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diff --git a/Master/texmf-dist/doc/pdftex/samplepdftex/README b/Master/texmf-dist/doc/pdftex/samplepdftex/README new file mode 100644 index 00000000000..188e5c98c1f --- /dev/null +++ b/Master/texmf-dist/doc/pdftex/samplepdftex/README @@ -0,0 +1,24 @@ +$Id: README 883 2022-06-08 17:30:43Z karl $ +This samplepdf directory contains a few plain TeX example files. They +are not meant to be used as-is, and may interfere with any real document. +Please take them and adapt them as you see fit. + +The pdftex manual (texdoc pdftex == +http://mirrors.ctan.org/systems/doc/pdftex/manual/pdftex-a.pdf) +is the reference documentation for pdfTeX. + +samplepdf.tex - document exhibiting many pdfTeX features. +Please peruse both the output and the source. + +pdfcolor.tex - defining and using colors. (Used in samplepdf.tex) + +efcode.tex - sample \efcode settings and macros for font expansion. +protcode.tex - sample \efcode settings and macros for character protrusion. +(These two not used by samplepdf.tex. See the LaTeX package microtype +for much more sophisticated support -- https://ctan.org/pkg/microtype.) + +Additionally, the standalone macro file supp-pdf.tex (-> supp-pdf.mkii) +can read MetaPost output directly in pdftex while generating PDF. No +need for eps-to-pdf conversion. It comes from ConTeXt and is included in +the TeX distributions. + diff --git a/Master/texmf-dist/doc/pdftex/samplepdftex/efcode.tex b/Master/texmf-dist/doc/pdftex/samplepdftex/efcode.tex new file mode 100644 index 00000000000..2a8f1320b13 --- /dev/null +++ b/Master/texmf-dist/doc/pdftex/samplepdftex/efcode.tex @@ -0,0 +1,89 @@ +% $Id: efcode.tex 883 2022-06-08 17:30:43Z karl $ +% Public domain. Originally written by Han The THanh. +% Example \efcode ("expansion factor code") settings +% for per-glyph tuning of font expansions. +% +% Also includes a basic macro to enable font expansion, adjusting for +% LuaTeX and pdfTeX. +% +% As written, this file does nothing but make definitions. +% Adapt and adjust for your needs. +% +% Much more in the LaTeX microtype package (https://ctan.org/pkg/microtype). + +\newcount\temploopefcode +\def\resetefcode#1{% reset all to 1000 + \temploopefcode=0 + \loop + \efcode#1\temploopefcode=1000 + \advance\temploopefcode 1 + \ifnum\temploopefcode < 256 \repeat +} + +\def\setefcode#1{% + \efcode#1`\2=700 + \efcode#1`\3=700 + \efcode#1`\6=700 + \efcode#1`\8=700 + \efcode#1`\9=700 + \efcode#1`\A=500 + \efcode#1`\B=700 + \efcode#1`\C=700 + \efcode#1`\D=500 + \efcode#1`\E=700 + \efcode#1`\F=700 + \efcode#1`\G=500 + \efcode#1`\H=700 + \efcode#1`\K=700 + \efcode#1`\M=700 + \efcode#1`\N=700 + \efcode#1`\O=500 + \efcode#1`\P=700 + \efcode#1`\Q=500 + \efcode#1`\R=700 + \efcode#1`\S=700 + \efcode#1`\U=700 + \efcode#1`\W=700 + \efcode#1`\Z=700 + \efcode#1`\a=700 + \efcode#1`\b=700 + \efcode#1`\c=700 + \efcode#1`\d=700 + \efcode#1`\e=700 + \efcode#1`\g=700 + \efcode#1`\h=700 + \efcode#1`\k=700 + \efcode#1`\m=700 + \efcode#1`\n=700 + \efcode#1`\o=700 + \efcode#1`\p=700 + \efcode#1`\q=700 + \efcode#1`\s=700 + \efcode#1`\u=700 + \efcode#1`\w=700 + \efcode#1`\z=700 +} + +% emacs-page +% Different primitives for LuaTeX and pdfTeX. +% This fragment courtesy of Robert Schlicht, +% https://tex.stackexchange.com/questions/646769. Public domain. +% +\input iftex.sty +\ifluatex + \adjustspacing=2 + \def\mtplnfontexpand#1{% + \expandglyphsinfont #1 20 20 1\relax} +\else + \pdfadjustspacing=2 + \def\mtplnfontexpand#1{% + \pdffontexpand #1 20 20 1 autoexpand\relax} +\fi +% enable for these fonts. +%\mtplnfontexpand\tenrm +%\mtplnfontexpand\tensl +%\mtplnfontexpand\tenbf + +%\hsize=2.2in +%\input story +%\bye diff --git a/Master/texmf-dist/doc/pdftex/samplepdftex/pdfcolor.tex b/Master/texmf-dist/doc/pdftex/samplepdftex/pdfcolor.tex index f09ecbcb750..1e172db5a43 100644 --- a/Master/texmf-dist/doc/pdftex/samplepdftex/pdfcolor.tex +++ b/Master/texmf-dist/doc/pdftex/samplepdftex/pdfcolor.tex @@ -1,4 +1,6 @@ +% $Id: pdfcolor.tex 883 2022-06-08 17:30:43Z karl $ % Very simple macros to show how to use colors with pdftex +% Public domain. Originally written by Han The Thanh. \def\cmykGreenYellow{0.15 0 0.69 0} \def\cmykYellow{0 0 1 0} diff --git a/Master/texmf-dist/doc/pdftex/samplepdftex/protcode.tex b/Master/texmf-dist/doc/pdftex/samplepdftex/protcode.tex new file mode 100644 index 00000000000..ab24297645c --- /dev/null +++ b/Master/texmf-dist/doc/pdftex/samplepdftex/protcode.tex @@ -0,0 +1,93 @@ +% $Id: protcode.tex 883 2022-06-08 17:30:43Z karl $ +% Public domain. Originally written by Han The THanh. +% Example \lpcode and \rpcode ("left/right protrusion code") settings +% for per-glyph tuning of protrusion, and a macro to execute them +% +% As written, this file does nothing but make definitions. +% Adapt and adjust for your needs. +% +% Much more in the LaTeX microtype package (https://ctan.org/pkg/microtype). + +\def\setprotcode#1{% + % this macro works with OT1 encoding only -- mostly ASCII, + % but assumes OT1 for quotes and dashes. + \rpcode#1`\!=200 + \rpcode#1`\,=700 + \rpcode#1`\-=700 + \rpcode#1`\.=700 + \rpcode#1`\;=500 + \rpcode#1`\:=500 + \rpcode#1`\?=200 + \lpcode#1`\`=700 + \rpcode#1`\'=700 + \lpcode#1 92=500 % `` + \rpcode#1 34=500 % '' + \rpcode#1 123=300 % -- + \rpcode#1 124=200 % --- + \rpcode#1`\)=50 + \rpcode#1`\A=50 + \rpcode#1`\F=50 + \rpcode#1`\K=50 + \rpcode#1`\L=50 + \rpcode#1`\T=50 + \rpcode#1`\V=50 + \rpcode#1`\W=50 + \rpcode#1`\X=50 + \rpcode#1`\Y=50 + \rpcode#1`\k=50 + \rpcode#1`\r=50 + \rpcode#1`\t=50 + \rpcode#1`\v=50 + \rpcode#1`\w=50 + \rpcode#1`\x=50 + \rpcode#1`\y=50 + \lpcode#1`\(=50 + \lpcode#1`\A=50 + \lpcode#1`\J=50 + \lpcode#1`\T=50 + \lpcode#1`\V=50 + \lpcode#1`\W=50 + \lpcode#1`\X=50 + \lpcode#1`\Y=50 + \lpcode#1`\v=50 + \lpcode#1`\w=50 + \lpcode#1`\x=50 + \lpcode#1`\y=0 + \adjustprotcode#1\relax +} + +\newif\ifneedadjustprotcode +\newbox\boxA +\newcount\countA +\newcount\countB +\def\adjustprotcode#1{% + \needadjustprotcodefalse + \ifnum\pdftexversion = 14 + \ifnum \expandafter`\pdftexrevision > `g + \needadjustprotcodetrue + \fi + \else\ifnum\pdftexversion > 14 + \needadjustprotcodetrue + \fi \fi + \ifneedadjustprotcode + \countA=0 + \loop + \ifcase\lpcode#1\countA\else + \adjustcp\lpcode#1\countA + \fi + \ifcase\rpcode#1\countA\else + \adjustcp\rpcode#1\countA + \fi + \advance\countA 1 + \ifnum\countA < 256 \repeat + \fi +} +\def\adjustcp#1#2#3{% + \setbox\boxA=\hbox{% + \ifx#2\font\else#2\fi + \char#3}% + \countB=\wd\boxA + \multiply\countB #1#2#3\relax + \divide\countB \fontdimen6 #2\relax + #1#2#3=\countB\relax +} diff --git a/Master/texmf-dist/doc/pdftex/samplepdftex/samplepdf.mp b/Master/texmf-dist/doc/pdftex/samplepdftex/samplepdf.mp new file mode 100644 index 00000000000..bb5788f37a6 --- /dev/null +++ b/Master/texmf-dist/doc/pdftex/samplepdftex/samplepdf.mp @@ -0,0 +1 @@ +prologues := 1; def drawleaf(expr A, B, C) = pickup pencircle scaled 4bp; draw (0, 0) {dir 60} .. A .. {dir 60} B withcolor C; pickup pencircle scaled 2bp; draw A {dir 75} .. {dir 45} B withcolor C; draw A {right} .. {dir 75} B withcolor C; enddef; beginfig(0); drawleaf((50, 50), (400, 250), .6green); d := .5 xpart (400, 250); currentpicture := currentpicture reflectedabout ((d, 0), (d, 1)); endfig; beginfig(1); drawleaf((50, 50), (400, 250), .6blue); currentpicture := currentpicture reflectedabout ((50, 50), (400, 250)); endfig; end; diff --git a/Master/texmf-dist/doc/pdftex/samplepdftex/samplepdf.pdf b/Master/texmf-dist/doc/pdftex/samplepdftex/samplepdf.pdf new file mode 100644 index 00000000000..c7909e49b2e --- /dev/null +++ b/Master/texmf-dist/doc/pdftex/samplepdftex/samplepdf.pdf @@ -0,0 +1,8632 @@ +%PDF-1.5 +% +4 0 obj +<< +/Length 1573 +>> +stream +0 g +1 0 0 1 72 720 cm +0 0 0 1 k +1 0 0 1 -72 -720 cm +BT +/F1 9.9626 Tf 72 710.037 Td [(This)-333(is)-334(v)28(ersion)-333(140)-334(\050revision)-333(21\051)-333(of)-334(p)-27(dfT)]TJ 174.069 -2.144 Td [(E)]TJ 5.535 2.144 Td 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\& Ton Otten}] -%C -%C This module is part of the \CONTEXT\ macro||package and is -%C therefore copyrighted by \PRAGMA. See mreadme.pdf for -%C details. - -%D Some support modules are more or less independant. This -%D module, which is not part of plain \CONTEXT, provides the -%D missing macros and declarations of registers. - -\ifx \undefined \writestatus \else \expandafter \endinput \fi - -%D Because \LATEX\ has no safe package loading mechanism, we -%D need to take care of possible interference. - -\def\StartLatexHack - {\edef\StopLatexHack - {\catcode`\noexpand/=\the\catcode`/ - \catcode`\noexpand:=\the\catcode`: - \catcode`\noexpand;=\the\catcode`; - \catcode`\noexpand"=\the\catcode`" - \catcode`\noexpand<=\the\catcode`< - \catcode`\noexpand>=\the\catcode`>}% - \catcode`/=12 \catcode`:=12 \catcode`;=12 - \catcode`"=12 \catcode`<=12 \catcode`>=12 } - -%D This hack is needed especially for \LATEX\ users who use -%D the Babel package. The Germans have active \type {"}'s, the -%D Poles have \type {/}, while the French have \type {:} and -%D \type {;} defines as command (thanks to Daniel Flipo for -%D pointing that out and testing). Potentially active \type -%D {?}'s and \type {!}'s are less dangerous since they are -%D handled by the \type {\protect} and \type {\unprotect} -%D macros. - -\StartLatexHack - -%D \macros -%D {ifnocontextobject} -%D -%D First we take care of redundant defining. The next set of -%D macros are a bit complicated by the fact that Plain -%D \TEX\ defines the \type{\new}||macros as being outer. -%D Furthermore nested \type{\if}'s can get us into -%D trouble. - -\def\definecontextobject - {\iftrue} - -\def\gobblecontextobject - {\setbox0\hbox - \bgroup - \long\def\gobblecontextobject##1\fi{\egroup}% - \expandafter\gobblecontextobject\string} - -\long\def\ifnocontextobject#1\do - {\ifx#1\undefined - \expandafter\definecontextobject - \else - %\writestatus{system}{beware of conflicting \string#1}% - \expandafter\gobblecontextobject - \fi} - -%D \macros -%D {beginETEX,beginTEX} -%D -%D Outside \CONTEXT\ we will not be \ETEX||aware. - -\long\def\beginETEX #1\endETEX {} -\long\def\beginOMEGA#1\endOMEGA{} - -\let\beginTEX\relax \let\endTEX\relax - -%D \macros -%D {writestatus} -%D -%D We start each module with a message. Normally the output is -%D formatted, but here we keep things simple. - -\ifnocontextobject \writestatus \do - - \def\writestatus#1#2% - {\immediate\write16{#1 : #2}} - -\fi - -%D Let's see if it works. - -\writestatus{loading}{Context Support Macros / Miscellaneous (2004.10.26)} - -%D \macros -%D {protect,unprotect} -%D -%D Next we present a poor mans alternative for \type{\protect} -%D and \type{\unprotect}, two commands that enable us to use -%D the characters \type{@}, \type{!} and \type{?} in macro -%D names. - -\ifnocontextobject \protect \do - - \let\protect\relax - -\fi - -\newcount\protectiondepth - -\ifnocontextobject \unprotect \do - - \def\unprotect - {\advance\protectiondepth 1 - \ifnum\protectiondepth=1 - \let\normalprotect=\protect - \def\protect - {\ifnum\protectiondepth>0 - \advance\protectiondepth -1 - \ifnum\protectiondepth=0 - \doprotect - \let\protect=\normalprotect - \fi - \fi} - \edef\doprotect - {\catcode`\noexpand @=\the\catcode`@\relax - \catcode`\noexpand !=\the\catcode`!\relax - \catcode`\noexpand ?=\the\catcode`?\relax} - \catcode`@=11 - \catcode`!=11 - \catcode`?=11 - \fi} - -\fi - -%D We start using this one it at once. - -\unprotect - -%D \macros -%D {scratch...,if...,next...} -%D -%D We need some scratch registers. Users are free to use them, -%D but can never be sure of their value once another macro is -%D called. We only allocate things when they are yet -%D undefined. This way we can't mess up other macro packages, -%D but of course previous definitions can mess up our modules. - -\ifnocontextobject \donetrue \do \newif\ifdone \fi - -% no time now, will do a better test later (based on dimendef) - -\def\!!stringa{plain} \ifx\!!stringa\fmtname \donetrue \else -\def\!!stringa{babel-plain} \ifx\!!stringa\fmtname \donetrue \else - \donefalse \fi \fi - -\ifdone - % plain defines some 15 dimens, so we need to define a few - % dummies in order to get out of the scratch area - \newdimen\scratchdimen % 16 - \newdimen\scratchdimen % 17 - \newdimen\scratchdimen % 18 - \newdimen\scratchdimen % 19 - \newdimen\scratchdimen % 20 - \newdimen\scratchdimen % 21 -\fi - -\ifnocontextobject \scratchcounter \do \newcount \scratchcounter \fi -\ifnocontextobject \scratchtoks \do \newtoks \scratchtoks \fi -\ifnocontextobject \scratchdimen \do \newdimen \scratchdimen \fi -\ifnocontextobject \scratchskip \do \newskip \scratchskip \fi -\ifnocontextobject \scratchmuskip \do \newmuskip \scratchmuskip \fi -\ifnocontextobject \scratchbox \do \newbox \scratchbox \fi -\ifnocontextobject \scratchread \do \newread \scratchread \fi -\ifnocontextobject \scratchwrite \do \newwrite \scratchwrite \fi - -%D Watch out, in the past we ran into troubles with \type {\onepoint} -%D (and others) mening something different in \LATEX\ then here. In -%D such situations clashes are bound to happen. For this reason the -%D assignments are no inside the test. We try to catch those situations -%D but we cannot keep ahead of teh future. - -\ifnocontextobject \zeropoint \do \newdimen \zeropoint \zeropoint = 0pt \fi % else problems with dimen12 -\ifnocontextobject \onepoint \do \newdimen \onepoint \onepoint = 1pt \fi -\ifnocontextobject \onebasepoint \do \newdimen \onebasepoint \onebasepoint = 1bp \fi -\ifnocontextobject \zerocount \do \chardef \zerocount = 0 \fi -\ifnocontextobject \plusone \do \chardef \plusone = 1 \fi -\ifnocontextobject \minusone \do \newcount \minusone \minusone = -1 \fi -\ifnocontextobject \thousandpoint \do \newdimen \thousandpoint \thousandpoint = 1000pt \fi -\ifnocontextobject \onerealpoint \do \newdimen \onerealpoint \onerealpoint = 1pt \fi % latex has a funny \onepoint - -\ifnocontextobject \emptytoks \do \newtoks \emptytoks \fi -\ifnocontextobject \nextbox \do \newbox \nextbox \fi -\ifnocontextobject \nextdepth \do \newdimen \nextdepth \fi - -\ifnocontextobject \CONTEXTtrue \do \newif\ifCONTEXT \fi -\ifnocontextobject \eightbitcharacterstrue \do \newif\ifeightbitcharacters \fi -\ifnocontextobject \MPdrawingdonetrue \do \newif\ifMPdrawingdone \fi - -\ifnocontextobject \ifzeropt \do \let\ifzeropt\ifcase \fi - -%D \macros -%D {@@...} -%D -%D We use symbolic name for \CATCODES. They can only be used -%D when we are in unprotected state. - -\ifnocontextobject \@@escape \do \chardef\@@escape = 0 \fi -\ifnocontextobject \@@begingroup \do \chardef\@@begingroup = 1 \fi -\ifnocontextobject \@@endgroup \do \chardef\@@endgroup = 2 \fi -\ifnocontextobject \@@endofline \do \chardef\@@endofline = 5 \fi -\ifnocontextobject \@@ignore \do \chardef\@@ignore = 9 \fi -\ifnocontextobject \@@space \do \chardef\@@space = 10 \fi -\ifnocontextobject \@@letter \do \chardef\@@letter = 11 \fi -\ifnocontextobject \@@other \do \chardef\@@other = 12 \fi -\ifnocontextobject \@@active \do \chardef\@@active = 13 \fi -\ifnocontextobject \@@comment \do \chardef\@@comment = 14 \fi - -\def\s!sp{sp} -\def\s!pt{pt} -\def\s!bp{bp} - -%D \macros -%D {@EA,expanded,expandoneargafter,expandtwoargsafter} -%D -%D Also needed: - -\let\@EA=\expandafter \let\@@expanded\empty - -\def\expanded#1% - {\long\xdef\@@expanded{\noexpand#1}\@@expanded} - -\def\expandoneargafter#1#2% - {\@EA#1\@EA{#2}} - -\def\expandtwoargsafter#1#2#3% - {\@EA\@EA\@EA#1\@EA\@EA\@EA{\@EA#2\@EA}\@EA{#3}} - -\def\@EAEAEA{\@EA\@EA\@EA} - -%D \macros -%D {everyline,EveryLine,EveryPar} -%D -%D In \CONTEXT\ we use \type{\everypar} for special purposes -%D and provide \type{\EveryPar} as an alternative. The same -%D goes for \type{\everyline} and \type{\EveryLine}. - -\ifnocontextobject \everyline \do \newtoks\everyline \fi -\ifnocontextobject \EveryPar \do \let\EveryPar =\everypar \fi -\ifnocontextobject \EveryLine \do \let\EveryLine=\everyline \fi - -%D \macros -%D {globallet} - -\def\globallet{\global\let} - -%D \macros -%D {!!...} -%D -%D We reserve ourselves some scratch strings (i.e. macros) -%D and some more counters. - -\ifnocontextobject \!!stringa \do \def\!!stringa {} \fi -\ifnocontextobject \!!stringb \do \def\!!stringb {} \fi -\ifnocontextobject \!!stringc \do \def\!!stringc {} \fi -\ifnocontextobject \!!stringd \do \def\!!stringd {} \fi - -\ifnocontextobject \!!counta \do \newcount\!!counta {} \fi -\ifnocontextobject \!!countb \do \newcount\!!countb {} \fi - -%D \macros -%D {!!...} -%D -%D The next set of definitions speed up processing a bit. -%D Furthermore it saves memory. - -\ifnocontextobject \!!zeropoint \do \def\!!zeropoint {0pt} \fi -\ifnocontextobject \!!zerocount \do \def\!!zerocount {0} \fi -\ifnocontextobject \!!tenthousand \do \def\!!tenthousand {10000} \fi - -\ifnocontextobject \!!width \do \def\!!width {width} \fi -\ifnocontextobject \!!height \do \def\!!height {height} \fi -\ifnocontextobject \!!depth \do \def\!!depth {depth} \fi - -\ifnocontextobject \!!plus \do \def\!!plus {plus} \fi -\ifnocontextobject \!!minus \do \def\!!minus {minus} \fi -\ifnocontextobject \!!to \do \def\!!to {to} \fi - -%D \macros -%D {smashbox} -%D -%D The system modules offer a range of smashing macros, of -%D which we only copied \type{\smashbox}. - -\ifnocontextobject \smashbox \do - - \def\smashbox#1% - {\wd#1\zeropoint - \ht#1\zeropoint - \dp#1\zeropoint} - -\fi - -%D \macros -%D {dowithnextbox} -%D -%D Also without further comment, we introduce a macro that -%D gets the next box and does something usefull with it. -%D Because the \type{\afterassignment} is executed inside the -%D box, we have to use a \type{\aftergroup} too. - -\ifnocontextobject \dowithnextbox \do - - \def\dowithnextbox#1% - {\def\dodowithnextbox{#1}% - \afterassignment\dododowithnextbox - \setbox\nextbox} - - \def\dododowithnextbox% - {\aftergroup\dodowithnextbox} - -\fi - -%D \macros -%D {setvalue,setevalue,setxvalue,,setgvalue, -%D getvalue, -%D letvalue,letgvalue} -%D -%D The next two macros expand their argument to -%D \type{\argument}. The first one is used to define macro's -%D the second one executes them. - -\ifnocontextobject \setvalue \do - - \def\setvalue #1{\expandafter\def\csname#1\endcsname} - \def\setevalue#1{\expandafter\edef\csname#1\endcsname} - \def\setgvalue#1{\expandafter\gdef\csname#1\endcsname} - \def\setxvalue#1{\expandafter\xdef\csname#1\endcsname} - \def\getvalue #1{\csname#1\endcsname} - \def\letvalue #1{\expandafter\let\csname#1\endcsname} - \def\letgvalue#1{\global\expandafter\let\csname#1\endcsname} -\fi - -%D \macros -%D {unexpanded} -%D -%D The next command can be used as prefixed for commands that -%D need protection during tests and writing to files. This -%D is a very \CONTEXT\ specific one. - -\ifnocontextobject \unexpanded \do - - \let\unexpanded\relax - -\fi - -%D \macros -%D {convertargument} -%D -%D The original one offers a bit more, like global assignment, the -%D the next implementation is however a bit more byte saving. - -\ifnocontextobject \convertargument \do - - \def\doconvertargument#1>{} - - \long\def\convertargument#1\to#2% - {\long\def\convertedargument{#1}% - \edef#2{\expandafter\doconvertargument\meaning\convertedargument}} - -\fi - -%D \macros -%D {forgetall} -%D -%D Sometimes we have to disable interference of whatever kind -%D of skips and mechanisms. The next macro resets some. - -\ifnocontextobject \forgetall \do - - \def\forgetall - {\parskip\zeropoint - \leftskip\zeropoint - \parindent\zeropoint - \everypar{}} - -\fi - -%D \macros -%D {withoutpt, -%D ScaledPointsToBigPoints,ScaledPointsToWholeBigPoints} -%D -%D \TEX\ lacks some real datastructure. We can however use -%D \DIMENSIONS. This kind of trickery is needed when we want -%D \TEX\ to communicate with the outside world (by means of -%D \type{\specials}). - -\ifnocontextobject \withoutpt \do - - {\catcode`\.=\@@other - \catcode`\p=\@@other - \catcode`\t=\@@other - \gdef\WITHOUTPT#1pt{#1}} - - \def\withoutpt#1% - {\expandafter\WITHOUTPT#1} - - \def\ScaledPointsToBigPoints#1#2% - {\scratchdimen=#1sp\relax - \scratchdimen=.996264\scratchdimen - \edef#2{\withoutpt{\the\scratchdimen}}} - - \def\ScaledPointsToWholeBigPoints#1#2% - {\scratchdimen=#1sp - \scratchdimen=.996264\scratchdimen - \scratchcounter=\scratchdimen - \advance\scratchcounter by 32768 - \divide\scratchcounter by 65536 - \edef#2{\the\scratchcounter}} - -\fi - -%D \macros -%D {doprocessfile} -%D -%D This macro takes three arguments: the file number, the -%D filename and a macro that handles the content of a read -%D line. - -\newif\iffileprocessed - -\ifnocontextobject \doprocessfile \do - - \def\doprocessfile#1#2#3% - {\openin#1=#2\relax - \ifeof#1% - \fileprocessedfalse - \closein#1\relax - \else - \fileprocessedtrue - \gdef\dofinishfile% - {\closein#1\relax - \global\let\doprocessline\relax}% - \gdef\doprocessline% - {\ifeof#1% - \dofinishfile - \else - \global\read#1 to \fileline - #3\relax - \expandafter\doprocessline - \fi}% - \expandafter\doprocessline - \fi} - -\fi - -%D \macros -%D {uncatcodespecials} -%D -%D This one is taken from the \TEX\ book. The \CONTEXT\ -%D alternative is a bit different, but we hope this one works -%D here. - -\ifx\dospecials\undefined - - \def\dospecials - {\do\ \do\\\do\{\do\}\do\$% - \do\#\do\^\do\_\do\&\do\%% - \do\~\do\^^A\do\^^K} - -\fi - -\ifnocontextobject \uncatcodespecials \do - - \def\uncatcodespecials - {\def\do##1{\catcode`##1=12 }\dospecials - \catcode`\ =\@@space - \catcode`\^^L=\@@ignore - \catcode`\^^M=\@@endofline - \catcode`\^^?=\@@ignore} - -\fi - -\ifnocontextobject \setnaturalcatcodes \do - -\def\setnaturalcatcodes - {\catcode`\!=\@@other \catcode`\?=\@@other \catcode`\@=\@@other - \catcode`\#=\@@other \catcode`\&=\@@other \catcode`\|=\@@other - \catcode`\$=\@@other \catcode`\^=\@@other \catcode`\_=\@@other - \catcode`\*=\@@other \catcode`\/=\@@other - \catcode`\-=\@@other \catcode`+=\@@other - \catcode`\==\@@other \catcode`\<=\@@other \catcode`\>=\@@other - \catcode`\"=\@@other \catcode`\'=\@@other \catcode`\`=\@@other - \catcode`\:=\@@other \catcode`\;=\@@other - \catcode`\,=\@@other \catcode`\.=\@@other \catcode`\~=\@@other - \catcode`\(=\@@other \catcode`\)=\@@other - \catcode`\{=\@@other \catcode`\}=\@@other - \catcode`\\=\@@other \catcode`\%=\@@other } - -\fi - -%D \macros -%D {doglobal} -%D -%D Some \CONTEXT\ low level macros can have a \type{\doglobal} -%D prefix. Let's just forget about that here: - -\ifnocontextobject \doglobal \do \let\doglobal\relax \fi - -%D The next obscure one is needed in the generic verbatim -%D environment. When we end up with more of these, it's time -%D to load the module \type{syst-gen}. - -\ifnocontextobject \doifincsnameelse \do - - \def\dodoifincsnameelse#1#2% - {\def\dododoifincsnameelse##1#1##2##3\war% - {\csname\if##2@iffalse\else iftrue\fi\endcsname}% - \expandafter\dododoifincsnameelse#2#1@@\war} - - \long\def\doifincsnameelse#1#2#3#4% - {\edef\@@instring{#1}% - \expandafter\dodoifincsnameelse\expandafter{\@@instring}{#2}% - #3% - \else - #4% - \fi} - -\fi - -%D \macros -%D {dostepwiserecurse, dorecurse, doloop, exitloop} -%D -%D The next loop macro is a real weak one, and does not offer -%D the full \CONTEXT\ functionality, let alone nesting, but -%D for simple purposes, its behaviour is acceptable. - -\newcount\recursecounter - -\def\dostepwiserecurse#1#2#3#4% very weak and rubishly version - {\ifnum#2<#1\relax\else\dodostepwiserecurse{#1}{#2}{#3}{#4}\fi} - -\def\dodostepwiserecurse#1#2#3#4% very weak and rubishly version - {\recursecounter=#1\relax - \loop - \edef\recurselevel{\the\recursecounter}% - #4\relax - \ifnum\recursecounter<#2\relax - \advance\recursecounter by #3\relax - \repeat} - -\def\dorecurse#1% - {\dostepwiserecurse{1}{#1}{1}} - -\def\doloop - {\dostepwiserecurse{1}{\maxdimen}{1}} - -\def\exitloop - {\recursecounter=\maxdimen} - -%D \macros -%D {ifundefined,doifdefined,doifundefined, -%D doifdefinedelse,doifundefinedelse} -%D -%D These alteratives are not robust but suitable for simple -%D usage. The official ones are a bit faster. - -\ifnocontextobject \doifdefined \do - - \def\ifundefined#1% - {\expandafter\ifx\csname#1\endcsname\relax} - - \def\doifdefinedelse#1#2#3% - {\expandafter\ifx\csname#1\endcsname\relax#3\else#2\fi} - - \def\doifundefinedelse#1#2#3% - {\expandafter\ifx\csname#1\endcsname\relax#2\else#3\fi} - - \def\doifdefined#1#2% - {\expandafter\ifx\csname#1\endcsname\relax\else#2\fi} - - \def\doifundefined#1#2% - {\expandafter\ifx\csname#1\endcsname\relax#2\fi} - -\fi - -%D \macros -%D {doifinstringelse} -%D -%D It seems like we end up with more and more macros here. -%D Sigh. - -\ifnocontextobject \doifinstringelse \do - - \def\p!doifinstringelse#1#2% - {\def\pp!doifinstringelse##1#1##2##3\war% - {\csname if\if##2@fals\else tru\fi e\endcsname}% - \expanded{\pp!doifinstringelse#2#1@@\noexpand\war}} - - \long\def\doifinstringelse#1#2#3#4% - {\edef\@@@instring{#1}% - \@EA\p!doifinstringelse\@EA{\@@@instring}{#2}#3\else#4\fi} - -\fi - -%D \macros -%D {twodigitrounding} -%D -%D We don't support rounding outside \CONTEXT. Sorry. - -\def\twodigitrounding#1{#1} - -%D \macros -%D {lineheight} -%D -%D In \CONTEXT\ we have \type{\lineheight}, which in many -%D cases matches \type {\baselineskip}. - -\ifnocontextobject \lineheight \do - - \def\lineheight{\baselineskip} - -\fi - -%D \macros -%D {dohandletokens} -%D -%D The following macro is the simplified version, but good -%D enough for day to day hacks. -%D -%D \starttyping -%D \dohandletokens some text\with\somemacro -%D \stoptyping - -\ifnocontextobject \dohandletokens \do - -\def\dodohandletokens - {\ifx\next\end \else - \docommando{\next}% - \expandafter\dohandletokens - \fi} - -\def\dohandletokens - {\afterassignment\dodohandletokens\let\next= } - -\long\def\handletokens#1\with#2% - {\let\docommando=#2% - \dohandletokens#1\end} - -\fi - -%D Very reduced: - -\long\def\appendtoks#1\to#2% - {\scratchtoks{#1}\expanded{#2{\the#2\the\scratchtoks}}} - -%D Well, also handy. - -\def\doiffileelse#1#2#3% - {\immediate\openin\scratchread=#1\relax - \ifeof\scratchread - \def\next{#3}% - \else - \def\next{#2}% - \fi - \immediate\closein\scratchread - \next} - -%D New. - -\let\donothing\empty - -%D Also new: - -\def\letempty #1{\let#1\empty} -\def\globalletempty#1{\global\let#1\empty} - -\def\letvalueempty #1{\expandafter\let\csname#1\endcsname\empty} -\def\letgvalueempty#1{\global\expandafter\let\csname#1\endcsname\empty} - -%D Sigh - -\def\settrue #1{\chardef#1\zerocount} -\def\setfalse#1{\chardef#1\plusone} - -\let\newconditional = \setfalse -\let\ifconditional = \ifcase - -%D That's it. Please forget this junk and take a look at how -%D it should be done. - -\StopLatexHack \protect \endinput diff --git a/Master/texmf-dist/doc/pdftex/samplepdftex/supp-pdf.tex b/Master/texmf-dist/doc/pdftex/samplepdftex/supp-pdf.tex deleted file mode 100644 index 184cfb81582..00000000000 --- a/Master/texmf-dist/doc/pdftex/samplepdftex/supp-pdf.tex +++ /dev/null @@ -1,2191 +0,0 @@ -%D \module -%D [ file=supp-pdf, -%D version=2004.12.16, -%D title=\CONTEXT\ Support Macros, -%D subtitle=\METAPOST\ to \PDF\ conversion, -%D author=Hans Hagen \& others (see text), -%D date=\currentdate, -%D copyright=\PRAGMA] -%C -%C This module is part of the \CONTEXT\ macro||package and is -%C therefore copyrighted by \PRAGMA. See mreadme.pdf for -%C details. - -%D These macros are written as generic as possible. Some -%D general support macro's are loaded from a small module -%D especially made for non \CONTEXT\ use. In this module I -%D use a matrix transformation macro written by Tanmoy -%D Bhattacharya. Thanks to extensive testing by Sebastian -%D Ratz I was able to complete this module within reasonable -%D time. This module has support for \METAPOST\ extensions -%D built in. -%D -%D Daniel H. Luecking came up with a better (more precise) -%D transformation method. You can recognize his comment by -%D his initials. (We keep the old code around because it's a -%D nice illustration on how a module like this evolves.) - -% Beware, we cannot use \zeropoint here since it may be -% defined in the range \dimen 0 - 20 which we happen to use -% as scratch registers; inside context we may consider -% using dedicated registers. - -% fails: ( ) vect10 9.96265 fshow % \040\040\040\040 -% -% some optimizations are possible, but we need to be generic - -%D First we take care of non||\CONTEXT\ use (newlines needed, -%D expandafter not -). - -\ifx \undefined \writestatus \input supp-mis.tex \relax \fi - -\ifx \undefined \convertMPtoPDF \else \expandafter \endinput \fi - -\ifx \undefined \StartLatexHack \else \StartLatexHack \fi - -%D This module handles some \PDF\ conversion and insertions -%D topics. By default, the macros use the \PDFTEX\ primitive -%D \type{\pdfliteral} when available. Since \PDFTEX\ is now the -%D default engine for \TEX\ distributions, we need a more complex -%D test. - -\writestatus{loading}{Context Support Macros / PDF (2004.03.26)} - -\unprotect - -\ifx\PDFcode\undefined - \ifx\pdfliteral\undefined - \def\PDFcode#1{\special{PDF: #1}} - \else\ifx\pdfoutput\undefined - \def\PDFcode#1{\special{PDF: #1}} - \else\ifcase\pdfoutput - \def\PDFcode#1{\special{PDF: #1}} - \else % pdftex as well as in pdf mode - \let\PDFcode\pdfliteral - \fi\fi\fi -\else - % we probably use context -\fi - -%D First we define a handy constant: - -\bgroup \catcode`\%=\@@other \xdef\letterpercent{\string%} \egroup - -%D \macros -%D {pdfimage,pdfimages,pdfclippedimage} -%D -%D Starting with pdftex version 14, images are included more -%D natural to the form embedding. This enables alternative -%D images to be embedded. -%D -%D \starttyping -%D \pdfimage <optional dimensions> {file} -%D \pdfimages <optional dimensions> {high res file} {low res file} -%D \stoptyping -%D -%D The first one replaces the pre||version||14 original, -%D while the latter provides alternative images. -%D -%D The next macro is dedicated to Maarten Gelderman, who -%D needed to paste prepared \PDF\ pages into conference -%D proceedings. -%D -%D \starttyping -%D \pdfclippedimage <optional dimensions> {file} {l} {r} {t} {b} -%D \stoptyping - -% \ifx\pdftexversion\undefined % no \m!systems for the sake of latex -% \writestatus{systems}{Why not use pdf(e)TeX binaries?} -% \protect -% \expandafter\endinput -% \fi - -\ifx\pdftexversion\undefined \else \ifnum\pdftexversion>13 - - \def\pdfimage#1#% - {\dopdfimage{#1}} - - \def\dopdfimage#1#2% - {\immediate\pdfximage#1{#2}% - \pdfrefximage\pdflastximage} - - \def\pdfimages#1#% - {\dopdfimages{#1}} - - \def\dopdfimages#1#2#3% - {\immediate\pdfximage#1{#2}% - \immediate\pdfobj - {[ << /Image \the\pdflastximage\space0 R - /DefaultForPrinting true >> ]}% - \immediate\pdfximage#1 - attr {/Alternates \the\pdflastobj\space0 R}{#3}% - \pdfrefximage\pdflastximage} - - \def\pdfclippedimage#1#% specs {file}{left}{right}{top}{bottom} - {\dopdfclippedimage{#1}} - - \def\dopdfclippedimage#1#2#3#4#5#6% - {\bgroup - \pdfximage#1{#2}% - \setbox\scratchbox\hbox - {\pdfrefximage\pdflastximage}% - \hsize\wd\scratchbox - \advance\hsize -#3 - \advance\hsize -#4 - \vsize\ht\scratchbox - \advance\vsize -#5 - \advance\vsize -#6 - \setbox\scratchbox\vbox to \vsize - {\vskip-#5\hbox to \hsize{\hskip-#3\box\scratchbox\hss}}% - \pdfxform\scratchbox - \pdfrefxform\pdflastxform - \egroup} - -\fi \fi - -%D If you want to save a few hash entries, you may prefer the -%D less readable alternatives, like: -%D -%D \starttyping -%D \def\pdfimage#1#% This one is less readable but needs no additional -%D {\bgroup % hash entry for the second stage macro. -%D \def\pdfimage##1% -%D {\immediate\pdfximage##1{#2}% -%D \pdfrefximage\pdflastximage\egroup}} -%D \stoptyping - -%D For old times sake we provide a few aliases. These will be -%D removed some day. - -\ifx\pdftexversion\undefined \else \ifnum\pdftexversion>13 - - \let\pdfform =\pdfxform - \let\pdflastform=\pdflastxform - \let\pdfrefform =\pdfrefxform - -\fi \fi - -%D \macros -%D {convertPDFtoPDF} -%D -%D \PDFTEX\ supports verbatim inclusion of \PDF\ code. The -%D following macro takes care of inserting externally defined -%D illustrations in \PDF\ format. According to a suggestion -%D Tanmoy Bhattacharya posted to the \PDFTEX\ mailing list, we -%D first skip lines until \type{stream} is reached and then -%D copy lines until \type{endstream} is encountered. This -%D scheme only works with vectorized graphics in which no -%D indirect references to objects are used. Bitmaps also don't -%D work. Interpreting their specifications is beyond the -%D current implementation. -%D -%D \starttyping -%D \convertPDFtoPDF -%D {filename} -%D {x scale} {y scale} -%D {x offset } {y offset} -%D {width} {height} -%D \stoptyping -%D -%D When the scales are set to~1, the last last four values -%D are the same as the bounding box, e.g. -%D -%D \starttyping -%D \convertPDFtoPDF{mp-pra-1.pdf} {1} {1}{-1bp}{-1bp}{398bp}{398bp} -%D \convertPDFtoPDF{mp-pra-1.pdf}{.5}{.5} {0bp} {0bp}{199bp}{199bp} -%D \stoptyping -%D -%D Keep in mind, that this kind of copying only works for -%D pure and valid pdf code (without fonts). - -%D The scanning and copying is straightforward and quite fast. -%D To speed up things we use two constants. - -\def\@@PDFstream@@ {stream} -\def\@@PDFendstream@@ {endstream} - -%D \macros -%D {PDFmediaboxprefered} -%D -%D If needed, the macros can scan for the mediabox that -%D specifies the dimensions and offsets of the graphic. When -%D we say: -%D -%D \starttyping -%D \PDFmediaboxpreferedtrue -%D \stoptyping -%D -%D the mediabox present in the file superseded the user -%D specified, already scaled and calculated offset and -%D dimensions. Beware: the user supplied values are not the -%D bounding box ones! - -%D This code has become obsolete. - -% \newif\ifPDFmediaboxprefered - -\def\setPDFboundingbox#1#2#3#4#5#6% - {\dimen0=#1\dimen0=#5\dimen0 - \ScaledPointsToBigPoints{\number\dimen0}\PDFxoffset - \dimen0=#3\dimen0=#5\dimen0 - \xdef\PDFwidth{\the\dimen0}% - \dimen0=#2\dimen0=#6\dimen0 - \ScaledPointsToBigPoints{\number\dimen0}\PDFyoffset - \dimen0=#4\dimen0=#6\dimen0 - \xdef\PDFheight{\the\dimen0}% - \global\let\PDFxoffset\PDFxoffset - \global\let\PDFyoffset\PDFyoffset} - -\def\setPDFmediabox#1[#2 #3 #4 #5]#6\done - {\dimen2=#2bp\dimen2=-\dimen2 % \dimen2=-#2bp also works since tex handles -- - \dimen4=#3bp\dimen4=-\dimen4 % \dimen4=-#3bp also works since tex handles -- - \dimen6=#4bp\advance\dimen6 \dimen2 - \dimen8=#5bp\advance\dimen8 \dimen4 - \setPDFboundingbox{\dimen2}{\dimen4}{\dimen6}{\dimen8}\PDFxscale\PDFyscale} - -% \def\checkPDFmediabox#1/MediaBox#2#3\done -% {\ifx#2\relax \else -% \message{mediabox}% -% \setPDFmediabox#2#3\done -% \fi} - -%D We use the general macro \type{\doprocessfile} and feed this -%D with a line handling macro that changes it's behavior when -%D the stream operators are encountered. - -% \def\handlePDFline -% {\ifx\@@PDFstream@@\fileline -% \let\doprocessPDFline\copyPDFobject -% \startPDFtoPDF -% \else\ifPDFmediaboxprefered -% \expandafter\checkPDFmediabox\fileline/MediaBox\relax\done -% \fi\fi} - -% \def\copyPDFobject -% {\ifx\@@PDFendstream@@\fileline -% \ifPDFmediaboxprefered -% \let\doprocessPDFline\findPDFmediabox -% \else -% \let\doprocessPDFline\relax -% \fi -% \else -% \advance\scratchcounter 1 -% \PDFcode{\fileline}% -% \fi} - -% \def\findPDFmediabox -% {\expandafter\checkPDFmediabox\fileline/MediaBox\relax\done} - -%D The main conversion macro wraps the \PDF\ codes in a box -%D that is output as an object. The graphics are embedded -%D in~\type{q} and~\type{Q} and are scaled and positioned using -%D one transform call (\type{cm}). This saves some additional -%D scaling. - -%D \starttyping -%D \def\startPDFtoPDF% -%D {\setbox0=\vbox\bgroup -%D \message{[PDF to PDF \PDFfilename}% -%D \forgetall -%D \scratchcounter=0 -%D \let\stopPDFtoPDF=\dostopPDFtoPDF} -%D -%D \def\dostopPDFtoPDF% -%D {\ifnum\scratchcounter<0 \scratchcounter=1 \fi -%D \message{(\the\scratchcounter\space lines)]}% -%D \egroup -%D \wd0=\PDFwidth -%D \vbox to \PDFheight -%D {\forgetall -%D \vfill -%D \PDFcode{q}% -%D \PDFcode{1 0 0 1 \PDFxoffset\space \PDFyoffset\space cm}% -%D \PDFcode{\PDFxscale\space 0 0 \PDFyscale\space 0 0 cm}% -%D \box0 -%D \PDFcode{Q}}} -%D -%D \def\stopPDFtoPDF% -%D {\message{[PDF to PDF \PDFfilename\space not found]}} -%D -%D \def\convertPDFtoPDF#1#2#3#4#5#6#7% -%D {\bgroup -%D \def\PDFfilename{#1}% -%D \def\PDFxscale {#2}% -%D \def\PDFyscale {#3}% -%D \setPDFboundingbox{#4}{#5}{#6}{#7}{1}{1}% -%D \uncatcodespecials -%D \endlinechar=-1 -%D \let\doprocessPDFline=\handlePDFline -%D \doprocessfile\scratchread\PDFfilename\doprocessPDFline -%D \stopPDFtoPDF -%D \egroup} - -\def\convertPDFtoPDF#1#2#3#4#5#6#7% - {\message{[PDF to PDF use \string\PDFcode instead]}% - \vbox{use the direct method instead}} - -%D \macros -%D {dogetPDFmediabox} -%D -%D The next macro can be used to find the mediabox of a \PDF\ -%D illustration. -%D -%D \starttyping -%D \dogetPDFmediabox -%D {filename} -%D {new dimen}{new dimen}{new dimen}{new dimen} -%D \stoptyping -%D -%D Beware of dimen clashes: this macro uses the 5~default -%D scratch registers! When no file or mediabox is found, the -%D dimensions are zeroed. - -\def\dogetPDFmediabox#1#2#3#4#5% - {\bgroup - \def\PDFxscale{1}% - \def\PDFyscale{1}% - \uncatcodespecials - \endlinechar\minusone - \def\checkPDFtypepage##1/Type /Page##2##3\done% - {\ifx##2\relax - \else\if##2s% accept /Page and /Pages - \let\doprocessPDFline\findPDFmediabox - \else - \let\doprocessPDFline\findPDFmediabox - \fi\fi}% - \def\findPDFtypepage - {\expandafter\checkPDFtypepage\fileline/Type /Page\relax\done}% - \def\checkPDFmediabox##1/MediaBox##2##3\done% - {\ifx##2\relax \else - \setPDFmediabox##2##3\done - \fileprocessedtrue - \fi}% - \def\findPDFmediabox - {\expandafter\checkPDFmediabox\fileline/MediaBox\relax\done}% - \let\doprocessPDFline\findPDFtypepage - \doprocessfile\scratchread{#1}\doprocessPDFline - \egroup - \ifx\PDFxoffset\undefined - #2\zeropoint - #3\zeropoint - #4\zeropoint - #5\zeropoint - \else - #2=\PDFxoffset\onebasepoint - #3=\PDFyoffset\onebasepoint - #4=\PDFwidth - #5=\PDFheight - \fi} - -%D \macros -%D {convertMPtoPDF} -%D -%D The next set of macros implements \METAPOST\ to \PDF\ -%D conversion. Because we want to test as fast as possible, we -%D first define the \POSTSCRIPT\ operators that \METAPOST\ -%D uses. We don't define irrelevant ones, because these are -%D skipped anyway. - -%D The converter can be made a bit faster by replacing the -%D two test macros (the ones with the many \type {\if's}) by -%D a call to named branch macros (something \typ {\getvalue -%D {xPSmoveto}}. For everyday documents with relatively -%D small graphics the gain in speed can be neglected. - -\def \PScurveto {curveto} -\def \PSlineto {lineto} -\def \PSmoveto {moveto} -\def \PSshowpage {showpage} -\def \PSnewpath {newpath} -\def \PSfshow {fshow} -\def \PSclosepath {closepath} -\def \PSfill {fill} -\def \PSstroke {stroke} -\def \PSclip {clip} -\def \PSrlineto {rlineto} -\def \PSsetlinejoin {setlinejoin} -\def \PSsetlinecap {setlinecap} -\def \PSsetmiterlimit {setmiterlimit} -\def \PSsetgray {setgray} -\def \PSsetrgbcolor {setrgbcolor} -\def \PSsetcmykcolor {setcmykcolor} -\def \PSsetdash {setdash} -\def \PSgsave {gsave} -\def \PSgrestore {grestore} -\def \PStranslate {translate} -\def \PSscale {scale} -\def \PSconcat {concat} -\def \PSdtransform {dtransform} -\def \PSsetlinewidth {setlinewidth} -\def \PSpop {pop} - -\def \PSnfont {nfont} % was needed for TUG98 proceedings -\def \PSspecial {special} % extensions to MetaPost - -%D A previous version set \type {%} to ignore, which -%D simplified the following definitions. At the start of -%D conversion the percent character was made active again. -%D Because the whole graphic is one paragraph (there are no -%D empty lines) this does not give the desired effect. This -%D went unnoticed untill Scott Pakin sent me a test file -%D percent characters in a string. So, from now on we have -%D to prefix the following strings with percentages. - -\edef \PSBoundingBox {\letterpercent\letterpercent BoundingBox:} -\edef \PSHiResBoundingBox {\letterpercent\letterpercent HiResBoundingBox:} -\edef \PSExactBoundingBox {\letterpercent\letterpercent ExactBoundingBox:} -\edef \PSMetaPostSpecial {\letterpercent\letterpercent MetaPostSpecial:} -\edef \PSMetaPostSpecials {\letterpercent\letterpercent MetaPostSpecials:} -\edef \PSPage {\letterpercent\letterpercent Page:} - -%D By the way, the \type {setcmykcolor} operator is not -%D output by \METAPOST\ but can result from converting the -%D \cap{RGB} color specifications, as implemented in -%D \type{supp-mps}. - -%D In \POSTSCRIPT\ arguments precede the operators. Due to the -%D fact that in some translations we need access to those -%D arguments, and also because sometimes we have to skip them, -%D we stack them up. The stack is one||dimensional for non path -%D operators and two||dimensional for operators inside a path. -%D This is because we have to save the whole path for -%D (optional) postprocessing. Values are pushed onto the stack -%D by: -%D -%D \starttyping -%D \setMPargument {value} -%D \stoptyping -%D -%D They can be retrieved by the short named macros: -%D -%D \starttyping -%D \gMPa {number} -%D \gMPs {number} -%D \stoptyping -%D -%D When scanning a path specification, we also save the -%D operator, using -%D -%D \starttyping -%D \setMPkeyword {n} -%D \stoptyping -%D -%D The path drawing operators are coded for speed: \type{clip}, -%D \type{stroke}, \type{fill} and \type{fillstroke} become -%D 1, 2, 3 and~4. -%D -%D When processing the path this code can be retrieved -%D using -%D -%D \starttyping -%D \getMPkeyword % {n} -%D \stoptyping -%D -%D When setting an argument, the exact position on the stack -%D depends on the current value of the \COUNTERS\ -%D \type{\nofMPsegments} and \type{\nofMParguments}. - -\newcount\nofMPsegments -\newcount\nofMParguments - -%D These variables hold the coordinates. The argument part of -%D the stack is reset by: -%D -%D \starttyping -%D \resetMPstack -%D \stoptyping -%D -%D We use the prefix \type{@@MP} to keep the stack from -%D conflicting with existing macros. To speed up things a bit -%D more, we use the constant \type{\@@MP}. - -\def\@@MP{@@MP} - -\def\setMPargument% #1% - {\advance\nofMParguments \plusone - \expandafter\def - \csname\@@MP\the\nofMPsegments\the\nofMParguments\endcsname} % {#1} - -\def\letMPargument - {\advance\nofMParguments \plusone - \expandafter\let - \csname\@@MP\the\nofMPsegments\the\nofMParguments\endcsname} - -\def\setMPsequence#1 % - {\advance\nofMParguments \plusone - \expandafter\def - \csname\@@MP\the\nofMPsegments\the\nofMParguments\endcsname{#1}% - \handleMPsequence} - -\def\gMPa#1% - {\csname\@@MP0\number#1\endcsname} - -\def\gMPs#1% - {\csname\@@MP\the\nofMPsegments\number#1\endcsname} - -\def\dogMPa#1% - {\@EAEAEA\do\csname\@@MP0\number#1\endcsname} - -\def\setMPkeyword#1 % - {\expandafter\def\csname\@@MP\the\nofMPsegments0\endcsname{#1}% - \advance\nofMPsegments \plusone - \nofMParguments\zerocount} - -\def\getMPkeyword% #1% - {\csname\@@MP\the\nofMPsegments0\endcsname} % {\csname\@@MP#10\endcsname} - -%D When we reset the stack, we can assume that all further -%D comment is to be ignored and handled in strings. -%D By redefining the reset macro after the first call, we -%D save some run time. Only use this macro after all -%D comments are processed and use the simple alternative -%D when dealing with comments. - -\def\doresetMPstack - {\nofMParguments\zerocount} - -\def\resetMPstack - {\let\handleMPgraphic\handleMPendgraphic - \let\resetMPstack\doresetMPstack - \resetMPstack} - -%D The arguments are saved with the preceding command -%D \type{\do}. By default this command expands to nothing, but -%D when we deal with strings it's used to strip off the -%D \type{(} and \type{)}. -%D -%D Strings are kind of tricky, because characters can be -%D passed verbatim \type{(hello)}, by octal number -%D \type{(\005)} or as command \type{(\()}. We therefore -%D cannot simply ignore \type{(} and \type{)}, the way we do -%D with \type{[} and \type{]}. Another complication is that -%D strings may contain characters that normally have a -%D special meaning in \TEX, like \type{$} and \type{{}}. -%D -%D A previous solution made \type{\} an active character and -%D let it look ahead for a number or characters. We had to -%D abandon this scheme because of the need for verbatim -%D support. The next solution involved some \CATCODE\ -%D trickery but works well. - -\def\octalMPcharacter#1#2#3% - {\char'#1#2#3\relax} - -\bgroup -\catcode`\|=\@@comment -\catcode`\%=\@@active -\catcode`\[=\@@active -\catcode`\]=\@@active -\catcode`\{=\@@active -\catcode`\}=\@@active -\catcode`B=\@@begingroup -\catcode`E=\@@endgroup -\gdef\ignoreMPspecials| - B\let%\letterpercent| - \def[BE| - \def]BE| - \def{BE| - \def}BEE -\gdef\obeyMPspecials| - B\def%B\char 37\relax E| - \def[B\char 91\relax E| - \def]B\char 93\relax E| - \def{B\char123\relax E| - \def}B\char125\relax EE -\gdef\setMPspecials| - B\setnaturalcatcodes - \catcode`\\=\@@escape - \catcode`\%=\@@active - \catcode`\[=\@@active - \catcode`\]=\@@active - \catcode`\{=\@@active - \catcode`\}=\@@active - \lccode`\-=0 | latex sets this to `\- - \lccode`\%=`\% | otherwise it's seen as a number - \def\(B\char40\relax E| - \def\)B\char41\relax E| - \def\\B\char92\relax E| - \def\0B\octalMPcharacter0E| - \def\1B\octalMPcharacter1E| - \def\2B\octalMPcharacter2E| - \def\3B\octalMPcharacter3E| - \def\4B\octalMPcharacter4E| - \def\5B\octalMPcharacter5E| - \def\6B\octalMPcharacter6E| - \def\7B\octalMPcharacter7E| - \def\8B\octalMPcharacter8E| - \def\9B\octalMPcharacter9EE -\egroup - -%D We use the comment symbol as a sort of trigger. Beware! -%D The whole graphic is seen as on eparagraph, which means -%D that we cannot change the catcodes in between. - -\bgroup -\catcode`\%=\@@active -\gdef\startMPscanning{\let%=\startMPconversion} -\egroup - -%D In earlier versions we used the sequence -%D -%D \starttyping -%D \expandafter\handleMPsequence\input filename\relax -%D \stoptyping -%D -%D Persistent problems in \LATEX\ however forced us to use a -%D different scheme. Every \POSTSCRIPT\ file starts with a -%D \type{%}, so we temporary make this an active character -%D that starts the scanning and redefines itself. (The problem -%D originates in the redefinition by \LATEX\ of the -%D \type{\input} primitive.) - -\def\startMPconversion - {\ignoreMPspecials - \handleMPsequence} - -%D Here comes the main loop. Most arguments are numbers. This -%D means that they can be recognized by their \type{\lccode}. -%D This method saves a lot of processing time. We could -%D speed up the conversion by handling the \type{path} -%D seperately. - -\def\@EAEAEA{\expandafter\expandafter\expandafter} % to be sure - -\def\dohandleMPsequence#1% - {\ifdone - \ifcase\lccode`#1\relax - \@EAEAEA\dohandleMPsequenceA - \else - \@EAEAEA\dohandleMPsequenceB - \fi - \else - \@EA\dohandleMPsequenceC - \fi#1} - -%\def\dohandleMPsequenceA#1 % -% {\setMPargument{#1}% -% \handleMPsequence} - -\let\dohandleMPsequenceA\setMPsequence - -\def\dohandleMPsequenceB#1 % - {\edef\somestring{#1}% - \ifx\somestring\PSmoveto - \edef\lastMPmoveX{\gMPa1}% - \edef\lastMPmoveY{\gMPa2}% - \PDFcode{\!MPgMPa1 \!MPgMPa2 m}% - \resetMPstack - \else\ifx\somestring\PSnewpath - \let\handleMPsequence\handleMPpath - \else\ifx\somestring\PSgsave - \PDFcode{q}% - \resetMPstack - \else\ifx\somestring\PSgrestore - \PDFcode{Q}% - \resetMPstack - \else\ifx\somestring\PSdtransform % == setlinewidth - \let\handleMPsequence\handleMPdtransform - % after that we will encounter more tokens until setlinewidth+pop - % or pop+setlinewidth which we catch next; we explicitly need to - % reset the stack since [] n setdash may follow; a more clever - % approach would be to read on till the condition is met, but it's - % the only pop / setlinewidth we will encounter so ... - \else\ifx\somestring\PSsetlinewidth - % already handled in dtransform - \resetMPstack - \else\ifx\somestring\PSpop - % already handled in dtransform - \resetMPstack - \else\ifx\somestring\PSconcat - \PDFcode{\gMPa1 \gMPa2 \gMPa3 \gMPa4 \gMPa5 \gMPa6 cm}% - \resetMPstack - \else\ifx\somestring\PSsetrgbcolor - \handleMPrgbcolor - \resetMPstack - \else\ifx\somestring\PSsetcmykcolor - \handleMPcmykcolor - \resetMPstack - \else\ifx\somestring\PSsetgray - \handleMPgraycolor - \resetMPstack - \else\ifx\somestring\PStranslate - \PDFcode{1 0 0 1 \gMPa1 \gMPa2 cm}% - \resetMPstack - \else\ifx\somestring\PSsetdash - \handleMPsetdash - \resetMPstack - \else\ifx\somestring\PSsetlinejoin - \PDFcode{\gMPa1 j}% - \resetMPstack - \else\ifx\somestring\PSsetmiterlimit - \PDFcode{\gMPa1 M}% - \resetMPstack - \else\ifx\somestring\PSfshow - \PDFcode{n}% - \handleMPfshow - \resetMPstack - \else\ifx\somestring\PSsetlinecap - \PDFcode{\gMPa1 J}% - \resetMPstack - \else\ifx\somestring\PSrlineto - \PDFcode{\!MP\lastMPmoveX\space\!MP\lastMPmoveY\space l S}% - \resetMPstack - \else\ifx\somestring\PSscale - \PDFcode{\gMPa1 0 0 \gMPa2 0 0 cm}% - \resetMPstack - \else\ifx\somestring\PSspecial - \handleMPspecialcommand - \resetMPstack - \else - \handleMPgraphic% {#1}% - \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi - \handleMPsequence} - -\def\dohandleMPsequenceC#1 % - {\edef\somestring{#1}% - \handleMPgraphic % {#1}% - \handleMPsequence} - -%D Since colors are not sensitive to transformations, they -%D are sometimes used for signaling. Therefore, we handle them -%D separately. The next macro can be redefined if needed. - -\def\handleMPrgbcolor - {\PDFcode{\!MPgMPa1 \!MPgMPa2 \!MPgMPa3 rg - \!MPgMPa1 \!MPgMPa2 \!MPgMPa3 RG}} - -\def\handleMPcmykcolor - {\PDFcode{\!MPgMPa1 \!MPgMPa2 \!MPgMPa3 \!MPgMPa4 k - \!MPgMPa1 \!MPgMPa2 \!MPgMPa3 \!MPgMPa4 K}} - -\def\handleMPgraycolor - {\PDFcode{\!MPgMPa1 g - \!MPgMPa1 G}} - -\def\handleMPspotcolor - {\PDFcode{0 g - 0 G}} - -%D Beginning and ending the graphics is taken care of by the -%D macro \type{\handleMPgraphic}, which is redefined when -%D the first graphics operator is met. - -\def\handleMPendgraphic % #1% - {\ifx\somestring\PSshowpage - \let\handleMPsequence\finishMPgraphic - \else - \letMPargument\somestring % {#1}% - \fi} - -\def\handleMPbegingraphic % #1% - {\ifx\somestring\PSBoundingBox - \def\handleMPsequence{\handleMPboundingbox1}% - \else\ifx\somestring\PSHiResBoundingBox - \def\handleMPsequence{\handleMPboundingbox2}% - \else\ifx\somestring\PSExactBoundingBox - \def\handleMPsequence{\handleMPboundingbox3}% - \else\ifx\somestring\PSshowpage - \let\handleMPsequence\finishMPgraphic - \else\ifx\somestring\PSPage - \let\handleMPsequence\handleMPpage - \else\ifx\somestring\PSMetaPostSpecials - \let\handleMPsequence\handleMPspecialscomment - \else\ifx\somestring\PSMetaPostSpecial - \let\handleMPsequence\handleMPspecialcomment - \else - \letMPargument\somestring % {#1}% - \fi\fi\fi\fi\fi\fi\fi} - -\let\handleMPgraphic=\handleMPbegingraphic - -%D We check for three kind of bounding boxes: the normal one -%D and two high precision ones: -%D -%D \starttyping -%D BoundingBox: llx lly ucx ucy -%D HiResBoundingBox: llx lly ucx ucy -%D ExactBoundingBox: llx lly ucx ucy -%D \stoptyping -%D -%D The original as well as the recalculated dimensions are -%D saved for later use. - -\newif\ifskipemptyMPgraphic \skipemptyMPgraphicfalse - -\chardef\currentMPboundingbox=0 - -\def\handleMPboundingbox#1#2 #3 #4 #5 - {\ifnum#1>\currentMPboundingbox - \xdef\MPllx{#2}\xdef\MPlly{#3}% - \xdef\MPurx{#4}\xdef\MPury{#5}% - \dimen0=#2\onepoint - \dimen0=-\MPxscale\dimen0 - \dimen2=#3\onepoint - \dimen2=-\MPyscale\dimen2 - \xdef\MPxoffset{\withoutpt\the\dimen0}% - \xdef\MPyoffset{\withoutpt\the\dimen2}% - \dimen0=#2\onebasepoint - \dimen0=-\dimen0 - \dimen2=#3\onebasepoint - \dimen2=-\dimen2 - \advance\dimen0 #4\onebasepoint - \dimen0=\MPxscale\dimen0 - \xdef\MPwidth{\the\dimen0}% - \advance\dimen2 #5\onebasepoint - \xdef\MPyshift{\the\dimen2}% unscaled - \dimen2=\MPyscale\dimen2 - \xdef\MPheight{\the\dimen2}% - \chardef\currentMPboundingbox#1\relax - \fi - \doresetMPstack - \let\handleMPsequence\dohandleMPsequence - \let\next\handleMPsequence - \ifskipemptyMPgraphic - \ifdim\MPheight=\zeropoint\relax\ifdim\MPwidth=\zeropoint\relax - \def\next{\endinput\finishMPgraphic}% - \fi\fi - \fi - \next} - -%D Unless defined otherwise, we simply ignore specialcomments. - -\def\handleMPspecialcomment - {\doresetMPstack - \let\handleMPsequence\dohandleMPsequence - \handleMPsequence} - -\let\handleMPspecialscomment\handleMPspecialcomment - -%D We use the \type{page} comment as a signal that -%D stackbuilding can be started. - -\def\handleMPpage #1 #2 - {\doresetMPstack - \donetrue - \let\handleMPsequence\dohandleMPsequence - \handleMPsequence} - -%D The same applies to the special extensions. - -\def\handleMPspecialcommand - {\doresetMPstack - \let\handleMPsequence\dohandleMPsequence - \handleMPsequence} - -%D \METAPOST\ draws its dots by moving to a location and -%D invoking \type{0 0 rlineto}. This operator is not -%D available in \PDF. Our solution is straightforward: we draw -%D a line from $(current\_x, current\_y)$ to itself. This -%D means that the arguments of the preceding \type{moveto} have -%D to be saved. - -\def\lastMPmoveX{0} -\def\lastMPmoveY{0} - -%D These saved coordinates are also used when we handle the -%D texts. Text handling proved to be a bit of a nuisance, but -%D finally I saw the light. It proved that we also had to -%D take care of \type{(split arguments)}. - -\def\setMPfshowfont#1#2% - {\font\temp=#1\space at #2\relax\temp} - -\let\MPfshowcommand\empty - -\def\dohandleMPfshow - {\bgroup - \setbox\scratchbox\hbox - {\obeyMPspecials - \edef\size{\gMPa\nofMParguments}% - \ifx\size\PSnfont % round font size (to pt) - \advance\nofMParguments \minusone - \expandafter\scratchdimen\gMPa\nofMParguments\onepoint\relax - \ifdim\scratchdimen<\onepoint - \def\size{1pt}% - \else - \advance\scratchdimen .5\onepoint - \def\size##1.##2\relax{\def\size{##1pt}}% - \expandafter\size\the\scratchdimen\relax - \fi - \else - \edef\size{\size bp}% - \fi - \advance\nofMParguments \minusone - %\font\temp=\gMPa\nofMParguments\space at \size - \let\temp\relax % to be sure - \setMPfshowfont{\gMPa\nofMParguments}\size - \advance\nofMParguments \minusone - \temp - \MPfshowcommand - {\ifnum\nofMParguments=\plusone - \def\do(##1){##1}% - \dogMPa1% - \else - % we need to catch ( a ) (a a a) (\123 \123 \123) etc - \scratchcounter\plusone - \def\dodo##1% Andreas Fieger's bug: (\304...) - {\edef\!!stringa{##1\empty\empty}% and another one: ( 11) -> \ifx 11 - \ifx\!!stringa\MPspacechar\MPspacechar\else\expandafter##1\fi}% - \def\do(##1{\dodo{##1}}% - \dogMPa\scratchcounter\MPspacechar - \let\do\relax - \loop - \advance\scratchcounter \plusone - \ifnum\scratchcounter<\nofMParguments\relax - \gMPa\scratchcounter\MPspacechar - \repeat - \def\do##1){\dodo{##1}}% - \dogMPa\scratchcounter - \fi - \unskip}}% - % - % this fails in some versions of pdftex - % - % \dimen0=\lastMPmoveY bp - % \advance\dimen0 by \ht0 - % \ScaledPointsToBigPoints{\number\dimen0}\lastMPmoveY - % \PDFcode{n q 1 0 0 1 \lastMPmoveX\space\lastMPmoveY\space cm}% - % \dimen0=\ht0 - % \advance\dimen0 by \dp0 - % \box0 - % \vskip-\dimen0 - % \PDFcode{Q}% - % \egroup} - % - \setbox\scratchbox\hbox - {\hskip\lastMPmoveX\onebasepoint\raise\lastMPmoveY\onebasepoint\box\scratchbox}% - \ht\scratchbox\zeropoint - \dp\scratchbox\zeropoint - \wd\scratchbox\zeropoint - \box\scratchbox - \egroup} - -\let\handleMPfshow\dohandleMPfshow % so we can overload this one later - -%D You could consider the following definition to be the most -%D natural one. - -% \def\MPspacechar{\space} % normal case - -\def\MPspacechar{\char32\relax} % old solution does not work with math - -%D However, the following implementation is more robust, since -%D some fonts have funny visible spaces in the space slot. This -%D gives a mismatch between the space that \METAPOST\ took into -%D account and the \quote {natural} space. This only happens in -%D labels, since \type {btex}||\type {etex} thingies don't have -%D spaces. This phenomena showed up when preparing the -%D \METAFUN\ manual, where Palatino fonts are used. We can -%D safely assume that \METAPOST\ considers \type {\char32} to -%D be the space. - -\def\MPspacechar{\setbox\scratchbox\hbox{\char32}\kern\wd\scratchbox} - -%D Well, this does not work with math fonts, so: - -\def\MPspacechar{\char32\relax} - -%D Most operators are just converted and keep their -%D arguments. Dashes however need a bit different treatment, -%D otherwise \PDF\ viewers complain loudly. Another -%D complication is that one argument comes after the \type{]}. -%D When reading the data, we simply ignore the array boundary -%D characters. We save ourselves some redundant newlines and -%D at the same time keep the output readable by packing the -%D literals. - -\def\handleMPsetdash - {\bgroup - \def\somestring{[}% - \scratchcounter\plusone - \loop - \ifnum\scratchcounter<\nofMParguments - \edef\somestring{\somestring\space\gMPa\scratchcounter}% - \advance\scratchcounter \plusone - \repeat - \edef\somestring{\somestring]\gMPa\scratchcounter\space d}% - \PDFcode{\somestring}% - \egroup} - -%D The \type{setlinewidth} commands looks a bit complicated. There are -%D two alternatives, that result in a similar look in both -%D $x$- and $y$-dorection. As John Hobby says: -%D -%D \startnarrower \switchtobodyfont[ss] -%D \starttyping -%D x 0 dtransform exch truncate exch idtransform pop setlinewidth -%D 0 y dtransform truncate idtransform setlinewidth pop -%D \stoptyping -%D -%D These are just fancy versions of \type{x setlinewidth} and -%D \type{y setlinewidth}. The \type{x 0 ...} form is used if -%D the path is {\em primarily vertical}. It rounds the width -%D so that vertical lines come out an integer number of pixels -%D wide in device space. The \type{0 y ...} form does the same -%D for paths that are {\em primarily horizontal}. The reason -%D why I did this is Knuth insists on getting exactly the -%D widths \TEX\ intends for the horizontal and vertical rules -%D in \type{btex...etex} output. (Note that PostScript scan -%D conversion rules cause a horizontal or vertical line of -%D integer width $n$ in device space to come out $n+1$ pixels -%D wide, regardless of the phase relative to the pixel grid.) -%D \stopnarrower -%D -%D The common operator in these sequences is \type{dtransform}, -%D so we can use this one to trigger setting the linewidth. - -\def\handleMPdtransform - {\ifdim\gMPa1\onepoint>\zeropoint - \PDFcode{\gMPa1 w}% - \def\next##1 ##2 ##3 ##4 ##5 ##6 {\handleMPsequence}% - \else - \PDFcode{\gMPa2 w}% - \def\next##1 ##2 ##3 ##4 {\handleMPsequence}% - \fi - \let\handleMPsequence\dohandleMPsequence - \resetMPstack - \next} - -%D The most complicated command is \type{concat}. \METAPOST\ -%D applies this operator to \type{stroke}. At that moment the -%D points set by \type{curveto} and \type{moveto}, are already -%D fixed. In \PDF\ however the \type{cm} operator affects the -%D points as well as the pen (stroke). Like more \PDF\ -%D operators, \type{cm} is defined in a bit ambiguous way. -%D The only save route for non||circular penshapes, is saving -%D the path, recalculating the points and applying the -%D transformation matrix in such a way that we can be sure -%D that its behavior is well defined. This comes down to -%D inverting the path and applying \type{cm} to that path as -%D well as the pen. This all means that we have to save the -%D path. - -%D In \METAPOST\ there are three ways to handle a path $p$: -%D -%D \starttyping -%D draw p; fill p; filldraw p; -%D \stoptyping -%D -%D The last case outputs a \type{gsave fill grestore} before -%D \type{stroke}. Handling the path outside the main loops -%D saves about 40\% run time.\footnoot{We can save some more by -%D following the \METAPOST\ output routine, but for the moment -%D we keep things simple.} Switching between the main loop and -%D the path loop is done by means of the recursely called -%D macro \type{\handleMPsequence}. - -\def\handleMPpath - {\chardef\finiMPpath0 - \let\closeMPpath\relax - \let\flushMPpath\flushnormalMPpath - \resetMPstack - \nofMPsegments\plusone - \let\handleMPsequence\dohandleMPpath - \dohandleMPpath} - -%D Most paths are drawn with simple round pens. Therefore we've -%D split up the routine in two. - -\def\flushnormalMPsegment - {\ifcase\getMPkeyword\relax - \PDFcode{\!MPgMPs1 \!MPgMPs2 l}% - \or - \PDFcode{\!MPgMPs1 \!MPgMPs2 \!MPgMPs3 \!MPgMPs4 \!MPgMPs5 \!MPgMPs6 c}% - \or - \PDFcode{\!MP\lastMPmoveX\space\!MP\lastMPmoveY\space l S}% - \or - \edef\lastMPmoveX{\gMPs1}% evt \!MP here - \edef\lastMPmoveY{\gMPs2}% - \PDFcode{\!MP\lastMPmoveX\space \!MP\lastMPmoveY\space m}% - \fi} - -\def\flushconcatMPsegment - {\ifcase\getMPkeyword\relax - \doMPconcat{\gMPs1}\a{\gMPs2}\b% - \PDFcode{\!MP\a\space\!MP\b\space l}% - \or - \doMPconcat{\gMPs1}\a{\gMPs2}\b% - \doMPconcat{\gMPs3}\c{\gMPs4}\d% - \doMPconcat{\gMPs5}\e{\gMPs6}\f% - \PDFcode{\!MP\a\space\!MP\b\space - \!MP\c\space\!MP\d\space - \!MP\e\space\!MP\f\space c}% - \or - \bgroup - \noMPtranslate - \doMPconcat\lastMPmoveX\a\lastMPmoveY\b% - \PDFcode{\!MP\a\space\!MP\b\space l S}% - \egroup - \or - \edef\lastMPmoveX{\gMPs1}% - \edef\lastMPmoveY{\gMPs2}% - \doMPconcat\lastMPmoveX\a\lastMPmoveY\b% - \PDFcode{\!MP\a\space\!MP\b\space m}% - \fi} - -% \def\flushnormalMPpath -% {\scratchcounter\nofMPsegments -% \nofMPsegments\plusone -% \loop -% \flushnormalMPsegment -% \advance\nofMPsegments \plusone -% \ifnum\nofMPsegments<\scratchcounter -% \repeat} -% -% \def\flushconcatMPpath -% {\scratchcounter\nofMPsegments -% \nofMPsegments\plusone -% \loop -% \flushconcatMPsegment -% \advance\nofMPsegments \plusone -% \ifnum\nofMPsegments<\scratchcounter -% \repeat} -% -% an alternative is presented below: (no \def assignment) - -\def\doflushsomeMPpath - {\dodoflushsomeMPpath - \advance\nofMPsegments \plusone - \ifnum\nofMPsegments<\scratchcounter - \expandafter\doflushsomeMPpath - \fi} - -\def\flushsomeMPpath - {\scratchcounter\nofMPsegments - \nofMPsegments\plusone - \doflushsomeMPpath} - -\def\flushnormalMPpath{\let\dodoflushsomeMPpath\flushnormalMPsegment\flushsomeMPpath} - -%OLD \def\flushconcatMPpath{\let\dodoflushsomeMPpath\flushconcatMPsegment\flushsomeMPpath} - -%NEW pre-calculate 1/D so it needn't be repeated for each control point. - -\def\flushconcatMPpath - {\MPreciprocaldeterminant - \let\dodoflushsomeMPpath\flushconcatMPsegment\flushsomeMPpath} - -%D The transformation of the coordinates is handled by one of -%D the macros Tanmoy posted to the \PDFTEX\ mailing list. -%D I rewrote and optimized the original macro to suit the other -%D macros in this module. -%D -%D \starttyping -%D \doMPconcat {x position} \xresult {y position} \yresult -%D \stoptyping -%D -%D By setting the auxiliary \DIMENSIONS\ \type{\dimen0} upto -%D \type{\dimen10} only once per path, we save over 20\% run -%D time. Some more speed was gained by removing some parameter -%D passing. These macros can be optimized a bit more by using -%D more constants. There is however not much need for further -%D optimization because penshapes usually are round and -%D therefore need no transformation. Nevertheless we move the -%D factor to the outer level and use a bit different \type{pt} -%D removal macro. Although the values represent base points, -%D we converted them to pure points, simply because those can -%D be converted back. - -%OLD \mathchardef\MPconcatfactor=256 % beware don't remove spaces before it - -%OLD \def\doMPreducedimen#1 -%OLD {\count0\MPconcatfactor -%OLD \advance\dimen#1 \ifdim\dimen#1>\zeropoint .5\else -.5\fi\count0 -%OLD \divide\dimen#1 \count0\relax} - -%OLD % too inaccurate (see old pragma logo) -%OLD -%OLD \def\doMPreducedimen#1 -%OLD {\count0=\MPconcatfactor -%OLD \divide\dimen#1 \count0\relax} - -%OLD \def\doMPreducedimen#1 -%OLD {\advance\dimen#1 \ifdim\dimen#1>\zeropoint .5\else -.5\fi\MPconcatfactor -%OLD \divide\dimen#1 \MPconcatfactor} - -%D The transformation code is rewritten by Daniel H. Luecking who -%D describes his patch as follows: -%D -%D We would like to divide 1 by $X4, but all divisions are integer so -%D for accuracy we want to convert to large integers and make sure the -%D integer quotient has as many significant digits as possible. Thus we -%D need to replace $1/X$ with $M/N$ where $N$ is as large as possible -%D and $M/N$ is as large as possible. Also for simplicity $M$ should be -%D a power of 2. So we make $M = 2^{30}$ \footnote{$2^{31} - 1$ is the -%D largest legal integer. Using it (and simply ignoring the inaccuracy -%D caused by $-1$) turns out to be at least as accurate in all cases, -%D and more accurate in some.} (largest legal power of 2) and adjust -%D $X4 downward (if necessary) to the the range $1-2^{16}$. This gives -%D at least 15 significant binary digits, (almost as accurate as -%D \METAPOST\ for numbers near 1) or almost 5 significant figures -%D (decimal). - -\newcount\MPscratchCnt -\newdimen\MPscratchDim % will be assigned global - -\def\MPadjustdimen % sets \MPscratchDim and \MPscratchCnt - {\MPscratchCnt\zerocount - \doMPadjustdimen} - -\def\doMPadjustdimen - {\ifdim\MPscratchDim>\onepoint - \divide\MPscratchDim 2 - \advance\MPscratchCnt \plusone - \expandafter\doMPadjustdimen - \fi} - -%OLD \def\doMPexpanddimen#1 -%OLD {\multiply\dimen#1 \MPconcatfactor\relax} - -%D DHL: When viewed as an integer, $1 \hbox{pt}=2^{16}$ so $2^{32}/X$ -%D is the right way to do $(1 \hbox{pt})/(X \hbox{pt})$ and get the -%D answer in points. But we are limited to $2^{30}/X$. However, we -%D actually do $[ 2^{30} / (X/2^K) ]*2^{2-K}$ where $K$ is the number -%D of halvings it takes to bring $X4 below $1 \hbox{pt}$. If $K$ is 0 -%D or 1 we readjust by multiplying by 4 or 2, otherwise by halving -%D $(K-2)$ times \type {\MPscratchCnt} holds the value of $K$ from -%D \type {\MPadjustdimen}. - -\def\MPreadjustdimen % acts on \MPscratchDim and MPscratchCnt - {\ifcase\MPscratchCnt - \multiply\MPscratchDim 4 - \or - \multiply\MPscratchDim 2 - \else - \expandafter\doMPreadjustdimen - \fi} - -\def\doMPreadjustdimen - {\ifnum\MPscratchCnt > 2 - \divide\MPscratchDim 2 - \advance\MPscratchCnt \minusone - \expandafter\doMPreadjustdimen - \fi} - -\def\MPreciprocaldeterminant - {\MPscratchDim\withoutpt\the\dimen0 \dimen6 % s_x*s_y - \advance\MPscratchDim - \withoutpt\the\dimen2 \dimen4 % s_x*s_y - r_x*r_y - \ifdim\MPscratchDim<\zeropoint % we need a positive dimension - \MPscratchDim-\MPscratchDim % for \MPadjustdimen - \doMPreciprocal - \MPscratchDim-\MPscratchDim - \else - \doMPreciprocal - \fi} - -\newcount\MPnumerator \MPnumerator = 1073741824 % 2^{30} - -% todo: dimexpr - -\def\doMPreciprocal % replace \MPscratchDim with its reciprocal - {\ifdim\MPscratchDim=\onepoint \else - \MPadjustdimen - \scratchcounter\MPnumerator - \divide\scratchcounter\MPscratchDim - \MPscratchDim1\scratchcounter % 1 needed ! - \MPreadjustdimen - \fi} - -%OLD \def\presetMPconcat -%OLD {\dimen 0=\gMPs1\onepoint \doMPreducedimen 0 % r_x -%OLD \dimen 2=\gMPs2\onepoint \doMPreducedimen 2 % s_x -%OLD \dimen 4=\gMPs3\onepoint \doMPreducedimen 4 % s_y -%OLD \dimen 6=\gMPs4\onepoint \doMPreducedimen 6 % r_y -%OLD \dimen 8=\gMPs5\onepoint \doMPreducedimen 8 % t_x -%OLD \dimen10=\gMPs6\onepoint \doMPreducedimen10 } % t_y -%OLD -%OLD \def\presetMPscale -%OLD {\dimen 0=\gMPs1\onepoint \doMPreducedimen 0 -%OLD \dimen 2 \zeropoint -%OLD \dimen 4 \zeropoint -%OLD \dimen 6=\gMPs2\onepoint \doMPreducedimen 6 -%OLD \dimen 8 \zeropoint -%OLD \dimen10 \zeropoint} - -\def\presetMPconcat - {\dimen 0=\gMPs1\onepoint % s_x - \dimen 2=\gMPs2\onepoint % r_x - \dimen 4=\gMPs3\onepoint % r_y - \dimen 6=\gMPs4\onepoint % s_y - \dimen 8=\gMPs5\onepoint % t_x - \dimen10=\gMPs6\onepoint} % t_y - -\def\presetMPscale - {\dimen 0=\gMPs1\onepoint - \dimen 2 \zeropoint - \dimen 4 \zeropoint - \dimen 6=\gMPs2\onepoint - \dimen 8 \zeropoint - \dimen10 \zeropoint} - -\def\noMPtranslate % use this one grouped - {\dimen 8 \zeropoint % t_x - \dimen10 \zeropoint} % t_y - -%D \starttyping -%D \def\doMPconcat#1#2#3#4% -%D {\dimen12=#1 pt \doMPreducedimen12 % p_x -%D \dimen14=#3 pt \doMPreducedimen14 % p_y -%D % -%D \dimen16 \dimen 0 -%D \multiply \dimen16 \dimen 6 -%D \dimen20 \dimen 2 -%D \multiply \dimen20 \dimen 4 -%D \advance \dimen16 -\dimen20 -%D % -%D \dimen18 \dimen12 -%D \multiply \dimen18 \dimen 6 -%D \dimen20 \dimen14 -%D \multiply \dimen20 \dimen 4 -%D \advance \dimen18 -\dimen20 -%D \dimen20 \dimen 4 -%D \multiply \dimen20 \dimen10 -%D \advance \dimen18 \dimen20 -%D \dimen20 \dimen 6 -%D \multiply \dimen20 \dimen 8 -%D \advance \dimen18 -\dimen20 -%D % -%D \multiply \dimen12 -\dimen 2 -%D \multiply \dimen14 \dimen 0 -%D \advance \dimen12 \dimen14 -%D \dimen20 \dimen 2 -%D \multiply \dimen20 \dimen 8 -%D \advance \dimen12 \dimen20 -%D \dimen20 \dimen 0 -%D \multiply \dimen20 \dimen10 -%D \advance \dimen12 -\dimen20 -%D % -%D \doMPreducedimen16 -%D \divide \dimen18 \dimen16 \doMPexpanddimen18 -%D \divide \dimen12 \dimen16 \doMPexpanddimen12 -%D % -%D \edef#2{\withoutpt\the\dimen18}% % p_x^\prime -%D \edef#4{\withoutpt\the\dimen12}} % p_y^\prime -%D \stoptyping - -%D The following optimization resulted from some tests by -%D and email exchanges with Sanjoy Mahajan. -%D -%D \starttyping -%D \def\doMPconcat#1#2#3#4% -%D {\dimen12=#1 pt \doMPreducedimen12 % p_x -%D \dimen14=#3 pt \doMPreducedimen14 % p_y -%D % -%D \dimen16 \dimen 0 -%D \multiply \dimen16 \dimen 6 -%D \dimen20 \dimen 2 -%D \multiply \dimen20 \dimen 4 -%D \advance \dimen16 -\dimen20 -%D % -%D \dimen18 \dimen12 -%D \multiply \dimen18 \dimen 6 -%D \dimen20 \dimen14 -%D \multiply \dimen20 \dimen 4 -%D \advance \dimen18 -\dimen20 -%D \dimen20 \dimen 4 -%D \multiply \dimen20 \dimen10 -%D \advance \dimen18 \dimen20 -%D \dimen20 \dimen 6 -%D \multiply \dimen20 \dimen 8 -%D \advance \dimen18 -\dimen20 -%D % -%D \multiply \dimen12 -\dimen 2 -%D \multiply \dimen14 \dimen 0 -%D \advance \dimen12 \dimen14 -%D \dimen20 \dimen 2 -%D \multiply \dimen20 \dimen 8 -%D \advance \dimen12 \dimen20 -%D \dimen20 \dimen 0 -%D \multiply \dimen20 \dimen10 -%D \advance \dimen12 -\dimen20 -%D % -%D %\ifdim\dimen16>1pt % oeps, can be < 1pt too -%D \ifdim\dimen16=1pt \else -%D \ifdim\dimen16>\MPconcatfactor pt -%D \doMPreducedimen16 -%D \divide \dimen18 \dimen16 \doMPexpanddimen18 -%D \divide \dimen12 \dimen16 \doMPexpanddimen12 -%D \else -%D \divide \dimen18 \dimen16 \doMPexpanddimen18 \doMPexpanddimen18 -%D \divide \dimen12 \dimen16 \doMPexpanddimen12 \doMPexpanddimen12 -%D \fi -%D \fi -%D % -%D \edef#2{\withoutpt\the\dimen18}% % p_x^\prime -%D \edef#4{\withoutpt\the\dimen12}} % p_y^\prime -%D \stoptyping -%D -%D But, this one is still too inaccurate, so we now have: - -% \def\doMPconcat#1#2#3#4% -% {\dimen12=#1pt % p_x -% \dimen14=#3pt % p_y -% % -% % we should test for >-1024 too, but for the moment take the gamble -% \chardef\MPfactor1\ifdim\dimen12<1024pt \ifdim\dimen14<1024pt 6\fi\fi -% % -% \multiply\dimen12 \MPfactor -% \multiply\dimen14 \MPfactor -% % -% \doMPreducedimen12 -% \doMPreducedimen14 -% % -% \dimen16 \dimen 0 -% \multiply \dimen16 \dimen 6 -% \dimen20 \dimen 2 -% \multiply \dimen20 \dimen 4 -% \advance \dimen16 -\dimen20 -% % -% \dimen18 \dimen12 -% \multiply \dimen18 \dimen 6 -% \dimen20 \dimen14 -% \multiply \dimen20 \dimen 4 -% \advance \dimen18 -\dimen20 -% \dimen20 \dimen 4 -% \multiply \dimen20 \dimen10 -% \advance \dimen18 \dimen20 -% \dimen20 \dimen 6 -% \multiply \dimen20 \dimen 8 -% \advance \dimen18 -\dimen20 -% % -% \multiply \dimen12 -\dimen 2 -% \multiply \dimen14 \dimen 0 -% \advance \dimen12 \dimen14 -% \dimen20 \dimen 2 -% \multiply \dimen20 \dimen 8 -% \advance \dimen12 \dimen20 -% \dimen20 \dimen 0 -% \multiply \dimen20 \dimen10 -% \advance \dimen12 -\dimen20 -% % -% \ifdim\dimen16=1pt \else -% \ifdim\dimen16>\MPconcatfactor pt -% \doMPreducedimen16 -% \divide \dimen18 \dimen16 \doMPexpanddimen18 -% \divide \dimen12 \dimen16 \doMPexpanddimen12 -% \else -% \divide \dimen18 \dimen16 \doMPexpanddimen18 \doMPexpanddimen18 -% \divide \dimen12 \dimen16 \doMPexpanddimen12 \doMPexpanddimen12 -% \fi -% \fi -% % -% \divide\dimen18 \MPfactor -% \divide\dimen12 \MPfactor -% % -% \edef#2{\withoutpt\the\dimen18}% % p_x^\prime -% \edef#4{\withoutpt\the\dimen12}} % p_y^\prime - -%D We cannot use \type {\beginETEX} here since in plain we -%D get \type {\outer} problems, sigh. - -%OLD \beginTEX -%OLD -%OLD \def\MPcriteriumA {512pt} % scale -%OLD \def\MPcriteriumB {2pt} % scale -%OLD -%OLD \endTEX -%OLD -%OLD \ifx\MPcriteriumA\undefined -%OLD -%OLD \newdimen\MPcriteriumA \MPcriteriumA=512pt -%OLD \newdimen\MPcriteriumB \MPcriteriumB= 2pt -%OLD -%OLD \fi - -%OLD \def\doMPconcat#1#2#3#4% -%OLD {\dimen12=#1pt % p_x -%OLD \dimen14=#3pt % p_y -%OLD % -%OLD \chardef\MPfactor\zerocount -%OLD \ifdim\dimen4<\MPcriteriumB\ifdim\dimen4>-\MPcriteriumB -%OLD \ifdim\dimen6<\MPcriteriumB\ifdim\dimen6>-\MPcriteriumB -%OLD \ifdim\dimen8<\MPcriteriumB\ifdim\dimen8>-\MPcriteriumB -%OLD \ifdim\dimen10<\MPcriteriumB\ifdim\dimen10>-\MPcriteriumB -%OLD \chardef\MPfactor\plusone -%OLD \fi\fi -%OLD \fi\fi -%OLD \fi\fi -%OLD \fi\fi -%OLD \ifcase\MPfactor % spurious 0 removed -%OLD \chardef\MPfactor\plusone -%OLD \ifdim\dimen12<\MPcriteriumA\ifdim\dimen12>-\MPcriteriumA -%OLD \ifdim\dimen14<\MPcriteriumA\ifdim\dimen14>-\MPcriteriumA -%OLD \chardef\MPfactor16 -%OLD \fi\fi -%OLD \fi\fi -%OLD \fi -%OLD % -%OLD \multiply\dimen12 \MPfactor -%OLD \multiply\dimen14 \MPfactor -%OLD % -%OLD \doMPreducedimen12 -%OLD \doMPreducedimen14 -%OLD % -%OLD \dimen16 \dimen 0 -%OLD \multiply \dimen16 \dimen 6 -%OLD \dimen20 \dimen 2 -%OLD \multiply \dimen20 \dimen 4 -%OLD \advance \dimen16 -\dimen20 -%OLD % -%OLD \dimen18 \dimen12 -%OLD \multiply \dimen18 \dimen 6 -%OLD \dimen20 \dimen14 -%OLD \multiply \dimen20 \dimen 4 -%OLD \advance \dimen18 -\dimen20 -%OLD \dimen20 \dimen 4 -%OLD \multiply \dimen20 \dimen10 -%OLD \advance \dimen18 \dimen20 -%OLD \dimen20 \dimen 6 -%OLD \multiply \dimen20 \dimen 8 -%OLD \advance \dimen18 -\dimen20 -%OLD % -%OLD \multiply \dimen12 -\dimen 2 -%OLD \multiply \dimen14 \dimen 0 -%OLD \advance \dimen12 \dimen14 -%OLD \dimen20 \dimen 2 -%OLD \multiply \dimen20 \dimen 8 -%OLD \advance \dimen12 \dimen20 -%OLD \dimen20 \dimen 0 -%OLD \multiply \dimen20 \dimen10 -%OLD \advance \dimen12 -\dimen20 -%OLD % -%OLD \ifdim\dimen16=\onepoint \else -%OLD \ifdim\dimen16>\MPconcatfactor \onepoint \relax -%OLD \doMPreducedimen16 -%OLD \divide \dimen18 \dimen16 \doMPexpanddimen18 -%OLD \divide \dimen12 \dimen16 \doMPexpanddimen12 -%OLD \else -%OLD \divide \dimen18 \dimen16 \doMPexpanddimen18 \doMPexpanddimen18 -%OLD \divide \dimen12 \dimen16 \doMPexpanddimen12 \doMPexpanddimen12 -%OLD \fi -%OLD \fi -%OLD % -%OLD \divide\dimen18 \MPfactor -%OLD \divide\dimen12 \MPfactor -%OLD % -%OLD \edef#2{\withoutpt\the\dimen18}% % p_x^\prime -%OLD \edef#4{\withoutpt\the\dimen12}} % p_y^\prime - -%D DHL: Ideally, $r_x$, $r_y$, $s_x4, $s_y$ should be in macros, not -%D dimensions (they are scalar quantities after all, not lengths). I -%D suppose the authors decided to do calculations with integer -%D arithmetic instead of using real factors because it's faster. -%D However, the actual macros test slower, possibly because I've -%D omitted three nested loops. In my test files, my approach is more -%D accurate. It is also far simpler and overflow does not seem to be a -%D significant concern. The scale factors written by Metapost are (?) -%D always $<=1$ (it scales coordinates internally) and coordinates are -%D always likely to be less than \type {\maxdimen}. -%D -%D If this should ever cause problems, the scale factors can be reduced. - -\def\doMPconcat#1#2#3#4% - {\dimen12=#1pt % p_x % #1\onepoint - \dimen14=#3pt % p_y % #3\onepoint - \advance\dimen12 -\dimen8 % p_x - t_x - \advance\dimen14 -\dimen10 % p_y - t_y - \dimen18=\withoutpt\the\dimen6 \dimen12 % s_y(p_x - t_x) - \advance\dimen18 -\withoutpt\the\dimen4 \dimen14 % - r_y(p_y-t_y) - \dimen14=\withoutpt\the\dimen0 \dimen14 % s_x(p_y-t_y) - \advance\dimen14 -\withoutpt\the\dimen2 \dimen12 % - r_x(p_x-t_x) - % \MPscratchDim contains precomputed 1/D: - \dimen18=\withoutpt\the\MPscratchDim \dimen18 - \dimen14=\withoutpt\the\MPscratchDim \dimen14 - \edef#2{\withoutpt\the\dimen18}% % p_x^\prime - \edef#4{\withoutpt\the\dimen14}} % p_y^\prime - -%D One reason for Daniel to write this patch was that at small sizes -%D the accuracy was less than optimal. Here is a test that demonstrates -%D that his alternative is pretty good: -%D -%D \startlinecorrection -%D \startMPcode -%D for i = 5cm,1cm,5mm,1mm,.5mm,.1mm,.01mm : -%D draw fullcircle scaled i withpen pencircle xscaled (i/10) yscaled (i/20) rotated 45 ; -%D endfor ; -%D \stopMPcode -%D \stoplinecorrection - -%D The following explanation of the conversion process was -%D posted to the \PDFTEX\ mailing list by Tanmoy. The original -%D macro was part of a set of macro's that included sinus and -%D cosinus calculations as well as scaling and translating. The -%D \METAPOST\ to \PDF\ conversion however only needs -%D transformation. - -%M \start \switchtobodyfont [ss] - -%D Given a point $(U_x, U_y)$ in user coordinates, the business -%D of \POSTSCRIPT\ is to convert it to device space. Let us say -%D that the device space coordinates are $(D_x, D_y)$. Then, in -%D \POSTSCRIPT\ $(D_x, D_y)$ can be written in terms of -%D $(U_x, U_y)$ in matrix notation, either as -%D -%D \placeformula -%D \startformula -%D \pmatrix{D_x&D_y&1\cr} = \pmatrix{U_x&U_y&1\cr} -%D \pmatrix{s_x&r_x&0\cr -%D r_y&s_y&0\cr -%D t_x&t_y&1\cr} -%D \stopformula -%D -%D or -%D -%D \placeformula -%D \startformula -%D \pmatrix{D_x\cr D_y\cr 1} = \pmatrix{s_x&r_y&t_x\cr -%D r_x&s_y&t_y\cr -%D 0 &0 &1 \cr} -%D \pmatrix{U_x\cr -%D U_y\cr -%D 1 \cr} -%D \stopformula -%D -%D both of which is a shorthand for the same set of equations: -%D -%D \placeformula -%D \startformula -%D D_x = s_x U_x + r_y U_y + t_x -%D \stopformula -%D -%D \placeformula -%D \startformula -%D D_y = r_x U_x + s_y U_y + t_y -%D \stopformula -%D -%D which define what is called an `affine transformation'. -%D -%D \POSTSCRIPT\ represents the `transformation matrix' as a -%D six element matrix instead of a $3\times 3$ array because -%D three of the elements are always~0, 0 and~1. Thus the above -%D transformation is written in postscript as $[s_x\, r_x\, -%D r_y\, s_y\, t_x\, t_y]$. However, when doing any -%D calculations, it is useful to go back to the original -%D matrix notation (whichever: I will use the second) and -%D continue from there. -%D -%D As an example, if the current transformation matrix is -%D $[s_x\, r_x\, r_y\, s_y\, t_x\, t_y]$ and you say \typ{[a b -%D c d e f] concat}, this means: -%D -%D \startnarrower -%D Take the user space coordinates and transform them to an -%D intermediate set of coordinates using array $[a\, b\, c\, d\, -%D e\, f]$ as the transformation matrix. -%D -%D Take the intermediate set of coordinates and change them to -%D device coordinates using array $[s_x\, r_x\, r_y\, s_y\, t_x\, t_y]$ -%D as the transformation matrix. -%D \stopnarrower -%D -%D Well, what is the net effect? In matrix notation, it is -%D -%D \placeformula -%D \startformula -%D \pmatrix{I_x\cr I_y\cr 1\cr} = \pmatrix{a&c&e\cr -%D b&d&f\cr -%D 0&0&1\cr} -%D \pmatrix{U_x\cr -%D U_y\cr -%D 1 \cr} -%D \stopformula -%D -%D \placeformula -%D \startformula -%D \pmatrix{D_y\cr D_y\cr 1\cr} = \pmatrix{s_x&r_y&t_x\cr -%D r_x&s_y&t_y\cr -%D 0 &0 &1 \cr} -%D \pmatrix{I_x\cr -%D I_y\cr -%D 1 \cr} -%D \stopformula -%D -%D where $(I_x, I_y)$ is the intermediate coordinate. -%D -%D Now, the beauty of the matrix notation is that when there is -%D a chain of such matrix equations, one can always compose -%D them into one matrix equation using the standard matrix -%D composition law. The composite matrix from two matrices can -%D be derived very easily: the element in the $i$\high{th} -%D horizontal row and $j$\high{th} vertical column is -%D calculated by`multiplying' the $i$\high{th} row of the first -%D matrix and the $j$\high{th} column of the second matrix (and -%D summing over the elements). Thus, in the above: -%D -%D \placeformula -%D \startformula -%D \pmatrix{D_x\cr D_y\cr 1} = \pmatrix{s_x^\prime&r_y^\prime&t_x^\prime\cr -%D r_x^\prime&s_y^\prime&t_y^\prime\cr -%D 0 &0 &0 \cr} -%D \pmatrix{U_x\cr -%D U_y\cr -%D 1 \cr} -%D \stopformula -%D -%D with -%D -%D \placeformula -%D \startformula -%D \eqalign -%D {s_x^\prime & = s_x a + r_y b \cr -%D r_x^\prime & = r_x a + s_y b \cr -%D r_y^\prime & = s_x c + r_y d \cr -%D s_y^\prime & = r_x c + s_y d \cr -%D t_x^\prime & = s_x e + r_y f + t_x \cr -%D t_y^\prime & = r_x e + s_y f + t_y \cr} -%D \stopformula - -%D In fact, the same rule is true not only when one is going -%D from user coordinates to device coordinates, but whenever -%D one is composing two `transformations' together -%D (transformations are `associative'). Note that the formula -%D is not symmetric: you have to keep track of which -%D transformation existed before (i.e.\ the equivalent of -%D $[s_x\, r_x\, r_y\, s_y\, t_x\, t_y]$) and which was -%D specified later (i.e.\ the equivalent of $[a\, b\, c\, d\, -%D e\, f]$). Note also that the language can be rather -%D confusing: the one specified later `acts earlier', -%D converting the user space coordinates to intermediate -%D coordinates, which are then acted upon by the pre||existing -%D transformation. The important point is that order of -%D transformation matrices cannot be flipped (transformations -%D are not `commutative'). -%D -%D Now what does it mean to move a transformation matrix -%D before a drawing? What it means is that given a point -%D $(P_x, P_y)$ we need a different set of coordinates -%D $(P_x^\prime, P_y^\prime)$ such that if the transformation -%D acts on $(P_x^\prime, P_y^\prime)$, they produce $(P_x, -%D P_y)$. That is we need to solve the set of equations: -%D -%D \placeformula -%D \startformula -%D \pmatrix{P_x\cr P_y\cr 1\cr} = \pmatrix{s_x&r_y&t_x\cr -%D r_x&s_y&t_y\cr -%D 0 &0 &1 \cr} -%D \pmatrix{P_x^\prime\cr -%D P_y^\prime\cr -%D 1 \cr} -%D \stopformula -%D -%D Again matrix notation comes in handy (i.e. someone has -%D already solved the problem for us): we need the inverse -%D transformation matrix. The inverse transformation matrix can -%D be calculated very easily: -%D -%D \placeformula -%D \startformula -%D \pmatrix{P_x^\prime\cr P_y^\prime\cr 1\cr} = -%D \pmatrix{s_x^\prime&r_y^\prime&t_x^\prime\cr -%D r_x^\prime&s_y^\prime&t_y^\prime\cr -%D 0 &0 &1 \cr} -%D \pmatrix{P_x\cr -%D P_y\cr -%D 1 \cr} -%D \stopformula -%D -%D where, the inverse transformation matrix is given by -%D -%D \placeformula -%D \startformula -%D \eqalign -%D {D & = s_x s_y - r_x r_y \cr -%D s_x^\prime & = s_y / D \cr -%D s_y^\prime & = s_x / D \cr -%D r_x^\prime & = - r_x / D \cr -%D r_y^\prime & = - r_y / D \cr -%D t_x^\prime & = ( - s_y t_x + r_y t_y ) / D \cr -%D t_y^\prime & = ( r_x t_x - s_x t_y ) / D \cr} -%D \stopformula -%D -%D And you can see that when expanded out, this does -%D give the formulas: -%D -%D \placeformula -%D \startformula -%D P_x^\prime = { { s_y(p_x-t_x) + r_y(t_y-p_y) } \over -%D { s_x s_y-r_x r_y } } -%D \stopformula -%D -%D \placeformula -%D \startformula -%D P_y^\prime = { { s_x(p_y-t_y) + r_x(t_x-p_x) } \over -%D { s_x*s_y-r_x*r_y } } -%D \stopformula -%D -%D The code works by representing a real number by converting -%D it to a dimension to be put into a \DIMENSION\ register: 2.3 would -%D be represented as 2.3pt for example. In this scheme, -%D multiplying two numbers involves multiplying the \DIMENSION\ -%D registers and dividing by 65536. Accuracy demands that the -%D division be done as late as possible, but overflow -%D considerations need early division. -%D -%D Division involves dividing the two \DIMENSION\ registers and -%D multiplying the result by 65536. Again, accuracy would -%D demand that the numerator be multiplied (and|/|or the -%D denominator divided) early: but that can lead to overflow -%D which needs to be avoided. -%D -%D If nothing is known about the numbers to start with (in -%D concat), I have chosen to divide the 65536 as a 256 in each -%D operand. However, in the series calculating the sine and -%D cosine, I know that the terms are small (because I never -%D have an angle greater than 45 degrees), so I chose to -%D apportion the factor in a different way. - -%M \stop - -%D The path is output using the values saved on the stack. If -%D needed, all coordinates are recalculated. - -\def\finishMPpath - {\PDFcode{\ifcase\finiMPpath W n\or S\or f\or B\fi}} - -\def\processMPpath - {\checkMPpath - \ifcase\nofMPsegments\else - \flushMPpath - \closeMPpath - \finishMPpath - \fi - \let\handleMPsequence\dohandleMPsequence - \resetMPstack - \nofMPsegments\zerocount - \handleMPsequence} - -%D The following \METAPOST\ code is quite valid but, when -%D processed and converted to \PDF, will make a file -%D unprintable on a Hewlett Packard printer (from Acrobat -%D $v<=5$). Who is to blame, the driver of the OS layer in -%D between, is hard to determine, so we add an additional -%D check. -%D -%D \starttyping -%D clip currentpicture to origin -- cycle ; -%D setbounds currentpicture to fullsquare scaled 5cm ; -%D \stoptyping - -\def\checkMPpath - {\ifcase\finiMPpath - \ifnum\nofMPsegments<3 % n is one ahead - \message{omitting zero clip path}% - \nofMPsegments\zerocount - \fi - \fi} - -%D In \PDF\ the \type{cm} operator must precede the path -%D specification. We therefore can output the \type{cm} at -%D the moment we encounter it. - -\def\handleMPpathconcat - {\presetMPconcat - \PDFcode{\gMPs1 \gMPs2 \gMPs3 \gMPs4 \gMPs5 \gMPs6 cm}% - \resetMPstack} - -\def\handleMPpathscale - {\presetMPscale - \PDFcode{\gMPs1 0 0 \gMPs2 0 0 cm}% - \resetMPstack} - -%D This macro interprets the path and saves it as compact as -%D possible. - -\def\dohandleMPpath#1% - {\ifcase\lccode`#1\relax - \@EA\dohandleMPpathA - \else - \@EA\dohandleMPpathB - \fi#1} - -%\def\dohandleMPpathA#1 % -% {\setMPargument{#1}% -% \handleMPsequence} - -\let\dohandleMPpathA\setMPsequence - -\def\dohandleMPpathB#1 % - {\def\somestring{#1}% - \ifx\somestring\PSlineto - \setMPkeyword0 - \else\ifx\somestring\PScurveto - \setMPkeyword1 - \else\ifx\somestring\PSrlineto - \setMPkeyword2 - \else\ifx\somestring\PSmoveto - \setMPkeyword3 - \else\ifx\somestring\PSclip - % \chardef\finiMPpath0 % already - \let\handleMPsequence\processMPpath - \else\ifx\somestring\PSgsave - \chardef\finiMPpath3 - \else\ifx\somestring\PSgrestore - \else\ifx\somestring\PSfill - \ifcase\finiMPpath - \chardef\finiMPpath2 - \let\handleMPsequence\processMPpath - \fi - \else\ifx\somestring\PSstroke - \ifcase\finiMPpath - \chardef\finiMPpath1 - \fi - \let\handleMPsequence\processMPpath - \else\ifx\somestring\PSclosepath - \def\closeMPpath{\PDFcode{h}}% - \else\ifx\somestring\PSconcat - \let\flushMPpath\flushconcatMPpath - \handleMPpathconcat - \else\ifx\somestring\PSscale - \let\flushMPpath\flushconcatMPpath - \handleMPpathscale - \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi - \handleMPsequence} - -%D The main conversion command is: -%D -%D \starttyping -%D \convertMPtoPDF {filename} {x scale} {y scale} -%D \stoptyping -%D -%D The dimensions are derived from the bounding box. So we -%D only have to say: -%D -%D \starttyping -%D \convertMPtoPDF{mp-pra-1.eps}{1}{1} -%D \convertMPtoPDF{mp-pra-1.eps}{.5}{.5} -%D \stoptyping - -%D \macros -%D {makeMPintoPDFobject,lastPDFMPobject} -%D -%D For experts there are a few more options. When attributes -%D are to be added, the code must be embedded in an object -%D accompanied with the appropriate directives. One can -%D influence this process with \type {\makeMPintoPDFobject}. -%D -%D This option defaults to~0, because \CONTEXT\ takes care -%D of objects at another level, which saves some bytes. -%D -%D \starttabulate[|l|l|p|] -%D \NC 0 \NC never \NC don't use an object \NC\NR -%D \NC 1 \NC always \NC always use an object \NC\NR -%D \NC 2 \NC optional \NC use object when needed \NC\NR -%D \stoptabulate -%D -%D The last object number used is avaliable in the macro -%D \type {\lastPDFMPobject}. - -\ifx\makeMPintoPDFobject\undefined \chardef\makeMPintoPDFobject=0 \fi - -\def\lastPDFMPobject{0} - -%D The additional code needed can be made available in the -%D (global) macro \type {\currentPDFresources}. - -\let\currentPDFresources\empty - -\newtoks\everyMPtoPDFconversion - -\def\convertMPtoPDF % #1#2#3% - {\bgroup - \ifx\pdfdecimaldigits\undefined\else \pdfdecimaldigits=5 \fi % new - \setbox\scratchbox\vbox\bgroup - \forgetall - \offinterlineskip - \startMPresources - \doprocessMPtoPDFfile} % - -%D The next one is kind of private and probably will become obsolete): - -\def\processMPtoPDFfile % file xscale yscale - {\bgroup - \let\finishMPgraphic\egroup - \doprocessMPtoPDFfile} - -\def\doprocessMPtoPDFfile#1#2#3% file xscale yscale - {% the following line is needed for latex where onepoint is not - % onepoint but a number (maxdimen); some day i'll make a latex - % variant of this file so that i no longer have to deal with such - % issues; then i'll also speed up this module using a few context - % tricks - % - \let\onepoint\onerealpoint - % - \setMPspecials - \the\everyMPtoPDFconversion - \catcode`\^^M=\@@endofline - \startMPscanning - \let\do\empty - \xdef\MPxscale{#2}% - \xdef\MPyscale{#3}% - \xdef\MPxoffset{0}% - \xdef\MPyoffset{0}% - \xdef\MPyshift{\zeropoint}% - \donefalse - \let\handleMPsequence\dohandleMPsequence - \message{[MP to PDF]}% was: [MP to PDF #1] but there is a (#1) anyway - \input#1\relax} - -% strange rounding/clip in pdftex/viewer -% -% \def\finishMPgraphic -% {\stopMPresources -% \egroup -% \ifx\pdftexversion\undefined\else\ifnum\pdftexversion<14 % for the moment -% \chardef\makeMPintoPDFobject=0 -% \fi\fi -% \ifcase\makeMPintoPDFobject\or\or\ifx\currentPDFresources\empty\else -% \chardef\makeMPintoPDFobject=1 -% \fi\fi -% \setbox\scratchbox=\vbox -% {\forgetall -% \hbox -% {\PDFcode{q \MPxscale\space 0 0 \MPyscale\space \MPxoffset\space \MPyoffset\space cm}% -% \lower\MPyshift\box\scratchbox % unscaled shift -% \PDFcode{Q}}}% -% \ht\scratchbox\MPheight -% \wd\scratchbox\MPwidth -% \dp\scratchbox\zeropoint -% \ifcase\makeMPintoPDFobject -% \box\scratchbox -% \or -% \immediate\pdfxform resources{\currentPDFresources}\scratchbox -% \xdef\lastPDFMPobject{\the\pdflastxform}% -% \pdfrefxform\lastPDFMPobject -% \global\let\currentPDFresources\empty -% \else -% \box\scratchbox -% \fi -% \egroup} -% -% funny clip in viewer -% -% \setbox\scratchbox=\vbox -% {\forgetall -% \dimen0=\MPllx bp -% \dimen2=\MPlly bp -% \setbox\scratchbox=\hbox{\hskip-\dimen0\raise-\dimen2\box\scratchbox}% -% \ht\scratchbox=\zeropoint -% \dp\scratchbox=\zeropoint -% \wd\scratchbox=\zeropoint -% \hbox -% {\PDFcode{q \MPxscale\space 0 0 \MPyscale\space 0 0 cm}% -% \lower\MPshift\box\scratchbox -% \PDFcode{Q}}}% - -% \let\PDFMPformoffset\zeropoint - -\def\PDFMPformoffset - {\ifx\objectoffset\undefined\zeropoint\else\objectoffset\fi} - -\def\finishMPgraphic - {\stopMPresources - \egroup - \setbox\scratchbox\vbox - {\forgetall - \hbox - {\PDFcode{q \MPxscale\space 0 0 \MPyscale\space \MPxoffset\space \MPyoffset\space cm}% - \lower\MPyshift\box\scratchbox % unscaled shift - \PDFcode{Q}}}% - \ht\scratchbox\MPheight - \wd\scratchbox\MPwidth - \dp\scratchbox\zeropoint\relax - \dopackageMPgraphic\scratchbox - \egroup - \endinput} - -%D Alternative for \PDFTEX. We cannot come up with something more contexy -%D because this module is also used in \LATEX. - -\def\dopackageMPgraphic#1% #1 = boxregister - {%\ifx\pdfxform\undefined - % \chardef\makeMPintoPDFobject\zerocount % no pdftex at all - %\else\ifx\pdftexversion\undefined - % \chardef\makeMPintoPDFobject\zerocount % no pdftex at all - %\else\ifnum\pdftexversion<14 - % \chardef\makeMPintoPDFobject\zerocount % no resource support - %\else - % % keep the default value - %\fi\fi\fi - \ifcase\makeMPintoPDFobject\or\or\ifx\currentPDFresources\empty\else - % an existing value of 2 signals object support (set elsewhere) - \chardef\makeMPintoPDFobject\plusone - \fi\fi - \ifcase\makeMPintoPDFobject - \box#1% - \or - \scratchdimen\PDFMPformoffset\relax - \ifdim\scratchdimen>\zeropoint % compensate for error - \setbox#1\vbox spread 2\scratchdimen - {\forgetall\vss\hbox spread 2\scratchdimen{\hss\box#1\hss}\vss}% - \fi - \setMPPDFobject{\currentPDFresources}{#1}% - \ifdim\scratchdimen>\zeropoint % compensate for error - \vbox to \MPheight - {\forgetall\vss\hbox to \MPwidth{\hss\getMPPDFobject\hss}\vss}% - \else - \getMPPDFobject - \fi - \global\let\currentPDFresources\empty - \else - \box#1% - \fi} - -\def\setMPPDFobject#1#2% resources boxnumber - {\ifx\pdfxform\undefined - \def\getMPPDFobject{\box#2}% - \else\ifx\pdftexversion\undefined - \def\getMPPDFobject{\box#2}% - \else\ifnum\pdftexversion<14 - \def\getMPPDFobject{\box#2}% - \else - \immediate\pdfxform resources{#1}#2% - \edef\getMPPDFobject{\noexpand\pdfrefxform\the\pdflastxform}% - \fi\fi\fi} - -\let\getMPPDFobject\relax - -%D \macros -%D {deleteMPgraphic, -%D startMPresources, -%D stopMPresources} -%D -%D Here are a few hooks for \CONTEXT\ specific things. - -\ifx\deleteMPgraphic\undefined - \def\deleteMPgraphic#1{} -\fi - -\ifx\startMPresources\undefined - \let\startMPresources\relax - \let\stopMPresources\relax -\fi - -%D \macros -%D {twodigitMPoutput} -%D -%D We can limit the precision to two digits after the comma -%D by saying: -%D -%D \starttyping -%D \twodigitMPoutput -%D \stoptyping -%D -%D This option only works in \CONTEXT\ combined with \ETEX. - -\def\twodigitMPoutput - {\let\!MP \twodigitrounding - \def\!MPgMPs##1{\twodigitrounding{\gMPs##1}}% - \def\!MPgMPa##1{\twodigitrounding{\gMPa##1}}} - -\let\!MP \empty -\let\!MPgMPa\gMPa -\let\!MPgMPs\gMPs - -%D This kind of conversion is possible because \METAPOST\ -%D does all the calculations. Converting other \POSTSCRIPT\ -%D files would drive both me and \TEX\ crazy. - -\ifx\undefined\StopLatexHack \else \StopLatexHack \fi - -\protect \endinput |