def test_spbox_2d(self):
"""
Check position of a given vertex in the deformed mesh.
"""
mesh = Mesh.from_file(data_dir + '/meshes/2d/square_tri1.mesh')
spb = SplineBox([[-1, 1], [-1, 0.6]], mesh.coors, nsg=[2,1])
spb.move_control_point(1, [0.1, -0.2])
spb.move_control_point(2, [0.2, -0.3])
spb.move_control_point(3, [0.0, -0.1])
pt0 = mesh.coors[175,:].copy()
mesh.cmesh.coors[:] = spb.evaluate()
pt1 = mesh.coors[175,:]
expected_distance = 0.165892726387
actual_distance = nm.linalg.norm(pt0 - pt1)
ok = nm.fabs(actual_distance - expected_distance)\
/ expected_distance < tolerance
if not ok:
self.report('expected distance:')
self.report(expected_distance)
self.report('actual distance:')
self.report(actual_distance)
return ok
def test_spbox_2d(self):
"""
Check position of a given vertex in the deformed mesh.
"""
mesh = Mesh.from_file(data_dir + '/meshes/2d/square_tri1.mesh')
spb = SplineBox([[-1, 1], [-1, 0.6]], mesh.coors, nsg=[2, 1])
spb.move_control_point(1, [0.1, -0.2])
spb.move_control_point(2, [0.2, -0.3])
spb.move_control_point(3, [0.0, -0.1])
pt0 = mesh.coors[175, :].copy()
mesh.cmesh.coors[:] = spb.evaluate()
pt1 = mesh.coors[175, :]
expected_distance = 0.165892726387
actual_distance = nm.linalg.norm(pt0 - pt1)
ok = nm.fabs(actual_distance - expected_distance)\
/ expected_distance < tolerance
if not ok:
self.report('expected distance:')
self.report(expected_distance)
self.report('actual distance:')
self.report(actual_distance)
return ok
def test_spbox_field(self):
"""
'Field' vs. 'coors'.
"""
mesh = Mesh.from_file(data_dir + '/meshes/2d/its2D.mesh')
coors = mesh.coors.copy()
bbox = nm.vstack((nm.amin(coors, 0), nm.amax(coors, 0))).T
coors_1 = coors.copy()
alpha = coors[:, 0]
spbox = SplineBox(bbox, coors, nsg=[1, 2], field=alpha)
dv1 = spbox.evaluate_derivative(6, 1)
spbox.move_control_point(6, -0.2)
c1 = spbox.evaluate()
coors_1[:, 0] = c1[:, 0]
alpha = coors[:, 1]
spbox = SplineBox(bbox, coors, nsg=[1, 2], field=alpha)
dv2 = spbox.evaluate_derivative(6, 1)
spbox.move_control_point(6, 0.2)
c2 = spbox.evaluate()
coors_1[:, 1] = c2[:, 0]
spbox = SplineBox(bbox, coors, nsg=[1, 2])
dv = spbox.evaluate_derivative(6, [1, 1])
spbox.move_control_point(6, [-0.2, 0.2])
coors_2 = spbox.evaluate()
rel_coor_dist = nm.linalg.norm(coors_2 - coors_1)\
/ nm.linalg.norm(coors_2)
ok = rel_coor_dist < tolerance
rel_dvel_dist = nm.linalg.norm(dv - nm.hstack([dv1, dv2]))\
/ nm.linalg.norm(dv)
ok = ok and rel_dvel_dist < tolerance
if not ok:
self.report('modified coordinates do not match, relative error:')
self.report(rel_coor_dist)
self.report('derivatives do not match, relative error:')
self.report(rel_dvel_dist)
return ok
def test_spbox_field(self):
"""
'Field' vs. 'coors'.
"""
mesh = Mesh.from_file(data_dir + '/meshes/2d/its2D.mesh')
coors = mesh.coors.copy()
bbox = nm.vstack((nm.amin(coors, 0), nm.amax(coors, 0))).T
coors_1 = coors.copy()
alpha = coors[:, 0]
spbox = SplineBox(bbox, coors, nsg=[1, 2], field=alpha)
dv1 = spbox.evaluate_derivative(6, 1)
spbox.move_control_point(6, -0.2)
c1 = spbox.evaluate()
coors_1[:, 0] = c1[:, 0]
alpha = coors[:, 1]
spbox = SplineBox(bbox, coors, nsg=[1, 2], field=alpha)
dv2 = spbox.evaluate_derivative(6, 1)
spbox.move_control_point(6, 0.2)
c2 = spbox.evaluate()
coors_1[:, 1] = c2[:, 0]
spbox = SplineBox(bbox, coors, nsg=[1, 2])
dv = spbox.evaluate_derivative(6, [1, 1])
spbox.move_control_point(6, [-0.2, 0.2])
coors_2 = spbox.evaluate()
rel_coor_dist = nm.linalg.norm(coors_2 - coors_1)\
/ nm.linalg.norm(coors_2)
ok = rel_coor_dist < tolerance
rel_dvel_dist = nm.linalg.norm(dv - nm.hstack([dv1, dv2]))\
/ nm.linalg.norm(dv)
ok = ok and rel_dvel_dist < tolerance
if not ok:
self.report('modified coordinates do not match, relative error:')
self.report(rel_coor_dist)
self.report('derivatives do not match, relative error:')
self.report(rel_dvel_dist)
return ok
def test_spbox_3d(self):
"""
Check volume change of the mesh which is deformed using
the SplineBox functions.
"""
from sfepy.discrete.fem import Mesh
from sfepy.mesh.splinebox import SplineBox
mesh = Mesh.from_file(data_dir + '/meshes/3d/cylinder.vtk')
conn = mesh.get_conn('3_4')
vol0 = tetravolume(conn, mesh.coors)
bbox = nm.array(mesh.get_bounding_box()).T
spbox = SplineBox(bbox, mesh.coors)
cpoints0 = spbox.get_control_points(init=True)
for ii in range(4):
for jj in range(4):
spbox.move_control_point((0, ii, jj), [-0.02, 0, 0])
coors = spbox.evaluate()
vol1 = tetravolume(conn, coors)
mesh.coors[:] = coors
spbox.set_control_points(cpoints0)
coors = spbox.evaluate()
vol2 = tetravolume(conn, coors)
ok = True
actual_volumes = (vol0, vol1, vol2)
expected_volumes = (1.22460186e-4, 1.46950423e-4, 1.22460186e-4)
for ii in range(3):
relerr = abs(actual_volumes[ii] - expected_volumes[ii])\
/ expected_volumes[ii]
ok = ok and (relerr < tolerance)
if not ok:
self.report('expected volumes:')
self.report(expected_volumes)
self.report('actual volumes:')
self.report(actual_volumes)
return ok
def test_spbox_3d(self):
"""
Check volume change of the mesh which is deformed using
the SplineBox functions.
"""
from sfepy.discrete.fem import Mesh
from sfepy.mesh.splinebox import SplineBox
mesh = Mesh.from_file(data_dir + '/meshes/3d/cylinder.vtk')
conn = mesh.get_conn('3_4')
vol0 = tetravolume(conn, mesh.coors)
bbox = nm.array(mesh.get_bounding_box()).T
spbox = SplineBox(bbox, mesh.coors)
cpoints0 = spbox.get_control_points(init=True)
for ii in range(4):
for jj in range(4):
spbox.move_control_point((0, ii, jj), [-0.02, 0, 0])
coors = spbox.evaluate()
vol1 = tetravolume(conn, coors)
mesh.coors[:] = coors
spbox.set_control_points(cpoints0)
coors = spbox.evaluate()
vol2 = tetravolume(conn, coors)
ok = True
actual_volumes = (vol0, vol1, vol2)
expected_volumes = (1.22460186e-4, 1.46950423e-4, 1.22460186e-4)
for ii in range(3):
relerr = abs(actual_volumes[ii] - expected_volumes[ii])\
/ expected_volumes[ii]
ok = ok and (relerr < tolerance)
if not ok:
self.report('expected volumes:')
self.report(expected_volumes)
self.report('actual volumes:')
self.report(actual_volumes)
return ok
