def computeFractionalAnisotropy(
farray_e1,
farray_e2,
farray_e3,
verbose=1):
myVTK.myPrint(verbose, "*** computeFractionalAnisotropy ***")
n_tuples = farray_e1.GetNumberOfTuples()
farray_FA = myVTK.createFloatArray("FA" , 1, n_tuples)
farray_FA12 = myVTK.createFloatArray("FA_12", 1, n_tuples)
farray_FA23 = myVTK.createFloatArray("FA_23", 1, n_tuples)
for k_tuple in xrange(n_tuples):
e1 = farray_e1.GetTuple1(k_tuple)
e2 = farray_e2.GetTuple1(k_tuple)
e3 = farray_e3.GetTuple1(k_tuple)
FA = ((e1-e2)**2+(e1-e3)**2+(e2-e3)**2)**(0.5) / (2*(e1**2+e2**2+e3**2))**(0.5)
FA12 = ((e1-e2)**2)**(0.5) / (e1**2+e2**2)**(0.5)
FA23 = ((e2-e3)**2)**(0.5) / (e2**2+e3**2)**(0.5)
farray_FA.SetTuple1(k_tuple, FA)
farray_FA12.SetTuple1(k_tuple, FA12)
farray_FA23.SetTuple1(k_tuple, FA23)
return (farray_FA,
farray_FA12,
farray_FA23)
def readAbaqusFibersFromINP(
filename,
verbose=1):
myVTK.myPrint(verbose, "*** readAbaqusFibersFromINP: " + filename + " ***")
eF_array = myVTK.createFloatArray('eF', 3)
eS_array = myVTK.createFloatArray('eS', 3)
eN_array = myVTK.createFloatArray('eN', 3)
file = open(filename, 'r')
file.readline()
for line in file:
line = line.split(', ')
#print line
eF = [float(item) for item in line[1:4]]
eS = [float(item) for item in line[4:7]]
eN = numpy.cross(eF,eS)
#print "eF =", eF
#print "eS =", eS
#print "eN =", eN
eF_array.InsertNextTuple(eF)
eS_array.InsertNextTuple(eS)
eN_array.InsertNextTuple(eN)
file.close()
myVTK.myPrint(verbose, "n_tuples = " + str(eF_array.GetNumberOfTuples()))
return (eF_array,
eS_array,
eN_array)
def readAbaqusFibersFromINP(filename, verbose=0):
myVTK.myPrint(verbose, "*** readAbaqusFibersFromINP: " + filename + " ***")
eF_array = myVTK.createFloatArray('eF', 3)
eS_array = myVTK.createFloatArray('eS', 3)
eN_array = myVTK.createFloatArray('eN', 3)
file = open(filename, 'r')
file.readline()
for line in file:
line = line.split(', ')
#print line
eF = [float(item) for item in line[1:4]]
eS = [float(item) for item in line[4:7]]
eN = numpy.cross(eF, eS)
#print "eF =", eF
#print "eS =", eS
#print "eN =", eN
eF_array.InsertNextTuple(eF)
eS_array.InsertNextTuple(eS)
eN_array.InsertNextTuple(eN)
file.close()
myVTK.myPrint(verbose - 1,
"n_tuples = " + str(eF_array.GetNumberOfTuples()))
return (eF_array, eS_array, eN_array)
def computeHelixTransverseSheetAngles(
farray_eRR,
farray_eCC,
farray_eLL,
farray_eF,
farray_eS,
farray_eN,
use_new_definition=False,
verbose=0):
myVTK.myPrint(verbose, "*** computeHelixTransverseSheetAngles ***")
n_tuples = farray_eRR.GetNumberOfTuples()
assert (farray_eCC.GetNumberOfTuples() == n_tuples)
assert (farray_eLL.GetNumberOfTuples() == n_tuples)
assert (farray_eF.GetNumberOfTuples() == n_tuples)
assert (farray_eS.GetNumberOfTuples() == n_tuples)
assert (farray_eN.GetNumberOfTuples() == n_tuples)
farray_angle_helix = myVTK.createFloatArray("angle_helix", 1, n_tuples)
farray_angle_trans = myVTK.createFloatArray("angle_trans", 1, n_tuples)
farray_angle_sheet = myVTK.createFloatArray("angle_sheet", 1, n_tuples)
eRR = numpy.empty(3)
eCC = numpy.empty(3)
eLL = numpy.empty(3)
eF = numpy.empty(3)
for k_tuple in xrange(n_tuples):
farray_eRR.GetTuple(k_tuple, eRR)
farray_eCC.GetTuple(k_tuple, eCC)
farray_eLL.GetTuple(k_tuple, eLL)
farray_eF.GetTuple(k_tuple, eF)
eF -= numpy.dot(eF, eRR) * eRR
eF /= numpy.linalg.norm(eF)
angle_helix = math.copysign(1., numpy.dot(eF, eCC)) * math.asin(min(1., max(-1., numpy.dot(eF, eLL)))) * (180./math.pi)
farray_angle_helix.SetTuple1(k_tuple, angle_helix)
eF = numpy.array(farray_eF.GetTuple(k_tuple))
eF -= numpy.dot(eF, eLL) * eLL
eF /= numpy.linalg.norm(eF)
angle_trans = math.copysign(-1., numpy.dot(eF, eCC)) * math.asin(min(1., max(-1., numpy.dot(eF, eRR)))) * (180./math.pi)
farray_angle_trans.SetTuple1(k_tuple, angle_trans)
#if (use_new_definition):
#assert 0, "TODO"
#else:
#assert 0, "TODO"
return (farray_angle_helix,
farray_angle_trans,
farray_angle_sheet)
def computeHelixTransverseSheetAngles(farray_eRR,
farray_eCC,
farray_eLL,
farray_eF,
farray_eS,
farray_eN,
use_new_definition=False,
verbose=0):
myVTK.myPrint(verbose, "*** computeHelixTransverseSheetAngles ***")
n_tuples = farray_eRR.GetNumberOfTuples()
assert (farray_eCC.GetNumberOfTuples() == n_tuples)
assert (farray_eLL.GetNumberOfTuples() == n_tuples)
assert (farray_eF.GetNumberOfTuples() == n_tuples)
assert (farray_eS.GetNumberOfTuples() == n_tuples)
assert (farray_eN.GetNumberOfTuples() == n_tuples)
farray_angle_helix = myVTK.createFloatArray("angle_helix", 1, n_tuples)
farray_angle_trans = myVTK.createFloatArray("angle_trans", 1, n_tuples)
farray_angle_sheet = myVTK.createFloatArray("angle_sheet", 1, n_tuples)
eRR = numpy.empty(3)
eCC = numpy.empty(3)
eLL = numpy.empty(3)
eF = numpy.empty(3)
for k_tuple in xrange(n_tuples):
farray_eRR.GetTuple(k_tuple, eRR)
farray_eCC.GetTuple(k_tuple, eCC)
farray_eLL.GetTuple(k_tuple, eLL)
farray_eF.GetTuple(k_tuple, eF)
eF -= numpy.dot(eF, eRR) * eRR
eF /= numpy.linalg.norm(eF)
angle_helix = math.copysign(1., numpy.dot(eF, eCC)) * math.asin(
min(1., max(-1., numpy.dot(eF, eLL)))) * (180. / math.pi)
farray_angle_helix.SetTuple1(k_tuple, angle_helix)
eF = numpy.array(farray_eF.GetTuple(k_tuple))
eF -= numpy.dot(eF, eLL) * eLL
eF /= numpy.linalg.norm(eF)
angle_trans = math.copysign(-1., numpy.dot(eF, eCC)) * math.asin(
min(1., max(-1., numpy.dot(eF, eRR)))) * (180. / math.pi)
farray_angle_trans.SetTuple1(k_tuple, angle_trans)
#if (use_new_definition):
#assert 0, "TODO"
#else:
#assert 0, "TODO"
return (farray_angle_helix, farray_angle_trans, farray_angle_sheet)
def createArray(
array_name,
n_components=1,
n_tuples=0,
array_type="float",
init_to_zero=0,
verbose=1):
assert (type(array_type) in [type, str]), "array_type must be a type or a str. Aborting."
if (type(array_type) is type):
assert (array_type in [float, int]), "if a type, array_type must be equal to float or int. Aborting."
if (array_type == float):
return myVTK.createFloatArray(
name=array_name,
n_components=n_components,
n_tuples=n_tuples,
init_to_zero=init_to_zero,
verbose=verbose-1)
elif (array_type == int):
return myVTK.createIntArray(
name=array_name,
n_components=n_components,
n_tuples=n_tuples,
init_to_zero=init_to_zero,
verbose=verbose-1)
elif (type(array_type) is str):
assert (array_type in ["double", "float", "int", "short"]), "if a str, array_type must be equal to double, float, int or short. Aborting."
if (array_type == "float") or (array_type == "double"):
return myVTK.createFloatArray(
name=array_name,
n_components=n_components,
n_tuples=n_tuples,
init_to_zero=init_to_zero,
verbose=verbose-1)
elif (array_type == "int"):
return myVTK.createIntArray(
name=array_name,
n_components=n_components,
n_tuples=n_tuples,
init_to_zero=init_to_zero,
verbose=verbose-1)
elif (array_type == "short"):
return myVTK.createShortArray(
name=array_name,
n_components=n_components,
n_tuples=n_tuples,
init_to_zero=init_to_zero,
verbose=verbose-1)
def computeSyntheticHelixAngles(
farray_rr,
helix_angle_end,
helix_angle_epi,
farray_angle_helix=None,
verbose=0):
myVTK.myPrint(verbose, "*** computeSyntheticHelixAngles ***")
n_cells = farray_rr.GetNumberOfTuples()
if (farray_angle_helix is None):
farray_angle_helix = myVTK.createFloatArray(
name="angle_helix",
n_components=1,
n_tuples=n_cells)
for k_cell in xrange(n_cells):
rr = farray_rr.GetTuple1(k_cell)
helix_angle_in_degrees = (1.-rr) * helix_angle_end \
+ rr * helix_angle_epi
farray_angle_helix.SetTuple1(
k_cell,
helix_angle_in_degrees)
return farray_angle_helix
def computeSyntheticHelixAngles(
farray_rr,
helix_angle_end,
helix_angle_epi,
farray_angle_helix=None,
verbose=1):
myVTK.myPrint(verbose, "*** computeSyntheticHelixAngles ***")
n_cells = farray_rr.GetNumberOfTuples()
if (farray_angle_helix is None):
farray_angle_helix = myVTK.createFloatArray(
name="angle_helix",
n_components=1,
n_tuples=n_cells)
for k_cell in xrange(n_cells):
rr = farray_rr.GetTuple1(k_cell)
helix_angle_in_degrees = (1.-rr) * helix_angle_end \
+ rr * helix_angle_epi
farray_angle_helix.SetTuple1(
k_cell,
helix_angle_in_degrees)
return farray_angle_helix
def computeHelixAngles(farray_eRR,
farray_eCC,
farray_eLL,
farray_eF,
verbose=0):
myVTK.myPrint(verbose, "*** computeHelixAngles ***")
n_tuples = farray_eRR.GetNumberOfTuples()
assert (farray_eCC.GetNumberOfTuples() == n_tuples)
assert (farray_eLL.GetNumberOfTuples() == n_tuples)
assert (farray_eF.GetNumberOfTuples() == n_tuples)
farray_angle_helix = myVTK.createFloatArray("angle_helix", 1, n_tuples)
eRR = numpy.empty(3)
eCC = numpy.empty(3)
eLL = numpy.empty(3)
eF = numpy.empty(3)
for k_tuple in xrange(n_tuples):
farray_eRR.GetTuple(k_tuple, eRR)
farray_eCC.GetTuple(k_tuple, eCC)
farray_eLL.GetTuple(k_tuple, eLL)
farray_eF.GetTuple(k_tuple, eF)
eF -= numpy.dot(eF, eRR) * eRR
eF /= numpy.linalg.norm(eF)
helix_angle = math.copysign(1., numpy.dot(eF, eCC)) * math.asin(
min(1., max(-1., numpy.dot(eF, eLL)))) * (180. / math.pi)
farray_angle_helix.SetTuple1(k_tuple, helix_angle)
return farray_angle_helix
def readAbaqusDeformationGradientsFromDAT(
data_filename,
verbose=0):
mypy.my_print(verbose, "*** readAbaqusDeformationGradientsFromDAT: "+data_filename+" ***")
farray_F = myvtk.createFloatArray("F", 9)
data_file = open(data_filename, "r")
context = ""
k_cell = 0
for line in data_file:
if (context == "reading deformation gradients"):
#print line
if ("MAXIMUM" in line):
context = ""
continue
if ("OR" in line):
splitted_line = line.split()
assert (int(splitted_line[0]) == k_cell+1), "Wrong element number. Aborting."
F_list = [float(splitted_line[ 3]), float(splitted_line[ 6]), float(splitted_line[7]),
float(splitted_line[ 9]), float(splitted_line[ 4]), float(splitted_line[8]),
float(splitted_line[10]), float(splitted_line[11]), float(splitted_line[5])]
farray_F.InsertNextTuple(F_list)
k_cell += 1
if (line == " ELEMENT PT FOOT- DG11 DG22 DG33 DG12 DG13 DG23 DG21 DG31 DG32 \n"):
context = "reading deformation gradients"
data_file.close()
mypy.my_print(verbose-1, "n_tuples = "+str(farray_F.GetNumberOfTuples()))
return farray_F
def readAbaqusStressFromDAT(data_filename, verbose=0):
mypy.my_print(verbose,
"*** readAbaqusStressFromDAT: " + data_filename + " ***")
s_array = myvtk.createFloatArray("", 6)
data_file = open(data_filename, 'r')
context = ""
k_cell = 0
for line in data_file:
if (context == "reading stresses"):
#print line
if ("MAXIMUM" in line):
context = ""
continue
if ("OR" in line):
splitted_line = line.split()
assert (int(splitted_line[0]) == k_cell +
1), "Wrong element number. Aborting."
s_list = [float(splitted_line[k]) for k in xrange(3, 9)]
s_array.InsertNextTuple(s_list)
k_cell += 1
if (line ==
" ELEMENT PT FOOT- S11 S22 S33 S12 S13 S23 \n"
):
context = "reading stresses"
data_file.close()
mypy.my_print(verbose - 1,
"n_tuples = " + str(s_array.GetNumberOfTuples()))
return s_array
def readAbaqusDeformationGradientsFromDAT(
data_filename,
verbose=0):
myVTK.myPrint(verbose, "*** readAbaqusDeformationGradientsFromDAT: "+data_filename+" ***")
farray_F = myVTK.createFloatArray("F", 9)
data_file = open(data_filename, 'r')
context = ""
k_cell = 0
for line in data_file:
if (context == "reading deformation gradients"):
#print line
if ("MAXIMUM" in line):
context = ""
continue
if ("OR" in line):
splitted_line = line.split()
assert (int(splitted_line[0]) == k_cell+1), "Wrong element number. Aborting."
F_list = [float(splitted_line[ 3]), float(splitted_line[ 6]), float(splitted_line[7]),
float(splitted_line[ 9]), float(splitted_line[ 4]), float(splitted_line[8]),
float(splitted_line[10]), float(splitted_line[11]), float(splitted_line[5])]
farray_F.InsertNextTuple(F_list)
k_cell += 1
if (line == " ELEMENT PT FOOT- DG11 DG22 DG33 DG12 DG13 DG23 DG21 DG31 DG32 \n"):
context = "reading deformation gradients"
data_file.close()
myVTK.myPrint(verbose-1, "n_tuples = "+str(farray_F.GetNumberOfTuples()))
return farray_F
def readDynaDeformationGradients(mesh,
hystory_files_basename,
array_name,
verbose=0):
mypy.my_print(verbose, "*** readDynaDeformationGradients ***")
n_cells = mesh.GetNumberOfCells()
history_files_names = [
hystory_files_basename + ".history#" + str(num)
for num in range(11, 20)
]
F_list = [[0. for k_component in range(9)] for k_cell in range(n_cells)]
for k_component in range(9):
history_file = open(history_files_names[k_component], "r")
for line in history_file:
if line.startswith("*") or line.startswith("$"): continue
line = line.split()
F_list[int(line[0]) - 1][k_component] = float(line[1])
history_file.close()
F_array = myvtk.createFloatArray(array_name, 9, n_cells)
for k_cell in range(n_cells):
F_array.SetTuple(k_cell, F_list[k_cell])
mypy.my_print(verbose - 1,
"n_tuples = " + str(F_array.GetNumberOfTuples()))
mesh.GetCellData().AddArray(F_array)
def readDynaDeformationGradients(
mesh,
hystory_files_basename,
array_name,
verbose=1):
myVTK.myPrint(verbose, "*** readDynaDeformationGradients ***")
n_cells = mesh.GetNumberOfCells()
history_files_names = [hystory_files_basename + '.history#' + str(num) for num in xrange(11,20)]
F_list = [[0. for k_component in xrange(9)] for k_cell in xrange(n_cells)]
for k_component in xrange(9):
history_file = open(history_files_names[k_component], 'r')
for line in history_file:
if line.startswith('*') or line.startswith('$'): continue
line = line.split()
F_list[int(line[0])-1][k_component] = float(line[1])
history_file.close()
F_array = myVTK.createFloatArray(array_name, 9, n_cells)
for k_cell in xrange(n_cells):
F_array.InsertTuple(k_cell, F_list[k_cell])
myVTK.myPrint(verbose, "n_tuples = " + str(F_array.GetNumberOfTuples()))
mesh.GetCellData().AddArray(F_array)
def computeHelixAngles(
farray_eRR,
farray_eCC,
farray_eLL,
farray_eF,
verbose=0):
myVTK.myPrint(verbose, "*** computeHelixAngles ***")
n_tuples = farray_eRR.GetNumberOfTuples()
assert (farray_eCC.GetNumberOfTuples() == n_tuples)
assert (farray_eLL.GetNumberOfTuples() == n_tuples)
assert (farray_eF.GetNumberOfTuples() == n_tuples)
farray_angle_helix = myVTK.createFloatArray("angle_helix", 1, n_tuples)
eRR = numpy.empty(3)
eCC = numpy.empty(3)
eLL = numpy.empty(3)
eF = numpy.empty(3)
for k_tuple in xrange(n_tuples):
farray_eRR.GetTuple(k_tuple, eRR)
farray_eCC.GetTuple(k_tuple, eCC)
farray_eLL.GetTuple(k_tuple, eLL)
farray_eF.GetTuple(k_tuple, eF)
eF -= numpy.dot(eF, eRR) * eRR
eF /= numpy.linalg.norm(eF)
helix_angle = math.copysign(1., numpy.dot(eF, eCC)) * math.asin(min(1., max(-1., numpy.dot(eF, eLL)))) * (180./math.pi)
farray_angle_helix.SetTuple1(k_tuple, helix_angle)
return farray_angle_helix
def readAbaqusStressFromDAT(
data_filename,
verbose=1):
myVTK.myPrint(verbose, "*** readAbaqusStressFromDAT: " + data_filename + " ***")
s_array = myVTK.createFloatArray("", 6)
data_file = open(data_filename, 'r')
context = ""
k_cell = 0
for line in data_file:
if (context == "reading stresses"):
#print line
if ("MAXIMUM" in line):
context = ""
continue
if ("OR" in line):
splitted_line = line.split()
assert (int(splitted_line[0]) == k_cell+1), "Wrong element number. Aborting."
s_list = [float(splitted_line[k]) for k in xrange(3,9)]
s_array.InsertNextTuple(s_list)
k_cell += 1
if (line == " ELEMENT PT FOOT- S11 S22 S33 S12 S13 S23 \n"):
context = "reading stresses"
data_file.close()
myVTK.myPrint(verbose, "n_tuples = " + str(s_array.GetNumberOfTuples()))
return s_array
def computeSystolicStrainsFromEndDiastolicAndEndSystolicStates(
farray_F_dia,
farray_F_sys,
verbose=0):
myVTK.myPrint(verbose, "*** computeSystolicStrainsFromEndDiastolicAndEndSystolicStates ***")
n_tuples = farray_F_dia.GetNumberOfTuples()
assert (farray_F_sys.GetNumberOfTuples() == n_tuples)
farray_E_dia = myVTK.createFloatArray('E_dia', 6, n_tuples)
farray_E_sys = myVTK.createFloatArray('E_sys', 6, n_tuples)
farray_F_num = myVTK.createFloatArray('F_num', 6, n_tuples)
farray_E_num = myVTK.createFloatArray('E_num', 6, n_tuples)
I = numpy.eye(3)
E_vec = numpy.empty(6)
for k_tuple in xrange(n_tuples):
F_dia = numpy.reshape(farray_F_dia.GetTuple(k_tuple), (3,3), order='C')
F_sys = numpy.reshape(farray_F_sys.GetTuple(k_tuple), (3,3), order='C')
#print 'F_dia =', F_dia
#print 'F_sys =', F_sys
C = numpy.dot(numpy.transpose(F_dia), F_dia)
E = (C - I)/2
mat_sym33_to_vec_col6(E, E_vec)
farray_E_dia.SetTuple(k_tuple, E_vec)
C = numpy.dot(numpy.transpose(F_sys), F_sys)
E = (C - I)/2
mat_sym33_to_vec_col6(E, E_vec)
farray_E_sys.SetTuple(k_tuple, E_vec)
F = numpy.dot(F_sys, numpy.linalg.inv(F_dia))
farray_F_num.SetTuple(k_tuple, numpy.reshape(F, 9, order='C'))
#print 'F =', F
C = numpy.dot(numpy.transpose(F), F)
E = (C - I)/2
mat_sym33_to_vec_col6(E, E_vec)
farray_E_num.SetTuple(k_tuple, E_vec)
return (farray_E_dia,
farray_E_sys,
farray_F_num,
farray_E_num)
def generateWarpedMesh(
mesh_folder,
mesh_basename,
images,
structure,
deformation,
evolution,
verbose=0):
myVTK.myPrint(verbose, "*** generateWarpedMesh ***")
mesh = myVTK.readUGrid(
filename=mesh_folder+"/"+mesh_basename+".vtk",
verbose=verbose-1)
n_points = mesh.GetNumberOfPoints()
n_cells = mesh.GetNumberOfCells()
if os.path.exists(mesh_folder+"/"+mesh_basename+"-WithLocalBasis.vtk"):
ref_mesh = myVTK.readUGrid(
filename=mesh_folder+"/"+mesh_basename+"-WithLocalBasis.vtk",
verbose=verbose-1)
else:
ref_mesh = None
farray_disp = myVTK.createFloatArray(
name="displacement",
n_components=3,
n_tuples=n_points,
verbose=verbose-1)
mesh.GetPointData().AddArray(farray_disp)
mapping = Mapping(images, structure, deformation, evolution)
X = numpy.empty(3)
x = numpy.empty(3)
U = numpy.empty(3)
if ("zfill" not in images.keys()):
images["zfill"] = len(str(images["n_frames"]))
for k_frame in xrange(images["n_frames"]):
t = images["T"]*float(k_frame)/(images["n_frames"]-1) if (images["n_frames"]>1) else 0.
mapping.init_t(t)
for k_point in xrange(n_points):
mesh.GetPoint(k_point, X)
mapping.x(X, x)
U = x - X
farray_disp.SetTuple(k_point, U)
myVTK.computeStrainsFromDisplacements(
mesh=mesh,
disp_array_name="displacement",
ref_mesh=ref_mesh,
verbose=verbose-1)
myVTK.writeUGrid(
ugrid=mesh,
filename=mesh_folder+"/"+mesh_basename+"_"+str(k_frame).zfill(images["zfill"])+".vtk",
verbose=verbose-1)
def computeSystolicStrainsFromEndDiastolicAndEndSystolicStates(
farray_F_dia, farray_F_sys, verbose=0):
myVTK.myPrint(
verbose,
"*** computeSystolicStrainsFromEndDiastolicAndEndSystolicStates ***")
n_tuples = farray_F_dia.GetNumberOfTuples()
assert (farray_F_sys.GetNumberOfTuples() == n_tuples)
farray_E_dia = myVTK.createFloatArray('E_dia', 6, n_tuples)
farray_E_sys = myVTK.createFloatArray('E_sys', 6, n_tuples)
farray_F_num = myVTK.createFloatArray('F_num', 6, n_tuples)
farray_E_num = myVTK.createFloatArray('E_num', 6, n_tuples)
I = numpy.eye(3)
E_vec = numpy.empty(6)
for k_tuple in xrange(n_tuples):
F_dia = numpy.reshape(farray_F_dia.GetTuple(k_tuple), (3, 3),
order='C')
F_sys = numpy.reshape(farray_F_sys.GetTuple(k_tuple), (3, 3),
order='C')
#print 'F_dia =', F_dia
#print 'F_sys =', F_sys
C = numpy.dot(numpy.transpose(F_dia), F_dia)
E = (C - I) / 2
mat_sym33_to_vec_col6(E, E_vec)
farray_E_dia.SetTuple(k_tuple, E_vec)
C = numpy.dot(numpy.transpose(F_sys), F_sys)
E = (C - I) / 2
mat_sym33_to_vec_col6(E, E_vec)
farray_E_sys.SetTuple(k_tuple, E_vec)
F = numpy.dot(F_sys, numpy.linalg.inv(F_dia))
farray_F_num.SetTuple(k_tuple, numpy.reshape(F, 9, order='C'))
#print 'F =', F
C = numpy.dot(numpy.transpose(F), F)
E = (C - I) / 2
mat_sym33_to_vec_col6(E, E_vec)
farray_E_num.SetTuple(k_tuple, E_vec)
return (farray_E_dia, farray_E_sys, farray_F_num, farray_E_num)
def computeCartesianCoordinates(
points,
verbose=1):
myVTK.myPrint(verbose, "*** computeCartesianCoordinates ***")
n_points = points.GetNumberOfPoints()
[xmin, xmax, ymin, ymax, zmin, zmax] = points.GetBounds()
dx = xmax-xmin
dy = ymax-ymin
dz = zmax-zmin
if (verbose >= 2): print "xmin = "+str(xmin)
if (verbose >= 2): print "xmax = "+str(xmax)
if (verbose >= 2): print "dx = "+str(dx)
if (verbose >= 2): print "ymin = "+str(ymin)
if (verbose >= 2): print "ymax = "+str(ymax)
if (verbose >= 2): print "dy = "+str(dy)
if (verbose >= 2): print "zmin = "+str(zmin)
if (verbose >= 2): print "zmax = "+str(zmax)
if (verbose >= 2): print "dz = "+str(dz)
farray_xx = myVTK.createFloatArray("xx", 1, n_points)
farray_yy = myVTK.createFloatArray("yy", 1, n_points)
farray_zz = myVTK.createFloatArray("zz", 1, n_points)
point = numpy.empty(3)
for k_point in xrange(n_points):
if (verbose >= 2): print "k_point = "+str(k_point)
points.GetPoint(k_point, point)
if (verbose >= 2): print "point = "+str(point)
xx = (point[0] - xmin) / dx
yy = (point[1] - ymin) / dy
zz = (point[2] - zmin) / dz
farray_xx.SetTuple1(k_point, xx)
farray_yy.SetTuple1(k_point, yy)
farray_zz.SetTuple1(k_point, zz)
return (farray_xx,
farray_yy,
farray_zz)
def generateWarpedMesh(mesh_folder,
mesh_basename,
images,
structure,
deformation,
evolution,
verbose=0):
myVTK.myPrint(verbose, "*** generateWarpedMesh ***")
mesh = myVTK.readUGrid(filename=mesh_folder + "/" + mesh_basename + ".vtk",
verbose=verbose - 1)
n_points = mesh.GetNumberOfPoints()
n_cells = mesh.GetNumberOfCells()
if os.path.exists(mesh_folder + "/" + mesh_basename +
"-WithLocalBasis.vtk"):
ref_mesh = myVTK.readUGrid(filename=mesh_folder + "/" + mesh_basename +
"-WithLocalBasis.vtk",
verbose=verbose - 1)
else:
ref_mesh = None
farray_disp = myVTK.createFloatArray(name="displacement",
n_components=3,
n_tuples=n_points,
verbose=verbose - 1)
mesh.GetPointData().AddArray(farray_disp)
mapping = Mapping(images, structure, deformation, evolution)
X = numpy.empty(3)
x = numpy.empty(3)
U = numpy.empty(3)
if ("zfill" not in images.keys()):
images["zfill"] = len(str(images["n_frames"]))
for k_frame in xrange(images["n_frames"]):
t = images["T"] * float(k_frame) / (images["n_frames"] - 1) if (
images["n_frames"] > 1) else 0.
mapping.init_t(t)
for k_point in xrange(n_points):
mesh.GetPoint(k_point, X)
mapping.x(X, x)
U = x - X
farray_disp.SetTuple(k_point, U)
myVTK.computeStrainsFromDisplacements(mesh=mesh,
disp_array_name="displacement",
ref_mesh=ref_mesh,
verbose=verbose - 1)
myVTK.writeUGrid(ugrid=mesh,
filename=mesh_folder + "/" + mesh_basename + "_" +
str(k_frame).zfill(images["zfill"]) + ".vtk",
verbose=verbose - 1)
def computeCartesianCoordinates(
points,
verbose=1):
myVTK.myPrint(verbose, "*** computeCartesianCoordinates ***")
n_points = points.GetNumberOfPoints()
[xmin, xmax, ymin, ymax, zmin, zmax] = points.GetBounds()
dx = xmax-xmin
dy = ymax-ymin
dz = zmax-zmin
if (verbose >= 2): print "xmin = " + str(xmin)
if (verbose >= 2): print "xmax = " + str(xmax)
if (verbose >= 2): print "dx = " + str(dx)
if (verbose >= 2): print "ymin = " + str(ymin)
if (verbose >= 2): print "ymax = " + str(ymax)
if (verbose >= 2): print "dy = " + str(dy)
if (verbose >= 2): print "zmin = " + str(zmin)
if (verbose >= 2): print "zmax = " + str(zmax)
if (verbose >= 2): print "dz = " + str(dz)
farray_norm_x = myVTK.createFloatArray("norm_x", 1, n_points)
farray_norm_y = myVTK.createFloatArray("norm_y", 1, n_points)
farray_norm_z = myVTK.createFloatArray("norm_z", 1, n_points)
for k_point in xrange(n_points):
if (verbose >= 2): print "k_point = " + str(k_point)
point = points.GetPoint(k_point)
if (verbose >= 2): print "point = " + str(point)
norm_x = (point[0] - xmin) / dx
norm_y = (point[1] - ymin) / dy
norm_z = (point[2] - zmin) / dz
farray_norm_x.InsertTuple(k_point, [norm_x])
farray_norm_y.InsertTuple(k_point, [norm_y])
farray_norm_z.InsertTuple(k_point, [norm_z])
return (farray_norm_x,
farray_norm_y,
farray_norm_z)
def computeCartesianCoordinates(points, verbose=0):
myVTK.myPrint(verbose, "*** computeCartesianCoordinates ***")
n_points = points.GetNumberOfPoints()
[xmin, xmax, ymin, ymax, zmin, zmax] = points.GetBounds()
dx = xmax - xmin
dy = ymax - ymin
dz = zmax - zmin
if (verbose >= 2): print "xmin = " + str(xmin)
if (verbose >= 2): print "xmax = " + str(xmax)
if (verbose >= 2): print "dx = " + str(dx)
if (verbose >= 2): print "ymin = " + str(ymin)
if (verbose >= 2): print "ymax = " + str(ymax)
if (verbose >= 2): print "dy = " + str(dy)
if (verbose >= 2): print "zmin = " + str(zmin)
if (verbose >= 2): print "zmax = " + str(zmax)
if (verbose >= 2): print "dz = " + str(dz)
farray_xx = myVTK.createFloatArray("xx", 1, n_points)
farray_yy = myVTK.createFloatArray("yy", 1, n_points)
farray_zz = myVTK.createFloatArray("zz", 1, n_points)
point = numpy.empty(3)
for k_point in xrange(n_points):
if (verbose >= 2): print "k_point = " + str(k_point)
points.GetPoint(k_point, point)
if (verbose >= 2): print "point = " + str(point)
xx = (point[0] - xmin) / dx
yy = (point[1] - ymin) / dy
zz = (point[2] - zmin) / dz
farray_xx.SetTuple1(k_point, xx)
farray_yy.SetTuple1(k_point, yy)
farray_zz.SetTuple1(k_point, zz)
return (farray_xx, farray_yy, farray_zz)
def computeSystolicStrains(
farray_F_dia,
farray_F_sys,
verbose=1):
myVTK.myPrint(verbose, "*** computeSystolicStrains ***")
n_tuples = farray_F_dia.GetNumberOfTuples()
farray_E_dia = myVTK.createFloatArray('E_dia', 6, n_tuples)
farray_E_sys = myVTK.createFloatArray('E_sys', 6, n_tuples)
farray_F_num = myVTK.createFloatArray('F_num', 6, n_tuples)
farray_E_num = myVTK.createFloatArray('E_num', 6, n_tuples)
for k_tuple in xrange(n_tuples):
F_dia = numpy.reshape(farray_F_dia.GetTuple(k_tuple), (3,3), order='C')
F_sys = numpy.reshape(farray_F_sys.GetTuple(k_tuple), (3,3), order='C')
#print 'F_dia =', F_dia
#print 'F_sys =', F_sys
C = numpy.dot(numpy.transpose(F_dia), F_dia)
E = (C - numpy.eye(3))/2
farray_E_dia.InsertTuple(k_tuple, mat_sym_to_vec_col(E))
C = numpy.dot(numpy.transpose(F_sys), F_sys)
E = (C - numpy.eye(3))/2
farray_E_sys.InsertTuple(k_tuple, mat_sym_to_vec_col(E))
F = numpy.dot(F_sys, numpy.linalg.inv(F_dia))
farray_F_num.InsertTuple(k_tuple, numpy.reshape(F, 9, order='C'))
#print 'F =', F
C = numpy.dot(numpy.transpose(F), F)
E = (C - numpy.eye(3))/2
farray_E_num.InsertTuple(k_tuple, mat_sym_to_vec_col(E))
return (farray_E_dia,
farray_E_sys,
farray_F_num,
farray_E_num)
def rotateSymmetricMatrix(
old_array,
old_array_storage="vec",
in_vecs=None,
out_vecs=None,
verbose=1):
myVTK.myPrint(verbose, "*** rotateSymmetricMatrix ***")
n_tuples = old_array.GetNumberOfTuples()
new_array = myVTK.createFloatArray("", 6, n_tuples)
for k_tuple in xrange(n_tuples):
old_matrix = old_array.GetTuple(k_tuple)
if (old_array_storage == "vec"):
old_matrix = vec_col_to_mat_sym(old_matrix)
elif (old_array_storage == "Cmat"):
old_matrix = numpy.reshape(old_matrix, (3,3), order='C')
elif (old_array_storage == "Fmat"):
old_matrix = numpy.reshape(old_matrix, (3,3), order='F')
if (in_vecs == None):
in_R = numpy.eye(3)
else:
in_R = numpy.transpose(numpy.array([in_vecs[0].GetTuple(k_tuple),
in_vecs[1].GetTuple(k_tuple),
in_vecs[2].GetTuple(k_tuple)]))
if (out_vecs == None):
out_R = numpy.eye(3)
else:
out_R = numpy.transpose(numpy.array([out_vecs[0].GetTuple(k_tuple),
out_vecs[1].GetTuple(k_tuple),
out_vecs[2].GetTuple(k_tuple)]))
R = numpy.dot(numpy.transpose(in_R), out_R)
new_matrix = numpy.dot(numpy.dot(numpy.transpose(R), old_matrix), R)
if (old_array_storage == "vec"):
new_matrix = mat_sym_to_vec_col(new_matrix)
elif (old_array_storage == "Cmat"):
new_matrix = numpy.reshape(new_matrix, 9, order='C')
elif (old_array_storage == "Fmat"):
new_matrix = numpy.reshape(new_matrix, 9, order='F')
new_array.InsertTuple(k_tuple, new_matrix)
return new_array
def computeFractionalAnisotropy(farray_e1, farray_e2, farray_e3, verbose=0):
myVTK.myPrint(verbose, "*** computeFractionalAnisotropy ***")
n_tuples = farray_e1.GetNumberOfTuples()
farray_FA = myVTK.createFloatArray("FA", 1, n_tuples)
farray_FA12 = myVTK.createFloatArray("FA_12", 1, n_tuples)
farray_FA23 = myVTK.createFloatArray("FA_23", 1, n_tuples)
for k_tuple in xrange(n_tuples):
e1 = farray_e1.GetTuple1(k_tuple)
e2 = farray_e2.GetTuple1(k_tuple)
e3 = farray_e3.GetTuple1(k_tuple)
FA = ((e1 - e2)**2 + (e1 - e3)**2 +
(e2 - e3)**2)**(0.5) / (2 * (e1**2 + e2**2 + e3**2))**(0.5)
FA12 = ((e1 - e2)**2)**(0.5) / (e1**2 + e2**2)**(0.5)
FA23 = ((e2 - e3)**2)**(0.5) / (e2**2 + e3**2)**(0.5)
farray_FA.SetTuple1(k_tuple, FA)
farray_FA12.SetTuple1(k_tuple, FA12)
farray_FA23.SetTuple1(k_tuple, FA23)
return (farray_FA, farray_FA12, farray_FA23)
def getMaskedImageUsingMesh(
image,
mesh,
filter_with_field=None,
verbose=0):
mypy.my_print(verbose, "*** getMaskedImageUsingMesh ***")
n_points = image.GetNumberOfPoints()
farray_scalars_image = image.GetPointData().GetArray("scalars") # note that the field is defined at the points, not the cells
(cell_locator,
closest_point,
generic_cell,
k_cell,
subId,
dist) = myvtk.getCellLocator(
mesh=mesh,
verbose=verbose-1)
if (filter_with_field != None):
field = mesh.GetCellData().GetArray(filter_with_field[0])
field_values = filter_with_field[1]
points = vtk.vtkPoints()
farray_scalars = myvtk.createFloatArray(
name="scalars",
n_components=1)
point = numpy.empty(3)
for k_point in range(n_points):
image.GetPoint(k_point, point)
k_cell = cell_locator.FindCell(point)
if (k_cell == -1): continue
if (filter_with_field != None) and (field.GetTuple1(k_cell) not in field_values): continue
points.InsertNextPoint(point)
farray_scalars.InsertNextTuple(farray_scalars_image.GetTuple(k_point))
ugrid = vtk.vtkUnstructuredGrid()
ugrid.SetPoints(points)
ugrid.GetPointData().AddArray(farray_scalars)
myvtk.addVertices(
ugrid)
return ugrid
def maskImageWithMesh(
image,
mesh,
filter_with_field=None,
verbose=0):
myVTK.myPrint(verbose, "*** maskImageWithMesh ***")
n_points = image.GetNumberOfPoints()
farray_scalars_image = image.GetPointData().GetArray("scalars") # note that the field is defined at the points, not the cells
(cell_locator,
closest_point,
generic_cell,
k_cell,
subId,
dist) = myVTK.getCellLocator(
mesh=mesh,
verbose=verbose-1)
if (filter_with_field != None):
field = mesh.GetCellData().GetArray(filter_with_field[0])
field_values = filter_with_field[1]
points = vtk.vtkPoints()
farray_scalars = myVTK.createFloatArray(
name="scalars",
n_components=1)
point = numpy.empty(3)
for k_point in xrange(n_points):
image.GetPoint(k_point, point)
k_cell = cell_locator.FindCell(point)
if (k_cell == -1): continue
if (filter_with_field != None) and (field.GetTuple1(k_cell) not in field_values): continue
points.InsertNextPoint(point)
farray_scalars.InsertNextTuple(farray_scalars_image.GetTuple(k_point))
ugrid = vtk.vtkUnstructuredGrid()
ugrid.SetPoints(points)
ugrid.GetPointData().AddArray(farray_scalars)
myVTK.addVertices(
ugrid)
return ugrid
def rotateVectorArray(old_array,
in_vecs=None,
R=None,
out_vecs=None,
verbose=0):
mypy.my_print(verbose, "*** rotateVectorArray ***")
n_components = old_array.GetNumberOfComponents()
assert (
n_components == 3), "Wrong number of components (n_components=" + str(
n_components) + ", should be 3). Aborting."
n_tuples = old_array.GetNumberOfTuples()
new_array = myvtk.createFloatArray(old_array.GetName(), 3, n_tuples)
new_vector = numpy.empty(3)
old_vector = numpy.empty(3)
for k_tuple in range(n_tuples):
old_array.GetTuple(k_tuple, old_vector)
if (in_vecs is None):
in_R = numpy.eye(3)
else:
in_R = numpy.transpose(
numpy.array([
in_vecs[0].GetTuple(k_tuple), in_vecs[1].GetTuple(k_tuple),
in_vecs[2].GetTuple(k_tuple)
]))
if (R is None):
R = numpy.eye(3)
if (out_vecs is None):
out_R = numpy.eye(3)
else:
out_R = numpy.transpose(
numpy.array([
out_vecs[0].GetTuple(k_tuple),
out_vecs[1].GetTuple(k_tuple),
out_vecs[2].GetTuple(k_tuple)
]))
full_R = numpy.dot(numpy.dot(numpy.transpose(in_R), R), out_R)
new_vector[:] = numpy.dot(numpy.transpose(full_R), old_vector)
new_array.SetTuple(k_tuple, new_vector)
return new_array
def computeSyntheticHelixAngles(farray_rr, helix_angle_end, helix_angle_epi, farray_angle_helix=None, verbose=1):
myVTK.myPrint(verbose, "*** computeSyntheticHelixAngles ***")
n_cells = farray_rr.GetNumberOfTuples()
if farray_angle_helix == None:
farray_angle_helix = myVTK.createFloatArray("angle_helix", 1, n_cells)
for k_cell in xrange(n_cells):
rr = farray_rr.GetTuple(k_cell)[0]
helix_angle_in_degrees = (1.0 - rr) * helix_angle_end + rr * helix_angle_epi
farray_angle_helix.InsertTuple(k_cell, [helix_angle_in_degrees])
return farray_angle_helix
def addDeformationGradients(mesh,
disp_array_name="Displacement",
defo_grad_array_name="DeformationGradient",
verbose=0):
mypy.my_print(verbose, "*** addDeformationGradients ***")
mypy.my_print(
min(verbose, 1),
"*** Warning: at some point the ordering of vector gradient components has changed, and uses C ordering instead of F. ***"
)
if (vtk.vtkVersion.GetVTKMajorVersion() >= 8):
ordering = "C"
elif (vtk.vtkVersion.GetVTKMajorVersion()
== 7) and ((vtk.vtkVersion.GetVTKMinorVersion() > 0) or
(vtk.vtkVersion.GetVTKBuildVersion() > 0)):
ordering = "C"
else:
ordering = "F"
n_cells = mesh.GetNumberOfCells()
assert (mesh.GetPointData().HasArray(disp_array_name))
mesh.GetPointData().SetActiveVectors(disp_array_name)
cell_derivatives = vtk.vtkCellDerivatives()
cell_derivatives.SetVectorModeToPassVectors()
cell_derivatives.SetTensorModeToComputeGradient()
if (vtk.vtkVersion.GetVTKMajorVersion() >= 6):
cell_derivatives.SetInputData(mesh)
else:
cell_derivatives.SetInput(mesh)
cell_derivatives.Update()
farray_gu = cell_derivatives.GetOutput().GetCellData().GetArray(
"VectorGradient")
farray_defo_grad = myvtk.createFloatArray(name=defo_grad_array_name,
n_components=9,
n_tuples=n_cells)
mesh.GetCellData().AddArray(farray_defo_grad)
I = numpy.eye(3)
for k_cell in range(n_cells):
GU = numpy.reshape(farray_gu.GetTuple(k_cell), (3, 3), order=ordering)
F = I + GU
farray_defo_grad.SetTuple(k_cell, numpy.reshape(F, 9, order='C'))
def addDeformationGradients(
mesh,
disp_array_name="Displacement",
defo_grad_array_name="DeformationGradient",
verbose=0):
mypy.my_print(verbose, "*** addDeformationGradients ***")
mypy.my_print(min(verbose,1), "*** Warning: at some point the ordering of vector gradient components has changed, and uses C ordering instead of F. ***")
if (vtk.vtkVersion.GetVTKMajorVersion() >= 8):
ordering = "C"
elif (vtk.vtkVersion.GetVTKMajorVersion() == 7) and ((vtk.vtkVersion.GetVTKMinorVersion() > 0) or (vtk.vtkVersion.GetVTKBuildVersion() > 0)):
ordering = "C"
else:
ordering = "F"
n_cells = mesh.GetNumberOfCells()
assert (mesh.GetPointData().HasArray(disp_array_name))
mesh.GetPointData().SetActiveVectors(disp_array_name)
cell_derivatives = vtk.vtkCellDerivatives()
cell_derivatives.SetVectorModeToPassVectors()
cell_derivatives.SetTensorModeToComputeGradient()
if (vtk.vtkVersion.GetVTKMajorVersion() >= 6):
cell_derivatives.SetInputData(mesh)
else:
cell_derivatives.SetInput(mesh)
cell_derivatives.Update()
farray_gu = cell_derivatives.GetOutput().GetCellData().GetArray("VectorGradient")
farray_defo_grad = myvtk.createFloatArray(
name=defo_grad_array_name,
n_components=9,
n_tuples=n_cells)
mesh.GetCellData().AddArray(farray_defo_grad)
I = numpy.eye(3)
for k_cell in range(n_cells):
GU = numpy.reshape(farray_gu.GetTuple(k_cell), (3,3), order=ordering)
F = I + GU
farray_defo_grad.SetTuple(k_cell, numpy.reshape(F, 9, order='C'))
def rotateTensors(
old_tensors,
R,
storage="vec",
verbose=1):
myVTK.myPrint(verbose, "*** rotateTensors ***")
assert (storage in ["vec", "Cmat", "Fmat"]), "\"storage\" must be \"vec\", \"Cmat\" or \"Fmat\". Aborting."
n_tuples = old_tensors.GetNumberOfTuples()
n_components = old_tensors.GetNumberOfComponents()
new_tensors = myVTK.createFloatArray("tensors", n_components, n_tuples)
for k_tuple in xrange(n_tuples):
old_tensor = old_tensors.GetTuple(k_tuple)
if (storage == "vec"):
old_tensor = vec_col_to_mat_sym(old_tensor)
elif (storage == "Cmat"):
old_tensor = numpy.reshape(old_tensor, (3,3), order='C')
elif (storage == "Fmat"):
old_tensor = numpy.reshape(old_tensor, (3,3), order='F')
new_tensor = numpy.dot(R, numpy.dot(old_tensor, numpy.transpose(R)))
if (storage == "vec"):
new_tensor = mat_sym_to_vec_col(new_tensor)
elif (storage == "Cmat"):
new_tensor = numpy.reshape(new_tensor, 9, order='C')
elif (storage == "Fmat"):
new_tensor = numpy.reshape(new_tensor, 9, order='F')
new_tensors.InsertTuple(k_tuple, new_tensor)
return new_tensors
def computeSyntheticHelixTransverseSheetAngles(
farray_rr,
farray_cc,
farray_ll,
angles="+/-60",
sigma=0.,
farray_angle_helix=None,
farray_angle_trans=None,
farray_angle_sheet=None,
verbose=0):
myVTK.myPrint(verbose, "*** computeSyntheticHelixTransverseSheetAngles ***")
if (angles == "+/-60"):
angles = [[[[+60], [+60]], [[-60], [-60]]],
[[[ 0], [ 0]], [[ 0], [ 0]]],
[[[ 0], [ 0]], [[ 0], [ 0]]]]
n_l = [[0. for k_r in xrange(2)] for k_angle in xrange(3)]
d_l = [[0. for k_r in xrange(2)] for k_angle in xrange(3)]
n_c = [[0. for k_r in xrange(2)] for k_angle in xrange(3)]
d_c = [[0. for k_r in xrange(2)] for k_angle in xrange(3)]
for k_angle in xrange(3):
#print "k_angle = "+str(k_angle)
for k_r in xrange(2):
#print "k_r = "+str(k_r)
n_l[k_angle][k_r] = len(angles[k_angle][k_r])
assert (n_l[k_angle][k_r] > 1), "Must have more than 1 longitudinal dof. Aborting."
#print "n_l = "+str(n_l)
d_l[k_angle][k_r] = 1./(n_l[k_angle][k_r]-1)
#print "d_l = "+str(d_l)
n_c[k_angle][k_r] = len(angles[k_angle][k_r][0])
assert (n_c[k_angle][k_r] > 0), "Must have more than 0 circumferential dof. Aborting."
#print "n_c = "+str(n_c)
d_c[k_angle][k_r] = 1./n_c[k_angle][k_r]
#print "d_c = "+str(d_c)
n_tuples = farray_rr.GetNumberOfTuples()
if (farray_angle_helix is None):
farray_angle_helix = myVTK.createFloatArray(
"angle_helix",
1,
n_tuples)
if (farray_angle_trans is None):
farray_angle_trans = myVTK.createFloatArray(
"angle_trans",
1,
n_tuples)
if (farray_angle_sheet is None):
farray_angle_sheet = myVTK.createFloatArray(
"angle_sheet",
1,
n_tuples)
farray_angles = [farray_angle_helix,\
farray_angle_trans,\
farray_angle_sheet]
for k_tuple in xrange(n_tuples):
#print "k_tuple = "+str(k_tuple)
angles_in_degrees = numpy.empty(3)
for k_angle in xrange(3):
#print "k_angle = "+str(k_angle)
rr = farray_rr.GetTuple1(k_tuple)
cc = farray_cc.GetTuple1(k_tuple)
i_c_end = int(cc/d_c[k_angle][0]/1.000001)
i_c_epi = int(cc/d_c[k_angle][1]/1.000001)
#print "i_c_end = "+str(i_c_end)
#print "i_c_epi = "+str(i_c_epi)
zeta_end = (cc - i_c_end*d_c[k_angle][0])/d_c[k_angle][0]
zeta_epi = (cc - i_c_epi*d_c[k_angle][1])/d_c[k_angle][1]
#print "zeta_end = "+str(zeta_end)
#print "zeta_epi = "+str(zeta_epi)
ll = farray_ll.GetTuple1(k_tuple)
i_l_end = int(ll/d_l[k_angle][0]/1.000001)
i_l_epi = int(ll/d_l[k_angle][1]/1.000001)
#print "i_l_end = "+str(i_l_end)
#print "i_l_epi = "+str(i_l_epi)
eta_end = (ll - i_l_end*d_l[k_angle][0])/d_l[k_angle][0]
eta_epi = (ll - i_l_epi*d_l[k_angle][1])/d_l[k_angle][1]
#print "eta_end = "+str(eta_end)
#print "eta_epi = "+str(eta_epi)
t_ii_end = angles[k_angle][0][i_l_end ][ i_c_end %n_c[k_angle][0]]
t_ji_end = angles[k_angle][0][i_l_end ][(i_c_end+1)%n_c[k_angle][0]]
t_ij_end = angles[k_angle][0][i_l_end+1][ i_c_end %n_c[k_angle][0]]
t_jj_end = angles[k_angle][0][i_l_end+1][(i_c_end+1)%n_c[k_angle][0]]
t_ii_epi = angles[k_angle][1][i_l_epi ][ i_c_epi %n_c[k_angle][1]]
t_ji_epi = angles[k_angle][1][i_l_epi ][(i_c_epi+1)%n_c[k_angle][1]]
t_ij_epi = angles[k_angle][1][i_l_epi+1][ i_c_epi %n_c[k_angle][1]]
t_jj_epi = angles[k_angle][1][i_l_epi+1][(i_c_epi+1)%n_c[k_angle][1]]
#print "t_ii_end = "+str(t_ii_end)
#print "t_ji_end = "+str(t_ji_end)
#print "t_ij_end = "+str(t_ij_end)
#print "t_jj_end = "+str(t_jj_end)
#print "t_ii_epi = "+str(t_ii_epi)
#print "t_ji_epi = "+str(t_ji_epi)
#print "t_ij_epi = "+str(t_ij_epi)
#print "t_jj_epi = "+str(t_jj_epi)
angle_end = t_ii_end * (1 - zeta_end - eta_end + zeta_end*eta_end) \
+ t_ji_end * ( zeta_end - zeta_end*eta_end) \
+ t_ij_end * ( eta_end - zeta_end*eta_end) \
+ t_jj_end * ( zeta_end*eta_end)
angle_epi = t_ii_epi * (1 - zeta_epi - eta_epi + zeta_epi*eta_epi) \
+ t_ji_epi * ( zeta_epi - zeta_epi*eta_epi) \
+ t_ij_epi * ( eta_epi - zeta_epi*eta_epi) \
+ t_jj_epi * ( zeta_epi*eta_epi)
angles_in_degrees[k_angle] = (1.-rr) * angle_end \
+ rr * angle_epi
if (sigma > 0.):
angles_in_degrees[k_angle] += random.normalvariate(0., sigma)
angles_in_degrees[k_angle] = (angles_in_degrees[k_angle]+90)%180-90
farray_angles[k_angle].SetTuple1(
k_tuple,
angles_in_degrees[k_angle])
return (farray_angle_helix,
farray_angle_trans,
farray_angle_sheet)
def createArray(name,
n_components=1,
n_tuples=0,
array_type="float",
init_to_zero=0,
verbose=0):
assert (type(array_type)
in (type, str)), "array_type must be a type or a str. Aborting."
if (type(array_type) is type):
assert (array_type in (float, int)), "Wrong array type. Aborting."
if (array_type == float):
return myvtk.createFloatArray(name=name,
n_components=n_components,
n_tuples=n_tuples,
init_to_zero=init_to_zero,
verbose=verbose - 1)
elif (array_type == int):
return myvtk.createIntArray(name=name,
n_components=n_components,
n_tuples=n_tuples,
init_to_zero=init_to_zero,
verbose=verbose - 1)
elif (type(array_type) is str):
assert (array_type
in ("double", "float", "long", "unsigned long", "int",
"unsigned int", "short", "unsigned short", "char",
"unsigned char", "int64", "uint64", "int32", "uint32",
"int16", "uint16", "int8",
"uint8")), "Wrong array type. Aborting."
if (array_type == "float"):
return myvtk.createFloatArray(name=name,
n_components=n_components,
n_tuples=n_tuples,
init_to_zero=init_to_zero,
verbose=verbose - 1)
elif (array_type == "double"):
return myvtk.createDoubleArray(name=name,
n_components=n_components,
n_tuples=n_tuples,
init_to_zero=init_to_zero,
verbose=verbose - 1)
elif (array_type in ("long", "int64")):
return myvtk.createLongArray(name=name,
n_components=n_components,
n_tuples=n_tuples,
init_to_zero=init_to_zero,
verbose=verbose - 1)
elif (array_type in ("unsigned long", "uint64")):
return myvtk.createUnsignedLongArray(name=name,
n_components=n_components,
n_tuples=n_tuples,
init_to_zero=init_to_zero,
verbose=verbose - 1)
elif (array_type in ("int", "int32")):
return myvtk.createIntArray(name=name,
n_components=n_components,
n_tuples=n_tuples,
init_to_zero=init_to_zero,
verbose=verbose - 1)
elif (array_type in ("unsigned int", "uint32")):
return myvtk.createUnsignedIntArray(name=name,
n_components=n_components,
n_tuples=n_tuples,
init_to_zero=init_to_zero,
verbose=verbose - 1)
elif (array_type in ("short", "int16")):
return myvtk.createShortArray(name=name,
n_components=n_components,
n_tuples=n_tuples,
init_to_zero=init_to_zero,
verbose=verbose - 1)
elif (array_type in ("unsigned short", "uint16")):
return myvtk.createUnsignedShortArray(name=name,
n_components=n_components,
n_tuples=n_tuples,
init_to_zero=init_to_zero,
verbose=verbose - 1)
elif (array_type in ("char", "int8")):
return myvtk.createCharArray(name=name,
n_components=n_components,
n_tuples=n_tuples,
init_to_zero=init_to_zero,
verbose=verbose - 1)
elif (array_type in ("unsigned char", "uint8")):
return myvtk.createUnsignedCharArray(name=name,
n_components=n_components,
n_tuples=n_tuples,
init_to_zero=init_to_zero,
verbose=verbose - 1)
def computePrincipalDirections(
field,
field_storage="vec",
orient=0,
farray_eRR=None,
farray_eCC=None,
farray_eLL=None,
verbose=1):
myVTK.myPrint(verbose, "*** computePrincipalDirections ***")
assert (field_storage in ["vec", "Cmat", "Fmat"]), "\"field_storage\" must be \"vec\", \"Cmat\" or \"Fmat\". Aborting."
n_tuples = field.GetNumberOfTuples()
farray_Lmin = myVTK.createFloatArray('Lmin', 1, n_tuples)
farray_Lmid = myVTK.createFloatArray('Lmid', 1, n_tuples)
farray_Lmax = myVTK.createFloatArray('Lmax', 1, n_tuples)
farray_Vmin = myVTK.createFloatArray('Vmin', 3, n_tuples)
farray_Vmid = myVTK.createFloatArray('Vmid', 3, n_tuples)
farray_Vmax = myVTK.createFloatArray('Vmax', 3, n_tuples)
for k_tuple in xrange(n_tuples):
#print "k_tuple: " + str(k_tuple)
matrix = field.GetTuple(k_tuple)
if (field_storage == "vec"):
matrix = vec_col_to_mat_sym(matrix)
elif (field_storage == "Cmat"):
matrix = numpy.reshape(matrix, (3,3), order='C')
elif (field_storage == "Fmat"):
matrix = numpy.reshape(matrix, (3,3), order='F')
if (numpy.linalg.norm(matrix) > 1e-6):
#if (verbose): print + 'k_tuple =', k_tuple
val, vec = numpy.linalg.eig(matrix)
#if (verbose): print + 'val =', val
#if (verbose): print + 'vec =', vec
#if (verbose): print + 'det =', numpy.linalg.det(vec)
idx = val.argsort()
val = val[idx]
vec = vec[:,idx]
#if (verbose): print + 'val =', val
#if (verbose): print + 'vec =', vec
#if (verbose): print + 'det =', numpy.linalg.det(vec)
matrix_Lmin = [val[0]]
matrix_Lmid = [val[1]]
matrix_Lmax = [val[2]]
matrix_Vmax = vec[:,2]
matrix_Vmid = vec[:,1]
if (orient):
eCC = numpy.array(farray_eCC.GetTuple(k_tuple))
eLL = numpy.array(farray_eLL.GetTuple(k_tuple))
matrix_Vmax = math.copysign(1, numpy.dot(matrix_Vmax, eCC)) * matrix_Vmax
matrix_Vmid = math.copysign(1, numpy.dot(matrix_Vmid, eLL)) * matrix_Vmid
matrix_Vmin = numpy.cross(matrix_Vmax, matrix_Vmid)
else:
matrix_Lmin = [0.]
matrix_Lmid = [0.]
matrix_Lmax = [0.]
matrix_Vmin = [0.]*3
matrix_Vmid = [0.]*3
matrix_Vmax = [0.]*3
farray_Lmin.InsertTuple(k_tuple, matrix_Lmin)
farray_Lmid.InsertTuple(k_tuple, matrix_Lmid)
farray_Lmax.InsertTuple(k_tuple, matrix_Lmax)
farray_Vmin.InsertTuple(k_tuple, matrix_Vmin)
farray_Vmid.InsertTuple(k_tuple, matrix_Vmid)
farray_Vmax.InsertTuple(k_tuple, matrix_Vmax)
return (farray_Lmin,
farray_Lmid,
farray_Lmax,
farray_Vmin,
farray_Vmid,
farray_Vmax)
def computeSyntheticHelixTransverseSheetAngles(farray_rr,
farray_cc,
farray_ll,
angles="+/-60",
sigma=0.,
farray_angle_helix=None,
farray_angle_trans=None,
farray_angle_sheet=None,
verbose=0):
myVTK.myPrint(verbose,
"*** computeSyntheticHelixTransverseSheetAngles ***")
if (angles == "+/-60"):
angles = [[[[+60], [+60]], [[-60], [-60]]], [[[0], [0]], [[0], [0]]],
[[[0], [0]], [[0], [0]]]]
n_l = [[0. for k_r in xrange(2)] for k_angle in xrange(3)]
d_l = [[0. for k_r in xrange(2)] for k_angle in xrange(3)]
n_c = [[0. for k_r in xrange(2)] for k_angle in xrange(3)]
d_c = [[0. for k_r in xrange(2)] for k_angle in xrange(3)]
for k_angle in xrange(3):
#print "k_angle = "+str(k_angle)
for k_r in xrange(2):
#print "k_r = "+str(k_r)
n_l[k_angle][k_r] = len(angles[k_angle][k_r])
assert (n_l[k_angle][k_r] >
1), "Must have more than 1 longitudinal dof. Aborting."
#print "n_l = "+str(n_l)
d_l[k_angle][k_r] = 1. / (n_l[k_angle][k_r] - 1)
#print "d_l = "+str(d_l)
n_c[k_angle][k_r] = len(angles[k_angle][k_r][0])
assert (n_c[k_angle][k_r] >
0), "Must have more than 0 circumferential dof. Aborting."
#print "n_c = "+str(n_c)
d_c[k_angle][k_r] = 1. / n_c[k_angle][k_r]
#print "d_c = "+str(d_c)
n_tuples = farray_rr.GetNumberOfTuples()
if (farray_angle_helix is None):
farray_angle_helix = myVTK.createFloatArray("angle_helix", 1, n_tuples)
if (farray_angle_trans is None):
farray_angle_trans = myVTK.createFloatArray("angle_trans", 1, n_tuples)
if (farray_angle_sheet is None):
farray_angle_sheet = myVTK.createFloatArray("angle_sheet", 1, n_tuples)
farray_angles = [farray_angle_helix,\
farray_angle_trans,\
farray_angle_sheet]
for k_tuple in xrange(n_tuples):
#print "k_tuple = "+str(k_tuple)
angles_in_degrees = numpy.empty(3)
for k_angle in xrange(3):
#print "k_angle = "+str(k_angle)
rr = farray_rr.GetTuple1(k_tuple)
cc = farray_cc.GetTuple1(k_tuple)
i_c_end = int(cc / d_c[k_angle][0] / 1.000001)
i_c_epi = int(cc / d_c[k_angle][1] / 1.000001)
#print "i_c_end = "+str(i_c_end)
#print "i_c_epi = "+str(i_c_epi)
zeta_end = (cc - i_c_end * d_c[k_angle][0]) / d_c[k_angle][0]
zeta_epi = (cc - i_c_epi * d_c[k_angle][1]) / d_c[k_angle][1]
#print "zeta_end = "+str(zeta_end)
#print "zeta_epi = "+str(zeta_epi)
ll = farray_ll.GetTuple1(k_tuple)
i_l_end = int(ll / d_l[k_angle][0] / 1.000001)
i_l_epi = int(ll / d_l[k_angle][1] / 1.000001)
#print "i_l_end = "+str(i_l_end)
#print "i_l_epi = "+str(i_l_epi)
eta_end = (ll - i_l_end * d_l[k_angle][0]) / d_l[k_angle][0]
eta_epi = (ll - i_l_epi * d_l[k_angle][1]) / d_l[k_angle][1]
#print "eta_end = "+str(eta_end)
#print "eta_epi = "+str(eta_epi)
t_ii_end = angles[k_angle][0][i_l_end][i_c_end % n_c[k_angle][0]]
t_ji_end = angles[k_angle][0][i_l_end][(i_c_end + 1) %
n_c[k_angle][0]]
t_ij_end = angles[k_angle][0][i_l_end + 1][i_c_end %
n_c[k_angle][0]]
t_jj_end = angles[k_angle][0][i_l_end + 1][(i_c_end + 1) %
n_c[k_angle][0]]
t_ii_epi = angles[k_angle][1][i_l_epi][i_c_epi % n_c[k_angle][1]]
t_ji_epi = angles[k_angle][1][i_l_epi][(i_c_epi + 1) %
n_c[k_angle][1]]
t_ij_epi = angles[k_angle][1][i_l_epi + 1][i_c_epi %
n_c[k_angle][1]]
t_jj_epi = angles[k_angle][1][i_l_epi + 1][(i_c_epi + 1) %
n_c[k_angle][1]]
#print "t_ii_end = "+str(t_ii_end)
#print "t_ji_end = "+str(t_ji_end)
#print "t_ij_end = "+str(t_ij_end)
#print "t_jj_end = "+str(t_jj_end)
#print "t_ii_epi = "+str(t_ii_epi)
#print "t_ji_epi = "+str(t_ji_epi)
#print "t_ij_epi = "+str(t_ij_epi)
#print "t_jj_epi = "+str(t_jj_epi)
angle_end = t_ii_end * (1 - zeta_end - eta_end + zeta_end*eta_end) \
+ t_ji_end * ( zeta_end - zeta_end*eta_end) \
+ t_ij_end * ( eta_end - zeta_end*eta_end) \
+ t_jj_end * ( zeta_end*eta_end)
angle_epi = t_ii_epi * (1 - zeta_epi - eta_epi + zeta_epi*eta_epi) \
+ t_ji_epi * ( zeta_epi - zeta_epi*eta_epi) \
+ t_ij_epi * ( eta_epi - zeta_epi*eta_epi) \
+ t_jj_epi * ( zeta_epi*eta_epi)
angles_in_degrees[k_angle] = (1.-rr) * angle_end \
+ rr * angle_epi
if (sigma > 0.):
angles_in_degrees[k_angle] += random.normalvariate(0., sigma)
angles_in_degrees[k_angle] = (angles_in_degrees[k_angle] +
90) % 180 - 90
farray_angles[k_angle].SetTuple1(k_tuple,
angles_in_degrees[k_angle])
return (farray_angle_helix, farray_angle_trans, farray_angle_sheet)
def generateImages(
images,
structure,
texture,
noise,
deformation,
evolution,
generate_image_gradient=False,
verbose=0):
myVTK.myPrint(verbose, "*** generateImages ***")
vtk_image = vtk.vtkImageData()
if (images["n_dim"] == 1):
vtk_image.SetExtent([0, images["n_voxels"][0]-1, 0, 0, 0, 0])
elif (images["n_dim"] == 2):
vtk_image.SetExtent([0, images["n_voxels"][0]-1, 0, images["n_voxels"][1]-1, 0, 0])
elif (images["n_dim"] == 3):
vtk_image.SetExtent([0, images["n_voxels"][0]-1, 0, images["n_voxels"][1]-1, 0, images["n_voxels"][2]-1])
else:
assert (0), "n_dim must be \"1\", \"2\" or \"3\". Aborting."
spacing = numpy.array(images["L"])/numpy.array(images["n_voxels"])
if (images["n_dim"] == 1):
spacing = numpy.array([images["L"][0]/images["n_voxels"][0], 1., 1.])
elif (images["n_dim"] == 2):
spacing = numpy.array([images["L"][0]/images["n_voxels"][0], images["L"][1]/images["n_voxels"][1], 1.])
elif (images["n_dim"] == 2):
spacing = numpy.array([images["L"][0]/images["n_voxels"][0], images["L"][1]/images["n_voxels"][1], images["L"][2]/images["n_voxels"][2]])
vtk_image.SetSpacing(spacing)
origin = numpy.array(vtk_image.GetSpacing())/2
if (images["n_dim"] == 1):
origin[1] = 0.
origin[2] = 0.
elif (images["n_dim"] == 2):
origin[2] = 0.
vtk_image.SetOrigin(origin)
n_points = vtk_image.GetNumberOfPoints()
vtk_image_scalars = myVTK.createFloatArray(
name="ImageScalars",
n_components=1,
n_tuples=n_points,
verbose=verbose-1)
vtk_image.GetPointData().SetScalars(vtk_image_scalars)
if (generate_image_gradient):
vtk_image_gradient = myVTK.createFloatArray(
name="ImageScalarsGradient",
n_components=images["n_dim"],
n_tuples=n_points,
verbose=verbose-1)
vtk_image.GetPointData().SetVectors(vtk_image_gradient)
if not os.path.exists(images["folder"]):
os.mkdir(images["folder"])
x0 = numpy.empty(3)
x = numpy.empty(3)
X = numpy.empty(3)
if (generate_image_gradient):
F = numpy.empty((3,3))
Finv = numpy.empty((3,3))
else:
F = None
Finv = None
dx = spacing[0:images["n_dim"]]/images["n_integration"][0:images["n_dim"]]
global_min = float("+Inf")
global_max = float("-Inf")
I = numpy.empty(1)
i = numpy.empty(1)
if (generate_image_gradient):
G = numpy.empty(images["n_dim"])
g = numpy.empty(images["n_dim"])
else:
G = None
g = None
image = Image(images, structure, texture, noise)
mapping = Mapping(images, structure, deformation, evolution)
if ("zfill" not in images.keys()):
images["zfill"] = len(str(images["n_frames"]))
for k_frame in xrange(images["n_frames"]):
t = images["T"]*float(k_frame)/(images["n_frames"]-1) if (images["n_frames"]>1) else 0.
print "t = "+str(t)
mapping.init_t(t)
for k_point in xrange(n_points):
vtk_image.GetPoint(k_point, x0)
#print "x0 = "+str(x0)
x[:] = x0[:]
#print "x = "+str(x)
I[0] = 0.
#print "I = "+str(I)
#if (generate_image_gradient): G[:] = 0.
#print "G = "+str(G)
if (images["n_dim"] == 1):
for k_x in xrange(images["n_integration"][0]):
x[0] = x0[0] - dx[0]/2 + (k_x+1./2)*dx[0]/images["n_integration"][0]
mapping.X(x, X, Finv)
image.I0(X, i, g)
I += i
#if (generate_image_gradient): G += numpy.dot(g, Finv)
I /= images["n_integration"][0]
#if (generate_image_gradient): G /= images["n_integration"][0]
elif (images["n_dim"] == 2):
for k_y in xrange(images["n_integration"][1]):
x[1] = x0[1] - dx[1]/2 + (k_y+1./2)*dx[1]/images["n_integration"][1]
for k_x in xrange(images["n_integration"][0]):
x[0] = x0[0] - dx[0]/2 + (k_x+1./2)*dx[0]/images["n_integration"][0]
#print "x = "+str(x)
mapping.X(x, X, Finv)
#print "X = "+str(X)
#print "Finv = "+str(Finv)
image.I0(X, i, g)
#print "i = "+str(i)
#print "g = "+str(g)
I += i
#if (generate_image_gradient): G += numpy.dot(g, Finv)
I /= images["n_integration"][1]*images["n_integration"][0]
#if (generate_image_gradient):G /= images["n_integration"][1]*images["n_integration"][0]
elif (images["n_dim"] == 3):
for k_z in xrange(images["n_integration"][2]):
x[2] = x0[2] - dx[2]/2 + (k_z+1./2)*dx[2]/images["n_integration"][2]
for k_y in xrange(images["n_integration"][1]):
x[1] = x0[1] - dx[1]/2 + (k_y+1./2)*dx[1]/images["n_integration"][1]
for k_x in xrange(images["n_integration"][0]):
x[0] = x0[0] - dx[0]/2 + (k_x+1./2)*dx[0]/images["n_integration"][0]
mapping.X(x, X, Finv)
image.I0(X, i, g)
I += i
#if (generate_image_gradient): G += numpy.dot(g, Finv)
I /= images["n_integration"][2]*images["n_integration"][1]*images["n_integration"][0]
#if (generate_image_gradient): G /= images["n_integration"][2]*images["n_integration"][1]*images["n_integration"][0]
else:
assert (0), "n_dim must be \"1\", \"2\" or \"3\". Aborting."
vtk_image_scalars.SetTuple(k_point, I)
#if (generate_image_gradient): vtk_image_gradient.SetTuple(k_point, G)
if (I[0] < global_min): global_min = I[0]
if (I[0] > global_max): global_max = I[0]
myVTK.writeImage(
image=vtk_image,
filename=images["folder"]+"/"+images["basename"]+"_"+str(k_frame).zfill(images["zfill"])+".vti",
verbose=verbose-1)
if (images["data_type"] in ("float")):
pass
elif (images["data_type"] in ("unsigned char", "unsigned short", "unsigned int", "unsigned long", "unsigned float", "uint8", "uint16", "uint32", "uint64", "ufloat")):
#print "global_min = "+str(global_min)
#print "global_max = "+str(global_max)
shifter = vtk.vtkImageShiftScale()
shifter.SetShift(-global_min)
if (images["data_type"] in ("unsigned char", "uint8")):
shifter.SetScale(float(2**8-1)/(global_max-global_min))
shifter.SetOutputScalarTypeToUnsignedChar()
elif (images["data_type"] in ("unsigned short", "uint16")):
shifter.SetScale(float(2**16-1)/(global_max-global_min))
shifter.SetOutputScalarTypeToUnsignedShort()
elif (images["data_type"] in ("unsigned int", "uint32")):
shifter.SetScale(float(2**32-1)/(global_max-global_min))
shifter.SetOutputScalarTypeToUnsignedInt()
elif (images["data_type"] in ("unsigned long", "uint64")):
shifter.SetScale(float(2**64-1)/(global_max-global_min))
shifter.SetOutputScalarTypeToUnsignedLong()
elif (images["data_type"] in ("unsigned float", "ufloat")):
shifter.SetScale(1./(global_max-global_min))
shifter.SetOutputScalarTypeToFloat()
for k_frame in xrange(images["n_frames"]):
vtk_image = myVTK.readImage(
filename=images["folder"]+"/"+images["basename"]+"_"+str(k_frame).zfill(images["zfill"])+".vti",
verbose=verbose-1)
if (vtk.vtkVersion.GetVTKMajorVersion() >= 6):
shifter.SetInputData(vtk_image)
else:
shifter.SetInput(vtk_image)
shifter.Update()
vtk_image = shifter.GetOutput()
myVTK.writeImage(
image=vtk_image,
filename=images["folder"]+"/"+images["basename"]+"_"+str(k_frame).zfill(images["zfill"])+".vti",
verbose=verbose-1)
else:
assert (0), "Wrong data type. Aborting."
def computeStrainsFromDisplacements(mesh,
disp_array_name="displacement",
ref_mesh=None,
verbose=0):
myVTK.myPrint(verbose, "*** computeStrainsFromDisplacements ***")
myVTK.myPrint(
min(verbose, 1),
"*** Warning: at some point the ordering of vector gradient components has changed, and uses C ordering instead of F. ***"
)
if (vtk.vtkVersion.GetVTKMajorVersion() >= 8):
ordering = "C"
elif (vtk.vtkVersion.GetVTKMajorVersion()
== 7) and ((vtk.vtkVersion.GetVTKMinorVersion() > 0) or
(vtk.vtkVersion.GetVTKBuildVersion() > 0)):
ordering = "C"
else:
ordering = "F"
n_points = mesh.GetNumberOfPoints()
n_cells = mesh.GetNumberOfCells()
assert (mesh.GetPointData().HasArray(disp_array_name))
mesh.GetPointData().SetActiveVectors(disp_array_name)
cell_derivatives = vtk.vtkCellDerivatives()
cell_derivatives.SetVectorModeToPassVectors()
cell_derivatives.SetTensorModeToComputeGradient()
if (vtk.vtkVersion.GetVTKMajorVersion() >= 6):
cell_derivatives.SetInputData(mesh)
else:
cell_derivatives.SetInput(mesh)
cell_derivatives.Update()
farray_gu = cell_derivatives.GetOutput().GetCellData().GetArray(
"VectorGradient")
if (ref_mesh is not None):
farray_strain = myVTK.createFloatArray(name="Strain_CAR",
n_components=6,
n_tuples=n_cells)
else:
farray_strain = myVTK.createFloatArray(name="Strain",
n_components=6,
n_tuples=n_cells)
mesh.GetCellData().AddArray(farray_strain)
I = numpy.eye(3)
E_vec = numpy.empty(6)
#e_vec = numpy.empty(6)
for k_cell in range(n_cells):
GU = numpy.reshape(farray_gu.GetTuple(k_cell), (3, 3), ordering)
F = I + GU
C = numpy.dot(numpy.transpose(F), F)
E = (C - I) / 2
mat_sym33_to_vec_col6(E, E_vec)
farray_strain.SetTuple(k_cell, E_vec)
#if (add_almansi_strain):
#Finv = numpy.linalg.inv(F)
#c = numpy.dot(numpy.transpose(Finv), Finv)
#e = (I - c)/2
#mat_sym33_to_vec_col6(e, e_vec)
#farray_almansi.SetTuple(k_cell, e_vec)
if (ref_mesh is not None) and (ref_mesh.GetCellData().HasArray("eR")) and (
ref_mesh.GetCellData().HasArray("eC")) and (
ref_mesh.GetCellData().HasArray("eL")):
farray_strain_cyl = myVTK.rotateMatrix(
old_array=mesh.GetCellData().GetArray("Strain_CAR"),
out_vecs=[
ref_mesh.GetCellData().GetArray("eR"),
ref_mesh.GetCellData().GetArray("eC"),
ref_mesh.GetCellData().GetArray("eL")
],
verbose=0)
farray_strain_cyl.SetName("Strain_CYL")
mesh.GetCellData().AddArray(farray_strain_cyl)
if (ref_mesh
is not None) and (ref_mesh.GetCellData().HasArray("eRR")) and (
ref_mesh.GetCellData().HasArray("eCC")) and (
ref_mesh.GetCellData().HasArray("eLL")):
farray_strain_pps = myVTK.rotateMatrix(
old_array=mesh.GetCellData().GetArray("Strain_CAR"),
out_vecs=[
ref_mesh.GetCellData().GetArray("eRR"),
ref_mesh.GetCellData().GetArray("eCC"),
ref_mesh.GetCellData().GetArray("eLL")
],
verbose=0)
farray_strain_pps.SetName("Strain_PPS")
mesh.GetCellData().AddArray(farray_strain_pps)
def computePseudoProlateSpheroidalCoordinatesAndBasisForLV(
points,
farray_c,
farray_l,
farray_eL,
pdata_end,
pdata_epi,
iarray_part_id=None,
verbose=0):
myVTK.myPrint(
verbose,
"*** computePseudoProlateSpheroidalCoordinatesAndBasisForLV ***")
myVTK.myPrint(verbose - 1, "Computing surface cell normals...")
pdata_end = myVTK.addPDataNormals(pdata=pdata_end, verbose=verbose - 1)
pdata_epi = myVTK.addPDataNormals(pdata=pdata_epi, verbose=verbose - 1)
myVTK.myPrint(verbose - 1, "Initializing surface cell locators...")
(cell_locator_end, closest_point_end, generic_cell, cellId_end, subId,
dist_end) = myVTK.getCellLocator(mesh=pdata_end, verbose=verbose - 1)
(cell_locator_epi, closest_point_epi, generic_cell, cellId_epi, subId,
dist_epi) = myVTK.getCellLocator(mesh=pdata_epi, verbose=verbose - 1)
myVTK.myPrint(verbose - 1,
"Computing local prolate spheroidal directions...")
n_points = points.GetNumberOfPoints()
farray_rr = myVTK.createFloatArray("rr", 1, n_points)
farray_cc = myVTK.createFloatArray("cc", 1, n_points)
farray_ll = myVTK.createFloatArray("ll", 1, n_points)
farray_eRR = myVTK.createFloatArray("eRR", 3, n_points)
farray_eCC = myVTK.createFloatArray("eCC", 3, n_points)
farray_eLL = myVTK.createFloatArray("eLL", 3, n_points)
if (n_points == 0):
return (farray_rr, farray_cc, farray_ll, farray_eRR, farray_eCC,
farray_eLL)
c_lst = [farray_c.GetTuple1(k_point) for k_point in xrange(n_points)]
c_min = min(c_lst)
c_max = max(c_lst)
l_lst = [farray_l.GetTuple1(k_point) for k_point in xrange(n_points)]
l_min = min(l_lst)
l_max = max(l_lst)
pdata_end_normals = pdata_end.GetCellData().GetNormals()
pdata_epi_normals = pdata_epi.GetCellData().GetNormals()
pdata_end_normal = numpy.empty(3)
pdata_epi_normal = numpy.empty(3)
eL = numpy.empty(3)
point = numpy.empty(3)
for k_point in xrange(n_points):
if (iarray_part_id
is not None) and (int(iarray_part_id.GetTuple1(k_point)) > 0):
rr = 0.
cc = 0.
ll = 0.
eRR = numpy.array([1., 0., 0.])
eCC = numpy.array([0., 1., 0.])
eLL = numpy.array([0., 0., 1.])
else:
points.GetPoint(k_point, point)
cell_locator_end.FindClosestPoint(point, closest_point_end,
generic_cell, cellId_end, subId,
dist_end)
cell_locator_epi.FindClosestPoint(point, closest_point_epi,
generic_cell, cellId_epi, subId,
dist_epi)
rr = dist_end / (dist_end + dist_epi)
c = farray_c.GetTuple1(k_point)
cc = (c - c_min) / (c_max - c_min)
l = farray_l.GetTuple1(k_point)
ll = (l - l_min) / (l_max - l_min)
pdata_end_normals.GetTuple(cellId_end, pdata_end_normal)
pdata_epi_normals.GetTuple(cellId_epi, pdata_epi_normal)
eRR = (1. - rr) * pdata_end_normal + rr * pdata_epi_normal
eRR /= numpy.linalg.norm(eRR)
farray_eL.GetTuple(k_point, eL)
eCC = numpy.cross(eL, eRR)
eCC /= numpy.linalg.norm(eCC)
eLL = numpy.cross(eRR, eCC)
farray_rr.SetTuple1(k_point, rr)
farray_cc.SetTuple1(k_point, cc)
farray_ll.SetTuple1(k_point, ll)
farray_eRR.SetTuple(k_point, eRR)
farray_eCC.SetTuple(k_point, eCC)
farray_eLL.SetTuple(k_point, eLL)
return (farray_rr, farray_cc, farray_ll, farray_eRR, farray_eCC,
farray_eLL)
def computePseudoProlateSpheroidalCoordinatesAndBasisForBiV(
points,
iarray_regions,
farray_c,
farray_l,
farray_eL,
pdata_endLV,
pdata_endRV,
pdata_epi,
iarray_part_id=None,
verbose=0):
myVTK.myPrint(
verbose,
"*** computePseudoProlateSpheroidalCoordinatesAndBasisForBiV ***")
myVTK.myPrint(verbose - 1, "Computing surface cell normals...")
pdata_endLV = myVTK.addPDataNormals(pdata=pdata_endLV, verbose=verbose - 1)
pdata_endRV = myVTK.addPDataNormals(pdata=pdata_endRV, verbose=verbose - 1)
pdata_epi = myVTK.addPDataNormals(pdata=pdata_epi, verbose=verbose - 1)
myVTK.myPrint(verbose - 1, "Initializing surface cell locators...")
(cell_locator_endLV, closest_point_endLV, generic_cell, cellId_endLV,
subId, dist_endLV) = myVTK.getCellLocator(mesh=pdata_endLV,
verbose=verbose - 1)
(cell_locator_endRV, closest_point_endRV, generic_cell, cellId_endRV,
subId, dist_endRV) = myVTK.getCellLocator(mesh=pdata_endRV,
verbose=verbose - 1)
(cell_locator_epi, closest_point_epi, generic_cell, cellId_epi, subId,
dist_epi) = myVTK.getCellLocator(mesh=pdata_epi, verbose=verbose - 1)
myVTK.myPrint(verbose - 1,
"Computing local prolate spheroidal directions...")
n_points = points.GetNumberOfPoints()
farray_rr = myVTK.createFloatArray("rr", 1, n_points)
farray_cc = myVTK.createFloatArray("cc", 1, n_points)
farray_ll = myVTK.createFloatArray("ll", 1, n_points)
farray_eRR = myVTK.createFloatArray("eRR", 3, n_points)
farray_eCC = myVTK.createFloatArray("eCC", 3, n_points)
farray_eLL = myVTK.createFloatArray("eLL", 3, n_points)
c_lst_FWLV = numpy.array([
farray_c.GetTuple1(k_point) for k_point in xrange(n_points)
if (iarray_regions.GetTuple1(k_point) == 0)
])
(c_avg_FWLV,
c_std_FWLV) = myVTK.computeMeanStddevAngles(angles=c_lst_FWLV,
angles_in_degrees=False,
angles_in_pm_pi=False)
myVTK.myPrint(verbose - 1, "c_avg_FWLV = " + str(c_avg_FWLV))
c_lst_FWLV = (((c_lst_FWLV - c_avg_FWLV + math.pi) % (2 * math.pi)) -
math.pi + c_avg_FWLV)
c_min_FWLV = min(c_lst_FWLV)
c_max_FWLV = max(c_lst_FWLV)
myVTK.myPrint(verbose - 1, "c_min_FWLV = " + str(c_min_FWLV))
myVTK.myPrint(verbose - 1, "c_max_FWLV = " + str(c_max_FWLV))
c_lst_S = numpy.array([
farray_c.GetTuple1(k_point) for k_point in xrange(n_points)
if (iarray_regions.GetTuple1(k_point) == 1)
])
(c_avg_S, c_std_S) = myVTK.computeMeanStddevAngles(angles=c_lst_S,
angles_in_degrees=False,
angles_in_pm_pi=False)
myVTK.myPrint(verbose - 1, "c_avg_S = " + str(c_avg_S))
c_lst_S = (((c_lst_S - c_avg_S + math.pi) % (2 * math.pi)) - math.pi +
c_avg_S)
c_min_S = min(c_lst_S)
c_max_S = max(c_lst_S)
myVTK.myPrint(verbose - 1, "c_min_S = " + str(c_min_S))
myVTK.myPrint(verbose - 1, "c_max_S = " + str(c_max_S))
c_lst_FWRV = numpy.array([
farray_c.GetTuple1(k_point) for k_point in xrange(n_points)
if (iarray_regions.GetTuple1(k_point) == 2)
])
(c_avg_FWRV,
c_std_FWRV) = myVTK.computeMeanStddevAngles(angles=c_lst_FWRV,
angles_in_degrees=False,
angles_in_pm_pi=False)
myVTK.myPrint(verbose - 1, "c_avg_FWRV = " + str(c_avg_FWRV))
c_lst_FWRV = (((c_lst_FWRV - c_avg_FWRV + math.pi) % (2 * math.pi)) -
math.pi + c_avg_FWRV)
c_min_FWRV = min(c_lst_FWRV)
c_max_FWRV = max(c_lst_FWRV)
myVTK.myPrint(verbose - 1, "c_min_FWRV = " + str(c_min_FWRV))
myVTK.myPrint(verbose - 1, "c_max_FWRV = " + str(c_max_FWRV))
l_lst = [farray_l.GetTuple1(k_point) for k_point in xrange(n_points)]
l_min = min(l_lst)
l_max = max(l_lst)
point = numpy.empty(3)
for k_point in xrange(n_points):
if (iarray_part_id
is not None) and (int(iarray_part_id.GetTuple1(k_point)) > 0):
rr = 0.
cc = 0.
ll = 0.
eRR = [1., 0., 0.]
eCC = [0., 1., 0.]
eLL = [0., 0., 1.]
else:
points.GetPoint(k_point, point)
region_id = iarray_regions.GetTuple1(k_point)
if (region_id == 0):
cell_locator_endLV.FindClosestPoint(point, closest_point_endLV,
generic_cell, cellId_endLV,
subId, dist_endLV)
cell_locator_epi.FindClosestPoint(point, closest_point_epi,
generic_cell, cellId_epi,
subId, dist_epi)
rr = dist_endLV / (dist_endLV + dist_epi)
c = farray_c.GetTuple1(k_point)
c = (((c - c_avg_FWLV + math.pi) % (2 * math.pi)) - math.pi +
c_avg_FWLV)
cc = (c - c_min_FWLV) / (c_max_FWLV - c_min_FWLV)
l = farray_l.GetTuple1(k_point)
ll = (l - l_min) / (l_max - l_min)
normal_endLV = numpy.reshape(
pdata_endLV.GetCellData().GetNormals().GetTuple(
cellId_endLV), (3))
normal_epi = numpy.reshape(
pdata_epi.GetCellData().GetNormals().GetTuple(cellId_epi),
(3))
eRR = (1. - rr) * normal_endLV + rr * normal_epi
eRR /= numpy.linalg.norm(eRR)
eL = numpy.reshape(farray_eL.GetTuple(k_point), (3))
eCC = numpy.cross(eL, eRR)
eCC /= numpy.linalg.norm(eCC)
eLL = numpy.cross(eRR, eCC)
elif (region_id == 1):
cell_locator_endLV.FindClosestPoint(point, closest_point_endLV,
generic_cell, cellId_endLV,
subId, dist_endLV)
cell_locator_endRV.FindClosestPoint(point, closest_point_endRV,
generic_cell, cellId_endRV,
subId, dist_endRV)
rr = dist_endLV / (dist_endLV + dist_endRV)
c = farray_c.GetTuple1(k_point)
c = (((c - c_avg_S + math.pi) % (2 * math.pi)) - math.pi +
c_avg_S)
cc = (c - c_min_S) / (c_max_S - c_min_S)
l = farray_l.GetTuple1(k_point)
ll = (l - l_min) / (l_max - l_min)
normal_endLV = numpy.reshape(
pdata_endLV.GetCellData().GetNormals().GetTuple(
cellId_endLV), (3))
normal_endRV = numpy.reshape(
pdata_endRV.GetCellData().GetNormals().GetTuple(
cellId_endRV), (3))
eRR = (1. - rr) * normal_endLV - rr * normal_endRV
eRR /= numpy.linalg.norm(eRR)
eL = numpy.reshape(farray_eL.GetTuple(k_point), (3))
eCC = numpy.cross(eL, eRR)
eCC /= numpy.linalg.norm(eCC)
eLL = numpy.cross(eRR, eCC)
if (region_id == 2):
cell_locator_endRV.FindClosestPoint(point, closest_point_endRV,
generic_cell, cellId_endRV,
subId, dist_endRV)
cell_locator_epi.FindClosestPoint(point, closest_point_epi,
generic_cell, cellId_epi,
subId, dist_epi)
rr = dist_endRV / (dist_endRV + dist_epi)
c = farray_c.GetTuple1(k_point)
c = (((c - c_avg_FWRV + math.pi) % (2 * math.pi)) - math.pi +
c_avg_FWRV)
cc = (c - c_min_FWRV) / (c_max_FWRV - c_min_FWRV)
l = farray_l.GetTuple1(k_point)
ll = (l - l_min) / (l_max - l_min)
normal_endRV = numpy.reshape(
pdata_endRV.GetCellData().GetNormals().GetTuple(
cellId_endRV), (3))
normal_epi = numpy.reshape(
pdata_epi.GetCellData().GetNormals().GetTuple(cellId_epi),
(3))
eRR = (1. - rr) * normal_endRV + rr * normal_epi
eRR /= numpy.linalg.norm(eRR)
eL = numpy.reshape(farray_eL.GetTuple(k_point), (3))
eCC = numpy.cross(eL, eRR)
eCC /= numpy.linalg.norm(eCC)
eLL = numpy.cross(eRR, eCC)
farray_rr.SetTuple1(k_point, rr)
farray_cc.SetTuple1(k_point, cc)
farray_ll.SetTuple1(k_point, ll)
farray_eRR.SetTuple(k_point, eRR)
farray_eCC.SetTuple(k_point, eCC)
farray_eLL.SetTuple(k_point, eLL)
return (farray_rr, farray_cc, farray_ll, farray_eRR, farray_eCC,
farray_eLL)
def computeFiberSheetNormalDirections(
farray_eRR,
farray_eCC,
farray_eLL,
farray_helix,
farray_trans,
farray_sheet,
angles_in_degrees=True,
use_new_definition=False,
shuffle_vectors=False,
verbose=True):
myVTK.myPrint(verbose, "*** computeFiberSheetNormalDirections ***")
n_tuples = farray_helix.GetNumberOfTuples()
farray_eF = myVTK.createFloatArray("eF", 3, n_tuples)
farray_eS = myVTK.createFloatArray("eS", 3, n_tuples)
farray_eN = myVTK.createFloatArray("eN", 3, n_tuples)
eRR = numpy.empty(3)
eCC = numpy.empty(3)
eLL = numpy.empty(3)
for k_tuple in xrange(n_tuples):
farray_eRR.GetTuple(k_tuple, eRR)
farray_eCC.GetTuple(k_tuple, eCC)
farray_eLL.GetTuple(k_tuple, eLL)
if (use_new_definition):
base = numpy.array([eCC,\
eLL,\
eRR])
helix = farray_helix.GetTuple1(k_tuple)
if (angles_in_degrees): helix *= math.pi/180
C = math.cos(helix)
S = math.sin(helix)
R_helix = numpy.array([[ C, S, 0],\
[-S, C, 0],\
[ 0, 0, 1]])
base = numpy.dot(R_helix, base)
trans = farray_trans.GetTuple1(k_tuple)
if (angles_in_degrees): trans *= math.pi/180
C = math.cos(trans)
S = math.sin(trans)
R_trans = numpy.array([[ C, 0,-S],\
[ 0, 1, 0],\
[ S, 0, C]])
base = numpy.dot(R_trans, base)
sheet = farray_sheet.GetTuple1(k_tuple)
if (angles_in_degrees): sheet *= math.pi/180
C = math.cos(sheet)
S = math.sin(sheet)
R_sheet = numpy.array([[1, 0, 0],\
[0, C, S],\
[0, -S, C]])
base = numpy.dot(R_sheet, base)
else:
base = numpy.array([+eCC,\
+eRR,\
-eLL])
helix = farray_helix.GetTuple1(k_tuple)
if (angles_in_degrees): helix *= math.pi/180
C = math.cos(helix)
S = math.sin(helix)
R_helix = numpy.array([[ C, 0,-S],\
[ 0, 1, 0],\
[ S, 0, C]])
base = numpy.dot(R_helix, base)
trans = farray_trans.GetTuple1(k_tuple)
if (angles_in_degrees): trans *= math.pi/180
C = math.cos(trans)
S = math.sin(trans)
R_trans = numpy.array([[ C, S, 0],\
[-S, C, 0],\
[ 0, 0, 1]])
base = numpy.dot(R_trans, base)
sheet = farray_sheet.GetTuple1(k_tuple)
if (angles_in_degrees): sheet *= math.pi/180
C = math.cos(sheet)
S = math.sin(sheet)
R_sheet = numpy.array([[1, 0, 0],\
[0, C, S],\
[0, -S, C]])
base = numpy.dot(R_sheet, base)
eF = base[0]
eS = base[1]
eN = base[2]
if (shuffle_vectors):
eF *= random.choice([-1,+1])
eS *= random.choice([-1,+1])
eN = numpy.cross(eF, eS)
farray_eF.SetTuple(k_tuple, eF)
farray_eS.SetTuple(k_tuple, eS)
farray_eN.SetTuple(k_tuple, eN)
return (farray_eF,
farray_eS,
farray_eN)
def readMatLabImage(
filename,
field_name,
field_type,
spacing=[1.,1.,1.],
verbose=0):
mypy.my_print(verbose, "*** readMatLabImage ***")
assert (os.path.isfile(filename)), "Wrong filename (\""+filename+"\"). Aborting."
import scipy
data = scipy.io.loadmat(filename)[field_name]
n_pixels_x = len(data)
n_pixels_y = len(data[0])
n_pixels_z = len(data[0][0])
n_pixels = n_pixels_x * n_pixels_y * n_pixels_z
#points = vtk.vtkPoints()
#points.SetNumberOfPoints(n_pixels)
#cell_array = vtk.vtkCellArray()
#cell = vtk.vtkVertex()
if (field_type == "int"):
array_data = myvtk.createIntArray(
name=field_name,
n_components=1,
n_tuples=n_pixels)
elif (field_type == "double"):
array_data = myvtk.createFloatArray(
name=field_name,
n_components=1,
n_tuples=n_pixels)
k_pixel = 0
for k_z in range(n_pixels_z):
for k_y in range(n_pixels_y):
for k_x in range(n_pixels_x):
#points.InsertPoint(k_pixel, [(k_x+0.5)/n_pixels_x,\
#(k_y+0.5)/n_pixels_y,\
#(k_z+0.5)/n_pixels_z])
#cell.GetPointIds().SetId(0, k_pixel)
#cell_array.InsertNextCell(cell)
#array_data.SetTuple1(k_pixel, data[n_pixels_y-1-k_y][n_pixels_x-1-k_x][k_z])
#array_data.SetTuple1(k_pixel, data[n_pixels_y-1-k_y][k_x][k_z])
#array_data.SetTuple1(k_pixel, data[k_y][n_pixels_x-1-k_x][k_z])
array_data.SetTuple1(k_pixel, data[k_y][k_x][k_z])
#array_data.SetTuple1(k_pixel, data[n_pixels_x-1-k_x][n_pixels_y-1-k_y][k_z])
#array_data.SetTuple1(k_pixel, data[n_pixels_x-1-k_x][k_y][k_z])
#array_data.SetTuple1(k_pixel, data[k_x][n_pixels_y-1-k_y][k_z])
#array_data.SetTuple1(k_pixel, data[k_x][k_y][k_z])
k_pixel += 1
#ugrid = vtk.vtkUnstructuredGrid()
#ugrid.SetPoints(points)
#ugrid.SetCells(vtk.VTK_VERTEX, cell_array)
#ugrid.GetCellData().AddArray(array_data)
#writeXMLUGrid(ugrid, case+".vtu")
image = vtk.vtkImageData()
image.SetExtent(0, n_pixels_x-1, 0, n_pixels_y-1, 0, n_pixels_z-1)
image.SetSpacing(spacing)
image.GetPointData().AddArray(array_data)
return image
def computeSyntheticHelixAngles2(farray_rr,
farray_cc,
farray_ll,
angles_end=[[+60.], [+60.]],
angles_epi=[[-60.], [-60.]],
sigma=0.,
farray_angle_helix=None,
verbose=0):
myVTK.myPrint(verbose, "*** computeSyntheticHelixAngles2 ***")
n_l = len(angles_end)
assert (n_l > 1),\
"n_l must be greater than 1. Aborting."
assert (len(angles_epi) == n_l),\
"angles_end and angle_epi must have same length (n_l). Aborting."
d_l = 1. / (n_l - 1)
n_c = len(angles_end[0])
assert (n_c > 0),\
"n_c must be greater than 0. Aborting."
for angles in angles_end + angles_epi:
assert (len(angles) == n_c),\
"angles lists must have same length (n_c). Aborting."
d_c = 1. / n_c
n_tuples = farray_rr.GetNumberOfTuples()
assert (farray_cc.GetNumberOfTuples() == n_tuples)
assert (farray_ll.GetNumberOfTuples() == n_tuples)
if (farray_angle_helix is None):
farray_angle_helix = myVTK.createFloatArray(name="angle_helix",
n_components=1,
n_tuples=n_tuples)
else:
assert (farray_angle_helix.GetNumberOfTuples() == n_tuples)
for k_tuple in xrange(n_tuples):
#print "k_tuple = "+str(k_tuple)
cc = farray_cc.GetTuple1(k_tuple)
i_c = int(cc / d_c / 1.000001)
#print "i_c = "+str(i_c)
zeta = (t - i_c * d_c) / d_c
#print "zeta = "+str(zeta)
ll = farray_ll.GetTuple1(k_tuple)
i_l = int(ll / d_l / 1.000001)
#print "i_l = "+str(i_l)
eta = (ll - i_l * d_l) / d_l
#print "eta = "+str(eta)
t_ii_end = angles_end[i_l][i_c % n_c]
t_ji_end = angles_end[i_l][(i_c + 1) % n_c]
t_ij_end = angles_end[i_l + 1][i_c % n_c]
t_jj_end = angles_end[i_l + 1][(i_c + 1) % n_c]
t_ii_epi = angles_epi[i_l][i_c % n_c]
t_ji_epi = angles_epi[i_l][(i_c + 1) % n_c]
t_ij_epi = angles_epi[i_l + 1][i_c % n_c]
t_jj_epi = angles_epi[i_l + 1][(i_c + 1) % n_c]
#print "t_ii_end = "+str(t_ii_end)
#print "t_ji_end = "+str(t_ji_end)
#print "t_ij_end = "+str(t_ij_end)
#print "t_jj_end = "+str(t_jj_end)
#print "t_ii_epi = "+str(t_ii_epi)
#print "t_ji_epi = "+str(t_ji_epi)
#print "t_ij_epi = "+str(t_ij_epi)
#print "t_jj_epi = "+str(t_jj_epi)
helix_angle_end = t_ii_end * (1 - zeta - eta + zeta*eta) \
+ t_ji_end * (zeta - zeta*eta) \
+ t_ij_end * (eta - zeta*eta) \
+ t_jj_end * (zeta*eta)
helix_angle_epi = t_ii_epi * (1 - zeta - eta + zeta*eta) \
+ t_ji_epi * (zeta - zeta*eta) \
+ t_ij_epi * (eta - zeta*eta) \
+ t_jj_epi * (zeta*eta)
rr = farray_rr.GetTuple1(k_tuple)
helix_angle_in_degrees = (1.-rr) * helix_angle_end \
+ rr * helix_angle_epi
if (sigma > 0.):
helix_angle_in_degrees += random.normalvariate(0., sigma)
helix_angle_in_degrees = (helix_angle_in_degrees +
90.) % 180. - 90.
farray_angle_helix.SetTuple1(k_tuple, helix_angle_in_degrees)
return farray_angle_helix
def computeFiberSheetNormalDirections(farray_eRR,
farray_eCC,
farray_eLL,
farray_helix,
farray_trans,
farray_sheet,
angles_in_degrees=True,
use_new_definition=False,
shuffle_vectors=False,
verbose=True):
myVTK.myPrint(verbose, "*** computeFiberSheetNormalDirections ***")
n_tuples = farray_helix.GetNumberOfTuples()
farray_eF = myVTK.createFloatArray("eF", 3, n_tuples)
farray_eS = myVTK.createFloatArray("eS", 3, n_tuples)
farray_eN = myVTK.createFloatArray("eN", 3, n_tuples)
eRR = numpy.empty(3)
eCC = numpy.empty(3)
eLL = numpy.empty(3)
for k_tuple in xrange(n_tuples):
farray_eRR.GetTuple(k_tuple, eRR)
farray_eCC.GetTuple(k_tuple, eCC)
farray_eLL.GetTuple(k_tuple, eLL)
if (use_new_definition):
base = numpy.array([eCC,\
eLL,\
eRR])
helix = farray_helix.GetTuple1(k_tuple)
if (angles_in_degrees): helix *= math.pi / 180
C = math.cos(helix)
S = math.sin(helix)
R_helix = numpy.array([[ C, S, 0],\
[-S, C, 0],\
[ 0, 0, 1]])
base = numpy.dot(R_helix, base)
trans = farray_trans.GetTuple1(k_tuple)
if (angles_in_degrees): trans *= math.pi / 180
C = math.cos(trans)
S = math.sin(trans)
R_trans = numpy.array([[ C, 0,-S],\
[ 0, 1, 0],\
[ S, 0, C]])
base = numpy.dot(R_trans, base)
sheet = farray_sheet.GetTuple1(k_tuple)
if (angles_in_degrees): sheet *= math.pi / 180
C = math.cos(sheet)
S = math.sin(sheet)
R_sheet = numpy.array([[1, 0, 0],\
[0, C, S],\
[0, -S, C]])
base = numpy.dot(R_sheet, base)
else:
base = numpy.array([+eCC,\
+eRR,\
-eLL])
helix = farray_helix.GetTuple1(k_tuple)
if (angles_in_degrees): helix *= math.pi / 180
C = math.cos(helix)
S = math.sin(helix)
R_helix = numpy.array([[ C, 0,-S],\
[ 0, 1, 0],\
[ S, 0, C]])
base = numpy.dot(R_helix, base)
trans = farray_trans.GetTuple1(k_tuple)
if (angles_in_degrees): trans *= math.pi / 180
C = math.cos(trans)
S = math.sin(trans)
R_trans = numpy.array([[ C, S, 0],\
[-S, C, 0],\
[ 0, 0, 1]])
base = numpy.dot(R_trans, base)
sheet = farray_sheet.GetTuple1(k_tuple)
if (angles_in_degrees): sheet *= math.pi / 180
C = math.cos(sheet)
S = math.sin(sheet)
R_sheet = numpy.array([[1, 0, 0],\
[0, C, S],\
[0, -S, C]])
base = numpy.dot(R_sheet, base)
eF = base[0]
eS = base[1]
eN = base[2]
if (shuffle_vectors):
eF *= random.choice([-1, +1])
eS *= random.choice([-1, +1])
eN = numpy.cross(eF, eS)
farray_eF.SetTuple(k_tuple, eF)
farray_eS.SetTuple(k_tuple, eS)
farray_eN.SetTuple(k_tuple, eN)
return (farray_eF, farray_eS, farray_eN)
def readMatLabImage(
filename,
field_name,
field_type,
spacing=[1.,1.,1.],
verbose=1):
myVTK.myPrint(verbose, "*** readMatLabImage ***")
assert (os.path.isfile(filename)), "Wrong filename. Aborting."
data = scipy.io.loadmat(filename)[field_name]
n_pixels_x = len(data)
n_pixels_y = len(data[0])
n_pixels_z = len(data[0][0])
n_pixels = n_pixels_x * n_pixels_y * n_pixels_z
#points = vtk.vtkPoints()
#points.SetNumberOfPoints(n_pixels)
#cell_array = vtk.vtkCellArray()
#cell = vtk.vtkVertex()
if (field_type == "int"):
array_data = myVTK.createIntArray(field_name, 1, n_pixels)
elif (field_type == "double"):
array_data = myVTK.createFloatArray(field_name, 1, n_pixels)
k_pixel = 0
for k_z in xrange(n_pixels_z):
for k_y in xrange(n_pixels_y):
for k_x in xrange(n_pixels_x):
#points.InsertPoint(k_pixel, [(k_x+0.5)/n_pixels_x,\
#(k_y+0.5)/n_pixels_y,\
#(k_z+0.5)/n_pixels_z])
#cell.GetPointIds().SetId(0, k_pixel)
#cell_array.InsertNextCell(cell)
#array_data.InsertTuple(k_pixel, [data[n_pixels_y-1-k_y][n_pixels_x-1-k_x][k_z]])
#array_data.InsertTuple(k_pixel, [data[n_pixels_y-1-k_y][k_x][k_z]])
#array_data.InsertTuple(k_pixel, [data[k_y][n_pixels_x-1-k_x][k_z]])
array_data.InsertTuple(k_pixel, [data[k_y][k_x][k_z]])
#array_data.InsertTuple(k_pixel, [data[n_pixels_x-1-k_x][n_pixels_y-1-k_y][k_z]])
#array_data.InsertTuple(k_pixel, [data[n_pixels_x-1-k_x][k_y][k_z]])
#array_data.InsertTuple(k_pixel, [data[k_x][n_pixels_y-1-k_y][k_z]])
#array_data.InsertTuple(k_pixel, [data[k_x][k_y][k_z]])
k_pixel += 1
#ugrid = vtk.vtkUnstructuredGrid()
#ugrid.SetPoints(points)
#ugrid.SetCells(vtk.VTK_VERTEX, cell_array)
#ugrid.GetCellData().AddArray(array_data)
#writeXMLUGrid(ugrid, case + ".vtu")
image = vtk.vtkImageData()
image.SetExtent(0, n_pixels_x-1, 0, n_pixels_y-1, 0, n_pixels_z-1)
image.SetSpacing(spacing)
image.GetPointData().AddArray(array_data)
return image
def computeStrainsFromDisplacements(
mesh,
disp_array_name="displacement",
ref_mesh=None,
verbose=0):
myVTK.myPrint(verbose, "*** computeStrainsFromDisplacements ***")
myVTK.myPrint(min(verbose,1), "*** Warning: at some point the ordering of vector gradient components has changed, and uses C ordering instead of F. ***")
if (vtk.vtkVersion.GetVTKMajorVersion() >= 8):
ordering = "C"
elif (vtk.vtkVersion.GetVTKMajorVersion() == 7) and ((vtk.vtkVersion.GetVTKMinorVersion() > 0) or (vtk.vtkVersion.GetVTKBuildVersion() > 0)):
ordering = "C"
else:
ordering = "F"
n_points = mesh.GetNumberOfPoints()
n_cells = mesh.GetNumberOfCells()
assert (mesh.GetPointData().HasArray(disp_array_name))
mesh.GetPointData().SetActiveVectors(disp_array_name)
cell_derivatives = vtk.vtkCellDerivatives()
cell_derivatives.SetVectorModeToPassVectors()
cell_derivatives.SetTensorModeToComputeGradient()
if (vtk.vtkVersion.GetVTKMajorVersion() >= 6):
cell_derivatives.SetInputData(mesh)
else:
cell_derivatives.SetInput(mesh)
cell_derivatives.Update()
farray_gu = cell_derivatives.GetOutput().GetCellData().GetArray("VectorGradient")
if (ref_mesh is not None):
farray_strain = myVTK.createFloatArray(
name="Strain_CAR",
n_components=6,
n_tuples=n_cells)
else:
farray_strain = myVTK.createFloatArray(
name="Strain",
n_components=6,
n_tuples=n_cells)
mesh.GetCellData().AddArray(farray_strain)
I = numpy.eye(3)
E_vec = numpy.empty(6)
#e_vec = numpy.empty(6)
for k_cell in range(n_cells):
GU = numpy.reshape(farray_gu.GetTuple(k_cell), (3,3), ordering)
F = I + GU
C = numpy.dot(numpy.transpose(F), F)
E = (C - I)/2
mat_sym33_to_vec_col6(E, E_vec)
farray_strain.SetTuple(k_cell, E_vec)
#if (add_almansi_strain):
#Finv = numpy.linalg.inv(F)
#c = numpy.dot(numpy.transpose(Finv), Finv)
#e = (I - c)/2
#mat_sym33_to_vec_col6(e, e_vec)
#farray_almansi.SetTuple(k_cell, e_vec)
if (ref_mesh is not None) and (ref_mesh.GetCellData().HasArray("eR")) and (ref_mesh.GetCellData().HasArray("eC")) and (ref_mesh.GetCellData().HasArray("eL")):
farray_strain_cyl = myVTK.rotateMatrix(
old_array=mesh.GetCellData().GetArray("Strain_CAR"),
out_vecs=[ref_mesh.GetCellData().GetArray("eR"),
ref_mesh.GetCellData().GetArray("eC"),
ref_mesh.GetCellData().GetArray("eL")],
verbose=0)
farray_strain_cyl.SetName("Strain_CYL")
mesh.GetCellData().AddArray(farray_strain_cyl)
if (ref_mesh is not None) and (ref_mesh.GetCellData().HasArray("eRR")) and (ref_mesh.GetCellData().HasArray("eCC")) and (ref_mesh.GetCellData().HasArray("eLL")):
farray_strain_pps = myVTK.rotateMatrix(
old_array=mesh.GetCellData().GetArray("Strain_CAR"),
out_vecs=[ref_mesh.GetCellData().GetArray("eRR"),
ref_mesh.GetCellData().GetArray("eCC"),
ref_mesh.GetCellData().GetArray("eLL")],
verbose=0)
farray_strain_pps.SetName("Strain_PPS")
mesh.GetCellData().AddArray(farray_strain_pps)
def rotateMatrix(old_array,
old_array_storage="vec",
in_vecs=None,
R=None,
out_vecs=None,
verbose=0):
myVTK.myPrint(verbose, "*** rotateMatrix ***")
myVTK.myPrint(
min(verbose, 1),
"*** Warning: in rotateMatrix, the definition of the global rotation is probably the inverse of the definition in previous rotateTensors function. ***"
)
n_components = old_array.GetNumberOfComponents()
if (old_array_storage == "vec"):
assert (n_components == 6
), "Wrong numpber of components (n_components=" + str(
n_components) + "). Aborting."
elif (old_array_storage == "Cmat"):
assert (n_components == 9
), "Wrong numpber of components (n_components=" + str(
n_components) + "). Aborting."
elif (old_array_storage == "Fmat"):
assert (n_components == 9
), "Wrong numpber of components (n_components=" + str(
n_components) + "). Aborting."
else:
assert (0), "Wrong storage (old_array_storage=" + str(
old_array_storage) + "). Aborting."
n_tuples = old_array.GetNumberOfTuples()
new_array = myVTK.createFloatArray(old_array.GetName(), n_components,
n_tuples)
new_vector = numpy.empty(n_components)
if (old_array_storage == "vec"):
old_vector = numpy.empty(6)
elif (old_array_storage == "Cmat"):
old_vector = numpy.empty(9)
elif (old_array_storage == "Fmat"):
old_vector = numpy.empty(9)
old_matrix = numpy.empty((3, 3))
new_matrix = numpy.empty((3, 3))
for k_tuple in xrange(n_tuples):
old_array.GetTuple(k_tuple, old_vector)
if (old_array_storage == "vec"):
vec_col6_to_mat_sym33(old_vector, old_matrix)
elif (old_array_storage == "Cmat"):
cvec9_to_mat33(old_vector, old_matrix)
elif (old_array_storage == "Fmat"):
fvec9_to_mat33(old_vector, old_matrix)
if (in_vecs is None):
in_R = numpy.eye(3)
else:
in_R = numpy.transpose(
numpy.array([
in_vecs[0].GetTuple(k_tuple), in_vecs[1].GetTuple(k_tuple),
in_vecs[2].GetTuple(k_tuple)
]))
if (out_vecs is None):
out_R = numpy.eye(3)
else:
out_R = numpy.transpose(
numpy.array([
out_vecs[0].GetTuple(k_tuple),
out_vecs[1].GetTuple(k_tuple),
out_vecs[2].GetTuple(k_tuple)
]))
if (R is None):
R = numpy.eye(3)
full_R = numpy.dot(numpy.dot(numpy.transpose(in_R), R), out_R)
new_matrix[:] = numpy.dot(
numpy.dot(numpy.transpose(full_R), old_matrix), full_R)
if (old_array_storage == "vec"):
mat_sym33_to_vec_col6(new_matrix, new_vector)
elif (old_array_storage == "Cmat"):
mat33_to_cvec9(new_matrix, new_vector)
elif (old_array_storage == "Fmat"):
mat33_to_fvec9(new_matrix, new_vector)
new_array.SetTuple(k_tuple, new_vector)
return new_array
def computeHelixTransverseSheetAngles2(farray_eRR,
farray_eCC,
farray_eLL,
farray_eF,
farray_eS,
farray_eN,
use_new_definition=False,
ref_vectors_are_material_basis=False,
verbose=0):
myVTK.myPrint(verbose, "*** computeHelixTransverseSheetAngles2 ***")
n_tuples = farray_eRR.GetNumberOfTuples()
assert (farray_eCC.GetNumberOfTuples() == n_tuples)
assert (farray_eLL.GetNumberOfTuples() == n_tuples)
assert (farray_eF.GetNumberOfTuples() == n_tuples)
assert (farray_eS.GetNumberOfTuples() == n_tuples)
assert (farray_eN.GetNumberOfTuples() == n_tuples)
farray_angle_helix = myVTK.createFloatArray("angle_helix", 1, n_tuples)
farray_angle_trans = myVTK.createFloatArray("angle_trans", 1, n_tuples)
farray_angle_sheet = myVTK.createFloatArray("angle_sheet", 1, n_tuples)
eRR = numpy.empty(3)
eCC = numpy.empty(3)
eLL = numpy.empty(3)
eF = numpy.empty(3)
eS = numpy.empty(3)
eN = numpy.empty(3)
for k_tuple in xrange(n_tuples):
farray_eRR.GetTuple(k_tuple, eRR)
farray_eCC.GetTuple(k_tuple, eCC)
farray_eLL.GetTuple(k_tuple, eLL)
farray_eF.GetTuple(k_tuple, eF)
farray_eS.GetTuple(k_tuple, eS)
farray_eN.GetTuple(k_tuple, eN)
#print "eRR = "+str(eRR)
#print "eCC = "+str(eCC)
#print "eLL = "+str(eLL)
#print "eF = "+str(eF)
#print "eS = "+str(eS)
#print "eN = "+str(eN)
#print "|eRR| = "+str(numpy.linalg.norm(eRR))
#print "|eCC| = "+str(numpy.linalg.norm(eCC))
#print "|eLL| = "+str(numpy.linalg.norm(eLL))
#print "eRR.eCC = "+str(numpy.dot(eRR, eCC))
#print "eCC.eLL = "+str(numpy.dot(eCC, eLL))
#print "eLL.eRR = "+str(numpy.dot(eLL, eRR))
#print "|eF| = "+str(numpy.linalg.norm(eF))
#print "|eS| = "+str(numpy.linalg.norm(eS))
#print "|eN| = "+str(numpy.linalg.norm(eN))
#print "eF.eS = "+str(numpy.dot(eF, eS))
#print "eS.eN = "+str(numpy.dot(eS, eN))
#print "eN.eF = "+str(numpy.dot(eN, eF))
assert (round(numpy.linalg.norm(eRR),1) == 1.0),\
"|eRR| = "+str(numpy.linalg.norm(eRR))+" ≠ 1. Aborting."
assert (round(numpy.linalg.norm(eCC),1) == 1.0),\
"|eCC| = "+str(numpy.linalg.norm(eCC))+" ≠ 1. Aborting."
assert (round(numpy.linalg.norm(eLL),1) == 1.0),\
"|eLL| = "+str(numpy.linalg.norm(eLL))+" ≠ 1. Aborting."
assert (round(numpy.dot(eRR,eCC),1) == 0.0),\
"eRR.eCC = "+str(numpy.dot(eRR,eCC))+" ≠ 0. Aborting."
assert (round(numpy.dot(eCC,eLL),1) == 0.0),\
"eCC.eLL = "+str(numpy.dot(eCC,eLL))+" ≠ 0. Aborting."
assert (round(numpy.dot(eLL,eRR),1) == 0.0),\
"eLL.eRR = "+str(numpy.dot(eLL,eRR))+" ≠ 0. Aborting."
assert (round(numpy.linalg.det([eRR, eCC, eLL]),1) == 1.0),\
"det([eRR, eCC, eLL]) = "+str(numpy.linalg.det([eRR, eCC, eLL]))+" ≠ 1. Aborting."
assert (round(numpy.linalg.norm(eF),1) == 1.0),\
"|eF| = "+str(numpy.linalg.norm(eF))+" ≠ 1. Aborting."
assert (round(numpy.linalg.norm(eS),1) == 1.0),\
"|eS| = "+str(numpy.linalg.norm(eS))+" ≠ 1. Aborting."
assert (round(numpy.linalg.norm(eN),1) == 1.0),\
"|eN| = "+str(numpy.linalg.norm(eN))+" ≠ 1. Aborting."
assert (round(numpy.dot(eF,eS),1) == 0.0),\
"eF.eS = "+str(numpy.dot(eF,eS))+" ≠ 0. Aborting."
assert (round(numpy.dot(eS,eN),1) == 0.0),\
"eS.eN = "+str(numpy.dot(eS,eN))+" ≠ 0. Aborting."
assert (round(numpy.dot(eN,eF),1) == 0.0),\
"eN.eF = "+str(numpy.dot(eN,eF))+" ≠ 0. Aborting."
assert (round(numpy.linalg.det([eF, eS, eN]),1) == 1.0),\
"det([eF, eS, eN]) = "+str(numpy.linalg.det([eF, eS, eN]))+" ≠ 1. Aborting."
# reference basis
if (ref_vectors_are_material_basis):
ref = numpy.array([+eRR, +eCC, +eLL])
else:
if (use_new_definition):
ref = numpy.array([+eCC, +eLL, +eRR])
else:
ref = numpy.array([+eCC, +eRR, -eLL])
# material basis
if (abs(numpy.dot(eF, ref[0])) > 1e-3):
eF = math.copysign(1., numpy.dot(eF, ref[0])) * eF
if (abs(numpy.dot(eS, ref[1])) > 1e-3):
eS = math.copysign(1., numpy.dot(eS, ref[1])) * eS
eN = numpy.cross(eF, eS)
base = numpy.array([eF, eS, eN])
assert (round(numpy.linalg.det(base),1) == 1.0),\
"det(base) = "+str(numpy.linalg.det(base))+" ≠ 1. Aborting."
#print "b0.r0 = "+str(numpy.dot(base[0], ref[0]))
#print "b0.r1 = "+str(numpy.dot(base[0], ref[1]))
#print "b0.r2 = "+str(numpy.dot(base[0], ref[2]))
#print "b1.r0 = "+str(numpy.dot(base[1], ref[0]))
#print "b1.r1 = "+str(numpy.dot(base[1], ref[1]))
#print "b1.r2 = "+str(numpy.dot(base[1], ref[2]))
#print "b2.r0 = "+str(numpy.dot(base[2], ref[0]))
#print "b2.r1 = "+str(numpy.dot(base[2], ref[1]))
#print "b2.r2 = "+str(numpy.dot(base[2], ref[2]))
if (use_new_definition):
sheet = math.atan2(numpy.dot(base[1], ref[2]),
numpy.dot(base[2], ref[2]))
#print "sheet = "+str(sheet)+" = "+str(sheet*180/math.pi)
#sheet = (sheet+math.pi/2)%math.pi - math.pi/2
#print "sheet = "+str(sheet)+" = "+str(sheet*180/math.pi)
C = math.cos(sheet)
S = math.sin(sheet)
R_sheet = numpy.array([[1, 0, 0],\
[0, C, S],\
[0, -S, C]])
base = numpy.dot(numpy.transpose(R_sheet), base)
#print base
if (numpy.dot(base[1], ref[1]) < 0):
R_sheet = numpy.array([[1, 0, 0],\
[0, -1, 0],\
[0, 0, -1]])
base = numpy.dot(numpy.transpose(R_sheet), base)
else:
sheet = math.atan2(-numpy.dot(base[2], ref[1]),
numpy.dot(base[1], ref[1]))
#print "sheet = "+str(sheet)+" = "+str(sheet*180/math.pi)
#sheet = (sheet+math.pi/2)%math.pi - math.pi/2
#print "sheet = "+str(sheet)+" = "+str(sheet*180/math.pi)
C = math.cos(sheet)
S = math.sin(sheet)
R_sheet = numpy.array([[1, 0, 0],\
[0, C, S],\
[0, -S, C]])
base = numpy.dot(numpy.transpose(R_sheet), base)
#print base
if (numpy.dot(base[2], ref[2]) < 0):
R_sheet = numpy.array([[1, 0, 0],\
[0, -1, 0],\
[0, 0, -1]])
base = numpy.dot(numpy.transpose(R_sheet), base)
#print "b0.r0 = "+str(numpy.dot(base[0], ref[0]))
#print "b0.r1 = "+str(numpy.dot(base[0], ref[1]))
#print "b0.r2 = "+str(numpy.dot(base[0], ref[2]))
#print "b1.r0 = "+str(numpy.dot(base[1], ref[0]))
#print "b1.r1 = "+str(numpy.dot(base[1], ref[1]))
#print "b1.r2 = "+str(numpy.dot(base[1], ref[2]))
#print "b2.r0 = "+str(numpy.dot(base[2], ref[0]))
#print "b2.r1 = "+str(numpy.dot(base[2], ref[1]))
#print "b2.r2 = "+str(numpy.dot(base[2], ref[2]))
if (use_new_definition):
trans = math.atan2(numpy.dot(base[2], ref[0]),
numpy.dot(base[0], ref[0]))
#print "trans = "+str(trans)+" = "+str(trans*180/math.pi)
#assert (math.atan2(numpy.dot(base[2], ref[1]), numpy.dot(base[0], ref[1])) == trans),\
#"atan2(b2 . r1, b0 . r1) = "+str(math.atan2(numpy.dot(base[2], ref[1]), numpy.dot(base[0], ref[1])))+" ≠ trans. Aborting."
#assert (math.atan2(-numpy.dot(base[0], ref[2]), numpy.dot(base[2], ref[2])) == trans),\
#"atan2(-b0 . r2, b2 . r2) = "+str(math.atan2(-numpy.dot(base[0], ref[2]), numpy.dot(base[2], ref[2])))+" ≠ trans. Aborting."
#trans = (trans+math.pi/2)%math.pi - math.pi/2
#print "trans = "+str(trans)+" = "+str(trans*180/math.pi)
C = math.cos(trans)
S = math.sin(trans)
R_trans = numpy.array([[ C, 0,-S],\
[ 0, 1, 0],\
[ S, 0, C]])
base = numpy.dot(numpy.transpose(R_trans), base)
#print base
if (numpy.dot(base[2], ref[2]) < 0):
R_trans = numpy.array([[-1, 0, 0],\
[ 0, 1, 0],\
[ 0, 0, -1]])
base = numpy.dot(numpy.transpose(R_trans), base)
else:
trans = math.atan2(-numpy.dot(base[1], ref[0]),
numpy.dot(base[0], ref[0]))
#print "trans = "+str(trans)+" = "+str(trans*180/math.pi)
#assert (math.atan2(-numpy.dot(base[1], ref[2]), numpy.dot(base[0], ref[2])) == trans),\
#"atan2(b1 . r2, b0 . r2) = "+str(math.atan2(numpy.dot(base[1], ref[2]), numpy.dot(base[0], ref[2])))+" ≠ trans. Aborting."
#assert (-math.atan2(-numpy.dot(base[0], ref[1]), numpy.dot(base[1], ref[1])) == trans),\
#"atan2(-b0 . r1, b1 . r1) = "+str(math.atan2(-numpy.dot(base[0], ref[1]), numpy.dot(base[1], ref[1])))+" ≠ trans. Aborting."
#trans = (trans+math.pi/2)%math.pi - math.pi/2
#print "trans = "+str(trans)+" = "+str(trans*180/math.pi)
C = math.cos(trans)
S = math.sin(trans)
R_trans = numpy.array([[ C, S, 0],\
[-S, C, 0],\
[ 0, 0, 1]])
base = numpy.dot(numpy.transpose(R_trans), base)
#print base
if (numpy.dot(base[1], ref[1]) < 0):
R_trans = numpy.array([[-1, 0, 0],\
[ 0, -1, 0],\
[ 0, 0, 1]])
base = numpy.dot(numpy.transpose(R_trans), base)
#print "b0.r0 = "+str(numpy.dot(base[0], ref[0]))
#print "b0.r1 = "+str(numpy.dot(base[0], ref[1]))
#print "b0.r2 = "+str(numpy.dot(base[0], ref[2]))
#print "b1.r0 = "+str(numpy.dot(base[1], ref[0]))
#print "b1.r1 = "+str(numpy.dot(base[1], ref[1]))
#print "b1.r2 = "+str(numpy.dot(base[1], ref[2]))
#print "b2.r0 = "+str(numpy.dot(base[2], ref[0]))
#print "b2.r1 = "+str(numpy.dot(base[2], ref[1]))
#print "b2.r2 = "+str(numpy.dot(base[2], ref[2]))
if (use_new_definition):
helix = math.atan2(numpy.dot(base[0], ref[1]),
numpy.dot(base[1], ref[1]))
#print "helix = "+str(helix)+" = "+str(helix*180/math.pi)
#assert (numpy.isclose(math.atan2(-numpy.dot(base[1], ref[0]), numpy.dot(base[0], ref[0])), helix, atol=1e-3)),\
#"atan2(-b1 . r0, b0 . r0) = "+str(math.atan2(-numpy.dot(base[1], ref[0]), numpy.dot(base[0], ref[0])))+" ≠ helix. Aborting."
#helix = (helix+math.pi/2)%math.pi - math.pi/2
#print "helix = "+str(helix)+" = "+str(helix*180/math.pi)
C = math.cos(helix)
S = math.sin(helix)
R_helix = numpy.array([[ C, S, 0],\
[-S, C, 0],\
[ 0, 0, 1]])
base = numpy.dot(numpy.transpose(R_helix), base)
#print base
if (numpy.dot(base[0], ref[0]) < 0):
R_helix = numpy.array([[-1, 0, 0],\
[ 0, -1, 0],\
[ 0, 0, 1]])
base = numpy.dot(numpy.transpose(R_helix), base)
else:
helix = math.atan2(-numpy.dot(base[0], ref[2]),
numpy.dot(base[2], ref[2]))
#print "helix = "+str(helix)+" = "+str(helix*180/math.pi)
#assert (numpy.isclose(math.atan2(numpy.dot(base[2], ref[0]), numpy.dot(base[0], ref[0])), helix, atol=1e-3)),\
#"atan2(-b2 . r0, b0 . r0) = "+str(math.atan2(-numpy.dot(base[2], ref[0]), numpy.dot(base[0], ref[0])))+" ≠ helix. Aborting."
#helix = (helix+math.pi/2)%math.pi - math.pi/2
#print "helix = "+str(helix)+" = "+str(helix*180/math.pi)
C = math.cos(helix)
S = math.sin(helix)
R_helix = numpy.array([[ C, 0,-S],\
[ 0, 1, 0],\
[ S, 0, C]])
base = numpy.dot(numpy.transpose(R_helix), base)
#print base
if (numpy.dot(base[0], ref[0]) < 0):
R_helix = numpy.array([[-1, 0, 0],\
[ 0, 1, 0],\
[ 0, 0, -1]])
base = numpy.dot(numpy.transpose(R_helix), base)
#print "b0.r0 = "+str(numpy.dot(base[0], ref[0]))
#print "b0.r1 = "+str(numpy.dot(base[0], ref[1]))
#print "b0.r2 = "+str(numpy.dot(base[0], ref[2]))
#print "b1.r0 = "+str(numpy.dot(base[1], ref[0]))
#print "b1.r1 = "+str(numpy.dot(base[1], ref[1]))
#print "b1.r2 = "+str(numpy.dot(base[1], ref[2]))
#print "b2.r0 = "+str(numpy.dot(base[2], ref[0]))
#print "b2.r1 = "+str(numpy.dot(base[2], ref[1]))
#print "b2.r2 = "+str(numpy.dot(base[2], ref[2]))
assert (round(numpy.dot(base[0],ref[0]),1) == 1.0),\
"b0.r0 = "+str(numpy.dot(base[0],ref[0]))+" ≠ 1. Aborting."
assert (round(numpy.dot(base[1],ref[1]),1) == 1.0),\
"b1.r1 = "+str(numpy.dot(base[1],ref[1]))+" ≠ 1. Aborting."
assert (round(numpy.dot(base[2],ref[2]),1) == 1.0),\
"b2.r2 = "+str(numpy.dot(base[2],ref[2]))+" ≠ 1. Aborting."
helix = (helix + math.pi / 2) % math.pi - math.pi / 2
trans = (trans + math.pi / 2) % math.pi - math.pi / 2
sheet = (sheet + math.pi / 2) % math.pi - math.pi / 2
helix *= 180 / math.pi
trans *= 180 / math.pi
sheet *= 180 / math.pi
farray_angle_helix.SetTuple1(k_tuple, helix)
farray_angle_trans.SetTuple1(k_tuple, trans)
farray_angle_sheet.SetTuple1(k_tuple, sheet)
return (farray_angle_helix, farray_angle_trans, farray_angle_sheet)
def computePseudoProlateSpheroidalCoordinatesAndBasisForLV(
points,
farray_c,
farray_l,
farray_eL,
pdata_end,
pdata_epi,
iarray_part_id=None,
verbose=1):
myVTK.myPrint(verbose, "*** computePseudoProlateSpheroidalCoordinatesAndBasisForLV ***")
myVTK.myPrint(verbose, "Computing surface cell normals...")
pdata_end = myVTK.addPDataNormals(
pdata=pdata_end,
verbose=verbose-1)
pdata_epi = myVTK.addPDataNormals(
pdata=pdata_epi,
verbose=verbose)
myVTK.myPrint(verbose, "Initializing surface cell locators...")
(cell_locator_end,
closest_point_end,
generic_cell,
cellId_end,
subId,
dist_end) = myVTK.getCellLocator(
mesh=pdata_end,
verbose=verbose-1)
(cell_locator_epi,
closest_point_epi,
generic_cell,
cellId_epi,
subId,
dist_epi) = myVTK.getCellLocator(
mesh=pdata_epi,
verbose=verbose-1)
myVTK.myPrint(verbose, "Computing local prolate spheroidal directions...")
n_points = points.GetNumberOfPoints()
farray_rr = myVTK.createFloatArray("rr", 1, n_points)
farray_cc = myVTK.createFloatArray("cc", 1, n_points)
farray_ll = myVTK.createFloatArray("ll", 1, n_points)
farray_eRR = myVTK.createFloatArray("eRR", 3, n_points)
farray_eCC = myVTK.createFloatArray("eCC", 3, n_points)
farray_eLL = myVTK.createFloatArray("eLL", 3, n_points)
if (n_points == 0):
return (farray_rr,
farray_cc,
farray_ll,
farray_eRR,
farray_eCC,
farray_eLL)
c_lst = [farray_c.GetTuple(k_point)[0] for k_point in xrange(n_points)]
c_min = min(c_lst)
c_max = max(c_lst)
l_lst = [farray_l.GetTuple(k_point)[0] for k_point in xrange(n_points)]
l_min = min(l_lst)
l_max = max(l_lst)
for k_point in xrange(n_points):
if (iarray_part_id is not None) and (int(iarray_part_id.GetTuple(k_point)[0]) > 0):
rr = 0.
cc = 0.
ll = 0.
eRR = [1.,0.,0.]
eCC = [0.,1.,0.]
eLL = [0.,0.,1.]
else:
point = numpy.array(points.GetPoint(k_point))
cell_locator_end.FindClosestPoint(
point,
closest_point_end,
generic_cell,
cellId_end,
subId,
dist_end)
cell_locator_epi.FindClosestPoint(
point,
closest_point_epi,
generic_cell,
cellId_epi,
subId,
dist_epi)
rr = dist_end/(dist_end+dist_epi)
c = farray_c.GetTuple(k_point)[0]
cc = (c-c_min) / (c_max-c_min)
l = farray_l.GetTuple(k_point)[0]
ll = (l-l_min) / (l_max-l_min)
normal_end = numpy.reshape(pdata_end.GetCellData().GetNormals().GetTuple(cellId_end), (3))
normal_epi = numpy.reshape(pdata_epi.GetCellData().GetNormals().GetTuple(cellId_epi), (3))
eRR = (1.-rr) * normal_end + rr * normal_epi
eRR /= numpy.linalg.norm(eRR)
eL = numpy.reshape(farray_eL.GetTuple(k_point), (3))
eCC = numpy.cross(eL, eRR)
eCC /= numpy.linalg.norm(eCC)
eLL = numpy.cross(eRR, eCC)
farray_rr.InsertTuple(k_point, [rr])
farray_cc.InsertTuple(k_point, [cc])
farray_ll.InsertTuple(k_point, [ll])
farray_eRR.InsertTuple(k_point, eRR)
farray_eCC.InsertTuple(k_point, eCC)
farray_eLL.InsertTuple(k_point, eLL)
return (farray_rr,
farray_cc,
farray_ll,
farray_eRR,
farray_eCC,
farray_eLL)
def computeFiberDirections(
farray_eRR,
farray_eCC,
farray_eLL,
farray_angle_helix,
angles_in_degrees=True,
use_new_definition=False,
shuffle_vectors=False,
verbose=0):
myVTK.myPrint(verbose, "*** computeFiberDirections ***")
n_tuples = farray_angle_helix.GetNumberOfTuples()
farray_eF = myVTK.createFloatArray("eF", 3, n_tuples)
farray_eS = myVTK.createFloatArray("eS", 3, n_tuples)
farray_eN = myVTK.createFloatArray("eN", 3, n_tuples)
eRR = numpy.empty(3)
eCC = numpy.empty(3)
eLL = numpy.empty(3)
for k_tuple in xrange(n_tuples):
farray_eRR.GetTuple(k_tuple, eRR)
farray_eCC.GetTuple(k_tuple, eCC)
farray_eLL.GetTuple(k_tuple, eLL)
assert (round(numpy.linalg.norm(eRR),1) == 1.0),\
"|eRR| = "+str(numpy.linalg.norm(eRR))+"≠ 1. Aborting"
assert (round(numpy.linalg.norm(eCC),1) == 1.0),\
"|eCC| = "+str(numpy.linalg.norm(eCC))+"≠ 1. Aborting"
assert (round(numpy.linalg.norm(eLL),1) == 1.0),\
"|eLL| = "+str(numpy.linalg.norm(eLL))+"≠ 1. Aborting"
angle_helix = farray_angle_helix.GetTuple1(k_tuple)
if (angles_in_degrees): angle_helix = angle_helix*math.pi/180
eF = math.cos(angle_helix) * eCC + math.sin(angle_helix) * eLL
#print "eF = "+str(eF)
if (shuffle_vectors):
eF *= random.choice([-1,+1])
#print "eF = "+str(eF)
if (use_new_definition):
eN = eRR
if (shuffle_vectors):
eN *= random.choice([-1,+1])
assert (abs(numpy.dot(eN,eRR)) > 0.999)
eS = numpy.cross(eN, eF)
else:
eS = eRR
if (shuffle_vectors): eS *= random.choice([-1,+1])
eN = numpy.cross(eF, eS)
assert (round(numpy.linalg.norm(eF),1) == 1.0),\
"|eF| = "+str(numpy.linalg.norm(eF))+"≠ 1. Aborting"
assert (round(numpy.linalg.norm(eS),1) == 1.0),\
"|eS| = "+str(numpy.linalg.norm(eS))+"≠ 1. Aborting"
assert (round(numpy.linalg.norm(eN),1) == 1.0),\
"|eN| = "+str(numpy.linalg.norm(eN))+"≠ 1. Aborting"
farray_eF.SetTuple(k_tuple, eF)
farray_eS.SetTuple(k_tuple, eS)
farray_eN.SetTuple(k_tuple, eN)
return (farray_eF,
farray_eS,
farray_eN)
def computePseudoProlateSpheroidalCoordinatesAndBasisForBiV(
points,
iarray_regions,
farray_c,
farray_l,
farray_eL,
pdata_endLV,
pdata_endRV,
pdata_epi,
iarray_part_id=None,
verbose=1):
myVTK.myPrint(verbose, "*** computePseudoProlateSpheroidalCoordinatesAndBasisForBiV ***")
myVTK.myPrint(verbose, "Computing surface cell normals...")
pdata_endLV = myVTK.addPDataNormals(
pdata=pdata_endLV,
verbose=verbose-1)
pdata_endRV = myVTK.addPDataNormals(
pdata=pdata_endRV,
verbose=verbose-1)
pdata_epi = myVTK.addPDataNormals(
pdata=pdata_epi,
verbose=verbose)
myVTK.myPrint(verbose, "Initializing surface cell locators...")
(cell_locator_endLV,
closest_point_endLV,
generic_cell,
cellId_endLV,
subId,
dist_endLV) = myVTK.getCellLocator(
mesh=pdata_endLV,
verbose=verbose-1)
(cell_locator_endRV,
closest_point_endRV,
generic_cell,
cellId_endRV,
subId,
dist_endRV) = myVTK.getCellLocator(
mesh=pdata_endRV,
verbose=verbose-1)
(cell_locator_epi,
closest_point_epi,
generic_cell,
cellId_epi,
subId,
dist_epi) = myVTK.getCellLocator(
mesh=pdata_epi,
verbose=verbose-1)
myVTK.myPrint(verbose, "Computing local prolate spheroidal directions...")
n_points = points.GetNumberOfPoints()
farray_rr = myVTK.createFloatArray("rr", 1, n_points)
farray_cc = myVTK.createFloatArray("cc", 1, n_points)
farray_ll = myVTK.createFloatArray("ll", 1, n_points)
farray_eRR = myVTK.createFloatArray("eRR", 3, n_points)
farray_eCC = myVTK.createFloatArray("eCC", 3, n_points)
farray_eLL = myVTK.createFloatArray("eLL", 3, n_points)
c_lst_FWLV = numpy.array([farray_c.GetTuple(k_point)[0] for k_point in xrange(n_points) if (iarray_regions.GetTuple(k_point)[0] == 0)])
(c_avg_FWLV, c_std_FWLV) = myVTK.computeMeanStddevAngles(
angles=c_lst_FWLV,
angles_in_degrees=False,
angles_in_pm_pi=False)
myVTK.myPrint(verbose, "c_avg_FWLV = " + str(c_avg_FWLV))
c_lst_FWLV = (((c_lst_FWLV-c_avg_FWLV+math.pi)%(2*math.pi))-math.pi+c_avg_FWLV)
c_min_FWLV = min(c_lst_FWLV)
c_max_FWLV = max(c_lst_FWLV)
myVTK.myPrint(verbose, "c_min_FWLV = " + str(c_min_FWLV))
myVTK.myPrint(verbose, "c_max_FWLV = " + str(c_max_FWLV))
c_lst_S = numpy.array([farray_c.GetTuple(k_point)[0] for k_point in xrange(n_points) if (iarray_regions.GetTuple(k_point)[0] == 1)])
(c_avg_S, c_std_S) = myVTK.computeMeanStddevAngles(
angles=c_lst_S,
angles_in_degrees=False,
angles_in_pm_pi=False)
myVTK.myPrint(verbose, "c_avg_S = " + str(c_avg_S))
c_lst_S = (((c_lst_S-c_avg_S+math.pi)%(2*math.pi))-math.pi+c_avg_S)
c_min_S = min(c_lst_S)
c_max_S = max(c_lst_S)
myVTK.myPrint(verbose, "c_min_S = " + str(c_min_S))
myVTK.myPrint(verbose, "c_max_S = " + str(c_max_S))
c_lst_FWRV = numpy.array([farray_c.GetTuple(k_point)[0] for k_point in xrange(n_points) if (iarray_regions.GetTuple(k_point)[0] == 2)])
(c_avg_FWRV, c_std_FWRV) = myVTK.computeMeanStddevAngles(
angles=c_lst_FWRV,
angles_in_degrees=False,
angles_in_pm_pi=False)
myVTK.myPrint(verbose, "c_avg_FWRV = " + str(c_avg_FWRV))
c_lst_FWRV = (((c_lst_FWRV-c_avg_FWRV+math.pi)%(2*math.pi))-math.pi+c_avg_FWRV)
c_min_FWRV = min(c_lst_FWRV)
c_max_FWRV = max(c_lst_FWRV)
myVTK.myPrint(verbose, "c_min_FWRV = " + str(c_min_FWRV))
myVTK.myPrint(verbose, "c_max_FWRV = " + str(c_max_FWRV))
l_lst = [farray_l.GetTuple(k_point)[0] for k_point in xrange(n_points)]
l_min = min(l_lst)
l_max = max(l_lst)
for k_point in xrange(n_points):
if (iarray_part_id is not None) and (int(iarray_part_id.GetTuple(k_point)[0]) > 0):
rr = 0.
cc = 0.
ll = 0.
eRR = [1.,0.,0.]
eCC = [0.,1.,0.]
eLL = [0.,0.,1.]
else:
point = numpy.array(points.GetPoint(k_point))
region_id = iarray_regions.GetTuple(k_point)[0]
if (region_id == 0):
cell_locator_endLV.FindClosestPoint(
point,
closest_point_endLV,
generic_cell,
cellId_endLV,
subId,
dist_endLV)
cell_locator_epi.FindClosestPoint(
point,
closest_point_epi,
generic_cell,
cellId_epi,
subId,
dist_epi)
rr = dist_endLV/(dist_endLV+dist_epi)
c = farray_c.GetTuple(k_point)[0]
c = (((c-c_avg_FWLV+math.pi)%(2*math.pi))-math.pi+c_avg_FWLV)
cc = (c-c_min_FWLV) / (c_max_FWLV-c_min_FWLV)
l = farray_l.GetTuple(k_point)[0]
ll = (l-l_min) / (l_max-l_min)
normal_endLV = numpy.reshape(pdata_endLV.GetCellData().GetNormals().GetTuple(cellId_endLV), (3))
normal_epi = numpy.reshape(pdata_epi.GetCellData().GetNormals().GetTuple(cellId_epi), (3))
eRR = (1.-rr) * normal_endLV + rr * normal_epi
eRR /= numpy.linalg.norm(eRR)
eL = numpy.reshape(farray_eL.GetTuple(k_point), (3))
eCC = numpy.cross(eL, eRR)
eCC /= numpy.linalg.norm(eCC)
eLL = numpy.cross(eRR, eCC)
elif (region_id == 1):
cell_locator_endLV.FindClosestPoint(
point,
closest_point_endLV,
generic_cell,
cellId_endLV,
subId,
dist_endLV)
cell_locator_endRV.FindClosestPoint(
point,
closest_point_endRV,
generic_cell,
cellId_endRV,
subId,
dist_endRV)
rr = dist_endLV/(dist_endLV+dist_endRV)
c = farray_c.GetTuple(k_point)[0]
c = (((c-c_avg_S+math.pi)%(2*math.pi))-math.pi+c_avg_S)
cc = (c-c_min_S) / (c_max_S-c_min_S)
l = farray_l.GetTuple(k_point)[0]
ll = (l-l_min) / (l_max-l_min)
normal_endLV = numpy.reshape(pdata_endLV.GetCellData().GetNormals().GetTuple(cellId_endLV), (3))
normal_endRV = numpy.reshape(pdata_endRV.GetCellData().GetNormals().GetTuple(cellId_endRV), (3))
eRR = (1.-rr) * normal_endLV - rr * normal_endRV
eRR /= numpy.linalg.norm(eRR)
eL = numpy.reshape(farray_eL.GetTuple(k_point), (3))
eCC = numpy.cross(eL, eRR)
eCC /= numpy.linalg.norm(eCC)
eLL = numpy.cross(eRR, eCC)
if (region_id == 2):
cell_locator_endRV.FindClosestPoint(
point,
closest_point_endRV,
generic_cell,
cellId_endRV,
subId,
dist_endRV)
cell_locator_epi.FindClosestPoint(
point,
closest_point_epi,
generic_cell,
cellId_epi,
subId,
dist_epi)
rr = dist_endRV/(dist_endRV+dist_epi)
c = farray_c.GetTuple(k_point)[0]
c = (((c-c_avg_FWRV+math.pi)%(2*math.pi))-math.pi+c_avg_FWRV)
cc = (c-c_min_FWRV) / (c_max_FWRV-c_min_FWRV)
l = farray_l.GetTuple(k_point)[0]
ll = (l-l_min) / (l_max-l_min)
normal_endRV = numpy.reshape(pdata_endRV.GetCellData().GetNormals().GetTuple(cellId_endRV), (3))
normal_epi = numpy.reshape(pdata_epi.GetCellData().GetNormals().GetTuple(cellId_epi), (3))
eRR = (1.-rr) * normal_endRV + rr * normal_epi
eRR /= numpy.linalg.norm(eRR)
eL = numpy.reshape(farray_eL.GetTuple(k_point), (3))
eCC = numpy.cross(eL, eRR)
eCC /= numpy.linalg.norm(eCC)
eLL = numpy.cross(eRR, eCC)
farray_rr.InsertTuple(k_point, [rr])
farray_cc.InsertTuple(k_point, [cc])
farray_ll.InsertTuple(k_point, [ll])
farray_eRR.InsertTuple(k_point, eRR)
farray_eCC.InsertTuple(k_point, eCC)
farray_eLL.InsertTuple(k_point, eLL)
return (farray_rr,
farray_cc,
farray_ll,
farray_eRR,
farray_eCC,
farray_eLL)
def computeHelixTransverseSheetAngles2(
farray_eRR,
farray_eCC,
farray_eLL,
farray_eF,
farray_eS,
farray_eN,
use_new_definition=False,
ref_vectors_are_material_basis=False,
verbose=1):
myVTK.myPrint(verbose, "*** computeHelixTransverseSheetAngles2 ***")
n_tuples = farray_eRR.GetNumberOfTuples()
assert (farray_eCC.GetNumberOfTuples() == n_tuples)
assert (farray_eLL.GetNumberOfTuples() == n_tuples)
assert (farray_eF.GetNumberOfTuples() == n_tuples)
assert (farray_eS.GetNumberOfTuples() == n_tuples)
assert (farray_eN.GetNumberOfTuples() == n_tuples)
farray_angle_helix = myVTK.createFloatArray("angle_helix", 1, n_tuples)
farray_angle_trans = myVTK.createFloatArray("angle_trans", 1, n_tuples)
farray_angle_sheet = myVTK.createFloatArray("angle_sheet", 1, n_tuples)
for k_tuple in xrange(n_tuples):
#print "k_tuple = " + str(k_tuple)
eRR = numpy.array(farray_eRR.GetTuple(k_tuple))
eCC = numpy.array(farray_eCC.GetTuple(k_tuple))
eLL = numpy.array(farray_eLL.GetTuple(k_tuple))
eF = numpy.array(farray_eF.GetTuple(k_tuple))
eS = numpy.array(farray_eS.GetTuple(k_tuple))
eN = numpy.array(farray_eN.GetTuple(k_tuple))
#print "eRR = " + str(eRR)
#print "eCC = " + str(eCC)
#print "eLL = " + str(eLL)
#print "eF = " + str(eF)
#print "eS = " + str(eS)
#print "eN = " + str(eN)
#print "|eRR| = " + str(numpy.linalg.norm(eRR))
#print "|eCC| = " + str(numpy.linalg.norm(eCC))
#print "|eLL| = " + str(numpy.linalg.norm(eLL))
#print "eRR.eCC = " + str(numpy.dot(eRR, eCC))
#print "eCC.eLL = " + str(numpy.dot(eCC, eLL))
#print "eLL.eRR = " + str(numpy.dot(eLL, eRR))
#print "|eF| = " + str(numpy.linalg.norm(eF))
#print "|eS| = " + str(numpy.linalg.norm(eS))
#print "|eN| = " + str(numpy.linalg.norm(eN))
#print "eF.eS = " + str(numpy.dot(eF, eS))
#print "eS.eN = " + str(numpy.dot(eS, eN))
#print "eN.eF = " + str(numpy.dot(eN, eF))
assert (round(numpy.linalg.norm(eRR),1) == 1.0),\
"|eRR| = " + str(numpy.linalg.norm(eRR)) + " ≠ 1. Aborting."
assert (round(numpy.linalg.norm(eCC),1) == 1.0),\
"|eCC| = " + str(numpy.linalg.norm(eCC)) + " ≠ 1. Aborting."
assert (round(numpy.linalg.norm(eLL),1) == 1.0),\
"|eLL| = " + str(numpy.linalg.norm(eLL)) + " ≠ 1. Aborting."
assert (round(numpy.dot(eRR,eCC),1) == 0.0),\
"eRR.eCC = " + str(numpy.dot(eRR,eCC)) + " ≠ 0. Aborting."
assert (round(numpy.dot(eCC,eLL),1) == 0.0),\
"eCC.eLL = " + str(numpy.dot(eCC,eLL)) + " ≠ 0. Aborting."
assert (round(numpy.dot(eLL,eRR),1) == 0.0),\
"eLL.eRR = " + str(numpy.dot(eLL,eRR)) + " ≠ 0. Aborting."
assert (round(numpy.linalg.det([eRR, eCC, eLL]),1) == 1.0),\
"det([eRR, eCC, eLL]) = " + str(numpy.linalg.det([eRR, eCC, eLL])) + " ≠ 1. Aborting."
assert (round(numpy.linalg.norm(eF),1) == 1.0),\
"|eF| = " + str(numpy.linalg.norm(eF)) + " ≠ 1. Aborting."
assert (round(numpy.linalg.norm(eS),1) == 1.0),\
"|eS| = " + str(numpy.linalg.norm(eS)) + " ≠ 1. Aborting."
assert (round(numpy.linalg.norm(eN),1) == 1.0),\
"|eN| = " + str(numpy.linalg.norm(eN)) + " ≠ 1. Aborting."
assert (round(numpy.dot(eF,eS),1) == 0.0),\
"eF.eS = " + str(numpy.dot(eF,eS)) + " ≠ 0. Aborting."
assert (round(numpy.dot(eS,eN),1) == 0.0),\
"eS.eN = " + str(numpy.dot(eS,eN)) + " ≠ 0. Aborting."
assert (round(numpy.dot(eN,eF),1) == 0.0),\
"eN.eF = " + str(numpy.dot(eN,eF)) + " ≠ 0. Aborting."
assert (round(numpy.linalg.det([eF, eS, eN]),1) == 1.0),\
"det([eF, eS, eN]) = " + str(numpy.linalg.det([eF, eS, eN])) + " ≠ 1. Aborting."
# reference basis
if (ref_vectors_are_material_basis):
ref = numpy.array([+eRR, +eCC, +eLL])
else:
if (use_new_definition):
ref = numpy.array([+eCC, +eLL, +eRR])
else:
ref = numpy.array([+eCC, +eRR, -eLL])
# material basis
if (abs(numpy.dot(eF, ref[0])) > 1e-3):
eF = math.copysign(1., numpy.dot(eF, ref[0])) * eF
if (abs(numpy.dot(eS, ref[1])) > 1e-3):
eS = math.copysign(1., numpy.dot(eS, ref[1])) * eS
eN = numpy.cross(eF, eS)
base = numpy.array([eF, eS, eN])
assert (round(numpy.linalg.det(base),1) == 1.0),\
"det(base) = " + str(numpy.linalg.det(base)) + " ≠ 1. Aborting."
#print "b0.r0 = " + str(numpy.dot(base[0], ref[0]))
#print "b0.r1 = " + str(numpy.dot(base[0], ref[1]))
#print "b0.r2 = " + str(numpy.dot(base[0], ref[2]))
#print "b1.r0 = " + str(numpy.dot(base[1], ref[0]))
#print "b1.r1 = " + str(numpy.dot(base[1], ref[1]))
#print "b1.r2 = " + str(numpy.dot(base[1], ref[2]))
#print "b2.r0 = " + str(numpy.dot(base[2], ref[0]))
#print "b2.r1 = " + str(numpy.dot(base[2], ref[1]))
#print "b2.r2 = " + str(numpy.dot(base[2], ref[2]))
if (use_new_definition):
sheet = math.atan2(numpy.dot(base[1], ref[2]), numpy.dot(base[2], ref[2]))
#print "sheet = " + str(sheet) + " = " + str(sheet*180/math.pi)
#sheet = (sheet+math.pi/2)%math.pi - math.pi/2
#print "sheet = " + str(sheet) + " = " + str(sheet*180/math.pi)
C = math.cos(sheet)
S = math.sin(sheet)
R_sheet = numpy.array([[1, 0, 0],\
[0, C, S],\
[0, -S, C]])
base = numpy.dot(numpy.transpose(R_sheet), base)
#print base
if (numpy.dot(base[1], ref[1]) < 0):
R_sheet = numpy.array([[1, 0, 0],\
[0, -1, 0],\
[0, 0, -1]])
base = numpy.dot(numpy.transpose(R_sheet), base)
else:
sheet = math.atan2(-numpy.dot(base[2], ref[1]), numpy.dot(base[1], ref[1]))
#print "sheet = " + str(sheet) + " = " + str(sheet*180/math.pi)
#sheet = (sheet+math.pi/2)%math.pi - math.pi/2
#print "sheet = " + str(sheet) + " = " + str(sheet*180/math.pi)
C = math.cos(sheet)
S = math.sin(sheet)
R_sheet = numpy.array([[1, 0, 0],\
[0, C, S],\
[0, -S, C]])
base = numpy.dot(numpy.transpose(R_sheet), base)
#print base
if (numpy.dot(base[2], ref[2]) < 0):
R_sheet = numpy.array([[1, 0, 0],\
[0, -1, 0],\
[0, 0, -1]])
base = numpy.dot(numpy.transpose(R_sheet), base)
#print "b0.r0 = " + str(numpy.dot(base[0], ref[0]))
#print "b0.r1 = " + str(numpy.dot(base[0], ref[1]))
#print "b0.r2 = " + str(numpy.dot(base[0], ref[2]))
#print "b1.r0 = " + str(numpy.dot(base[1], ref[0]))
#print "b1.r1 = " + str(numpy.dot(base[1], ref[1]))
#print "b1.r2 = " + str(numpy.dot(base[1], ref[2]))
#print "b2.r0 = " + str(numpy.dot(base[2], ref[0]))
#print "b2.r1 = " + str(numpy.dot(base[2], ref[1]))
#print "b2.r2 = " + str(numpy.dot(base[2], ref[2]))
if (use_new_definition):
trans = math.atan2(numpy.dot(base[2], ref[0]), numpy.dot(base[0], ref[0]))
#print "trans = " + str(trans) + " = " + str(trans*180/math.pi)
#assert (math.atan2(numpy.dot(base[2], ref[1]), numpy.dot(base[0], ref[1])) == trans),\
#"atan2(b2 . r1, b0 . r1) = " + str(math.atan2(numpy.dot(base[2], ref[1]), numpy.dot(base[0], ref[1]))) + " ≠ trans. Aborting."
#assert (math.atan2(-numpy.dot(base[0], ref[2]), numpy.dot(base[2], ref[2])) == trans),\
#"atan2(-b0 . r2, b2 . r2) = " + str(math.atan2(-numpy.dot(base[0], ref[2]), numpy.dot(base[2], ref[2]))) + " ≠ trans. Aborting."
#trans = (trans+math.pi/2)%math.pi - math.pi/2
#print "trans = " + str(trans) + " = " + str(trans*180/math.pi)
C = math.cos(trans)
S = math.sin(trans)
R_trans = numpy.array([[ C, 0,-S],\
[ 0, 1, 0],\
[ S, 0, C]])
base = numpy.dot(numpy.transpose(R_trans), base)
#print base
if (numpy.dot(base[2], ref[2]) < 0):
R_trans = numpy.array([[-1, 0, 0],\
[ 0, 1, 0],\
[ 0, 0, -1]])
base = numpy.dot(numpy.transpose(R_trans), base)
else:
trans = math.atan2(-numpy.dot(base[1], ref[0]), numpy.dot(base[0], ref[0]))
#print "trans = " + str(trans) + " = " + str(trans*180/math.pi)
#assert (math.atan2(-numpy.dot(base[1], ref[2]), numpy.dot(base[0], ref[2])) == trans),\
#"atan2(b1 . r2, b0 . r2) = " + str(math.atan2(numpy.dot(base[1], ref[2]), numpy.dot(base[0], ref[2]))) + " ≠ trans. Aborting."
#assert (-math.atan2(-numpy.dot(base[0], ref[1]), numpy.dot(base[1], ref[1])) == trans),\
#"atan2(-b0 . r1, b1 . r1) = " + str(math.atan2(-numpy.dot(base[0], ref[1]), numpy.dot(base[1], ref[1]))) + " ≠ trans. Aborting."
#trans = (trans+math.pi/2)%math.pi - math.pi/2
#print "trans = " + str(trans) + " = " + str(trans*180/math.pi)
C = math.cos(trans)
S = math.sin(trans)
R_trans = numpy.array([[ C, S, 0],\
[-S, C, 0],\
[ 0, 0, 1]])
base = numpy.dot(numpy.transpose(R_trans), base)
#print base
if (numpy.dot(base[1], ref[1]) < 0):
R_trans = numpy.array([[-1, 0, 0],\
[ 0, -1, 0],\
[ 0, 0, 1]])
base = numpy.dot(numpy.transpose(R_trans), base)
#print "b0.r0 = " + str(numpy.dot(base[0], ref[0]))
#print "b0.r1 = " + str(numpy.dot(base[0], ref[1]))
#print "b0.r2 = " + str(numpy.dot(base[0], ref[2]))
#print "b1.r0 = " + str(numpy.dot(base[1], ref[0]))
#print "b1.r1 = " + str(numpy.dot(base[1], ref[1]))
#print "b1.r2 = " + str(numpy.dot(base[1], ref[2]))
#print "b2.r0 = " + str(numpy.dot(base[2], ref[0]))
#print "b2.r1 = " + str(numpy.dot(base[2], ref[1]))
#print "b2.r2 = " + str(numpy.dot(base[2], ref[2]))
if (use_new_definition):
helix = math.atan2(numpy.dot(base[0], ref[1]), numpy.dot(base[1], ref[1]))
#print "helix = " + str(helix) + " = " + str(helix*180/math.pi)
#assert (numpy.isclose(math.atan2(-numpy.dot(base[1], ref[0]), numpy.dot(base[0], ref[0])), helix, atol=1e-3)),\
#"atan2(-b1 . r0, b0 . r0) = " + str(math.atan2(-numpy.dot(base[1], ref[0]), numpy.dot(base[0], ref[0]))) + " ≠ helix. Aborting."
#helix = (helix+math.pi/2)%math.pi - math.pi/2
#print "helix = " + str(helix) + " = " + str(helix*180/math.pi)
C = math.cos(helix)
S = math.sin(helix)
R_helix = numpy.array([[ C, S, 0],\
[-S, C, 0],\
[ 0, 0, 1]])
base = numpy.dot(numpy.transpose(R_helix), base)
#print base
if (numpy.dot(base[0], ref[0]) < 0):
R_helix = numpy.array([[-1, 0, 0],\
[ 0, -1, 0],\
[ 0, 0, 1]])
base = numpy.dot(numpy.transpose(R_helix), base)
else:
helix = math.atan2(-numpy.dot(base[0], ref[2]), numpy.dot(base[2], ref[2]))
#print "helix = " + str(helix) + " = " + str(helix*180/math.pi)
#assert (numpy.isclose(math.atan2(numpy.dot(base[2], ref[0]), numpy.dot(base[0], ref[0])), helix, atol=1e-3)),\
#"atan2(-b2 . r0, b0 . r0) = " + str(math.atan2(-numpy.dot(base[2], ref[0]), numpy.dot(base[0], ref[0]))) + " ≠ helix. Aborting."
#helix = (helix+math.pi/2)%math.pi - math.pi/2
#print "helix = " + str(helix) + " = " + str(helix*180/math.pi)
C = math.cos(helix)
S = math.sin(helix)
R_helix = numpy.array([[ C, 0,-S],\
[ 0, 1, 0],\
[ S, 0, C]])
base = numpy.dot(numpy.transpose(R_helix), base)
#print base
if (numpy.dot(base[0], ref[0]) < 0):
R_helix = numpy.array([[-1, 0, 0],\
[ 0, 1, 0],\
[ 0, 0, -1]])
base = numpy.dot(numpy.transpose(R_helix), base)
#print "b0.r0 = " + str(numpy.dot(base[0], ref[0]))
#print "b0.r1 = " + str(numpy.dot(base[0], ref[1]))
#print "b0.r2 = " + str(numpy.dot(base[0], ref[2]))
#print "b1.r0 = " + str(numpy.dot(base[1], ref[0]))
#print "b1.r1 = " + str(numpy.dot(base[1], ref[1]))
#print "b1.r2 = " + str(numpy.dot(base[1], ref[2]))
#print "b2.r0 = " + str(numpy.dot(base[2], ref[0]))
#print "b2.r1 = " + str(numpy.dot(base[2], ref[1]))
#print "b2.r2 = " + str(numpy.dot(base[2], ref[2]))
assert (round(numpy.dot(base[0],ref[0]),1) == 1.0),\
"b0.r0 = " + str(numpy.dot(base[0],ref[0])) + " ≠ 1. Aborting."
assert (round(numpy.dot(base[1],ref[1]),1) == 1.0),\
"b1.r1 = " + str(numpy.dot(base[1],ref[1])) + " ≠ 1. Aborting."
assert (round(numpy.dot(base[2],ref[2]),1) == 1.0),\
"b2.r2 = " + str(numpy.dot(base[2],ref[2])) + " ≠ 1. Aborting."
helix = (helix+math.pi/2)%math.pi - math.pi/2
trans = (trans+math.pi/2)%math.pi - math.pi/2
sheet = (sheet+math.pi/2)%math.pi - math.pi/2
helix *= 180/math.pi
trans *= 180/math.pi
sheet *= 180/math.pi
farray_angle_helix.InsertTuple(k_tuple, [helix])
farray_angle_trans.InsertTuple(k_tuple, [trans])
farray_angle_sheet.InsertTuple(k_tuple, [sheet])
return (farray_angle_helix,
farray_angle_trans,
farray_angle_sheet)
def addStrainsFromDeformationGradients(
mesh,
defo_grad_array_name="DeformationGradient",
strain_array_name="Strain",
mesh_w_local_basis=None,
verbose=0):
mypy.my_print(verbose, "*** addStrainsFromDeformationGradients ***")
assert (mesh.GetCellData().HasArray(defo_grad_array_name))
farray_f = mesh.GetCellData().GetArray(defo_grad_array_name)
n_cells = mesh.GetNumberOfCells()
if (mesh_w_local_basis is not None):
farray_strain = myvtk.createFloatArray(name=strain_array_name + "_CAR",
n_components=6,
n_tuples=n_cells)
else:
farray_strain = myvtk.createFloatArray(name=strain_array_name,
n_components=6,
n_tuples=n_cells)
mesh.GetCellData().AddArray(farray_strain)
I = numpy.eye(3)
E_vec = numpy.empty(6)
#e_vec = numpy.empty(6)
for k_cell in range(n_cells):
F = numpy.reshape(farray_f.GetTuple(k_cell), (3, 3), order="C")
C = numpy.dot(numpy.transpose(F), F)
E = (C - I) / 2
mypy.mat_sym33_to_vec_col6(E, E_vec)
farray_strain.SetTuple(k_cell, E_vec)
#if (add_almansi_strain):
#Finv = numpy.linalg.inv(F)
#c = numpy.dot(numpy.transpose(Finv), Finv)
#e = (I - c)/2
#mypy.mat_sym33_to_vec_col6(e, e_vec)
#farray_almansi.SetTuple(k_cell, e_vec)
if (mesh_w_local_basis is not None):
if (mesh_w_local_basis.GetCellData().HasArray("eR"))\
and (mesh_w_local_basis.GetCellData().HasArray("eC"))\
and (mesh_w_local_basis.GetCellData().HasArray("eL")):
farray_strain_cyl = myvtk.rotateMatrixArray(
old_array=mesh.GetCellData().GetArray(strain_array_name +
"_CAR"),
out_vecs=[
mesh_w_local_basis.GetCellData().GetArray("eR"),
mesh_w_local_basis.GetCellData().GetArray("eC"),
mesh_w_local_basis.GetCellData().GetArray("eL")
],
verbose=0)
farray_strain_cyl.SetName(strain_array_name + "_CYL")
mesh.GetCellData().AddArray(farray_strain_cyl)
if (mesh_w_local_basis.GetCellData().HasArray("eRR"))\
and (mesh_w_local_basis.GetCellData().HasArray("eCC"))\
and (mesh_w_local_basis.GetCellData().HasArray("eLL")):
farray_strain_pps = myvtk.rotateMatrixArray(
old_array=mesh.GetCellData().GetArray(strain_array_name +
"_CAR"),
out_vecs=[
mesh_w_local_basis.GetCellData().GetArray("eRR"),
mesh_w_local_basis.GetCellData().GetArray("eCC"),
mesh_w_local_basis.GetCellData().GetArray("eLL")
],
verbose=0)
farray_strain_pps.SetName(strain_array_name + "_PPS")
mesh.GetCellData().AddArray(farray_strain_pps)
def computeCylindricalCoordinatesAndBasis(
points,
points_AB,
verbose=0):
myVTK.myPrint(verbose, "*** computeCylindricalCoordinatesAndBasis ***")
assert (points_AB.GetNumberOfPoints() >= 2), "points_AB must have at least two points. Aborting."
point_A = numpy.empty(3)
point_B = numpy.empty(3)
points_AB.GetPoint( 0, point_A)
points_AB.GetPoint(points_AB.GetNumberOfPoints()-1, point_B)
eL = point_B - point_A
eL /= numpy.linalg.norm(eL)
if (verbose >= 2): print "eL =", eL
point_C = point_A+numpy.array([1.,0.,0.])
#point_C = numpy.empty(3)
#points.GetPoint(0, point_C)
AC = point_C - point_A
AD = numpy.cross(eL, AC)
AD /= numpy.linalg.norm(AD)
AC = numpy.cross(AD, eL)
n_points = points.GetNumberOfPoints()
farray_r = myVTK.createFloatArray("r", 1, n_points)
farray_c = myVTK.createFloatArray("c", 1, n_points)
farray_l = myVTK.createFloatArray("l", 1, n_points)
farray_eR = myVTK.createFloatArray("eR", 3, n_points)
farray_eC = myVTK.createFloatArray("eC", 3, n_points)
farray_eL = myVTK.createFloatArray("eL", 3, n_points)
point = numpy.empty(3)
for k_point in xrange(n_points):
if (verbose >= 2): print "k_point =", k_point
points.GetPoint(k_point, point)
if (verbose >= 2): print "point =", point
eR = point - point_A
eC = numpy.cross(eL, eR)
eC /= numpy.linalg.norm(eC)
eR = numpy.cross(eC, eL)
farray_eR.SetTuple(k_point, eR)
farray_eC.SetTuple(k_point, eC)
farray_eL.SetTuple(k_point, eL)
r = numpy.dot(point - point_A, eR)
farray_r.SetTuple1(k_point, r)
c = math.atan2(numpy.dot(eR, AD), numpy.dot(eR, AC))
c += (c<0.)*(2*math.pi)
farray_c.SetTuple1(k_point, c)
l = numpy.dot(point - point_A, eL)
farray_l.SetTuple1(k_point, l)
return (farray_r,
farray_c,
farray_l,
farray_eR,
farray_eC,
farray_eL)
def computePrincipalDirections(
field,
field_storage="vec",
orient=0,
farray_eRR=None,
farray_eCC=None,
farray_eLL=None,
verbose=0):
myVTK.myPrint(verbose, "*** computePrincipalDirections ***")
if (field_storage == "vec"):
assert (field.GetNumberOfComponents() == 6), "Wrong numpber of components ("+str(field.GetNumberOfComponents())+"). Aborting."
elif (field_storage == "Cmat"):
assert (field.GetNumberOfComponents() == 9), "Wrong numpber of components ("+str(field.GetNumberOfComponents())+"). Aborting."
elif (field_storage == "Fmat"):
assert (field.GetNumberOfComponents() == 9), "Wrong numpber of components ("+str(field.GetNumberOfComponents())+"). Aborting."
else:
assert (0), "Wrong storage (field_storage="+str(field_storage)+"). Aborting."
n_tuples = field.GetNumberOfTuples()
farray_Lmin = myVTK.createFloatArray('Lmin', 1, n_tuples)
farray_Lmid = myVTK.createFloatArray('Lmid', 1, n_tuples)
farray_Lmax = myVTK.createFloatArray('Lmax', 1, n_tuples)
farray_Vmin = myVTK.createFloatArray('Vmin', 3, n_tuples)
farray_Vmid = myVTK.createFloatArray('Vmid', 3, n_tuples)
farray_Vmax = myVTK.createFloatArray('Vmax', 3, n_tuples)
mat = numpy.empty((3,3))
if (field_storage == "vec"):
vec = numpy.empty(6)
elif (field_storage == "Cmat"):
vec = numpy.empty(9)
elif (field_storage == "Fmat"):
vec = numpy.empty(9)
if (orient):
eCC = numpy.empty(3)
eLL = numpy.empty(3)
for k_tuple in xrange(n_tuples):
#print "k_tuple: "+str(k_tuple)
field.GetTuple(k_tuple, vec)
if (field_storage == "vec"):
vec_col6_to_mat_sym33(vec, mat)
elif (field_storage == "Cmat"):
cvec9_to_mat33(vec, mat)
elif (field_storage == "Fmat"):
fvec9_to_mat33(vec, mat)
if (numpy.linalg.norm(mat) > 1e-6):
#if (verbose): print + 'k_tuple =', k_tuple
vals, vecs = numpy.linalg.eig(mat)
#if (verbose): print + 'vals =', vals
#if (verbose): print + 'vecs =', vecs
#if (verbose): print + 'det =', numpy.linalg.det(vecs)
idx = vals.argsort()
vals = vals[idx]
vecs = vecs[:,idx]
#if (verbose): print + 'vals =', vals
#if (verbose): print + 'vecs =', vecs
#if (verbose): print + 'det =', numpy.linalg.det(vecs)
mat_Lmin = vals[0]
mat_Lmid = vals[1]
mat_Lmax = vals[2]
mat_Vmax = vecs[:,2]
mat_Vmid = vecs[:,1]
if (orient):
farray_eCC.GetTuple(k_tuple, eCC)
farray_eLL.GetTuple(k_tuple, eLL)
mat_Vmax = math.copysign(1, numpy.dot(mat_Vmax, eCC)) * mat_Vmax
mat_Vmid = math.copysign(1, numpy.dot(mat_Vmid, eLL)) * mat_Vmid
mat_Vmin = numpy.cross(mat_Vmax, mat_Vmid)
else:
mat_Lmin = 0.
mat_Lmid = 0.
mat_Lmax = 0.
mat_Vmin = [0.]*3
mat_Vmid = [0.]*3
mat_Vmax = [0.]*3
farray_Lmin.SetTuple1(k_tuple, mat_Lmin)
farray_Lmid.SetTuple1(k_tuple, mat_Lmid)
farray_Lmax.SetTuple1(k_tuple, mat_Lmax)
farray_Vmin.SetTuple(k_tuple, mat_Vmin)
farray_Vmid.SetTuple(k_tuple, mat_Vmid)
farray_Vmax.SetTuple(k_tuple, mat_Vmax)
return (farray_Lmin,
farray_Lmid,
farray_Lmax,
farray_Vmin,
farray_Vmid,
farray_Vmax)