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simpeg/tests/em/static/test_DC_2D_jvecjtvecadj.py
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2016-04-28 18:13:18 -07:00

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Python

import unittest
from SimPEG import *
import SimPEG.EM.Static.DC as DC
class DCProblem_2DTestsCC(unittest.TestCase):
def setUp(self):
cs = 12.5
hx = [(cs,7, -1.3),(cs,61),(cs,7, 1.3)]
hy = [(cs,7, -1.3),(cs,20)]
mesh = Mesh.TensorMesh([hx, hy],x0="CN")
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)]]
rx = DC.Rx.Dipole_ky(M, N)
src0 = DC.Src.Pole([rx], A0loc)
src1 = DC.Src.Pole([rx], A1loc)
survey = DC.Survey_ky([src0, src1])
problem = DC.Problem2D_CC(mesh, mapping=[('rho', Maps.IdentityMap(mesh))])
problem.pair(survey)
mSynth = np.ones(mesh.nC)*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=1e0)
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 DCProblemTestsN(unittest.TestCase):
# def setUp(self):
# aSpacing=2.5
# nElecs=10
# 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 = DC.Survey(srcList)
# problem = DC.Problem3D_N(mesh, mapping=[('rho', Maps.IdentityMap(mesh))])
# problem.pair(survey)
# mSynth = np.ones(mesh.nC)
# 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)
# 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)
# self.assertTrue(passed)
if __name__ == '__main__':
unittest.main()