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computeCylindricalCoordinatesAndBasis.py
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#coding=utf8
########################################################################
### ###
### Created by Martin Genet, 2012-2016 ###
### ###
### University of California at San Francisco (UCSF), USA ###
### Swiss Federal Institute of Technology (ETH), Zurich, Switzerland ###
### École Polytechnique, Palaiseau, France ###
### ###
########################################################################
import math
import numpy
import myVTKPythonLibrary as myVTK
########################################################################
def computeCylindricalCoordinatesAndBasis(
points,
points_AB,
verbose=1):
myVTK.myPrint(verbose, "*** computeCylindricalCoordinatesAndBasis ***")
assert (points_AB.GetNumberOfPoints() >= 2), "points_AB must have at least two points. Aborting."
point_A = points_AB.GetPoint( 0)
point_B = points_AB.GetPoint(points_AB.GetNumberOfPoints()-1)
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.array(points.GetPoint(0))
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)
for k_point in xrange(n_points):
if (verbose >= 2): print "k_point =", k_point
point = points.GetPoint(k_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 addCylindricalCoordinatesAndBasis(
ugrid,
points_AB,
verbose=1):
myVTK.myPrint(verbose, "*** addCylindricalCoordinatesAndBasis ***")
points = ugrid.GetPoints()
(farray_r,
farray_c,
farray_l,
farray_eR,
farray_eC,
farray_eL) = computeCylindricalCoordinatesAndBasis(
points=points,
points_AB=points_AB,
verbose=verbose-1)
ugrid.GetPointData().AddArray(farray_r)
ugrid.GetPointData().AddArray(farray_c)
ugrid.GetPointData().AddArray(farray_l)
ugrid.GetPointData().AddArray(farray_eR)
ugrid.GetPointData().AddArray(farray_eC)
ugrid.GetPointData().AddArray(farray_eL)
cell_centers = myVTK.getCellCenters(
mesh=ugrid,
verbose=verbose-1)
(farray_r,
farray_c,
farray_l,
farray_eR,
farray_eC,
farray_eL) = computeCylindricalCoordinatesAndBasis(
points=cell_centers,
points_AB=points_AB,
verbose=verbose-1)
ugrid.GetCellData().AddArray(farray_r)
ugrid.GetCellData().AddArray(farray_c)
ugrid.GetCellData().AddArray(farray_l)
ugrid.GetCellData().AddArray(farray_eR)
ugrid.GetCellData().AddArray(farray_eC)
ugrid.GetCellData().AddArray(farray_eL)