[XeTeX] XeLaTeX and Mathematics

[Andrew Moschou]

Hello,

I have here something that tries to combine XeLaTeX and mathematics
without resulting in the mathematics typeset in Computer Modern which
rarely blends with the surrounding text, source below, PDF attached. I
have put Latin covered by Bembo MT, Greek by GFS Didot Classic and
other symbols proved by MnSymbol (I'm having doubts on the combination
of Bembo and Didot Classic.). There are some issues that I want to
discuss here.

When using e.g. \XeTeXmathcode`#1=0 6`#1, the font is chosen by using
"6" here. Is there a better way to select the font, perhaps using "Gm"
as suggested by \DeclareSymbolFont earlier in the preamble? If things
get shifted around then 6 might no longer represent GFS Didot Classic.
If I decide not to use MnSymbol or another mathematics package and if
unicode-math won't work, I would have to define the other symbols case
by case and whatever numbers corresponds to the particular mathematics
fonts (I did try this but gave up, settling on MnSymbol), here a lot
of trouble would come from keeping track of the fonts including
fraktur, blackboard bold, script.

The letters in mathematics are typeset according to their metrics as
if they are in text. You can see this with the alphabets in maths
mode, how the letters are next to each other as if they are kerned.
This creates all sorts of alignment and spacing issues e.g. in $S_i^2$
the 2 is too close to the S, and f will collide with its neighbours
too often. It just happens that we can replace f with ƒ but that's far
from being ideal. Is there a way to include "italic corrections" in
maths mode? I tried interchartokens but they work only in text mode,
and making the characters active and defining space around them is
asking for trouble.

Andrew

\documentclass[12pt,a4paper]{article}

\usepackage[no-math]{fontspec}
\usepackage{xltxtra}

\makeatletter
\zf at package@euler at loadedtrue\zf at math@lucidatrue % FOOL FONTSPEC. DON'T
REMEMBER WHY I DO THIS.
% SOMETHING WAS HAPPENING WITH THE CODE ON p. 67 OF fontspec DOCUMENTATION.
% BUT IT DOESN'T SEEM TO HAPPEN ANY MORE. DON'T KNOW WHAT CHANGED.

\setmainfont[Mapping=fi-fl]{Bembo MT} % A SOLARIS SYSTEM FONT,
ARTIFICIAL LIGATURES ARE NEEDED

\newfontfamily\Latin[Mapping=fi-fl]{Bembo MT}
\DeclareSymbolFont{Lmn}{EU1}{\zf at family}{m}{n}
\DeclareSymbolFont{Lmit}{EU1}{\zf at family}{m}{it}

\newfontfamily\Greek{GFS Didot Classic} % ONE OF THE BEST GREEKS I'VE
SEEN (BUT NO DIGAMMA!)
\DeclareSymbolFont{Gm}{EU1}{\zf at family}{m}{n}

\usepackage{amsmath}
\usepackage{MnSymbol}

\catcode`¡=13 % A CHARACTER I WOULD NEVER USE, MAKES SIMPLER CODE BELOW
%%%% FIGURES
\newcommand¡[1]{\DeclareMathSymbol{#1}{\mathord}{Lmn}{`#1}}
	¡0¡1¡2¡3¡4¡5¡6¡7¡8¡9
%%%%% LATIN
\newcommand¡[1]{\DeclareMathSymbol{#1}{\mathalpha}{Lmit}{`#1}} %
\renewcommand DOESN'T WORK, XELATEX INSISTS ¡ IS UNDEFINED!
	¡a¡b¡c¡d¡e¡f¡g¡h¡i¡j¡k¡l¡m¡n¡o¡p¡q¡r¡s¡t¡u¡v¡w¡x¡y¡z %
\XeTeXmathcode`f=0 5`ƒ % SPECIAL CASE F DOESN'T CRASH INTO NEIGHBOURS
EG $f^2$
	¡A¡B¡C¡D¡E¡F¡G¡H¡I¡J¡K¡L¡M¡N¡O¡P¡Q¡R¡S¡T¡U¡V¡W¡X¡Y¡Z
%%%% GREEK
\newcommand¡[2]{\XeTeXmathcode`#1=0 6`#1\let#2=#1}
	¡α\alpha¡β\beta¡γ\gamma¡δ\delta¡ε\epsilon¡ζ\zeta¡η\eta¡θ\theta¡ι\iota¡κ\kappa¡λ\lambda
	¡μ\mu¡ν\nu¡ξ\xi¡ο\omicron¡π\pi¡ρ\rho¡σ\sigma¡τ\tau¡υ\upsilon¡φ\phi¡χ\chi¡ψ\psi¡ω\omega
	¡ς\varsigma¡ϐ\varbeta¡ϑ\vartheta¡Ϛ\stigma¡Ϡ\sampi % SOME FONTS WON'T
DISPLAY THESE CHARACTERS
\newcommand¡[2]{\XeTeXmathcode`#1=7 6`#1\let#2=#1}
	¡Α\Alpha¡Β\Beta¡Γ\Gamma¡Δ\Delta¡Ε\Epsilon¡Ζ\Zeta¡Η\Eta¡Θ\Theta¡Ι\Iota¡Κ\Kappa¡Λ\Lambda
	¡Μ\Mu¡Ν\Nu¡Ξ\Xi¡Ο\Omicron¡Π\Pi¡Ρ\Rho¡Σ\Sigma¡Τ\Tau¡Υ\Upsilon¡Φ\Phi¡Χ\Chi¡Ψ\Psi¡Ω\Omega

\title{\XeLaTeX: fontspec, MnSymbol, Mathematics}
\date{}

\begin{document}
\maketitle

\section*{Text}

Brown \emph{Foxes} Jump. {\Greek Κολοσσός της Ρόδου.}

0123456789

\section*{Mathematics}

\[ ABCDEFGHIJKLMNOPQRSTUVWXYZ \]
\[ \alpha\beta\gamma\delta\epsilon\zeta\eta\theta\iota\kappa\lambda\mu%
\nu\xi\omicron\pi\rho\sigma\varsigma\tau\upsilon\phi\chi\psi\omega\quad\varbeta\vartheta\stigma\sampi
\]
\[ \Alpha\Beta\Gamma\Delta\Epsilon\Zeta\Eta\Theta\Iota\Kappa\Lambda\Mu%
\Nu\Xi\Omicron\Pi\Rho\Sigma\Tau\Upsilon\Phi\Chi\Psi\Omega \]
\[ αβγδεζηθικλμνξοπρσςτυφχψω\quad ϐϑϚϠ \] % I CAN TYPE GREEK DIRECTLY
INTO MATHS !!
\[ ΑΒΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΩ \]
\[ 0123456789 \]

\newcommand{\pp}[1]{\left(#1\right)}
\[ abcdefghijklmnopqrstuvwxyz \]
\[ \sum_{n=0}^{\infty}{\frac{f^{\pp{n}}\pp{a}}{n!}\pp{x-a}^n} \]

\XeTeXmathcode`f=0 5`ƒ % COMPARE RESULT OF DIFFERENT f
\[ abcdefghijklmnopqrstuvwxyz \]
\[ \sum_{n=0}^{\infty}{\frac{f^{\pp{n}}\pp{a}}{n!}\pp{x-a}^n} \]

\[ S_i^2 \]

\end{document}
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