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| from typing import Optional, Union |
|
|
| import torch |
| from torch import Tensor, tensor |
| from typing_extensions import Literal |
|
|
| from torchmetrics.utilities import rank_zero_warn, reduce |
|
|
|
|
| def _psnr_compute( |
| sum_squared_error: Tensor, |
| num_obs: Tensor, |
| data_range: Tensor, |
| base: float = 10.0, |
| reduction: Literal["elementwise_mean", "sum", "none", None] = "elementwise_mean", |
| ) -> Tensor: |
| """Compute peak signal-to-noise ratio. |
| |
| Args: |
| sum_squared_error: Sum of square of errors over all observations |
| num_obs: Number of predictions or observations |
| data_range: the range of the data. If None, it is determined from the data (max - min). |
| ``data_range`` must be given when ``dim`` is not None. |
| base: a base of a logarithm to use |
| reduction: a method to reduce metric score over labels. |
| |
| - ``'elementwise_mean'``: takes the mean (default) |
| - ``'sum'``: takes the sum |
| - ``'none'`` or ``None``: no reduction will be applied |
| |
| Example: |
| >>> preds = torch.tensor([[0.0, 1.0], [2.0, 3.0]]) |
| >>> target = torch.tensor([[3.0, 2.0], [1.0, 0.0]]) |
| >>> data_range = target.max() - target.min() |
| >>> sum_squared_error, num_obs = _psnr_update(preds, target) |
| >>> _psnr_compute(sum_squared_error, num_obs, data_range) |
| tensor(2.5527) |
| |
| """ |
| psnr_base_e = 2 * torch.log(data_range) - torch.log(sum_squared_error / num_obs) |
| psnr_vals = psnr_base_e * (10 / torch.log(tensor(base))) |
| return reduce(psnr_vals, reduction=reduction) |
|
|
|
|
| def _psnr_update( |
| preds: Tensor, |
| target: Tensor, |
| dim: Optional[Union[int, tuple[int, ...]]] = None, |
| ) -> tuple[Tensor, Tensor]: |
| """Update and return variables required to compute peak signal-to-noise ratio. |
| |
| Args: |
| preds: Predicted tensor |
| target: Ground truth tensor |
| dim: Dimensions to reduce PSNR scores over provided as either an integer or a list of integers. |
| Default is None meaning scores will be reduced across all dimensions. |
| |
| """ |
| if not preds.is_floating_point(): |
| preds = preds.to(torch.float32) |
| if not target.is_floating_point(): |
| target = target.to(torch.float32) |
|
|
| if dim is None: |
| sum_squared_error = torch.sum(torch.pow(preds - target, 2)) |
| num_obs = tensor(target.numel(), device=target.device) |
| return sum_squared_error, num_obs |
|
|
| diff = preds - target |
| sum_squared_error = torch.sum(diff * diff, dim=dim) |
|
|
| dim_list = [dim] if isinstance(dim, int) else list(dim) |
| if not dim_list: |
| num_obs = tensor(target.numel(), device=target.device) |
| else: |
| num_obs = tensor(target.size(), device=target.device)[dim_list].prod() |
| num_obs = num_obs.expand_as(sum_squared_error) |
|
|
| return sum_squared_error, num_obs |
|
|
|
|
| def peak_signal_noise_ratio( |
| preds: Tensor, |
| target: Tensor, |
| data_range: Optional[Union[float, tuple[float, float]]] = None, |
| base: float = 10.0, |
| reduction: Literal["elementwise_mean", "sum", "none", None] = "elementwise_mean", |
| dim: Optional[Union[int, tuple[int, ...]]] = None, |
| ) -> Tensor: |
| """Compute the peak signal-to-noise ratio. |
| |
| Args: |
| preds: estimated signal |
| target: groun truth signal |
| data_range: |
| the range of the data. If None, it is determined from the data (max - min). If a tuple is provided then |
| the range is calculated as the difference and input is clamped between the values. |
| The ``data_range`` must be given when ``dim`` is not None. |
| base: a base of a logarithm to use |
| reduction: a method to reduce metric score over labels. |
| |
| - ``'elementwise_mean'``: takes the mean (default) |
| - ``'sum'``: takes the sum |
| - ``'none'`` or None``: no reduction will be applied |
| |
| dim: |
| Dimensions to reduce PSNR scores over provided as either an integer or a list of integers. Default is |
| None meaning scores will be reduced across all dimensions. |
| |
| Return: |
| Tensor with PSNR score |
| |
| Raises: |
| ValueError: |
| If ``dim`` is not ``None`` and ``data_range`` is not provided. |
| |
| Example: |
| >>> from torchmetrics.functional.image import peak_signal_noise_ratio |
| >>> pred = torch.tensor([[0.0, 1.0], [2.0, 3.0]]) |
| >>> target = torch.tensor([[3.0, 2.0], [1.0, 0.0]]) |
| >>> peak_signal_noise_ratio(pred, target) |
| tensor(2.5527) |
| |
| .. attention:: |
| Half precision is only support on GPU for this metric. |
| |
| """ |
| if dim is None and reduction != "elementwise_mean": |
| rank_zero_warn(f"The `reduction={reduction}` will not have any effect when `dim` is None.") |
|
|
| if data_range is None: |
| if dim is not None: |
| |
| |
| raise ValueError("The `data_range` must be given when `dim` is not None.") |
|
|
| data_range = target.max() - target.min() |
| elif isinstance(data_range, tuple): |
| preds = torch.clamp(preds, min=data_range[0], max=data_range[1]) |
| target = torch.clamp(target, min=data_range[0], max=data_range[1]) |
| data_range = tensor(data_range[1] - data_range[0]) |
| else: |
| data_range = tensor(float(data_range)) |
|
|
| sum_squared_error, num_obs = _psnr_update(preds, target, dim=dim) |
| return _psnr_compute(sum_squared_error, num_obs, data_range, base=base, reduction=reduction) |
|
|