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import math | |
from abc import abstractmethod | |
import numpy as np | |
import torch | |
import torch as th | |
import torch.nn as nn | |
import torch.nn.functional as F | |
from einops import repeat | |
from models.attention import SpatialTransformer | |
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 | |
class TimestepBlock(nn.Module): | |
def forward(self, x, emb): | |
""" | |
Apply the module to `x` given `emb` timestep embeddings. | |
""" | |
class TimestepEmbedSequential(nn.Sequential, TimestepBlock): | |
""" | |
A sequential module that passes timestep embeddings to the children that | |
support it as an extra input. | |
""" | |
def forward(self, x, emb, context=None): | |
for layer in self: | |
if isinstance(layer, TimestepBlock): | |
x = layer(x, emb) | |
elif isinstance(layer, SpatialTransformer): | |
x = layer(x, context) | |
else: | |
x = layer(x) | |
return x | |
def Normalize(in_channels): | |
return nn.GroupNorm( | |
num_groups=32, | |
num_channels=in_channels, | |
eps=1e-6, | |
affine=True | |
) | |
def count_flops_attn(model, _x, y): | |
""" | |
A counter for the `thop` package to count the operations in an | |
attention operation. | |
Meant to be used like: | |
macs, params = thop.profile( | |
model, | |
inputs=(inputs, timestamps), | |
custom_ops={QKVAttention: QKVAttention.count_flops}, | |
) | |
""" | |
b, c, *spatial = y[0].shape | |
num_spatial = int(np.prod(spatial)) | |
# We perform two matmuls with the same number of ops. | |
# The first computes the weight matrix, the second computes | |
# the combination of the value vectors. | |
matmul_ops = 2 * b * (num_spatial ** 2) * c | |
model.total_ops += th.DoubleTensor([matmul_ops]) | |
class QKVAttentionLegacy(nn.Module): | |
""" | |
A module which performs QKV attention. Matches legacy QKVAttention + input/ouput heads shaping | |
""" | |
def __init__(self, n_heads): | |
super().__init__() | |
self.n_heads = n_heads | |
def forward(self, qkv): | |
""" | |
Apply QKV attention. | |
:param qkv: an [N x (H * 3 * C) x T] tensor of Qs, Ks, and Vs. | |
:return: an [N x (H * C) x T] tensor after attention. | |
""" | |
bs, width, length = qkv.shape | |
assert width % (3 * self.n_heads) == 0 | |
ch = width // (3 * self.n_heads) | |
q, k, v = qkv.reshape(bs * self.n_heads, ch * 3, length).split(ch, dim=1) | |
scale = 1 / math.sqrt(math.sqrt(ch)) | |
weight = th.einsum( | |
"bct,bcs->bts", q * scale, k * scale | |
) # More stable with f16 than dividing afterwards | |
weight = th.softmax(weight.float(), dim=-1).type(weight.dtype) | |
a = th.einsum("bts,bcs->bct", weight, v) | |
return a.reshape(bs, -1, length) | |
def count_flops(model, _x, y): | |
return count_flops_attn(model, _x, y) | |
class AttentionBlock(nn.Module): | |
""" | |
An attention block that allows spatial positions to attend to each other. | |
Originally ported from here, but adapted to the N-d case. | |
https://github.com/hojonathanho/diffusion/blob/1e0dceb3b3495bbe19116a5e1b3596cd0706c543/diffusion_tf/models/unet.py#L66. | |
""" | |
def __init__( | |
self, | |
channels, | |
num_heads=1, | |
num_head_channels=-1, | |
use_checkpoint=False, | |
): | |
super().__init__() | |
self.channels = channels | |
if num_head_channels == -1: | |
self.num_heads = num_heads | |
else: | |
assert ( | |
channels % num_head_channels == 0 | |
), f"q,k,v channels {channels} is not divisible by num_head_channels {num_head_channels}" | |
self.num_heads = channels // num_head_channels | |
self.use_checkpoint = use_checkpoint | |
self.norm = Normalize(channels) | |
self.qkv = nn.Conv1d(channels, channels * 3, 1) | |
self.attention = QKVAttentionLegacy(self.num_heads) | |
self.proj_out = zero_module(nn.Conv1d(channels, channels, 1)) | |
def forward(self, x): | |
return self._forward(x, ) | |
def _forward(self, x): | |
b, c, *spatial = x.shape | |
x = x.reshape(b, c, -1) | |
qkv = self.qkv(self.norm(x)) | |
h = self.attention(qkv) | |
h = self.proj_out(h) | |
return (x + h).reshape(b, c, *spatial) | |
class Downsample(nn.Module): | |
""" | |
A downsampling layer with an optional convolution. | |
:param channels: channels in the inputs and outputs. | |
:param use_conv: a bool determining if a convolution is applied. | |
""" | |
def __init__(self, channels, use_conv, out_channels=None, padding=1): | |
super().__init__() | |
self.channels = channels | |
self.out_channels = out_channels or channels | |
self.use_conv = use_conv | |
if use_conv: | |
self.op = nn.Conv3d( | |
self.channels, self.out_channels, 3, stride=2, padding=padding | |
) | |
else: | |
assert self.channels == self.out_channels | |
self.op = nn.AvgPool3d(kernel_size=2, stride=2) | |
def forward(self, x): | |
assert x.shape[1] == self.channels | |
return self.op(x) | |
class Upsample(nn.Module): | |
""" | |
An upsampling layer with an optional convolution. | |
:param channels: channels in the inputs and outputs. | |
:param use_conv: a bool determining if a convolution is applied. | |
""" | |
def __init__(self, channels, use_conv, out_channels=None, padding=1): | |
super().__init__() | |
self.channels = channels | |
self.out_channels = out_channels or channels | |
self.use_conv = use_conv | |
if use_conv: | |
self.conv = nn.Conv3d(self.channels, self.out_channels, 3, padding=padding) | |
def forward(self, x): | |
assert x.shape[1] == self.channels | |
x = F.interpolate(x, scale_factor=2, mode="nearest") | |
if self.use_conv: | |
x = self.conv(x) | |
return x | |
class ResBlock(TimestepBlock): | |
""" | |
A residual block that can optionally change the number of channels. | |
:param channels: the number of input channels. | |
:param emb_channels: the number of timestep embedding channels. | |
:param dropout: the rate of dropout. | |
:param out_channels: if specified, the number of out channels. | |
:param use_conv: if True and out_channels is specified, use a spatial | |
convolution instead of a smaller 1x1 convolution to change the | |
channels in the skip connection. | |
:param up: if True, use this block for upsampling. | |
:param down: if True, use this block for downsampling. | |
""" | |
def __init__( | |
self, | |
channels, | |
emb_channels, | |
dropout, | |
out_channels=None, | |
use_conv=False, | |
use_scale_shift_norm=False, | |
up=False, | |
down=False, | |
): | |
super().__init__() | |
self.channels = channels | |
self.emb_channels = emb_channels | |
self.dropout = dropout | |
self.out_channels = out_channels or channels | |
self.use_conv = use_conv | |
self.use_scale_shift_norm = use_scale_shift_norm | |
self.in_layers = nn.Sequential( | |
Normalize(channels), | |
nn.SiLU(), | |
nn.Conv3d(channels, self.out_channels, 3, padding=1), | |
) | |
self.updown = up or down | |
if up: | |
self.h_upd = Upsample(channels, False) | |
self.x_upd = Upsample(channels, False) | |
elif down: | |
self.h_upd = Downsample(channels, False) | |
self.x_upd = Downsample(channels, False) | |
else: | |
self.h_upd = self.x_upd = nn.Identity() | |
self.emb_layers = nn.Sequential( | |
nn.SiLU(), | |
nn.Linear( | |
emb_channels, | |
2 * self.out_channels if use_scale_shift_norm else self.out_channels, | |
), | |
) | |
self.out_layers = nn.Sequential( | |
Normalize(self.out_channels), | |
nn.SiLU(), | |
nn.Dropout(p=dropout), | |
zero_module( | |
nn.Conv3d(self.out_channels, self.out_channels, 3, padding=1) | |
), | |
) | |
if self.out_channels == channels: | |
self.skip_connection = nn.Identity() | |
elif use_conv: | |
self.skip_connection = nn.Conv3d( | |
channels, self.out_channels, 3, padding=1 | |
) | |
else: | |
self.skip_connection = nn.Conv3d(channels, self.out_channels, 1) | |
def forward(self, x, emb): | |
return self._forward(x, emb) | |
def _forward(self, x, emb): | |
if self.updown: | |
in_rest, in_conv = self.in_layers[:-1], self.in_layers[-1] | |
h = in_rest(x) | |
h = self.h_upd(h) | |
x = self.x_upd(x) | |
h = in_conv(h) | |
else: | |
h = self.in_layers(x) | |
emb_out = self.emb_layers(emb).type(h.dtype) | |
while len(emb_out.shape) < len(h.shape): | |
emb_out = emb_out[..., None] | |
if self.use_scale_shift_norm: | |
out_norm, out_rest = self.out_layers[0], self.out_layers[1:] | |
scale, shift = th.chunk(emb_out, 2, dim=1) | |
h = out_norm(h) * (1 + scale) + shift | |
h = out_rest(h) | |
else: | |
h = h + emb_out | |
h = self.out_layers(h) | |
return self.skip_connection(x) + h | |
class UNetModel(nn.Module): | |
def __init__( | |
self, | |
image_size, | |
in_channels, | |
model_channels, | |
out_channels, | |
num_res_blocks, | |
attention_resolutions, | |
dropout=0, | |
channel_mult=(1, 2, 4, 8), | |
conv_resample=True, | |
num_classes=None, | |
num_heads=1, | |
num_head_channels=-1, | |
num_heads_upsample=-1, | |
use_scale_shift_norm=False, | |
resblock_updown=False, | |
use_spatial_transformer=False, # custom transformer support | |
transformer_depth=1, # custom transformer support | |
context_dim=None, # custom transformer support | |
n_embed=None # custom support for prediction of discrete ids into codebook of first stage vq model | |
): | |
super().__init__() | |
if use_spatial_transformer: | |
assert context_dim is not None, 'Fool!! You forgot to include the dimension of your cross-attention conditioning...' | |
if context_dim is not None: | |
assert use_spatial_transformer, 'Fool!! You forgot to use the spatial transformer for your cross-attention conditioning...' | |
if num_heads_upsample == -1: | |
num_heads_upsample = num_heads | |
self.image_size = image_size | |
self.in_channels = in_channels | |
self.model_channels = model_channels | |
self.out_channels = out_channels | |
self.num_res_blocks = num_res_blocks | |
self.attention_resolutions = attention_resolutions | |
self.dropout = dropout | |
self.channel_mult = channel_mult | |
self.conv_resample = conv_resample | |
self.num_classes = num_classes | |
self.num_heads = num_heads | |
self.num_head_channels = num_head_channels | |
self.num_heads_upsample = num_heads_upsample | |
self.predict_codebook_ids = n_embed is not None | |
time_embed_dim = model_channels * 4 | |
self.time_embed = nn.Sequential( | |
nn.Linear(model_channels, time_embed_dim), | |
nn.SiLU(), | |
nn.Linear(time_embed_dim, time_embed_dim), | |
) | |
if self.num_classes is not None: | |
self.label_emb = nn.Embedding(num_classes, time_embed_dim) | |
self.input_blocks = nn.ModuleList( | |
[ | |
TimestepEmbedSequential( | |
nn.Conv3d(in_channels, model_channels, 3, padding=1) | |
) | |
] | |
) | |
self._feature_size = model_channels | |
input_block_chans = [model_channels] | |
ch = model_channels | |
ds = 1 | |
for level, mult in enumerate(channel_mult): | |
for _ in range(num_res_blocks): | |
layers = [ | |
ResBlock( | |
ch, | |
time_embed_dim, | |
dropout, | |
out_channels=mult * model_channels, | |
use_scale_shift_norm=use_scale_shift_norm, | |
) | |
] | |
ch = mult * model_channels | |
if ds in attention_resolutions: | |
dim_head = ch // num_heads | |
layers.append( | |
AttentionBlock( | |
ch, | |
num_heads=num_heads, | |
num_head_channels=num_head_channels, | |
) if not use_spatial_transformer else SpatialTransformer( | |
ch, num_heads, dim_head, depth=transformer_depth, context_dim=context_dim | |
) | |
) | |
self.input_blocks.append(TimestepEmbedSequential(*layers)) | |
self._feature_size += ch | |
input_block_chans.append(ch) | |
if level != len(channel_mult) - 1: | |
out_ch = ch | |
self.input_blocks.append( | |
TimestepEmbedSequential( | |
ResBlock( | |
ch, | |
time_embed_dim, | |
dropout, | |
out_channels=out_ch, | |
use_scale_shift_norm=use_scale_shift_norm, | |
down=True, | |
) | |
if resblock_updown | |
else Downsample( | |
ch, conv_resample, out_channels=out_ch | |
) | |
) | |
) | |
ch = out_ch | |
input_block_chans.append(ch) | |
ds *= 2 | |
self._feature_size += ch | |
dim_head = ch // num_heads | |
self.middle_block = TimestepEmbedSequential( | |
ResBlock( | |
ch, | |
time_embed_dim, | |
dropout, | |
use_scale_shift_norm=use_scale_shift_norm, | |
), | |
AttentionBlock( | |
ch, | |
num_heads=num_heads, | |
num_head_channels=num_head_channels, | |
) if not use_spatial_transformer else SpatialTransformer( | |
ch, num_heads, dim_head, depth=transformer_depth, context_dim=context_dim | |
), | |
ResBlock( | |
ch, | |
time_embed_dim, | |
dropout, | |
use_scale_shift_norm=use_scale_shift_norm, | |
), | |
) | |
self._feature_size += ch | |
self.output_blocks = nn.ModuleList([]) | |
for level, mult in list(enumerate(channel_mult))[::-1]: | |
for i in range(num_res_blocks + 1): | |
ich = input_block_chans.pop() | |
layers = [ | |
ResBlock( | |
ch + ich, | |
time_embed_dim, | |
dropout, | |
out_channels=model_channels * mult, | |
use_scale_shift_norm=use_scale_shift_norm, | |
) | |
] | |
ch = model_channels * mult | |
if ds in attention_resolutions: | |
dim_head = ch // num_heads | |
layers.append( | |
AttentionBlock( | |
ch, | |
num_heads=num_heads_upsample, | |
num_head_channels=num_head_channels, | |
) if not use_spatial_transformer else SpatialTransformer( | |
ch, num_heads, dim_head, depth=transformer_depth, context_dim=context_dim | |
) | |
) | |
if level and i == num_res_blocks: | |
out_ch = ch | |
layers.append( | |
ResBlock( | |
ch, | |
time_embed_dim, | |
dropout, | |
out_channels=out_ch, | |
use_scale_shift_norm=use_scale_shift_norm, | |
up=True, | |
) | |
if resblock_updown | |
else Upsample(ch, conv_resample, out_channels=out_ch) | |
) | |
ds //= 2 | |
self.output_blocks.append(TimestepEmbedSequential(*layers)) | |
self._feature_size += ch | |
self.out = nn.Sequential( | |
Normalize(ch), | |
nn.SiLU(), | |
zero_module(nn.Conv3d(model_channels, out_channels, 3, padding=1)), | |
) | |
if self.predict_codebook_ids: | |
self.id_predictor = nn.Sequential( | |
Normalize(ch), | |
nn.Conv3d(model_channels, n_embed, 1), | |
) | |
def forward(self, x, timesteps=None, context=None, y=None, **kwargs): | |
""" | |
Apply the model to an input batch. | |
:param x: an [N x C x ...] Tensor of inputs. | |
:param timesteps: a 1-D batch of timesteps. | |
:param context: conditioning plugged in via crossattn | |
:param y: an [N] Tensor of labels, if class-conditional. | |
:return: an [N x C x ...] Tensor of outputs. | |
""" | |
assert (y is not None) == ( | |
self.num_classes is not None | |
), "must specify y if and only if the model is class-conditional" | |
assert timesteps is not None, 'need to implement no-timestep usage' | |
hs = [] | |
t_emb = timestep_embedding(timesteps, self.model_channels, repeat_only=False) | |
emb = self.time_embed(t_emb) | |
if self.num_classes is not None: | |
assert y.shape == (x.shape[0],) | |
emb = emb + self.label_emb(y) | |
h = x | |
for module in self.input_blocks: | |
h = module(h, emb, context) | |
hs.append(h) | |
h = self.middle_block(h, emb, context) | |
for module in self.output_blocks: | |
h = th.cat([h, hs.pop()], dim=1) | |
h = module(h, emb, context) | |
if self.predict_codebook_ids: | |
# return self.out(h), self.id_predictor(h) | |
return self.id_predictor(h) | |
else: | |
return self.out(h) | |