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import math
import torch
from torch import autograd as autograd
from torch import nn as nn
from torch.nn import functional as F

from r_basicsr.utils.registry import LOSS_REGISTRY


@LOSS_REGISTRY.register()
class GANLoss(nn.Module):
    """Define GAN loss.

    Args:
        gan_type (str): Support 'vanilla', 'lsgan', 'wgan', 'hinge'.
        real_label_val (float): The value for real label. Default: 1.0.
        fake_label_val (float): The value for fake label. Default: 0.0.
        loss_weight (float): Loss weight. Default: 1.0.
            Note that loss_weight is only for generators; and it is always 1.0
            for discriminators.
    """

    def __init__(self, gan_type, real_label_val=1.0, fake_label_val=0.0, loss_weight=1.0):
        super(GANLoss, self).__init__()
        self.gan_type = gan_type
        self.loss_weight = loss_weight
        self.real_label_val = real_label_val
        self.fake_label_val = fake_label_val

        if self.gan_type == 'vanilla':
            self.loss = nn.BCEWithLogitsLoss()
        elif self.gan_type == 'lsgan':
            self.loss = nn.MSELoss()
        elif self.gan_type == 'wgan':
            self.loss = self._wgan_loss
        elif self.gan_type == 'wgan_softplus':
            self.loss = self._wgan_softplus_loss
        elif self.gan_type == 'hinge':
            self.loss = nn.ReLU()
        else:
            raise NotImplementedError(f'GAN type {self.gan_type} is not implemented.')

    def _wgan_loss(self, input, target):
        """wgan loss.

        Args:
            input (Tensor): Input tensor.
            target (bool): Target label.

        Returns:
            Tensor: wgan loss.
        """
        return -input.mean() if target else input.mean()

    def _wgan_softplus_loss(self, input, target):
        """wgan loss with soft plus. softplus is a smooth approximation to the
        ReLU function.

        In StyleGAN2, it is called:
            Logistic loss for discriminator;
            Non-saturating loss for generator.

        Args:
            input (Tensor): Input tensor.
            target (bool): Target label.

        Returns:
            Tensor: wgan loss.
        """
        return F.softplus(-input).mean() if target else F.softplus(input).mean()

    def get_target_label(self, input, target_is_real):
        """Get target label.

        Args:
            input (Tensor): Input tensor.
            target_is_real (bool): Whether the target is real or fake.

        Returns:
            (bool | Tensor): Target tensor. Return bool for wgan, otherwise,
                return Tensor.
        """

        if self.gan_type in ['wgan', 'wgan_softplus']:
            return target_is_real
        target_val = (self.real_label_val if target_is_real else self.fake_label_val)
        return input.new_ones(input.size()) * target_val

    def forward(self, input, target_is_real, is_disc=False):
        """
        Args:
            input (Tensor): The input for the loss module, i.e., the network
                prediction.
            target_is_real (bool): Whether the targe is real or fake.
            is_disc (bool): Whether the loss for discriminators or not.
                Default: False.

        Returns:
            Tensor: GAN loss value.
        """
        target_label = self.get_target_label(input, target_is_real)
        if self.gan_type == 'hinge':
            if is_disc:  # for discriminators in hinge-gan
                input = -input if target_is_real else input
                loss = self.loss(1 + input).mean()
            else:  # for generators in hinge-gan
                loss = -input.mean()
        else:  # other gan types
            loss = self.loss(input, target_label)

        # loss_weight is always 1.0 for discriminators
        return loss if is_disc else loss * self.loss_weight


@LOSS_REGISTRY.register()
class MultiScaleGANLoss(GANLoss):
    """
    MultiScaleGANLoss accepts a list of predictions
    """

    def __init__(self, gan_type, real_label_val=1.0, fake_label_val=0.0, loss_weight=1.0):
        super(MultiScaleGANLoss, self).__init__(gan_type, real_label_val, fake_label_val, loss_weight)

    def forward(self, input, target_is_real, is_disc=False):
        """
        The input is a list of tensors, or a list of (a list of tensors)
        """
        if isinstance(input, list):
            loss = 0
            for pred_i in input:
                if isinstance(pred_i, list):
                    # Only compute GAN loss for the last layer
                    # in case of multiscale feature matching
                    pred_i = pred_i[-1]
                # Safe operation: 0-dim tensor calling self.mean() does nothing
                loss_tensor = super().forward(pred_i, target_is_real, is_disc).mean()
                loss += loss_tensor
            return loss / len(input)
        else:
            return super().forward(input, target_is_real, is_disc)


def r1_penalty(real_pred, real_img):
    """R1 regularization for discriminator. The core idea is to
        penalize the gradient on real data alone: when the
        generator distribution produces the true data distribution
        and the discriminator is equal to 0 on the data manifold, the
        gradient penalty ensures that the discriminator cannot create
        a non-zero gradient orthogonal to the data manifold without
        suffering a loss in the GAN game.

        Ref:
        Eq. 9 in Which training methods for GANs do actually converge.
        """
    grad_real = autograd.grad(outputs=real_pred.sum(), inputs=real_img, create_graph=True)[0]
    grad_penalty = grad_real.pow(2).view(grad_real.shape[0], -1).sum(1).mean()
    return grad_penalty


def g_path_regularize(fake_img, latents, mean_path_length, decay=0.01):
    noise = torch.randn_like(fake_img) / math.sqrt(fake_img.shape[2] * fake_img.shape[3])
    grad = autograd.grad(outputs=(fake_img * noise).sum(), inputs=latents, create_graph=True)[0]
    path_lengths = torch.sqrt(grad.pow(2).sum(2).mean(1))

    path_mean = mean_path_length + decay * (path_lengths.mean() - mean_path_length)

    path_penalty = (path_lengths - path_mean).pow(2).mean()

    return path_penalty, path_lengths.detach().mean(), path_mean.detach()


def gradient_penalty_loss(discriminator, real_data, fake_data, weight=None):
    """Calculate gradient penalty for wgan-gp.

    Args:
        discriminator (nn.Module): Network for the discriminator.
        real_data (Tensor): Real input data.
        fake_data (Tensor): Fake input data.
        weight (Tensor): Weight tensor. Default: None.

    Returns:
        Tensor: A tensor for gradient penalty.
    """

    batch_size = real_data.size(0)
    alpha = real_data.new_tensor(torch.rand(batch_size, 1, 1, 1))

    # interpolate between real_data and fake_data
    interpolates = alpha * real_data + (1. - alpha) * fake_data
    interpolates = autograd.Variable(interpolates, requires_grad=True)

    disc_interpolates = discriminator(interpolates)
    gradients = autograd.grad(
        outputs=disc_interpolates,
        inputs=interpolates,
        grad_outputs=torch.ones_like(disc_interpolates),
        create_graph=True,
        retain_graph=True,
        only_inputs=True)[0]

    if weight is not None:
        gradients = gradients * weight

    gradients_penalty = ((gradients.norm(2, dim=1) - 1)**2).mean()
    if weight is not None:
        gradients_penalty /= torch.mean(weight)

    return gradients_penalty