input}% \aftergroup\endinput \else \ifx\x\relax % plain-TeX, first loading of xintcore.sty \ifx\w\relax % but xintkernel.sty not yet loaded. \def\z{\endgroup\input xintkernel.sty\relax}% \fi \else \def\empty {}% \ifx\x\empty % LaTeX, first loading, % variable is initialized, but \ProvidesPackage not yet seen \ifx\w\relax % xintkernel.sty not yet loaded. \def\z{\endgroup\RequirePackage{xintkernel}}% \fi \else \aftergroup\endinput % xintkernel already loaded. \fi \fi \fi \z% \XINTsetupcatcodes% defined in xintkernel.sty \XINT_providespackage \ProvidesPackage{xintcore}% [2014/11/07 v1.1a Expandable arithmetic on big integers (jfB)]% \def\xint_minus_thenstop { -}% \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\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_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\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-\xint_c_ 0#1\m@ne % I will not allocate a count only for -1? 0-\xint_c_i \krof }% \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\romannumeral-`0#1\Z }% \def\xint_iiadd #1#2\Z #3% {% \expandafter\XINT_add_fork\expandafter #1\romannumeral-`0#3\Z #2\Z }% \def\xintiAdd {\romannumeral0\xintiadd }% \def\xintiadd #1% {% \expandafter\xint_add\romannumeral0\xintnum{#1}\Z }% \def\xint_add #1#2\Z #3% {% \expandafter\XINT_add_fork\expandafter #1\romannumeral0\xintnum{#3}\Z #2\Z }% \let\xintAdd\xintiAdd \let\xintadd\xintiadd \def\XINT_add_fork #1#2% {% \xint_UDzerofork #1\XINT_add_firstiszero #2\XINT_add_secondiszero 0{}% \krof \xint_UDsignsfork #1#2\XINT_add_minusminus #1-\XINT_add_minusplus #2-\XINT_add_plusminus --\XINT_add_plusplus \krof #1#2% }% \def\XINT_add_firstiszero #1\krof #2#3\Z #4\Z { #3}% \def\XINT_add_secondiszero #1\krof #2#3\Z #4\Z { #2#4}% \def\XINT_add_plusplus #1#2#3\Z #4\Z {\XINT_add_pre {#1#4}{#2#3}}% \def\XINT_add_minusminus #1#2#3\Z #4\Z {\expandafter\xint_minus_thenstop\romannumeral0\XINT_add_pre {#4}{#3}}% \def\XINT_add_minusplus #1#2#3\Z #4\Z {\XINT_sub_pre {#2#3}{#4}}% \def\XINT_add_plusminus #1#2#3\Z #4\Z {\XINT_sub_pre {#1#4}{#3}}% \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\romannumeral-`0#1\Z }% \def\xint_iisub #1#2\Z #3% {% \expandafter\XINT_sub_fork\expandafter #1\romannumeral-`0#3\Z #2\Z }% \def\xintiSub {\romannumeral0\xintisub }% \def\xintisub #1% {% \expandafter\xint_sub\romannumeral0\xintnum{#1}\Z }% \def\xint_sub #1#2\Z #3% {% \expandafter\XINT_sub_fork\expandafter #1\romannumeral0\xintnum{#3}\Z #2\Z }% \let\xintSub\xintiSub \let\xintsub\xintisub \def\XINT_sub_fork #1#2% {% \xint_UDzerofork #1\XINT_sub_firstiszero #2\XINT_sub_secondiszero 0{}% \krof \xint_UDsignsfork #1#2\XINT_sub_minusminus #1-\XINT_sub_minusplus #2-\XINT_sub_plusminus --\XINT_sub_plusplus \krof #1#2% }% \def\XINT_sub_firstiszero #1\krof #2#3\Z #4\Z {\XINT_opp #3}% \def\XINT_sub_secondiszero #1\krof #2#3\Z #4\Z { #2#4}% \def\XINT_sub_plusplus #1#2#3\Z #4\Z {\XINT_sub_pre {#1#4}{#2#3}}% \def\XINT_sub_minusminus #1#2#3\Z #4\Z {\XINT_sub_pre {#3}{#4}}% \def\XINT_sub_minusplus #1#2#3\Z #4\Z {\expandafter\xint_minus_thenstop\romannumeral0\XINT_add_pre {#4}{#2#3}}% \def\XINT_sub_plusminus #1#2#3\Z #4\Z {\XINT_add_pre {#1#4}{#3}}% \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\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{}% \krof \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 {#2}{#4}% }% \def\XINT_mul_zero #1\krof #2#3{ 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\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\Z }% \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\Z }% \def\XINT_pow_Anonneg_ #1#2#3\Z {% \if\relax #3\relax\xint_dothis {\ifcase #2 \expandafter\XINT_pow_AisZero \or\expandafter\XINT_pow_AisOne \else\expandafter\XINT_pow_AatleastTwo \fi }\fi \xint_orthat \XINT_pow_AatleastTwo {#1}{#2#3}% }% \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\xintiQuo {\romannumeral0\xintiquo }% \def\xintiRem {\romannumeral0\xintirem }% \def\xintiquo {\expandafter\xint_firstoftwo_thenstop\romannumeral0\xintidivision }% \def\xintirem {\expandafter\xint_secondoftwo_thenstop\romannumeral0\xintidivision }% \let\xintQuo\xintiQuo\let\xintquo\xintiquo % deprecated (1.1) \let\xintRem\xintiRem\let\xintrem\xintirem % deprecated (1.1) \def\xintiDivision {\romannumeral0\xintidivision }% \def\xintidivision #1{\expandafter\XINT_division\romannumeral0\xintnum{#1}\Z }% \let\xintDivision\xintiDivision \let\xintdivision\xintidivision % deprecated \def\XINT_division #1#2\Z #3{\expandafter\XINT_iidivision_a\expandafter #1% \romannumeral0\xintnum{#3}\Z #2\Z }% \def\xintiiDivision {\romannumeral0\xintiidivision }% \def\xintiidivision #1{\expandafter\XINT_iidivision \romannumeral-`0#1\Z }% \def\XINT_iidivision #1#2\Z #3{\expandafter\XINT_iidivision_a\expandafter #1% \romannumeral-`0#3\Z #2\Z }% \def\XINT_iidivision_a #1#2% #1 de A, #2 de B. {% \if0#2\xint_dothis\XINT_iidivision_divbyzero\fi \if0#1\xint_dothis\XINT_iidivision_aiszero\fi \if-#2\xint_dothis{\expandafter\XINT_iidivision_bneg \romannumeral0\XINT_iidivision_bpos #1}\fi \xint_orthat{\XINT_iidivision_bpos #1#2}% }% \def\XINT_iidivision_divbyzero #1\Z #2\Z {\xintError:DivisionByZero\space {0}{0}}% \def\XINT_iidivision_aiszero #1\Z #2\Z { {0}{0}}% \def\XINT_iidivision_bneg #1% q->-q, r unchanged {\expandafter\space\expandafter{\romannumeral0\XINT_opp #1}}% \def\XINT_iidivision_bpos #1% {% \xint_UDsignfork #1\XINT_iidivision_aneg -{\XINT_iidivision_apos #1}% \krof }% \def\XINT_iidivision_apos #1#2\Z #3\Z{\XINT_div_prepare {#2}{#1#3}}% \def\XINT_iidivision_aneg #1\Z #2\Z {\expandafter \XINT_iidivision_aneg_b\romannumeral0\XINT_div_prepare {#1}{#2}{#1}}% \def\XINT_iidivision_aneg_b #1#2{\if0\XINT_Sgn #2\Z \expandafter\XINT_iidivision_aneg_rzero \else \expandafter\XINT_iidivision_aneg_rpos \fi {#1}{#2}}% \def\XINT_iidivision_aneg_rzero #1#2#3{ {-#1}{0}}% necessarily q was >0 \def\XINT_iidivision_aneg_rpos #1% {% \expandafter\XINT_iidivision_aneg_end\expandafter {\expandafter-\romannumeral0\xintinc {#1}}% q-> -(1+q) }% \def\XINT_iidivision_aneg_end #1#2#3% {% \expandafter\xint_exchangetwo_keepbraces_thenstop \expandafter{\romannumeral0\XINT_sub_pre {#3}{#2}}{#1}% r-> b-r }% \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\'egatif on ait renvoy\'e 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\'ej\`a renvers\'e, #2 se d\'eveloppe 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\xintiDivRound {\romannumeral0\xintidivround }% \def\xintidivround #1{\expandafter\XINT_iidivround\romannumeral0\xintnum{#1}\Z }% \def\xintiiDivRound {\romannumeral0\xintiidivround }% \def\xintiidivround #1{\expandafter\XINT_iidivround \romannumeral-`0#1\Z }% \def\XINT_iidivround #1#2\Z #3{\expandafter\XINT_iidivround_a\expandafter #1% \romannumeral-`0#3\Z #2\Z }% \def\XINT_iidivround_a #1#2% #1 de A, #2 de B. {% \if0#2\xint_dothis\XINT_iidivround_divbyzero\fi \if0#1\xint_dothis\XINT_iidivround_aiszero\fi \if-#2\xint_dothis{\XINT_iidivround_bneg #1}\fi \xint_orthat{\XINT_iidivround_bpos #1#2}% }% \def\XINT_iidivround_divbyzero #1\Z #2\Z {\xintError:DivisionByZero\space 0}% \def\XINT_iidivround_aiszero #1\Z #2\Z { 0}% \def\XINT_iidivround_bpos #1% {% \xint_UDsignfork #1{\xintiiopp\XINT_iidivround_pos {}}% -{\XINT_iidivround_pos #1}% \krof }% \def\XINT_iidivround_bneg #1% {% \xint_UDsignfork #1{\XINT_iidivround_pos {}}% -{\xintiiopp\XINT_iidivround_pos #1}% \krof }% \def\XINT_iidivround_pos #1#2\Z #3\Z{\expandafter\XINT_iidivround_pos_a \romannumeral0\XINT_div_prepare {#2}{#1#30}}% \def\XINT_iidivround_pos_a #1#2{\xintReverseOrder {#1\XINT_iidivround_pos_b}\Z }% \def\XINT_iidivround_pos_b #1#2{\xint_gob_til_Z #2\XINT_iidivround_pos_small\Z \XINT_iidivround_pos_c #1#2}% \def\XINT_iidivround_pos_c #1#2\Z {\ifnum #1>\xint_c_iv \expandafter\XINT_iidivround_pos_up \else \expandafter\xintreverseorder \fi {#2}}% \def\XINT_iidivround_pos_up #1{\xintinc {\xintReverseOrder{#1}}}% \def\XINT_iidivround_pos_small\Z\XINT_iidivround_pos_c #1#2% {\ifnum #1>\xint_c_iv\expandafter\xint_secondoftwo\else\expandafter \xint_firstoftwo\fi { 0}{ 1}}% \def\xintiDivTrunc {\romannumeral0\xintidivtrunc }% \def\xintidivtrunc #1{\expandafter\XINT_iidivtrunc\romannumeral0\xintnum{#1}\Z }% \def\xintiiDivTrunc {\romannumeral0\xintiidivtrunc }% \def\xintiidivtrunc #1{\expandafter\XINT_iidivtrunc \romannumeral-`0#1\Z }% \def\XINT_iidivtrunc #1#2\Z #3{\expandafter\XINT_iidivtrunc_a\expandafter #1% \romannumeral-`0#3\Z #2\Z }% \def\XINT_iidivtrunc_a #1#2% #1 de A, #2 de B. {% \if0#2\xint_dothis\XINT_iidivround_divbyzero\fi \if0#1\xint_dothis\XINT_iidivround_aiszero\fi \if-#2\xint_dothis{\XINT_iidivtrunc_bneg #1}\fi \xint_orthat{\XINT_iidivtrunc_bpos #1#2}% }% \def\XINT_iidivtrunc_bpos #1% {% \xint_UDsignfork #1{\xintiiopp\XINT_iidivtrunc_pos {}}% -{\XINT_iidivtrunc_pos #1}% \krof }% \def\XINT_iidivtrunc_bneg #1% {% \xint_UDsignfork #1{\XINT_iidivtrunc_pos {}}% -{\xintiiopp\XINT_iidivtrunc_pos #1}% \krof }% \def\XINT_iidivtrunc_pos #1#2\Z #3\Z% {\expandafter\xint_firstoftwo_thenstop\romannumeral0\XINT_div_prepare {#2}{#1#3}}% \def\xintiMod {\romannumeral0\xintimod }% \def\xintimod #1{\expandafter\XINT_iimod\romannumeral0\xintnum{#1}\Z }% \def\xintiiMod {\romannumeral0\xintiimod }% \def\xintiimod #1{\expandafter\XINT_iimod \romannumeral-`0#1\Z }% \def\XINT_iimod #1#2\Z #3{\expandafter\XINT_iimod_a\expandafter #1% \romannumeral-`0#3\Z #2\Z }% \def\XINT_iimod_a #1#2% #1 de A, #2 de B. {% \if0#2\xint_dothis\XINT_iidivround_divbyzero\fi \if0#1\xint_dothis\XINT_iidivround_aiszero\fi \if-#2\xint_dothis{\XINT_iimod_bneg #1}\fi \xint_orthat{\XINT_iimod_bpos #1#2}% }% \def\XINT_iimod_bpos #1% {% \xint_UDsignfork #1{\xintiiopp\XINT_iimod_pos {}}% -{\XINT_iimod_pos #1}% \krof }% \def\XINT_iimod_bneg #1% {% \xint_UDsignfork #1{\xintiiopp\XINT_iimod_pos {}}% -{\XINT_iimod_pos #1}% \krof }% \def\XINT_iimod_pos #1#2\Z #3\Z% {\expandafter\xint_secondoftwo_thenstop\romannumeral0\XINT_div_prepare {#2}{#1#3}}% \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}% \XINT_restorecatcodes_endinput% \endinput %% %% End of file `xintcore.sty'.