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"""
adopted from
https://github.com/openai/improved-diffusion/blob/main/improved_diffusion/gaussian_diffusion.py
and
https://github.com/lucidrains/denoising-diffusion-pytorch/blob/7706bdfc6f527f58d33f84b7b522e61e6e3164b3/denoising_diffusion_pytorch/denoising_diffusion_pytorch.py
and
https://github.com/openai/guided-diffusion/blob/0ba878e517b276c45d1195eb29f6f5f72659a05b/guided_diffusion/nn.py
thanks!
"""
import math
import torch
import torch.nn as nn
from einops import repeat
def make_beta_schedule(
schedule,
n_timestep,
linear_start=1e-4,
linear_end=2e-2,
):
if schedule == "linear":
betas = (
torch.linspace(
linear_start**0.5, linear_end**0.5, n_timestep, dtype=torch.float64
)
** 2
)
return betas.numpy()
def extract_into_tensor(a, t, x_shape):
b, *_ = t.shape
out = a.gather(-1, t)
return out.reshape(b, *((1,) * (len(x_shape) - 1)))
def mixed_checkpoint(func, inputs: dict, params, flag):
"""
Evaluate a function without caching intermediate activations, allowing for
reduced memory at the expense of extra compute in the backward pass. This differs from the original checkpoint function
borrowed from https://github.com/openai/guided-diffusion/blob/0ba878e517b276c45d1195eb29f6f5f72659a05b/guided_diffusion/nn.py in that
it also works with non-tensor inputs
:param func: the function to evaluate.
:param inputs: the argument dictionary to pass to `func`.
:param params: a sequence of parameters `func` depends on but does not
explicitly take as arguments.
:param flag: if False, disable gradient checkpointing.
"""
if flag:
tensor_keys = [key for key in inputs if isinstance(inputs[key], torch.Tensor)]
tensor_inputs = [
inputs[key] for key in inputs if isinstance(inputs[key], torch.Tensor)
]
non_tensor_keys = [
key for key in inputs if not isinstance(inputs[key], torch.Tensor)
]
non_tensor_inputs = [
inputs[key] for key in inputs if not isinstance(inputs[key], torch.Tensor)
]
args = tuple(tensor_inputs) + tuple(non_tensor_inputs) + tuple(params)
return MixedCheckpointFunction.apply(
func,
len(tensor_inputs),
len(non_tensor_inputs),
tensor_keys,
non_tensor_keys,
*args,
)
else:
return func(**inputs)
class MixedCheckpointFunction(torch.autograd.Function):
@staticmethod
def forward(
ctx,
run_function,
length_tensors,
length_non_tensors,
tensor_keys,
non_tensor_keys,
*args,
):
ctx.end_tensors = length_tensors
ctx.end_non_tensors = length_tensors + length_non_tensors
ctx.gpu_autocast_kwargs = {
"enabled": torch.is_autocast_enabled(),
"dtype": torch.get_autocast_gpu_dtype(),
"cache_enabled": torch.is_autocast_cache_enabled(),
}
assert (
len(tensor_keys) == length_tensors
and len(non_tensor_keys) == length_non_tensors
)
ctx.input_tensors = {
key: val for (key, val) in zip(tensor_keys, list(args[: ctx.end_tensors]))
}
ctx.input_non_tensors = {
key: val
for (key, val) in zip(
non_tensor_keys, list(args[ctx.end_tensors : ctx.end_non_tensors])
)
}
ctx.run_function = run_function
ctx.input_params = list(args[ctx.end_non_tensors :])
with torch.no_grad():
output_tensors = ctx.run_function(
**ctx.input_tensors, **ctx.input_non_tensors
)
return output_tensors
@staticmethod
def backward(ctx, *output_grads):
# additional_args = {key: ctx.input_tensors[key] for key in ctx.input_tensors if not isinstance(ctx.input_tensors[key],torch.Tensor)}
ctx.input_tensors = {
key: ctx.input_tensors[key].detach().requires_grad_(True)
for key in ctx.input_tensors
}
with torch.enable_grad(), torch.cuda.amp.autocast(**ctx.gpu_autocast_kwargs):
# Fixes a bug where the first op in run_function modifies the
# Tensor storage in place, which is not allowed for detach()'d
# Tensors.
shallow_copies = {
key: ctx.input_tensors[key].view_as(ctx.input_tensors[key])
for key in ctx.input_tensors
}
# shallow_copies.update(additional_args)
output_tensors = ctx.run_function(**shallow_copies, **ctx.input_non_tensors)
input_grads = torch.autograd.grad(
output_tensors,
list(ctx.input_tensors.values()) + ctx.input_params,
output_grads,
allow_unused=True,
)
del ctx.input_tensors
del ctx.input_params
del output_tensors
return (
(None, None, None, None, None)
+ input_grads[: ctx.end_tensors]
+ (None,) * (ctx.end_non_tensors - ctx.end_tensors)
+ input_grads[ctx.end_tensors :]
)
def checkpoint(func, inputs, params, flag):
"""
Evaluate a function without caching intermediate activations, allowing for
reduced memory at the expense of extra compute in the backward pass.
:param func: the function to evaluate.
:param inputs: the argument sequence to pass to `func`.
:param params: a sequence of parameters `func` depends on but does not
explicitly take as arguments.
:param flag: if False, disable gradient checkpointing.
"""
if flag:
args = tuple(inputs) + tuple(params)
return CheckpointFunction.apply(func, len(inputs), *args)
else:
return func(*inputs)
class CheckpointFunction(torch.autograd.Function):
@staticmethod
def forward(ctx, run_function, length, *args):
ctx.run_function = run_function
ctx.input_tensors = list(args[:length])
ctx.input_params = list(args[length:])
ctx.gpu_autocast_kwargs = {
"enabled": torch.is_autocast_enabled(),
"dtype": torch.get_autocast_gpu_dtype(),
"cache_enabled": torch.is_autocast_cache_enabled(),
}
with torch.no_grad():
output_tensors = ctx.run_function(*ctx.input_tensors)
return output_tensors
@staticmethod
def backward(ctx, *output_grads):
ctx.input_tensors = [x.detach().requires_grad_(True) for x in ctx.input_tensors]
with torch.enable_grad(), torch.cuda.amp.autocast(**ctx.gpu_autocast_kwargs):
# Fixes a bug where the first op in run_function modifies the
# Tensor storage in place, which is not allowed for detach()'d
# Tensors.
shallow_copies = [x.view_as(x) for x in ctx.input_tensors]
output_tensors = ctx.run_function(*shallow_copies)
input_grads = torch.autograd.grad(
output_tensors,
ctx.input_tensors + ctx.input_params,
output_grads,
allow_unused=True,
)
del ctx.input_tensors
del ctx.input_params
del output_tensors
return (None, None) + input_grads
def timestep_embedding(timesteps, dim, max_period=10000, repeat_only=False):
"""
Create sinusoidal timestep embeddings.
:param timesteps: a 1-D Tensor of N indices, one per batch element.
These may be fractional.
:param dim: the dimension of the output.
:param max_period: controls the minimum frequency of the embeddings.
:return: an [N x dim] Tensor of positional embeddings.
"""
if not repeat_only:
half = dim // 2
freqs = torch.exp(
-math.log(max_period)
* torch.arange(start=0, end=half, dtype=torch.float32)
/ half
).to(device=timesteps.device)
args = timesteps[:, None].float() * freqs[None]
embedding = torch.cat([torch.cos(args), torch.sin(args)], dim=-1)
if dim % 2:
embedding = torch.cat(
[embedding, torch.zeros_like(embedding[:, :1])], dim=-1
)
else:
embedding = repeat(timesteps, "b -> b d", d=dim)
return embedding
def zero_module(module):
"""
Zero out the parameters of a module and return it.
"""
for p in module.parameters():
p.detach().zero_()
return module
def scale_module(module, scale):
"""
Scale the parameters of a module and return it.
"""
for p in module.parameters():
p.detach().mul_(scale)
return module
def mean_flat(tensor):
"""
Take the mean over all non-batch dimensions.
"""
return tensor.mean(dim=list(range(1, len(tensor.shape))))
def normalization(channels):
"""
Make a standard normalization layer.
:param channels: number of input channels.
:return: an nn.Module for normalization.
"""
return GroupNorm32(32, channels)
# PyTorch 1.7 has SiLU, but we support PyTorch 1.5.
class SiLU(nn.Module):
def forward(self, x):
return x * torch.sigmoid(x)
class GroupNorm32(nn.GroupNorm):
def forward(self, x):
return super().forward(x.float()).type(x.dtype)
def conv_nd(dims, *args, **kwargs):
"""
Create a 1D, 2D, or 3D convolution module.
"""
if dims == 1:
return nn.Conv1d(*args, **kwargs)
elif dims == 2:
return nn.Conv2d(*args, **kwargs)
elif dims == 3:
return nn.Conv3d(*args, **kwargs)
raise ValueError(f"unsupported dimensions: {dims}")
def linear(*args, **kwargs):
"""
Create a linear module.
"""
return nn.Linear(*args, **kwargs)
def avg_pool_nd(dims, *args, **kwargs):
"""
Create a 1D, 2D, or 3D average pooling module.
"""
if dims == 1:
return nn.AvgPool1d(*args, **kwargs)
elif dims == 2:
return nn.AvgPool2d(*args, **kwargs)
elif dims == 3:
return nn.AvgPool3d(*args, **kwargs)
raise ValueError(f"unsupported dimensions: {dims}")
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