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This package is meant to be installed automatically by TeXLive, MikTeX, etc. Otherwise, XCharter-Math can be installed under TEXMFHOME or TEXMFLOCAL, f.i. XCharter-Math.otf in directory texmf-local/fonts/opentype/public/xcharter-math/ and fourier-otf.sty in directory texmf-local/tex/latex/xcharter-math/. Documentation files and their sources can go to directory texmf-local/doc/fonts/public/xcharter-math/

I am currently using Latin Modern Math fonts on LuaTeX to get a complete set of math fonts. In particular consideration is the ability to use bold greek \mathbfup{\lambda} fonts and bold calligraphic fonts \mathbfcal{F}. I was wondering if there is another fonts which supports all such symbols?

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Here's an overview of how 11 different unicode math fonts display \mathcal{F}, \symbfcal{F}, \lambda, and \symbfup{\lambda}, plus XITS-Stylistic Set 1 and Asana Math Alternate. (The 11 math fonts were chosen primarily because they happen to be available on my system. Your system may have either more of fewer unicode math fonts.) Feel free to adjust the contents of the \blurb macro to feature the symbols you're really interested in.

In the screenshot, you'll notice that Neo Euler doesn't feature an upright-bold lambda symbol. This isn't really surprising, since the Euler math font is an upright (as opposed to "slanted" or "sloped") font anyway.

In addition to judging a math font by the completeness of its symbol set -- of course, no font's collection of symbols can ever be truly "complete" -- you should also think about whether the appearance, or look, of the symbols (including sum, product, and integral symbols) satisfies your typographic needs. E.g., if for some reason you are required to use a Times Roman text font, and if you are required to make the math font mesh reasonably well with the text font, visually speaking, you should probably restrict your search to Stix Math, Stix Two Math, XITS Math, and Termes Math, as those are the math fonts based on/derived from Times Roman.

The STIX Two stylistic sets are fully documented in a file called docs/STIX_2.0.0_stylistic_sets.pdf in the STIX distribution. You can also open any math font in FontForge and check for stylistic and alternate sets: stylistic sets have names such as ss01 and alternates, such as the one for Asana Math, are salt.

This package is meant to be installed automatically by TeXLive, MikTeX, etc. Otherwise, Erewhon-Math can be installed under TEXMFHOME or TEXMFLOCAL, f.i. Erewhon-Math.otf in directory texmf-local/fonts/opentype/public/erewhon-math/ and fourier-otf.sty in directory texmf-local/tex/latex/erewhon-math/. Documentation files and their sources can go to directory texmf-local/doc/fonts/public/erewhon-math/

The unicode-math package will load the Latin Modern Math font by default, which also has various blackboard bold glyphs. The can be accessed as usual via \mathbb. Moreover unicode-math defines shorthands for all glyphs (which avoids loading huge token lists). These can be looked up in unimath-symbols. For blackboard bold glyphs these shorthands are \BbbA for A and so on.

I am looking for information how to implement Math OTF font in XeTeX or LuaTeXat TeX primitive level (using XeTeX or LuaTeX primitives). There exist a LaTeX package unicode-math.Unfortunatelly, this package is LaTeX oriented, documentation is at LaTeX userlevel and implementation in LaTeX3 language which is far from TeX primitives.So, the inspiration from this package is impossible for me.

You must set (at least) math family 2 and 3 using \font, \textfont, \scriptfont and\scripscriptfont primitives. The metric of such fonts must include more\fontdimens than basic 7 (dim 8--22 for family 2 and dim 8--13 in family 3,they are used as described in appendix G in the TeXbook).

Each elementary math object can be a "character" decladed by \matcode or a"control sequence" declared by \mathchardef. The data points to type of theobject (used for horizontal spacing) and to the family plus slot of the font.

The \delimiter code must point to family plus slot. There are pointersto create a queue of consecutive characters (big to bigger brackes). These pointers are in font metric of used font and the queue can ends by specialpointers for components of a bracket of arbitrary size. Similar principle is used for radicals queue.

So, this is (roughly speaking) the basic information about background of mathtypesetting at TeX primitive level. But these informations are useless for mewhen I am working with (say) texgyrepagella-math.otf. Where are the pointers of brackets or radical queues? Where are extended font dimens?

Of course, I know how to load this font using extended syntax of \font primitive, I can set afont feature using \font primitive and I know that there exists primitives\Umathchar and \Umathchardef. But this is very few information. This isinsufficient to declare basic unicode math typesetting.

In classical TeX a number of math mode fonts are used to supply the output glyphs based on the input, and as observed in the question the relevant \mathcode of the input token. In contrast, when using a Unicode math mode font only one font is used to supply all of the glyphs. As such, rather than the limited number of slots available in a TeX font there are large number of math mode-specific entries in a Unicode font.

To set up the font dimensions required for math mode working, the engine or a suitable loader has to read the table supplied by the font. In XeTeX this happens as part of the (extended) \font primitive, for example

whilst in LuaTeX a Lua-based loader is required to extend the \font primitive (which out-of-the-box is identical to that in TeX90) (Realistically the font loader to use with LuaTeX is luaotfload, which is based on that written for ConTeXt but loadable with plain, LaTeX, _etc. There is work ongoing to use the HarfBuzz shaper with LuaTeX but this is not at present usable to my knowledge.)

An important consequence of using only one font is that for example making symbols bold requires that all of the relevant math codes change. Thus setting up something \bf requires that we map over all code points affected and alter their \Umathcode.

Whilst only one font is required, it is necessary to define math families two and three to satisfy the engine that sufficient math parameters are available. (This may change, certainly in LuaTeX, as it seems to be a hold-over of code paths from TeX90.) At the same time, script fonts need to be loaded telling the loader what they are. This leads to a minimal font loading set up something like

As noted in comments, there are a large number of additional font dimensions in Unicode math fonts. LuaTeX gives these names (all listed in the LuaTeX manual), whilst for XeTeX they have numbers and are accessed using \fontdimen.

The TeX90 primitives \delimiter, \mathaccent and \radical all have extended Unicode versions: \Udelimiter, \Umathaccent and \Uradical. Unlike the TeX90 versions, \Udelimiter and \Uradical do not need to point to multiple glyph slots: only one slot is needed and the font shaper is responsible for growing the glyph as required. The syntax of \Umathaccent is significantly extended compared to \mathaccent, certainly for LuaTeX. All three primitives are described in the LuaTeX manual and to a lesser extend in the XeTeX one.

The key information in the accepted answer is: load Unicode Math font(UnMaFo) as family 2 and the same font as family 3. The TeX engine (XeTeXor LuaTeX) re-calculates appropriate fontdimens for family 2 and family 3from UnMaFo when these families are set.

After understanding this, I am able to do simple plain TeX macros forunicode math. I did this in the uni-math.tex file released newly in thecsplain package. It was mirrored from my www pages to CTAN yesterday and itwas mirrored to TL-pretest today. The uni-math.tex uses straightforwardplain TeX macros (including loading fonts at arbitrary sizes; this featureis used in OPmac macros, for example). You can compare 270 clear plain TeXcode lines of uni-math.tex with 5671 lines in unicode-math.sty. Or compareten milions lines of log file when simple LaTeX document (with fontspec andunicode-math) is traced by \tracingall with 262k lines in log when thesame is done using uni-math.tex. UnMaFo is nothig mystical.

There is no difference between XeTeX and LuaTeX. If LuaTeX is used, thenyou must only do \input luafonts to execute one \directlua whichre-declares \font primitive. Now, the \font primitive in LuaTeX hassomewhat extended syntax than in XeTeX, but using XeTeX syntax issufficient and works in both engines.

Load UnMaFo in family 2 and the same in family 3, as mentioned above. Youcan load the same in family 1 too and set all Umathcodes to family 1 asdefault. The fontfeatures must be appended by mode=base;script=math; andthe fonts for script and scriptcsript sizes can have more fontfeatures+ssty=0; and +ssty=1; respectively. May be, the UnMaFo is able to dealwith optical sizes for such cases.

To prepare such Math alphabet selectors like \cal we must know, that allMath alphabets are in one font at given codes, so switching by\fam=something is bad. We use "base-code sets" `A-`Z, `a-`z forroman Latin characters, `0-`9 for digits and "391-"3D5 for Greekcharacters. The macros like \cal changes the \Umathcodes of charactersin appropriate base-code set. So, user can write A from base-code setand it creates calligraphic A when \cal was used.

More fonts can be loaded to next families 4, 5, 6, etc. It is irrelevantwhat type of font it is: UnMaFo or Text Unicode or classical 8bit. Then youcan switch to usage of characters from such fonts by \fam=number, if thegiven code has a type 7.

Unfortunately, there isn't complete bold math version of common UnMaFo, onlyspecific math alphabets have bf variant, no other symbols. We need completemath bold in titles where bold text font is used. I used "poor bold" forsuch case implemented by 2 Tr PDF operator.

Considering one uses math symbols in a document, it is desirable to have them all displayed in the serif font one is using for text, or in basically any font x one would like to use for this sort of thing. 006ab0faaa