| | 1 | # coding=utf-8 |
| | 2 | """ |
| | 3 | Word contents (DEPRECATED) |
| | 4 | |
| | 5 | .. note:: |
| | 6 | |
| | 7 | This module will be deleted in a future version of Sage. Most of the |
| | 8 | commands here have been already deleted; only the commands needed for |
| | 9 | unpickling word objects saved with older versions of Sage (pre 4.1) have |
| | 10 | been kept (for now). |
| | 11 | |
| | 12 | """ |
| | 13 | #***************************************************************************** |
| | 14 | # Copyright (C) 2008 Arnaud Bergeron <abergeron@gmail.com>, |
| | 15 | # |
| | 16 | # Distributed under the terms of the GNU General Public License version 2 (GPLv2) |
| | 17 | # |
| | 18 | # The full text of the GPLv2 is available at: |
| | 19 | # |
| | 20 | # http://www.gnu.org/licenses/ |
| | 21 | #***************************************************************************** |
| | 22 | from itertools import imap, izip, count |
| | 23 | from sage.rings.infinity import Infinity |
| | 24 | from sage.combinat.words.utils import * |
| | 25 | |
| | 26 | def BuildWordContent(obj, mapping=id_f, format=None, part=slice(None)): |
| | 27 | r""" |
| | 28 | Builds the content for a word. |
| | 29 | |
| | 30 | INPUT: |
| | 31 | |
| | 32 | |
| | 33 | - ``obj`` - a function, an iterator or a list, |
| | 34 | potentially with a length defined |
| | 35 | |
| | 36 | - ``mapping`` - function, a map sending elements of |
| | 37 | the iterable to nonnegative integers. |
| | 38 | |
| | 39 | - ``format`` - string (default None), the explicit |
| | 40 | type of obj. Can be either 'empty', 'list', 'function' or |
| | 41 | 'iterator'. If set to None (the default), the type will be guessed |
| | 42 | from the properties of obj. |
| | 43 | |
| | 44 | - ``part`` - slice (default slice(None)), the portion |
| | 45 | of the object to use |
| | 46 | |
| | 47 | |
| | 48 | OUTPUT: |
| | 49 | |
| | 50 | |
| | 51 | - ``word content`` - an object respecting the word |
| | 52 | content protocol wrapping obj |
| | 53 | |
| | 54 | |
| | 55 | TESTS:: |
| | 56 | |
| | 57 | sage: from sage.combinat.words.word_content import BuildWordContent |
| | 58 | sage: from itertools import count, imap, repeat |
| | 59 | sage: len(BuildWordContent(None)) |
| | 60 | doctest:...: DeprecationWarning: WordContentFromList is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 61 | doctest:...: DeprecationWarning: WordContentFromList is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 62 | 0 |
| | 63 | sage: len(BuildWordContent(None, format='empty')) |
| | 64 | 0 |
| | 65 | sage: c = BuildWordContent(['a', 'b'], format='empty') |
| | 66 | Traceback (most recent call last): |
| | 67 | ... |
| | 68 | TypeError: trying to build an empty word with something other than None |
| | 69 | sage: len(BuildWordContent(['0', '1', '1'], int)) |
| | 70 | doctest:...: DeprecationWarning: WordContentFromList is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 71 | 3 |
| | 72 | sage: len(BuildWordContent(['0', '1', '1'], int, format='list')) |
| | 73 | 3 |
| | 74 | sage: BuildWordContent(10, format='list') |
| | 75 | Traceback (most recent call last): |
| | 76 | ... |
| | 77 | TypeError: trying to build a word backed by a list with a sequence not providing the required operations |
| | 78 | sage: c = BuildWordContent(lambda x: x%2) |
| | 79 | doctest:...: DeprecationWarning: WordContentFromFunction is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 80 | doctest:...: DeprecationWarning: WordContentFromFunction is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 81 | sage: len(BuildWordContent(lambda x: x%3, part=slice(0,10))) |
| | 82 | 10 |
| | 83 | sage: c = BuildWordContent(repeat(1)) |
| | 84 | doctest:...: DeprecationWarning: WordContentFromIterator is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 85 | doctest:...: DeprecationWarning: WordContentFromIterator is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 86 | sage: len(BuildWordContent(count(), part=slice(10))) |
| | 87 | 10 |
| | 88 | sage: len(BuildWordContent(count(), part=slice(10, 0, -2))) |
| | 89 | doctest:...: DeprecationWarning: WordContentFromList is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 90 | 5 |
| | 91 | """ |
| | 92 | if format is None: |
| | 93 | if isinstance(obj, WordContent): |
| | 94 | return obj[part] |
| | 95 | elif obj is None: |
| | 96 | format = 'empty' |
| | 97 | elif is_iterable(obj): |
| | 98 | if haslen(obj): |
| | 99 | format = 'list' |
| | 100 | else: |
| | 101 | format = 'iterator' |
| | 102 | elif callable(obj): |
| | 103 | format = 'function' |
| | 104 | else: |
| | 105 | pass # Don't set format if we don't know |
| | 106 | |
| | 107 | if format == 'empty': |
| | 108 | if obj is not None: |
| | 109 | raise TypeError, "trying to build an empty word with something other than None" |
| | 110 | return WordContentFromList((), mapping)[part] |
| | 111 | elif format == 'list' or format == 'string': |
| | 112 | if not (is_iterable(obj) and haslen(obj)): |
| | 113 | raise TypeError, "trying to build a word backed by a list with a sequence not providing the required operations" |
| | 114 | return WordContentFromList(obj, mapping)[part] |
| | 115 | elif format == 'function': |
| | 116 | if not callable(obj): |
| | 117 | raise TypeError, "trying to build a word backed by a function with a non-callable" |
| | 118 | return WordContentFromFunction(obj, mapping)[part] |
| | 119 | elif format == 'iterator': |
| | 120 | if not is_iterable(obj): |
| | 121 | raise TypeError, "trying to build a word backed by an iterator with a non-iterable" |
| | 122 | return WordContentFromIterator(obj, mapping)[part] |
| | 123 | raise NotImplementedError |
| | 124 | |
| | 125 | def is_WordContent(obj): |
| | 126 | r""" |
| | 127 | Returns True if obj is the content of a word. |
| | 128 | |
| | 129 | EXAMPLES:: |
| | 130 | |
| | 131 | sage: from sage.combinat.words.word_content import BuildWordContent, is_WordContent |
| | 132 | sage: is_WordContent(33) |
| | 133 | False |
| | 134 | sage: is_WordContent(BuildWordContent([0, 1, 0], lambda x : x)) |
| | 135 | True |
| | 136 | """ |
| | 137 | return isinstance(obj, WordContent) |
| | 138 | |
| | 139 | class WordContent(object): |
| | 140 | def __cmp__(self, other): |
| | 141 | r""" |
| | 142 | Compares two contents according to the data they contain. |
| | 143 | |
| | 144 | The types of the contents doesn't matter. |
| | 145 | |
| | 146 | TESTS:: |
| | 147 | |
| | 148 | sage: c1 = sage.combinat.words.word_content.WordContentFromList([1, 2, 1, 1]) |
| | 149 | doctest:...: DeprecationWarning: WordContentFromList is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 150 | sage: c2 = sage.combinat.words.word_content.WordContentFromList([1, 2, 3]) |
| | 151 | sage: c3 = sage.combinat.words.word_content.WordContentFromList([1, 4]) |
| | 152 | sage: c2.__cmp__(c1) > 0 |
| | 153 | True |
| | 154 | sage: c2.__cmp__(c2) == 0 |
| | 155 | True |
| | 156 | sage: c2.__cmp__(c3) < 0 |
| | 157 | True |
| | 158 | """ |
| | 159 | if not is_WordContent(other): |
| | 160 | return NotImplemented |
| | 161 | if haslen(self) and haslen(other): |
| | 162 | for (i, j) in izip(self, other): |
| | 163 | if i != j: |
| | 164 | return i - j |
| | 165 | return len(self) - len(other) |
| | 166 | return NotImplemented |
| | 167 | |
| | 168 | def concatenate(self, other): |
| | 169 | r""" |
| | 170 | Method to concatenate two contents together. |
| | 171 | |
| | 172 | TESTS:: |
| | 173 | |
| | 174 | sage: from sage.combinat.words.word_content import BuildWordContent |
| | 175 | sage: list(BuildWordContent([1]).concatenate(BuildWordContent([2, 3, 4]))) |
| | 176 | doctest:...: DeprecationWarning: ConcatenateContent is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 177 | [1, 2, 3, 4] |
| | 178 | """ |
| | 179 | if not (haslen(self) and haslen(other)): |
| | 180 | raise ValueError, "cannot concatenate infinite words" |
| | 181 | return ConcatenateContent(self._get_list() + other._get_list()) |
| | 182 | |
| | 183 | def _get_list(self): |
| | 184 | r""" |
| | 185 | Returns self as a list of contents suitable for concatenate |
| | 186 | |
| | 187 | TESTS:: |
| | 188 | |
| | 189 | sage: type(sage.combinat.words.word_content.BuildWordContent([1, 2, 3])._get_list()) |
| | 190 | <type 'tuple'> |
| | 191 | """ |
| | 192 | return (self,) |
| | 193 | |
| | 194 | def _check_getitem_args(self, key): |
| | 195 | r""" |
| | 196 | Does all the type and range checking for the key argument to |
| | 197 | __getitem__(). Also takes care of normalizing the ranges |
| | 198 | specified by slicing to values suitable for xrange() or similar in |
| | 199 | the finite case. In the infinite case a stop value of None, will |
| | 200 | stay as None since no end can be defined. |
| | 201 | |
| | 202 | TESTS: Generic Cases |
| | 203 | |
| | 204 | :: |
| | 205 | |
| | 206 | sage: w = sage.combinat.words.word_content.WordContent() |
| | 207 | sage: w._check_getitem_args(1) |
| | 208 | 1 |
| | 209 | sage: w._check_getitem_args("abc") |
| | 210 | Traceback (most recent call last): |
| | 211 | ... |
| | 212 | TypeError: word indices must be integers |
| | 213 | sage: w._check_getitem_args(slice(1, 2, 3)) |
| | 214 | slice(1, 2, 3) |
| | 215 | sage: w._check_getitem_args(slice("a")) |
| | 216 | Traceback (most recent call last): |
| | 217 | ... |
| | 218 | TypeError: word indices must be integers |
| | 219 | sage: w._check_getitem_args(slice("a", 1)) |
| | 220 | Traceback (most recent call last): |
| | 221 | ... |
| | 222 | TypeError: word indices must be integers |
| | 223 | sage: w._check_getitem_args(slice(1, 1, "a")) |
| | 224 | Traceback (most recent call last): |
| | 225 | ... |
| | 226 | TypeError: word indices must be integers |
| | 227 | |
| | 228 | Finite Cases |
| | 229 | |
| | 230 | :: |
| | 231 | |
| | 232 | sage: f = sage.combinat.words.word_content.WordContentFromList(range(10)) |
| | 233 | doctest:...: DeprecationWarning: WordContentFromList is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 234 | sage: f._check_getitem_args(slice(None, None, None)) |
| | 235 | slice(0, 10, 1) |
| | 236 | sage: f._check_getitem_args(slice(None, 0, None)) |
| | 237 | slice(0, 0, 1) |
| | 238 | sage: f._check_getitem_args(slice(None, 1, None)) |
| | 239 | slice(0, 1, 1) |
| | 240 | sage: f._check_getitem_args(slice(None, -1, None)) |
| | 241 | slice(0, 9, 1) |
| | 242 | sage: f._check_getitem_args(slice(None, 11, None)) |
| | 243 | slice(0, 10, 1) |
| | 244 | sage: f._check_getitem_args(slice(None, 10, None)) |
| | 245 | slice(0, 10, 1) |
| | 246 | sage: f._check_getitem_args(slice(None, 9, None)) |
| | 247 | slice(0, 9, 1) |
| | 248 | sage: f._check_getitem_args(slice(None, -9, None)) |
| | 249 | slice(0, 1, 1) |
| | 250 | sage: f._check_getitem_args(slice(None, -10, None)) |
| | 251 | slice(0, 0, 1) |
| | 252 | sage: f._check_getitem_args(slice(None, -11, None)) |
| | 253 | slice(0, 0, 1) |
| | 254 | sage: f._check_getitem_args(slice(0, None, None)) |
| | 255 | slice(0, 10, 1) |
| | 256 | sage: f._check_getitem_args(slice(1, None, None)) |
| | 257 | slice(1, 10, 1) |
| | 258 | sage: f._check_getitem_args(slice(-1, None, None)) |
| | 259 | slice(9, 10, 1) |
| | 260 | sage: f._check_getitem_args(slice(11, None, None)) |
| | 261 | slice(10, 10, 1) |
| | 262 | sage: f._check_getitem_args(slice(10, None, None)) |
| | 263 | slice(10, 10, 1) |
| | 264 | sage: f._check_getitem_args(slice(9, None, None)) |
| | 265 | slice(9, 10, 1) |
| | 266 | sage: f._check_getitem_args(slice(-9, None, None)) |
| | 267 | slice(1, 10, 1) |
| | 268 | sage: f._check_getitem_args(slice(-10, None, None)) |
| | 269 | slice(0, 10, 1) |
| | 270 | sage: f._check_getitem_args(slice(-11, None, None)) |
| | 271 | slice(0, 10, 1) |
| | 272 | sage: f._check_getitem_args(slice(None, None, -1)) |
| | 273 | slice(9, -1, -1) |
| | 274 | sage: f._check_getitem_args(slice(None, 0, -1)) |
| | 275 | slice(9, 0, -1) |
| | 276 | sage: f._check_getitem_args(slice(None, 1, -1)) |
| | 277 | slice(9, 1, -1) |
| | 278 | sage: f._check_getitem_args(slice(None, -1, -1)) |
| | 279 | slice(9, 9, -1) |
| | 280 | sage: f._check_getitem_args(slice(None, 11, -1)) |
| | 281 | slice(9, 9, -1) |
| | 282 | sage: f._check_getitem_args(slice(None, 10, -1)) |
| | 283 | slice(9, 9, -1) |
| | 284 | sage: f._check_getitem_args(slice(None, 9, -1)) |
| | 285 | slice(9, 9, -1) |
| | 286 | sage: f._check_getitem_args(slice(None, -10, -1)) |
| | 287 | slice(9, 0, -1) |
| | 288 | sage: f._check_getitem_args(slice(None, -11, -1)) |
| | 289 | slice(9, -1, -1) |
| | 290 | sage: f._check_getitem_args(slice(None, -12, -1)) |
| | 291 | slice(9, -1, -1) |
| | 292 | sage: f._check_getitem_args(slice(0, None, -1)) |
| | 293 | slice(0, -1, -1) |
| | 294 | sage: f._check_getitem_args(slice(1, None, -1)) |
| | 295 | slice(1, -1, -1) |
| | 296 | sage: f._check_getitem_args(slice(-1, None, -1)) |
| | 297 | slice(9, -1, -1) |
| | 298 | sage: f._check_getitem_args(slice(10, None, -1)) |
| | 299 | slice(9, -1, -1) |
| | 300 | sage: f._check_getitem_args(slice(9, None, -1)) |
| | 301 | slice(9, -1, -1) |
| | 302 | sage: f._check_getitem_args(slice(8, None, -1)) |
| | 303 | slice(8, -1, -1) |
| | 304 | sage: f._check_getitem_args(slice(-10, None, -1)) |
| | 305 | slice(0, -1, -1) |
| | 306 | sage: f._check_getitem_args(slice(-11, None, -1)) |
| | 307 | slice(-1, -1, -1) |
| | 308 | sage: f._check_getitem_args(slice(-12, None, -1)) |
| | 309 | slice(-1, -1, -1) |
| | 310 | sage: f._check_getitem_args(slice(None, None, 0)) |
| | 311 | Traceback (most recent call last): |
| | 312 | ... |
| | 313 | ValueError: slice step cannot be zero |
| | 314 | sage: f._check_getitem_args(9) |
| | 315 | 9 |
| | 316 | sage: f._check_getitem_args(10) |
| | 317 | Traceback (most recent call last): |
| | 318 | ... |
| | 319 | IndexError: word index out of range |
| | 320 | sage: f._check_getitem_args(0) |
| | 321 | 0 |
| | 322 | sage: f._check_getitem_args(-1) |
| | 323 | 9 |
| | 324 | sage: f._check_getitem_args(-10) |
| | 325 | 0 |
| | 326 | sage: f._check_getitem_args(-11) |
| | 327 | Traceback (most recent call last): |
| | 328 | ... |
| | 329 | IndexError: word index out of range |
| | 330 | |
| | 331 | Infinite Cases |
| | 332 | |
| | 333 | :: |
| | 334 | |
| | 335 | sage: from itertools import count |
| | 336 | sage: i = sage.combinat.words.word_content.WordContentFromIterator(count()) |
| | 337 | doctest:...: DeprecationWarning: WordContentFromIterator is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 338 | sage: i._check_getitem_args(slice(None, None, None)) |
| | 339 | slice(0, None, 1) |
| | 340 | sage: i._check_getitem_args(slice(None, 0, None)) |
| | 341 | slice(0, 0, 1) |
| | 342 | sage: i._check_getitem_args(slice(None, 1, None)) |
| | 343 | slice(0, 1, 1) |
| | 344 | sage: i._check_getitem_args(slice(None, -1, None)) |
| | 345 | Traceback (most recent call last): |
| | 346 | ... |
| | 347 | IndexError: negative index on infinite word |
| | 348 | sage: i._check_getitem_args(slice(0, None, None)) |
| | 349 | slice(0, None, 1) |
| | 350 | sage: i._check_getitem_args(slice(1, None, None)) |
| | 351 | slice(1, None, 1) |
| | 352 | sage: i._check_getitem_args(slice(-1, None, None)) |
| | 353 | Traceback (most recent call last): |
| | 354 | ... |
| | 355 | IndexError: negative index on infinite word |
| | 356 | sage: i._check_getitem_args(slice(None, None, -1)) |
| | 357 | Traceback (most recent call last): |
| | 358 | ... |
| | 359 | ValueError: negative step and no defined start |
| | 360 | sage: i._check_getitem_args(slice(None, 0, -1)) |
| | 361 | Traceback (most recent call last): |
| | 362 | ... |
| | 363 | ValueError: negative step and no defined start |
| | 364 | sage: i._check_getitem_args(slice(None, -1, -1)) |
| | 365 | Traceback (most recent call last): |
| | 366 | ... |
| | 367 | ValueError: negative step and no defined start |
| | 368 | sage: i._check_getitem_args(slice(0, None, -1)) |
| | 369 | slice(0, -1, -1) |
| | 370 | sage: i._check_getitem_args(slice(-1, None, -1)) |
| | 371 | Traceback (most recent call last): |
| | 372 | ... |
| | 373 | IndexError: negative index on infinite word |
| | 374 | sage: i._check_getitem_args(slice(None, None, 0)) |
| | 375 | Traceback (most recent call last): |
| | 376 | ... |
| | 377 | ValueError: slice step cannot be zero |
| | 378 | sage: i._check_getitem_args(1) |
| | 379 | 1 |
| | 380 | sage: i._check_getitem_args(-1) |
| | 381 | Traceback (most recent call last): |
| | 382 | ... |
| | 383 | IndexError: negative index on infinite word |
| | 384 | """ |
| | 385 | if slice_ok(key): |
| | 386 | start, stop, step = key.start, key.stop, key.step |
| | 387 | if step is None: |
| | 388 | step = 1 |
| | 389 | if step == 0: |
| | 390 | raise ValueError, "slice step cannot be zero" |
| | 391 | if haslen(self): |
| | 392 | if start is None: |
| | 393 | if step < 0: |
| | 394 | start = len(self) - 1 |
| | 395 | else: |
| | 396 | start = 0 |
| | 397 | else: |
| | 398 | if start < 0: |
| | 399 | start += len(self) |
| | 400 | if step < 0: |
| | 401 | start = clamp(start, -1, len(self) - 1) |
| | 402 | else: |
| | 403 | start = clamp(start, 0, len(self)) |
| | 404 | if stop is None: |
| | 405 | if step < 0: |
| | 406 | stop = -1 |
| | 407 | else: |
| | 408 | stop = len(self) |
| | 409 | else: |
| | 410 | if stop < 0: |
| | 411 | stop += len(self) |
| | 412 | if step < 0: |
| | 413 | stop = clamp(stop, -1, len(self) - 1) |
| | 414 | else: |
| | 415 | stop = clamp(stop, 0, len(self)) |
| | 416 | else: |
| | 417 | if start is None: |
| | 418 | if step < 0: |
| | 419 | raise ValueError, "negative step and no defined start" |
| | 420 | else: |
| | 421 | start = 0 |
| | 422 | else: |
| | 423 | start = self._check_getitem_args(start) |
| | 424 | if stop is None: |
| | 425 | if step < 0: |
| | 426 | stop = -1 |
| | 427 | else: |
| | 428 | stop = self._check_getitem_args(stop) |
| | 429 | return slice(start, stop, step) |
| | 430 | elif isint(key): |
| | 431 | key = int(key) |
| | 432 | if haslen(self): |
| | 433 | if key < 0: |
| | 434 | key += len(self) |
| | 435 | if key < 0 or key >= len(self): |
| | 436 | raise IndexError, "word index out of range" |
| | 437 | else: |
| | 438 | if key < 0: |
| | 439 | raise IndexError, "negative index on infinite word" |
| | 440 | return key |
| | 441 | else: |
| | 442 | raise TypeError, "word indices must be integers" |
| | 443 | |
| | 444 | class WordContentFromList(WordContent): |
| | 445 | def __init__(self, l, trans=id_f): |
| | 446 | r""" |
| | 447 | INPUT: |
| | 448 | |
| | 449 | |
| | 450 | - ``l`` - list |
| | 451 | |
| | 452 | - ``trans`` - function (default identity), defines a |
| | 453 | mapping between the objects in l and the nonnegative integers |
| | 454 | |
| | 455 | |
| | 456 | TESTS:: |
| | 457 | |
| | 458 | sage: c = sage.combinat.words.word_content.WordContentFromList([0, 1, 1, 2, 1]) |
| | 459 | doctest:...: DeprecationWarning: WordContentFromList is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 460 | sage: c == loads(dumps(c)) |
| | 461 | True |
| | 462 | """ |
| | 463 | from sage.misc.misc import deprecation |
| | 464 | deprecation('%s is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives' % self.__class__.__name__) |
| | 465 | self._list = map(trans, l) |
| | 466 | |
| | 467 | def __iter__(self): |
| | 468 | r""" |
| | 469 | TESTS:: |
| | 470 | |
| | 471 | sage: list(sage.combinat.words.word_content.WordContentFromList('012345', int)) # indirect test |
| | 472 | doctest:...: DeprecationWarning: WordContentFromList is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 473 | [0, 1, 2, 3, 4, 5] |
| | 474 | """ |
| | 475 | return iter(self._list) |
| | 476 | |
| | 477 | def __len__(self): |
| | 478 | r""" |
| | 479 | TESTS:: |
| | 480 | |
| | 481 | sage: len(sage.combinat.words.word_content.WordContentFromList([0, 1, 0, 0, 1])) |
| | 482 | doctest:...: DeprecationWarning: WordContentFromList is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 483 | 5 |
| | 484 | """ |
| | 485 | return len(self._list) |
| | 486 | |
| | 487 | def __getitem__(self, key): |
| | 488 | r""" |
| | 489 | TESTS:: |
| | 490 | |
| | 491 | sage: from sage.combinat.words.word_content import WordContentFromList |
| | 492 | sage: w = WordContentFromList('012345', int) |
| | 493 | doctest:...: DeprecationWarning: WordContentFromList is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 494 | sage: e = WordContentFromList('', int) |
| | 495 | sage: w__2 = WordContentFromList('45', int) |
| | 496 | sage: w_2 = WordContentFromList('01', int) |
| | 497 | sage: w__1 = WordContentFromList('01234', int) |
| | 498 | sage: w_s2 = WordContentFromList('024', int) |
| | 499 | sage: w_s_2 = WordContentFromList('531', int) |
| | 500 | sage: w[:] == w |
| | 501 | True |
| | 502 | sage: w[0:] == w |
| | 503 | True |
| | 504 | sage: w[10:] == e |
| | 505 | True |
| | 506 | sage: w[-2:] == w__2 |
| | 507 | True |
| | 508 | sage: w[-10:] == w |
| | 509 | True |
| | 510 | sage: w[:0] == e |
| | 511 | True |
| | 512 | sage: w[:2] == w_2 |
| | 513 | True |
| | 514 | sage: w[:10] == w |
| | 515 | True |
| | 516 | sage: w[:-1] == w__1 |
| | 517 | True |
| | 518 | sage: w[:-10] == e |
| | 519 | True |
| | 520 | sage: w[::2] == w_s2 |
| | 521 | True |
| | 522 | sage: w[::-2] == w_s_2 |
| | 523 | True |
| | 524 | sage: w[::0] |
| | 525 | Traceback (most recent call last): |
| | 526 | ... |
| | 527 | ValueError: slice step cannot be zero |
| | 528 | sage: w[0] |
| | 529 | 0 |
| | 530 | sage: w[5] |
| | 531 | 5 |
| | 532 | sage: w[6] |
| | 533 | Traceback (most recent call last): |
| | 534 | ... |
| | 535 | IndexError: word index out of range |
| | 536 | sage: w[-1] |
| | 537 | 5 |
| | 538 | sage: w[-6] |
| | 539 | 0 |
| | 540 | sage: w[-7] |
| | 541 | Traceback (most recent call last): |
| | 542 | ... |
| | 543 | IndexError: word index out of range |
| | 544 | """ |
| | 545 | key = self._check_getitem_args(key) |
| | 546 | if isinstance(key, slice): |
| | 547 | if key.stop == -1: |
| | 548 | key = slice(key.start, None, key.step) |
| | 549 | return WordContentFromList(self._list[key]) |
| | 550 | else: |
| | 551 | return self._list[key] |
| | 552 | |
| | 553 | class WordContentFromFunction(WordContent): |
| | 554 | def __init__(self, func, trans=id_f): |
| | 555 | r""" |
| | 556 | INPUT: |
| | 557 | |
| | 558 | |
| | 559 | - ``func`` - callable |
| | 560 | |
| | 561 | - ``trans`` - callable (default: identity), defines a |
| | 562 | mapping between the objects returned by func and the nonnegative |
| | 563 | integers. |
| | 564 | |
| | 565 | |
| | 566 | NOTE: Unnamed functions do not pickle. And if you arbitrarily slice |
| | 567 | this type of container then it may use lambdas and break pickling. |
| | 568 | |
| | 569 | TESTS:: |
| | 570 | |
| | 571 | sage: c = sage.combinat.words.word_content.WordContentFromFunction(sage.combinat.words.utils.id_f)[:10] |
| | 572 | doctest:...: DeprecationWarning: WordContentFromFunction is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 573 | sage: c == loads(dumps(c)) |
| | 574 | True |
| | 575 | """ |
| | 576 | from sage.misc.misc import deprecation |
| | 577 | deprecation('%s is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives' % self.__class__.__name__) |
| | 578 | self._func = func |
| | 579 | self._len = Infinity |
| | 580 | self._trans = trans |
| | 581 | |
| | 582 | def __iter__(self): |
| | 583 | r""" |
| | 584 | TESTS:: |
| | 585 | |
| | 586 | sage: list(sage.combinat.words.word_content.WordContentFromFunction(sage.combinat.words.utils.id_f)[:6]) # indirect test |
| | 587 | doctest:...: DeprecationWarning: WordContentFromFunction is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 588 | [0, 1, 2, 3, 4, 5] |
| | 589 | """ |
| | 590 | for i in xrange(self._len) if haslen(self) else count(): |
| | 591 | yield self._trans(self._func(i)) |
| | 592 | |
| | 593 | def __len__(self): |
| | 594 | r""" |
| | 595 | TESTS:: |
| | 596 | |
| | 597 | sage: c = sage.combinat.words.word_content.WordContentFromFunction(sage.combinat.words.utils.id_f) |
| | 598 | doctest:...: DeprecationWarning: WordContentFromFunction is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 599 | sage: len(c) |
| | 600 | Traceback (most recent call last): |
| | 601 | ... |
| | 602 | TypeError: an integer is required |
| | 603 | sage: c = c[:10] |
| | 604 | sage: len(c) |
| | 605 | 10 |
| | 606 | """ |
| | 607 | return self._len |
| | 608 | |
| | 609 | def __getitem__(self, key): |
| | 610 | r""" |
| | 611 | TESTS:: |
| | 612 | |
| | 613 | sage: from sage.combinat.words.utils import id_f |
| | 614 | sage: from sage.combinat.words.word_content import WordContentFromFunction, WordContentFromList |
| | 615 | sage: w = WordContentFromFunction(id_f); |
| | 616 | doctest:...: DeprecationWarning: WordContentFromFunction is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 617 | sage: e = WordContentFromList('', int) |
| | 618 | doctest:...: DeprecationWarning: WordContentFromList is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 619 | sage: w__2 = WordContentFromList('45', int) |
| | 620 | sage: w_2 = WordContentFromList('01', int) |
| | 621 | sage: w__1 = WordContentFromList('01234', int) |
| | 622 | sage: w_s2 = WordContentFromList('024', int) |
| | 623 | sage: w_s_2 = WordContentFromList('531', int) |
| | 624 | sage: w[:] # random results |
| | 625 | <sage.combinat.words.word_content.WordContentFromFunction object at 0xe499c30> |
| | 626 | sage: w[0:] # random results |
| | 627 | <sage.combinat.words.word_content.WordContentFromFunction object at 0xe499c50> |
| | 628 | sage: w[1:] # random results |
| | 629 | <sage.combinat.words.word_content.WordContentFromFunction object at 0xe499c30> |
| | 630 | sage: w[:0] == e |
| | 631 | True |
| | 632 | sage: w[:5] == w__1 |
| | 633 | True |
| | 634 | sage: w[::2] # random results |
| | 635 | <sage.combinat.words.word_content.WordContentFromFunction object at 0xe499bf0> |
| | 636 | sage: w[::0] |
| | 637 | Traceback (most recent call last): |
| | 638 | ... |
| | 639 | ValueError: slice step cannot be zero |
| | 640 | sage: w[5] |
| | 641 | 5 |
| | 642 | sage: w[-1] |
| | 643 | Traceback (most recent call last): |
| | 644 | ... |
| | 645 | IndexError: negative index on infinite word |
| | 646 | sage: w._len = 6 |
| | 647 | sage: w[:] == w |
| | 648 | True |
| | 649 | sage: w[0:] == w |
| | 650 | True |
| | 651 | sage: w[10:] == e |
| | 652 | True |
| | 653 | sage: w[-2:] == w__2 |
| | 654 | True |
| | 655 | sage: w[-10:] == w |
| | 656 | True |
| | 657 | sage: w[:0] == e |
| | 658 | True |
| | 659 | sage: w[:2] == w_2 |
| | 660 | True |
| | 661 | sage: w[:10] == w |
| | 662 | True |
| | 663 | sage: w[:-1] == w__1 |
| | 664 | True |
| | 665 | sage: w[:-10] == e |
| | 666 | True |
| | 667 | sage: w[::2] == w_s2 |
| | 668 | True |
| | 669 | sage: w[::-2] == w_s_2 |
| | 670 | True |
| | 671 | sage: w[::0] |
| | 672 | Traceback (most recent call last): |
| | 673 | ... |
| | 674 | ValueError: slice step cannot be zero |
| | 675 | sage: w[0] |
| | 676 | 0 |
| | 677 | sage: w[5] |
| | 678 | 5 |
| | 679 | sage: w[6] |
| | 680 | Traceback (most recent call last): |
| | 681 | ... |
| | 682 | IndexError: word index out of range |
| | 683 | sage: w[-1] |
| | 684 | 5 |
| | 685 | sage: w[-6] |
| | 686 | 0 |
| | 687 | sage: w[-7] |
| | 688 | Traceback (most recent call last): |
| | 689 | ... |
| | 690 | IndexError: word index out of range |
| | 691 | """ |
| | 692 | key = self._check_getitem_args(key) |
| | 693 | if isinstance(key, slice): |
| | 694 | if key.start != 0 or key.step != 1: |
| | 695 | # TODO: maybe use an accessory class for the slicing |
| | 696 | fn = lambda x: self._func(key.start + x*key.step) |
| | 697 | else: |
| | 698 | fn = self._func |
| | 699 | res = WordContentFromFunction(fn, self._trans) |
| | 700 | if key.stop is not None: |
| | 701 | res._len = int((key.stop - key.start)/key.step) |
| | 702 | return res |
| | 703 | else: |
| | 704 | return self._trans(self._func(key)) |
| | 705 | |
| | 706 | class WordContentFromIterator(WordContent): |
| | 707 | def __init__(self, it, trans=id_f): |
| | 708 | r""" |
| | 709 | INPUT: |
| | 710 | |
| | 711 | |
| | 712 | - ``it`` - iterator |
| | 713 | |
| | 714 | - ``trans`` - function (default identity), defines a |
| | 715 | mapping between the objects returned by it and the nonnegative |
| | 716 | integers. |
| | 717 | |
| | 718 | |
| | 719 | NOTE: It appears that islice does not pickle correctly causing |
| | 720 | various errors when reloading. Also, most iterators do not support |
| | 721 | copying and should not support pickling by extension. |
| | 722 | |
| | 723 | TESTS:: |
| | 724 | |
| | 725 | sage: from itertools import count |
| | 726 | sage: c = sage.combinat.words.word_content.WordContentFromIterator(count())[:10] |
| | 727 | doctest:...: DeprecationWarning: WordContentFromIterator is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 728 | |
| | 729 | :: |
| | 730 | |
| | 731 | #sage: c == loads(dumps(c)) # broken because of islice |
| | 732 | #True |
| | 733 | """ |
| | 734 | from sage.misc.misc import deprecation |
| | 735 | deprecation('%s is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives' % self.__class__.__name__) |
| | 736 | self._iter = iter(it) |
| | 737 | self._len = Infinity |
| | 738 | self._trans = trans |
| | 739 | |
| | 740 | def __iter__(self): |
| | 741 | r""" |
| | 742 | TESTS:: |
| | 743 | |
| | 744 | sage: from itertools import count |
| | 745 | sage: list(sage.combinat.words.word_content.WordContentFromIterator(count())[:6]) # indirect test |
| | 746 | doctest:...: DeprecationWarning: WordContentFromIterator is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 747 | [0, 1, 2, 3, 4, 5] |
| | 748 | """ |
| | 749 | return imap(self._trans, self._get_it()) |
| | 750 | |
| | 751 | def _get_it(self): |
| | 752 | r""" |
| | 753 | TESTS:: |
| | 754 | |
| | 755 | sage: from itertools import count |
| | 756 | sage: c = sage.combinat.words.word_content.WordContentFromIterator(count()) |
| | 757 | doctest:...: DeprecationWarning: WordContentFromIterator is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 758 | sage: it1 = c._get_it() |
| | 759 | sage: it2 = c._get_it() |
| | 760 | sage: it1.next() |
| | 761 | 0 |
| | 762 | sage: it2.next() |
| | 763 | 0 |
| | 764 | sage: list(c[:4]) |
| | 765 | [0, 1, 2, 3] |
| | 766 | sage: it1.next() |
| | 767 | 1 |
| | 768 | sage: it2.next() |
| | 769 | 1 |
| | 770 | """ |
| | 771 | self._iter, new = copy_it(self._iter) |
| | 772 | return new |
| | 773 | |
| | 774 | def __len__(self): |
| | 775 | r""" |
| | 776 | TESTS:: |
| | 777 | |
| | 778 | sage: from itertools import count |
| | 779 | sage: c = sage.combinat.words.word_content.WordContentFromIterator(count()) |
| | 780 | doctest:...: DeprecationWarning: WordContentFromIterator is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 781 | sage: len(c) |
| | 782 | Traceback (most recent call last): |
| | 783 | ... |
| | 784 | TypeError: an integer is required |
| | 785 | sage: c = c[:10] |
| | 786 | sage: len(c) |
| | 787 | 10 |
| | 788 | """ |
| | 789 | return self._len |
| | 790 | |
| | 791 | def __getitem__(self, key): |
| | 792 | r""" |
| | 793 | TESTS:: |
| | 794 | |
| | 795 | sage: from itertools import count |
| | 796 | sage: from sage.combinat.words.word_content import WordContentFromIterator, WordContentFromList |
| | 797 | sage: w = WordContentFromIterator(count()) |
| | 798 | doctest:...: DeprecationWarning: WordContentFromIterator is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 799 | sage: e = WordContentFromList('', int) |
| | 800 | doctest:...: DeprecationWarning: WordContentFromList is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 801 | sage: w__2 = WordContentFromList('45', int) |
| | 802 | sage: w_2 = WordContentFromList('01', int) |
| | 803 | sage: w__1 = WordContentFromList('01234', int) |
| | 804 | sage: w_s2 = WordContentFromList('024', int) |
| | 805 | sage: w_s_2 = WordContentFromList('531', int) |
| | 806 | sage: w[:] # random results |
| | 807 | <sage.combinat.words.word_content.WordContentFromIterator object at 0xe499c30> |
| | 808 | sage: w[0:] # random results |
| | 809 | <sage.combinat.words.word_content.WordContentFromIterator object at 0xe499c50> |
| | 810 | sage: w[1:] # random results |
| | 811 | <sage.combinat.words.word_content.WordContentFromIterator object at 0xe499c30> |
| | 812 | sage: w[:0] == e |
| | 813 | True |
| | 814 | sage: w[:5] == w__1 |
| | 815 | True |
| | 816 | sage: w[::2] # random results |
| | 817 | <sage.combinat.words.word_content.WordContentFromIterator object at 0xe499bf0> |
| | 818 | sage: w[::0] |
| | 819 | Traceback (most recent call last): |
| | 820 | ... |
| | 821 | ValueError: slice step cannot be zero |
| | 822 | sage: w[5] |
| | 823 | 5 |
| | 824 | sage: w[-1] |
| | 825 | Traceback (most recent call last): |
| | 826 | ... |
| | 827 | IndexError: negative index on infinite word |
| | 828 | sage: w._len = 6 |
| | 829 | sage: w[:] == w |
| | 830 | True |
| | 831 | sage: w[0:] == w |
| | 832 | True |
| | 833 | sage: w[10:] == e |
| | 834 | True |
| | 835 | sage: w[-2:] == w__2 |
| | 836 | True |
| | 837 | sage: w[-10:] == w |
| | 838 | True |
| | 839 | sage: w[:0] == e |
| | 840 | True |
| | 841 | sage: w[:2] == w_2 |
| | 842 | True |
| | 843 | sage: w[:10] == w |
| | 844 | True |
| | 845 | sage: w[:-1] == w__1 |
| | 846 | True |
| | 847 | sage: w[:-10] == e |
| | 848 | True |
| | 849 | sage: w[::2] == w_s2 |
| | 850 | True |
| | 851 | sage: w[::-2] == w_s_2 |
| | 852 | doctest:...: DeprecationWarning: WordContentFromList is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 853 | True |
| | 854 | sage: w[::0] |
| | 855 | Traceback (most recent call last): |
| | 856 | ... |
| | 857 | ValueError: slice step cannot be zero |
| | 858 | sage: w[0] |
| | 859 | 0 |
| | 860 | sage: w[5] |
| | 861 | 5 |
| | 862 | sage: w[6] |
| | 863 | Traceback (most recent call last): |
| | 864 | ... |
| | 865 | IndexError: word index out of range |
| | 866 | sage: w[-1] |
| | 867 | 5 |
| | 868 | sage: w[-6] |
| | 869 | 0 |
| | 870 | sage: w[-7] |
| | 871 | Traceback (most recent call last): |
| | 872 | ... |
| | 873 | IndexError: word index out of range |
| | 874 | """ |
| | 875 | key = self._check_getitem_args(key) |
| | 876 | if isinstance(key, slice): |
| | 877 | if key.step < 0: |
| | 878 | if key.stop == -1: |
| | 879 | key = slice(key.start, None, key.step) |
| | 880 | if haslen(self): |
| | 881 | return WordContentFromList(slice_it(self, len(self), key)) |
| | 882 | else: |
| | 883 | return WordContentFromList(slice_it(self, \ |
| | 884 | int(key.start - key.stop), key)) |
| | 885 | else: |
| | 886 | res = WordContentFromIterator(islice(self._get_it(), key.start, \ |
| | 887 | key.stop, key.step), self._trans) |
| | 888 | if key.stop is not None: |
| | 889 | res._len = int((key.stop - key.start)/key.step) |
| | 890 | return res |
| | 891 | else: |
| | 892 | return islice(self, key, None).next() |
| | 893 | |
| | 894 | class ConcatenateContent(WordContentFromFunction): |
| | 895 | r""" |
| | 896 | Class that acts as a function to concatenate contents. |
| | 897 | """ |
| | 898 | def __init__(self, l): |
| | 899 | r""" |
| | 900 | TESTS:: |
| | 901 | |
| | 902 | sage: from sage.combinat.words.word_content import ConcatenateContent, BuildWordContent |
| | 903 | sage: c = ConcatenateContent((BuildWordContent([1, 2]),)) |
| | 904 | doctest:...: DeprecationWarning: ConcatenateContent is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 905 | sage: len(c) |
| | 906 | 2 |
| | 907 | sage: c = ConcatenateContent((BuildWordContent('1221', int), BuildWordContent('2112', int))) |
| | 908 | sage: len(c) |
| | 909 | 8 |
| | 910 | """ |
| | 911 | from sage.misc.misc import deprecation |
| | 912 | deprecation('%s is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives' % self.__class__.__name__) |
| | 913 | self._list = l |
| | 914 | super(ConcatenateContent, self).__init__(self) |
| | 915 | self._len = sum(imap(len, self._list)) |
| | 916 | |
| | 917 | def __iter__(self): |
| | 918 | r""" |
| | 919 | TESTS:: |
| | 920 | |
| | 921 | sage: from sage.combinat.words.word_content import ConcatenateContent, BuildWordContent |
| | 922 | sage: list(ConcatenateContent((BuildWordContent('012', int), BuildWordContent([3, 4, 5])))) # indirect test |
| | 923 | doctest:...: DeprecationWarning: ConcatenateContent is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 924 | [0, 1, 2, 3, 4, 5] |
| | 925 | """ |
| | 926 | for c in self._list: |
| | 927 | for s in c: |
| | 928 | yield s |
| | 929 | |
| | 930 | def _get_list(self): |
| | 931 | r""" |
| | 932 | Optimization: for ConcatenateContents return the internal list. |
| | 933 | |
| | 934 | TESTS:: |
| | 935 | |
| | 936 | sage: from sage.combinat.words.word_content import ConcatenateContent, BuildWordContent |
| | 937 | sage: type(ConcatenateContent((BuildWordContent([1, 2]),))._get_list()) |
| | 938 | doctest:...: DeprecationWarning: ConcatenateContent is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 939 | <type 'tuple'> |
| | 940 | """ |
| | 941 | return self._list |
| | 942 | |
| | 943 | def __call__(self, key): |
| | 944 | r""" |
| | 945 | Returns the character at position key in the word. |
| | 946 | |
| | 947 | EXAMPLES:: |
| | 948 | |
| | 949 | sage: from sage.combinat.words.word_content import ConcatenateContent, BuildWordContent |
| | 950 | sage: c = ConcatenateContent((BuildWordContent('1221', int), BuildWordContent('2112', int))) |
| | 951 | doctest:...: DeprecationWarning: ConcatenateContent is deprecated and will be deleted in a future version of Sage; see sage.combinat.words.word_datatypes for alternatives |
| | 952 | sage: c(0) |
| | 953 | 1 |
| | 954 | sage: c(7) |
| | 955 | 2 |
| | 956 | """ |
| | 957 | for c in self._list: |
| | 958 | if (key - len(c) < 0): |
| | 959 | return c[key] |
| | 960 | key -= len(c) |
