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from numpy import array, kron, matrix, diag
from numpy.testing import *
from scipy.sparse.spfuncs import *
from scipy.sparse import csr_matrix, csc_matrix, bsr_matrix
from scipy.sparse.sparsetools import csr_scale_rows, csr_scale_columns, \
bsr_scale_rows, bsr_scale_columns
class TestSparseFunctions(TestCase):
def test_scale_rows_and_cols(self):
D = matrix([[1,0,0,2,3],
[0,4,0,5,0],
[0,0,6,7,0]])
#TODO expose through function
S = csr_matrix(D)
v = array([1,2,3])
csr_scale_rows(3,5,S.indptr,S.indices,S.data,v)
assert_equal(S.todense(), diag(v)*D )
S = csr_matrix(D)
v = array([1,2,3,4,5])
csr_scale_columns(3,5,S.indptr,S.indices,S.data,v)
assert_equal(S.todense(), D*diag(v) )
# blocks
E = kron(D,[[1,2],[3,4]])
S = bsr_matrix(E,blocksize=(2,2))
v = array([1,2,3,4,5,6])
bsr_scale_rows(3,5,2,2,S.indptr,S.indices,S.data,v)
assert_equal(S.todense(), diag(v)*E )
S = bsr_matrix(E,blocksize=(2,2))
v = array([1,2,3,4,5,6,7,8,9,10])
bsr_scale_columns(3,5,2,2,S.indptr,S.indices,S.data,v)
assert_equal(S.todense(), E*diag(v) )
E = kron(D,[[1,2,3],[4,5,6]])
S = bsr_matrix(E,blocksize=(2,3))
v = array([1,2,3,4,5,6])
bsr_scale_rows(3,5,2,3,S.indptr,S.indices,S.data,v)
assert_equal(S.todense(), diag(v)*E )
S = bsr_matrix(E,blocksize=(2,3))
v = array([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15])
bsr_scale_columns(3,5,2,3,S.indptr,S.indices,S.data,v)
assert_equal(S.todense(), E*diag(v) )
def test_estimate_blocksize(self):
mats = []
mats.append( [[0,1],[1,0]] )
mats.append( [[1,1,0],[0,0,1],[1,0,1]] )
mats.append( [[0],[0],[1]] )
mats = [array(x) for x in mats]
blks = []
blks.append( [[1]] )
blks.append( [[1,1],[1,1]] )
blks.append( [[1,1],[0,1]] )
blks.append( [[1,1,0],[1,0,1],[1,1,1]] )
blks = [array(x) for x in blks]
for A in mats:
for B in blks:
X = kron(A,B)
r,c = estimate_blocksize(X)
assert(r >= B.shape[0])
assert(c >= B.shape[1])
def test_count_blocks(self):
def gold(A,bs):
R,C = bs
I,J = A.nonzero()
return len( set( zip(I/R,J/C) ) )
mats = []
mats.append( [[0]] )
mats.append( [[1]] )
mats.append( [[1,0]] )
mats.append( [[1,1]] )
mats.append( [[0,1],[1,0]] )
mats.append( [[1,1,0],[0,0,1],[1,0,1]] )
mats.append( [[0],[0],[1]] )
for A in mats:
for B in mats:
X = kron(A,B)
Y = csr_matrix(X)
for R in range(1,6):
for C in range(1,6):
assert_equal(count_blocks(Y,(R,C)),gold(X,(R,C)))
X = kron([[1,1,0],[0,0,1],[1,0,1]],[[1,1]])
Y = csc_matrix(X)
assert_equal(count_blocks(X,(1,2)),gold(X,(1,2)))
assert_equal(count_blocks(Y,(1,2)),gold(X,(1,2)))
if __name__ == "__main__":
run_module_suite()
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