image-match/python/py/Lib/site-packages/torchmetrics/functional/pairwise/cosine.py

# Copyright The Lightning team.
#
# 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.
from typing import Optional

import torch
from torch import Tensor
from typing_extensions import Literal

from torchmetrics.functional.pairwise.helpers import _check_input, _reduce_distance_matrix
from torchmetrics.utilities.compute import _safe_matmul


def _pairwise_cosine_similarity_update(
    x: Tensor, y: Optional[Tensor] = None, zero_diagonal: Optional[bool] = None
) -> Tensor:
    """Calculate the pairwise cosine similarity matrix.

    Args:
        x: tensor of shape ``[N,d]``
        y: tensor of shape ``[M,d]``
        zero_diagonal: determines if the diagonal of the distance matrix should be set to zero

    """
    x, y, zero_diagonal = _check_input(x, y, zero_diagonal)

    norm = torch.norm(x, p=2, dim=1)
    x = x / norm.unsqueeze(1)
    norm = torch.norm(y, p=2, dim=1)
    y = y / norm.unsqueeze(1)

    distance = _safe_matmul(x, y)
    if zero_diagonal:
        distance.fill_diagonal_(0)
    return distance


def pairwise_cosine_similarity(
    x: Tensor,
    y: Optional[Tensor] = None,
    reduction: Literal["mean", "sum", "none", None] = None,
    zero_diagonal: Optional[bool] = None,
) -> Tensor:
    r"""Calculate pairwise cosine similarity.

    .. math::
        s_{cos}(x,y) = \frac{<x,y>}{||x|| \cdot ||y||}
                     = \frac{\sum_{d=1}^D x_d \cdot y_d }{\sqrt{\sum_{d=1}^D x_i^2} \cdot \sqrt{\sum_{d=1}^D y_i^2}}

    If both :math:`x` and :math:`y` are passed in, the calculation will be performed pairwise
    between the rows of :math:`x` and :math:`y`.
    If only :math:`x` is passed in, the calculation will be performed between the rows of :math:`x`.

    Args:
        x: Tensor with shape ``[N, d]``
        y: Tensor with shape ``[M, d]``, optional
        reduction: reduction to apply along the last dimension. Choose between `'mean'`, `'sum'`
            (applied along column dimension) or  `'none'`, `None` for no reduction
        zero_diagonal: if the diagonal of the distance matrix should be set to 0. If only :math:`x` is given
            this defaults to ``True`` else if :math:`y` is also given it defaults to ``False``

    Returns:
        A ``[N,N]`` matrix of distances if only ``x`` is given, else a ``[N,M]`` matrix

    Example:
        >>> import torch
        >>> from torchmetrics.functional.pairwise import pairwise_cosine_similarity
        >>> x = torch.tensor([[2, 3], [3, 5], [5, 8]], dtype=torch.float32)
        >>> y = torch.tensor([[1, 0], [2, 1]], dtype=torch.float32)
        >>> pairwise_cosine_similarity(x, y)
        tensor([[0.5547, 0.8682],
                [0.5145, 0.8437],
                [0.5300, 0.8533]])
        >>> pairwise_cosine_similarity(x)
        tensor([[0.0000, 0.9989, 0.9996],
                [0.9989, 0.0000, 0.9998],
                [0.9996, 0.9998, 0.0000]])

    """
    distance = _pairwise_cosine_similarity_update(x, y, zero_diagonal)
    return _reduce_distance_matrix(distance, reduction)