pandoc/Text/Pandoc/Readers/TeXMath.hs

{-
Copyright (C) 2007 John MacFarlane <jgm@berkeley.edu>

This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.

This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
-}

{- |
   Module      : Text.Pandoc.Readers.TeXMath
   Copyright   : Copyright (C) 2007 John MacFarlane
   License     : GNU GPL, version 2 or above 

   Maintainer  : John MacFarlane <jgm@berkeley.edu>
   Stability   : alpha
   Portability : portable

Conversion of TeX math to a list of 'Pandoc' inline elements.
-}
module Text.Pandoc.Readers.TeXMath ( 
                                     readTeXMath 
                                   ) where

import Text.ParserCombinators.Parsec
import Text.Pandoc.UTF8
import Text.Pandoc.Definition
import Text.Pandoc.Shared

-- | Converts a string of raw TeX math to a list of 'Pandoc' inlines. 
readTeXMath :: String -> [Inline]
readTeXMath inp = case parse teXMath "input" inp of
   Left err  -> error $ "\nError:\n" ++ show err
   Right res -> res

teXMath = manyTill mathPart eof >>= return . concat

mathPart = whitespace <|> superscript <|> subscript <|> symbol <|> 
           argument <|> digits <|> letters <|> misc

whitespace = many1 space >> return []

symbol = try $ do
  char '\\'
  res <- many1 letter
  case lookup res teXsymbols of
    Just m  -> return [Str m]
    Nothing -> return [Str $ "\\" ++ res]

argument = try $ do
  char '{'
  res <- many mathPart
  char '}'
  return $ if null res 
              then [Str " "]
              else [Str "{"] ++ concat res ++ [Str "}"]

digits = do
  res <- many1 digit
  return [Str res]

letters = do
  res <- many1 letter
  return [Emph [Str res]]

misc = do
  res <- noneOf "{}\\"
  return [Str [res]] 

scriptArg = try $ do
  (try (do{char '{'; r <- many mathPart; char '}'; return $ concat r}))
   <|> symbol
   <|> (do{c <- (letter <|> digit); return [Str [c]]})
  
superscript = try $ do
  char '^'
  arg <- scriptArg
  return [Superscript arg]

subscript = try $ do
  char '_'
  arg <- scriptArg
  return [Subscript arg]
 
withThinSpace str = "\x2009" ++ str ++ "\x2009"

teXsymbols = 
 [("alpha","\x3B1")
 ,("beta", "\x3B2")
 ,("chi", "\x3C7")
 ,("delta", "\x3B4")
 ,("Delta", "\x394")
 ,("epsilon", "\x3B5")
 ,("varepsilon", "\x25B")
 ,("eta", "\x3B7")
 ,("gamma", "\x3B3")
 ,("Gamma", "\x393")
 ,("iota", "\x3B9")
 ,("kappa", "\x3BA")
 ,("lambda", "\x3BB")
 ,("Lambda", "\x39B")
 ,("mu", "\x3BC")
 ,("nu", "\x3BD")
 ,("omega", "\x3C9")
 ,("Omega", "\x3A9")
 ,("phi", "\x3C6")
 ,("varphi", "\x3D5")
 ,("Phi", "\x3A6")
 ,("pi", "\x3C0")
 ,("Pi", "\x3A0")
 ,("psi", "\x3C8")
 ,("Psi", "\x3A8")
 ,("rho", "\x3C1")
 ,("sigma", "\x3C3")
 ,("Sigma", "\x3A3")
 ,("tau", "\x3C4")
 ,("theta", "\x3B8")
 ,("vartheta", "\x3D1")
 ,("Theta", "\x398")
 ,("upsilon", "\x3C5")
 ,("xi", "\x3BE")
 ,("Xi", "\x39E")
 ,("zeta", "\x3B6")
 ,("ne", "\x2260")
 ,("lt", withThinSpace "<")
 ,("le", withThinSpace "\x2264")
 ,("leq", withThinSpace "\x2264")
 ,("ge", withThinSpace "\x2265")
 ,("geq", withThinSpace "\x2265")
 ,("prec", withThinSpace "\x227A")
 ,("succ", withThinSpace "\x227B")
 ,("preceq", withThinSpace "\x2AAF")
 ,("succeq", withThinSpace "\x2AB0")
 ,("in", withThinSpace "\x2208")
 ,("notin", withThinSpace "\x2209")
 ,("subset", withThinSpace "\x2282")
 ,("supset", withThinSpace "\x2283")
 ,("subseteq", withThinSpace "\x2286")
 ,("supseteq", withThinSpace "\x2287")
 ,("equiv", withThinSpace "\x2261")
 ,("cong", withThinSpace "\x2245")
 ,("approx", withThinSpace "\x2248")
 ,("propto", withThinSpace "\x221D")
 ,("cdot", withThinSpace "\x22C5")
 ,("star", withThinSpace "\x22C6")
 ,("backslash", "\\")
 ,("times", withThinSpace "\x00D7")
 ,("divide", withThinSpace "\x00F7")
 ,("circ", withThinSpace "\x2218")
 ,("oplus", withThinSpace "\x2295")
 ,("otimes", withThinSpace "\x2297")
 ,("odot", withThinSpace "\x2299")
 ,("sum", "\x2211")
 ,("prod", "\x220F")
 ,("wedge", withThinSpace "\x2227")
 ,("bigwedge", withThinSpace "\x22C0")
 ,("vee", withThinSpace "\x2228")
 ,("bigvee", withThinSpace "\x22C1")
 ,("cap", withThinSpace "\x2229")
 ,("bigcap", withThinSpace "\x22C2")
 ,("cup", withThinSpace "\x222A")
 ,("bigcup", withThinSpace "\x22C3")
 ,("neg", "\x00AC")
 ,("implies", withThinSpace "\x21D2")
 ,("iff", withThinSpace "\x21D4")
 ,("forall", "\x2200")
 ,("exists", "\x2203")
 ,("bot", "\x22A5")
 ,("top", "\x22A4")
 ,("vdash", "\x22A2")
 ,("models", withThinSpace "\x22A8")
 ,("uparrow", "\x2191")
 ,("downarrow", "\x2193")
 ,("rightarrow", withThinSpace "\x2192")
 ,("to", withThinSpace "\x2192")
 ,("rightarrowtail", "\x21A3")
 ,("twoheadrightarrow", withThinSpace "\x21A0")
 ,("twoheadrightarrowtail", withThinSpace "\x2916")
 ,("mapsto", withThinSpace "\x21A6")
 ,("leftarrow", withThinSpace "\x2190")
 ,("leftrightarrow", withThinSpace "\x2194")
 ,("Rightarrow", withThinSpace "\x21D2")
 ,("Leftarrow", withThinSpace "\x21D0")
 ,("Leftrightarrow", withThinSpace "\x21D4")
 ,("partial", "\x2202")
 ,("nabla", "\x2207")
 ,("pm", "\x00B1")
 ,("emptyset", "\x2205")
 ,("infty", "\x221E")
 ,("aleph", "\x2135")
 ,("ldots", "...")
 ,("therefore", "\x2234")
 ,("angle", "\x2220")
 ,("quad", "\x00A0\x00A0")
 ,("cdots", "\x22EF")
 ,("vdots", "\x22EE")
 ,("ddots", "\x22F1")
 ,("diamond", "\x22C4")
 ,("Box", "\x25A1")
 ,("lfloor", "\x230A")
 ,("rfloor", "\x230B")
 ,("lceiling", "\x2308")
 ,("rceiling", "\x2309")
 ,("langle", "\x2329")
 ,("rangle", "\x232A")
 ,("{", "{")
 ,("}", "}")
 ,("[", "[")
 ,("]", "]")
 ,("|", "|")
 ,("||", "||")
 ]