simpeg/simpegEM/Tests/test_FDEM.py

import unittest
from SimPEG import *
import simpegEM as EM
import sys

TOL = 1e-4
CONDUCTIVITY = 1e3

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.linspace(-30,30,6)
    XYZ = Utils.ndgrid(x,x,np.r_[0])
    Rx0 = EM.FDEM.RxFDEM(XYZ, comp)
    Tx0 = EM.FDEM.TxFDEM(np.r_[4.,2.,2.], 'VMD', 1e-2, [Rx0])

    survey = EM.FDEM.SurveyFDEM([Tx0])

    if fdemType == 'e':
        prb = EM.FDEM.ProblemFDEM_e(mesh, mapping=mapping)
    elif fdemType == 'b':
        prb = EM.FDEM.ProblemFDEM_b(mesh, mapping=mapping)
    else:
        raise NotImplementedError()
    prb.pair(survey)

    try:
        from mumpsSCI 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.mesh.nC)*CONDUCTIVITY)
    survey = prb.survey

    v = np.random.rand(survey.nD)
    w = np.random.rand(prb.mapping.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

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(unittest.TestCase):

    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_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_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__':
    unittest.main()