Files
simpeg/SimPEG/Tests/test_utils.py
T

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8.9 KiB
Python

import unittest
from SimPEG.Utils import *
from SimPEG import Mesh, np, sp
from SimPEG.Tests import checkDerivative
TOL = 1e-8
class TestCheckDerivative(unittest.TestCase):
def test_simplePass(self):
def simplePass(x):
return np.sin(x), sdiag(np.cos(x))
passed = checkDerivative(simplePass, np.random.randn(5), plotIt=False)
self.assertTrue(passed, True)
def test_simpleFunction(self):
def simpleFunction(x):
return np.sin(x), lambda xi: sdiag(np.cos(x))*xi
passed = checkDerivative(simpleFunction, np.random.randn(5), plotIt=False)
self.assertTrue(passed, True)
def test_simpleFail(self):
def simpleFail(x):
return np.sin(x), -sdiag(np.cos(x))
passed = checkDerivative(simpleFail, np.random.randn(5), plotIt=False)
self.assertTrue(not passed, True)
class TestCounter(unittest.TestCase):
def test_simpleFail(self):
class MyClass(object):
def __init__(self, url):
self.counter = Counter()
@count
def MyMethod(self):
pass
@timeIt
def MySecondMethod(self):
pass
c = MyClass('blah')
for i in range(100): c.MyMethod()
for i in range(300): c.MySecondMethod()
c.counter.summary()
self.assertTrue(True)
class TestSequenceFunctions(unittest.TestCase):
def setUp(self):
self.a = np.array([1, 2, 3])
self.b = np.array([1, 2])
self.c = np.array([1, 2, 3, 4])
def test_mkvc1(self):
x = mkvc(self.a)
self.assertTrue(x.shape, (3,))
def test_mkvc2(self):
x = mkvc(self.a, 2)
self.assertTrue(x.shape, (3, 1))
def test_mkvc3(self):
x = mkvc(self.a, 3)
self.assertTrue(x.shape, (3, 1, 1))
def test_ndgrid_2D(self):
XY = ndgrid([self.a, self.b])
X1_test = np.array([1, 2, 3, 1, 2, 3])
X2_test = np.array([1, 1, 1, 2, 2, 2])
self.assertTrue(np.all(XY[:, 0] == X1_test))
self.assertTrue(np.all(XY[:, 1] == X2_test))
def test_ndgrid_3D(self):
XYZ = ndgrid([self.a, self.b, self.c])
X1_test = np.array([1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3])
X2_test = np.array([1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2])
X3_test = np.array([1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4])
self.assertTrue(np.all(XYZ[:, 0] == X1_test))
self.assertTrue(np.all(XYZ[:, 1] == X2_test))
self.assertTrue(np.all(XYZ[:, 2] == X3_test))
def test_sub2ind(self):
x = np.ones((5,2))
self.assertTrue(np.all(sub2ind(x.shape, [0,0]) == [0]))
self.assertTrue(np.all(sub2ind(x.shape, [4,0]) == [4]))
self.assertTrue(np.all(sub2ind(x.shape, [0,1]) == [5]))
self.assertTrue(np.all(sub2ind(x.shape, [4,1]) == [9]))
self.assertTrue(np.all(sub2ind(x.shape, [[4,1]]) == [9]))
self.assertTrue(np.all(sub2ind(x.shape, [[0,0],[4,0],[0,1],[4,1]]) == [0,4,5,9]))
def test_ind2sub(self):
x = np.ones((5,2))
self.assertTrue(np.all(ind2sub(x.shape, [0,4,5,9])[0] == [0,4,0,4]))
self.assertTrue(np.all(ind2sub(x.shape, [0,4,5,9])[1] == [0,0,1,1]))
def test_indexCube_2D(self):
nN = np.array([3, 3])
self.assertTrue(np.all(indexCube('A', nN) == np.array([0, 1, 3, 4])))
self.assertTrue(np.all(indexCube('B', nN) == np.array([3, 4, 6, 7])))
self.assertTrue(np.all(indexCube('C', nN) == np.array([4, 5, 7, 8])))
self.assertTrue(np.all(indexCube('D', nN) == np.array([1, 2, 4, 5])))
def test_indexCube_3D(self):
nN = np.array([3, 3, 3])
self.assertTrue(np.all(indexCube('A', nN) == np.array([0, 1, 3, 4, 9, 10, 12, 13])))
self.assertTrue(np.all(indexCube('B', nN) == np.array([3, 4, 6, 7, 12, 13, 15, 16])))
self.assertTrue(np.all(indexCube('C', nN) == np.array([4, 5, 7, 8, 13, 14, 16, 17])))
self.assertTrue(np.all(indexCube('D', nN) == np.array([1, 2, 4, 5, 10, 11, 13, 14])))
self.assertTrue(np.all(indexCube('E', nN) == np.array([9, 10, 12, 13, 18, 19, 21, 22])))
self.assertTrue(np.all(indexCube('F', nN) == np.array([12, 13, 15, 16, 21, 22, 24, 25])))
self.assertTrue(np.all(indexCube('G', nN) == np.array([13, 14, 16, 17, 22, 23, 25, 26])))
self.assertTrue(np.all(indexCube('H', nN) == np.array([10, 11, 13, 14, 19, 20, 22, 23])))
def test_invXXXBlockDiagonal(self):
a = [np.random.rand(5, 1) for i in range(4)]
B = inv2X2BlockDiagonal(*a)
A = sp.vstack((sp.hstack((sdiag(a[0]), sdiag(a[1]))),
sp.hstack((sdiag(a[2]), sdiag(a[3])))))
Z2 = B*A - sp.identity(10)
self.assertTrue(np.linalg.norm(Z2.todense().ravel(), 2) < TOL)
a = [np.random.rand(5, 1) for i in range(9)]
B = inv3X3BlockDiagonal(*a)
A = sp.vstack((sp.hstack((sdiag(a[0]), sdiag(a[1]), sdiag(a[2]))),
sp.hstack((sdiag(a[3]), sdiag(a[4]), sdiag(a[5]))),
sp.hstack((sdiag(a[6]), sdiag(a[7]), sdiag(a[8])))))
Z3 = B*A - sp.identity(15)
self.assertTrue(np.linalg.norm(Z3.todense().ravel(), 2) < TOL)
def test_invPropertyTensor2D(self):
M = Mesh.TensorMesh([6, 6])
a1 = np.random.rand(M.nC)
a2 = np.random.rand(M.nC)
a3 = np.random.rand(M.nC)
prop1 = a1
prop2 = np.c_[a1, a2]
prop3 = np.c_[a1, a2, a3]
for prop in [4, prop1, prop2, prop3]:
b = invPropertyTensor(M, prop)
A = makePropertyTensor(M, prop)
B1 = makePropertyTensor(M, b)
B2 = invPropertyTensor(M, prop, returnMatrix=True)
Z = B1*A - sp.identity(M.nC*2)
self.assertTrue(np.linalg.norm(Z.todense().ravel(), 2) < TOL)
Z = B2*A - sp.identity(M.nC*2)
self.assertTrue(np.linalg.norm(Z.todense().ravel(), 2) < TOL)
def test_TensorType2D(self):
M = Mesh.TensorMesh([6, 6])
a1 = np.random.rand(M.nC)
a2 = np.random.rand(M.nC)
a3 = np.random.rand(M.nC)
prop1 = a1
prop2 = np.c_[a1, a2]
prop3 = np.c_[a1, a2, a3]
for ii, prop in enumerate([4, prop1, prop2, prop3]):
self.assertTrue(TensorType(M, prop) == ii)
self.assertRaises(Exception, TensorType, M, np.c_[a1, a2, a3, a3])
self.assertTrue(TensorType(M, None) == -1)
def test_TensorType3D(self):
M = Mesh.TensorMesh([6, 6, 7])
a1 = np.random.rand(M.nC)
a2 = np.random.rand(M.nC)
a3 = np.random.rand(M.nC)
a4 = np.random.rand(M.nC)
a5 = np.random.rand(M.nC)
a6 = np.random.rand(M.nC)
prop1 = a1
prop2 = np.c_[a1, a2, a3]
prop3 = np.c_[a1, a2, a3, a4, a5, a6]
for ii, prop in enumerate([4, prop1, prop2, prop3]):
self.assertTrue(TensorType(M, prop) == ii)
self.assertRaises(Exception, TensorType, M, np.c_[a1, a2, a3, a3])
self.assertTrue(TensorType(M, None) == -1)
def test_invPropertyTensor3D(self):
M = Mesh.TensorMesh([6, 6, 6])
a1 = np.random.rand(M.nC)
a2 = np.random.rand(M.nC)
a3 = np.random.rand(M.nC)
a4 = np.random.rand(M.nC)
a5 = np.random.rand(M.nC)
a6 = np.random.rand(M.nC)
prop1 = a1
prop2 = np.c_[a1, a2, a3]
prop3 = np.c_[a1, a2, a3, a4, a5, a6]
for prop in [4, prop1, prop2, prop3]:
b = invPropertyTensor(M, prop)
A = makePropertyTensor(M, prop)
B1 = makePropertyTensor(M, b)
B2 = invPropertyTensor(M, prop, returnMatrix=True)
Z = B1*A - sp.identity(M.nC*3)
self.assertTrue(np.linalg.norm(Z.todense().ravel(), 2) < TOL)
Z = B2*A - sp.identity(M.nC*3)
self.assertTrue(np.linalg.norm(Z.todense().ravel(), 2) < TOL)
def test_isScalar(self):
self.assertTrue(isScalar(1.))
self.assertTrue(isScalar(1))
self.assertTrue(isScalar(long(1)))
self.assertTrue(isScalar(np.r_[1.]))
self.assertTrue(isScalar(np.r_[1]))
def test_asArray_N_x_Dim(self):
true = np.array([[1,2,3]])
listArray = asArray_N_x_Dim([1,2,3],3)
self.assertTrue(np.all(true == listArray))
self.assertTrue(true.shape == listArray.shape)
listArray = asArray_N_x_Dim(np.r_[1,2,3],3)
self.assertTrue(np.all(true == listArray))
self.assertTrue(true.shape == listArray.shape)
listArray = asArray_N_x_Dim(np.array([[1,2,3.]]),3)
self.assertTrue(np.all(true == listArray))
self.assertTrue(true.shape == listArray.shape)
true = np.array([[1,2],[4,5]])
listArray = asArray_N_x_Dim([[1,2],[4,5]],2)
self.assertTrue(np.all(true == listArray))
self.assertTrue(true.shape == listArray.shape)
if __name__ == '__main__':
unittest.main()