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test_simplicial.py
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#!/usr/bin/env python3
# -*- coding: utf-8 -*-
#
# simplicial_test -- a python module to realize simplicial degree-size sequences
#
# Copyright (C) 2020-2021 Tzu-Chi Yen <[email protected]>
#
# This program is free software; you can redistribute it and/or modify it under
# the terms of the GNU Lesser General Public License as published by the Free
# Software Foundation; either version 3 of the License, or (at your option) any
# later version.
#
# 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 Lesser General Public License for more
# details.
#
# You should have received a copy of the GNU Lesser General Public License
# along with this program. If not, see <http://www.gnu.org/licenses/>.
from simplicial_test import Test, compute_joint_seq, if_facets_simplicial
def test_all_ones():
degree_list, size_list = ([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1])
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_all_ones_on_deg_seq():
degree_list, size_list = ([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [10])
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_0():
degree_list, size_list = ([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [10, 1, 1, 1, 1, 1, 1])
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_1():
degree_list, size_list = ([3, 2, 2, 2, 3, 3, 2, 3], [6, 6, 3, 3, 2])
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_2():
degree_list, size_list = ([4, 3, 3, 2, 2, 1, 1, 1], [5, 4, 3, 3, 2])
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_3():
degree_list, size_list = ([3, 2, 3, 1, 1, 2, 2], [6, 4, 4])
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_4():
degree_list, size_list = ([1, 3, 1, 3, 4, 1, 3, 1], [5, 4, 3, 3, 2])
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_5():
degree_list, size_list = ([3, 3, 3, 1, 1, 1, 1, 1, 1], [6, 3, 3, 3])
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_6():
degree_list, size_list = ([2, 2, 2, 1, 2, 1], [5, 3, 2])
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_7():
degree_list, size_list = ([4, 4, 4, 3, 3, 3, 3, 2, 2, 1], [8, 6, 6, 5, 4])
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_8():
degree_list, size_list = ([4, 4, 3, 3, 3, 2, 2], [6, 5, 4, 4, 2])
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_9():
degree_list = [3, 2, 2, 2, 2]
size_list = [4, 3, 2, 2]
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_10():
degree_list = [4, 3, 3, 2, 2, 2, 2, 1]
size_list = [6, 5, 4, 2, 2]
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_11():
degree_list = [4, 3, 2, 2, 2, 2, 2, 2]
size_list = [5, 5, 4, 3, 2]
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_12():
degree_list = [8, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 4, 4]
size_list = [8, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 3]
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_13():
degree_list = [3, 2, 2, 2, 2, 1]
size_list = [4, 4, 2, 2]
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_14():
degree_list, size_list = ([3, 3, 3, 3, 3, 3, 3, 2, 2], [6, 6, 6, 5, 2])
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_15():
degree_list, size_list = ([4, 4, 3, 3, 3, 2, 2, 1, 1, 1], [8, 6, 4, 3, 3])
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_16():
degree_list, size_list = ([4, 3, 3, 3, 3, 3, 3, 2, 2], [6, 6, 6, 6, 2])
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_17():
degree_list, size_list = ([5, 4, 3, 2, 2, 2, 2, 2, 1], [7, 6, 4, 4, 2])
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_18():
degree_list, size_list = (
[11, 9, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4],
[21, 14, 13, 13, 12, 12, 12, 11, 10, 9, 9, 8]
)
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_19():
degree_list, size_list = (
[11, 11, 9, 8, 8, 8, 8, 8, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 3],
[23, 17, 15, 15, 15, 14, 13, 11, 10, 9, 8, 7]
)
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_20():
degree_list, size_list = (
[11, 9, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5],
[16, 15, 13, 13, 11, 11, 10, 10, 9, 9, 4, 4]
)
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_21():
degree_list = [11, 8, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4]
size_list = [14, 12, 11, 9, 8, 8, 8, 8, 5, 5, 4, 3]
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_22():
degree_list = [7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3, 3]
size_list = [11, 10, 8, 7, 7, 7, 7, 4, 4, 3, 2]
st = Test(degree_list, size_list)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
# def test_simplicial_23_valid_trials():
# degree_list, size_list = ([9, 8, 8, 7, 5, 5, 5, 4, 4, 4, 1], [8, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 2])
# st = Test(degree_list, size_list, verbose=0)
# is_simplicial, facets = st.is_simplicial()
# assert is_simplicial is True
# joint_seqs = compute_joint_seq(facets)
# assert if_facets_simplicial(facets) is True
# assert joint_seqs[0] == sorted(degree_list, reverse=True)
# assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_24_valid_trials():
degree_list, size_list = ([8, 7, 6, 6, 6, 1, 1, 1], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3])
st = Test(degree_list, size_list, verbose=0)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
def test_simplicial_25():
degree_list, size_list = ([5, 2, 2, 2, 1, 1], [3, 2, 2, 2, 2, 2])
st = Test(degree_list, size_list, verbose=0)
is_simplicial, facets = st.is_simplicial()
assert is_simplicial is True
joint_seqs = compute_joint_seq(facets)
assert if_facets_simplicial(facets) is True
assert joint_seqs[0] == sorted(degree_list, reverse=True)
assert joint_seqs[1] == sorted(size_list, reverse=True)
# def test_time_consuming_case():
# r"""Plausible instance:
# [[0, 1, 2, 3, 4, 5, 6],
# [7, 8, 9, 10, 5, 3, 0],
# [7, 6, 0, 5, 4, 3],
# [7, 1, 0, 3, 5, 6],
# [7, 1, 4, 2, 5],
# [7, 1, 4, 3, 5],
# [7, 1, 4, 6],
# [7, 1, 4, 0],
# [7, 2, 3],
# [7, 2, 0],
# [7, 2, 6],
# [11, 2, 7],
# [8, 2],
# [8, 1]]
#
# Notes
# -----
# This instance has st.s_depot.conv_time at roughly 123943 (~ 200 sec to compute).... recursive code
#
# """
# degree_list, size_list = ([11, 7, 7, 6, 6, 6, 6, 5, 3, 1, 1, 1], [7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 3, 2, 2])
# st = Test(degree_list, size_list)
# is_simplicial, facets = st.is_simplicial()
# assert is_simplicial is True
# joint_seqs = compute_joint_seq(facets)
# assert if_facets_simplicial(facets) is True
# assert joint_seqs[0] == sorted(degree_list, reverse=True)
# assert joint_seqs[1] == sorted(size_list, reverse=True)