-
Notifications
You must be signed in to change notification settings - Fork 0
/
formulaparser.py
360 lines (290 loc) · 20.1 KB
/
formulaparser.py
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
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
"""
Copyright (c) 2012, Florian Bauer <fbauer.devel@gmail.com>
All rights reserved.
Licensed under the terms of the 2-clause BSD license.
See the file LICENSE.txt for details.
A parser for the odt formula language as specified in
OpenDocument-v1.2-cd05-part2-editor-revision.pdf
"""
import funcparserlib.parser as p
import string
from collections import namedtuple
import re
Node = namedtuple('Node', ['tag', 'value'])
def first(x):
return x[0]
def tag(t):
return lambda x: Node(t, x)
def oneof(ts):
return reduce(lambda x, y: x|y, [p.a(t) for t in ts])
def qchar(x):
return p.some(lambda s: s in x)
def qstring(x):
return p.many(qchar(x)) >> join
def qname(x):
return p.oneplus(qchar(x)) >> join
def join(x):
if x is None:
return ''
return ''.join(i for i in x if i is not None)
# entitities defined elsewhere
## [84] Letter ::= BaseChar | Ideographic
## [85] BaseChar ::= [#x0041-#x005A] | [#x0061-#x007A] | [#x00C0-#x00D6] | [#x00D8-#x00F6] | [#x00F8-#x00FF] | [#x0100-#x0131] | [#x0134-#x013E] | [#x0141-#x0148] | [#x014A-#x017E] | [#x0180-#x01C3] | [#x01CD-#x01F0] | [#x01F4-#x01F5] | [#x01FA-#x0217] | [#x0250-#x02A8] | [#x02BB-#x02C1] | #x0386 | [#x0388-#x038A] | #x038C | [#x038E-#x03A1] | [#x03A3-#x03CE] | [#x03D0-#x03D6] | #x03DA | #x03DC | #x03DE | #x03E0 | [#x03E2-#x03F3] | [#x0401-#x040C] | [#x040E-#x044F] | [#x0451-#x045C] | [#x045E-#x0481] | [#x0490-#x04C4] | [#x04C7-#x04C8] | [#x04CB-#x04CC] | [#x04D0-#x04EB] | [#x04EE-#x04F5] | [#x04F8-#x04F9] | [#x0531-#x0556] | #x0559 | [#x0561-#x0586] | [#x05D0-#x05EA] | [#x05F0-#x05F2] | [#x0621-#x063A] | [#x0641-#x064A] | [#x0671-#x06B7] | [#x06BA-#x06BE] | [#x06C0-#x06CE] | [#x06D0-#x06D3] | #x06D5 | [#x06E5-#x06E6] | [#x0905-#x0939] | #x093D | [#x0958-#x0961] | [#x0985-#x098C] | [#x098F-#x0990] | [#x0993-#x09A8] | [#x09AA-#x09B0] | #x09B2 | [#x09B6-#x09B9] | [#x09DC-#x09DD] | [#x09DF-#x09E1] | [#x09F0-#x09F1] | [#x0A05-#x0A0A] | [#x0A0F-#x0A10] | [#x0A13-#x0A28] | [#x0A2A-#x0A30] | [#x0A32-#x0A33] | [#x0A35-#x0A36] | [#x0A38-#x0A39] | [#x0A59-#x0A5C] | #x0A5E | [#x0A72-#x0A74] | [#x0A85-#x0A8B] | #x0A8D | [#x0A8F-#x0A91] | [#x0A93-#x0AA8] | [#x0AAA-#x0AB0] | [#x0AB2-#x0AB3] | [#x0AB5-#x0AB9] | #x0ABD | #x0AE0 | [#x0B05-#x0B0C] | [#x0B0F-#x0B10] | [#x0B13-#x0B28] | [#x0B2A-#x0B30] | [#x0B32-#x0B33] | [#x0B36-#x0B39] | #x0B3D | [#x0B5C-#x0B5D] | [#x0B5F-#x0B61] | [#x0B85-#x0B8A] | [#x0B8E-#x0B90] | [#x0B92-#x0B95] | [#x0B99-#x0B9A] | #x0B9C | [#x0B9E-#x0B9F] | [#x0BA3-#x0BA4] | [#x0BA8-#x0BAA] | [#x0BAE-#x0BB5] | [#x0BB7-#x0BB9] | [#x0C05-#x0C0C] | [#x0C0E-#x0C10] | [#x0C12-#x0C28] | [#x0C2A-#x0C33] | [#x0C35-#x0C39] | [#x0C60-#x0C61] | [#x0C85-#x0C8C] | [#x0C8E-#x0C90] | [#x0C92-#x0CA8] | [#x0CAA-#x0CB3] | [#x0CB5-#x0CB9] | #x0CDE | [#x0CE0-#x0CE1] | [#x0D05-#x0D0C] | [#x0D0E-#x0D10] | [#x0D12-#x0D28] | [#x0D2A-#x0D39] | [#x0D60-#x0D61] | [#x0E01-#x0E2E] | #x0E30 | [#x0E32-#x0E33] | [#x0E40-#x0E45] | [#x0E81-#x0E82] | #x0E84 | [#x0E87-#x0E88] | #x0E8A | #x0E8D | [#x0E94-#x0E97] | [#x0E99-#x0E9F] | [#x0EA1-#x0EA3] | #x0EA5 | #x0EA7 | [#x0EAA-#x0EAB] | [#x0EAD-#x0EAE] | #x0EB0 | [#x0EB2-#x0EB3] | #x0EBD | [#x0EC0-#x0EC4] | [#x0F40-#x0F47] | [#x0F49-#x0F69] | [#x10A0-#x10C5] | [#x10D0-#x10F6] | #x1100 | [#x1102-#x1103] | [#x1105-#x1107] | #x1109 | [#x110B-#x110C] | [#x110E-#x1112] | #x113C | #x113E | #x1140 | #x114C | #x114E | #x1150 | [#x1154-#x1155] | #x1159 | [#x115F-#x1161] | #x1163 | #x1165 | #x1167 | #x1169 | [#x116D-#x116E] | [#x1172-#x1173] | #x1175 | #x119E | #x11A8 | #x11AB | [#x11AE-#x11AF] | [#x11B7-#x11B8] | #x11BA | [#x11BC-#x11C2] | #x11EB | #x11F0 | #x11F9 | [#x1E00-#x1E9B] | [#x1EA0-#x1EF9] | [#x1F00-#x1F15] | [#x1F18-#x1F1D] | [#x1F20-#x1F45] | [#x1F48-#x1F4D] | [#x1F50-#x1F57] | #x1F59 | #x1F5B | #x1F5D | [#x1F5F-#x1F7D] | [#x1F80-#x1FB4] | [#x1FB6-#x1FBC] | #x1FBE | [#x1FC2-#x1FC4] | [#x1FC6-#x1FCC] | [#x1FD0-#x1FD3] | [#x1FD6-#x1FDB] | [#x1FE0-#x1FEC] | [#x1FF2-#x1FF4] | [#x1FF6-#x1FFC] | #x2126 | [#x212A-#x212B] | #x212E | [#x2180-#x2182] | [#x3041-#x3094] | [#x30A1-#x30FA] | [#x3105-#x312C] | [#xAC00-#xD7A3]
## [86] Ideographic ::= [#x4E00-#x9FA5] | #x3007 | [#x3021-#x3029]
## [87] CombiningChar ::= [#x0300-#x0345] | [#x0360-#x0361] | [#x0483-#x0486] | [#x0591-#x05A1] | [#x05A3-#x05B9] | [#x05BB-#x05BD] | #x05BF | [#x05C1-#x05C2] | #x05C4 | [#x064B-#x0652] | #x0670 | [#x06D6-#x06DC] | [#x06DD-#x06DF] | [#x06E0-#x06E4] | [#x06E7-#x06E8] | [#x06EA-#x06ED] | [#x0901-#x0903] | #x093C | [#x093E-#x094C] | #x094D | [#x0951-#x0954] | [#x0962-#x0963] | [#x0981-#x0983] | #x09BC | #x09BE | #x09BF | [#x09C0-#x09C4] | [#x09C7-#x09C8] | [#x09CB-#x09CD] | #x09D7 | [#x09E2-#x09E3] | #x0A02 | #x0A3C | #x0A3E | #x0A3F | [#x0A40-#x0A42] | [#x0A47-#x0A48] | [#x0A4B-#x0A4D] | [#x0A70-#x0A71] | [#x0A81-#x0A83] | #x0ABC | [#x0ABE-#x0AC5] | [#x0AC7-#x0AC9] | [#x0ACB-#x0ACD] | [#x0B01-#x0B03] | #x0B3C | [#x0B3E-#x0B43] | [#x0B47-#x0B48] | [#x0B4B-#x0B4D] | [#x0B56-#x0B57] | [#x0B82-#x0B83] | [#x0BBE-#x0BC2] | [#x0BC6-#x0BC8] | [#x0BCA-#x0BCD] | #x0BD7 | [#x0C01-#x0C03] | [#x0C3E-#x0C44] | [#x0C46-#x0C48] | [#x0C4A-#x0C4D] | [#x0C55-#x0C56] | [#x0C82-#x0C83] | [#x0CBE-#x0CC4] | [#x0CC6-#x0CC8] | [#x0CCA-#x0CCD] | [#x0CD5-#x0CD6] | [#x0D02-#x0D03] | [#x0D3E-#x0D43] | [#x0D46-#x0D48] | [#x0D4A-#x0D4D] | #x0D57 | #x0E31 | [#x0E34-#x0E3A] | [#x0E47-#x0E4E] | #x0EB1 | [#x0EB4-#x0EB9] | [#x0EBB-#x0EBC] | [#x0EC8-#x0ECD] | [#x0F18-#x0F19] | #x0F35 | #x0F37 | #x0F39 | #x0F3E | #x0F3F | [#x0F71-#x0F84] | [#x0F86-#x0F8B] | [#x0F90-#x0F95] | #x0F97 | [#x0F99-#x0FAD] | [#x0FB1-#x0FB7] | #x0FB9 | [#x20D0-#x20DC] | #x20E1 | [#x302A-#x302F] | #x3099 | #x309A
## [88] Digit ::= [#x0030-#x0039] | [#x0660-#x0669] | [#x06F0-#x06F9] | [#x0966-#x096F] | [#x09E6-#x09EF] | [#x0A66-#x0A6F] | [#x0AE6-#x0AEF] | [#x0B66-#x0B6F] | [#x0BE7-#x0BEF] | [#x0C66-#x0C6F] | [#x0CE6-#x0CEF] | [#x0D66-#x0D6F] | [#x0E50-#x0E59] | [#x0ED0-#x0ED9] | [#x0F20-#x0F29]
## [89] Extender ::= #x00B7 | #x02D0 | #x02D1 | #x0387 | #x0640 | #x0E46 | #x0EC6 | #x3005 | [#x3031-#x3035] | [#x309D-#x309E] | [#x30FC-#x30FE]
digitsxml = re.compile(ur'[\u0030-\u0039\u0660-\u0669\u06F0-\u06F9\u0966-\u096F\u09E6-\u09EF\u0A66-\u0A6F\u0AE6-\u0AEF\u0B66-\u0B6F\u0BE7-\u0BEF\u0C66-\u0C6F\u0CE6-\u0CEF\u0D66-\u0D6F\u0E50-\u0E59\u0ED0-\u0ED9\u0F20-\u0F29]')
letters = re.compile(ur'[\u0041-\u005A\u0061-\u007A\u00C0-\u00D6\u00D8-\u00F6\u00F8-\u00FF\u0100-\u0131\u0134-\u013E\u0141-\u0148\u014A-\u017E\u0180-\u01C3\u01CD-\u01F0\u01F4-\u01F5\u01FA-\u0217\u0250-\u02A8\u02BB-\u02C1\u0386\u0388-\u038A\u038C\u038E-\u03A1\u03A3-\u03CE\u03D0-\u03D6\u03DA\u03DC\u03DE\u03E0\u03E2-\u03F3\u0401-\u040C\u040E-\u044F\u0451-\u045C\u045E-\u0481\u0490-\u04C4\u04C7-\u04C8\u04CB-\u04CC\u04D0-\u04EB\u04EE-\u04F5\u04F8-\u04F9\u0531-\u0556\u0559\u0561-\u0586\u05D0-\u05EA\u05F0-\u05F2\u0621-\u063A\u0641-\u064A\u0671-\u06B7\u06BA-\u06BE\u06C0-\u06CE\u06D0-\u06D3\u06D5\u06E5-\u06E6\u0905-\u0939\u093D\u0958-\u0961\u0985-\u098C\u098F-\u0990\u0993-\u09A8\u09AA-\u09B0\u09B2\u09B6-\u09B9\u09DC-\u09DD\u09DF-\u09E1\u09F0-\u09F1\u0A05-\u0A0A\u0A0F-\u0A10\u0A13-\u0A28\u0A2A-\u0A30\u0A32-\u0A33\u0A35-\u0A36\u0A38-\u0A39\u0A59-\u0A5C\u0A5E\u0A72-\u0A74\u0A85-\u0A8B\u0A8D\u0A8F-\u0A91\u0A93-\u0AA8\u0AAA-\u0AB0\u0AB2-\u0AB3\u0AB5-\u0AB9\u0ABD\u0AE0\u0B05-\u0B0C\u0B0F-\u0B10\u0B13-\u0B28\u0B2A-\u0B30\u0B32-\u0B33\u0B36-\u0B39\u0B3D\u0B5C-\u0B5D\u0B5F-\u0B61\u0B85-\u0B8A\u0B8E-\u0B90\u0B92-\u0B95\u0B99-\u0B9A\u0B9C\u0B9E-\u0B9F\u0BA3-\u0BA4\u0BA8-\u0BAA\u0BAE-\u0BB5\u0BB7-\u0BB9\u0C05-\u0C0C\u0C0E-\u0C10\u0C12-\u0C28\u0C2A-\u0C33\u0C35-\u0C39\u0C60-\u0C61\u0C85-\u0C8C\u0C8E-\u0C90\u0C92-\u0CA8\u0CAA-\u0CB3\u0CB5-\u0CB9\u0CDE\u0CE0-\u0CE1\u0D05-\u0D0C\u0D0E-\u0D10\u0D12-\u0D28\u0D2A-\u0D39\u0D60-\u0D61\u0E01-\u0E2E\u0E30\u0E32-\u0E33\u0E40-\u0E45\u0E81-\u0E82\u0E84\u0E87-\u0E88\u0E8A\u0E8D\u0E94-\u0E97\u0E99-\u0E9F\u0EA1-\u0EA3\u0EA5\u0EA7\u0EAA-\u0EAB\u0EAD-\u0EAE\u0EB0\u0EB2-\u0EB3\u0EBD\u0EC0-\u0EC4\u0F40-\u0F47\u0F49-\u0F69\u10A0-\u10C5\u10D0-\u10F6\u1100\u1102-\u1103\u1105-\u1107\u1109\u110B-\u110C\u110E-\u1112\u113C\u113E\u1140\u114C\u114E\u1150\u1154-\u1155\u1159\u115F-\u1161\u1163\u1165\u1167\u1169\u116D-\u116E\u1172-\u1173\u1175\u119E\u11A8\u11AB\u11AE-\u11AF\u11B7-\u11B8\u11BA\u11BC-\u11C2\u11EB\u11F0\u11F9\u1E00-\u1E9B\u1EA0-\u1EF9\u1F00-\u1F15\u1F18-\u1F1D\u1F20-\u1F45\u1F48-\u1F4D\u1F50-\u1F57\u1F59\u1F5B\u1F5D\u1F5F-\u1F7D\u1F80-\u1FB4\u1FB6-\u1FBC\u1FBE\u1FC2-\u1FC4\u1FC6-\u1FCC\u1FD0-\u1FD3\u1FD6-\u1FDB\u1FE0-\u1FEC\u1FF2-\u1FF4\u1FF6-\u1FFC\u2126\u212A-\u212B\u212E\u2180-\u2182\u3041-\u3094\u30A1-\u30FA\u3105-\u312C\uAC00-\uD7A3\u4E00-\u9FA5\u3007\u3021-\u3029]')
letterxml = p.some(letters.match)
combiningchars = re.compile(ur'[\u0300-\u0345\u0360-\u0361\u0483-\u0486\u0591-\u05A1\u05A3-\u05B9\u05BB-\u05BD\u05BF\u05C1-\u05C2\u05C4\u064B-\u0652\u0670\u06D6-\u06DC\u06DD-\u06DF\u06E0-\u06E4\u06E7-\u06E8\u06EA-\u06ED\u0901-\u0903\u093C\u093E-\u094C\u094D\u0951-\u0954\u0962-\u0963\u0981-\u0983\u09BC\u09BE\u09BF\u09C0-\u09C4\u09C7-\u09C8\u09CB-\u09CD\u09D7\u09E2-\u09E3\u0A02\u0A3C\u0A3E\u0A3F\u0A40-\u0A42\u0A47-\u0A48\u0A4B-\u0A4D\u0A70-\u0A71\u0A81-\u0A83\u0ABC\u0ABE-\u0AC5\u0AC7-\u0AC9\u0ACB-\u0ACD\u0B01-\u0B03\u0B3C\u0B3E-\u0B43\u0B47-\u0B48\u0B4B-\u0B4D\u0B56-\u0B57\u0B82-\u0B83\u0BBE-\u0BC2\u0BC6-\u0BC8\u0BCA-\u0BCD\u0BD7\u0C01-\u0C03\u0C3E-\u0C44\u0C46-\u0C48\u0C4A-\u0C4D\u0C55-\u0C56\u0C82-\u0C83\u0CBE-\u0CC4\u0CC6-\u0CC8\u0CCA-\u0CCD\u0CD5-\u0CD6\u0D02-\u0D03\u0D3E-\u0D43\u0D46-\u0D48\u0D4A-\u0D4D\u0D57\u0E31\u0E34-\u0E3A\u0E47-\u0E4E\u0EB1\u0EB4-\u0EB9\u0EBB-\u0EBC\u0EC8-\u0ECD\u0F18-\u0F19\u0F35\u0F37\u0F39\u0F3E\u0F3F\u0F71-\u0F84\u0F86-\u0F8B\u0F90-\u0F95\u0F97\u0F99-\u0FAD\u0FB1-\u0FB7\u0FB9\u20D0-\u20DC\u20E1\u302A-\u302F\u3099\u309A]')
combiningcharxml = p.some(combiningchars.match)
digitxml = p.some(digitsxml.match)
expression = p.forward_decl()
quote = p.skip(p.a("'"))
singlequoted = quote + (p.oneplus(p.a("'") + p.a("'") | p.some(lambda x: x != "'")) >> join) + quote
identifier = (letterxml +
(p.many(letterxml |
digitxml |
p.a('_') |
p.a('.') |
combiningcharxml) >> join)
>> join) >> string.upper >> tag(u'identifier')
iri = p.oneplus(p.some(lambda x: x not in u"'#")) >> join >> tag(u'iri')
## Whitespace ::= #x20 | #x09 | #x0a | #x0d
whitespace = oneof(u'\x20\x09\x0a\x0d')
spaces = p.skip(p.many(whitespace))
## Array ::= '{' MatrixRow ( RowSeparator MatrixRow )* '}'
## MatrixRow ::= Expression ( ';' Expression )*
## RowSeparator ::= '|'
rowseparator = p.a('|')
matrixrow = expression + p.many( p.a(';') + expression)
array = p.a('{') + matrixrow + p.many(rowseparator + matrixrow) + p.a('}') >> tag('array')
## Error ::= '#' [A-Z0-9]+ ([!?] | ('/' ([A-Z] | ([0-9] [!?]))))
error = (p.a('#') + qname(string.uppercase + string.digits) +
(oneof('!?') | (p.a('/') + (oneof(string.uppercase) |
(oneof(string.digits) + oneof('!?')))))) >> tag('error')
## QuotedLabel ::= SingleQuoted
quotedlabel = singlequoted >> tag(u'quotedlabel')
## AutomaticIntersection ::= QuotedLabel Whitespace* '!!' Whitespace* QuotedLabel
automaticintersection = quotedlabel + spaces + p.a('!!') + spaces + quotedlabel
## Reference ::= '[' Source? RangeAddress ']'
## RangeAddress ::=
## SheetLocatorOrEmpty '.' Column Row (':' '.' Column Row )? |
## SheetLocatorOrEmpty '.' Column ':' '.' Column |
## SheetLocatorOrEmpty '.' Row ':' '.' Row |
## SheetLocator '.' Column Row ':' SheetLocator '.' Column Row |
## SheetLocator '.' Column ':' SheetLocator '.' Column |
## SheetLocator '.' Row ':' SheetLocator '.' Row
## SheetLocatorOrEmpty ::= SheetLocator | /* empty */
## SheetLocator ::= SheetName ('.' SubtableCell)*
## SheetName ::= QuotedSheetName | '$'? [^\]\. #$']+
## QuotedSheetName ::= '$'? SingleQuoted | Error
## SubtableCell ::= ( Column Row ) | QuotedSheetName
## Column ::= '$'? [A-Z]+
## Row ::= '$'? [1-9] [0-9]*
## Source ::= "'" IRI "'" "#"
## CellAddress ::= SheetLocatorOrEmpty '.' Column Row /* Not used
## directly */
def isabs(tree):
absref, ref = tree
if absref:
return tag('absref')(ref)
else:
return ref
absref = p.maybe(p.a('$'))
quotedsheetname = (absref + singlequoted) >> isabs | error
column = (absref + (qname(string.uppercase) >> tag(u'string'))) >> isabs
row = (absref + ((qchar('123456789') + qstring('0123456789')) >> join >> int>> tag(u'integer'))) >> isabs
subtablecell = (column + row) | quotedsheetname
source = (quote + iri + quote + p.skip(p.a("#"))) >> tag("source")
sheetname = (quotedsheetname | absref + (p.oneplus(p.some(lambda x: x not in "]. #$'")) >> join)) >> tag('string')
# XXX cell address already matched by subtablecell, need non-greedy match there
sheetlocator = sheetname #+ p.many(p.a('.') + subtablecell)
sheetlocatororempty = p.maybe(sheetlocator)
celladdress = sheetlocatororempty + p.a('.') + column + row # Not used directly
dot = p.skip(p.a('.'))
colon = p.skip(p.a(':'))
def addrow(x):
return (x[0], x[1], None)
def addcolumn(x):
return (x[0], None, x[1])
rangeaddress = (
((sheetlocator + dot + column + row) >> tuple) + colon + ((sheetlocator + dot + column + row) >> tuple) |
((sheetlocator + dot + column) >> addrow) + colon + ((sheetlocator + dot + column) >> addrow) |
((sheetlocator + dot + row) >> addcolumn) + colon + ((sheetlocator + dot + row) >> addcolumn) |
((sheetlocatororempty + dot + column + row) >> tuple)
+ p.maybe(colon + dot + ((column + row) >> (lambda x: (None, x[0], x[1])) ) ) |
((sheetlocatororempty + dot + column) >> addrow) +
colon + dot + (column >> (lambda x: (None, x, None))) |
((sheetlocatororempty + dot + row) >> addcolumn) +
colon + dot + (row >> (lambda x: (None, None, x)))
)
reference = p.skip(p.a('[')) + p.maybe(source) + rangeaddress + p.skip(p.a(']')) >> tag('reference')
## NamedExpression ::= SimpleNamedExpression |
## SheetLocalNamedExpression | ExternalNamedExpression
## SimpleNamedExpression ::= Identifier |
## '$$' (Identifier | SingleQuoted)
## SheetLocalNamedExpression ::=
## QuotedSheetName '.' SimpleNamedExpression
## ExternalNamedExpression ::=
## Source '#' (SimpleNamedExpression | SheetLocalNamedExpression)
simplenamedexpression = (identifier | p.a('$') + p.a('$') + (identifier | singlequoted))
sheetlocalnamedexpression = quotedsheetname + p.a('.') + simplenamedexpression
externalnamedexpression = source + p.a('#') + (simplenamedexpression | sheetlocalnamedexpression)
namedexpression = (simplenamedexpression | sheetlocalnamedexpression | externalnamedexpression) >> tag(u'namedexpression')
## ParameterList ::= /* empty */ |
## Parameter (Separator EmptyOrParameter )* |
## Separator EmptyOrParameter /* First param empty */
## (Separator EmptyOrParameter )*
## EmptyOrParameter ::= /* empty */ Whitespace* | Parameter
## Parameter ::= Expression
## Separator ::= ';'
parameter = expression
separator = p.skip(p.a(';'))
def mkNone(x):
if isinstance(x, p._Ignored):
return None
else:
return x
emptyorparameter = p.maybe(p.skip(p.oneplus(whitespace)) | parameter) >> mkNone
def empty(x):
if x == [None]:
return []
else:
return x
def flat(x):
return [x[0]] + x[1]
parameterlist = p.maybe(parameter + p.many(separator + emptyorparameter) |
#(separator >> (lambda x: None)) +
emptyorparameter + p.many(separator + emptyorparameter ))>> flat >> empty >> tag(u'parameterlist')
## FunctionName ::= Identifier
## Identifier ::= LetterXML (LetterXML | DigitXML |
## '_' | '.' | CombiningCharXML)*
functionname = identifier
## ReferenceOp ::= IntersectionOp | ReferenceConcatenationOp | RangeOp
## IntersectionOp ::= '!'
## ReferenceConcatenationOp ::= '~'
## RangeOp ::= ':'
rangeop = p.a(':')
intersectionop = p.a('!')
referenceconcatenationop = p.a('~')
referenceop = intersectionop | referenceconcatenationop | rangeop
## PrefixOp ::= '+' | '-'
## PostfixOp ::= '%'
## InfixOp ::= ArithmeticOp | ComparisonOp | StringOp | ReferenceOp
## ArithmeticOp ::= '+' | '-' | '*' | '/' | '^'
## ComparisonOp ::= '=' | '<>' | '<' | '>' | '<=' | '>='
## StringOp ::= '&'
postfixop = p.a('%')
prefixop = oneof('+-')
pow_op = p.a('^')
add_op = p.a('+') | p.a('-')
mul_op = p.a('*') | p.a('/')
arithmeticop = add_op | mul_op | pow_op
comparisonop = p.a('=') | p.a('<>') | p.a('<') | p.a('>') | p.a('<=') | p.a('>=')
stringop = p.a('&')
infixop = arithmeticop | comparisonop | stringop | referenceop
## ReferenceList ::= Reference (Whitespace* ReferenceConcatenationOp
## Whitespace* Reference)*
referencelist = reference + p.many(spaces + referenceconcatenationop + spaces + reference)
## String ::= '"' ([^"#x00] | '""')* '"'
char = p.some(lambda x: x not in '"\0')
string = (p.skip(p.a('"'))
+ (p.many((p.a('"') + p.a('"') >> join) | char) >> join)
+ p.skip(p.a('"'))) >> tag('string')
## Number ::= StandardNumber |
## '.' [0-9]+ ([eE] [-+]? [0-9]+)?
## StandardNumber ::= [0-9]+ ('.' [0-9]+)? ([eE] [-+]? [0-9]+)?
digit = p.oneplus(p.some(lambda c: c.isdigit()))
digits = digit >> join
exponent = (p.maybe(oneof('eE') + p.maybe(oneof('-+')) + digits) >> join)
standardnumber = (digits + (p.maybe(p.a('.') + digits) >> join) + exponent)
number = (standardnumber | (p.a('.') + digits + exponent) >> join) >> join >> float >> tag(u'number')
## Expression ::=
## Whitespace* (
## Number |
## String |
## Array |
## PrefixOp Expression |
## Expression PostfixOp |
## Expression InfixOp Expression |
## '(' Expression ')' |
## FunctionName Whitespace* '(' ParameterList ')' |
## Reference |
## QuotedLabel |
## AutomaticIntersection |
## NamedExpression |
## Error
## ) Whitespace*
## SingleQuoted ::= "'" ([^'] | "''")+ "'"
function = (functionname + spaces + p.skip(p.a('(')) + parameterlist + p.skip(p.a(')'))) >> tag(u'function')
atoms = spaces + ((p.skip(p.a('(')) + expression + p.skip(p.a(')')) >> (lambda x: x.value)) |
function |
number |
string |
array |
reference |
quotedlabel |
automaticintersection |
namedexpression |
error
) + spaces
def infix(tree):
z, tail = tree
if not tail:
return z
else:
return reduce(lambda s, (f, x): tag('infixop')((f, s, x)), tail, z)
def postfix(tree):
z, tail = tree
if not tail:
return z
else:
return reduce(lambda s, f: tag('postfixop')((f, s)), tail, z)
def prefix(tree):
tail, z = tree
if not tail:
return z
else:
return reduce(lambda s, f: tag('prefixop')((f, s)), tail, z)
#
# expression parsing + precedence
range_ex = (atoms + p.many(rangeop + atoms)) >> infix
intersection_ex = (range_ex + p.many(intersectionop + range_ex)) >> infix
referenceconcatenation_ex = (intersection_ex + p.many(referenceconcatenationop + intersection_ex)) >> infix
postfix_ex = (referenceconcatenation_ex + p.many(postfixop)) >> postfix
prefix_ex = (p.many(prefixop) + postfix_ex) >> prefix
factor = (prefix_ex + p.many(pow_op + prefix_ex)) >> infix
term = (factor+ p.many(mul_op + factor)) >> infix
infix_ex = (term + p.many(add_op + term)) >> infix
string_ex = (infix_ex + p.many(stringop + infix_ex)) >> infix
comparision_ex = (string_ex + p.many(comparisonop + string_ex)) >> infix
expression.define(spaces + (comparision_ex >> tag('expression'))
+ spaces)
## Formula ::= Intro? Expression
## Intro ::= '=' ForceRecalc?
## ForceRecalc ::= '='
force_recalc = p.a('=')
intro = p.a('=') + p.maybe(force_recalc)
formula = ((p.maybe(intro) >> tag('intro')) + expression) >> tag('formula')
if __name__ == '__main__':
print string.parse('"a"')
print formula.parse('="f"')
print formula.parse('"f"')
print digit.parse('123')
print standardnumber.parse('1e3')
print standardnumber.parse('123')
print number.parse('1e3')
print number.parse('.1e3')
print string.parse('"a"')
print string.parse('""""')
print sheetname.parse('Sheet1.A1')
print sheetlocator.parse('Sheet1.A1')
print rangeaddress.parse('Sheet1.A1')
print reference.parse('[.B2]')
print reference.parse('[Sheet1.A1]')
print expression.parse('1')
print expression.parse('1+1')
print formula.parse('=IF()+bar()*baz()')
print formula.parse('=IF(5;TRUE();FALSE())')