%% This is part of the OpTeX project, see http://petr.olsak.net/optex \_codedecl \normalmath {Math fonts CM + AMS preloaded <2022-12-01>} % preloaded in format \_doc ------------------------------ We have two math macros \`\normalmath` for the normal shape of all math symbols and \`\boldmath` for the bold shape of all math symbols. The second one can be used in bold titles, for example. These macros load all fonts from all given math font families. \_cod ------------------------------ \_def\_normalmath{% \_loadmathfamily 0 cmr % CM Roman \_loadmathfamily 1 cmmi % CM Math Italic \_loadmathfamily 2 cmsy % CM Standard symbols \_loadmathfamily 3 cmex % CM extra symbols \_loadmathfamily 4 msam % AMS symbols A \_loadmathfamily 5 msbm % AMS symbols B \_loadmathfamily 6 rsfs % script \_loadmathfamily 7 eufm % fractur \_loadmathfamily 8 bfsans % sans serif bold \_loadmathfamily 9 bisans % sans serif bold slanted (for vectors) % \_setmathfamily 10 \_tentt % \_setmathfamily 11 \_tenit \_setmathdimens } \_def\_boldmath{% \_loadmathfamily 0 cmbx % CM Roman Bold Extended \_loadmathfamily 1 cmmib % CM Math Italic Bold \_loadmathfamily 2 cmbsy % CM Standard symbols Bold \_loadmathfamily 3 cmexb % CM extra symbols Bold \_loadmathfamily 4 msam % AMS symbols A (bold not available?) \_loadmathfamily 5 msbm % AMS symbols B (bold not available?) \_loadmathfamily 6 rsfs % script (bold not available?) \_loadmathfamily 7 eufb % fractur bold \_loadmathfamily 8 bbfsans % sans serif extra bold \_loadmathfamily 9 bbisans % sans serif extra bold slanted (for vectors) % \_setmathfamily 10 \_tentt % \_setmathfamily 11 \_tenbi \_setmathdimens } \_def \normalmath {\_normalmath} \_def\boldmath {\_boldmath} \_doc ----------------------------- The classical math family selectors \`\mit`, \^`\cal`, \^`\bbchar`, \^`\frak` and \^`\script` are defined here. The \^`\rm`, \^`\bf`, \^`\it`, \^`\bi` and \^`\tt` does two things: they are variant selectors for text fonts and math family selectors for math fonts. The idea was adapted from plain \TeX/.\nl These macros are redefined when `unimat-codes.opm` is loaded, see the section~\ref[unimath-codes]. \_cod ----------------------------- \_chardef\_bffam = 8 \_chardef\_bifam = 9 %\_chardef\_ttfam = 10 %\_chardef\_itfam = 11 \_protected\_def \_marm {\_fam0 } \_protected\_def \_mabf {\_fam\_bffam} \_protected\_def \_mait {\_fam1 } \_protected\_def \_mabi {\_fam\_bifam} \_protected\_def \_matt {} \_protected\_def \_mit {\_fam1 } \_protected\_def \_cal {\_fam2 } \_protected\_def \_bbchar {\_fam5 } % double stroked letters \_protected\_def \_frak {\_fam7 } % fraktur \_protected\_def \_script {\_fam6 } % more extensive script than \cal \_public \mit \cal \bbchar \frak \script ; \_doc ----------------------------- The optical sizes of Computer Modern fonts, AMS, and other fonts are declared here. \_cod ----------------------------- %% CM math fonts, optical sizes: \_regtfm cmmi 0 cmmi5 5.5 cmmi6 6.5 cmmi7 7.5 cmmi8 8.5 cmmi9 9.5 cmmi10 11.1 cmmi12 * \_regtfm cmmib 0 cmmib5 5.5 cmmib6 6.5 cmmib7 7.5 cmmib8 8.5 cmmib9 9.5 cmmib10 * \_regtfm cmtex 0 cstex8 8.5 cstex9 9.5 cstex10 * \_regtfm cmsy 0 cmsy5 5.5 cmsy6 6.5 cmsy7 7.5 cmsy8 8.5 cmsy9 9.5 cmsy10 * \_regtfm cmbsy 0 cmbsy5 5.5 cmbsy6 6.5 cmbsy7 7.5 cmbsy8 8.5 cmbsy9 9.5 cmbsy10 * \_regtfm cmex 0 cmex7 7.5 cmex8 8.5 cmex9 9.5 cmex10 * \_regtfm cmexb 0 cmexb10 * \_regtfm cmr 0 cmr5 5.5 cmr6 6.5 cmr7 7.5 cmr8 8.5 cmr9 9.5 cmr10 11.1 cmr12 15 cmr17 * \_regtfm cmbx 0 cmbx5 5.5 cmbx6 6.5 cmbx7 7.5 cmbx8 8.5 cmbx9 9.5 cmbx10 11.1 cmbx12 * \_regtfm cmti 0 cmti7 7.5 cmti8 8.5 cmti9 9.5 cmti10 11.1 cmti12 * \_regtfm cmtt 0 cmtt8 8.5 cmtt9 9.5 cmtt10 11.1 cmtt12 * %% AMS math fonts, optical sizes: \_regtfm msam 0 msam5 5.5 msam6 6.5 msam7 7.5 msam8 8.5 msam9 9.5 msam10 * \_regtfm msbm 0 msbm5 5.5 msbm6 6.5 msbm7 7.5 msbm8 8.5 msbm9 9.5 msbm10 * %% fraktur, rsfs, optical sizes: \_regtfm eufm 0 eufm5 6 eufm7 8.5 eufm10 * \_regtfm eufb 0 eufb5 6 eufb7 8.5 eufb10 * \_regtfm rsfs 0 rsfs5 6 rsfs7 8.5 rsfs10 * %% bf and bi sansserif math alternatives: \_regtfm bfsans 0 ecsx0500 5.5 ecsx0600 6.5 ecsx0700 7.5 ecsx0800 8.5 ecsx0900 9.5 ecsx1000 11.1 ecsx1200 * \_regtfm bisans 0 ecso0500 5.5 ecso0600 6.5 ecso0700 7.5 ecso0800 8.5 ecso0900 9.5 ecso1000 11.1 ecso1200 * \_regtfm bbfsans 0 ecsx0500 5.5 ecsx0600 6.5 ecsx0700 7.5 ecsx0800 8.5 ecsx0900 9.5 ecsx1000 11.1 ecsx1200 * \_regtfm bbisans 0 ecso0500 5.5 ecso0600 6.5 ecso0700 7.5 ecso0800 8.5 ecso0900 9.5 ecso1000 11.1 ecso1200 * \_doc ----------------------------- \`\_loadmathfamily` ` ` loads one math family, i.\,e.\ the triple of fonts in the text size, script size and script-script size. The `` is `` used in the `\_regtfm` parameter or the real TFM name. The family is saved as `\fam`. \nl \`\_setmathfamily` ` \` loads one math family like `\_loadmathfamily` does it. But the second parameter is a `\` declared previously by the `\font` primitive. \nl The `` is saved by \^`\_loadmathfamily`, \^`\_setmathfamily` to the \`\_mfam`. \nl The font family is loaded at \`\_sizemtext`, \`\_sizemscript` and \`\_sizemsscript` sizes. These sizes are set by the \`\setmathsizes` `[//]` macro. These parameters are given in the \`\ptmunit` unit, it is set to 1\`\ptunit` and it is set to 1\,pt by default. \nl \`\_mfactor` sets scaling factor for given math fonts family related to text font size. It does the setting `\_ptmunit=\_ptunit` where the is defined by `\sdef{_mfactor:}{}`. For example, you can set `\sdef{_mfactor:1}{0.95}` if you found that this scaling of math family 1 gives better visual compatibility with used text fonts. If not declared then scaling factor is~1. \_cod ----------------------------- \_def\_loadmathfamily {\_afterassignment\_loadmathfamilyA \_chardef\_mfam} \_def\_loadmathfamilyA #1 {\_mfactor \_edef\_optsizesave{\_the\_optsize}% \_optsize=\_sizemtext \_font\_mF \_optfn{#1} at\_optsize \_textfont\_mfam=\_mF \_optsize=\_sizemscript \_font\_mF \_optfn{#1} at\_optsize \_scriptfont\_mfam=\_mF \_optsize=\_sizemsscript \_font\_mF \_optfn{#1} at\_optsize \_scriptscriptfont\_mfam=\_mF \_optsize=\_optsizesave } \_def\_setmathfamily {\_afterassignment\_setmathfamilyA \_chardef\_mfam} \_def\_setmathfamilyA #1{\_mfactor \_let\_mF=#1% \_edef\_optsizesave{\_the\_optsize}% \_optsize=\_sizemtext \_fontlet#1#1at\_optsize \_textfont\_mfam=#1% \_optsize=\_sizemscript \_fontlet#1#1at\_optsize \_scriptfont\_mfam=#1% \_optsize=\_sizemsscript \_fontlet#1#1at\_optsize \_scriptscriptfont\_mfam=#1% \_optsize=\_optsizesave \_let#1=\_mF } \_def\_setmathsizes[#1/#2/#3]{\_ptmunit=\_ptunit \_def\_sizemtext{#1\_ptmunit}\_def\_sizemscript{#2\_ptmunit}% \_def\_sizemsscript{#3\_ptmunit}% } \_def\_mfactor{\_ptmunit=\_trycs{_mfactor:\_the\_mfam}{}\_ptunit} \_newdimen\_ptunit \_ptunit=1pt \_newdimen\_ptmunit \_ptmunit=1\_ptunit \_public \setmathsizes \ptunit ; \_doc ----------------------------- \`\_setmathparam`` {}` sets (like `\Umathspaceafterscript`) to values dependent on `1em` of textfont, scriptfont, scriptscriptfont. The is scaling factor of mentioned `1em`. \_cod ----------------------------- \_def\_setmathparam#1#2{% #1\_displaystyle =#2\_fontdimen6\_textfont1 #1\_crampeddisplaystyle =#2\_fontdimen6\_textfont1 #1\_textstyle =#2\_fontdimen6\_textfont1 #1\_crampedtextstyle =#2\_fontdimen6\_textfont1 #1\_scriptstyle =#2\_fontdimen6\_scriptfont1 #1\_crampedscriptstyle =#2\_fontdimen6\_scriptfont1 #1\_scriptscriptstyle =#2\_fontdimen6\_scriptscriptfont1 #1\_crampedscriptscriptstyle =#2\_fontdimen6\_scriptscriptfont1 } \_doc ----------------------------- The \`\_setmathdimens` macro is used in \^`\normalmath` or \^`\boldmath` macros. It makes math dimensions dependent on the font size (plain \TeX/ sets them only for 10\,pt typesetting). The `\skewchar` of some math families are set here too.\nl \^`\_setmathparam \Umathspaceafterscript` is used instead `\scriptspace` setting because \LuaTeX/ ingnores `\scriptspace` in most cases. There is small difference from classical \TeX/: we set \"scaled" `\Umathspaceafterscript` dependent on textstyle, scriptstyle, etc.\ sizes. The \`\_scriptspacefactor` is set to 0.05 which gives the same result as Plain \TeX/ `\scriptspace=0.5pt` at 10\,pt font size. \_cod ----------------------------- \_def\_setmathdimens{% PlainTeX sets these dimens for 10pt size only: \_delimitershortfall=0.5\_fontdimen6\_textfont3 \_nulldelimiterspace=0.12\_fontdimen6\_textfont3 \_setmathparam\_Umathspaceafterscript \_scriptspacefactor \_skewchar\_textfont1=127 \_skewchar\_scriptfont1=127 \_skewchar\_scriptscriptfont1=127 \_skewchar\_textfont2=48 \_skewchar\_scriptfont2=48 \_skewchar\_scriptscriptfont2=48 \_skewchar\_textfont6=127 \_skewchar\_scriptfont6=127 \_skewchar\_scriptscriptfont6=127 } \_def\_scriptspacefactor{.05} \_doc ----------------------------- Finally, we preload a math fonts collection in [10/7/5] sizes when the format is generated. This is done when `\_suppressfontnotfounderror=1` because we need not errors when the format is generated. Maybe there are not all fonts in the \TeX/ distribution installed. \_cod ----------------------------- \_suppressfontnotfounderror=1 \_setmathsizes[10/7/5] \_ifx\fontspreload\_relax \_else \_normalmath \_fi \_suppressfontnotfounderror=0 \_endcode %--------------------------------------------------- The Computer Modern and AMS fonts are preloaded here in classical math-fam concept, where each math family includes three fonts with max 256 characters (typically 128 characters). On the other hand, when \^`\fontfam` macro is used in the document then text font family and appropriate math family is loaded with Unicode fonts, i.e. Unicode-math is used. It re-defines all settings given here. The general rule of usage the math fonts in different sizes in \OpTeX/ says: set three sizes by the macro \^`\setmathsizes` `[//]` and then load all math fonts in given sizes by \^`\normalmath` or \^`\boldmath` macros. For example \begtt \setmathsizes[12/8.4/6]\normalmath ... math typesetting at 12 pt is ready. \endtt \_endinput 2022-12-01 reading number by \_loadmathfamily, \_setmathfamily more robust 2022-11-16: \_corrmsize removed, \_mfactor introduced 2022-09-04: \crampedstyles setings added. 2022-07-22: \_setmathparam\_Umathspaceafterscript added. 2022-02-22: \rm, \it, etc moved to fonts-select, \_marm, \_mait etc. introduced 2020-05-06: \itfam, \ttfam removed, (Unicode math preferred) 2020-04-14: \skewchar\fam6 added