precision_recall.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.classification.stat_scores import (
    _binary_stat_scores_arg_validation,
    _binary_stat_scores_format,
    _binary_stat_scores_tensor_validation,
    _binary_stat_scores_update,
    _multiclass_stat_scores_arg_validation,
    _multiclass_stat_scores_format,
    _multiclass_stat_scores_tensor_validation,
    _multiclass_stat_scores_update,
    _multilabel_stat_scores_arg_validation,
    _multilabel_stat_scores_format,
    _multilabel_stat_scores_tensor_validation,
    _multilabel_stat_scores_update,
)
from torchmetrics.utilities.compute import _adjust_weights_safe_divide, _safe_divide
from torchmetrics.utilities.enums import ClassificationTask


def _precision_recall_reduce(
    stat: Literal["precision", "recall"],
    tp: Tensor,
    fp: Tensor,
    tn: Tensor,
    fn: Tensor,
    average: Optional[Literal["binary", "micro", "macro", "weighted", "none"]],
    multidim_average: Literal["global", "samplewise"] = "global",
    multilabel: bool = False,
) -> Tensor:
    different_stat = fp if stat == "precision" else fn  # this is what differs between the two scores
    if average == "binary":
        return _safe_divide(tp, tp + different_stat)
    if average == "micro":
        tp = tp.sum(dim=0 if multidim_average == "global" else 1)
        fn = fn.sum(dim=0 if multidim_average == "global" else 1)
        different_stat = different_stat.sum(dim=0 if multidim_average == "global" else 1)
        return _safe_divide(tp, tp + different_stat)

    score = _safe_divide(tp, tp + different_stat)
    return _adjust_weights_safe_divide(score, average, multilabel, tp, fp, fn)


def binary_precision(
    preds: Tensor,
    target: Tensor,
    threshold: float = 0.5,
    multidim_average: Literal["global", "samplewise"] = "global",
    ignore_index: Optional[int] = None,
    validate_args: bool = True,
) -> Tensor:
    r"""Compute `Precision`_ for binary tasks.

    .. math:: \text{Precision} = \frac{\text{TP}}{\text{TP} + \text{FP}}

    Where :math:`\text{TP}` and :math:`\text{FP}` represent the number of true positives and
    false positives respecitively.

    Accepts the following input tensors:

    - ``preds`` (int or float tensor): ``(N, ...)``. If preds is a floating point tensor with values outside
      [0,1] range we consider the input to be logits and will auto apply sigmoid per element. Addtionally,
      we convert to int tensor with thresholding using the value in ``threshold``.
    - ``target`` (int tensor): ``(N, ...)``

    Args:
        preds: Tensor with predictions
        target: Tensor with true labels
        threshold: Threshold for transforming probability to binary {0,1} predictions
        multidim_average:
            Defines how additionally dimensions ``...`` should be handled. Should be one of the following:

            - ``global``: Additional dimensions are flatted along the batch dimension
            - ``samplewise``: Statistic will be calculated independently for each sample on the ``N`` axis.
              The statistics in this case are calculated over the additional dimensions.

        ignore_index:
            Specifies a target value that is ignored and does not contribute to the metric calculation
        validate_args: bool indicating if input arguments and tensors should be validated for correctness.
            Set to ``False`` for faster computations.

    Returns:
        If ``multidim_average`` is set to ``global``, the metric returns a scalar value. If ``multidim_average``
        is set to ``samplewise``, the metric returns ``(N,)`` vector consisting of a scalar value per sample.

    Example (preds is int tensor):
        >>> from torch import tensor
        >>> from torchmetrics.functional.classification import binary_precision
        >>> target = tensor([0, 1, 0, 1, 0, 1])
        >>> preds = tensor([0, 0, 1, 1, 0, 1])
        >>> binary_precision(preds, target)
        tensor(0.6667)

    Example (preds is float tensor):
        >>> from torchmetrics.functional.classification import binary_precision
        >>> target = tensor([0, 1, 0, 1, 0, 1])
        >>> preds = tensor([0.11, 0.22, 0.84, 0.73, 0.33, 0.92])
        >>> binary_precision(preds, target)
        tensor(0.6667)

    Example (multidim tensors):
        >>> from torchmetrics.functional.classification import binary_precision
        >>> target = tensor([[[0, 1], [1, 0], [0, 1]], [[1, 1], [0, 0], [1, 0]]])
        >>> preds = tensor([[[0.59, 0.91], [0.91, 0.99], [0.63, 0.04]],
        ...                 [[0.38, 0.04], [0.86, 0.780], [0.45, 0.37]]])
        >>> binary_precision(preds, target, multidim_average='samplewise')
        tensor([0.4000, 0.0000])
    """
    if validate_args:
        _binary_stat_scores_arg_validation(threshold, multidim_average, ignore_index)
        _binary_stat_scores_tensor_validation(preds, target, multidim_average, ignore_index)
    preds, target = _binary_stat_scores_format(preds, target, threshold, ignore_index)
    tp, fp, tn, fn = _binary_stat_scores_update(preds, target, multidim_average)
    return _precision_recall_reduce("precision", tp, fp, tn, fn, average="binary", multidim_average=multidim_average)


def multiclass_precision(
    preds: Tensor,
    target: Tensor,
    num_classes: int,
    average: Optional[Literal["micro", "macro", "weighted", "none"]] = "macro",
    top_k: int = 1,
    multidim_average: Literal["global", "samplewise"] = "global",
    ignore_index: Optional[int] = None,
    validate_args: bool = True,
) -> Tensor:
    r"""Compute `Precision`_ for multiclass tasks.

    .. math:: \text{Precision} = \frac{\text{TP}}{\text{TP} + \text{FP}}

    Where :math:`\text{TP}` and :math:`\text{FP}` represent the number of true positives and
    false positives respecitively.

    Accepts the following input tensors:

    - ``preds``: ``(N, ...)`` (int tensor) or ``(N, C, ..)`` (float tensor). If preds is a floating point
      we apply ``torch.argmax`` along the ``C`` dimension to automatically convert probabilities/logits into
      an int tensor.
    - ``target`` (int tensor): ``(N, ...)``

    Args:
        preds: Tensor with predictions
        target: Tensor with true labels
        num_classes: Integer specifing the number of classes
        average:
            Defines the reduction that is applied over labels. Should be one of the following:

            - ``micro``: Sum statistics over all labels
            - ``macro``: Calculate statistics for each label and average them
            - ``weighted``: calculates statistics for each label and computes weighted average using their support
            - ``"none"`` or ``None``: calculates statistic for each label and applies no reduction

        top_k:
            Number of highest probability or logit score predictions considered to find the correct label.
            Only works when ``preds`` contain probabilities/logits.
        multidim_average:
            Defines how additionally dimensions ``...`` should be handled. Should be one of the following:

            - ``global``: Additional dimensions are flatted along the batch dimension
            - ``samplewise``: Statistic will be calculated independently for each sample on the ``N`` axis.
              The statistics in this case are calculated over the additional dimensions.

        ignore_index:
            Specifies a target value that is ignored and does not contribute to the metric calculation
        validate_args: bool indicating if input arguments and tensors should be validated for correctness.
            Set to ``False`` for faster computations.

    Returns:
        The returned shape depends on the ``average`` and ``multidim_average`` arguments:

        - If ``multidim_average`` is set to ``global``:

          - If ``average='micro'/'macro'/'weighted'``, the output will be a scalar tensor
          - If ``average=None/'none'``, the shape will be ``(C,)``

        - If ``multidim_average`` is set to ``samplewise``:

          - If ``average='micro'/'macro'/'weighted'``, the shape will be ``(N,)``
          - If ``average=None/'none'``, the shape will be ``(N, C)``

    Example (preds is int tensor):
        >>> from torch import tensor
        >>> from torchmetrics.functional.classification import multiclass_precision
        >>> target = tensor([2, 1, 0, 0])
        >>> preds = tensor([2, 1, 0, 1])
        >>> multiclass_precision(preds, target, num_classes=3)
        tensor(0.8333)
        >>> multiclass_precision(preds, target, num_classes=3, average=None)
        tensor([1.0000, 0.5000, 1.0000])

    Example (preds is float tensor):
        >>> from torchmetrics.functional.classification import multiclass_precision
        >>> target = tensor([2, 1, 0, 0])
        >>> preds = tensor([[0.16, 0.26, 0.58],
        ...                 [0.22, 0.61, 0.17],
        ...                 [0.71, 0.09, 0.20],
        ...                 [0.05, 0.82, 0.13]])
        >>> multiclass_precision(preds, target, num_classes=3)
        tensor(0.8333)
        >>> multiclass_precision(preds, target, num_classes=3, average=None)
        tensor([1.0000, 0.5000, 1.0000])

    Example (multidim tensors):
        >>> from torchmetrics.functional.classification import multiclass_precision
        >>> target = tensor([[[0, 1], [2, 1], [0, 2]], [[1, 1], [2, 0], [1, 2]]])
        >>> preds = tensor([[[0, 2], [2, 0], [0, 1]], [[2, 2], [2, 1], [1, 0]]])
        >>> multiclass_precision(preds, target, num_classes=3, multidim_average='samplewise')
        tensor([0.3889, 0.2778])
        >>> multiclass_precision(preds, target, num_classes=3, multidim_average='samplewise', average=None)
        tensor([[0.6667, 0.0000, 0.5000],
                [0.0000, 0.5000, 0.3333]])
    """
    if validate_args:
        _multiclass_stat_scores_arg_validation(num_classes, top_k, average, multidim_average, ignore_index)
        _multiclass_stat_scores_tensor_validation(preds, target, num_classes, multidim_average, ignore_index)
    preds, target = _multiclass_stat_scores_format(preds, target, top_k)
    tp, fp, tn, fn = _multiclass_stat_scores_update(
        preds, target, num_classes, top_k, average, multidim_average, ignore_index
    )
    return _precision_recall_reduce("precision", tp, fp, tn, fn, average=average, multidim_average=multidim_average)


def multilabel_precision(
    preds: Tensor,
    target: Tensor,
    num_labels: int,
    threshold: float = 0.5,
    average: Optional[Literal["micro", "macro", "weighted", "none"]] = "macro",
    multidim_average: Literal["global", "samplewise"] = "global",
    ignore_index: Optional[int] = None,
    validate_args: bool = True,
) -> Tensor:
    r"""Compute `Precision`_ for multilabel tasks.

    .. math:: \text{Precision} = \frac{\text{TP}}{\text{TP} + \text{FP}}

    Where :math:`\text{TP}` and :math:`\text{FP}` represent the number of true positives and
    false positives respecitively.

    Accepts the following input tensors:

    - ``preds`` (int or float tensor): ``(N, C, ...)``. If preds is a floating point tensor with values outside
      [0,1] range we consider the input to be logits and will auto apply sigmoid per element. Addtionally,
      we convert to int tensor with thresholding using the value in ``threshold``.
    - ``target`` (int tensor): ``(N, C, ...)``

    Args:
        preds: Tensor with predictions
        target: Tensor with true labels
        num_labels: Integer specifing the number of labels
        threshold: Threshold for transforming probability to binary (0,1) predictions
        average:
            Defines the reduction that is applied over labels. Should be one of the following:

            - ``micro``: Sum statistics over all labels
            - ``macro``: Calculate statistics for each label and average them
            - ``weighted``: calculates statistics for each label and computes weighted average using their support
            - ``"none"`` or ``None``: calculates statistic for each label and applies no reduction

        multidim_average:
            Defines how additionally dimensions ``...`` should be handled. Should be one of the following:

            - ``global``: Additional dimensions are flatted along the batch dimension
            - ``samplewise``: Statistic will be calculated independently for each sample on the ``N`` axis.
              The statistics in this case are calculated over the additional dimensions.

        ignore_index:
            Specifies a target value that is ignored and does not contribute to the metric calculation
        validate_args: bool indicating if input arguments and tensors should be validated for correctness.
            Set to ``False`` for faster computations.

    Returns:
        The returned shape depends on the ``average`` and ``multidim_average`` arguments:

        - If ``multidim_average`` is set to ``global``:

          - If ``average='micro'/'macro'/'weighted'``, the output will be a scalar tensor
          - If ``average=None/'none'``, the shape will be ``(C,)``

        - If ``multidim_average`` is set to ``samplewise``:

          - If ``average='micro'/'macro'/'weighted'``, the shape will be ``(N,)``
          - If ``average=None/'none'``, the shape will be ``(N, C)``

    Example (preds is int tensor):
        >>> from torch import tensor
        >>> from torchmetrics.functional.classification import multilabel_precision
        >>> target = tensor([[0, 1, 0], [1, 0, 1]])
        >>> preds = tensor([[0, 0, 1], [1, 0, 1]])
        >>> multilabel_precision(preds, target, num_labels=3)
        tensor(0.5000)
        >>> multilabel_precision(preds, target, num_labels=3, average=None)
        tensor([1.0000, 0.0000, 0.5000])

    Example (preds is float tensor):
        >>> from torchmetrics.functional.classification import multilabel_precision
        >>> target = tensor([[0, 1, 0], [1, 0, 1]])
        >>> preds = tensor([[0.11, 0.22, 0.84], [0.73, 0.33, 0.92]])
        >>> multilabel_precision(preds, target, num_labels=3)
        tensor(0.5000)
        >>> multilabel_precision(preds, target, num_labels=3, average=None)
        tensor([1.0000, 0.0000, 0.5000])

    Example (multidim tensors):
        >>> from torchmetrics.functional.classification import multilabel_precision
        >>> target = tensor([[[0, 1], [1, 0], [0, 1]], [[1, 1], [0, 0], [1, 0]]])
        >>> preds = tensor([[[0.59, 0.91], [0.91, 0.99], [0.63, 0.04]],
        ...                 [[0.38, 0.04], [0.86, 0.780], [0.45, 0.37]]])
        >>> multilabel_precision(preds, target, num_labels=3, multidim_average='samplewise')
        tensor([0.3333, 0.0000])
        >>> multilabel_precision(preds, target, num_labels=3, multidim_average='samplewise', average=None)
        tensor([[0.5000, 0.5000, 0.0000],
                [0.0000, 0.0000, 0.0000]])
    """
    if validate_args:
        _multilabel_stat_scores_arg_validation(num_labels, threshold, average, multidim_average, ignore_index)
        _multilabel_stat_scores_tensor_validation(preds, target, num_labels, multidim_average, ignore_index)
    preds, target = _multilabel_stat_scores_format(preds, target, num_labels, threshold, ignore_index)
    tp, fp, tn, fn = _multilabel_stat_scores_update(preds, target, multidim_average)
    return _precision_recall_reduce(
        "precision", tp, fp, tn, fn, average=average, multidim_average=multidim_average, multilabel=True
    )


def binary_recall(
    preds: Tensor,
    target: Tensor,
    threshold: float = 0.5,
    multidim_average: Literal["global", "samplewise"] = "global",
    ignore_index: Optional[int] = None,
    validate_args: bool = True,
) -> Tensor:
    r"""Compute `Recall`_ for binary tasks.

    .. math:: \text{Recall} = \frac{\text{TP}}{\text{TP} + \text{FN}}

    Where :math:`\text{TP}` and :math:`\text{FN}` represent the number of true positives and
    false negatives respecitively.

    Accepts the following input tensors:

    - ``preds`` (int or float tensor): ``(N, ...)``. If preds is a floating point tensor with values outside
      [0,1] range we consider the input to be logits and will auto apply sigmoid per element. Addtionally,
      we convert to int tensor with thresholding using the value in ``threshold``.
    - ``target`` (int tensor): ``(N, ...)``

    Args:
        preds: Tensor with predictions
        target: Tensor with true labels
        threshold: Threshold for transforming probability to binary {0,1} predictions
        multidim_average:
            Defines how additionally dimensions ``...`` should be handled. Should be one of the following:

            - ``global``: Additional dimensions are flatted along the batch dimension
            - ``samplewise``: Statistic will be calculated independently for each sample on the ``N`` axis.
              The statistics in this case are calculated over the additional dimensions.

        ignore_index:
            Specifies a target value that is ignored and does not contribute to the metric calculation
        validate_args: bool indicating if input arguments and tensors should be validated for correctness.
            Set to ``False`` for faster computations.

    Returns:
        If ``multidim_average`` is set to ``global``, the metric returns a scalar value. If ``multidim_average``
        is set to ``samplewise``, the metric returns ``(N,)`` vector consisting of a scalar value per sample.

    Example (preds is int tensor):
        >>> from torch import tensor
        >>> from torchmetrics.functional.classification import binary_recall
        >>> target = tensor([0, 1, 0, 1, 0, 1])
        >>> preds = tensor([0, 0, 1, 1, 0, 1])
        >>> binary_recall(preds, target)
        tensor(0.6667)

    Example (preds is float tensor):
        >>> from torchmetrics.functional.classification import binary_recall
        >>> target = tensor([0, 1, 0, 1, 0, 1])
        >>> preds = tensor([0.11, 0.22, 0.84, 0.73, 0.33, 0.92])
        >>> binary_recall(preds, target)
        tensor(0.6667)

    Example (multidim tensors):
        >>> from torchmetrics.functional.classification import binary_recall
        >>> target = tensor([[[0, 1], [1, 0], [0, 1]], [[1, 1], [0, 0], [1, 0]]])
        >>> preds = tensor([[[0.59, 0.91], [0.91, 0.99], [0.63, 0.04]],
        ...                 [[0.38, 0.04], [0.86, 0.780], [0.45, 0.37]]])
        >>> binary_recall(preds, target, multidim_average='samplewise')
        tensor([0.6667, 0.0000])
    """
    if validate_args:
        _binary_stat_scores_arg_validation(threshold, multidim_average, ignore_index)
        _binary_stat_scores_tensor_validation(preds, target, multidim_average, ignore_index)
    preds, target = _binary_stat_scores_format(preds, target, threshold, ignore_index)
    tp, fp, tn, fn = _binary_stat_scores_update(preds, target, multidim_average)
    return _precision_recall_reduce("recall", tp, fp, tn, fn, average="binary", multidim_average=multidim_average)


def multiclass_recall(
    preds: Tensor,
    target: Tensor,
    num_classes: int,
    average: Optional[Literal["micro", "macro", "weighted", "none"]] = "macro",
    top_k: int = 1,
    multidim_average: Literal["global", "samplewise"] = "global",
    ignore_index: Optional[int] = None,
    validate_args: bool = True,
) -> Tensor:
    r"""Compute `Recall`_ for multiclass tasks.

    .. math:: \text{Recall} = \frac{\text{TP}}{\text{TP} + \text{FN}}

    Where :math:`\text{TP}` and :math:`\text{FN}` represent the number of true positives and
    false negatives respecitively.

    Accepts the following input tensors:

    - ``preds``: ``(N, ...)`` (int tensor) or ``(N, C, ..)`` (float tensor). If preds is a floating point
      we apply ``torch.argmax`` along the ``C`` dimension to automatically convert probabilities/logits into
      an int tensor.
    - ``target`` (int tensor): ``(N, ...)``

    Args:
        preds: Tensor with predictions
        target: Tensor with true labels
        num_classes: Integer specifing the number of classes
        average:
            Defines the reduction that is applied over labels. Should be one of the following:

            - ``micro``: Sum statistics over all labels
            - ``macro``: Calculate statistics for each label and average them
            - ``weighted``: calculates statistics for each label and computes weighted average using their support
            - ``"none"`` or ``None``: calculates statistic for each label and applies no reduction

        top_k:
            Number of highest probability or logit score predictions considered to find the correct label.
            Only works when ``preds`` contain probabilities/logits.
        multidim_average:
            Defines how additionally dimensions ``...`` should be handled. Should be one of the following:

            - ``global``: Additional dimensions are flatted along the batch dimension
            - ``samplewise``: Statistic will be calculated independently for each sample on the ``N`` axis.
              The statistics in this case are calculated over the additional dimensions.

        ignore_index:
            Specifies a target value that is ignored and does not contribute to the metric calculation
        validate_args: bool indicating if input arguments and tensors should be validated for correctness.
            Set to ``False`` for faster computations.

    Returns:
        The returned shape depends on the ``average`` and ``multidim_average`` arguments:

        - If ``multidim_average`` is set to ``global``:

          - If ``average='micro'/'macro'/'weighted'``, the output will be a scalar tensor
          - If ``average=None/'none'``, the shape will be ``(C,)``

        - If ``multidim_average`` is set to ``samplewise``:

          - If ``average='micro'/'macro'/'weighted'``, the shape will be ``(N,)``
          - If ``average=None/'none'``, the shape will be ``(N, C)``

    Example (preds is int tensor):
        >>> from torch import tensor
        >>> from torchmetrics.functional.classification import multiclass_recall
        >>> target = tensor([2, 1, 0, 0])
        >>> preds = tensor([2, 1, 0, 1])
        >>> multiclass_recall(preds, target, num_classes=3)
        tensor(0.8333)
        >>> multiclass_recall(preds, target, num_classes=3, average=None)
        tensor([0.5000, 1.0000, 1.0000])

    Example (preds is float tensor):
        >>> from torchmetrics.functional.classification import multiclass_recall
        >>> target = tensor([2, 1, 0, 0])
        >>> preds = tensor([[0.16, 0.26, 0.58],
        ...                 [0.22, 0.61, 0.17],
        ...                 [0.71, 0.09, 0.20],
        ...                 [0.05, 0.82, 0.13]])
        >>> multiclass_recall(preds, target, num_classes=3)
        tensor(0.8333)
        >>> multiclass_recall(preds, target, num_classes=3, average=None)
        tensor([0.5000, 1.0000, 1.0000])

    Example (multidim tensors):
        >>> from torchmetrics.functional.classification import multiclass_recall
        >>> target = tensor([[[0, 1], [2, 1], [0, 2]], [[1, 1], [2, 0], [1, 2]]])
        >>> preds = tensor([[[0, 2], [2, 0], [0, 1]], [[2, 2], [2, 1], [1, 0]]])
        >>> multiclass_recall(preds, target, num_classes=3, multidim_average='samplewise')
        tensor([0.5000, 0.2778])
        >>> multiclass_recall(preds, target, num_classes=3, multidim_average='samplewise', average=None)
        tensor([[1.0000, 0.0000, 0.5000],
                [0.0000, 0.3333, 0.5000]])
    """
    if validate_args:
        _multiclass_stat_scores_arg_validation(num_classes, top_k, average, multidim_average, ignore_index)
        _multiclass_stat_scores_tensor_validation(preds, target, num_classes, multidim_average, ignore_index)
    preds, target = _multiclass_stat_scores_format(preds, target, top_k)
    tp, fp, tn, fn = _multiclass_stat_scores_update(
        preds, target, num_classes, top_k, average, multidim_average, ignore_index
    )
    return _precision_recall_reduce("recall", tp, fp, tn, fn, average=average, multidim_average=multidim_average)


def multilabel_recall(
    preds: Tensor,
    target: Tensor,
    num_labels: int,
    threshold: float = 0.5,
    average: Optional[Literal["micro", "macro", "weighted", "none"]] = "macro",
    multidim_average: Literal["global", "samplewise"] = "global",
    ignore_index: Optional[int] = None,
    validate_args: bool = True,
) -> Tensor:
    r"""Compute `Recall`_ for multilabel tasks.

    .. math:: \text{Recall} = \frac{\text{TP}}{\text{TP} + \text{FN}}

    Where :math:`\text{TP}` and :math:`\text{FN}` represent the number of true positives and
    false negatives respecitively.

    Accepts the following input tensors:

    - ``preds`` (int or float tensor): ``(N, C, ...)``. If preds is a floating point tensor with values outside
      [0,1] range we consider the input to be logits and will auto apply sigmoid per element. Addtionally,
      we convert to int tensor with thresholding using the value in ``threshold``.
    - ``target`` (int tensor): ``(N, C, ...)``

    Args:
        preds: Tensor with predictions
        target: Tensor with true labels
        num_labels: Integer specifing the number of labels
        threshold: Threshold for transforming probability to binary (0,1) predictions
        average:
            Defines the reduction that is applied over labels. Should be one of the following:

            - ``micro``: Sum statistics over all labels
            - ``macro``: Calculate statistics for each label and average them
            - ``weighted``: calculates statistics for each label and computes weighted average using their support
            - ``"none"`` or ``None``: calculates statistic for each label and applies no reduction

        multidim_average:
            Defines how additionally dimensions ``...`` should be handled. Should be one of the following:

            - ``global``: Additional dimensions are flatted along the batch dimension
            - ``samplewise``: Statistic will be calculated independently for each sample on the ``N`` axis.
              The statistics in this case are calculated over the additional dimensions.

        ignore_index:
            Specifies a target value that is ignored and does not contribute to the metric calculation
        validate_args: bool indicating if input arguments and tensors should be validated for correctness.
            Set to ``False`` for faster computations.

    Returns:
        The returned shape depends on the ``average`` and ``multidim_average`` arguments:

        - If ``multidim_average`` is set to ``global``:

          - If ``average='micro'/'macro'/'weighted'``, the output will be a scalar tensor
          - If ``average=None/'none'``, the shape will be ``(C,)``

        - If ``multidim_average`` is set to ``samplewise``:

          - If ``average='micro'/'macro'/'weighted'``, the shape will be ``(N,)``
          - If ``average=None/'none'``, the shape will be ``(N, C)``

    Example (preds is int tensor):
        >>> from torch import tensor
        >>> from torchmetrics.functional.classification import multilabel_recall
        >>> target = tensor([[0, 1, 0], [1, 0, 1]])
        >>> preds = tensor([[0, 0, 1], [1, 0, 1]])
        >>> multilabel_recall(preds, target, num_labels=3)
        tensor(0.6667)
        >>> multilabel_recall(preds, target, num_labels=3, average=None)
        tensor([1., 0., 1.])

    Example (preds is float tensor):
        >>> from torchmetrics.functional.classification import multilabel_recall
        >>> target = tensor([[0, 1, 0], [1, 0, 1]])
        >>> preds = tensor([[0.11, 0.22, 0.84], [0.73, 0.33, 0.92]])
        >>> multilabel_recall(preds, target, num_labels=3)
        tensor(0.6667)
        >>> multilabel_recall(preds, target, num_labels=3, average=None)
        tensor([1., 0., 1.])

    Example (multidim tensors):
        >>> from torchmetrics.functional.classification import multilabel_recall
        >>> target = tensor([[[0, 1], [1, 0], [0, 1]], [[1, 1], [0, 0], [1, 0]]])
        >>> preds = tensor([[[0.59, 0.91], [0.91, 0.99], [0.63, 0.04]],
        ...                 [[0.38, 0.04], [0.86, 0.780], [0.45, 0.37]]])
        >>> multilabel_recall(preds, target, num_labels=3, multidim_average='samplewise')
        tensor([0.6667, 0.0000])
        >>> multilabel_recall(preds, target, num_labels=3, multidim_average='samplewise', average=None)
        tensor([[1., 1., 0.],
                [0., 0., 0.]])
    """
    if validate_args:
        _multilabel_stat_scores_arg_validation(num_labels, threshold, average, multidim_average, ignore_index)
        _multilabel_stat_scores_tensor_validation(preds, target, num_labels, multidim_average, ignore_index)
    preds, target = _multilabel_stat_scores_format(preds, target, num_labels, threshold, ignore_index)
    tp, fp, tn, fn = _multilabel_stat_scores_update(preds, target, multidim_average)
    return _precision_recall_reduce(
        "recall", tp, fp, tn, fn, average=average, multidim_average=multidim_average, multilabel=True
    )


def precision(
    preds: Tensor,
    target: Tensor,
    task: Literal["binary", "multiclass", "multilabel"],
    threshold: float = 0.5,
    num_classes: Optional[int] = None,
    num_labels: Optional[int] = None,
    average: Optional[Literal["micro", "macro", "weighted", "none"]] = "micro",
    multidim_average: Optional[Literal["global", "samplewise"]] = "global",
    top_k: Optional[int] = 1,
    ignore_index: Optional[int] = None,
    validate_args: bool = True,
) -> Tensor:
    r"""Compute `Precision`_.

    .. math:: \text{Precision} = \frac{\text{TP}}{\text{TP} + \text{FP}}

    Where :math:`\text{TP}` and :math:`\text{FP}` represent the number of true positives and
    false positives respecitively.

    This function is a simple wrapper to get the task specific versions of this metric, which is done by setting the
    ``task`` argument to either ``'binary'``, ``'multiclass'`` or ``multilabel``. See the documentation of
    :func:`binary_precision`, :func:`multiclass_precision` and :func:`multilabel_precision` for the specific details of
    each argument influence and examples.

    Legacy Example:
        >>> from torch import tensor
        >>> preds  = tensor([2, 0, 2, 1])
        >>> target = tensor([1, 1, 2, 0])
        >>> precision(preds, target, task="multiclass", average='macro', num_classes=3)
        tensor(0.1667)
        >>> precision(preds, target, task="multiclass", average='micro', num_classes=3)
        tensor(0.2500)
    """
    assert multidim_average is not None  # noqa: S101  # needed for mypy
    if task == ClassificationTask.BINARY:
        return binary_precision(preds, target, threshold, multidim_average, ignore_index, validate_args)
    if task == ClassificationTask.MULTICLASS:
        if not isinstance(num_classes, int):
            raise ValueError(f"`num_classes` is expected to be `int` but `{type(num_classes)} was passed.`")
        if not isinstance(top_k, int):
            raise ValueError(f"`top_k` is expected to be `int` but `{type(top_k)} was passed.`")
        return multiclass_precision(
            preds, target, num_classes, average, top_k, multidim_average, ignore_index, validate_args
        )
    if task == ClassificationTask.MULTILABEL:
        if not isinstance(num_labels, int):
            raise ValueError(f"`num_labels` is expected to be `int` but `{type(num_labels)} was passed.`")
        return multilabel_precision(
            preds, target, num_labels, threshold, average, multidim_average, ignore_index, validate_args
        )
    raise ValueError(
        f"Expected argument `task` to either be `'binary'`, `'multiclass'` or `'multilabel'` but got {task}"
    )


def recall(
    preds: Tensor,
    target: Tensor,
    task: Literal["binary", "multiclass", "multilabel"],
    threshold: float = 0.5,
    num_classes: Optional[int] = None,
    num_labels: Optional[int] = None,
    average: Optional[Literal["micro", "macro", "weighted", "none"]] = "micro",
    multidim_average: Optional[Literal["global", "samplewise"]] = "global",
    top_k: Optional[int] = 1,
    ignore_index: Optional[int] = None,
    validate_args: bool = True,
) -> Tensor:
    r"""Compute `Recall`_.

    .. math:: \text{Recall} = \frac{\text{TP}}{\text{TP} + \text{FN}}

    Where :math:`\text{TP}` and :math:`\text{FN}` represent the number of true positives and
    false negatives respecitively.

    This function is a simple wrapper to get the task specific versions of this metric, which is done by setting the
    ``task`` argument to either ``'binary'``, ``'multiclass'`` or ``multilabel``. See the documentation of
    :func:`binary_recall`, :func:`multiclass_recall` and :func:`multilabel_recall` for the specific details of
    each argument influence and examples.

    Legacy Example:
        >>> from torch import tensor
        >>> preds  = tensor([2, 0, 2, 1])
        >>> target = tensor([1, 1, 2, 0])
        >>> recall(preds, target, task="multiclass", average='macro', num_classes=3)
        tensor(0.3333)
        >>> recall(preds, target, task="multiclass", average='micro', num_classes=3)
        tensor(0.2500)
    """
    task = ClassificationTask.from_str(task)
    assert multidim_average is not None  # noqa: S101  # needed for mypy
    if task == ClassificationTask.BINARY:
        return binary_recall(preds, target, threshold, multidim_average, ignore_index, validate_args)
    if task == ClassificationTask.MULTICLASS:
        if not isinstance(num_classes, int):
            raise ValueError(f"`num_classes` is expected to be `int` but `{type(num_classes)} was passed.`")
        if not isinstance(top_k, int):
            raise ValueError(f"`top_k` is expected to be `int` but `{type(top_k)} was passed.`")
        return multiclass_recall(
            preds, target, num_classes, average, top_k, multidim_average, ignore_index, validate_args
        )
    if task == ClassificationTask.MULTILABEL:
        if not isinstance(num_labels, int):
            raise ValueError(f"`num_labels` is expected to be `int` but `{type(num_labels)} was passed.`")
        return multilabel_recall(
            preds, target, num_labels, threshold, average, multidim_average, ignore_index, validate_args
        )
    raise ValueError(f"Not handled value: {task}")