def test_CartesianTransformation3D(self):
dom=Brick(NE,NE,NE, l0=10, l1=10, l2=10)
cs=CartesianReferenceSystem()
tf=cs.createTransformation(dom)
self.assertEqual(tf.getReferenceSystem(),cs , "wrong reference")
self.assertEqual(tf.getDomain(),dom , "wrong reference")
self.assertTrue(tf.isCartesian(), "wrong isCartesian check")
v=tf.getVolumeFactor()
self.assertTrue(isinstance(v, esys.escript.Data), "wrong volume factor type")
self.assertEqual(v.getFunctionSpace(), esys.escript.Function(dom), "wrong volume factor type")
error=Lsup(v-1.)
self.assertTrue(error<=RTOL, "volume factor")
s=tf.getScalingFactors()
self.assertTrue(isinstance(s, esys.escript.Data), "scaling factor type")
self.assertEqual(s.getShape(), (dom.getDim(),), "scaling factor length")
self.assertEqual(s.getFunctionSpace(), esys.escript.Function(dom), "wrong 0-th scaling factor type")
error=Lsup(s[0]-1.)
self.assertTrue(error<=RTOL, "0-th scaling factor")
error=Lsup(s[1]-1.)
self.assertTrue(error<=RTOL, "1-th scaling factor")
error=Lsup(s[2]-1.)
self.assertTrue(error<=RTOL, "2-th scaling factor")
def setUp(self):
self.domain = Brick(n0=NE0 * NXb - 1,
n1=NE1 * NYb - 1,
n2=NE2 * NZb - 1,
d0=NXb,
d1=NYb,
d2=NZb)
self.package = SolverOptions.MKL
self.method = SolverOptions.DIRECT
def __createDomain(self):
"""
Creates and returns an escript domain that spans the entire area of
available data plus a padding zone. This method is called only once
the first time `getDomain()` is invoked.
:return: The escript domain
:rtype: `esys.escript.Domain`
"""
X0, NX, DX = self.__getTotalExtentsWithPadding()
# number of domain elements
NE = NX + [self._v_num_cells]
# origin of domain
origin = X0 + [-self._v_depth*self.__v_scale]
if self.getReferenceSystem().isCartesian():
# rounding will give us about meter-accuracy with UTM coordinates
self._dom_origin = [np.floor(oi) for oi in origin]
else:
# this should give us about meter-accuracy with lat/lon coords
self._dom_origin = [1e-5*np.floor(oi*1e5) for oi in origin]
# cell size / point spacing
spacing = DX + [self.__v_scale*np.floor((self._v_depth+self._v_air_layer)/self._v_num_cells)]
#self._spacing = [float(np.floor(si)) for si in spacing]
self._spacing = spacing
lo=[(self._dom_origin[i], self._dom_origin[i]+NE[i]*self._spacing[i]) for i in range(self.__dim)]
if self.__dim==3:
dom=Brick(*NE, l0=lo[0], l1=lo[1], l2=lo[2])
else:
dom=Rectangle(*NE, l0=lo[0], l1=lo[1])
# ripley may internally adjust NE and length, so recompute
self._dom_len=[sup(dom.getX()[i])-inf(dom.getX()[i]) for i in range(self.__dim)]
self._dom_NE=[int(self._dom_len[i]/self._spacing[i]) for i in range(self.__dim)]
self.logger.debug("Domain size: "+str(self._dom_NE))
self.logger.debug(" length: "+str(self._dom_len))
self.logger.debug(" origin: "+str(self._dom_origin))
return dom
def setUp(self):
self.domain = Brick(10,
10,
10,
l0=100.,
l1=100.,
l2=100.,
diracTags=["source"],
diracPoints=[(0, 0, 0)])
self.wavelet = Ricker(100.)
def setUp(self):
self.domain = Brick(n0=NE0 * NXb - 1,
n1=NE1 * NYb - 1,
n2=NE2 * NZb - 1,
d0=NXb,
d1=NYb,
d2=NZb)
self.package = SolverOptions.TRILINOS
self.method = SolverOptions.PCG
self.preconditioner = SolverOptions.ILUT
def setUp(self):
self.order = 1
self.domain = Brick(n0=NE * NXb - 1,
n1=NE * NYb - 1,
n2=NE * NZb - 1,
l0=1.,
l1=1.,
l2=1.,
d0=NXb,
d1=NYb,
d2=NZb)
def test_FillBrick(self):
# If we are going to do really big tests of this, the size of this brick will need to be reduced
fs = ContinuousFunction(Brick(10 * mpiSize, 10 * mpiSize,
10 * mpiSize))
RandomData((), fs, 2, ("gaussian", 1, 0.5))
RandomData((), fs, 0, ("gaussian", 2, 0.76))
self.assertRaises(NotImplementedError, RandomData, (2, 2), fs, 0,
("gaussian", 2, 0.76)) #data not scalar
self.assertRaises(ValueError, RandomData, (), fs, 0,
("gaussian", 20, 0.1)) #radius too large
RandomData((2, 3), fs)
def test_Creation(self):
r = self.numRanks
el = self.numRanks * 3 - 1
#test bad types
with self.assertRaises(TypeError):
Rectangle(5, el, d1=r, diracPoints=(.0, 0.), diracTags=["test"])
with self.assertRaises(TypeError):
Rectangle(5, el, d1=r, diracPoints=[(.0, 0.)], diracTags=("test"))
with self.assertRaises(TypeError):
Rectangle(5, el, d1=r, diracPoints=[.0], diracTags=["test"])
with self.assertRaises(TypeError):
Rectangle(5, el, d1=r, diracPoints=[.0, .0], diracTags=["test"])
with self.assertRaises(TypeError):
Brick(5, el, 5, d1=r, diracPoints=(.0, 0., 0.), diracTags=["test"])
with self.assertRaises(TypeError):
Brick(5,
el,
5,
d1=r,
diracPoints=[(.0, 0., 0.)],
diracTags=("test"))
with self.assertRaises(TypeError):
Brick(5, el, 5, d1=r, diracPoints=[.0, 0.], diracTags=["test"])
#test bad arg lengths
with self.assertRaises(RuntimeError):
Rectangle(5, el, d1=r, diracPoints=[(.0, )], diracTags=["test"])
with self.assertRaises(RuntimeError):
Rectangle(5, el, d1=r, diracPoints=[(.0, 1.)], diracTags=[])
with self.assertRaises(RuntimeError):
Rectangle(5,
el,
d1=r,
diracPoints=[(.0, 0.)],
diracTags=["test", "break"])
with self.assertRaises(RuntimeError):
Rectangle(5,
el,
d1=r,
diracPoints=[(.0, 0., 0.)],
diracTags=["test"])
with self.assertRaises(RuntimeError):
Brick(5,
el,
5,
d1=r,
diracPoints=[(.0, 0., 0., 0.)],
diracTags=["test"])
with self.assertRaises(RuntimeError):
Brick(5, el, 5, d1=r, diracPoints=[(
.0,
0.,
)], diracTags=["test"])
with self.assertRaises(RuntimeError):
Brick(5, el, 5, d1=r, diracPoints=[(.0, )], diracTags=["test"])
def test_SphericalTransformation3D(self):
dom=Brick(NE,NE,NE, l0=90, l1=45, l2=10.)
cs=SphericalReferenceSystem()
tf=cs.createTransformation(dom)
self.assertEqual(tf.getReferenceSystem(),cs , "wrong reference")
self.assertEqual(tf.getDomain(),dom , "wrong reference")
self.assertFalse(tf.isCartesian(), "wrong isCartesian check")
R=6378137.0
x=esys.escript.Function(dom).getX()
phi=(90.-x[1])/180.*pi
lam=x[0]/180.*pi
h=x[2]*1000.
r=h+R
v=tf.getVolumeFactor()
self.assertTrue(isinstance(v, esys.escript.Data), "wrong volume factor type")
self.assertEqual(v.getFunctionSpace(), esys.escript.Function(dom), "wrong volume factor type")
error=Lsup(v- r**2*sin(phi)*(pi/180.)**2*1000. )
self.assertTrue(error<=RTOL * R*R*(pi/180.)**2*1000., "volume factor")
s=tf.getScalingFactors()
self.assertTrue(isinstance(s, esys.escript.Data), "scaling factor type")
self.assertEqual(s.getShape(), (dom.getDim(),), "scaling factor length")
self.assertEqual(s.getFunctionSpace(), esys.escript.Function(dom), "wrong 0-th scaling factor type")
error=Lsup(s[1]-1/r/pi*180.)
self.assertTrue(error<=RTOL/R/pi*180., "0-th scaling factor")
error=Lsup(s[0]-1/(r*sin(phi))/pi*180.)
self.assertTrue(error<=RTOL/R/pi*180., "1-th scaling factor")
error=Lsup(s[2]-1./1000.)
self.assertTrue(error<=RTOL/1000., "2-th scaling factor")
def test_SphericalTransformation3D(self):
dom=Brick(NE,NE,NE, l0=90, l1=45, l2=10.)
cs=SphericalReferenceSystem()
tf=cs.createTransformation(dom)
self.assertEqual(tf.getReferenceSystem(),cs , "wrong reference")
self.assertEqual(tf.getDomain(),dom , "wrong reference")
self.assertFalse(tf.isCartesian(), "wrong isCartesian check")
R=6378137.0
x=esys.escript.Function(dom).getX()
phi=(90.-x[1])/180.*pi
lam=x[0]/180.*pi
h=x[2]*1000.
r=h+R
v=tf.getVolumeFactor()
self.assertTrue(isinstance(v, esys.escript.Data), "wrong volume factor type")
self.assertEqual(v.getFunctionSpace(), esys.escript.Function(dom), "wrong volume factor type")
error=Lsup(v- r**2*sin(phi)*(pi/180.)**2*1000. )
self.assertTrue(error<=RTOL * R*R*(pi/180.)**2*1000., "volume factor")
s=tf.getScalingFactors()
self.assertTrue(isinstance(s, esys.escript.Data), "scaling factor type")
self.assertEqual(s.getShape(), (dom.getDim(),), "scaling factor length")
self.assertEqual(s.getFunctionSpace(), esys.escript.Function(dom), "wrong 0-th scaling factor type")
error=Lsup(s[1]-1/r/pi*180.)
self.assertTrue(error<=RTOL/R/pi*180., "0-th scaling factor")
error=Lsup(s[0]-1/(r*sin(phi))/pi*180.)
self.assertTrue(error<=RTOL/R/pi*180., "1-th scaling factor")
error=Lsup(s[2]-1./1000.)
self.assertTrue(error<=RTOL/1000., "2-th scaling factor")
class TestGravityApp(unittest.TestCase):
xdim = 1000.
ydim = 1000.
zdim = 1000.
NEX = 100
NEZ = 100
TESTTOL = 1e-3
def setUp(self):
self.domain = Brick(self.NEX,
self.NEX,
self.NEZ,
l0=self.xdim,
l1=self.ydim,
l2=self.zdim)
def tearDown(self):
del self.domain
def test_pde_answer(self):
model = GravityModel(self.domain, fixBase=True)
x = self.domain.getX()
xmin = inf(x[0])
xmax = sup(x[0])
ymin = inf(x[1])
ymax = sup(x[1])
zmin = inf(x[2])
zmax = sup(x[2])
xp = 2. * np.pi / (xmax - xmin)
yp = 2. * np.pi / (ymax - ymin)
zp = 2. * np.pi / (zmax - zmin)
Dens = (xp**2 + yp**2 + zp**2) * cos(xp * x[0]) * cos(yp * x[1]) * sin(
zp * x[2]) / (4.0 * np.pi * U.Gravitational_Constant)
model.setDensity(Dens)
outdens = model.getDensity()
densdiff = abs(Dens - outdens)
self.assertLessEqual(sup(densdiff), self.TESTTOL)
actualanswer = -cos(xp * x[0]) * cos(yp * x[1]) * sin(zp * x[2])
abserror = abs(actualanswer - model.getGravityPotential())
biggesterror = sup(abserror)
self.assertLessEqual(biggesterror, self.TESTTOL)
gz = model.getzGravity()
actualgz = -zp * cos(xp * x[0]) * cos(yp * x[1]) * cos(zp * x[2])
errorgz = abs(gz - actualgz)
self.assertLessEqual(sup(errorgz), self.TESTTOL * 100.)
def setUp(self):
self.domain = Brick(n0=NE * NXb - 1,
n1=NE * NYb - 1,
n2=NE * NZb - 1,
l0=1.,
l1=1.,
l2=1.,
d0=NXb,
d1=NYb,
d2=NZb)
self.functionspaces = [
ContinuousFunction(self.domain),
Function(self.domain),
ReducedFunction(self.domain),
FunctionOnBoundary(self.domain),
ReducedFunctionOnBoundary(self.domain)
]
class TestMagneticApp3D(unittest.TestCase):
xdim = 1000.
ydim = 1000.
zdim = 1000.
NEX = 100
NEZ = 100
TESTTOL = 1e-3
def setUp(self):
self.domain = Brick(self.NEX,
self.NEX,
self.NEZ,
l0=self.xdim,
l1=self.ydim,
l2=self.zdim)
def tearDown(self):
del self.domain
def test_pde_answer(self):
model = MagneticModel3D(self.domain, fixVert=True)
x = self.domain.getX()
xmin = inf(x[0])
xmax = sup(x[0])
ymin = inf(x[1])
ymax = sup(x[1])
zmin = inf(x[2])
zmax = sup(x[2])
xp = 2. * np.pi / (xmax - xmin)
yp = 2. * np.pi / (ymax - ymin)
zp = 2. * np.pi / (zmax - zmin)
Bh = [1., 0., 0.]
k = ((xp**2 + yp**2 + zp**2) / xp) * cos(xp * x[0]) * sin(
yp * x[1]) * cos(zp * x[2])
model.setSusceptibility(k)
outk = model.getSusceptibility()
kdiff = abs(k - outk)
self.assertLessEqual(sup(kdiff), self.TESTTOL)
model.setBackgroundMagneticField(Bh)
actualanswer = sin(xp * x[0]) * sin(yp * x[1]) * cos(zp * x[2])
abserror = abs(actualanswer - model.getAnomalyPotential())
biggesterror = sup(abserror)
self.assertLessEqual(biggesterror, self.TESTTOL)
def setUp(self):
for x in [(int(mpiSize**(1 / 3.)), int(mpiSize**(1 / 3.))), (2, 3),
(2, 2), (1, 2), (1, 1)]:
NX = x[0]
NY = x[1]
NZ = mpiSize // (x[0] * x[1])
if NX * NY * NZ == mpiSize:
break
self.domain = Brick(n0=NE * NX - 1,
n1=NE * NY - 1,
n2=NE * NZ - 1,
l0=1.,
l1=1.,
l2=1.,
d0=NX,
d1=NY,
d2=NZ)
self.order = 1
def setUp(self):
self.domain = Brick(n0=NE * NXb - 1,
n1=NE * NYb - 1,
n2=NE * NZb - 1,
l0=1.,
l1=1.,
l2=1.,
d0=NXb,
d1=NYb,
d2=NZb)
self.functionspaces = [
ContinuousFunction(self.domain),
Function(self.domain),
ReducedFunction(self.domain),
FunctionOnBoundary(self.domain),
ReducedFunctionOnBoundary(self.domain)
]
#We aren't testing DiracDeltaFunctions
self.xn = 5 # number of grids on x axis
self.yn = 5 # number of grids on y axis
self.zn = 5
def setUp(self):
Stations = [ (0.,0.,0.), (1.,0,0.), (0,1,0.), (1,1,0.) ]
StationsTags = ["A1", "A2", "A3", "A4" ]
self.domain=Brick(n0=5,n1=5,n2=5,diracPoints=Stations,diracTags=StationsTags)
def setUp(self):
self.domain = Brick(10, 10, 10)
if __name__ == "__main__":
try:
from esys.ripley import Brick
HAVE_RIPLEY = True
except ImportError:
HAVE_RIPLEY = False
print("Ripley module not available")
if HAVE_RIPLEY:
from esys.escript import *
from esys.escript.linearPDEs import Poisson
from esys.weipa import saveSilo, saveVoxet
dom = Brick(l0=1.,l1=1.,n0=9, n1=9, n2=9)
x = dom.getX()
gammaD = whereZero(x[0])+whereZero(x[1])
pde = Poisson(dom)
q = gammaD
pde.setValue(f=1, q=q)
u = pde.getSolution()
u=interpolate(u+dom.getX()[2], ReducedFunction(dom))
print(u)
saveVoxet('/tmp/poisson.vo', u=u)
print("-------")
dom = Brick(l0=1.,l1=1.,l2=4.,n0=18, n1=18, n2=36)
v=readVoxet(dom, '/tmp/poisson.vo', 'u', fillValue=0.5)
print(v)
#saveSilo('/tmp/poisson', v=v)
def setUp(self):
self.domain = Brick(n0=NE0*NXb-1, n1=NE1*NYb-1, n2=NE2*NZb-1, d0=NXb, d1=NYb, d2=NZb)
self.package = SolverOptions.PASO
self.method = SolverOptions.BICGSTAB
self.preconditioner = SolverOptions.JACOBI
d0 = d0 * f
d2 = d2 / f
elif (NY+1)%(d1*f) == 0:
d1 = d1 * f
d2 = d2 / f
else:
if (NY+1)%(d1*f) == 0:
d1 = d1 * f
d2 = d2 / f
elif (NX+1)%(d0*f) == 0:
d0 = d0 * f
d2 = d2 / f
# create domain
print("Domain subdivisions: %d x %d x %d"%(d0,d1,d2))
dom = Brick(NX, NY, n_cells_v, l0, l1, l2, d0, d1, d2)
dom_len = [sup(dom.getX()[i])-inf(dom.getX()[i]) for i in range(dom.getDim())]
# report domain setup
print("Domain size: "+str([NX, NY, n_cells_v]))
print(" length: "+str(dom_len))
print(" origin: "+str(dom_origin))
DIM = dom.getDim() # = 3
datacoords = ReducedFunction(dom).getX()
# create the output directory if not existing already
try:
os.mkdir(OUTPUTDIR)
rg.append((mid_point, receiver_line[iy]))
#
# create domain:
#
if DIM == 2:
domain = Rectangle(ne_x,
ne_z,
l0=width_x,
l1=depth,
diracPoints=src_locations,
diracTags=src_tags)
else:
domain = Brick(ne_x,
ne_x,
ne_z,
l0=width_x,
l1=width_y,
l2=depth,
diracPoints=src_locations,
diracTags=src_tags)
wl = Ricker(frq, tcenter)
#======================================================================
z = Function(domain).getX()[DIM - 1]
z_bottom = 0
v_p = 0
delta = 0
vareps = 0
azmth = 0
rho = 0
for l in range(len(layers)):
m = wherePositive(z -
if __name__ == "__main__":
try:
from esys.ripley import Brick
HAVE_RIPLEY = True
except ImportError:
HAVE_RIPLEY = False
print("Ripley module not available")
if HAVE_RIPLEY:
from esys.escript import *
from esys.escript.linearPDEs import Poisson
from esys.weipa import saveSilo, saveVoxet
import tempfile
dom = Brick(l0=1., l1=1., n0=9, n1=9, n2=9)
x = dom.getX()
gammaD = whereZero(x[0]) + whereZero(x[1])
pde = Poisson(dom)
q = gammaD
pde.setValue(f=1, q=q)
u = pde.getSolution()
u = interpolate(u + dom.getX()[2], ReducedFunction(dom))
print(u)
handle, filename = tempfile.mkstemp(suffix='.vo', prefix='poisson')
saveVoxet(filename, u=u)
print("-------")
dom = Brick(l0=1., l1=1., l2=4., n0=18, n1=18, n2=36)
v = readVoxet(dom, filename, 'u', fillValue=0.5)
print(v)
os.remove(filename)
class TestDCResistivityApp(unittest.TestCase):
dx = 10 # grid line spacing in [m]
NEx = 50 # number of nodes in the x direction
NEy = 50 # number of nodes in the y direction
NEz = 50 # number of nodes in the z direction
H0 = 600 # height [m] of transect above bottom of domain (will be locked to grid)
sig_p = 1. # primary conductivity
sig_2 = 100. # conductivity in ball xdim = 1000.
TESTTOL = 1e-3
POSx = 100
POSy = 70
NEGx = 100
NEGy = 110
POS_node = (POSx * dx, POSy * dx, NEz * dx)
NEG_node = (NEGx * dx, NEGy * dx, NEz * dx)
Z0 = 100 # vertical position of circle below transect [m]
Lx = dx * NEx
Ly = dx * NEy
Lz = dx * NEz
c = [Lx / 2., Ly / 2., H0 - Z0] # circle center
R = 50. # radius
def setUp(self):
self.domain = Brick(n0=self.NEx,
n1=self.NEy,
n2=self.NEz,
l0=self.Lx,
l1=self.Ly,
l2=self.Lz,
diracPoints=[self.POS_node, self.NEG_node],
diracTags=['e0', 'e1'])
def tearDown(self):
del self.domain
def test_pde_Primary(self):
model1 = DCResistivityModel(self.domain,
sigma0=self.sig_p,
useFastSolver=True)
model1.setPrimaryPotentialForHalfSpace(
sources=[self.POS_node, self.NEG_node], charges=[1.0, -1.0])
analyticprimary = model1.setPrimaryPotentialForHalfSpace(
sources=[self.POS_node, self.NEG_node], charges=[1.0, -1.0])
primaryans1 = model1.getPrimaryPotential()
model2 = DCResistivityModel(self.domain,
sigma0=self.sig_p,
useFastSolver=True)
src = Scalar(0., DiracDeltaFunctions(self.domain))
src.setTaggedValue('e0', 1.0)
src.setTaggedValue('e1', -1.0)
model2.setPrimaryPotential(source=src)
primaryans2 = model2.getPrimaryPotential()
abserror = abs(primaryans1 - primaryans2)
self.assertLessEqual(sup(abserror), self.TESTTOL * 10., "primaries")
sigma = Scalar(self.sig_p, ContinuousFunction(self.domain))
x = self.domain.getX()
d = length(x - self.c)
sphereCond = sigma + (self.sig_2 - self.sig_p) * whereNegative(
d - self.R) # 0 for d>R and 1 for d<R
model1.setConductivity(sphereCond)
model2.setConductivity(sphereCond)
us1 = model1.getSecondaryPotential()
us2 = model1.getSecondaryPotential()
abserror = abs(us1 - us2)
self.assertLessEqual(sup(abserror), self.TESTTOL * 1., "secondaries")
ut1 = model1.getPotential()
ut2 = model2.getPotential()
model3 = DCResistivityModelNoPrimary(self.domain,
source=src,
sigma=sphereCond,
useFastSolver=True)
ut3 = model3.getPotential()
abserror = abs(ut1 - ut2)
self.assertLessEqual(sup(abserror), self.TESTTOL * 10.,
"total with primaries")
abserror = abs(ut1 - ut3)
self.assertLessEqual(sup(abserror), self.TESTTOL * 10.,
"total with analytic primary")
abserror = abs(ut2 - ut3)
self.assertLessEqual(sup(abserror), self.TESTTOL * 10.,
"total with FE primary")
