import numpy as np import torch import torch.nn as nn import math from functools import lru_cache from torch.utils.checkpoint import checkpoint def modulate(x, shift, scale=None): if shift is None: return x * (1 + scale) return x * (1 + scale) + shift class RMSNorm(nn.Module): def __init__(self, dim: int, eps: float = 1e-5): super().__init__() self.eps = eps self.weight = nn.Parameter(torch.ones(dim)) def forward(self, x: torch.Tensor) -> torch.Tensor: output = x * torch.rsqrt(x.pow(2).mean(-1, keepdim=True) + self.eps) return output * self.weight class TimestepEmbedder(nn.Module): """ Embeds scalar timesteps into vector representations. """ 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: torch.Tensor, dim: int, max_period: float = 10000.0): """ 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. """ # https://github.com/openai/glide-text2im/blob/main/glide_text2im/nn.py half = dim // 2 freqs = torch.exp(-math.log(max_period) * torch.arange(start=0, end=half, dtype=torch.float32) / half).to( device=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) return embedding def forward(self, t): t_freq = self.timestep_embedding(t, self.frequency_embedding_size) t_emb = self.mlp(t_freq.to(self.mlp[0].weight.dtype)) return t_emb class ResBlock(nn.Module): def __init__(self, channels, mlp_ratio=1.0): super().__init__() self.channels = channels self.intermediate_size = int(channels * mlp_ratio) self.in_ln = nn.LayerNorm(self.channels, eps=1e-6) self.mlp = nn.Sequential( nn.Linear(self.channels, self.intermediate_size), nn.SiLU(), nn.Linear(self.intermediate_size, self.channels), ) self.adaLN_modulation = nn.Sequential(nn.SiLU(), nn.Linear(channels, 3 * channels, bias=True)) def forward(self, x, y): shift_mlp, scale_mlp, gate_mlp = self.adaLN_modulation(y).chunk(3, dim=-1) h = modulate(self.in_ln(x), shift_mlp, scale_mlp) h = self.mlp(h) return x + gate_mlp * h # class FinalLayer(nn.Module): # def __init__(self, model_channels, out_channels): # super().__init__() # self.norm_final = nn.LayerNorm(model_channels, elementwise_affine=False, eps=1e-6) # self.linear = nn.Linear(model_channels, out_channels, bias=True) # self.adaLN_modulation = nn.Sequential(nn.SiLU(), nn.Linear(model_channels, 2 * model_channels, bias=True)) # def forward(self, x, c): # shift, scale = self.adaLN_modulation(c).chunk(2, dim=-1) # x = modulate(self.norm_final(x), shift, scale) # x = self.linear(x) # return x # class SimpleMLPAdaLN(nn.Module): # def __init__(self, input_dim, out_dim, dim=1536, layers=12, mlp_ratio=1.0): # super().__init__() # self.input_dim = input_dim # self.out_dim = out_dim # self.dim = dim # self.layers = layers # self.mlp_ratio = mlp_ratio # self.time_embed = TimestepEmbedder(dim) # self.input_proj = nn.Linear(input_dim, dim) # res_blocks = [] # for _ in range(layers): # res_blocks.append(ResBlock(dim, mlp_ratio)) # self.res_blocks = nn.ModuleList(res_blocks) # self.final_layer = FinalLayer(dim, out_dim) # self.grad_checkpointing = False # self.initialize_weights() # def initialize_weights(self): # def _basic_init(module): # if isinstance(module, nn.Linear): # torch.nn.init.xavier_uniform_(module.weight) # if module.bias is not None: # nn.init.constant_(module.bias, 0) # self.apply(_basic_init) # # Initialize timestep embedding MLP # nn.init.normal_(self.time_embed.mlp[0].weight, std=0.02) # nn.init.normal_(self.time_embed.mlp[2].weight, std=0.02) # # Zero-out adaLN modulation layers # for block in self.res_blocks: # nn.init.constant_(block.adaLN_modulation[-1].weight, 0) # nn.init.constant_(block.adaLN_modulation[-1].bias, 0) # # Zero-out output layers # nn.init.constant_(self.final_layer.adaLN_modulation[-1].weight, 0) # nn.init.constant_(self.final_layer.adaLN_modulation[-1].bias, 0) # nn.init.constant_(self.final_layer.linear.weight, 0) # nn.init.constant_(self.final_layer.linear.bias, 0) # def forward(self, x, t): # """ # x.shape = (bsz, input_dim) # t.shape = (bsz,) # """ # x = self.input_proj(x) # t = self.time_embed(t) # y = t # for block in self.res_blocks: # if self.grad_checkpointing and self.training: # x = checkpoint(block, x, y, use_reentrant=True) # else: # x = block(x, y) # return self.final_layer(x, y) class FlowMatchingHead(nn.Module): def __init__(self, input_dim, out_dim, dim=1536, layers=12, mlp_ratio=1.0): super(FlowMatchingHead, self).__init__() self.net = SimpleMLPAdaLN(input_dim=input_dim, out_dim=out_dim, dim=dim, layers=layers, mlp_ratio=mlp_ratio) @property def dtype(self): return self.net.input_proj.weight.dtype @property def device(self): return self.net.input_proj.weight.device def forward(self, x, t): x = self.net(x, t) return x def precompute_freqs_cis_2d(dim: int, height: int, width:int, theta: float = 10000.0, scale=16.0): # assert H * H == end # flat_patch_pos = torch.linspace(-1, 1, end) # N = end 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)) # 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 class NerfEmbedder(nn.Module): def __init__(self, in_channels, hidden_size_input, max_freqs): 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, bias=True), ) @lru_cache def fetch_pos(self, patch_size, device, dtype): pos = precompute_freqs_cis_2d(self.max_freqs ** 2 * 2, patch_size, patch_size).real pos = pos[None, :, :].to(device=device, dtype=dtype) return pos def forward(self, inputs): B, P2, C = inputs.shape patch_size = int(P2 ** 0.5) device = inputs.device dtype = inputs.dtype dct = self.fetch_pos(patch_size, device, dtype) dct = dct.repeat(B, 1, 1) inputs = torch.cat([inputs, dct], dim=-1) inputs = self.embedder(inputs) return inputs class SimpleMLPAdaLN(nn.Module): """ The MLP for Diffusion Loss. :param in_channels: channels in the input Tensor. :param model_channels: base channel count for the model. :param out_channels: channels in the output Tensor. :param z_channels: channels in the condition. :param num_res_blocks: number of residual blocks per downsample. """ def __init__( self, in_channels, model_channels, out_channels, z_channels, num_res_blocks, patch_size, grad_checkpointing=False ): super().__init__() self.in_channels = in_channels self.model_channels = model_channels self.out_channels = out_channels self.num_res_blocks = num_res_blocks self.grad_checkpointing = grad_checkpointing self.patch_size = patch_size self.cond_embed = nn.Linear(z_channels, patch_size**2*model_channels) self.input_proj = nn.Linear(in_channels, model_channels) res_blocks = [] for i in range(num_res_blocks): res_blocks.append(ResBlock( model_channels, )) self.res_blocks = nn.ModuleList(res_blocks) self.final_layer = FinalLayer(model_channels, out_channels) self.initialize_weights() def initialize_weights(self): def _basic_init(module): if isinstance(module, nn.Linear): torch.nn.init.xavier_uniform_(module.weight) if module.bias is not None: nn.init.constant_(module.bias, 0) self.apply(_basic_init) # Zero-out adaLN modulation layers for block in self.res_blocks: nn.init.constant_(block.adaLN_modulation[-1].weight, 0) nn.init.constant_(block.adaLN_modulation[-1].bias, 0) # Zero-out output layers nn.init.constant_(self.final_layer.linear.weight, 0) nn.init.constant_(self.final_layer.linear.bias, 0) def forward(self, x, c): """ Apply the model to an input batch. :param x: an [N x C] Tensor of inputs. :param t: a 1-D batch of timesteps. :param c: conditioning from AR transformer. :return: an [N x C] Tensor of outputs. """ x = self.input_proj(x) c = self.cond_embed(c) y = c.reshape(-1, self.patch_size**2, self.model_channels) for block in self.res_blocks: x = block(x, y) return self.final_layer(x) class FinalLayer(nn.Module): """ The final layer adopted from DiT. """ def __init__(self, model_channels, out_channels): super().__init__() self.norm_final = nn.LayerNorm(model_channels, elementwise_affine=False, eps=1e-6) self.linear = nn.Linear(model_channels, out_channels, bias=True) def forward(self, x): x = self.norm_final(x) x = self.linear(x) return x ################################################################################# # Sine/Cosine Positional Embedding Functions # ################################################################################# # https://github.com/facebookresearch/mae/blob/main/util/pos_embed.py def get_2d_sincos_pos_embed(embed_dim, grid_size, cls_token=False, extra_tokens=0, pe_interpolation=1.0): """ 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) / pe_interpolation grid_w = np.arange(grid_size, dtype=np.float32) / pe_interpolation 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 # 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) """ 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 # -------------------------------------------------------- # Interpolate position embeddings for high-resolution # References: # DeiT: https://github.com/facebookresearch/deit # -------------------------------------------------------- def interpolate_pos_embed(model_path, pe_key: str = "gen_pos_embed", new_len: int = 4096): state_dict = torch.load(model_path, map_location="cpu") pos_embed_1d = state_dict[pe_key] _, ori_len, embed_dim = pos_embed_1d.shape ori_size = int(ori_len**0.5) new_size = int(new_len**0.5) if ori_size != new_size: logger.info("Position interpolate from %dx%d to %dx%d" % (ori_size, ori_size, new_size, new_size)) pos_embed_2d = pos_embed_1d.reshape(-1, ori_size, ori_size, embed_dim).permute(0, 3, 1, 2) pos_embed_2d = torch.nn.functional.interpolate( pos_embed_2d, size=(new_size, new_size), mode="bicubic", align_corners=False ) pos_embed_1d = pos_embed_2d.permute(0, 2, 3, 1).flatten(1, 2) state_dict[pe_key] = pos_embed_1d torch.save(state_dict, model_path) class PositionEmbedding(nn.Module): def __init__(self, max_num_patch_per_side, hidden_size): super().__init__() self.max_num_patch_per_side = max_num_patch_per_side self.hidden_size = hidden_size self.pos_embed = nn.Parameter( torch.zeros(max_num_patch_per_side ** 2, hidden_size), requires_grad=False ) self._init_weights() def _init_weights(self): # Initialize (and freeze) pos_embed by sin-cos embedding: pos_embed = get_2d_sincos_pos_embed(self.hidden_size, self.max_num_patch_per_side) self.pos_embed.data.copy_(torch.from_numpy(pos_embed).float()) def forward(self, position_ids): return self.pos_embed[position_ids] class PostConvSmoother(nn.Module): def __init__(self, in_channels=3, hidden_channels=64): super().__init__() self.net = nn.Sequential( nn.Conv2d(in_channels, hidden_channels, kernel_size=3, padding=1), nn.SiLU(), nn.Conv2d(hidden_channels, in_channels, kernel_size=3, padding=1) ) nn.init.zeros_(self.net[2].weight) nn.init.zeros_(self.net[2].bias) def forward(self, x): return x + self.net(x)