mirror of
https://github.com/wassname/simpeg.git
synced 2026-08-14 12:50:10 +08:00
All derivatives/adjoints working for FDEM.
This commit is contained in:
rowanc1
+131
-66
@@ -1,43 +1,28 @@
|
||||
import unittest
|
||||
from SimPEG import *
|
||||
import simpegEM as EM
|
||||
import sys
|
||||
|
||||
TOL = 1e-10
|
||||
TOL = 1e-4
|
||||
CONDUCTIVITY = 1e3
|
||||
|
||||
def getProblem(fdemType):
|
||||
def getProblem(fdemType, comp):
|
||||
cs = 5.
|
||||
ncx, ncy, ncz = 2, 2, 2
|
||||
ncx, ncy, ncz = 6, 6, 6
|
||||
npad = 3
|
||||
hx = Utils.meshTensors(((npad,cs), (ncx,cs), (npad,cs)))
|
||||
hy = Utils.meshTensors(((npad,cs), (ncy,cs), (npad,cs)))
|
||||
hz = Utils.meshTensors(((npad,cs), (ncz,cs), (npad,cs)))
|
||||
mesh = Mesh.TensorMesh([hx,hy,hz])
|
||||
mesh = Mesh.TensorMesh([hx,hy,hz],[-hx.sum()/2., -hy.sum()/2., -hz.sum()/2.])
|
||||
|
||||
model = Model.LogModel(mesh)
|
||||
|
||||
x = np.linspace(5,10,3)
|
||||
x = np.linspace(-30,30,6)
|
||||
XYZ = Utils.ndgrid(x,x,np.r_[0])
|
||||
if fdemType == 'e':
|
||||
rxList = EM.FDEM.RxFDEM(XYZ, 'bxr')
|
||||
elif fdemType == 'b':
|
||||
rxList = EM.FDEM.RxFDEM(XYZ, 'exi')
|
||||
else:
|
||||
raise NotImplementedError()
|
||||
Rx0 = EM.FDEM.RxFDEM(XYZ, comp)
|
||||
Tx0 = EM.FDEM.TxFDEM(np.r_[4.,2.,2.], 'VMD', 1e-2, [Rx0])
|
||||
|
||||
Tx0 = EM.FDEM.TxFDEM(np.r_[4.,2.,2.], 'VMD', 1e-2, [rxList])
|
||||
|
||||
x = np.linspace(5,10,3)
|
||||
XYZ = Utils.ndgrid(x,x,np.r_[0])
|
||||
if fdemType == 'e':
|
||||
rxList = EM.FDEM.RxFDEM(XYZ, 'eyi')
|
||||
elif fdemType == 'b':
|
||||
rxList = EM.FDEM.RxFDEM(XYZ, 'eyr')
|
||||
else:
|
||||
raise NotImplementedError()
|
||||
|
||||
Tx1 = EM.FDEM.TxFDEM(np.r_[4.,2.,2.], 'VMD', 1e-4, [rxList])
|
||||
|
||||
survey = EM.FDEM.SurveyFDEM([Tx0, Tx1])
|
||||
survey = EM.FDEM.SurveyFDEM([Tx0])
|
||||
|
||||
if fdemType == 'e':
|
||||
prb = EM.FDEM.ProblemFDEM_e(model)
|
||||
@@ -49,57 +34,137 @@ def getProblem(fdemType):
|
||||
|
||||
return prb
|
||||
|
||||
class FDEM_DerivTests_e(unittest.TestCase):
|
||||
def adjointTest(fdemType, comp):
|
||||
prb = getProblem(fdemType, comp)
|
||||
print 'Adjoint %s formulation - %s' % (fdemType, comp)
|
||||
|
||||
def setUp(self):
|
||||
prb = getProblem('e')
|
||||
self.prb = prb
|
||||
self.sigma = np.log(np.ones(prb.mesh.nC)*1e-3)
|
||||
self.survey = prb.survey
|
||||
m = np.log(np.ones(prb.mesh.nC)*CONDUCTIVITY)
|
||||
survey = prb.survey
|
||||
|
||||
def test_Jvec(self):
|
||||
x0 = self.sigma
|
||||
def fun(x):
|
||||
return self.survey.dpred(x), lambda x: self.prb.Jvec(x0, x)
|
||||
passed = Tests.checkDerivative(fun, x0, num=3, plotIt=False, eps=1e-25)
|
||||
self.assertTrue(passed)
|
||||
v = np.random.rand(survey.nD)
|
||||
w = np.random.rand(prb.model.nP)
|
||||
|
||||
def test_Jtvec_adjointTest(self):
|
||||
v = np.random.rand(self.survey.nD)
|
||||
w = np.random.rand(self.prb.model.nP)
|
||||
u = prb.fields(m)
|
||||
vJw = v.dot(prb.Jvec(m, w, u=u))
|
||||
wJtv = w.dot(prb.Jtvec(m, v, u=u))
|
||||
tol = TOL*(10**int(np.log10(np.abs(vJw))))
|
||||
print vJw, wJtv, vJw - wJtv, tol, np.abs(vJw - wJtv) < tol
|
||||
return np.abs(vJw - wJtv) < tol
|
||||
|
||||
m = self.sigma
|
||||
u = self.prb.fields(m)
|
||||
vJw = np.vdot(v, self.prb.Jvec(m, w, u=u))
|
||||
wJtv = np.vdot(w, self.prb.Jtvec(m, v, u=u))
|
||||
print 'Jtvec: ', vJw - wJtv
|
||||
self.assertTrue(vJw - wJtv < TOL)
|
||||
def derivTest(fdemType, comp):
|
||||
prb = getProblem(fdemType, comp)
|
||||
print '%s formulation - %s' % (fdemType, comp)
|
||||
x0 = np.log(np.ones(prb.mesh.nC)*CONDUCTIVITY)
|
||||
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=1e-25)
|
||||
|
||||
|
||||
class FDEM_DerivTests_b(unittest.TestCase):
|
||||
class FDEM_DerivTests(unittest.TestCase):
|
||||
|
||||
def setUp(self):
|
||||
prb = getProblem('b')
|
||||
self.prb = prb
|
||||
self.sigma = np.log(np.ones(prb.mesh.nC)*1e-3)
|
||||
self.survey = prb.survey
|
||||
def test_Jvec_exr_Eform(self):
|
||||
self.assertTrue(derivTest('e', 'exr'))
|
||||
def test_Jvec_exr_Bform(self):
|
||||
self.assertTrue(derivTest('b', 'exr'))
|
||||
def test_Jvec_eyr_Eform(self):
|
||||
self.assertTrue(derivTest('e', 'eyr'))
|
||||
def test_Jvec_eyr_Bform(self):
|
||||
self.assertTrue(derivTest('b', 'eyr'))
|
||||
def test_Jvec_ezr_Eform(self):
|
||||
self.assertTrue(derivTest('e', 'ezr'))
|
||||
def test_Jvec_ezr_Bform(self):
|
||||
self.assertTrue(derivTest('b', 'ezr'))
|
||||
def test_Jvec_exi_Eform(self):
|
||||
self.assertTrue(derivTest('e', 'exi'))
|
||||
def test_Jvec_exi_Bform(self):
|
||||
self.assertTrue(derivTest('b', 'exi'))
|
||||
def test_Jvec_eyi_Eform(self):
|
||||
self.assertTrue(derivTest('e', 'eyi'))
|
||||
def test_Jvec_eyi_Bform(self):
|
||||
self.assertTrue(derivTest('b', 'eyi'))
|
||||
def test_Jvec_ezi_Eform(self):
|
||||
self.assertTrue(derivTest('e', 'ezi'))
|
||||
def test_Jvec_ezi_Bform(self):
|
||||
self.assertTrue(derivTest('b', 'ezi'))
|
||||
|
||||
def test_Jvec(self):
|
||||
x0 = self.sigma
|
||||
def fun(x):
|
||||
return self.survey.dpred(x), lambda x: self.prb.Jvec(x0, x)
|
||||
passed = Tests.checkDerivative(fun, x0, num=3, plotIt=False, eps=1e-25)
|
||||
self.assertTrue(passed)
|
||||
def test_Jvec_bxr_Eform(self):
|
||||
self.assertTrue(derivTest('e', 'bxr'))
|
||||
def test_Jvec_bxr_Bform(self):
|
||||
self.assertTrue(derivTest('b', 'bxr'))
|
||||
def test_Jvec_byr_Eform(self):
|
||||
self.assertTrue(derivTest('e', 'byr'))
|
||||
def test_Jvec_byr_Bform(self):
|
||||
self.assertTrue(derivTest('b', 'byr'))
|
||||
def test_Jvec_bzr_Eform(self):
|
||||
self.assertTrue(derivTest('e', 'bzr'))
|
||||
def test_Jvec_bzr_Bform(self):
|
||||
self.assertTrue(derivTest('b', 'bzr'))
|
||||
def test_Jvec_bxi_Eform(self):
|
||||
self.assertTrue(derivTest('e', 'bxi'))
|
||||
def test_Jvec_bxi_Bform(self):
|
||||
self.assertTrue(derivTest('b', 'bxi'))
|
||||
def test_Jvec_byi_Eform(self):
|
||||
self.assertTrue(derivTest('e', 'byi'))
|
||||
def test_Jvec_byi_Bform(self):
|
||||
self.assertTrue(derivTest('b', 'byi'))
|
||||
def test_Jvec_bzi_Eform(self):
|
||||
self.assertTrue(derivTest('e', 'bzi'))
|
||||
def test_Jvec_bzi_Bform(self):
|
||||
self.assertTrue(derivTest('b', 'bzi'))
|
||||
|
||||
def test_Jtvec_adjointTest(self):
|
||||
v = np.random.rand(self.survey.nD)
|
||||
w = np.random.rand(self.prb.model.nP)
|
||||
|
||||
m = self.sigma
|
||||
u = self.prb.fields(m)
|
||||
vJw = v.dot(self.prb.Jvec(m, w, u=u))
|
||||
wJtv = w.dot(self.prb.Jtvec(m, v, u=u))
|
||||
self.assertTrue(vJw - wJtv < TOL)
|
||||
|
||||
def test_Jtvec_adjointTest_exr_Eform(self):
|
||||
self.assertTrue(adjointTest('e', 'exr'))
|
||||
def test_Jtvec_adjointTest_exr_Bform(self):
|
||||
self.assertTrue(adjointTest('b', 'exr'))
|
||||
def test_Jtvec_adjointTest_eyr_Eform(self):
|
||||
self.assertTrue(adjointTest('e', 'eyr'))
|
||||
def test_Jtvec_adjointTest_eyr_Bform(self):
|
||||
self.assertTrue(adjointTest('b', 'eyr'))
|
||||
def test_Jtvec_adjointTest_ezr_Eform(self):
|
||||
self.assertTrue(adjointTest('e', 'ezr'))
|
||||
def test_Jtvec_adjointTest_ezr_Bform(self):
|
||||
self.assertTrue(adjointTest('b', 'ezr'))
|
||||
def test_Jtvec_adjointTest_exi_Eform(self):
|
||||
self.assertTrue(adjointTest('e', 'exi'))
|
||||
def test_Jtvec_adjointTest_exi_Bform(self):
|
||||
self.assertTrue(adjointTest('b', 'exi'))
|
||||
def test_Jtvec_adjointTest_eyi_Eform(self):
|
||||
self.assertTrue(adjointTest('e', 'eyi'))
|
||||
def test_Jtvec_adjointTest_eyi_Bform(self):
|
||||
self.assertTrue(adjointTest('b', 'eyi'))
|
||||
def test_Jtvec_adjointTest_ezi_Eform(self):
|
||||
self.assertTrue(adjointTest('e', 'ezi'))
|
||||
def test_Jtvec_adjointTest_ezi_Bform(self):
|
||||
self.assertTrue(adjointTest('b', 'ezi'))
|
||||
|
||||
def test_Jtvec_adjointTest_bxr_Eform(self):
|
||||
self.assertTrue(adjointTest('e', 'bxr'))
|
||||
def test_Jtvec_adjointTest_bxr_Bform(self):
|
||||
self.assertTrue(adjointTest('b', 'bxr'))
|
||||
def test_Jtvec_adjointTest_byr_Eform(self):
|
||||
self.assertTrue(adjointTest('e', 'byr'))
|
||||
def test_Jtvec_adjointTest_byr_Bform(self):
|
||||
self.assertTrue(adjointTest('b', 'byr'))
|
||||
def test_Jtvec_adjointTest_bzr_Eform(self):
|
||||
self.assertTrue(adjointTest('e', 'bzr'))
|
||||
def test_Jtvec_adjointTest_bzr_Bform(self):
|
||||
self.assertTrue(adjointTest('b', 'bzr'))
|
||||
def test_Jtvec_adjointTest_bxi_Eform(self):
|
||||
self.assertTrue(adjointTest('e', 'bxi'))
|
||||
def test_Jtvec_adjointTest_bxi_Bform(self):
|
||||
self.assertTrue(adjointTest('b', 'bxi'))
|
||||
def test_Jtvec_adjointTest_byi_Eform(self):
|
||||
self.assertTrue(adjointTest('e', 'byi'))
|
||||
def test_Jtvec_adjointTest_byi_Bform(self):
|
||||
self.assertTrue(adjointTest('b', 'byi'))
|
||||
def test_Jtvec_adjointTest_bzi_Eform(self):
|
||||
self.assertTrue(adjointTest('e', 'bzi'))
|
||||
def test_Jtvec_adjointTest_bzi_Bform(self):
|
||||
self.assertTrue(adjointTest('b', 'bzi'))
|
||||
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
|
||||
Reference in New Issue
Block a user