Skip to content
Open
Changes from all commits
Commits
File filter

Filter by extension

Filter by extension

Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
51 changes: 23 additions & 28 deletions python/adaptivity.py.in
Original file line number Diff line number Diff line change
Expand Up @@ -115,7 +115,7 @@ def edge_lengths(M):

return e

def polyhedron_surfmesh(mesh):
def polyhedron_surfmesh(mesh, tol=1e-12):
#this function calculates a surface mesh assuming a polyhedral geometry, i.e. not suitable for
#curved geometries and the output will have to be modified for problems colinear faces.
#a surface mesh is required for the adaptation, so this function is called, if no surface mesh
Expand All @@ -142,7 +142,7 @@ def polyhedron_surfmesh(mesh):
tri[3],tri[2],tri[1],tri[0]]).reshape([3,ntri*4])
#putting large node number in later row, smaller in first
C = fac.argsort(0)
Cgood = (C[0,:] == 0)*(C[0,:] == 1)+(C[1,:] == 1)*(C[0,:] == 2)+(C[1,:] == 2)*(C[0,:] == 0)
Cgood = (C[0,:] == 0)*(C[1,:] == 1)+(C[0,:] == 1)*(C[1,:] == 2)+(C[0,:] == 2)*(C[1,:] == 0)
Cinv = Cgood==False
R = arange(ntri*4)
fac = fac.transpose().flatten()
Expand All @@ -169,26 +169,23 @@ def polyhedron_surfmesh(mesh):
n = n/numpy.sqrt(n[:,0]**2+n[:,1]**2+n[:,2]**2).repeat(3).reshape([len(n),3])
# compute sets of co-linear faces (this is specific to polyhedral geometries)
IDs = zeros(len(n), dtype = numpy.intc)
while True:
nn = IDs.argmin()
IDs[nn] = IDs.max() + 1
I = arange(0,len(IDs))
notnset = I != nn * ones(len(I),dtype=numpy.int64)
dists = abs(n[notnset,0]*(coords[bfaces[notnset,0],0] - ones(sum(notnset))*coords[bfaces[nn,0],0])+\
n[notnset,1]*(coords[bfaces[notnset,0],1] - ones(sum(notnset))*coords[bfaces[nn,0],1])+\
n[notnset,2]*(coords[bfaces[notnset,0],2] - ones(sum(notnset))*coords[bfaces[nn,0],2])) < 1e-12
angles = ones(sum(notnset))-abs(n[notnset,0]*n[nn,0]+n[notnset,1]*n[nn,1]+n[notnset,2]*n[nn,2])<1e-12 # angles = arccos(abs(t[notnset,0]*t[n,0]+t[notnset,1]*t[n,1]))<1e-12
IDs[I[notnset][angles*dists]] = IDs[nn]
if all(IDs != zeros(len(IDs),dtype=numpy.int64)):
info("Found %i co-linear faces" % IDs.max())
break

I = numpy.argsort(array(zip(n[:,0],n[:,1],n[:,2]),dtype=[('e1',int),('e2',int),('e3',int)]),order=['e1','e2','e3'])
n = n[I,:]; bfaces = bfaces[I,:]
dists = abs((n*coords[bfaces[:,0],:]).sum(1))
jmp = array([True] + ((abs(n[0:-1,0] - n[1:len(n),0]) > tol) | \
(abs(n[0:-1,1] - n[1:len(n),1]) > tol) | \
(abs(n[0:-1,2] - n[1:len(n),2]) > tol) | \
(abs(dists[0:-1] - dists[1:len(n)]) > tol)).tolist())
log(PROGRESS, "Found %i co-linear faces" % jmp.sum())
IDs[:] = jmp.cumsum()

#compatibility fixes
IDs += 1
bfaces_pair = zip(bfaces[:,0],bfaces[:,1],bfaces[:,2])
return [bfaces,IDs]

def polygon_surfmesh(mesh):
def polygon_surfmesh(mesh, tol=1e-12):
#calculates a surface mesh assuming a polygonal geometry, i.e. not suitable for
#curved geometries and the output will have to be modified for problems with colinear faces.
#a surface mesh is required for the adaptation, so this function is called, if no surface mesh
Expand Down Expand Up @@ -231,18 +228,16 @@ def polygon_surfmesh(mesh):
t = t/numpy.sqrt(t[:,0]**2+t[:,1]**2).repeat(2).reshape([len(t),2])
# compute sets of co-linear edges (this is specific to polygonal geometries)
IDs = zeros(len(t), dtype = numpy.intc)
while True:
n = IDs.argmin()
IDs[n] = IDs.max() + 1
I = arange(0,len(IDs))
notnset = I != n * ones(len(I),dtype=numpy.int64)
dists = abs(t[notnset,1]*(coords[bfaces[notnset,0],0] - ones(sum(notnset))*coords[bfaces[n,0],0])-\
t[notnset,0]*(coords[bfaces[notnset,0],1] - ones(sum(notnset))*coords[bfaces[n,0],1])) < 1e-12
angles = ones(sum(notnset))-abs(t[notnset,0]*t[n,0]+t[notnset,1]*t[n,1])<1e-12 # angles = arccos(abs(t[notnset,0]*t[n,0]+t[notnset,1]*t[n,1]))<1e-12
IDs[I[notnset][angles*dists]] = IDs[n]
if all(IDs != zeros(len(IDs),dtype=numpy.int64)):
info("Found %i co-linear edges" % IDs.max())
break

I = numpy.argsort(array(zip(t[:,0],t[:,1]),dtype=[('e1',int),('e2',int)]),order=['e1','e2'])
t = t[I,:]; bfaces = bfaces[I,:]
dists = abs((t[:,1::-1]*coords[bfaces[:,0],:]).sum(1))
jmp = array([True] + ((abs(t[0:-1,0] - t[1:len(t),0]) > tol) | \
(abs(t[0:-1,1] - t[1:len(t),1]) > tol) | \
(abs(dists[0:-1] - dists[1:len(t)]) > tol)).tolist())
log(PROGRESS, "Found %i co-linear edges" % jmp.sum())
IDs[:] = jmp.cumsum()

#compatibility fixes
IDs += 1
#bfaces_pair = zip(bfaces[:,0],bfaces[:,1])
Expand Down