from __future__ import print_function from __future__ import unicode_literals from __future__ import division from __future__ import absolute_import from future import standard_library standard_library.install_aliases() 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): 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_N(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-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()