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Author SHA1 Message Date
Rowan Cockett 51c112a529 Updates to documentation and DC utilities. 2016-06-26 16:07:35 -06:00
Rowan Cockett 57f8e35db7 Merge remote-tracking branch 'refs/remotes/origin/dev'
Conflicts:
	SimPEG/DCIP/BaseDC.py
	SimPEG/DCIP/BaseIP.py
2016-06-26 14:08:28 -06:00
Rowan Cockett 16a016e9ac switch coverage and delete old tests. 2016-05-31 14:09:57 -07:00
Rowan Cockett c9017bd180 Delete DCIP folder. 2016-05-31 08:42:52 -07:00
15 changed files with 22 additions and 1808 deletions
+1 -1
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@@ -18,7 +18,7 @@ env:
- TEST_DIR="tests/mesh tests/base tests/utils"
- TEST_DIR=tests/em/fdem/inverse/derivs
- TEST_DIR=tests/em/tdem
- TEST_DIR=tests/dcip
- TEST_DIR=tests/em/static
- TEST_DIR=tests/flow
- TEST_DIR=tests/mt
- TEST_DIR=tests/examples
-292
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@@ -1,292 +0,0 @@
from SimPEG import *
class FieldsDC_CC(Problem.Fields):
knownFields = {'phi_sol':'CC'}
aliasFields = {
'phi' : ['phi_sol','CC','_phi'],
'e' : ['phi_sol','F','_e'],
'j' : ['phi_sol','F','_j']
}
def __init__(self,mesh,survey,**kwargs):
super(FieldsDC_CC, self).__init__(mesh, survey, **kwargs)
def startup(self):
self._cellGrad = self.survey.prob.mesh.cellGrad
self._Mfinv = self.survey.prob.mesh.getFaceInnerProduct(invMat=True)
def _phi(self, phi_sol, srcList):
phi = phi_sol
# for i, src in enumerate(srcList):
# phi_p = src.phi_p(self.survey.prob)
# if phi_p is not None:
# phi[:,i] += phi_p
return phi
def _e(self, phi_sol, srcList):
e = -self._cellGrad*phi_sol
# for i, src in enumerate(srcList):
# e_p = src.e_p(self.survey.prob)
# if e_p is not None:
# e[:,i] += e_p
return e
def _j(self, phi_sol, srcList):
j = -self._Mfinv*self.survey.prob.Msig*self._cellGrad*phi_sol
# for i, src in enumerate(srcList):
# j_p = src.j_p(self.survey.prob)
# if j_p is not None:
# j[:,i] += j_p
return j
class SrcDipole(Survey.BaseSrc):
"""A dipole source, locA and locB are moved to the closest cell-centers"""
current = 1
loc = None
# _rhsDict = None
def __init__(self, rxList, locA, locB, **kwargs):
self.loc = (locA, locB)
super(SrcDipole, self).__init__(rxList, **kwargs)
def eval(self, prob):
# Recompute rhs
# if getattr(self, '_rhsDict', None) is None:
# self._rhsDict = {}
# if mesh not in self._rhsDict:
pts = [self.loc[0], self.loc[1]]
inds = Utils.closestPoints(prob.mesh, pts)
q = np.zeros(prob.mesh.nC)
q[inds] = - self.current * ( np.r_[1., -1.] / prob.mesh.vol[inds] )
# self._rhsDict[mesh] = q
# return self._rhsDict[mesh]
return q
class RxDipole(Survey.BaseRx):
"""A dipole source, locA and locB are moved to the closest cell-centers"""
def __init__(self, locsM, locsN, **kwargs):
locs = (locsM, locsN)
assert locsM.shape == locsN.shape, 'locs must be the same shape.'
super(RxDipole, self).__init__(locs, 'dipole', storeProjections=False, **kwargs)
@property
def nD(self):
"""Number of data in the receiver."""
return self.locs[0].shape[0]
def getP(self, mesh):
P0 = mesh.getInterpolationMat(self.locs[0], self.projGLoc)
P1 = mesh.getInterpolationMat(self.locs[1], self.projGLoc)
return P0 - P1
class SurveyDC(Survey.BaseSurvey):
"""
**SurveyDC**
Geophysical DC resistivity data.
"""
uncert = None
def __init__(self, srcList, **kwargs):
self.srcList = srcList
Survey.BaseSurvey.__init__(self, **kwargs)
# self._rhsDict = {}
self._Ps = {}
def eval(self, u):
"""
Predicted data.
.. math::
d_\\text{pred} = Pu(m)
"""
P = self.getP(self.prob.mesh)
return P*mkvc(u[self.srcList, 'phi_sol'])
def getP(self, mesh):
if mesh in self._Ps:
return self._Ps[mesh]
P_src = [sp.vstack([rx.getP(mesh) for rx in src.rxList]) for src in self.srcList]
self._Ps[mesh] = sp.block_diag(P_src)
return self._Ps[mesh]
class ProblemDC_CC(Problem.BaseProblem):
"""
**ProblemDC**
Geophysical DC resistivity problem.
"""
surveyPair = SurveyDC
Solver = Solver
fieldsPair = FieldsDC_CC
Ainv = None
def __init__(self, mesh, **kwargs):
Problem.BaseProblem.__init__(self, mesh)
self.mesh.setCellGradBC('neumann')
Utils.setKwargs(self, **kwargs)
deleteTheseOnModelUpdate = ['_A', '_Msig', '_dMdsig']
@property
def Msig(self):
if getattr(self, '_Msig', None) is None:
sigma = self.curModel.transform
Av = self.mesh.aveF2CC
self._Msig = Utils.sdiag(1/(self.mesh.dim * Av.T * (1/sigma)))
return self._Msig
@property
def dMdsig(self):
if getattr(self, '_dMdsig', None) is None:
sigma = self.curModel.transform
Av = self.mesh.aveF2CC
dMdprop = self.mesh.dim * Utils.sdiag(self.Msig.diagonal()**2) * Av.T * Utils.sdiag(1./sigma**2)
self._dMdsig = lambda Gu: Utils.sdiag(Gu) * dMdprop
return self._dMdsig
@property
def A(self):
"""
Makes the matrix A(m) for the DC resistivity problem.
:param numpy.ndarray m: model
:rtype: scipy.sparse.csc_matrix
:return: A(m)
.. math::
c(m,u) = A(m)u - q = G\\text{sdiag}(M(mT(m)))Du - q = 0
Where M() is the mass matrix and mT is the model transform.
"""
if getattr(self, '_A', None) is None:
D = self.mesh.faceDiv
G = self.mesh.cellGrad
self._A = D*self.Msig*G
# Remove the null space from the matrix.
self._A[0,0] /= self.mesh.vol[0]
self._A = self._A.tocsc()
return self._A
def getRHS(self):
# if self.mesh not in self._rhsDict:
RHS = np.array([src.eval(self) for src in self.survey.srcList]).T
# self._rhsDict[mesh] = RHS
# return self._rhsDict[mesh]
return RHS
def fields(self, m):
F = self.fieldsPair(self.mesh, self.survey)
self.curModel = m
A = self.A
self.Ainv = self.Solver(A, **self.solverOpts)
RHS = self.getRHS()
Phi = self.Ainv * RHS
Srcs = self.survey.srcList
F[Srcs, 'phi_sol'] = Phi
return F
def Jvec(self, m, v, f=None):
"""
:param numpy.array m: model
:param numpy.array v: vector to multiply
:param Fields f: fields
:rtype: numpy.array
:return: Jv
.. math::
c(m,u) = A(m)u - q = G\\text{sdiag}(M(mT(m)))Du - q = 0
\\nabla_u (A(m)u - q) = A(m)
\\nabla_m (A(m)u - q) = G\\text{sdiag}(Du)\\nabla_m(M(mT(m)))
Where M() is the mass matrix and mT is the model transform.
.. math::
J = - P \left( \\nabla_u c(m, u) \\right)^{-1} \\nabla_m c(m, u)
J(v) = - P ( A(m)^{-1} ( G\\text{sdiag}(Du)\\nabla_m(M(mT(m))) v ) )
"""
# Set current model; clear dependent property $\mathbf{A(m)}$
self.curModel = m
sigma = self.curModel.transform # $\sigma = \mathcal{M}(\m)$
if f is None:
# Run forward simulation if $u$ not provided
f = self.fields(self.curModel)
u = f[self.survey.srcList, 'phi_sol']
D = self.mesh.faceDiv
G = self.mesh.cellGrad
# Derivative of model transform, $\deriv{\sigma}{\m}$
dsigdm_x_v = self.curModel.transformDeriv * v
# Take derivative of $C(m,u)$ w.r.t. $m$
dCdm_x_v = np.empty_like(u)
# loop over fields for each source
for i in range(self.survey.nSrc):
# Derivative of inner product, $\left(\mathbf{M}_{1/\sigma}^f\right)^{-1}$
dAdsig = D * self.dMdsig( G * u[:,i] )
dCdm_x_v[:, i] = dAdsig * dsigdm_x_v
# Take derivative of $C(m,u)$ w.r.t. $u$
dA_du = self.A
# Solve for $\deriv{u}{m}$
# dCdu_inv = self.Solver(dCdu, **self.solverOpts)
if self.Ainv is None:
self.Ainv = self.Solver(dA_du, **self.solverOpts)
P = self.survey.getP(self.mesh)
Jv = - P * mkvc( self.Ainv * dCdm_x_v )
return Jv
def Jtvec(self, m, v, f=None):
self.curModel = m
sigma = self.curModel.transform # $\sigma = \mathcal{M}(\m)$
if f is None:
# Run forward simulation if $f$ not provided
f = self.fields(self.curModel)
u = f[self.survey.srcList, 'phi_sol']
shp = u.shape
P = self.survey.getP(self.mesh)
PT_x_v = (P.T*v).reshape(shp, order='F')
D = self.mesh.faceDiv
G = self.mesh.cellGrad
dA_du = self.A
mT_dm = self.mapping.deriv(m)
# We probably always need this due to the linesearch .. (?)
self.Ainv = self.Solver(dA_du.T, **self.solverOpts)
# if self.Ainv is None:
# self.Ainv = self.Solver(dCdu, **self.solverOpts)
w = self.Ainv * PT_x_v
Jtv = 0
for i, ui in enumerate(u.T): # loop over each column
Jtv += self.dMdsig( G * ui ).T * ( D.T * w[:,i] )
Jtv = - mT_dm.T * ( Jtv )
return Jtv
-182
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@@ -1,182 +0,0 @@
from SimPEG import *
from BaseDC import SurveyDC, FieldsDC_CC
class SurveyIP(SurveyDC):
"""
**SurveyDC**
Geophysical DC resistivity data.
"""
def __init__(self, srcList, **kwargs):
self.srcList = srcList
Survey.BaseSurvey.__init__(self, **kwargs)
self._Ps = {}
def dpred(self, m, f=None):
"""
Predicted data.
.. math::
d_\\text{pred} = Pf(m)
"""
return self.prob.forward(m)
class ProblemIP(Problem.BaseProblem):
"""
**ProblemIP**
Geophysical IP resistivity problem.
"""
surveyPair = SurveyDC
Solver = Solver
sigma = None
Ainv = None
u = None
def __init__(self, mesh, **kwargs):
Problem.BaseProblem.__init__(self, mesh)
self.mesh.setCellGradBC('neumann')
Utils.setKwargs(self, **kwargs)
# deleteTheseOnModelUpdate = ['_A', '_Msig', '_dMdsig']
@property
def Msig(self):
if getattr(self, '_Msig', None) is None:
# sigma = self.curModel.transform
sigma = self.sigma
Av = self.mesh.aveF2CC
self._Msig = Utils.sdiag(1/(self.mesh.dim * Av.T * (1/sigma)))
return self._Msig
@property
def dMdsig(self):
if getattr(self, '_dMdsig', None) is None:
# sigma = self.curModel.transform
sigma = self.sigma
Av = self.mesh.aveF2CC
dMdprop = self.mesh.dim * Utils.sdiag(self.Msig.diagonal()**2) * Av.T * Utils.sdiag(1./sigma**2)
self._dMdsig = lambda Gu: Utils.sdiag(Gu) * dMdprop
return self._dMdsig
@property
def A(self):
"""
Makes the matrix A(m) for the DC resistivity problem.
:param numpy.array m: model
:rtype: scipy.sparse.csc_matrix
:return: A(m)
.. math::
c(m,u) = A(m)u - q = G\\text{sdiag}(M(mT(m)))Du - q = 0
Where M() is the mass matrix and mT is the model transform.
"""
if getattr(self, '_A', None) is None:
D = self.mesh.faceDiv
G = self.mesh.cellGrad
self._A = D*self.Msig*G
# Remove the null space from the matrix.
self._A[-1,-1] /= self.mesh.vol[-1]
self._A = self._A.tocsc()
return self._A
def getRHS(self):
# if self.mesh not in self._rhsDict:
RHS = np.array([src.eval(self) for src in self.survey.srcList]).T
# self._rhsDict[mesh] = RHS
# return self._rhsDict[mesh]
return RHS
def fields(self, m):
if self.u is None:
A = self.A
if self.Ainv == None:
self.Ainv = self.Solver(A, **self.solverOpts)
Q = self.getRHS()
self.u = self.Ainv * Q
return self.u
def forward(self, m, u=None):
# Set current model; clear dependent property $\mathbf{A(m)}$
self.curModel = m
# sigma = self.curModel.transform # $\sigma = \mathcal{M}(\m)$
sigma = self.sigma
if self.u is None:
# Run forward simulation if $u$ not provided
u = self.fields(sigma)
shp = (self.mesh.nC, self.survey.nSrc)
u = self.u.reshape(shp, order='F')
D = self.mesh.faceDiv
G = self.mesh.cellGrad
# Derivative of model transform, $\deriv{\sigma}{\m}$
# dsigdm_x_v = self.curModel.transformDeriv * v
dsigdm_x_v = Utils.sdiag(sigma) * self.curModel.transformDeriv * m
# Take derivative of $C(m,u)$ w.r.t. $m$
dCdm_x_v = np.empty_like(u)
# loop over fields for each source
for i in range(self.survey.nSrc):
# Derivative of inner product, $\left(\mathbf{M}_{1/\sigma}^f\right)^{-1}$
dAdsig = D * self.dMdsig( G * u[:,i] )
dCdm_x_v[:, i] = dAdsig * dsigdm_x_v
# Take derivative of $C(m,u)$ w.r.t. $u$
if self.Ainv == None:
self.Ainv = self.Solver(A, **self.solverOpts)
# dCdu = self.A
# Solve for $\deriv{u}{m}$
# dCdu_inv = self.Solver(dCdu, **self.solverOpts)
P = self.survey.getP(self.mesh)
J_x_v = - P * mkvc( self.Ainv * dCdm_x_v )
return -J_x_v
def Jvec(self, m, v, f=None):
return self.forward(v)
def Jtvec(self, m, v, f=None):
self.curModel = m
# sigma = self.curModel.transform # $\sigma = \mathcal{M}(\m)$
sigma = self.sigma
if self.u is None:
u = self.fields(sigma)
else:
u = self.u
shp = (self.mesh.nC, self.survey.nSrc)
u = u.reshape(shp, order='F')
P = self.survey.getP(self.mesh)
PT_x_v = (P.T*v).reshape(shp, order='F')
D = self.mesh.faceDiv
G = self.mesh.cellGrad
A = self.A
mT_dm = Utils.sdiag(sigma)*self.mapping.deriv(m)
# mT_dm = self.mapping.deriv(m)
# dCdu = A.T
# Ainv = self.Solver(dCdu, **self.solverOpts)
# if self.Ainv == None:
self.Ainv = self.Solver(A.T, **self.solverOpts)
w = self.Ainv * PT_x_v
Jtv = 0
for i, ui in enumerate(u.T): # loop over each column
Jtv += self.dMdsig( G * ui ).T * ( D.T * w[:,i] )
Jtv = - mT_dm.T * ( Jtv )
return -Jtv
File diff suppressed because it is too large Load Diff
-38
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@@ -1,38 +0,0 @@
import numpy as np
def WennerSrcList(nElecs, aSpacing, in2D=False, plotIt=False):
import SimPEG.DCIP as DC
elocs = np.arange(0,aSpacing*nElecs,aSpacing)
elocs -= (nElecs*aSpacing - aSpacing)/2
space = 1
WENNER = np.zeros((0,),dtype=int)
for ii in range(nElecs):
for jj in range(nElecs):
test = np.r_[jj,jj+space,jj+space*2,jj+space*3]
if np.any(test >= nElecs):
break
WENNER = np.r_[WENNER, test]
space += 1
WENNER = WENNER.reshape((-1,4))
if plotIt:
for i, s in enumerate('rbkg'):
plt.plot(elocs[WENNER[:,i]],s+'.')
plt.show()
# Create sources and receivers
i = 0
if in2D:
getLoc = lambda ii, abmn: np.r_[elocs[WENNER[ii,abmn]],0]
else:
getLoc = lambda ii, abmn: np.r_[elocs[WENNER[ii,abmn]],0, 0]
srcList = []
for i in range(WENNER.shape[0]):
rx = DC.RxDipole(getLoc(i,1),getLoc(i,2))
src = DC.SrcDipole([rx], getLoc(i,0),getLoc(i,3))
srcList += [src]
return srcList
-4
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@@ -1,4 +0,0 @@
from BaseDC import *
from BaseIP import *
from DCIPUtils import *
import Utils
+9 -7
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@@ -219,10 +219,12 @@ def gen_DCIPsurvey(endl, mesh, stype, a, b, n):
for ii in range(0, int(nstn)-1):
if stype == 'dpdp':
if stype == 'dipole-dipole':
tx = np.c_[M[ii,:],N[ii,:]]
elif stype == 'pdp':
elif stype == 'pole-dipole':
tx = np.c_[M[ii,:],M[ii,:]]
else:
raise Exception('The stype must be "dipole-dipole" or "pole-dipole"')
# Rx.append(np.c_[M[ii+1:indx,:],N[ii+1:indx,:]])
@@ -256,10 +258,10 @@ def gen_DCIPsurvey(endl, mesh, stype, a, b, n):
P2 = np.c_[stn_x+a*dl_x, np.ones(nstn).T*ztop]
rxClass = DC.Rx.Dipole_ky(P1, P2)
if stype == 'dpdp':
srcClass = DC.Src.Dipole([rxClass], M[ii,:],N[ii,:])
elif stype == 'pdp':
srcClass = DC.Src.Pole([rxClass], M[ii,:])
if stype == 'dipole-dipole':
srcClass = DC.Src.Dipole([rxClass], M[ii,:],N[ii,:])
elif stype == 'pole-dipole':
srcClass = DC.Src.Pole([rxClass], M[ii,:])
SrcList.append(srcClass)
elif stype == 'gradient':
@@ -310,7 +312,7 @@ def gen_DCIPsurvey(endl, mesh, stype, a, b, n):
srcClass = DC.Src.Dipole([rxClass], M[0,:], N[-1,:])
SrcList.append(srcClass)
else:
print """stype must be either 'pdp', 'dpdp' or 'gradient'. """
print """stype must be either 'pole-dipole', 'dipole-dipole' or 'gradient'. """
return SrcList
+1
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@@ -1,3 +1,4 @@
import DC
import IP
import SIP
import Utils
+8 -2
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@@ -1,5 +1,5 @@
from SimPEG import Mesh, Utils, np, sp
import SimPEG.DCIP as DC
from SimPEG.EM.Static import DC, Utils as StaticUtils
import time
def run(loc=None, sig=None, radi=None, param=None, surveyType='dipole-dipole', unitType='appConductivity', plotIt=True):
@@ -74,7 +74,13 @@ def run(loc=None, sig=None, radi=None, param=None, surveyType='dipole-dipole', u
# We will handle the geometry of the survey for you and create all the combination of tx-rx along line
# [Tx, Rx] = DC.gen_DCIPsurvey(locs, mesh, surveyType, param[0], param[1], param[2])
survey, Tx, Rx = DC.gen_DCIPsurvey(locs, mesh, surveyType, param[0], param[1], param[2])
srcList = StaticUtils.gen_DCIPsurvey(locs, mesh, surveyType, param[0], param[1], param[2])
print(srcList)
raise Exception('The output of the function changed. We need to create the survey and get Rx to continue.')
# Something like this!
survey, Tx, Rx
# Define some global geometry
dl_len = np.sqrt( np.sum((locs[0,:] - locs[1,:])**2) )
+2 -2
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@@ -40,7 +40,7 @@
Direct Current Resistivity
**************************
`SimPEG.DCIP` uses SimPEG as the framework for the forward and inverse
`SimPEG.EM.Static.DC` and `SimPEG.EM.Static.IP` uses SimPEG as the framework for the forward and inverse
direct current (DC) resistivity and induced polarization (IP) geophysical problems.
@@ -150,7 +150,7 @@ Comparing to the analytic function:
API for DC codes
================
.. automodule:: SimPEG.DCIP.BaseDC
.. automodule:: SimPEG.EM.Static.DC
:show-inheritance:
:members:
:undoc-members:
+1 -1
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@@ -7,7 +7,7 @@ Todo: docs for IP!
API for IP codes
================
.. automodule:: SimPEG.DCIP.BaseIP
.. automodule:: SimPEG.EM.Static.IP
:show-inheritance:
:members:
:undoc-members:
-12
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@@ -1,12 +0,0 @@
import os
import glob
import unittest
if __name__ == '__main__':
test_file_strings = glob.glob('test_*.py')
module_strings = [str[0:len(str)-3] for str in test_file_strings]
suites = [unittest.defaultTestLoader.loadTestsFromName(str) for str
in module_strings]
testSuite = unittest.TestSuite(suites)
unittest.TextTestRunner(verbosity=2).run(testSuite)
-77
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@@ -1,77 +0,0 @@
import unittest
from SimPEG import *
import SimPEG.DCIP as DC
class DCProblemTests(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.SurveyDC(srcList)
problem = DC.ProblemDC_CC(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-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)
self.assertTrue(passed)
def test_massMatrices(self):
Gu = np.random.rand(self.mesh.nF)
def derChk(m):
self.p.curModel = m
return [self.p.Msig * Gu, self.p.dMdsig(Gu)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False)
self.assertTrue(passed)
if __name__ == '__main__':
unittest.main()
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import unittest
import SimPEG.DCIP as DC
from SimPEG import *
class IPforwardTests(unittest.TestCase):
def test_IPforward(self):
cs = 12.5
nc = 200/cs+1
hx = [(cs,7, -1.3),(cs,nc),(cs,7, 1.3)]
hy = [(cs,7, -1.3),(cs,int(nc/2+1)),(cs,7, 1.3)]
hz = [(cs,7, -1.3),(cs,int(nc/2+1))]
mesh = Mesh.TensorMesh([hx, hy, hz], 'CCN')
sighalf = 1e-2
sigma = np.ones(mesh.nC)*sighalf
p0 = np.r_[-50., 50., -50.]
p1 = np.r_[ 50.,-50., -150.]
blk_ind = Utils.ModelBuilder.getIndicesBlock(p0, p1, mesh.gridCC)
sigma[blk_ind] = 1e-3
eta = np.zeros_like(sigma)
eta[blk_ind] = 0.1
sigmaInf = sigma.copy()
sigma0 = sigma*(1-eta)
nElecs = 11
x_temp = np.linspace(-100, 100, nElecs)
aSpacing = x_temp[1]-x_temp[0]
y_temp = 0.
xyz = Utils.ndgrid(x_temp, np.r_[y_temp], np.r_[0.])
srcList = DC.Utils.WennerSrcList(nElecs,aSpacing)
survey = DC.SurveyDC(srcList)
imap = Maps.IdentityMap(mesh)
problem = DC.ProblemDC_CC(mesh, mapping=imap)
try:
from pymatsolver import MumpsSolver
solver = MumpsSolver
except ImportError, e:
solver = SolverLU
problem.Solver = solver
problem.pair(survey)
phi0 = survey.dpred(sigma0)
phiInf = survey.dpred(sigmaInf)
phiIP_true = phi0-phiInf
surveyIP = DC.SurveyIP(srcList)
problemIP = DC.ProblemIP(mesh, sigma=sigma)
problemIP.pair(surveyIP)
problemIP.Solver = solver
phiIP_approx = surveyIP.dpred(eta)
err = np.linalg.norm(phiIP_true-phiIP_approx) / np.linalg.norm(phiIP_true)
self.assertTrue(err < 0.02)
if __name__ == '__main__':
unittest.main()
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import unittest
from SimPEG import *
import SimPEG.DCIP as DC
class IPProblemTests(unittest.TestCase):
def setUp(self):
cs = 12.5
nc = 500/cs+1
hx = [(cs,0, -1.3),(cs,nc),(cs,0, 1.3)]
hy = [(cs,0, -1.3),(cs,int(nc/2+1)),(cs,0, 1.3)]
hz = [(cs,0, -1.3),(cs,int(nc/2+1))]
mesh = Mesh.TensorMesh([hx, hy, hz], 'CCN')
sighalf = 1e-2
sigma = np.ones(mesh.nC)*sighalf
p0 = np.r_[-50., 50., -50.]
p1 = np.r_[ 50.,-50., -150.]
blk_ind = Utils.ModelBuilder.getIndicesBlock(p0, p1, mesh.gridCC)
sigma[blk_ind] = 1e-3
eta = np.zeros_like(sigma)
eta[blk_ind] = 0.1
nElecs = 5
x_temp = np.linspace(-250, 250, nElecs)
aSpacing = x_temp[1]-x_temp[0]
y_temp = 0.
xyz = Utils.ndgrid(x_temp, np.r_[y_temp], np.r_[0.])
srcList = DC.Utils.WennerSrcList(nElecs,aSpacing)
survey = DC.SurveyIP(srcList)
imap = Maps.IdentityMap(mesh)
problem = DC.ProblemIP(mesh, sigma=sigma, mapping= imap)
problem.pair(survey)
try:
from pymatsolver import MumpsSolver
problem.Solver = MumpsSolver
except ImportError, e:
problem.Solver = SolverLU
mSynth = eta
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*0, 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-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)
self.assertTrue(passed)
if __name__ == '__main__':
unittest.main()