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https://github.com/wassname/simpeg.git
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Fix derivatives.
This commit is contained in:
rowanc1
@@ -34,11 +34,11 @@ class MagneticsDiffSecondary(Problem.BaseProblem):
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def makeMassMatrices(self, m):
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mu = self.mapping.transform(m)
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self._MfMui = self.mesh.getFaceInnerProduct(1./mu)
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self._MfMui = self.mesh.getFaceInnerProduct(1./mu)/self.mesh.dim
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# self._MfMui = self.mesh.getFaceInnerProduct(1./mu)
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#TODO: this will break if tensor mu
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self._MfMuI = Utils.sdiag(1./self._MfMui.diagonal())
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self._MfMu0 = self.mesh.getFaceInnerProduct(1./mu_0)
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self._MfMu0 = self.mesh.getFaceInnerProduct(1./mu_0)/self.mesh.dim
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# self._MfMu0 = self.mesh.getFaceInnerProduct(1/mu_0)
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@Utils.requires('survey')
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@@ -56,226 +56,226 @@ class MagSensProblemTests(unittest.TestCase):
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# def test_mass(self):
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# print '\n >>Derivative for MfMuI works.'
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# mu = self.model.transform(self.chi)
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# def MfmuI(mu):
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def test_mass(self):
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print '\n >>Derivative for MfMuI works.'
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mu = self.model.transform(self.chi)
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def MfmuI(mu):
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# chi = mu/mu_0-1
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# self.prob.makeMassMatrices(chi)
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# vol = self.prob.mesh.vol
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# aveF2CC = self.prob.mesh.aveF2CC
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# MfMuI = self.prob.MfMuI.diagonal()
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chi = mu/mu_0-1
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self.prob.makeMassMatrices(chi)
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vol = self.prob.mesh.vol
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aveF2CC = self.prob.mesh.aveF2CC
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MfMuI = self.prob.MfMuI.diagonal()
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# return MfMuI
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return MfMuI
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# def dMfmuI(mu, v):
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def dMfmuI(mu, v):
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# chi = mu/mu_0-1
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# self.prob.makeMassMatrices(chi)
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# vol = self.prob.mesh.vol
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# aveF2CC = self.prob.mesh.aveF2CC
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# MfMuI = self.prob.MfMuI.diagonal()
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# dMfMuI = Utils.sdiag(MfMuI**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2)
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chi = mu/mu_0-1
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self.prob.makeMassMatrices(chi)
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vol = self.prob.mesh.vol
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aveF2CC = self.prob.mesh.aveF2CC
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MfMuI = self.prob.MfMuI.diagonal()
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dMfMuI = Utils.sdiag(MfMuI**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2)
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# return dMfMuI*v
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return dMfMuI*v
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# d_mu = mu*0.8
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# derChk = lambda m: [MfmuI(m), lambda mx: dMfmuI(self.chi, mx)]
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# passed = Tests.checkDerivative(derChk, mu, num=4, dx = d_mu, plotIt=False)
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d_mu = mu*0.8
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derChk = lambda m: [MfmuI(m), lambda mx: dMfmuI(self.chi, mx)]
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passed = Tests.checkDerivative(derChk, mu, num=4, dx = d_mu, plotIt=False)
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# self.assertTrue(passed)
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self.assertTrue(passed)
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# def test_dCdm_Av(self):
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# print '\n >>Derivative for Cm_A.'
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# Div = self.prob._Div
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# vol = self.prob.mesh.vol
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# aveF2CC = self.prob.mesh.aveF2CC
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def test_dCdm_Av(self):
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print '\n >>Derivative for Cm_A.'
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Div = self.prob._Div
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vol = self.prob.mesh.vol
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aveF2CC = self.prob.mesh.aveF2CC
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# def Cm_A(chi):
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# dmudm = self.model.transformDeriv(chi)
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# u = self.u
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# # chi = mu/mu_0-1
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# self.prob.makeMassMatrices(chi)
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# mu = self.model.transform(self.chi)
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# A = self.prob.getA(self.chi)
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# MfMuIvec = 1/self.prob.MfMui.diagonal()
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# dMfMuI = Utils.sdiag(MfMuIvec**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2)
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def Cm_A(chi):
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dmudm = self.model.transformDeriv(chi)
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u = self.u
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# chi = mu/mu_0-1
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self.prob.makeMassMatrices(chi)
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mu = self.model.transform(self.chi)
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A = self.prob.getA(self.chi)
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MfMuIvec = 1/self.prob.MfMui.diagonal()
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dMfMuI = Utils.sdiag(MfMuIvec**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2)
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# Cm_A = A*u
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Cm_A = A*u
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# return Cm_A
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return Cm_A
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# def dCdm_A(chi, v):
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def dCdm_A(chi, v):
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# dmudm = self.model.transformDeriv(chi)
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# u = self.u
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# self.prob.makeMassMatrices(chi)
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# mu = self.model.transform(self.chi)
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# A = self.prob.getA(self.chi)
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# MfMuIvec = 1/self.prob.MfMui.diagonal()
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# dMfMuI = Utils.sdiag(MfMuIvec**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2)
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dmudm = self.model.transformDeriv(chi)
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u = self.u
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self.prob.makeMassMatrices(chi)
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mu = self.model.transform(self.chi)
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A = self.prob.getA(self.chi)
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MfMuIvec = 1/self.prob.MfMui.diagonal()
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dMfMuI = Utils.sdiag(MfMuIvec**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2)
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# Cm_A = A*u
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# dCdm_A = Div * ( Utils.sdiag( Div.T * u )* dMfMuI *dmudm )
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Cm_A = A*u
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dCdm_A = Div * ( Utils.sdiag( Div.T * u )* dMfMuI *dmudm )
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# return dCdm_A*v
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return dCdm_A*v
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# d_chi = self.chi*0.8
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# derChk = lambda m: [Cm_A(m), lambda mx: dCdm_A(self.chi, mx)]
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# passed = Tests.checkDerivative(derChk, self.chi, num=4, dx = d_chi, plotIt=False)
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# self.assertTrue(passed)
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d_chi = self.chi*0.8
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derChk = lambda m: [Cm_A(m), lambda mx: dCdm_A(self.chi, mx)]
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passed = Tests.checkDerivative(derChk, self.chi, num=4, dx = d_chi, plotIt=False)
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self.assertTrue(passed)
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# def test_dCdmu_RHS(self):
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# print '\n >>Derivative for Cm_RHS.'
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# u = self.u
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# Div = self.prob._Div
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# mu = self.model.transform(self.chi)
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# vol = self.prob.mesh.vol
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# Mc = Utils.sdiag(vol)
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# aveF2CC = self.prob.mesh.aveF2CC
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# B0 = self.prob.getB0()
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# Dface = self.prob.mesh.faceDiv
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def test_dCdmu_RHS(self):
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print '\n >>Derivative for Cm_RHS.'
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u = self.u
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Div = self.prob._Div
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mu = self.model.transform(self.chi)
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vol = self.prob.mesh.vol
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Mc = Utils.sdiag(vol)
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aveF2CC = self.prob.mesh.aveF2CC
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B0 = self.prob.getB0()
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Dface = self.prob.mesh.faceDiv
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# def Cm_RHS(chi):
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def Cm_RHS(chi):
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# self.prob.makeMassMatrices(chi)
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# dmudm = self.model.transformDeriv(chi)
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# dchidmu = Utils.sdiag(1/(dmudm.diagonal()))
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# Bbc, Bbc_const = PF.MagAnalytics.CongruousMagBC(self.prob.mesh, self.survey.B0, chi)
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# MfMuIvec = 1/self.prob.MfMui.diagonal()
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# dMfMuI = Utils.sdiag(MfMuIvec**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2)
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# RHS1 = Div*self.prob.MfMuI*self.prob.MfMu0*B0
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# RHS2 = Mc*Dface*self.prob._Pout.T*Bbc
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# RHS = RHS1 + RHS2 + Div*B0
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self.prob.makeMassMatrices(chi)
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dmudm = self.model.transformDeriv(chi)
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dchidmu = Utils.sdiag(1/(dmudm.diagonal()))
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Bbc, Bbc_const = PF.MagAnalytics.CongruousMagBC(self.prob.mesh, self.survey.B0, chi)
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MfMuIvec = 1/self.prob.MfMui.diagonal()
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dMfMuI = Utils.sdiag(MfMuIvec**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2)
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RHS1 = Div*self.prob.MfMuI*self.prob.MfMu0*B0
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RHS2 = Mc*Dface*self.prob._Pout.T*Bbc
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RHS = RHS1 + RHS2 + Div*B0
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# return RHS
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return RHS
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# def dCdm_RHS(chi, v):
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def dCdm_RHS(chi, v):
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# self.prob.makeMassMatrices(chi)
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# dmudm = self.model.transformDeriv(chi)
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# dmdmu = Utils.sdiag(1/(dmudm.diagonal()))
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# Bbc, Bbc_const = PF.MagAnalytics.CongruousMagBC(self.prob.mesh, self.survey.B0, chi)
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# MfMuIvec = 1/self.prob.MfMui.diagonal()
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# dMfMuI = Utils.sdiag(MfMuIvec**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2)
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# dCdm_RHS1 = Div * (Utils.sdiag( self.prob.MfMu0*B0 ) * dMfMuI)
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# temp1 = (Dface*(self.prob._Pout.T*Bbc_const*Bbc))
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# dCdm_RHS2v = (Utils.sdiag(vol)*temp1)*np.inner(vol, v)
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# dCdm_RHSv = dCdm_RHS1*(dmudm*v) + dCdm_RHS2v
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self.prob.makeMassMatrices(chi)
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dmudm = self.model.transformDeriv(chi)
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dmdmu = Utils.sdiag(1/(dmudm.diagonal()))
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Bbc, Bbc_const = PF.MagAnalytics.CongruousMagBC(self.prob.mesh, self.survey.B0, chi)
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MfMuIvec = 1/self.prob.MfMui.diagonal()
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dMfMuI = Utils.sdiag(MfMuIvec**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2)
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dCdm_RHS1 = Div * (Utils.sdiag( self.prob.MfMu0*B0 ) * dMfMuI)
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temp1 = (Dface*(self.prob._Pout.T*Bbc_const*Bbc))
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dCdm_RHS2v = (Utils.sdiag(vol)*temp1)*np.inner(vol, v)
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dCdm_RHSv = dCdm_RHS1*(dmudm*v) + dCdm_RHS2v
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# return dCdm_RHSv
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return dCdm_RHSv
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# d_chi = self.chi*0.8
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# derChk = lambda m: [Cm_RHS(m), lambda mx: dCdm_RHS(self.chi, mx)]
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# passed = Tests.checkDerivative(derChk, self.chi, num=4, dx = d_chi, plotIt=False)
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# self.assertTrue(passed)
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d_chi = self.chi*0.8
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derChk = lambda m: [Cm_RHS(m), lambda mx: dCdm_RHS(self.chi, mx)]
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passed = Tests.checkDerivative(derChk, self.chi, num=4, dx = d_chi, plotIt=False)
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self.assertTrue(passed)
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# def test_dudm(self):
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# print ">> Derivative test for dudm"
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# u = self.u
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# Div = self.prob._Div
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# mu = self.model.transform(self.chi)
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# vol = self.prob.mesh.vol
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# Mc = Utils.sdiag(vol)
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# aveF2CC = self.prob.mesh.aveF2CC
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# B0 = self.prob.getB0()
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# Dface = self.prob.mesh.faceDiv
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def test_dudm(self):
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print ">> Derivative test for dudm"
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u = self.u
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Div = self.prob._Div
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mu = self.model.transform(self.chi)
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vol = self.prob.mesh.vol
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Mc = Utils.sdiag(vol)
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aveF2CC = self.prob.mesh.aveF2CC
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B0 = self.prob.getB0()
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Dface = self.prob.mesh.faceDiv
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# def ufun(chi):
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# u = self.prob.fields(chi)['u']
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# return u
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def ufun(chi):
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u = self.prob.fields(chi)['u']
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return u
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# def dudm(chi, v):
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def dudm(chi, v):
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# chi = mu/mu_0-1
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# self.prob.makeMassMatrices(chi)
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# u = self.u
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# dmudm = self.model.transformDeriv(chi)
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# dmdmu = Utils.sdiag(1/(dmudm.diagonal()))
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# Bbc, Bbc_const = PF.MagAnalytics.CongruousMagBC(self.prob.mesh, self.survey.B0, chi)
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# MfMuIvec = 1/self.prob.MfMui.diagonal()
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# dMfMuI = Utils.sdiag(MfMuIvec**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2)
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# dCdu = self.prob.getA(chi)
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# dCdm_A = Div * ( Utils.sdiag( Div.T * u )* dMfMuI *dmudm )
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# dCdm_RHS1 = Div * (Utils.sdiag( self.prob.MfMu0*B0 ) * dMfMuI)
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# temp1 = (Dface*(self.prob._Pout.T*Bbc_const*Bbc))
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# dCdm_RHS2v = (Utils.sdiag(vol)*temp1)*np.inner(vol, v)
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# dCdm_RHSv = dCdm_RHS1*(dmudm*v) + dCdm_RHS2v
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# dCdm_v = dCdm_A*v - dCdm_RHSv
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# m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(1/dCdu.diagonal()))
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# sol, info = sp.linalg.bicgstab(dCdu, dCdm_v, tol=1e-8, maxiter=1000, M=m1)
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chi = mu/mu_0-1
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self.prob.makeMassMatrices(chi)
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u = self.u
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dmudm = self.model.transformDeriv(chi)
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dmdmu = Utils.sdiag(1/(dmudm.diagonal()))
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Bbc, Bbc_const = PF.MagAnalytics.CongruousMagBC(self.prob.mesh, self.survey.B0, chi)
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MfMuIvec = 1/self.prob.MfMui.diagonal()
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dMfMuI = Utils.sdiag(MfMuIvec**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2)
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dCdu = self.prob.getA(chi)
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dCdm_A = Div * ( Utils.sdiag( Div.T * u )* dMfMuI *dmudm )
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dCdm_RHS1 = Div * (Utils.sdiag( self.prob.MfMu0*B0 ) * dMfMuI)
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temp1 = (Dface*(self.prob._Pout.T*Bbc_const*Bbc))
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dCdm_RHS2v = (Utils.sdiag(vol)*temp1)*np.inner(vol, v)
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dCdm_RHSv = dCdm_RHS1*(dmudm*v) + dCdm_RHS2v
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dCdm_v = dCdm_A*v - dCdm_RHSv
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m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(1/dCdu.diagonal()))
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sol, info = sp.linalg.bicgstab(dCdu, dCdm_v, tol=1e-8, maxiter=1000, M=m1)
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# dudm = -sol
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dudm = -sol
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# return dudm
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return dudm
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# d_chi = 10.0*self.chi #np.random.rand(mesh.nCz)
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# d_sph_ind = PF.MagAnalytics.spheremodel(self.prob.mesh, 0., 0., -50., 50)
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# d_chi[d_sph_ind] = 0.1
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d_chi = 10.0*self.chi #np.random.rand(mesh.nCz)
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d_sph_ind = PF.MagAnalytics.spheremodel(self.prob.mesh, 0., 0., -50., 50)
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d_chi[d_sph_ind] = 0.1
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# derChk = lambda m: [ufun(m), lambda mx: dudm(self.chi, mx)]
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# # TODO: I am not sure why the order get worse as step decreases .. --;
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# passed = Tests.checkDerivative(derChk, self.chi, num=2, dx = d_chi, plotIt=False)
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# self.assertTrue(passed)
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derChk = lambda m: [ufun(m), lambda mx: dudm(self.chi, mx)]
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# TODO: I am not sure why the order get worse as step decreases .. --;
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passed = Tests.checkDerivative(derChk, self.chi, num=2, dx = d_chi, plotIt=False)
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self.assertTrue(passed)
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# def test_dBdm(self):
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# print ">> Derivative test for dBdm"
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# u = self.u
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# Div = self.prob._Div
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# mu = self.model.transform(self.chi)
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# vol = self.prob.mesh.vol
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# Mc = Utils.sdiag(vol)
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# aveF2CC = self.prob.mesh.aveF2CC
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# B0 = self.prob.getB0()
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# Dface = self.prob.mesh.faceDiv
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def test_dBdm(self):
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print ">> Derivative test for dBdm"
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u = self.u
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Div = self.prob._Div
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mu = self.model.transform(self.chi)
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vol = self.prob.mesh.vol
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Mc = Utils.sdiag(vol)
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aveF2CC = self.prob.mesh.aveF2CC
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B0 = self.prob.getB0()
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Dface = self.prob.mesh.faceDiv
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# def Bfun(chi):
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# B = self.prob.fields(chi)['B']
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# return B
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def Bfun(chi):
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B = self.prob.fields(chi)['B']
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return B
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# def dBdm(chi, v):
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def dBdm(chi, v):
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# chi = mu/mu_0-1
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# self.prob.makeMassMatrices(chi)
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# u = self.u
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# dmudm = self.model.transformDeriv(chi)
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# dmdmu = Utils.sdiag(1/(dmudm.diagonal()))
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# Bbc, Bbc_const = PF.MagAnalytics.CongruousMagBC(self.prob.mesh, self.survey.B0, chi)
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# MfMuIvec = 1/self.prob.MfMui.diagonal()
|
||||
# dMfMuI = Utils.sdiag(MfMuIvec**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2)
|
||||
# dCdu = self.prob.getA(chi)
|
||||
# dCdm_A = Div * ( Utils.sdiag( Div.T * u )* dMfMuI *dmudm )
|
||||
# dCdm_RHS1 = Div * (Utils.sdiag( self.prob.MfMu0*B0 ) * dMfMuI)
|
||||
# temp1 = (Dface*(self.prob._Pout.T*Bbc_const*Bbc))
|
||||
# dCdm_RHS2v = (Utils.sdiag(vol)*temp1)*np.inner(vol, v)
|
||||
# dCdm_RHSv = dCdm_RHS1*(dmudm*v) + dCdm_RHS2v
|
||||
# dCdm_v = dCdm_A*v - dCdm_RHSv
|
||||
# m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(1/dCdu.diagonal()))
|
||||
# sol, info = sp.linalg.bicgstab(dCdu, dCdm_v, tol=1e-8, maxiter=1000, M=m1)
|
||||
chi = mu/mu_0-1
|
||||
self.prob.makeMassMatrices(chi)
|
||||
u = self.u
|
||||
dmudm = self.model.transformDeriv(chi)
|
||||
dmdmu = Utils.sdiag(1/(dmudm.diagonal()))
|
||||
Bbc, Bbc_const = PF.MagAnalytics.CongruousMagBC(self.prob.mesh, self.survey.B0, chi)
|
||||
MfMuIvec = 1/self.prob.MfMui.diagonal()
|
||||
dMfMuI = Utils.sdiag(MfMuIvec**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2)
|
||||
dCdu = self.prob.getA(chi)
|
||||
dCdm_A = Div * ( Utils.sdiag( Div.T * u )* dMfMuI *dmudm )
|
||||
dCdm_RHS1 = Div * (Utils.sdiag( self.prob.MfMu0*B0 ) * dMfMuI)
|
||||
temp1 = (Dface*(self.prob._Pout.T*Bbc_const*Bbc))
|
||||
dCdm_RHS2v = (Utils.sdiag(vol)*temp1)*np.inner(vol, v)
|
||||
dCdm_RHSv = dCdm_RHS1*(dmudm*v) + dCdm_RHS2v
|
||||
dCdm_v = dCdm_A*v - dCdm_RHSv
|
||||
m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(1/dCdu.diagonal()))
|
||||
sol, info = sp.linalg.bicgstab(dCdu, dCdm_v, tol=1e-8, maxiter=1000, M=m1)
|
||||
|
||||
# dudm = -sol
|
||||
# dBdmv = ( Utils.sdiag(self.prob.MfMu0*B0)*(dMfMuI * (dmudm*v)) \
|
||||
# - Utils.sdiag(Div.T*u)*(dMfMuI* (dmudm*v)) \
|
||||
# - self.prob.MfMuI*(Div.T* (dudm)) )
|
||||
dudm = -sol
|
||||
dBdmv = ( Utils.sdiag(self.prob.MfMu0*B0)*(dMfMuI * (dmudm*v)) \
|
||||
- Utils.sdiag(Div.T*u)*(dMfMuI* (dmudm*v)) \
|
||||
- self.prob.MfMuI*(Div.T* (dudm)) )
|
||||
|
||||
# return dBdmv
|
||||
return dBdmv
|
||||
|
||||
# d_chi = 10.0*self.chi #np.random.rand(mesh.nCz)
|
||||
# d_sph_ind = PF.MagAnalytics.spheremodel(self.prob.mesh, 0., 0., -50., 50)
|
||||
# d_chi[d_sph_ind] = 0.1
|
||||
d_chi = 10.0*self.chi #np.random.rand(mesh.nCz)
|
||||
d_sph_ind = PF.MagAnalytics.spheremodel(self.prob.mesh, 0., 0., -50., 50)
|
||||
d_chi[d_sph_ind] = 0.1
|
||||
|
||||
# derChk = lambda m: [Bfun(m), lambda mx: dBdm(self.chi, mx)]
|
||||
# # TODO: I am not sure why the order get worse as step decreases .. --;
|
||||
# passed = Tests.checkDerivative(derChk, self.chi, num=2, dx = d_chi, plotIt=False)
|
||||
# self.assertTrue(passed)
|
||||
derChk = lambda m: [Bfun(m), lambda mx: dBdm(self.chi, mx)]
|
||||
# TODO: I am not sure why the order get worse as step decreases .. --;
|
||||
passed = Tests.checkDerivative(derChk, self.chi, num=2, dx = d_chi, plotIt=False)
|
||||
self.assertTrue(passed)
|
||||
|
||||
|
||||
|
||||
@@ -291,21 +291,21 @@ class MagSensProblemTests(unittest.TestCase):
|
||||
passed = Tests.checkDerivative(derChk, self.chi, num=2, dx = d_chi, plotIt=False)
|
||||
self.assertTrue(passed)
|
||||
|
||||
# def test_Jtvec(self):
|
||||
# print ">> Derivative test for Jtvec"
|
||||
# dobs = self.survey.dpred(self.chi)
|
||||
def test_Jtvec(self):
|
||||
print ">> Derivative test for Jtvec"
|
||||
dobs = self.survey.dpred(self.chi)
|
||||
|
||||
# def misfit(m):
|
||||
# dpre = self.survey.dpred(m)
|
||||
# misfit = 0.5*np.linalg.norm(dpre-dobs)**2
|
||||
# residual = dpre-dobs
|
||||
# dmisfit = self.prob.Jtvec(self.chi, residual)
|
||||
def misfit(m):
|
||||
dpre = self.survey.dpred(m)
|
||||
misfit = 0.5*np.linalg.norm(dpre-dobs)**2
|
||||
residual = dpre-dobs
|
||||
dmisfit = self.prob.Jtvec(self.chi, residual)
|
||||
|
||||
# return misfit, dmisfit
|
||||
return misfit, dmisfit
|
||||
|
||||
# # TODO: I am not sure why the order get worse as step decreases .. --;
|
||||
# passed = Tests.checkDerivative(misfit, self.chi, num=4, plotIt=False)
|
||||
# self.assertTrue(passed)
|
||||
# TODO: I am not sure why the order get worse as step decreases .. --;
|
||||
passed = Tests.checkDerivative(misfit, self.chi, num=4, plotIt=False)
|
||||
self.assertTrue(passed)
|
||||
|
||||
if __name__ == '__main__':
|
||||
unittest.main()
|
||||
|
||||
Reference in New Issue
Block a user