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# Copyright 2015 The TensorFlow Authors. All Rights Reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
# ==============================================================================
"""Tests for tensorflow.ops.math_ops.matrix_solve."""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
import numpy as np
from tensorflow.python.client import session
from tensorflow.python.framework import constant_op
from tensorflow.python.framework import dtypes
from tensorflow.python.framework import ops
from tensorflow.python.ops import array_ops
from tensorflow.python.ops import control_flow_ops
from tensorflow.python.ops import linalg_ops
from tensorflow.python.ops import random_ops
from tensorflow.python.ops import variables
from tensorflow.python.platform import benchmark
from tensorflow.python.platform import test
class MatrixSolveOpTest(test.TestCase):
def _verifySolve(self, x, y, batch_dims=None):
for np_type in [np.float32, np.float64, np.complex64, np.complex128]:
if np_type == np.float32 or np_type == np.complex64:
tol = 1e-5
else:
tol = 1e-12
for adjoint in False, True:
if np_type is [np.float32, np.float64]:
a = x.real().astype(np_type)
b = y.real().astype(np_type)
else:
a = x.astype(np_type)
b = y.astype(np_type)
a_np = np.conj(np.transpose(a)) if adjoint else a
if batch_dims is not None:
a = np.tile(a, batch_dims + [1, 1])
a_np = np.tile(a_np, batch_dims + [1, 1])
b = np.tile(b, batch_dims + [1, 1])
np_ans = np.linalg.solve(a_np, b)
for use_placeholder in False, True:
with self.test_session(use_gpu=True) as sess:
if use_placeholder:
a_ph = array_ops.placeholder(dtypes.as_dtype(np_type))
b_ph = array_ops.placeholder(dtypes.as_dtype(np_type))
tf_ans = linalg_ops.matrix_solve(a_ph, b_ph, adjoint=adjoint)
out = sess.run(tf_ans, {a_ph: a, b_ph: b})
else:
tf_ans = linalg_ops.matrix_solve(a, b, adjoint=adjoint)
out = tf_ans.eval()
self.assertEqual(tf_ans.get_shape(), out.shape)
self.assertEqual(np_ans.shape, out.shape)
self.assertAllClose(np_ans, out, atol=tol, rtol=tol)
def _generateMatrix(self, m, n):
matrix = (np.random.normal(-5, 5,
m * n).astype(np.complex128).reshape([m, n]))
matrix.imag = (np.random.normal(-5, 5, m * n).astype(np.complex128).reshape(
[m, n]))
return matrix
def testSolve(self):
for n in 1, 2, 4, 9:
matrix = self._generateMatrix(n, n)
for nrhs in 1, 2, n:
rhs = self._generateMatrix(n, nrhs)
self._verifySolve(matrix, rhs)
def testSolveBatch(self):
for n in 2, 5:
matrix = self._generateMatrix(n, n)
for nrhs in 1, n:
rhs = self._generateMatrix(n, nrhs)
for batch_dims in [[2], [2, 2], [7, 4]]:
self._verifySolve(matrix, rhs, batch_dims=batch_dims)
def testNonSquareMatrix(self):
# When the solve of a non-square matrix is attempted we should return
# an error
with self.test_session(use_gpu=True):
with self.assertRaises(ValueError):
matrix = constant_op.constant([[1., 2., 3.], [3., 4., 5.]])
linalg_ops.matrix_solve(matrix, matrix)
def testWrongDimensions(self):
# The matrix and right-hand sides should have the same number of rows.
with self.test_session(use_gpu=True):
matrix = constant_op.constant([[1., 0.], [0., 1.]])
rhs = constant_op.constant([[1., 0.]])
with self.assertRaises(ValueError):
linalg_ops.matrix_solve(matrix, rhs)
def testNotInvertible(self):
# The input should be invertible.
with self.test_session(use_gpu=True):
with self.assertRaisesOpError("Input matrix is not invertible."):
# All rows of the matrix below add to zero
matrix = constant_op.constant([[1., 0., -1.], [-1., 1., 0.],
[0., -1., 1.]])
linalg_ops.matrix_solve(matrix, matrix).eval()
def testConcurrent(self):
with self.test_session(use_gpu=True) as sess:
all_ops = []
for adjoint_ in False, True:
lhs1 = random_ops.random_normal([3, 3], seed=42)
lhs2 = random_ops.random_normal([3, 3], seed=42)
rhs1 = random_ops.random_normal([3, 3], seed=42)
rhs2 = random_ops.random_normal([3, 3], seed=42)
s1 = linalg_ops.matrix_solve(lhs1, rhs1, adjoint=adjoint_)
s2 = linalg_ops.matrix_solve(lhs2, rhs2, adjoint=adjoint_)
all_ops += [s1, s2]
val = sess.run(all_ops)
self.assertAllEqual(val[0], val[1])
self.assertAllEqual(val[2], val[3])
class MatrixSolveBenchmark(test.Benchmark):
matrix_shapes = [
(4, 4),
(10, 10),
(16, 16),
(101, 101),
(256, 256),
(1001, 1001),
(1024, 1024),
(2048, 2048),
(513, 4, 4),
(513, 16, 16),
(513, 256, 256),
]
def _GenerateTestData(self, matrix_shape, num_rhs):
batch_shape = matrix_shape[:-2]
matrix_shape = matrix_shape[-2:]
assert matrix_shape[0] == matrix_shape[1]
n = matrix_shape[0]
matrix = (np.ones(matrix_shape).astype(np.float32) /
(2.0 * n) + np.diag(np.ones(n).astype(np.float32)))
rhs = np.ones([n, num_rhs]).astype(np.float32)
matrix = variables.Variable(
np.tile(matrix, batch_shape + (1, 1)), trainable=False)
rhs = variables.Variable(
np.tile(rhs, batch_shape + (1, 1)), trainable=False)
return matrix, rhs
def benchmarkMatrixSolveOp(self):
run_gpu_test = test.is_gpu_available(True)
for adjoint in False, True:
for matrix_shape in self.matrix_shapes:
for num_rhs in 1, 2, matrix_shape[-1]:
with ops.Graph().as_default(), \
session.Session(config=benchmark.benchmark_config()) as sess, \
ops.device("/cpu:0"):
matrix, rhs = self._GenerateTestData(matrix_shape, num_rhs)
x = linalg_ops.matrix_solve(matrix, rhs, adjoint=adjoint)
variables.global_variables_initializer().run()
self.run_op_benchmark(
sess,
control_flow_ops.group(x),
min_iters=25,
store_memory_usage=False,
name=("matrix_solve_cpu_shape_{matrix_shape}_num_rhs_{num_rhs}_"
"adjoint_{adjoint}").format(
matrix_shape=matrix_shape,
num_rhs=num_rhs,
adjoint=adjoint))
if run_gpu_test:
with ops.Graph().as_default(), \
session.Session(config=benchmark.benchmark_config()) as sess, \
ops.device("/gpu:0"):
matrix, rhs = self._GenerateTestData(matrix_shape, num_rhs)
x = linalg_ops.matrix_solve(matrix, rhs, adjoint=adjoint)
variables.global_variables_initializer().run()
self.run_op_benchmark(
sess,
control_flow_ops.group(x),
min_iters=25,
store_memory_usage=False,
name=("matrix_solve_gpu_shape_{matrix_shape}_num_rhs_"
"{num_rhs}_adjoint_{adjoint}").format(
matrix_shape=matrix_shape, num_rhs=num_rhs,
adjoint=adjoint))
if __name__ == "__main__":
test.main()
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