# SPDX-FileCopyrightText: Copyright (c) 2021-2022 NVIDIA CORPORATION & AFFILIATES. All rights reserved. # SPDX-License-Identifier: LicenseRef-NvidiaProprietary # # NVIDIA CORPORATION, its affiliates and licensors retain all intellectual # property and proprietary rights in and to this material, related # documentation and any modifications thereto. Any use, reproduction, # disclosure or distribution of this material and related documentation # without an express license agreement from NVIDIA CORPORATION or # its affiliates is strictly prohibited. """Custom replacement for `torch.nn.functional.conv2d` that supports arbitrarily high order gradients with zero performance penalty.""" import contextlib import torch from pdb import set_trace as st import traceback # pylint: disable=redefined-builtin # pylint: disable=arguments-differ # pylint: disable=protected-access #---------------------------------------------------------------------------- enabled = False # Enable the custom op by setting this to true. weight_gradients_disabled = False # Forcefully disable computation of gradients with respect to the weights. @contextlib.contextmanager def no_weight_gradients(disable=True): global weight_gradients_disabled old = weight_gradients_disabled if disable: weight_gradients_disabled = True yield weight_gradients_disabled = old #---------------------------------------------------------------------------- def conv2d(input, weight, bias=None, stride=1, padding=0, dilation=1, groups=1): if _should_use_custom_op(input): return _conv2d_gradfix(transpose=False, weight_shape=weight.shape, stride=stride, padding=padding, output_padding=0, dilation=dilation, groups=groups).apply(input, weight, bias) return torch.nn.functional.conv2d(input=input, weight=weight, bias=bias, stride=stride, padding=padding, dilation=dilation, groups=groups) def conv_transpose2d(input, weight, bias=None, stride=1, padding=0, output_padding=0, groups=1, dilation=1): if _should_use_custom_op(input): return _conv2d_gradfix(transpose=True, weight_shape=weight.shape, stride=stride, padding=padding, output_padding=output_padding, groups=groups, dilation=dilation).apply(input, weight, bias) return torch.nn.functional.conv_transpose2d(input=input, weight=weight, bias=bias, stride=stride, padding=padding, output_padding=output_padding, groups=groups, dilation=dilation) #---------------------------------------------------------------------------- def _should_use_custom_op(input): assert isinstance(input, torch.Tensor) if (not enabled) or (not torch.backends.cudnn.enabled): return False if input.device.type != 'cuda': return False return True def _tuple_of_ints(xs, ndim): xs = tuple(xs) if isinstance(xs, (tuple, list)) else (xs, ) * ndim assert len(xs) == ndim assert all(isinstance(x, int) for x in xs) return xs #---------------------------------------------------------------------------- _conv2d_gradfix_cache = dict() _null_tensor = torch.empty([0]) def _conv2d_gradfix(transpose, weight_shape, stride, padding, output_padding, dilation, groups): # Parse arguments. ndim = 2 weight_shape = tuple(weight_shape) stride = _tuple_of_ints(stride, ndim) padding = _tuple_of_ints(padding, ndim) output_padding = _tuple_of_ints(output_padding, ndim) dilation = _tuple_of_ints(dilation, ndim) # Lookup from cache. key = (transpose, weight_shape, stride, padding, output_padding, dilation, groups) if key in _conv2d_gradfix_cache: return _conv2d_gradfix_cache[key] # Validate arguments. assert groups >= 1 assert len(weight_shape) == ndim + 2 assert all(stride[i] >= 1 for i in range(ndim)) assert all(padding[i] >= 0 for i in range(ndim)) assert all(dilation[i] >= 0 for i in range(ndim)) if not transpose: assert all(output_padding[i] == 0 for i in range(ndim)) else: # transpose assert all(0 <= output_padding[i] < max(stride[i], dilation[i]) for i in range(ndim)) # Helpers. common_kwargs = dict(stride=stride, padding=padding, dilation=dilation, groups=groups) def calc_output_padding(input_shape, output_shape): if transpose: return [0, 0] return [ input_shape[i + 2] - (output_shape[i + 2] - 1) * stride[i] - (1 - 2 * padding[i]) - dilation[i] * (weight_shape[i + 2] - 1) for i in range(ndim) ] # Forward & backward. class Conv2d(torch.autograd.Function): @staticmethod def forward(ctx, input, weight, bias): assert weight.shape == weight_shape ctx.save_for_backward( input if weight.requires_grad else _null_tensor, weight if input.requires_grad else _null_tensor, ) ctx.input_shape = input.shape # Simple 1x1 convolution => cuBLAS (only on Volta, not on Ampere). if weight_shape[2:] == stride == dilation == ( 1, 1) and padding == ( 0, 0) and torch.cuda.get_device_capability( input.device) < (8, 0): a = weight.reshape(groups, weight_shape[0] // groups, weight_shape[1]) b = input.reshape(input.shape[0], groups, input.shape[1] // groups, -1) c = (a.transpose(1, 2) if transpose else a) @ b.permute( 1, 2, 0, 3).flatten(2) c = c.reshape(-1, input.shape[0], *input.shape[2:]).transpose(0, 1) c = c if bias is None else c + bias.unsqueeze(0).unsqueeze( 2).unsqueeze(3) return c.contiguous( memory_format=(torch.channels_last if input.stride(1) == 1 else torch.contiguous_format)) # General case => cuDNN. if transpose: return torch.nn.functional.conv_transpose2d( input=input, weight=weight, bias=bias, output_padding=output_padding, **common_kwargs) return torch.nn.functional.conv2d(input=input, weight=weight, bias=bias, **common_kwargs) @staticmethod def backward(ctx, grad_output): input, weight = ctx.saved_tensors input_shape = ctx.input_shape grad_input = None grad_weight = None grad_bias = None if ctx.needs_input_grad[0]: p = calc_output_padding(input_shape=input_shape, output_shape=grad_output.shape) op = _conv2d_gradfix(transpose=(not transpose), weight_shape=weight_shape, output_padding=p, **common_kwargs) grad_input = op.apply(grad_output, weight, None) assert grad_input.shape == input_shape if ctx.needs_input_grad[1] and not weight_gradients_disabled: grad_weight = Conv2dGradWeight.apply(grad_output, input, weight) assert grad_weight.shape == weight_shape if ctx.needs_input_grad[2]: grad_bias = grad_output.sum([0, 2, 3]) return grad_input, grad_weight, grad_bias # Gradient with respect to the weights. class Conv2dGradWeight(torch.autograd.Function): @staticmethod def forward(ctx, grad_output, input, weight): ctx.save_for_backward( grad_output if input.requires_grad else _null_tensor, input if grad_output.requires_grad else _null_tensor, ) ctx.grad_output_shape = grad_output.shape ctx.input_shape = input.shape # Simple 1x1 convolution => cuBLAS (on both Volta and Ampere). if weight_shape[2:] == stride == dilation == ( 1, 1) and padding == (0, 0): a = grad_output.reshape(grad_output.shape[0], groups, grad_output.shape[1] // groups, -1).permute(1, 2, 0, 3).flatten(2) b = input.reshape(input.shape[0], groups, input.shape[1] // groups, -1).permute(1, 2, 0, 3).flatten(2) c = (b @ a.transpose(1, 2) if transpose else a @ b.transpose(1, 2)).reshape(weight_shape) return c.contiguous( memory_format=(torch.channels_last if input.stride(1) == 1 else torch.contiguous_format)) # General case => cuDNN. # print(input.device, weight.device, flush=True) # for line in traceback.format_stack(): # print(line.strip(), flush=True) return torch.ops.aten.convolution_backward( grad_output=grad_output, input=input, weight=weight, bias_sizes=None, stride=stride, padding=padding, dilation=dilation, transposed=transpose, output_padding=output_padding, groups=groups, output_mask=[False, True, False])[1] @staticmethod def backward(ctx, grad2_grad_weight): grad_output, input = ctx.saved_tensors grad_output_shape = ctx.grad_output_shape input_shape = ctx.input_shape grad2_grad_output = None grad2_input = None if ctx.needs_input_grad[0]: grad2_grad_output = Conv2d.apply(input, grad2_grad_weight, None) assert grad2_grad_output.shape == grad_output_shape if ctx.needs_input_grad[1]: p = calc_output_padding(input_shape=input_shape, output_shape=grad_output_shape) op = _conv2d_gradfix(transpose=(not transpose), weight_shape=weight_shape, output_padding=p, **common_kwargs) grad2_input = op.apply(grad_output, grad2_grad_weight, None) assert grad2_input.shape == input_shape return grad2_grad_output, grad2_input _conv2d_gradfix_cache[key] = Conv2d return Conv2d #----------------------------------------------------------------------------