test_matrix_power_op.py

# Copyright (c) 2021 PaddlePaddle 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.

import unittest
import numpy as np
import paddle.fluid as fluid
import paddle.fluid.core as core
import paddle
from op_test import OpTest

paddle.enable_static()


class TestMatrixPowerOp(OpTest):

    def config(self):
        self.matrix_shape = [10, 10]
        self.dtype = "float64"
        self.n = 0

    def setUp(self):
        self.op_type = "matrix_power"
        self.config()

        np.random.seed(123)
        mat = np.random.random(self.matrix_shape).astype(self.dtype)
        powered_mat = np.linalg.matrix_power(mat, self.n)

        self.inputs = {"X": mat}
        self.outputs = {"Out": powered_mat}
        self.attrs = {"n": self.n}

    def test_check_output(self):
        self.check_output()

    def test_grad(self):
        self.check_grad(["X"],
                        "Out",
                        numeric_grad_delta=1e-5,
                        max_relative_error=1e-7)


class TestMatrixPowerOpN1(TestMatrixPowerOp):

    def config(self):
        self.matrix_shape = [10, 10]
        self.dtype = "float64"
        self.n = 1


class TestMatrixPowerOpN2(TestMatrixPowerOp):

    def config(self):
        self.matrix_shape = [10, 10]
        self.dtype = "float64"
        self.n = 2


class TestMatrixPowerOpN3(TestMatrixPowerOp):

    def config(self):
        self.matrix_shape = [10, 10]
        self.dtype = "float64"
        self.n = 3


class TestMatrixPowerOpN4(TestMatrixPowerOp):

    def config(self):
        self.matrix_shape = [10, 10]
        self.dtype = "float64"
        self.n = 4


class TestMatrixPowerOpN5(TestMatrixPowerOp):

    def config(self):
        self.matrix_shape = [10, 10]
        self.dtype = "float64"
        self.n = 5


class TestMatrixPowerOpN6(TestMatrixPowerOp):

    def config(self):
        self.matrix_shape = [10, 10]
        self.dtype = "float64"
        self.n = 6


class TestMatrixPowerOpN10(TestMatrixPowerOp):

    def config(self):
        self.matrix_shape = [10, 10]
        self.dtype = "float64"
        self.n = 10


class TestMatrixPowerOpNMinus(TestMatrixPowerOp):

    def config(self):
        self.matrix_shape = [10, 10]
        self.dtype = "float64"
        self.n = -1

    def test_grad(self):
        self.check_grad(["X"],
                        "Out",
                        numeric_grad_delta=1e-5,
                        max_relative_error=1e-6)


class TestMatrixPowerOpNMinus2(TestMatrixPowerOpNMinus):

    def config(self):
        self.matrix_shape = [10, 10]
        self.dtype = "float64"
        self.n = -2


class TestMatrixPowerOpNMinus3(TestMatrixPowerOpNMinus):

    def config(self):
        self.matrix_shape = [10, 10]
        self.dtype = "float64"
        self.n = -3


class TestMatrixPowerOpNMinus4(TestMatrixPowerOpNMinus):

    def config(self):
        self.matrix_shape = [10, 10]
        self.dtype = "float64"
        self.n = -4


class TestMatrixPowerOpNMinus5(TestMatrixPowerOpNMinus):

    def config(self):
        self.matrix_shape = [10, 10]
        self.dtype = "float64"
        self.n = -5


class TestMatrixPowerOpNMinus6(TestMatrixPowerOpNMinus):

    def config(self):
        self.matrix_shape = [10, 10]
        self.dtype = "float64"
        self.n = -6


class TestMatrixPowerOpNMinus10(TestMatrixPowerOp):

    def config(self):
        self.matrix_shape = [10, 10]
        self.dtype = "float64"
        self.n = -10

    def test_grad(self):
        self.check_grad(["X"],
                        "Out",
                        numeric_grad_delta=1e-5,
                        max_relative_error=1e-6)


class TestMatrixPowerOpBatched1(TestMatrixPowerOp):

    def config(self):
        self.matrix_shape = [8, 4, 4]
        self.dtype = "float64"
        self.n = 5


class TestMatrixPowerOpBatched2(TestMatrixPowerOp):

    def config(self):
        self.matrix_shape = [2, 6, 4, 4]
        self.dtype = "float64"
        self.n = 4


class TestMatrixPowerOpBatched3(TestMatrixPowerOp):

    def config(self):
        self.matrix_shape = [2, 6, 4, 4]
        self.dtype = "float64"
        self.n = 0


class TestMatrixPowerOpBatchedLong(TestMatrixPowerOp):

    def config(self):
        self.matrix_shape = [1, 2, 3, 4, 4, 3, 3]
        self.dtype = "float64"
        self.n = 3


class TestMatrixPowerOpLarge1(TestMatrixPowerOp):

    def config(self):
        self.matrix_shape = [32, 32]
        self.dtype = "float64"
        self.n = 3


class TestMatrixPowerOpLarge2(TestMatrixPowerOp):

    def config(self):
        self.matrix_shape = [10, 10]
        self.dtype = "float64"
        self.n = 32


class TestMatrixPowerOpFP32(TestMatrixPowerOp):

    def config(self):
        self.matrix_shape = [10, 10]
        self.dtype = "float32"
        self.n = 2

    def test_grad(self):
        self.check_grad(["X"], "Out", max_relative_error=1e-2)


class TestMatrixPowerOpBatchedFP32(TestMatrixPowerOpFP32):

    def config(self):
        self.matrix_shape = [2, 8, 4, 4]
        self.dtype = "float32"
        self.n = 2


class TestMatrixPowerOpLarge1FP32(TestMatrixPowerOpFP32):

    def config(self):
        self.matrix_shape = [32, 32]
        self.dtype = "float32"
        self.n = 2


class TestMatrixPowerOpLarge2FP32(TestMatrixPowerOpFP32):

    def config(self):
        self.matrix_shape = [10, 10]
        self.dtype = "float32"
        self.n = 32


class TestMatrixPowerOpFP32Minus(TestMatrixPowerOpFP32):

    def config(self):
        self.matrix_shape = [10, 10]
        self.dtype = "float32"
        self.n = -1


class TestMatrixPowerAPI(unittest.TestCase):

    def setUp(self):
        np.random.seed(123)
        self.places = [fluid.CPUPlace()]
        if core.is_compiled_with_cuda():
            self.places.append(fluid.CUDAPlace(0))

    def check_static_result(self, place):
        with fluid.program_guard(fluid.Program(), fluid.Program()):
            input_x = fluid.data(name="input_x", shape=[4, 4], dtype="float64")
            result = paddle.linalg.matrix_power(x=input_x, n=-2)
            input_np = np.random.random([4, 4]).astype("float64")
            result_np = np.linalg.matrix_power(input_np, -2)

            exe = fluid.Executor(place)
            fetches = exe.run(fluid.default_main_program(),
                              feed={"input_x": input_np},
                              fetch_list=[result])
            np.testing.assert_allclose(fetches[0],
                                       np.linalg.matrix_power(input_np, -2),
                                       rtol=1e-05)

    def test_static(self):
        for place in self.places:
            self.check_static_result(place=place)

    def test_dygraph(self):
        for place in self.places:
            with fluid.dygraph.guard(place):
                input_np = np.random.random([4, 4]).astype("float64")
                input = paddle.to_tensor(input_np)
                result = paddle.linalg.matrix_power(input, -2)
                np.testing.assert_allclose(result.numpy(),
                                           np.linalg.matrix_power(input_np, -2),
                                           rtol=1e-05)


class TestMatrixPowerAPIError(unittest.TestCase):

    def test_errors(self):
        input_np = np.random.random([4, 4]).astype("float64")

        # input must be Variable.
        self.assertRaises(TypeError, paddle.linalg.matrix_power, input_np)

        # n must be int
        for n in [2.0, '2', -2.0]:
            input = fluid.data(name="input_float32",
                               shape=[4, 4],
                               dtype='float32')
            self.assertRaises(TypeError, paddle.linalg.matrix_power, input, n)

        # The data type of input must be float32 or float64.
        for dtype in ["bool", "int32", "int64", "float16"]:
            input = fluid.data(name="input_" + dtype, shape=[4, 4], dtype=dtype)
            self.assertRaises(TypeError, paddle.linalg.matrix_power, input, 2)

        # When out is set, the data type must be the same as input.
        input = fluid.data(name="input_1", shape=[4, 4], dtype="float32")
        out = fluid.data(name="output", shape=[4, 4], dtype="float64")
        self.assertRaises(TypeError, paddle.linalg.matrix_power, input, 2, out)

        # The number of dimensions of input must be >= 2.
        input = fluid.data(name="input_2", shape=[4], dtype="float32")
        self.assertRaises(ValueError, paddle.linalg.matrix_power, input, 2)

        # The inner-most 2 dimensions of input should be equal to each other
        input = fluid.data(name="input_3", shape=[4, 5], dtype="float32")
        self.assertRaises(ValueError, paddle.linalg.matrix_power, input, 2)


class TestMatrixPowerSingularAPI(unittest.TestCase):

    def setUp(self):
        self.places = [fluid.CPUPlace()]
        if core.is_compiled_with_cuda():
            self.places.append(fluid.CUDAPlace(0))

    def check_static_result(self, place):
        with fluid.program_guard(fluid.Program(), fluid.Program()):
            input = fluid.data(name="input", shape=[4, 4], dtype="float64")
            result = paddle.linalg.matrix_power(x=input, n=-2)

            input_np = np.zeros([4, 4]).astype("float64")

            exe = fluid.Executor(place)
            try:
                fetches = exe.run(fluid.default_main_program(),
                                  feed={"input": input_np},
                                  fetch_list=[result])
            except RuntimeError as ex:
                print("The mat is singular")
            except ValueError as ex:
                print("The mat is singular")

    def test_static(self):
        paddle.enable_static()
        for place in self.places:
            self.check_static_result(place=place)
        paddle.disable_static()

    def test_dygraph(self):
        for place in self.places:
            with fluid.dygraph.guard(place):
                input_np = np.ones([4, 4]).astype("float64")
                input = fluid.dygraph.to_variable(input_np)
                try:
                    result = paddle.linalg.matrix_power(input, -2)
                except RuntimeError as ex:
                    print("The mat is singular")
                except ValueError as ex:
                    print("The mat is singular")


if __name__ == "__main__":
    paddle.enable_static()
    unittest.main()