From 9f39ddd0d3a11b7172e79c4c22f952c611492bc5 Mon Sep 17 00:00:00 2001 From: Karl Berry Date: Mon, 18 Feb 2019 22:56:15 +0000 Subject: poormanlog (18feb19) git-svn-id: svn://tug.org/texlive/trunk@50052 c570f23f-e606-0410-a88d-b1316a301751 --- .../doc/generic/poormanlog/poormanlog.tex | 421 --------------------- 1 file changed, 421 deletions(-) delete mode 100644 Master/texmf-dist/doc/generic/poormanlog/poormanlog.tex (limited to 'Master/texmf-dist/doc/generic') diff --git a/Master/texmf-dist/doc/generic/poormanlog/poormanlog.tex b/Master/texmf-dist/doc/generic/poormanlog/poormanlog.tex deleted file mode 100644 index e29c2089010..00000000000 --- a/Master/texmf-dist/doc/generic/poormanlog/poormanlog.tex +++ /dev/null @@ -1,421 +0,0 @@ -%% poormanlog.tex v0.04, 2019/02/17 -%% -%% Copyright (C) 2019, Jean-Francois Burnol -%% -%% This Work may be distributed and/or modified under the -%% conditions of the LaTeX Project Public License version 1.3c. -%% -%% This Work has the LPPL maintenance status `author-maintained`. -%% -%% The Author of this Work is Jean-Francois Burnol (jfbu AT free DOT fr) -%% -%% This Work consists of files poormanlog.tex, poormanlog.sty and the -%% README -%% -%% ************ BARELY TESTED **************** -%% >>>>>>> WARNING FOR LACK OF TIME I HAVE NOT YET VALIDATED FULLY <<<<< -%% >>>>>>> NOR HAVE I MADE PRECISE ESTIMATES. USE AT YOUR OWN RISK <<<<< -%% (bug reports welcome) -%% ************ BARELY TESTED **************** -% -% Package macro private prefix: \PML@ -% -% SEE README FOR USER DOCUMENTATION -% -\ifx\numexpr\JFBUundefined - \message{**** poormanlog requires e-TeX **** LOADING ABORTED ****}% -\endinput\fi -% -% CATCODES (AND AUXILIARIES FOR PLAIN TEX) -% -\expandafter\edef\csname @tempa\endcsname -{% - \catcode0 \the\catcode0 % - \catcode`\noexpand\_ \the\catcode`\_ % - \catcode`\noexpand\^ \the\catcode`\^ % - \catcode`\noexpand\: \the\catcode`\: % - \catcode`\noexpand\* \the\catcode`\* % - \catcode`\noexpand\@ \the\catcode`\@ % -}% -\catcode`\@ 11 % -\if1\ifx\@namedef\JFBUundefined1\else\ifx\@namedef\relax1\else0\fi\fi - \def\@namedef#1{\expandafter\def\csname #1\endcsname}% - \def\@nameuse#1{\csname #1\endcsname}% -\fi -\long\def\@gobble#1{}% -% -% TABLES -% -% The algorithm for \PMLogZ is the reverse engineering of the one I did -% for \PMPowTen. I had an other approach for log10 initially but it was -% less accurate than what testings of \PMPowTen showed. The same accuracy, even -% slightly better, was then obtain with \PMLogZ by imitating the latter -% algorithm (the original was faster but achieved only about 6ulp max error, -% although most of the time the result was correct up to +2 or -2, -% the present one appears to achieve not much worse than 1ulp maximal error). -% -% method of CORDIX type combined with usage of \numexpr "scaling" operations -% -\@namedef{PML@1@10}{}% -\@namedef{PML@1@9}{*1349157701/1071674055}% -\@namedef{PML@1@8}{*946017331/596896583}% -\@namedef{PML@1@7}{*495834591/248505967}% -\@namedef{PML@1@6}{*870020383/346361353}% -\@namedef{PML@1@5}{*1499219281/474094764}% -\@namedef{PML@1@4}{*1978893117/497075477}% -\@namedef{PML@1@3}{*368683859/73562101}% -\@namedef{PML@1@2}{*1295603161/205339263}% -\@namedef{PML@1@1}{*1268797901/159732192}% -\@namedef{PML@1@0}{*10}% -% -\@namedef{PML@P1@10}{}% -\@namedef{PML@P1@9}{*1071674055/1349157701}% -\@namedef{PML@P1@8}{*596896583/946017331}% -\@namedef{PML@P1@7}{*248505967/495834591}% -\@namedef{PML@P1@6}{*346361353/870020383}% -\@namedef{PML@P1@5}{*474094764/1499219281}% -\@namedef{PML@P1@4}{*497075477/1978893117}% -\@namedef{PML@P1@3}{*73562101/368683859}% -\@namedef{PML@P1@2}{*205339263/1295603161}% -\@namedef{PML@P1@1}{*159732192/1268797901}% -\@namedef{PML@P1@0}{/10}% -% -\@namedef{PML@2@12}{*1759219355/1983514284}% -\@namedef{PML@2@11}{*1038555297/1159316503}% -\@namedef{PML@2@10}{*1446048050/1598130251}% -\@namedef{PML@2@9}{*200795995/219705814}% -\@namedef{PML@2@8}{*19701438/21342313}% -\@namedef{PML@2@7}{*699035545/749721341}% -\@namedef{PML@2@6}{*342419462/363593499}% -\@namedef{PML@2@5}{*262151601/275592401}% -\@namedef{PML@2@4}{*643237001/669488001}% -\@namedef{PML@2@3}{*909207215/936896697}% -\@namedef{PML@2@2}{*14850599/15150601}% -\@namedef{PML@2@1}{*119401199/120601201}% -\@namedef{PML@2@0}{}% -\@namedef{PML@2@-1}{*120601201/119401199}% -\@namedef{PML@2@-2}{*15150601/14850599}% -\@namedef{PML@2@-3}{*936896697/909207215}% -\@namedef{PML@2@-4}{*669488001/643237001}% -\@namedef{PML@2@-5}{*275592401/262151601}% -\@namedef{PML@2@-6}{*363593499/342419462}% -\@namedef{PML@2@-7}{*749721341/699035545}% -\@namedef{PML@2@-8}{*21342313/19701438}% -\@namedef{PML@2@-9}{*219705814/200795995}% -\@namedef{PML@2@-10}{*1598130251/1446048050}% -\@namedef{PML@2@-11}{*1159316503/1038555297}% -\@namedef{PML@2@-12}{*1983514284/1759219355}% -% -%\@namedef{PML@3@9}{*166909427/168418392}% -%\@namedef{PML@3@8}{*233438999/235314001}% -%\@namedef{PML@3@7}{*921380630/927852921}% -\@namedef{PML@3@6}{*92333611/92889278}% -\@namedef{PML@3@5}{*957602399/962402401}% -\@namedef{PML@3@4}{*1871252999/1878753001}% -\@namedef{PML@3@3}{*739112555/741333222}% -\@namedef{PML@3@2}{*2997001/3003001}% -\@namedef{PML@3@1}{*11994001/12006001}% -\@namedef{PML@3@0}{}% -\@namedef{PML@3@-1}{*12006001/11994001}% -\@namedef{PML@3@-2}{*3003001/2997001}% -\@namedef{PML@3@-3}{*741333222/739112555}% -\@namedef{PML@3@-4}{*1878753001/1871252999}% -\@namedef{PML@3@-5}{*962402401/957602399}% -\@namedef{PML@3@-6}{*92889278/92333611}% -%\@namedef{PML@3@-7}{*927852921/921380630}% -%\@namedef{PML@3@-8}{*235314001/233438999}% -%\@namedef{PML@3@-9}{*168418392/166909427}% -% -\@namedef{PML@4@5}{*47988001/48012001}% -\@namedef{PML@4@4}{*74985001/75015001}% -\@namedef{PML@4@3}{*399940003/400060003}% -\@namedef{PML@4@2}{*299970001/300030001}% -\@namedef{PML@4@1}{*1199940001/1200060001}% -\@namedef{PML@4@0}{}% -\@namedef{PML@4@-1}{*1200060001/1199940001}% -\@namedef{PML@4@-2}{*300030001/299970001}% -\@namedef{PML@4@-3}{*400060003/399940003}% -\@namedef{PML@4@-4}{*75015001/74985001}% -\@namedef{PML@4@-5}{*48012001/47988001}% -%% -%% -%% LOG IN BASE 10 : \the\numexpr\PML@ ddddddddd.\relax -%% -%% Exactly 9 digits representing d.dddddddd, first one at least 1. -%% Goal is to compute log10(d.dddddddd) with 9 digits -%% -\def\PML@#1.{\expandafter\PML@a\the\numexpr#1/100000.#1.}% -\def\PML@a#1.{\expandafter\PML@ai - \the\numexpr - \ifnum#1>2817 % - \ifnum#1>5622 % - \ifnum#1>7078 \ifnum#1>8912 10\else 9\fi - \else 8% - \fi - \else - \ifnum#1>3547 \ifnum#1>4466 7\else 6\fi - \else 5% - \fi - \fi - \else - \ifnum#1>1412 % - \ifnum#1>1777 \ifnum#1>2238 4\else 3\fi - \else 2% - \fi - \else - \ifnum#1>1121 1\else 0\fi - \fi - \fi - .% -}% -\def\PML@ai #1.#2.% - {\expandafter\PML@b\the\numexpr#2\@nameuse{PML@1@#1}.% - )*774923109/1784326399+#100000000}% -% -\def\PML@b#1.{\expandafter\PML@bi\the\numexpr#1/1000000.#1.}% -\def\PML@bi#1.{\expandafter\PML@bii - \the\numexpr - \ifnum#1>994 % - \ifnum#1>1056 % - \ifnum#1>1088 % - \ifnum#1>1110 \ifnum#1>1121 12\else 11\fi - \else \ifnum#1>1099 10\else 9\fi - \fi - \else - \ifnum#1>1066 \ifnum#1>1077 8\else 7\fi - \else 6% - \fi - \fi - \else - \ifnum#1>1024 % - \ifnum#1>1035 \ifnum#1>1045 5\else 4\fi - \else 3% - \fi - \else - \ifnum#1>1004 \ifnum#1>1014 2\else 1\fi - \else 0% - \fi - \fi - \fi - \else - \ifnum#1>936 % - \ifnum#1>965 % - \ifnum#1>974 \ifnum#1>984 -1\else -2\fi - \else -3% - \fi - \else - \ifnum#1>945 \ifnum#1>955 -4\else -5\fi - \else -6% - \fi - \fi - \else - \ifnum#1>908 % - \ifnum#1>918 \ifnum#1>927 -7\else -8\fi - \else -9% - \fi - \else - \ifnum#1>890 \ifnum#1>899 -10\else -11\fi - \else -12% - \fi - \fi - \fi - \fi - .% -}% -\def\PML@bii#1.#2.% - {\expandafter\PML@c\the\numexpr#2\@nameuse{PML@2@#1}.+#10000000}% -% -\def\PML@c#1.% - {\expandafter\PML@ci\the\numexpr#1/1000000-1000.#1.}% -\def\PML@ci#1.#2.% - {\expandafter\PML@d\the\numexpr#2\@nameuse{PML@3@#1}.+#1000000}% -% -\def\PML@d#1.% - {\expandafter\PML@di\the\numexpr#1/100000-10000.#1.}% -\def\PML@di#1.#2.% - {\expandafter\PML@e\the\numexpr#2\@nameuse{PML@4@#1}-1000000000.+#100000}% -% we have reached -% x = 1 + t/10^9 represented by t -% log(x) represented by 10^9 times (t/10^9 (2.10^9 - t)/2.10^9) -\def\PML@e #1.{(#1*(2000000000-#1)/2000000000+}% -%% -%% -%% POWER OF TEN : \the\numexpr\PML@Pa ddddddddd.\relax -%% -%% Exactly 9 digits in input representing number 0.ddddddddd -%% Goal is to compute 10^0.ddddddddd with 9 digits. -%% -\def\PML@Pa#1#2{\expandafter\PML@Pai\the\numexpr#1#2/10.#1#2}% -\def\PML@Pai#1.#2.{% - \expandafter\PML@Pb\the\numexpr(#2-#100000000)*2079839159/90326267.% - \@nameuse{PML@P1@#1}% -}% -% problem with minus sign interfering with token count so simply fetch all -% the -#1 is to re-use constants already defined for log -\def\PML@Pb#1.{\expandafter\PML@Pbi\the\numexpr-#1/100000000.#1.}% -\def\PML@Pbi#1.#2.% - {\expandafter\PML@Pc\the\numexpr#2+#100000000.\@nameuse{PML@2@#1}}% -% \pm 0.00d, d at most 5, 8 digits integer N for N/10^10 -\def\PML@Pc#1.{\expandafter\PML@Pci\the\numexpr-#1/10000000.#1.}% -\def\PML@Pci#1.#2.% - {\expandafter\PML@Pd\the\numexpr#2+#10000000.\@nameuse{PML@3@#1}}% -% \pm 0.000d, d at most 5, 7 digits -\def\PML@Pd#1.{\expandafter\PML@Pdi\the\numexpr-#1/1000000.#1.}% -\def\PML@Pdi#1.#2.% - {\expandafter\PML@Pe\the\numexpr#2+#1000000.\@nameuse{PML@4@#1}}% -% \pm 0.0000d, d at most 5, 6 digits integer N for N/10^10 -% exp of that must fit in 10 digits, and there will be leading 1, hence -% only 9 digits available for fitting x + x^2/2, x = Ne-10 -% so we must compute via numexpr -% 10^9*x*(1+x/2) = 10^9*N/10^10*(2.10^10+ N)/2.10^10 -% with N in absolute value at most 500000. -% N*(2.10^9+N/10)/2.10^10 which is about N/10 -\def\PML@Pe#1.{(1000000000+#1*(200000000+#1/100)/2000000000)}% -%% -%% -%% BASIC USER INTERFACE : \PMLogZ, \PMPowTen -%% -% Another way of inserting leading zeros is found in xint source code, -% maybe faster. "Z" is for reminding that output has leading zeros. -\def\PMLogZ#1% -{% - \romannumeral-`0\expandafter\@gobble - % \PML@ never gives something negative, hopefully... - \the\numexpr1000000000+\expandafter\PML@\romannumeral-`0#1.\relax -}% -\def\PMPowTen#1{\the\numexpr\expandafter\PML@Pa\romannumeral-`0#1.\relax}% -%% -%% -%% ADD-ONS TO XINTFRAC : \PoorManLogBaseTen{#1}, \PoorManPowerOfTen{#1} -%% and \PoorManPower{#1}{#2} -%% Does not matter if xintfrac loaded before or after. -%% -\def\PoorManLogBaseTen{\romannumeral0\poormanlogbaseten}% -\def\poormanlogbaseten #1% - {\expandafter\PML@logbaseten\romannumeral0\XINTinfloat[9]{#1}}% -\def\PML@logbaseten#1[#2]% -{% - \xintiiadd{\xintDSx{-9}{\the\numexpr#2+8\relax}}{\the\numexpr\PML@#1.}% - [-9]% -}% -% -\def\PoorManPowerOfTen{\the\numexpr\poormanpoweroften}% -\def\poormanpoweroften #1% - {\expandafter\PML@powoften\romannumeral0\xintraw{#1}}% -\catcode`\_ 11 % -\def\PML@powoften#1{% - \xint_UDzerominusfork - #1-\PML@powoften@zero - 0#1\PML@powoften@neg - 0-\PML@powoften@pos - \krof #1% -}% -\catcode`\_ 8 % -\def\PML@powoften@zero 0{1\relax}%/1[0] -\def\PML@powoften@pos#1[#2]{% - \expandafter\PML@powoften@pos@a\romannumeral0\xintround{9}{#1[#2]}.% -}% -\def\PML@powoften@pos@a#1.#2.{\PML@Pa#2.\expandafter[\the\numexpr-8+#1]}% -\def\PML@powoften@neg#1[#2]{% - \expandafter\PML@powoften@neg@a\romannumeral0\xintround{9}{#1[#2]}.% -}% -\def\PML@powoften@neg@a#1.#2.{\ifnum#2=0 \xint_afterfi{1\relax/1[#1]}\else - \expandafter\expandafter\expandafter - \PML@Pa\expandafter\@gobble\the\numexpr2000000000-#2.% - \expandafter[\the\numexpr-9+#1\expandafter]\fi -}% -% -\def\PoorManPower#1#2% #1**#2 -{% - \PoorManPowerOfTen{\xintMul{#2}{\PoorManLogBaseTen{#1}}}% -}% -%% -%% ADD-ONS TO XINTEXPR : -%% -%% log10(), pow10() -%% -%% Does not matter if xintexpr loaded before or after. -%% -\catcode`\_ 11 \catcode`\: 11 % -\unless\ifcsname XINT_expr_func_log10\endcsname -\@namedef{XINT_expr_func_log10}#1#2#3% -{% - \expandafter #1\expandafter #2\csname.=% - \XINT:NEhook:one\PoorManLogBaseTen{\XINT_expr_unlock #3}\endcsname -}% -\fi -\unless\ifcsname XINT_flexpr_func_log10\endcsname -\expandafter\let\csname XINT_flexpr_func_log10\expandafter\endcsname - \csname XINT_expr_func_log10\endcsname -\fi -% -\unless\ifcsname XINT_expr_func_pow10\endcsname -\@namedef{XINT_expr_func_pow10}#1#2#3% -{% - \expandafter #1\expandafter #2\csname.=% - \XINT:NEhook:one\PoorManPowerOfTen{\XINT_expr_unlock #3}\endcsname -}% -\fi -\unless\ifcsname XINT_flexpr_func_pow10\endcsname -\expandafter\let\csname XINT_flexpr_func_pow10\expandafter\endcsname - \csname XINT_expr_func_pow10\endcsname -\fi -%% -%% On-demand modification of ** or ^ operators in \xintexpr and \xintfloatexpr -%% -\catcode`\* 11 \catcode0 12 % -% -\def\poormanloghack**{% -\def\XINT_expr_op_** ##1% -{% - \expandafter \XINT_expr_until_**_a - \expandafter ##1\romannumeral`^^@\expandafter\XINT_expr_getnext -}% -\def\XINT_expr_until_**_a ##1{% -\def\XINT_expr_until_**_a ####1####2% -{% - \xint_UDsignfork - ####2{\expandafter \XINT_expr_until_**_a \expandafter ##1% - \romannumeral`^^@##1}% - -{\XINT_expr_until_**_b ####1####2}% - \krof -}}\expandafter\XINT_expr_until_**_a\csname XINT_expr_op_-ix\endcsname -\def\XINT_expr_until_**_b ##1##2##3##4% -{% - \ifnum ##2>\XINT_expr_precedence_** - \xint_afterfi - {\expandafter \XINT_expr_until_**_a \expandafter ##1% - \romannumeral`^^@\csname XINT_expr_op_##3\endcsname {##4}}% - \else - \xint_afterfi - {\expandafter ##2\expandafter ##3% - \csname .=\XINT:NEhook:two - \PoorManPower{\XINT_expr_unlock ##1}{\XINT_expr_unlock ##4}\endcsname - }% - \fi -}% -\let\XINT_flexpr_op_** \XINT_expr_op_** -\let\XINT_flexpr_until_**_a\XINT_expr_until_**_a -\let\XINT_flexpr_until_**_b\XINT_expr_until_**_b -}% -\catcode`\^ 11 \catcode`\* 7 % -\def\poormanloghack^{% -\def\XINT_expr_until_^_b ##1##2##3##4% -{% - \ifnum ##2>\XINT_expr_precedence_^ - \xint_afterfi - {\expandafter \XINT_expr_until_^_a \expandafter ##1% - \romannumeral`**@\csname XINT_expr_op_##3\endcsname {##4}}% - \else - \xint_afterfi - {\expandafter ##2\expandafter ##3% - \csname .=\XINT:NEhook:two - \PoorManPower{\XINT_expr_unlock ##1}{\XINT_expr_unlock ##4}\endcsname - }% - \fi -}% -\let\XINT_flexpr_until_^_b\XINT_expr_until_^_b -}% -\@tempa -\def\poormanloghack#1{\csname poormanloghack#1\endcsname}% -\endinput -- cgit v1.2.3