def test_randomize_extra_entries_bm(self, its=50):
for it in range(its):
size = random.choice([0, 1, randint(0, 10), randint(0, 100)])
mat_bm = gen_BandMat_simple(size)
mat_full = mat_bm.full()
th.randomize_extra_entries_bm(mat_bm)
th.assert_allequal(mat_bm.full(), mat_full)
def gen_symmetric_BandMat(size, depth=None, transposed=None):
if depth is None:
depth = random.choice([0, 1, randint(0, 10)])
if transposed is None:
transposed = rand_bool()
a_bm = gen_BandMat(size, l=depth, u=depth, transposed=transposed)
b_bm = a_bm + a_bm.T
randomize_extra_entries_bm(b_bm)
return b_bm
def gen_symmetric_BandMat(size, depth=None, transposed=None):
if depth is None:
depth = random.choice([0, 1, randint(0, 10)])
if transposed is None:
transposed = rand_bool()
a_bm = gen_BandMat(size, l=depth, u=depth, transposed=transposed)
b_bm = a_bm + a_bm.T
randomize_extra_entries_bm(b_bm)
return b_bm
def gen_pos_def_BandMat(size, depth=None, contrib_rank=2, transposed=None):
"""Generates a random positive definite BandMat."""
assert contrib_rank >= 0
if depth is None:
depth = random.choice([0, 1, randint(0, 10)])
if transposed is None:
transposed = rand_bool()
mat_bm = bm.zeros(depth, depth, size)
for _ in range(contrib_rank):
diff = randint(0, depth + 1)
chol_bm = gen_BandMat(size, l=depth - diff, u=diff)
bm.dot_mm_plus_equals(chol_bm, chol_bm.T, mat_bm)
if transposed:
mat_bm = mat_bm.T
randomize_extra_entries_bm(mat_bm)
return mat_bm
def gen_pos_def_BandMat(size, depth=None, contrib_rank=2, transposed=None):
"""Generates a random positive definite BandMat."""
assert contrib_rank >= 0
if depth is None:
depth = random.choice([0, 1, randint(0, 10)])
if transposed is None:
transposed = rand_bool()
mat_bm = bm.zeros(depth, depth, size)
for _ in range(contrib_rank):
diff = randint(0, depth + 1)
chol_bm = gen_BandMat(size, l=depth - diff, u=diff)
bm.dot_mm_plus_equals(chol_bm, chol_bm.T, mat_bm)
if transposed:
mat_bm = mat_bm.T
randomize_extra_entries_bm(mat_bm)
return mat_bm
def gen_chol_factor_BandMat(size, depth=None, contrib_rank=2, transposed=None):
"""Generates a random Cholesky factor BandMat.
This works by generating a random positive definite matrix and then
computing its Cholesky factor, since using a random matrix as a Cholesky
factor seems to often lead to ill-conditioned matrices.
"""
if transposed is None:
transposed = rand_bool()
mat_bm = gen_pos_def_BandMat(size, depth=depth, contrib_rank=contrib_rank)
chol_bm = bla.cholesky(mat_bm, lower=rand_bool())
if transposed:
chol_bm = chol_bm.T
assert chol_bm.l == 0 or chol_bm.u == 0
assert chol_bm.l + chol_bm.u == mat_bm.l
randomize_extra_entries_bm(chol_bm)
return chol_bm
def gen_chol_factor_BandMat(size, depth=None, contrib_rank=2, transposed=None):
"""Generates a random Cholesky factor BandMat.
This works by generating a random positive definite matrix and then
computing its Cholesky factor, since using a random matrix as a Cholesky
factor seems to often lead to ill-conditioned matrices.
"""
if transposed is None:
transposed = rand_bool()
mat_bm = gen_pos_def_BandMat(size, depth=depth, contrib_rank=contrib_rank)
chol_bm = bla.cholesky(mat_bm, lower=rand_bool())
if transposed:
chol_bm = chol_bm.T
assert chol_bm.l == 0 or chol_bm.u == 0
assert chol_bm.l + chol_bm.u == mat_bm.l
randomize_extra_entries_bm(chol_bm)
return chol_bm