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import unittest
import math, random
import spmatrix
import spmatrix_util
import poisson
import scipy
#from Numeric import RandomArray
def llmat_isEqual(aMat, bMat):
if aMat.issym and not bMat.issym:
temp = aMat; aMat = bMat; bMat = temp
zMat = aMat.copy()
zMat.shift(-1.0, bMat)
return zMat.nnz == 0
class LLMatSimpleTestCase(unittest.TestCase):
def setUp(self):
self.n = 10
self.A = spmatrix.ll_mat(self.n, self.n)
self.S = spmatrix.ll_mat_sym(self.n)
def testCreate(self):
self.failUnless(self.A.shape == (self.n, self.n))
self.failUnless(self.A.nnz == 0)
self.failUnless(not self.A.issym)
self.failUnless(self.S.shape == (self.n, self.n))
self.failUnless(self.S.nnz == 0)
self.failUnless(self.S.issym)
def testEntry(self):
def assignUP(): self.S[0,1] = 1.0
def assignLeft(): self.S[-11,0] = 1.0
def assignRight(): self.S[10,0] = 1.0
def assignTop(): self.S[0,-11] = 1.0
def assignBottom(): self.S[0,10] = 1.0
self.A[0,0] = 1.0
self.S[0,0] = 1.0
self.failUnless(self.A[0,0] == 1.0)
self.failUnless(self.A.nnz == 1)
self.failUnless(self.S[0,0] == 1.0)
self.failUnless(self.S.nnz == 1)
self.failUnlessRaises(spmatrix.error, assignUP)
self.A[0,0] += 1.0
self.failUnless(self.A[0,0] == 2.0)
self.failUnless(self.A.nnz == 1)
self.A[0,0] -= 2.0
self.failUnless(self.A[0,0] == 0.0)
self.failUnless(self.A.nnz == 0)
# indices out of bounds
for f in [assignLeft, assignRight, assignTop, assignBottom]:
self.failUnlessRaises(IndexError, f)
# negative indices
I = spmatrix.ll_mat(10, 10, 100)
for i in range(10):
for j in range(10):
I[i,j] = 10*i + j
for i in range(-10, 0):
for j in range(-10, 0):
self.failUnless(I[i,j] == I[10+i,10+j])
class LLMatPoissonTestCase(unittest.TestCase):
def setUp(self):
self.n = 20
self.A = poisson.poisson2d(self.n)
self.S = poisson.poisson2d_sym(self.n)
self.B = poisson.poisson2d_sym_blk(self.n)
def testBasic(self):
self.failUnless(self.S.nnz == self.n*(3*self.n - 2))
self.failUnless(self.A.nnz == self.n*(5*self.n - 4))
self.failUnless(llmat_isEqual(self.A, self.A))
self.failUnless(llmat_isEqual(self.S, self.S))
self.failUnless(llmat_isEqual(self.A, self.S))
self.failUnless(llmat_isEqual(self.A, self.B))
def testSubmatrix(self):
n = self.n
Psym = poisson.poisson1d_sym(n)
P = poisson.poisson1d(n)
for i in range(n):
P[i,i] = 4.0
Psym[i,i] = 4.0
# read and test diagonal blocks
for i in range(n):
self.failUnless(llmat_isEqual(self.A[n*i:n*(i+1),n*i:n*(i+1)], P))
self.failUnless(llmat_isEqual(self.S[n*i:n*(i+1),n*i:n*(i+1)], P))
self.failUnless(llmat_isEqual(self.A[n*i:n*(i+1),n*i:n*(i+1)], Psym))
self.failUnless(llmat_isEqual(self.S[n*i:n*(i+1),n*i:n*(i+1)], Psym))
# store and get diagonal blocks
R = spmatrix_util.ll_mat_rand(n*n, n*n, 0.01) # random matrix
for i in range(n):
R[n*i:n*(i+1),n*i:n*(i+1)] = P
self.failUnless(llmat_isEqual(R[n*i:n*(i+1),n*i:n*(i+1)], P))
R[n*i:n*(i+1),n*i:n*(i+1)] = Psym
self.failUnless(llmat_isEqual(R[n*i:n*(i+1),n*i:n*(i+1)], Psym))
# store and get off-diagonal blocks
for i in range(n-1):
R[n*i:n*(i+1),n*(i+1):n*(i+2)] = P
self.failUnless(llmat_isEqual(R[n*i:n*(i+1),n*(i+1):n*(i+2)], P))
R[n*i:n*(i+1),n*(i+1):n*(i+2)] = Psym
self.failUnless(llmat_isEqual(R[n*i:n*(i+1),n*(i+1):n*(i+2)], Psym))
# store and get diagonal blocks in symmetric matrix
R = spmatrix.ll_mat_sym(n*n)
for i in range(n):
R[n*i:n*(i+1),n*i:n*(i+1)] = Psym
self.failUnless(llmat_isEqual(R[n*i:n*(i+1),n*i:n*(i+1)], Psym))
# store and get off-diagonal blocks in symmetric matrix
for i in range(n-1):
R[n*(i+1):n*(i+2),n*i:n*(i+1)] = P
self.failUnless(llmat_isEqual(R[n*(i+1):n*(i+2),n*i:n*(i+1)], P))
R[n*(i+1):n*(i+2),n*i:n*(i+1)] = Psym
self.failUnless(llmat_isEqual(R[n*(i+1):n*(i+2),n*i:n*(i+1)], Psym))
class LLMatDeleteRowColsTestCase(unittest.TestCase):
def setUp(self):
import Numeric
self.n = 30
self.P = poisson.poisson1d(self.n)
for i in range(self.n):
self.P[i,i] = 4.0
self.A = poisson.poisson2d(self.n)
self.S = poisson.poisson2d_sym(self.n)
self.I = spmatrix.ll_mat_sym(self.n)
for i in range(self.n):
self.I[i,i] = -1.0
self.mask = Numeric.zeros(self.n**2, 'l')
self.mask[self.n/2*self.n:(self.n/2 + 1)*self.n] = 1
self.mask1 = Numeric.zeros(self.n**2, 'l')
self.mask1[(self.n/2 + 1)*self.n:(self.n/2 + 2)*self.n] = 1
def testDeleteRowColsSym(self):
self.S.delete_rowcols(self.mask)
self.failUnless(llmat_isEqual(self.S, self.P))
def testDeleteRowColsGen(self):
self.A.delete_rowcols(self.mask)
self.failUnless(llmat_isEqual(self.A, self.P))
def testDeleteRowColsGen2Step(self):
self.A.delete_rows(self.mask)
self.A.delete_cols(self.mask)
self.failUnless(llmat_isEqual(self.A, self.P))
def testDeleteRowColsGen2StepOff(self):
self.A.delete_rows(self.mask)
self.A.delete_cols(self.mask1)
self.failUnless(llmat_isEqual(self.A, self.I))
def testCompress(self):
self.A.delete_rows(self.mask)
self.A.delete_cols(self.mask1)
norm1 = self.A.norm('fro')
self.A.compress()
norm2 = self.A.norm('fro')
self.failUnless(norm1 == norm2)
def testCompressStress(self):
n = 20
A = spmatrix.ll_mat(n, n)
for k in range(20):
for i in range(n*n/2):
i = random.randrange(n)
j = random.randrange(n)
A[i, j] = 1.0
for i in range(n*n/2):
i = random.randrange(n)
j = random.randrange(n)
A[i, j] = 0.0
class LLMatNorm(unittest.TestCase):
def setUp(self):
self.n = 30
def testNormGeneral(self):
A = poisson.poisson2d(self.n)
self.failUnless(A.norm('1') == 8)
self.failUnless(A.norm('inf') == 8)
self.failUnless(poisson.poisson1d(3).norm('fro') == 4)
def testNormSymmetric(self):
A = spmatrix.ll_mat_sym(4)
A[0,0] = 1; A[1,1] = 2; A[2,2] = 3; A[3,3] = 4;
A[1,0] = 3; A[2,0] = 2; A[3,0] = 2;
self.failUnless(A.norm('fro') == 8)
def testNormSymmetricNotImplemented(self):
def f(): return A.norm('1')
def g(): return A.norm('inf')
A = poisson.poisson2d_sym(self.n)
self.failUnlessRaises(NotImplementedError, f)
self.failUnlessRaises(NotImplementedError, g)
class LLMatMatMul(unittest.TestCase):
def testRandomMat(self):
eps = 2.2204460492503131E-16
n = 30; m = 60; k = 30
for i in range(100):
A = spmatrix_util.ll_mat_rand(n, k, 0.9)
B = spmatrix_util.ll_mat_rand(k, m, 0.4)
C = spmatrix.matrixmultiply(A, B)
t = Numeric.zeros(k, 'd')
y1 = Numeric.zeros(n, 'd')
y2 = Numeric.zeros(n, 'd')
for s in range(10):
#x = RandomArray.random((m, ))
x = numpy.random.rand((m, ))
C.matvec(x, y1)
B.matvec(x, t)
A.matvec(t, y2)
self.failUnless(math.sqrt(Numeric.dot(y1 - y2, y1 - y2)) < eps * n*m*k)
if __name__ == '__main__':
unittest.main()
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