Files
simpeg/SimPEG/tests/test_interpolation.py
T
2013-11-04 16:25:57 -08:00

101 lines
3.0 KiB
Python

import numpy as np
import unittest
from TestUtils import OrderTest
MESHTYPES = ['uniformTensorMesh', 'randomTensorMesh']
TOLERANCES = [0.9, 0.6]
call2 = lambda fun, xyz: fun(xyz[:, 0], xyz[:, 1])
call3 = lambda fun, xyz: fun(xyz[:, 0], xyz[:, 1], xyz[:, 2])
cart_row2 = lambda g, xfun, yfun: np.c_[call2(xfun, g), call2(yfun, g)]
cart_row3 = lambda g, xfun, yfun, zfun: np.c_[call3(xfun, g), call3(yfun, g), call3(zfun, g)]
cartF2 = lambda M, fx, fy: np.vstack((cart_row2(M.gridFx, fx, fy), cart_row2(M.gridFy, fx, fy)))
cartE2 = lambda M, ex, ey: np.vstack((cart_row2(M.gridEx, ex, ey), cart_row2(M.gridEy, ex, ey)))
cartF3 = lambda M, fx, fy, fz: np.vstack((cart_row3(M.gridFx, fx, fy, fz), cart_row3(M.gridFy, fx, fy, fz), cart_row3(M.gridFz, fx, fy, fz)))
cartE3 = lambda M, ex, ey, ez: np.vstack((cart_row3(M.gridEx, ex, ey, ez), cart_row3(M.gridEy, ex, ey, ez), cart_row3(M.gridEz, ex, ey, ez)))
LOCS = np.random.rand(50,3)*0.6+0.2
class TestInterpolation(OrderTest):
name = "Interpolation"
meshTypes = MESHTYPES
tolerance = TOLERANCES
meshDimension = 3
meshSizes = [8, 16, 32]
def getError(self):
funX = lambda x, y, z: np.cos(2*np.pi*y)
funY = lambda x, y, z: np.cos(2*np.pi*z)
funZ = lambda x, y, z: np.cos(2*np.pi*x)
if 'x' in self.type:
anal = call3(funX, LOCS)
elif 'y' in self.type:
anal = call3(funY, LOCS)
elif 'z' in self.type:
anal = call3(funZ, LOCS)
else:
anal = call3(funX, LOCS)
if 'F' in self.type:
Fc = cartF3(self.M, funX, funY, funZ)
grid = self.M.projectFaceVector(Fc)
elif 'E' in self.type:
Ec = cartE3(self.M, funX, funY, funZ)
grid = self.M.projectEdgeVector(Ec)
elif 'CC' == self.type:
grid = call3(funX, self.M.gridCC)
elif 'N' == self.type:
grid = call3(funX, self.M.gridN)
comp = self.M.getInterpolationMat(LOCS, self.type)*grid
err = np.linalg.norm((comp - anal), np.inf)
return err
def test_orderCC(self):
self.type = 'CC'
self.name = 'Interpolation CC'
self.orderTest()
def test_orderN(self):
self.type = 'N'
self.name = 'Interpolation N'
self.orderTest()
def test_orderFx(self):
self.type = 'Fx'
self.name = 'Interpolation Fx'
self.orderTest()
def test_orderFy(self):
self.type = 'Fy'
self.name = 'Interpolation Fy'
self.orderTest()
def test_orderFz(self):
self.type = 'Fz'
self.name = 'Interpolation Fz'
self.orderTest()
def test_orderEx(self):
self.type = 'Ex'
self.name = 'Interpolation Ex'
self.orderTest()
def test_orderEy(self):
self.type = 'Ey'
self.name = 'Interpolation Ey'
self.orderTest()
def test_orderEz(self):
self.type = 'Ez'
self.name = 'Interpolation Ez'
self.orderTest()
if __name__ == '__main__':
unittest.main()