forked from huawei/mindspore2022
1358 lines
51 KiB
Python
1358 lines
51 KiB
Python
# Copyright 2020-2021 Huawei Technologies Co., Ltd
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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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# ============================================================================
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"""basic"""
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import math
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import numpy as np
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import mindspore.common.dtype as mstype
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from mindspore.ops.composite.multitype_ops import _constexpr_utils as const_utils
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from mindspore.common.seed import _get_graph_seed
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from mindspore.common.tensor import Tensor
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from mindspore.common.initializer import initializer
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from mindspore.ops import operations as P
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from mindspore.ops import functional as F
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from mindspore.ops.functional import identity
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from mindspore.ops.operations import _inner_ops as inner
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from mindspore.ops.primitive import constexpr, Primitive
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from mindspore.common.parameter import Parameter
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from mindspore._extends import cell_attr_register
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from mindspore._checkparam import Rel, Validator
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from ..cell import Cell
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from .activation import get_activation
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__all__ = ['Dropout', 'Flatten', 'Dense', 'ClipByNorm', 'Norm', 'OneHot', 'Pad', 'Unfold',
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'Tril', 'Triu', 'ResizeBilinear', 'MatrixDiag', 'MatrixDiagPart', 'MatrixSetDiag', 'L1Regularizer']
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class L1Regularizer(Cell):
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r"""
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Applies l1 regularization to weights.
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l1 regularization makes weights sparsity
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.. math::
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\text{loss}=\lambda * \text{reduce_sum}(\text{abs}(\omega))
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Note:
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scale(regularization factor) should be a number which greater than 0
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Args:
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scale (int, float): l1 regularization factor which greater than 0.
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Inputs:
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- **weights** (Tensor) - The input of L1Regularizer with data type of float16 or float32.
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The shape is :math:`(N,*)` where :math:`*` means, any number of additional dimensions.
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Outputs:
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Tensor, which dtype is higher precision data type between mindspore.float32 and weights dtype,
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and Tensor shape is ()
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Raises:
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TypeError: If `scale` is neither an int nor float.
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ValueError: If `scale` is not greater than 0.
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ValueError: If `scale` is math.inf or math.nan.
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Supported Platforms:
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``Ascend`` ``GPU`` ``CPU``
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Examples:
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>>> scale = 0.5
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>>> net = nn.L1Regularizer(scale)
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>>> weights = Tensor(np.array([[1.0, -2.0], [-3.0, 4.0]]).astype(np.float32))
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>>> output = net(weights)
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>>> print(output.asnumpy())
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5.0
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"""
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def __init__(self, scale):
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"""Initialize L1Regularizer."""
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super(L1Regularizer, self).__init__()
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Validator.check_value_type("scale", scale, [int, float], self.cls_name)
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if scale <= 0:
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raise ValueError("scale should be a number which greater than 0")
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if math.isinf(scale) or math.isnan(scale):
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raise ValueError("scale can not be INF or NAN")
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self.abs = P.Abs()
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self.reduce_sum = P.ReduceSum()
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self.scale = Tensor(scale, dtype=mstype.float32)
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def construct(self, weights):
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const_utils.check_type_valid(F.dtype(weights), mstype.number_type, 'weights')
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l1_regularization = self.scale * self.reduce_sum(self.abs(weights))
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return l1_regularization
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class Dropout(Cell):
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r"""
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Dropout layer for the input.
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Randomly set some elements of the input tensor to zero with probability :math:`1 - keep\_prob` during training
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using samples from a Bernoulli distribution.
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The outputs are scaled by a factor of :math:`\frac{1}{keep\_prob}` during training so
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that the output layer remains at a similar scale. During inference, this
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layer returns the same tensor as the `x`.
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This technique is proposed in paper `Dropout: A Simple Way to Prevent Neural Networks from Overfitting
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<http://www.cs.toronto.edu/~rsalakhu/papers/srivastava14a.pdf>`_ and proved to be effective to reduce
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over-fitting and prevents neurons from co-adaptation. See more details in `Improving neural networks by
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preventing co-adaptation of feature detectors
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<https://arxiv.org/pdf/1207.0580.pdf>`_.
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Note:
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Each channel will be zeroed out independently on every construct call.
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Args:
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keep_prob (float): The keep rate, greater than 0 and less equal than 1. E.g. rate=0.9,
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dropping out 10% of input units. Default: 0.5.
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dtype (:class:`mindspore.dtype`): Data type of `x`. Default: mindspore.float32.
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Inputs:
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- **x** (Tensor) - The input of Dropout with data type of float16 or float32.
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The shape is :math:`(N,*)` where :math:`*` means, any number of additional dimensions.
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Outputs:
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Tensor, output tensor with the same shape as the `x`.
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Raises:
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TypeError: If `keep_prob` is not a float.
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TypeError: If dtype of `x` is not neither float16 nor float32.
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ValueError: If `keep_prob` is not in range (0, 1].
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ValueError: If length of shape of `x` is less than 1.
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Supported Platforms:
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``Ascend`` ``GPU`` ``CPU``
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Examples:
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>>> x = Tensor(np.ones([2, 2, 3]), mindspore.float32)
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>>> net = nn.Dropout(keep_prob=0.8)
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>>> net.set_train()
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Dropout<keep_prob=0.8>
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>>> output = net(x)
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>>> print(output.shape)
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(2, 2, 3)
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"""
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def __init__(self, keep_prob=0.5, dtype=mstype.float32):
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"""Initialize Dropout."""
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super(Dropout, self).__init__()
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if keep_prob <= 0 or keep_prob > 1:
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raise ValueError("dropout probability should be a number in range (0, 1], but got {}".format(keep_prob))
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Validator.check_subclass("dtype", dtype, mstype.number_type, self.cls_name)
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Validator.check_value_type('keep_prob', keep_prob, [float], self.cls_name)
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self.keep_prob = keep_prob
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seed0, seed1 = _get_graph_seed(0, "dropout")
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self.seed0 = seed0
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self.seed1 = seed1
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self.dropout = P.Dropout(keep_prob, seed0, seed1)
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def construct(self, x):
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if not self.training:
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return x
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if self.keep_prob == 1:
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return x
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out, _ = self.dropout(x)
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return out
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def extend_repr(self):
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return 'keep_prob={}'.format(self.keep_prob)
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class Flatten(Cell):
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r"""
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Flatten layer for the input.
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Flattens a tensor without changing dimension of batch size on the 0-th axis.
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Inputs:
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- **x** (Tensor) - Tensor of shape :math:`(N, \ldots)` to be flattened. The data type is Number.
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The shape is :math:`(N,*)` where :math:`*` means, any number of additional dimensions
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and the shape can't be ().
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Outputs:
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Tensor, the shape of the output tensor is :math:`(N, X)`, where :math:`X` is
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the product of the remaining dimensions.
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Raises:
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TypeError: If `x` is not a subclass of Tensor.
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Supported Platforms:
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``Ascend`` ``GPU`` ``CPU``
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Examples:
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>>> x = Tensor(np.array([[[1.2, 1.2], [2.1, 2.1]], [[2.2, 2.2], [3.2, 3.2]]]), mindspore.float32)
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>>> net = nn.Flatten()
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>>> output = net(x)
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>>> print(output)
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[[1.2 1.2 2.1 2.1]
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[2.2 2.2 3.2 3.2]]
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>>> print(f"before flatten the x shape is {x.shape}")
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before flatten the x shape is (2, 2, 2)
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>>> print(f"after flatten the output shape is {output.shape}")
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after flatten the output shape is (2,4)
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"""
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def __init__(self):
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"""Initialize Flatten."""
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super(Flatten, self).__init__()
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def construct(self, x):
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return F.reshape(x, (F.shape(x)[0], -1))
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@constexpr
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def check_dense_input_shape(x):
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if len(x) < 2:
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raise ValueError('For Dense, the dimension of input should not be less than 2, while the input dimension is '
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+ f'{len(x)}.')
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class Dense(Cell):
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r"""
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The dense connected layer.
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Applies dense connected layer for the input. This layer implements the operation as:
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.. math::
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\text{outputs} = \text{activation}(\text{X} * \text{kernel} + \text{bias}),
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where :math:`X` is the input tensors, :math:`\text{activation}` is the activation function passed as the activation
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argument (if passed in), :math:`\text{kernel}` is a weight matrix with the same
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data type as the :math:`X` created by the layer, and :math:`\text{bias}` is a bias vector
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with the same data type as the :math:`X` created by the layer (only if has_bias is True).
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Args:
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in_channels (int): The number of channels in the input space.
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out_channels (int): The number of channels in the output space.
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weight_init (Union[Tensor, str, Initializer, numbers.Number]): The trainable weight_init parameter. The dtype
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is same as `x`. The values of str refer to the function `initializer`. Default: 'normal'.
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bias_init (Union[Tensor, str, Initializer, numbers.Number]): The trainable bias_init parameter. The dtype is
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same as `x`. The values of str refer to the function `initializer`. Default: 'zeros'.
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has_bias (bool): Specifies whether the layer uses a bias vector. Default: True.
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activation (Union[str, Cell, Primitive]): activate function applied to the output of the fully connected layer,
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eg. 'ReLU'.Default: None.
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Inputs:
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- **x** (Tensor) - Tensor of shape :math:`(*, in\_channels)`. The `in_channels` in `Args` should be equal
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to :math:`in\_channels` in `Inputs`
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Outputs:
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Tensor of shape :math:`(*, out\_channels)`.
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Raises:
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TypeError: If `in_channels` or `out_channels` is not an int.
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TypeError: If `has_bias` is not a bool.
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TypeError: If `activation` is not one of str, Cell, Primitive, None.
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ValueError: If length of shape of `weight_init` is not equal to 2 or shape[0] of `weight_init`
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is not equal to `out_channels` or shape[1] of `weight_init` is not equal to `in_channels`.
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ValueError: If length of shape of `bias_init` is not equal to 1
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or shape[0] of `bias_init` is not equal to `out_channels`.
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Supported Platforms:
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``Ascend`` ``GPU`` ``CPU``
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Examples:
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>>> x = Tensor(np.array([[180, 234, 154], [244, 48, 247]]), mindspore.float32)
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>>> net = nn.Dense(3, 4)
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>>> output = net(x)
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>>> print(output.shape)
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(2, 4)
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"""
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@cell_attr_register(attrs=['has_bias', 'activation'])
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def __init__(self,
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in_channels,
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out_channels,
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weight_init='normal',
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bias_init='zeros',
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has_bias=True,
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activation=None):
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"""Initialize Dense."""
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super(Dense, self).__init__()
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self.in_channels = Validator.check_positive_int(in_channels)
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self.out_channels = Validator.check_positive_int(out_channels)
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self.has_bias = Validator.check_bool(has_bias)
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self.reshape = P.Reshape()
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self.shape_op = P.Shape()
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if isinstance(weight_init, Tensor):
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if weight_init.ndim != 2 or weight_init.shape[0] != out_channels or \
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weight_init.shape[1] != in_channels:
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raise ValueError("Weight init shape error.")
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self.weight = Parameter(initializer(weight_init, [out_channels, in_channels]), name="weight")
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self.bias = None
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if self.has_bias:
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if isinstance(bias_init, Tensor):
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if bias_init.ndim != 1 or bias_init.shape[0] != out_channels:
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raise ValueError("Bias init shape error.")
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self.bias = Parameter(initializer(bias_init, [out_channels]), name="bias")
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self.bias_add = P.BiasAdd()
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self.matmul = P.MatMul(transpose_b=True)
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self.activation = get_activation(activation) if isinstance(activation, str) else activation
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if activation is not None and not isinstance(self.activation, (Cell, Primitive)):
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raise TypeError("The activation must be str or Cell or Primitive,"" but got {}.".format(activation))
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self.activation_flag = self.activation is not None
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def construct(self, x):
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x_shape = self.shape_op(x)
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check_dense_input_shape(x_shape)
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if len(x_shape) != 2:
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x = self.reshape(x, (-1, x_shape[-1]))
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x = self.matmul(x, self.weight)
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if self.has_bias:
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x = self.bias_add(x, self.bias)
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if self.activation_flag:
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x = self.activation(x)
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if len(x_shape) != 2:
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out_shape = x_shape[:-1] + (-1,)
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x = self.reshape(x, out_shape)
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return x
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def extend_repr(self):
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s = 'input_channels={}, output_channels={}'.format(self.in_channels, self.out_channels)
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if self.has_bias:
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s += ', has_bias={}'.format(self.has_bias)
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if self.activation_flag:
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s += ', activation={}'.format(self.activation)
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return s
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@constexpr
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def _is_equal_one(x):
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if x is None:
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return False
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return bool(x.asnumpy().mean() == 1.0)
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@constexpr
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def _dtype_check(x_dtype):
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if x_dtype not in [mstype.float32, mstype.float16]:
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raise TypeError("The input type must be float32 or float16.")
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@constexpr
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def _is_float_dtype(dtype):
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if dtype in [mstype.float32, mstype.float16]:
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return True
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return False
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@constexpr
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def _need_reduce_all(axis):
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if axis == ():
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return True
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return False
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class ClipByNorm(Cell):
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r"""
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Clips tensor values to a maximum :math:`L_2`-norm.
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The output of this layer remains the same if the :math:`L_2`-norm of the input tensor
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is not greater than the argument clip_norm. Otherwise the tensor will be normalized as:
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.. math::
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\text{output}(X) = \frac{\text{clip_norm} * X}{L_2(X)},
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where :math:`L_2(X)` is the :math:`L_2`-norm of :math:`X`.
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Args:
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axis (Union[None, int, tuple(int)]): Compute the L2-norm along the Specific dimension.
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Default: None, all dimensions to calculate.
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Inputs:
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- **x** (Tensor) - Tensor of shape N-D. The type must be float32 or float16.
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- **clip_norm** (Tensor) - A scalar Tensor of shape :math:`()` or :math:`(1)`.
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Or a tensor shape can be broadcast to input shape.
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Outputs:
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Tensor, clipped tensor with the same shape as the `x`, whose type is float32.
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Raises:
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TypeError: If `axis` is not one of None, int, tuple.
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TypeError: If dtype of `x` is neither float32 nor float16.
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Supported Platforms:
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``Ascend`` ``GPU`` ``CPU``
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Examples:
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>>> net = nn.ClipByNorm()
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>>> x = Tensor(np.random.randint(0, 10, [4, 16]), mindspore.float32)
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>>> clip_norm = Tensor(np.array([100]).astype(np.float32))
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>>> output = net(x, clip_norm)
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>>> print(output.shape)
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(4, 16)
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"""
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def __init__(self, axis=None):
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"""Initialize ClipByNorm."""
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super(ClipByNorm, self).__init__()
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if axis is None:
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axis = ()
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if isinstance(axis, tuple):
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for idx, item in enumerate(axis):
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Validator.check_value_type("axis[%d]" % idx, item, [int], self.cls_name)
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self.axis = Validator.check_value_type('axis', axis, [int, tuple], self.cls_name)
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self.reduce_sum = P.ReduceSum(keep_dims=True)
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self.select_ = P.Select()
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self.greater_ = P.Greater()
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self.cast = P.Cast()
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self.sqrt = P.Sqrt()
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self.max_op = P.Maximum()
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self.shape = P.Shape()
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self.reshape = P.Reshape()
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self.fill = P.Fill()
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self.expand_dims = P.ExpandDims()
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self.dtype = P.DType()
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def construct(self, x, clip_norm):
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mul_x = F.square(x)
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l2sum = self.cast(self.reduce_sum(mul_x, self.axis), mstype.float32)
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cond = self.greater_(l2sum, 0)
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ones_ = self.fill(self.dtype(cond), self.shape(cond), 1.0)
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l2sum_safe = self.select_(cond, l2sum, self.cast(ones_, self.dtype(l2sum)))
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l2norm = self.select_(cond, self.sqrt(l2sum_safe), l2sum)
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_dtype_check(self.dtype(x))
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if _is_equal_one(clip_norm):
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intermediate = x
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else:
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intermediate = x * clip_norm
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max_norm = self.max_op(l2norm, clip_norm)
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if _need_reduce_all(self.axis):
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max_norm = self.expand_dims(max_norm, -1)
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values_clip = self.cast(intermediate, mstype.float32) / max_norm
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values_clip = self.reshape(values_clip, self.shape(x))
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values_clip = identity(values_clip)
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return values_clip
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class Norm(Cell):
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r"""
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Computes the norm of vectors, currently including Euclidean norm, i.e., :math:`L_2`-norm.
|
||
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.. math::
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norm(x) = \sqrt{\sum_{i=1}^{n} (x_i^2)}
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Args:
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axis (Union[tuple, int]): The axis over which to compute vector norms. Default: ().
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keep_dims (bool): If true, the axis indicated in `axis` are kept with size 1. Otherwise,
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the dimensions in `axis` are removed from the output shape. Default: False.
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|
||
Inputs:
|
||
- **x** (Tensor) - Tensor which is not empty. The data type should be float16 or float32.
|
||
:math:`(N,*)` where :math:`*` means, any number of additional dimensions.
|
||
|
||
Outputs:
|
||
Tensor, output tensor with dimensions in 'axis' reduced to 1 will be returned if 'keep_dims' is True;
|
||
otherwise a Tensor with dimensions in 'axis' removed is returned. The data type is the same with `x`
|
||
|
||
Raises:
|
||
TypeError: If `axis` is neither an int nor tuple.
|
||
TypeError: If `keep_dims` is not a bool.
|
||
|
||
Supported Platforms:
|
||
``Ascend`` ``GPU`` ``CPU``
|
||
|
||
Examples:
|
||
>>> net = nn.Norm(axis=0)
|
||
>>> x = Tensor(np.array([[4, 4, 9, 1], [2, 1, 3, 6]]), mindspore.float32)
|
||
>>> print(x.shape)
|
||
(2, 4)
|
||
>>> output = net(x)
|
||
>>> print(output)
|
||
[4.472136 4.1231055 9.486833 6.0827627]
|
||
>>> print(output.shape)
|
||
(4,)
|
||
>>> net = nn.Norm(axis=0, keep_dims=True)
|
||
>>> x = Tensor(np.array([[4, 4, 9, 1], [2, 1, 3, 6]]), mindspore.float32)
|
||
>>> print(x.shape)
|
||
(2, 4)
|
||
>>> output = net(x)
|
||
>>> print(output)
|
||
[4.472136 4.1231055 9.486833 6.0827627]
|
||
>>> print(output.shape)
|
||
(1, 4)
|
||
>>> net = nn.Norm(axis=1)
|
||
>>> x = Tensor(np.array([[4, 4, 9, 1], [2, 1, 3, 6]]), mindspore.float32)
|
||
>>> print(x.shape)
|
||
(2, 4)
|
||
>>> output = net(x)
|
||
>>> print(output)
|
||
[10.677078 7.071068]
|
||
>>> print(output.shape)
|
||
(2,)
|
||
"""
|
||
|
||
def __init__(self, axis=(), keep_dims=False):
|
||
"""Initialize Norm."""
|
||
super(Norm, self).__init__()
|
||
Validator.check_value_type("keep_dims", keep_dims, [bool], self.cls_name)
|
||
self.axis = axis
|
||
self.keep_dims = keep_dims
|
||
self.reduce_sum = P.ReduceSum(True)
|
||
self.sqrt = P.Sqrt()
|
||
self.squeeze = P.Squeeze(self.axis)
|
||
|
||
def construct(self, x):
|
||
x = self.sqrt(self.reduce_sum(F.square(x), self.axis))
|
||
|
||
if not self.keep_dims:
|
||
x = self.squeeze(x)
|
||
return x
|
||
|
||
def extend_repr(self):
|
||
return 'axis={}, keep_dims={}'.format(self.axis, self.keep_dims)
|
||
|
||
|
||
class OneHot(Cell):
|
||
"""
|
||
Returns a one-hot tensor.
|
||
|
||
The locations represented by indices in argument `indices` take value on_value,
|
||
while all other locations take value off_value.
|
||
|
||
Note:
|
||
If the input indices is rank :math:`N`, the output will have rank :math:`N+1`. The new
|
||
axis is created at dimension `axis`.
|
||
|
||
If `indices` is a scalar, the output shape will be a vector of length `depth`.
|
||
|
||
If `indices` is a vector of length `features`, the output shape will be:
|
||
|
||
.. code-block::
|
||
|
||
features * depth if axis == -1
|
||
|
||
depth * features if axis == 0
|
||
|
||
If `indices` is a matrix with shape `[batch, features]`, the output shape will be:
|
||
|
||
.. code-block::
|
||
|
||
batch * features * depth if axis == -1
|
||
|
||
batch * depth * features if axis == 1
|
||
|
||
depth * batch * features if axis == 0
|
||
|
||
Args:
|
||
axis (int): Features x depth if axis is -1, depth x features
|
||
if axis is 0. Default: -1.
|
||
depth (int): A scalar defining the depth of the one hot dimension. Default: 1.
|
||
on_value (float): A scalar defining the value to fill in output[i][j]
|
||
when indices[j] = i. Default: 1.0.
|
||
off_value (float): A scalar defining the value to fill in output[i][j]
|
||
when indices[j] != i. Default: 0.0.
|
||
dtype (:class:`mindspore.dtype`): Data type of 'on_value' and 'off_value', not the
|
||
data type of indices. Default: mindspore.float32.
|
||
|
||
Inputs:
|
||
- **indices** (Tensor) - A tensor of indices with data type of int32 or int64.
|
||
The shape is :math:`(N,*)` where :math:`*` means, any number of additional dimensions.
|
||
|
||
Outputs:
|
||
Tensor, the one-hot tensor of data type `dtype` with dimension at `axis` expanded to `depth` and filled with
|
||
on_value and off_value. The dimension of the `Outputs` is equal to the dimension of the `indices` plus one.
|
||
|
||
Raises:
|
||
TypeError: If `axis` or `depth` is not an int.
|
||
TypeError: If dtype of `indices` is neither int32 nor int64.
|
||
ValueError: If `axis` is not in range [-1, len(indices_shape)].
|
||
ValueError: If `depth` is less than 0.
|
||
|
||
Supported Platforms:
|
||
``Ascend`` ``GPU`` ``CPU``
|
||
|
||
Examples:
|
||
>>> # 1st sample: add new coordinates at axis 1
|
||
>>> net = nn.OneHot(depth=4, axis=1)
|
||
>>> indices = Tensor([[1, 3], [0, 2]], dtype=mindspore.int32)
|
||
>>> output = net(indices)
|
||
>>> print(output)
|
||
[[[0. 0.]
|
||
[1. 0.]
|
||
[0. 0.]
|
||
[0. 1.]]
|
||
[[1. 0.]
|
||
[0. 0.]
|
||
[0. 1.]
|
||
[0. 0.]]]
|
||
>>> # The results are shown below:
|
||
>>> print(output.shape)
|
||
(2, 4, 2)
|
||
>>> # 2nd sample: add new coordinates at axis 0
|
||
>>> net = nn.OneHot(depth=4, axis=0)
|
||
>>> indices = Tensor([[1, 3], [0, 2]], dtype=mindspore.int32)
|
||
>>> output = net(indices)
|
||
>>> print(output)
|
||
[[[0. 0.]
|
||
[1. 0.]]
|
||
[[1. 0.]
|
||
[0. 0.]]
|
||
[[0. 0.]
|
||
[0. 1.]]
|
||
[[0. 1.]
|
||
[0. 0.]]]
|
||
>>> # The results are shown below:
|
||
>>> print(output.shape)
|
||
(4, 2, 2)
|
||
>>> # 3rd sample: add new coordinates at the last dimension.
|
||
>>> net = nn.OneHot(depth=4, axis=-1)
|
||
>>> indices = Tensor([[1, 3], [0, 2]], dtype=mindspore.int32)
|
||
>>> output = net(indices)
|
||
>>> # The results are shown below:
|
||
>>> print(output)
|
||
[[[0. 1. 0. 0.]
|
||
[0. 0. 0. 1.]]
|
||
[[1. 0. 0. 0.]
|
||
[0. 0. 1. 0.]]]
|
||
>>> print(output.shape)
|
||
(2, 2, 4)
|
||
>>> indices = Tensor([1, 3, 0, 2], dtype=mindspore.int32)
|
||
>>> output = net(indices)
|
||
>>> print(output)
|
||
[[0. 1. 0. 0.]
|
||
[0. 0. 0. 1.]
|
||
[1. 0. 0. 0.]
|
||
[0. 0. 1. 0.]]
|
||
>>> print(output.shape)
|
||
(4, 4)
|
||
"""
|
||
|
||
def __init__(self, axis=-1, depth=1, on_value=1.0, off_value=0.0, dtype=mstype.float32):
|
||
"""Initialize OneHot."""
|
||
super(OneHot, self).__init__()
|
||
self.onehot = P.OneHot(axis)
|
||
self.depth = depth
|
||
self.dtype = dtype
|
||
self.on_value = on_value
|
||
self.off_value = off_value
|
||
|
||
def construct(self, indices):
|
||
return self.onehot(indices, self.depth, F.cast(self.on_value, self.dtype), F.cast(self.off_value, self.dtype))
|
||
|
||
|
||
class Pad(Cell):
|
||
r"""
|
||
Pads the input tensor according to the paddings and mode.
|
||
|
||
Args:
|
||
paddings (tuple): The shape of parameter `paddings` is (N, 2). N is the rank of input data. All elements of
|
||
paddings are int type. For `D` th dimension of the `x`, paddings[D, 0] indicates how many sizes to be
|
||
extended ahead of the `D` th dimension of the input tensor, and paddings[D, 1] indicates how many sizes to
|
||
be extended behind of the `D` th dimension of the input tensor. The padded size of each dimension D of the
|
||
output is: :math:`paddings[D, 0] + input\_x.dim\_size(D) + paddings[D, 1]`
|
||
eg:
|
||
|
||
- mode = "CONSTANT".
|
||
- paddings = [[1,1], [2,2]].
|
||
- x = [[1,2,3], [4,5,6], [7,8,9]].
|
||
- The above can be seen: 1st dimension of `x` is 3, 2nd dimension of `x` is 3.
|
||
- Substitute into the formula to get:
|
||
- 1st dimension of output is paddings[0][0] + 3 + paddings[0][1] = 1 + 3 + 1 = 4.
|
||
- 2nd dimension of output is paddings[1][0] + 3 + paddings[1][1] = 2 + 3 + 2 = 7.
|
||
- so output.shape is (4, 7)
|
||
|
||
mode (str): Specifies padding mode. The optional values are "CONSTANT", "REFLECT", "SYMMETRIC".
|
||
Default: "CONSTANT".
|
||
|
||
Inputs:
|
||
- **x** (Tensor) - The input tensor.
|
||
|
||
Outputs:
|
||
Tensor, the tensor after padding.
|
||
|
||
- If `mode` is "CONSTANT", it fills the edge with 0, regardless of the values of the `x`.
|
||
If the `x` is [[1,2,3], [4,5,6], [7,8,9]] and `paddings` is [[1,1], [2,2]], then the
|
||
Outputs is [[0,0,0,0,0,0,0], [0,0,1,2,3,0,0], [0,0,4,5,6,0,0], [0,0,7,8,9,0,0], [0,0,0,0,0,0,0]].
|
||
- If `mode` is "REFLECT", it uses a way of symmetrical copying through the axis of symmetry to fill in.
|
||
If the `x` is [[1,2,3], [4,5,6], [7,8,9]] and `paddings` is [[1,1], [2,2]], then the
|
||
Outputs is [[6,5,4,5,6,5,4], [3,2,1,2,3,2,1], [6,5,4,5,6,5,4], [9,8,7,8,9,8,7], [6,5,4,5,6,5,4]].
|
||
- If `mode` is "SYMMETRIC", the filling method is similar to the "REFLECT". It is also copied
|
||
according to the symmetry axis, except that it includes the symmetry axis. If the `x`
|
||
is [[1,2,3], [4,5,6], [7,8,9]] and `paddings` is [[1,1], [2,2]], then the Outputs is
|
||
[[2,1,1,2,3,3,2], [2,1,1,2,3,3,2], [5,4,4,5,6,6,5], [8,7,7,8,9,9,8], [8,7,7,8,9,9,8]].
|
||
|
||
Raises:
|
||
TypeError: If `paddings` is not a tuple.
|
||
ValueError: If length of `paddings` is more than 4 or its shape is not (n, 2).
|
||
ValueError: If `mode` is not one of 'CONSTANT', 'REFLECT', 'SYMMETRIC'.
|
||
|
||
Supported Platforms:
|
||
``Ascend`` ``GPU`` ``CPU``
|
||
|
||
Examples:
|
||
>>> from mindspore import Tensor
|
||
>>> import mindspore.nn as nn
|
||
>>> import numpy as np
|
||
>>> # If `mode` is "CONSTANT"
|
||
>>> class Net(nn.Cell):
|
||
... def __init__(self):
|
||
... super(Net, self).__init__()
|
||
... self.pad = nn.Pad(paddings=((1, 1), (2, 2)), mode="CONSTANT")
|
||
... def construct(self, x):
|
||
... return self.pad(x)
|
||
>>> x = Tensor(np.array([[1, 2, 3], [4, 5, 6]]), mindspore.float32)
|
||
>>> pad = Net()
|
||
>>> output = pad(x)
|
||
>>> print(output)
|
||
[[0. 0. 0. 0. 0. 0. 0.]
|
||
[0. 0. 1. 2. 3. 0. 0.]
|
||
[0. 0. 4. 5. 6. 0. 0.]
|
||
[0. 0. 0. 0. 0. 0. 0.]]
|
||
>>> # Another way to call
|
||
>>> pad = ops.Pad(paddings=((1, 1), (2, 2)))
|
||
>>> # From the above code, we can see following:
|
||
>>> # "paddings=((1, 1), (2, 2))",
|
||
>>> # paddings[0][0] = 1, indicates a row of values is filled top of the input data in the 1st dimension.
|
||
>>> # Shown as follows:
|
||
>>> # [[0. 0. 0.]
|
||
>>> # [1. 2. 3.]
|
||
>>> # [4. 5. 6.]]
|
||
>>> # paddings[0][1] = 1 indicates a row of values is filled below input data in the 1st dimension.
|
||
>>> # Shown as follows:
|
||
>>> # [[0. 0. 0.]
|
||
>>> # [1. 2. 3.]
|
||
>>> # [4. 5. 6.]
|
||
>>> # [0. 0. 0.]]
|
||
>>> # paddings[1][0] = 2, indicates 2 rows of values is filled in front of input data in the 2nd dimension.
|
||
>>> # Shown as follows:
|
||
>>> # [[0. 0. 0. 0. 0.]
|
||
>>> # [0. 0. 1. 2. 3.]
|
||
>>> # [0. 0. 4. 5. 6.]
|
||
>>> # [0. 0. 0. 0. 0.]]
|
||
>>> # paddings[1][1] = 2, indicates 2 rows of values is filled in front of input data in the 2nd dimension.
|
||
>>> # Shown as follows:
|
||
>>> # [[0. 0. 0. 0. 0. 0. 0.]
|
||
>>> # [0. 0. 1. 2. 3. 0. 0.]
|
||
>>> # [0. 0. 4. 5. 6. 0. 0.]
|
||
>>> # [0. 0. 0. 0. 0. 0. 0.]]
|
||
>>> output = pad(x)
|
||
>>> print(output)
|
||
[[0. 0. 0. 0. 0. 0. 0.]
|
||
[0. 0. 1. 2. 3. 0. 0.]
|
||
[0. 0. 4. 5. 6. 0. 0.]
|
||
[0. 0. 0. 0. 0. 0. 0.]]
|
||
>>> # if mode is "REFLECT"
|
||
>>> class Net(nn.Cell):
|
||
... def __init__(self):
|
||
... super(Net, self).__init__()
|
||
... self.pad = nn.Pad(paddings=((1, 1), (2, 2)), mode="REFLECT")
|
||
... def construct(self, x):
|
||
... return self.pad(x)
|
||
>>> x = Tensor(np.array([[1, 2, 3], [4, 5, 6]]), mindsprore.float32)
|
||
>>> pad = Net()
|
||
>>> output = pad(x)
|
||
>>> print(output)
|
||
[[6. 5. 4. 5. 6. 5. 4.]
|
||
[3. 2. 1. 2. 3. 2. 1.]
|
||
[6. 5. 4. 5. 6. 5. 4.]
|
||
[3. 2. 1. 2. 3. 2. 1.]]
|
||
>>> # if mode is "SYMMETRIC"
|
||
>>> class Net(nn.Cell):
|
||
... def __init__(self):
|
||
... super(Net, self).__init__()
|
||
... self.pad = nn.Pad(paddings=((1, 1), (2, 2)), mode="SYMMETRIC")
|
||
... def construct(self, x):
|
||
... return self.pad(x)
|
||
>>> x = Tensor(np.array([[1, 2, 3], [4, 5, 6]]), mindsprore.float32)
|
||
>>> pad = Net()
|
||
>>> output = pad(x)
|
||
>>> print(output)
|
||
[[2. 1. 1. 2. 3. 3. 2.]
|
||
[2. 1. 1. 2. 3. 3. 2.]
|
||
[5. 4. 4. 5. 6. 6. 5.]
|
||
[5. 4. 4. 5. 6. 6. 5.]]
|
||
"""
|
||
|
||
def __init__(self, paddings, mode="CONSTANT"):
|
||
"""Initialize Pad."""
|
||
super(Pad, self).__init__()
|
||
self.mode = mode
|
||
self.paddings = paddings
|
||
Validator.check_string(self.mode, ["CONSTANT", "REFLECT", "SYMMETRIC"], 'mode', self.cls_name)
|
||
if not isinstance(paddings, tuple):
|
||
raise TypeError('Paddings must be tuple type.')
|
||
for item in paddings:
|
||
if len(item) != 2:
|
||
raise ValueError('The shape of paddings must be (n, 2).')
|
||
if len(paddings) > 4:
|
||
raise ValueError('Only padding up to 4 dims is supported')
|
||
if mode == "CONSTANT":
|
||
self.pad = P.Pad(self.paddings)
|
||
else:
|
||
self.paddings = Tensor(np.array(self.paddings))
|
||
self.pad = P.MirrorPad(mode=mode)
|
||
|
||
def construct(self, x):
|
||
if self.mode == "CONSTANT":
|
||
x = self.pad(x)
|
||
else:
|
||
x = self.pad(x, self.paddings)
|
||
return x
|
||
|
||
|
||
@constexpr
|
||
def bilinear(shape, size, scale, align_corners):
|
||
"""Check input and calculate shape"""
|
||
if not isinstance(align_corners, bool):
|
||
raise TypeError("align_corners should be type boolean")
|
||
if size is None and scale is None:
|
||
raise ValueError("size and scale both none")
|
||
if size is not None and scale is not None:
|
||
raise ValueError("size and scale both not none")
|
||
if size is not None:
|
||
if not isinstance(size, (tuple, list)):
|
||
raise ValueError("size must be tuple or list")
|
||
Validator.check_int(len(size), 2, Rel.EQ, "size", "bilinear")
|
||
Validator.check_int(size[0], 1, Rel.GE, "size[0]", "bilinear")
|
||
Validator.check_int(size[1], 1, Rel.GE, "size[1]", "bilinear")
|
||
return size
|
||
Validator.check_int(scale, 1, Rel.GE, "scale factor", "bilinear")
|
||
ret = (scale * shape[2], scale * shape[3])
|
||
return ret
|
||
|
||
|
||
class ResizeBilinear(Cell):
|
||
r"""
|
||
Samples the input tensor to the given size or scale_factor by using bilinear interpolate.
|
||
|
||
Inputs:
|
||
- **x** (Tensor) - Tensor to be resized. Input tensor must be a 4-D tensor with shape:
|
||
math:`(batch, channels, height, width)`, with data type of float16 or float32.
|
||
- **size** (Union[tuple[int], list[int]]): A tuple or list of 2 int elements '(new_height, new_width)',
|
||
the new size of the tensor. One and only one of size and scale_factor can be set to None. Default: None.
|
||
- **scale_factor** (int): The scale factor of new size of the tensor. The value should be positive integer.
|
||
One and only one of size and scale_factor can be set to None. Default: None.
|
||
- **align_corners** (bool): If true, rescale input by '(new_height - 1) / (height - 1)', which exactly aligns
|
||
the 4 corners of images and resized images. If false, rescale by 'new_height / height'. Default: False.
|
||
|
||
Outputs:
|
||
Resized tensor.
|
||
If size is set, the result is 4-D tensor with shape:math:`(batch, channels, new_height, new_width)`
|
||
in float32.
|
||
If scale is set, the result is 4-D tensor with shape:math:`(batch, channels, scale_factor * height,
|
||
scale_factor * width)` in float32
|
||
|
||
Raises:
|
||
TypeError: If `size` is not one of tuple, list, None.
|
||
TypeError: If `scale_factor` is neither int nor None.
|
||
TypeError: If `align_corners` is not a bool.
|
||
TypeError: If dtype of `x` is neither float16 nor float32.
|
||
ValueError: If `size` and `scale_factor` are both None or not None.
|
||
ValueError: If length of shape of `x` is not equal to 4.
|
||
ValueError: If `scale_factor` is an int which is less than 1.
|
||
ValueError: If `size` is a list or tuple whose length is not equal to 2.
|
||
|
||
Supported Platforms:
|
||
``Ascend`` ``CPU``
|
||
|
||
Examples:
|
||
>>> x = Tensor([[[[1, 2, 3, 4], [5, 6, 7, 8]]]], mindspore.float32)
|
||
>>> resize_bilinear = nn.ResizeBilinear()
|
||
>>> result = resize_bilinear(x, size=(5,5))
|
||
>>> print(x)
|
||
[[[[1. 2. 3. 4.]
|
||
[5. 6. 7. 8.]]]]
|
||
>>> print(result)
|
||
[[[[1. 1.8. 2.6 3.4 4. ]
|
||
[2.6 3.4 4.2000003 5. 5.6000004]
|
||
[4.2 5.0000005 5.8 6.6 7.2 ]
|
||
[5. 5.8 6.6 7.4 8. ]
|
||
[5. 5.8 6.6 7.4000006 8. ]]]]
|
||
>>> print(result.shape)
|
||
(1, 1, 5, 5)
|
||
"""
|
||
|
||
def __init__(self):
|
||
"""Initialize ResizeBilinear."""
|
||
super(ResizeBilinear, self).__init__()
|
||
|
||
def construct(self, x, size=None, scale_factor=None, align_corners=False):
|
||
shape = bilinear(x.shape, size, scale_factor, align_corners)
|
||
resize_bilinear = P.ResizeBilinear(shape, align_corners)
|
||
return resize_bilinear(x)
|
||
|
||
|
||
class Unfold(Cell):
|
||
r"""
|
||
Extracts patches from images.
|
||
The input tensor must be a 4-D tensor and the data format is NCHW.
|
||
|
||
Args:
|
||
ksizes (Union[tuple[int], list[int]]): The size of sliding window, must be a tuple or a list of integers,
|
||
and the format is [1, ksize_row, ksize_col, 1].
|
||
strides (Union[tuple[int], list[int]]): Distance between the centers of the two consecutive patches,
|
||
must be a tuple or list of int, and the format is [1, stride_row, stride_col, 1].
|
||
rates (Union[tuple[int], list[int]]): In each extracted patch, the gap between the corresponding dimension
|
||
pixel positions, must be a tuple or a list of integers, and the format is [1, rate_row, rate_col, 1].
|
||
padding (str): The type of padding algorithm, is a string whose value is "same" or "valid", not case sensitive.
|
||
Default: "valid".
|
||
|
||
- same: Means that the patch can take the part beyond the original image, and this part is filled with 0.
|
||
|
||
- valid: Means that the taken patch area must be completely covered in the original image.
|
||
|
||
Inputs:
|
||
- **x** (Tensor) - A 4-D tensor whose shape is [in_batch, in_depth, in_row, in_col] and
|
||
data type is number.
|
||
|
||
Outputs:
|
||
Tensor, a 4-D tensor whose data type is same as `x`,
|
||
and the shape is [out_batch, out_depth, out_row, out_col] where `out_batch` is the same as the `in_batch`.
|
||
|
||
:math:`out\_depth = ksize\_row * ksize\_col * in\_depth`
|
||
|
||
:math:`out\_row = (in\_row - (ksize\_row + (ksize\_row - 1) * (rate\_row - 1))) // stride\_row + 1`
|
||
|
||
:math:`out\_col = (in\_col - (ksize\_col + (ksize\_col - 1) * (rate\_col - 1))) // stride\_col + 1`
|
||
|
||
Raises:
|
||
TypeError: If `ksizes`, `strides` or `rates` is neither a tuple nor list.
|
||
ValueError: If shape of `ksizes`, `strides` or `rates` is not (1, x_row, x_col, 1).
|
||
ValueError: If the second and third element of `ksizes`, `strides` or `rates` is less than 1.
|
||
|
||
Supported Platforms:
|
||
``Ascend``
|
||
|
||
Examples:
|
||
>>> net = Unfold(ksizes=[1, 2, 2, 1], strides=[1, 2, 2, 1], rates=[1, 2, 2, 1])
|
||
>>> # As stated in the above code:
|
||
>>> # ksize_row = 2, ksize_col = 2, rate_row = 2, rate_col = 2, stride_row = 2, stride_col = 2.
|
||
>>> image = Tensor(np.ones([2, 3, 6, 6]), dtype=mstype.float16)
|
||
>>> # in_batch = 2, in_depth = 3, in_row = 6, in_col = 6.
|
||
>>> # Substituting the formula to get:
|
||
>>> # out_batch = in_batch = 2
|
||
>>> # out_depth = 2 * 2 * 3 = 12
|
||
>>> # out_row = (6 - (2 + (2 - 1) * (2 - 1))) // 2 + 1 = 2
|
||
>>> # out_col = (6 - (2 + (2 - 1) * (2 - 1))) // 2 + 1 = 2
|
||
>>> output = net(image)
|
||
>>> print(output.shape)
|
||
(2, 12, 2, 2)
|
||
"""
|
||
|
||
def __init__(self, ksizes, strides, rates, padding="valid"):
|
||
"""Initialize Unfold."""
|
||
super(Unfold, self).__init__()
|
||
|
||
def _check_tuple_or_list(arg_name, arg_val, prim_name):
|
||
Validator.check_value_type(f"{arg_name}s", ksizes, [tuple, list], self.cls_name)
|
||
if len(arg_val) != 4 or arg_val[0] != 1 or arg_val[3] != 1:
|
||
raise ValueError(f"For \'{prim_name}\' the format of {arg_name}s should be [1, {arg_name}_row, "
|
||
f"{arg_name}_col, 1], but got {arg_val}.")
|
||
if not isinstance(arg_val[1], int) or not isinstance(arg_val[2], int) or arg_val[1] < 1 or arg_val[2] < 1:
|
||
raise ValueError(f"For '{prim_name}' the {arg_name}_row and {arg_name}_col in {arg_name}s should be "
|
||
f"an positive integer number, but got {arg_name}_row is {arg_val[1]}, "
|
||
f"{arg_name}_col is {arg_val[2]}")
|
||
|
||
_check_tuple_or_list("ksize", ksizes, self.cls_name)
|
||
_check_tuple_or_list("stride", strides, self.cls_name)
|
||
_check_tuple_or_list("rate", rates, self.cls_name)
|
||
ksizes = ksizes[0], ksizes[3], ksizes[1], ksizes[2]
|
||
strides = strides[0], strides[3], strides[1], strides[2]
|
||
rates = rates[0], rates[3], rates[1], rates[2]
|
||
self.extract_image_patches = inner.ExtractImagePatches(ksizes, strides, rates, padding)
|
||
|
||
def construct(self, input_x):
|
||
result = self.extract_image_patches(input_x)
|
||
return result
|
||
|
||
|
||
@constexpr
|
||
def tril(x_shape, x_dtype, k):
|
||
Validator.check_int(len(x_shape), 1, Rel.GE, "x rank", "tril")
|
||
Validator.check_is_int(k, "k value", "tril")
|
||
mask = np.tril(np.ones(x_shape), k)
|
||
return Tensor(mask, x_dtype)
|
||
|
||
|
||
class Tril(Cell):
|
||
"""
|
||
Returns a tensor with elements above the kth diagonal zeroed.
|
||
|
||
Inputs:
|
||
- **x** (Tensor) - The input tensor. The data type is Number.
|
||
:math:`(N,*)` where :math:`*` means, any number of additional dimensions.
|
||
- **k** (Int) - The index of diagonal. Default: 0
|
||
|
||
Outputs:
|
||
Tensor, has the same shape and type as input `x`.
|
||
|
||
Raises:
|
||
TypeError: If `k` is not an int.
|
||
ValueError: If length of shape of `x` is less than 1.
|
||
|
||
Supported Platforms:
|
||
``Ascend`` ``GPU`` ``CPU``
|
||
|
||
Examples:
|
||
>>> x = Tensor(np.array([[ 1, 2, 3, 4],
|
||
>>> [ 5, 6, 7, 8],
|
||
>>> [10, 11, 12, 13],
|
||
>>> [14, 15, 16, 17]]))
|
||
>>> tril = nn.Tril()
|
||
>>> result = tril(x)
|
||
>>> print(result)
|
||
[[ 1, 0, 0, 0],
|
||
[ 5, 6, 0, 0],
|
||
[10, 11, 12, 0],
|
||
[14, 15, 16, 17]]))
|
||
>>> x = Tensor(np.array([[ 1, 2, 3, 4],
|
||
>>> [ 5, 6, 7, 8],
|
||
>>> [10, 11, 12, 13],
|
||
>>> [14, 15, 16, 17]]))
|
||
>>> tril = nn.Tril()
|
||
>>> result = tril(x, 1)
|
||
>>> print(result)
|
||
[[ 1, 2, 0, 0],
|
||
[ 5, 6, 7, 0],
|
||
[10, 11, 12, 13],
|
||
[14, 15, 16, 17]]))
|
||
>>> x = Tensor(np.array([[ 1, 2, 3, 4],
|
||
>>> [ 5, 6, 7, 8],
|
||
>>> [10, 11, 12, 13],
|
||
>>> [14, 15, 16, 17]]))
|
||
>>> tril = nn.Tril()
|
||
>>> result = tril(x, 2)
|
||
>>> print(result)
|
||
[[ 1, 2, 3, 0],
|
||
[ 5, 6, 7, 8],
|
||
[10, 11, 12, 13],
|
||
[14, 15, 16, 17]]))
|
||
>>> x = Tensor(np.array([[ 1, 2, 3, 4],
|
||
>>> [ 5, 6, 7, 8],
|
||
>>> [10, 11, 12, 13],
|
||
>>> [14, 15, 16, 17]]))
|
||
>>> tril = nn.Tril()
|
||
>>> result = tril(x, -1)
|
||
>>> print(result)
|
||
[[ 0, 0, 0, 0],
|
||
[ 5, 0, 0, 0],
|
||
[10, 11, 0, 0],
|
||
[14, 15, 16, 0]]))
|
||
"""
|
||
|
||
def __init__(self):
|
||
"""Initialize Tril."""
|
||
super(Tril, self).__init__()
|
||
self.dtype = P.DType()
|
||
self.mul = P.Mul()
|
||
self.cast = P.Cast()
|
||
|
||
def construct(self, x, k=0):
|
||
assist = tril(x.shape, self.dtype(x), k)
|
||
result = self.mul(self.cast(x, mstype.float32), self.cast(assist, mstype.float32))
|
||
return self.cast(result, self.dtype(x))
|
||
|
||
|
||
@constexpr
|
||
def triu(x_shape, x_dtype, k):
|
||
Validator.check_int(len(x_shape), 1, Rel.GE, "x rank", "triu")
|
||
Validator.check_is_int(k, "k value", "triu")
|
||
mask = np.triu(np.ones(x_shape), k)
|
||
return Tensor(mask, x_dtype)
|
||
|
||
|
||
class Triu(Cell):
|
||
"""
|
||
Returns a tensor with elements below the kth diagonal zeroed.
|
||
|
||
Inputs:
|
||
- **x** (Tensor) - The input tensor. The data type is Number.
|
||
:math:`(N,*)` where :math:`*` means, any number of additional dimensions.
|
||
- **k** (Int) - The index of diagonal. Default: 0
|
||
|
||
Outputs:
|
||
Tensor, has the same type and shape as input `x`.
|
||
|
||
Raises:
|
||
TypeError: If `k` is not an int.
|
||
ValueError: If length of shape of `x` is less than 1.
|
||
|
||
Supported Platforms:
|
||
``Ascend`` ``GPU`` ``CPU``
|
||
|
||
Examples:
|
||
>>> x = Tensor(np.array([[ 1, 2, 3, 4],
|
||
>>> [ 5, 6, 7, 8],
|
||
>>> [10, 11, 12, 13],
|
||
>>> [14, 15, 16, 17]]))
|
||
>>> triu = nn.Triu()
|
||
>>> result = triu(x)
|
||
>>> print(result)
|
||
[[ 1, 2, 3, 4],
|
||
[ 0, 6, 7, 8],
|
||
[ 0, 0, 12, 13],
|
||
[ 0, 0, 0, 17]]))
|
||
>>> x = Tensor(np.array([[ 1, 2, 3, 4],
|
||
>>> [ 5, 6, 7, 8],
|
||
>>> [10, 11, 12, 13],
|
||
>>> [14, 15, 16, 17]]))
|
||
>>> triu = nn.Triu()
|
||
>>> result = triu(x, 1)
|
||
>>> print(result)
|
||
[[ 0, 2, 3, 4],
|
||
[ 0, 0, 7, 8],
|
||
[ 0, 0, 0, 13],
|
||
[ 0, 0, 0, 0]]))
|
||
>>> x = Tensor(np.array([[ 1, 2, 3, 4],
|
||
>>> [ 5, 6, 7, 8],
|
||
>>> [10, 11, 12, 13],
|
||
>>> [14, 15, 16, 17]]))
|
||
>>> triu = nn.Triu()
|
||
>>> result = triu(x, 2)
|
||
>>> print(result)
|
||
[[ 0, 0, 3, 4],
|
||
[ 0, 0, 0, 8],
|
||
[ 0, 0, 0, 0],
|
||
[ 0, 0, 0, 0]]))
|
||
>>> x = Tensor(np.array([[ 1, 2, 3, 4],
|
||
>>> [ 5, 6, 7, 8],
|
||
>>> [10, 11, 12, 13],
|
||
>>> [14, 15, 16, 17]]))
|
||
>>> triu = nn.Triu()
|
||
>>> result = triu(x, -1)
|
||
>>> print(result)
|
||
[[ 1, 2, 3, 4],
|
||
[ 5, 6, 7, 8],
|
||
[ 0, 11, 12, 13],
|
||
[ 0, 0, 16, 17]]))
|
||
"""
|
||
|
||
def __init__(self):
|
||
"""Initialize Triu."""
|
||
super(Triu, self).__init__()
|
||
self.dtype = P.DType()
|
||
self.mul = P.Mul()
|
||
self.cast = P.Cast()
|
||
|
||
def construct(self, x, k=0):
|
||
assist = triu(x.shape, self.dtype(x), k)
|
||
result = self.mul(self.cast(x, mstype.float32), self.cast(assist, mstype.float32))
|
||
return self.cast(result, self.dtype(x))
|
||
|
||
|
||
@constexpr
|
||
def _get_matrix_diag_assist(x_shape, x_dtype):
|
||
Validator.check_int(len(x_shape), 1, Rel.GE, "x rank", "_get_matrix_diag_assist")
|
||
base_eye = np.eye(x_shape[-1], x_shape[-1]).reshape(-1)
|
||
assist = np.tile(base_eye, x_shape[:-1]).reshape(x_shape + (x_shape[-1],))
|
||
return Tensor(assist, x_dtype)
|
||
|
||
|
||
@constexpr
|
||
def _get_matrix_diag_part_assist(x_shape, x_dtype):
|
||
Validator.check_int(len(x_shape), 2, Rel.GE, "x rank", "_get_matrix_diag_part_assist")
|
||
base_eye = np.eye(x_shape[-2], x_shape[-1]).reshape(-1)
|
||
assist = np.tile(base_eye, x_shape[:-2]).reshape(x_shape)
|
||
return Tensor(assist, x_dtype)
|
||
|
||
|
||
class MatrixDiag(Cell):
|
||
r"""
|
||
Returns a batched diagonal tensor with a given batched diagonal values.
|
||
|
||
Assume `x` has :math:`k` dimensions :math:`[I, J, K, ..., N]`, then the output is a tensor of rank
|
||
:math:`k+1` with dimensions :math:`[I, J, K, ..., N, N]` where:
|
||
:math:`output[i, j, k, ..., m, n] = 1\{m=n\} * x[i, j, k, ..., n]`
|
||
|
||
Inputs:
|
||
- **x** (Tensor) - The diagonal values. It can be one of the following data types:
|
||
float32, float16, int32, int8, and uint8.
|
||
The shape is :math:`(N,*)` where :math:`*` means, any number of additional dimensions.
|
||
|
||
Outputs:
|
||
Tensor, has the same type as input `x`. The shape must be x.shape + (x.shape[-1], ).
|
||
|
||
Raises:
|
||
TypeError: If dtype of `x` is not one of float32, float16, int32, int8 or uint8.
|
||
|
||
Supported Platforms:
|
||
``Ascend``
|
||
|
||
Examples:
|
||
>>> x = Tensor(np.array([1, -1]), mindspore.float32)
|
||
>>> matrix_diag = nn.MatrixDiag()
|
||
>>> output = matrix_diag(x)
|
||
>>> print(x.shape)
|
||
(2,)
|
||
>>> print(output)
|
||
[[ 1. 0.]
|
||
[ 0. -1.]]
|
||
>>> print(output.shape)
|
||
(2, 2)
|
||
>>> x = Tensor(np.array([[1, -1], [1, -1]]), mindspore.float32)
|
||
>>> matrix_diag = nn.MatrixDiag()
|
||
>>> output = matrix_diag(x)
|
||
>>> print(x.shape)
|
||
(2, 2)
|
||
>>> print(output)
|
||
[[[ 1. 0.]
|
||
[ 0. -1.]]
|
||
[[ 1. 0.]
|
||
[ 0. -1.]]]
|
||
>>> print(output.shape)
|
||
(2, 2, 2)
|
||
>>> x = Tensor(np.array([[1, -1, 1], [1, -1, 1]]), mindspore.float32)
|
||
>>> matrix_diag = nn.MatrixDiag()
|
||
>>> output = matrix_diag(x)
|
||
>>> print(x.shape)
|
||
(2, 3)
|
||
>>> print(output)
|
||
[[[ 1. 0. 0.]
|
||
[ 0. -1. 0.]
|
||
[ 0. 0. 1.]
|
||
[[ 1. 0. 0.]
|
||
[ 0. -1. 0.]
|
||
[ 0. 0. 1.]]]
|
||
>>> print(output.shape)
|
||
(2, 3, 3)
|
||
"""
|
||
|
||
def __init__(self):
|
||
"""Initialize MatrixDiag."""
|
||
super(MatrixDiag, self).__init__()
|
||
self.matrix_diag = inner.MatrixDiag()
|
||
self.dtype = P.DType()
|
||
|
||
def construct(self, input_x):
|
||
x_shape = F.shape(input_x)
|
||
x_dtype = self.dtype(input_x)
|
||
assist = _get_matrix_diag_assist(x_shape, x_dtype)
|
||
out_matrix_diag = self.matrix_diag(input_x, assist)
|
||
return out_matrix_diag
|
||
|
||
|
||
class MatrixDiagPart(Cell):
|
||
r"""
|
||
Returns the batched diagonal part of a batched tensor.
|
||
|
||
Assume `x` has :math:`k` dimensions :math:`[I, J, K, ..., M, N]`, then the output is a tensor of rank
|
||
:math:`k-1` with dimensions :math:`[I, J, K, ..., min(M, N)]` where:
|
||
:math:`output[i, j, k, ..., n] = x[i, j, k, ..., n, n]`
|
||
|
||
Inputs:
|
||
- **x** (Tensor) - The batched tensor. It can be one of the following data types:
|
||
float32, float16, int32, int8, and uint8.
|
||
|
||
Outputs:
|
||
Tensor, has the same type as input `x`. The shape must be x.shape[:-2] + [min(x.shape[-2:])].
|
||
|
||
Raises:
|
||
TypeError: If dtype of `x` is not one of float32, float16, int32, int8 or uint8.
|
||
|
||
Supported Platforms:
|
||
``Ascend``
|
||
|
||
Examples:
|
||
>>> x = Tensor([[[-1, 0], [0, 1]],
|
||
... [[-1, 0], [0, 1]],
|
||
... [[-1, 0], [0, 1]]], mindspore.float32)
|
||
>>> matrix_diag_part = nn.MatrixDiagPart()
|
||
>>> output = matrix_diag_part(x)
|
||
>>> print(output)
|
||
[[-1. 1.]
|
||
[-1. 1.]
|
||
[-1. 1.]]
|
||
>>> x = Tensor([[-1, 0, 0, 1],
|
||
... [-1, 0, 0, 1],
|
||
... [-1, 0, 0, 1],
|
||
... [-1, 0, 0, 1]], mindspore.float32)
|
||
>>> matrix_diag_part = nn.MatrixDiagPart()
|
||
>>> output = matrix_diag_part(x)
|
||
>>> print(output)
|
||
[-1 0 0 1]
|
||
"""
|
||
|
||
def __init__(self):
|
||
"""Initialize MatrixDiagPart."""
|
||
super(MatrixDiagPart, self).__init__()
|
||
self.matrix_diag_part = inner.MatrixDiagPart()
|
||
self.dtype = P.DType()
|
||
|
||
def construct(self, input_x):
|
||
x_shape = F.shape(input_x)
|
||
x_dtype = self.dtype(input_x)
|
||
assist = _get_matrix_diag_part_assist(x_shape, x_dtype)
|
||
out_matrix_diag_part = self.matrix_diag_part(input_x, assist)
|
||
return out_matrix_diag_part
|
||
|
||
|
||
class MatrixSetDiag(Cell):
|
||
r"""
|
||
Modifies the batched diagonal part of a batched tensor.
|
||
|
||
Assume `x` has :math:`k+1` dimensions :math:`[I, J, K, ..., M, N]` and `diagonal` has :math:`k`
|
||
dimensions :math:`[I, J, K, ..., min(M, N)]`. Then the output is a tensor of rank :math:`k+1` with dimensions
|
||
:math:`[I, J, K, ..., M, N]` where:
|
||
|
||
.. math::
|
||
output[i, j, k, ..., m, n] = diagnoal[i, j, k, ..., n]\ for\ m == n
|
||
|
||
.. math::
|
||
output[i, j, k, ..., m, n] = x[i, j, k, ..., m, n]\ for\ m != n
|
||
|
||
Inputs:
|
||
- **x** (Tensor) - The batched tensor. Rank k+1, where k >= 1. It can be one of the following data types:
|
||
float32, float16, int32, int8, and uint8.
|
||
- **diagonal** (Tensor) - The diagonal values. Must have the same type as input `x`. Rank k, where k >= 1.
|
||
|
||
Outputs:
|
||
Tensor, has the same type and shape as input `x`.
|
||
|
||
Raises:
|
||
TypeError: If dtype of `x` or `diagonal` is not one of float32, float16, int32, int8 or uint8.
|
||
ValueError: If length of shape of `x` is less than 2.
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ValueError: If x_shape[-2] < x_shape[-1] and x_shape[:-1] != diagonal_shape.
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ValueError: If x_shape[-2] >= x_shape[-1] and x_shape[:-2] + x_shape[-1:] != diagonal_shape.
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Supported Platforms:
|
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``Ascend``
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|
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Examples:
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>>> x = Tensor([[[-1, 0], [0, 1]], [[-1, 0], [0, 1]], [[-1, 0], [0, 1]]], mindspore.float32)
|
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>>> diagonal = Tensor([[-1., 2.], [-1., 1.], [-1., 1.]], mindspore.float32)
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>>> matrix_set_diag = nn.MatrixSetDiag()
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||
>>> output = matrix_set_diag(x, diagonal)
|
||
>>> print(output)
|
||
[[[-1. 0.]
|
||
[ 0. 2.]]
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||
[[-1. 0.]
|
||
[ 0. 1.]]
|
||
[[-1. 0.]
|
||
[ 0. 1.]]]
|
||
"""
|
||
|
||
def __init__(self):
|
||
"""Initialize MatrixSetDiag."""
|
||
super(MatrixSetDiag, self).__init__()
|
||
self.matrix_set_diag = inner.MatrixSetDiag()
|
||
self.dtype = P.DType()
|
||
|
||
def construct(self, input_x, diagonal):
|
||
x_shape = F.shape(input_x)
|
||
x_dtype = self.dtype(input_x)
|
||
assist = _get_matrix_diag_part_assist(x_shape, x_dtype)
|
||
out_matrix_set_diag = self.matrix_set_diag(input_x, diagonal, assist)
|
||
return out_matrix_set_diag
|