def testNorm1(self):
'''test Norm1.'''
example = ( ( a( [1,1,1] ), 1 ) ,
( a( [[1,3,4],[2,-2,1]] ), a( [4,2] ))
)
for x,y in example:
rslt = Band.norm1(x)
npt.assert_allclose(rslt, y)
comm = MPI.COMM_WORLD
vsize = points.shape[0]
vAssigned = vsize // comm.size + int(comm.rank < (vsize % comm.size))
vstart = comm.exscan(vAssigned)
if comm.rank == 0:
vstart = 0
for MBlock in MBlocklist:
opt = {'M':MBlock,'m':5,'d':2}
surface = Sphere(center=sp.array([0.0, 0.0]))
band = Band(surface,comm,opt)
la,lv,gv,wv = band.createGLVectors()
v = band.getCoordinates()
dt = 0.1*band.dx**2
vv = sp.array([[0,0],[1,0],[-1,0],[0,1],[0,-1]])
weights = sp.array([-4,1,1,1,1])*(dt/band.dx**2)
L = band.createAnyMat(vv, weights, (5,2))
PETSc.Sys.Print('Laplacian')
M = band.createExtensionMat()
PETSc.Sys.Print('ExtensionMat built')
band.initialu(initialu)
PETSc.Sys.Print('Initial')
nextt = 0.1
return sp.ones(cp.shape[0])#cp[:,0]
def initialu(cp):
return cp[:,0]
def plot3d(x,c,title = 'band'):
# z = c-c.min()
# z /= z.max()
pl.figure()
pl.points3d(x[:,0],x[:,1],x[:,2],c,mode='point')
if __name__ == '__main__':
opt = {'M':50,'m':10,'d':3}
surface = MeshWrapper()
pl.triangular_mesh(surface.v[:,0],surface.v[:,1],surface.v[:,2],surface.f,opacity = 0.2)
comm = MPI.COMM_WORLD
band = Band(surface,comm,opt)
la,lv,gv,wv = band.createGLVectors()
v = band.getCoordinates()
dt = 0.3*band.dx**2
vv = sp.array([[0,0,0],[1,0,0],[-1,0,0],[0,1,0],[0,-1,0],[0,0,1],[0,0,-1]])
weights = sp.array([-6,1,1,1,1,1,1])*(dt/band.dx**2)
L = band.createAnyMat(vv, weights, (7,3))
PETSc.Sys.Print('Laplacian')
band.test_initialu(test_initialu)
L.mult(gv,wv)
c = wv.getArray()
# wv.view()
plot3d(v,c,title='Lu')
# wv.view()
M = band.createExtensionMat()
points = sp.column_stack((sp.cos(l), sp.sin(l)))
exactu = sp.cos(l)
comm = MPI.COMM_WORLD
vsize = points.shape[0]
vAssigned = vsize // comm.size + int(comm.rank < (vsize % comm.size))
vstart = comm.exscan(vAssigned)
if comm.rank == 0:
vstart = 0
for MBlock in MBlocklist:
opt = {'M': MBlock, 'm': 5, 'd': 2}
surface = Sphere(center=sp.array([0.0, 0.0]))
band = Band(surface, comm, opt)
la, lv, gv, wv = band.createGLVectors()
v = band.getCoordinates()
dt = 0.1 * band.dx**2
vv = sp.array([[0, 0], [1, 0], [-1, 0], [0, 1], [0, -1]])
weights = sp.array([-4, 1, 1, 1, 1]) * (dt / band.dx**2)
L = band.createAnyMat(vv, weights, (5, 2))
PETSc.Sys.Print('Laplacian')
M = band.createExtensionMat()
PETSc.Sys.Print('ExtensionMat built')
band.initialu(initialu)
PETSc.Sys.Print('Initial')
nextt = 0.1
PETSc.Sys.Print('Begin to solve')
def outputBin(gv):
cv = band.toZeroStatic(gv)
if comm.rank == 0:
viewer = PETSc.Viewer().createBinary('gv.dat',mode='w',comm = MPI.COMM_SELF)
cv.view(viewer)
if __name__ == '__main__':
opt = {'M':100,'m':5,'d':3}
try:
surface = MeshWrapper('eight.ply')
#surface = MeshWrapper('eight_refined.ply')
except IOError:
surface = MeshWrapper('cp/tests/data/eight.ply')
#surface = MeshWrapper('cp/tests/data/eight_refined.ply')
comm = MPI.COMM_WORLD
band = Band(surface,comm,opt)
la,lv,gv,wv = band.createGLVectors()
v = band.getCoordinates()
centers = band.BlockInd2CenterCarWithoutBand(band.gindBlockWBand.getArray())
dt = 0.1*band.dx**2
vv = sp.array([[0,0,0],[1,0,0],[-1,0,0],[0,1,0],[0,-1,0],[0,0,1],[0,0,-1]])
weights = sp.array([-6,1,1,1,1,1,1])*(dt/band.dx**2)
L = band.createAnyMat(vv, weights, (7,3))
PETSc.Sys.Print('Laplacian')
M = band.createExtensionMatForLoop()
band.initialu(initialu)
PETSc.Sys.Print('Initial')
plot3d_total(v,gv)
nextt = 0.01
PETSc.Sys.Print('Begin to solve.\n dt is {0}'.format(dt))
def setUp(self):
self.comm = MPI.COMM_WORLD
surface = Surface()
self.bnd = Band(surface,self.comm)
self.bnd.createGLVectors()
class TestBand(unittest.TestCase):
def setUp(self):
self.comm = MPI.COMM_WORLD
surface = Surface()
self.bnd = Band(surface,self.comm)
self.bnd.createGLVectors()
def tearDown(self):
pass
def testBlockInd2SubWithoutBand(self):
'''test BlockInd2SubWithoutBand'''
if 1 == 1:return
example = ( (5, a([5,0,0]) ),
(21,a([1,1,0]) ),
(a([401,402]),a([[1,0,1],[2,0,1]])) )
for ind,sub in example:
result = self.bnd.BlockInd2SubWithoutBand(ind)
npt.assert_array_equal(result,sub,'{0} is wrong '.format(ind))
ExceptionExample = (10000,8000)
for i in ExceptionExample:
self.assertRaises(exceptions.IndexError, self.bnd.BlockInd2SubWithoutBand,i)
def testBlockSub2CenterCarWithoutBand(self):
'''test BlockSub2CenterCarWithoutBand'''
if 1 == 1: return
example = ( ( 0, a([-1.9,-1.9,-1.9])),
( 1, a([-1.7,-1.9,-1.9])) )
for ind,right in example:
sub = self.bnd.BlockInd2SubWithoutBand(ind)
rslt = self.bnd.BlockSub2CenterCarWithoutBand(sub)
npt.assert_array_equal(rslt, right)
@attr(visual=1)
def testVisually(self):
'''blocks selected visually.'''
# if self.comm.rank == 0:
g2z,zvec = PETSc.Scatter().toZero(self.bnd.gindBlockWBand)
g2z.scatter(self.bnd.gindBlockWBand,zvec, PETSc.InsertMode.INSERT)
x = self.bnd.BlockSub2CenterCarWithoutBand(\
self.bnd.BlockInd2SubWithoutBand(zvec.getArray()) )
lx = self.bnd.BlockSub2CenterCarWithoutBand(\
self.bnd.BlockInd2SubWithoutBand(self.bnd.gindBlockWBand.getArray()))
try:
try:
from mayavi import mlab
except ImportError:
from enthought.mayavi import mlab
if self.comm.rank == 0:
mlab.figure()
mlab.points3d(x[:,0],x[:,1],x[:,2])
mlab.figure()
mlab.points3d(lx[:,0],lx[:,1],lx[:,2])
mlab.show()
#fig.add(pts1)
#fig.add(pts2)
except ImportError:
import pylab as pl
from mpl_toolkits.mplot3d import Axes3D #@UnusedImport
fig = pl.figure()
ax = fig.add_subplot(111, projection='3d')
ax.scatter3D(x[:,0],x[:,1],x[:,2],c='blue',marker='o')
ax.scatter3D(lx[:,0],lx[:,1],lx[:,2],c='red',marker='D')
pl.savefig('testVis{0}.png'.format(self.comm.rank))
pl.show()
def testNorm1(self):
'''test Norm1.'''
example = ( ( a( [1,1,1] ), 1 ) ,
( a( [[1,3,4],[2,-2,1]] ), a( [4,2] ))
)
for x,y in example:
rslt = Band.norm1(x)
npt.assert_allclose(rslt, y)
def testgetCoordinatesWithGhost(self):
'''What the return values of this function look like.'''
#This test takes time.
if 1 == 1 :return
x = self.bnd.getCoordinatesWithGhost()
try:
from mayavi import mlab
mlab.figure()
mlab.points3d(x[:,0],x[:,1],x[:,2])
#fig.add(pts)
mlab.show()
except ImportError:
import pylab as pl
from mpl_toolkits.mplot3d import Axes3D #@UnusedImport
fig = pl.figure()
ax = fig.add_subplot(111, projection='3d')
ax.scatter3D(x[:,0],x[:,1],x[:,2])
pl.savefig('x{0}.png'.format(self.comm.rank))
pl.show()
def testgetCoordinates(self):
'''What the return values of this function look like.'''
#This test takes time.
if 1 == 1 :return
x = self.bnd.getCoordinates()
try:
from mayavi import mlab
mlab.figure()
mlab.points3d(x[:,0],x[:,1],x[:,2])
#fig.add(pts)
mlab.show()
except ImportError:
import pylab as pl
from mpl_toolkits.mplot3d import Axes3D #@UnusedImport
fig = pl.figure()
ax = fig.add_subplot(111, projection='3d')
ax.scatter3D(x[:,0],x[:,1],x[:,2])
pl.savefig('x{0}.png'.format(self.comm.rank))
pl.show()
def testBuildExtMat(self):
self.bnd.createExtensionMat()
def testCreateAnyMat(self):
v = a([[0,0,0],[1,0,0],[-1,0,0],[0,1,0],[0,-1,0],[0,0,1],[0,0,-1]])
weights = a([-6,1,1,1,1,1,1])
self.bnd.createAnyMat(v, weights, (7,3))
return cp[:, 0]
def plot3d(x, c, title="band"):
# z = c-c.min()
# z /= z.max()
pl.figure()
pl.points3d(x[:, 0], x[:, 1], x[:, 2], c, mode="point")
if __name__ == "__main__":
opt = {"M": 50, "m": 10, "d": 3}
surface = MeshWrapper()
pl.triangular_mesh(surface.v[:, 0], surface.v[:, 1], surface.v[:, 2], surface.f, opacity=0.2)
comm = MPI.COMM_WORLD
band = Band(surface, comm, opt)
la, lv, gv, wv = band.createGLVectors()
v = band.getCoordinates()
dt = 0.3 * band.dx ** 2
vv = sp.array([[0, 0, 0], [1, 0, 0], [-1, 0, 0], [0, 1, 0], [0, -1, 0], [0, 0, 1], [0, 0, -1]])
weights = sp.array([-6, 1, 1, 1, 1, 1, 1]) * (dt / band.dx ** 2)
L = band.createAnyMat(vv, weights, (7, 3))
PETSc.Sys.Print("Laplacian")
band.test_initialu(test_initialu)
L.mult(gv, wv)
c = wv.getArray()
# wv.view()
plot3d(v, c, title="Lu")
# wv.view()
M = band.createExtensionMat()
pl.figure(bgcolor=(1, 1, 1), fgcolor=(0.5, 0.5, 0.5))
pl.triangular_mesh(x[:, 0], x[:, 1], x[:, 2], f, scalars=v2)
if __name__ == '__main__':
opt = {'M': 80, 'm': 5, 'd': 3}
surface = MeshWrapper('eight.ply')
pl.figure(bgcolor=(1, 1, 1), fgcolor=(0.5, 0.5, 0.5))
pl.triangular_mesh(surface.v[:, 0],
surface.v[:, 1],
surface.v[:, 2],
surface.f,
scalars=surface.v[:, 0],
opacity=0.5)
comm = MPI.COMM_WORLD
band = Band(surface, comm, opt)
la, lv, gv, wv = band.createGLVectors()
v = band.getCoordinates()
centers = band.BlockInd2CenterCarWithoutBand(
band.gindBlockWBand.getArray())
pl.points3d(centers[:, 0], centers[:, 1], centers[:, 2], mode='point')
dt = 0.1 * band.dx**2
vv = sp.array([[0, 0, 0], [1, 0, 0], [-1, 0, 0], [0, 1, 0], [0, -1, 0],
[0, 0, 1], [0, 0, -1]])
weights = sp.array([-6, 1, 1, 1, 1, 1, 1]) * (dt / band.dx**2)
L = band.createAnyMat(vv, weights, (7, 3))
PETSc.Sys.Print('Laplacian')
M = band.createExtensionMatForLoop()
band.initialu(initialu)
