1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
|
from petsc4py import PETSc
import unittest
def mkmat(n, mtype, opts):
A = PETSc.Mat().create(PETSc.COMM_SELF)
A.setSizes([n, n])
A.setType(mtype)
A.setUp()
for o in opts:
A.setOption(o, True)
return A
def mksys_diag(n, mtype, opts):
A = mkmat(n, mtype, opts)
x, b = A.createVecs()
for i in range(n):
A[i, i] = i + 1
x[i] = 1.0 / (i + 1)
b[i] = 1
A.assemble()
x.assemble()
b.assemble()
return A, x, b
def mksys_poi2(n, mtype, opts):
A = mkmat(n, mtype, opts)
x, b = A.createVecs()
for i in range(n):
if i == 0:
cols = [i, i + 1]
vals = [2, -1]
elif i == n - 1:
cols = [i - 1, i]
vals = [-1, 2]
else:
cols = [i - 1, i, i + 1]
vals = [-1, 2, -1]
A[i, cols] = vals
x[i] = i + 1
b[i] = 0
A.assemble()
x.assemble()
b.assemble()
A.mult(x, b)
return A, x, b
class BaseTestMatFactor:
MKSYS = None
MTYPE = None
MOPTS = ()
def setUp(self):
A, x, b = self.MKSYS(10, self.MTYPE, self.MOPTS)
self.A = A
self.x = x
self.b = b
def tearDown(self):
self.A.setUnfactored()
self.A.destroy()
self.A = None
self.x.destroy()
self.x = None
self.b.destroy()
self.b = None
PETSc.garbage_cleanup()
class BaseTestMatFactorLU(BaseTestMatFactor):
def testFactorLU(self):
r, c = self.A.getOrdering('nd')
self.A.reorderForNonzeroDiagonal(r, c)
self.A.factorLU(r, c, {'zeropivot': 1e-5})
x = self.x.duplicate()
self.A.solve(self.b, x)
x.axpy(-1, self.x)
self.assertTrue(x.norm() < 1e-3)
class BaseTestMatFactorILU(BaseTestMatFactor):
def testFactorILU(self):
r, c = self.A.getOrdering('natural')
self.A.factorILU(r, c, {'levels': 0})
x = self.x.duplicate()
self.A.solve(self.b, x)
x.axpy(-1, self.x)
self.assertTrue(x.norm() < 1e-3)
## class BaseTestMatFactorILUDT(BaseTestMatFactor):
##
## def testFactorILUDT(self):
## r, c = self.A.getOrdering("natural")
## self.A = self.A.factorILUDT(r,c)
## x = self.x.duplicate()
## self.A.solve(self.b, x)
## x.axpy(-1, self.x)
## self.assertTrue(x.norm() < 1e-3)
##
class BaseTestMatFactorChol(BaseTestMatFactor):
def testFactorChol(self):
r, c = self.A.getOrdering('natural')
self.A.factorCholesky(r)
x = self.x.duplicate()
self.A.solve(self.b, x)
x.axpy(-1, self.x)
self.assertTrue(x.norm() < 1e-3)
class BaseTestMatFactorICC(BaseTestMatFactor):
def testFactorICC(self):
r, c = self.A.getOrdering('natural')
self.A.factorICC(r)
x = self.x.duplicate()
self.A.solve(self.b, x)
x.axpy(-1, self.x)
self.assertTrue(x.norm() < 1e-3)
# --------------------------------------------------------------------
class TestMatFactorA1(BaseTestMatFactorLU, BaseTestMatFactorChol, unittest.TestCase):
MKSYS = staticmethod(mksys_diag)
MTYPE = PETSc.Mat.Type.SEQDENSE
class TestMatFactorA2(BaseTestMatFactorLU, BaseTestMatFactorChol, unittest.TestCase):
MKSYS = staticmethod(mksys_poi2)
MTYPE = PETSc.Mat.Type.SEQDENSE
# ---
class TestMatFactorB1(
BaseTestMatFactorLU,
BaseTestMatFactorILU,
## BaseTestMatFactorILUDT,
unittest.TestCase,
):
MKSYS = staticmethod(mksys_diag)
MTYPE = PETSc.Mat.Type.SEQAIJ
class TestMatFactorB2(
BaseTestMatFactorLU,
BaseTestMatFactorILU,
## BaseTestMatFactorILUDT,
unittest.TestCase,
):
MKSYS = staticmethod(mksys_poi2)
MTYPE = PETSc.Mat.Type.SEQAIJ
# ---
class TestMatFactorC1(BaseTestMatFactorLU, BaseTestMatFactorILU, unittest.TestCase):
MKSYS = staticmethod(mksys_diag)
MTYPE = PETSc.Mat.Type.SEQBAIJ
class TestMatFactorC2(BaseTestMatFactorLU, BaseTestMatFactorILU, unittest.TestCase):
MKSYS = staticmethod(mksys_poi2)
MTYPE = PETSc.Mat.Type.SEQBAIJ
# ---
class TestMatFactorD1(BaseTestMatFactorChol, BaseTestMatFactorICC, unittest.TestCase):
MKSYS = staticmethod(mksys_diag)
MTYPE = PETSc.Mat.Type.SEQSBAIJ
MOPTS = [PETSc.Mat.Option.IGNORE_LOWER_TRIANGULAR]
class TestMatFactorD2(BaseTestMatFactorChol, BaseTestMatFactorICC, unittest.TestCase):
MKSYS = staticmethod(mksys_poi2)
MTYPE = PETSc.Mat.Type.SEQSBAIJ
MOPTS = [PETSc.Mat.Option.IGNORE_LOWER_TRIANGULAR]
# --------------------------------------------------------------------
if __name__ == '__main__':
unittest.main()
|
