Files
simpeg/SimPEG/Tests/test_TreeMesh.py
T
2014-02-10 17:35:55 -08:00

502 lines
20 KiB
Python

from SimPEG.Mesh import TensorMesh
from SimPEG.Mesh.TreeMesh import TreeMesh, TreeFace, TreeCell
import numpy as np
import unittest
import matplotlib.pyplot as plt
class TestOcTreeObjects(unittest.TestCase):
def setUp(self):
self.M = TreeMesh([2,1,1])
self.M.number()
self.Mr = TreeMesh([2,1,1])
self.Mr.children[0,0,0].refine()
self.Mr.number()
def q(s):
if s[0] == 'M':
m = self.M
s = s[1:]
else:
m = self.Mr
c = m.sortedCells[int(s[1])]
if len(s) == 2: return c
if s[2] == 'f' and len(s) == 5: return c.faces[s[2:]]
if s[2] == 'f': return c.faces[s[2:5]].edges[s[5:]]
if s[2] == 'e': return c.edges[s[2:]]
self.q = q
def test_counts(self):
self.assertTrue(self.M.nC == 2)
self.assertTrue(self.M.nFx == 3)
self.assertTrue(self.M.nFy == 4)
self.assertTrue(self.M.nFz == 4)
self.assertTrue(self.M.nF == 11)
self.assertTrue(self.M.nEx == 8)
self.assertTrue(self.M.nEy == 6)
self.assertTrue(self.M.nEz == 6)
self.assertTrue(self.M.nE == 20)
self.assertTrue(self.M.nN == 12)
self.assertTrue(self.Mr.nC == 9)
self.assertTrue(self.Mr.nFx == 13)
self.assertTrue(self.Mr.nFy == 14)
self.assertTrue(self.Mr.nFz == 14)
self.assertTrue(self.Mr.nF == 41)
for cell in self.Mr.sortedCells:
for e in cell.edges:
self.assertTrue(cell.edges[e].edgeType==e[1].lower())
self.assertTrue(self.Mr.nN == 31)
self.assertTrue(self.Mr.nEx == 22)
self.assertTrue(self.Mr.nEy == 20)
self.assertTrue(self.Mr.nEz == 20)
def test_sizes(self):
q = self.q
for key in ['Mc0','Mc1']:
self.assertTrue(q(key).vol == 0.5)
self.assertTrue(q(key+'fXm').area == 1.)
self.assertTrue(q(key+'fXp').area == 1.)
self.assertTrue(q(key+'fYm').area == 0.5)
self.assertTrue(q(key+'fYp').area == 0.5)
self.assertTrue(q(key+'fZm').area == 0.5)
self.assertTrue(q(key+'fZp').area == 0.5)
def test_pointersM(self):
c0 = self.M.children[0,0,0]
c0fXm = c0.faces['fXm']
c0fXp = c0.faces['fXp']
c0fYm = c0.faces['fYm']
c0fYp = c0.faces['fYp']
c0fZm = c0.faces['fZm']
c0fZp = c0.faces['fZp']
c1 = self.M.children[1,0,0]
c1fXm = c1.faces['fXm']
c1fXp = c1.faces['fXp']
c1fYm = c1.faces['fYm']
c1fYp = c1.faces['fYp']
c1fZm = c1.faces['fZm']
c1fZp = c1.faces['fZp']
self.assertTrue(c0fXp is c1fXm)
self.assertTrue(c0fXp.edges['e0'] is c1fXm.edges['e0'])
self.assertTrue(c0fXp.edges['e1'] is c1fXm.edges['e1'])
self.assertTrue(c0fXp.edges['e2'] is c1fXm.edges['e2'])
self.assertTrue(c0fXp.edges['e3'] is c1fXm.edges['e3'])
self.assertTrue(c0fYp is not c1fYm)
self.assertTrue(c0fXm is not c1fXm)
# Test connectivity of shared edges
self.assertTrue(c0fZp.edges['e3'] is not c1fZp.edges['e0'])
self.assertTrue(c0fZp.edges['e3'] is not c1fZp.edges['e1'])
self.assertTrue(c0fZp.edges['e3'] is c1fZp.edges['e2'])
self.assertTrue(c0fZp.edges['e3'] is not c1fZp.edges['e3'])
self.assertTrue(c0fZm.edges['e3'] is not c1fZm.edges['e0'])
self.assertTrue(c0fZm.edges['e3'] is not c1fZm.edges['e1'])
self.assertTrue(c0fZm.edges['e3'] is c1fZm.edges['e2'])
self.assertTrue(c0fZm.edges['e3'] is not c1fZm.edges['e3'])
self.assertTrue(c0fYp.edges['e3'] is not c1fYp.edges['e0'])
self.assertTrue(c0fYp.edges['e3'] is not c1fYp.edges['e1'])
self.assertTrue(c0fYp.edges['e3'] is c1fYp.edges['e2'])
self.assertTrue(c0fYp.edges['e3'] is not c1fYp.edges['e3'])
self.assertTrue(c0fYm.edges['e3'] is not c1fYm.edges['e0'])
self.assertTrue(c0fYm.edges['e3'] is not c1fYm.edges['e1'])
self.assertTrue(c0fYm.edges['e3'] is c1fYm.edges['e2'])
self.assertTrue(c0fYm.edges['e3'] is not c1fYm.edges['e3'])
self.assertTrue(c0fZm.edges['e3'] is c1fXm.edges['e0'])
self.assertTrue(c0fZp.edges['e3'] is c1fXm.edges['e1'])
self.assertTrue(c0fYm.edges['e3'] is c1fXm.edges['e2'])
self.assertTrue(c0fYp.edges['e3'] is c1fXm.edges['e3'])
self.assertTrue(c0fZm.edges['e3'] is c0fXp.edges['e0'])
self.assertTrue(c0fZp.edges['e3'] is c0fXp.edges['e1'])
self.assertTrue(c0fYm.edges['e3'] is c0fXp.edges['e2'])
self.assertTrue(c0fYp.edges['e3'] is c0fXp.edges['e3'])
self.assertTrue(c1fZm.edges['e2'] is c1fXm.edges['e0'])
self.assertTrue(c1fZp.edges['e2'] is c1fXm.edges['e1'])
self.assertTrue(c1fYm.edges['e2'] is c1fXm.edges['e2'])
self.assertTrue(c1fYp.edges['e2'] is c1fXm.edges['e3'])
self.assertTrue(c1fZm.edges['e2'] is c0fXp.edges['e0'])
self.assertTrue(c1fZp.edges['e2'] is c0fXp.edges['e1'])
self.assertTrue(c1fYm.edges['e2'] is c0fXp.edges['e2'])
self.assertTrue(c1fYp.edges['e2'] is c0fXp.edges['e3'])
def test_pointersMr(self):
ax = plt.subplot(111, projection='3d')
self.Mr.plotGrid(ax=ax,showIt=False,plotC=True,plotEy=True, text=False)
cell = self.Mr.sortedCells[0]
[cell.edges[e].plotGrid(ax,lineOpts={'color':'b','ls':'-'}) for e in cell.edges]
cell.plotGrid(ax)
# plt.show()
q = self.q
c0 = self.Mr.sortedCells[0]
c0fXm = c0.faces['fXm']
c0eX0 = c0.edges['eX0']
c0fYme0 = c0.faces['fYm'].edges['e0']
self.assertTrue(c0 is q('c0'))
self.assertTrue(c0fXm is q('c0fXm'))
self.assertTrue(c0eX0 is q('c0eX0'))
self.assertTrue(c0fYme0 is q('c0fYme0'))
self.assertTrue(q('c0').depth == 1)
self.assertTrue(q('c1').depth == 1)
self.assertTrue(q('c2').depth == 0)
# Make sure we know where the center of the cells are.
self.assertTrue(np.all(q('c0').center == np.r_[0.125,0.25,0.25]))
self.assertTrue(np.all(q('c1').center == np.r_[0.375,0.25,0.25]))
self.assertTrue(np.all(q('c2').center == np.r_[0.75,0.5,0.5]))
self.assertTrue(np.all(q('c3').center == np.r_[0.125,0.75,0.25]))
self.assertTrue(np.all(q('c4').center == np.r_[0.375,0.75,0.25]))
self.assertTrue(np.all(q('c5').center == np.r_[0.125,0.25,0.75]))
self.assertTrue(np.all(q('c6').center == np.r_[0.375,0.25,0.75]))
self.assertTrue(np.all(q('c7').center == np.r_[0.125,0.75,0.75]))
self.assertTrue(np.all(q('c8').center == np.r_[0.375,0.75,0.75]))
# Test X face connectivity and locations and stuff...
self.assertTrue(np.all(q('c0fXm').center == np.r_[0,0.25,0.25]))
self.assertTrue(np.all(q('c0fXp').center == np.r_[0.25,0.25,0.25]))
self.assertTrue(q('c0fXp') is q('c1fXm'))
self.assertTrue(np.all(q('c1fXp').center == np.r_[0.5,0.25,0.25]))
self.assertTrue(np.all(q('c2fXm').center == np.r_[0.5,0.5,0.5]))
self.assertTrue(q('c2fXm').branchdepth == 1)
self.assertTrue(q('c1fXp').parent is q('c2fXm'))
self.assertTrue(q('c2fXm').children[0,0] is q('c1fXp'))
self.assertTrue(np.all(q('c3fXm').center == np.r_[0,0.75,0.25]))
self.assertTrue(np.all(q('c3fXp').center == np.r_[0.25,0.75,0.25]))
self.assertTrue(q('c4fXm') is q('c3fXp'))
self.assertTrue(q('c2fXm').children[1,0] is q('c4fXp'))
#Test some internal stuff (edges held by cell should be same as inside)
for key in ['Mc0', 'Mc1'] + ['c%d'%i for i in range(9)]:
self.assertTrue(q(key+'eX0') is q(key+'fZme0'))
self.assertTrue(q(key+'eX1') is q(key+'fZme1'))
self.assertTrue(q(key+'eX2') is q(key+'fZpe0'))
self.assertTrue(q(key+'eX3') is q(key+'fZpe1'))
self.assertTrue(q(key+'eX0') is q(key+'fYme0'))
self.assertTrue(q(key+'eX1') is q(key+'fYpe0'))
self.assertTrue(q(key+'eX2') is q(key+'fYme1'))
self.assertTrue(q(key+'eX3') is q(key+'fYpe1'))
self.assertTrue(q(key+'eY0') is q(key+'fXme0'))
self.assertTrue(q(key+'eY1') is q(key+'fXpe0'))
self.assertTrue(q(key+'eY2') is q(key+'fXme1'))
self.assertTrue(q(key+'eY3') is q(key+'fXpe1'))
self.assertTrue(q(key+'eY0') is q(key+'fZme2'))
self.assertTrue(q(key+'eY1') is q(key+'fZme3'))
self.assertTrue(q(key+'eY2') is q(key+'fZpe2'))
self.assertTrue(q(key+'eY3') is q(key+'fZpe3'))
self.assertTrue(q(key+'eZ0') is q(key+'fXme2'))
self.assertTrue(q(key+'eZ1') is q(key+'fXpe2'))
self.assertTrue(q(key+'eZ2') is q(key+'fXme3'))
self.assertTrue(q(key+'eZ3') is q(key+'fXpe3'))
self.assertTrue(q(key+'eZ0') is q(key+'fYme2'))
self.assertTrue(q(key+'eZ1') is q(key+'fYme3'))
self.assertTrue(q(key+'eZ2') is q(key+'fYpe2'))
self.assertTrue(q(key+'eZ3') is q(key+'fYpe3'))
#Test some edge stuff
self.assertTrue(np.all(q('c0eX0').center == np.r_[0.125,0,0]))
self.assertTrue(np.all(q('c0eX1').center == np.r_[0.125,0.5,0]))
self.assertTrue(np.all(q('c0eX2').center == np.r_[0.125,0,0.5]))
self.assertTrue(np.all(q('c0eX3').center == np.r_[0.125,0.5,0.5]))
self.assertTrue(np.all(q('c5eX0').center == np.r_[0.125,0,0.5]))
self.assertTrue(np.all(q('c5eX1').center == np.r_[0.125,0.5,0.5]))
self.assertTrue(q('c5eX0') is q('c0eX2'))
self.assertTrue(q('c5eX1') is q('c0eX3'))
self.assertTrue(np.all(q('c0eY0').center == np.r_[0,0.25,0]))
self.assertTrue(np.all(q('c0eY1').center == np.r_[0.25,0.25,0]))
self.assertTrue(np.all(q('c0eY2').center == np.r_[0,0.25,0.5]))
self.assertTrue(np.all(q('c0eY3').center == np.r_[0.25,0.25,0.5]))
self.assertTrue(np.all(q('c1eY0').center == np.r_[0.25,0.25,0]))
self.assertTrue(np.all(q('c1eY2').center == np.r_[0.25,0.25,0.5]))
self.assertTrue(q('c1eY0') is q('c0eY1'))
self.assertTrue(q('c1eY2') is q('c0eY3'))
self.assertTrue(np.all(q('c0eZ0').center == np.r_[0,0,0.25]))
self.assertTrue(np.all(q('c0eZ1').center == np.r_[0.25,0,0.25]))
self.assertTrue(np.all(q('c0eZ2').center == np.r_[0,0.5,0.25]))
self.assertTrue(np.all(q('c0eZ3').center == np.r_[0.25,0.5,0.25]))
self.assertTrue(np.all(q('c3eZ0').center == np.r_[0,0.5,0.25]))
self.assertTrue(np.all(q('c3eZ1').center == np.r_[0.25,0.5,0.25]))
self.assertTrue(q('c3eZ0') is q('c0eZ2'))
self.assertTrue(q('c3eZ1') is q('c0eZ3'))
self.assertTrue(q('c0fXp') is q('c1fXm'))
self.assertTrue(q('c0fYp') is not q('c1fYm'))
self.assertTrue(q('c0fXm') is not q('c1fXm'))
self.assertTrue(q('c1fXp') is q('c2fXm').children[0,0])
self.assertTrue(q('c1fXp').parent is q('c2fXm'))
self.assertTrue(q('c1fYp') is q('c4fYm'))
self.assertTrue(q('c1fZp') is q('c6fZm'))
self.assertTrue(q('c6fXp') is q('c2fXm').children[0,1])
self.assertTrue(q('c6fXp').parent is q('c2fXm'))
self.assertTrue(q('c4fXp') is q('c2fXm').children[1,0])
self.assertTrue(q('c4fXp').parent is q('c2fXm'))
def test_gridCC(self):
x = np.r_[0.25,0.75]
y = np.r_[0.5,0.5]
z = np.r_[0.5,0.5]
self.assertTrue(np.linalg.norm((np.c_[x,y,z]-self.M.gridCC).flatten()) == 0)
x = np.r_[0.125,0.375,0.75,0.125,0.375,0.125,0.375,0.125,0.375]
y = np.r_[0.25,0.25,0.5,0.75,0.75,0.25,0.25,0.75,0.75]
z = np.r_[0.25,0.25,0.5,0.25,0.25,0.75,0.75,0.75,0.75]
self.assertTrue(np.linalg.norm((np.c_[x,y,z]-self.Mr.gridCC).flatten()) == 0)
def test_gridN(self):
x = np.r_[0,0.5,1,0,0.5,1,0,0.5,1,0,0.5,1]
y = np.r_[0,0,0,1,1,1,0,0,0,1,1,1.]
z = np.r_[0,0,0,0,0,0,1,1,1,1,1,1.]
self.assertTrue(np.linalg.norm((np.c_[x,y,z]-self.M.gridN).flatten()) == 0)
x = np.r_[0,0.25,0.5,1,0,0.25,0.5,0,0.25,0.5,1,0,0.25,0.5,0,0.25,0.5,0,0.25,0.5,0,0.25,0.5,1,0,0.25,0.5,0,0.25,0.5,1]
y = np.r_[0,0,0,0,0.5,0.5,0.5,1,1,1,1,0,0,0,0.5,0.5,0.5,1,1,1,0,0,0,0,0.5,0.5,0.5,1,1,1,1]
z = np.r_[0,0,0,0,0,0,0,0,0,0,0,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,1,1,1,1,1,1,1,1,1,1,1]
self.assertTrue(np.linalg.norm((np.c_[x,y,z]-self.Mr.gridN).flatten()) == 0)
def test_gridFx(self):
x = np.r_[0.0,0.5,1.0]
y = np.r_[0.5,0.5,0.5]
z = np.r_[0.5,0.5,0.5]
self.assertTrue(np.linalg.norm((np.c_[x,y,z]-self.M.gridFx).flatten()) == 0)
x = np.r_[0.0,0.25,0.5,1.0,0.0,0.25,0.5,0.0,0.25,0.5,0.0,0.25,0.5]
y = np.r_[0.25,0.25,0.25,0.5,0.75,0.75,0.75,0.25,0.25,0.25,0.75,0.75,0.75]
z = np.r_[0.25,0.25,0.25,0.5,0.25,0.25,0.25,0.75,0.75,0.75,0.75,0.75,0.75]
self.assertTrue(np.linalg.norm((np.c_[x,y,z]-self.Mr.gridFx).flatten()) == 0)
def test_gridFy(self):
x = np.r_[0.25,0.75,0.25,0.75]
y = np.r_[0,0,1.,1.]
z = np.r_[0.5,0.5,0.5,0.5]
self.assertTrue(np.linalg.norm((np.c_[x,y,z]-self.M.gridFy).flatten()) == 0)
x = np.r_[0.125,0.375,0.75,0.125,0.375,0.125,0.375,0.75,0.125,0.375,0.125,0.375,0.125,0.375]
y = np.r_[0,0,0,0.5,0.5,1,1,1,0,0,0.5,0.5,1,1]
z = np.r_[0.25,0.25,0.5,0.25,0.25,0.25,0.25,0.5,0.75,0.75,0.75,0.75,0.75,0.75]
self.assertTrue(np.linalg.norm((np.c_[x,y,z]-self.Mr.gridFy).flatten()) == 0)
def test_gridFz(self):
x = np.r_[0.25,0.75,0.25,0.75]
y = np.r_[0.5,0.5,0.5,0.5]
z = np.r_[0,0,1.,1.]
self.assertTrue(np.linalg.norm((np.c_[x,y,z]-self.M.gridFz).flatten()) == 0)
x = np.r_[0.125,0.375,0.75,0.125,0.375,0.125,0.375,0.125,0.375,0.125,0.375,0.75,0.125,0.375]
y = np.r_[0.25,0.25,0.5,0.75,0.75,0.25,0.25,0.75,0.75,0.25,0.25,0.5,0.75,0.75]
z = np.r_[0,0,0,0,0,0.5,0.5,0.5,0.5,1,1,1,1,1]
self.assertTrue(np.linalg.norm((np.c_[x,y,z]-self.Mr.gridFz).flatten()) == 0)
def test_gridEx(self):
x = np.r_[0.25,0.75,0.25,0.75,0.25,0.75,0.25,0.75]
y = np.r_[0,0,1.,1.,0,0,1.,1.]
z = np.r_[0,0,0,0,1.,1.,1.,1.]
self.assertTrue(np.linalg.norm((np.c_[x,y,z]-self.M.gridEx).flatten()) == 0)
x = np.r_[0.125,0.375,0.75,0.125,0.375,0.125,0.375,0.75,0.125,0.375,0.125,0.375,0.125,0.375,0.125,0.375,0.75,0.125,0.375,0.125,0.375,0.75]
y = np.r_[0,0,0,0.5,0.5,1,1,1,0,0,0.5,0.5,1,1,0,0,0,0.5,0.5,1,1,1]
z = np.r_[0,0,0,0,0,0,0,0,0.5,0.5,0.5,0.5,0.5,0.5,1,1,1,1,1,1,1,1]
self.assertTrue(np.linalg.norm((np.c_[x,y,z]-self.Mr.gridEx).flatten()) == 0)
def test_gridEy(self):
x = np.r_[0,0.5,1,0,0.5,1]
y = np.r_[0.5,0.5,0.5,0.5,0.5,0.5]
z = np.r_[0,0,0,1.,1.,1.]
self.assertTrue(np.linalg.norm((np.c_[x,y,z]-self.M.gridEy).flatten()) == 0)
x = np.r_[0,0.25,0.5,1,0,0.25,0.5,0,0.25,0.5,0,0.25,0.5,0,0.25,0.5,1,0,0.25,0.5]
y = np.r_[0.25,0.25,0.25,0.5,0.75,0.75,0.75,0.25,0.25,0.25,0.75,0.75,0.75,0.25,0.25,0.25,0.5,0.75,0.75,0.75]
z = np.r_[0,0,0,0,0,0,0,0.5,0.5,0.5,0.5,0.5,0.5,1,1,1,1,1,1,1]
self.assertTrue(np.linalg.norm((np.c_[x,y,z]-self.Mr.gridEy).flatten()) == 0)
def test_gridEz(self):
x = np.r_[0,0.5,1,0,0.5,1]
y = np.r_[0,0,0,1.,1.,1.]
z = np.r_[0.5,0.5,0.5,0.5,0.5,0.5]
self.assertTrue(np.linalg.norm((np.c_[x,y,z]-self.M.gridEz).flatten()) == 0)
x = np.r_[0,0.25,0.5,1,0 ,0.25,0.5,0,0.25,0.5,1,0,0.25,0.5,0 ,0.25,0.5,0 ,0.25,0.5]
y = np.r_[0,0 ,0 ,0,0.5,0.5 ,0.5,1,1 ,1 ,1,0,0 ,0 ,0.5,0.5 ,0.5,1 ,1 ,1 ]
z = np.r_[0.25,0.25,0.25,0.5,0.25,0.25,0.25,0.25,0.25,0.25,0.5,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75]
self.assertTrue(np.linalg.norm((np.c_[x,y,z]-self.Mr.gridEz).flatten()) == 0)
class TestQuadTreeObjects(unittest.TestCase):
def setUp(self):
self.M = TreeMesh([2,1])
self.Mr = TreeMesh([2,1])
self.Mr.children[0,0].refine()
self.Mr.number()
# self.Mr.plotGrid(showIt=True)
def test_pointersM(self):
c0 = self.M.children[0,0]
c0fXm = c0.faces['fXm']
c0fXp = c0.faces['fXp']
c0fYm = c0.faces['fYm']
c0fYp = c0.faces['fYp']
c1 = self.M.children[1,0]
c1fXm = c1.faces['fXm']
c1fXp = c1.faces['fXp']
c1fYm = c1.faces['fYm']
c1fYp = c1.faces['fYp']
self.assertTrue(c0fXp is c1fXm)
self.assertTrue(c0fYp is not c1fYm)
self.assertTrue(c0fXm is not c1fXm)
self.assertTrue(c0fXm.area == 1)
self.assertTrue(c0fYm.area == 0.5)
self.assertTrue(c0.nodes['n1'] is c1.nodes['n0'])
self.assertTrue(c0.nodes['n3'] is c1.nodes['n2'])
self.assertTrue(self.M.nN == 6)
def test_pointersMr(self):
c0 = self.Mr.sortedCells[0]
c0fXm = c0.faces['fXm']
c0fXp = c0.faces['fXp']
c0fYm = c0.faces['fYm']
c0fYp = c0.faces['fYp']
c1 = self.Mr.sortedCells[1]
c1fXm = c1.faces['fXm']
c1fXp = c1.faces['fXp']
c1fYm = c1.faces['fYm']
c1fYp = c1.faces['fYp']
c2 = self.Mr.sortedCells[2]
c2fXm = c2.faces['fXm']
c2fXp = c2.faces['fXp']
c2fYm = c2.faces['fYm']
c2fYp = c2.faces['fYp']
c4 = self.Mr.sortedCells[4]
c4fXm = c4.faces['fXm']
c4fXp = c4.faces['fXp']
c4fYm = c4.faces['fYm']
c4fYp = c4.faces['fYp']
self.assertTrue(c0fXp is c1fXm)
self.assertTrue(c1fXp.parent is c2fXm)
self.assertTrue(c1fXp.node0 is c2fXm.node0)
self.assertTrue(c1fXp.node0 is c2fXm.node0)
self.assertTrue(c4fYm is c1fYp)
self.assertTrue(c4fXp.parent is c2fXm)
self.assertTrue(c4fXp.node1 is c2fXm.node1)
self.assertTrue(c4fXp.node0 is c1fYp.node1)
self.assertTrue(c0fXp.node1 is c4fYm.node0)
self.assertTrue(self.Mr.nN == 11)
self.assertTrue(np.all(c1fXp.node0.x0 == np.r_[0.5,0]))
self.assertTrue(np.all(c1fYp.node0.x0 == np.r_[0.25,0.5]))
class TestQuadTreeMesh(unittest.TestCase):
def setUp(self):
M = TreeMesh([np.ones(x) for x in [3,2]])
for ii in range(1):
M.children[ii,ii].refine()
self.M = M
M.number()
# M.plotGrid(showIt=True)
def test_MeshSizes(self):
self.assertTrue(self.M.nC==9)
self.assertTrue(self.M.nF==25)
self.assertTrue(self.M.nFx==12)
self.assertTrue(self.M.nFy==13)
self.assertTrue(self.M.nE==25)
self.assertTrue(self.M.nEx==13)
self.assertTrue(self.M.nEy==12)
def test_gridCC(self):
x = np.r_[0.25,0.75,1.5,2.5,0.25,0.75,0.5,1.5,2.5]
y = np.r_[0.25,0.25,0.5,0.5,0.75,0.75,1.5,1.5,1.5]
self.assertTrue(np.linalg.norm((np.c_[x,y]-self.M.gridCC).flatten()) == 0)
def test_gridN(self):
x = np.r_[0,0.5,1,2,3,0,0.5,1,0,0.5,1,2,3,0,1,2,3]
y = np.r_[0,0,0,0,0,.5,.5,.5,1,1,1,1,1,2,2,2,2]
self.assertTrue(np.linalg.norm((np.c_[x,y]-self.M.gridN).flatten()) == 0)
def test_gridFx(self):
x = np.r_[0.0,0.5,1.0,2.0,3.0,0.0,0.5,1.0,0.0,1.0,2.0,3.0]
y = np.r_[0.25,0.25,0.25,0.5,0.5,0.75,0.75,0.75,1.5,1.5,1.5,1.5]
self.assertTrue(np.linalg.norm((np.c_[x,y]-self.M.gridFx).flatten()) == 0)
def test_gridFy(self):
x = np.r_[0.25,0.75,1.5,2.5,0.25,0.75,0.25,0.75,1.5,2.5,0.5,1.5,2.5]
y = np.r_[0,0,0,0,0.5,0.5,1,1,1,1,2,2,2]
self.assertTrue(np.linalg.norm((np.c_[x,y]-self.M.gridFy).flatten()) == 0)
def test_gridEx(self):
x = np.r_[0.25,0.75,1.5,2.5,0.25,0.75,0.25,0.75,1.5,2.5,0.5,1.5,2.5]
y = np.r_[0,0,0,0,0.5,0.5,1,1,1,1,2,2,2]
self.assertTrue(np.linalg.norm((np.c_[x,y]-self.M.gridEx).flatten()) == 0)
def test_gridEy(self):
x = np.r_[0.0,0.5,1.0,2.0,3.0,0.0,0.5,1.0,0.0,1.0,2.0,3.0]
y = np.r_[0.25,0.25,0.25,0.5,0.5,0.75,0.75,0.75,1.5,1.5,1.5,1.5]
self.assertTrue(np.linalg.norm((np.c_[x,y]-self.M.gridEy).flatten()) == 0)
class SimpleOctreeOperatorTests(unittest.TestCase):
def setUp(self):
h1 = np.random.rand(5)
h2 = np.random.rand(7)
h3 = np.random.rand(3)
self.tM = TensorMesh([h1,h2,1])
self.oM = TreeMesh([h1,h2,1])
def test_faceDiv(self):
print (self.tM.faceDiv - self.oM.faceDiv)
self.assertTrue((self.tM.faceDiv - self.oM.faceDiv).toarray().sum() == 0)
if __name__ == '__main__':
unittest.main()