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Diffstat (limited to 'Master/texmf-dist/doc/luatex/base/luatex-math.tex')
| -rw-r--r-- | Master/texmf-dist/doc/luatex/base/luatex-math.tex | 237 |
1 files changed, 180 insertions, 57 deletions
diff --git a/Master/texmf-dist/doc/luatex/base/luatex-math.tex b/Master/texmf-dist/doc/luatex/base/luatex-math.tex index 3c29d960975..f29a3aed0a6 100644 --- a/Master/texmf-dist/doc/luatex/base/luatex-math.tex +++ b/Master/texmf-dist/doc/luatex/base/luatex-math.tex @@ -168,20 +168,20 @@ The input for such primitives would look like this: The altered \TEX82 primitives are: \starttabulate[|l|l|r|c|l|r|] -\NC \bf primitive \NC \bf min \NC \bf max \NC \kern 2em \NC \bf min \NC \bf max \NC \NR -\NC \type {\mathcode} \NC 0 \NC 10FFFF \NC = \NC 0 \NC 8000 \NC \NR -\NC \type {\delcode} \NC 0 \NC 10FFFF \NC = \NC 0 \NC FFFFFF \NC \NR +\BC primitive \BC min \BC max \BC \kern 2em \BC min \BC max \NC \NR +\NC \type {\mathcode} \NC 0 \NC 10FFFF \NC = \NC 0 \NC 8000 \NC \NR +\NC \type {\delcode} \NC 0 \NC 10FFFF \NC = \NC 0 \NC FFFFFF \NC \NR \stoptabulate The unaltered ones are: \starttabulate[|l|l|r|] -\NC \bf primitive \NC \bf min \NC \bf max \NC \NR -\NC \type {\mathchardef} \NC 0 \NC 8000 \NC \NR -\NC \type {\mathchar} \NC 0 \NC 7FFF \NC \NR -\NC \type {\mathaccent} \NC 0 \NC 7FFF \NC \NR -\NC \type {\delimiter} \NC 0 \NC 7FFFFFF \NC \NR -\NC \type {\radical} \NC 0 \NC 7FFFFFF \NC \NR +\BC primitive \BC min \BC max \NC \NR +\NC \type {\mathchardef} \NC 0 \NC 8000 \NC \NR +\NC \type {\mathchar} \NC 0 \NC 7FFF \NC \NR +\NC \type {\mathaccent} \NC 0 \NC 7FFF \NC \NR +\NC \type {\delimiter} \NC 0 \NC 7FFFFFF \NC \NR +\NC \type {\radical} \NC 0 \NC 7FFFFFF \NC \NR \stoptabulate For practical reasons \type {\mathchardef} will silently accept values larger @@ -193,18 +193,18 @@ The following new primitives are compatible with \XETEX: % somewhat fuzzy: \starttabulate[|l|l|r|c|l|r|] -\NC \bf primitive \NC \bf min \NC \bf max \NC \kern 2em \NC \bf min \NC \bf max \NC \NR -\NC \type {\Umathchardef} \NC 0+0+0 \NC 7+FF+10FFFF\rlap{\high{1}} \NC \NC \NC \NC \NR -\NC \type {\Umathcharnumdef}\rlap{\high{5}} \NC -80000000 \NC 7FFFFFFF\rlap{\high{3}} \NC \NC \NC \NC \NR -\NC \type {\Umathcode} \NC 0 \NC 10FFFF \NC = \NC 0+0+0 \NC 7+FF+10FFFF\rlap{\high{1}} \NC \NR -\NC \type {\Udelcode} \NC 0 \NC 10FFFF \NC = \NC 0+0 \NC FF+10FFFF\rlap{\high{2}} \NC \NR -\NC \type {\Umathchar} \NC 0+0+0 \NC 7+FF+10FFFF \NC \NC \NC \NC \NR -\NC \type {\Umathaccent} \NC 0+0+0 \NC 7+FF+10FFFF\rlap{\high{2,4}} \NC \NC \NC \NC \NR -\NC \type {\Udelimiter} \NC 0+0+0 \NC 7+FF+10FFFF\rlap{\high{2}} \NC \NC \NC \NC \NR -\NC \type {\Uradical} \NC 0+0 \NC FF+10FFFF\rlap{\high{2}} \NC \NC \NC \NC \NR -\NC \type {\Umathcharnum} \NC -80000000 \NC 7FFFFFFF\rlap{\high{3}} \NC \NC \NC \NC \NR -\NC \type {\Umathcodenum} \NC 0 \NC 10FFFF \NC = \NC -80000000 \NC 7FFFFFFF\rlap{\high{3}} \NC \NR -\NC \type {\Udelcodenum} \NC 0 \NC 10FFFF \NC = \NC -80000000 \NC 7FFFFFFF\rlap{\high{3}} \NC \NR +\BC primitive \BC min \BC max \BC \kern 2em \BC min \BC max \NC \NR +\NC \type {\Umathchardef} \NC 0+0+0 \NC 7+FF+10FFFF\rlap{\high{1}} \NC \NC \NC \NC \NR +\NC \type {\Umathcharnumdef}\rlap{\high{5}} \NC -80000000 \NC 7FFFFFFF\rlap{\high{3}} \NC \NC \NC \NC \NR +\NC \type {\Umathcode} \NC 0 \NC 10FFFF \NC = \NC 0+0+0 \NC 7+FF+10FFFF\rlap{\high{1}} \NC \NR +\NC \type {\Udelcode} \NC 0 \NC 10FFFF \NC = \NC 0+0 \NC FF+10FFFF\rlap{\high{2}} \NC \NR +\NC \type {\Umathchar} \NC 0+0+0 \NC 7+FF+10FFFF \NC \NC \NC \NC \NR +\NC \type {\Umathaccent} \NC 0+0+0 \NC 7+FF+10FFFF\rlap{\high{2,4}} \NC \NC \NC \NC \NR +\NC \type {\Udelimiter} \NC 0+0+0 \NC 7+FF+10FFFF\rlap{\high{2}} \NC \NC \NC \NC \NR +\NC \type {\Uradical} \NC 0+0 \NC FF+10FFFF\rlap{\high{2}} \NC \NC \NC \NC \NR +\NC \type {\Umathcharnum} \NC -80000000 \NC 7FFFFFFF\rlap{\high{3}} \NC \NC \NC \NC \NR +\NC \type {\Umathcodenum} \NC 0 \NC 10FFFF \NC = \NC -80000000 \NC 7FFFFFFF\rlap{\high{3}} \NC \NR +\NC \type {\Udelcodenum} \NC 0 \NC 10FFFF \NC = \NC -80000000 \NC 7FFFFFFF\rlap{\high{3}} \NC \NR \stoptabulate Specifications typically look like: @@ -238,13 +238,13 @@ details. New primitives that exist in \LUATEX\ only (all of these will be explained in following sections): -\starttabulate[|l|l|l|l|] -\NC \bf primitive \NC \bf value range (in hex) \NC \NR -\NC \type {\Uroot} \NC 0+0--FF+10FFFF$^2$ \NC \NR -\NC \type {\Uoverdelimiter} \NC 0+0--FF+10FFFF$^2$ \NC \NR -\NC \type {\Uunderdelimiter} \NC 0+0--FF+10FFFF$^2$ \NC \NR -\NC \type {\Udelimiterover} \NC 0+0--FF+10FFFF$^2$ \NC \NR -\NC \type {\Udelimiterunder} \NC 0+0--FF+10FFFF$^2$ \NC \NR +\starttabulate[|l|l|] +\BC primitive \BC value range (in hex) \NC \NR +\NC \type {\Uroot} \NC 0+0--FF+10FFFF$^2$ \NC \NR +\NC \type {\Uoverdelimiter} \NC 0+0--FF+10FFFF$^2$ \NC \NR +\NC \type {\Uunderdelimiter} \NC 0+0--FF+10FFFF$^2$ \NC \NR +\NC \type {\Udelimiterover} \NC 0+0--FF+10FFFF$^2$ \NC \NR +\NC \type {\Udelimiterunder} \NC 0+0--FF+10FFFF$^2$ \NC \NR \stoptabulate \section{Cramped math styles} @@ -336,7 +336,7 @@ now accessible via primitive commands. In fact, refactoring of the math engine has resulted in many more parameters than were accessible before. \starttabulate -\NC \bf primitive name \NC \bf description \NC \NR +\BC primitive name \BC description \NC \NR \NC \type {\Umathquad} \NC the width of 18 mu's \NC \NR \NC \type {\Umathaxis} \NC height of the vertical center axis of the math formula above the baseline \NC \NR @@ -412,8 +412,8 @@ to fully control spacing. Therefore \LUATEX\ comes with a new directive: \type {\mathdisplayskipmode}. The following values apply: \starttabulate -\NC 0 \NC normal \TEX\ behaviour: always above, only below when larger than zero \NC \NR -\NC 1 \NC always \NC \NR +\NC 0 \NC normal \TEX\ behaviour \NC \NR +\NC 1 \NC always (same as 0) \NC \NR \NC 2 \NC only when not zero \NC \NR \NC 3 \NC never, not even when not zero \NC \NR \stoptabulate @@ -447,7 +447,7 @@ dimension parameter. For math fonts, this should be set to zero. \switchtobodyfont[8pt] \starttabulate[|l|l|l|p|] -\NC \bf variable \NC \bf style \NC \bf default value opentype \NC \bf default value tfm \NC \NR +\BC variable \BC style \BC default value opentype \BC default value tfm \NC \NR \NC \type {\Umathaxis} \NC -- \NC AxisHeight \NC axis_height \NC \NR \NC \type {\Umathoperatorsize} \NC D, D' \NC DisplayOperatorMinHeight \NC $^6$ \NC \NR \NC \type {\Umathfractiondelsize} \NC D, D' \NC FractionDelimiterDisplayStyleSize$^9$ \NC delim1 \NC \NR @@ -579,7 +579,7 @@ kerns assume correction too. Anyway, with this parameter one can control it. \NC \mathnolimitsmode8000 $\displaystyle\int\nolimits^0_1$ \NC \NR \TB - \NC \bf mode + \BC mode \NC \tttf 0 \NC \tttf 1 \NC \tttf 2 @@ -587,7 +587,7 @@ kerns assume correction too. Anyway, with this parameter one can control it. \NC \tttf 4 \NC \tttf 8000 \NC \NR - \NC \bf superscript + \BC superscript \NC 0 \NC font \NC 0 @@ -595,7 +595,7 @@ kerns assume correction too. Anyway, with this parameter one can control it. \NC +ic/2 \NC 0 \NC \NR - \NC \bf subscript + \BC subscript \NC -ic \NC font \NC 0 @@ -617,26 +617,110 @@ experimenting. The \type {\mathitalicsmode} parameter can be set to~1 to force italic correction before noads that represent some more complex structure (read: everything -that is not an ord, bin, rel, open, close, punct or inner). +that is not an ord, bin, rel, open, close, punct or inner). We show a Cambria +example. \starttexdefinition Whatever #1 - \NC \type{\mathitalicsmode=#1} + \NC \type{\mathitalicsmode = #1} \NC \mathitalicsmode#1\ruledhbox{$\left|T^1\right|$} \NC \mathitalicsmode#1\ruledhbox{$\left|T\right|$} \NC \mathitalicsmode#1\ruledhbox{$T+1$} \NC \mathitalicsmode#1\ruledhbox{$T{1\over2}$} \NC \mathitalicsmode#1\ruledhbox{$T\sqrt{1}$} - \NR \NR + \NC \NR \stoptexdefinition -\starttabulate[|c|c|c|c|c|c|] - \Whatever0 - \Whatever1 -\stoptabulate +\start + \switchtobodyfont[cambria] + \starttabulate[|c|c|c|c|c|c|] + \Whatever{0}% + \Whatever{1}% + \stoptabulate +\stop This kind of parameters relate to the fact that italic correction in \OPENTYPE\ math is bound to fuzzy rules. So, control is the solution. +\section{Script boxes} + +If you want typeset text in math macro packages often provide something \type +{\text} which obeys the script sizes. As the definition can be anything there is +a good change that the kerning doesn't come out well when used in a script. Given +that the first glyph ends up in an \type {\hbox} we have some control over this. +And, as a bonus we also added control over the normal sublist kerning. The \type +{\mathscriptboxmode} parameter defaults to~1. + +\starttabulate[|l|l|] +\NC \type {0} \NC forget about kerning \NC \NR +\NC \type {1} \NC kern math sub lists with a valid glyph \NC \NR +\NC \type {2} \NC also kern math sub boxes that have a valid glyph \NC \NR +\NC \type {2} \NC only kern math sub boxes with a boundary node present\NC \NR +\stoptabulate + +Here we show some examples. Of course this doesn't solve all our problems, if +only because some fonts have characters with bounding boxes that compensate for +italics, while other fonts can lack kerns. + +\startbuffer[1] + $T_{\tf fluff}$ +\stopbuffer + +\startbuffer[2] + $T_{\text{fluff}}$ +\stopbuffer + +\startbuffer[3] + $T_{\text{\boundary1 fluff}}$ +\stopbuffer + +\unexpanded\def\Show#1#2#3% + {\doifelsenothing{#3} + {\small\typeinlinebuffer[#1]} + {\doifelse{#3}{-} + {\small\type{mode #2}} + {\switchtobodyfont[#3]\showfontkerns\showglyphs\mathscriptboxmode#2\relax\inlinebuffer[#1]}}} + +\starttabulate[|lT|c|c|c|c|c|] + \NC \NC \Show{1}{0}{} \NC\Show{1}{1}{} \NC \Show{2}{1}{} \NC \Show{2}{2}{} \NC \Show{3}{3}{} \NC \NR + \NC \NC \Show{1}{0}{-} \NC\Show{1}{1}{-} \NC \Show{2}{1}{-} \NC \Show{2}{2}{-} \NC \Show{3}{3}{-} \NC \NR + \NC modern \NC \Show{1}{0}{modern} \NC\Show{1}{1}{modern} \NC \Show{2}{1}{modern} \NC \Show{2}{2}{modern} \NC \Show{3}{3}{modern} \NC \NR + \NC lucidaot \NC \Show{1}{0}{lucidaot} \NC\Show{1}{1}{lucidaot} \NC \Show{2}{1}{lucidaot} \NC \Show{2}{2}{lucidaot} \NC \Show{3}{3}{lucidaot} \NC \NR + \NC pagella \NC \Show{1}{0}{pagella} \NC\Show{1}{1}{pagella} \NC \Show{2}{1}{pagella} \NC \Show{2}{2}{pagella} \NC \Show{3}{3}{pagella} \NC \NR + \NC cambria \NC \Show{1}{0}{cambria} \NC\Show{1}{1}{cambria} \NC \Show{2}{1}{cambria} \NC \Show{2}{2}{cambria} \NC \Show{3}{3}{cambria} \NC \NR + \NC dejavu \NC \Show{1}{0}{dejavu} \NC\Show{1}{1}{dejavu} \NC \Show{2}{1}{dejavu} \NC \Show{2}{2}{dejavu} \NC \Show{3}{3}{dejavu} \NC \NR +\stoptabulate + +\section{Unscaled fences} + +The \type {\mathdelimitersmode} primitive is experimental and deals with the +following (potential) problems. Three bits can be set. The first bit prevents +an unwanted shift when the fence symbol is not scaled (a cambria side effect). The +second bit forces italic correction between a preceding character ordinal and +the fenced subformula, while the third bit turns that subformula into a ordinary +so that the same spacing applies as with unfenced variants. Here we show Cambria +(with \type {\mathitalicsmode} enabled). + +\starttexdefinition Whatever #1 + \NC \type{\mathdelimitersmode = #1} + \NC \mathitalicsmode1\mathdelimitersmode#1\ruledhbox{\showglyphs\showfontkerns\showfontitalics$f(x)$} + \NC \mathitalicsmode1\mathdelimitersmode#1\ruledhbox{\showglyphs\showfontkerns\showfontitalics$f\left(x\right)$} + \NC \NR +\stoptexdefinition + +\start + \switchtobodyfont[cambria] + \starttabulate[|l|l|l|] + \Whatever{0}\Whatever{1}\Whatever{2}\Whatever{3}% + \Whatever{4}\Whatever{5}\Whatever{6}\Whatever{7}% + \stoptabulate +\stop + +So, when set to 7 fenced subformulas with unscaled delimiters come out the same +as unfenced ones. This can be handy for cases where one is forced to use \type +{\left} and \type {\right} always because of unpredictable content. As said, it's +an experimental features (which somehow fits in the exceptional way fences are +dealt with in the engine). + \section{Math spacing setting} Besides the parameters mentioned in the previous sections, there are also 64 new @@ -1033,8 +1117,8 @@ get the length of the last line, the following will often work too: \LUATEX\ defines six new primitives that have the same function as \type {^}, \type {_}, \type {$}, and \type {$$}: -\starttabulate[|l|l|l|l|] -\NC \bf primitive \NC \bf explanation \NC \NR +\starttabulate[|l|l|] +\BC primitive \BC explanation \NC \NR \NC \type {\Usuperscript} \NC Duplicates the functionality of \type {^} \NC \NR \NC \type {\Usubscript} \NC Duplicates the functionality of \type {_} \NC \NR \NC \type {\Ustartmath} \NC Duplicates the functionality of \type {$}, % $ @@ -1051,6 +1135,25 @@ The \type {\Ustopmath} and \type {\Ustopdisplaymath} primitives check if the cur math mode is the correct one (inline vs.\ displayed), but you can freely intermix the four mathon|/|mathoff commands with explicit dollar sign(s). +\subsection{Script commands \type {\Unosuperscript} and \type {\Unosubscript}} + +These two commands result in super- and subscripts but with the current style (at the +time of rendering). So, + +\startbuffer[script] +$ + x\Usuperscript {1}\Usubscript {2} = + x\Unosuperscript{1}\Unosubscript{2} = + x\Usuperscript {1}\Unosubscript{2} = + x\Unosuperscript{1}\Usubscript {2} +$ +\stopbuffer + +\typebuffer + +results in \inlinebuffer[script]. + + \subsection{Allowed math commands in non-math modes} The commands \type {\mathchar}, and \type {\Umathchar} and control sequences that @@ -1071,9 +1174,7 @@ with zero being the default behaviour. \start \def\OneLiner#1#2% - {\NC #1 -% \NC \ruledhbox{\mathsurroundmode#1\relax\hsize 100pt x$x$x} -% \NC \ruledhbox{\mathsurroundmode#1\relax\hsize 100pt x $x$ x} + {\NC \type{#1} \NC \dontleavehmode\inframed[align=normal,offset=0pt,frame=off]{\mathsurroundmode#1\relax\hsize 100pt x$x$x} \NC \dontleavehmode\inframed[align=normal,offset=0pt,frame=off]{\mathsurroundmode#1\relax\hsize 100pt x $x$ x} \NC #2 @@ -1086,7 +1187,7 @@ with zero being the default behaviour. \typebuffer \getbuffer -\starttabulate[|Tc|c|c|pl|] +\starttabulate[|c|c|c|pl|] \HL \BC mode \BC \type {x$x$x} \BC \type {x $x$ x} \BC effect \NC \NR \HL @@ -1105,7 +1206,7 @@ with zero being the default behaviour. Method six omits the surround glue when there is (x)spacing glue present while method seven does the opposite, the glue is only applied when there is (x)space -glue present too. Anything more fance, like checking the begining or end of a +glue present too. Anything more fancy, like checking the begining or end of a paragraph (or edges of a box) would not be robust anyway. If you want that you can write a callback that runs over a list and analyzes a paragraph. Actually, in that case you could also inject glue (or set the properties of a math node) @@ -1175,7 +1276,7 @@ still stepping through the successively larger variants. When no dimensions are given the \type {noaxis} command can be used to prevent shifting over the axis. You can influence the final class with the keyword \type {class} which will -influence the spacing. +influence the spacing. The numbers are the same as for character classes. \subsection{Fixed scripts} @@ -1196,13 +1297,13 @@ effects. {$\mathscriptsmode#1\mathupright CH_2 + CH^+_2 + CH^2_2$} \starttabulate[|c|c|c|l|] -\NC \bf mode \NC \bf down \NC \bf up \NC \NC \NR -\NC 0 \NC dynamic \NC dynamic \NC \SampleMath{0} \NC \NR -\NC 1 \NC $d$ \NC $u$ \NC \SampleMath{1} \NC \NR -\NC 2 \NC $s$ \NC $u$ \NC \SampleMath{2} \NC \NR -\NC 3 \NC $s$ \NC $u + s - d$ \NC \SampleMath{3} \NC \NR -\NC 4 \NC $d + (s-d)/2$ \NC $u + (s-d)/2$ \NC \SampleMath{4} \NC \NR -\NC 5 \NC $d$ \NC $u + s - d$ \NC \SampleMath{5} \NC \NR +\BC mode \BC down \BC up \BC \NC \NR +\NC 0 \NC dynamic \NC dynamic \NC \SampleMath{0} \NC \NR +\NC 1 \NC $d$ \NC $u$ \NC \SampleMath{1} \NC \NR +\NC 2 \NC $s$ \NC $u$ \NC \SampleMath{2} \NC \NR +\NC 3 \NC $s$ \NC $u + s - d$ \NC \SampleMath{3} \NC \NR +\NC 4 \NC $d + (s-d)/2$ \NC $u + (s-d)/2$ \NC \SampleMath{4} \NC \NR +\NC 5 \NC $d$ \NC $u + s - d$ \NC \SampleMath{5} \NC \NR \stoptabulate The value of this parameter obeys grouping but applies to the whole current @@ -1210,6 +1311,28 @@ formula. % if needed we can put the value in stylenodes but maybe more should go there +\subsection{Penalties: \type {\mathpenaltiesmode}} + +Only in inline math penalties will be added in a math list. You can force +penalties (also in display math) by setting: + +\starttyping +\mathpenaltiesmode = 1 +\stoptyping + +This primnitive is not really needed in \LUATEX\ because you can use the callback +\type {mlist_to_hlist} to force penalties by just calling the regular routine +with forced penalties. However, as part of opening up and control this primitive +makes sense. As a bonus we also provide two extra penalties: + +\starttyping +\prebinoppenalty = -100 % example value +\prerelpenalty = 900 % example value +\stoptyping + +They default to inifinite which signals that they don't need to be inserted. When +set they are injected before a binop or rel noad. This is an experimental feature. + \subsection {Tracing} Because there are quite some math related parameters and values, it is possible |