# -*- mode: Perl -*-
# /=====================================================================\ #
# |  proofwiki                                                          | #
# | LaTeXML Bindings for simulating proofwiki.org's macros              | #
# |=====================================================================| #
# | 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;

# Adapated from the MathJax-enabling preamble of proofwiki.org
# so load texvc.sty.ltxml as a MathJax-approximating prerequisite
RequirePackage('texvc');

# ProofWiki preference for this symbol
DefMacro('\empty',     '\varnothing');
DefMacro('\P',         '\unicode{xb6}');
DefMacro('\Alpha',     '\unicode{x391}');
DefMacro('\Beta',      '\unicode{x392}');
DefMacro('\Epsilon',   '\unicode{x395}');
DefMacro('\Zeta',      '\unicode{x396}');
DefMacro('\Eta',       '\unicode{x397}');
DefMacro('\Iota',      '\unicode{x399}');
DefMacro('\Kappa',     '\unicode{x39a}');
DefMacro('\Mu',        '\unicode{x39c}');
DefMacro('\Nu',        '\unicode{x39d}');
DefMacro('\Pi',        '\unicode{x3a0}');
DefMacro('\Rho',       '\unicode{x3a1}');
DefMacro('\Sigma',     '\unicode{x3a3}');
DefMacro('\Tau',       '\unicode{x3a4}');
DefMacro('\Chi',       '\unicode{x3a7}');
DefMacro('\bsalpha',   '\boldsymbol \alpha');
DefMacro('\bsbeta',    '\boldsymbol \beta');
DefMacro('\bsgamma',   '\boldsymbol \gamma');
DefMacro('\bsdelta',   '\boldsymbol \delta');
DefMacro('\bsepsilon', '\boldsymbol \epsilon');
DefMacro('\bszeta',    '\boldsymbol \zeta');
DefMacro('\bseta',     '\boldsymbol \eta');
DefMacro('\bstheta',   '\boldsymbol \theta');
DefMacro('\bsiota',    '\boldsymbol \iota');
DefMacro('\bskappa',   '\boldsymbol \kappa');
DefMacro('\bslambda',  '\boldsymbol \lambda');
DefMacro('\bsmu',      '\boldsymbol \mu');
DefMacro('\bsnu',      '\boldsymbol \nu');
DefMacro('\bsxi',      '\boldsymbol \xi');
DefMacro('\bsomicron', '\boldsymbol \omicron');
DefMacro('\bspi',      '\boldsymbol \pi');
DefMacro('\bsrho',     '\boldsymbol \rho');
DefMacro('\bssigma',   '\boldsymbol \sigma');
DefMacro('\bstau',     '\boldsymbol \tau');
DefMacro('\bsupsilon', '\boldsymbol \upsilon');
DefMacro('\bsphi',     '\boldsymbol \phi');
DefMacro('\bschi',     '\boldsymbol \chi');
DefMacro('\bspsi',     '\boldsymbol \psi');
DefMacro('\bsomega',   '\boldsymbol \omega');
# the pound symbol unaccountably missing from mathjax
DefMacro('\pounds', '{\it\unicode{xA3}}');
# the complex numbers
DefMacro('\C', '\mathbb C');
# the natural numbers
DefMacro('\N', '\mathbb N');
# the rational numbers
DefMacro('\Q', '\mathbb Q');
# the real numbers
DefMacro('\R', '\mathbb R');
# the integer numbers
DefMacro('\Z', '\mathbb Z');
# the empty set
DefMacro('\O', '\varnothing');

# some extra macros for ease of use; these are non-standard!

# true
DefMacro('\T', '\mathrm T');
# false
DefMacro('\F', '\mathrm F');
# Galois field
DefMacro('\GF', '\mathbb F');
# ring of Hamiltonians
DefMacro('\H', '\mathbb H');
# vector of zeros
DefMacro('\bszero', '\boldsymbol 0');
# vector of ones
DefMacro('\bsone', '\boldsymbol 1');
# a vector 't'
DefMacro('\bst', '\boldsymbol t');
# a vector 'v'
DefMacro('\bsv', '\boldsymbol v');
# a vector 'w'
DefMacro('\bsw', '\boldsymbol w');
# a vector 'x'
DefMacro('\bsx', '\boldsymbol x');
# a vector 'y'
DefMacro('\bsy', '\boldsymbol y');
# a vector 'z'
DefMacro('\bsz', '\boldsymbol z');
# a vector '\Delta'
DefMacro('\bsDelta', '\boldsymbol \Delta');
# the exponential
DefMacro('\E', '\mathrm e');
# roman d for use in integrals: $\int f(x) \rd x$
DefMacro('\rd', '\,\mathrm d');
# roman d for use in derivatives: $\dfrac \d{\d x}$
DefMacro('\d', '\mathrm d');
# delta operator for use in sums
DefMacro('\rdelta', '\,\delta');
# differential operator D
DefMacro('\rD', '\mathrm D');

# example from MathJax on how to define macros with parameters:
DefMacro('\bold{}', '{\bf #1}');

DefMacro('\AA', '\mathcal A');
DefMacro('\BB', '\mathcal B');
DefMacro('\CC', '\mathcal C');
DefMacro('\DD', '\mathcal D');
DefMacro('\EE', '\mathcal E');
DefMacro('\FF', '\mathcal F');
DefMacro('\GG', '\mathcal G');
DefMacro('\HH', '\mathcal H');
DefMacro('\II', '\mathcal I');
DefMacro('\JJ', '\mathcal J');
DefMacro('\KK', '\mathcal K');
DefMacro('\LL', '\mathcal L');
DefMacro('\MM', '\mathcal M');
DefMacro('\NN', '\mathcal N');
DefMacro('\OO', '\mathcal O');
DefMacro('\PP', '\mathcal P');
DefMacro('\QQ', '\mathcal Q');
DefMacro('\RR', '\mathcal R');
DefMacro('\SS', '\mathcal S');
DefMacro('\TT', '\mathcal T');
DefMacro('\UU', '\mathcal U');
DefMacro('\VV', '\mathcal V');
DefMacro('\WW', '\mathcal W');
DefMacro('\XX', '\mathcal X');
DefMacro('\YY', '\mathcal Y');
DefMacro('\ZZ', '\mathcal Z');

DefMacro('\lcm', '\operatorname{lcm}');

# Otherwise undefined trigometrical and hyperbolic functions

DefMacro('\cosec',  '\operatorname{cosec}');
DefMacro('\sech',   '\operatorname{sech}');
DefMacro('\csch',   '\operatorname{csch}');
DefMacro('\arccot', '\operatorname{arccot}');
DefMacro('\arccsc', '\operatorname{arccsc}');
DefMacro('\arcsec', '\operatorname{arcsec}');
DefMacro('\hav',    '\operatorname{hav}');
DefMacro('\vers',   '\operatorname{vers}');
DefMacro('\cis',    '\operatorname{cis}');
DefMacro('\Ci',     '\operatorname{Ci}');
DefMacro('\Si',     '\operatorname{Si}');
DefMacro('\Li',     '\operatorname{Li}');
DefMacro('\Ei',     '\operatorname{Ei}');
DefMacro('\Sinh',   '\operatorname{Sinh}');
DefMacro('\Cosh',   '\operatorname{Cosh}');
DefMacro('\Sech',   '\operatorname{Sech}');
DefMacro('\Csch',   '\operatorname{Csch}');
DefMacro('\Tanh',   '\operatorname{Tanh}');
DefMacro('\Coth',   '\operatorname{Coth}');
DefMacro('\arsinh', '\operatorname{arsinh}');
DefMacro('\arcosh', '\operatorname{arcosh}');
DefMacro('\artanh', '\operatorname{artanh}');
DefMacro('\arcoth', '\operatorname{arcoth}');
DefMacro('\arsech', '\operatorname{arsech}');
DefMacro('\arcsch', '\operatorname{arcsch}');
DefMacro('\Arsinh', '\operatorname{Arsinh}');
DefMacro('\Arcosh', '\operatorname{Arcosh}');
DefMacro('\Artanh', '\operatorname{Artanh}');
DefMacro('\Arcoth', '\operatorname{Arcoth}');
DefMacro('\Arsech', '\operatorname{Arsech}');
DefMacro('\Arcsch', '\operatorname{Arcsch}');
DefMacro('\erf',    '\operatorname{erf}');
DefMacro('\erfc',   '\operatorname{erfc}');

# Bracketing constructs

DefMacro('\paren{}',      '\left( #1 \right)');
DefMacro('\leftparen{}',  '\left( #1 \right.');
DefMacro('\rightparen{}', '\left. #1 \right)');
DefMacro('\sqbrk{}',      '\left[ #1 \right]');

DefMacro('\set{}',      '\left\lbrace #1 \right\rbrace');
DefMacro('\leftset{}',  '\left\lbrace #1 \right.');
DefMacro('\rightset{}', '\left. #1 \right\rbrace');
DefMacro('\cmod{}',     '\left\lvert #1 \right\rvert');
DefMacro('\polar{}',    '\left\langle #1 \right\rangle');
DefMacro('\norm{}',     '\left\lVert #1 \right\rVert');
DefMacro('\floor{}',    '\left\lfloor #1 \right\rfloor');
DefMacro('\ceiling{}',  '\left\lceil #1 \right\rceil');
DefMacro('\nint{}',     '\left\lfloor #1 \right\rceil');

DefMacro('\closedint{}{}', '\left[ #1 \,.\,.\, #2 \right]');
DefMacro('\openint{}{}',   '\left( #1 \,.\,.\, #2 \right)');
DefMacro('\hointl{}{}',    '\left( #1 \,.\,.\, #2 \right]');
DefMacro('\hointr{}{}',    '\left[ #1 \,.\,.\, #2 \right)');
DefMacro('\horectl{}{}',   '\left(\left( #1 \,.\,.\, #2 \right]\right]');
DefMacro('\horectr{}{}',   '\left[\left[ #1 \,.\,.\, #2 \right)\right)');
DefMacro('\multiset{}',    '\left\lbrace\!\left\lbrace #1 \right\rbrace\!\right\rbrace');

DefMacro('\tuple{}',       '\left( #1 \right)');
DefMacro('\struct{}',      '\left( #1 \right)');
DefMacro('\ideal{}',       '\left( #1 \right)');
DefMacro('\sequence{}',    '\left\langle #1 \right\rangle');
DefMacro('\family{}',      '\left\langle #1 \right\rangle');
DefMacro('\innerprod{}{}', '\left\langle #1, #2 \right\rangle');
DefMacro('\gen{}',         '{\left\langle #1 \right\rangle}');
DefMacro('\eqclass{}{}',   '\left[\!\left[ #1 \right]\!\right]_{#2}');
DefMacro('\index{}{}',     '\left[ #1 : #2 \right]');
DefMacro('\order{}',       '\left\lvert #1 \right\rvert');
DefMacro('\size{}',        '\left\lvert #1 \right\rvert');
DefMacro('\bigsize{}',     '\bigl\lvert #1 \bigr\rvert');
DefMacro('\card{}',        '\left\lvert #1 \right\rvert');
DefMacro('\fractpart{}',   '\left\lbrace #1 \right\rbrace');
DefMacro('\map{}{}',       '#1 \left( #2 \right)');
DefMacro('\braket{}{}',    '{\left\langle #1 \, \middle \vert \, #2 \right\rangle{}}');

DefMacro('\Syl{}{}',            '\mathrm{Syl}_{#1} \left( #2 \right)');
DefMacro('\relcomp{}{}',        '\complement_{#1} \left( #2 \right)');
DefMacro('\laptrans{}',         '\LL \left\lbrace #1 \right\rbrace');
DefMacro('\invlaptrans{}',      '\LL^{-1} \left\lbrace #1 \right\rbrace');
DefMacro('\powerset{}',         '\PP \left( #1 \right)');
DefMacro('\intlimits{}{}{}',    '\left[ #1 \right]_{#2}^{#3}');
DefMacro('\bigintlimits{}{}{}', '\Bigl[ #1 \Bigr]_{#2}^{#3}');
DefMacro('\valueat{}{}',        '\left. #1 \right\rvert_{#2}');
DefMacro('\bigvalueat{}{}',     '\Bigl. #1 \Bigr\rvert_{#2}');

# Mathematical Logic

DefMacro('\Add',  '\operatorname{Add}');
DefMacro('\Mult', '\operatorname{Mult}');
DefMacro('\Succ', '\operatorname{Succ}');
DefMacro('\Zero', '\operatorname{Zero}');

# Miscellaneous

DefMacro('\hcf',                   '\operatorname{hcf}');
DefMacro('\inj',                   '\operatorname{inj}');
DefMacro('\rem',                   '\operatorname{rem}');
DefMacro('\pr',                    '\operatorname{pr}');
DefMacro('\proj',                  '\operatorname{proj}');
DefMacro('\tr',                    '\operatorname{tr}');
DefMacro('\len',                   '\operatorname{len}');
DefMacro('\sgn',                   '\operatorname{sgn}');
DefMacro('\grad',                  '\operatorname{grad}');
DefMacro('\curl',                  '\operatorname{curl}');
DefMacro('\dr{}',                  '\mathrm{dr} \left( #1 \right)');
DefMacro('\cl',                    '\mathrm{cl}');
DefMacro('\var{}',                 '\mathsf{var} \left( #1 \right)');
DefMacro('\cov{}',                 '\mathsf{cov} \left( #1 \right)');
DefMacro('\expect{}',              '\mathsf E \left( #1 \right)');
DefMacro('\conjclass{}',           '\mathrm C_{#1}');
DefMacro('\Log',                   '\operatorname{Log}');
DefMacro('\Ln',                    '\operatorname{Ln}');
DefMacro('\On',                    '\operatorname{On}');
DefMacro('\Area',                  '\operatorname{Area}');
DefMacro('\Card',                  '\operatorname{Card}');
DefMacro('\Frob',                  '\operatorname{Frob}');
DefMacro('\Bernoulli{}',           '\mathrm{Bern} \left( #1 \right)');
DefMacro('\BetaDist{}{}',          '\mathrm{Beta} \left( #1, #2 \right)');
DefMacro('\Binomial{}{}',          '\mathrm B \left( #1, #2 \right)');
DefMacro('\Cauchy{}{}',            '\mathrm{Cauchy} \left( #1, #2 \right)');
DefMacro('\NegativeBinomial{}{}',  '\mathrm{NB} \left( #1, #2 \right)');
DefMacro('\Exponential{}',         '\mathrm{Exp} \left( #1 \right)');
DefMacro('\Gaussian{}{}',          'N \left( #1, #2 \right)');
DefMacro('\Geometric{}',           '\mathrm G_0 \left( #1 \right)');
DefMacro('\ShiftedGeometric{}',    '\mathrm G_1 \left( #1 \right)');
DefMacro('\Poisson{}',             '\mathrm{Poisson} \left( #1 \right)');
DefMacro('\StudentT{}',            't_{#1}');
DefMacro('\ContinuousUniform{}{}', '\mathrm U \left[ #1 \,.\,.\, #2 \right]');
DefMacro('\DiscreteUniform{}',     '\mathrm U \left( #1 \right)');
DefMacro('\condprob{}{}',          '\Pr \left( #1 \, \middle \vert \, #2 \right)');
DefMacro('\Arg{}',                 '\mathrm{Arg} \left( #1 \right)');
DefMacro('\domain{}',              '\mathrm{Dom} \left( #1 \right)');
DefMacro('\cont{}',                '\mathrm{cont} \left( #1 \right)');
DefMacro('\Dom{}',                 '\mathrm{Dom} \left( #1 \right)');
DefMacro('\Cdm{}',                 '\mathrm{Cdm} \left( #1 \right)');
DefMacro('\Rng{}',                 '\mathrm{Rng} \left( #1 \right)');
DefMacro('\adj{}',                 '\mathrm{adj} \left( #1 \right)');
DefMacro('\Img{}',                 '\mathrm{Img} \left( #1 \right)');
DefMacro('\Preimg{}',              '\mathrm{Img}^{-1} \left( #1 \right)');
DefMacro('\image{}',               '\Img #1 ');
DefMacro('\Orb{}',                 '\mathrm{Orb} \left( #1 \right)');
DefMacro('\Stab{}',                '\mathrm{Stab} \left( #1 \right)');
DefMacro('\Dic{}',                 '\operatorname{Dic}_{#1}');
DefMacro('\GL{}',                  '\mathrm{GL} \left( #1 \right)');
DefMacro('\SL{}',                  '\mathrm{SL} \left (#1 \right)');
DefMacro('\SU{}',                  '\operatorname{SU_{#1} }');
DefMacro('\Aut{}',                 '\mathrm{Aut} \left( #1 \right)');
DefMacro('\Out{}',                 '\mathrm{Out} \left( #1 \right)');
DefMacro('\Gal{}',                 '\mathrm{Gal} \left( #1 \right)');
DefMacro('\Inn{}',                 '\mathrm{Inn} \left( #1 \right)');
DefMacro('\Fix{}',                 '\mathrm{Fix} \left( #1 \right)');
DefMacro('\Char{}',                '\mathrm{Char} \left( #1 \right)');
DefMacro('\Spec{}',                '\mathrm{Spec} \left( #1 \right)');
DefMacro('\Nil{}',                 '\mathrm{Nil} \left( #1 \right)');
DefMacro('\Ord{}',                 '\map{\mathrm{Ord} } #1');
DefMacro('\Res{}{}',               '\mathrm{Res} \left( #1, #2 \right)');
DefMacro('\Int{}',                 '\mathrm{Int} \left( #1 \right)');
DefMacro('\Ext{}',                 '\mathrm{Ext} \left( #1 \right)');
DefMacro('\Ber',                   '\mathrm{Ber}');
DefMacro('\Bei',                   '\mathrm{Bei}');
DefMacro('\Rad',                   '\mathrm{Rad}');
DefMacro('\diam',                  '\mathrm{diam}');
DefMacro('\stratgame{}{}{}',       '\left\langle #1, \sequence #2, \sequence #3 \right\rangle');
DefMacro('\divides',               '\mathrel \backslash');
DefMacro('\PV',                    '\mathrm{PV} \displaystyle \int');
DefMacro('\leadstoandfrom',        '\mathrel \leftrightsquigarrow');
DefMacro('\degrees',               '^\circ');
DefMacro('\radians',               '\, \mathrm{rad}');
DefMacro('\cels',                  '\, \degrees \mathrm C');
DefMacro('\fahr',                  '\, \degrees \mathrm F');
DefMacro('\Re',                    '\mathfrak{Re}');
DefMacro('\Im',                    '\mathfrak{Im}');
DefMacro('\ds',                    '\displaystyle');

1;