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2390 jpm 1
<?php
2
/**
3
 * PHPExcel
4
 *
5
 * Copyright (c) 2006 - 2013 PHPExcel
6
 *
7
 * This library is free software; you can redistribute it and/or
8
 * modify it under the terms of the GNU Lesser General Public
9
 * License as published by the Free Software Foundation; either
10
 * version 2.1 of the License, or (at your option) any later version.
11
 *
12
 * This library is distributed in the hope that it will be useful,
13
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
14
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
15
 * Lesser General Public License for more details.
16
 *
17
 * You should have received a copy of the GNU Lesser General Public
18
 * License along with this library; if not, write to the Free Software
19
 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
20
 *
21
 * @category   PHPExcel
22
 * @package    PHPExcel_Writer_Excel5
23
 * @copyright  Copyright (c) 2006 - 2013 PHPExcel (http://www.codeplex.com/PHPExcel)
24
 * @license    http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt	LGPL
25
 * @version    ##VERSION##, ##DATE##
26
 */
27
 
28
// Original file header of PEAR::Spreadsheet_Excel_Writer_Parser (used as the base for this class):
29
// -----------------------------------------------------------------------------------------
30
// *  Class for parsing Excel formulas
31
// *
32
// *  License Information:
33
// *
34
// *    Spreadsheet_Excel_Writer:  A library for generating Excel Spreadsheets
35
// *    Copyright (c) 2002-2003 Xavier Noguer xnoguer@rezebra.com
36
// *
37
// *    This library is free software; you can redistribute it and/or
38
// *    modify it under the terms of the GNU Lesser General Public
39
// *    License as published by the Free Software Foundation; either
40
// *    version 2.1 of the License, or (at your option) any later version.
41
// *
42
// *    This library is distributed in the hope that it will be useful,
43
// *    but WITHOUT ANY WARRANTY; without even the implied warranty of
44
// *    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
45
// *    Lesser General Public License for more details.
46
// *
47
// *    You should have received a copy of the GNU Lesser General Public
48
// *    License along with this library; if not, write to the Free Software
49
// *    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
50
// */
51
 
52
 
53
/**
54
 * PHPExcel_Writer_Excel5_Parser
55
 *
56
 * @category   PHPExcel
57
 * @package    PHPExcel_Writer_Excel5
58
 * @copyright  Copyright (c) 2006 - 2013 PHPExcel (http://www.codeplex.com/PHPExcel)
59
 */
60
class PHPExcel_Writer_Excel5_Parser
61
{
62
	/**	Constants				*/
63
	// Sheet title in unquoted form
64
	// Invalid sheet title characters cannot occur in the sheet title:
65
	// 		*:/\?[]
66
	// Moreover, there are valid sheet title characters that cannot occur in unquoted form (there may be more?)
67
	// +-% '^&<>=,;#()"{}
68
	const REGEX_SHEET_TITLE_UNQUOTED = '[^\*\:\/\\\\\?\[\]\+\-\% \\\'\^\&\<\>\=\,\;\#\(\)\"\{\}]+';
69
 
70
	// Sheet title in quoted form (without surrounding quotes)
71
	// Invalid sheet title characters cannot occur in the sheet title:
72
	// *:/\?[]					(usual invalid sheet title characters)
73
	// Single quote is represented as a pair ''
74
	const REGEX_SHEET_TITLE_QUOTED = '(([^\*\:\/\\\\\?\[\]\\\'])+|(\\\'\\\')+)+';
75
 
76
	/**
77
	 * The index of the character we are currently looking at
78
	 * @var integer
79
	 */
80
	public $_current_char;
81
 
82
	/**
83
	 * The token we are working on.
84
	 * @var string
85
	 */
86
	public $_current_token;
87
 
88
	/**
89
	 * The formula to parse
90
	 * @var string
91
	 */
92
	public $_formula;
93
 
94
	/**
95
	 * The character ahead of the current char
96
	 * @var string
97
	 */
98
	public $_lookahead;
99
 
100
	/**
101
	 * The parse tree to be generated
102
	 * @var string
103
	 */
104
	public $_parse_tree;
105
 
106
	/**
107
	 * Array of external sheets
108
	 * @var array
109
	 */
110
	public $_ext_sheets;
111
 
112
	/**
113
	 * Array of sheet references in the form of REF structures
114
	 * @var array
115
	 */
116
	public $_references;
117
 
118
	/**
119
	 * The class constructor
120
	 *
121
	 */
122
	public function __construct()
123
	{
124
		$this->_current_char  = 0;
125
		$this->_current_token = '';       // The token we are working on.
126
		$this->_formula       = '';       // The formula to parse.
127
		$this->_lookahead     = '';       // The character ahead of the current char.
128
		$this->_parse_tree    = '';       // The parse tree to be generated.
129
		$this->_initializeHashes();      // Initialize the hashes: ptg's and function's ptg's
130
		$this->_ext_sheets = array();
131
		$this->_references = array();
132
	}
133
 
134
	/**
135
	 * Initialize the ptg and function hashes.
136
	 *
137
	 * @access private
138
	 */
139
	function _initializeHashes()
140
	{
141
		// The Excel ptg indices
142
		$this->ptg = array(
143
			'ptgExp'       => 0x01,
144
			'ptgTbl'       => 0x02,
145
			'ptgAdd'       => 0x03,
146
			'ptgSub'       => 0x04,
147
			'ptgMul'       => 0x05,
148
			'ptgDiv'       => 0x06,
149
			'ptgPower'     => 0x07,
150
			'ptgConcat'    => 0x08,
151
			'ptgLT'        => 0x09,
152
			'ptgLE'        => 0x0A,
153
			'ptgEQ'        => 0x0B,
154
			'ptgGE'        => 0x0C,
155
			'ptgGT'        => 0x0D,
156
			'ptgNE'        => 0x0E,
157
			'ptgIsect'     => 0x0F,
158
			'ptgUnion'     => 0x10,
159
			'ptgRange'     => 0x11,
160
			'ptgUplus'     => 0x12,
161
			'ptgUminus'    => 0x13,
162
			'ptgPercent'   => 0x14,
163
			'ptgParen'     => 0x15,
164
			'ptgMissArg'   => 0x16,
165
			'ptgStr'       => 0x17,
166
			'ptgAttr'      => 0x19,
167
			'ptgSheet'     => 0x1A,
168
			'ptgEndSheet'  => 0x1B,
169
			'ptgErr'       => 0x1C,
170
			'ptgBool'      => 0x1D,
171
			'ptgInt'       => 0x1E,
172
			'ptgNum'       => 0x1F,
173
			'ptgArray'     => 0x20,
174
			'ptgFunc'      => 0x21,
175
			'ptgFuncVar'   => 0x22,
176
			'ptgName'      => 0x23,
177
			'ptgRef'       => 0x24,
178
			'ptgArea'      => 0x25,
179
			'ptgMemArea'   => 0x26,
180
			'ptgMemErr'    => 0x27,
181
			'ptgMemNoMem'  => 0x28,
182
			'ptgMemFunc'   => 0x29,
183
			'ptgRefErr'    => 0x2A,
184
			'ptgAreaErr'   => 0x2B,
185
			'ptgRefN'      => 0x2C,
186
			'ptgAreaN'     => 0x2D,
187
			'ptgMemAreaN'  => 0x2E,
188
			'ptgMemNoMemN' => 0x2F,
189
			'ptgNameX'     => 0x39,
190
			'ptgRef3d'     => 0x3A,
191
			'ptgArea3d'    => 0x3B,
192
			'ptgRefErr3d'  => 0x3C,
193
			'ptgAreaErr3d' => 0x3D,
194
			'ptgArrayV'    => 0x40,
195
			'ptgFuncV'     => 0x41,
196
			'ptgFuncVarV'  => 0x42,
197
			'ptgNameV'     => 0x43,
198
			'ptgRefV'      => 0x44,
199
			'ptgAreaV'     => 0x45,
200
			'ptgMemAreaV'  => 0x46,
201
			'ptgMemErrV'   => 0x47,
202
			'ptgMemNoMemV' => 0x48,
203
			'ptgMemFuncV'  => 0x49,
204
			'ptgRefErrV'   => 0x4A,
205
			'ptgAreaErrV'  => 0x4B,
206
			'ptgRefNV'     => 0x4C,
207
			'ptgAreaNV'    => 0x4D,
208
			'ptgMemAreaNV' => 0x4E,
209
			'ptgMemNoMemN' => 0x4F,
210
			'ptgFuncCEV'   => 0x58,
211
			'ptgNameXV'    => 0x59,
212
			'ptgRef3dV'    => 0x5A,
213
			'ptgArea3dV'   => 0x5B,
214
			'ptgRefErr3dV' => 0x5C,
215
			'ptgAreaErr3d' => 0x5D,
216
			'ptgArrayA'    => 0x60,
217
			'ptgFuncA'     => 0x61,
218
			'ptgFuncVarA'  => 0x62,
219
			'ptgNameA'     => 0x63,
220
			'ptgRefA'      => 0x64,
221
			'ptgAreaA'     => 0x65,
222
			'ptgMemAreaA'  => 0x66,
223
			'ptgMemErrA'   => 0x67,
224
			'ptgMemNoMemA' => 0x68,
225
			'ptgMemFuncA'  => 0x69,
226
			'ptgRefErrA'   => 0x6A,
227
			'ptgAreaErrA'  => 0x6B,
228
			'ptgRefNA'     => 0x6C,
229
			'ptgAreaNA'    => 0x6D,
230
			'ptgMemAreaNA' => 0x6E,
231
			'ptgMemNoMemN' => 0x6F,
232
			'ptgFuncCEA'   => 0x78,
233
			'ptgNameXA'    => 0x79,
234
			'ptgRef3dA'    => 0x7A,
235
			'ptgArea3dA'   => 0x7B,
236
			'ptgRefErr3dA' => 0x7C,
237
			'ptgAreaErr3d' => 0x7D
238
			);
239
 
240
		// Thanks to Michael Meeks and Gnumeric for the initial arg values.
241
		//
242
		// The following hash was generated by "function_locale.pl" in the distro.
243
		// Refer to function_locale.pl for non-English function names.
244
		//
245
		// The array elements are as follow:
246
		// ptg:   The Excel function ptg code.
247
		// args:  The number of arguments that the function takes:
248
		//           >=0 is a fixed number of arguments.
249
		//           -1  is a variable  number of arguments.
250
		// class: The reference, value or array class of the function args.
251
		// vol:   The function is volatile.
252
		//
253
		$this->_functions = array(
254
			  // function                  ptg  args  class  vol
255
			  'COUNT'           => array(   0,   -1,    0,    0 ),
256
			  'IF'              => array(   1,   -1,    1,    0 ),
257
			  'ISNA'            => array(   2,    1,    1,    0 ),
258
			  'ISERROR'         => array(   3,    1,    1,    0 ),
259
			  'SUM'             => array(   4,   -1,    0,    0 ),
260
			  'AVERAGE'         => array(   5,   -1,    0,    0 ),
261
			  'MIN'             => array(   6,   -1,    0,    0 ),
262
			  'MAX'             => array(   7,   -1,    0,    0 ),
263
			  'ROW'             => array(   8,   -1,    0,    0 ),
264
			  'COLUMN'          => array(   9,   -1,    0,    0 ),
265
			  'NA'              => array(  10,    0,    0,    0 ),
266
			  'NPV'             => array(  11,   -1,    1,    0 ),
267
			  'STDEV'           => array(  12,   -1,    0,    0 ),
268
			  'DOLLAR'          => array(  13,   -1,    1,    0 ),
269
			  'FIXED'           => array(  14,   -1,    1,    0 ),
270
			  'SIN'             => array(  15,    1,    1,    0 ),
271
			  'COS'             => array(  16,    1,    1,    0 ),
272
			  'TAN'             => array(  17,    1,    1,    0 ),
273
			  'ATAN'            => array(  18,    1,    1,    0 ),
274
			  'PI'              => array(  19,    0,    1,    0 ),
275
			  'SQRT'            => array(  20,    1,    1,    0 ),
276
			  'EXP'             => array(  21,    1,    1,    0 ),
277
			  'LN'              => array(  22,    1,    1,    0 ),
278
			  'LOG10'           => array(  23,    1,    1,    0 ),
279
			  'ABS'             => array(  24,    1,    1,    0 ),
280
			  'INT'             => array(  25,    1,    1,    0 ),
281
			  'SIGN'            => array(  26,    1,    1,    0 ),
282
			  'ROUND'           => array(  27,    2,    1,    0 ),
283
			  'LOOKUP'          => array(  28,   -1,    0,    0 ),
284
			  'INDEX'           => array(  29,   -1,    0,    1 ),
285
			  'REPT'            => array(  30,    2,    1,    0 ),
286
			  'MID'             => array(  31,    3,    1,    0 ),
287
			  'LEN'             => array(  32,    1,    1,    0 ),
288
			  'VALUE'           => array(  33,    1,    1,    0 ),
289
			  'TRUE'            => array(  34,    0,    1,    0 ),
290
			  'FALSE'           => array(  35,    0,    1,    0 ),
291
			  'AND'             => array(  36,   -1,    0,    0 ),
292
			  'OR'              => array(  37,   -1,    0,    0 ),
293
			  'NOT'             => array(  38,    1,    1,    0 ),
294
			  'MOD'             => array(  39,    2,    1,    0 ),
295
			  'DCOUNT'          => array(  40,    3,    0,    0 ),
296
			  'DSUM'            => array(  41,    3,    0,    0 ),
297
			  'DAVERAGE'        => array(  42,    3,    0,    0 ),
298
			  'DMIN'            => array(  43,    3,    0,    0 ),
299
			  'DMAX'            => array(  44,    3,    0,    0 ),
300
			  'DSTDEV'          => array(  45,    3,    0,    0 ),
301
			  'VAR'             => array(  46,   -1,    0,    0 ),
302
			  'DVAR'            => array(  47,    3,    0,    0 ),
303
			  'TEXT'            => array(  48,    2,    1,    0 ),
304
			  'LINEST'          => array(  49,   -1,    0,    0 ),
305
			  'TREND'           => array(  50,   -1,    0,    0 ),
306
			  'LOGEST'          => array(  51,   -1,    0,    0 ),
307
			  'GROWTH'          => array(  52,   -1,    0,    0 ),
308
			  'PV'              => array(  56,   -1,    1,    0 ),
309
			  'FV'              => array(  57,   -1,    1,    0 ),
310
			  'NPER'            => array(  58,   -1,    1,    0 ),
311
			  'PMT'             => array(  59,   -1,    1,    0 ),
312
			  'RATE'            => array(  60,   -1,    1,    0 ),
313
			  'MIRR'            => array(  61,    3,    0,    0 ),
314
			  'IRR'             => array(  62,   -1,    0,    0 ),
315
			  'RAND'            => array(  63,    0,    1,    1 ),
316
			  'MATCH'           => array(  64,   -1,    0,    0 ),
317
			  'DATE'            => array(  65,    3,    1,    0 ),
318
			  'TIME'            => array(  66,    3,    1,    0 ),
319
			  'DAY'             => array(  67,    1,    1,    0 ),
320
			  'MONTH'           => array(  68,    1,    1,    0 ),
321
			  'YEAR'            => array(  69,    1,    1,    0 ),
322
			  'WEEKDAY'         => array(  70,   -1,    1,    0 ),
323
			  'HOUR'            => array(  71,    1,    1,    0 ),
324
			  'MINUTE'          => array(  72,    1,    1,    0 ),
325
			  'SECOND'          => array(  73,    1,    1,    0 ),
326
			  'NOW'             => array(  74,    0,    1,    1 ),
327
			  'AREAS'           => array(  75,    1,    0,    1 ),
328
			  'ROWS'            => array(  76,    1,    0,    1 ),
329
			  'COLUMNS'         => array(  77,    1,    0,    1 ),
330
			  'OFFSET'          => array(  78,   -1,    0,    1 ),
331
			  'SEARCH'          => array(  82,   -1,    1,    0 ),
332
			  'TRANSPOSE'       => array(  83,    1,    1,    0 ),
333
			  'TYPE'            => array(  86,    1,    1,    0 ),
334
			  'ATAN2'           => array(  97,    2,    1,    0 ),
335
			  'ASIN'            => array(  98,    1,    1,    0 ),
336
			  'ACOS'            => array(  99,    1,    1,    0 ),
337
			  'CHOOSE'          => array( 100,   -1,    1,    0 ),
338
			  'HLOOKUP'         => array( 101,   -1,    0,    0 ),
339
			  'VLOOKUP'         => array( 102,   -1,    0,    0 ),
340
			  'ISREF'           => array( 105,    1,    0,    0 ),
341
			  'LOG'             => array( 109,   -1,    1,    0 ),
342
			  'CHAR'            => array( 111,    1,    1,    0 ),
343
			  'LOWER'           => array( 112,    1,    1,    0 ),
344
			  'UPPER'           => array( 113,    1,    1,    0 ),
345
			  'PROPER'          => array( 114,    1,    1,    0 ),
346
			  'LEFT'            => array( 115,   -1,    1,    0 ),
347
			  'RIGHT'           => array( 116,   -1,    1,    0 ),
348
			  'EXACT'           => array( 117,    2,    1,    0 ),
349
			  'TRIM'            => array( 118,    1,    1,    0 ),
350
			  'REPLACE'         => array( 119,    4,    1,    0 ),
351
			  'SUBSTITUTE'      => array( 120,   -1,    1,    0 ),
352
			  'CODE'            => array( 121,    1,    1,    0 ),
353
			  'FIND'            => array( 124,   -1,    1,    0 ),
354
			  'CELL'            => array( 125,   -1,    0,    1 ),
355
			  'ISERR'           => array( 126,    1,    1,    0 ),
356
			  'ISTEXT'          => array( 127,    1,    1,    0 ),
357
			  'ISNUMBER'        => array( 128,    1,    1,    0 ),
358
			  'ISBLANK'         => array( 129,    1,    1,    0 ),
359
			  'T'               => array( 130,    1,    0,    0 ),
360
			  'N'               => array( 131,    1,    0,    0 ),
361
			  'DATEVALUE'       => array( 140,    1,    1,    0 ),
362
			  'TIMEVALUE'       => array( 141,    1,    1,    0 ),
363
			  'SLN'             => array( 142,    3,    1,    0 ),
364
			  'SYD'             => array( 143,    4,    1,    0 ),
365
			  'DDB'             => array( 144,   -1,    1,    0 ),
366
			  'INDIRECT'        => array( 148,   -1,    1,    1 ),
367
			  'CALL'            => array( 150,   -1,    1,    0 ),
368
			  'CLEAN'           => array( 162,    1,    1,    0 ),
369
			  'MDETERM'         => array( 163,    1,    2,    0 ),
370
			  'MINVERSE'        => array( 164,    1,    2,    0 ),
371
			  'MMULT'           => array( 165,    2,    2,    0 ),
372
			  'IPMT'            => array( 167,   -1,    1,    0 ),
373
			  'PPMT'            => array( 168,   -1,    1,    0 ),
374
			  'COUNTA'          => array( 169,   -1,    0,    0 ),
375
			  'PRODUCT'         => array( 183,   -1,    0,    0 ),
376
			  'FACT'            => array( 184,    1,    1,    0 ),
377
			  'DPRODUCT'        => array( 189,    3,    0,    0 ),
378
			  'ISNONTEXT'       => array( 190,    1,    1,    0 ),
379
			  'STDEVP'          => array( 193,   -1,    0,    0 ),
380
			  'VARP'            => array( 194,   -1,    0,    0 ),
381
			  'DSTDEVP'         => array( 195,    3,    0,    0 ),
382
			  'DVARP'           => array( 196,    3,    0,    0 ),
383
			  'TRUNC'           => array( 197,   -1,    1,    0 ),
384
			  'ISLOGICAL'       => array( 198,    1,    1,    0 ),
385
			  'DCOUNTA'         => array( 199,    3,    0,    0 ),
386
			  'USDOLLAR'        => array( 204,   -1,    1,    0 ),
387
			  'FINDB'           => array( 205,   -1,    1,    0 ),
388
			  'SEARCHB'         => array( 206,   -1,    1,    0 ),
389
			  'REPLACEB'        => array( 207,    4,    1,    0 ),
390
			  'LEFTB'           => array( 208,   -1,    1,    0 ),
391
			  'RIGHTB'          => array( 209,   -1,    1,    0 ),
392
			  'MIDB'            => array( 210,    3,    1,    0 ),
393
			  'LENB'            => array( 211,    1,    1,    0 ),
394
			  'ROUNDUP'         => array( 212,    2,    1,    0 ),
395
			  'ROUNDDOWN'       => array( 213,    2,    1,    0 ),
396
			  'ASC'             => array( 214,    1,    1,    0 ),
397
			  'DBCS'            => array( 215,    1,    1,    0 ),
398
			  'RANK'            => array( 216,   -1,    0,    0 ),
399
			  'ADDRESS'         => array( 219,   -1,    1,    0 ),
400
			  'DAYS360'         => array( 220,   -1,    1,    0 ),
401
			  'TODAY'           => array( 221,    0,    1,    1 ),
402
			  'VDB'             => array( 222,   -1,    1,    0 ),
403
			  'MEDIAN'          => array( 227,   -1,    0,    0 ),
404
			  'SUMPRODUCT'      => array( 228,   -1,    2,    0 ),
405
			  'SINH'            => array( 229,    1,    1,    0 ),
406
			  'COSH'            => array( 230,    1,    1,    0 ),
407
			  'TANH'            => array( 231,    1,    1,    0 ),
408
			  'ASINH'           => array( 232,    1,    1,    0 ),
409
			  'ACOSH'           => array( 233,    1,    1,    0 ),
410
			  'ATANH'           => array( 234,    1,    1,    0 ),
411
			  'DGET'            => array( 235,    3,    0,    0 ),
412
			  'INFO'            => array( 244,    1,    1,    1 ),
413
			  'DB'              => array( 247,   -1,    1,    0 ),
414
			  'FREQUENCY'       => array( 252,    2,    0,    0 ),
415
			  'ERROR.TYPE'      => array( 261,    1,    1,    0 ),
416
			  'REGISTER.ID'     => array( 267,   -1,    1,    0 ),
417
			  'AVEDEV'          => array( 269,   -1,    0,    0 ),
418
			  'BETADIST'        => array( 270,   -1,    1,    0 ),
419
			  'GAMMALN'         => array( 271,    1,    1,    0 ),
420
			  'BETAINV'         => array( 272,   -1,    1,    0 ),
421
			  'BINOMDIST'       => array( 273,    4,    1,    0 ),
422
			  'CHIDIST'         => array( 274,    2,    1,    0 ),
423
			  'CHIINV'          => array( 275,    2,    1,    0 ),
424
			  'COMBIN'          => array( 276,    2,    1,    0 ),
425
			  'CONFIDENCE'      => array( 277,    3,    1,    0 ),
426
			  'CRITBINOM'       => array( 278,    3,    1,    0 ),
427
			  'EVEN'            => array( 279,    1,    1,    0 ),
428
			  'EXPONDIST'       => array( 280,    3,    1,    0 ),
429
			  'FDIST'           => array( 281,    3,    1,    0 ),
430
			  'FINV'            => array( 282,    3,    1,    0 ),
431
			  'FISHER'          => array( 283,    1,    1,    0 ),
432
			  'FISHERINV'       => array( 284,    1,    1,    0 ),
433
			  'FLOOR'           => array( 285,    2,    1,    0 ),
434
			  'GAMMADIST'       => array( 286,    4,    1,    0 ),
435
			  'GAMMAINV'        => array( 287,    3,    1,    0 ),
436
			  'CEILING'         => array( 288,    2,    1,    0 ),
437
			  'HYPGEOMDIST'     => array( 289,    4,    1,    0 ),
438
			  'LOGNORMDIST'     => array( 290,    3,    1,    0 ),
439
			  'LOGINV'          => array( 291,    3,    1,    0 ),
440
			  'NEGBINOMDIST'    => array( 292,    3,    1,    0 ),
441
			  'NORMDIST'        => array( 293,    4,    1,    0 ),
442
			  'NORMSDIST'       => array( 294,    1,    1,    0 ),
443
			  'NORMINV'         => array( 295,    3,    1,    0 ),
444
			  'NORMSINV'        => array( 296,    1,    1,    0 ),
445
			  'STANDARDIZE'     => array( 297,    3,    1,    0 ),
446
			  'ODD'             => array( 298,    1,    1,    0 ),
447
			  'PERMUT'          => array( 299,    2,    1,    0 ),
448
			  'POISSON'         => array( 300,    3,    1,    0 ),
449
			  'TDIST'           => array( 301,    3,    1,    0 ),
450
			  'WEIBULL'         => array( 302,    4,    1,    0 ),
451
			  'SUMXMY2'         => array( 303,    2,    2,    0 ),
452
			  'SUMX2MY2'        => array( 304,    2,    2,    0 ),
453
			  'SUMX2PY2'        => array( 305,    2,    2,    0 ),
454
			  'CHITEST'         => array( 306,    2,    2,    0 ),
455
			  'CORREL'          => array( 307,    2,    2,    0 ),
456
			  'COVAR'           => array( 308,    2,    2,    0 ),
457
			  'FORECAST'        => array( 309,    3,    2,    0 ),
458
			  'FTEST'           => array( 310,    2,    2,    0 ),
459
			  'INTERCEPT'       => array( 311,    2,    2,    0 ),
460
			  'PEARSON'         => array( 312,    2,    2,    0 ),
461
			  'RSQ'             => array( 313,    2,    2,    0 ),
462
			  'STEYX'           => array( 314,    2,    2,    0 ),
463
			  'SLOPE'           => array( 315,    2,    2,    0 ),
464
			  'TTEST'           => array( 316,    4,    2,    0 ),
465
			  'PROB'            => array( 317,   -1,    2,    0 ),
466
			  'DEVSQ'           => array( 318,   -1,    0,    0 ),
467
			  'GEOMEAN'         => array( 319,   -1,    0,    0 ),
468
			  'HARMEAN'         => array( 320,   -1,    0,    0 ),
469
			  'SUMSQ'           => array( 321,   -1,    0,    0 ),
470
			  'KURT'            => array( 322,   -1,    0,    0 ),
471
			  'SKEW'            => array( 323,   -1,    0,    0 ),
472
			  'ZTEST'           => array( 324,   -1,    0,    0 ),
473
			  'LARGE'           => array( 325,    2,    0,    0 ),
474
			  'SMALL'           => array( 326,    2,    0,    0 ),
475
			  'QUARTILE'        => array( 327,    2,    0,    0 ),
476
			  'PERCENTILE'      => array( 328,    2,    0,    0 ),
477
			  'PERCENTRANK'     => array( 329,   -1,    0,    0 ),
478
			  'MODE'            => array( 330,   -1,    2,    0 ),
479
			  'TRIMMEAN'        => array( 331,    2,    0,    0 ),
480
			  'TINV'            => array( 332,    2,    1,    0 ),
481
			  'CONCATENATE'     => array( 336,   -1,    1,    0 ),
482
			  'POWER'           => array( 337,    2,    1,    0 ),
483
			  'RADIANS'         => array( 342,    1,    1,    0 ),
484
			  'DEGREES'         => array( 343,    1,    1,    0 ),
485
			  'SUBTOTAL'        => array( 344,   -1,    0,    0 ),
486
			  'SUMIF'           => array( 345,   -1,    0,    0 ),
487
			  'COUNTIF'         => array( 346,    2,    0,    0 ),
488
			  'COUNTBLANK'      => array( 347,    1,    0,    0 ),
489
			  'ISPMT'           => array( 350,    4,    1,    0 ),
490
			  'DATEDIF'         => array( 351,    3,    1,    0 ),
491
			  'DATESTRING'      => array( 352,    1,    1,    0 ),
492
			  'NUMBERSTRING'    => array( 353,    2,    1,    0 ),
493
			  'ROMAN'           => array( 354,   -1,    1,    0 ),
494
			  'GETPIVOTDATA'    => array( 358,   -1,    0,    0 ),
495
			  'HYPERLINK'       => array( 359,   -1,    1,    0 ),
496
			  'PHONETIC'        => array( 360,    1,    0,    0 ),
497
			  'AVERAGEA'        => array( 361,   -1,    0,    0 ),
498
			  'MAXA'            => array( 362,   -1,    0,    0 ),
499
			  'MINA'            => array( 363,   -1,    0,    0 ),
500
			  'STDEVPA'         => array( 364,   -1,    0,    0 ),
501
			  'VARPA'           => array( 365,   -1,    0,    0 ),
502
			  'STDEVA'          => array( 366,   -1,    0,    0 ),
503
			  'VARA'            => array( 367,   -1,    0,    0 ),
504
			  'BAHTTEXT'        => array( 368,    1,    0,    0 ),
505
			  );
506
	}
507
 
508
	/**
509
	 * Convert a token to the proper ptg value.
510
	 *
511
	 * @access private
512
	 * @param mixed $token The token to convert.
513
	 * @return mixed the converted token on success
514
	 */
515
	function _convert($token)
516
	{
517
		if (preg_match("/\"([^\"]|\"\"){0,255}\"/", $token)) {
518
			return $this->_convertString($token);
519
 
520
		} elseif (is_numeric($token)) {
521
			return $this->_convertNumber($token);
522
 
523
		// match references like A1 or $A$1
524
		} elseif (preg_match('/^\$?([A-Ia-i]?[A-Za-z])\$?(\d+)$/',$token)) {
525
			return $this->_convertRef2d($token);
526
 
527
		// match external references like Sheet1!A1 or Sheet1:Sheet2!A1 or Sheet1!$A$1 or Sheet1:Sheet2!$A$1
528
		} elseif (preg_match("/^" . self::REGEX_SHEET_TITLE_UNQUOTED . "(\:" . self::REGEX_SHEET_TITLE_UNQUOTED . ")?\!\\$?[A-Ia-i]?[A-Za-z]\\$?(\d+)$/u",$token)) {
529
			return $this->_convertRef3d($token);
530
 
531
		// match external references like 'Sheet1'!A1 or 'Sheet1:Sheet2'!A1 or 'Sheet1'!$A$1 or 'Sheet1:Sheet2'!$A$1
532
		} elseif (preg_match("/^'" . self::REGEX_SHEET_TITLE_QUOTED . "(\:" . self::REGEX_SHEET_TITLE_QUOTED . ")?'\!\\$?[A-Ia-i]?[A-Za-z]\\$?(\d+)$/u",$token)) {
533
			return $this->_convertRef3d($token);
534
 
535
		// match ranges like A1:B2 or $A$1:$B$2
536
		} elseif (preg_match('/^(\$)?[A-Ia-i]?[A-Za-z](\$)?(\d+)\:(\$)?[A-Ia-i]?[A-Za-z](\$)?(\d+)$/', $token)) {
537
			return $this->_convertRange2d($token);
538
 
539
		// match external ranges like Sheet1!A1:B2 or Sheet1:Sheet2!A1:B2 or Sheet1!$A$1:$B$2 or Sheet1:Sheet2!$A$1:$B$2
540
		} elseif (preg_match("/^" . self::REGEX_SHEET_TITLE_UNQUOTED . "(\:" . self::REGEX_SHEET_TITLE_UNQUOTED . ")?\!\\$?([A-Ia-i]?[A-Za-z])?\\$?(\d+)\:\\$?([A-Ia-i]?[A-Za-z])?\\$?(\d+)$/u",$token)) {
541
			return $this->_convertRange3d($token);
542
 
543
		// match external ranges like 'Sheet1'!A1:B2 or 'Sheet1:Sheet2'!A1:B2 or 'Sheet1'!$A$1:$B$2 or 'Sheet1:Sheet2'!$A$1:$B$2
544
		} elseif (preg_match("/^'" . self::REGEX_SHEET_TITLE_QUOTED . "(\:" . self::REGEX_SHEET_TITLE_QUOTED . ")?'\!\\$?([A-Ia-i]?[A-Za-z])?\\$?(\d+)\:\\$?([A-Ia-i]?[A-Za-z])?\\$?(\d+)$/u",$token)) {
545
			return $this->_convertRange3d($token);
546
 
547
		// operators (including parentheses)
548
		} elseif (isset($this->ptg[$token])) {
549
			return pack("C", $this->ptg[$token]);
550
 
551
        // match error codes
552
		} elseif (preg_match("/^#[A-Z0\/]{3,5}[!?]{1}$/", $token) or $token == '#N/A') {
553
		    return $this->_convertError($token);
554
 
555
		// commented so argument number can be processed correctly. See toReversePolish().
556
		/*elseif (preg_match("/[A-Z0-9\xc0-\xdc\.]+/",$token))
557
		{
558
			return($this->_convertFunction($token,$this->_func_args));
559
		}*/
560
 
561
		// if it's an argument, ignore the token (the argument remains)
562
		} elseif ($token == 'arg') {
563
			return '';
564
		}
565
 
566
		// TODO: use real error codes
567
		throw new PHPExcel_Writer_Exception("Unknown token $token");
568
	}
569
 
570
	/**
571
	 * Convert a number token to ptgInt or ptgNum
572
	 *
573
	 * @access private
574
	 * @param mixed $num an integer or double for conversion to its ptg value
575
	 */
576
	function _convertNumber($num)
577
	{
578
		// Integer in the range 0..2**16-1
579
		if ((preg_match("/^\d+$/", $num)) and ($num <= 65535)) {
580
			return pack("Cv", $this->ptg['ptgInt'], $num);
581
		} else { // A float
582
			if (PHPExcel_Writer_Excel5_BIFFwriter::getByteOrder()) { // if it's Big Endian
583
				$num = strrev($num);
584
			}
585
			return pack("Cd", $this->ptg['ptgNum'], $num);
586
		}
587
	}
588
 
589
	/**
590
	 * Convert a string token to ptgStr
591
	 *
592
	 * @access private
593
	 * @param string $string A string for conversion to its ptg value.
594
	 * @return mixed the converted token on success
595
	 */
596
	function _convertString($string)
597
	{
598
		// chop away beggining and ending quotes
599
		$string = substr($string, 1, strlen($string) - 2);
600
		if (strlen($string) > 255) {
601
			throw new PHPExcel_Writer_Exception("String is too long");
602
		}
603
 
604
		return pack('C', $this->ptg['ptgStr']) . PHPExcel_Shared_String::UTF8toBIFF8UnicodeShort($string);
605
	}
606
 
607
	/**
608
	 * Convert a function to a ptgFunc or ptgFuncVarV depending on the number of
609
	 * args that it takes.
610
	 *
611
	 * @access private
612
	 * @param string  $token    The name of the function for convertion to ptg value.
613
	 * @param integer $num_args The number of arguments the function receives.
614
	 * @return string The packed ptg for the function
615
	 */
616
	function _convertFunction($token, $num_args)
617
	{
618
		$args     = $this->_functions[$token][1];
619
//		$volatile = $this->_functions[$token][3];
620
 
621
		// Fixed number of args eg. TIME($i,$j,$k).
622
		if ($args >= 0) {
623
			return pack("Cv", $this->ptg['ptgFuncV'], $this->_functions[$token][0]);
624
		}
625
		// Variable number of args eg. SUM($i,$j,$k, ..).
626
		if ($args == -1) {
627
			return pack("CCv", $this->ptg['ptgFuncVarV'], $num_args, $this->_functions[$token][0]);
628
		}
629
	}
630
 
631
	/**
632
	 * Convert an Excel range such as A1:D4 to a ptgRefV.
633
	 *
634
	 * @access private
635
	 * @param string	$range	An Excel range in the A1:A2
636
	 * @param int		$class
637
	 */
638
	function _convertRange2d($range, $class=0)
639
	{
640
 
641
		// TODO: possible class value 0,1,2 check Formula.pm
642
		// Split the range into 2 cell refs
643
		if (preg_match('/^(\$)?([A-Ia-i]?[A-Za-z])(\$)?(\d+)\:(\$)?([A-Ia-i]?[A-Za-z])(\$)?(\d+)$/', $range)) {
644
			list($cell1, $cell2) = explode(':', $range);
645
		} else {
646
			// TODO: use real error codes
647
			throw new PHPExcel_Writer_Exception("Unknown range separator");
648
		}
649
 
650
		// Convert the cell references
651
		list($row1, $col1) = $this->_cellToPackedRowcol($cell1);
652
		list($row2, $col2) = $this->_cellToPackedRowcol($cell2);
653
 
654
		// The ptg value depends on the class of the ptg.
655
		if ($class == 0) {
656
			$ptgArea = pack("C", $this->ptg['ptgArea']);
657
		} elseif ($class == 1) {
658
			$ptgArea = pack("C", $this->ptg['ptgAreaV']);
659
		} elseif ($class == 2) {
660
			$ptgArea = pack("C", $this->ptg['ptgAreaA']);
661
		} else {
662
			// TODO: use real error codes
663
			throw new PHPExcel_Writer_Exception("Unknown class $class");
664
		}
665
		return $ptgArea . $row1 . $row2 . $col1. $col2;
666
	}
667
 
668
	/**
669
	 * Convert an Excel 3d range such as "Sheet1!A1:D4" or "Sheet1:Sheet2!A1:D4" to
670
	 * a ptgArea3d.
671
	 *
672
	 * @access private
673
	 * @param string $token An Excel range in the Sheet1!A1:A2 format.
674
	 * @return mixed The packed ptgArea3d token on success.
675
	 */
676
	function _convertRange3d($token)
677
	{
678
//		$class = 0; // formulas like Sheet1!$A$1:$A$2 in list type data validation need this class (0x3B)
679
 
680
		// Split the ref at the ! symbol
681
		list($ext_ref, $range) = explode('!', $token);
682
 
683
		// Convert the external reference part (different for BIFF8)
684
		$ext_ref = $this->_getRefIndex($ext_ref);
685
 
686
		// Split the range into 2 cell refs
687
		list($cell1, $cell2) = explode(':', $range);
688
 
689
		// Convert the cell references
690
		if (preg_match("/^(\\$)?[A-Ia-i]?[A-Za-z](\\$)?(\d+)$/", $cell1)) {
691
			list($row1, $col1) = $this->_cellToPackedRowcol($cell1);
692
			list($row2, $col2) = $this->_cellToPackedRowcol($cell2);
693
		} else { // It's a rows range (like 26:27)
694
			 list($row1, $col1, $row2, $col2) = $this->_rangeToPackedRange($cell1.':'.$cell2);
695
		}
696
 
697
		// The ptg value depends on the class of the ptg.
698
//		if ($class == 0) {
699
			$ptgArea = pack("C", $this->ptg['ptgArea3d']);
700
//		} elseif ($class == 1) {
701
//			$ptgArea = pack("C", $this->ptg['ptgArea3dV']);
702
//		} elseif ($class == 2) {
703
//			$ptgArea = pack("C", $this->ptg['ptgArea3dA']);
704
//		} else {
705
//			throw new PHPExcel_Writer_Exception("Unknown class $class");
706
//		}
707
 
708
		return $ptgArea . $ext_ref . $row1 . $row2 . $col1. $col2;
709
	}
710
 
711
	/**
712
	 * Convert an Excel reference such as A1, $B2, C$3 or $D$4 to a ptgRefV.
713
	 *
714
	 * @access private
715
	 * @param string $cell An Excel cell reference
716
	 * @return string The cell in packed() format with the corresponding ptg
717
	 */
718
	function _convertRef2d($cell)
719
	{
720
//		$class = 2; // as far as I know, this is magick.
721
 
722
		// Convert the cell reference
723
		$cell_array = $this->_cellToPackedRowcol($cell);
724
		list($row, $col) = $cell_array;
725
 
726
		// The ptg value depends on the class of the ptg.
727
//		if ($class == 0) {
728
//			$ptgRef = pack("C", $this->ptg['ptgRef']);
729
//		} elseif ($class == 1) {
730
//			$ptgRef = pack("C", $this->ptg['ptgRefV']);
731
//		} elseif ($class == 2) {
732
			$ptgRef = pack("C", $this->ptg['ptgRefA']);
733
//		} else {
734
//			// TODO: use real error codes
735
//			throw new PHPExcel_Writer_Exception("Unknown class $class");
736
//		}
737
		return $ptgRef.$row.$col;
738
	}
739
 
740
	/**
741
	 * Convert an Excel 3d reference such as "Sheet1!A1" or "Sheet1:Sheet2!A1" to a
742
	 * ptgRef3d.
743
	 *
744
	 * @access private
745
	 * @param string $cell An Excel cell reference
746
	 * @return mixed The packed ptgRef3d token on success.
747
	 */
748
	function _convertRef3d($cell)
749
	{
750
//		$class = 2; // as far as I know, this is magick.
751
 
752
		// Split the ref at the ! symbol
753
		list($ext_ref, $cell) = explode('!', $cell);
754
 
755
		// Convert the external reference part (different for BIFF8)
756
		$ext_ref = $this->_getRefIndex($ext_ref);
757
 
758
		// Convert the cell reference part
759
		list($row, $col) = $this->_cellToPackedRowcol($cell);
760
 
761
		// The ptg value depends on the class of the ptg.
762
//		if ($class == 0) {
763
//			$ptgRef = pack("C", $this->ptg['ptgRef3d']);
764
//		} elseif ($class == 1) {
765
//			$ptgRef = pack("C", $this->ptg['ptgRef3dV']);
766
//		} elseif ($class == 2) {
767
			$ptgRef = pack("C", $this->ptg['ptgRef3dA']);
768
//		} else {
769
//			throw new PHPExcel_Writer_Exception("Unknown class $class");
770
//		}
771
 
772
		return $ptgRef . $ext_ref. $row . $col;
773
	}
774
 
775
    /**
776
     * Convert an error code to a ptgErr
777
     *
778
     * @access	private
779
	 * @param	string	$errorCode	The error code for conversion to its ptg value
780
     * @return	string				The error code ptgErr
781
     */
782
    function _convertError($errorCode)
783
    {
784
		switch ($errorCode) {
785
			case '#NULL!':	return pack("C", 0x00);
786
			case '#DIV/0!':	return pack("C", 0x07);
787
			case '#VALUE!':	return pack("C", 0x0F);
788
			case '#REF!':	return pack("C", 0x17);
789
			case '#NAME?':	return pack("C", 0x1D);
790
			case '#NUM!':	return pack("C", 0x24);
791
			case '#N/A':	return pack("C", 0x2A);
792
		}
793
		return pack("C", 0xFF);
794
    }
795
 
796
	/**
797
	 * Convert the sheet name part of an external reference, for example "Sheet1" or
798
	 * "Sheet1:Sheet2", to a packed structure.
799
	 *
800
	 * @access	private
801
	 * @param	string	$ext_ref	The name of the external reference
802
	 * @return	string				The reference index in packed() format
803
	 */
804
	function _packExtRef($ext_ref)
805
	{
806
		$ext_ref = preg_replace("/^'/", '', $ext_ref); // Remove leading  ' if any.
807
		$ext_ref = preg_replace("/'$/", '', $ext_ref); // Remove trailing ' if any.
808
 
809
		// Check if there is a sheet range eg., Sheet1:Sheet2.
810
		if (preg_match("/:/", $ext_ref)) {
811
			list($sheet_name1, $sheet_name2) = explode(':', $ext_ref);
812
 
813
			$sheet1 = $this->_getSheetIndex($sheet_name1);
814
			if ($sheet1 == -1) {
815
				throw new PHPExcel_Writer_Exception("Unknown sheet name $sheet_name1 in formula");
816
			}
817
			$sheet2 = $this->_getSheetIndex($sheet_name2);
818
			if ($sheet2 == -1) {
819
				throw new PHPExcel_Writer_Exception("Unknown sheet name $sheet_name2 in formula");
820
			}
821
 
822
			// Reverse max and min sheet numbers if necessary
823
			if ($sheet1 > $sheet2) {
824
				list($sheet1, $sheet2) = array($sheet2, $sheet1);
825
			}
826
		} else { // Single sheet name only.
827
			$sheet1 = $this->_getSheetIndex($ext_ref);
828
			if ($sheet1 == -1) {
829
				throw new PHPExcel_Writer_Exception("Unknown sheet name $ext_ref in formula");
830
			}
831
			$sheet2 = $sheet1;
832
		}
833
 
834
		// References are stored relative to 0xFFFF.
835
		$offset = -1 - $sheet1;
836
 
837
		return pack('vdvv', $offset, 0x00, $sheet1, $sheet2);
838
	}
839
 
840
	/**
841
	 * Look up the REF index that corresponds to an external sheet name
842
	 * (or range). If it doesn't exist yet add it to the workbook's references
843
	 * array. It assumes all sheet names given must exist.
844
	 *
845
	 * @access private
846
	 * @param string $ext_ref The name of the external reference
847
	 * @return mixed The reference index in packed() format on success
848
	 */
849
	function _getRefIndex($ext_ref)
850
	{
851
		$ext_ref = preg_replace("/^'/", '', $ext_ref); // Remove leading  ' if any.
852
		$ext_ref = preg_replace("/'$/", '', $ext_ref); // Remove trailing ' if any.
853
		$ext_ref = str_replace('\'\'', '\'', $ext_ref); // Replace escaped '' with '
854
 
855
		// Check if there is a sheet range eg., Sheet1:Sheet2.
856
		if (preg_match("/:/", $ext_ref)) {
857
			list($sheet_name1, $sheet_name2) = explode(':', $ext_ref);
858
 
859
			$sheet1 = $this->_getSheetIndex($sheet_name1);
860
			if ($sheet1 == -1) {
861
				throw new PHPExcel_Writer_Exception("Unknown sheet name $sheet_name1 in formula");
862
			}
863
			$sheet2 = $this->_getSheetIndex($sheet_name2);
864
			if ($sheet2 == -1) {
865
				throw new PHPExcel_Writer_Exception("Unknown sheet name $sheet_name2 in formula");
866
			}
867
 
868
			// Reverse max and min sheet numbers if necessary
869
			if ($sheet1 > $sheet2) {
870
				list($sheet1, $sheet2) = array($sheet2, $sheet1);
871
			}
872
		} else { // Single sheet name only.
873
			$sheet1 = $this->_getSheetIndex($ext_ref);
874
			if ($sheet1 == -1) {
875
				throw new PHPExcel_Writer_Exception("Unknown sheet name $ext_ref in formula");
876
			}
877
			$sheet2 = $sheet1;
878
		}
879
 
880
		// assume all references belong to this document
881
		$supbook_index = 0x00;
882
		$ref = pack('vvv', $supbook_index, $sheet1, $sheet2);
883
		$total_references = count($this->_references);
884
		$index = -1;
885
		for ($i = 0; $i < $total_references; ++$i) {
886
			if ($ref == $this->_references[$i]) {
887
				$index = $i;
888
				break;
889
			}
890
		}
891
		// if REF was not found add it to references array
892
		if ($index == -1) {
893
			$this->_references[$total_references] = $ref;
894
			$index = $total_references;
895
		}
896
 
897
		return pack('v', $index);
898
	}
899
 
900
	/**
901
	 * Look up the index that corresponds to an external sheet name. The hash of
902
	 * sheet names is updated by the addworksheet() method of the
903
	 * PHPExcel_Writer_Excel5_Workbook class.
904
	 *
905
	 * @access	private
906
	 * @param	string	$sheet_name		Sheet name
907
	 * @return	integer					The sheet index, -1 if the sheet was not found
908
	 */
909
	function _getSheetIndex($sheet_name)
910
	{
911
		if (!isset($this->_ext_sheets[$sheet_name])) {
912
			return -1;
913
		} else {
914
			return $this->_ext_sheets[$sheet_name];
915
		}
916
	}
917
 
918
	/**
919
	 * This method is used to update the array of sheet names. It is
920
	 * called by the addWorksheet() method of the
921
	 * PHPExcel_Writer_Excel5_Workbook class.
922
	 *
923
	 * @access public
924
	 * @see PHPExcel_Writer_Excel5_Workbook::addWorksheet()
925
	 * @param string  $name  The name of the worksheet being added
926
	 * @param integer $index The index of the worksheet being added
927
	 */
928
	function setExtSheet($name, $index)
929
	{
930
		$this->_ext_sheets[$name] = $index;
931
	}
932
 
933
	/**
934
	 * pack() row and column into the required 3 or 4 byte format.
935
	 *
936
	 * @access private
937
	 * @param string $cell The Excel cell reference to be packed
938
	 * @return array Array containing the row and column in packed() format
939
	 */
940
	function _cellToPackedRowcol($cell)
941
	{
942
		$cell = strtoupper($cell);
943
		list($row, $col, $row_rel, $col_rel) = $this->_cellToRowcol($cell);
944
		if ($col >= 256) {
945
			throw new PHPExcel_Writer_Exception("Column in: $cell greater than 255");
946
		}
947
		if ($row >= 65536) {
948
			throw new PHPExcel_Writer_Exception("Row in: $cell greater than 65536 ");
949
		}
950
 
951
		// Set the high bits to indicate if row or col are relative.
952
		$col |= $col_rel << 14;
953
		$col |= $row_rel << 15;
954
		$col = pack('v', $col);
955
 
956
		$row = pack('v', $row);
957
 
958
		return array($row, $col);
959
	}
960
 
961
	/**
962
	 * pack() row range into the required 3 or 4 byte format.
963
	 * Just using maximum col/rows, which is probably not the correct solution
964
	 *
965
	 * @access private
966
	 * @param string $range The Excel range to be packed
967
	 * @return array Array containing (row1,col1,row2,col2) in packed() format
968
	 */
969
	function _rangeToPackedRange($range)
970
	{
971
		preg_match('/(\$)?(\d+)\:(\$)?(\d+)/', $range, $match);
972
		// return absolute rows if there is a $ in the ref
973
		$row1_rel = empty($match[1]) ? 1 : 0;
974
		$row1     = $match[2];
975
		$row2_rel = empty($match[3]) ? 1 : 0;
976
		$row2     = $match[4];
977
		// Convert 1-index to zero-index
978
		--$row1;
979
		--$row2;
980
		// Trick poor inocent Excel
981
		$col1 = 0;
982
		$col2 = 65535; // FIXME: maximum possible value for Excel 5 (change this!!!)
983
 
984
		// FIXME: this changes for BIFF8
985
		if (($row1 >= 65536) or ($row2 >= 65536)) {
986
			throw new PHPExcel_Writer_Exception("Row in: $range greater than 65536 ");
987
		}
988
 
989
		// Set the high bits to indicate if rows are relative.
990
		$col1 |= $row1_rel << 15;
991
		$col2 |= $row2_rel << 15;
992
		$col1 = pack('v', $col1);
993
		$col2 = pack('v', $col2);
994
 
995
		$row1 = pack('v', $row1);
996
		$row2 = pack('v', $row2);
997
 
998
		return array($row1, $col1, $row2, $col2);
999
	}
1000
 
1001
	/**
1002
	 * Convert an Excel cell reference such as A1 or $B2 or C$3 or $D$4 to a zero
1003
	 * indexed row and column number. Also returns two (0,1) values to indicate
1004
	 * whether the row or column are relative references.
1005
	 *
1006
	 * @access private
1007
	 * @param string $cell The Excel cell reference in A1 format.
1008
	 * @return array
1009
	 */
1010
	function _cellToRowcol($cell)
1011
	{
1012
		preg_match('/(\$)?([A-I]?[A-Z])(\$)?(\d+)/',$cell,$match);
1013
		// return absolute column if there is a $ in the ref
1014
		$col_rel = empty($match[1]) ? 1 : 0;
1015
		$col_ref = $match[2];
1016
		$row_rel = empty($match[3]) ? 1 : 0;
1017
		$row     = $match[4];
1018
 
1019
		// Convert base26 column string to a number.
1020
		$expn   = strlen($col_ref) - 1;
1021
		$col    = 0;
1022
		$col_ref_length = strlen($col_ref);
1023
		for ($i = 0; $i < $col_ref_length; ++$i) {
1024
			$col += (ord($col_ref{$i}) - 64) * pow(26, $expn);
1025
			--$expn;
1026
		}
1027
 
1028
		// Convert 1-index to zero-index
1029
		--$row;
1030
		--$col;
1031
 
1032
		return array($row, $col, $row_rel, $col_rel);
1033
	}
1034
 
1035
	/**
1036
	 * Advance to the next valid token.
1037
	 *
1038
	 * @access private
1039
	 */
1040
	function _advance()
1041
	{
1042
		$i = $this->_current_char;
1043
		$formula_length = strlen($this->_formula);
1044
		// eat up white spaces
1045
		if ($i < $formula_length) {
1046
			while ($this->_formula{$i} == " ") {
1047
				++$i;
1048
			}
1049
 
1050
			if ($i < ($formula_length - 1)) {
1051
				$this->_lookahead = $this->_formula{$i+1};
1052
			}
1053
			$token = '';
1054
		}
1055
 
1056
		while ($i < $formula_length) {
1057
			$token .= $this->_formula{$i};
1058
 
1059
			if ($i < ($formula_length - 1)) {
1060
				$this->_lookahead = $this->_formula{$i+1};
1061
			} else {
1062
				$this->_lookahead = '';
1063
			}
1064
 
1065
			if ($this->_match($token) != '') {
1066
				//if ($i < strlen($this->_formula) - 1) {
1067
				//    $this->_lookahead = $this->_formula{$i+1};
1068
				//}
1069
				$this->_current_char = $i + 1;
1070
				$this->_current_token = $token;
1071
				return 1;
1072
			}
1073
 
1074
			if ($i < ($formula_length - 2)) {
1075
				$this->_lookahead = $this->_formula{$i+2};
1076
			} else { // if we run out of characters _lookahead becomes empty
1077
				$this->_lookahead = '';
1078
			}
1079
			++$i;
1080
		}
1081
		//die("Lexical error ".$this->_current_char);
1082
	}
1083
 
1084
	/**
1085
	 * Checks if it's a valid token.
1086
	 *
1087
	 * @access private
1088
	 * @param mixed $token The token to check.
1089
	 * @return mixed       The checked token or false on failure
1090
	 */
1091
	function _match($token)
1092
	{
1093
		switch($token) {
1094
			case "+":
1095
			case "-":
1096
			case "*":
1097
			case "/":
1098
			case "(":
1099
			case ")":
1100
			case ",":
1101
			case ";":
1102
			case ">=":
1103
			case "<=":
1104
			case "=":
1105
			case "<>":
1106
			case "^":
1107
			case "&":
1108
			case "%":
1109
				return $token;
1110
				break;
1111
			case ">":
1112
				if ($this->_lookahead == '=') { // it's a GE token
1113
					break;
1114
				}
1115
				return $token;
1116
				break;
1117
			case "<":
1118
				// it's a LE or a NE token
1119
				if (($this->_lookahead == '=') or ($this->_lookahead == '>')) {
1120
					break;
1121
				}
1122
				return $token;
1123
				break;
1124
			default:
1125
				// if it's a reference A1 or $A$1 or $A1 or A$1
1126
				if (preg_match('/^\$?[A-Ia-i]?[A-Za-z]\$?[0-9]+$/',$token) and
1127
				   !preg_match("/[0-9]/",$this->_lookahead) and
1128
				   ($this->_lookahead != ':') and ($this->_lookahead != '.') and
1129
				   ($this->_lookahead != '!'))
1130
				{
1131
					return $token;
1132
				}
1133
				// If it's an external reference (Sheet1!A1 or Sheet1:Sheet2!A1 or Sheet1!$A$1 or Sheet1:Sheet2!$A$1)
1134
				elseif (preg_match("/^" . self::REGEX_SHEET_TITLE_UNQUOTED . "(\:" . self::REGEX_SHEET_TITLE_UNQUOTED . ")?\!\\$?[A-Ia-i]?[A-Za-z]\\$?[0-9]+$/u",$token) and
1135
					   !preg_match("/[0-9]/",$this->_lookahead) and
1136
					   ($this->_lookahead != ':') and ($this->_lookahead != '.'))
1137
				{
1138
					return $token;
1139
				}
1140
				// If it's an external reference ('Sheet1'!A1 or 'Sheet1:Sheet2'!A1 or 'Sheet1'!$A$1 or 'Sheet1:Sheet2'!$A$1)
1141
				elseif (preg_match("/^'" . self::REGEX_SHEET_TITLE_QUOTED . "(\:" . self::REGEX_SHEET_TITLE_QUOTED . ")?'\!\\$?[A-Ia-i]?[A-Za-z]\\$?[0-9]+$/u",$token) and
1142
					   !preg_match("/[0-9]/",$this->_lookahead) and
1143
					   ($this->_lookahead != ':') and ($this->_lookahead != '.'))
1144
				{
1145
					return $token;
1146
				}
1147
				// if it's a range A1:A2 or $A$1:$A$2
1148
				elseif (preg_match('/^(\$)?[A-Ia-i]?[A-Za-z](\$)?[0-9]+:(\$)?[A-Ia-i]?[A-Za-z](\$)?[0-9]+$/', $token) and
1149
					   !preg_match("/[0-9]/",$this->_lookahead))
1150
				{
1151
					return $token;
1152
				}
1153
				// If it's an external range like Sheet1!A1:B2 or Sheet1:Sheet2!A1:B2 or Sheet1!$A$1:$B$2 or Sheet1:Sheet2!$A$1:$B$2
1154
				elseif (preg_match("/^" . self::REGEX_SHEET_TITLE_UNQUOTED . "(\:" . self::REGEX_SHEET_TITLE_UNQUOTED . ")?\!\\$?([A-Ia-i]?[A-Za-z])?\\$?[0-9]+:\\$?([A-Ia-i]?[A-Za-z])?\\$?[0-9]+$/u",$token) and
1155
					   !preg_match("/[0-9]/",$this->_lookahead))
1156
				{
1157
					return $token;
1158
				}
1159
				// If it's an external range like 'Sheet1'!A1:B2 or 'Sheet1:Sheet2'!A1:B2 or 'Sheet1'!$A$1:$B$2 or 'Sheet1:Sheet2'!$A$1:$B$2
1160
				elseif (preg_match("/^'" . self::REGEX_SHEET_TITLE_QUOTED . "(\:" . self::REGEX_SHEET_TITLE_QUOTED . ")?'\!\\$?([A-Ia-i]?[A-Za-z])?\\$?[0-9]+:\\$?([A-Ia-i]?[A-Za-z])?\\$?[0-9]+$/u",$token) and
1161
					   !preg_match("/[0-9]/",$this->_lookahead))
1162
				{
1163
					return $token;
1164
				}
1165
				// If it's a number (check that it's not a sheet name or range)
1166
				elseif (is_numeric($token) and
1167
						(!is_numeric($token.$this->_lookahead) or ($this->_lookahead == '')) and
1168
						($this->_lookahead != '!') and ($this->_lookahead != ':'))
1169
				{
1170
					return $token;
1171
				}
1172
				// If it's a string (of maximum 255 characters)
1173
				elseif (preg_match("/\"([^\"]|\"\"){0,255}\"/",$token) and $this->_lookahead != '"' and (substr_count($token, '"')%2 == 0))
1174
				{
1175
					return $token;
1176
				}
1177
			    // If it's an error code
1178
			    elseif (preg_match("/^#[A-Z0\/]{3,5}[!?]{1}$/", $token) or $token == '#N/A')
1179
			    {
1180
			        return $token;
1181
			    }
1182
				// if it's a function call
1183
				elseif (preg_match("/^[A-Z0-9\xc0-\xdc\.]+$/i",$token) and ($this->_lookahead == "("))
1184
				{
1185
					return $token;
1186
				}
1187
				//	It's an argument of some description (e.g. a named range),
1188
				//		precise nature yet to be determined
1189
				elseif(substr($token,-1) == ')') {
1190
					return $token;
1191
				}
1192
				return '';
1193
		}
1194
	}
1195
 
1196
	/**
1197
	 * The parsing method. It parses a formula.
1198
	 *
1199
	 * @access public
1200
	 * @param string $formula The formula to parse, without the initial equal
1201
	 *                        sign (=).
1202
	 * @return mixed true on success
1203
	 */
1204
	function parse($formula)
1205
	{
1206
		$this->_current_char = 0;
1207
		$this->_formula      = $formula;
1208
		$this->_lookahead    = isset($formula{1}) ? $formula{1} : '';
1209
		$this->_advance();
1210
		$this->_parse_tree   = $this->_condition();
1211
		return true;
1212
	}
1213
 
1214
	/**
1215
	 * It parses a condition. It assumes the following rule:
1216
	 * Cond -> Expr [(">" | "<") Expr]
1217
	 *
1218
	 * @access private
1219
	 * @return mixed The parsed ptg'd tree on success
1220
	 */
1221
	function _condition()
1222
	{
1223
		$result = $this->_expression();
1224
		if ($this->_current_token == "<") {
1225
			$this->_advance();
1226
			$result2 = $this->_expression();
1227
			$result = $this->_createTree('ptgLT', $result, $result2);
1228
		} elseif ($this->_current_token == ">") {
1229
			$this->_advance();
1230
			$result2 = $this->_expression();
1231
			$result = $this->_createTree('ptgGT', $result, $result2);
1232
		} elseif ($this->_current_token == "<=") {
1233
			$this->_advance();
1234
			$result2 = $this->_expression();
1235
			$result = $this->_createTree('ptgLE', $result, $result2);
1236
		} elseif ($this->_current_token == ">=") {
1237
			$this->_advance();
1238
			$result2 = $this->_expression();
1239
			$result = $this->_createTree('ptgGE', $result, $result2);
1240
		} elseif ($this->_current_token == "=") {
1241
			$this->_advance();
1242
			$result2 = $this->_expression();
1243
			$result = $this->_createTree('ptgEQ', $result, $result2);
1244
		} elseif ($this->_current_token == "<>") {
1245
			$this->_advance();
1246
			$result2 = $this->_expression();
1247
			$result = $this->_createTree('ptgNE', $result, $result2);
1248
		} elseif ($this->_current_token == "&") {
1249
		    $this->_advance();
1250
		    $result2 = $this->_expression();
1251
		    $result = $this->_createTree('ptgConcat', $result, $result2);
1252
		}
1253
		return $result;
1254
	}
1255
 
1256
	/**
1257
	 * It parses a expression. It assumes the following rule:
1258
	 * Expr -> Term [("+" | "-") Term]
1259
	 *      -> "string"
1260
	 *      -> "-" Term : Negative value
1261
	 *      -> "+" Term : Positive value
1262
	 *      -> Error code
1263
	 *
1264
	 * @access private
1265
	 * @return mixed The parsed ptg'd tree on success
1266
	 */
1267
	function _expression()
1268
	{
1269
		// If it's a string return a string node
1270
		if (preg_match("/\"([^\"]|\"\"){0,255}\"/", $this->_current_token)) {
1271
			$tmp = str_replace('""', '"', $this->_current_token);
1272
			if (($tmp == '"') || ($tmp == '')) $tmp = '""';	//	Trap for "" that has been used for an empty string
1273
			$result = $this->_createTree($tmp, '', '');
1274
			$this->_advance();
1275
			return $result;
1276
        // If it's an error code
1277
        } elseif (preg_match("/^#[A-Z0\/]{3,5}[!?]{1}$/", $this->_current_token) or $this->_current_token == '#N/A'){
1278
		    $result = $this->_createTree($this->_current_token, 'ptgErr', '');
1279
		    $this->_advance();
1280
		    return $result;
1281
		// If it's a negative value
1282
        } elseif ($this->_current_token == "-") {
1283
			// catch "-" Term
1284
			$this->_advance();
1285
			$result2 = $this->_expression();
1286
			$result = $this->_createTree('ptgUminus', $result2, '');
1287
			return $result;
1288
        // If it's a positive value
1289
		} elseif ($this->_current_token == "+") {
1290
			// catch "+" Term
1291
			$this->_advance();
1292
			$result2 = $this->_expression();
1293
			$result = $this->_createTree('ptgUplus', $result2, '');
1294
			return $result;
1295
		}
1296
		$result = $this->_term();
1297
		while (($this->_current_token == "+") or
1298
			   ($this->_current_token == "-") or
1299
			   ($this->_current_token == "^")) {
1300
		/**/
1301
			if ($this->_current_token == "+") {
1302
				$this->_advance();
1303
				$result2 = $this->_term();
1304
				$result = $this->_createTree('ptgAdd', $result, $result2);
1305
			} elseif ($this->_current_token == "-") {
1306
				$this->_advance();
1307
				$result2 = $this->_term();
1308
				$result = $this->_createTree('ptgSub', $result, $result2);
1309
			} else {
1310
				$this->_advance();
1311
				$result2 = $this->_term();
1312
				$result = $this->_createTree('ptgPower', $result, $result2);
1313
			}
1314
		}
1315
		return $result;
1316
	}
1317
 
1318
	/**
1319
	 * This function just introduces a ptgParen element in the tree, so that Excel
1320
	 * doesn't get confused when working with a parenthesized formula afterwards.
1321
	 *
1322
	 * @access private
1323
	 * @see _fact()
1324
	 * @return array The parsed ptg'd tree
1325
	 */
1326
	function _parenthesizedExpression()
1327
	{
1328
		$result = $this->_createTree('ptgParen', $this->_expression(), '');
1329
		return $result;
1330
	}
1331
 
1332
	/**
1333
	 * It parses a term. It assumes the following rule:
1334
	 * Term -> Fact [("*" | "/") Fact]
1335
	 *
1336
	 * @access private
1337
	 * @return mixed The parsed ptg'd tree on success
1338
	 */
1339
	function _term()
1340
	{
1341
		$result = $this->_fact();
1342
		while (($this->_current_token == "*") or
1343
			   ($this->_current_token == "/")) {
1344
		/**/
1345
			if ($this->_current_token == "*") {
1346
				$this->_advance();
1347
				$result2 = $this->_fact();
1348
				$result = $this->_createTree('ptgMul', $result, $result2);
1349
			} else {
1350
				$this->_advance();
1351
				$result2 = $this->_fact();
1352
				$result = $this->_createTree('ptgDiv', $result, $result2);
1353
			}
1354
		}
1355
		return $result;
1356
	}
1357
 
1358
	/**
1359
	 * It parses a factor. It assumes the following rule:
1360
	 * Fact -> ( Expr )
1361
	 *       | CellRef
1362
	 *       | CellRange
1363
	 *       | Number
1364
	 *       | Function
1365
	 *
1366
	 * @access private
1367
	 * @return mixed The parsed ptg'd tree on success
1368
	 */
1369
	function _fact()
1370
	{
1371
		if ($this->_current_token == "(") {
1372
			$this->_advance();         // eat the "("
1373
			$result = $this->_parenthesizedExpression();
1374
			if ($this->_current_token != ")") {
1375
				throw new PHPExcel_Writer_Exception("')' token expected.");
1376
			}
1377
			$this->_advance();         // eat the ")"
1378
			return $result;
1379
		}
1380
		// if it's a reference
1381
		if (preg_match('/^\$?[A-Ia-i]?[A-Za-z]\$?[0-9]+$/',$this->_current_token))
1382
		{
1383
			$result = $this->_createTree($this->_current_token, '', '');
1384
			$this->_advance();
1385
			return $result;
1386
		}
1387
		// If it's an external reference (Sheet1!A1 or Sheet1:Sheet2!A1 or Sheet1!$A$1 or Sheet1:Sheet2!$A$1)
1388
		elseif (preg_match("/^" . self::REGEX_SHEET_TITLE_UNQUOTED . "(\:" . self::REGEX_SHEET_TITLE_UNQUOTED . ")?\!\\$?[A-Ia-i]?[A-Za-z]\\$?[0-9]+$/u",$this->_current_token))
1389
		{
1390
			$result = $this->_createTree($this->_current_token, '', '');
1391
			$this->_advance();
1392
			return $result;
1393
		}
1394
		// If it's an external reference ('Sheet1'!A1 or 'Sheet1:Sheet2'!A1 or 'Sheet1'!$A$1 or 'Sheet1:Sheet2'!$A$1)
1395
		elseif (preg_match("/^'" . self::REGEX_SHEET_TITLE_QUOTED . "(\:" . self::REGEX_SHEET_TITLE_QUOTED . ")?'\!\\$?[A-Ia-i]?[A-Za-z]\\$?[0-9]+$/u",$this->_current_token))
1396
		{
1397
			$result = $this->_createTree($this->_current_token, '', '');
1398
			$this->_advance();
1399
			return $result;
1400
		}
1401
		// if it's a range A1:B2 or $A$1:$B$2
1402
		elseif (preg_match('/^(\$)?[A-Ia-i]?[A-Za-z](\$)?[0-9]+:(\$)?[A-Ia-i]?[A-Za-z](\$)?[0-9]+$/',$this->_current_token) or
1403
				preg_match('/^(\$)?[A-Ia-i]?[A-Za-z](\$)?[0-9]+\.\.(\$)?[A-Ia-i]?[A-Za-z](\$)?[0-9]+$/',$this->_current_token))
1404
		{
1405
			// must be an error?
1406
			$result = $this->_createTree($this->_current_token, '', '');
1407
			$this->_advance();
1408
			return $result;
1409
		}
1410
		// If it's an external range (Sheet1!A1:B2 or Sheet1:Sheet2!A1:B2 or Sheet1!$A$1:$B$2 or Sheet1:Sheet2!$A$1:$B$2)
1411
		elseif (preg_match("/^" . self::REGEX_SHEET_TITLE_UNQUOTED . "(\:" . self::REGEX_SHEET_TITLE_UNQUOTED . ")?\!\\$?([A-Ia-i]?[A-Za-z])?\\$?[0-9]+:\\$?([A-Ia-i]?[A-Za-z])?\\$?[0-9]+$/u",$this->_current_token))
1412
		{
1413
			// must be an error?
1414
			//$result = $this->_current_token;
1415
			$result = $this->_createTree($this->_current_token, '', '');
1416
			$this->_advance();
1417
			return $result;
1418
		}
1419
		// If it's an external range ('Sheet1'!A1:B2 or 'Sheet1'!A1:B2 or 'Sheet1'!$A$1:$B$2 or 'Sheet1'!$A$1:$B$2)
1420
		elseif (preg_match("/^'" . self::REGEX_SHEET_TITLE_QUOTED . "(\:" . self::REGEX_SHEET_TITLE_QUOTED . ")?'\!\\$?([A-Ia-i]?[A-Za-z])?\\$?[0-9]+:\\$?([A-Ia-i]?[A-Za-z])?\\$?[0-9]+$/u",$this->_current_token))
1421
		{
1422
			// must be an error?
1423
			//$result = $this->_current_token;
1424
			$result = $this->_createTree($this->_current_token, '', '');
1425
			$this->_advance();
1426
			return $result;
1427
		}
1428
		// If it's a number or a percent
1429
		elseif (is_numeric($this->_current_token))
1430
		{
1431
		    if($this->_lookahead == '%'){
1432
		        $result = $this->_createTree('ptgPercent', $this->_current_token, '');
1433
		    } else {
1434
		        $result = $this->_createTree($this->_current_token, '', '');
1435
		    }
1436
		    $this->_advance();
1437
		    return $result;
1438
		}
1439
		// if it's a function call
1440
		elseif (preg_match("/^[A-Z0-9\xc0-\xdc\.]+$/i",$this->_current_token))
1441
		{
1442
			$result = $this->_func();
1443
			return $result;
1444
		}
1445
		throw new PHPExcel_Writer_Exception("Syntax error: ".$this->_current_token.
1446
								 ", lookahead: ".$this->_lookahead.
1447
								 ", current char: ".$this->_current_char);
1448
	}
1449
 
1450
	/**
1451
	 * It parses a function call. It assumes the following rule:
1452
	 * Func -> ( Expr [,Expr]* )
1453
	 *
1454
	 * @access private
1455
	 * @return mixed The parsed ptg'd tree on success
1456
	 */
1457
	function _func()
1458
	{
1459
		$num_args = 0; // number of arguments received
1460
		$function = strtoupper($this->_current_token);
1461
		$result   = ''; // initialize result
1462
		$this->_advance();
1463
		$this->_advance();         // eat the "("
1464
		while ($this->_current_token != ')') {
1465
		/**/
1466
			if ($num_args > 0) {
1467
				if ($this->_current_token == "," or
1468
					$this->_current_token == ";")
1469
				{
1470
					$this->_advance();  // eat the "," or ";"
1471
				} else {
1472
					throw new PHPExcel_Writer_Exception("Syntax error: comma expected in ".
1473
									  "function $function, arg #{$num_args}");
1474
				}
1475
				$result2 = $this->_condition();
1476
				$result = $this->_createTree('arg', $result, $result2);
1477
			} else { // first argument
1478
				$result2 = $this->_condition();
1479
				$result = $this->_createTree('arg', '', $result2);
1480
			}
1481
			++$num_args;
1482
		}
1483
		if (!isset($this->_functions[$function])) {
1484
			throw new PHPExcel_Writer_Exception("Function $function() doesn't exist");
1485
		}
1486
		$args = $this->_functions[$function][1];
1487
		// If fixed number of args eg. TIME($i,$j,$k). Check that the number of args is valid.
1488
		if (($args >= 0) and ($args != $num_args)) {
1489
			throw new PHPExcel_Writer_Exception("Incorrect number of arguments in function $function() ");
1490
		}
1491
 
1492
		$result = $this->_createTree($function, $result, $num_args);
1493
		$this->_advance();         // eat the ")"
1494
		return $result;
1495
	}
1496
 
1497
	/**
1498
	 * Creates a tree. In fact an array which may have one or two arrays (sub-trees)
1499
	 * as elements.
1500
	 *
1501
	 * @access private
1502
	 * @param mixed $value The value of this node.
1503
	 * @param mixed $left  The left array (sub-tree) or a final node.
1504
	 * @param mixed $right The right array (sub-tree) or a final node.
1505
	 * @return array A tree
1506
	 */
1507
	function _createTree($value, $left, $right)
1508
	{
1509
		return array('value' => $value, 'left' => $left, 'right' => $right);
1510
	}
1511
 
1512
	/**
1513
	 * Builds a string containing the tree in reverse polish notation (What you
1514
	 * would use in a HP calculator stack).
1515
	 * The following tree:
1516
	 *
1517
	 *    +
1518
	 *   / \
1519
	 *  2   3
1520
	 *
1521
	 * produces: "23+"
1522
	 *
1523
	 * The following tree:
1524
	 *
1525
	 *    +
1526
	 *   / \
1527
	 *  3   *
1528
	 *     / \
1529
	 *    6   A1
1530
	 *
1531
	 * produces: "36A1*+"
1532
	 *
1533
	 * In fact all operands, functions, references, etc... are written as ptg's
1534
	 *
1535
	 * @access public
1536
	 * @param array $tree The optional tree to convert.
1537
	 * @return string The tree in reverse polish notation
1538
	 */
1539
	function toReversePolish($tree = array())
1540
	{
1541
		$polish = ""; // the string we are going to return
1542
		if (empty($tree)) { // If it's the first call use _parse_tree
1543
			$tree = $this->_parse_tree;
1544
		}
1545
 
1546
		if (is_array($tree['left'])) {
1547
			$converted_tree = $this->toReversePolish($tree['left']);
1548
			$polish .= $converted_tree;
1549
		} elseif ($tree['left'] != '') { // It's a final node
1550
			$converted_tree = $this->_convert($tree['left']);
1551
			$polish .= $converted_tree;
1552
		}
1553
		if (is_array($tree['right'])) {
1554
			$converted_tree = $this->toReversePolish($tree['right']);
1555
			$polish .= $converted_tree;
1556
		} elseif ($tree['right'] != '') { // It's a final node
1557
			$converted_tree = $this->_convert($tree['right']);
1558
			$polish .= $converted_tree;
1559
		}
1560
		// if it's a function convert it here (so we can set it's arguments)
1561
		if (preg_match("/^[A-Z0-9\xc0-\xdc\.]+$/",$tree['value']) and
1562
			!preg_match('/^([A-Ia-i]?[A-Za-z])(\d+)$/',$tree['value']) and
1563
			!preg_match("/^[A-Ia-i]?[A-Za-z](\d+)\.\.[A-Ia-i]?[A-Za-z](\d+)$/",$tree['value']) and
1564
			!is_numeric($tree['value']) and
1565
			!isset($this->ptg[$tree['value']]))
1566
		{
1567
			// left subtree for a function is always an array.
1568
			if ($tree['left'] != '') {
1569
				$left_tree = $this->toReversePolish($tree['left']);
1570
			} else {
1571
				$left_tree = '';
1572
			}
1573
			// add it's left subtree and return.
1574
			return $left_tree.$this->_convertFunction($tree['value'], $tree['right']);
1575
		} else {
1576
			$converted_tree = $this->_convert($tree['value']);
1577
		}
1578
		$polish .= $converted_tree;
1579
		return $polish;
1580
	}
1581
 
1582
}