1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712
|
/*
This file contains docstrings for use in the Python bindings.
Do not edit! They were automatically extracted by ../gendoc.sh.
*/
#if defined(__GNUG__)
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wunused-variable"
#endif
namespace regina::python::doc {
// Docstring regina::python::doc::SFSFibre
static const char *SFSFibre =
R"doc(Represents an exceptional (*alpha*, *beta*) fibre in a Seifert fibred
space.
The first parameter *alpha* must be strictly positive, and the two
parameters *alpha* and *beta* must be coprime.
Note that we allow regular fibres with *alpha* = 1, and we do not
impose range limits on *beta* (thus *beta* may be negative, or it may
be larger than *alpha*). This is to allow more flexibility in routines
such as SFSpace::insertFibre().
These objects are small enough to pass by value and swap with
std::swap(), with no need for any specialised move operations or swap
functions.
.. warning::
In Regina 4.2.1 and earlier, this class was named
NExceptionalFibre. The new SFSFibre class was introduced with
Regina 4.3, and has changed its behaviour (in particular, the
natural ordering of fibres has changed). Code that was written to
work with the old NExceptionalFibre class should be looked at
closely before being adapted to the new SFSFibre class (i.e., it
may require more than just substituting class names).)doc";
// Docstring regina::python::doc::SFSpace
static const char *SFSpace =
R"doc(Represents a general Seifert fibred space, which may be orientable or
non-orientable. Punctures and reflector boundaries in the base
orbifold are supported.
A Seifert fibred space whose base orbifold has no punctures or
reflector boundaries can be placed into one of the six classes ``o1``,
``o2``, ``n1``, ``n2``, ``n3`` and ``n4``, as detailed on page 88 of
"Seifert Manifolds", Peter Orlik, Springer-Verlag, 1972. These classes
describe whether this base surface is orientable, as well as how many
of its generators give fibre-reversing paths in the 3-manifold.
In the case where the base orbifold has punctures and/or reflector
boundaries, we use the five simplified classes ``bo1``, ``bo2``,
``bn1``, ``bn2`` and ``bn3``. These classes are not standard
terminology (i.e., they have been created explicitly for Regina), and
generally they do not provide enough information to uniquely identify
the 3-manifold. They do however identify whether or not the base
orbifold is orientable, and whether or not it contains any fibre-
reversing paths.
When describing punctures and reflector boundaries, a _twisted_
boundary is one that gives a fibre-reversing path, and an _untwisted_
boundary is one around which the direction of fibres is preserved.
Exceptional fibres are sorted first by *alpha* (the index) and then by
*beta*. The obstruction constant *b* is stored separately, though in
output routines such as name() and structure() it is merged in with
the exceptional fibres. Specifically, it is merged in with the *beta*
of the final exceptional fibre (replacing it with ``beta + b.alpha``),
or if there are no exceptional fibres then it is presented as a single
(1,b) fibre.
The Manifold routines homology() and construct() are only implemented
in some cases. The homology() routine is implemented if and only if
the base orbifold has no punctures. The construct() routine is
implemented only for lens spaces and Seifert fibred spaces over the
2-sphere without punctures or reflector boundaries.
This class implements C++ move semantics and adheres to the C++
Swappable requirement. It is designed to avoid deep copies wherever
possible, even when passing or returning objects by value. Note,
however, that SFSpace still requires a non-trivial (but constant
sized) amount of data to be copied even in a move operation.
.. warning::
In Regina 4.2.1 and earlier, this class was named NSFS. As of
Regina 4.3, this class was renamed due to significant changes of
behaviour (it became more general, and also now keeps the
obstruction parameter *b* separate). Code that was written to work
with the old NSFS class should be looked at closely before being
adapted to the new SFSpace class (i.e., it may require more than
just substituting class names).)doc";
namespace SFSFibre_ {
// Docstring regina::python::doc::SFSFibre_::__cmp
static const char *__cmp =
R"doc(Compares two exceptional fibres. Fibres are ordered first by *alpha*
and then by *beta*.
This generates all of the usual comparison operators, including ``<``,
``<=``, ``>``, and ``>=``.
Python:
This spaceship operator ``x <=> y`` is not available, but the
other comparison operators that it generates _are_ available.
Returns:
The result of the comparison between this and the given fibre.)doc";
// Docstring regina::python::doc::SFSFibre_::__copy
static const char *__copy = R"doc(Creates a new exceptional fibre that is a clone of the given fibre.)doc";
// Docstring regina::python::doc::SFSFibre_::__default
static const char *__default = R"doc(Creates a new uninitialised exceptional fibre.)doc";
// Docstring regina::python::doc::SFSFibre_::__eq
static const char *__eq =
R"doc(Determines if this and the given exceptional fibre are identical. This
requires both fibres to have the same values for *alpha* and the same
values for *beta*.
Returns:
``True`` if and only if this and the given fibre are identical.)doc";
// Docstring regina::python::doc::SFSFibre_::__init
static const char *__init =
R"doc(Creates a new exceptional fibre with the given parameters.
Parameter ``newAlpha``:
the first parameter (the index) of this exceptional fibre; this
must be strictly positive.
Parameter ``newBeta``:
the second parameter of this exceptional fibre; this must have no
common factors with the first parameter *newAlpha*.)doc";
}
namespace SFSpace_ {
// Docstring regina::python::doc::SFSpace_::Class
static const char *Class =
R"doc(Lists the six classes ``o1``, ``o2``, ``n1``, ``n2``, ``n3``, ``n4``
for base orbifolds without boundaries, plus five classes ``bo1``,
``b02``, ``bn1``, ``bn2``, ``bn3`` for base orbifolds with boundaries.)doc";
// Docstring regina::python::doc::SFSpace_::__cmp
static const char *__cmp =
R"doc(Compares representations of two Seifert fibred spaces according to an
aesthetic ordering.
The only purpose of this routine is to implement a consistent ordering
of Seifert fibred space representations. The specific ordering used is
purely aesthetic on the part of the author, and is subject to change
in future versions of Regina.
It does not matter whether the two spaces are homeomorphic; this
routine compares the specific _representations_ of these spaces (and
so in particular, different representations of the same Seifert fibred
space will be ordered differently).
This operator generates all of the usual comparison operators,
including ``<``, ``<=``, ``>``, and ``>=``.
Python:
This spaceship operator ``x <=> y`` is not available, but the
other comparison operators that it generates _are_ available.
Parameter ``rhs``:
the other representation to compare this with.
Returns:
A result that indicates how this and the given Seifert fibred
space representation should be ordered with respect to each other.)doc";
// Docstring regina::python::doc::SFSpace_::__copy
static const char *__copy = R"doc(Creates a new copy of the given Seifert fibred space.)doc";
// Docstring regina::python::doc::SFSpace_::__default
static const char *__default =
R"doc(Creates a new Seifert fibred space with base orbifold the 2-sphere and
no exceptional fibres.)doc";
// Docstring regina::python::doc::SFSpace_::__eq
static const char *__eq =
R"doc(Determines whether this and the given object contain precisely the
same presentations of the same Seifert fibred space.
This routine does _not_ test for homeomorphism. Instead it compares
the exact presentations, including the precise details of the base
orbifold and the exact parameters of the exceptional fibres, and
determines whether or not these _presentations_ are identical. If you
have two different presentations of the same Seifert fibred space,
they will be treated as not equal by this routine.
Parameter ``compare``:
the presentation with which this will be compared.
Returns:
``True`` if and only if this and the given object contain
identical presentations of the same Seifert fibred space.)doc";
// Docstring regina::python::doc::SFSpace_::__init
static const char *__init =
R"doc(Creates a new Seifert fibred space of the given class with the given
base orbifold and no exceptional fibres.
Precondition:
If there are no punctures or reflector boundary components, then
*useClass* is one of the six classes ``o1``, ``o2``, ``n1``,
``n2``, ``n3`` or ``n4``. Likewise, if there are punctures and/or
reflector boundary components, then *useClass* is one of the five
classes ``bo1``, ``bo2``, ``bn1``, ``bn2`` or ``bn3``.
Precondition:
If there are any twisted punctures or reflector boundary
components, then *useClass* is either ``bo2`` or ``bn3``.
Parameter ``useClass``:
indicates whether the base orbifold is closed and/or orientable,
and gives information about fibre-reversing paths in the
3-manifold. See the SFSpace class notes and the Class enumeration
notes for details.
Parameter ``genus``:
the genus of the base orbifold (the number of tori or projective
planes that it contains). Note that for non-orientable base
surfaces, this is the non-orientable genus.
Parameter ``punctures``:
the number of untwisted ordinary boundary components of the base
orbifold. Here "ordinary" means that the puncture gives rise to a
real 3-manifold boundary (i.e., this is not a reflector boundary
of the base orbifold).
Parameter ``puncturesTwisted``:
the number of twisted ordinary boundary components of the base
orbifold. Here "ordinary" means that the puncture gives rise to a
real 3-manifold boundary (i.e., this is not a reflector boundary
of the base orbifold).
Parameter ``reflectors``:
the number of untwisted reflector boundary components of the base
orbifold. These are in addition to the ordinary boundary
components described by *punctures*.
Parameter ``reflectorsTwisted``:
the number of twisted reflector boundary components of the base
orbifold. These are in addition to the ordinary boundary
components described by *puncturesTwisted*.)doc";
// Docstring regina::python::doc::SFSpace_::addCrosscap
static const char *addCrosscap =
R"doc(Inserts a new crosscap into the base orbifold.
This makes the base orbifold non-orientable, and increases its non-
orientable genus by one. It is equivalent to removing a disc from the
base orbifold and replacing it with a Mobius band.
Note that this operation may alter which of the classes described by
Class this space belongs to.
The exceptional fibres and the obstruction constant *b* are not
modified by this routine.
Parameter ``fibreReversing``:
``True`` if the generator of the new crosscap should give a fibre-
reversing curve in the overall 3-manifold, or ``False`` (the
default) if it should preserve the directions of the fibres.)doc";
// Docstring regina::python::doc::SFSpace_::addHandle
static const char *addHandle =
R"doc(Inserts a new handle into the base orbifold.
This increases the orientable genus of the base orbifold by one, or
the non-orientable genus by two. It is equivalent to removing a disc
from the base orbifold and replacing it with a punctured torus.
Note that this operation may alter which of the classes described by
Class this space belongs to.
The exceptional fibres and the obstruction constant *b* are not
modified by this routine.
Parameter ``fibreReversing``:
``True`` if one or both generators of the new handle should give
fibre-reversing curves in the overall 3-manifold, or ``False``
(the default) if both generators should preserve the directions of
the fibres.)doc";
// Docstring regina::python::doc::SFSpace_::addPuncture
static const char *addPuncture =
R"doc(Inserts one or more new punctures into the base orbifold. The
punctures may be twisted or untwisted.
Each puncture insertion is equivalent to removing a disc from the base
orbifold. In the untwisted case this results in a new torus boundary
for the 3-manifold, and in the twisted case it results in a new Klein
bottle boundary.
The exceptional fibres and the obstruction constant *b* are not
modified by this routine.
Parameter ``twisted``:
``True`` if the new punctures should be twisted (i.e., their
boundaries should be fibre-reversing), or ``False`` if the new
punctures should be untwisted.
Parameter ``nPunctures``:
the number of new punctures to insert.)doc";
// Docstring regina::python::doc::SFSpace_::addReflector
static const char *addReflector =
R"doc(Adds one or more new reflector boundary components to the base
orbifold. The new reflector boundaries may be twisted or untwisted.
Each addition of a reflector boundary component is equivalent to
removing a disc from the base orbifold and replacing it with an
annulus with one reflector boundary.
In the untwisted case, it has the effect of removing a trivially
fibred solid torus from the overall 3-manifold and replacing it with
an appropriately fibred twisted I-bundle over the torus.
The exceptional fibres and the obstruction constant *b* are not
modified by this routine.
Parameter ``twisted``:
``True`` if the new reflector boundaries should be twisted (i.e.,
the boundaries should be fibre-reversing), or ``False`` if the new
reflector boundaries should be untwisted.
Parameter ``nReflectors``:
the number of new reflector boundaries to add.)doc";
// Docstring regina::python::doc::SFSpace_::baseClass
static const char *baseClass =
R"doc(Returns which of the eleven predefined classes this space belongs to.
The specific class indicates whether the base orbifold has punctures
and/or reflector boundaries, whether the base orbifold is orientable,
and gives information on fibre-reversing paths.
The class can be (indirectly) modified by calling addHandle(),
addCrosscap(), addPuncture() or addReflector().
For more information on the eleven predefined classes, see the SFSpace
class notes or the Class enumeration notes.
Returns:
the particular class to which this space belongs.)doc";
// Docstring regina::python::doc::SFSpace_::baseGenus
static const char *baseGenus =
R"doc(Returns the genus of the base orbifold. All punctures and reflector
boundaries in the base orbifold are ignored (i.e., they are treated as
though they had been replaced with ordinary filled discs).
The genus is the number of tori or projective planes that the base
surface is formed from. In particular, if the base surface is non-
orientable then this is the non-orientable genus.
Returns:
the genus of the base orbifold.)doc";
// Docstring regina::python::doc::SFSpace_::baseOrientable
static const char *baseOrientable =
R"doc(Returns whether or not the base surface is orientable. Reflector
boundary components of the base orbifold are not considered here.
The orientability of the base surface can be (indirectly) modified by
calling addCrosscap().
Returns:
``True`` if and only if the base surface is orientable.)doc";
// Docstring regina::python::doc::SFSpace_::complementAllFibres
static const char *complementAllFibres =
R"doc(Replaces each exceptional fibre of the form (*alpha*, *beta*) with a
fibre of the form (*alpha*, *alpha* - *beta*). The obstruction
constant *b* is not touched.)doc";
// Docstring regina::python::doc::SFSpace_::fibre
static const char *fibre =
R"doc(Returns the requested exceptional fibre. Fibres are stored in sorted
order by *alpha* (the index) and then by *beta*. See the SFSpace class
notes for details.
.. warning::
This routine takes linear time (specifically, linear in the
argument *which*).
Parameter ``which``:
determines which fibre to return; this must be between 0 and
getFibreCount()-1 inclusive.
Returns:
the requested fibre.)doc";
// Docstring regina::python::doc::SFSpace_::fibreCount
static const char *fibreCount =
R"doc(Returns the number of exceptional fibres in this Seifert fibred space.
Note that the obstruction parameter *b* is not included in this count.
That is, any (1,k) fibres are ignored.
Returns:
the number of exceptional fibres.)doc";
// Docstring regina::python::doc::SFSpace_::fibreNegating
static const char *fibreNegating =
R"doc(Returns whether or not we can negate an exceptional fibre by passing
it around the interior of the base orbifold. That is, this routine
determines whether a (*p*, *q*) exceptional fibre can become a (*p*,
-*q*) exceptional fibre simply by sliding it around.
This is possible if either
* the base orbifold has an orientation-reversing loop that does not
reverse fibres in the 3-manifold, or
* the base orbifold has an orientation-preserving loop that does
reverse fibres in the 3-manifold.
Note that reflector boundary components, whilst making the overall
3-manifold non-orientable, have no bearing on the outcome of this
routine.
Returns:
``True`` if and only an exceptional fibre can be reflected as
described above.)doc";
// Docstring regina::python::doc::SFSpace_::fibreReversing
static const char *fibreReversing =
R"doc(Returns whether or not this space contains any fibre-reversing paths.
Returns:
``True`` if and only if a fibre-reversing path exists.)doc";
// Docstring regina::python::doc::SFSpace_::global_swap
static const char *global_swap =
R"doc(Swaps the contents of the two given Seifert fibred spaces.
This global routine simply calls SFSpace::swap(); it is provided so
that SFSpace meets the C++ Swappable requirements.
Parameter ``a``:
the first space whose contents should be swapped.
Parameter ``b``:
the second space whose contents should be swapped.)doc";
// Docstring regina::python::doc::SFSpace_::insertFibre
static const char *insertFibre =
R"doc(Adds the given fibre to this Seifert fibred space.
This may be an exceptional fibre (*alpha* > 1) or it may be a regular
fibre (*alpha* = 1). If it is a regular fibre, the obstruction
constant *b* will be adjusted according to the value of *beta*.
Note that there is no restriction on the range of the second parameter
*beta*. If it is out of the usual range 0 ≤ *beta* < *alpha*, it will
be pulled back into this range and the excess will be pushed into the
obstruction constant *b*.
Exception ``InvalidArgument``:
*alpha* is zero.
Parameter ``fibre``:
the fibre to insert. The first parameter of this fibre (i.e., its
index) must be strictly positive, and the two parameters of this
fibre must be coprime.)doc";
// Docstring regina::python::doc::SFSpace_::insertFibre_2
static const char *insertFibre_2 =
R"doc(Adds the given fibre to this Seifert fibred space.
This may be an exceptional fibre (*alpha* > 1) or it may be a regular
fibre (*alpha* = 1). If it is a regular fibre, the obstruction
constant *b* will be adjusted according to the value of *beta*.
Note that there is no restriction on the range of the second parameter
*beta*. If it is out of the usual range 0 ≤ *beta* < *alpha*, it will
be pulled back into this range and the excess will be pushed into the
obstruction constant *b*.
Exception ``InvalidArgument``:
*alpha* is zero.
Parameter ``alpha``:
the first parameter (i.e., the index) of the fibre to insert; this
must be strictly positive.
Parameter ``beta``:
the second parameter of the fibre to insert; this must have no
common factors with the first parameter *alpha*.)doc";
// Docstring regina::python::doc::SFSpace_::isLensSpace
static const char *isLensSpace =
R"doc(Determines if this Seifert fibred space is a Lens space.
Returns:
a structure containing the details of this Lens space, or ``None``
if this is not a Lens space.)doc";
// Docstring regina::python::doc::SFSpace_::obstruction
static const char *obstruction =
R"doc(Returns the obstruction constant *b* for this Seifert fibred space.
The obstruction constant corresponds to the insertion of an additional
(1,*b*) fibre. It can be modified by calling insertFibre() with a
value of *alpha* = 1. It will also be modified whenever insertFibre()
is called with *beta* out of range (*beta* < 0 or *beta* ≥ *alpha*),
since each exceptional fibre must be stored in standard form (0 ≤
*beta* < *alpha*).
Returns:
the obstruction constant *b*.)doc";
// Docstring regina::python::doc::SFSpace_::punctures
static const char *punctures =
R"doc(Returns the total number of punctures in the base orbifold. In other
words, this routine returns the total number of real torus or Klein
bottle boundary components in the overall 3-manifold.
Note that reflector boundaries on the base orbifold are _not_ counted
here; only the ordinary boundary components that give rise to real
3-manifold boundaries are included.
Both untwisted and twisted punctures (giving rise to torus and Klein
bottle boundaries respectively in the 3-manifold) are counted by this
routine.
Returns:
the total number of punctures.)doc";
// Docstring regina::python::doc::SFSpace_::punctures_2
static const char *punctures_2 =
R"doc(Returns the number of punctures of the given type in the base
orbifold. In other words, this routine returns the number of real
boundary components of the given type in the overall 3-manifold.
This routine either counts only twisted punctures (which give rise to
Klein bottle boundaries), or only untwisted punctures (which give rise
to torus boundaries).
Either way, reflector boundaries on the base orbifold are _not_
counted here; only ordinary boundary components that give rise to real
3-manifold boundaries are considered.
Parameter ``twisted``:
``True`` if only twisted punctures should be counted (those that
give fibre-reversing paths and Klein bottle boundaries), or
``False`` if only untwisted punctures should be counted (those
that are fibre-preserving and give torus boundaries).
Returns:
the number of punctures of the given type.)doc";
// Docstring regina::python::doc::SFSpace_::reduce
static const char *reduce =
R"doc(Reduces the parameters of this Seifert fibred space to a simpler form
if possible, without changing the underlying fibration.
In some cases the parameters of the Seifert fibred space may be
simplified by taking a mirror image of the entire 3-manifold. The
argument *mayReflect* signifies whether this is allowed.
This routine will not change the curves made by the fibres and the
base orbifold on any boundary components (i.e., boundaries caused by
punctures in the base orbifold).
.. warning::
If *mayReflect* is ``True`` then the entire 3-manifold might be
replaced with its mirror image, in which case any subsequent
modifications (such as inserting additional fibres or altering the
base orbifold) may give unexpected results.
Parameter ``mayReflect``:
``True`` if we are allowed to take a mirror image of the entire
3-manifold, or ``False`` if we are not.)doc";
// Docstring regina::python::doc::SFSpace_::reflect
static const char *reflect =
R"doc(Replaces this space with its mirror image. Specifically, all
exceptional fibres and the obstruction constant *b* will be negated.
Note that the obstruction constant will generally undergo further
change as the exceptional fibres are standardised into the usual 0 ≤
*beta* < *alpha* form.
This routine will not change the curves made by the fibres and the
base orbifold on any boundary components (i.e., boundaries caused by
punctures in the base orbifold), with the exception that each base
curve will be reflected.
.. warning::
The space is _not_ reduced after reflecting. It may be that the
space can be further simplified (especially in the case of non-
orientable manifolds).)doc";
// Docstring regina::python::doc::SFSpace_::reflectors
static const char *reflectors =
R"doc(Returns the total number of reflector boundary components of the base
orbifold. This includes both twisted and untwisted reflector
boundaries.
Returns:
the total number of reflector boundary components.)doc";
// Docstring regina::python::doc::SFSpace_::reflectors_2
static const char *reflectors_2 =
R"doc(Returns the number of reflector boundary components of the given type
in the base orbifold. This either counts only twisted reflector
boundaries, or only untwisted reflector boundaries.
Parameter ``twisted``:
``True`` if only twisted reflector boundaries should be counted
(those that give fibre-reversing paths), or ``False`` if only
untwisted reflector boundaries should be counted.
Returns:
the number of reflector boundaries of the given type.)doc";
// Docstring regina::python::doc::SFSpace_::swap
static const char *swap =
R"doc(Swaps the contents of this and the given Seifert fibred space.
Parameter ``other``:
the space whose contents should be swapped with this.)doc";
}
namespace SFSpace_::Class_ {
// Docstring regina::python::doc::SFSpace_::Class_::bn1
static const char *bn1 =
R"doc(Indicates that the base orbifold contains punctures and/or reflector
boundaries, that it is non-orientable, and that it contains no fibre-
reversing paths.)doc";
// Docstring regina::python::doc::SFSpace_::Class_::bn2
static const char *bn2 =
R"doc(Indicates that the base orbifold contains punctures and/or reflector
boundaries, that it is non-orientable, and that its fibre-reversing
paths correspond precisely to its orientation-reversing paths.)doc";
// Docstring regina::python::doc::SFSpace_::Class_::bn3
static const char *bn3 =
R"doc(Indicates that the base orbifold contains punctures and/or reflector
boundaries, that it is non-orientable, that it contains at least one
fibre-reversing path, and that its fibre-reversing paths do not
correspond precisely to its orientation-reversing paths.)doc";
// Docstring regina::python::doc::SFSpace_::Class_::bo1
static const char *bo1 =
R"doc(Indicates that the base orbifold contains punctures and/or reflector
boundaries, that it is orientable, and that it contains no fibre-
reversing paths.)doc";
// Docstring regina::python::doc::SFSpace_::Class_::bo2
static const char *bo2 =
R"doc(Indicates that the base orbifold contains punctures and/or reflector
boundaries, that it is orientable, and that it contains at least one
fibre-reversing path.)doc";
// Docstring regina::python::doc::SFSpace_::Class_::n1
static const char *n1 =
R"doc(Indicates that the base orbifold is non-orientable with no punctures
or reflector boundaries, and that none of its generators give fibre-
reversing paths.)doc";
// Docstring regina::python::doc::SFSpace_::Class_::n2
static const char *n2 =
R"doc(Indicates that the base orbifold is non-orientable with no punctures
or reflector boundaries, and that all of its generators give fibre-
reversing paths.)doc";
// Docstring regina::python::doc::SFSpace_::Class_::n3
static const char *n3 =
R"doc(Indicates that the base orbifold is non-orientable with no punctures
or reflector boundaries, that it has non-orientable genus at least
two, and that precisely one of its generators gives a fibre-reversing
path.)doc";
// Docstring regina::python::doc::SFSpace_::Class_::n4
static const char *n4 =
R"doc(Indicates that the base orbifold is non-orientable with no punctures
or reflector boundaries, that it has non-orientable genus at least
three, and that precisely two of its generators give fibre-reversing
paths.)doc";
// Docstring regina::python::doc::SFSpace_::Class_::o1
static const char *o1 =
R"doc(Indicates that the base orbifold is orientable with no punctures or
reflector boundaries, and that none of its generators give fibre-
reversing paths.)doc";
// Docstring regina::python::doc::SFSpace_::Class_::o2
static const char *o2 =
R"doc(Indicates that the base orbifold is orientable with no punctures or
reflector boundaries, and that all of its generators give fibre-
reversing paths.)doc";
}
} // namespace regina::python::doc
#if defined(__GNUG__)
#pragma GCC diagnostic pop
#endif
|