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authorKarl Berry <karl@freefriends.org>2008-09-28 00:46:28 +0000
committerKarl Berry <karl@freefriends.org>2008-09-28 00:46:28 +0000
commitc68df5600f6190607d37be25c0a9508e58ebfef6 (patch)
treeb78ef29f00e83dcdac631cbb390bad9e1c5fef0f /Master/texmf-dist/tex/latex/isomath
parente1449e04bf8c0fd9d480fd30a437b89aa11b023d (diff)
new latex package isomath (25sep08)
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+% isomath.sty: Math for scientists
+% ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+%
+% :Copyright: © 2008 Günter Milde,
+% Released under the terms of the GNU General Public License
+% (v. 2 or later)
+%
+% :Abstract: The isomath package enables formatting Greek and Latin letters
+% as symbols for vectors, matrices, and tensors in the typefaces
+% recommended for scientific papers by the International
+% Standard ISO 31.
+%
+% .. contents::
+%
+% Introduction
+% ************
+%
+% Motivation
+% ==========
+%
+% Scientific organisations like IUPAP_, IUPAC_, NIST_, BIPM_, and others
+% recommend typesetting math according to International Standard ISO 31
+% `Quantities and units`_ (ISO 31-0:1992 to ISO 31-14:1992).\ [#]_
+%
+% .. [#] A summary of these rules is free available [typefaces]_. See also
+% [symbol-fonts]_ and [SI-brochure]_.
+%
+% The traditional `LaTeX-style` deviates in some points from this rules:
+%
+% * The ``\vec`` command produces an array accent, while ISO 31 recommends
+% a `bold italic` typeface for vector symbols.
+%
+% * Greek letters are excluded from font changes with the math alphabets,
+% while the ISO 31 rules apply equally to letters from both the Greek
+% and the Latin alphabet.
+%
+% * There is no provision for typesetting of Greek letters in `bold italic`
+% style recommended for vectors (even though the required fonts are
+% available).
+%
+% * There is no provision for typesetting letters in `sans-serif bold italic`
+% recommended for typesetting tensor symbols.
+%
+% Some of these points are already adressed by `related packages`_, however
+% there is currently no package (known to the author) that defines the
+% *sans-serif bold italic* math alphabet needed for tensor symbols.
+%
+%
+% Features
+% ========
+%
+% The ``isomath.sty`` package facilitates the task to abide with ISO 31 when
+% typesetting math with LaTeX:
+%
+% * It utilises fixmath_ to re-define Greek letters as ``\mathalpha``, taking
+% them from the "letters" symbol fonts (as opposed to "operators" in
+% ``fontmath.ltx``). This ensures that
+%
+% + Greek letters change shape together with Latin letters if a different
+% math alphabet is used.
+%
+% + Uppercase Greek letters are typeset in italic style by default.
+%
+% + Upright Greek letters are available through the ``\mathrm`` and
+% ``\mathbf`` alphabets, if the corresponding fonts are OML encoded.
+%
+% * The `command aliases`_ ``\vectorsym``, ``\matrixsym``, and ``\tensorsym``
+% select an ISO-conforming typeface.
+%
+% * For this, `new math alphabets`_ are defined:
+%
+% :``\mathbold``: for *boldface italic* (vector and matrix
+% symbols),
+%
+% :``\mathsans``: for *sans-serif italic* ,
+%
+% :``\mathboldsans``: for *sans-serif bold italic* (tensor symbols).
+%
+% The family for these fonts is by default taken from the document's
+% ``\rmdefault`` and ``\sfdefault`` values. The ``rmdefault=<family>`` and
+% ``sfdefault=<family>`` options_ can be used to override the defaults.
+%
+% * `Font mappings`_ are defined for families which have an OML encoded
+% counterpart but miss the substitution definition.
+%
+% .. Now, it should be possible to typeset, e.g., the symbol for the tensor of
+% dielectric permittivity ε according to the rules (i.e. sans-serif bold
+% italic).
+%
+% .. caution:: Using small Greek letters in a math alphabet command (e.g.
+% ``\mathrm{\pi}``) can lead to garbage.
+%
+% You can use the `OML math*`_ options (if the used font supports the
+% `OML font encoding`_) or place the Greek letter outside the math
+% alphabet command. Some packages (including fixmath_) provide ``\up*``
+% or ``\var*`` macros for upright Greek letters, e.g.
+% ``\mathrm{k}\upOmega``.
+%
+%
+% Examples
+% ========
+%
+% * ``\usepackage{isomath}``
+%
+% In many cases (when ``\sfdefault`` expands to "cmss"), the
+% ``\mathboldsans`` alphabet is neither bold nor sans, as "cmss" has no OML
+% encoded variants and maps to "cmmi".
+%
+% * Use cmbright_ for the sans-serif math alphabets::
+
+\usepackage[sfdefault=cmbr]{isomath}
+
+% * Redefine the standard ``\vec`` macro to typeset its argument in `bold
+% italic`::
+
+% \usepackage[sfdefault=cmbr]{isomath}
+% \renewcommand{\vec}{\vectorsym}
+%
+% * The mathdesign_ package comes with an OML encoded bold roman font but does
+% not use it for ``\mathbf`` in the default setting. With ::
+
+% \usepackage[charter]{mathdesign}
+% \usepackage[OMLmathbf,sfdefault=cmbr]{isomath}
+%
+% ``\mathbf{\pi}`` works as expected.
+%
+% Related packages
+% ================
+%
+% Some packages already define Greek letters as ``\mathalpha`` and provide the
+% ``\mathbold`` alphabet (in OML):
+%
+% * arev_ (Arev/Vera Sans)
+% * cmbright_ (CM Bright)
+% * eulervm_ (Euler Math)
+% * fixmath_ (Computer Modern)
+% * hvmath_ (HV-Math/Helvetica)
+% * mathpazo_ (Palatino)
+% * tmmath_ (TM-Math/Times)
+%
+% This package builds on and extends fixmath_ by Walter Schmidt
+% (see Requirements_).
+%
+% The cmbright_ package provides fonts for ``\mathsans`` and
+% ``\mathboldsans`` matching with Computer Modern and derivatives.
+%
+% Conflicts
+% ---------
+%
+% The `fourier`_ package for math typesetting with Utopia defines its own,
+% incompatible math font encodings. It cannot be used with ``isomath`` but
+% provides other means to typeset upright or italic Greek (see its
+% documentation).
+%
+% The `kpfonts`_, `pxfonts`_, and `txfonts`_ packages define many additional
+% math alphabets and can only be combined with ``isomath``, if the
+% reuseMathalphabets_ option is used.
+%
+% OML font encoding
+% =================
+%
+% If a math alphabet shall support both, Greek and Latin letters, it must use
+% the OML font encoding — no other established encoding provides Latin and
+% Greek letters in one font:
+%
+% * LGR is Greek-only,
+% * T7 is just a "reserved name" for a standard Greek encoding.
+%
+% The `LaTeX font encodings` guide [encguide]_ defines:
+%
+% The OML encoding contains italic Latin and Greek letters for use in
+% mathematical formulas (typically used for variables) together with some
+% symbols.
+%
+% and names it `TeX math italic`. However, the reference to *italic* seems to
+% be a description of the *state of the art* rather than a necessary
+% restriction:
+%
+% * The only OML encoded CM font is "Computer Modern Math Italic" (cmmi),
+%
+% * but generally, font encodings (T1, OT1) are not specific to the font shape.
+%
+% * Both, ``\DeclareSymbolFont`` and ``\DeclareMathAlphabet`` require a
+% {<shape>} argument. Thus it is possible to define OML encoded math
+% alphabets in roman {n} as well as italic {it} shape without conflicts.
+%
+% * A more suitable public name would be `TeX math letters` or `Original/Old
+% Math Letters`. The latter would also explain the acronym OML.
+%
+% Unfortunately, support for the OML encoding is missing for many font
+% families even if the base font contains all Greek letters.
+% Supported font families can be found searching for ``oml*.fd`` files and by
+% grepping for "DeclareFont.*OML", "SymbolFont.*OML" and "MathAlphabet.*OML"
+% in ``*.sty`` files.
+%
+% .. table:: Table 1: Fonts supporting the OML font encoding
+% :class: booktab
+%
+% ============= =========================== ======= ======== ====== =======
+% Name Family {m}{it} {bx}{it} {m}{n} {bx}{n}
+% ============= =========================== ======= ======== ====== =======
+% aer AE (Almost European) x x
+% antt Antykwa Torunska x x
+% cmr Computer Modern Roman x x
+% ccr Concrete x x
+% cmbr Computer Modern Bright x x
+% hlh Lucida x x
+% hfor CM with old-style digits x x
+% iwona Iwona (sans serif) x x
+% jkp Kepler Serif x x
+% jkpl Kepler Serif x x
+% jkpvos Kepler Serif x x
+% jkplvos Kepler Serif x x
+% llcmm LXfonts (sans serif) x x
+% lmr Latin Modern Roman x x
+% mak Kerkis x
+% mdbch Math Design Charter x x ? x
+% mdput Math Design Utopia x x ? x
+% mdugm Math Design Garamond x x ? x
+% neohellenic GFS Neohellenic x
+% plcm CM (PLaTeX) x
+% ptmom Times (Omega or MB-Times) x x
+% ptmomu Times (Omega or MB-Times) x x
+% ptmcm Times (psfont) x
+% pxr Palatino (pxfonts) x x
+% qpl Palatino/Pagella (qpxmath) x x
+% qtm Times/Termes (qtxmath) x x
+% txr Times (txfonts) x x
+% ywclm (greektex) x x
+% zavm Arev (Vera Sans-Serif) x x
+% zesfcm (efont) x
+% zplm Palatino (mathpazo) x x
+% zpple x x
+% ztmcm Times (mathptmx) x
+% zer Computer Modern (zefonts) x x
+% ============= =========================== ======= ======== ====== =======
+%
+% Explanations:
+%
+% * If there is an alias (substitution) from the text font to a math-variant,
+% only the text font is listed.
+%
+% * Many text fonts define substitutions also for {n}, however mapping to
+% an italic variant of the OML encoded font. These are not listed as
+% supporting {m}{n} or {bx}{n} here.
+%
+% The following fonts define ``cmm`` as OML substitution. A better matching
+% substitution can be set with the rmdefault_ option.
+%
+% .. _table 2:
+%
+% .. table:: Table 2: Non-CM fonts with ``cmm`` as OML substitution
+% :class: booktab
+%
+% ============= ===============================
+% Family Name
+% ============= ===============================
+% bch Charter (psnfss)
+% pag Avant Garde (psnfss)
+% pbk Bookman (psnfss)
+% pcr Courier (psnfss)
+% phv Helvetica (psnfss)
+% pnc New Century Schoolbook (psnfss)
+% ppl Palatino (psnfss)
+% ptm Times Roman (psnfss)
+% put Utopia (psnfss)
+% pzc Zapf Chancery (psnfss)
+% uag Avant Garde (avantgar)
+% ubk Bookman (bookman)
+% ucr Courier (courier)
+% ucrs Courier
+% unc New Courier (nctrsbk)
+% uni Universal (universa)
+% uhv Helvetica (helvetic)
+% upl Palatino (palatino)
+% utm Times (times)
+% uzc Zapf Chancery (zapfchan)
+% ============= ===============================
+%
+% Conclusions and outlook
+% =======================
+%
+% It is hoped, that in the future more fonts families will support the OML
+% encoding in normal and bold weight as well as upright and italic shape.
+% This would be a major step towards the full support of the `Mathematical
+% Alphanumeric Symbols`_ Unicode block.
+%
+% This is (relatively) easy to achieve via virtual fonts when the glyphs for
+% the Greek letters already exist (this is the case for many fonts where the
+% primary version is Unicode encoded). Examples are Latin Modern, Kerkis,
+% GFS-Neohellenic, LX-Fonts and KP-Serif.
+%
+% Alternatively, T7 could be used for math alphabets (if it ever happens to
+% materialise).
+%
+% Upright small Greek letters in ``\mathrm`` would enable the specification of
+% Myons, Pions, alpha-particles, photons, and neutrinos without special
+% packages. (With mathdesign_, this is already possible today.)
+%
+% Implementation
+% **************
+%
+% Identification
+% ==============
+% ::
+
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{isomath}
+[2008/06/23 v0.1 typeset math according to International Standard ISO 31]
+
+% Requirements
+% ============
+%
+% fixmath
+% -------
+%
+% fixmath_ by Walter Schmidt defines Greek letters as symbols of type
+% ``\mathalpha`` and takes them from the "letters" SymbolFont in
+% ``\mathnormal``. (It also defines the ``\mathbold`` alphabet, setting it to
+% ``cmm``. This definition will be overwritten with a configurable value for
+% the font family below.)
+% ::
+
+\RequirePackage{fixmath}
+
+% ifthen
+% ------
+%
+% The standard LaTeX package `ifthen`_ provides the commands ``\ifthenelse``,
+% and ``\whiledo``. ::
+
+\RequirePackage{ifthen}
+
+% kvoptions
+% ---------
+%
+% The kvoptions_ package in the oberdiek_ bundle facilitates the setup of
+% package options and provides a key=value interface (based on keyval_)::
+
+\RequirePackage{kvoptions}
+
+% Options
+% =======
+%
+% rmdefault
+% ---------
+%
+% Alternative math font family name for roman. The default is to use the
+% corresponding text font family (``\rmdefault``) in OMS encoding.
+% `Table 2`_ lists some fonts where a different setting is advised.
+% ::
+
+\DeclareStringOption[\rmdefault]{rmdefault}
+
+% sfdefault
+% ---------
+%
+% Alternative math font family name for sans-serif. The default is to use the
+% corresponding text font family (``\sfdefault``) in OMS encoding.
+%
+% Computer Modern Sans Serif (cmss) has no italic and bold variants in OMS
+% encoding. Nor have many derivatives (lmss, aess, ...).
+% Actually, there are only a few OML-encoded sans-serif fonts (all
+% slanted/italic):
+%
+% :zavm: arev_ (Vera Sans with math extension)
+% :cmbr: cmbright_ (Computer Modern Bright, slightly lighter than cmss)
+% :iwona: iwona_ (Humanistic Sans Serif)
+% :hvm: hvmath_ (Helvetica Math, commercial, free bitmap version)
+% :llcmm: lxfonts_ (LX Fonts, very wide and quite eccentric, new in 2008)
+%
+% For many fonts (especially CM and related), ``[sfdefault=cmbr]`` is the
+% recommended setting.
+%
+% ::
+
+\DeclareStringOption[\sfdefault]{sfdefault}
+
+
+% reuseMathalphabets
+% ------------------
+%
+% The definition of `new math alphabets`_ can lead to a "too many math
+% alphabets used in version normal" error.
+%
+% As a workaround, this option tells ``isomath`` to re-use the existing
+% ``\mathbf`` and ``\mathsf`` alphabets for italic bold and sans-serif.
+%
+% To access the upright shapes, the corresponding ``\textbf`` and ``\textsf``
+% command can be used (remember that this toggles the math-mode off and might
+% use a different font).
+%
+% Both standard and `new math alphabets`_ are in upright shape, if this option
+% is combined with the corresponding `OML math*`_ option.
+% ::
+
+\DeclareBoolOption{reuseMathalphabets}
+
+% OML math*
+% ---------
+%
+% These options cause isomath to `redefine standard alphabets`_ in OML
+% encoding.
+%
+% With Greek letters defined as ``\mathalpha``, the math alphabets are
+% expected to be in `OML font encoding`_. OT1 encoded fonts have ligatures and
+% non-alpha symbols in place of the small Greek letters.
+%
+% Setting these options enables access to small Greek letters in different
+% shapes with e.g. ``\mathrm{\pi}``.
+% Currently, support for the `OML font encoding`_ is rather limited:
+%
+% * only the mathdesign_ fonts support *bold roman* in OML encoding, while
+% * many font packages define an italic font as OML replacement for a roman
+% font.
+%
+% With some packages, these options can result in a "too many math alphabets
+% used in version normal" error.
+% ::
+
+\DeclareBoolOption{OMLmathrm}
+\DeclareBoolOption{OMLmathbf}
+\DeclareBoolOption{OMLmathsf}
+\DeclareBoolOption{OMLmathtt}
+
+
+% ============
+%
+% Process the options with ``kvoptions`` extensions::
+
+\ProcessKeyvalOptions*
+
+% Declarations
+% ============
+%
+% New math alphabets
+% ------------------
+%
+% The `italic bold` math alphabet is named ``\mathbold`` in `related
+% packages`_. For letters, this is the same as the bold version of
+% ``\mathnormal``. With the reuseMathalphabets_ option, ``\mathfb`` is
+% redefined and ``\mathbold`` made an alias (overwriting existing
+% definitions). ::
+
+\ifthenelse{\boolean{isomath@reuseMathalphabets}}
+{
+ \DeclareMathAlphabet{\mathbf}{OML}{\isomath@rmdefault}{bx}{it}
+ \def\mathbold{\mathbf}
+}
+{
+ \DeclareMathAlphabet{\mathbold}{OML}{\isomath@rmdefault}{bx}{it}
+}
+
+% For `italic sans-serif`, we either redefine ``\mathsf`` (with
+% reuseMathalphabets_) or, in analogy to ``\mathbold``, we define the new
+% alphabet ``\mathsans``::
+
+\ifthenelse{\boolean{isomath@reuseMathalphabets}}
+{
+ \DeclareMathAlphabet{\mathsf}{OML}{\isomath@sfdefault}{m}{it}
+ \def\mathsans{\mathsf}
+}
+{
+ \DeclareMathAlphabet{\mathsans}{OML}{\isomath@sfdefault}{m}{it}
+}
+
+% A `sans serif slanted bold` alphabet is needed for the tensor
+% symbols. As there is no standard math alphabet to re-use, we define the new
+% alphabet ``\mathboldsans``::
+
+\DeclareMathAlphabet{\mathboldsans}{OML}{\isomath@sfdefault}{bx}{it}
+
+
+% Redefine standard alphabets
+% ---------------------------
+%
+% Redefine standard alphabets in `OML font encoding`_
+% (if the corresponding `OML math*`_ option is true). ::
+
+\ifthenelse{\boolean{isomath@OMLmathrm}}
+{\SetMathAlphabet{\mathrm}{normal}{OML}{\isomath@rmdefault}{n}{n}}{}
+\ifthenelse{\boolean{isomath@OMLmathbf}}
+{\SetMathAlphabet{\mathbf}{normal}{OML}{\isomath@rmdefault}{b}{n}}{}
+\ifthenelse{\boolean{isomath@OMLmathbf}}
+{\SetMathAlphabet{\mathsf}{normal}{OML}{\isomath@sfdefault}{n}{n}}{}
+\ifthenelse{\boolean{isomath@OMLmathtt}}
+{\SetMathAlphabet{\mathtt}{normal}{OML}{\ttdefault}{n}{n}}{}
+
+% Command aliases
+% ---------------
+%
+% Define commands to typeset some symbol categories complying to
+% the ISO standard.
+%
+% Vector symbols
+% """"""""""""""
+%
+% Symbols for vectors are *boldface italic*::
+
+\newcommand{\vectorsym}{\mathbold}
+
+% For easier writing or to make existing documents conform to the standard,
+% you might want to re-define the standard ``\vec`` command after loading this
+% package (cf. the Examples_ section).
+%
+% Matrix symbols
+% """"""""""""""
+%
+% Symbols for matrices are *boldface italic*, i. e. typeset in the same face as
+% vectors (see [typefaces]_). [#]_ ::
+
+\newcommand{\matrixsym}{\mathbold}
+
+% .. [#] However, matrix symbols are usually capital letters whereas vectors
+% are small ones. Exceptions are physical Quantities like the force
+% vector F or the electrical field E.
+%
+% Tensor symbols
+% """"""""""""""
+%
+% Symbols for tensors are *sans-serif bold italic*::
+
+\newcommand{\tensorsym}{\mathboldsans}
+
+% Font mappings
+% -------------
+%
+% Some font packages provide a matching math font but do not define a
+% substitution in their ``*.fd`` files.
+%
+% We define the substitutions needed for the math alphabet definitions in this
+% package. Ideally, these should become part of a more complete set of
+% definitions in the package's fd file(s):
+%
+% Mathpazo (Palatino) ppl -> zplm ::
+
+\DeclareFontFamily{OML}{ppl}{\skewchar\font127}
+\DeclareFontShape{OML}{ppl}{m}{it}{<-> ssub * zplm/m/it}{}
+\DeclareFontShape{OML}{ppl}{bx}{it}{<-> ssub * zplm/b/it}{}
+
+% Arev (arev): fav -> zavm ::
+
+\DeclareFontFamily{OML}{fav}{}
+\DeclareFontShape{OML}{fav}{m}{it}{<->ssub * zavm/m/it}{}
+\DeclareFontShape{OML}{fav}{bx}{it}{<->ssub * zavm/b/it}{}
+
+% LX Fonts (lxfonts): llcmss -> llcmm ::
+
+\DeclareFontFamily{OML}{llcmss}{}
+\DeclareFontShape{OML}{llcmss}{m}{it}{<-> ssub * llcmm/m/it}{}
+\DeclareFontShape{OML}{llcmss}{bx}{it}{<-> ssub * llcmm/bx/it}{}
+
+% The end
+% =======
+% ::
+
+\endinput
+
+% TODO
+% ====
+%
+% The ``\mathsans`` definition "increases symmetry". However, it adds a math
+% alphabet that is rarely (or not at all) used. Giving the limit of 16 math
+% alphabets, it might be better not to define it. Make it an option?
+%
+% About this file
+% ===============
+%
+% The package documentation is included in the source file.
+%
+% The bidirectional text <-> code converter PyLit_ can be used to transform
+% the LaTeX package ``isomath.sty`` to a `reStructured Text`_ document
+% ``isomath.sty.txt`` (and back again). To translate ``isomath.sty.txt`` to
+% LaTeX or HTML, the Python docutils_ are required.
+%
+%
+% References
+% ==========
+%
+% .. [encguide] `LaTeX font encodings`:
+% http://dante.ctan.org/CTAN/macros/latex/doc/encguide.pdf
+%
+% .. [symbol-fonts] `On the use of italic and roman fonts for symbols in
+% scientific text`, I.M. Mills and W.V. Metanomski (Revised December 1999):
+% http://old.iupac.org/standing/idcns/fonts_for_symbols.html
+%
+% .. [Green-Book] `Quantities, Units and Symbols in Physical Chemistry`,
+% 3rd edition, RSC Publishing, Cambridge 2007:
+% [ISBN 0 85404 433 7; ISBN-13 978 0 85404 433 7]
+%
+% .. [typefaces] `Typefaces for Symbols in Scientific Manuscripts`:
+% http://physics.nist.gov/Document/typefaces.pdf
+%
+% .. [SI-brochure] `The International System of Units (SI)`:
+% http://www.bipm.org/en/si/si_brochure/
+%
+% .. see also
+% [koma-mail] Custom font substitution: http://www.komascript.de/node/823
+%
+% .. Links
+% .. *****
+%
+% .. _BIPM: http://www.bipm.org/
+% .. _IUPAC: http://iupac.org/
+% .. _IUPAP: http://www.iupap.org/
+% .. _NIST: http://physics.nist.gov/
+% .. _Quantities and units:
+% http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_tc_browse.htm?commid=46202
+% .. _mathematical alphanumeric symbols:
+% http://www.unicode.org/charts/PDF/U1D400.pdf
+% .. _arev: http://dante.ctan.org/CTAN/help/Catalogue/entries/arev.html
+% .. _cmbright: http://dante.ctan.org/CTAN/help/Catalogue/entries/cmbright.html
+% .. _eulervm: http://dante.ctan.org/CTAN/help/Catalogue/entries/eulervm.html
+% .. _fixmath: http://dante.ctan.org/CTAN/help/Catalogue/entries/fixmath.html
+% .. _fix-cm: http://dante.ctan.org/CTAN/help/Catalogue/entries/fix-cm.html
+% .. _fourier: http://dante.ctan.org/CTAN/help/Catalogue/entries/fourier.html
+% .. _hvmath: http://dante.ctan.org/CTAN/help/Catalogue/entries/hvmath.html
+% .. _ifthen: http://dante.ctan.org/CTAN/help/Catalogue/entries/ifthen.html
+% .. _iwona: http://dante.ctan.org/CTAN/help/Catalogue/entries/iwona.html
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