File: OMML.hs

package info (click to toggle)
haskell-texmath 0.6.6.1-1
  • links: PTS, VCS
  • area: main
  • in suites: jessie, jessie-kfreebsd
  • size: 780 kB
  • ctags: 2
  • sloc: haskell: 1,726; sh: 32; makefile: 4
file content (239 lines) | stat: -rw-r--r-- 10,684 bytes parent folder | download
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
{-
Copyright (C) 2012 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
-}

{- | Functions for writing a parsed formula as OMML.
-}

module Text.TeXMath.OMML (toOMML, showExp)
where

import Text.XML.Light
import Text.TeXMath.Types
import Data.Generics (everywhere, mkT)

toOMML :: DisplayType -> [Exp] -> Element
toOMML dt = container . concatMap showExp
            . everywhere (mkT $ handleDownup dt)
    where container = case dt of
                  DisplayBlock  -> \x -> mnode "oMathPara"
                                    [ mnode "oMathParaPr"
                                      $ mnodeA "jc" "center" ()
                                    , mnode "oMath" x ]
                  DisplayInline -> mnode "oMath"

mnode :: Node t => String -> t -> Element
mnode s = node (QName s Nothing (Just "m"))

mnodeA :: Node t => String -> String -> t -> Element
mnodeA s v = add_attr (Attr (QName "val" Nothing (Just "m")) v) . mnode s

str :: [Element] -> String -> Element
str props s = mnode "r" [ mnode "rPr" props
                        , mnode "t" s ]

showBinary :: String -> Exp -> Exp -> Element
showBinary c x y =
  case c of
       "\\frac" -> mnode "f" [ mnode "fPr" $
                                mnodeA "type" "bar" ()
                             , mnode "num" x'
                             , mnode "den" y']
       "\\dfrac" -> showBinary "\\frac" x y
       "\\tfrac" -> mnode "f" [ mnode "fPr" $
                                 mnodeA "type" "lin" ()
                              , mnode "num" x'
                              , mnode "den" y']
       "\\sqrt"  -> mnode "rad" [ mnode "radPr" $
                                   mnodeA "degHide" "on" ()
                                , mnode "deg" y'
                                , mnode "e" x']
       "\\stackrel" -> mnode "limUpp" [ mnode "e" y'
                                       , mnode "lim" x']
       "\\overset" -> mnode "limUpp" [ mnode "e" y'
                                     , mnode "lim" x' ]
       "\\underset" -> mnode "limLow" [ mnode "e" y'
                                      , mnode "lim" x' ]
       "\\binom"    -> mnode "d" [ mnode "dPr" $
                                     mnodeA "sepChr" "," ()
                                 , mnode "e" $
                                     mnode "f" [ mnode "fPr" $
                                                   mnodeA "type"
                                                     "noBar" ()
                                               , mnode "num" x'
                                               , mnode "den" y' ]] 
       _ -> error $ "Unknown binary operator " ++ c
    where x' = showExp x
          y' = showExp y

makeArray :: [Alignment] -> [ArrayLine] -> Element
makeArray as rs = mnode "m" $ mProps : map toMr rs
  where mProps = mnode "mPr"
                  [ mnodeA "baseJc" "center" ()
                  , mnodeA "plcHide" "on" ()
                  , mnode "mcs" $ map toMc as' ]
        as'    = take (length rs) $ as ++ cycle [AlignDefault]
        toMr r = mnode "mr" $ map (mnode "e" . concatMap showExp) r
        toMc a = mnode "mc" $ mnode "mcPr"
                            $ mnodeA "mcJc" (toAlign a) ()
        toAlign AlignLeft    = "left"
        toAlign AlignRight   = "right"
        toAlign AlignCenter  = "center"
        toAlign AlignDefault = "left"

makeText :: TextType -> String -> Element
makeText a s = str attrs s
  where attrs = case a of
                     TextNormal       -> [sty "p"]
                     TextBold         -> [sty "b"]
                     TextItalic       -> [sty "i"]
                     TextMonospace    -> [sty "p", scr "monospace"]
                     TextSansSerif    -> [sty "p", scr "sans-serif"]
                     TextDoubleStruck -> [sty "p", scr "double-struck"]
                     TextScript       -> [sty "p", scr "script"]
                     TextFraktur      -> [sty "p", scr "fraktur"]
                     TextBoldItalic    -> [sty "i"]
                     TextBoldSansSerif -> [sty "b", scr "sans-serif"]
                     TextBoldScript    -> [sty "b", scr "script"]
                     TextBoldFraktur   -> [sty "b", scr "fraktur"]
                     TextSansSerifItalic -> [sty "i", scr "sans-serif"]
                     TextBoldSansSerifItalic -> [sty "bi", scr "sans-serif"]
        sty x = mnodeA "sty" x ()
        scr x = mnodeA "scr" x ()

handleDownup :: DisplayType -> [Exp] -> [Exp]
handleDownup dt (exp' : xs) =
  case exp' of
       EDown x y
         | isNary x  -> EGrouped [constructor x y emptyGroup, next] : rest
         | otherwise -> case dt of
                             DisplayBlock  -> EUnder x y : xs
                             DisplayInline -> ESub x y : xs
       EUp   x y
         | isNary x  -> EGrouped [constructor x emptyGroup y, next] : rest
         | otherwise -> case dt of
                             DisplayBlock  -> EOver x y : xs
                             DisplayInline -> ESuper x y : xs
       EDownup x y z
         | isNary x  -> EGrouped [constructor x y z, next] : rest
         | otherwise -> case dt of
                             DisplayBlock  -> EUnderover x y z : xs
                             DisplayInline -> ESubsup x y z : xs
       ESub x y
         | isNary x  -> EGrouped [ESubsup x y emptyGroup, next] : rest
       ESuper x y
         | isNary x  -> EGrouped [ESubsup x emptyGroup y, next] : rest
       ESubsup x y z
         | isNary x  -> EGrouped [ESubsup x y z, next] : rest
       EOver x y
         | isNary x  -> EGrouped [EUnderover x y emptyGroup, next] : rest
       EUnder x y
         | isNary x  -> EGrouped [EUnderover x emptyGroup y, next] : rest
       EUnderover x y z
         | isNary x  -> EGrouped [EUnderover x y z, next] : rest
       _             -> exp' : next : rest
    where (next, rest) = case xs of
                              (t:ts) -> (t,ts)
                              []     -> (emptyGroup, [])
          emptyGroup = EGrouped []
          constructor = case dt of
                             DisplayBlock  -> EUnderover
                             DisplayInline -> ESubsup
handleDownup _ []            = []

showExp :: Exp -> [Element]
showExp e =
 case e of
   ENumber x        -> [str [] x]
   EGrouped [EUnderover (ESymbol Op s) y z, w] -> [makeNary "undOvr" s y z w]
   EGrouped [ESubsup (ESymbol Op s) y z, w] -> [makeNary "subSup" s y z w]
   EGrouped xs      -> concatMap showExp xs
   EDelimited start end xs ->
                       [mnode "d" [ mnode "dPr"
                                    [ mnodeA "begChr" start ()
                                    , mnodeA "endChr" end ()
                                    , mnode "grow" () ]
                                  , mnode "e" $ concatMap showExp xs
                                  ] ]

   EIdentifier x    -> [str [] x]
   EMathOperator x  -> [makeText TextNormal x]
   EStretchy x      -> showExp x  -- no support for stretchy in OMML
   ESymbol _ x      -> [str [] x]
   ESpace "0.167em" -> [str [] "\x2009"]
   ESpace "0.222em" -> [str [] "\x2005"]
   ESpace "0.278em" -> [str [] "\x2004"]
   ESpace "0.333em" -> [str [] "\x2004"]
   ESpace "1em"     -> [str [] "\x2001"]
   ESpace "2em"     -> [str [] "\x2001\x2001"]
   ESpace _         -> [] -- this is how the xslt sheet handles all spaces
   EBinary c x y    -> [showBinary c x y]
   EUnder x (ESymbol Accent [c]) | isBarChar c ->
                       [mnode "bar" [ mnode "barPr" $
                                        mnodeA "pos" "bot" ()
                                    , mnode "e" $ showExp x ]]
   EOver x (ESymbol Accent [c]) | isBarChar c ->
                       [mnode "bar" [ mnode "barPr" $
                                        mnodeA "pos" "top" ()
                                    , mnode "e" $ showExp x ]]
   EOver x (ESymbol Accent y) ->
                       [mnode "acc" [ mnode "accPr" $
                                        mnodeA "chr" y ()
                                    , mnode "e" $ showExp x ]]
   ESub x y         -> [mnode "sSub" [ mnode "e" $ showExp x
                                     , mnode "sub" $ showExp y]]
   ESuper x y       -> [mnode "sSup" [ mnode "e" $ showExp x
                                     , mnode "sup" $ showExp y]]
   ESubsup x y z    -> [mnode "sSubSup" [ mnode "e" $ showExp x
                                        , mnode "sub" $ showExp y
                                        , mnode "sup" $ showExp z]]
   EUnder x y       -> [mnode "limLow" [ mnode "e" $ showExp x
                                       , mnode "lim" $ showExp y]]
   EOver x y        -> [mnode "limUpp" [ mnode "e" $ showExp x
                                       , mnode "lim" $ showExp y]]
   EUnderover x y z -> showExp (EUnder x (EOver y z))
   EUnary "\\sqrt" x  -> [mnode "rad" [ mnode "radPr" $ mnodeA "degHide" "on" ()
                                      , mnode "deg" ()
                                      , mnode "e" $ showExp x]]
   EUnary "\\surd" x  -> showExp $ EUnary "\\sqrt" x
   EScaled _ x      -> showExp x   -- no support for scaler?
   EArray as ls     -> [makeArray as ls]
   EText a s        -> [makeText a s]
   x                -> error $ "showExp encountered " ++ show x
   -- note: EUp, EDown, EDownup should be removed by handleDownup

isBarChar :: Char -> Bool
isBarChar c = c == '\x203E' || c == '\x00AF'

isNary :: Exp -> Bool
isNary (ESymbol Op _) = True
isNary _ = False

makeNary :: String -> String -> Exp -> Exp -> Exp -> Element
makeNary t s y z w =
  mnode "nary" [ mnode "naryPr"
                 [ mnodeA "chr" s ()
                 , mnodeA "limLoc" t ()
                 , mnodeA "supHide"
                    (if y == EGrouped [] then "on" else "off") ()
                 , mnodeA "supHide"
                    (if y == EGrouped [] then "on" else "off") ()
                 ]
               , mnode "e" $ showExp w
               , mnode "sub" $ showExp y
               , mnode "sup" $ showExp z ]