# -*- mode: Perl -*-
# /=====================================================================\ #
# | mathabx.sty | #
# | Implementation for LaTeXML | #
# |=====================================================================| #
# | Part of LaTeXML: | #
# | Public domain software, produced as part of work done by the | #
# | United States Government & not subject to copyright in the US. | #
# |---------------------------------------------------------------------| #
# | Bruce Miller <bruce.miller@nist.gov> #_# | #
# | http://dlmf.nist.gov/LaTeXML/ (o o) | #
# \=========================================================ooo==U==ooo=/ #
package LaTeXML::Package::Pool;
use strict;
use warnings;
use LaTeXML::Package;
#======================================================================
# Specials (matha/mathb)
# These are intended to overlay to show negation,
# but they're not going to work well for that.
DefMath('\notsign', '|', role => 'OPERATOR', meaning => 'not');
DefMath('\varnotsign', '/', role => 'OPERATOR', meaning => 'not');
DefPrimitive('\changenotsign', sub {
Info('unexpected', '\\changenotsign', $_[0],
"The \\changenotsign operation of mathabx is not implemented."); });
# \cdotp
#======================================================================
# Usual binary operators (matha)
# +, -
# \times, \div
# \cdot, \circ
# *, \ast
DefMath('\asterisk', "\x{2217}", role => 'MULOP');
# DefMath('\coasterisk',Tokens());
DefMath('\ltimes', "\x{22C9}", role => 'MULOP', meaning => 'left-normal-factor-semidirect-product');
DefMath('\rtimes', "\x{22CA}", role => 'MULOP', meaning => 'right-normal-factor-semidirect-product');
# \diamond, \bullet
# \star
DefMathI('\varstar', undef, "\x{2736}", role => 'MULOP');
# Next two probably text style or small size?
DefMathI('\ssum', undef, "\x{2211}", role => 'SUMOP', meaning => 'sum');
DefMathI('\sprod', undef, "\x{220F}", role => 'SUMOP', meaning => 'product');
# \amalg
#======================================================================
# Unusual binary operators (mathb)
DefMath('\dotplus', "\x{2214}", role => 'ADDOP');
DefMath('\dotdiv', "\x{2238}", role => 'MULOP');
DefMath('\dottimes', "\x{2A30}", role => 'MULOP');
DefMath('\divdot', "\x{2A2A}", role => 'MULOP');
DefMath('\udot', "\x{22C5}", role => 'MULOP'); # Same as \cdot, but should shift to left
DefMath('\square', "\x{25A1}", role => 'MULOP');
DefMath('\Asterisk', "\x{273D}", role => 'MULOP');
DefMath('\bigast', "\x{273D}", role => 'MULOP');
# DefMath('\coAsterisk',Tokens());
# DefMath('\bigcoast',Tokens());
DefMath('\circplus', "\x{2A22}", role => 'MULOP');
DefMath('\pluscirc', "\x{2295}", role => 'MULOP'); # Not quite right glyph
DefMath('\convolution', "\x{2733}", role => 'MULOP');
DefMath('\divideontimes', "\x{22C7}", role => 'MULOP');
DefMath('\blackdiamond', "\x{25C6}", role => 'MULOP');
DefMath('\sqbullet', "\x{2BC0}", role => 'MULOP');
DefMath('\bigstar', "\x{1F7CA}", role => 'MULOP');
DefMath('\bigvarstar', "\x{1F7CC}", role => 'MULOP');
#======================================================================
# Usual relations (matha)
# =, \equiv
# \sim, \approx
# \simeq, \cong
# \asymp
DefMath('\divides', "\x{2223}", role => 'RELOP');
# \neq, \ne,
DefMath('\nequiv', "\x{2262}", meaning => 'not-equivalent-to', role => 'RELOP');
Let('\notequiv', '\nequiv');
DefMath('\nsim', "\x{2241}", role => 'RELOP',
meaning => 'not-similar-to'); # NOTE TILDE
DefMath('\napprox', "\x{2249}", meaning => 'not-approximately-equals', role => 'RELOP');
DefMath('\nsimeq', "\x{2243}\x{0338}", role => 'RELOP',
meaning => 'not-equivalent-to-nor-equals');
DefMath('\ncong', "\x{2247}", role => 'RELOP',
meaning => 'not-approximately-equals');
DefMath('\notasymp', "\x{226D}", meaning => 'not-equivalent-to', role => 'RELOP');
DefMath('\notdivides', "\x{2224}", role => 'RELOP', meaning => 'does-not-divide');
#======================================================================
# Unuual relations (mathb)
DefMath('\topdoteq', "=\x{0307}", role => 'RELOP'); # = combining dot
DefMath('\botdoteq', "\x{2A66}", role => 'RELOP');
DefMath('\doteqdot', "\x{2251}", role => 'RELOP', meaning => 'geometrically-equals');
Let('\dotseq', '\doteqdot');
Let('\Doteq', '\doteqdot');
DefMath('\risingdotseq', "\x{2253}", role => 'RELOP', meaning => 'image-of-or-approximately-equals');
DefMath('\fallingdotseq', "\x{2252}", role => 'RELOP', meaning => 'approximately-equals-or-image-of');
DefMath('\coloneq', "\x{2254}", role => 'RELOP');
DefMath('\eqcolon', "\x{2255}", role => 'RELOP');
DefMath('\bumpedeq', "\x{224F}", role => 'RELOP', meaning => 'difference-between');
# DefMath('\eqbumped',Tokens());
DefMath('\Bumpedeq', "\x{224E}", role => 'RELOP', meaning => 'geometrically-equals');
DefMath('\circeq', "\x{2257}", role => 'RELOP');
DefMath('\eqcirc', "\x{2256}", role => 'RELOP');
DefMath('\triangleq', "\x{225C}", role => 'RELOP');
DefMath('\corresponds', "\x{2258}", role => 'RELOP', meaning => 'corresponds-to');
#======================================================================
# Miscellaneous (matha)
# \neq, \lnot, \ll
# \gg,
DefMath('\hash', "#", role => 'RELOP');
# \vdash, \dashv
DefMath('\nvdash', "\x{22AC}", role => 'RELOP');
DefMath('\ndashv', "\x{22A3}\x{0338}", role => 'RELOP');
DefMath('\vDash', "\x{22A8}", role => 'RELOP');
DefMath('\Dashv', "\x{2AE4}", role => 'RELOP');
DefMath('\nvDash', "\x{22AD}", role => 'RELOP');
DefMath('\nDashv', "\x{2AE4}\x{0338}", role => 'RELOP');
DefMath('\Vdash', "\x{22A9}", role => 'RELOP', meaning => 'forces');
DefMath('\dashV', "\x{2AE3}", role => 'RELOP');
DefMath('\nVdash', "\x{22AE}", role => 'RELOP', meaning => 'not-forces');
DefMath('\ndashV', "\x{2AE3}\x{0338}", role => 'RELOP');
DefMath('\degree', UTF(0xB0), role => 'RELOP');
# \prime
DefMath('\second', "\x{02BA}", role => 'RELOP');
DefMath('\third', "\x{2034}", role => 'RELOP');
DefMath('\fourth', "\x{2057}", role => 'RELOP');
# \flat
# \natural, \sharp
# \infty, \propto
# \dagger, \ddagger
#======================================================================
# Miscellaneous (mathb)
DefMath('\between', "\x{226C}", role => 'RELOP', meaning => 'between');
# \smile
# \frown
DefMath('\varhash', "#", role => 'RELOP');
DefMath('\leftthreetimes', "\x{22CB}", role => 'MULOP', meaning => 'left-semidirect-product');
DefMath('\rightthreetimes', "\x{22CC}", role => 'MULOP', meaning => 'right-semidirect-product');
DefMath('\pitchfork', "\x{22D4}", role => 'RELOP', meaning => 'proper-intersection');
# \bowtie, \Join
DefMath('\VDash', "\x{22AB}", role => 'RELOP');
DefMath('\DashV', "\x{2AE5}", role => 'RELOP');
DefMath('\nVDash', "\x{22AF}", role => 'RELOP');
DefMath('\nDashV', "\x{2AE5}\x{0338}", role => 'RELOP');
DefMath('\Vvdash', "\x{22AA}", role => 'RELOP');
# Note that the above can be mirrored, but that doesn't quite help \dashVv!
#DefMath('\dashVv', "\x{202E}\x{22AA}\x{202E}", role => 'RELOP');
#DefMath('\dashVv', "\x{200F}\x{22AA}\x{200E}", role => 'RELOP');
#DefMath('\dashVv', "\x{2067}\x{22AA}\x{2069}", role => 'RELOP');
DefMath('\nVvash', "\x{22AA}\x{0338}", role => 'RELOP');
# DefMath('\ndashVv',Tokens());
DefMath('\therefore', "\x{2234}", role => 'METARELOP', meaning => 'therefore');
DefMath('\because', "\x{2235}", role => 'METARELOP', meaning => 'because');
DefMath('\ring{}', "\x{030A}", operator_role => 'OVERACCENT');
# \dot
# \ddot,
DefMath('\dddot{}', "\x{02D9}\x{02D9}\x{02D9}", operator_role => 'OVERACCENT');
DefMath('\ddddot{}', "\x{02D9}\x{02D9}\x{02D9}\x{02D9}", operator_role => 'OVERACCENT');
# \angle
DefMath('\measuredangle', "\x{2221}");
DefMath('\sphericalangle', "\x{2222}");
DefMath('\rip', "\x{26FC}"); # Not quite the right glyph
#======================================================================
# Delimiters as symbols (matha)
# (,)
# [,]
# \setminus, /
# |, \mid
#======================================================================
# Delimiters as symbols (mathb)
# DefMath('\lcorners',Tokens());
# DefMath('\rcorners',Tokens());
DefMath('\ulcorner', "\x{231C}");
DefMath('\urcorner', "\x{231D}");
DefMath('\llcorner', "\x{231E}");
DefMath('\lrcorner', "\x{231F}");
#======================================================================
# Astronomical Symbols (mathbb)
DefPrimitive('\Sun', "\x{2609}");
DefPrimitive('\Mercury', "\x{263F}");
DefPrimitive('\Venus', "\x{2640}");
DefPrimitive('\Earth', "\x{2641}"); # wants circled + ???
DefPrimitive('\Mars', "\x{2642}");
DefPrimitive('\Jupiter', "\x{2643}");
DefPrimitive('\Saturn', "\x{2644}");
DefPrimitive('\Uranus', "\x{2645}");
DefPrimitive('\Neptune', "\x{2646}");
DefPrimitive('\Pluto', "\x{2647}");
DefPrimitive('\varEarth', "\x{2641}");
DefPrimitive('\leftmoon', "\x{263E}");
DefPrimitive('\rightmoon', "\x{263D}");
DefPrimitive('\fullmoon', "\x{25CB}"); # actually just white circle
DefPrimitive('\newmoon', "\x{25CF}"); # actually just black circle
DefPrimitive('\Aries', "\x{2648}");
DefPrimitive('\Taurus', "\x{2649}");
DefPrimitive('\Gemini', "\x{264A}");
DefPrimitive('\Cancer', "\x{264B}");
DefPrimitive('\Leo', "\x{264C}");
DefPrimitive('\Virgo', "\x{264D}");
DefPrimitive('\Libra', "\x{264E}");
DefPrimitive('\Scorpio', "\x{264F}");
DefPrimitive('\Sagittarius', "\x{2650}");
DefPrimitive('\Capricorn', "\x{2651}");
DefPrimitive('\Aquarius', "\x{2652}");
DefPrimitive('\Pisces', "\x{2653}");
#======================================================================
# Letter-like symbols (matha)
# \forall,
DefMath('\complement', "\x{2201}", meaning => 'complement');
# \partial
DefMath('\partialslash', "\x{2202}\x{0338}", role => 'OPERATOR');
# \exists,
DefMath('\nexists', "\x{2204}", role => 'FUNCTION', meaning => 'not-exists');
DefMath('\Finv', "\x{2132}");
DefMath('\Game', "\x{2141}");
# \emptyset,
DefMath('\diameter', "\x{2300}");
# \top, \bot
# \perp,
DefMath('\nottop', "\x{22A4}\x{0338}", role => 'ADDOP', meaning => 'not-top');
DefMath('\notbot', "\x{22A5}\x{0338}", role => 'ADDOP', meaning => 'not-bottom');
DefMath('\notperp', "\x{27C2}\x{0338}", role => 'RELOP', meaning => 'not-perpendicular-to');
DefMath('\curlywedge', "\x{22CF}", role => 'ADDOP', meaning => 'and');
DefMath('\curlyvee', "\x{22CE}", role => 'ADDOP', meaning => 'or');
# \in, \owns
# \notin
DefMath('\notowner', "\x{220C}", meaning => 'not-contains', role => 'RELOP');
Let('\notni', '\notowner');
Let('\notowns', '\notowner');
Let('\varnotin', '\notin');
Let('\varnotowner', '\notowner');
DefMath('\barin', "\x{22F6}", role => 'ADDOP', meaning => 'element-of-with-overbar');
DefMath('\ownsbar', "\x{22F8}", role => 'ADDOP', meaning => 'element-of-with-underbar');
# \cap, \cup
# \uplus, \sqcap
# \sqcup, \squplus
# \wedge, \and, \vee, \lor
#======================================================================
# Letter-like symbols (mathb)
DefMath('\barwedge', "\x{22BC}", role => 'ADDOP', meaning => 'not-and');
DefMath('\veebar', "\x{22BB}", role => 'ADDOP', meaning => 'exclusive-or');
DefMath('\doublebarwedge', "\x{2A5E}", role => 'ADDOP');
DefMath('\veedoublebar', "\x{2A63}", role => 'ADDOP');
DefMath('\doublecap', "\x{22D2}", role => 'ADDOP', meaning => 'double-intersection');
DefMath('\doublecup', "\x{22D3}", role => 'ADDOP', meaning => 'double-union');
DefMath('\sqdoublecap', "\x{2A4E}", role => 'ADDOP', meaning => 'double-square-intersection');
DefMath('\sqdoublecup', "\x{2A4F}", role => 'ADDOP', meaning => 'double-square-union');
#======================================================================
# Subset's and superset's signs (matha)
# \subset, \supset
DefMath('\nsubset', "\x{2284}", meaning => 'not-subset-of', role => 'RELOP');
DefMath('\nsupset', "\x{2285}", meaning => 'not-superset-of', role => 'RELOP');
# \subseteq, \supseteq
DefMath('\nsubseteq', "\x{2288}", role => 'RELOP', meaning => 'not-subset-of-nor-equals');
DefMath('\nsupseteq', "\x{2289}", role => 'RELOP', meaning => 'not-superset-of-nor-equals');
DefMath('\subsetneq', "\x{228A}", role => 'RELOP', meaning => 'subset-of-and-not-equals');
DefMath('\supsetneq', "\x{228B}", role => 'RELOP', meaning => 'superset-of-and-not-equals');
DefMath('\varsubsetneq', "\x{228A}", role => 'RELOP', meaning => 'subset-of-and-not-equals');
DefMath('\varsupsetneq', "\x{228B}", role => 'RELOP', meaning => 'subset-of-and-not-equals');
DefMath('\subseteqq', "\x{2AC5}", role => 'RELOP', meaning => 'subset-of-or-equals');
DefMath('\supseteqq', "\x{2AC6}", role => 'RELOP', meaning => 'superset-of-or-equals');
DefMath('\nsubseteqq', "\x{2AC5}\x{0338}", role => 'RELOP', meaning => 'not-subset-of-nor-equals');
DefMath('\nsupseteqq', "\x{2AC6}\x{0338}", role => 'RELOP', meaning => 'not-superset-of-nor-equals');
DefMath('\subsetneqq', "\x{2ACB}", role => 'RELOP', meaning => 'subset-of-and-not-equals');
DefMath('\supsetneqq', "\x{2ACC}", role => 'RELOP', meaning => 'superset-of-and-not-equals');
DefMath('\varsubsetneqq', "\x{2ACB}", role => 'RELOP', meaning => 'subset-of-and-not-equals');
DefMath('\varsupsetneqq', "\x{2ACC}", role => 'RELOP', meaning => 'superset-of-and-not-equals');
DefMath('\Subset', "\x{22D0}", role => 'RELOP', meaning => 'double-subset-of');
DefMath('\Supset', "\x{22D1}", role => 'RELOP', meaning => 'double-superset-of');
DefMath('\nSubset', "\x{22D0}\x{0338}", role => 'RELOP', meaning => 'not-double-subset-of');
DefMath('\nSupset', "\x{22D1}\x{0338}", role => 'RELOP', meaning => 'not-double-superset-of');
#======================================================================
# Square Subset's and superset's signs (mathb)
# \sqsubset, \sqsupset
DefMath('\nsqsubset', "\x{228F}\x{0338}", role => 'RELOP', meaning => 'not-square-image-of');
DefMath('\nsqsupset', "\x{2290}\x{0338}", role => 'RELOP', meaning => 'not-square-original-of');
# \sqsubseteq, \sqsupseteq
DefMath('\nsqsubseteq', "\x{22E2}", role => 'RELOP', meaning => 'not-square-image-of-nor-equals');
DefMath('\nsqsupseteq', "\x{22E3}", role => 'RELOP', meaning => 'not-square-original-of-nor-equals');
DefMath('\sqsubsetneq', "\x{22E4}", role => 'RELOP', meaning => 'square-image-of-or-not-equals');
DefMath('\sqsupsetneq', "\x{22E5}", role => 'RELOP', meaning => 'square-original-of-or-not-equals');
Let('\varsqsubsetneq', '\sqsubsetneq');
Let('\varsqsupsetneq', '\sqsupsetneq');
# Pretty crummy, using underline
DefMath('\sqsubseteqq', "\x{228F}\x{0333}", role => 'RELOP', meaning => 'square-image-of-or-equals');
DefMath('\sqsupseteqq', "\x{2290}\x{0333}", role => 'RELOP', meaning => 'square-original-of-or-equals');
DefMath('\nsqsubseteqq', "\x{228F}\x{0333}\x{0338}", role => 'RELOP', meaning => 'not-square-image-of-nor-equals');
DefMath('\nsqsupseteqq', "\x{2290}\x{0333}\x{0338}", role => 'RELOP', meaning => 'not-square-original-of-nor-equals');
# DefMath('\nsqsubseteqq',Tokens());
# DefMath('\nsqsupseteqq',Tokens());
# DefMath('\sqsubsetneqq',Tokens());
# DefMath('\sqsupsetneqq',Tokens());
# DefMath('\varsqsubsetneqq',Tokens());
# DefMath('\varsqsupsetneqq',Tokens());
# DefMath('\nsqSubset',Tokens());
# DefMath('\nsqSupset',Tokens());
# DefMath('\sqSubset',Tokens());
# DefMath('\sqSupset',Tokens());
#======================================================================
# Triangles as relations (matha)
# \triangleleft,
DefMath('\vartriangleleft', "\x{22B2}"); # NORMAL SUBGROUP OF (\lhd)
# \triangleright
DefMath('\vartriangleright', "\x{22B3}"); # CONTAINS AS NORMAL SUBGROUP (\rhd)
DefMath('\ntriangleleft', "\x{22EA}", role => 'RELOP', meaning => 'not-subgroup-of');
DefMath('\ntriangleright', "\x{22EB}", role => 'RELOP', meaning => 'not-contains');
DefMath('\trianglelefteq', "\x{22B4}"); # NORMAL SUBGROUP OF OR EQUAL TO (\unlhd)
DefMath('\trianglerighteq', "\x{22B5}"); # CONTAINS AS NORMAL SUBGROUP OR EQUAL TO (\unrhd)
DefMath('\ntrianglelefteq', "\x{22EC}", role => 'RELOP', meaning => 'not-subgroup-of-nor-equals');
DefMath('\ntrianglerighteq', "\x{22ED}", role => 'RELOP', meaning => 'not-contains-nor-equals');
#======================================================================
# Triangles as binary operators (mathb)
DefMath('\smalltriangleup', "\x{25B5}", role => 'RELOP');
DefMath('\smalltriangledown', "\x{25BF}", role => 'RELOP');
DefMath('\smalltriangleleft', "\x{25C3}", role => 'RELOP');
DefMath('\smalltriangleright', "\x{25B9}", role => 'RELOP');
DefMath('\blacktriangleup', "\x{25B4}", role => 'RELOP');
DefMath('\blacktriangledown', "\x{25BE}", role => 'RELOP');
DefMath('\blacktriangleleft', "\x{25C2}", role => 'RELOP');
DefMath('\blacktriangleright', "\x{25B8}", role => 'RELOP');
#======================================================================
# Inequalities (matha)
# <, >
DefMath('\nless', "\x{226E}", role => 'RELOP', meaning => 'not-less-than');
DefMath('\ngtr', "\x{226F}", role => 'RELOP', meaning => 'not-greater-than');
# \leq, \geq (\leqslant, \qeqslant)
DefMath('\nleq', "\x{2270}", role => 'RELOP', meaning => 'not-less-than-nor-greater-than');
DefMath('\ngeq', "\x{2271}", role => 'RELOP', meaning => 'not-greater-than-nor-equals');
Let('\varleq', '\leq');
Let('\vargeq', '\geq');
Let('\nvarleq', '\nleq');
Let('\nvargeq', '\ngeq');
DefMath('\lneq', "\x{2A87}", role => 'RELOP', meaning => 'less-than-and-not-equals');
DefMath('\gneq', "\x{2A88}", role => 'RELOP', meaning => 'greater-than-and-not-equals');
DefMath('\leqq', "\x{2266}", role => 'RELOP', meaning => 'less-than-or-equals');
DefMath('\geqq', "\x{2267}", role => 'RELOP', meaning => 'greater-than-or-equals');
DefMath('\nleqq', "\x{2266}\x{0338}", role => 'RELOP', meaning => 'not-less-than-nor-equals');
DefMath('\ngeqq', "\x{2267}\x{0338}", role => 'RELOP', meaning => 'not-greater-than-nor-equals');
DefMath('\lneqq', "\x{2268}", role => 'RELOP', meaning => 'less-than-and-not-equals');
DefMath('\gneqq', "\x{2269}", role => 'RELOP', meaning => 'greater-than-and-not-equals');
DefMath('\lvertneqq', "\x{2268}", role => 'RELOP', meaning => 'less-than-and-not-equals');
DefMath('\gvertneqq', "\x{2269}", role => 'RELOP', meaning => 'greater-than-and-not-equals');
DefMath('\eqslantless', "\x{2A95}", role => 'RELOP', meaning => 'less-than-or-equals');
DefMath('\eqslantgtr', "\x{2A96}", role => 'RELOP', meaning => 'greater-than-or-equals');
DefMath('\neqslantless', "\x{2A95}\x{0338}", role => 'RELOP', meaning => 'not-less-than-nor-equals');
DefMath('\neqslantgtr', "\x{2A96}\x{0338}", role => 'RELOP', meaning => 'not-greater-than-nor-equals');
DefMath('\lessgtr', "\x{2276}", role => 'RELOP', meaning => 'less-than-or-greater-than');
DefMath('\gtrless', "\x{2277}", role => 'RELOP', meaning => 'greater-than-or-less-than');
DefMath('\lesseqgtr', "\x{22DA}", role => 'RELOP', meaning => 'less-than-or-equals-or-greater-than');
DefMath('\gtreqless', "\x{22DB}", role => 'RELOP', meaning => 'greater-than-or-equals-or-less-than');
DefMath('\lesseqqgtr', "\x{2A8B}", role => 'RELOP', meaning => 'less-than-or-equals-or-greater-than');
DefMath('\gtreqqless', "\x{2A8C}", role => 'RELOP', meaning => 'greater-than-or-equals-or-less-than');
DefMath('\lesssim', "\x{2272}", role => 'RELOP', meaning => 'less-than-or-similar-to');
DefMath('\gtrsim', "\x{2273}", role => 'RELOP', meaning => 'greater-than-or-equivalent-to');
DefMath('\nlesssim', "\x{2272}\x{0338}", role => 'RELOP', meaning => 'not-less-than-nor-similar-to');
DefMath('\ngtrsim', "\x{2273}\x{0338}", role => 'RELOP', meaning => 'not-greater-than-nor-equivalent-to');
DefMath('\lnsim', "\x{22E6}", role => 'RELOP', meaning => 'less-than-and-not-equivalent-to');
DefMath('\gnsim', "\x{22E7}", role => 'RELOP', meaning => 'greater-than-and-not-equivalent-to');
DefMath('\lessapprox', "\x{2A85}", role => 'RELOP', meaning => 'less-than-or-approximately-equals');
DefMath('\gtrapprox', "\x{2A86}", role => 'RELOP', meaning => 'greater-than-or-approximately-equals');
DefMath('\nlessapprox', "\x{2A85}\x{0338}", role => 'RELOP', meaning => 'not-less-than-nor-approximately-equals');
DefMath('\ngtrapprox', "\x{2A86}\x{0338}", role => 'RELOP', meaning => 'not-greater-than-nor-approximately-equals');
DefMath('\lnapprox', "\x{2A89}", role => 'RELOP', meaning => 'less-than-and-not-approximately-equals');
DefMath('\gnapprox', "\x{2A8A}", role => 'RELOP', meaning => 'greater-than-and-not-approximately-equals');
DefMath('\lessdot', "\x{22D6}", role => 'RELOP');
DefMath('\gtrdot', "\x{22D7}", role => 'RELOP');
DefMath('\lll', "\x{22D8}", role => 'RELOP', meaning => 'very-much-less-than');
DefMath('\ggg', "\x{22D9}", role => 'RELOP', meaning => 'very-much-greater-than');
DefMath('\precdot', "\x{22D6}", role => 'RELOP'); # glyph is for less with dot!
DefMath('\succdot', "\x{22D7}", role => 'RELOP'); # gtr with dot!
#======================================================================
# Inequalities (mathb)
# Sometimes using \x{0338} to negate (which is slash, but should use vertical?)
# \prec, \succ
DefMath('\nprec', "\x{2280}", role => 'RELOP', meaning => 'not-precedes');
DefMath('\nsucc', "\x{2281}", role => 'RELOP', meaning => 'not-succeeds');
DefMath('\preccurlyeq', "\x{227C}", role => 'RELOP', meaning => 'precedes-or-equals');
DefMath('\succcurlyeq', "\x{227D}", role => 'RELOP', meaning => 'succeeds-or-equals');
DefMath('\npreccurlyeq', "\x{227C}\x{0338}", role => 'RELOP', meaning => 'not-precedes-nor-equals');
DefMath('\nsucccurlyeq', "\x{227D}\x{0338}", role => 'RELOP', meaning => 'not-succeeds-nor-equals');
# \preceq, succeq
DefMath('\npreceq', "\x{22E0}", role => 'RELOP', meaning => 'not-precedes-nor-equals'); # Using slant equals?
DefMath('\nsucceq', "\x{22E1}", role => 'RELOP', meaning => 'not-succeeds-nor-equals');
DefMath('\precneq', "\x{22E8}", role => 'RELOP', meaning => 'precedes-not-equals');
DefMath('\succneq', "\x{22E9}", role => 'RELOP', meaning => 'succeeds-not-equals');
DefMath('\curlyeqprec', "\x{22DE}", role => 'RELOP', meaning => 'equals-or-preceeds');
DefMath('\curlyeqsucc', "\x{22DF}", role => 'RELOP', meaning => 'equals-or-succeeds');
DefMath('\ncurlyeqprec', "\x{22DE}\x{0338}", role => 'RELOP', meaning => 'not-equals-nor-preceeds');
DefMath('\ncurlyeqsucc', "\x{22DF}\x{0338}", role => 'RELOP', meaning => 'not-equals-nor-succeeds');
DefMath('\precsim', "\x{227E}", role => 'RELOP', meaning => 'precedes-or-equivalent-to');
DefMath('\succsim', "\x{227F}", role => 'RELOP', meaning => 'succeeds-or-equivalent-to');
DefMath('\nprecsim', "\x{227E}\x{0338}", role => 'RELOP', meaning => 'not-precedes-nor-equivalent-to');
DefMath('\nsuccsim', "\x{227F}\x{0338}", role => 'RELOP', meaning => 'not-succeeds-nor-equivalent-to');
DefMath('\precnsim', "\x{22E8}", role => 'RELOP', meaning => 'precedes-and-not-equivalent-to');
DefMath('\succnsim', "\x{22E9}", role => 'RELOP', meaning => 'succeeds-and-not-equivalent-to');
DefMath('\precapprox', "\x{2AB7}", role => 'RELOP', meaning => 'precedes-or-approximately-equals');
DefMath('\succapprox', "\x{2AB8}", role => 'RELOP', meaning => 'succeeds-or-approximately-equals');
DefMath('\nprecapprox', "\x{2AB7}\x{0338}", meaning => 'not-precedes-nor-approximately-equals', role => 'RELOP');
DefMath('\nsuccapprox', "\x{2AB8}\x{0338}", role => 'RELOP', meaning => 'not-succeeds-nor-approximately-equals');
DefMath('\precnapprox', "\x{2AB9}", role => 'RELOP', meaning => 'precedes-and-not-approximately-equals');
DefMath('\succnapprox', "\x{2ABA}", role => 'RELOP', meaning => 'succeeds-and-not-approximately-equals');
DefMath('\llcurly', "\x{2ABB}", role => 'RELOP', meaning => 'double-precedes');
DefMath('\ggcurly', "\x{2ABC}", role => 'RELOP', meaning => 'double-succeeds');
#======================================================================
# Arrows and Harppons (matha)
# \leftarrow, \gets \rightarrow, \to
# \nwarrow, \nearrow
# \swarrow, \searrow
# \leftrightarrow
DefMath('\nleftarrow', "\x{219A}", role => 'ARROW');
DefMath('\nrightarrow', "\x{219B}", role => 'ARROW');
DefMath('\nleftrightarrow', "\x{21AE}", role => 'ARROW'); # LEFT RIGHT ARROW WITH STROKE
# \relbar
# \mapstochar
DefMath('\mapsfromchar', '|', role => 'RELOP');
# \leftharpoonup
# \rightharpoonup, \leftharpoondown
# \rightharpoondown,
DefMath('\upharpoonleft', "\x{21BF}", role => 'ARROW');
DefMath('\downharpoonleft', "\x{21C3}", role => 'ARROW');
DefMath('\upharpoonright', "\x{21BE}", role => 'ARROW');
DefMath('\restriction', "\x{21BE}", role => 'ARROW');
DefMath('\downharpoonright', "\x{21C2}", role => 'ARROW');
DefMath('\leftrightharpoons', "\x{21CB}", role => 'ARROW');
# \rightleftharpoons
DefMath('\updownharpoons', "\x{296E}", role => 'ARROW');
DefMath('\downupharpoons', "\x{296F}", role => 'ARROW');
# \Leftarrow, \Rightarrow
# \Leftrightarrow,
DefMath('\nLeftarrow', "\x{21CD}", role => 'ARROW');
DefMath('\nRightarrow', "\x{21CF}", role => 'ARROW');
DefMath('\nLeftrightarrow', "\x{21CE}", role => 'ARROW');
# \Relbar
DefMath('\Mapstochar', '|', role => 'RELOP');
DefMath('\Mapsfromchar', '|', role => 'RELOP');
#======================================================================
# Arrows and Harppons (mathb)
DefMath('\leftleftarrows', "\x{21C7}", role => 'ARROW');
DefMath('\rightrightarrows', "\x{21C9}", role => 'ARROW');
DefMath('\upuparrows', "\x{21C8}", role => 'ARROW');
DefMath('\downdownarrows', "\x{21CA}", role => 'ARROW');
DefMath('\leftrightarrows', "\x{21C6}", role => 'ARROW');
DefMath('\rightleftarrows', "\x{21C4}", role => 'ARROW');
DefMath('\updownarrows', "\x{21C5}", role => 'ARROW');
DefMath('\downuparrows', "\x{21F5}", role => 'ARROW');
DefMath('\leftleftharpoons', "\x{2962}", role => 'ARROW');
DefMath('\rightrightharpoons', "\x{2964}", role => 'ARROW');
DefMath('\upupharpoons', "\x{2963}", role => 'ARROW');
DefMath('\downdownharpoons', "\x{2965}", role => 'ARROW');
DefMath('\leftbarharpoon', "\x{296A}", role => 'ARROW');
DefMath('\rightbarharpoon', "\x{296C}", role => 'ARROW');
DefMath('\barleftharpoon', "\x{296B}", role => 'ARROW');
DefMath('\barrightharpoon', "\x{296D}", role => 'ARROW');
DefMath('\leftrightharpoon', "\x{294A}", role => 'ARROW');
DefMath('\rightleftharpoon', "\x{294B}", role => 'ARROW');
# \rhook, \lhook
DefMath('\diagup', "\x{2571}");
DefMath('\diagdown', "\x{2572}");
DefMath('\Lsh', "\x{21B0}", role => 'ARROW');
DefMath('\Rsh', "\x{21B1}", role => 'ARROW');
DefMath('\dlsh', "\x{21B2}", role => 'ARROW');
DefMath('\drsh', "\x{21B3}", role => 'ARROW');
DefMath('\looparrowleft', "\x{21AB}", role => 'ARROW');
DefMath('\looparrowright', "\x{21AC}", role => 'ARROW');
# DefMath('\looparrowdownleft',Tokens());
# DefMath('\looparrowdownright',Tokens());
DefMath('\curvearrowleft', "\x{21B6}", role => 'ARROW');
DefMath('\curvearrowright', "\x{21B7}", role => 'ARROW');
# DefMath('\curvearrowleftright',Tokens()); \curvearrowtopleftright
# DefMath('\curvearrowbotleft',Tokens());
DefMath('\curvearrowbotright', "\x{293B}", role => 'ARROW');
# DefMath('\curvearrowbotleftright',Tokens());
DefMath('\circlearrowleft', "\x{21BA}", role => 'ARROW');
DefMath('\circlearrowright', "\x{21BB}", role => 'ARROW');
DefMath('\leftsquigarrow', "\x{21DC}", role => 'RELOP');
DefMath('\rightsquigarrow', "\x{219D}", role => 'ARROW');
DefMath('\leftrightsquigarrow', "\x{21AD}", role => 'ARROW');
DefMath('\lefttorightarrow', "\x{2B8E}", role => 'ARROW');
DefMath('\righttoleftarrow', "\x{2B8C}", role => 'ARROW');
DefMath('\uptodownarrow', "\x{2B8F}", role => 'ARROW');
DefMath('\downtouparrow', "\x{2B8D}", role => 'ARROW');
#======================================================================
# Circles (matha)
# Using combining circle \x{20DD} for missing cases, but positioning is bad
# \oplus, \ominus (\circleddash)
# \otimes
DefMath('\odiv', UTF(0xF7) . "\x{20DD}", role => 'ADDOP');
# \odot
DefMath('\ocirc', "\x{229A}");
DefMath('\oasterisk', "\x{229B}", role => 'MULOP');
# DefMath('\ocoasterisk',Tokens());
DefMath('\oleft', "\x{22A3}\x{20DD}", role => 'ADDOP');
DefMath('\oright', "\x{22A2}\x{20DD}", role => 'ADDOP');
DefMath('\otop', "\x{22A4}\x{20DD}", role => 'ADDOP');
DefMath('\obot', "\x{29BA}");
DefMath('\ovoid', "\x{25CB}");
# \oslash
DefMath('\obackslash', "\x{29B8}");
DefMath('\otriangleup', "\x{25B3}\x{20DD}", role => 'ADDOP');
#======================================================================
# Boxes (mathb)
# Using combining square \x{20DE} for missing cases, but positioning is bad
DefMath('\boxplus', "\x{229E}", role => 'ADDOP');
DefMath('\boxminus', "\x{229F}", role => 'ADDOP');
DefMath('\boxtimes', "\x{22A0}", role => 'MULOP');
DefMath('\boxdiv', UTF(0xF7) . "\x{20DE}", role => 'ADDOP');
DefMath('\boxdot', "\x{22A1}", role => 'MULOP');
DefMath('\boxcirc', "\x{2218}\x{20DE}", role => 'ADDOP');
DefMath('\boxasterisk', "\x{29C6}");
# DefMath('\boxcoasterisk',Tokens());
DefMath('\boxleft', "\x{22A3}\x{20DE}", role => 'ADDOP');
DefMath('\boxright', "\x{22A2}\x{20DE}", role => 'ADDOP');
DefMath('\boxtop', "\x{22A4}\x{20DE}", role => 'ADDOP');
DefMath('\boxbot', "\x{22A5}\x{20DE}", role => 'ADDOP');
DefMath('\boxvoid', "\x{25A1}");
# \Box
DefMath('\boxslash', "\x{29C5}");
DefMath('\boxbackslash', "\x{29C4}");
DefMath('\boxtriangleup', "\x{25B3}\x{20DE}", role => 'ADDOP');
#======================================================================
# Mayan numerals
#======================================================================
# Large operators (mathx)
# \sum, \prod
# \coprod, \intop
DefMath('\iintop', "\x{222C}", meaning => 'double-integral', role => 'INTOP',
mathstyle => \&doVariablesizeOp);
DefMath('\iiintop', "\x{222D}", meaning => 'triple-integral', role => 'INTOP',
mathstyle => \&doVariablesizeOp);
# \ointop, \oint
DefMath('\oiintop', "\x{222F}", meaning => 'double-contour-integral', role => 'INTOP',
scriptpos => 'mid', mathstyle => \&doVariablesizeOp);
DefMath('\bigplus', "+", font => { size => 'large' },
meaning => 'nary-plus', role => 'BIGOP',
scriptpos => 'mid', mathstyle => \&doVariablesizeOp);
DefMath('\bigtimes', "\x{2A09}",
meaning => 'nary-times', role => 'BIGOP',
scriptpos => 'mid', mathstyle => \&doVariablesizeOp);
DefMath('\bigcomplementop', "\x{2201}",
meaning => 'nary-complement', role => 'BIGOP',
scriptpos => 'mid', mathstyle => \&doVariablesizeOp);
# \bigcap
# \bigcup, \buguplus
DefMathI('\bigsqcap', undef, "\x{2A05}",
role => 'SUMOP',
scriptpos => \&doScriptpos,
mathstyle => \&doVariablesizeOp);
# \bigsqcup
# DefMath('\bigsquplus',Tokens());
# \bigwedge
# \bigvee
DefMathI('\bigcurlywedge', undef, "\x{22CF}", font => { size => 'Big' },
role => 'SUMOP',
scriptpos => \&doScriptpos,
mathstyle => \&doVariablesizeOp);
DefMathI('\bigcurlyvee', undef, "\x{22CE}", font => { size => 'Big' },
role => 'SUMOP',
scriptpos => \&doScriptpos,
mathstyle => \&doVariablesizeOp);
#======================================================================
# Big circles (mathx)
# \bigoplus
# \bigotimes
DefMath('\bigominus', "\x{2296}", role => 'ADDOP',
font => { size => 'large' });
DefMath('\bigodiv', UTF(0xF7) . "\x{20DD}", role => 'ADDOP',
font => { size => 'large' });
# \bigodot
DefMath('\bigocirc', "\x{229A}",
font => { size => 'large' });
DefMath('\bigoasterisk', "\x{229B}", role => 'MULOP',
font => { size => 'large' });
# DefMath('\ocoasterisk',Tokens());
DefMath('\bigoleft', "\x{22A3}\x{20DD}", role => 'ADDOP',
font => { size => 'large' });
DefMath('\bigoright', "\x{22A2}\x{20DD}", role => 'ADDOP',
font => { size => 'large' });
DefMath('\bigotop', "\x{22A4}\x{20DD}", role => 'ADDOP',
font => { size => 'large' });
DefMath('\bigobot', "\x{29BA}",
font => { size => 'large' });
DefMath('\bigovoid', "\x{25CB}",
font => { size => 'large' });
DefMath('\bigoslash', "\x{2298}", role => 'MULOP',
font => { size => 'large' });
DefMath('\bigobackslash', "\x{29B8}",
font => { size => 'large' });
DefMath('\bigotriangleup', "\x{25B3}\x{20DD}", role => 'ADDOP',
font => { size => 'large' });
#======================================================================
# Big boxes (mathx)
# DefMath('\bigboxplus',Tokens());
# DefMath('\bigboxminus',Tokens());
# DefMath('\bigboxtimes',Tokens());
# DefMath('\bigboxdiv',Tokens());
# DefMath('\bigboxdot',Tokens());
# DefMath('\bigboxcirc',Tokens());
# DefMath('\bigboxasterisk',Tokens());
# DefMath('\bigboxcoasterisk',Tokens());
# DefMath('\bigboxleft',Tokens());
# DefMath('\bigboxright',Tokens());
# DefMath('\bigboxtop',Tokens());
# DefMath('\bigboxbot',Tokens());
# DefMath('\bigboxvoid',Tokens());
# DefMath('\bigboxslash',Tokens());
# DefMath('\bigboxbackslash',Tokens());
# DefMath('\bigboxtriangleup',Tokens());
DefMath('\bigboxplus', "\x{229E}", role => 'ADDOP',
font => { size => 'large' });
DefMath('\bigboxminus', "\x{229F}", role => 'ADDOP',
font => { size => 'large' });
DefMath('\bigboxtimes', "\x{22A0}", role => 'MULOP',
font => { size => 'large' });
DefMath('\bigboxdiv', UTF(0xF7) . "\x{20DE}", role => 'ADDOP',
font => { size => 'large' });
DefMath('\bigboxdot', "\x{22A1}", role => 'MULOP',
font => { size => 'large' });
DefMath('\bigboxcirc', "\x{2218}\x{20DE}", role => 'ADDOP',
font => { size => 'large' });
DefMath('\bigboxasterisk', "\x{29C6}",
font => { size => 'large' });
# DefMath('\boxcoasterisk',Tokens());
DefMath('\bigboxleft', "\x{22A3}\x{20DE}", role => 'ADDOP',
font => { size => 'large' });
DefMath('\bigboxright', "\x{22A2}\x{20DE}", role => 'ADDOP',
font => { size => 'large' });
DefMath('\bigboxtop', "\x{22A4}\x{20DE}", role => 'ADDOP',
font => { size => 'large' });
DefMath('\bigboxbot', "\x{22A5}\x{20DE}", role => 'ADDOP',
font => { size => 'large' });
DefMath('\bigboxvoid', "\x{25A1}",
font => { size => 'large' });
# \Box
DefMath('\bigboxslash', "\x{29C5}",
font => { size => 'large' });
DefMath('\bigboxbackslash', "\x{29C4}",
font => { size => 'large' });
DefMath('\bigboxtriangleup', "\x{25B3}\x{20DE}", role => 'ADDOP',
font => { size => 'large' });
#======================================================================
# Delimiters (matha/mathx)
# (,)
# [,]
# \lbrace, \{, \rbrace,\}
DefMath('\ldbrack', "\x{27e6}", role => 'OPEN', stretchy => 'false');
DefMath('\rdbrack', "\x{27e7}", role => 'CLOSE', stretchy => 'false');
# \langle, \rangle
# \backslash, /
# \vert, |
# \Vert
DefMath('\vvvert', "\x{2980}", role => 'MID', stretchy => 'false');
# \uparrow, \downarrow
# \updownarrow, \Uparrow
# \Downarrow, \Updownarrow
#======================================================================
# Delimiters (mathb/mathx)
# \lgroup, \rgroup
# \lceil, \rceil
# \lfloor, \rfloor
DefMath('\thickvert', "\x{2759}", role => 'MID', stretchy => 'false');
#======================================================================
# Delimiters (mathx/mathx)
# DefMath('\lfilet',Tokens());
# DefMath('\rfilet',Tokens());
#======================================================================
# Pieces for over-under-braces and such (mathx)
# ?? \braceld, \bracemd
# ?? \bracerd,
# DefMath('\bracexd',Tokens());
# ?? \bracelu
# DefMath('\bracemu',Tokens());
# ?? \braceru
# DefMath('\bracexu',Tokens());
# DefMath('\braceexwd',Tokens());
# DefMath('\bracefill',Tokens());
# DefMath('\bracemd',Tokens());
# DefMath('\bracevkern',Tokens());
#======================================================================
# Extensible accents (mathx)
# The way these are defined recognizes Digested style parameter type
# \widehat
DefMath('\widecheck Digested', "\x{02C7}", operator_role => 'OVERACCENT');
# \widetilde
DefMath('\widebar Digested', UTF(0xAF), operator_role => 'OVERACCENT');
DefMath('\widearrow Digested', "\x{2192}", operator_role => 'OVERACCENT');
DefMath('\wideparen Digested', "\x{23DC}", operator_role => 'OVERACCENT');
DefMath('\ring Digested', "\x{030A}", operator_role => 'OVERACCENT');
# The remaining macros in this group only accept traditional style {} argument
# \overbrace, \underbrace
DefMath('\overgroup {}', "\x{23DC}", operator_role => 'OVERACCENT');
DefMath('\undergroup {}', "\x{23DD}", operator_role => 'UNDERACCENT');
# \overrightarrow, \overleftarrow
DefMath('\overleftrightarrow{}', "\x{2194}", operator_role => 'OVERACCENT');
DefMath('\underrightarrow{}', "\x{2192}", operator_role => 'UNDERACCENT');
DefMath('\underleftarrow{}', "\x{2190}", operator_role => 'UNDERACCENT');
DefMath('\underleftrightarrow{}', "\x{2194}", operator_role => 'UNDERACCENT');
DefMath('\overRightarrow{}', "\x{21D2}", operator_role => 'OVERACCENT');
DefMath('\overLeftarrow{}', "\x{21D0}", operator_role => 'OVERACCENT');
DefMath('\overLeftRightarrow{}', "\x{21D4}", operator_role => 'OVERACCENT');
DefMath('\underRightarrow{}', "\x{21D2}", operator_role => 'UNDERACCENT');
DefMath('\underLeftarrow{}', "\x{21D0}", operator_role => 'UNDERACCENT');
DefMath('\underLeftRightarrow{}', "\x{21D4}", operator_role => 'UNDERACCENT');
DefMacro('\widering{}', '\ring{\wideparen{#1}}');
DefMacro('\widedot{}', '\dot{\wideparen{#1}}');
DefMacro('\wideddot{}', '\ddot{\wideparen{#1}}');
DefMacro('\widedddot{}', '\dddot{\wideparen{#1}}');
DefMacro('\wideddddot{}', '\ddddot{\wideparen{#1}}');
#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
# Special constructions
# DefMath('\bigcomplement',Tokens());
# \surd
#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
#======================================================================
#======================================================================
# /--------------------------------------------------------------------\
# | INCOMPLETE IMPLEMENTATION |
# | remove this comment, when done. |
# | Drafted by texscan --stub mathabx.sty |
# \--------------------------------------------------------------------/
# DefMath('\varnot',Tokens());
# DefMath('\changenotsign',Tokens());
# DefMath('\ayin',Tokens());
# DefMath('\beth',Tokens());
# DefMath('\dalet',Tokens());
# DefMath('\finalkaf',Tokens());
# DefMath('\finalmem',Tokens());
# DefMath('\finalnun',Tokens());
# DefMath('\finalpe',Tokens());
# DefMath('\finaltzadik',Tokens());
# DefMath('\gimmel',Tokens());
# DefMath('\he',Tokens());
# DefMath('\het',Tokens());
# DefMath('\kaf',Tokens());
# DefMath('\lamed',Tokens());
# DefMath('\mem',Tokens());
# DefMath('\nun',Tokens());
# DefMath('\pe',Tokens());
# DefMath('\qof',Tokens());
# DefMath('\resh',Tokens());
# DefMath('\samekh',Tokens());
# DefMath('\shin',Tokens());
# DefMath('\tav',Tokens());
# DefMath('\tet',Tokens());
# DefMath('\truc',Tokens());
# DefMath('\tzadik',Tokens());
# DefMath('\vav',Tokens());
# DefMath('\yod',Tokens());
# DefMath('\zayin',Tokens());
# DefMath('\boldZ',Tokens());
# DefMath('\bigboldZ',Tokens());
# DefMath('\boldcap',Tokens());
# DefMath('\boldcomplement',Tokens());
# DefMath('\boldcup',Tokens());
# DefMath('\complement',Tokens());
# DefMath('\curt',Tokens());
# DefMath('\smallcoprod',Tokens());
# DefMath('\smallprod',Tokens());
# DefMath('\smallsum',Tokens());
# DefMath('\squplus',Tokens());
# DefMath('\varhash',Tokens());
# DefMath('\maya',Tokens());
# DefMath('\mayacnta',Tokens());
# DefMath('\mayacntb',Tokens());
# DefMath('\mayacntc',Tokens());
# DefMath('\mayacnter',Tokens());
# DefMath('\mayadelimiters',Tokens());
# DefMath('\mayadigit',Tokens());
# DefMath('\mayaexpansion',Tokens());
# DefMath('\mayarecurse',Tokens());
# DefMath('\mayawidth',Tokens());
#======================================================================
1;