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217 lines
9.1 KiB
217 lines
9.1 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__ = [
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'elementwise_add', 'elementwise_sub', 'elementwise_mul', 'elementwise_div'
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]
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def elementwise_add(x, y, axis=-1, name=None):
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"""
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The element-wise addition layer for complex number inputs. At least one of
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inputs :attr:`x` and :attr:`y` must be a ComplexVariable. See the detailed
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description for the function and other arguments
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in :ref:`api_fluid_layers_elementwise_add` .
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Args:
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x (Variable|ComplexVariable): The first input Variable or ComplexVariable
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with any number of dimensions. The supported data types include float32
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and float64 when it is a Variable. Otherwise the supported data types
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are complex64 or complex128.
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y (Variable|ComplexVariable): The second input Variable or ComplexVariable
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with any number of dimensions. The supported data types include float32
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and float64 when it is a Variable. Otherwise the supported data types
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are complex64 or complex128.
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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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a = np.array([[1.0+1.0j, 2.0+1.0j], [3.0+1.0j, 4.0+1.0j]])
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b = np.array([[5.0+2.0j, 6.0+2.0j], [7.0+2.0j, 8.0+2.0j]])
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with dg.guard():
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x = dg.to_variable(a)
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y = dg.to_variable(b)
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out = paddle.complex.elementwise_add(x, y)
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print(out.numpy())
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# [[ 6.+3.j 8.+3.j]
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# [10.+3.j 12.+3.j]]
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"""
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complex_variable_exists([x, y], "elementwise_add")
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(x_real, x_imag) = (x.real, x.imag) if is_complex(x) else (x, None)
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(y_real, y_imag) = (y.real, y.imag) if is_complex(y) else (y, None)
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real = layers.elementwise_add(x_real, y_real, axis=axis, name=name)
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if is_real(x_imag) and is_real(y_imag):
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imag = layers.elementwise_add(x_imag, y_imag, axis=axis, name=name)
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elif is_real(x_imag):
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imag = layers.assign(x_imag)
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else:
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imag = layers.elementwise_add(
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layers.zeros_like(x_real), y_imag, axis=axis, name=name)
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return ComplexVariable(real, imag)
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def elementwise_sub(x, y, axis=-1, name=None):
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"""
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The element-wise subtraction layer for complex number inputs. At least one of
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inputs :attr:`x` and :attr:`y` must be a ComplexVariable. See the detailed
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description for the function and other arguments
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in :ref:`api_fluid_layers_elementwise_sub` .
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Args:
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x (Variable|ComplexVariable): The first input Variable or ComplexVariable
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with any number of dimensions. The supported data types include float32
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and float64 when it is a Variable. Otherwise the supported data types
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are complex64 or complex128.
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y (Variable|ComplexVariable): The second input Variable or ComplexVariable
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with any number of dimensions. The supported data types include float32
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and float64 when it is a Variable. Otherwise the supported data types
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are complex64 or complex128.
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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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a = np.array([[1.0+1.0j, 2.0+1.0j], [3.0+1.0j, 4.0+1.0j]])
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b = np.array([[5.0+2.0j, 6.0+2.0j], [7.0+2.0j, 8.0+2.0j]])
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with dg.guard():
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x = dg.to_variable(a)
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y = dg.to_variable(b)
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out = paddle.complex.elementwise_sub(x, y)
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print(out.numpy())
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# [[-4.-1.j -4.-1.j]
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# [-4.-1.j -4.-1.j]]
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"""
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complex_variable_exists([x, y], "elementwise_sub")
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(x_real, x_imag) = (x.real, x.imag) if is_complex(x) else (x, None)
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(y_real, y_imag) = (y.real, y.imag) if is_complex(y) else (y, None)
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real = layers.elementwise_sub(x_real, y_real, axis=axis, name=name)
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if is_real(x_imag) and is_real(y_imag):
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imag = layers.elementwise_sub(x_imag, y_imag, axis=axis, name=name)
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elif is_real(x_imag):
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imag = layers.assign(x_imag)
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else:
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imag = layers.elementwise_sub(
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layers.zeros_like(x_real), y_imag, axis=axis, name=name)
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return ComplexVariable(real, imag)
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def elementwise_mul(x, y, axis=-1, name=None):
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"""
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The element-wise multiplication layer for complex number inputs. At least
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one of inputs :attr:`x` and :attr:`y` must be a ComplexVariable. See the
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detailed description for the function and other arguments
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in :ref:`api_fluid_layers_elementwise_mul` .
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Args:
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x (Variable|ComplexVariable): The first input Variable or ComplexVariable
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with any number of dimensions. The supported data types include float32
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and float64 when it is a Variable. Otherwise the supported data types
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are complex64 or complex128.
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y (Variable|ComplexVariable): The second input Variable or ComplexVariable
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with any number of dimensions. The supported data types include float32
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and float64 when it is a Variable. Otherwise the supported data types
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are complex64 or complex128.
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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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a = np.array([[1.0+1.0j, 2.0+1.0j], [3.0+1.0j, 4.0+1.0j]])
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b = np.array([[5.0+2.0j, 6.0+2.0j], [7.0+2.0j, 8.0+2.0j]])
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with dg.guard():
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x = dg.to_variable(a)
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y = dg.to_variable(b)
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out = paddle.complex.elementwise_mul(x, y)
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print(out.numpy())
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# [[ 3. +7.j 10.+10.j]
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# [19.+13.j 30.+16.j]]
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"""
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complex_variable_exists([x, y], "elementwise_mul")
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# (a + bi)(c + di) = (ac - bd) + (bc + ad)i
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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.elementwise_mul(a, c, axis=axis, name=name)
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bd = layers.elementwise_mul(
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b, d, axis=axis, name=name) if is_real(b) and is_real(d) else None
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bc = layers.elementwise_mul(
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b, c, axis=axis, name=name) if is_real(b) else None
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ad = layers.elementwise_mul(
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a, d, axis=axis, name=name) if is_real(d) else None
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real = ac - bd if is_real(bd) else ac
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imag = bc + ad if is_real(bc) and is_real(ad) else bc if is_real(bc) else ad
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return ComplexVariable(real, imag)
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def elementwise_div(x, y, axis=-1, name=None):
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"""
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The element-wise division layer for complex number inputs. At least one of
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inputs :attr:`x` and :attr:`y` must be a ComplexVariable. See the detailed
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description for the function and other arguments
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in :ref:`api_fluid_layers_elementwise_div` .
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Args:
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x (Variable|ComplexVariable): The first input Variable or ComplexVariable
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with any number of dimensions. The supported data types include float32
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and float64 when it is a Variable. Otherwise the supported data types
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are complex64 or complex128.
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y (Variable|ComplexVariable): The second input Variable or ComplexVariable
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with any number of dimensions. The supported data types include float32
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and float64 when it is a Variable. Otherwise the supported data types
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are complex64 or complex128.
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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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a = np.array([[1.0+1.0j, 2.0+1.0j], [3.0+1.0j, 4.0+1.0j]])
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b = np.array([[5.0+2.0j, 6.0+2.0j], [7.0+2.0j, 8.0+2.0j]])
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with dg.guard():
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x = dg.to_variable(a)
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y = dg.to_variable(b)
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out = paddle.complex.elementwise_div(x, y)
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print(out.numpy())
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# [[0.24137931+0.10344828j 0.35 +0.05j ]
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# [0.43396226+0.01886792j 0.5 +0.j ]]
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"""
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complex_variable_exists([x, y], "elementwise_div")
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# (a + bi)/(c + di) = (a + bi)(c - di)/(c^2 + d^2)
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(c, d) = (y.real, y.imag) if is_complex(y) else (y, None)
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y_conj = ComplexVariable(c, -d) if is_real(d) else c
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e = 1 / (layers.pow(c, 2.0) + layers.pow(d, 2.0)
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) if is_real(d) else 1 / layers.pow(c, 2.0)
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return elementwise_mul(
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elementwise_mul(
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x, y_conj, axis=axis, name=name),
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e,
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axis=axis,
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name=name)
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