# modified from https://github.com/rosinality/stylegan2-pytorch/blob/master/op/fused_act.py # noqa:E501 # Copyright (c) 2021, NVIDIA Corporation. All rights reserved. # NVIDIA Source Code License for StyleGAN2 with Adaptive Discriminator # Augmentation (ADA) # ======================================================================= # 1. 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If you bring or threaten to bring a patent claim # against any Licensor (including any claim, cross-claim or # counterclaim in a lawsuit) to enforce any patents that you allege # are infringed by any Work, then your rights under this License from # such Licensor (including the grant in Section 2.1) will terminate # immediately. # 3.5 Trademarks. This License does not grant any rights to use any # Licensor’s or its affiliates’ names, logos, or trademarks, except # as necessary to reproduce the notices described in this License. # 3.6 Termination. If you violate any term of this License, then your # rights under this License (including the grant in Section 2.1) will # terminate immediately. # 4. Disclaimer of Warranty. # THE WORK IS PROVIDED "AS IS" WITHOUT WARRANTIES OR CONDITIONS OF ANY # KIND, EITHER EXPRESS OR IMPLIED, INCLUDING WARRANTIES OR CONDITIONS OF # MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, TITLE OR # NON-INFRINGEMENT. YOU BEAR THE RISK OF UNDERTAKING ANY ACTIVITIES UNDER # THIS LICENSE. # 5. Limitation of Liability. # EXCEPT AS PROHIBITED BY APPLICABLE LAW, IN NO EVENT AND UNDER NO LEGAL # THEORY, WHETHER IN TORT (INCLUDING NEGLIGENCE), CONTRACT, OR OTHERWISE # SHALL ANY LICENSOR BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY DIRECT, # INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES ARISING OUT OF # OR RELATED TO THIS LICENSE, THE USE OR INABILITY TO USE THE WORK # (INCLUDING BUT NOT LIMITED TO LOSS OF GOODWILL, BUSINESS INTERRUPTION, # LOST PROFITS OR DATA, COMPUTER FAILURE OR MALFUNCTION, OR ANY OTHER # COMMERCIAL DAMAGES OR LOSSES), EVEN IF THE LICENSOR HAS BEEN ADVISED OF # THE POSSIBILITY OF SUCH DAMAGES. # ======================================================================= import torch import torch.nn.functional as F from torch import nn from torch.autograd import Function from ..utils import ext_loader ext_module = ext_loader.load_ext('_ext', ['fused_bias_leakyrelu']) class FusedBiasLeakyReLUFunctionBackward(Function): """Calculate second order deviation. This function is to compute the second order deviation for the fused leaky relu operation. """ @staticmethod def forward(ctx, grad_output, out, negative_slope, scale): ctx.save_for_backward(out) ctx.negative_slope = negative_slope ctx.scale = scale empty = grad_output.new_empty(0) grad_input = ext_module.fused_bias_leakyrelu( grad_output, empty, out, act=3, grad=1, alpha=negative_slope, scale=scale) dim = [0] if grad_input.ndim > 2: dim += list(range(2, grad_input.ndim)) grad_bias = grad_input.sum(dim).detach() return grad_input, grad_bias @staticmethod def backward(ctx, gradgrad_input, gradgrad_bias): out, = ctx.saved_tensors # The second order deviation, in fact, contains two parts, while the # the first part is zero. Thus, we direct consider the second part # which is similar with the first order deviation in implementation. gradgrad_out = ext_module.fused_bias_leakyrelu( gradgrad_input, gradgrad_bias.to(out.dtype), out, act=3, grad=1, alpha=ctx.negative_slope, scale=ctx.scale) return gradgrad_out, None, None, None class FusedBiasLeakyReLUFunction(Function): @staticmethod def forward(ctx, input, bias, negative_slope, scale): empty = input.new_empty(0) out = ext_module.fused_bias_leakyrelu( input, bias, empty, act=3, grad=0, alpha=negative_slope, scale=scale) ctx.save_for_backward(out) ctx.negative_slope = negative_slope ctx.scale = scale return out @staticmethod def backward(ctx, grad_output): out, = ctx.saved_tensors grad_input, grad_bias = FusedBiasLeakyReLUFunctionBackward.apply( grad_output, out, ctx.negative_slope, ctx.scale) return grad_input, grad_bias, None, None class FusedBiasLeakyReLU(nn.Module): """Fused bias leaky ReLU. This function is introduced in the StyleGAN2: http://arxiv.org/abs/1912.04958 The bias term comes from the convolution operation. In addition, to keep the variance of the feature map or gradients unchanged, they also adopt a scale similarly with Kaiming initialization. However, since the :math:`1+{alpha}^2` : is too small, we can just ignore it. Therefore, the final scale is just :math:`\sqrt{2}`:. Of course, you may change it with # noqa: W605, E501 your own scale. TODO: Implement the CPU version. Args: channel (int): The channel number of the feature map. negative_slope (float, optional): Same as nn.LeakyRelu. Defaults to 0.2. scale (float, optional): A scalar to adjust the variance of the feature map. Defaults to 2**0.5. """ def __init__(self, num_channels, negative_slope=0.2, scale=2**0.5): super(FusedBiasLeakyReLU, self).__init__() self.bias = nn.Parameter(torch.zeros(num_channels)) self.negative_slope = negative_slope self.scale = scale def forward(self, input): return fused_bias_leakyrelu(input, self.bias, self.negative_slope, self.scale) def fused_bias_leakyrelu(input, bias, negative_slope=0.2, scale=2**0.5): """Fused bias leaky ReLU function. This function is introduced in the StyleGAN2: http://arxiv.org/abs/1912.04958 The bias term comes from the convolution operation. In addition, to keep the variance of the feature map or gradients unchanged, they also adopt a scale similarly with Kaiming initialization. However, since the :math:`1+{alpha}^2` : is too small, we can just ignore it. Therefore, the final scale is just :math:`\sqrt{2}`:. Of course, you may change it with # noqa: W605, E501 your own scale. Args: input (torch.Tensor): Input feature map. bias (nn.Parameter): The bias from convolution operation. negative_slope (float, optional): Same as nn.LeakyRelu. Defaults to 0.2. scale (float, optional): A scalar to adjust the variance of the feature map. Defaults to 2**0.5. Returns: torch.Tensor: Feature map after non-linear activation. """ if not input.is_cuda: return bias_leakyrelu_ref(input, bias, negative_slope, scale) return FusedBiasLeakyReLUFunction.apply(input, bias.to(input.dtype), negative_slope, scale) def bias_leakyrelu_ref(x, bias, negative_slope=0.2, scale=2**0.5): if bias is not None: assert bias.ndim == 1 assert bias.shape[0] == x.shape[1] x = x + bias.reshape([-1 if i == 1 else 1 for i in range(x.ndim)]) x = F.leaky_relu(x, negative_slope) if scale != 1: x = x * scale return x