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##############################################################################
#
# Copyright (c) 2003-2018 by The University of Queensland
# http://www.uq.edu.au
#
# Primary Business: Queensland, Australia
# Licensed under the Apache License, version 2.0
# http://www.apache.org/licenses/LICENSE-2.0
#
# Development until 2012 by Earth Systems Science Computational Center (ESSCC)
# Development 2012-2013 by School of Earth Sciences
# Development from 2014 by Centre for Geoscience Computing (GeoComp)
#
##############################################################################
from __future__ import print_function, division
__copyright__="""Copyright (c) 2003-2018 by The University of Queensland
http://www.uq.edu.au
Primary Business: Queensland, Australia"""
__license__="""Licensed under the Apache License, version 2.0
http://www.apache.org/licenses/LICENSE-2.0"""
__url__="https://launchpad.net/escript-finley"
import esys.escriptcore.utestselect as unittest
from esys.escriptcore.testing import *
from esys.escript import *
from esys.ripley import Rectangle, Brick
from esys.escript.linearPDEs import LameEquation, LinearPDESystem, WavePDE
from esys.downunder import HTIWave, VTIWave, Ricker
EXPANDED, SCALAR, CONSTANT = range(3)
class RipleyWaveAssemblerTestBase(unittest.TestCase):
def generate_fast_HTI_PDE_solution(self):
pde = WavePDE(self.domain, [("c11", self.c11),
("c23", self.c23), ("c13", self.c13), ("c33", self.c33),
("c44", self.c44), ("c66", self.c66)])
pde.getSolverOptions().setSolverMethod(SolverOptions.HRZ_LUMPING)
pde.setSymmetryOn()
dim = pde.getDim()
X = self.domain.getX()
y = Vector([2.,3.,4.][:dim], DiracDeltaFunctions(self.domain))
du = grad(X*X)
# D = Scalar(2500., Function(self.domain))*kronecker(dim)
D = 2500.*kronecker(dim)
pde.setValue(D=D, y_dirac=y, du=du)
return pde.getSolution()
def generate_slow_HTI_PDE_solution(self):
pde = LinearPDESystem(self.domain)
pde.getSolverOptions().setSolverMethod(SolverOptions.HRZ_LUMPING)
pde.setSymmetryOn()
dim = pde.getDim()
X = self.domain.getX()
y = Vector([2.,3.,4.][:dim], DiracDeltaFunctions(self.domain))
du = grad(X*X)
D = 2500.*kronecker(dim)
pde.setValue(X=pde.createCoefficient('X'))
sigma = pde.getCoefficient('X')
if dim == 3:
e11=du[0,0]
e22=du[1,1]
e33=du[2,2]
sigma[0,0]=self.c11*e11+self.c13*(e22+e33)
sigma[1,1]=self.c13*e11+self.c33*e22+self.c23*e33
sigma[2,2]=self.c13*e11+self.c23*e22+self.c33*e33
s=self.c44*(du[2,1]+du[1,2])
sigma[1,2]=s
sigma[2,1]=s
s=self.c66*(du[2,0]+du[0,2])
sigma[0,2]=s
sigma[2,0]=s
s=self.c66*(du[0,1]+du[1,0])
sigma[0,1]=s
sigma[1,0]=s
else:
e11=du[0,0]
e22=du[1,1]
sigma[0,0]=self.c11*e11+self.c13*e22
sigma[1,1]=self.c13*e11+self.c33*e22
s=self.c66*(du[1,0]+du[0,1])
sigma[0,1]=s
sigma[1,0]=s
pde.setValue(D=D, X=-sigma, y_dirac=y)
return pde.getSolution()
def generate_fast_VTI_PDE_solution(self):
pde = WavePDE(self.domain, [("c11", self.c11),
("c12", self.c12), ("c13", self.c13), ("c33", self.c33),
("c44", self.c44), ("c66", self.c66)])
pde.getSolverOptions().setSolverMethod(SolverOptions.HRZ_LUMPING)
pde.setSymmetryOn()
dim = pde.getDim()
X = self.domain.getX()
y = Vector([2.,3.,4.][:dim], DiracDeltaFunctions(self.domain))
du = grad(X*X)
D = 2500.*kronecker(dim)
pde.setValue(D=D, y_dirac=y, du=du)
return pde.getSolution()
def generate_slow_VTI_PDE_solution(self):
pde = LinearPDESystem(self.domain)
pde.getSolverOptions().setSolverMethod(SolverOptions.HRZ_LUMPING)
pde.setSymmetryOn()
dim = pde.getDim()
dim = pde.getDim()
X = self.domain.getX()
y = Vector([2.,3.,4.][:dim], DiracDeltaFunctions(self.domain))
du = grad(X*X)
D = 2500.*kronecker(dim)
pde.setValue(X=pde.createCoefficient('X'))
sigma = pde.getCoefficient('X')
if dim == 3:
e11=du[0,0]
e22=du[1,1]
e33=du[2,2]
sigma[0,0]=self.c11*e11+self.c12*e22+self.c13*e33
sigma[1,1]=self.c12*e11+self.c11*e22+self.c13*e33
sigma[2,2]=self.c13*(e11+e22)+self.c33*e33
s=self.c44*(du[2,1]+du[1,2])
sigma[1,2]=s
sigma[2,1]=s
s=self.c44*(du[2,0]+du[0,2])
sigma[0,2]=s
sigma[2,0]=s
s=self.c66*(du[0,1]+du[1,0])
sigma[0,1]=s
sigma[1,0]=s
else:
e11=du[0,0]
e22=du[1,1]
sigma[0,0]=self.c11*e11+self.c13*e22
sigma[1,1]=self.c13*e11+self.c33*e22
s=self.c44*(du[1,0]+du[0,1])
sigma[0,1]=s
sigma[1,0]=s
pde.setValue(D=D, X=-sigma, y_dirac=y)
return pde.getSolution()
def run_HTI_assembly(self):
model = HTIWave(self.domain, self.V_p, self.V_s, self.wavelet, "source",
source_vector=[0,0,1], eps=0., gamma=0., delta=0.,
rho=2000., absorption_zone=None, lumping=True,
disable_fast_assemblers=True)
self.assertFalse(model.fastAssembler) #ensure the arg is obeyed
model = HTIWave(self.domain, self.V_p, self.V_s, self.wavelet, "source",
source_vector=[0,0,1], eps=0., gamma=0., delta=0.,
rho=2000., absorption_zone=None, lumping=True)
self.assertTrue(model.fastAssembler) #ensure fast is actually used
slow = self.generate_slow_HTI_PDE_solution()
fast = self.generate_fast_HTI_PDE_solution()
self.assertLess(Lsup(fast - slow), 1e-12) #comparison between them
def run_VTI_assembly(self):
model = VTIWave(self.domain, self.V_p, self.V_s, self.wavelet, "source",
source_vector=[0,0,1], eps=0., gamma=0., delta=0.,
rho=2000., absorption_zone=None, lumping=True,
disable_fast_assemblers=True)
self.assertFalse(model.fastAssembler) #ensure the arg is obeyed
model = VTIWave(self.domain, self.V_p, self.V_s, self.wavelet, "source",
source_vector=[0,0,1], eps=0., gamma=0., delta=0.,
rho=2000., absorption_zone=None, lumping=True)
self.assertTrue(model.fastAssembler) #ensure fast is actually used
slow = self.generate_slow_VTI_PDE_solution()
fast = self.generate_fast_VTI_PDE_solution()
self.assertLess(Lsup(fast - slow), 1e-12) #comparison between them
def test_Function_params(self):
self.V_p = Data(2500., (), Function(self.domain))
self.V_s = Data(1250., (), Function(self.domain))
self.c11 = Data(11., (), Function(self.domain))
self.c12 = Data(12., (), Function(self.domain))
self.c13 = Data(13., (), Function(self.domain))
self.c23 = Data(23., (), Function(self.domain))
self.c33 = Data(33., (), Function(self.domain))
self.c44 = Data(44., (), Function(self.domain))
self.c66 = Data(66., (), Function(self.domain))
for i in [self.V_p, self.V_s, self.c11, self.c12, self.c13, self.c23,
self.c33, self.c44, self.c66]:
i.expand()
self.run_HTI_assembly()
self.run_VTI_assembly()
def test_ReducedFunction_params(self):
self.V_p = Data(2500., (), ReducedFunction(self.domain))
self.V_s = Data(1250., (), ReducedFunction(self.domain))
self.c11 = Data(11., (), ReducedFunction(self.domain))
self.c12 = Data(12., (), ReducedFunction(self.domain))
self.c13 = Data(13., (), ReducedFunction(self.domain))
self.c23 = Data(23., (), ReducedFunction(self.domain))
self.c33 = Data(33., (), ReducedFunction(self.domain))
self.c44 = Data(44., (), ReducedFunction(self.domain))
self.c66 = Data(66., (), ReducedFunction(self.domain))
for i in [self.V_p, self.V_s, self.c11, self.c12, self.c13, self.c23,
self.c33, self.c44, self.c66]:
i.expand()
with self.assertRaises(ValueError) as e:
self.run_HTI_assembly()
self.assertTrue("mismatching function spaces" in str(e.exception))
with self.assertRaises(ValueError) as e:
self.run_VTI_assembly()
self.assertTrue("mismatching function spaces" in str(e.exception))
def test_Constant_params(self):
self.V_p = Scalar(2500., Function(self.domain))
self.V_s = Scalar(1250., Function(self.domain))
self.c11 = Scalar(11., ReducedFunction(self.domain))
self.c12 = Scalar(12., ReducedFunction(self.domain))
self.c13 = Scalar(13., ReducedFunction(self.domain))
self.c23 = Scalar(23., ReducedFunction(self.domain))
self.c33 = Scalar(33., ReducedFunction(self.domain))
self.c44 = Scalar(44., ReducedFunction(self.domain))
self.c66 = Scalar(66., ReducedFunction(self.domain))
with self.assertRaises(ValueError) as e:
self.run_HTI_assembly()
self.assertTrue("mismatching function spaces" in str(e.exception))
with self.assertRaises(ValueError) as e:
self.run_VTI_assembly()
self.assertTrue("mismatching function spaces" in str(e.exception))
class Test_RipleyWaveAssembler2D(RipleyWaveAssemblerTestBase):
def setUp(self):
self.domain = Rectangle(20,20,l0=100.,l1=100., diracTags=["source"],
diracPoints=[(0,0)])
self.wavelet = Ricker(100.)
def tearDown(self):
del self.domain
class Test_RipleyWaveAssembler3D(RipleyWaveAssemblerTestBase):
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 tearDown(self):
del self.domain
class RipleyLameAssemblerTestBase(unittest.TestCase): #requires subclassing
def run_lame(self, fast, test_type, mu=3, lamb=50):
d=self.domain.getDim()
mypde=LameEquation(self.domain, useFast=fast)
cf=ContinuousFunction(self.domain)
x=cf.getX()
u_ex=x
msk=Vector(0.,cf)
for i in range(d):
msk[i]=whereZero(x[i])
if test_type != CONSTANT:
mu = Scalar(mu, cf)
lamb = Scalar(lamb, cf)
if test_type == EXPANDED:
mu.expand()
lamb.expand()
mypde.setValue(q=msk,r=u_ex,lame_mu=mu,lame_lambda=lamb,f=(2*3+50*d)*FunctionOnBoundary(self.domain).getNormal())
return mypde.getSolution()
def test_lameExpanded(self):
#check default and lame assemblers agree
default = self.run_lame(False, EXPANDED)
lame = self.run_lame(True, EXPANDED)
self.assertLess(Lsup(default - lame), 1e-8,
"Default and Lame %dDassembler solutions differ for "\
"expanded data"%self.domain.getDim())
#reverse order, ensure default assembler still operational
lame = self.run_lame(True, EXPANDED, mu=7, lamb=40)
default = self.run_lame(False, EXPANDED, mu=7, lamb=40)
self.assertLess(Lsup(default - lame), 1e-8,
"Default and Lame %dDassembler solutions differ for "\
"expanded data"%self.domain.getDim())
def test_lameScalar(self):
#check default and lame assemblers agree
default = self.run_lame(False, SCALAR)
lame = self.run_lame(True, SCALAR)
self.assertLess(Lsup(default - lame), 1e-8,
"Default and Lame %dDassembler solutions differ for "\
"scalar data"%self.domain.getDim())
#reverse order, ensure default assembler still operational
lame = self.run_lame(True, SCALAR, mu=7, lamb=40)
default = self.run_lame(False, SCALAR, mu=7, lamb=40)
self.assertLess(Lsup(default - lame), 1e-8,
"Default and Lame %dDassembler solutions differ for "\
"scalar data"%self.domain.getDim())
def test_lameConstant(self):
#check default and lame assemblers agree
default = self.run_lame(False, CONSTANT)
lame = self.run_lame(True, CONSTANT)
self.assertLess(Lsup(default - lame), 1e-8,
"Default and Lame %dDassembler solutions differ for "\
"constant data"%self.domain.getDim())
#reverse order, ensure default assembler still operational
lame = self.run_lame(True, CONSTANT, mu=7, lamb=40)
default = self.run_lame(False, CONSTANT, mu=7, lamb=40)
self.assertLess(Lsup(default - lame), 1e-8,
"Default and Lame %dDassembler solutions differ for "\
"constant data"%self.domain.getDim())
class Test_RipleyLameAssemblers2D(RipleyLameAssemblerTestBase):
def setUp(self):
self.domain = Rectangle(20,20)
def tearDown(self):
del self.domain
class Test_RipleyLameAssemblers3D(RipleyLameAssemblerTestBase):
def setUp(self):
self.domain = Brick(10,10,10)
def tearDown(self):
del self.domain
if __name__ == '__main__':
run_tests(__name__, exit_on_failure=True)
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