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# Regina - A Normal Surface Theory Calculator
# Python Test Suite Component
#
# Copyright (c) 2007-2025, Ben Burton
# For further details contact Ben Burton (bab@debian.org).
#
# Provides more thorough tests for different types of triangulation.
#
# This file is a single component of Regina's python test suite. To run
# the python test suite, move to the main python directory in the source
# tree and run "make check".
#
# This program is free software; you can redistribute it and/or
# modify it under the terms of the GNU General Public License as
# published by the Free Software Foundation; either version 2 of the
# License, or (at your option) any later version.
#
# As an exception, when this program is distributed through (i) the
# App Store by Apple Inc.; (ii) the Mac App Store by Apple Inc.; or
# (iii) Google Play by Google Inc., then that store may impose any
# digital rights management, device limits and/or redistribution
# restrictions that are required by its terms of service.
#
# This program is distributed in the hope that it will be useful, but
# WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
# General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program. If not, see <https://www.gnu.org/licenses/>.
import hashlib
def checksum(str):
h = hashlib.md5()
h.update(str.encode('utf-8'))
return h.hexdigest()
def vitalStats(tri, name):
# To guard against accidental changes.
old = tri.detail()
print("-------------------------------")
print(name)
print("-------------------------------")
print()
print(tri.detail())
print(tri.countComponents(), "components")
print(tri.countBoundaryComponents(), "boundary components")
print(tri.countTetrahedra(), "tetrahedra")
print(tri.countTriangles(), "triangles")
print(tri.countEdges(), "edges")
print(tri.countVertices(), "vertices")
print("2-sphere boundaries:", tri.hasTwoSphereBoundaryComponents())
print("Negative ideal boundaries:", tri.hasNegativeIdealBoundaryComponents())
print("EC:", tri.eulerCharTri())
print("Valid:", tri.isValid())
print("Ideal:", tri.isIdeal())
print("Standard:", tri.isStandard())
print("Boundary Triangles:", tri.hasBoundaryTriangles())
print("Closed:", tri.isClosed())
print("Orientable:", tri.isOrientable())
print("Connected:", tri.isConnected())
print()
print("Fundamental group:", tri.fundamentalGroup().recogniseGroup())
# Don't print the full generators and relations for now, since this
# is not unique and can therefore lead to spurious test failures.
# print tri.fundamentalGroup().detail()
print("H1:", tri.homology())
if tri.isValid():
print("H1Bdry:", tri.homologyBdry())
print("H1Rel:", tri.homologyRel())
print("H2:", tri.homology(2))
print("H2Z2:", tri.homologyH2Z2(), "Z_2")
if tri.isValid() and tri.isClosed() and tri.countTetrahedra() > 0:
print("TV(5, 3) =", tri.turaevViro(5, 3))
tv = tri.turaevViroApprox(5, 3)
# We round the figures to 5 decimal places so that machines with
# different precisions do not give different output.
# The case of 0 must also be handled specially, since rounding
# may give either 0 or -0.
if tv < 0.00001 and tv > -0.00001:
tv = 0
print("TV(5, 3) ~ %.5f" % tv)
# Normal surface computations should only be run on sufficiently
# small triangulations, so as to keep the tests relatively fast.
if tri.countTetrahedra() < 7:
print("0-efficient:", tri.isZeroEfficient())
if tri.isConnected():
print("Splitting surface:", tri.hasSplittingSurface())
# Though this can use normal surfaces, its prechecks and
# optimisations should make it fast enough for our examples.
print("3-sphere:", tri.isSphere())
# Some of the following operations can create large triangulations,
# which give *lots* of output when we try to dump their face gluings
# and skeletal details. We'd like to keep the output files small,
# so dump checksums of the details instead of the details themselves.
print("Double cover:")
t = regina.Triangulation3(tri)
t.makeDoubleCover()
print("Checksum =", checksum(t.detail()))
print("Ideal to finite:")
t = regina.Triangulation3(tri)
print("Result =", t.truncateIdeal())
print("Checksum =", checksum(t.detail()))
print("Finite to ideal:")
t = regina.Triangulation3(tri)
print("Result =", t.makeIdeal())
print("Checksum =", checksum(t.detail()))
print("Barycentric subdivision:")
t = regina.Triangulation3(tri)
t.subdivide()
print("Checksum =", checksum(t.detail()))
try:
print("Dehydration:", tri.dehydrate())
except NotImplemented:
print("Dehydration: (none)")
print("Isomorphism signature:", tri.isoSig())
print("Result of splitIntoComponents:", len(tri.triangulateComponents()))
if tri.detail() != old:
print("ERROR: Original triangulation has changed!")
print()
t = regina.Triangulation3()
vitalStats(t, 'Empty triangulation')
vitalStats(regina.Example3.threeSphere(), '3-sphere')
vitalStats(regina.Example3.s2xs1(), 'S2 x S1')
vitalStats(regina.Example3.rp2xs1(), 'RP2 x S1')
vitalStats(regina.Example3.rp3rp3(), 'RP3 # RP3')
vitalStats(regina.Example3.lens(8,3), 'L(8,3)')
vitalStats(regina.Example3.poincare(), 'Poincare homology sphere')
vitalStats(regina.Example3.smallClosedOrblHyperbolic(), 'Closed orientable hyperbolic 3-manifold')
vitalStats(regina.Example3.smallClosedNonOrblHyperbolic(), 'Closed non-orientable hyperbolic 3-manifold')
vitalStats(regina.Example3.lst(3,4), 'LST(3,4,7)')
vitalStats(regina.Example3.solidKleinBottle(), 'Solid Klein bottle')
vitalStats(regina.Example3.figureEight(), 'Figure eight knot complement')
vitalStats(regina.Example3.whiteheadLink(), 'Whitehead link complement')
vitalStats(regina.Example3.gieseking(), 'Gieseking manifold')
vitalStats(regina.Example3.cuspedGenusTwoTorus(), 'Cusped genus two solid torus')
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