Problem3D_CC and _N for IP are all tested

a) fwd
b) jvec, jtvec
c) adjoint
This commit is contained in:
seogi_macbook
2016-05-02 16:47:16 -07:00
parent ddb11096c8
commit 354e57f24e
3 changed files with 179 additions and 34 deletions
+1 -1
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@@ -22,7 +22,7 @@ class DCProblemAnalyticTests(unittest.TestCase):
rx = DC.Rx.Dipole(M, N)
src0 = DC.Src.Pole([rx], A0loc)
survey = DC.Survey([src0])
survey = DC.Survey_ky([src0])
self.survey = survey
self.mesh = mesh
+52 -33
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@@ -1,41 +1,43 @@
import unittest
from SimPEG import Mesh, Utils, EM, Maps, np
import SimPEG.EM.Static.DC as DC
import SimPEG.EM.Static.IP as IP
class IPProblemAnalyticTests(unittest.TestCase):
def setUp(self):
cs = 12.5
hx = [(cs,2, -1.3),(cs,61),(cs,2, 1.3)]
hy = [(cs,2, -1.3),(cs,20)]
mesh = Mesh.TensorMesh([hx, hy],x0="CN")
sighalf = 1e-2
sigma = np.ones(mesh.nC)*sighalf
x = np.linspace(-135, 250., 20)
M = Utils.ndgrid(x-12.5, np.r_[0.])
N = Utils.ndgrid(x+12.5, np.r_[0.])
A0loc = np.r_[-150, 0.]
A1loc = np.r_[-130, 0.]
rxloc = [np.c_[M, np.zeros(20)], np.c_[N, np.zeros(20)]]
npad=2
hx = [(cs,npad, -1.3),(cs,21),(cs,npad, 1.3)]
hy = [(cs,npad, -1.3),(cs,21),(cs,npad, 1.3)]
hz = [(cs,npad, -1.3),(cs,20)]
mesh = Mesh.TensorMesh([hx, hy, hz],x0="CCN")
x = mesh.vectorCCx[(mesh.vectorCCx>-80.)&(mesh.vectorCCx<80.)]
y = mesh.vectorCCx[(mesh.vectorCCy>-80.)&(mesh.vectorCCy<80.)]
Aloc = np.r_[-100., 0., 0.]
Bloc = np.r_[100., 0., 0.]
M = Utils.ndgrid(x-12.5,y, np.r_[0.])
N = Utils.ndgrid(x+12.5,y, np.r_[0.])
radius = 50.
xc = np.r_[0., 0., -100]
blkind = Utils.ModelBuilder.getIndicesSphere(xc, radius, mesh.gridCC)
sigmaInf = np.ones(mesh.nC)*1e-2
eta = np.zeros(mesh.nC)
eta[blkind] = 0.1
sigma0 = sigmaInf*(1.-eta)
rx = DC.Rx.Dipole_ky(M, N)
src0 = DC.Src.Pole([rx], A0loc)
surveyDC = DC.Survey([src0])
surveyIP = DC.Survey_ky([src0])
rx = DC.Rx.Dipole(M, N)
src = DC.Src.Dipole([rx], Aloc, Bloc)
surveyDC = DC.Survey([src])
self.surveyDC = surveyDC
self.surveyIP = surveyIP
self.mesh = mesh
self.sigma = sigma
self.data_anal = data_anal
self.sigmaInf = sigmaInf
self.sigma0 = sigma0
self.src = src
self.eta = eta
try:
from pymatsolver import MumpsSolver
@@ -45,31 +47,48 @@ class IPProblemAnalyticTests(unittest.TestCase):
def test_Problem3D_N(self):
problem = DC.Problem2D_N(self.mesh)
problem.Solver = self.Solver
problem.pair(self.survey)
data = self.survey.dpred(self.sigma)
err= np.linalg.norm((data-self.data_anal)/self.data_anal)**2 / self.data_anal.size
problemDC = DC.Problem3D_N(self.mesh)
problemDC.Solver = self.Solver
problemDC.pair(self.surveyDC)
data0 = self.surveyDC.dpred(self.sigma0)
finf = problemDC.fields(self.sigmaInf)
datainf = self.surveyDC.dpred(self.sigmaInf, f=finf)
problemIP = IP.Problem3D_N(self.mesh, sigma=self.sigmaInf, Ainv=problemDC.Ainv, f=finf)
problemIP.Solver = self.Solver
surveyIP = IP.Survey([self.src])
problemIP.pair(surveyIP)
data_full = data0 - datainf
data = surveyIP.dpred(self.eta)
err= np.linalg.norm((data-data_full)/data_full)**2 / data_full.size
if err < 0.05:
passed = True
print ">> DC analytic test for Problem3D_N is passed"
print ">> IP forward test for Problem3D_N is passed"
else:
passed = False
print ">> DC analytic test for Problem3D_N is failed"
print ">> IP forward test for Problem3D_N is failed"
self.assertTrue(passed)
def test_Problem3D_CC(self):
problem = DC.Problem2D_CC(self.mesh)
problem.Solver = self.Solver
problem.pair(self.survey)
data = self.survey.dpred(self.sigma)
err= np.linalg.norm((data-self.data_anal)/self.data_anal)**2 / self.data_anal.size
problemDC = DC.Problem3D_CC(self.mesh)
problemDC.Solver = self.Solver
problemDC.pair(self.surveyDC)
data0 = self.surveyDC.dpred(self.sigma0)
finf = problemDC.fields(self.sigmaInf)
datainf = self.surveyDC.dpred(self.sigmaInf, f=finf)
problemIP = IP.Problem3D_CC(self.mesh, rho=1./self.sigmaInf, Ainv=problemDC.Ainv, f=finf)
problemIP.Solver = self.Solver
surveyIP = IP.Survey([self.src])
problemIP.pair(surveyIP)
data_full = data0 - datainf
data = surveyIP.dpred(self.eta)
err= np.linalg.norm((data-data_full)/data_full)**2 / data_full.size
if err < 0.05:
passed = True
print ">> DC analytic test for Problem3D_CC is passed"
print ">> IP forward test for Problem3D_CC is passed"
else:
passed = False
print ">> DC analytic test for Problem3D_CC is failed"
print ">> IP forward test for Problem3D_CC is failed"
self.assertTrue(passed)
if __name__ == '__main__':
+126
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@@ -0,0 +1,126 @@
import unittest
from SimPEG import *
import SimPEG.EM.Static.DC as DC
import SimPEG.EM.Static.IP as IP
class IPProblemTestsCC(unittest.TestCase):
def setUp(self):
aSpacing=2.5
nElecs=5
surveySize = nElecs*aSpacing - aSpacing
cs = surveySize/nElecs/4
mesh = Mesh.TensorMesh([
[(cs,10, -1.3),(cs,surveySize/cs),(cs,10, 1.3)],
[(cs,3, -1.3),(cs,3,1.3)],
# [(cs,5, -1.3),(cs,10)]
],'CN')
srcList = DC.Utils.WennerSrcList(nElecs, aSpacing, in2D=True)
survey = IP.Survey(srcList)
sigma = np.ones(mesh.nC)
problem = IP.Problem3D_CC(mesh, rho=1./sigma)
problem.pair(survey)
mSynth = np.ones(mesh.nC)*0.1
survey.makeSyntheticData(mSynth)
# Now set up the problem to do some minimization
dmis = DataMisfit.l2_DataMisfit(survey)
reg = Regularization.Tikhonov(mesh)
opt = Optimization.InexactGaussNewton(maxIterLS=20, maxIter=10, tolF=1e-6, tolX=1e-6, tolG=1e-6, maxIterCG=6)
invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta=1e4)
inv = Inversion.BaseInversion(invProb)
self.inv = inv
self.reg = reg
self.p = problem
self.mesh = mesh
self.m0 = mSynth
self.survey = survey
self.dmis = dmis
def test_misfit(self):
derChk = lambda m: [self.survey.dpred(m), lambda mx: self.p.Jvec(self.m0, mx)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
def test_adjoint(self):
# Adjoint Test
u = np.random.rand(self.mesh.nC*self.survey.nSrc)
v = np.random.rand(self.mesh.nC)
w = np.random.rand(self.survey.dobs.shape[0])
wtJv = w.dot(self.p.Jvec(self.m0, v))
vtJtw = v.dot(self.p.Jtvec(self.m0, w))
passed = np.abs(wtJv - vtJtw) < 1e-10
print 'Adjoint Test', np.abs(wtJv - vtJtw), passed
self.assertTrue(passed)
def test_dataObj(self):
derChk = lambda m: [self.dmis.eval(m), self.dmis.evalDeriv(m)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
class IPProblemTestsN(unittest.TestCase):
def setUp(self):
aSpacing=2.5
nElecs=5
surveySize = nElecs*aSpacing - aSpacing
cs = surveySize/nElecs/4
mesh = Mesh.TensorMesh([
[(cs,10, -1.3),(cs,surveySize/cs),(cs,10, 1.3)],
[(cs,3, -1.3),(cs,3,1.3)],
# [(cs,5, -1.3),(cs,10)]
],'CN')
srcList = DC.Utils.WennerSrcList(nElecs, aSpacing, in2D=True)
survey = IP.Survey(srcList)
sigma = np.ones(mesh.nC)
problem = IP.Problem3D_N(mesh, sigma=sigma)
problem.pair(survey)
mSynth = np.ones(mesh.nC)*0.1
survey.makeSyntheticData(mSynth)
# Now set up the problem to do some minimization
dmis = DataMisfit.l2_DataMisfit(survey)
reg = Regularization.Tikhonov(mesh)
opt = Optimization.InexactGaussNewton(maxIterLS=20, maxIter=10, tolF=1e-6, tolX=1e-6, tolG=1e-6, maxIterCG=6)
invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta=1e4)
inv = Inversion.BaseInversion(invProb)
self.inv = inv
self.reg = reg
self.p = problem
self.mesh = mesh
self.m0 = mSynth
self.survey = survey
self.dmis = dmis
def test_misfit(self):
derChk = lambda m: [self.survey.dpred(m), lambda mx: self.p.Jvec(self.m0, mx)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
def test_adjoint(self):
# Adjoint Test
u = np.random.rand(self.mesh.nC*self.survey.nSrc)
v = np.random.rand(self.mesh.nC)
w = np.random.rand(self.survey.dobs.shape[0])
wtJv = w.dot(self.p.Jvec(self.m0, v))
vtJtw = v.dot(self.p.Jtvec(self.m0, w))
passed = np.abs(wtJv - vtJtw) < 1e-8
print 'Adjoint Test', np.abs(wtJv - vtJtw), passed
self.assertTrue(passed)
def test_dataObj(self):
derChk = lambda m: [self.dmis.eval(m), self.dmis.evalDeriv(m)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
if __name__ == '__main__':
unittest.main()