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1652 lines (1328 loc) · 63.7 KB
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# Copyright 2024 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
import math
from typing import List, Optional, Tuple, Union
import numpy as np
import torch
import torch.nn.functional as F
from torch import nn
from ..utils import deprecate
from .activations import FP32SiLU, get_activation
from .attention_processor import Attention
def get_timestep_embedding(
timesteps: torch.Tensor,
embedding_dim: int,
flip_sin_to_cos: bool = False,
downscale_freq_shift: float = 1,
scale: float = 1,
max_period: int = 10000,
):
"""
This matches the implementation in Denoising Diffusion Probabilistic Models: Create sinusoidal timestep embeddings.
Args
timesteps (torch.Tensor):
a 1-D Tensor of N indices, one per batch element. These may be fractional.
embedding_dim (int):
the dimension of the output.
flip_sin_to_cos (bool):
Whether the embedding order should be `cos, sin` (if True) or `sin, cos` (if False)
downscale_freq_shift (float):
Controls the delta between frequencies between dimensions
scale (float):
Scaling factor applied to the embeddings.
max_period (int):
Controls the maximum frequency of the embeddings
Returns
torch.Tensor: an [N x dim] Tensor of positional embeddings.
"""
assert len(timesteps.shape) == 1, "Timesteps should be a 1d-array"
half_dim = embedding_dim // 2
exponent = -math.log(max_period) * torch.arange(
start=0, end=half_dim, dtype=torch.float32, device=timesteps.device
)
exponent = exponent / (half_dim - downscale_freq_shift)
emb = torch.exp(exponent)
emb = timesteps[:, None].float() * emb[None, :]
# scale embeddings
emb = scale * emb
# concat sine and cosine embeddings
emb = torch.cat([torch.sin(emb), torch.cos(emb)], dim=-1)
# flip sine and cosine embeddings
if flip_sin_to_cos:
emb = torch.cat([emb[:, half_dim:], emb[:, :half_dim]], dim=-1)
# zero pad
if embedding_dim % 2 == 1:
emb = torch.nn.functional.pad(emb, (0, 1, 0, 0))
return emb
def get_3d_sincos_pos_embed(
embed_dim: int,
spatial_size: Union[int, Tuple[int, int]],
temporal_size: int,
spatial_interpolation_scale: float = 1.0,
temporal_interpolation_scale: float = 1.0,
) -> np.ndarray:
r"""
Args:
embed_dim (`int`):
spatial_size (`int` or `Tuple[int, int]`):
temporal_size (`int`):
spatial_interpolation_scale (`float`, defaults to 1.0):
temporal_interpolation_scale (`float`, defaults to 1.0):
"""
if embed_dim % 4 != 0:
raise ValueError("`embed_dim` must be divisible by 4")
if isinstance(spatial_size, int):
spatial_size = (spatial_size, spatial_size)
embed_dim_spatial = 3 * embed_dim // 4
embed_dim_temporal = embed_dim // 4
# 1. Spatial
grid_h = np.arange(spatial_size[1], dtype=np.float32) / spatial_interpolation_scale
grid_w = np.arange(spatial_size[0], dtype=np.float32) / spatial_interpolation_scale
grid = np.meshgrid(grid_w, grid_h) # here w goes first
grid = np.stack(grid, axis=0)
grid = grid.reshape([2, 1, spatial_size[1], spatial_size[0]])
pos_embed_spatial = get_2d_sincos_pos_embed_from_grid(embed_dim_spatial, grid)
# 2. Temporal
grid_t = np.arange(temporal_size, dtype=np.float32) / temporal_interpolation_scale
pos_embed_temporal = get_1d_sincos_pos_embed_from_grid(embed_dim_temporal, grid_t)
# 3. Concat
pos_embed_spatial = pos_embed_spatial[np.newaxis, :, :]
pos_embed_spatial = np.repeat(pos_embed_spatial, temporal_size, axis=0) # [T, H*W, D // 4 * 3]
pos_embed_temporal = pos_embed_temporal[:, np.newaxis, :]
pos_embed_temporal = np.repeat(pos_embed_temporal, spatial_size[0] * spatial_size[1], axis=1) # [T, H*W, D // 4]
pos_embed = np.concatenate([pos_embed_temporal, pos_embed_spatial], axis=-1) # [T, H*W, D]
return pos_embed
def get_2d_sincos_pos_embed(
embed_dim, grid_size, cls_token=False, extra_tokens=0, interpolation_scale=1.0, base_size=16
):
"""
grid_size: int of the grid height and width return: pos_embed: [grid_size*grid_size, embed_dim] or
[1+grid_size*grid_size, embed_dim] (w/ or w/o cls_token)
"""
if isinstance(grid_size, int):
grid_size = (grid_size, grid_size)
grid_h = np.arange(grid_size[0], dtype=np.float32) / (grid_size[0] / base_size) / interpolation_scale
grid_w = np.arange(grid_size[1], dtype=np.float32) / (grid_size[1] / base_size) / interpolation_scale
grid = np.meshgrid(grid_w, grid_h) # here w goes first
grid = np.stack(grid, axis=0)
grid = grid.reshape([2, 1, grid_size[1], grid_size[0]])
pos_embed = get_2d_sincos_pos_embed_from_grid(embed_dim, grid)
if cls_token and extra_tokens > 0:
pos_embed = np.concatenate([np.zeros([extra_tokens, embed_dim]), pos_embed], axis=0)
return pos_embed
def get_2d_sincos_pos_embed_from_grid(embed_dim, grid):
if embed_dim % 2 != 0:
raise ValueError("embed_dim must be divisible by 2")
# use half of dimensions to encode grid_h
emb_h = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, grid[0]) # (H*W, D/2)
emb_w = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, grid[1]) # (H*W, D/2)
emb = np.concatenate([emb_h, emb_w], axis=1) # (H*W, D)
return emb
def get_1d_sincos_pos_embed_from_grid(embed_dim, pos):
"""
embed_dim: output dimension for each position pos: a list of positions to be encoded: size (M,) out: (M, D)
"""
if embed_dim % 2 != 0:
raise ValueError("embed_dim must be divisible by 2")
omega = np.arange(embed_dim // 2, dtype=np.float64)
omega /= embed_dim / 2.0
omega = 1.0 / 10000**omega # (D/2,)
pos = pos.reshape(-1) # (M,)
out = np.einsum("m,d->md", pos, omega) # (M, D/2), outer product
emb_sin = np.sin(out) # (M, D/2)
emb_cos = np.cos(out) # (M, D/2)
emb = np.concatenate([emb_sin, emb_cos], axis=1) # (M, D)
return emb
class PatchEmbed(nn.Module):
"""2D Image to Patch Embedding with support for SD3 cropping."""
def __init__(
self,
height=224,
width=224,
patch_size=16,
in_channels=3,
embed_dim=768,
layer_norm=False,
flatten=True,
bias=True,
interpolation_scale=1,
pos_embed_type="sincos",
pos_embed_max_size=None, # For SD3 cropping
):
super().__init__()
num_patches = (height // patch_size) * (width // patch_size)
self.flatten = flatten
self.layer_norm = layer_norm
self.pos_embed_max_size = pos_embed_max_size
self.proj = nn.Conv2d(
in_channels, embed_dim, kernel_size=(patch_size, patch_size), stride=patch_size, bias=bias
)
if layer_norm:
self.norm = nn.LayerNorm(embed_dim, elementwise_affine=False, eps=1e-6)
else:
self.norm = None
self.patch_size = patch_size
self.height, self.width = height // patch_size, width // patch_size
self.base_size = height // patch_size
self.interpolation_scale = interpolation_scale
# Calculate positional embeddings based on max size or default
if pos_embed_max_size:
grid_size = pos_embed_max_size
else:
grid_size = int(num_patches**0.5)
if pos_embed_type is None:
self.pos_embed = None
elif pos_embed_type == "sincos":
pos_embed = get_2d_sincos_pos_embed(
embed_dim, grid_size, base_size=self.base_size, interpolation_scale=self.interpolation_scale
)
persistent = True if pos_embed_max_size else False
self.register_buffer("pos_embed", torch.from_numpy(pos_embed).float().unsqueeze(0), persistent=persistent)
else:
raise ValueError(f"Unsupported pos_embed_type: {pos_embed_type}")
def cropped_pos_embed(self, height, width):
"""Crops positional embeddings for SD3 compatibility."""
if self.pos_embed_max_size is None:
raise ValueError("`pos_embed_max_size` must be set for cropping.")
height = height // self.patch_size
width = width // self.patch_size
if height > self.pos_embed_max_size:
raise ValueError(
f"Height ({height}) cannot be greater than `pos_embed_max_size`: {self.pos_embed_max_size}."
)
if width > self.pos_embed_max_size:
raise ValueError(
f"Width ({width}) cannot be greater than `pos_embed_max_size`: {self.pos_embed_max_size}."
)
top = (self.pos_embed_max_size - height) // 2
left = (self.pos_embed_max_size - width) // 2
spatial_pos_embed = self.pos_embed.reshape(1, self.pos_embed_max_size, self.pos_embed_max_size, -1)
spatial_pos_embed = spatial_pos_embed[:, top : top + height, left : left + width, :]
spatial_pos_embed = spatial_pos_embed.reshape(1, -1, spatial_pos_embed.shape[-1])
return spatial_pos_embed
def forward(self, latent):
if self.pos_embed_max_size is not None:
height, width = latent.shape[-2:]
else:
height, width = latent.shape[-2] // self.patch_size, latent.shape[-1] // self.patch_size
latent = self.proj(latent)
if self.flatten:
latent = latent.flatten(2).transpose(1, 2) # BCHW -> BNC
if self.layer_norm:
latent = self.norm(latent)
if self.pos_embed is None:
return latent.to(latent.dtype)
# Interpolate or crop positional embeddings as needed
if self.pos_embed_max_size:
pos_embed = self.cropped_pos_embed(height, width)
else:
if self.height != height or self.width != width:
pos_embed = get_2d_sincos_pos_embed(
embed_dim=self.pos_embed.shape[-1],
grid_size=(height, width),
base_size=self.base_size,
interpolation_scale=self.interpolation_scale,
)
pos_embed = torch.from_numpy(pos_embed).float().unsqueeze(0).to(latent.device)
else:
pos_embed = self.pos_embed
return (latent + pos_embed).to(latent.dtype)
class LuminaPatchEmbed(nn.Module):
"""2D Image to Patch Embedding with support for Lumina-T2X"""
def __init__(self, patch_size=2, in_channels=4, embed_dim=768, bias=True):
super().__init__()
self.patch_size = patch_size
self.proj = nn.Linear(
in_features=patch_size * patch_size * in_channels,
out_features=embed_dim,
bias=bias,
)
def forward(self, x, freqs_cis):
"""
Patchifies and embeds the input tensor(s).
Args:
x (List[torch.Tensor] | torch.Tensor): The input tensor(s) to be patchified and embedded.
Returns:
Tuple[torch.Tensor, torch.Tensor, List[Tuple[int, int]], torch.Tensor]: A tuple containing the patchified
and embedded tensor(s), the mask indicating the valid patches, the original image size(s), and the
frequency tensor(s).
"""
freqs_cis = freqs_cis.to(x[0].device)
patch_height = patch_width = self.patch_size
batch_size, channel, height, width = x.size()
height_tokens, width_tokens = height // patch_height, width // patch_width
x = x.view(batch_size, channel, height_tokens, patch_height, width_tokens, patch_width).permute(
0, 2, 4, 1, 3, 5
)
x = x.flatten(3)
x = self.proj(x)
x = x.flatten(1, 2)
mask = torch.ones(x.shape[0], x.shape[1], dtype=torch.int32, device=x.device)
return (
x,
mask,
[(height, width)] * batch_size,
freqs_cis[:height_tokens, :width_tokens].flatten(0, 1).unsqueeze(0),
)
class CogVideoXPatchEmbed(nn.Module):
def __init__(
self,
patch_size: int = 2,
in_channels: int = 16,
embed_dim: int = 1920,
text_embed_dim: int = 4096,
bias: bool = True,
) -> None:
super().__init__()
self.patch_size = patch_size
self.proj = nn.Conv2d(
in_channels, embed_dim, kernel_size=(patch_size, patch_size), stride=patch_size, bias=bias
)
self.text_proj = nn.Linear(text_embed_dim, embed_dim)
def forward(self, text_embeds: torch.Tensor, image_embeds: torch.Tensor):
r"""
Args:
text_embeds (`torch.Tensor`):
Input text embeddings. Expected shape: (batch_size, seq_length, embedding_dim).
image_embeds (`torch.Tensor`):
Input image embeddings. Expected shape: (batch_size, num_frames, channels, height, width).
"""
text_embeds = self.text_proj(text_embeds)
batch, num_frames, channels, height, width = image_embeds.shape
image_embeds = image_embeds.reshape(-1, channels, height, width)
image_embeds = self.proj(image_embeds)
image_embeds = image_embeds.view(batch, num_frames, *image_embeds.shape[1:])
image_embeds = image_embeds.flatten(3).transpose(2, 3) # [batch, num_frames, height x width, channels]
image_embeds = image_embeds.flatten(1, 2) # [batch, num_frames x height x width, channels]
embeds = torch.cat(
[text_embeds, image_embeds], dim=1
).contiguous() # [batch, seq_length + num_frames x height x width, channels]
return embeds
def get_3d_rotary_pos_embed(
embed_dim, crops_coords, grid_size, temporal_size, theta: int = 10000, use_real: bool = True
) -> Union[torch.Tensor, Tuple[torch.Tensor, torch.Tensor]]:
"""
RoPE for video tokens with 3D structure.
Args:
embed_dim: (`int`):
The embedding dimension size, corresponding to hidden_size_head.
crops_coords (`Tuple[int]`):
The top-left and bottom-right coordinates of the crop.
grid_size (`Tuple[int]`):
The grid size of the spatial positional embedding (height, width).
temporal_size (`int`):
The size of the temporal dimension.
theta (`float`):
Scaling factor for frequency computation.
Returns:
`torch.Tensor`: positional embedding with shape `(temporal_size * grid_size[0] * grid_size[1], embed_dim/2)`.
"""
if use_real is not True:
raise ValueError(" `use_real = False` is not currently supported for get_3d_rotary_pos_embed")
start, stop = crops_coords
grid_size_h, grid_size_w = grid_size
grid_h = np.linspace(start[0], stop[0], grid_size_h, endpoint=False, dtype=np.float32)
grid_w = np.linspace(start[1], stop[1], grid_size_w, endpoint=False, dtype=np.float32)
grid_t = np.linspace(0, temporal_size, temporal_size, endpoint=False, dtype=np.float32)
# Compute dimensions for each axis
dim_t = embed_dim // 4
dim_h = embed_dim // 8 * 3
dim_w = embed_dim // 8 * 3
# Temporal frequencies
freqs_t = get_1d_rotary_pos_embed(dim_t, grid_t, use_real=True)
# Spatial frequencies for height and width
freqs_h = get_1d_rotary_pos_embed(dim_h, grid_h, use_real=True)
freqs_w = get_1d_rotary_pos_embed(dim_w, grid_w, use_real=True)
# BroadCast and concatenate temporal and spaial frequencie (height and width) into a 3d tensor
def combine_time_height_width(freqs_t, freqs_h, freqs_w):
freqs_t = freqs_t[:, None, None, :].expand(
-1, grid_size_h, grid_size_w, -1
) # temporal_size, grid_size_h, grid_size_w, dim_t
freqs_h = freqs_h[None, :, None, :].expand(
temporal_size, -1, grid_size_w, -1
) # temporal_size, grid_size_h, grid_size_2, dim_h
freqs_w = freqs_w[None, None, :, :].expand(
temporal_size, grid_size_h, -1, -1
) # temporal_size, grid_size_h, grid_size_2, dim_w
freqs = torch.cat(
[freqs_t, freqs_h, freqs_w], dim=-1
) # temporal_size, grid_size_h, grid_size_w, (dim_t + dim_h + dim_w)
freqs = freqs.view(
temporal_size * grid_size_h * grid_size_w, -1
) # (temporal_size * grid_size_h * grid_size_w), (dim_t + dim_h + dim_w)
return freqs
t_cos, t_sin = freqs_t # both t_cos and t_sin has shape: temporal_size, dim_t
h_cos, h_sin = freqs_h # both h_cos and h_sin has shape: grid_size_h, dim_h
w_cos, w_sin = freqs_w # both w_cos and w_sin has shape: grid_size_w, dim_w
cos = combine_time_height_width(t_cos, h_cos, w_cos)
sin = combine_time_height_width(t_sin, h_sin, w_sin)
return cos, sin
def get_2d_rotary_pos_embed(embed_dim, crops_coords, grid_size, use_real=True):
"""
RoPE for image tokens with 2d structure.
Args:
embed_dim: (`int`):
The embedding dimension size
crops_coords (`Tuple[int]`)
The top-left and bottom-right coordinates of the crop.
grid_size (`Tuple[int]`):
The grid size of the positional embedding.
use_real (`bool`):
If True, return real part and imaginary part separately. Otherwise, return complex numbers.
Returns:
`torch.Tensor`: positional embedding with shape `( grid_size * grid_size, embed_dim/2)`.
"""
start, stop = crops_coords
grid_h = np.linspace(start[0], stop[0], grid_size[0], endpoint=False, dtype=np.float32)
grid_w = np.linspace(start[1], stop[1], grid_size[1], endpoint=False, dtype=np.float32)
grid = np.meshgrid(grid_w, grid_h) # here w goes first
grid = np.stack(grid, axis=0) # [2, W, H]
grid = grid.reshape([2, 1, *grid.shape[1:]])
pos_embed = get_2d_rotary_pos_embed_from_grid(embed_dim, grid, use_real=use_real)
return pos_embed
def get_2d_rotary_pos_embed_from_grid(embed_dim, grid, use_real=False):
assert embed_dim % 4 == 0
# use half of dimensions to encode grid_h
emb_h = get_1d_rotary_pos_embed(
embed_dim // 2, grid[0].reshape(-1), use_real=use_real
) # (H*W, D/2) if use_real else (H*W, D/4)
emb_w = get_1d_rotary_pos_embed(
embed_dim // 2, grid[1].reshape(-1), use_real=use_real
) # (H*W, D/2) if use_real else (H*W, D/4)
if use_real:
cos = torch.cat([emb_h[0], emb_w[0]], dim=1) # (H*W, D)
sin = torch.cat([emb_h[1], emb_w[1]], dim=1) # (H*W, D)
return cos, sin
else:
emb = torch.cat([emb_h, emb_w], dim=1) # (H*W, D/2)
return emb
def get_2d_rotary_pos_embed_lumina(embed_dim, len_h, len_w, linear_factor=1.0, ntk_factor=1.0):
assert embed_dim % 4 == 0
emb_h = get_1d_rotary_pos_embed(
embed_dim // 2, len_h, linear_factor=linear_factor, ntk_factor=ntk_factor
) # (H, D/4)
emb_w = get_1d_rotary_pos_embed(
embed_dim // 2, len_w, linear_factor=linear_factor, ntk_factor=ntk_factor
) # (W, D/4)
emb_h = emb_h.view(len_h, 1, embed_dim // 4, 1).repeat(1, len_w, 1, 1) # (H, W, D/4, 1)
emb_w = emb_w.view(1, len_w, embed_dim // 4, 1).repeat(len_h, 1, 1, 1) # (H, W, D/4, 1)
emb = torch.cat([emb_h, emb_w], dim=-1).flatten(2) # (H, W, D/2)
return emb
def get_1d_rotary_pos_embed(
dim: int,
pos: Union[np.ndarray, int],
theta: float = 10000.0,
use_real=False,
linear_factor=1.0,
ntk_factor=1.0,
repeat_interleave_real=True,
freqs_dtype=torch.float32, # torch.float32 (hunyuan, stable audio), torch.float64 (flux)
):
"""
Precompute the frequency tensor for complex exponentials (cis) with given dimensions.
This function calculates a frequency tensor with complex exponentials using the given dimension 'dim' and the end
index 'end'. The 'theta' parameter scales the frequencies. The returned tensor contains complex values in complex64
data type.
Args:
dim (`int`): Dimension of the frequency tensor.
pos (`np.ndarray` or `int`): Position indices for the frequency tensor. [S] or scalar
theta (`float`, *optional*, defaults to 10000.0):
Scaling factor for frequency computation. Defaults to 10000.0.
use_real (`bool`, *optional*):
If True, return real part and imaginary part separately. Otherwise, return complex numbers.
linear_factor (`float`, *optional*, defaults to 1.0):
Scaling factor for the context extrapolation. Defaults to 1.0.
ntk_factor (`float`, *optional*, defaults to 1.0):
Scaling factor for the NTK-Aware RoPE. Defaults to 1.0.
repeat_interleave_real (`bool`, *optional*, defaults to `True`):
If `True` and `use_real`, real part and imaginary part are each interleaved with themselves to reach `dim`.
Otherwise, they are concateanted with themselves.
freqs_dtype (`torch.float32` or `torch.float64`, *optional*, defaults to `torch.float32`):
the dtype of the frequency tensor.
Returns:
`torch.Tensor`: Precomputed frequency tensor with complex exponentials. [S, D/2]
"""
assert dim % 2 == 0
if isinstance(pos, int):
pos = np.arange(pos)
theta = theta * ntk_factor
freqs = 1.0 / (theta ** (torch.arange(0, dim, 2, dtype=freqs_dtype)[: (dim // 2)] / dim)) / linear_factor # [D/2]
t = torch.from_numpy(pos).to(freqs.device) # type: ignore # [S]
freqs = torch.outer(t, freqs) # type: ignore # [S, D/2]
if use_real and repeat_interleave_real:
freqs_cos = freqs.cos().repeat_interleave(2, dim=1).float() # [S, D]
freqs_sin = freqs.sin().repeat_interleave(2, dim=1).float() # [S, D]
return freqs_cos, freqs_sin
elif use_real:
freqs_cos = torch.cat([freqs.cos(), freqs.cos()], dim=-1).float() # [S, D]
freqs_sin = torch.cat([freqs.sin(), freqs.sin()], dim=-1).float() # [S, D]
return freqs_cos, freqs_sin
else:
freqs_cis = torch.polar(torch.ones_like(freqs), freqs).float() # complex64 # [S, D/2]
return freqs_cis
def apply_rotary_emb(
x: torch.Tensor,
freqs_cis: Union[torch.Tensor, Tuple[torch.Tensor]],
use_real: bool = True,
use_real_unbind_dim: int = -1,
) -> Tuple[torch.Tensor, torch.Tensor]:
"""
Apply rotary embeddings to input tensors using the given frequency tensor. This function applies rotary embeddings
to the given query or key 'x' tensors using the provided frequency tensor 'freqs_cis'. The input tensors are
reshaped as complex numbers, and the frequency tensor is reshaped for broadcasting compatibility. The resulting
tensors contain rotary embeddings and are returned as real tensors.
Args:
x (`torch.Tensor`):
Query or key tensor to apply rotary embeddings. [B, H, S, D] xk (torch.Tensor): Key tensor to apply
freqs_cis (`Tuple[torch.Tensor]`): Precomputed frequency tensor for complex exponentials. ([S, D], [S, D],)
Returns:
Tuple[torch.Tensor, torch.Tensor]: Tuple of modified query tensor and key tensor with rotary embeddings.
"""
if use_real:
cos, sin = freqs_cis # [S, D]
cos = cos[None, None]
sin = sin[None, None]
cos, sin = cos.to(x.device), sin.to(x.device)
if use_real_unbind_dim == -1:
# Use for example in Lumina
x_real, x_imag = x.reshape(*x.shape[:-1], -1, 2).unbind(-1) # [B, S, H, D//2]
x_rotated = torch.stack([-x_imag, x_real], dim=-1).flatten(3)
elif use_real_unbind_dim == -2:
# Use for example in Stable Audio
x_real, x_imag = x.reshape(*x.shape[:-1], 2, -1).unbind(-2) # [B, S, H, D//2]
x_rotated = torch.cat([-x_imag, x_real], dim=-1)
else:
raise ValueError(f"`use_real_unbind_dim={use_real_unbind_dim}` but should be -1 or -2.")
out = (x.float() * cos + x_rotated.float() * sin).to(x.dtype)
return out
else:
x_rotated = torch.view_as_complex(x.float().reshape(*x.shape[:-1], -1, 2))
freqs_cis = freqs_cis.unsqueeze(2)
x_out = torch.view_as_real(x_rotated * freqs_cis).flatten(3)
return x_out.type_as(x)
class FluxPosEmbed(nn.Module):
# modified from https://github.com/black-forest-labs/flux/blob/c00d7c60b085fce8058b9df845e036090873f2ce/src/flux/modules/layers.py#L11
def __init__(self, theta: int, axes_dim: List[int]):
super().__init__()
self.theta = theta
self.axes_dim = axes_dim
def forward(self, ids: torch.Tensor) -> torch.Tensor:
n_axes = ids.shape[-1]
cos_out = []
sin_out = []
pos = ids.squeeze().float().cpu().numpy()
is_mps = ids.device.type == "mps"
freqs_dtype = torch.float32 if is_mps else torch.float64
for i in range(n_axes):
cos, sin = get_1d_rotary_pos_embed(
self.axes_dim[i], pos[:, i], repeat_interleave_real=True, use_real=True, freqs_dtype=freqs_dtype
)
cos_out.append(cos)
sin_out.append(sin)
freqs_cos = torch.cat(cos_out, dim=-1).to(ids.device)
freqs_sin = torch.cat(sin_out, dim=-1).to(ids.device)
return freqs_cos, freqs_sin
class TimestepEmbedding(nn.Module):
def __init__(
self,
in_channels: int,
time_embed_dim: int,
act_fn: str = "silu",
out_dim: int = None,
post_act_fn: Optional[str] = None,
cond_proj_dim=None,
sample_proj_bias=True,
):
super().__init__()
self.linear_1 = nn.Linear(in_channels, time_embed_dim, sample_proj_bias)
if cond_proj_dim is not None:
self.cond_proj = nn.Linear(cond_proj_dim, in_channels, bias=False)
else:
self.cond_proj = None
self.act = get_activation(act_fn)
if out_dim is not None:
time_embed_dim_out = out_dim
else:
time_embed_dim_out = time_embed_dim
self.linear_2 = nn.Linear(time_embed_dim, time_embed_dim_out, sample_proj_bias)
if post_act_fn is None:
self.post_act = None
else:
self.post_act = get_activation(post_act_fn)
def forward(self, sample, condition=None):
if condition is not None:
sample = sample + self.cond_proj(condition)
sample = self.linear_1(sample)
if self.act is not None:
sample = self.act(sample)
sample = self.linear_2(sample)
if self.post_act is not None:
sample = self.post_act(sample)
return sample
class Timesteps(nn.Module):
def __init__(self, num_channels: int, flip_sin_to_cos: bool, downscale_freq_shift: float, scale: int = 1):
super().__init__()
self.num_channels = num_channels
self.flip_sin_to_cos = flip_sin_to_cos
self.downscale_freq_shift = downscale_freq_shift
self.scale = scale
def forward(self, timesteps):
t_emb = get_timestep_embedding(
timesteps,
self.num_channels,
flip_sin_to_cos=self.flip_sin_to_cos,
downscale_freq_shift=self.downscale_freq_shift,
scale=self.scale,
)
return t_emb
class GaussianFourierProjection(nn.Module):
"""Gaussian Fourier embeddings for noise levels."""
def __init__(
self, embedding_size: int = 256, scale: float = 1.0, set_W_to_weight=True, log=True, flip_sin_to_cos=False
):
super().__init__()
self.weight = nn.Parameter(torch.randn(embedding_size) * scale, requires_grad=False)
self.log = log
self.flip_sin_to_cos = flip_sin_to_cos
if set_W_to_weight:
# to delete later
del self.weight
self.W = nn.Parameter(torch.randn(embedding_size) * scale, requires_grad=False)
self.weight = self.W
del self.W
def forward(self, x):
if self.log:
x = torch.log(x)
x_proj = x[:, None] * self.weight[None, :] * 2 * np.pi
if self.flip_sin_to_cos:
out = torch.cat([torch.cos(x_proj), torch.sin(x_proj)], dim=-1)
else:
out = torch.cat([torch.sin(x_proj), torch.cos(x_proj)], dim=-1)
return out
class SinusoidalPositionalEmbedding(nn.Module):
"""Apply positional information to a sequence of embeddings.
Takes in a sequence of embeddings with shape (batch_size, seq_length, embed_dim) and adds positional embeddings to
them
Args:
embed_dim: (int): Dimension of the positional embedding.
max_seq_length: Maximum sequence length to apply positional embeddings
"""
def __init__(self, embed_dim: int, max_seq_length: int = 32):
super().__init__()
position = torch.arange(max_seq_length).unsqueeze(1)
div_term = torch.exp(torch.arange(0, embed_dim, 2) * (-math.log(10000.0) / embed_dim))
pe = torch.zeros(1, max_seq_length, embed_dim)
pe[0, :, 0::2] = torch.sin(position * div_term)
pe[0, :, 1::2] = torch.cos(position * div_term)
self.register_buffer("pe", pe)
def forward(self, x):
_, seq_length, _ = x.shape
x = x + self.pe[:, :seq_length]
return x
class ImagePositionalEmbeddings(nn.Module):
"""
Converts latent image classes into vector embeddings. Sums the vector embeddings with positional embeddings for the
height and width of the latent space.
For more details, see figure 10 of the dall-e paper: https://arxiv.org/abs/2102.12092
For VQ-diffusion:
Output vector embeddings are used as input for the transformer.
Note that the vector embeddings for the transformer are different than the vector embeddings from the VQVAE.
Args:
num_embed (`int`):
Number of embeddings for the latent pixels embeddings.
height (`int`):
Height of the latent image i.e. the number of height embeddings.
width (`int`):
Width of the latent image i.e. the number of width embeddings.
embed_dim (`int`):
Dimension of the produced vector embeddings. Used for the latent pixel, height, and width embeddings.
"""
def __init__(
self,
num_embed: int,
height: int,
width: int,
embed_dim: int,
):
super().__init__()
self.height = height
self.width = width
self.num_embed = num_embed
self.embed_dim = embed_dim
self.emb = nn.Embedding(self.num_embed, embed_dim)
self.height_emb = nn.Embedding(self.height, embed_dim)
self.width_emb = nn.Embedding(self.width, embed_dim)
def forward(self, index):
emb = self.emb(index)
height_emb = self.height_emb(torch.arange(self.height, device=index.device).view(1, self.height))
# 1 x H x D -> 1 x H x 1 x D
height_emb = height_emb.unsqueeze(2)
width_emb = self.width_emb(torch.arange(self.width, device=index.device).view(1, self.width))
# 1 x W x D -> 1 x 1 x W x D
width_emb = width_emb.unsqueeze(1)
pos_emb = height_emb + width_emb
# 1 x H x W x D -> 1 x L xD
pos_emb = pos_emb.view(1, self.height * self.width, -1)
emb = emb + pos_emb[:, : emb.shape[1], :]
return emb
class LabelEmbedding(nn.Module):
"""
Embeds class labels into vector representations. Also handles label dropout for classifier-free guidance.
Args:
num_classes (`int`): The number of classes.
hidden_size (`int`): The size of the vector embeddings.
dropout_prob (`float`): The probability of dropping a label.
"""
def __init__(self, num_classes, hidden_size, dropout_prob):
super().__init__()
use_cfg_embedding = dropout_prob > 0
self.embedding_table = nn.Embedding(num_classes + use_cfg_embedding, hidden_size)
self.num_classes = num_classes
self.dropout_prob = dropout_prob
def token_drop(self, labels, force_drop_ids=None):
"""
Drops labels to enable classifier-free guidance.
"""
if force_drop_ids is None:
drop_ids = torch.rand(labels.shape[0], device=labels.device) < self.dropout_prob
else:
drop_ids = torch.tensor(force_drop_ids == 1)
labels = torch.where(drop_ids, self.num_classes, labels)
return labels
def forward(self, labels: torch.LongTensor, force_drop_ids=None):
use_dropout = self.dropout_prob > 0
if (self.training and use_dropout) or (force_drop_ids is not None):
labels = self.token_drop(labels, force_drop_ids)
embeddings = self.embedding_table(labels)
return embeddings
class TextImageProjection(nn.Module):
def __init__(
self,
text_embed_dim: int = 1024,
image_embed_dim: int = 768,
cross_attention_dim: int = 768,
num_image_text_embeds: int = 10,
):
super().__init__()
self.num_image_text_embeds = num_image_text_embeds
self.image_embeds = nn.Linear(image_embed_dim, self.num_image_text_embeds * cross_attention_dim)
self.text_proj = nn.Linear(text_embed_dim, cross_attention_dim)
def forward(self, text_embeds: torch.Tensor, image_embeds: torch.Tensor):
batch_size = text_embeds.shape[0]
# image
image_text_embeds = self.image_embeds(image_embeds)
image_text_embeds = image_text_embeds.reshape(batch_size, self.num_image_text_embeds, -1)
# text
text_embeds = self.text_proj(text_embeds)
return torch.cat([image_text_embeds, text_embeds], dim=1)
class ImageProjection(nn.Module):
def __init__(
self,
image_embed_dim: int = 768,
cross_attention_dim: int = 768,
num_image_text_embeds: int = 32,
):
super().__init__()
self.num_image_text_embeds = num_image_text_embeds
self.image_embeds = nn.Linear(image_embed_dim, self.num_image_text_embeds * cross_attention_dim)
self.norm = nn.LayerNorm(cross_attention_dim)
def forward(self, image_embeds: torch.Tensor):
batch_size = image_embeds.shape[0]
# image
image_embeds = self.image_embeds(image_embeds)
image_embeds = image_embeds.reshape(batch_size, self.num_image_text_embeds, -1)
image_embeds = self.norm(image_embeds)
return image_embeds
class IPAdapterFullImageProjection(nn.Module):
def __init__(self, image_embed_dim=1024, cross_attention_dim=1024):
super().__init__()
from .attention import FeedForward
self.ff = FeedForward(image_embed_dim, cross_attention_dim, mult=1, activation_fn="gelu")
self.norm = nn.LayerNorm(cross_attention_dim)
def forward(self, image_embeds: torch.Tensor):
return self.norm(self.ff(image_embeds))
class IPAdapterFaceIDImageProjection(nn.Module):
def __init__(self, image_embed_dim=1024, cross_attention_dim=1024, mult=1, num_tokens=1):
super().__init__()
from .attention import FeedForward
self.num_tokens = num_tokens
self.cross_attention_dim = cross_attention_dim
self.ff = FeedForward(image_embed_dim, cross_attention_dim * num_tokens, mult=mult, activation_fn="gelu")
self.norm = nn.LayerNorm(cross_attention_dim)
def forward(self, image_embeds: torch.Tensor):
x = self.ff(image_embeds)
x = x.reshape(-1, self.num_tokens, self.cross_attention_dim)
return self.norm(x)
class CombinedTimestepLabelEmbeddings(nn.Module):
def __init__(self, num_classes, embedding_dim, class_dropout_prob=0.1):
super().__init__()
self.time_proj = Timesteps(num_channels=256, flip_sin_to_cos=True, downscale_freq_shift=1)
self.timestep_embedder = TimestepEmbedding(in_channels=256, time_embed_dim=embedding_dim)
self.class_embedder = LabelEmbedding(num_classes, embedding_dim, class_dropout_prob)
def forward(self, timestep, class_labels, hidden_dtype=None):
timesteps_proj = self.time_proj(timestep)
timesteps_emb = self.timestep_embedder(timesteps_proj.to(dtype=hidden_dtype)) # (N, D)
class_labels = self.class_embedder(class_labels) # (N, D)
conditioning = timesteps_emb + class_labels # (N, D)
return conditioning
class CombinedTimestepTextProjEmbeddings(nn.Module):
def __init__(self, embedding_dim, pooled_projection_dim):
super().__init__()
self.time_proj = Timesteps(num_channels=256, flip_sin_to_cos=True, downscale_freq_shift=0)
self.timestep_embedder = TimestepEmbedding(in_channels=256, time_embed_dim=embedding_dim)
self.text_embedder = PixArtAlphaTextProjection(pooled_projection_dim, embedding_dim, act_fn="silu")
def forward(self, timestep, pooled_projection):
timesteps_proj = self.time_proj(timestep)
timesteps_emb = self.timestep_embedder(timesteps_proj.to(dtype=pooled_projection.dtype)) # (N, D)
pooled_projections = self.text_embedder(pooled_projection)
conditioning = timesteps_emb + pooled_projections
return conditioning
class CombinedTimestepGuidanceTextProjEmbeddings(nn.Module):
def __init__(self, embedding_dim, pooled_projection_dim):
super().__init__()
self.time_proj = Timesteps(num_channels=256, flip_sin_to_cos=True, downscale_freq_shift=0)
self.timestep_embedder = TimestepEmbedding(in_channels=256, time_embed_dim=embedding_dim)
self.guidance_embedder = TimestepEmbedding(in_channels=256, time_embed_dim=embedding_dim)
self.text_embedder = PixArtAlphaTextProjection(pooled_projection_dim, embedding_dim, act_fn="silu")
def forward(self, timestep, guidance, pooled_projection):
timesteps_proj = self.time_proj(timestep)
timesteps_emb = self.timestep_embedder(timesteps_proj.to(dtype=pooled_projection.dtype)) # (N, D)
guidance_proj = self.time_proj(guidance)
guidance_emb = self.guidance_embedder(guidance_proj.to(dtype=pooled_projection.dtype)) # (N, D)
time_guidance_emb = timesteps_emb + guidance_emb
pooled_projections = self.text_embedder(pooled_projection)
conditioning = time_guidance_emb + pooled_projections
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