def test_SphericalTransformation2D(self):
dom=Rectangle(NE,NE, l0=45., l1=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[0])/180.*pi
h=x[1]*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*pi/180.*1000.)
self.assertTrue(error<=RTOL*R, "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./r/pi*180.)
self.assertTrue(error<=RTOL/R/pi*180., "0-th scaling factor")
error=Lsup(s[1]-1./1000)
self.assertTrue(error<=RTOL/1000., "1-th scaling factor")
def test_CartesianTransformation2D(self):
dom=Rectangle(NE,NE, l0=10, l1=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")
def test_SphericalTransformation2D(self):
dom=Rectangle(NE,NE, l0=45., l1=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[0])/180.*pi
h=x[1]*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*pi/180.*1000.)
self.assertTrue(error<=RTOL*R, "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./r/pi*180.)
self.assertTrue(error<=RTOL/R/pi*180., "0-th scaling factor")
error=Lsup(s[1]-1./1000)
self.assertTrue(error<=RTOL/1000., "1-th scaling factor")
def test_CartesianTransformation2D(self):
dom=Rectangle(NE,NE, l0=10, l1=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")
def setUp(self):
self.domain = Rectangle(self.NEX,
self.NEZ,
l0=self.WIDTH,
l1=self.DEPTH)
self.loc = Locator(ReducedFunction(self.domain),
[(self.STATION_OFFSET, self.DEPTH - self.AIR_LAYER -
self.DEPTH / self.NEZ / 2)])
self.airLayerMask = whereNonNegative(self.domain.getX()[1] -
self.DEPTH + self.AIR_LAYER)
self.airLayerMaskCenter = whereNonNegative(
ReducedFunction(self.domain).getX()[1] - self.DEPTH +
self.AIR_LAYER)
def setUp(self):
self.boundary_tag_list = [1, 2, 10, 20]
self.domain = Rectangle(n0=NE * NX - 1,
n1=NE * NY - 1,
l0=1.,
l1=1.,
d0=NX,
d1=NY)
self.rdomain = Rectangle(n0=(NE + 6) * NX - 1,
n1=(NE + 6) * NY - 1,
l0=1.,
l1=1.,
d0=NX,
d1=NY)
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 generateRects(self, a, b):
rectX = Rectangle(self.longEdge,
self.shortEdge,
l0=self.longEdge,
l1=self.shortEdge,
d0=self.numRanks,
diracPoints=[(a, b)],
diracTags=["test"])
rectY = Rectangle(self.shortEdge,
self.longEdge,
l0=self.shortEdge,
l1=self.longEdge,
d1=self.numRanks,
diracPoints=[(b, a)],
diracTags=["test"])
return [rectX, rectY]
class TestMagneticApp2D(unittest.TestCase):
xdim = 1000.
zdim = 1000.
NEX = 100
NEZ = 100
TESTTOL = 1e-3
def setUp(self):
self.domain = Rectangle(self.NEX, self.NEZ, l0=self.xdim, l1=self.zdim)
def tearDown(self):
del self.domain
def test_pde_answer(self):
model = MagneticModel2D(self.domain, fixVert=True)
x = self.domain.getX()
xmin = inf(x[0])
xmax = sup(x[0])
ymin = inf(x[1])
ymax = sup(x[1])
xp = 2. * np.pi / (xmax - xmin)
yp = 2. * np.pi / (ymax - ymin)
Bh = [1., 0.]
k = ((xp**2 + yp**2) / xp) * cos(xp * x[0]) * cos(yp * x[1])
model.setSusceptibility(k)
outk = model.getSusceptibility()
kdiff = abs(k - outk)
self.assertLessEqual(sup(kdiff), self.TESTTOL)
model.setBackgroundMagneticField(Bh)
actualanswer = sin(xp * x[0]) * cos(yp * x[1])
abserror = abs(actualanswer - model.getAnomalyPotential())
biggesterror = sup(abserror)
self.assertLessEqual(biggesterror, self.TESTTOL)
def setUp(self):
self.workdir = RIPLEY_WORKDIR
self.domain = Rectangle(n0=NE * NX - 1,
n1=NE * NY - 1,
l0=1.,
l1=1.,
d0=NX,
d1=NY)
self.functionspaces = [
ContinuousFunction, Function, ReducedFunction, FunctionOnBoundary,
ReducedFunctionOnBoundary
]
NE0 = NE * NX - 1
NE1 = NE * NY - 1
# number of total data points for each function space
self.linecounts = [(NE0 + 1) * (NE1 + 1) + 1, 4 * NE0 * NE1 + 1,
NE0 * NE1 + 1, 4 * NE0 + 4 * NE1 + 1,
2 * NE0 + 2 * NE1 + 1]
# number of masked points, i.e. where X[0] is non-zero
self.linecounts_masked = [
NE0 * (NE1 + 1) + 1, 4 * NE0 * NE1 + 1, NE0 * NE1 + 1,
4 * NE0 + 2 * NE1 + 1, 2 * NE0 + NE1 + 1
]
# expected values in first line of masked data = [ X[:], X[0] ]
self.firstline = [[1. / NE0, 0., 1. / NE0], [None, None, None],
[None, None, None], [None, None, None],
[None, None, None]]
def setUp(self):
self.domain=Rectangle(n0=NE*NX-1, n1=NE*NY-1, l0=1., l1=1., d0=NX, d1=NY)
self.functionspace = FunctionOnBoundary(self.domain) # due to a bug in escript python needs to hold a reference to the domain
try:
self.workdir=os.environ['RIPLEY_WORKDIR']
except KeyError:
self.workdir='.'
def setUp(self):
self.domain = Rectangle(n0=NE * NX - 1,
n1=NE * NY - 1,
l0=1.,
l1=1.,
d0=NX,
d1=NY)
self.tol = 0.001
def setUp(self):
self.domain = Rectangle(20,
20,
l0=100.,
l1=100.,
diracTags=["source"],
diracPoints=[(0, 0)])
self.wavelet = Ricker(100.)
def setUp(self):
self.order = 1
self.domain = Rectangle(n0=NE * NX - 1,
n1=NE * NY - 1,
l0=1.,
l1=1.,
d0=NX,
d1=NY)
def setUp(self):
self.domain = Rectangle(self.NEX,
self.NEZ,
l0=self.WIDTH,
l1=self.DEPTH)
self.loc = Locator(
ReducedFunction(self.domain),
[(self.STATION_OFFSET, self.DEPTH - self.DEPTH / self.NEZ / 2)])
def setUp(self):
self.domain = Rectangle(n0=NE * NX - 1,
n1=NE * NY - 1,
l0=1.,
l1=1.,
d0=NX,
d1=NY)
self.domain_with_different_number_of_samples = Rectangle(
n0=7 * NE * NX - 1, n1=3 * NE * NY - 1, l0=1., l1=1., d0=NX, d1=NY)
self.domain_with_different_number_of_data_points_per_sample = Rectangle(
n0=7 * NE * NX - 1, n1=3 * NE * NY - 1, l0=1., l1=1., d0=NX, d1=NY)
self.domain_with_different_sample_ordering = Rectangle(n0=NE * NX - 1,
n1=NE * NY - 1,
l0=1.,
l1=1.,
d0=NX,
d1=NY)
self.filename_base = RIPLEY_WORKDIR
self.mainfs = Function(self.domain)
self.otherfs = Solution(self.domain)
def test_FillRectangle(self):
fs = ContinuousFunction(
Rectangle(10 * (int(sqrt(mpiSize) + 1)),
10 * (int(sqrt(mpiSize) + 1))))
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", 11, 0.1)) #radius too large
RandomData((2, 3), fs)
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 = [
esu.sup(dom.getX()[i]) - esu.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):
for x in [int(sqrt(mpiSize)), 2, 3, 5, 7, 1]:
NX = x
NY = mpiSize // x
if NX * NY == mpiSize:
break
self.domain = Rectangle(n0=NE * NX - 1,
n1=NE * NY - 1,
l0=1.,
l1=1.,
d0=NX,
d1=NY)
def setUp(self):
self.fs = Function(Rectangle(40, 40))
class TestMT2DTMWithAirLayer(unittest.TestCase):
DEPTH = 3000.
WIDTH = 1000.
RHO0 = 100.
NEX = 100
NEZ = 300
STATION_OFFSET = 1000.
AIR_LAYER = 300.
TRUE_PHASE = 45.
TRUE_RHO = 100.
USEFASTSOLVER = False # True works not yet
def setUp(self):
self.domain = Rectangle(self.NEX,
self.NEZ,
l0=self.WIDTH,
l1=self.DEPTH)
self.loc = Locator(ReducedFunction(self.domain),
[(self.STATION_OFFSET, self.DEPTH - self.AIR_LAYER -
self.DEPTH / self.NEZ / 2)])
self.airLayerMask = whereNonNegative(self.domain.getX()[1] -
self.DEPTH + self.AIR_LAYER)
self.airLayerMaskCenter = whereNonNegative(
ReducedFunction(self.domain).getX()[1] - self.DEPTH +
self.AIR_LAYER)
def tearDown(self):
del self.domain
del self.loc
def runModel(self, model, PERIODS, TOL):
for frq in PERIODS:
Zyx = model.getImpedance(f=frq)
self.assertIsInstance(Zyx, Data)
self.assertEqual(Zyx.getShape(), ())
self.assertEqual(Zyx.getFunctionSpace(),
ReducedFunction(self.domain))
rho = model.getApparentResitivity(frq, Zyx)
self.assertIsInstance(rho, Data)
self.assertEqual(rho.getShape(), ())
self.assertEqual(rho.getFunctionSpace(),
ReducedFunction(self.domain))
phi = model.getPhase(frq, Zyx)
self.assertIsInstance(phi, Data)
self.assertEqual(phi.getShape(), ())
self.assertEqual(phi.getFunctionSpace(),
ReducedFunction(self.domain))
#print(frq, self.loc(rho)[0], self.loc(phi)[0])
self.assertAlmostEqual(self.loc(rho)[0],
self.TRUE_RHO,
delta=TOL * self.TRUE_RHO)
self.assertAlmostEqual(self.loc(phi)[0],
self.TRUE_PHASE,
delta=TOL * self.TRUE_PHASE)
def test_RhoBFloat(self):
"""
resistivity set on elements, radiation condition
"""
PERIODS = np.logspace(-2,
2,
num=5,
endpoint=True,
base=10.0,
dtype=float)
rho = self.airLayerMaskCenter * 9999999 + (
1 - self.airLayerMaskCenter) * self.RHO0
model = MT2DTMModel(self.domain,
fixBottom=False,
airLayer=self.DEPTH - self.AIR_LAYER,
useFastSolver=self.USEFASTSOLVER)
self.assertEqual(0, Lsup(model.airLayer - self.airLayerMask))
model.setResistivity(rho, rho_boundary=self.RHO0)
self.runModel(model, PERIODS, TOL=1.e-3)
def test_RhoBDataFixedButtom(self):
"""
resistivity set on elements, no value on boundary but interpolation is not possible fixed bottom
"""
PERIODS = np.logspace(2,
3,
num=3,
endpoint=True,
base=10.0,
dtype=float)
rho = self.airLayerMaskCenter * 9999999 + (
1 - self.airLayerMaskCenter) * self.RHO0
model = MT2DTMModel(self.domain,
fixBottom=True,
airLayer=self.DEPTH - self.AIR_LAYER,
useFastSolver=self.USEFASTSOLVER)
self.assertEqual(0, Lsup(model.airLayer - self.airLayerMask))
model.setResistivity(rho)
self.runModel(model, PERIODS, TOL=1.e-1)
def test_RhoBDataFailed(self):
"""
resistivity set on elements, no value on boundary but interpolation is not possible fixed bottom
"""
PERIODS = np.logspace(2,
3,
num=3,
endpoint=True,
base=10.0,
dtype=float)
rho = self.airLayerMaskCenter * 9999999 + (
1 - self.airLayerMaskCenter) * self.RHO0
model = MT2DTMModel(self.domain,
fixBottom=False,
airLayer=self.DEPTH - self.AIR_LAYER,
useFastSolver=self.USEFASTSOLVER)
self.assertEqual(0, Lsup(model.airLayer - self.airLayerMask))
self.assertRaises(RuntimeError, model.setResistivity, *(rho, ))
def setUp(self):
self.domain = Rectangle(n0=NE0 * NX - 1, n1=NE1 * NY - 1, d0=NX, d1=NY)
self.package = SolverOptions.MKL
self.method = SolverOptions.DIRECT
def setUp(self):
self.domain = Rectangle(n0=NE0*NX-1, n1=NE1*NY-1, d0=NX, d1=NY)
self.package = SolverOptions.TRILINOS
self.method = SolverOptions.BICGSTAB
self.preconditioner = SolverOptions.JACOBI
def setUp(self):
self.domain = Rectangle(self.NEX, self.NEZ, l0=self.xdim, l1=self.zdim)
rg.append((receiver_line[ix], 0.))
else:
rcv_locations.append((receiver_line[ix], mid_point, depth))
rg.append((receiver_line[ix], mid_point))
# North-south line of receiver
if DIM == 3:
for iy in range(len(receiver_line)):
rcv_locations.append((mid_point, receiver_line[iy], depth))
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]
# you want to increase the value for `num` to get nicer plots.
#================================================
print("Width [m] = ",WIDTH)
print("Depth [m] = ", DEPTH)
print("Mesh size [m] = ", WIDTH/NEX)
print("Number of cells in x direction = ", NEX)
print("Number of cells in z direction = ", NEZ)
print("Air layer [m] = ", L_AIR)
print("periods [s] = ", PERIODS)
#==============================================
print("generating mesh ...")
domain=Rectangle(NEX,NEZ,l0=WIDTH,l1=DEPTH)
print("generating conductivity ...")
# you can replace this by an interpolation table read from a CSV file.
z=ReducedFunction(domain).getX()[domain.getDim()-1]
sigma=Scalar(SIGMA0, z.getFunctionSpace())
rho=Scalar(1./SIGMA0, z.getFunctionSpace())
z_top=sup(domain.getX()[domain.getDim()-1])
m_top=0.
for l, s in zip(LAYERS, SIGMA ):
m2=wherePositive(z-z_top+l)
m=m2-m_top
sigma=(1-m)*sigma+m*s
if s > 0:
rho=(1-m)*rho+m*1./s
else:
def setUp(self):
Stations = [ (0.,0.), (1.,0), (0,1), (1,1) ]
StationsTags = ["A1", "A2", "A3", "A4" ]
self.domain=Rectangle(n0=5,n1=5, diracPoints=Stations, diracTags=StationsTags)
def setUp(self):
self.domain = Rectangle(n0=NE0*NX-1, n1=NE1*NY-1, d0=NX, d1=NY)
self.package = SolverOptions.PASO
self.method = SolverOptions.PCG
self.preconditioner = SolverOptions.JACOBI
def setUp(self):
self.domain = Rectangle(20, 20)
def setUp(self):
self.domain = Rectangle(l0=1.,
l1=1.,
n0=10,
n1=10 * getMPISizeWorld() - 1,
d1=getMPISizeWorld())
