def test_concvex_cell_containment(self):
points = [
(10, 10, 10),
(25, 5, 5),
(5, 25, 5),
(20, 20, 10),
(5, 5, 25),
(20, 10, 20),
(10, 20, 20),
(25, 25, 25)
]
grid = GridGen.create_single_cell_grid(points)
assertPoint = lambda p : self.assertTrue(
grid.cell_contains(p[0], p[1], p[2], 0)
)
assertNotPoint = lambda p : self.assertFalse(
grid.cell_contains(p[0], p[1], p[2], 0)
)
# Cell center
assertPoint(average(points));
# "Side" center
assertPoint(average(points[0:4:]))
assertPoint(average(points[4:8:]))
assertPoint(average(points[1:8:2]))
assertPoint(average(points[0:8:2]))
assertPoint(average(points[0:8:4] + points[1:8:4]))
assertPoint(average(points[2:8:4] + points[3:8:4]))
# Corners
for p in points:
assertPoint(p)
# Edges
edges = ([(i, i+1) for i in range(0, 8, 2)] +
[(i, i+2) for i in [0, 1, 4, 5]] +
[(i, i+4) for i in range(4)] +
[(1,2), (2,7), (1,7), (4,7), (2,4), (4,1)])
for a,b in edges:
assertPoint(average([points[a], points[b]]))
# Epsilon inside from corners
middle_point = average(points)
for p in points:
assertPoint(average(20*[p] + [middle_point]))
# Espilon outside
middle_point[2] = 0
for p in points[0:4:]:
assertNotPoint(average(20*[p] + [middle_point]))
middle_point[2] = 30
for p in points[4:8:]:
assertNotPoint(average(20*[p] + [middle_point]))
def test_concvex_cell_containment(self):
points = [
(10, 10, 10),
(25, 5, 5),
(5, 25, 5),
(20, 20, 10),
(5, 5, 25),
(20, 10, 20),
(10, 20, 20),
(25, 25, 25)
]
grid = GridGen.create_single_cell_grid(points)
assertPoint = lambda p : self.assertTrue(
grid.cell_contains(p[0], p[1], p[2], 0)
)
assertNotPoint = lambda p : self.assertFalse(
grid.cell_contains(p[0], p[1], p[2], 0)
)
# Cell center
assertPoint(average(points));
# "Side" center
assertPoint(average(points[0:4:]))
assertPoint(average(points[4:8:]))
assertPoint(average(points[1:8:2]))
assertPoint(average(points[0:8:2]))
assertPoint(average(points[0:8:4] + points[1:8:4]))
assertPoint(average(points[2:8:4] + points[3:8:4]))
# Corners
for p in points:
assertPoint(p)
# Edges
edges = ([(i, i+1) for i in range(0, 8, 2)] +
[(i, i+2) for i in [0, 1, 4, 5]] +
[(i, i+4) for i in range(4)] +
[(1,2), (2,7), (1,7), (4,7), (2,4), (4,1)])
for a,b in edges:
assertPoint(average([points[a], points[b]]))
# Epsilon inside from corners
middle_point = average(points)
for p in points:
assertPoint(average(20*[p] + [middle_point]))
# Espilon outside
middle_point[2] = 0
for p in points[0:4:]:
assertNotPoint(average(20*[p] + [middle_point]))
middle_point[2] = 30
for p in points[4:8:]:
assertNotPoint(average(20*[p] + [middle_point]))
def createWrapperGrid(grid):
"""
Creates a grid that occupies the same space as the given grid,
but that consists of a single cell.
"""
x, y, z = grid.getNX() - 1, grid.getNY() - 1, grid.getNZ() - 1
corner_pos = [(0, 0, 0), (x, 0, 0), (0, y, 0), (x, y, 0), (0, 0, z),
(x, 0, z), (0, y, z), (x, y, z)]
corners = [
grid.getCellCorner(i, ijk=pos) for i, pos in enumerate(corner_pos)
]
return GridGen.create_single_cell_grid(corners)
def createWrapperGrid(grid):
"""
Creates a grid that occupies the same space as the given grid,
but that consists of a single cell.
"""
x, y, z = grid.getNX()-1, grid.getNY()-1, grid.getNZ()-1
corner_pos = [
(0, 0, 0), (x, 0, 0), (0, y, 0), (x, y, 0),
(0, 0, z), (x, 0, z), (0, y, z), (x, y, z)
]
corners = [
grid.getCellCorner(i, ijk=pos)
for i, pos in enumerate(corner_pos)
]
return GridGen.create_single_cell_grid(corners)
