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import math
from typing import Tuple
import numpy as np
import torch
import torch.nn as nn
import torch.nn.functional as F
from torch.nn.functional import scaled_dot_product_attention
def get_2d_sincos_pos_embed(embed_dim, grid_size, cls_token=False, extra_tokens=0):
"""
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)
"""
grid_h = np.arange(grid_size, dtype=np.float32)
grid_w = np.arange(grid_size, dtype=np.float32)
grid = np.meshgrid(grid_w, grid_h) # here w goes first
grid = np.stack(grid, axis=0)
grid = grid.reshape([2, 1, grid_size, grid_size])
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):
assert embed_dim % 2 == 0
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)
"""
assert embed_dim % 2 == 0
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
def apply_adaln(x, shift, scale):
return x * (1 + scale) + shift
class TimestepConditioner(nn.Module):
def __init__(self, hidden_size, frequency_embedding_size=256):
super().__init__()
self.mlp = nn.Sequential(
nn.Linear(frequency_embedding_size, hidden_size, bias=True),
nn.SiLU(),
nn.Linear(hidden_size, hidden_size, bias=True),
)
self.frequency_embedding_size = frequency_embedding_size
@staticmethod
def timestep_embedding(t, dim, max_period=10):
half = dim // 2
freqs = torch.exp(
-math.log(max_period) * torch.arange(start=0, end=half, dtype=torch.float32, device=t.device) / half
)
args = t[..., 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)
return embedding
def forward(self, t):
t_freq = self.timestep_embedding(t, self.frequency_embedding_size)
mlp_dtype = next(self.mlp.parameters()).dtype
if t_freq.dtype != mlp_dtype:
t_freq = t_freq.to(mlp_dtype)
t_emb = self.mlp(t_freq)
return t_emb
class ClassEmbedder(nn.Module):
def __init__(self, num_classes, hidden_size):
super().__init__()
self.embedding_table = nn.Embedding(num_classes, hidden_size)
self.num_classes = num_classes
def forward(self, labels):
embeddings = self.embedding_table(labels)
return embeddings
class RMSNorm(nn.Module):
def __init__(self, hidden_size, eps=1e-6):
super().__init__()
self.weight = nn.Parameter(torch.ones(hidden_size))
self.variance_epsilon = eps
def forward(self, hidden_states):
input_dtype = hidden_states.dtype
hidden_states = hidden_states.to(torch.float32)
variance = hidden_states.pow(2).mean(-1, keepdim=True)
hidden_states = hidden_states * torch.rsqrt(variance + self.variance_epsilon)
return self.weight * hidden_states.to(input_dtype)
class FeedForward(nn.Module):
def __init__(self, dim: int, hidden_dim: int):
super().__init__()
hidden_dim = int(2 * hidden_dim / 3)
self.w1 = nn.Linear(dim, hidden_dim, bias=False)
self.w3 = nn.Linear(dim, hidden_dim, bias=False)
self.w2 = nn.Linear(hidden_dim, dim, bias=False)
def forward(self, x):
x = self.w2(torch.nn.functional.silu(self.w1(x)) * self.w3(x))
return x
def precompute_freqs_cis_2d(dim: int, height: int, width: int, theta: float = 10000.0, scale=16.0):
x_pos = torch.linspace(0, scale, width)
y_pos = torch.linspace(0, scale, height)
y_pos, x_pos = torch.meshgrid(y_pos, x_pos, indexing="ij")
y_pos = y_pos.reshape(-1)
x_pos = x_pos.reshape(-1)
freqs = 1.0 / (theta ** (torch.arange(0, dim, 4)[: (dim // 4)].float() / dim))
x_freqs = torch.outer(x_pos, freqs).float()
y_freqs = torch.outer(y_pos, freqs).float()
x_cis = torch.polar(torch.ones_like(x_freqs), x_freqs)
y_cis = torch.polar(torch.ones_like(y_freqs), y_freqs)
freqs_cis = torch.cat([x_cis.unsqueeze(dim=-1), y_cis.unsqueeze(dim=-1)], dim=-1)
freqs_cis = freqs_cis.reshape(height * width, -1)
return freqs_cis
def precompute_freqs_cis_ex2d(dim: int, height: int, width:int, theta: float = 10000.0, scale=1.0):
if isinstance(scale, float):
scale = (scale, scale)
x_pos = torch.linspace(0, height*scale[0], width)
y_pos = torch.linspace(0, width*scale[1], height)
y_pos, x_pos = torch.meshgrid(y_pos, x_pos, indexing="ij")
y_pos = y_pos.reshape(-1)
x_pos = x_pos.reshape(-1)
freqs = 1.0 / (theta ** (torch.arange(0, dim, 4)[: (dim // 4)].float() / dim)) # Hc/4
x_freqs = torch.outer(x_pos, freqs).float() # N Hc/4
y_freqs = torch.outer(y_pos, freqs).float() # N Hc/4
x_cis = torch.polar(torch.ones_like(x_freqs), x_freqs)
y_cis = torch.polar(torch.ones_like(y_freqs), y_freqs)
freqs_cis = torch.cat([x_cis.unsqueeze(dim=-1), y_cis.unsqueeze(dim=-1)], dim=-1) # N,Hc/4,2
freqs_cis = freqs_cis.reshape(height*width, -1)
return freqs_cis
def apply_rotary_emb(
xq: torch.Tensor,
xk: torch.Tensor,
freqs_cis: torch.Tensor,
) -> Tuple[torch.Tensor, torch.Tensor]:
freqs_cis = freqs_cis[None, :, None, :]
xq_ = torch.view_as_complex(xq.float().reshape(*xq.shape[:-1], -1, 2))
xk_ = torch.view_as_complex(xk.float().reshape(*xk.shape[:-1], -1, 2))
xq_out = torch.view_as_real(xq_ * freqs_cis).flatten(3)
xk_out = torch.view_as_real(xk_ * freqs_cis).flatten(3)
return xq_out.type_as(xq), xk_out.type_as(xk)
class RotaryAttention(nn.Module):
def __init__(
self,
dim: int,
num_heads: int = 8,
qkv_bias: bool = False,
qk_norm: bool = True,
attn_drop: float = 0.0,
proj_drop: float = 0.0,
norm_layer: nn.Module = RMSNorm,
) -> None:
super().__init__()
assert dim % num_heads == 0, "dim should be divisible by num_heads"
self.dim = dim
self.num_heads = num_heads
self.head_dim = dim // num_heads
self.scale = self.head_dim ** -0.5
self.qkv = nn.Linear(dim, dim * 3, bias=qkv_bias)
self.q_norm = norm_layer(self.head_dim) if qk_norm else nn.Identity()
self.k_norm = norm_layer(self.head_dim) if qk_norm else nn.Identity()
self.attn_drop = nn.Dropout(attn_drop)
self.proj = nn.Linear(dim, dim)
self.proj_drop = nn.Dropout(proj_drop)
def forward(self, x: torch.Tensor, pos, mask) -> torch.Tensor:
B, N, C = x.shape
qkv = self.qkv(x).reshape(B, N, 3, self.num_heads, C // self.num_heads).permute(2, 0, 1, 3, 4)
q, k, v = qkv[0], qkv[1], qkv[2]
q = self.q_norm(q)
k = self.k_norm(k)
q, k = apply_rotary_emb(q, k, freqs_cis=pos)
q = q.view(B, -1, self.num_heads, C // self.num_heads).transpose(1, 2)
k = k.view(B, -1, self.num_heads, C // self.num_heads).transpose(1, 2).contiguous()
v = v.view(B, -1, self.num_heads, C // self.num_heads).transpose(1, 2).contiguous()
x = scaled_dot_product_attention(q, k, v, attn_mask=mask, dropout_p=0.0)
x = x.transpose(1, 2).reshape(B, N, C)
x = self.proj(x)
x = self.proj_drop(x)
return x
class MLP(nn.Module):
def __init__(self, dim: int, mlp_ratio: float = 4.0, drop: float = 0.0):
super().__init__()
hidden_dim = int(dim * mlp_ratio)
self.fc1 = nn.Linear(dim, hidden_dim)
self.act = nn.GELU()
self.fc2 = nn.Linear(hidden_dim, dim)
self.drop = nn.Dropout(drop)
def forward(self, x: torch.Tensor) -> torch.Tensor:
x = self.fc1(x)
x = self.act(x)
x = self.drop(x)
x = self.fc2(x)
x = self.drop(x)
return x
class FinalLayer(nn.Module):
def __init__(self, hidden_size, out_channels):
super().__init__()
self.norm = RMSNorm(hidden_size, eps=1e-6)
self.linear = nn.Linear(hidden_size, out_channels, bias=True)
def forward(self, x):
x = self.norm(x)
x = self.linear(x)
return x
class PixelDiTJointAttnProcessor:
"""
Default attention processor for MMDiTJointAttention.
Receives the pre-computed joint (text+image) Q/K/V tensors and returns the attended output.
Swap this out to inject custom attention behaviour (e.g. IP-Adapter, PAG) without touching
the core attention module.
"""
def __call__(
self,
attn,
q_joint: torch.Tensor,
k_joint: torch.Tensor,
v_joint: torch.Tensor,
attn_mask=None,
) -> torch.Tensor:
return F.scaled_dot_product_attention(
q_joint, k_joint, v_joint, dropout_p=0.0, attn_mask=attn_mask
)