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test__hyperct_old.py
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#from hyperct import *
from ddgclib._complex import *
def func(x):
import numpy
return numpy.sum((x - 3) ** 2) + 2.0 * (x[0] + 10)
def g_cons(x): # (Requires n > 2)
# return x[0] - 0.5 * x[2] + 0.5
return x[0] # + x[2] #+ 0.5
def init_triangulation(n, gen, check, nn_checks=None, bounds=None):
HC = Complex(n, domain=bounds)
HC.triangulate()
print(f'HC.V.printout = {HC.V.print_out()}')
#HC.refine(1) # Add centroid
#HC.triangulate_c()
for i in range(gen):
#HC.split_generation()
HC.refine_all()
print(f'HC.V.printout = {HC.V.print_out()}')
# Test that all the correct vertices are present
if bounds is None:
for i, v in enumerate(HC.V.cache):
#numpy.testing.assert_equal(check[i], v)
# Unordered check 1:
print(f'Test if generated v.x = {v} is in reference complex')
numpy.testing.assert_equal(v in check, True)
for i, v in enumerate(check):
# Unordered check 2:
print(f'Test if reference v.x = {v} is in generated complex')
numpy.testing.assert_equal(v in HC.V.cache, True)
else:
for i, v in enumerate(HC.V.cache):
#numpy.testing.assert_equal(check[i], v)
# Unordered check 1:
print(f'Test if generated v.x = {v} is in reference complex')
numpy.testing.assert_equal(v in check, True)
for i, v in enumerate(check):
# Unordered check 2:
print(f'Test if reference v.x = {v} is in generated complex')
numpy.testing.assert_equal(v in HC.V.cache, True)
#for i, v in enumerate(HC.V.cache):
# numpy.testing.assert_equal(check[i], tuple(HC.V[v].x_a))
# Build checks
nnck = [(0.3, -3.9, -1.5, -3.0, -9.5), (0.3, -3.9, -1.5, 1.0, 11000.5),
(0.475, 0.025000000000000133, -1.4, 3.0, 8248.0)]
testout = {}
for v in nnck:
nn_check = []
for v2 in HC.V[v].nn:
nn_check.append(v2.x)
testout[v] = nn_check
print(f'nn_checks = {testout}')
# Test if the vertex connections are correct
if nn_checks is not None:
for v in nn_checks:
print('-'*5)
print(f'checking v.nn of v.x = {v}')
nn_check = []
for v2 in HC.V[v].nn:
nn_check.append(v2.x)
print(f'v2.x = {v2.x}')
print(f'nn_checks = {nn_checks}')
print(f'nn_checks[v] = {nn_checks[v]}')
print(f'nn_check = {nn_check}')
print(f'numpy.lexsort(nn_check) = {numpy.lexsort(nn_check)}')
print(f'numpy.lexsort(numpy.rot90(nn_check)) = '
f'{numpy.lexsort(numpy.rot90(nn_check))}')
print(f' numpy.array(nn_check)[numpy.lexsort(numpy.rot90(nn_check))] = '
f'{numpy.array(nn_check)[numpy.lexsort(numpy.rot90(nn_check))]}')
print(f' numpy.array(nn_checks[v])[numpy.lexsort(numpy.rot90(nn_checks[v]))] = '
f'{numpy.array(nn_checks[v])[numpy.lexsort(numpy.rot90(nn_checks[v]))]}')
numpy.testing.assert_equal(
numpy.array(nn_check)[numpy.lexsort(numpy.rot90(nn_check))],
numpy.array(nn_checks[v])[numpy.lexsort(numpy.rot90(nn_checks[v]))]
)
# Test
class TestCube(object):
def test_1_1_2D_cube_init(self): # TODO: REMOVE FUNC AFTER SPLIT
"""Test that the initial 2D cube has the correct coords"""
check = [(0, 0), (1, 1), (1, 0), (0, 1), (0.5, 0.5)]
nn_checks = {(0.5, 0.5): [(0, 1), (1, 0), (0, 0), (1, 1)],
(0, 1): [(0, 0), (1, 1), (0.5, 0.5)]}
init_triangulation(2, 0, check, nn_checks)
def test_1_2_2D_cube_splits(self):
"""Test that the 2D cube subtriangulations has the correct coords"""
check = [(0, 0), (1, 1), (1, 0), (0, 1), (0.5, 0.5), (0.0, 0.5),
(0.5, 0.0),
(0.25, 0.25), (1.0, 0.5), (0.5, 1.0), (0.75, 0.75),
(0.75, 0.25),
(0.25, 0.75), (0.5, 0.25), (0.25, 0.5), (0.375, 0.375),
(0.0, 0.25),
(0.25, 0.0), (0.125, 0.125), (0.125, 0.375), (0.375, 0.125),
(0.5, 0.75), (0.75, 0.5), (0.625, 0.625), (1.0, 0.75),
(0.75, 1.0),
(0.875, 0.875), (0.875, 0.625), (0.625, 0.875), (0.625, 0.375),
(1.0, 0.25), (0.75, 0.0), (0.875, 0.125), (0.875, 0.375),
(0.625, 0.125), (0.375, 0.625), (0.0, 0.75), (0.25, 1.0),
(0.125, 0.875), (0.125, 0.625), (0.375, 0.875)]
nn_checks = {(0, 0): [(0.25, 0.0), (0.0, 0.25), (0.125, 0.125)],
(0.625, 0.375): [(0.5, 0.5), (0.75, 0.25), (0.75, 0.5),
(0.5, 0.25)],
(0, 1): [(0.25, 1.0), (0.125, 0.875),(0.0, 0.75)],
(0.625, 0.125): [(0.5, 0.0), (0.75, 0.25), (0.75, 0.0),
(0.5, 0.25)]}
init_triangulation(2, 2, check, nn_checks)
def test_2_1_3D_cube_init(self):
"""Test that the initial 3D cube has the correct coords"""
check = [(0, 0, 0), (1, 1, 1), (1, 0, 0), (1, 1, 0), (1, 0, 1),
(0, 1, 0), (0, 1, 1), (0, 0, 1), (0.5, 0.5, 0.5)]
nn_checks = {
(1, 1, 1): [(1, 1, 0), (0, 1, 1), (1, 0, 0), (0, 0, 1), (1, 0, 1),
(0.5, 0.5, 0.5), (0, 1, 0)],
(1, 0, 1): [(1, 0, 0), (0, 0, 1), (0, 0, 0), (0.5, 0.5, 0.5),
(1, 1, 1)],
(0.5, 0.5, 0.5): [(1, 1, 0), (0, 1, 1), (0, 1, 0), (1, 0, 0),
(0, 0, 1), (1, 0, 1), (0, 0, 0), (1, 1, 1)]}
init_triangulation(3, 0, check, nn_checks)
def test_2_2_3D_cube_splits(self):
"""Test that the 3D cube subtriangulations has the correct coords"""
check = [(0, 0, 0), (1, 1, 1), (1, 0, 0), (1, 1, 0), (1, 0, 1),
(0, 1, 0),
(0, 1, 1), (0, 0, 1), (0.5, 0.5, 0.5), (0.0, 0.5, 0.5),
(0.0, 0.0, 0.5), (0.0, 0.5, 0.0), (0.5, 0.0, 0.5),
(0.5, 0.0, 0.0),
(0.5, 0.5, 0.0), (0.25, 0.25, 0.25), (1.0, 0.5, 0.5),
(1.0, 1.0, 0.5),
(1.0, 0.5, 1.0), (0.5, 1.0, 0.5), (0.5, 1.0, 1.0),
(0.5, 0.5, 1.0),
(0.75, 0.75, 0.75), (1.0, 0.0, 0.5), (1.0, 0.5, 0.0),
(0.75, 0.25, 0.25), (0.5, 1.0, 0.0), (0.75, 0.75, 0.25),
(0.5, 0.0, 1.0), (0.75, 0.25, 0.75), (0.0, 1.0, 0.5),
(0.25, 0.75, 0.25), (0.0, 0.5, 1.0), (0.25, 0.75, 0.75),
(0.25, 0.25, 0.75), (0.5, 0.25, 0.25), (0.5, 0.5, 0.25),
(0.5, 0.25, 0.5), (0.25, 0.5, 0.25), (0.25, 0.5, 0.5),
(0.25, 0.25, 0.5), (0.375, 0.375, 0.375), (0.0, 0.25, 0.25),
(0.0, 0.0, 0.25), (0.0, 0.25, 0.0), (0.25, 0.0, 0.25),
(0.25, 0.0, 0.0), (0.25, 0.25, 0.0), (0.125, 0.125, 0.125),
(0.0, 0.5, 0.25), (0.0, 0.25, 0.5), (0.125, 0.375, 0.375),
(0.25, 0.0, 0.5), (0.125, 0.125, 0.375), (0.25, 0.5, 0.0),
(0.125, 0.375, 0.125), (0.5, 0.0, 0.25), (0.375, 0.125, 0.375),
(0.5, 0.25, 0.0), (0.375, 0.125, 0.125), (0.375, 0.375, 0.125),
(0.5, 0.75, 0.75), (0.5, 0.5, 0.75), (0.5, 0.75, 0.5),
(0.75, 0.5, 0.75), (0.75, 0.5, 0.5), (0.75, 0.75, 0.5),
(0.625, 0.625, 0.625), (1.0, 0.75, 0.75), (1.0, 1.0, 0.75),
(1.0, 0.75, 1.0), (0.75, 1.0, 0.75), (0.75, 1.0, 1.0),
(0.75, 0.75, 1.0), (0.875, 0.875, 0.875), (1.0, 0.5, 0.75),
(1.0, 0.75, 0.5), (0.875, 0.625, 0.625), (0.75, 1.0, 0.5),
(0.875, 0.875, 0.625), (0.75, 0.5, 1.0), (0.875, 0.625, 0.875),
(0.5, 1.0, 0.75), (0.625, 0.875, 0.625), (0.5, 0.75, 1.0),
(0.625, 0.875, 0.875), (0.625, 0.625, 0.875),
(0.75, 0.5, 0.25),
(0.75, 0.25, 0.5), (0.625, 0.375, 0.375), (1.0, 0.25, 0.25),
(1.0, 0.0, 0.25), (1.0, 0.25, 0.0), (0.75, 0.0, 0.25),
(0.75, 0.0, 0.0), (0.75, 0.25, 0.0), (0.875, 0.125, 0.125),
(1.0, 0.5, 0.25), (1.0, 0.25, 0.5), (0.875, 0.375, 0.375),
(0.75, 0.0, 0.5), (0.875, 0.125, 0.375), (0.75, 0.5, 0.0),
(0.875, 0.375, 0.125), (0.625, 0.125, 0.375),
(0.625, 0.125, 0.125),
(0.625, 0.375, 0.125), (0.5, 0.75, 0.25),
(0.625, 0.625, 0.375),
(1.0, 0.75, 0.25), (1.0, 1.0, 0.25), (1.0, 0.75, 0.0),
(0.75, 1.0, 0.25), (0.75, 1.0, 0.0), (0.75, 0.75, 0.0),
(0.875, 0.875, 0.125), (0.875, 0.625, 0.375),
(0.875, 0.875, 0.375),
(0.875, 0.625, 0.125), (0.5, 1.0, 0.25), (0.625, 0.875, 0.375),
(0.5, 0.75, 0.0), (0.625, 0.875, 0.125), (0.625, 0.625, 0.125),
(0.5, 0.25, 0.75), (0.625, 0.375, 0.625), (1.0, 0.25, 0.75),
(1.0, 0.0, 0.75), (1.0, 0.25, 1.0), (0.75, 0.0, 0.75),
(0.75, 0.0, 1.0), (0.75, 0.25, 1.0), (0.875, 0.125, 0.875),
(0.875, 0.375, 0.625), (0.875, 0.125, 0.625),
(0.875, 0.375, 0.875),
(0.5, 0.0, 0.75), (0.625, 0.125, 0.625), (0.5, 0.25, 1.0),
(0.625, 0.125, 0.875), (0.625, 0.375, 0.875),
(0.25, 0.75, 0.5),
(0.375, 0.625, 0.375), (0.0, 0.75, 0.25), (0.0, 1.0, 0.25),
(0.0, 0.75, 0.0), (0.25, 1.0, 0.25), (0.25, 1.0, 0.0),
(0.25, 0.75, 0.0), (0.125, 0.875, 0.125), (0.0, 0.75, 0.5),
(0.125, 0.625, 0.375), (0.25, 1.0, 0.5), (0.125, 0.875, 0.375),
(0.125, 0.625, 0.125), (0.375, 0.875, 0.375),
(0.375, 0.875, 0.125),
(0.375, 0.625, 0.125), (0.25, 0.5, 0.75),
(0.375, 0.625, 0.625),
(0.0, 0.75, 0.75), (0.0, 1.0, 0.75), (0.0, 0.75, 1.0),
(0.25, 1.0, 0.75), (0.25, 1.0, 1.0), (0.25, 0.75, 1.0),
(0.125, 0.875, 0.875), (0.0, 0.5, 0.75), (0.125, 0.625, 0.625),
(0.125, 0.875, 0.625), (0.25, 0.5, 1.0), (0.125, 0.625, 0.875),
(0.375, 0.875, 0.625), (0.375, 0.875, 0.875),
(0.375, 0.625, 0.875),
(0.375, 0.375, 0.625), (0.0, 0.25, 0.75), (0.0, 0.0, 0.75),
(0.0, 0.25, 1.0), (0.25, 0.0, 0.75), (0.25, 0.0, 1.0),
(0.25, 0.25, 1.0), (0.125, 0.125, 0.875),
(0.125, 0.375, 0.625),
(0.125, 0.125, 0.625), (0.125, 0.375, 0.875),
(0.375, 0.125, 0.625),
(0.375, 0.125, 0.875), (0.375, 0.375, 0.875)]
nn_checks = {(0.5, 0.25, 0.25): [(0.375, 0.375, 0.125), (0.5, 0.5, 0.0),
(0.75, 0.25, 0.25),
(0.625, 0.375, 0.375),
(0.625, 0.125, 0.375),
(0.625, 0.125, 0.125),
(0.5, 0.5, 0.25), (0.25, 0.25, 0.25),
(0.375, 0.375, 0.375),
(0.5, 0.25, 0.5), (0.5, 0.5, 0.5),
(0.5, 0.0, 0.25),
(0.375, 0.125, 0.375), (0.5, 0.0, 0.5),
(0.5, 0.25, 0.0),
(0.375, 0.125, 0.125), (0.5, 0.0, 0.0),
(0.625, 0.375, 0.125)],
(0.625, 0.625, 0.875): [(0.75, 0.5, 1.0),
(0.75, 0.75, 1.0),
(0.5, 0.75, 1.0), (0.5, 0.5, 1.0),
(0.5, 0.5, 0.75),
(0.5, 0.75, 0.75),
(0.75, 0.5, 0.75),
(0.75, 0.75, 0.75)],
(0, 0, 0): [(0.0, 0.25, 0.0), (0.125, 0.125, 0.125),
(0.0, 0.0, 0.25), (0.25, 0.0, 0.0),
(0.0, 0.25, 0.25), (0.25, 0.25, 0.0),
(0.25, 0.0, 0.25)]}
init_triangulation(3, 2, check, nn_checks)
def test_3_1_4D_cube_init(self):
"""Test that the initial 4D cube has the correct coords"""
check = [(0, 0, 0, 0), (1, 1, 1, 1), (1, 0, 0, 0), (1, 1, 0, 0),
(1, 1, 1, 0), (1, 1, 0, 1), (1, 0, 1, 0), (1, 0, 1, 1),
(1, 0, 0, 1), (0, 1, 0, 0), (0, 1, 1, 0), (0, 1, 1, 1),
(0, 1, 0, 1), (0, 0, 1, 0), (0, 0, 1, 1), (0, 0, 0, 1),
(0.5, 0.5, 0.5, 0.5)]
nn_checks = {(0, 1, 1, 0): [(1, 1, 1, 0), (0, 1, 1, 1), (1, 1, 1, 1),
(0, 1, 0, 0), (0, 0, 1, 0), (0, 0, 0, 0),
(0.5, 0.5, 0.5, 0.5)],
(0.5, 0.5, 0.5, 0.5): [(1, 1, 0, 1), (1, 0, 1, 1),
(1, 1, 1, 0), (1, 0, 0, 0),
(1, 1, 0, 0), (1, 0, 1, 0),
(0, 1, 1, 1), (0, 0, 0, 1),
(1, 1, 1, 1), (1, 0, 0, 1),
(0, 1, 0, 0), (0, 0, 1, 0),
(0, 0, 0, 0), (0, 1, 1, 0),
(0, 1, 0, 1), (0, 0, 1, 1)],
(1, 0, 0, 0): [(1, 1, 0, 1), (1, 0, 1, 1), (1, 1, 1, 0),
(1, 1, 0, 0), (1, 0, 1, 0), (1, 1, 1, 1),
(1, 0, 0, 1), (0, 0, 0, 0),
(0.5, 0.5, 0.5, 0.5)]}
init_triangulation(4, 0, check, nn_checks)
def test_3_2_4D_cube_splits(self):
"""Test that the 4D cube subtriangulations has the correct coords"""
check = [(0, 0, 0, 0), (1, 1, 1, 1), (1, 0, 0, 0), (1, 1, 0, 0),
(1, 1, 1, 0),
(1, 1, 0, 1), (1, 0, 1, 0), (1, 0, 1, 1), (1, 0, 0, 1),
(0, 1, 0, 0),
(0, 1, 1, 0), (0, 1, 1, 1), (0, 1, 0, 1), (0, 0, 1, 0),
(0, 0, 1, 1),
(0, 0, 0, 1), (0.5, 0.5, 0.5, 0.5), (0.0, 0.5, 0.5, 0.5),
(0.0, 0.0, 0.5, 0.5), (0.0, 0.0, 0.0, 0.5),
(0.0, 0.0, 0.5, 0.0),
(0.0, 0.5, 0.0, 0.5), (0.0, 0.5, 0.0, 0.0),
(0.0, 0.5, 0.5, 0.0),
(0.5, 0.0, 0.5, 0.5), (0.5, 0.0, 0.0, 0.5),
(0.5, 0.0, 0.0, 0.0),
(0.5, 0.0, 0.5, 0.0), (0.5, 0.5, 0.0, 0.5),
(0.5, 0.5, 0.0, 0.0),
(0.5, 0.5, 0.5, 0.0), (0.25, 0.25, 0.25, 0.25),
(1.0, 0.5, 0.5, 0.5),
(1.0, 1.0, 0.5, 0.5), (1.0, 1.0, 1.0, 0.5),
(1.0, 1.0, 0.5, 1.0),
(1.0, 0.5, 1.0, 0.5), (1.0, 0.5, 1.0, 1.0),
(1.0, 0.5, 0.5, 1.0),
(0.5, 1.0, 0.5, 0.5), (0.5, 1.0, 1.0, 0.5),
(0.5, 1.0, 1.0, 1.0),
(0.5, 1.0, 0.5, 1.0), (0.5, 0.5, 1.0, 0.5),
(0.5, 0.5, 1.0, 1.0),
(0.5, 0.5, 0.5, 1.0), (0.75, 0.75, 0.75, 0.75),
(1.0, 0.0, 0.5, 0.5),
(1.0, 0.0, 0.0, 0.5), (1.0, 0.0, 0.5, 0.0),
(1.0, 0.5, 0.0, 0.5),
(1.0, 0.5, 0.0, 0.0), (1.0, 0.5, 0.5, 0.0),
(0.75, 0.25, 0.25, 0.25),
(1.0, 1.0, 0.0, 0.5), (1.0, 1.0, 0.5, 0.0),
(0.5, 1.0, 0.0, 0.5),
(0.5, 1.0, 0.0, 0.0), (0.5, 1.0, 0.5, 0.0),
(0.75, 0.75, 0.25, 0.25),
(1.0, 0.5, 1.0, 0.0), (0.5, 1.0, 1.0, 0.0),
(0.5, 0.5, 1.0, 0.0),
(0.75, 0.75, 0.75, 0.25), (1.0, 0.5, 0.0, 1.0),
(0.5, 1.0, 0.0, 1.0),
(0.5, 0.5, 0.0, 1.0), (0.75, 0.75, 0.25, 0.75),
(1.0, 0.0, 1.0, 0.5),
(0.5, 0.0, 1.0, 0.5), (0.5, 0.0, 1.0, 0.0),
(0.75, 0.25, 0.75, 0.25),
(1.0, 0.0, 0.5, 1.0), (0.5, 0.0, 1.0, 1.0),
(0.5, 0.0, 0.5, 1.0),
(0.75, 0.25, 0.75, 0.75), (0.5, 0.0, 0.0, 1.0),
(0.75, 0.25, 0.25, 0.75), (0.0, 1.0, 0.5, 0.5),
(0.0, 1.0, 0.0, 0.5),
(0.0, 1.0, 0.5, 0.0), (0.25, 0.75, 0.25, 0.25),
(0.0, 1.0, 1.0, 0.5),
(0.0, 0.5, 1.0, 0.5), (0.0, 0.5, 1.0, 0.0),
(0.25, 0.75, 0.75, 0.25),
(0.0, 1.0, 0.5, 1.0), (0.0, 0.5, 1.0, 1.0),
(0.0, 0.5, 0.5, 1.0),
(0.25, 0.75, 0.75, 0.75), (0.0, 0.5, 0.0, 1.0),
(0.25, 0.75, 0.25, 0.75), (0.0, 0.0, 1.0, 0.5),
(0.25, 0.25, 0.75, 0.25), (0.0, 0.0, 0.5, 1.0),
(0.25, 0.25, 0.75, 0.75), (0.25, 0.25, 0.25, 0.75)]
nn_checks = {(0, 0, 0, 0): [(0.0, 0.5, 0.5, 0.0), (0.5, 0.0, 0.5, 0.5),
(0.5, 0.5, 0.0, 0.5),
(0.25, 0.25, 0.25, 0.25),
(0.5, 0.0, 0.0, 0.5), (0.5, 0.0, 0.5, 0.0),
(0.5, 0.5, 0.0, 0.0), (0.0, 0.0, 0.5, 0.0),
(0.0, 0.5, 0.0, 0.0), (0.0, 0.0, 0.0, 0.5),
(0.0, 0.5, 0.5, 0.5), (0.0, 0.0, 0.5, 0.5),
(0.0, 0.5, 0.0, 0.5), (0.5, 0.0, 0.0, 0.0),
(0.5, 0.5, 0.5, 0.0)],
(1.0, 1.0, 0.5, 0.5): [(1.0, 1.0, 0.5, 1.0), (1, 1, 0, 1),
(1.0, 1.0, 1.0, 0.5),
(1.0, 0.5, 0.5, 0.5), (1, 1, 1, 0),
(1.0, 1.0, 0.5, 0.0),
(1.0, 1.0, 0.0, 0.5), (1, 1, 0, 0),
(1, 1, 1, 1), (0.5, 1.0, 0.5, 0.5),
(0.5, 0.5, 0.5, 0.5),
(0.75, 0.75, 0.75, 0.75),
(0.75, 0.75, 0.25, 0.25),
(0.75, 0.75, 0.75, 0.25),
(0.75, 0.75, 0.25, 0.75)],
(0.25, 0.25, 0.25, 0.75): [(0.0, 0.0, 0.5, 1.0),
(0.0, 0.5, 0.0, 1.0),
(0.5, 0.0, 0.0, 1.0),
(0.5, 0.5, 0.5, 1.0),
(0, 0, 0, 1),
(0.0, 0.5, 0.5, 1.0),
(0.5, 0.0, 0.5, 1.0),
(0.5, 0.5, 0.0, 1.0),
(0.0, 0.0, 0.0, 0.5),
(0.0, 0.0, 0.5, 0.5),
(0.0, 0.5, 0.5, 0.5),
(0.0, 0.5, 0.0, 0.5),
(0.5, 0.0, 0.5, 0.5),
(0.5, 0.5, 0.0, 0.5),
(0.5, 0.5, 0.5, 0.5),
(0.5, 0.0, 0.0, 0.5)]}
init_triangulation(4, 1, check, nn_checks)
def test_4_1_5D_cube_init(self):
"""Test that the initial 5D cube has the correct coords"""
check = [(0, 0, 0, 0, 0), (1, 1, 1, 1, 1), (1, 0, 0, 0, 0),
(1, 1, 0, 0, 0),
(1, 1, 1, 0, 0), (1, 1, 1, 1, 0), (1, 1, 1, 0, 1),
(1, 1, 0, 1, 0),
(1, 1, 0, 1, 1), (1, 1, 0, 0, 1), (1, 0, 1, 0, 0),
(1, 0, 1, 1, 0),
(1, 0, 1, 1, 1), (1, 0, 1, 0, 1), (1, 0, 0, 1, 0),
(1, 0, 0, 1, 1),
(1, 0, 0, 0, 1), (0, 1, 0, 0, 0), (0, 1, 1, 0, 0),
(0, 1, 1, 1, 0),
(0, 1, 1, 1, 1), (0, 1, 1, 0, 1), (0, 1, 0, 1, 0),
(0, 1, 0, 1, 1),
(0, 1, 0, 0, 1), (0, 0, 1, 0, 0), (0, 0, 1, 1, 0),
(0, 0, 1, 1, 1),
(0, 0, 1, 0, 1), (0, 0, 0, 1, 0), (0, 0, 0, 1, 1),
(0, 0, 0, 0, 1),
(0.5, 0.5, 0.5, 0.5, 0.5)]
nn_checks = {(0, 1, 0, 1, 1): [(0, 0, 0, 0, 0), (
0.5, 0.5, 0.5, 0.5, 0.5), (0, 0, 0, 1, 1), (1, 1, 0, 1, 1),
(0, 1, 0, 0, 0),
(0, 1, 0, 0, 1),
(0, 1, 0, 1, 0),
(0, 0, 0, 0, 1),
(1, 1, 1, 1, 1),
(0, 1, 1, 1, 1),
(0, 0, 0, 1, 0)]}
init_triangulation(5, 0, check, nn_checks)
def test_4_2_5D_cube_splits(self):
"""Test that the 5D cube subtriangulations has the correct coords"""
check = [(0, 0, 0, 0, 0), (1, 1, 1, 1, 1), (1, 0, 0, 0, 0),
(1, 1, 0, 0, 0), (1, 1, 1, 0, 0), (1, 1, 1, 1, 0),
(1, 1, 1, 0, 1), (1, 1, 0, 1, 0), (1, 1, 0, 1, 1),
(1, 1, 0, 0, 1), (1, 0, 1, 0, 0), (1, 0, 1, 1, 0),
(1, 0, 1, 1, 1), (1, 0, 1, 0, 1), (1, 0, 0, 1, 0),
(1, 0, 0, 1, 1), (1, 0, 0, 0, 1), (0, 1, 0, 0, 0),
(0, 1, 1, 0, 0), (0, 1, 1, 1, 0), (0, 1, 1, 1, 1),
(0, 1, 1, 0, 1), (0, 1, 0, 1, 0), (0, 1, 0, 1, 1),
(0, 1, 0, 0, 1), (0, 0, 1, 0, 0), (0, 0, 1, 1, 0),
(0, 0, 1, 1, 1), (0, 0, 1, 0, 1), (0, 0, 0, 1, 0),
(0, 0, 0, 1, 1), (0, 0, 0, 0, 1), (0.5, 0.5, 0.5, 0.5, 0.5),
(0.0, 0.5, 0.5, 0.5, 0.5), (0.0, 0.0, 0.5, 0.5, 0.5),
(0.0, 0.0, 0.0, 0.5, 0.5), (0.0, 0.0, 0.0, 0.0, 0.5),
(0.0, 0.0, 0.0, 0.5, 0.0), (0.0, 0.0, 0.5, 0.0, 0.5),
(0.0, 0.0, 0.5, 0.0, 0.0), (0.0, 0.0, 0.5, 0.5, 0.0),
(0.0, 0.5, 0.0, 0.5, 0.5), (0.0, 0.5, 0.0, 0.0, 0.5),
(0.0, 0.5, 0.0, 0.0, 0.0), (0.0, 0.5, 0.0, 0.5, 0.0),
(0.0, 0.5, 0.5, 0.0, 0.5), (0.0, 0.5, 0.5, 0.0, 0.0),
(0.0, 0.5, 0.5, 0.5, 0.0), (0.5, 0.0, 0.5, 0.5, 0.5),
(0.5, 0.0, 0.0, 0.5, 0.5), (0.5, 0.0, 0.0, 0.0, 0.5),
(0.5, 0.0, 0.0, 0.0, 0.0), (0.5, 0.0, 0.0, 0.5, 0.0),
(0.5, 0.0, 0.5, 0.0, 0.5), (0.5, 0.0, 0.5, 0.0, 0.0),
(0.5, 0.0, 0.5, 0.5, 0.0), (0.5, 0.5, 0.0, 0.5, 0.5),
(0.5, 0.5, 0.0, 0.0, 0.5), (0.5, 0.5, 0.0, 0.0, 0.0),
(0.5, 0.5, 0.0, 0.5, 0.0), (0.5, 0.5, 0.5, 0.0, 0.5),
(0.5, 0.5, 0.5, 0.0, 0.0), (0.5, 0.5, 0.5, 0.5, 0.0),
(0.25, 0.25, 0.25, 0.25, 0.25), (1.0, 0.5, 0.5, 0.5, 0.5),
(1.0, 1.0, 0.5, 0.5, 0.5), (1.0, 1.0, 1.0, 0.5, 0.5),
(1.0, 1.0, 1.0, 1.0, 0.5), (1.0, 1.0, 1.0, 0.5, 1.0),
(1.0, 1.0, 0.5, 1.0, 0.5), (1.0, 1.0, 0.5, 1.0, 1.0),
(1.0, 1.0, 0.5, 0.5, 1.0), (1.0, 0.5, 1.0, 0.5, 0.5),
(1.0, 0.5, 1.0, 1.0, 0.5), (1.0, 0.5, 1.0, 1.0, 1.0),
(1.0, 0.5, 1.0, 0.5, 1.0), (1.0, 0.5, 0.5, 1.0, 0.5),
(1.0, 0.5, 0.5, 1.0, 1.0), (1.0, 0.5, 0.5, 0.5, 1.0),
(0.5, 1.0, 0.5, 0.5, 0.5), (0.5, 1.0, 1.0, 0.5, 0.5),
(0.5, 1.0, 1.0, 1.0, 0.5), (0.5, 1.0, 1.0, 1.0, 1.0),
(0.5, 1.0, 1.0, 0.5, 1.0), (0.5, 1.0, 0.5, 1.0, 0.5),
(0.5, 1.0, 0.5, 1.0, 1.0), (0.5, 1.0, 0.5, 0.5, 1.0),
(0.5, 0.5, 1.0, 0.5, 0.5), (0.5, 0.5, 1.0, 1.0, 0.5),
(0.5, 0.5, 1.0, 1.0, 1.0), (0.5, 0.5, 1.0, 0.5, 1.0),
(0.5, 0.5, 0.5, 1.0, 0.5), (0.5, 0.5, 0.5, 1.0, 1.0),
(0.5, 0.5, 0.5, 0.5, 1.0), (0.75, 0.75, 0.75, 0.75, 0.75),
(1.0, 0.0, 0.5, 0.5, 0.5), (1.0, 0.0, 0.0, 0.5, 0.5),
(1.0, 0.0, 0.0, 0.0, 0.5), (1.0, 0.0, 0.0, 0.5, 0.0),
(1.0, 0.0, 0.5, 0.0, 0.5), (1.0, 0.0, 0.5, 0.0, 0.0),
(1.0, 0.0, 0.5, 0.5, 0.0), (1.0, 0.5, 0.0, 0.5, 0.5),
(1.0, 0.5, 0.0, 0.0, 0.5), (1.0, 0.5, 0.0, 0.0, 0.0),
(1.0, 0.5, 0.0, 0.5, 0.0), (1.0, 0.5, 0.5, 0.0, 0.5),
(1.0, 0.5, 0.5, 0.0, 0.0), (1.0, 0.5, 0.5, 0.5, 0.0),
(0.75, 0.25, 0.25, 0.25, 0.25), (1.0, 1.0, 0.0, 0.5, 0.5),
(1.0, 1.0, 0.0, 0.0, 0.5), (1.0, 1.0, 0.0, 0.5, 0.0),
(1.0, 1.0, 0.5, 0.0, 0.5), (1.0, 1.0, 0.5, 0.0, 0.0),
(1.0, 1.0, 0.5, 0.5, 0.0), (0.5, 1.0, 0.0, 0.5, 0.5),
(0.5, 1.0, 0.0, 0.0, 0.5), (0.5, 1.0, 0.0, 0.0, 0.0),
(0.5, 1.0, 0.0, 0.5, 0.0), (0.5, 1.0, 0.5, 0.0, 0.5),
(0.5, 1.0, 0.5, 0.0, 0.0), (0.5, 1.0, 0.5, 0.5, 0.0),
(0.75, 0.75, 0.25, 0.25, 0.25), (1.0, 1.0, 1.0, 0.0, 0.5),
(1.0, 1.0, 1.0, 0.5, 0.0), (1.0, 0.5, 1.0, 0.0, 0.5),
(1.0, 0.5, 1.0, 0.0, 0.0), (1.0, 0.5, 1.0, 0.5, 0.0),
(0.5, 1.0, 1.0, 0.0, 0.5), (0.5, 1.0, 1.0, 0.0, 0.0),
(0.5, 1.0, 1.0, 0.5, 0.0), (0.5, 0.5, 1.0, 0.0, 0.5),
(0.5, 0.5, 1.0, 0.0, 0.0), (0.5, 0.5, 1.0, 0.5, 0.0),
(0.75, 0.75, 0.75, 0.25, 0.25), (1.0, 1.0, 0.5, 1.0, 0.0),
(1.0, 0.5, 1.0, 1.0, 0.0), (1.0, 0.5, 0.5, 1.0, 0.0),
(0.5, 1.0, 1.0, 1.0, 0.0), (0.5, 1.0, 0.5, 1.0, 0.0),
(0.5, 0.5, 1.0, 1.0, 0.0), (0.5, 0.5, 0.5, 1.0, 0.0),
(0.75, 0.75, 0.75, 0.75, 0.25), (1.0, 1.0, 0.5, 0.0, 1.0),
(1.0, 0.5, 1.0, 0.0, 1.0), (1.0, 0.5, 0.5, 0.0, 1.0),
(0.5, 1.0, 1.0, 0.0, 1.0), (0.5, 1.0, 0.5, 0.0, 1.0),
(0.5, 0.5, 1.0, 0.0, 1.0), (0.5, 0.5, 0.5, 0.0, 1.0),
(0.75, 0.75, 0.75, 0.25, 0.75), (1.0, 1.0, 0.0, 1.0, 0.5),
(1.0, 0.5, 0.0, 1.0, 0.5), (1.0, 0.5, 0.0, 1.0, 0.0),
(0.5, 1.0, 0.0, 1.0, 0.5), (0.5, 1.0, 0.0, 1.0, 0.0),
(0.5, 0.5, 0.0, 1.0, 0.5), (0.5, 0.5, 0.0, 1.0, 0.0),
(0.75, 0.75, 0.25, 0.75, 0.25), (1.0, 1.0, 0.0, 0.5, 1.0),
(1.0, 0.5, 0.0, 1.0, 1.0), (1.0, 0.5, 0.0, 0.5, 1.0),
(0.5, 1.0, 0.0, 1.0, 1.0), (0.5, 1.0, 0.0, 0.5, 1.0),
(0.5, 0.5, 0.0, 1.0, 1.0), (0.5, 0.5, 0.0, 0.5, 1.0),
(0.75, 0.75, 0.25, 0.75, 0.75), (1.0, 0.5, 0.0, 0.0, 1.0),
(0.5, 1.0, 0.0, 0.0, 1.0), (0.5, 0.5, 0.0, 0.0, 1.0),
(0.75, 0.75, 0.25, 0.25, 0.75), (1.0, 0.0, 1.0, 0.5, 0.5),
(1.0, 0.0, 1.0, 0.0, 0.5), (1.0, 0.0, 1.0, 0.5, 0.0),
(0.5, 0.0, 1.0, 0.5, 0.5), (0.5, 0.0, 1.0, 0.0, 0.5),
(0.5, 0.0, 1.0, 0.0, 0.0), (0.5, 0.0, 1.0, 0.5, 0.0),
(0.75, 0.25, 0.75, 0.25, 0.25), (1.0, 0.0, 1.0, 1.0, 0.5),
(1.0, 0.0, 0.5, 1.0, 0.5), (1.0, 0.0, 0.5, 1.0, 0.0),
(0.5, 0.0, 1.0, 1.0, 0.5), (0.5, 0.0, 1.0, 1.0, 0.0),
(0.5, 0.0, 0.5, 1.0, 0.5), (0.5, 0.0, 0.5, 1.0, 0.0),
(0.75, 0.25, 0.75, 0.75, 0.25), (1.0, 0.0, 1.0, 0.5, 1.0),
(1.0, 0.0, 0.5, 1.0, 1.0), (1.0, 0.0, 0.5, 0.5, 1.0),
(0.5, 0.0, 1.0, 1.0, 1.0), (0.5, 0.0, 1.0, 0.5, 1.0),
(0.5, 0.0, 0.5, 1.0, 1.0), (0.5, 0.0, 0.5, 0.5, 1.0),
(0.75, 0.25, 0.75, 0.75, 0.75), (1.0, 0.0, 0.5, 0.0, 1.0),
(0.5, 0.0, 1.0, 0.0, 1.0), (0.5, 0.0, 0.5, 0.0, 1.0),
(0.75, 0.25, 0.75, 0.25, 0.75), (1.0, 0.0, 0.0, 1.0, 0.5),
(0.5, 0.0, 0.0, 1.0, 0.5), (0.5, 0.0, 0.0, 1.0, 0.0),
(0.75, 0.25, 0.25, 0.75, 0.25), (1.0, 0.0, 0.0, 0.5, 1.0),
(0.5, 0.0, 0.0, 1.0, 1.0), (0.5, 0.0, 0.0, 0.5, 1.0),
(0.75, 0.25, 0.25, 0.75, 0.75), (0.5, 0.0, 0.0, 0.0, 1.0),
(0.75, 0.25, 0.25, 0.25, 0.75), (0.0, 1.0, 0.5, 0.5, 0.5),
(0.0, 1.0, 0.0, 0.5, 0.5), (0.0, 1.0, 0.0, 0.0, 0.5),
(0.0, 1.0, 0.0, 0.5, 0.0), (0.0, 1.0, 0.5, 0.0, 0.5),
(0.0, 1.0, 0.5, 0.0, 0.0), (0.0, 1.0, 0.5, 0.5, 0.0),
(0.25, 0.75, 0.25, 0.25, 0.25), (0.0, 1.0, 1.0, 0.5, 0.5),
(0.0, 1.0, 1.0, 0.0, 0.5), (0.0, 1.0, 1.0, 0.5, 0.0),
(0.0, 0.5, 1.0, 0.5, 0.5), (0.0, 0.5, 1.0, 0.0, 0.5),
(0.0, 0.5, 1.0, 0.0, 0.0), (0.0, 0.5, 1.0, 0.5, 0.0),
(0.25, 0.75, 0.75, 0.25, 0.25), (0.0, 1.0, 1.0, 1.0, 0.5),
(0.0, 1.0, 0.5, 1.0, 0.5), (0.0, 1.0, 0.5, 1.0, 0.0),
(0.0, 0.5, 1.0, 1.0, 0.5), (0.0, 0.5, 1.0, 1.0, 0.0),
(0.0, 0.5, 0.5, 1.0, 0.5), (0.0, 0.5, 0.5, 1.0, 0.0),
(0.25, 0.75, 0.75, 0.75, 0.25), (0.0, 1.0, 1.0, 0.5, 1.0),
(0.0, 1.0, 0.5, 1.0, 1.0), (0.0, 1.0, 0.5, 0.5, 1.0),
(0.0, 0.5, 1.0, 1.0, 1.0), (0.0, 0.5, 1.0, 0.5, 1.0),
(0.0, 0.5, 0.5, 1.0, 1.0), (0.0, 0.5, 0.5, 0.5, 1.0),
(0.25, 0.75, 0.75, 0.75, 0.75), (0.0, 1.0, 0.5, 0.0, 1.0),
(0.0, 0.5, 1.0, 0.0, 1.0), (0.0, 0.5, 0.5, 0.0, 1.0),
(0.25, 0.75, 0.75, 0.25, 0.75), (0.0, 1.0, 0.0, 1.0, 0.5),
(0.0, 0.5, 0.0, 1.0, 0.5), (0.0, 0.5, 0.0, 1.0, 0.0),
(0.25, 0.75, 0.25, 0.75, 0.25), (0.0, 1.0, 0.0, 0.5, 1.0),
(0.0, 0.5, 0.0, 1.0, 1.0), (0.0, 0.5, 0.0, 0.5, 1.0),
(0.25, 0.75, 0.25, 0.75, 0.75), (0.0, 0.5, 0.0, 0.0, 1.0),
(0.25, 0.75, 0.25, 0.25, 0.75), (0.0, 0.0, 1.0, 0.5, 0.5),
(0.0, 0.0, 1.0, 0.0, 0.5), (0.0, 0.0, 1.0, 0.5, 0.0),
(0.25, 0.25, 0.75, 0.25, 0.25), (0.0, 0.0, 1.0, 1.0, 0.5),
(0.0, 0.0, 0.5, 1.0, 0.5), (0.0, 0.0, 0.5, 1.0, 0.0),
(0.25, 0.25, 0.75, 0.75, 0.25), (0.0, 0.0, 1.0, 0.5, 1.0),
(0.0, 0.0, 0.5, 1.0, 1.0), (0.0, 0.0, 0.5, 0.5, 1.0),
(0.25, 0.25, 0.75, 0.75, 0.75), (0.0, 0.0, 0.5, 0.0, 1.0),
(0.25, 0.25, 0.75, 0.25, 0.75), (0.0, 0.0, 0.0, 1.0, 0.5),
(0.25, 0.25, 0.25, 0.75, 0.25), (0.0, 0.0, 0.0, 0.5, 1.0),
(0.25, 0.25, 0.25, 0.75, 0.75), (0.25, 0.25, 0.25, 0.25, 0.75)]
nn_checks = {(1, 1, 1, 1, 1): [(1.0, 1.0, 1.0, 0.5, 1.0),
(1.0, 1.0, 0.5, 1.0, 1.0),
(1.0, 0.5, 0.5, 0.5, 0.5),
(1.0, 0.5, 1.0, 1.0, 0.5),
(0.5, 0.5, 1.0, 1.0, 1.0),
(1.0, 0.5, 0.5, 1.0, 0.5),
(1.0, 0.5, 1.0, 0.5, 0.5),
(0.5, 0.5, 0.5, 0.5, 1.0),
(0.5, 0.5, 1.0, 0.5, 1.0),
(0.5, 0.5, 0.5, 1.0, 1.0),
(0.5, 1.0, 0.5, 0.5, 0.5),
(0.5, 1.0, 1.0, 1.0, 0.5),
(0.5, 1.0, 1.0, 0.5, 0.5),
(0.5, 1.0, 0.5, 1.0, 0.5),
(1.0, 1.0, 1.0, 0.5, 0.5),
(1.0, 1.0, 0.5, 1.0, 0.5),
(1.0, 1.0, 0.5, 0.5, 0.5),
(1.0, 1.0, 1.0, 1.0, 0.5),
(1.0, 1.0, 0.5, 0.5, 1.0),
(1.0, 0.5, 1.0, 0.5, 1.0),
(1.0, 0.5, 0.5, 1.0, 1.0),
(0.5, 1.0, 0.5, 0.5, 1.0),
(0.5, 0.5, 1.0, 0.5, 0.5),
(1.0, 0.5, 0.5, 0.5, 1.0),
(1.0, 0.5, 1.0, 1.0, 1.0),
(0.5, 0.5, 0.5, 1.0, 0.5),
(0.75, 0.75, 0.75, 0.75, 0.75),
(0.5, 0.5, 1.0, 1.0, 0.5),
(0.5, 1.0, 1.0, 1.0, 1.0),
(0.5, 1.0, 1.0, 0.5, 1.0),
(0.5, 1.0, 0.5, 1.0, 1.0)],
(0.25, 0.75, 0.75, 0.75, 0.25): [(0.5, 1.0, 1.0, 1.0, 0.0),
(0.5, 0.5, 0.5, 1.0, 0.5),
(0, 1, 1, 1, 0),
(0.5, 1.0, 0.5, 0.5, 0.5),
(0.5, 1.0, 1.0, 1.0, 0.5),
(0.0, 1.0, 0.5, 0.5, 0.5),
(0.0, 1.0, 1.0, 1.0, 0.5),
(0.5, 1.0, 0.5, 1.0, 0.5),
(0.0, 1.0, 0.5, 1.0, 0.5),
(0.5, 1.0, 1.0, 0.5, 0.5),
(0.0, 1.0, 1.0, 0.5, 0.5),
(0.0, 1.0, 1.0, 0.5, 0.0),
(0.0, 1.0, 0.5, 1.0, 0.0),
(0.5, 1.0, 1.0, 0.5, 0.0),
(0.5, 1.0, 0.5, 1.0, 0.0),
(0.5, 1.0, 0.5, 0.5, 0.0),
(0.0, 1.0, 0.5, 0.5, 0.0),
(0.5, 0.5, 1.0, 0.5, 0.0),
(0.5, 0.5, 0.5, 1.0, 0.0),
(0.0, 0.5, 1.0, 0.5, 0.5),
(0.0, 0.5, 0.5, 1.0, 0.5),
(0.0, 0.5, 1.0, 0.5, 0.0),
(0.0, 0.5, 1.0, 1.0, 0.5),
(0.5, 0.5, 1.0, 1.0, 0.0),
(0.0, 0.5, 0.5, 0.5, 0.5),
(0.5, 0.5, 0.5, 0.5, 0.0),
(0.0, 0.5, 0.5, 1.0, 0.0),
(0.0, 0.5, 0.5, 0.5, 0.0),
(0.0, 0.5, 1.0, 1.0, 0.0),
(0.5, 0.5, 0.5, 0.5, 0.5),
(0.5, 0.5, 1.0, 1.0, 0.5),
(
0.5, 0.5, 1.0, 0.5, 0.5)],
(0.0, 0.0, 1.0, 0.5, 1.0): [(0.5, 0.0, 0.5, 0.5, 1.0),
(0.0, 0.5, 0.5, 0.5, 1.0),
(0.5, 0.5, 0.5, 0.5, 1.0),
(0.0, 0.0, 0.5, 0.5, 1.0),
(0, 0, 1, 1, 1),
(0.5, 0.5, 1.0, 0.5, 1.0),
(0.5, 0.0, 1.0, 0.5, 1.0),
(0.0, 0.5, 1.0, 0.5, 1.0),
(0, 0, 1, 0, 1),
(0.5, 0.0, 1.0, 0.5, 0.5),
(0.0, 0.5, 1.0, 0.5, 0.5),
(0.5, 0.5, 1.0, 0.5, 0.5),
(0.0, 0.0, 1.0, 0.5, 0.5),
(0.5, 0.5, 0.5, 0.5, 0.5),
(0.0, 0.0, 0.5, 0.5, 0.5),
(0.25, 0.25, 0.75, 0.75, 0.75),
(0.5, 0.0, 0.5, 0.5, 0.5),
(0.0, 0.5, 0.5, 0.5, 0.5), (
0.25, 0.25, 0.75, 0.25, 0.75)]}
init_triangulation(5, 1, check, nn_checks)
class TestRec(object):
def test_1_1_2D_rec_init(self): # TODO: REMOVE FUNC AFTER SPLIT
"""Test that the initial 2D cube has the correct coords"""
check = [(-1.0, -2.0), (7.0, 6.0), (7.0, -2.0), (-1.0, 6.0), (3.0, 2.0)]
nn_checks = {(-1.0, -2.0): [(7, -2), (3.0, 2.0), (-1, 6)],
(7.0, 6.0): [(7, -2), (3.0, 2.0), (-1, 6)],
(7.0, -2.0): [(7, 6), (3.0, 2.0), (-1, -2)]}
init_triangulation(2, 0, check, nn_checks, bounds=[(-1, 7), (-2, 6)])
def test_1_2_2D_rec_splits(self):
"""Test that the 2D cube subtriangulations has the correct coords"""
check = [(3.0, -2.0), (7.0, -1.0), (7.0, -2.0), (3.0, -1.0),
(5.0, -1.5), (3.0, -1.5), (5.0, -2.0), (4.0, -1.75),
(7.0, -1.5), (5.0, -1.0), (6.0, -1.25), (6.0, -1.75),
(4.0, -1.25), (5.0, -1.75), (4.0, -1.5), (4.5, -1.625),
(3.0, -1.75), (4.0, -2.0), (3.5, -1.875), (3.5, -1.625),
(4.5, -1.875), (5.0, -1.25), (6.0, -1.5), (5.5, -1.375),
(7.0, -1.25), (6.0, -1.0), (6.5, -1.125), (6.5, -1.375),
(5.5, -1.125), (5.5, -1.625), (7.0, -1.75), (6.0, -2.0),
(6.5, -1.875), (6.5, -1.625), (5.5, -1.875), (4.5, -1.375),
(3.0, -1.25), (4.0, -1.0), (3.5, -1.125), (3.5, -1.375),
(4.5, -1.125)]
nn_checks = {(3.0, -2.0): [(3.0, -1.75), (3.5, -1.875), (4.0, -2.0)],
(5.0, -1.75): [(5.0, -2.0), (5.0, -1.5), (5.5, -1.625),
(5.5, -1.875), (4.5, -1.625), (6.0, -1.75),
(4.5, -1.875), (4.0, -1.75)],
(6.0, -2.0): [(5.0, -2.0), (5.5, -1.875), (6.0, -1.75),
(6.5, -1.875), (7, -2)],
(4.5, -1.125): [(5.0, -1.0), (4.0, -1.25), (5.0, -1.25),
(4.0, -1.0)]}
init_triangulation(2, 2, check, nn_checks, bounds=[(3, 7), (-2, -1)])
def test_2_1_3D_rec_init(self):
"""Test that the initial 3D cube has the correct coords"""
check = [(0.0, -20.0, 0.0), (4.0, -10.0, 1.0), (4.0, -20.0, 0.0),
(4.0, -10.0, 0.0), (4.0, -20.0, 1.0), (0.0, -10.0, 0.0),
(0.0, -10.0, 1.0), (0.0, -20.0, 1.0), (2.0, -15.0, 0.5)]
nn_checks = {
(4.0, -20.0, 0.0): [(4, -10, 1), (4, -10, 0), (2.0, -15.0, 0.5),
(0, -20, 0), (4, -20, 1)],
(4.0, -10.0, 0.0): [(4, -10, 1), (4, -20, 0), (0, -10, 0),
(2.0, -15.0, 0.5), (0, -20, 0)],
(4.0, -20.0, 1.0): [(4, -10, 1), (4, -20, 0), (0, -20, 1),
(2.0, -15.0, 0.5), (0, -20, 0)]}
init_triangulation(3, 0, check, nn_checks, bounds=[(0, 4), (-20, -10), (0, 1)])
def test_2_2_3D_rec_splits(self):
"""Test that the 3D cube subtriangulations has the correct coords"""
check = [(-3.0, -2.0, 0.0), (4.0, 10.0, 1.0), (4.0, -2.0, 0.0),
(4.0, 10.0, 0.0), (4.0, -2.0, 1.0), (-3.0, 10.0, 0.0),
(-3.0, 10.0, 1.0), (-3.0, -2.0, 1.0), (0.5, 4.0, 0.5),
(-3.0, 4.0, 0.5), (-3.0, -2.0, 0.5), (-3.0, 4.0, 0.0),
(0.5, -2.0, 0.5), (0.5, -2.0, 0.0), (0.5, 4.0, 0.0),
(-1.25, 1.0, 0.25), (4.0, 4.0, 0.5), (4.0, 10.0, 0.5),
(4.0, 4.0, 1.0), (0.5, 10.0, 0.5), (0.5, 10.0, 1.0),
(0.5, 4.0, 1.0), (2.25, 7.0, 0.75), (4.0, -2.0, 0.5),
(4.0, 4.0, 0.0), (2.25, 1.0, 0.25), (0.5, 10.0, 0.0),
(2.25, 7.0, 0.25), (0.5, -2.0, 1.0), (2.25, 1.0, 0.75),
(-3.0, 10.0, 0.5), (-1.25, 7.0, 0.25), (-3.0, 4.0, 1.0),
(-1.25, 7.0, 0.75), (-1.25, 1.0, 0.75), (0.5, 1.0, 0.25),
(0.5, 4.0, 0.25), (0.5, 1.0, 0.5), (-1.25, 4.0, 0.25),
(-1.25, 4.0, 0.5), (-1.25, 1.0, 0.5), (-0.375, 2.5, 0.375),
(-3.0, 1.0, 0.25), (-3.0, -2.0, 0.25), (-3.0, 1.0, 0.0),
(-1.25, -2.0, 0.25), (-1.25, -2.0, 0.0), (-1.25, 1.0, 0.0),
(-2.125, -0.5, 0.125), (-3.0, 4.0, 0.25), (-3.0, 1.0, 0.5),
(-2.125, 2.5, 0.375), (-1.25, -2.0, 0.5),
(-2.125, -0.5, 0.375), (-1.25, 4.0, 0.0), (-2.125, 2.5, 0.125),
(0.5, -2.0, 0.25), (-0.375, -0.5, 0.375), (0.5, 1.0, 0.0),
(-0.375, -0.5, 0.125), (-0.375, 2.5, 0.125), (0.5, 7.0, 0.75),
(0.5, 4.0, 0.75), (0.5, 7.0, 0.5), (2.25, 4.0, 0.75),
(2.25, 4.0, 0.5), (2.25, 7.0, 0.5), (1.375, 5.5, 0.625),
(4.0, 7.0, 0.75), (4.0, 10.0, 0.75), (4.0, 7.0, 1.0),
(2.25, 10.0, 0.75), (2.25, 10.0, 1.0), (2.25, 7.0, 1.0),
(3.125, 8.5, 0.875), (4.0, 4.0, 0.75), (4.0, 7.0, 0.5),
(3.125, 5.5, 0.625), (2.25, 10.0, 0.5), (3.125, 8.5, 0.625),
(2.25, 4.0, 1.0), (3.125, 5.5, 0.875), (0.5, 10.0, 0.75),
(1.375, 8.5, 0.625), (0.5, 7.0, 1.0), (1.375, 8.5, 0.875),
(1.375, 5.5, 0.875), (2.25, 4.0, 0.25), (2.25, 1.0, 0.5),
(1.375, 2.5, 0.375), (4.0, 1.0, 0.25), (4.0, -2.0, 0.25),
(4.0, 1.0, 0.0), (2.25, -2.0, 0.25), (2.25, -2.0, 0.0),
(2.25, 1.0, 0.0), (3.125, -0.5, 0.125), (4.0, 4.0, 0.25),
(4.0, 1.0, 0.5), (3.125, 2.5, 0.375), (2.25, -2.0, 0.5),
(3.125, -0.5, 0.375), (2.25, 4.0, 0.0), (3.125, 2.5, 0.125),
(1.375, -0.5, 0.375), (1.375, -0.5, 0.125),
(1.375, 2.5, 0.125), (0.5, 7.0, 0.25), (1.375, 5.5, 0.375),
(4.0, 7.0, 0.25), (4.0, 10.0, 0.25), (4.0, 7.0, 0.0),
(2.25, 10.0, 0.25), (2.25, 10.0, 0.0), (2.25, 7.0, 0.0),
(3.125, 8.5, 0.125), (3.125, 5.5, 0.375), (3.125, 8.5, 0.375),
(3.125, 5.5, 0.125), (0.5, 10.0, 0.25), (1.375, 8.5, 0.375),
(0.5, 7.0, 0.0), (1.375, 8.5, 0.125), (1.375, 5.5, 0.125),
(0.5, 1.0, 0.75), (1.375, 2.5, 0.625), (4.0, 1.0, 0.75),
(4.0, -2.0, 0.75), (4.0, 1.0, 1.0), (2.25, -2.0, 0.75),
(2.25, -2.0, 1.0), (2.25, 1.0, 1.0), (3.125, -0.5, 0.875),
(3.125, 2.5, 0.625), (3.125, -0.5, 0.625), (3.125, 2.5, 0.875),
(0.5, -2.0, 0.75), (1.375, -0.5, 0.625), (0.5, 1.0, 1.0),
(1.375, -0.5, 0.875), (1.375, 2.5, 0.875), (-1.25, 7.0, 0.5),
(-0.375, 5.5, 0.375), (-3.0, 7.0, 0.25), (-3.0, 10.0, 0.25),
(-3.0, 7.0, 0.0), (-1.25, 10.0, 0.25), (-1.25, 10.0, 0.0),
(-1.25, 7.0, 0.0), (-2.125, 8.5, 0.125), (-3.0, 7.0, 0.5),
(-2.125, 5.5, 0.375), (-1.25, 10.0, 0.5), (-2.125, 8.5, 0.375),
(-2.125, 5.5, 0.125), (-0.375, 8.5, 0.375),
(-0.375, 8.5, 0.125), (-0.375, 5.5, 0.125), (-1.25, 4.0, 0.75),
(-0.375, 5.5, 0.625), (-3.0, 7.0, 0.75), (-3.0, 10.0, 0.75),
(-3.0, 7.0, 1.0), (-1.25, 10.0, 0.75), (-1.25, 10.0, 1.0),
(-1.25, 7.0, 1.0), (-2.125, 8.5, 0.875), (-3.0, 4.0, 0.75),
(-2.125, 5.5, 0.625), (-2.125, 8.5, 0.625), (-1.25, 4.0, 1.0),
(-2.125, 5.5, 0.875), (-0.375, 8.5, 0.625),
(-0.375, 8.5, 0.875), (-0.375, 5.5, 0.875),
(-0.375, 2.5, 0.625), (-3.0, 1.0, 0.75), (-3.0, -2.0, 0.75),
(-3.0, 1.0, 1.0), (-1.25, -2.0, 0.75), (-1.25, -2.0, 1.0),
(-1.25, 1.0, 1.0), (-2.125, -0.5, 0.875), (-2.125, 2.5, 0.625),
(-2.125, -0.5, 0.625), (-2.125, 2.5, 0.875),
(-0.375, -0.5, 0.625), (-0.375, -0.5, 0.875),
(-0.375, 2.5, 0.875)]
nn_checks = {(2.25, 7.0, 0.75): [(4.0, 7.0, 0.75), (2.25, 7.0, 1.0),
(4.0, 7.0, 0.5), (4.0, 7.0, 1.0),
(4.0, 4.0, 0.75), (1.375, 5.5, 0.875),
(2.25, 4.0, 1.0), (2.25, 4.0, 0.5),
(2.25, 4.0, 0.75), (3.125, 8.5, 0.875),
(3.125, 8.5, 0.625), (4.0, 10.0, 0.75),
(2.25, 10.0, 1.0), (2.25, 10.0, 0.75),
(2.25, 10.0, 0.5), (1.375, 8.5, 0.625),
(1.375, 8.5, 0.875), (0.5, 7.0, 0.75),
(0.5, 7.0, 0.5), (3.125, 5.5, 0.625),
(3.125, 5.5, 0.875), (0.5, 10.0, 0.75),
(0.5, 7.0, 1.0), (0.5, 4.0, 0.75),
(2.25, 7.0, 0.5), (1.375, 5.5, 0.625)],
(4.0, -2.0, 0.5): [(4.0, -2.0, 0.75), (4.0, -2.0, 0.25),
(2.25, 1.0, 0.5), (2.25, -2.0, 0.75),
(2.25, -2.0, 0.5), (2.25, -2.0, 0.25),
(4.0, 1.0, 0.25), (4.0, 1.0, 0.75),
(4.0, 1.0, 0.5), (3.125, -0.5, 0.375),
(3.125, -0.5, 0.625)],
(-2.125, -0.5, 0.875): [(-1.25, 1.0, 1.0),
(-1.25, 1.0, 0.75),
(-1.25, -2.0, 0.75),
(-1.25, -2.0, 1.0),
(-3.0, -2.0, 0.75),
(-3.0, 1.0, 1.0), (-3, -2, 1),
(-3.0, 1.0, 0.75)]}
init_triangulation(3, 2, check, nn_checks, bounds=[(-3, 4), (-2, 10), (0, 1)])
def test_3_1_4D_rec_init(self):
"""Test that the initial 4D cube has the correct coords"""
check = [(-1.0, -15.0, 0.0, 3.0), (4.0, -10.0, 1.0, 5.0),
(4.0, -15.0, 0.0, 3.0), (4.0, -10.0, 0.0, 3.0),
(4.0, -10.0, 1.0, 3.0), (4.0, -10.0, 0.0, 5.0),
(4.0, -15.0, 1.0, 3.0), (4.0, -15.0, 1.0, 5.0),
(4.0, -15.0, 0.0, 5.0), (-1.0, -10.0, 0.0, 3.0),
(-1.0, -10.0, 1.0, 3.0), (-1.0, -10.0, 1.0, 5.0),
(-1.0, -10.0, 0.0, 5.0), (-1.0, -15.0, 1.0, 3.0),
(-1.0, -15.0, 1.0, 5.0), (-1.0, -15.0, 0.0, 5.0),
(1.5, -12.5, 0.5, 4.0)]
nn_checks = {(4.0, -15.0, 1.0, 5.0): [(-1, -15, 1, 5), (4, -15, 0, 5),
(-1, -15, 0, 3), (4, -15, 1, 3),
(4, -10, 1, 5), (-1, -15, 0, 5),
(4, -15, 0, 3), (-1, -15, 1, 3),
(1.5, -12.5, 0.5, 4.0)],
(4.0, -15.0, 0.0, 5.0): [(4, -15, 1, 5), (4, -10, 0, 5),
(-1, -15, 0, 3), (4, -10, 1, 5),
(-1, -15, 0, 5), (4, -15, 0, 3),
(1.5, -12.5, 0.5, 4.0)],
(1.5, -12.5, 0.5, 4.0): [(4, -15, 1, 5), (-1, -10, 0, 5),
(4, -10, 0, 5), (-1, -15, 1, 5),
(4, -10, 1, 3), (-1, -10, 1, 5),
(4, -15, 0, 5), (-1, -15, 1, 3),
(-1, -15, 0, 3), (4, -15, 1, 3),
(-1, -10, 0, 3), (4, -10, 1, 5),
(-1, -10, 1, 3), (-1, -15, 0, 5),
(4, -15, 0, 3), (4, -10, 0, 3)]}
init_triangulation(4, 0, check, nn_checks,
bounds=[(-1, 4), (-15, -10), (0, 1), (3, 5)])
def test_3_2_4D_rec_splits(self):
"""Test that the 4D cube subtriangulations has the correct coords"""
check = [(-2.0, 3.0, -1.0, 3.0), (9.0, 10.0, 1.0, 5.0),
(9.0, 3.0, -1.0, 3.0), (9.0, 10.0, -1.0, 3.0),
(9.0, 10.0, 1.0, 3.0), (9.0, 10.0, -1.0, 5.0),
(9.0, 3.0, 1.0, 3.0), (9.0, 3.0, 1.0, 5.0),
(9.0, 3.0, -1.0, 5.0), (-2.0, 10.0, -1.0, 3.0),
(-2.0, 10.0, 1.0, 3.0), (-2.0, 10.0, 1.0, 5.0),
(-2.0, 10.0, -1.0, 5.0), (-2.0, 3.0, 1.0, 3.0),
(-2.0, 3.0, 1.0, 5.0), (-2.0, 3.0, -1.0, 5.0),
(3.5, 6.5, 0.0, 4.0), (-2.0, 6.5, 0.0, 4.0),
(-2.0, 3.0, 0.0, 4.0), (-2.0, 3.0, -1.0, 4.0),
(-2.0, 3.0, 0.0, 3.0), (-2.0, 6.5, -1.0, 4.0),
(-2.0, 6.5, -1.0, 3.0), (-2.0, 6.5, 0.0, 3.0),
(3.5, 3.0, 0.0, 4.0), (3.5, 3.0, -1.0, 4.0),
(3.5, 3.0, -1.0, 3.0), (3.5, 3.0, 0.0, 3.0),
(3.5, 6.5, -1.0, 4.0), (3.5, 6.5, -1.0, 3.0),
(3.5, 6.5, 0.0, 3.0), (0.75, 4.75, -0.5, 3.5),
(9.0, 6.5, 0.0, 4.0), (9.0, 10.0, 0.0, 4.0),
(9.0, 10.0, 1.0, 4.0), (9.0, 10.0, 0.0, 5.0),
(9.0, 6.5, 1.0, 4.0), (9.0, 6.5, 1.0, 5.0),
(9.0, 6.5, 0.0, 5.0), (3.5, 10.0, 0.0, 4.0),
(3.5, 10.0, 1.0, 4.0), (3.5, 10.0, 1.0, 5.0),
(3.5, 10.0, 0.0, 5.0), (3.5, 6.5, 1.0, 4.0),
(3.5, 6.5, 1.0, 5.0), (3.5, 6.5, 0.0, 5.0),
(6.25, 8.25, 0.5, 4.5), (9.0, 3.0, 0.0, 4.0),
(9.0, 3.0, -1.0, 4.0), (9.0, 3.0, 0.0, 3.0),
(9.0, 6.5, -1.0, 4.0), (9.0, 6.5, -1.0, 3.0),
(9.0, 6.5, 0.0, 3.0), (6.25, 4.75, -0.5, 3.5),
(9.0, 10.0, -1.0, 4.0), (9.0, 10.0, 0.0, 3.0),
(3.5, 10.0, -1.0, 4.0), (3.5, 10.0, -1.0, 3.0),
(3.5, 10.0, 0.0, 3.0), (6.25, 8.25, -0.5, 3.5),
(9.0, 6.5, 1.0, 3.0), (3.5, 10.0, 1.0, 3.0),
(3.5, 6.5, 1.0, 3.0), (6.25, 8.25, 0.5, 3.5),
(9.0, 6.5, -1.0, 5.0), (3.5, 10.0, -1.0, 5.0),
(3.5, 6.5, -1.0, 5.0), (6.25, 8.25, -0.5, 4.5),
(9.0, 3.0, 1.0, 4.0), (3.5, 3.0, 1.0, 4.0),
(3.5, 3.0, 1.0, 3.0), (6.25, 4.75, 0.5, 3.5),
(9.0, 3.0, 0.0, 5.0), (3.5, 3.0, 1.0, 5.0),
(3.5, 3.0, 0.0, 5.0), (6.25, 4.75, 0.5, 4.5),
(3.5, 3.0, -1.0, 5.0), (6.25, 4.75, -0.5, 4.5),
(-2.0, 10.0, 0.0, 4.0), (-2.0, 10.0, -1.0, 4.0),
(-2.0, 10.0, 0.0, 3.0), (0.75, 8.25, -0.5, 3.5),
(-2.0, 10.0, 1.0, 4.0), (-2.0, 6.5, 1.0, 4.0),
(-2.0, 6.5, 1.0, 3.0), (0.75, 8.25, 0.5, 3.5),
(-2.0, 10.0, 0.0, 5.0), (-2.0, 6.5, 1.0, 5.0),
(-2.0, 6.5, 0.0, 5.0), (0.75, 8.25, 0.5, 4.5),
(-2.0, 6.5, -1.0, 5.0), (0.75, 8.25, -0.5, 4.5),
(-2.0, 3.0, 1.0, 4.0), (0.75, 4.75, 0.5, 3.5),
(-2.0, 3.0, 0.0, 5.0), (0.75, 4.75, 0.5, 4.5),
(0.75, 4.75, -0.5, 4.5), (3.5, 4.75, -0.5, 3.5),
(3.5, 6.5, -0.5, 3.5), (3.5, 6.5, 0.0, 3.5),
(3.5, 6.5, -0.5, 4.0), (3.5, 4.75, 0.0, 3.5),
(3.5, 4.75, 0.0, 4.0), (3.5, 4.75, -0.5, 4.0),
(0.75, 6.5, -0.5, 3.5), (0.75, 6.5, 0.0, 3.5),
(0.75, 6.5, 0.0, 4.0), (0.75, 6.5, -0.5, 4.0),
(0.75, 4.75, 0.0, 3.5), (0.75, 4.75, 0.0, 4.0),
(0.75, 4.75, -0.5, 4.0), (2.125, 5.625, -0.25, 3.75),
(-2.0, 4.75, -0.5, 3.5), (-2.0, 3.0, -0.5, 3.5),
(-2.0, 3.0, -1.0, 3.5), (-2.0, 3.0, -0.5, 3.0),
(-2.0, 4.75, -1.0, 3.5), (-2.0, 4.75, -1.0, 3.0),
(-2.0, 4.75, -0.5, 3.0), (0.75, 3.0, -0.5, 3.5),
(0.75, 3.0, -1.0, 3.5), (0.75, 3.0, -1.0, 3.0),
(0.75, 3.0, -0.5, 3.0), (0.75, 4.75, -1.0, 3.5),
(0.75, 4.75, -1.0, 3.0), (0.75, 4.75, -0.5, 3.0),
(-0.625, 3.875, -0.75, 3.25), (-2.0, 6.5, -0.5, 3.5),
(-2.0, 6.5, 0.0, 3.5), (-2.0, 6.5, -0.5, 4.0),
(-2.0, 4.75, 0.0, 3.5), (-2.0, 4.75, 0.0, 4.0),
(-2.0, 4.75, -0.5, 4.0), (-0.625, 5.625, -0.25, 3.75),
(-2.0, 3.0, 0.0, 3.5), (-2.0, 3.0, -0.5, 4.0),
(0.75, 3.0, 0.0, 3.5), (0.75, 3.0, 0.0, 4.0),
(0.75, 3.0, -0.5, 4.0), (-0.625, 3.875, -0.25, 3.75),
(-2.0, 4.75, -1.0, 4.0), (0.75, 3.0, -1.0, 4.0),
(0.75, 4.75, -1.0, 4.0), (-0.625, 3.875, -0.75, 3.75),
(-2.0, 4.75, 0.0, 3.0), (0.75, 3.0, 0.0, 3.0),
(0.75, 4.75, 0.0, 3.0), (-0.625, 3.875, -0.25, 3.25),
(-2.0, 6.5, -1.0, 3.5), (0.75, 6.5, -1.0, 3.5),
(0.75, 6.5, -1.0, 4.0), (-0.625, 5.625, -0.75, 3.75),
(-2.0, 6.5, -0.5, 3.0), (0.75, 6.5, -1.0, 3.0),
(0.75, 6.5, -0.5, 3.0), (-0.625, 5.625, -0.75, 3.25),
(0.75, 6.5, 0.0, 3.0), (-0.625, 5.625, -0.25, 3.25),
(3.5, 3.0, -0.5, 3.5), (3.5, 3.0, 0.0, 3.5),
(3.5, 3.0, -0.5, 4.0), (2.125, 3.875, -0.25, 3.75),
(3.5, 3.0, -1.0, 3.5), (3.5, 4.75, -1.0, 3.5),
(3.5, 4.75, -1.0, 4.0), (2.125, 3.875, -0.75, 3.75),
(3.5, 3.0, -0.5, 3.0), (3.5, 4.75, -1.0, 3.0),
(3.5, 4.75, -0.5, 3.0), (2.125, 3.875, -0.75, 3.25),
(3.5, 4.75, 0.0, 3.0), (2.125, 3.875, -0.25, 3.25),
(3.5, 6.5, -1.0, 3.5), (2.125, 5.625, -0.75, 3.75),
(3.5, 6.5, -0.5, 3.0), (2.125, 5.625, -0.75, 3.25),
(2.125, 5.625, -0.25, 3.25), (3.5, 8.25, 0.5, 4.5),
(3.5, 6.5, 0.5, 4.5), (3.5, 6.5, 0.0, 4.5),
(3.5, 6.5, 0.5, 4.0), (3.5, 8.25, 0.0, 4.5),
(3.5, 8.25, 0.0, 4.0), (3.5, 8.25, 0.5, 4.0),
(6.25, 6.5, 0.5, 4.5), (6.25, 6.5, 0.0, 4.5),
(6.25, 6.5, 0.0, 4.0), (6.25, 6.5, 0.5, 4.0),
(6.25, 8.25, 0.0, 4.5), (6.25, 8.25, 0.0, 4.0),
(6.25, 8.25, 0.5, 4.0), (4.875, 7.375, 0.25, 4.25),
(9.0, 8.25, 0.5, 4.5), (9.0, 10.0, 0.5, 4.5),
(9.0, 10.0, 1.0, 4.5), (9.0, 10.0, 0.5, 5.0),
(9.0, 8.25, 1.0, 4.5), (9.0, 8.25, 1.0, 5.0),
(9.0, 8.25, 0.5, 5.0), (6.25, 10.0, 0.5, 4.5),
(6.25, 10.0, 1.0, 4.5), (6.25, 10.0, 1.0, 5.0),
(6.25, 10.0, 0.5, 5.0), (6.25, 8.25, 1.0, 4.5),
(6.25, 8.25, 1.0, 5.0), (6.25, 8.25, 0.5, 5.0),
(7.625, 9.125, 0.75, 4.75), (9.0, 6.5, 0.5, 4.5),
(9.0, 6.5, 0.0, 4.5), (9.0, 6.5, 0.5, 4.0),
(9.0, 8.25, 0.0, 4.5), (9.0, 8.25, 0.0, 4.0),
(9.0, 8.25, 0.5, 4.0), (7.625, 7.375, 0.25, 4.25),
(9.0, 10.0, 0.0, 4.5), (9.0, 10.0, 0.5, 4.0),
(6.25, 10.0, 0.0, 4.5), (6.25, 10.0, 0.0, 4.0),
(6.25, 10.0, 0.5, 4.0), (7.625, 9.125, 0.25, 4.25),
(9.0, 8.25, 1.0, 4.0), (6.25, 10.0, 1.0, 4.0),
(6.25, 8.25, 1.0, 4.0), (7.625, 9.125, 0.75, 4.25),
(9.0, 8.25, 0.0, 5.0), (6.25, 10.0, 0.0, 5.0),
(6.25, 8.25, 0.0, 5.0), (7.625, 9.125, 0.25, 4.75),
(9.0, 6.5, 1.0, 4.5), (6.25, 6.5, 1.0, 4.5),
(6.25, 6.5, 1.0, 4.0), (7.625, 7.375, 0.75, 4.25),
(9.0, 6.5, 0.5, 5.0), (6.25, 6.5, 1.0, 5.0),
(6.25, 6.5, 0.5, 5.0), (7.625, 7.375, 0.75, 4.75),
(6.25, 6.5, 0.0, 5.0), (7.625, 7.375, 0.25, 4.75),
(3.5, 10.0, 0.5, 4.5), (3.5, 10.0, 0.0, 4.5),
(3.5, 10.0, 0.5, 4.0), (4.875, 9.125, 0.25, 4.25),
(3.5, 10.0, 1.0, 4.5), (3.5, 8.25, 1.0, 4.5),
(3.5, 8.25, 1.0, 4.0), (4.875, 9.125, 0.75, 4.25),
(3.5, 10.0, 0.5, 5.0), (3.5, 8.25, 1.0, 5.0),
(3.5, 8.25, 0.5, 5.0), (4.875, 9.125, 0.75, 4.75),
(3.5, 8.25, 0.0, 5.0), (4.875, 9.125, 0.25, 4.75),
(3.5, 6.5, 1.0, 4.5), (4.875, 7.375, 0.75, 4.25),
(3.5, 6.5, 0.5, 5.0), (4.875, 7.375, 0.75, 4.75),
(4.875, 7.375, 0.25, 4.75), (6.25, 6.5, -0.5, 3.5),
(6.25, 6.5, 0.0, 3.5), (6.25, 6.5, -0.5, 4.0),
(6.25, 4.75, 0.0, 3.5), (6.25, 4.75, 0.0, 4.0),
(6.25, 4.75, -0.5, 4.0), (4.875, 5.625, -0.25, 3.75),
(9.0, 4.75, -0.5, 3.5), (9.0, 3.0, -0.5, 3.5),
(9.0, 3.0, -1.0, 3.5), (9.0, 3.0, -0.5, 3.0),
(9.0, 4.75, -1.0, 3.5), (9.0, 4.75, -1.0, 3.0),
(9.0, 4.75, -0.5, 3.0), (6.25, 3.0, -0.5, 3.5),
(6.25, 3.0, -1.0, 3.5), (6.25, 3.0, -1.0, 3.0),
(6.25, 3.0, -0.5, 3.0), (6.25, 4.75, -1.0, 3.5),
(6.25, 4.75, -1.0, 3.0), (6.25, 4.75, -0.5, 3.0),
(7.625, 3.875, -0.75, 3.25), (9.0, 6.5, -0.5, 3.5),
(9.0, 6.5, 0.0, 3.5), (9.0, 6.5, -0.5, 4.0),
(9.0, 4.75, 0.0, 3.5), (9.0, 4.75, 0.0, 4.0),
(9.0, 4.75, -0.5, 4.0), (7.625, 5.625, -0.25, 3.75),
(9.0, 3.0, 0.0, 3.5), (9.0, 3.0, -0.5, 4.0),
(6.25, 3.0, 0.0, 3.5), (6.25, 3.0, 0.0, 4.0),
(6.25, 3.0, -0.5, 4.0), (7.625, 3.875, -0.25, 3.75),
(9.0, 4.75, -1.0, 4.0), (6.25, 3.0, -1.0, 4.0),
(6.25, 4.75, -1.0, 4.0), (7.625, 3.875, -0.75, 3.75),
(9.0, 4.75, 0.0, 3.0), (6.25, 3.0, 0.0, 3.0),
(6.25, 4.75, 0.0, 3.0), (7.625, 3.875, -0.25, 3.25),
(9.0, 6.5, -1.0, 3.5), (6.25, 6.5, -1.0, 3.5),
(6.25, 6.5, -1.0, 4.0), (7.625, 5.625, -0.75, 3.75),
(9.0, 6.5, -0.5, 3.0), (6.25, 6.5, -1.0, 3.0),
(6.25, 6.5, -0.5, 3.0), (7.625, 5.625, -0.75, 3.25),
(6.25, 6.5, 0.0, 3.0), (7.625, 5.625, -0.25, 3.25),
(4.875, 3.875, -0.25, 3.75), (4.875, 3.875, -0.75, 3.75),
(4.875, 3.875, -0.75, 3.25), (4.875, 3.875, -0.25, 3.25),
(4.875, 5.625, -0.75, 3.75), (4.875, 5.625, -0.75, 3.25),
(4.875, 5.625, -0.25, 3.25), (3.5, 8.25, -0.5, 3.5),
(3.5, 8.25, 0.0, 3.5), (3.5, 8.25, -0.5, 4.0),
(6.25, 8.25, 0.0, 3.5), (6.25, 8.25, -0.5, 4.0),
(4.875, 7.375, -0.25, 3.75), (9.0, 8.25, -0.5, 3.5),
(9.0, 10.0, -0.5, 3.5), (9.0, 10.0, -1.0, 3.5),
(9.0, 10.0, -0.5, 3.0), (9.0, 8.25, -1.0, 3.5),
(9.0, 8.25, -1.0, 3.0), (9.0, 8.25, -0.5, 3.0),
(6.25, 10.0, -0.5, 3.5), (6.25, 10.0, -1.0, 3.5),
(6.25, 10.0, -1.0, 3.0), (6.25, 10.0, -0.5, 3.0),
(6.25, 8.25, -1.0, 3.5), (6.25, 8.25, -1.0, 3.0),
(6.25, 8.25, -0.5, 3.0), (7.625, 9.125, -0.75, 3.25),
(9.0, 8.25, 0.0, 3.5), (9.0, 8.25, -0.5, 4.0),
(7.625, 7.375, -0.25, 3.75), (9.0, 10.0, 0.0, 3.5),
(9.0, 10.0, -0.5, 4.0), (6.25, 10.0, 0.0, 3.5),
(6.25, 10.0, -0.5, 4.0), (7.625, 9.125, -0.25, 3.75),
(9.0, 8.25, -1.0, 4.0), (6.25, 10.0, -1.0, 4.0),
(6.25, 8.25, -1.0, 4.0), (7.625, 9.125, -0.75, 3.75),
(9.0, 8.25, 0.0, 3.0), (6.25, 10.0, 0.0, 3.0),
(6.25, 8.25, 0.0, 3.0), (7.625, 9.125, -0.25, 3.25),
(7.625, 7.375, -0.75, 3.75), (7.625, 7.375, -0.75, 3.25),
(7.625, 7.375, -0.25, 3.25), (3.5, 10.0, -0.5, 3.5),
(3.5, 10.0, 0.0, 3.5), (3.5, 10.0, -0.5, 4.0),
(4.875, 9.125, -0.25, 3.75), (3.5, 10.0, -1.0, 3.5),
(3.5, 8.25, -1.0, 3.5), (3.5, 8.25, -1.0, 4.0),
(4.875, 9.125, -0.75, 3.75), (3.5, 10.0, -0.5, 3.0),
(3.5, 8.25, -1.0, 3.0), (3.5, 8.25, -0.5, 3.0),
(4.875, 9.125, -0.75, 3.25), (3.5, 8.25, 0.0, 3.0),
(4.875, 9.125, -0.25, 3.25), (4.875, 7.375, -0.75, 3.75),
(4.875, 7.375, -0.75, 3.25), (4.875, 7.375, -0.25, 3.25),
(3.5, 8.25, 0.5, 3.5), (3.5, 6.5, 0.5, 3.5),
(6.25, 6.5, 0.5, 3.5), (4.875, 7.375, 0.25, 3.75),
(9.0, 8.25, 0.5, 3.5), (9.0, 10.0, 0.5, 3.5),
(9.0, 10.0, 1.0, 3.5), (9.0, 10.0, 0.5, 3.0),
(9.0, 8.25, 1.0, 3.5), (9.0, 8.25, 1.0, 3.0),
(9.0, 8.25, 0.5, 3.0), (6.25, 10.0, 0.5, 3.5),
(6.25, 10.0, 1.0, 3.5), (6.25, 10.0, 1.0, 3.0),
(6.25, 10.0, 0.5, 3.0), (6.25, 8.25, 1.0, 3.5),
(6.25, 8.25, 1.0, 3.0), (6.25, 8.25, 0.5, 3.0),
(7.625, 9.125, 0.75, 3.25), (9.0, 6.5, 0.5, 3.5),