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simpeg/tests/em/test_FDEM.py
T
Rowan Cockett e622dfb5cc Merge branch 'master' of https://github.com/simpeg/simpegem into em/dev 
Conflicts:
	.coveragerc
	.gitignore
	.travis.yml
	docs/api_Utils.rst
	docs/conf.py
	docs/index.rst
	requirements.txt
	setup.py
2015-11-04 09:59:11 -08:00

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import unittest
from SimPEG import *
from SimPEG import EM
import sys
from scipy.constants import mu_0
testDerivs = True
testCrossCheck = True
testAdjoint = True
testEB = True
testHJ = True
verbose = False
TOL = 1e-5
FLR = 1e-20 # "zero", so if residual below this --> pass regardless of order
CONDUCTIVITY = 1e1
MU = mu_0
freq = 1e-1
addrandoms = True
SrcType = 'RawVec' #or 'MAgDipole_Bfield', 'CircularLoop', 'RawVec'
def getProblem(fdemType, comp):
cs = 5.
ncx, ncy, ncz = 6, 6, 6
npad = 3
hx = [(cs,npad,-1.3), (cs,ncx), (cs,npad,1.3)]
hy = [(cs,npad,-1.3), (cs,ncy), (cs,npad,1.3)]
hz = [(cs,npad,-1.3), (cs,ncz), (cs,npad,1.3)]
mesh = Mesh.TensorMesh([hx,hy,hz],['C','C','C'])
mapping = Maps.ExpMap(mesh)
x = np.array([np.linspace(-30,-15,3),np.linspace(15,30,3)]) #don't sample right by the source
XYZ = Utils.ndgrid(x,x,np.r_[0.])
Rx0 = EM.FDEM.RxFDEM(XYZ, comp)
if SrcType is 'MagDipole':
Src = EM.FDEM.SrcFDEM_MagDipole([Rx0], freq=freq, loc=np.r_[0.,0.,0.])
elif SrcType is 'MagDipole_Bfield':
Src = EM.FDEM.SrcFDEM_MagDipole_Bfield([Rx0], freq=freq, loc=np.r_[0.,0.,0.])
elif SrcType is 'CircularLoop':
Src2 = EM.FDEM.SrcFDEM_CircularLoop([Rx0], freq=freq, loc=np.r_[0.,0.,0.])
if verbose:
print ' Fetching %s problem' % (fdemType)
if fdemType == 'e':
if SrcType is 'RawVec':
S_m = np.zeros(mesh.nF)
S_e = np.zeros(mesh.nE)
S_m[Utils.closestPoints(mesh,[0.,0.,0.],'Fz') + np.sum(mesh.vnF[:1])] = 1.
S_e[Utils.closestPoints(mesh,[0.,0.,0.],'Ez') + np.sum(mesh.vnE[:1])] = 1.
Src = EM.FDEM.SrcFDEM_RawVec([Rx0], freq, S_m, S_e)
survey = EM.FDEM.SurveyFDEM([Src])
prb = EM.FDEM.ProblemFDEM_e(mesh, mapping=mapping)
elif fdemType == 'b':
if SrcType is 'RawVec':
S_m = np.zeros(mesh.nF)
S_e = np.zeros(mesh.nE)
S_m[Utils.closestPoints(mesh,[0.,0.,0.],'Fz') + np.sum(mesh.vnF[:1])] = 1.
S_e[Utils.closestPoints(mesh,[0.,0.,0.],'Ez') + np.sum(mesh.vnE[:1])] = 1.
Src = EM.FDEM.SrcFDEM_RawVec([Rx0], freq, S_m, S_e)
survey = EM.FDEM.SurveyFDEM([Src])
prb = EM.FDEM.ProblemFDEM_b(mesh, mapping=mapping)
elif fdemType == 'j':
if SrcType is 'RawVec':
S_m = np.zeros(mesh.nE)
S_e = np.zeros(mesh.nF)
S_m[Utils.closestPoints(mesh,[0.,0.,0.],'Ez') + np.sum(mesh.vnE[:1])] = 1.
S_e[Utils.closestPoints(mesh,[0.,0.,0.],'Fz') + np.sum(mesh.vnF[:1])] = 1.
Src = EM.FDEM.SrcFDEM_RawVec([Rx0], freq, S_m, S_e)
survey = EM.FDEM.SurveyFDEM([Src])
prb = EM.FDEM.ProblemFDEM_j(mesh, mapping=mapping)
elif fdemType == 'h':
if SrcType is 'RawVec':
S_m = np.zeros(mesh.nE)
S_e = np.zeros(mesh.nF)
S_m[Utils.closestPoints(mesh,[0.,0.,0.],'Ez') + np.sum(mesh.vnE[:1])] = 1.
S_e[Utils.closestPoints(mesh,[0.,0.,0.],'Fz') + np.sum(mesh.vnF[:1])] = 1.
Src = EM.FDEM.SrcFDEM_RawVec([Rx0], freq, S_m, S_e)
survey = EM.FDEM.SurveyFDEM([Src])
prb = EM.FDEM.ProblemFDEM_h(mesh, mapping=mapping)
else:
raise NotImplementedError()
prb.pair(survey)
try:
from pymatsolver import MumpsSolver
prb.Solver = MumpsSolver
except ImportError, e:
pass
return prb
def adjointTest(fdemType, comp):
prb = getProblem(fdemType, comp)
print 'Adjoint %s formulation - %s' % (fdemType, comp)
m = np.log(np.ones(prb.mapping.nP)*CONDUCTIVITY)
mu = np.ones(prb.mesh.nC)*MU
if addrandoms is True:
m = m + np.random.randn(prb.mapping.nP)*np.log(CONDUCTIVITY)*1e-1
mu = mu + np.random.randn(prb.mesh.nC)*MU*1e-1
survey = prb.survey
# prb.PropMap.PropModel.mu = mu
# prb.PropMap.PropModel.mui = 1./mu
u = prb.fields(m)
v = np.random.rand(survey.nD)
w = np.random.rand(prb.mesh.nC)
vJw = v.dot(prb.Jvec(m, w, u))
wJtv = w.dot(prb.Jtvec(m, v, u))
tol = np.max([TOL*(10**int(np.log10(np.abs(vJw)))),FLR])
print vJw, wJtv, vJw - wJtv, tol, np.abs(vJw - wJtv) < tol
return np.abs(vJw - wJtv) < tol
def derivTest(fdemType, comp):
prb = getProblem(fdemType, comp)
print '%s formulation - %s' % (fdemType, comp)
x0 = np.log(np.ones(prb.mapping.nP)*CONDUCTIVITY)
mu = np.log(np.ones(prb.mesh.nC)*MU)
if addrandoms is True:
x0 = x0 + np.random.randn(prb.mapping.nP)*np.log(CONDUCTIVITY)*1e-1
mu = mu + np.random.randn(prb.mapping.nP)*MU*1e-1
# prb.PropMap.PropModel.mu = mu
# prb.PropMap.PropModel.mui = 1./mu
survey = prb.survey
def fun(x):
return survey.dpred(x), lambda x: prb.Jvec(x0, x)
return Tests.checkDerivative(fun, x0, num=3, plotIt=False, eps=FLR)
def crossCheckTest(fdemType, comp):
l2norm = lambda r: np.sqrt(r.dot(r))
prb1 = getProblem(fdemType, comp)
mesh = prb1.mesh
print 'Cross Checking Forward: %s formulation - %s' % (fdemType, comp)
m = np.log(np.ones(mesh.nC)*CONDUCTIVITY)
mu = np.log(np.ones(mesh.nC)*MU)
if addrandoms is True:
m = m + np.random.randn(mesh.nC)*np.log(CONDUCTIVITY)*1e-1
mu = mu + np.random.randn(mesh.nC)*MU*1e-1
# prb1.PropMap.PropModel.mu = mu
# prb1.PropMap.PropModel.mui = 1./mu
survey1 = prb1.survey
d1 = survey1.dpred(m)
if verbose:
print ' Problem 1 solved'
if fdemType == 'e':
prb2 = getProblem('b', comp)
elif fdemType == 'b':
prb2 = getProblem('e', comp)
elif fdemType == 'j':
prb2 = getProblem('h', comp)
elif fdemType == 'h':
prb2 = getProblem('j', comp)
else:
raise NotImplementedError()
# prb2.mu = mu
survey2 = prb2.survey
d2 = survey2.dpred(m)
if verbose:
print ' Problem 2 solved'
r = d2-d1
l2r = l2norm(r)
tol = np.max([TOL*(10**int(np.log10(l2norm(d1)))),FLR])
print l2norm(d1), l2norm(d2), l2r , tol, l2r < tol
return l2r < tol
class FDEM_DerivTests(unittest.TestCase):
if testDerivs:
if testEB:
def test_Jvec_exr_Eform(self):
self.assertTrue(derivTest('e', 'exr'))
def test_Jvec_eyr_Eform(self):
self.assertTrue(derivTest('e', 'eyr'))
def test_Jvec_ezr_Eform(self):
self.assertTrue(derivTest('e', 'ezr'))
def test_Jvec_exi_Eform(self):
self.assertTrue(derivTest('e', 'exi'))
def test_Jvec_eyi_Eform(self):
self.assertTrue(derivTest('e', 'eyi'))
def test_Jvec_ezi_Eform(self):
self.assertTrue(derivTest('e', 'ezi'))
def test_Jvec_bxr_Eform(self):
self.assertTrue(derivTest('e', 'bxr'))
def test_Jvec_byr_Eform(self):
self.assertTrue(derivTest('e', 'byr'))
def test_Jvec_bzr_Eform(self):
self.assertTrue(derivTest('e', 'bzr'))
def test_Jvec_bxi_Eform(self):
self.assertTrue(derivTest('e', 'bxi'))
def test_Jvec_byi_Eform(self):
self.assertTrue(derivTest('e', 'byi'))
def test_Jvec_bzi_Eform(self):
self.assertTrue(derivTest('e', 'bzi'))
def test_Jvec_exr_Bform(self):
self.assertTrue(derivTest('b', 'exr'))
def test_Jvec_eyr_Bform(self):
self.assertTrue(derivTest('b', 'eyr'))
def test_Jvec_ezr_Bform(self):
self.assertTrue(derivTest('b', 'ezr'))
def test_Jvec_exi_Bform(self):
self.assertTrue(derivTest('b', 'exi'))
def test_Jvec_eyi_Bform(self):
self.assertTrue(derivTest('b', 'eyi'))
def test_Jvec_ezi_Bform(self):
self.assertTrue(derivTest('b', 'ezi'))
def test_Jvec_bxr_Bform(self):
self.assertTrue(derivTest('b', 'bxr'))
def test_Jvec_byr_Bform(self):
self.assertTrue(derivTest('b', 'byr'))
def test_Jvec_bzr_Bform(self):
self.assertTrue(derivTest('b', 'bzr'))
def test_Jvec_bxi_Bform(self):
self.assertTrue(derivTest('b', 'bxi'))
def test_Jvec_byi_Bform(self):
self.assertTrue(derivTest('b', 'byi'))
def test_Jvec_bzi_Bform(self):
self.assertTrue(derivTest('b', 'bzi'))
if testHJ:
def test_Jvec_jxr_Jform(self):
self.assertTrue(derivTest('j', 'jxr'))
def test_Jvec_jyr_Jform(self):
self.assertTrue(derivTest('j', 'jyr'))
def test_Jvec_jzr_Jform(self):
self.assertTrue(derivTest('j', 'jzr'))
def test_Jvec_jxi_Jform(self):
self.assertTrue(derivTest('j', 'jxi'))
def test_Jvec_jyi_Jform(self):
self.assertTrue(derivTest('j', 'jyi'))
def test_Jvec_jzi_Jform(self):
self.assertTrue(derivTest('j', 'jzi'))
def test_Jvec_hxr_Jform(self):
self.assertTrue(derivTest('j', 'hxr'))
def test_Jvec_hyr_Jform(self):
self.assertTrue(derivTest('j', 'hyr'))
def test_Jvec_hzr_Jform(self):
self.assertTrue(derivTest('j', 'hzr'))
def test_Jvec_hxi_Jform(self):
self.assertTrue(derivTest('j', 'hxi'))
def test_Jvec_hyi_Jform(self):
self.assertTrue(derivTest('j', 'hyi'))
def test_Jvec_hzi_Jform(self):
self.assertTrue(derivTest('j', 'hzi'))
def test_Jvec_hxr_Hform(self):
self.assertTrue(derivTest('h', 'hxr'))
def test_Jvec_hyr_Hform(self):
self.assertTrue(derivTest('h', 'hyr'))
def test_Jvec_hzr_Hform(self):
self.assertTrue(derivTest('h', 'hzr'))
def test_Jvec_hxi_Hform(self):
self.assertTrue(derivTest('h', 'hxi'))
def test_Jvec_hyi_Hform(self):
self.assertTrue(derivTest('h', 'hyi'))
def test_Jvec_hzi_Hform(self):
self.assertTrue(derivTest('h', 'hzi'))
def test_Jvec_hxr_Hform(self):
self.assertTrue(derivTest('h', 'jxr'))
def test_Jvec_hyr_Hform(self):
self.assertTrue(derivTest('h', 'jyr'))
def test_Jvec_hzr_Hform(self):
self.assertTrue(derivTest('h', 'jzr'))
def test_Jvec_hxi_Hform(self):
self.assertTrue(derivTest('h', 'jxi'))
def test_Jvec_hyi_Hform(self):
self.assertTrue(derivTest('h', 'jyi'))
def test_Jvec_hzi_Hform(self):
self.assertTrue(derivTest('h', 'jzi'))
if testAdjoint:
if testEB:
def test_Jtvec_adjointTest_exr_Eform(self):
self.assertTrue(adjointTest('e', 'exr'))
def test_Jtvec_adjointTest_eyr_Eform(self):
self.assertTrue(adjointTest('e', 'eyr'))
def test_Jtvec_adjointTest_ezr_Eform(self):
self.assertTrue(adjointTest('e', 'ezr'))
def test_Jtvec_adjointTest_exi_Eform(self):
self.assertTrue(adjointTest('e', 'exi'))
def test_Jtvec_adjointTest_eyi_Eform(self):
self.assertTrue(adjointTest('e', 'eyi'))
def test_Jtvec_adjointTest_ezi_Eform(self):
self.assertTrue(adjointTest('e', 'ezi'))
def test_Jtvec_adjointTest_bxr_Eform(self):
self.assertTrue(adjointTest('e', 'bxr'))
def test_Jtvec_adjointTest_byr_Eform(self):
self.assertTrue(adjointTest('e', 'byr'))
def test_Jtvec_adjointTest_bzr_Eform(self):
self.assertTrue(adjointTest('e', 'bzr'))
def test_Jtvec_adjointTest_bxi_Eform(self):
self.assertTrue(adjointTest('e', 'bxi'))
def test_Jtvec_adjointTest_byi_Eform(self):
self.assertTrue(adjointTest('e', 'byi'))
def test_Jtvec_adjointTest_bzi_Eform(self):
self.assertTrue(adjointTest('e', 'bzi'))
def test_Jtvec_adjointTest_exr_Bform(self):
self.assertTrue(adjointTest('b', 'exr'))
def test_Jtvec_adjointTest_eyr_Bform(self):
self.assertTrue(adjointTest('b', 'eyr'))
def test_Jtvec_adjointTest_ezr_Bform(self):
self.assertTrue(adjointTest('b', 'ezr'))
def test_Jtvec_adjointTest_exi_Bform(self):
self.assertTrue(adjointTest('b', 'exi'))
def test_Jtvec_adjointTest_eyi_Bform(self):
self.assertTrue(adjointTest('b', 'eyi'))
def test_Jtvec_adjointTest_ezi_Bform(self):
self.assertTrue(adjointTest('b', 'ezi'))
def test_Jtvec_adjointTest_bxr_Bform(self):
self.assertTrue(adjointTest('b', 'bxr'))
def test_Jtvec_adjointTest_byr_Bform(self):
self.assertTrue(adjointTest('b', 'byr'))
def test_Jtvec_adjointTest_bzr_Bform(self):
self.assertTrue(adjointTest('b', 'bzr'))
def test_Jtvec_adjointTest_bxi_Bform(self):
self.assertTrue(adjointTest('b', 'bxi'))
def test_Jtvec_adjointTest_byi_Bform(self):
self.assertTrue(adjointTest('b', 'byi'))
def test_Jtvec_adjointTest_bzi_Bform(self):
self.assertTrue(adjointTest('b', 'bzi'))
if testHJ:
def test_Jtvec_adjointTest_jxr_Jform(self):
self.assertTrue(adjointTest('j', 'jxr'))
def test_Jtvec_adjointTest_jyr_Jform(self):
self.assertTrue(adjointTest('j', 'jyr'))
def test_Jtvec_adjointTest_jzr_Jform(self):
self.assertTrue(adjointTest('j', 'jzr'))
def test_Jtvec_adjointTest_jxi_Jform(self):
self.assertTrue(adjointTest('j', 'jxi'))
def test_Jtvec_adjointTest_jyi_Jform(self):
self.assertTrue(adjointTest('j', 'jyi'))
def test_Jtvec_adjointTest_jzi_Jform(self):
self.assertTrue(adjointTest('j', 'jzi'))
def test_Jtvec_adjointTest_hxr_Jform(self):
self.assertTrue(adjointTest('j', 'hxr'))
def test_Jtvec_adjointTest_hyr_Jform(self):
self.assertTrue(adjointTest('j', 'hyr'))
def test_Jtvec_adjointTest_hzr_Jform(self):
self.assertTrue(adjointTest('j', 'hzr'))
def test_Jtvec_adjointTest_hxi_Jform(self):
self.assertTrue(adjointTest('j', 'hxi'))
def test_Jtvec_adjointTest_hyi_Jform(self):
self.assertTrue(adjointTest('j', 'hyi'))
def test_Jtvec_adjointTest_hzi_Jform(self):
self.assertTrue(adjointTest('j', 'hzi'))
def test_Jtvec_adjointTest_hxr_Hform(self):
self.assertTrue(adjointTest('h', 'hxr'))
def test_Jtvec_adjointTest_hyr_Hform(self):
self.assertTrue(adjointTest('h', 'hyr'))
def test_Jtvec_adjointTest_hzr_Hform(self):
self.assertTrue(adjointTest('h', 'hzr'))
def test_Jtvec_adjointTest_hxi_Hform(self):
self.assertTrue(adjointTest('h', 'hxi'))
def test_Jtvec_adjointTest_hyi_Hform(self):
self.assertTrue(adjointTest('h', 'hyi'))
def test_Jtvec_adjointTest_hzi_Hform(self):
self.assertTrue(adjointTest('h', 'hzi'))
def test_Jtvec_adjointTest_hxr_Hform(self):
self.assertTrue(adjointTest('h', 'jxr'))
def test_Jtvec_adjointTest_hyr_Hform(self):
self.assertTrue(adjointTest('h', 'jyr'))
def test_Jtvec_adjointTest_hzr_Hform(self):
self.assertTrue(adjointTest('h', 'jzr'))
def test_Jtvec_adjointTest_hxi_Hform(self):
self.assertTrue(adjointTest('h', 'jxi'))
def test_Jtvec_adjointTest_hyi_Hform(self):
self.assertTrue(adjointTest('h', 'jyi'))
def test_Jtvec_adjointTest_hzi_Hform(self):
self.assertTrue(adjointTest('h', 'jzi'))
if testCrossCheck:
if testEB:
def test_EB_CrossCheck_exr_Eform(self):
self.assertTrue(crossCheckTest('e', 'exr'))
def test_EB_CrossCheck_eyr_Eform(self):
self.assertTrue(crossCheckTest('e', 'eyr'))
def test_EB_CrossCheck_ezr_Eform(self):
self.assertTrue(crossCheckTest('e', 'ezr'))
def test_EB_CrossCheck_exi_Eform(self):
self.assertTrue(crossCheckTest('e', 'exi'))
def test_EB_CrossCheck_eyi_Eform(self):
self.assertTrue(crossCheckTest('e', 'eyi'))
def test_EB_CrossCheck_ezi_Eform(self):
self.assertTrue(crossCheckTest('e', 'ezi'))
def test_EB_CrossCheck_bxr_Eform(self):
self.assertTrue(crossCheckTest('e', 'bxr'))
def test_EB_CrossCheck_byr_Eform(self):
self.assertTrue(crossCheckTest('e', 'byr'))
def test_EB_CrossCheck_bzr_Eform(self):
self.assertTrue(crossCheckTest('e', 'bzr'))
def test_EB_CrossCheck_bxi_Eform(self):
self.assertTrue(crossCheckTest('e', 'bxi'))
def test_EB_CrossCheck_byi_Eform(self):
self.assertTrue(crossCheckTest('e', 'byi'))
def test_EB_CrossCheck_bzi_Eform(self):
self.assertTrue(crossCheckTest('e', 'bzi'))
if testHJ:
def test_HJ_CrossCheck_jxr_Jform(self):
self.assertTrue(crossCheckTest('j', 'jxr'))
def test_HJ_CrossCheck_jyr_Jform(self):
self.assertTrue(crossCheckTest('j', 'jyr'))
def test_HJ_CrossCheck_jzr_Jform(self):
self.assertTrue(crossCheckTest('j', 'jzr'))
def test_HJ_CrossCheck_jxi_Jform(self):
self.assertTrue(crossCheckTest('j', 'jxi'))
def test_HJ_CrossCheck_jyi_Jform(self):
self.assertTrue(crossCheckTest('j', 'jyi'))
def test_HJ_CrossCheck_jzi_Jform(self):
self.assertTrue(crossCheckTest('j', 'jzi'))
def test_HJ_CrossCheck_hxr_Jform(self):
self.assertTrue(crossCheckTest('j', 'hxr'))
def test_HJ_CrossCheck_hyr_Jform(self):
self.assertTrue(crossCheckTest('j', 'hyr'))
def test_HJ_CrossCheck_hzr_Jform(self):
self.assertTrue(crossCheckTest('j', 'hzr'))
def test_HJ_CrossCheck_hxi_Jform(self):
self.assertTrue(crossCheckTest('j', 'hxi'))
def test_HJ_CrossCheck_hyi_Jform(self):
self.assertTrue(crossCheckTest('j', 'hyi'))
def test_HJ_CrossCheck_hzi_Jform(self):
self.assertTrue(crossCheckTest('j', 'hzi'))
if __name__ == '__main__':
unittest.main()
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