| import math |
| from dataclasses import dataclass |
|
|
| import torch |
| from einops import rearrange |
| from torch import Tensor, nn |
| import torch.nn.functional as F |
|
|
| from .math import attention, rope |
| from functools import lru_cache |
|
|
|
|
| class EmbedND(nn.Module): |
| def __init__(self, dim: int, theta: int, axes_dim: list[int]): |
| super().__init__() |
| self.dim = dim |
| self.theta = theta |
| self.axes_dim = axes_dim |
|
|
| def forward(self, ids: Tensor) -> Tensor: |
| n_axes = ids.shape[-1] |
| emb = torch.cat( |
| [rope(ids[..., i], self.axes_dim[i], self.theta) for i in range(n_axes)], |
| dim=-3, |
| ) |
|
|
| return emb.unsqueeze(1) |
|
|
|
|
| def timestep_embedding(t: Tensor, dim, max_period=10000, time_factor: float = 1000.0): |
| """ |
| Create sinusoidal timestep embeddings. |
| :param t: 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, D) Tensor of positional embeddings. |
| """ |
| t = time_factor * t |
| half = dim // 2 |
| freqs = torch.exp( |
| -math.log(max_period) |
| * torch.arange(start=0, end=half, dtype=torch.float32) |
| / half |
| ).to(t.device) |
|
|
| 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) |
| if torch.is_floating_point(t): |
| embedding = embedding.to(t) |
| return embedding |
|
|
|
|
| class MLPEmbedder(nn.Module): |
| def __init__(self, in_dim: int, hidden_dim: int): |
| super().__init__() |
| self.in_layer = nn.Linear(in_dim, hidden_dim, bias=True) |
| self.silu = nn.SiLU() |
| self.out_layer = nn.Linear(hidden_dim, hidden_dim, bias=True) |
|
|
| @property |
| def device(self): |
| |
| return next(self.parameters()).device |
|
|
| def forward(self, x: Tensor) -> Tensor: |
| return self.out_layer(self.silu(self.in_layer(x))) |
|
|
|
|
| class RMSNorm(torch.nn.Module): |
| def __init__(self, dim: int, use_compiled: bool = False): |
| super().__init__() |
| self.scale = nn.Parameter(torch.ones(dim)) |
| self.use_compiled = use_compiled |
|
|
| def _forward(self, x: Tensor): |
| x_dtype = x.dtype |
| x = x.float() |
| rrms = torch.rsqrt(torch.mean(x**2, dim=-1, keepdim=True) + 1e-6) |
| return (x * rrms).to(dtype=x_dtype) * self.scale |
|
|
| def forward(self, x: Tensor): |
| return F.rms_norm(x, self.scale.shape, weight=self.scale, eps=1e-6) |
| |
| |
| |
| |
|
|
|
|
| def distribute_modulations(tensor: torch.Tensor, depth_single_blocks, depth_double_blocks): |
| """ |
| Distributes slices of the tensor into the block_dict as ModulationOut objects. |
| |
| Args: |
| tensor (torch.Tensor): Input tensor with shape [batch_size, vectors, dim]. |
| """ |
| batch_size, vectors, dim = tensor.shape |
|
|
| block_dict = {} |
|
|
| |
| |
| |
| for i in range(depth_single_blocks): |
| key = f"single_blocks.{i}.modulation.lin" |
| block_dict[key] = None |
|
|
| |
| for i in range(depth_double_blocks): |
| key = f"double_blocks.{i}.img_mod.lin" |
| block_dict[key] = None |
|
|
| |
| for i in range(depth_double_blocks): |
| key = f"double_blocks.{i}.txt_mod.lin" |
| block_dict[key] = None |
|
|
| |
| block_dict["final_layer.adaLN_modulation.1"] = None |
| |
| |
| |
|
|
| idx = 0 |
|
|
| for key in block_dict.keys(): |
| if "single_blocks" in key: |
| |
| block_dict[key] = ModulationOut( |
| shift=tensor[:, idx : idx + 1, :], |
| scale=tensor[:, idx + 1 : idx + 2, :], |
| gate=tensor[:, idx + 2 : idx + 3, :], |
| ) |
| idx += 3 |
|
|
| elif "img_mod" in key: |
| |
| double_block = [] |
| for _ in range(2): |
| double_block.append( |
| ModulationOut( |
| shift=tensor[:, idx : idx + 1, :], |
| scale=tensor[:, idx + 1 : idx + 2, :], |
| gate=tensor[:, idx + 2 : idx + 3, :], |
| ) |
| ) |
| idx += 3 |
| block_dict[key] = double_block |
|
|
| elif "txt_mod" in key: |
| |
| double_block = [] |
| for _ in range(2): |
| double_block.append( |
| ModulationOut( |
| shift=tensor[:, idx : idx + 1, :], |
| scale=tensor[:, idx + 1 : idx + 2, :], |
| gate=tensor[:, idx + 2 : idx + 3, :], |
| ) |
| ) |
| idx += 3 |
| block_dict[key] = double_block |
|
|
| elif "final_layer" in key: |
| |
| block_dict[key] = [ |
| tensor[:, idx : idx + 1, :], |
| tensor[:, idx + 1 : idx + 2, :], |
| ] |
| idx += 2 |
|
|
| return block_dict |
|
|
|
|
|
|
| class NerfEmbedder(nn.Module): |
| """ |
| An embedder module that combines input features with a 2D positional |
| encoding that mimics the Discrete Cosine Transform (DCT). |
| |
| This module takes an input tensor of shape (B, P^2, C), where P is the |
| patch size, and enriches it with positional information before projecting |
| it to a new hidden size. |
| """ |
| def __init__(self, in_channels, hidden_size_input, max_freqs): |
| """ |
| Initializes the NerfEmbedder. |
| |
| Args: |
| in_channels (int): The number of channels in the input tensor. |
| hidden_size_input (int): The desired dimension of the output embedding. |
| max_freqs (int): The number of frequency components to use for both |
| the x and y dimensions of the positional encoding. |
| The total number of positional features will be max_freqs^2. |
| """ |
| super().__init__() |
| self.max_freqs = max_freqs |
| self.hidden_size_input = hidden_size_input |
| |
| |
| |
| self.embedder = nn.Sequential( |
| nn.Linear(in_channels + max_freqs**2, hidden_size_input) |
| ) |
|
|
| @lru_cache(maxsize=4) |
| def fetch_pos(self, patch_size, device, dtype): |
| """ |
| Generates and caches 2D DCT-like positional embeddings for a given patch size. |
| |
| The LRU cache is a performance optimization that avoids recomputing the |
| same positional grid on every forward pass. |
| |
| Args: |
| patch_size (int): The side length of the square input patch. |
| device: The torch device to create the tensors on. |
| dtype: The torch dtype for the tensors. |
| |
| Returns: |
| A tensor of shape (1, patch_size^2, max_freqs^2) containing the |
| positional embeddings. |
| """ |
| |
| pos_x = torch.linspace(0, 1, patch_size, device=device, dtype=dtype) |
| pos_y = torch.linspace(0, 1, patch_size, device=device, dtype=dtype) |
| |
| |
| pos_y, pos_x = torch.meshgrid(pos_y, pos_x, indexing="ij") |
| |
| |
| |
| pos_x = pos_x.reshape(-1, 1, 1) |
| pos_y = pos_y.reshape(-1, 1, 1) |
| |
| |
| freqs = torch.linspace(0, self.max_freqs - 1, self.max_freqs, dtype=dtype, device=device) |
| |
| |
| |
| |
| freqs_x = freqs[None, :, None] |
| freqs_y = freqs[None, None, :] |
| |
| |
| |
| coeffs = (1 + freqs_x * freqs_y) ** -1 |
| |
| |
| |
| dct_x = torch.cos(pos_x * freqs_x * torch.pi) |
| dct_y = torch.cos(pos_y * freqs_y * torch.pi) |
| |
| |
| |
| |
| |
| dct = (dct_x * dct_y * coeffs).view(1, -1, self.max_freqs ** 2) |
| |
| return dct |
|
|
| def forward(self, inputs): |
| """ |
| Forward pass for the embedder. |
| |
| Args: |
| inputs (Tensor): The input tensor of shape (B, P^2, C). |
| |
| Returns: |
| Tensor: The output tensor of shape (B, P^2, hidden_size_input). |
| """ |
| |
| B, P2, C = inputs.shape |
| |
| original_dtype = inputs.dtype |
| |
| with torch.autocast("cuda", enabled=False): |
| |
| patch_size = int(P2 ** 0.5) |
|
|
| inputs = inputs.float() |
| |
| dct = self.fetch_pos(patch_size, inputs.device, torch.float32) |
| |
| |
| dct = dct.repeat(B, 1, 1) |
| |
| |
| |
| inputs = torch.cat([inputs, dct], dim=-1) |
| |
| |
| inputs = self.embedder.float()(inputs) |
| |
| return inputs.to(original_dtype) |
|
|
|
|
|
|
| class NerfGLUBlock(nn.Module): |
| """ |
| A NerfBlock using a Gated Linear Unit (GLU) like MLP. |
| """ |
| def __init__(self, hidden_size_s, hidden_size_x, mlp_ratio, use_compiled): |
| super().__init__() |
| |
| |
| |
| total_params = 3 * hidden_size_x**2 * mlp_ratio |
| self.param_generator = nn.Linear(hidden_size_s, total_params) |
| self.norm = RMSNorm(hidden_size_x, use_compiled) |
| self.mlp_ratio = mlp_ratio |
| |
| |
|
|
|
|
| def forward(self, x, s): |
| batch_size, num_x, hidden_size_x = x.shape |
| mlp_params = self.param_generator(s) |
|
|
| |
| fc1_gate_params, fc1_value_params, fc2_params = mlp_params.chunk(3, dim=-1) |
|
|
| |
| fc1_gate = fc1_gate_params.view(batch_size, hidden_size_x, hidden_size_x * self.mlp_ratio) |
| fc1_value = fc1_value_params.view(batch_size, hidden_size_x, hidden_size_x * self.mlp_ratio) |
| fc2 = fc2_params.view(batch_size, hidden_size_x * self.mlp_ratio, hidden_size_x) |
|
|
| |
| fc1_gate = torch.nn.functional.normalize(fc1_gate, dim=-2) |
| fc1_value = torch.nn.functional.normalize(fc1_value, dim=-2) |
| fc2 = torch.nn.functional.normalize(fc2, dim=-2) |
|
|
| res_x = x |
| x = self.norm(x) |
|
|
| |
| x = torch.bmm(torch.nn.functional.silu(torch.bmm(x, fc1_gate)) * torch.bmm(x, fc1_value), fc2) |
| |
| x = x + res_x |
| return x |
|
|
|
|
| class NerfFinalLayer(nn.Module): |
| def __init__(self, hidden_size, out_channels, use_compiled): |
| super().__init__() |
| self.norm = RMSNorm(hidden_size, use_compiled=use_compiled) |
| self.linear = nn.Linear(hidden_size, out_channels) |
| nn.init.zeros_(self.linear.weight) |
| nn.init.zeros_(self.linear.bias) |
|
|
| def forward(self, x): |
| x = self.norm(x) |
| x = self.linear(x) |
| return x |
|
|
|
|
| class NerfFinalLayerConv(nn.Module): |
| def __init__(self, hidden_size, out_channels, use_compiled): |
| super().__init__() |
| self.norm = RMSNorm(hidden_size, use_compiled=use_compiled) |
|
|
| |
| self.conv = nn.Conv2d( |
| in_channels=hidden_size, |
| out_channels=out_channels, |
| kernel_size=3, |
| padding=1 |
| ) |
| nn.init.zeros_(self.conv.weight) |
| nn.init.zeros_(self.conv.bias) |
|
|
| def forward(self, x): |
| |
| |
| |
| x_permuted = x.permute(0, 2, 3, 1) |
|
|
| |
| x_norm = self.norm(x_permuted) |
|
|
| |
| x_norm_permuted = x_norm.permute(0, 3, 1, 2) |
|
|
| |
| x = self.conv(x_norm_permuted) |
| return x |
| |
|
|
| class Approximator(nn.Module): |
| def __init__(self, in_dim: int, out_dim: int, hidden_dim: int, n_layers=4): |
| super().__init__() |
| self.in_proj = nn.Linear(in_dim, hidden_dim, bias=True) |
| self.layers = nn.ModuleList( |
| [MLPEmbedder(hidden_dim, hidden_dim) for x in range(n_layers)] |
| ) |
| self.norms = nn.ModuleList([RMSNorm(hidden_dim) for x in range(n_layers)]) |
| self.out_proj = nn.Linear(hidden_dim, out_dim) |
|
|
| @property |
| def device(self): |
| |
| return next(self.parameters()).device |
|
|
| def forward(self, x: Tensor) -> Tensor: |
| x = x.to(self.in_proj.weight.dtype) |
| x = self.in_proj(x) |
|
|
| for layer, norms in zip(self.layers, self.norms): |
| x = x + layer(norms(x)) |
|
|
| x = self.out_proj(x) |
|
|
| return x |
|
|
|
|
| class QKNorm(torch.nn.Module): |
| def __init__(self, dim: int, use_compiled: bool = False): |
| super().__init__() |
| self.query_norm = RMSNorm(dim, use_compiled=use_compiled) |
| self.key_norm = RMSNorm(dim, use_compiled=use_compiled) |
| self.use_compiled = use_compiled |
|
|
| def forward(self, q: Tensor, k: Tensor, v: Tensor) -> tuple[Tensor, Tensor]: |
| q = self.query_norm(q) |
| k = self.key_norm(k) |
| return q.to(v), k.to(v) |
|
|
|
|
| class SelfAttention(nn.Module): |
| def __init__( |
| self, |
| dim: int, |
| num_heads: int = 8, |
| qkv_bias: bool = False, |
| use_compiled: bool = False, |
| ): |
| super().__init__() |
| self.num_heads = num_heads |
| head_dim = dim // num_heads |
|
|
| self.qkv = nn.Linear(dim, dim * 3, bias=qkv_bias) |
| self.norm = QKNorm(head_dim, use_compiled=use_compiled) |
| self.proj = nn.Linear(dim, dim) |
| self.use_compiled = use_compiled |
|
|
| def forward(self, x: Tensor, pe: Tensor) -> Tensor: |
| qkv = self.qkv(x) |
| q, k, v = rearrange(qkv, "B L (K H D) -> K B H L D", K=3, H=self.num_heads) |
| q, k = self.norm(q, k, v) |
| x = attention(q, k, v, pe=pe) |
| x = self.proj(x) |
| return x |
|
|
|
|
| @dataclass |
| class ModulationOut: |
| shift: Tensor |
| scale: Tensor |
| gate: Tensor |
|
|
|
|
| def _modulation_shift_scale_fn(x, scale, shift): |
| return (1 + scale) * x + shift |
|
|
|
|
| def _modulation_gate_fn(x, gate, gate_params): |
| return x + gate * gate_params |
|
|
|
|
| class DoubleStreamBlock(nn.Module): |
| def __init__( |
| self, |
| hidden_size: int, |
| num_heads: int, |
| mlp_ratio: float, |
| qkv_bias: bool = False, |
| use_compiled: bool = False, |
| ): |
| super().__init__() |
|
|
| mlp_hidden_dim = int(hidden_size * mlp_ratio) |
| self.num_heads = num_heads |
| self.hidden_size = hidden_size |
| self.img_norm1 = nn.LayerNorm(hidden_size, elementwise_affine=False, eps=1e-6) |
| self.img_attn = SelfAttention( |
| dim=hidden_size, |
| num_heads=num_heads, |
| qkv_bias=qkv_bias, |
| use_compiled=use_compiled, |
| ) |
|
|
| self.img_norm2 = nn.LayerNorm(hidden_size, elementwise_affine=False, eps=1e-6) |
| self.img_mlp = nn.Sequential( |
| nn.Linear(hidden_size, mlp_hidden_dim, bias=True), |
| nn.GELU(approximate="tanh"), |
| nn.Linear(mlp_hidden_dim, hidden_size, bias=True), |
| ) |
|
|
| self.txt_norm1 = nn.LayerNorm(hidden_size, elementwise_affine=False, eps=1e-6) |
| self.txt_attn = SelfAttention( |
| dim=hidden_size, |
| num_heads=num_heads, |
| qkv_bias=qkv_bias, |
| use_compiled=use_compiled, |
| ) |
|
|
| self.txt_norm2 = nn.LayerNorm(hidden_size, elementwise_affine=False, eps=1e-6) |
| self.txt_mlp = nn.Sequential( |
| nn.Linear(hidden_size, mlp_hidden_dim, bias=True), |
| nn.GELU(approximate="tanh"), |
| nn.Linear(mlp_hidden_dim, hidden_size, bias=True), |
| ) |
| self.use_compiled = use_compiled |
|
|
| @property |
| def device(self): |
| |
| return next(self.parameters()).device |
|
|
| def modulation_shift_scale_fn(self, x, scale, shift): |
| if self.use_compiled: |
| return torch.compile(_modulation_shift_scale_fn)(x, scale, shift) |
| else: |
| return _modulation_shift_scale_fn(x, scale, shift) |
|
|
| def modulation_gate_fn(self, x, gate, gate_params): |
| if self.use_compiled: |
| return torch.compile(_modulation_gate_fn)(x, gate, gate_params) |
| else: |
| return _modulation_gate_fn(x, gate, gate_params) |
|
|
| def forward( |
| self, |
| img: Tensor, |
| txt: Tensor, |
| pe: Tensor, |
| distill_vec: list[ModulationOut], |
| mask: Tensor, |
| ) -> tuple[Tensor, Tensor]: |
| (img_mod1, img_mod2), (txt_mod1, txt_mod2) = distill_vec |
|
|
| |
| img_modulated = self.img_norm1(img) |
| |
| |
| img_modulated = self.modulation_shift_scale_fn( |
| img_modulated, img_mod1.scale, img_mod1.shift |
| ) |
| img_qkv = self.img_attn.qkv(img_modulated) |
| img_q, img_k, img_v = rearrange( |
| img_qkv, "B L (K H D) -> K B H L D", K=3, H=self.num_heads |
| ) |
| img_q, img_k = self.img_attn.norm(img_q, img_k, img_v) |
|
|
| |
| txt_modulated = self.txt_norm1(txt) |
| |
| |
| txt_modulated = self.modulation_shift_scale_fn( |
| txt_modulated, txt_mod1.scale, txt_mod1.shift |
| ) |
| txt_qkv = self.txt_attn.qkv(txt_modulated) |
| txt_q, txt_k, txt_v = rearrange( |
| txt_qkv, "B L (K H D) -> K B H L D", K=3, H=self.num_heads |
| ) |
| txt_q, txt_k = self.txt_attn.norm(txt_q, txt_k, txt_v) |
|
|
| |
| q = torch.cat((txt_q, img_q), dim=2) |
| k = torch.cat((txt_k, img_k), dim=2) |
| v = torch.cat((txt_v, img_v), dim=2) |
|
|
| attn = attention(q, k, v, pe=pe, mask=mask) |
| txt_attn, img_attn = attn[:, : txt.shape[1]], attn[:, txt.shape[1] :] |
|
|
| |
| |
| |
| |
| img = self.modulation_gate_fn(img, img_mod1.gate, self.img_attn.proj(img_attn)) |
| img = self.modulation_gate_fn( |
| img, |
| img_mod2.gate, |
| self.img_mlp( |
| self.modulation_shift_scale_fn( |
| self.img_norm2(img), img_mod2.scale, img_mod2.shift |
| ) |
| ), |
| ) |
|
|
| |
| |
| |
| |
| txt = self.modulation_gate_fn(txt, txt_mod1.gate, self.txt_attn.proj(txt_attn)) |
| txt = self.modulation_gate_fn( |
| txt, |
| txt_mod2.gate, |
| self.txt_mlp( |
| self.modulation_shift_scale_fn( |
| self.txt_norm2(txt), txt_mod2.scale, txt_mod2.shift |
| ) |
| ), |
| ) |
|
|
| return img, txt |
|
|
|
|
| class SingleStreamBlock(nn.Module): |
| """ |
| A DiT block with parallel linear layers as described in |
| https://arxiv.org/abs/2302.05442 and adapted modulation interface. |
| """ |
|
|
| def __init__( |
| self, |
| hidden_size: int, |
| num_heads: int, |
| mlp_ratio: float = 4.0, |
| qk_scale: float | None = None, |
| use_compiled: bool = False, |
| ): |
| super().__init__() |
| self.hidden_dim = hidden_size |
| self.num_heads = num_heads |
| head_dim = hidden_size // num_heads |
| self.scale = qk_scale or head_dim**-0.5 |
|
|
| self.mlp_hidden_dim = int(hidden_size * mlp_ratio) |
| |
| self.linear1 = nn.Linear(hidden_size, hidden_size * 3 + self.mlp_hidden_dim) |
| |
| self.linear2 = nn.Linear(hidden_size + self.mlp_hidden_dim, hidden_size) |
|
|
| self.norm = QKNorm(head_dim, use_compiled=use_compiled) |
|
|
| self.hidden_size = hidden_size |
| self.pre_norm = nn.LayerNorm(hidden_size, elementwise_affine=False, eps=1e-6) |
|
|
| self.mlp_act = nn.GELU(approximate="tanh") |
| self.use_compiled = use_compiled |
|
|
| @property |
| def device(self): |
| |
| return next(self.parameters()).device |
|
|
| def modulation_shift_scale_fn(self, x, scale, shift): |
| if self.use_compiled: |
| return torch.compile(_modulation_shift_scale_fn)(x, scale, shift) |
| else: |
| return _modulation_shift_scale_fn(x, scale, shift) |
|
|
| def modulation_gate_fn(self, x, gate, gate_params): |
| if self.use_compiled: |
| return torch.compile(_modulation_gate_fn)(x, gate, gate_params) |
| else: |
| return _modulation_gate_fn(x, gate, gate_params) |
|
|
| def forward( |
| self, x: Tensor, pe: Tensor, distill_vec: list[ModulationOut], mask: Tensor |
| ) -> Tensor: |
| mod = distill_vec |
| |
| |
| x_mod = self.modulation_shift_scale_fn(self.pre_norm(x), mod.scale, mod.shift) |
| qkv, mlp = torch.split( |
| self.linear1(x_mod), [3 * self.hidden_size, self.mlp_hidden_dim], dim=-1 |
| ) |
|
|
| q, k, v = rearrange(qkv, "B L (K H D) -> K B H L D", K=3, H=self.num_heads) |
| q, k = self.norm(q, k, v) |
|
|
| |
| attn = attention(q, k, v, pe=pe, mask=mask) |
| |
| output = self.linear2(torch.cat((attn, self.mlp_act(mlp)), 2)) |
| |
| |
| return self.modulation_gate_fn(x, mod.gate, output) |
|
|
|
|
| class LastLayer(nn.Module): |
| def __init__( |
| self, |
| hidden_size: int, |
| patch_size: int, |
| out_channels: int, |
| use_compiled: bool = False, |
| ): |
| super().__init__() |
| self.norm_final = nn.LayerNorm(hidden_size, elementwise_affine=False, eps=1e-6) |
| self.linear = nn.Linear( |
| hidden_size, patch_size * patch_size * out_channels, bias=True |
| ) |
| self.use_compiled = use_compiled |
|
|
| @property |
| def device(self): |
| |
| return next(self.parameters()).device |
|
|
| def modulation_shift_scale_fn(self, x, scale, shift): |
| if self.use_compiled: |
| return torch.compile(_modulation_shift_scale_fn)(x, scale, shift) |
| else: |
| return _modulation_shift_scale_fn(x, scale, shift) |
|
|
| def forward(self, x: Tensor, distill_vec: list[Tensor]) -> Tensor: |
| shift, scale = distill_vec |
| shift = shift.squeeze(1) |
| scale = scale.squeeze(1) |
| |
| |
| x = self.modulation_shift_scale_fn( |
| self.norm_final(x), scale[:, None, :], shift[:, None, :] |
| ) |
| x = self.linear(x) |
| return x |
|
|