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76 lines
3.2 KiB
76 lines
3.2 KiB
# Copyright (c) 2020 PaddlePaddle Authors. All Rights Reserve.
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#
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# Licensed under the Apache License, Version 2.0 (the "License");
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# you may not use this file except in compliance with the License.
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# You may obtain a copy of the License at
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#
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# http://www.apache.org/licenses/LICENSE-2.0
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#
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# Unless required by applicable law or agreed to in writing, software
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# distributed under the License is distributed on an "AS IS" BASIS,
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# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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# See the License for the specific language governing permissions and
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# limitations under the License.
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from ..helper import is_complex, is_real, complex_variable_exists
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from ...fluid.framework import ComplexVariable
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from ...fluid import layers
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__all__ = ['matmul', ]
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def matmul(x, y, transpose_x=False, transpose_y=False, alpha=1.0, name=None):
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"""
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Applies matrix multiplication to two complex number tensors. See the
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detailed description in :ref:`api_fluid_layers_matmul`.
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Args:
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x (ComplexVariable|Variable): The first input, can be a ComplexVariable
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with data type complex32 or complex64, or a Variable with data type
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float32 or float64.
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y (ComplexVariable|Variable): The second input, can be a ComplexVariable
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with data type complex32 or complex64, or a Variable with data type
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float32 or float64.
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transpose_x (bool): Whether to transpose :math:`x` before multiplication.
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transpose_y (bool): Whether to transpose :math:`y` before multiplication.
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alpha (float): The scale of output. Default 1.0.
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name(str|None): A name for this layer(optional). If set None, the layer
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will be named automatically.
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Returns:
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ComplexVariable: The product result, with the same data type as inputs.
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Examples:
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.. code-block:: python
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import numpy as np
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import paddle
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import paddle.fluid.dygraph as dg
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with dg.guard():
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x = np.array([[1.0 + 1j, 2.0 + 1j], [3.0+1j, 4.0+1j]])
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y = np.array([1.0 + 1j, 1.0 + 1j])
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x_var = dg.to_variable(x)
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y_var = dg.to_variable(y)
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result = paddle.complex.matmul(x_var, y_var)
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print(result.numpy())
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# [1.+5.j 5.+9.j]
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"""
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# x = a + bi, y = c + di
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# mm(x, y) = mm(a, c) - mm(b, d) + (mm(a, d) + mm(b, c))i
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complex_variable_exists([x, y], "matmul")
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a, b = (x.real, x.imag) if is_complex(x) else (x, None)
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c, d = (y.real, y.imag) if is_complex(y) else (y, None)
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ac = layers.matmul(a, c, transpose_x, transpose_y, alpha, name)
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if is_real(b) and is_real(d):
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bd = layers.matmul(b, d, transpose_x, transpose_y, alpha, name)
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real = ac - bd
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imag = layers.matmul(a, d, transpose_x, transpose_y, alpha, name) + \
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layers.matmul(b, c, transpose_x, transpose_y, alpha, name)
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elif is_real(b):
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real = ac
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imag = layers.matmul(b, c, transpose_x, transpose_y, alpha, name)
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else:
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real = ac
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imag = layers.matmul(a, d, transpose_x, transpose_y, alpha, name)
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return ComplexVariable(real, imag)
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