Add TRELLIS codebase
This commit is contained in:
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from . import models
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from . import modules
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from . import pipelines
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from . import renderers
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from . import representations
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from . import utils
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import importlib
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__attributes = {
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'SparseStructureEncoder': 'sparse_structure_vae',
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'SparseStructureDecoder': 'sparse_structure_vae',
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'SparseStructureFlowModel': 'sparse_structure_flow',
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'SLatEncoder': 'structured_latent_vae',
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'SLatGaussianDecoder': 'structured_latent_vae',
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'SLatRadianceFieldDecoder': 'structured_latent_vae',
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'SLatMeshDecoder': 'structured_latent_vae',
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'SLatFlowModel': 'structured_latent_flow',
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}
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__submodules = []
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__all__ = list(__attributes.keys()) + __submodules
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def __getattr__(name):
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if name not in globals():
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if name in __attributes:
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module_name = __attributes[name]
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module = importlib.import_module(f".{module_name}", __name__)
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globals()[name] = getattr(module, name)
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elif name in __submodules:
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module = importlib.import_module(f".{name}", __name__)
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globals()[name] = module
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else:
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raise AttributeError(f"module {__name__} has no attribute {name}")
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return globals()[name]
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def from_pretrained(path: str, **kwargs):
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"""
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Load a model from a pretrained checkpoint.
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Args:
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path: The path to the checkpoint. Can be either local path or a Hugging Face model name.
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NOTE: config file and model file should take the name f'{path}.json' and f'{path}.safetensors' respectively.
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**kwargs: Additional arguments for the model constructor.
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"""
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import os
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import json
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from safetensors.torch import load_file
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is_local = os.path.exists(f"{path}.json") and os.path.exists(f"{path}.safetensors")
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if is_local:
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config_file = f"{path}.json"
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model_file = f"{path}.safetensors"
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else:
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from huggingface_hub import hf_hub_download
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path_parts = path.split('/')
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repo_id = f'{path_parts[0]}/{path_parts[1]}'
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model_name = '/'.join(path_parts[2:])
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config_file = hf_hub_download(repo_id, f"{model_name}.json")
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model_file = hf_hub_download(repo_id, f"{model_name}.safetensors")
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with open(config_file, 'r') as f:
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config = json.load(f)
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model = __getattr__(config['name'])(**config['args'], **kwargs)
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model.load_state_dict(load_file(model_file))
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return model
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# For Pylance
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if __name__ == '__main__':
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from .sparse_structure_vae import SparseStructureEncoder, SparseStructureDecoder
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from .sparse_structure_flow import SparseStructureFlowModel
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from .structured_latent_vae import SLatEncoder, SLatGaussianDecoder, SLatRadianceFieldDecoder, SLatMeshDecoder
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from .structured_latent_flow import SLatFlowModel
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@@ -0,0 +1,200 @@
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from typing import *
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import torch
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import torch.nn as nn
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import torch.nn.functional as F
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import numpy as np
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from ..modules.utils import convert_module_to_f16, convert_module_to_f32
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from ..modules.transformer import AbsolutePositionEmbedder, ModulatedTransformerCrossBlock
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from ..modules.spatial import patchify, unpatchify
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class TimestepEmbedder(nn.Module):
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"""
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Embeds scalar timesteps into vector representations.
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"""
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def __init__(self, hidden_size, frequency_embedding_size=256):
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super().__init__()
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self.mlp = nn.Sequential(
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nn.Linear(frequency_embedding_size, hidden_size, bias=True),
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nn.SiLU(),
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nn.Linear(hidden_size, hidden_size, bias=True),
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)
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self.frequency_embedding_size = frequency_embedding_size
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@staticmethod
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def timestep_embedding(t, dim, max_period=10000):
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"""
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Create sinusoidal timestep embeddings.
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Args:
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t: a 1-D Tensor of N indices, one per batch element.
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These may be fractional.
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dim: the dimension of the output.
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max_period: controls the minimum frequency of the embeddings.
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Returns:
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an (N, D) Tensor of positional embeddings.
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"""
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# https://github.com/openai/glide-text2im/blob/main/glide_text2im/nn.py
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half = dim // 2
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freqs = torch.exp(
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-np.log(max_period) * torch.arange(start=0, end=half, dtype=torch.float32) / half
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).to(device=t.device)
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args = t[:, None].float() * freqs[None]
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embedding = torch.cat([torch.cos(args), torch.sin(args)], dim=-1)
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if dim % 2:
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embedding = torch.cat([embedding, torch.zeros_like(embedding[:, :1])], dim=-1)
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return embedding
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def forward(self, t):
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t_freq = self.timestep_embedding(t, self.frequency_embedding_size)
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t_emb = self.mlp(t_freq)
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return t_emb
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class SparseStructureFlowModel(nn.Module):
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def __init__(
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self,
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resolution: int,
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in_channels: int,
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model_channels: int,
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cond_channels: int,
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out_channels: int,
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num_blocks: int,
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num_heads: Optional[int] = None,
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num_head_channels: Optional[int] = 64,
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mlp_ratio: float = 4,
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patch_size: int = 2,
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pe_mode: Literal["ape", "rope"] = "ape",
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use_fp16: bool = False,
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use_checkpoint: bool = False,
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share_mod: bool = False,
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qk_rms_norm: bool = False,
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qk_rms_norm_cross: bool = False,
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):
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super().__init__()
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self.resolution = resolution
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self.in_channels = in_channels
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self.model_channels = model_channels
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self.cond_channels = cond_channels
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self.out_channels = out_channels
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self.num_blocks = num_blocks
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self.num_heads = num_heads or model_channels // num_head_channels
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self.mlp_ratio = mlp_ratio
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self.patch_size = patch_size
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self.pe_mode = pe_mode
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self.use_fp16 = use_fp16
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self.use_checkpoint = use_checkpoint
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self.share_mod = share_mod
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self.qk_rms_norm = qk_rms_norm
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self.qk_rms_norm_cross = qk_rms_norm_cross
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self.dtype = torch.float16 if use_fp16 else torch.float32
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self.t_embedder = TimestepEmbedder(model_channels)
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if share_mod:
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self.adaLN_modulation = nn.Sequential(
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nn.SiLU(),
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nn.Linear(model_channels, 6 * model_channels, bias=True)
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)
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if pe_mode == "ape":
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pos_embedder = AbsolutePositionEmbedder(model_channels, 3)
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coords = torch.meshgrid(*[torch.arange(res, device=self.device) for res in [resolution // patch_size] * 3], indexing='ij')
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coords = torch.stack(coords, dim=-1).reshape(-1, 3)
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pos_emb = pos_embedder(coords)
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self.register_buffer("pos_emb", pos_emb)
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self.input_layer = nn.Linear(in_channels * patch_size**3, model_channels)
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self.blocks = nn.ModuleList([
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ModulatedTransformerCrossBlock(
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model_channels,
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cond_channels,
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num_heads=self.num_heads,
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mlp_ratio=self.mlp_ratio,
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attn_mode='full',
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use_checkpoint=self.use_checkpoint,
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use_rope=(pe_mode == "rope"),
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share_mod=share_mod,
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qk_rms_norm=self.qk_rms_norm,
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qk_rms_norm_cross=self.qk_rms_norm_cross,
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)
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for _ in range(num_blocks)
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])
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self.out_layer = nn.Linear(model_channels, out_channels * patch_size**3)
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self.initialize_weights()
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if use_fp16:
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self.convert_to_fp16()
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@property
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def device(self) -> torch.device:
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"""
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Return the device of the model.
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"""
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return next(self.parameters()).device
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def convert_to_fp16(self) -> None:
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"""
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Convert the torso of the model to float16.
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"""
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self.blocks.apply(convert_module_to_f16)
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def convert_to_fp32(self) -> None:
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"""
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Convert the torso of the model to float32.
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"""
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self.blocks.apply(convert_module_to_f32)
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def initialize_weights(self) -> None:
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# Initialize transformer layers:
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def _basic_init(module):
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if isinstance(module, nn.Linear):
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torch.nn.init.xavier_uniform_(module.weight)
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if module.bias is not None:
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nn.init.constant_(module.bias, 0)
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self.apply(_basic_init)
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# Initialize timestep embedding MLP:
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nn.init.normal_(self.t_embedder.mlp[0].weight, std=0.02)
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nn.init.normal_(self.t_embedder.mlp[2].weight, std=0.02)
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# Zero-out adaLN modulation layers in DiT blocks:
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if self.share_mod:
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nn.init.constant_(self.adaLN_modulation[-1].weight, 0)
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nn.init.constant_(self.adaLN_modulation[-1].bias, 0)
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else:
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for block in self.blocks:
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nn.init.constant_(block.adaLN_modulation[-1].weight, 0)
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nn.init.constant_(block.adaLN_modulation[-1].bias, 0)
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# Zero-out output layers:
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nn.init.constant_(self.out_layer.weight, 0)
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nn.init.constant_(self.out_layer.bias, 0)
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def forward(self, x: torch.Tensor, t: torch.Tensor, cond: torch.Tensor) -> torch.Tensor:
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assert [*x.shape] == [x.shape[0], self.in_channels, *[self.resolution] * 3], \
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f"Input shape mismatch, got {x.shape}, expected {[x.shape[0], self.in_channels, *[self.resolution] * 3]}"
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h = patchify(x, self.patch_size)
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h = h.view(*h.shape[:2], -1).permute(0, 2, 1).contiguous()
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h = self.input_layer(h)
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h = h + self.pos_emb[None]
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t_emb = self.t_embedder(t)
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if self.share_mod:
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t_emb = self.adaLN_modulation(t_emb)
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t_emb = t_emb.type(self.dtype)
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h = h.type(self.dtype)
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cond = cond.type(self.dtype)
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for block in self.blocks:
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h = block(h, t_emb, cond)
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h = h.type(x.dtype)
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h = F.layer_norm(h, h.shape[-1:])
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h = self.out_layer(h)
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h = h.permute(0, 2, 1).view(h.shape[0], h.shape[2], *[self.resolution // self.patch_size] * 3)
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h = unpatchify(h, self.patch_size).contiguous()
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return h
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@@ -0,0 +1,306 @@
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from typing import *
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import torch
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import torch.nn as nn
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import torch.nn.functional as F
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from ..modules.norm import GroupNorm32, ChannelLayerNorm32
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from ..modules.spatial import pixel_shuffle_3d
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from ..modules.utils import zero_module, convert_module_to_f16, convert_module_to_f32
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def norm_layer(norm_type: str, *args, **kwargs) -> nn.Module:
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"""
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Return a normalization layer.
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"""
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if norm_type == "group":
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return GroupNorm32(32, *args, **kwargs)
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elif norm_type == "layer":
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return ChannelLayerNorm32(*args, **kwargs)
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else:
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raise ValueError(f"Invalid norm type {norm_type}")
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class ResBlock3d(nn.Module):
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def __init__(
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self,
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channels: int,
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out_channels: Optional[int] = None,
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norm_type: Literal["group", "layer"] = "layer",
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):
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super().__init__()
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self.channels = channels
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self.out_channels = out_channels or channels
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self.norm1 = norm_layer(norm_type, channels)
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self.norm2 = norm_layer(norm_type, self.out_channels)
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self.conv1 = nn.Conv3d(channels, self.out_channels, 3, padding=1)
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self.conv2 = zero_module(nn.Conv3d(self.out_channels, self.out_channels, 3, padding=1))
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self.skip_connection = nn.Conv3d(channels, self.out_channels, 1) if channels != self.out_channels else nn.Identity()
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def forward(self, x: torch.Tensor) -> torch.Tensor:
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h = self.norm1(x)
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h = F.silu(h)
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h = self.conv1(h)
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h = self.norm2(h)
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h = F.silu(h)
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h = self.conv2(h)
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h = h + self.skip_connection(x)
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return h
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class DownsampleBlock3d(nn.Module):
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def __init__(
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self,
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in_channels: int,
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out_channels: int,
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mode: Literal["conv", "avgpool"] = "conv",
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):
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assert mode in ["conv", "avgpool"], f"Invalid mode {mode}"
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super().__init__()
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self.in_channels = in_channels
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self.out_channels = out_channels
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if mode == "conv":
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self.conv = nn.Conv3d(in_channels, out_channels, 2, stride=2)
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elif mode == "avgpool":
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assert in_channels == out_channels, "Pooling mode requires in_channels to be equal to out_channels"
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def forward(self, x: torch.Tensor) -> torch.Tensor:
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if hasattr(self, "conv"):
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return self.conv(x)
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else:
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return F.avg_pool3d(x, 2)
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class UpsampleBlock3d(nn.Module):
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def __init__(
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self,
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in_channels: int,
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out_channels: int,
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mode: Literal["conv", "nearest"] = "conv",
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):
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assert mode in ["conv", "nearest"], f"Invalid mode {mode}"
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super().__init__()
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self.in_channels = in_channels
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self.out_channels = out_channels
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if mode == "conv":
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self.conv = nn.Conv3d(in_channels, out_channels*8, 3, padding=1)
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elif mode == "nearest":
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assert in_channels == out_channels, "Nearest mode requires in_channels to be equal to out_channels"
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def forward(self, x: torch.Tensor) -> torch.Tensor:
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if hasattr(self, "conv"):
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x = self.conv(x)
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return pixel_shuffle_3d(x, 2)
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else:
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return F.interpolate(x, scale_factor=2, mode="nearest")
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class SparseStructureEncoder(nn.Module):
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"""
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Encoder for Sparse Structure (\mathcal{E}_S in the paper Sec. 3.3).
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Args:
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in_channels (int): Channels of the input.
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latent_channels (int): Channels of the latent representation.
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num_res_blocks (int): Number of residual blocks at each resolution.
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channels (List[int]): Channels of the encoder blocks.
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num_res_blocks_middle (int): Number of residual blocks in the middle.
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norm_type (Literal["group", "layer"]): Type of normalization layer.
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use_fp16 (bool): Whether to use FP16.
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"""
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def __init__(
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self,
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in_channels: int,
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latent_channels: int,
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num_res_blocks: int,
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channels: List[int],
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num_res_blocks_middle: int = 2,
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norm_type: Literal["group", "layer"] = "layer",
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use_fp16: bool = False,
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):
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super().__init__()
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self.in_channels = in_channels
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self.latent_channels = latent_channels
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self.num_res_blocks = num_res_blocks
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self.channels = channels
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self.num_res_blocks_middle = num_res_blocks_middle
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self.norm_type = norm_type
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self.use_fp16 = use_fp16
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self.dtype = torch.float16 if use_fp16 else torch.float32
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self.input_layer = nn.Conv3d(in_channels, channels[0], 3, padding=1)
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self.blocks = nn.ModuleList([])
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for i, ch in enumerate(channels):
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self.blocks.extend([
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ResBlock3d(ch, ch)
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for _ in range(num_res_blocks)
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])
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if i < len(channels) - 1:
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self.blocks.append(
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DownsampleBlock3d(ch, channels[i+1])
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)
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self.middle_block = nn.Sequential(*[
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ResBlock3d(channels[-1], channels[-1])
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for _ in range(num_res_blocks_middle)
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])
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self.out_layer = nn.Sequential(
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norm_layer(norm_type, channels[-1]),
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nn.SiLU(),
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nn.Conv3d(channels[-1], latent_channels*2, 3, padding=1)
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)
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if use_fp16:
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self.convert_to_fp16()
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@property
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def device(self) -> torch.device:
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"""
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Return the device of the model.
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"""
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return next(self.parameters()).device
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def convert_to_fp16(self) -> None:
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"""
|
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Convert the torso of the model to float16.
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"""
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self.use_fp16 = True
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self.dtype = torch.float16
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self.blocks.apply(convert_module_to_f16)
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self.middle_block.apply(convert_module_to_f16)
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|
||||
def convert_to_fp32(self) -> None:
|
||||
"""
|
||||
Convert the torso of the model to float32.
|
||||
"""
|
||||
self.use_fp16 = False
|
||||
self.dtype = torch.float32
|
||||
self.blocks.apply(convert_module_to_f32)
|
||||
self.middle_block.apply(convert_module_to_f32)
|
||||
|
||||
def forward(self, x: torch.Tensor, sample_posterior: bool = False, return_raw: bool = False) -> torch.Tensor:
|
||||
h = self.input_layer(x)
|
||||
h = h.type(self.dtype)
|
||||
|
||||
for block in self.blocks:
|
||||
h = block(h)
|
||||
h = self.middle_block(h)
|
||||
|
||||
h = h.type(x.dtype)
|
||||
h = self.out_layer(h)
|
||||
|
||||
mean, logvar = h.chunk(2, dim=1)
|
||||
|
||||
if sample_posterior:
|
||||
std = torch.exp(0.5 * logvar)
|
||||
z = mean + std * torch.randn_like(std)
|
||||
else:
|
||||
z = mean
|
||||
|
||||
if return_raw:
|
||||
return z, mean, logvar
|
||||
return z
|
||||
|
||||
|
||||
class SparseStructureDecoder(nn.Module):
|
||||
"""
|
||||
Decoder for Sparse Structure (\mathcal{D}_S in the paper Sec. 3.3).
|
||||
|
||||
Args:
|
||||
out_channels (int): Channels of the output.
|
||||
latent_channels (int): Channels of the latent representation.
|
||||
num_res_blocks (int): Number of residual blocks at each resolution.
|
||||
channels (List[int]): Channels of the decoder blocks.
|
||||
num_res_blocks_middle (int): Number of residual blocks in the middle.
|
||||
norm_type (Literal["group", "layer"]): Type of normalization layer.
|
||||
use_fp16 (bool): Whether to use FP16.
|
||||
"""
|
||||
def __init__(
|
||||
self,
|
||||
out_channels: int,
|
||||
latent_channels: int,
|
||||
num_res_blocks: int,
|
||||
channels: List[int],
|
||||
num_res_blocks_middle: int = 2,
|
||||
norm_type: Literal["group", "layer"] = "layer",
|
||||
use_fp16: bool = False,
|
||||
):
|
||||
super().__init__()
|
||||
self.out_channels = out_channels
|
||||
self.latent_channels = latent_channels
|
||||
self.num_res_blocks = num_res_blocks
|
||||
self.channels = channels
|
||||
self.num_res_blocks_middle = num_res_blocks_middle
|
||||
self.norm_type = norm_type
|
||||
self.use_fp16 = use_fp16
|
||||
self.dtype = torch.float16 if use_fp16 else torch.float32
|
||||
|
||||
self.input_layer = nn.Conv3d(latent_channels, channels[0], 3, padding=1)
|
||||
|
||||
self.middle_block = nn.Sequential(*[
|
||||
ResBlock3d(channels[0], channels[0])
|
||||
for _ in range(num_res_blocks_middle)
|
||||
])
|
||||
|
||||
self.blocks = nn.ModuleList([])
|
||||
for i, ch in enumerate(channels):
|
||||
self.blocks.extend([
|
||||
ResBlock3d(ch, ch)
|
||||
for _ in range(num_res_blocks)
|
||||
])
|
||||
if i < len(channels) - 1:
|
||||
self.blocks.append(
|
||||
UpsampleBlock3d(ch, channels[i+1])
|
||||
)
|
||||
|
||||
self.out_layer = nn.Sequential(
|
||||
norm_layer(norm_type, channels[-1]),
|
||||
nn.SiLU(),
|
||||
nn.Conv3d(channels[-1], out_channels, 3, padding=1)
|
||||
)
|
||||
|
||||
if use_fp16:
|
||||
self.convert_to_fp16()
|
||||
|
||||
@property
|
||||
def device(self) -> torch.device:
|
||||
"""
|
||||
Return the device of the model.
|
||||
"""
|
||||
return next(self.parameters()).device
|
||||
|
||||
def convert_to_fp16(self) -> None:
|
||||
"""
|
||||
Convert the torso of the model to float16.
|
||||
"""
|
||||
self.use_fp16 = True
|
||||
self.dtype = torch.float16
|
||||
self.blocks.apply(convert_module_to_f16)
|
||||
self.middle_block.apply(convert_module_to_f16)
|
||||
|
||||
def convert_to_fp32(self) -> None:
|
||||
"""
|
||||
Convert the torso of the model to float32.
|
||||
"""
|
||||
self.use_fp16 = False
|
||||
self.dtype = torch.float32
|
||||
self.blocks.apply(convert_module_to_f32)
|
||||
self.middle_block.apply(convert_module_to_f32)
|
||||
|
||||
def forward(self, x: torch.Tensor) -> torch.Tensor:
|
||||
h = self.input_layer(x)
|
||||
|
||||
h = h.type(self.dtype)
|
||||
|
||||
h = self.middle_block(h)
|
||||
for block in self.blocks:
|
||||
h = block(h)
|
||||
|
||||
h = h.type(x.dtype)
|
||||
h = self.out_layer(h)
|
||||
return h
|
||||
@@ -0,0 +1,262 @@
|
||||
from typing import *
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
import torch.nn.functional as F
|
||||
import numpy as np
|
||||
from ..modules.utils import zero_module, convert_module_to_f16, convert_module_to_f32
|
||||
from ..modules.transformer import AbsolutePositionEmbedder
|
||||
from ..modules.norm import LayerNorm32
|
||||
from ..modules import sparse as sp
|
||||
from ..modules.sparse.transformer import ModulatedSparseTransformerCrossBlock
|
||||
from .sparse_structure_flow import TimestepEmbedder
|
||||
|
||||
|
||||
class SparseResBlock3d(nn.Module):
|
||||
def __init__(
|
||||
self,
|
||||
channels: int,
|
||||
emb_channels: int,
|
||||
out_channels: Optional[int] = None,
|
||||
downsample: bool = False,
|
||||
upsample: bool = False,
|
||||
):
|
||||
super().__init__()
|
||||
self.channels = channels
|
||||
self.emb_channels = emb_channels
|
||||
self.out_channels = out_channels or channels
|
||||
self.downsample = downsample
|
||||
self.upsample = upsample
|
||||
|
||||
assert not (downsample and upsample), "Cannot downsample and upsample at the same time"
|
||||
|
||||
self.norm1 = LayerNorm32(channels, elementwise_affine=True, eps=1e-6)
|
||||
self.norm2 = LayerNorm32(self.out_channels, elementwise_affine=False, eps=1e-6)
|
||||
self.conv1 = sp.SparseConv3d(channels, self.out_channels, 3)
|
||||
self.conv2 = zero_module(sp.SparseConv3d(self.out_channels, self.out_channels, 3))
|
||||
self.emb_layers = nn.Sequential(
|
||||
nn.SiLU(),
|
||||
nn.Linear(emb_channels, 2 * self.out_channels, bias=True),
|
||||
)
|
||||
self.skip_connection = sp.SparseLinear(channels, self.out_channels) if channels != self.out_channels else nn.Identity()
|
||||
self.updown = None
|
||||
if self.downsample:
|
||||
self.updown = sp.SparseDownsample(2)
|
||||
elif self.upsample:
|
||||
self.updown = sp.SparseUpsample(2)
|
||||
|
||||
def _updown(self, x: sp.SparseTensor) -> sp.SparseTensor:
|
||||
if self.updown is not None:
|
||||
x = self.updown(x)
|
||||
return x
|
||||
|
||||
def forward(self, x: sp.SparseTensor, emb: torch.Tensor) -> sp.SparseTensor:
|
||||
emb_out = self.emb_layers(emb).type(x.dtype)
|
||||
scale, shift = torch.chunk(emb_out, 2, dim=1)
|
||||
|
||||
x = self._updown(x)
|
||||
h = x.replace(self.norm1(x.feats))
|
||||
h = h.replace(F.silu(h.feats))
|
||||
h = self.conv1(h)
|
||||
h = h.replace(self.norm2(h.feats)) * (1 + scale) + shift
|
||||
h = h.replace(F.silu(h.feats))
|
||||
h = self.conv2(h)
|
||||
h = h + self.skip_connection(x)
|
||||
|
||||
return h
|
||||
|
||||
|
||||
class SLatFlowModel(nn.Module):
|
||||
def __init__(
|
||||
self,
|
||||
resolution: int,
|
||||
in_channels: int,
|
||||
model_channels: int,
|
||||
cond_channels: int,
|
||||
out_channels: int,
|
||||
num_blocks: int,
|
||||
num_heads: Optional[int] = None,
|
||||
num_head_channels: Optional[int] = 64,
|
||||
mlp_ratio: float = 4,
|
||||
patch_size: int = 2,
|
||||
num_io_res_blocks: int = 2,
|
||||
io_block_channels: List[int] = None,
|
||||
pe_mode: Literal["ape", "rope"] = "ape",
|
||||
use_fp16: bool = False,
|
||||
use_checkpoint: bool = False,
|
||||
use_skip_connection: bool = True,
|
||||
share_mod: bool = False,
|
||||
qk_rms_norm: bool = False,
|
||||
qk_rms_norm_cross: bool = False,
|
||||
):
|
||||
super().__init__()
|
||||
self.resolution = resolution
|
||||
self.in_channels = in_channels
|
||||
self.model_channels = model_channels
|
||||
self.cond_channels = cond_channels
|
||||
self.out_channels = out_channels
|
||||
self.num_blocks = num_blocks
|
||||
self.num_heads = num_heads or model_channels // num_head_channels
|
||||
self.mlp_ratio = mlp_ratio
|
||||
self.patch_size = patch_size
|
||||
self.num_io_res_blocks = num_io_res_blocks
|
||||
self.io_block_channels = io_block_channels
|
||||
self.pe_mode = pe_mode
|
||||
self.use_fp16 = use_fp16
|
||||
self.use_checkpoint = use_checkpoint
|
||||
self.use_skip_connection = use_skip_connection
|
||||
self.share_mod = share_mod
|
||||
self.qk_rms_norm = qk_rms_norm
|
||||
self.qk_rms_norm_cross = qk_rms_norm_cross
|
||||
self.dtype = torch.float16 if use_fp16 else torch.float32
|
||||
|
||||
assert int(np.log2(patch_size)) == np.log2(patch_size), "Patch size must be a power of 2"
|
||||
assert np.log2(patch_size) == len(io_block_channels), "Number of IO ResBlocks must match the number of stages"
|
||||
|
||||
self.t_embedder = TimestepEmbedder(model_channels)
|
||||
if share_mod:
|
||||
self.adaLN_modulation = nn.Sequential(
|
||||
nn.SiLU(),
|
||||
nn.Linear(model_channels, 6 * model_channels, bias=True)
|
||||
)
|
||||
|
||||
if pe_mode == "ape":
|
||||
self.pos_embedder = AbsolutePositionEmbedder(model_channels)
|
||||
|
||||
self.input_layer = sp.SparseLinear(in_channels, io_block_channels[0])
|
||||
self.input_blocks = nn.ModuleList([])
|
||||
for chs, next_chs in zip(io_block_channels, io_block_channels[1:] + [model_channels]):
|
||||
self.input_blocks.extend([
|
||||
SparseResBlock3d(
|
||||
chs,
|
||||
model_channels,
|
||||
out_channels=chs,
|
||||
)
|
||||
for _ in range(num_io_res_blocks-1)
|
||||
])
|
||||
self.input_blocks.append(
|
||||
SparseResBlock3d(
|
||||
chs,
|
||||
model_channels,
|
||||
out_channels=next_chs,
|
||||
downsample=True,
|
||||
)
|
||||
)
|
||||
|
||||
self.blocks = nn.ModuleList([
|
||||
ModulatedSparseTransformerCrossBlock(
|
||||
model_channels,
|
||||
cond_channels,
|
||||
num_heads=self.num_heads,
|
||||
mlp_ratio=self.mlp_ratio,
|
||||
attn_mode='full',
|
||||
use_checkpoint=self.use_checkpoint,
|
||||
use_rope=(pe_mode == "rope"),
|
||||
share_mod=self.share_mod,
|
||||
qk_rms_norm=self.qk_rms_norm,
|
||||
qk_rms_norm_cross=self.qk_rms_norm_cross,
|
||||
)
|
||||
for _ in range(num_blocks)
|
||||
])
|
||||
|
||||
self.out_blocks = nn.ModuleList([])
|
||||
for chs, prev_chs in zip(reversed(io_block_channels), [model_channels] + list(reversed(io_block_channels[1:]))):
|
||||
self.out_blocks.append(
|
||||
SparseResBlock3d(
|
||||
prev_chs * 2 if self.use_skip_connection else prev_chs,
|
||||
model_channels,
|
||||
out_channels=chs,
|
||||
upsample=True,
|
||||
)
|
||||
)
|
||||
self.out_blocks.extend([
|
||||
SparseResBlock3d(
|
||||
chs * 2 if self.use_skip_connection else chs,
|
||||
model_channels,
|
||||
out_channels=chs,
|
||||
)
|
||||
for _ in range(num_io_res_blocks-1)
|
||||
])
|
||||
self.out_layer = sp.SparseLinear(io_block_channels[0], out_channels)
|
||||
|
||||
self.initialize_weights()
|
||||
if use_fp16:
|
||||
self.convert_to_fp16()
|
||||
|
||||
@property
|
||||
def device(self) -> torch.device:
|
||||
"""
|
||||
Return the device of the model.
|
||||
"""
|
||||
return next(self.parameters()).device
|
||||
|
||||
def convert_to_fp16(self) -> None:
|
||||
"""
|
||||
Convert the torso of the model to float16.
|
||||
"""
|
||||
self.input_blocks.apply(convert_module_to_f16)
|
||||
self.blocks.apply(convert_module_to_f16)
|
||||
self.out_blocks.apply(convert_module_to_f16)
|
||||
|
||||
def convert_to_fp32(self) -> None:
|
||||
"""
|
||||
Convert the torso of the model to float32.
|
||||
"""
|
||||
self.input_blocks.apply(convert_module_to_f32)
|
||||
self.blocks.apply(convert_module_to_f32)
|
||||
self.out_blocks.apply(convert_module_to_f32)
|
||||
|
||||
def initialize_weights(self) -> None:
|
||||
# Initialize transformer layers:
|
||||
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.t_embedder.mlp[0].weight, std=0.02)
|
||||
nn.init.normal_(self.t_embedder.mlp[2].weight, std=0.02)
|
||||
|
||||
# Zero-out adaLN modulation layers in DiT blocks:
|
||||
if self.share_mod:
|
||||
nn.init.constant_(self.adaLN_modulation[-1].weight, 0)
|
||||
nn.init.constant_(self.adaLN_modulation[-1].bias, 0)
|
||||
else:
|
||||
for block in self.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.out_layer.weight, 0)
|
||||
nn.init.constant_(self.out_layer.bias, 0)
|
||||
|
||||
def forward(self, x: sp.SparseTensor, t: torch.Tensor, cond: torch.Tensor) -> sp.SparseTensor:
|
||||
h = self.input_layer(x).type(self.dtype)
|
||||
t_emb = self.t_embedder(t)
|
||||
if self.share_mod:
|
||||
t_emb = self.adaLN_modulation(t_emb)
|
||||
t_emb = t_emb.type(self.dtype)
|
||||
cond = cond.type(self.dtype)
|
||||
|
||||
skips = []
|
||||
# pack with input blocks
|
||||
for block in self.input_blocks:
|
||||
h = block(h, t_emb)
|
||||
skips.append(h.feats)
|
||||
|
||||
if self.pe_mode == "ape":
|
||||
h = h + self.pos_embedder(h.coords[:, 1:]).type(self.dtype)
|
||||
for block in self.blocks:
|
||||
h = block(h, t_emb, cond)
|
||||
|
||||
# unpack with output blocks
|
||||
for block, skip in zip(self.out_blocks, reversed(skips)):
|
||||
if self.use_skip_connection:
|
||||
h = block(h.replace(torch.cat([h.feats, skip], dim=1)), t_emb)
|
||||
else:
|
||||
h = block(h, t_emb)
|
||||
|
||||
h = h.replace(F.layer_norm(h.feats, h.feats.shape[-1:]))
|
||||
h = self.out_layer(h.type(x.dtype))
|
||||
return h
|
||||
@@ -0,0 +1,4 @@
|
||||
from .encoder import SLatEncoder
|
||||
from .decoder_gs import SLatGaussianDecoder
|
||||
from .decoder_rf import SLatRadianceFieldDecoder
|
||||
from .decoder_mesh import SLatMeshDecoder
|
||||
@@ -0,0 +1,117 @@
|
||||
from typing import *
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
from ...modules.utils import convert_module_to_f16, convert_module_to_f32
|
||||
from ...modules import sparse as sp
|
||||
from ...modules.transformer import AbsolutePositionEmbedder
|
||||
from ...modules.sparse.transformer import SparseTransformerBlock
|
||||
|
||||
|
||||
def block_attn_config(self):
|
||||
"""
|
||||
Return the attention configuration of the model.
|
||||
"""
|
||||
for i in range(self.num_blocks):
|
||||
if self.attn_mode == "shift_window":
|
||||
yield "serialized", self.window_size, 0, (16 * (i % 2),) * 3, sp.SerializeMode.Z_ORDER
|
||||
elif self.attn_mode == "shift_sequence":
|
||||
yield "serialized", self.window_size, self.window_size // 2 * (i % 2), (0, 0, 0), sp.SerializeMode.Z_ORDER
|
||||
elif self.attn_mode == "shift_order":
|
||||
yield "serialized", self.window_size, 0, (0, 0, 0), sp.SerializeModes[i % 4]
|
||||
elif self.attn_mode == "full":
|
||||
yield "full", None, None, None, None
|
||||
elif self.attn_mode == "swin":
|
||||
yield "windowed", self.window_size, None, self.window_size // 2 * (i % 2), None
|
||||
|
||||
|
||||
class SparseTransformerBase(nn.Module):
|
||||
"""
|
||||
Sparse Transformer without output layers.
|
||||
Serve as the base class for encoder and decoder.
|
||||
"""
|
||||
def __init__(
|
||||
self,
|
||||
in_channels: int,
|
||||
model_channels: int,
|
||||
num_blocks: int,
|
||||
num_heads: Optional[int] = None,
|
||||
num_head_channels: Optional[int] = 64,
|
||||
mlp_ratio: float = 4.0,
|
||||
attn_mode: Literal["full", "shift_window", "shift_sequence", "shift_order", "swin"] = "full",
|
||||
window_size: Optional[int] = None,
|
||||
pe_mode: Literal["ape", "rope"] = "ape",
|
||||
use_fp16: bool = False,
|
||||
use_checkpoint: bool = False,
|
||||
qk_rms_norm: bool = False,
|
||||
):
|
||||
super().__init__()
|
||||
self.in_channels = in_channels
|
||||
self.model_channels = model_channels
|
||||
self.num_blocks = num_blocks
|
||||
self.window_size = window_size
|
||||
self.num_heads = num_heads or model_channels // num_head_channels
|
||||
self.mlp_ratio = mlp_ratio
|
||||
self.attn_mode = attn_mode
|
||||
self.pe_mode = pe_mode
|
||||
self.use_fp16 = use_fp16
|
||||
self.use_checkpoint = use_checkpoint
|
||||
self.qk_rms_norm = qk_rms_norm
|
||||
self.dtype = torch.float16 if use_fp16 else torch.float32
|
||||
|
||||
if pe_mode == "ape":
|
||||
self.pos_embedder = AbsolutePositionEmbedder(model_channels)
|
||||
|
||||
self.input_layer = sp.SparseLinear(in_channels, model_channels)
|
||||
self.blocks = nn.ModuleList([
|
||||
SparseTransformerBlock(
|
||||
model_channels,
|
||||
num_heads=self.num_heads,
|
||||
mlp_ratio=self.mlp_ratio,
|
||||
attn_mode=attn_mode,
|
||||
window_size=window_size,
|
||||
shift_sequence=shift_sequence,
|
||||
shift_window=shift_window,
|
||||
serialize_mode=serialize_mode,
|
||||
use_checkpoint=self.use_checkpoint,
|
||||
use_rope=(pe_mode == "rope"),
|
||||
qk_rms_norm=self.qk_rms_norm,
|
||||
)
|
||||
for attn_mode, window_size, shift_sequence, shift_window, serialize_mode in block_attn_config(self)
|
||||
])
|
||||
|
||||
@property
|
||||
def device(self) -> torch.device:
|
||||
"""
|
||||
Return the device of the model.
|
||||
"""
|
||||
return next(self.parameters()).device
|
||||
|
||||
def convert_to_fp16(self) -> None:
|
||||
"""
|
||||
Convert the torso of the model to float16.
|
||||
"""
|
||||
self.blocks.apply(convert_module_to_f16)
|
||||
|
||||
def convert_to_fp32(self) -> None:
|
||||
"""
|
||||
Convert the torso of the model to float32.
|
||||
"""
|
||||
self.blocks.apply(convert_module_to_f32)
|
||||
|
||||
def initialize_weights(self) -> None:
|
||||
# Initialize transformer layers:
|
||||
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)
|
||||
|
||||
def forward(self, x: sp.SparseTensor) -> sp.SparseTensor:
|
||||
h = self.input_layer(x)
|
||||
if self.pe_mode == "ape":
|
||||
h = h + self.pos_embedder(x.coords[:, 1:])
|
||||
h = h.type(self.dtype)
|
||||
for block in self.blocks:
|
||||
h = block(h)
|
||||
return h
|
||||
@@ -0,0 +1,122 @@
|
||||
from typing import *
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
import torch.nn.functional as F
|
||||
from ...modules import sparse as sp
|
||||
from ...utils.random_utils import hammersley_sequence
|
||||
from .base import SparseTransformerBase
|
||||
from ...representations import Gaussian
|
||||
|
||||
|
||||
class SLatGaussianDecoder(SparseTransformerBase):
|
||||
def __init__(
|
||||
self,
|
||||
resolution: int,
|
||||
model_channels: int,
|
||||
latent_channels: int,
|
||||
num_blocks: int,
|
||||
num_heads: Optional[int] = None,
|
||||
num_head_channels: Optional[int] = 64,
|
||||
mlp_ratio: float = 4,
|
||||
attn_mode: Literal["full", "shift_window", "shift_sequence", "shift_order", "swin"] = "swin",
|
||||
window_size: int = 8,
|
||||
pe_mode: Literal["ape", "rope"] = "ape",
|
||||
use_fp16: bool = False,
|
||||
use_checkpoint: bool = False,
|
||||
qk_rms_norm: bool = False,
|
||||
representation_config: dict = None,
|
||||
):
|
||||
super().__init__(
|
||||
in_channels=latent_channels,
|
||||
model_channels=model_channels,
|
||||
num_blocks=num_blocks,
|
||||
num_heads=num_heads,
|
||||
num_head_channels=num_head_channels,
|
||||
mlp_ratio=mlp_ratio,
|
||||
attn_mode=attn_mode,
|
||||
window_size=window_size,
|
||||
pe_mode=pe_mode,
|
||||
use_fp16=use_fp16,
|
||||
use_checkpoint=use_checkpoint,
|
||||
qk_rms_norm=qk_rms_norm,
|
||||
)
|
||||
self.resolution = resolution
|
||||
self.rep_config = representation_config
|
||||
self._calc_layout()
|
||||
self.out_layer = sp.SparseLinear(model_channels, self.out_channels)
|
||||
self._build_perturbation()
|
||||
|
||||
self.initialize_weights()
|
||||
if use_fp16:
|
||||
self.convert_to_fp16()
|
||||
|
||||
def initialize_weights(self) -> None:
|
||||
super().initialize_weights()
|
||||
# Zero-out output layers:
|
||||
nn.init.constant_(self.out_layer.weight, 0)
|
||||
nn.init.constant_(self.out_layer.bias, 0)
|
||||
|
||||
def _build_perturbation(self) -> None:
|
||||
perturbation = [hammersley_sequence(3, i, self.rep_config['num_gaussians']) for i in range(self.rep_config['num_gaussians'])]
|
||||
perturbation = torch.tensor(perturbation).float() * 2 - 1
|
||||
perturbation = perturbation / self.rep_config['voxel_size']
|
||||
perturbation = torch.atanh(perturbation).to(self.device)
|
||||
self.register_buffer('offset_perturbation', perturbation)
|
||||
|
||||
def _calc_layout(self) -> None:
|
||||
self.layout = {
|
||||
'_xyz' : {'shape': (self.rep_config['num_gaussians'], 3), 'size': self.rep_config['num_gaussians'] * 3},
|
||||
'_features_dc' : {'shape': (self.rep_config['num_gaussians'], 1, 3), 'size': self.rep_config['num_gaussians'] * 3},
|
||||
'_scaling' : {'shape': (self.rep_config['num_gaussians'], 3), 'size': self.rep_config['num_gaussians'] * 3},
|
||||
'_rotation' : {'shape': (self.rep_config['num_gaussians'], 4), 'size': self.rep_config['num_gaussians'] * 4},
|
||||
'_opacity' : {'shape': (self.rep_config['num_gaussians'], 1), 'size': self.rep_config['num_gaussians']},
|
||||
}
|
||||
start = 0
|
||||
for k, v in self.layout.items():
|
||||
v['range'] = (start, start + v['size'])
|
||||
start += v['size']
|
||||
self.out_channels = start
|
||||
|
||||
def to_representation(self, x: sp.SparseTensor) -> List[Gaussian]:
|
||||
"""
|
||||
Convert a batch of network outputs to 3D representations.
|
||||
|
||||
Args:
|
||||
x: The [N x * x C] sparse tensor output by the network.
|
||||
|
||||
Returns:
|
||||
list of representations
|
||||
"""
|
||||
ret = []
|
||||
for i in range(x.shape[0]):
|
||||
representation = Gaussian(
|
||||
sh_degree=0,
|
||||
aabb=[-0.5, -0.5, -0.5, 1.0, 1.0, 1.0],
|
||||
mininum_kernel_size = self.rep_config['3d_filter_kernel_size'],
|
||||
scaling_bias = self.rep_config['scaling_bias'],
|
||||
opacity_bias = self.rep_config['opacity_bias'],
|
||||
scaling_activation = self.rep_config['scaling_activation']
|
||||
)
|
||||
xyz = (x.coords[x.layout[i]][:, 1:].float() + 0.5) / self.resolution
|
||||
for k, v in self.layout.items():
|
||||
if k == '_xyz':
|
||||
offset = x.feats[x.layout[i]][:, v['range'][0]:v['range'][1]].reshape(-1, *v['shape'])
|
||||
offset = offset * self.rep_config['lr'][k]
|
||||
if self.rep_config['perturb_offset']:
|
||||
offset = offset + self.offset_perturbation
|
||||
offset = torch.tanh(offset) / self.resolution * 0.5 * self.rep_config['voxel_size']
|
||||
_xyz = xyz.unsqueeze(1) + offset
|
||||
setattr(representation, k, _xyz.flatten(0, 1))
|
||||
else:
|
||||
feats = x.feats[x.layout[i]][:, v['range'][0]:v['range'][1]].reshape(-1, *v['shape']).flatten(0, 1)
|
||||
feats = feats * self.rep_config['lr'][k]
|
||||
setattr(representation, k, feats)
|
||||
ret.append(representation)
|
||||
return ret
|
||||
|
||||
def forward(self, x: sp.SparseTensor) -> List[Gaussian]:
|
||||
h = super().forward(x)
|
||||
h = h.type(x.dtype)
|
||||
h = h.replace(F.layer_norm(h.feats, h.feats.shape[-1:]))
|
||||
h = self.out_layer(h)
|
||||
return self.to_representation(h)
|
||||
@@ -0,0 +1,167 @@
|
||||
from typing import *
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
import torch.nn.functional as F
|
||||
import numpy as np
|
||||
from ...modules.utils import zero_module, convert_module_to_f16, convert_module_to_f32
|
||||
from ...modules import sparse as sp
|
||||
from .base import SparseTransformerBase
|
||||
from ...representations import MeshExtractResult
|
||||
from ...representations.mesh import SparseFeatures2Mesh
|
||||
|
||||
|
||||
class SparseSubdivideBlock3d(nn.Module):
|
||||
"""
|
||||
A 3D subdivide block that can subdivide the sparse tensor.
|
||||
|
||||
Args:
|
||||
channels: channels in the inputs and outputs.
|
||||
out_channels: if specified, the number of output channels.
|
||||
num_groups: the number of groups for the group norm.
|
||||
"""
|
||||
def __init__(
|
||||
self,
|
||||
channels: int,
|
||||
resolution: int,
|
||||
out_channels: Optional[int] = None,
|
||||
num_groups: int = 32
|
||||
):
|
||||
super().__init__()
|
||||
self.channels = channels
|
||||
self.resolution = resolution
|
||||
self.out_resolution = resolution * 2
|
||||
self.out_channels = out_channels or channels
|
||||
|
||||
self.act_layers = nn.Sequential(
|
||||
sp.SparseGroupNorm32(num_groups, channels),
|
||||
sp.SparseSiLU()
|
||||
)
|
||||
|
||||
self.sub = sp.SparseSubdivide()
|
||||
|
||||
self.out_layers = nn.Sequential(
|
||||
sp.SparseConv3d(channels, self.out_channels, 3, indice_key=f"res_{self.out_resolution}"),
|
||||
sp.SparseGroupNorm32(num_groups, self.out_channels),
|
||||
sp.SparseSiLU(),
|
||||
zero_module(sp.SparseConv3d(self.out_channels, self.out_channels, 3, indice_key=f"res_{self.out_resolution}")),
|
||||
)
|
||||
|
||||
if self.out_channels == channels:
|
||||
self.skip_connection = nn.Identity()
|
||||
else:
|
||||
self.skip_connection = sp.SparseConv3d(channels, self.out_channels, 1, indice_key=f"res_{self.out_resolution}")
|
||||
|
||||
def forward(self, x: sp.SparseTensor) -> sp.SparseTensor:
|
||||
"""
|
||||
Apply the block to a Tensor, conditioned on a timestep embedding.
|
||||
|
||||
Args:
|
||||
x: an [N x C x ...] Tensor of features.
|
||||
Returns:
|
||||
an [N x C x ...] Tensor of outputs.
|
||||
"""
|
||||
h = self.act_layers(x)
|
||||
h = self.sub(h)
|
||||
x = self.sub(x)
|
||||
h = self.out_layers(h)
|
||||
h = h + self.skip_connection(x)
|
||||
return h
|
||||
|
||||
|
||||
class SLatMeshDecoder(SparseTransformerBase):
|
||||
def __init__(
|
||||
self,
|
||||
resolution: int,
|
||||
model_channels: int,
|
||||
latent_channels: int,
|
||||
num_blocks: int,
|
||||
num_heads: Optional[int] = None,
|
||||
num_head_channels: Optional[int] = 64,
|
||||
mlp_ratio: float = 4,
|
||||
attn_mode: Literal["full", "shift_window", "shift_sequence", "shift_order", "swin"] = "swin",
|
||||
window_size: int = 8,
|
||||
pe_mode: Literal["ape", "rope"] = "ape",
|
||||
use_fp16: bool = False,
|
||||
use_checkpoint: bool = False,
|
||||
qk_rms_norm: bool = False,
|
||||
representation_config: dict = None,
|
||||
):
|
||||
super().__init__(
|
||||
in_channels=latent_channels,
|
||||
model_channels=model_channels,
|
||||
num_blocks=num_blocks,
|
||||
num_heads=num_heads,
|
||||
num_head_channels=num_head_channels,
|
||||
mlp_ratio=mlp_ratio,
|
||||
attn_mode=attn_mode,
|
||||
window_size=window_size,
|
||||
pe_mode=pe_mode,
|
||||
use_fp16=use_fp16,
|
||||
use_checkpoint=use_checkpoint,
|
||||
qk_rms_norm=qk_rms_norm,
|
||||
)
|
||||
self.resolution = resolution
|
||||
self.rep_config = representation_config
|
||||
self.mesh_extractor = SparseFeatures2Mesh(res=self.resolution*4, use_color=self.rep_config.get('use_color', False))
|
||||
self.out_channels = self.mesh_extractor.feats_channels
|
||||
self.upsample = nn.ModuleList([
|
||||
SparseSubdivideBlock3d(
|
||||
channels=model_channels,
|
||||
resolution=resolution,
|
||||
out_channels=model_channels // 4
|
||||
),
|
||||
SparseSubdivideBlock3d(
|
||||
channels=model_channels // 4,
|
||||
resolution=resolution * 2,
|
||||
out_channels=model_channels // 8
|
||||
)
|
||||
])
|
||||
self.out_layer = sp.SparseLinear(model_channels // 8, self.out_channels)
|
||||
|
||||
self.initialize_weights()
|
||||
if use_fp16:
|
||||
self.convert_to_fp16()
|
||||
|
||||
def initialize_weights(self) -> None:
|
||||
super().initialize_weights()
|
||||
# Zero-out output layers:
|
||||
nn.init.constant_(self.out_layer.weight, 0)
|
||||
nn.init.constant_(self.out_layer.bias, 0)
|
||||
|
||||
def convert_to_fp16(self) -> None:
|
||||
"""
|
||||
Convert the torso of the model to float16.
|
||||
"""
|
||||
super().convert_to_fp16()
|
||||
self.upsample.apply(convert_module_to_f16)
|
||||
|
||||
def convert_to_fp32(self) -> None:
|
||||
"""
|
||||
Convert the torso of the model to float32.
|
||||
"""
|
||||
super().convert_to_fp32()
|
||||
self.upsample.apply(convert_module_to_f32)
|
||||
|
||||
def to_representation(self, x: sp.SparseTensor) -> List[MeshExtractResult]:
|
||||
"""
|
||||
Convert a batch of network outputs to 3D representations.
|
||||
|
||||
Args:
|
||||
x: The [N x * x C] sparse tensor output by the network.
|
||||
|
||||
Returns:
|
||||
list of representations
|
||||
"""
|
||||
ret = []
|
||||
for i in range(x.shape[0]):
|
||||
mesh = self.mesh_extractor(x[i], training=self.training)
|
||||
ret.append(mesh)
|
||||
return ret
|
||||
|
||||
def forward(self, x: sp.SparseTensor) -> List[MeshExtractResult]:
|
||||
h = super().forward(x)
|
||||
for block in self.upsample:
|
||||
h = block(h)
|
||||
h = h.type(x.dtype)
|
||||
h = self.out_layer(h)
|
||||
return self.to_representation(h)
|
||||
@@ -0,0 +1,104 @@
|
||||
from typing import *
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
import torch.nn.functional as F
|
||||
import numpy as np
|
||||
from ...modules import sparse as sp
|
||||
from .base import SparseTransformerBase
|
||||
from ...representations import Strivec
|
||||
|
||||
|
||||
class SLatRadianceFieldDecoder(SparseTransformerBase):
|
||||
def __init__(
|
||||
self,
|
||||
resolution: int,
|
||||
model_channels: int,
|
||||
latent_channels: int,
|
||||
num_blocks: int,
|
||||
num_heads: Optional[int] = None,
|
||||
num_head_channels: Optional[int] = 64,
|
||||
mlp_ratio: float = 4,
|
||||
attn_mode: Literal["full", "shift_window", "shift_sequence", "shift_order", "swin"] = "swin",
|
||||
window_size: int = 8,
|
||||
pe_mode: Literal["ape", "rope"] = "ape",
|
||||
use_fp16: bool = False,
|
||||
use_checkpoint: bool = False,
|
||||
qk_rms_norm: bool = False,
|
||||
representation_config: dict = None,
|
||||
):
|
||||
super().__init__(
|
||||
in_channels=latent_channels,
|
||||
model_channels=model_channels,
|
||||
num_blocks=num_blocks,
|
||||
num_heads=num_heads,
|
||||
num_head_channels=num_head_channels,
|
||||
mlp_ratio=mlp_ratio,
|
||||
attn_mode=attn_mode,
|
||||
window_size=window_size,
|
||||
pe_mode=pe_mode,
|
||||
use_fp16=use_fp16,
|
||||
use_checkpoint=use_checkpoint,
|
||||
qk_rms_norm=qk_rms_norm,
|
||||
)
|
||||
self.resolution = resolution
|
||||
self.rep_config = representation_config
|
||||
self._calc_layout()
|
||||
self.out_layer = sp.SparseLinear(model_channels, self.out_channels)
|
||||
|
||||
self.initialize_weights()
|
||||
if use_fp16:
|
||||
self.convert_to_fp16()
|
||||
|
||||
def initialize_weights(self) -> None:
|
||||
super().initialize_weights()
|
||||
# Zero-out output layers:
|
||||
nn.init.constant_(self.out_layer.weight, 0)
|
||||
nn.init.constant_(self.out_layer.bias, 0)
|
||||
|
||||
def _calc_layout(self) -> None:
|
||||
self.layout = {
|
||||
'trivec': {'shape': (self.rep_config['rank'], 3, self.rep_config['dim']), 'size': self.rep_config['rank'] * 3 * self.rep_config['dim']},
|
||||
'density': {'shape': (self.rep_config['rank'],), 'size': self.rep_config['rank']},
|
||||
'features_dc': {'shape': (self.rep_config['rank'], 1, 3), 'size': self.rep_config['rank'] * 3},
|
||||
}
|
||||
start = 0
|
||||
for k, v in self.layout.items():
|
||||
v['range'] = (start, start + v['size'])
|
||||
start += v['size']
|
||||
self.out_channels = start
|
||||
|
||||
def to_representation(self, x: sp.SparseTensor) -> List[Strivec]:
|
||||
"""
|
||||
Convert a batch of network outputs to 3D representations.
|
||||
|
||||
Args:
|
||||
x: The [N x * x C] sparse tensor output by the network.
|
||||
|
||||
Returns:
|
||||
list of representations
|
||||
"""
|
||||
ret = []
|
||||
for i in range(x.shape[0]):
|
||||
representation = Strivec(
|
||||
sh_degree=0,
|
||||
resolution=self.resolution,
|
||||
aabb=[-0.5, -0.5, -0.5, 1, 1, 1],
|
||||
rank=self.rep_config['rank'],
|
||||
dim=self.rep_config['dim'],
|
||||
device='cuda',
|
||||
)
|
||||
representation.density_shift = 0.0
|
||||
representation.position = (x.coords[x.layout[i]][:, 1:].float() + 0.5) / self.resolution
|
||||
representation.depth = torch.full((representation.position.shape[0], 1), int(np.log2(self.resolution)), dtype=torch.uint8, device='cuda')
|
||||
for k, v in self.layout.items():
|
||||
setattr(representation, k, x.feats[x.layout[i]][:, v['range'][0]:v['range'][1]].reshape(-1, *v['shape']))
|
||||
representation.trivec = representation.trivec + 1
|
||||
ret.append(representation)
|
||||
return ret
|
||||
|
||||
def forward(self, x: sp.SparseTensor) -> List[Strivec]:
|
||||
h = super().forward(x)
|
||||
h = h.type(x.dtype)
|
||||
h = h.replace(F.layer_norm(h.feats, h.feats.shape[-1:]))
|
||||
h = self.out_layer(h)
|
||||
return self.to_representation(h)
|
||||
@@ -0,0 +1,72 @@
|
||||
from typing import *
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
import torch.nn.functional as F
|
||||
from ...modules import sparse as sp
|
||||
from .base import SparseTransformerBase
|
||||
|
||||
|
||||
class SLatEncoder(SparseTransformerBase):
|
||||
def __init__(
|
||||
self,
|
||||
resolution: int,
|
||||
in_channels: int,
|
||||
model_channels: int,
|
||||
latent_channels: int,
|
||||
num_blocks: int,
|
||||
num_heads: Optional[int] = None,
|
||||
num_head_channels: Optional[int] = 64,
|
||||
mlp_ratio: float = 4,
|
||||
attn_mode: Literal["full", "shift_window", "shift_sequence", "shift_order", "swin"] = "swin",
|
||||
window_size: int = 8,
|
||||
pe_mode: Literal["ape", "rope"] = "ape",
|
||||
use_fp16: bool = False,
|
||||
use_checkpoint: bool = False,
|
||||
qk_rms_norm: bool = False,
|
||||
):
|
||||
super().__init__(
|
||||
in_channels=in_channels,
|
||||
model_channels=model_channels,
|
||||
num_blocks=num_blocks,
|
||||
num_heads=num_heads,
|
||||
num_head_channels=num_head_channels,
|
||||
mlp_ratio=mlp_ratio,
|
||||
attn_mode=attn_mode,
|
||||
window_size=window_size,
|
||||
pe_mode=pe_mode,
|
||||
use_fp16=use_fp16,
|
||||
use_checkpoint=use_checkpoint,
|
||||
qk_rms_norm=qk_rms_norm,
|
||||
)
|
||||
self.resolution = resolution
|
||||
self.out_layer = sp.SparseLinear(model_channels, 2 * latent_channels)
|
||||
|
||||
self.initialize_weights()
|
||||
if use_fp16:
|
||||
self.convert_to_fp16()
|
||||
|
||||
def initialize_weights(self) -> None:
|
||||
super().initialize_weights()
|
||||
# Zero-out output layers:
|
||||
nn.init.constant_(self.out_layer.weight, 0)
|
||||
nn.init.constant_(self.out_layer.bias, 0)
|
||||
|
||||
def forward(self, x: sp.SparseTensor, sample_posterior=True, return_raw=False):
|
||||
h = super().forward(x)
|
||||
h = h.type(x.dtype)
|
||||
h = h.replace(F.layer_norm(h.feats, h.feats.shape[-1:]))
|
||||
h = self.out_layer(h)
|
||||
|
||||
# Sample from the posterior distribution
|
||||
mean, logvar = h.feats.chunk(2, dim=-1)
|
||||
if sample_posterior:
|
||||
std = torch.exp(0.5 * logvar)
|
||||
z = mean + std * torch.randn_like(std)
|
||||
else:
|
||||
z = mean
|
||||
z = h.replace(z)
|
||||
|
||||
if return_raw:
|
||||
return z, mean, logvar
|
||||
else:
|
||||
return z
|
||||
@@ -0,0 +1,36 @@
|
||||
from typing import *
|
||||
|
||||
BACKEND = 'xformers'
|
||||
DEBUG = False
|
||||
|
||||
def __from_env():
|
||||
import os
|
||||
|
||||
global BACKEND
|
||||
global DEBUG
|
||||
|
||||
env_attn_backend = os.environ.get('ATTN_BACKEND')
|
||||
env_sttn_debug = os.environ.get('ATTN_DEBUG')
|
||||
|
||||
if env_attn_backend is not None and env_attn_backend in ['xformers', 'flash_attn', 'sdpa', 'naive']:
|
||||
BACKEND = env_attn_backend
|
||||
if env_sttn_debug is not None:
|
||||
DEBUG = env_sttn_debug == '1'
|
||||
|
||||
print(f"[ATTENTION] Using backend: {BACKEND}")
|
||||
|
||||
|
||||
__from_env()
|
||||
|
||||
|
||||
def set_backend(backend: Literal['xformers', 'flash_attn']):
|
||||
global BACKEND
|
||||
BACKEND = backend
|
||||
|
||||
def set_debug(debug: bool):
|
||||
global DEBUG
|
||||
DEBUG = debug
|
||||
|
||||
|
||||
from .full_attn import *
|
||||
from .modules import *
|
||||
@@ -0,0 +1,140 @@
|
||||
from typing import *
|
||||
import torch
|
||||
import math
|
||||
from . import DEBUG, BACKEND
|
||||
|
||||
if BACKEND == 'xformers':
|
||||
import xformers.ops as xops
|
||||
elif BACKEND == 'flash_attn':
|
||||
import flash_attn
|
||||
elif BACKEND == 'sdpa':
|
||||
from torch.nn.functional import scaled_dot_product_attention as sdpa
|
||||
elif BACKEND == 'naive':
|
||||
pass
|
||||
else:
|
||||
raise ValueError(f"Unknown attention backend: {BACKEND}")
|
||||
|
||||
|
||||
__all__ = [
|
||||
'scaled_dot_product_attention',
|
||||
]
|
||||
|
||||
|
||||
def _naive_sdpa(q, k, v):
|
||||
"""
|
||||
Naive implementation of scaled dot product attention.
|
||||
"""
|
||||
q = q.permute(0, 2, 1, 3) # [N, H, L, C]
|
||||
k = k.permute(0, 2, 1, 3) # [N, H, L, C]
|
||||
v = v.permute(0, 2, 1, 3) # [N, H, L, C]
|
||||
scale_factor = 1 / math.sqrt(q.size(-1))
|
||||
attn_weight = q @ k.transpose(-2, -1) * scale_factor
|
||||
attn_weight = torch.softmax(attn_weight, dim=-1)
|
||||
out = attn_weight @ v
|
||||
out = out.permute(0, 2, 1, 3) # [N, L, H, C]
|
||||
return out
|
||||
|
||||
|
||||
@overload
|
||||
def scaled_dot_product_attention(qkv: torch.Tensor) -> torch.Tensor:
|
||||
"""
|
||||
Apply scaled dot product attention.
|
||||
|
||||
Args:
|
||||
qkv (torch.Tensor): A [N, L, 3, H, C] tensor containing Qs, Ks, and Vs.
|
||||
"""
|
||||
...
|
||||
|
||||
@overload
|
||||
def scaled_dot_product_attention(q: torch.Tensor, kv: torch.Tensor) -> torch.Tensor:
|
||||
"""
|
||||
Apply scaled dot product attention.
|
||||
|
||||
Args:
|
||||
q (torch.Tensor): A [N, L, H, C] tensor containing Qs.
|
||||
kv (torch.Tensor): A [N, L, 2, H, C] tensor containing Ks and Vs.
|
||||
"""
|
||||
...
|
||||
|
||||
@overload
|
||||
def scaled_dot_product_attention(q: torch.Tensor, k: torch.Tensor, v: torch.Tensor) -> torch.Tensor:
|
||||
"""
|
||||
Apply scaled dot product attention.
|
||||
|
||||
Args:
|
||||
q (torch.Tensor): A [N, L, H, Ci] tensor containing Qs.
|
||||
k (torch.Tensor): A [N, L, H, Ci] tensor containing Ks.
|
||||
v (torch.Tensor): A [N, L, H, Co] tensor containing Vs.
|
||||
|
||||
Note:
|
||||
k and v are assumed to have the same coordinate map.
|
||||
"""
|
||||
...
|
||||
|
||||
def scaled_dot_product_attention(*args, **kwargs):
|
||||
arg_names_dict = {
|
||||
1: ['qkv'],
|
||||
2: ['q', 'kv'],
|
||||
3: ['q', 'k', 'v']
|
||||
}
|
||||
num_all_args = len(args) + len(kwargs)
|
||||
assert num_all_args in arg_names_dict, f"Invalid number of arguments, got {num_all_args}, expected 1, 2, or 3"
|
||||
for key in arg_names_dict[num_all_args][len(args):]:
|
||||
assert key in kwargs, f"Missing argument {key}"
|
||||
|
||||
if num_all_args == 1:
|
||||
qkv = args[0] if len(args) > 0 else kwargs['qkv']
|
||||
assert len(qkv.shape) == 5 and qkv.shape[2] == 3, f"Invalid shape for qkv, got {qkv.shape}, expected [N, L, 3, H, C]"
|
||||
device = qkv.device
|
||||
|
||||
elif num_all_args == 2:
|
||||
q = args[0] if len(args) > 0 else kwargs['q']
|
||||
kv = args[1] if len(args) > 1 else kwargs['kv']
|
||||
assert q.shape[0] == kv.shape[0], f"Batch size mismatch, got {q.shape[0]} and {kv.shape[0]}"
|
||||
assert len(q.shape) == 4, f"Invalid shape for q, got {q.shape}, expected [N, L, H, C]"
|
||||
assert len(kv.shape) == 5, f"Invalid shape for kv, got {kv.shape}, expected [N, L, 2, H, C]"
|
||||
device = q.device
|
||||
|
||||
elif num_all_args == 3:
|
||||
q = args[0] if len(args) > 0 else kwargs['q']
|
||||
k = args[1] if len(args) > 1 else kwargs['k']
|
||||
v = args[2] if len(args) > 2 else kwargs['v']
|
||||
assert q.shape[0] == k.shape[0] == v.shape[0], f"Batch size mismatch, got {q.shape[0]}, {k.shape[0]}, and {v.shape[0]}"
|
||||
assert len(q.shape) == 4, f"Invalid shape for q, got {q.shape}, expected [N, L, H, Ci]"
|
||||
assert len(k.shape) == 4, f"Invalid shape for k, got {k.shape}, expected [N, L, H, Ci]"
|
||||
assert len(v.shape) == 4, f"Invalid shape for v, got {v.shape}, expected [N, L, H, Co]"
|
||||
device = q.device
|
||||
|
||||
if BACKEND == 'xformers':
|
||||
if num_all_args == 1:
|
||||
q, k, v = qkv.unbind(dim=2)
|
||||
elif num_all_args == 2:
|
||||
k, v = kv.unbind(dim=2)
|
||||
out = xops.memory_efficient_attention(q, k, v)
|
||||
elif BACKEND == 'flash_attn':
|
||||
if num_all_args == 1:
|
||||
out = flash_attn.flash_attn_qkvpacked_func(qkv)
|
||||
elif num_all_args == 2:
|
||||
out = flash_attn.flash_attn_kvpacked_func(q, kv)
|
||||
elif num_all_args == 3:
|
||||
out = flash_attn.flash_attn_func(q, k, v)
|
||||
elif BACKEND == 'sdpa':
|
||||
if num_all_args == 1:
|
||||
q, k, v = qkv.unbind(dim=2)
|
||||
elif num_all_args == 2:
|
||||
k, v = kv.unbind(dim=2)
|
||||
q = q.permute(0, 2, 1, 3) # [N, H, L, C]
|
||||
k = k.permute(0, 2, 1, 3) # [N, H, L, C]
|
||||
v = v.permute(0, 2, 1, 3) # [N, H, L, C]
|
||||
out = sdpa(q, k, v) # [N, H, L, C]
|
||||
out = out.permute(0, 2, 1, 3) # [N, L, H, C]
|
||||
elif BACKEND == 'naive':
|
||||
if num_all_args == 1:
|
||||
q, k, v = qkv.unbind(dim=2)
|
||||
elif num_all_args == 2:
|
||||
k, v = kv.unbind(dim=2)
|
||||
out = _naive_sdpa(q, k, v)
|
||||
else:
|
||||
raise ValueError(f"Unknown attention module: {BACKEND}")
|
||||
|
||||
return out
|
||||
@@ -0,0 +1,146 @@
|
||||
from typing import *
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
import torch.nn.functional as F
|
||||
from .full_attn import scaled_dot_product_attention
|
||||
|
||||
|
||||
class MultiHeadRMSNorm(nn.Module):
|
||||
def __init__(self, dim: int, heads: int):
|
||||
super().__init__()
|
||||
self.scale = dim ** 0.5
|
||||
self.gamma = nn.Parameter(torch.ones(heads, dim))
|
||||
|
||||
def forward(self, x: torch.Tensor) -> torch.Tensor:
|
||||
return (F.normalize(x.float(), dim = -1) * self.gamma * self.scale).to(x.dtype)
|
||||
|
||||
|
||||
class RotaryPositionEmbedder(nn.Module):
|
||||
def __init__(self, hidden_size: int, in_channels: int = 3):
|
||||
super().__init__()
|
||||
assert hidden_size % 2 == 0, "Hidden size must be divisible by 2"
|
||||
self.hidden_size = hidden_size
|
||||
self.in_channels = in_channels
|
||||
self.freq_dim = hidden_size // in_channels // 2
|
||||
self.freqs = torch.arange(self.freq_dim, dtype=torch.float32) / self.freq_dim
|
||||
self.freqs = 1.0 / (10000 ** self.freqs)
|
||||
|
||||
def _get_phases(self, indices: torch.Tensor) -> torch.Tensor:
|
||||
self.freqs = self.freqs.to(indices.device)
|
||||
phases = torch.outer(indices, self.freqs)
|
||||
phases = torch.polar(torch.ones_like(phases), phases)
|
||||
return phases
|
||||
|
||||
def _rotary_embedding(self, x: torch.Tensor, phases: torch.Tensor) -> torch.Tensor:
|
||||
x_complex = torch.view_as_complex(x.float().reshape(*x.shape[:-1], -1, 2))
|
||||
x_rotated = x_complex * phases
|
||||
x_embed = torch.view_as_real(x_rotated).reshape(*x_rotated.shape[:-1], -1).to(x.dtype)
|
||||
return x_embed
|
||||
|
||||
def forward(self, q: torch.Tensor, k: torch.Tensor, indices: Optional[torch.Tensor] = None) -> Tuple[torch.Tensor, torch.Tensor]:
|
||||
"""
|
||||
Args:
|
||||
q (sp.SparseTensor): [..., N, D] tensor of queries
|
||||
k (sp.SparseTensor): [..., N, D] tensor of keys
|
||||
indices (torch.Tensor): [..., N, C] tensor of spatial positions
|
||||
"""
|
||||
if indices is None:
|
||||
indices = torch.arange(q.shape[-2], device=q.device)
|
||||
if len(q.shape) > 2:
|
||||
indices = indices.unsqueeze(0).expand(q.shape[:-2] + (-1,))
|
||||
|
||||
phases = self._get_phases(indices.reshape(-1)).reshape(*indices.shape[:-1], -1)
|
||||
if phases.shape[1] < self.hidden_size // 2:
|
||||
phases = torch.cat([phases, torch.polar(
|
||||
torch.ones(*phases.shape[:-1], self.hidden_size // 2 - phases.shape[1], device=phases.device),
|
||||
torch.zeros(*phases.shape[:-1], self.hidden_size // 2 - phases.shape[1], device=phases.device)
|
||||
)], dim=-1)
|
||||
q_embed = self._rotary_embedding(q, phases)
|
||||
k_embed = self._rotary_embedding(k, phases)
|
||||
return q_embed, k_embed
|
||||
|
||||
|
||||
class MultiHeadAttention(nn.Module):
|
||||
def __init__(
|
||||
self,
|
||||
channels: int,
|
||||
num_heads: int,
|
||||
ctx_channels: Optional[int]=None,
|
||||
type: Literal["self", "cross"] = "self",
|
||||
attn_mode: Literal["full", "windowed"] = "full",
|
||||
window_size: Optional[int] = None,
|
||||
shift_window: Optional[Tuple[int, int, int]] = None,
|
||||
qkv_bias: bool = True,
|
||||
use_rope: bool = False,
|
||||
qk_rms_norm: bool = False,
|
||||
):
|
||||
super().__init__()
|
||||
assert channels % num_heads == 0
|
||||
assert type in ["self", "cross"], f"Invalid attention type: {type}"
|
||||
assert attn_mode in ["full", "windowed"], f"Invalid attention mode: {attn_mode}"
|
||||
assert type == "self" or attn_mode == "full", "Cross-attention only supports full attention"
|
||||
|
||||
if attn_mode == "windowed":
|
||||
raise NotImplementedError("Windowed attention is not yet implemented")
|
||||
|
||||
self.channels = channels
|
||||
self.head_dim = channels // num_heads
|
||||
self.ctx_channels = ctx_channels if ctx_channels is not None else channels
|
||||
self.num_heads = num_heads
|
||||
self._type = type
|
||||
self.attn_mode = attn_mode
|
||||
self.window_size = window_size
|
||||
self.shift_window = shift_window
|
||||
self.use_rope = use_rope
|
||||
self.qk_rms_norm = qk_rms_norm
|
||||
|
||||
if self._type == "self":
|
||||
self.to_qkv = nn.Linear(channels, channels * 3, bias=qkv_bias)
|
||||
else:
|
||||
self.to_q = nn.Linear(channels, channels, bias=qkv_bias)
|
||||
self.to_kv = nn.Linear(self.ctx_channels, channels * 2, bias=qkv_bias)
|
||||
|
||||
if self.qk_rms_norm:
|
||||
self.q_rms_norm = MultiHeadRMSNorm(self.head_dim, num_heads)
|
||||
self.k_rms_norm = MultiHeadRMSNorm(self.head_dim, num_heads)
|
||||
|
||||
self.to_out = nn.Linear(channels, channels)
|
||||
|
||||
if use_rope:
|
||||
self.rope = RotaryPositionEmbedder(channels)
|
||||
|
||||
def forward(self, x: torch.Tensor, context: Optional[torch.Tensor] = None, indices: Optional[torch.Tensor] = None) -> torch.Tensor:
|
||||
B, L, C = x.shape
|
||||
if self._type == "self":
|
||||
qkv = self.to_qkv(x)
|
||||
qkv = qkv.reshape(B, L, 3, self.num_heads, -1)
|
||||
if self.use_rope:
|
||||
q, k, v = qkv.unbind(dim=2)
|
||||
q, k = self.rope(q, k, indices)
|
||||
qkv = torch.stack([q, k, v], dim=2)
|
||||
if self.attn_mode == "full":
|
||||
if self.qk_rms_norm:
|
||||
q, k, v = qkv.unbind(dim=2)
|
||||
q = self.q_rms_norm(q)
|
||||
k = self.k_rms_norm(k)
|
||||
h = scaled_dot_product_attention(q, k, v)
|
||||
else:
|
||||
h = scaled_dot_product_attention(qkv)
|
||||
elif self.attn_mode == "windowed":
|
||||
raise NotImplementedError("Windowed attention is not yet implemented")
|
||||
else:
|
||||
Lkv = context.shape[1]
|
||||
q = self.to_q(x)
|
||||
kv = self.to_kv(context)
|
||||
q = q.reshape(B, L, self.num_heads, -1)
|
||||
kv = kv.reshape(B, Lkv, 2, self.num_heads, -1)
|
||||
if self.qk_rms_norm:
|
||||
q = self.q_rms_norm(q)
|
||||
k, v = kv.unbind(dim=2)
|
||||
k = self.k_rms_norm(k)
|
||||
h = scaled_dot_product_attention(q, k, v)
|
||||
else:
|
||||
h = scaled_dot_product_attention(q, kv)
|
||||
h = h.reshape(B, L, -1)
|
||||
h = self.to_out(h)
|
||||
return h
|
||||
@@ -0,0 +1,25 @@
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
|
||||
|
||||
class LayerNorm32(nn.LayerNorm):
|
||||
def forward(self, x: torch.Tensor) -> torch.Tensor:
|
||||
return super().forward(x.float()).type(x.dtype)
|
||||
|
||||
|
||||
class GroupNorm32(nn.GroupNorm):
|
||||
"""
|
||||
A GroupNorm layer that converts to float32 before the forward pass.
|
||||
"""
|
||||
def forward(self, x: torch.Tensor) -> torch.Tensor:
|
||||
return super().forward(x.float()).type(x.dtype)
|
||||
|
||||
|
||||
class ChannelLayerNorm32(LayerNorm32):
|
||||
def forward(self, x: torch.Tensor) -> torch.Tensor:
|
||||
DIM = x.dim()
|
||||
x = x.permute(0, *range(2, DIM), 1).contiguous()
|
||||
x = super().forward(x)
|
||||
x = x.permute(0, DIM-1, *range(1, DIM-1)).contiguous()
|
||||
return x
|
||||
|
||||
@@ -0,0 +1,102 @@
|
||||
from typing import *
|
||||
|
||||
BACKEND = 'spconv'
|
||||
DEBUG = False
|
||||
ATTN = 'xformers'
|
||||
|
||||
def __from_env():
|
||||
import os
|
||||
|
||||
global BACKEND
|
||||
global DEBUG
|
||||
global ATTN
|
||||
|
||||
env_sparse_backend = os.environ.get('SPARSE_BACKEND')
|
||||
env_sparse_debug = os.environ.get('SPARSE_DEBUG')
|
||||
env_sparse_attn = os.environ.get('SPARSE_ATTN_BACKEND')
|
||||
if env_sparse_attn is None:
|
||||
env_sparse_attn = os.environ.get('ATTN_BACKEND')
|
||||
|
||||
if env_sparse_backend is not None and env_sparse_backend in ['spconv', 'torchsparse']:
|
||||
BACKEND = env_sparse_backend
|
||||
if env_sparse_debug is not None:
|
||||
DEBUG = env_sparse_debug == '1'
|
||||
if env_sparse_attn is not None and env_sparse_attn in ['xformers', 'flash_attn']:
|
||||
ATTN = env_sparse_attn
|
||||
|
||||
print(f"[SPARSE] Backend: {BACKEND}, Attention: {ATTN}")
|
||||
|
||||
|
||||
__from_env()
|
||||
|
||||
|
||||
def set_backend(backend: Literal['spconv', 'torchsparse']):
|
||||
global BACKEND
|
||||
BACKEND = backend
|
||||
|
||||
def set_debug(debug: bool):
|
||||
global DEBUG
|
||||
DEBUG = debug
|
||||
|
||||
def set_attn(attn: Literal['xformers', 'flash_attn']):
|
||||
global ATTN
|
||||
ATTN = attn
|
||||
|
||||
|
||||
import importlib
|
||||
|
||||
__attributes = {
|
||||
'SparseTensor': 'basic',
|
||||
'sparse_batch_broadcast': 'basic',
|
||||
'sparse_batch_op': 'basic',
|
||||
'sparse_cat': 'basic',
|
||||
'sparse_unbind': 'basic',
|
||||
'SparseGroupNorm': 'norm',
|
||||
'SparseLayerNorm': 'norm',
|
||||
'SparseGroupNorm32': 'norm',
|
||||
'SparseLayerNorm32': 'norm',
|
||||
'SparseReLU': 'nonlinearity',
|
||||
'SparseSiLU': 'nonlinearity',
|
||||
'SparseGELU': 'nonlinearity',
|
||||
'SparseActivation': 'nonlinearity',
|
||||
'SparseLinear': 'linear',
|
||||
'sparse_scaled_dot_product_attention': 'attention',
|
||||
'SerializeMode': 'attention',
|
||||
'sparse_serialized_scaled_dot_product_self_attention': 'attention',
|
||||
'sparse_windowed_scaled_dot_product_self_attention': 'attention',
|
||||
'SparseMultiHeadAttention': 'attention',
|
||||
'SparseConv3d': 'conv',
|
||||
'SparseInverseConv3d': 'conv',
|
||||
'SparseDownsample': 'spatial',
|
||||
'SparseUpsample': 'spatial',
|
||||
'SparseSubdivide' : 'spatial'
|
||||
}
|
||||
|
||||
__submodules = ['transformer']
|
||||
|
||||
__all__ = list(__attributes.keys()) + __submodules
|
||||
|
||||
def __getattr__(name):
|
||||
if name not in globals():
|
||||
if name in __attributes:
|
||||
module_name = __attributes[name]
|
||||
module = importlib.import_module(f".{module_name}", __name__)
|
||||
globals()[name] = getattr(module, name)
|
||||
elif name in __submodules:
|
||||
module = importlib.import_module(f".{name}", __name__)
|
||||
globals()[name] = module
|
||||
else:
|
||||
raise AttributeError(f"module {__name__} has no attribute {name}")
|
||||
return globals()[name]
|
||||
|
||||
|
||||
# For Pylance
|
||||
if __name__ == '__main__':
|
||||
from .basic import *
|
||||
from .norm import *
|
||||
from .nonlinearity import *
|
||||
from .linear import *
|
||||
from .attention import *
|
||||
from .conv import *
|
||||
from .spatial import *
|
||||
import transformer
|
||||
@@ -0,0 +1,4 @@
|
||||
from .full_attn import *
|
||||
from .serialized_attn import *
|
||||
from .windowed_attn import *
|
||||
from .modules import *
|
||||
@@ -0,0 +1,215 @@
|
||||
from typing import *
|
||||
import torch
|
||||
from .. import SparseTensor
|
||||
from .. import DEBUG, ATTN
|
||||
|
||||
if ATTN == 'xformers':
|
||||
import xformers.ops as xops
|
||||
elif ATTN == 'flash_attn':
|
||||
import flash_attn
|
||||
else:
|
||||
raise ValueError(f"Unknown attention module: {ATTN}")
|
||||
|
||||
|
||||
__all__ = [
|
||||
'sparse_scaled_dot_product_attention',
|
||||
]
|
||||
|
||||
|
||||
@overload
|
||||
def sparse_scaled_dot_product_attention(qkv: SparseTensor) -> SparseTensor:
|
||||
"""
|
||||
Apply scaled dot product attention to a sparse tensor.
|
||||
|
||||
Args:
|
||||
qkv (SparseTensor): A [N, *, 3, H, C] sparse tensor containing Qs, Ks, and Vs.
|
||||
"""
|
||||
...
|
||||
|
||||
@overload
|
||||
def sparse_scaled_dot_product_attention(q: SparseTensor, kv: Union[SparseTensor, torch.Tensor]) -> SparseTensor:
|
||||
"""
|
||||
Apply scaled dot product attention to a sparse tensor.
|
||||
|
||||
Args:
|
||||
q (SparseTensor): A [N, *, H, C] sparse tensor containing Qs.
|
||||
kv (SparseTensor or torch.Tensor): A [N, *, 2, H, C] sparse tensor or a [N, L, 2, H, C] dense tensor containing Ks and Vs.
|
||||
"""
|
||||
...
|
||||
|
||||
@overload
|
||||
def sparse_scaled_dot_product_attention(q: torch.Tensor, kv: SparseTensor) -> torch.Tensor:
|
||||
"""
|
||||
Apply scaled dot product attention to a sparse tensor.
|
||||
|
||||
Args:
|
||||
q (SparseTensor): A [N, L, H, C] dense tensor containing Qs.
|
||||
kv (SparseTensor or torch.Tensor): A [N, *, 2, H, C] sparse tensor containing Ks and Vs.
|
||||
"""
|
||||
...
|
||||
|
||||
@overload
|
||||
def sparse_scaled_dot_product_attention(q: SparseTensor, k: SparseTensor, v: SparseTensor) -> SparseTensor:
|
||||
"""
|
||||
Apply scaled dot product attention to a sparse tensor.
|
||||
|
||||
Args:
|
||||
q (SparseTensor): A [N, *, H, Ci] sparse tensor containing Qs.
|
||||
k (SparseTensor): A [N, *, H, Ci] sparse tensor containing Ks.
|
||||
v (SparseTensor): A [N, *, H, Co] sparse tensor containing Vs.
|
||||
|
||||
Note:
|
||||
k and v are assumed to have the same coordinate map.
|
||||
"""
|
||||
...
|
||||
|
||||
@overload
|
||||
def sparse_scaled_dot_product_attention(q: SparseTensor, k: torch.Tensor, v: torch.Tensor) -> SparseTensor:
|
||||
"""
|
||||
Apply scaled dot product attention to a sparse tensor.
|
||||
|
||||
Args:
|
||||
q (SparseTensor): A [N, *, H, Ci] sparse tensor containing Qs.
|
||||
k (torch.Tensor): A [N, L, H, Ci] dense tensor containing Ks.
|
||||
v (torch.Tensor): A [N, L, H, Co] dense tensor containing Vs.
|
||||
"""
|
||||
...
|
||||
|
||||
@overload
|
||||
def sparse_scaled_dot_product_attention(q: torch.Tensor, k: SparseTensor, v: SparseTensor) -> torch.Tensor:
|
||||
"""
|
||||
Apply scaled dot product attention to a sparse tensor.
|
||||
|
||||
Args:
|
||||
q (torch.Tensor): A [N, L, H, Ci] dense tensor containing Qs.
|
||||
k (SparseTensor): A [N, *, H, Ci] sparse tensor containing Ks.
|
||||
v (SparseTensor): A [N, *, H, Co] sparse tensor containing Vs.
|
||||
"""
|
||||
...
|
||||
|
||||
def sparse_scaled_dot_product_attention(*args, **kwargs):
|
||||
arg_names_dict = {
|
||||
1: ['qkv'],
|
||||
2: ['q', 'kv'],
|
||||
3: ['q', 'k', 'v']
|
||||
}
|
||||
num_all_args = len(args) + len(kwargs)
|
||||
assert num_all_args in arg_names_dict, f"Invalid number of arguments, got {num_all_args}, expected 1, 2, or 3"
|
||||
for key in arg_names_dict[num_all_args][len(args):]:
|
||||
assert key in kwargs, f"Missing argument {key}"
|
||||
|
||||
if num_all_args == 1:
|
||||
qkv = args[0] if len(args) > 0 else kwargs['qkv']
|
||||
assert isinstance(qkv, SparseTensor), f"qkv must be a SparseTensor, got {type(qkv)}"
|
||||
assert len(qkv.shape) == 4 and qkv.shape[1] == 3, f"Invalid shape for qkv, got {qkv.shape}, expected [N, *, 3, H, C]"
|
||||
device = qkv.device
|
||||
|
||||
s = qkv
|
||||
q_seqlen = [qkv.layout[i].stop - qkv.layout[i].start for i in range(qkv.shape[0])]
|
||||
kv_seqlen = q_seqlen
|
||||
qkv = qkv.feats # [T, 3, H, C]
|
||||
|
||||
elif num_all_args == 2:
|
||||
q = args[0] if len(args) > 0 else kwargs['q']
|
||||
kv = args[1] if len(args) > 1 else kwargs['kv']
|
||||
assert isinstance(q, SparseTensor) and isinstance(kv, (SparseTensor, torch.Tensor)) or \
|
||||
isinstance(q, torch.Tensor) and isinstance(kv, SparseTensor), \
|
||||
f"Invalid types, got {type(q)} and {type(kv)}"
|
||||
assert q.shape[0] == kv.shape[0], f"Batch size mismatch, got {q.shape[0]} and {kv.shape[0]}"
|
||||
device = q.device
|
||||
|
||||
if isinstance(q, SparseTensor):
|
||||
assert len(q.shape) == 3, f"Invalid shape for q, got {q.shape}, expected [N, *, H, C]"
|
||||
s = q
|
||||
q_seqlen = [q.layout[i].stop - q.layout[i].start for i in range(q.shape[0])]
|
||||
q = q.feats # [T_Q, H, C]
|
||||
else:
|
||||
assert len(q.shape) == 4, f"Invalid shape for q, got {q.shape}, expected [N, L, H, C]"
|
||||
s = None
|
||||
N, L, H, C = q.shape
|
||||
q_seqlen = [L] * N
|
||||
q = q.reshape(N * L, H, C) # [T_Q, H, C]
|
||||
|
||||
if isinstance(kv, SparseTensor):
|
||||
assert len(kv.shape) == 4 and kv.shape[1] == 2, f"Invalid shape for kv, got {kv.shape}, expected [N, *, 2, H, C]"
|
||||
kv_seqlen = [kv.layout[i].stop - kv.layout[i].start for i in range(kv.shape[0])]
|
||||
kv = kv.feats # [T_KV, 2, H, C]
|
||||
else:
|
||||
assert len(kv.shape) == 5, f"Invalid shape for kv, got {kv.shape}, expected [N, L, 2, H, C]"
|
||||
N, L, _, H, C = kv.shape
|
||||
kv_seqlen = [L] * N
|
||||
kv = kv.reshape(N * L, 2, H, C) # [T_KV, 2, H, C]
|
||||
|
||||
elif num_all_args == 3:
|
||||
q = args[0] if len(args) > 0 else kwargs['q']
|
||||
k = args[1] if len(args) > 1 else kwargs['k']
|
||||
v = args[2] if len(args) > 2 else kwargs['v']
|
||||
assert isinstance(q, SparseTensor) and isinstance(k, (SparseTensor, torch.Tensor)) and type(k) == type(v) or \
|
||||
isinstance(q, torch.Tensor) and isinstance(k, SparseTensor) and isinstance(v, SparseTensor), \
|
||||
f"Invalid types, got {type(q)}, {type(k)}, and {type(v)}"
|
||||
assert q.shape[0] == k.shape[0] == v.shape[0], f"Batch size mismatch, got {q.shape[0]}, {k.shape[0]}, and {v.shape[0]}"
|
||||
device = q.device
|
||||
|
||||
if isinstance(q, SparseTensor):
|
||||
assert len(q.shape) == 3, f"Invalid shape for q, got {q.shape}, expected [N, *, H, Ci]"
|
||||
s = q
|
||||
q_seqlen = [q.layout[i].stop - q.layout[i].start for i in range(q.shape[0])]
|
||||
q = q.feats # [T_Q, H, Ci]
|
||||
else:
|
||||
assert len(q.shape) == 4, f"Invalid shape for q, got {q.shape}, expected [N, L, H, Ci]"
|
||||
s = None
|
||||
N, L, H, CI = q.shape
|
||||
q_seqlen = [L] * N
|
||||
q = q.reshape(N * L, H, CI) # [T_Q, H, Ci]
|
||||
|
||||
if isinstance(k, SparseTensor):
|
||||
assert len(k.shape) == 3, f"Invalid shape for k, got {k.shape}, expected [N, *, H, Ci]"
|
||||
assert len(v.shape) == 3, f"Invalid shape for v, got {v.shape}, expected [N, *, H, Co]"
|
||||
kv_seqlen = [k.layout[i].stop - k.layout[i].start for i in range(k.shape[0])]
|
||||
k = k.feats # [T_KV, H, Ci]
|
||||
v = v.feats # [T_KV, H, Co]
|
||||
else:
|
||||
assert len(k.shape) == 4, f"Invalid shape for k, got {k.shape}, expected [N, L, H, Ci]"
|
||||
assert len(v.shape) == 4, f"Invalid shape for v, got {v.shape}, expected [N, L, H, Co]"
|
||||
N, L, H, CI, CO = *k.shape, v.shape[-1]
|
||||
kv_seqlen = [L] * N
|
||||
k = k.reshape(N * L, H, CI) # [T_KV, H, Ci]
|
||||
v = v.reshape(N * L, H, CO) # [T_KV, H, Co]
|
||||
|
||||
if DEBUG:
|
||||
if s is not None:
|
||||
for i in range(s.shape[0]):
|
||||
assert (s.coords[s.layout[i]] == i).all(), f"SparseScaledDotProductSelfAttention: batch index mismatch"
|
||||
if num_all_args in [2, 3]:
|
||||
assert q.shape[:2] == [1, sum(q_seqlen)], f"SparseScaledDotProductSelfAttention: q shape mismatch"
|
||||
if num_all_args == 3:
|
||||
assert k.shape[:2] == [1, sum(kv_seqlen)], f"SparseScaledDotProductSelfAttention: k shape mismatch"
|
||||
assert v.shape[:2] == [1, sum(kv_seqlen)], f"SparseScaledDotProductSelfAttention: v shape mismatch"
|
||||
|
||||
if ATTN == 'xformers':
|
||||
if num_all_args == 1:
|
||||
q, k, v = qkv.unbind(dim=1)
|
||||
elif num_all_args == 2:
|
||||
k, v = kv.unbind(dim=1)
|
||||
q = q.unsqueeze(0)
|
||||
k = k.unsqueeze(0)
|
||||
v = v.unsqueeze(0)
|
||||
mask = xops.fmha.BlockDiagonalMask.from_seqlens(q_seqlen, kv_seqlen)
|
||||
out = xops.memory_efficient_attention(q, k, v, mask)[0]
|
||||
elif ATTN == 'flash_attn':
|
||||
cu_seqlens_q = torch.cat([torch.tensor([0]), torch.cumsum(torch.tensor(q_seqlen), dim=0)]).int().to(device)
|
||||
if num_all_args in [2, 3]:
|
||||
cu_seqlens_kv = torch.cat([torch.tensor([0]), torch.cumsum(torch.tensor(kv_seqlen), dim=0)]).int().to(device)
|
||||
if num_all_args == 1:
|
||||
out = flash_attn.flash_attn_varlen_qkvpacked_func(qkv, cu_seqlens_q, max(q_seqlen))
|
||||
elif num_all_args == 2:
|
||||
out = flash_attn.flash_attn_varlen_kvpacked_func(q, kv, cu_seqlens_q, cu_seqlens_kv, max(q_seqlen), max(kv_seqlen))
|
||||
elif num_all_args == 3:
|
||||
out = flash_attn.flash_attn_varlen_func(q, k, v, cu_seqlens_q, cu_seqlens_kv, max(q_seqlen), max(kv_seqlen))
|
||||
else:
|
||||
raise ValueError(f"Unknown attention module: {ATTN}")
|
||||
|
||||
if s is not None:
|
||||
return s.replace(out)
|
||||
else:
|
||||
return out.reshape(N, L, H, -1)
|
||||
@@ -0,0 +1,139 @@
|
||||
from typing import *
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
import torch.nn.functional as F
|
||||
from .. import SparseTensor
|
||||
from .full_attn import sparse_scaled_dot_product_attention
|
||||
from .serialized_attn import SerializeMode, sparse_serialized_scaled_dot_product_self_attention
|
||||
from .windowed_attn import sparse_windowed_scaled_dot_product_self_attention
|
||||
from ...attention import RotaryPositionEmbedder
|
||||
|
||||
|
||||
class SparseMultiHeadRMSNorm(nn.Module):
|
||||
def __init__(self, dim: int, heads: int):
|
||||
super().__init__()
|
||||
self.scale = dim ** 0.5
|
||||
self.gamma = nn.Parameter(torch.ones(heads, dim))
|
||||
|
||||
def forward(self, x: Union[SparseTensor, torch.Tensor]) -> Union[SparseTensor, torch.Tensor]:
|
||||
x_type = x.dtype
|
||||
x = x.float()
|
||||
if isinstance(x, SparseTensor):
|
||||
x = x.replace(F.normalize(x.feats, dim=-1))
|
||||
else:
|
||||
x = F.normalize(x, dim=-1)
|
||||
return (x * self.gamma * self.scale).to(x_type)
|
||||
|
||||
|
||||
class SparseMultiHeadAttention(nn.Module):
|
||||
def __init__(
|
||||
self,
|
||||
channels: int,
|
||||
num_heads: int,
|
||||
ctx_channels: Optional[int] = None,
|
||||
type: Literal["self", "cross"] = "self",
|
||||
attn_mode: Literal["full", "serialized", "windowed"] = "full",
|
||||
window_size: Optional[int] = None,
|
||||
shift_sequence: Optional[int] = None,
|
||||
shift_window: Optional[Tuple[int, int, int]] = None,
|
||||
serialize_mode: Optional[SerializeMode] = None,
|
||||
qkv_bias: bool = True,
|
||||
use_rope: bool = False,
|
||||
qk_rms_norm: bool = False,
|
||||
):
|
||||
super().__init__()
|
||||
assert channels % num_heads == 0
|
||||
assert type in ["self", "cross"], f"Invalid attention type: {type}"
|
||||
assert attn_mode in ["full", "serialized", "windowed"], f"Invalid attention mode: {attn_mode}"
|
||||
assert type == "self" or attn_mode == "full", "Cross-attention only supports full attention"
|
||||
assert type == "self" or use_rope is False, "Rotary position embeddings only supported for self-attention"
|
||||
self.channels = channels
|
||||
self.ctx_channels = ctx_channels if ctx_channels is not None else channels
|
||||
self.num_heads = num_heads
|
||||
self._type = type
|
||||
self.attn_mode = attn_mode
|
||||
self.window_size = window_size
|
||||
self.shift_sequence = shift_sequence
|
||||
self.shift_window = shift_window
|
||||
self.serialize_mode = serialize_mode
|
||||
self.use_rope = use_rope
|
||||
self.qk_rms_norm = qk_rms_norm
|
||||
|
||||
if self._type == "self":
|
||||
self.to_qkv = nn.Linear(channels, channels * 3, bias=qkv_bias)
|
||||
else:
|
||||
self.to_q = nn.Linear(channels, channels, bias=qkv_bias)
|
||||
self.to_kv = nn.Linear(self.ctx_channels, channels * 2, bias=qkv_bias)
|
||||
|
||||
if self.qk_rms_norm:
|
||||
self.q_rms_norm = SparseMultiHeadRMSNorm(channels // num_heads, num_heads)
|
||||
self.k_rms_norm = SparseMultiHeadRMSNorm(channels // num_heads, num_heads)
|
||||
|
||||
self.to_out = nn.Linear(channels, channels)
|
||||
|
||||
if use_rope:
|
||||
self.rope = RotaryPositionEmbedder(channels)
|
||||
|
||||
@staticmethod
|
||||
def _linear(module: nn.Linear, x: Union[SparseTensor, torch.Tensor]) -> Union[SparseTensor, torch.Tensor]:
|
||||
if isinstance(x, SparseTensor):
|
||||
return x.replace(module(x.feats))
|
||||
else:
|
||||
return module(x)
|
||||
|
||||
@staticmethod
|
||||
def _reshape_chs(x: Union[SparseTensor, torch.Tensor], shape: Tuple[int, ...]) -> Union[SparseTensor, torch.Tensor]:
|
||||
if isinstance(x, SparseTensor):
|
||||
return x.reshape(*shape)
|
||||
else:
|
||||
return x.reshape(*x.shape[:2], *shape)
|
||||
|
||||
def _fused_pre(self, x: Union[SparseTensor, torch.Tensor], num_fused: int) -> Union[SparseTensor, torch.Tensor]:
|
||||
if isinstance(x, SparseTensor):
|
||||
x_feats = x.feats.unsqueeze(0)
|
||||
else:
|
||||
x_feats = x
|
||||
x_feats = x_feats.reshape(*x_feats.shape[:2], num_fused, self.num_heads, -1)
|
||||
return x.replace(x_feats.squeeze(0)) if isinstance(x, SparseTensor) else x_feats
|
||||
|
||||
def _rope(self, qkv: SparseTensor) -> SparseTensor:
|
||||
q, k, v = qkv.feats.unbind(dim=1) # [T, H, C]
|
||||
q, k = self.rope(q, k, qkv.coords[:, 1:])
|
||||
qkv = qkv.replace(torch.stack([q, k, v], dim=1))
|
||||
return qkv
|
||||
|
||||
def forward(self, x: Union[SparseTensor, torch.Tensor], context: Optional[Union[SparseTensor, torch.Tensor]] = None) -> Union[SparseTensor, torch.Tensor]:
|
||||
if self._type == "self":
|
||||
qkv = self._linear(self.to_qkv, x)
|
||||
qkv = self._fused_pre(qkv, num_fused=3)
|
||||
if self.use_rope:
|
||||
qkv = self._rope(qkv)
|
||||
if self.qk_rms_norm:
|
||||
q, k, v = qkv.unbind(dim=1)
|
||||
q = self.q_rms_norm(q)
|
||||
k = self.k_rms_norm(k)
|
||||
qkv = qkv.replace(torch.stack([q.feats, k.feats, v.feats], dim=1))
|
||||
if self.attn_mode == "full":
|
||||
h = sparse_scaled_dot_product_attention(qkv)
|
||||
elif self.attn_mode == "serialized":
|
||||
h = sparse_serialized_scaled_dot_product_self_attention(
|
||||
qkv, self.window_size, serialize_mode=self.serialize_mode, shift_sequence=self.shift_sequence, shift_window=self.shift_window
|
||||
)
|
||||
elif self.attn_mode == "windowed":
|
||||
h = sparse_windowed_scaled_dot_product_self_attention(
|
||||
qkv, self.window_size, shift_window=self.shift_window
|
||||
)
|
||||
else:
|
||||
q = self._linear(self.to_q, x)
|
||||
q = self._reshape_chs(q, (self.num_heads, -1))
|
||||
kv = self._linear(self.to_kv, context)
|
||||
kv = self._fused_pre(kv, num_fused=2)
|
||||
if self.qk_rms_norm:
|
||||
q = self.q_rms_norm(q)
|
||||
k, v = kv.unbind(dim=1)
|
||||
k = self.k_rms_norm(k)
|
||||
kv = kv.replace(torch.stack([k.feats, v.feats], dim=1))
|
||||
h = sparse_scaled_dot_product_attention(q, kv)
|
||||
h = self._reshape_chs(h, (-1,))
|
||||
h = self._linear(self.to_out, h)
|
||||
return h
|
||||
@@ -0,0 +1,193 @@
|
||||
from typing import *
|
||||
from enum import Enum
|
||||
import torch
|
||||
import math
|
||||
from .. import SparseTensor
|
||||
from .. import DEBUG, ATTN
|
||||
|
||||
if ATTN == 'xformers':
|
||||
import xformers.ops as xops
|
||||
elif ATTN == 'flash_attn':
|
||||
import flash_attn
|
||||
else:
|
||||
raise ValueError(f"Unknown attention module: {ATTN}")
|
||||
|
||||
|
||||
__all__ = [
|
||||
'sparse_serialized_scaled_dot_product_self_attention',
|
||||
]
|
||||
|
||||
|
||||
class SerializeMode(Enum):
|
||||
Z_ORDER = 0
|
||||
Z_ORDER_TRANSPOSED = 1
|
||||
HILBERT = 2
|
||||
HILBERT_TRANSPOSED = 3
|
||||
|
||||
|
||||
SerializeModes = [
|
||||
SerializeMode.Z_ORDER,
|
||||
SerializeMode.Z_ORDER_TRANSPOSED,
|
||||
SerializeMode.HILBERT,
|
||||
SerializeMode.HILBERT_TRANSPOSED
|
||||
]
|
||||
|
||||
|
||||
def calc_serialization(
|
||||
tensor: SparseTensor,
|
||||
window_size: int,
|
||||
serialize_mode: SerializeMode = SerializeMode.Z_ORDER,
|
||||
shift_sequence: int = 0,
|
||||
shift_window: Tuple[int, int, int] = (0, 0, 0)
|
||||
) -> Tuple[torch.Tensor, torch.Tensor, List[int]]:
|
||||
"""
|
||||
Calculate serialization and partitioning for a set of coordinates.
|
||||
|
||||
Args:
|
||||
tensor (SparseTensor): The input tensor.
|
||||
window_size (int): The window size to use.
|
||||
serialize_mode (SerializeMode): The serialization mode to use.
|
||||
shift_sequence (int): The shift of serialized sequence.
|
||||
shift_window (Tuple[int, int, int]): The shift of serialized coordinates.
|
||||
|
||||
Returns:
|
||||
(torch.Tensor, torch.Tensor): Forwards and backwards indices.
|
||||
"""
|
||||
fwd_indices = []
|
||||
bwd_indices = []
|
||||
seq_lens = []
|
||||
seq_batch_indices = []
|
||||
offsets = [0]
|
||||
|
||||
if 'vox2seq' not in globals():
|
||||
import vox2seq
|
||||
|
||||
# Serialize the input
|
||||
serialize_coords = tensor.coords[:, 1:].clone()
|
||||
serialize_coords += torch.tensor(shift_window, dtype=torch.int32, device=tensor.device).reshape(1, 3)
|
||||
if serialize_mode == SerializeMode.Z_ORDER:
|
||||
code = vox2seq.encode(serialize_coords, mode='z_order', permute=[0, 1, 2])
|
||||
elif serialize_mode == SerializeMode.Z_ORDER_TRANSPOSED:
|
||||
code = vox2seq.encode(serialize_coords, mode='z_order', permute=[1, 0, 2])
|
||||
elif serialize_mode == SerializeMode.HILBERT:
|
||||
code = vox2seq.encode(serialize_coords, mode='hilbert', permute=[0, 1, 2])
|
||||
elif serialize_mode == SerializeMode.HILBERT_TRANSPOSED:
|
||||
code = vox2seq.encode(serialize_coords, mode='hilbert', permute=[1, 0, 2])
|
||||
else:
|
||||
raise ValueError(f"Unknown serialize mode: {serialize_mode}")
|
||||
|
||||
for bi, s in enumerate(tensor.layout):
|
||||
num_points = s.stop - s.start
|
||||
num_windows = (num_points + window_size - 1) // window_size
|
||||
valid_window_size = num_points / num_windows
|
||||
to_ordered = torch.argsort(code[s.start:s.stop])
|
||||
if num_windows == 1:
|
||||
fwd_indices.append(to_ordered)
|
||||
bwd_indices.append(torch.zeros_like(to_ordered).scatter_(0, to_ordered, torch.arange(num_points, device=tensor.device)))
|
||||
fwd_indices[-1] += s.start
|
||||
bwd_indices[-1] += offsets[-1]
|
||||
seq_lens.append(num_points)
|
||||
seq_batch_indices.append(bi)
|
||||
offsets.append(offsets[-1] + seq_lens[-1])
|
||||
else:
|
||||
# Partition the input
|
||||
offset = 0
|
||||
mids = [(i + 0.5) * valid_window_size + shift_sequence for i in range(num_windows)]
|
||||
split = [math.floor(i * valid_window_size + shift_sequence) for i in range(num_windows + 1)]
|
||||
bwd_index = torch.zeros((num_points,), dtype=torch.int64, device=tensor.device)
|
||||
for i in range(num_windows):
|
||||
mid = mids[i]
|
||||
valid_start = split[i]
|
||||
valid_end = split[i + 1]
|
||||
padded_start = math.floor(mid - 0.5 * window_size)
|
||||
padded_end = padded_start + window_size
|
||||
fwd_indices.append(to_ordered[torch.arange(padded_start, padded_end, device=tensor.device) % num_points])
|
||||
offset += valid_start - padded_start
|
||||
bwd_index.scatter_(0, fwd_indices[-1][valid_start-padded_start:valid_end-padded_start], torch.arange(offset, offset + valid_end - valid_start, device=tensor.device))
|
||||
offset += padded_end - valid_start
|
||||
fwd_indices[-1] += s.start
|
||||
seq_lens.extend([window_size] * num_windows)
|
||||
seq_batch_indices.extend([bi] * num_windows)
|
||||
bwd_indices.append(bwd_index + offsets[-1])
|
||||
offsets.append(offsets[-1] + num_windows * window_size)
|
||||
|
||||
fwd_indices = torch.cat(fwd_indices)
|
||||
bwd_indices = torch.cat(bwd_indices)
|
||||
|
||||
return fwd_indices, bwd_indices, seq_lens, seq_batch_indices
|
||||
|
||||
|
||||
def sparse_serialized_scaled_dot_product_self_attention(
|
||||
qkv: SparseTensor,
|
||||
window_size: int,
|
||||
serialize_mode: SerializeMode = SerializeMode.Z_ORDER,
|
||||
shift_sequence: int = 0,
|
||||
shift_window: Tuple[int, int, int] = (0, 0, 0)
|
||||
) -> SparseTensor:
|
||||
"""
|
||||
Apply serialized scaled dot product self attention to a sparse tensor.
|
||||
|
||||
Args:
|
||||
qkv (SparseTensor): [N, *, 3, H, C] sparse tensor containing Qs, Ks, and Vs.
|
||||
window_size (int): The window size to use.
|
||||
serialize_mode (SerializeMode): The serialization mode to use.
|
||||
shift_sequence (int): The shift of serialized sequence.
|
||||
shift_window (Tuple[int, int, int]): The shift of serialized coordinates.
|
||||
shift (int): The shift to use.
|
||||
"""
|
||||
assert len(qkv.shape) == 4 and qkv.shape[1] == 3, f"Invalid shape for qkv, got {qkv.shape}, expected [N, *, 3, H, C]"
|
||||
|
||||
serialization_spatial_cache_name = f'serialization_{serialize_mode}_{window_size}_{shift_sequence}_{shift_window}'
|
||||
serialization_spatial_cache = qkv.get_spatial_cache(serialization_spatial_cache_name)
|
||||
if serialization_spatial_cache is None:
|
||||
fwd_indices, bwd_indices, seq_lens, seq_batch_indices = calc_serialization(qkv, window_size, serialize_mode, shift_sequence, shift_window)
|
||||
qkv.register_spatial_cache(serialization_spatial_cache_name, (fwd_indices, bwd_indices, seq_lens, seq_batch_indices))
|
||||
else:
|
||||
fwd_indices, bwd_indices, seq_lens, seq_batch_indices = serialization_spatial_cache
|
||||
|
||||
M = fwd_indices.shape[0]
|
||||
T = qkv.feats.shape[0]
|
||||
H = qkv.feats.shape[2]
|
||||
C = qkv.feats.shape[3]
|
||||
|
||||
qkv_feats = qkv.feats[fwd_indices] # [M, 3, H, C]
|
||||
|
||||
if DEBUG:
|
||||
start = 0
|
||||
qkv_coords = qkv.coords[fwd_indices]
|
||||
for i in range(len(seq_lens)):
|
||||
assert (qkv_coords[start:start+seq_lens[i], 0] == seq_batch_indices[i]).all(), f"SparseWindowedScaledDotProductSelfAttention: batch index mismatch"
|
||||
start += seq_lens[i]
|
||||
|
||||
if all([seq_len == window_size for seq_len in seq_lens]):
|
||||
B = len(seq_lens)
|
||||
N = window_size
|
||||
qkv_feats = qkv_feats.reshape(B, N, 3, H, C)
|
||||
if ATTN == 'xformers':
|
||||
q, k, v = qkv_feats.unbind(dim=2) # [B, N, H, C]
|
||||
out = xops.memory_efficient_attention(q, k, v) # [B, N, H, C]
|
||||
elif ATTN == 'flash_attn':
|
||||
out = flash_attn.flash_attn_qkvpacked_func(qkv_feats) # [B, N, H, C]
|
||||
else:
|
||||
raise ValueError(f"Unknown attention module: {ATTN}")
|
||||
out = out.reshape(B * N, H, C) # [M, H, C]
|
||||
else:
|
||||
if ATTN == 'xformers':
|
||||
q, k, v = qkv_feats.unbind(dim=1) # [M, H, C]
|
||||
q = q.unsqueeze(0) # [1, M, H, C]
|
||||
k = k.unsqueeze(0) # [1, M, H, C]
|
||||
v = v.unsqueeze(0) # [1, M, H, C]
|
||||
mask = xops.fmha.BlockDiagonalMask.from_seqlens(seq_lens)
|
||||
out = xops.memory_efficient_attention(q, k, v, mask)[0] # [M, H, C]
|
||||
elif ATTN == 'flash_attn':
|
||||
cu_seqlens = torch.cat([torch.tensor([0]), torch.cumsum(torch.tensor(seq_lens), dim=0)], dim=0) \
|
||||
.to(qkv.device).int()
|
||||
out = flash_attn.flash_attn_varlen_qkvpacked_func(qkv_feats, cu_seqlens, max(seq_lens)) # [M, H, C]
|
||||
|
||||
out = out[bwd_indices] # [T, H, C]
|
||||
|
||||
if DEBUG:
|
||||
qkv_coords = qkv_coords[bwd_indices]
|
||||
assert torch.equal(qkv_coords, qkv.coords), "SparseWindowedScaledDotProductSelfAttention: coordinate mismatch"
|
||||
|
||||
return qkv.replace(out)
|
||||
@@ -0,0 +1,135 @@
|
||||
from typing import *
|
||||
import torch
|
||||
import math
|
||||
from .. import SparseTensor
|
||||
from .. import DEBUG, ATTN
|
||||
|
||||
if ATTN == 'xformers':
|
||||
import xformers.ops as xops
|
||||
elif ATTN == 'flash_attn':
|
||||
import flash_attn
|
||||
else:
|
||||
raise ValueError(f"Unknown attention module: {ATTN}")
|
||||
|
||||
|
||||
__all__ = [
|
||||
'sparse_windowed_scaled_dot_product_self_attention',
|
||||
]
|
||||
|
||||
|
||||
def calc_window_partition(
|
||||
tensor: SparseTensor,
|
||||
window_size: Union[int, Tuple[int, ...]],
|
||||
shift_window: Union[int, Tuple[int, ...]] = 0
|
||||
) -> Tuple[torch.Tensor, torch.Tensor, List[int], List[int]]:
|
||||
"""
|
||||
Calculate serialization and partitioning for a set of coordinates.
|
||||
|
||||
Args:
|
||||
tensor (SparseTensor): The input tensor.
|
||||
window_size (int): The window size to use.
|
||||
shift_window (Tuple[int, ...]): The shift of serialized coordinates.
|
||||
|
||||
Returns:
|
||||
(torch.Tensor): Forwards indices.
|
||||
(torch.Tensor): Backwards indices.
|
||||
(List[int]): Sequence lengths.
|
||||
(List[int]): Sequence batch indices.
|
||||
"""
|
||||
DIM = tensor.coords.shape[1] - 1
|
||||
shift_window = (shift_window,) * DIM if isinstance(shift_window, int) else shift_window
|
||||
window_size = (window_size,) * DIM if isinstance(window_size, int) else window_size
|
||||
shifted_coords = tensor.coords.clone().detach()
|
||||
shifted_coords[:, 1:] += torch.tensor(shift_window, device=tensor.device, dtype=torch.int32).unsqueeze(0)
|
||||
|
||||
MAX_COORDS = shifted_coords[:, 1:].max(dim=0).values.tolist()
|
||||
NUM_WINDOWS = [math.ceil((mc + 1) / ws) for mc, ws in zip(MAX_COORDS, window_size)]
|
||||
OFFSET = torch.cumprod(torch.tensor([1] + NUM_WINDOWS[::-1]), dim=0).tolist()[::-1]
|
||||
|
||||
shifted_coords[:, 1:] //= torch.tensor(window_size, device=tensor.device, dtype=torch.int32).unsqueeze(0)
|
||||
shifted_indices = (shifted_coords * torch.tensor(OFFSET, device=tensor.device, dtype=torch.int32).unsqueeze(0)).sum(dim=1)
|
||||
fwd_indices = torch.argsort(shifted_indices)
|
||||
bwd_indices = torch.empty_like(fwd_indices)
|
||||
bwd_indices[fwd_indices] = torch.arange(fwd_indices.shape[0], device=tensor.device)
|
||||
seq_lens = torch.bincount(shifted_indices)
|
||||
seq_batch_indices = torch.arange(seq_lens.shape[0], device=tensor.device, dtype=torch.int32) // OFFSET[0]
|
||||
mask = seq_lens != 0
|
||||
seq_lens = seq_lens[mask].tolist()
|
||||
seq_batch_indices = seq_batch_indices[mask].tolist()
|
||||
|
||||
return fwd_indices, bwd_indices, seq_lens, seq_batch_indices
|
||||
|
||||
|
||||
def sparse_windowed_scaled_dot_product_self_attention(
|
||||
qkv: SparseTensor,
|
||||
window_size: int,
|
||||
shift_window: Tuple[int, int, int] = (0, 0, 0)
|
||||
) -> SparseTensor:
|
||||
"""
|
||||
Apply windowed scaled dot product self attention to a sparse tensor.
|
||||
|
||||
Args:
|
||||
qkv (SparseTensor): [N, *, 3, H, C] sparse tensor containing Qs, Ks, and Vs.
|
||||
window_size (int): The window size to use.
|
||||
shift_window (Tuple[int, int, int]): The shift of serialized coordinates.
|
||||
shift (int): The shift to use.
|
||||
"""
|
||||
assert len(qkv.shape) == 4 and qkv.shape[1] == 3, f"Invalid shape for qkv, got {qkv.shape}, expected [N, *, 3, H, C]"
|
||||
|
||||
serialization_spatial_cache_name = f'window_partition_{window_size}_{shift_window}'
|
||||
serialization_spatial_cache = qkv.get_spatial_cache(serialization_spatial_cache_name)
|
||||
if serialization_spatial_cache is None:
|
||||
fwd_indices, bwd_indices, seq_lens, seq_batch_indices = calc_window_partition(qkv, window_size, shift_window)
|
||||
qkv.register_spatial_cache(serialization_spatial_cache_name, (fwd_indices, bwd_indices, seq_lens, seq_batch_indices))
|
||||
else:
|
||||
fwd_indices, bwd_indices, seq_lens, seq_batch_indices = serialization_spatial_cache
|
||||
|
||||
M = fwd_indices.shape[0]
|
||||
T = qkv.feats.shape[0]
|
||||
H = qkv.feats.shape[2]
|
||||
C = qkv.feats.shape[3]
|
||||
|
||||
qkv_feats = qkv.feats[fwd_indices] # [M, 3, H, C]
|
||||
|
||||
if DEBUG:
|
||||
start = 0
|
||||
qkv_coords = qkv.coords[fwd_indices]
|
||||
for i in range(len(seq_lens)):
|
||||
seq_coords = qkv_coords[start:start+seq_lens[i]]
|
||||
assert (seq_coords[:, 0] == seq_batch_indices[i]).all(), f"SparseWindowedScaledDotProductSelfAttention: batch index mismatch"
|
||||
assert (seq_coords[:, 1:].max(dim=0).values - seq_coords[:, 1:].min(dim=0).values < window_size).all(), \
|
||||
f"SparseWindowedScaledDotProductSelfAttention: window size exceeded"
|
||||
start += seq_lens[i]
|
||||
|
||||
if all([seq_len == window_size for seq_len in seq_lens]):
|
||||
B = len(seq_lens)
|
||||
N = window_size
|
||||
qkv_feats = qkv_feats.reshape(B, N, 3, H, C)
|
||||
if ATTN == 'xformers':
|
||||
q, k, v = qkv_feats.unbind(dim=2) # [B, N, H, C]
|
||||
out = xops.memory_efficient_attention(q, k, v) # [B, N, H, C]
|
||||
elif ATTN == 'flash_attn':
|
||||
out = flash_attn.flash_attn_qkvpacked_func(qkv_feats) # [B, N, H, C]
|
||||
else:
|
||||
raise ValueError(f"Unknown attention module: {ATTN}")
|
||||
out = out.reshape(B * N, H, C) # [M, H, C]
|
||||
else:
|
||||
if ATTN == 'xformers':
|
||||
q, k, v = qkv_feats.unbind(dim=1) # [M, H, C]
|
||||
q = q.unsqueeze(0) # [1, M, H, C]
|
||||
k = k.unsqueeze(0) # [1, M, H, C]
|
||||
v = v.unsqueeze(0) # [1, M, H, C]
|
||||
mask = xops.fmha.BlockDiagonalMask.from_seqlens(seq_lens)
|
||||
out = xops.memory_efficient_attention(q, k, v, mask)[0] # [M, H, C]
|
||||
elif ATTN == 'flash_attn':
|
||||
cu_seqlens = torch.cat([torch.tensor([0]), torch.cumsum(torch.tensor(seq_lens), dim=0)], dim=0) \
|
||||
.to(qkv.device).int()
|
||||
out = flash_attn.flash_attn_varlen_qkvpacked_func(qkv_feats, cu_seqlens, max(seq_lens)) # [M, H, C]
|
||||
|
||||
out = out[bwd_indices] # [T, H, C]
|
||||
|
||||
if DEBUG:
|
||||
qkv_coords = qkv_coords[bwd_indices]
|
||||
assert torch.equal(qkv_coords, qkv.coords), "SparseWindowedScaledDotProductSelfAttention: coordinate mismatch"
|
||||
|
||||
return qkv.replace(out)
|
||||
@@ -0,0 +1,459 @@
|
||||
from typing import *
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
from . import BACKEND, DEBUG
|
||||
SparseTensorData = None # Lazy import
|
||||
|
||||
|
||||
__all__ = [
|
||||
'SparseTensor',
|
||||
'sparse_batch_broadcast',
|
||||
'sparse_batch_op',
|
||||
'sparse_cat',
|
||||
'sparse_unbind',
|
||||
]
|
||||
|
||||
|
||||
class SparseTensor:
|
||||
"""
|
||||
Sparse tensor with support for both torchsparse and spconv backends.
|
||||
|
||||
Parameters:
|
||||
- feats (torch.Tensor): Features of the sparse tensor.
|
||||
- coords (torch.Tensor): Coordinates of the sparse tensor.
|
||||
- shape (torch.Size): Shape of the sparse tensor.
|
||||
- layout (List[slice]): Layout of the sparse tensor for each batch
|
||||
- data (SparseTensorData): Sparse tensor data used for convolusion
|
||||
|
||||
NOTE:
|
||||
- Data corresponding to a same batch should be contiguous.
|
||||
- Coords should be in [0, 1023]
|
||||
"""
|
||||
@overload
|
||||
def __init__(self, feats: torch.Tensor, coords: torch.Tensor, shape: Optional[torch.Size] = None, layout: Optional[List[slice]] = None, **kwargs): ...
|
||||
|
||||
@overload
|
||||
def __init__(self, data, shape: Optional[torch.Size] = None, layout: Optional[List[slice]] = None, **kwargs): ...
|
||||
|
||||
def __init__(self, *args, **kwargs):
|
||||
# Lazy import of sparse tensor backend
|
||||
global SparseTensorData
|
||||
if SparseTensorData is None:
|
||||
import importlib
|
||||
if BACKEND == 'torchsparse':
|
||||
SparseTensorData = importlib.import_module('torchsparse').SparseTensor
|
||||
elif BACKEND == 'spconv':
|
||||
SparseTensorData = importlib.import_module('spconv.pytorch').SparseConvTensor
|
||||
|
||||
method_id = 0
|
||||
if len(args) != 0:
|
||||
method_id = 0 if isinstance(args[0], torch.Tensor) else 1
|
||||
else:
|
||||
method_id = 1 if 'data' in kwargs else 0
|
||||
|
||||
if method_id == 0:
|
||||
feats, coords, shape, layout = args + (None,) * (4 - len(args))
|
||||
if 'feats' in kwargs:
|
||||
feats = kwargs['feats']
|
||||
del kwargs['feats']
|
||||
if 'coords' in kwargs:
|
||||
coords = kwargs['coords']
|
||||
del kwargs['coords']
|
||||
if 'shape' in kwargs:
|
||||
shape = kwargs['shape']
|
||||
del kwargs['shape']
|
||||
if 'layout' in kwargs:
|
||||
layout = kwargs['layout']
|
||||
del kwargs['layout']
|
||||
|
||||
if shape is None:
|
||||
shape = self.__cal_shape(feats, coords)
|
||||
if layout is None:
|
||||
layout = self.__cal_layout(coords, shape[0])
|
||||
if BACKEND == 'torchsparse':
|
||||
self.data = SparseTensorData(feats, coords, **kwargs)
|
||||
elif BACKEND == 'spconv':
|
||||
spatial_shape = list(coords.max(0)[0] + 1)[1:]
|
||||
self.data = SparseTensorData(feats.reshape(feats.shape[0], -1), coords, spatial_shape, shape[0], **kwargs)
|
||||
self.data._features = feats
|
||||
elif method_id == 1:
|
||||
data, shape, layout = args + (None,) * (3 - len(args))
|
||||
if 'data' in kwargs:
|
||||
data = kwargs['data']
|
||||
del kwargs['data']
|
||||
if 'shape' in kwargs:
|
||||
shape = kwargs['shape']
|
||||
del kwargs['shape']
|
||||
if 'layout' in kwargs:
|
||||
layout = kwargs['layout']
|
||||
del kwargs['layout']
|
||||
|
||||
self.data = data
|
||||
if shape is None:
|
||||
shape = self.__cal_shape(self.feats, self.coords)
|
||||
if layout is None:
|
||||
layout = self.__cal_layout(self.coords, shape[0])
|
||||
|
||||
self._shape = shape
|
||||
self._layout = layout
|
||||
self._scale = kwargs.get('scale', (1, 1, 1))
|
||||
self._spatial_cache = kwargs.get('spatial_cache', {})
|
||||
|
||||
if DEBUG:
|
||||
try:
|
||||
assert self.feats.shape[0] == self.coords.shape[0], f"Invalid feats shape: {self.feats.shape}, coords shape: {self.coords.shape}"
|
||||
assert self.shape == self.__cal_shape(self.feats, self.coords), f"Invalid shape: {self.shape}"
|
||||
assert self.layout == self.__cal_layout(self.coords, self.shape[0]), f"Invalid layout: {self.layout}"
|
||||
for i in range(self.shape[0]):
|
||||
assert torch.all(self.coords[self.layout[i], 0] == i), f"The data of batch {i} is not contiguous"
|
||||
except Exception as e:
|
||||
print('Debugging information:')
|
||||
print(f"- Shape: {self.shape}")
|
||||
print(f"- Layout: {self.layout}")
|
||||
print(f"- Scale: {self._scale}")
|
||||
print(f"- Coords: {self.coords}")
|
||||
raise e
|
||||
|
||||
def __cal_shape(self, feats, coords):
|
||||
shape = []
|
||||
shape.append(coords[:, 0].max().item() + 1)
|
||||
shape.extend([*feats.shape[1:]])
|
||||
return torch.Size(shape)
|
||||
|
||||
def __cal_layout(self, coords, batch_size):
|
||||
seq_len = torch.bincount(coords[:, 0], minlength=batch_size)
|
||||
offset = torch.cumsum(seq_len, dim=0)
|
||||
layout = [slice((offset[i] - seq_len[i]).item(), offset[i].item()) for i in range(batch_size)]
|
||||
return layout
|
||||
|
||||
@property
|
||||
def shape(self) -> torch.Size:
|
||||
return self._shape
|
||||
|
||||
def dim(self) -> int:
|
||||
return len(self.shape)
|
||||
|
||||
@property
|
||||
def layout(self) -> List[slice]:
|
||||
return self._layout
|
||||
|
||||
@property
|
||||
def feats(self) -> torch.Tensor:
|
||||
if BACKEND == 'torchsparse':
|
||||
return self.data.F
|
||||
elif BACKEND == 'spconv':
|
||||
return self.data.features
|
||||
|
||||
@feats.setter
|
||||
def feats(self, value: torch.Tensor):
|
||||
if BACKEND == 'torchsparse':
|
||||
self.data.F = value
|
||||
elif BACKEND == 'spconv':
|
||||
self.data.features = value
|
||||
|
||||
@property
|
||||
def coords(self) -> torch.Tensor:
|
||||
if BACKEND == 'torchsparse':
|
||||
return self.data.C
|
||||
elif BACKEND == 'spconv':
|
||||
return self.data.indices
|
||||
|
||||
@coords.setter
|
||||
def coords(self, value: torch.Tensor):
|
||||
if BACKEND == 'torchsparse':
|
||||
self.data.C = value
|
||||
elif BACKEND == 'spconv':
|
||||
self.data.indices = value
|
||||
|
||||
@property
|
||||
def dtype(self):
|
||||
return self.feats.dtype
|
||||
|
||||
@property
|
||||
def device(self):
|
||||
return self.feats.device
|
||||
|
||||
@overload
|
||||
def to(self, dtype: torch.dtype) -> 'SparseTensor': ...
|
||||
|
||||
@overload
|
||||
def to(self, device: Optional[Union[str, torch.device]] = None, dtype: Optional[torch.dtype] = None) -> 'SparseTensor': ...
|
||||
|
||||
def to(self, *args, **kwargs) -> 'SparseTensor':
|
||||
device = None
|
||||
dtype = None
|
||||
if len(args) == 2:
|
||||
device, dtype = args
|
||||
elif len(args) == 1:
|
||||
if isinstance(args[0], torch.dtype):
|
||||
dtype = args[0]
|
||||
else:
|
||||
device = args[0]
|
||||
if 'dtype' in kwargs:
|
||||
assert dtype is None, "to() received multiple values for argument 'dtype'"
|
||||
dtype = kwargs['dtype']
|
||||
if 'device' in kwargs:
|
||||
assert device is None, "to() received multiple values for argument 'device'"
|
||||
device = kwargs['device']
|
||||
|
||||
new_feats = self.feats.to(device=device, dtype=dtype)
|
||||
new_coords = self.coords.to(device=device)
|
||||
return self.replace(new_feats, new_coords)
|
||||
|
||||
def type(self, dtype):
|
||||
new_feats = self.feats.type(dtype)
|
||||
return self.replace(new_feats)
|
||||
|
||||
def cpu(self) -> 'SparseTensor':
|
||||
new_feats = self.feats.cpu()
|
||||
new_coords = self.coords.cpu()
|
||||
return self.replace(new_feats, new_coords)
|
||||
|
||||
def cuda(self) -> 'SparseTensor':
|
||||
new_feats = self.feats.cuda()
|
||||
new_coords = self.coords.cuda()
|
||||
return self.replace(new_feats, new_coords)
|
||||
|
||||
def half(self) -> 'SparseTensor':
|
||||
new_feats = self.feats.half()
|
||||
return self.replace(new_feats)
|
||||
|
||||
def float(self) -> 'SparseTensor':
|
||||
new_feats = self.feats.float()
|
||||
return self.replace(new_feats)
|
||||
|
||||
def detach(self) -> 'SparseTensor':
|
||||
new_coords = self.coords.detach()
|
||||
new_feats = self.feats.detach()
|
||||
return self.replace(new_feats, new_coords)
|
||||
|
||||
def dense(self) -> torch.Tensor:
|
||||
if BACKEND == 'torchsparse':
|
||||
return self.data.dense()
|
||||
elif BACKEND == 'spconv':
|
||||
return self.data.dense()
|
||||
|
||||
def reshape(self, *shape) -> 'SparseTensor':
|
||||
new_feats = self.feats.reshape(self.feats.shape[0], *shape)
|
||||
return self.replace(new_feats)
|
||||
|
||||
def unbind(self, dim: int) -> List['SparseTensor']:
|
||||
return sparse_unbind(self, dim)
|
||||
|
||||
def replace(self, feats: torch.Tensor, coords: Optional[torch.Tensor] = None) -> 'SparseTensor':
|
||||
new_shape = [self.shape[0]]
|
||||
new_shape.extend(feats.shape[1:])
|
||||
if BACKEND == 'torchsparse':
|
||||
new_data = SparseTensorData(
|
||||
feats=feats,
|
||||
coords=self.data.coords if coords is None else coords,
|
||||
stride=self.data.stride,
|
||||
spatial_range=self.data.spatial_range,
|
||||
)
|
||||
new_data._caches = self.data._caches
|
||||
elif BACKEND == 'spconv':
|
||||
new_data = SparseTensorData(
|
||||
self.data.features.reshape(self.data.features.shape[0], -1),
|
||||
self.data.indices,
|
||||
self.data.spatial_shape,
|
||||
self.data.batch_size,
|
||||
self.data.grid,
|
||||
self.data.voxel_num,
|
||||
self.data.indice_dict
|
||||
)
|
||||
new_data._features = feats
|
||||
new_data.benchmark = self.data.benchmark
|
||||
new_data.benchmark_record = self.data.benchmark_record
|
||||
new_data.thrust_allocator = self.data.thrust_allocator
|
||||
new_data._timer = self.data._timer
|
||||
new_data.force_algo = self.data.force_algo
|
||||
new_data.int8_scale = self.data.int8_scale
|
||||
if coords is not None:
|
||||
new_data.indices = coords
|
||||
new_tensor = SparseTensor(new_data, shape=torch.Size(new_shape), layout=self.layout, scale=self._scale, spatial_cache=self._spatial_cache)
|
||||
return new_tensor
|
||||
|
||||
@staticmethod
|
||||
def full(aabb, dim, value, dtype=torch.float32, device=None) -> 'SparseTensor':
|
||||
N, C = dim
|
||||
x = torch.arange(aabb[0], aabb[3] + 1)
|
||||
y = torch.arange(aabb[1], aabb[4] + 1)
|
||||
z = torch.arange(aabb[2], aabb[5] + 1)
|
||||
coords = torch.stack(torch.meshgrid(x, y, z, indexing='ij'), dim=-1).reshape(-1, 3)
|
||||
coords = torch.cat([
|
||||
torch.arange(N).view(-1, 1).repeat(1, coords.shape[0]).view(-1, 1),
|
||||
coords.repeat(N, 1),
|
||||
], dim=1).to(dtype=torch.int32, device=device)
|
||||
feats = torch.full((coords.shape[0], C), value, dtype=dtype, device=device)
|
||||
return SparseTensor(feats=feats, coords=coords)
|
||||
|
||||
def __merge_sparse_cache(self, other: 'SparseTensor') -> dict:
|
||||
new_cache = {}
|
||||
for k in set(list(self._spatial_cache.keys()) + list(other._spatial_cache.keys())):
|
||||
if k in self._spatial_cache:
|
||||
new_cache[k] = self._spatial_cache[k]
|
||||
if k in other._spatial_cache:
|
||||
if k not in new_cache:
|
||||
new_cache[k] = other._spatial_cache[k]
|
||||
else:
|
||||
new_cache[k].update(other._spatial_cache[k])
|
||||
return new_cache
|
||||
|
||||
def __neg__(self) -> 'SparseTensor':
|
||||
return self.replace(-self.feats)
|
||||
|
||||
def __elemwise__(self, other: Union[torch.Tensor, 'SparseTensor'], op: callable) -> 'SparseTensor':
|
||||
if isinstance(other, torch.Tensor):
|
||||
try:
|
||||
other = torch.broadcast_to(other, self.shape)
|
||||
other = sparse_batch_broadcast(self, other)
|
||||
except:
|
||||
pass
|
||||
if isinstance(other, SparseTensor):
|
||||
other = other.feats
|
||||
new_feats = op(self.feats, other)
|
||||
new_tensor = self.replace(new_feats)
|
||||
if isinstance(other, SparseTensor):
|
||||
new_tensor._spatial_cache = self.__merge_sparse_cache(other)
|
||||
return new_tensor
|
||||
|
||||
def __add__(self, other: Union[torch.Tensor, 'SparseTensor', float]) -> 'SparseTensor':
|
||||
return self.__elemwise__(other, torch.add)
|
||||
|
||||
def __radd__(self, other: Union[torch.Tensor, 'SparseTensor', float]) -> 'SparseTensor':
|
||||
return self.__elemwise__(other, torch.add)
|
||||
|
||||
def __sub__(self, other: Union[torch.Tensor, 'SparseTensor', float]) -> 'SparseTensor':
|
||||
return self.__elemwise__(other, torch.sub)
|
||||
|
||||
def __rsub__(self, other: Union[torch.Tensor, 'SparseTensor', float]) -> 'SparseTensor':
|
||||
return self.__elemwise__(other, lambda x, y: torch.sub(y, x))
|
||||
|
||||
def __mul__(self, other: Union[torch.Tensor, 'SparseTensor', float]) -> 'SparseTensor':
|
||||
return self.__elemwise__(other, torch.mul)
|
||||
|
||||
def __rmul__(self, other: Union[torch.Tensor, 'SparseTensor', float]) -> 'SparseTensor':
|
||||
return self.__elemwise__(other, torch.mul)
|
||||
|
||||
def __truediv__(self, other: Union[torch.Tensor, 'SparseTensor', float]) -> 'SparseTensor':
|
||||
return self.__elemwise__(other, torch.div)
|
||||
|
||||
def __rtruediv__(self, other: Union[torch.Tensor, 'SparseTensor', float]) -> 'SparseTensor':
|
||||
return self.__elemwise__(other, lambda x, y: torch.div(y, x))
|
||||
|
||||
def __getitem__(self, idx):
|
||||
if isinstance(idx, int):
|
||||
idx = [idx]
|
||||
elif isinstance(idx, slice):
|
||||
idx = range(*idx.indices(self.shape[0]))
|
||||
elif isinstance(idx, torch.Tensor):
|
||||
if idx.dtype == torch.bool:
|
||||
assert idx.shape == (self.shape[0],), f"Invalid index shape: {idx.shape}"
|
||||
idx = idx.nonzero().squeeze(1)
|
||||
elif idx.dtype in [torch.int32, torch.int64]:
|
||||
assert len(idx.shape) == 1, f"Invalid index shape: {idx.shape}"
|
||||
else:
|
||||
raise ValueError(f"Unknown index type: {idx.dtype}")
|
||||
else:
|
||||
raise ValueError(f"Unknown index type: {type(idx)}")
|
||||
|
||||
coords = []
|
||||
feats = []
|
||||
for new_idx, old_idx in enumerate(idx):
|
||||
coords.append(self.coords[self.layout[old_idx]].clone())
|
||||
coords[-1][:, 0] = new_idx
|
||||
feats.append(self.feats[self.layout[old_idx]])
|
||||
coords = torch.cat(coords, dim=0).contiguous()
|
||||
feats = torch.cat(feats, dim=0).contiguous()
|
||||
return SparseTensor(feats=feats, coords=coords)
|
||||
|
||||
def register_spatial_cache(self, key, value) -> None:
|
||||
"""
|
||||
Register a spatial cache.
|
||||
The spatial cache can be any thing you want to cache.
|
||||
The registery and retrieval of the cache is based on current scale.
|
||||
"""
|
||||
scale_key = str(self._scale)
|
||||
if scale_key not in self._spatial_cache:
|
||||
self._spatial_cache[scale_key] = {}
|
||||
self._spatial_cache[scale_key][key] = value
|
||||
|
||||
def get_spatial_cache(self, key=None):
|
||||
"""
|
||||
Get a spatial cache.
|
||||
"""
|
||||
scale_key = str(self._scale)
|
||||
cur_scale_cache = self._spatial_cache.get(scale_key, {})
|
||||
if key is None:
|
||||
return cur_scale_cache
|
||||
return cur_scale_cache.get(key, None)
|
||||
|
||||
|
||||
def sparse_batch_broadcast(input: SparseTensor, other: torch.Tensor) -> torch.Tensor:
|
||||
"""
|
||||
Broadcast a 1D tensor to a sparse tensor along the batch dimension then perform an operation.
|
||||
|
||||
Args:
|
||||
input (torch.Tensor): 1D tensor to broadcast.
|
||||
target (SparseTensor): Sparse tensor to broadcast to.
|
||||
op (callable): Operation to perform after broadcasting. Defaults to torch.add.
|
||||
"""
|
||||
coords, feats = input.coords, input.feats
|
||||
broadcasted = torch.zeros_like(feats)
|
||||
for k in range(input.shape[0]):
|
||||
broadcasted[input.layout[k]] = other[k]
|
||||
return broadcasted
|
||||
|
||||
|
||||
def sparse_batch_op(input: SparseTensor, other: torch.Tensor, op: callable = torch.add) -> SparseTensor:
|
||||
"""
|
||||
Broadcast a 1D tensor to a sparse tensor along the batch dimension then perform an operation.
|
||||
|
||||
Args:
|
||||
input (torch.Tensor): 1D tensor to broadcast.
|
||||
target (SparseTensor): Sparse tensor to broadcast to.
|
||||
op (callable): Operation to perform after broadcasting. Defaults to torch.add.
|
||||
"""
|
||||
return input.replace(op(input.feats, sparse_batch_broadcast(input, other)))
|
||||
|
||||
|
||||
def sparse_cat(inputs: List[SparseTensor], dim: int = 0) -> SparseTensor:
|
||||
"""
|
||||
Concatenate a list of sparse tensors.
|
||||
|
||||
Args:
|
||||
inputs (List[SparseTensor]): List of sparse tensors to concatenate.
|
||||
"""
|
||||
if dim == 0:
|
||||
start = 0
|
||||
coords = []
|
||||
for input in inputs:
|
||||
coords.append(input.coords.clone())
|
||||
coords[-1][:, 0] += start
|
||||
start += input.shape[0]
|
||||
coords = torch.cat(coords, dim=0)
|
||||
feats = torch.cat([input.feats for input in inputs], dim=0)
|
||||
output = SparseTensor(
|
||||
coords=coords,
|
||||
feats=feats,
|
||||
)
|
||||
else:
|
||||
feats = torch.cat([input.feats for input in inputs], dim=dim)
|
||||
output = inputs[0].replace(feats)
|
||||
|
||||
return output
|
||||
|
||||
|
||||
def sparse_unbind(input: SparseTensor, dim: int) -> List[SparseTensor]:
|
||||
"""
|
||||
Unbind a sparse tensor along a dimension.
|
||||
|
||||
Args:
|
||||
input (SparseTensor): Sparse tensor to unbind.
|
||||
dim (int): Dimension to unbind.
|
||||
"""
|
||||
if dim == 0:
|
||||
return [input[i] for i in range(input.shape[0])]
|
||||
else:
|
||||
feats = input.feats.unbind(dim)
|
||||
return [input.replace(f) for f in feats]
|
||||
@@ -0,0 +1,21 @@
|
||||
from .. import BACKEND
|
||||
|
||||
|
||||
SPCONV_ALGO = 'auto' # 'auto', 'implicit_gemm', 'native'
|
||||
|
||||
def __from_env():
|
||||
import os
|
||||
|
||||
global SPCONV_ALGO
|
||||
env_spconv_algo = os.environ.get('SPCONV_ALGO')
|
||||
if env_spconv_algo is not None and env_spconv_algo in ['auto', 'implicit_gemm', 'native']:
|
||||
SPCONV_ALGO = env_spconv_algo
|
||||
print(f"[SPARSE][CONV] spconv algo: {SPCONV_ALGO}")
|
||||
|
||||
|
||||
__from_env()
|
||||
|
||||
if BACKEND == 'torchsparse':
|
||||
from .conv_torchsparse import *
|
||||
elif BACKEND == 'spconv':
|
||||
from .conv_spconv import *
|
||||
@@ -0,0 +1,80 @@
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
from .. import SparseTensor
|
||||
from .. import DEBUG
|
||||
from . import SPCONV_ALGO
|
||||
|
||||
class SparseConv3d(nn.Module):
|
||||
def __init__(self, in_channels, out_channels, kernel_size, stride=1, dilation=1, padding=None, bias=True, indice_key=None):
|
||||
super(SparseConv3d, self).__init__()
|
||||
if 'spconv' not in globals():
|
||||
import spconv.pytorch as spconv
|
||||
algo = None
|
||||
if SPCONV_ALGO == 'native':
|
||||
algo = spconv.ConvAlgo.Native
|
||||
elif SPCONV_ALGO == 'implicit_gemm':
|
||||
algo = spconv.ConvAlgo.MaskImplicitGemm
|
||||
if stride == 1 and (padding is None):
|
||||
self.conv = spconv.SubMConv3d(in_channels, out_channels, kernel_size, dilation=dilation, bias=bias, indice_key=indice_key, algo=algo)
|
||||
else:
|
||||
self.conv = spconv.SparseConv3d(in_channels, out_channels, kernel_size, stride=stride, dilation=dilation, padding=padding, bias=bias, indice_key=indice_key, algo=algo)
|
||||
self.stride = tuple(stride) if isinstance(stride, (list, tuple)) else (stride, stride, stride)
|
||||
self.padding = padding
|
||||
|
||||
def forward(self, x: SparseTensor) -> SparseTensor:
|
||||
spatial_changed = any(s != 1 for s in self.stride) or (self.padding is not None)
|
||||
new_data = self.conv(x.data)
|
||||
new_shape = [x.shape[0], self.conv.out_channels]
|
||||
new_layout = None if spatial_changed else x.layout
|
||||
|
||||
if spatial_changed and (x.shape[0] != 1):
|
||||
# spconv was non-1 stride will break the contiguous of the output tensor, sort by the coords
|
||||
fwd = new_data.indices[:, 0].argsort()
|
||||
bwd = torch.zeros_like(fwd).scatter_(0, fwd, torch.arange(fwd.shape[0], device=fwd.device))
|
||||
sorted_feats = new_data.features[fwd]
|
||||
sorted_coords = new_data.indices[fwd]
|
||||
unsorted_data = new_data
|
||||
new_data = spconv.SparseConvTensor(sorted_feats, sorted_coords, unsorted_data.spatial_shape, unsorted_data.batch_size) # type: ignore
|
||||
|
||||
out = SparseTensor(
|
||||
new_data, shape=torch.Size(new_shape), layout=new_layout,
|
||||
scale=tuple([s * stride for s, stride in zip(x._scale, self.stride)]),
|
||||
spatial_cache=x._spatial_cache,
|
||||
)
|
||||
|
||||
if spatial_changed and (x.shape[0] != 1):
|
||||
out.register_spatial_cache(f'conv_{self.stride}_unsorted_data', unsorted_data)
|
||||
out.register_spatial_cache(f'conv_{self.stride}_sort_bwd', bwd)
|
||||
|
||||
return out
|
||||
|
||||
|
||||
class SparseInverseConv3d(nn.Module):
|
||||
def __init__(self, in_channels, out_channels, kernel_size, stride=1, dilation=1, bias=True, indice_key=None):
|
||||
super(SparseInverseConv3d, self).__init__()
|
||||
if 'spconv' not in globals():
|
||||
import spconv.pytorch as spconv
|
||||
self.conv = spconv.SparseInverseConv3d(in_channels, out_channels, kernel_size, bias=bias, indice_key=indice_key)
|
||||
self.stride = tuple(stride) if isinstance(stride, (list, tuple)) else (stride, stride, stride)
|
||||
|
||||
def forward(self, x: SparseTensor) -> SparseTensor:
|
||||
spatial_changed = any(s != 1 for s in self.stride)
|
||||
if spatial_changed:
|
||||
# recover the original spconv order
|
||||
data = x.get_spatial_cache(f'conv_{self.stride}_unsorted_data')
|
||||
bwd = x.get_spatial_cache(f'conv_{self.stride}_sort_bwd')
|
||||
data = data.replace_feature(x.feats[bwd])
|
||||
if DEBUG:
|
||||
assert torch.equal(data.indices, x.coords[bwd]), 'Recover the original order failed'
|
||||
else:
|
||||
data = x.data
|
||||
|
||||
new_data = self.conv(data)
|
||||
new_shape = [x.shape[0], self.conv.out_channels]
|
||||
new_layout = None if spatial_changed else x.layout
|
||||
out = SparseTensor(
|
||||
new_data, shape=torch.Size(new_shape), layout=new_layout,
|
||||
scale=tuple([s // stride for s, stride in zip(x._scale, self.stride)]),
|
||||
spatial_cache=x._spatial_cache,
|
||||
)
|
||||
return out
|
||||
@@ -0,0 +1,38 @@
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
from .. import SparseTensor
|
||||
|
||||
|
||||
class SparseConv3d(nn.Module):
|
||||
def __init__(self, in_channels, out_channels, kernel_size, stride=1, dilation=1, bias=True, indice_key=None):
|
||||
super(SparseConv3d, self).__init__()
|
||||
if 'torchsparse' not in globals():
|
||||
import torchsparse
|
||||
self.conv = torchsparse.nn.Conv3d(in_channels, out_channels, kernel_size, stride, 0, dilation, bias)
|
||||
|
||||
def forward(self, x: SparseTensor) -> SparseTensor:
|
||||
out = self.conv(x.data)
|
||||
new_shape = [x.shape[0], self.conv.out_channels]
|
||||
out = SparseTensor(out, shape=torch.Size(new_shape), layout=x.layout if all(s == 1 for s in self.conv.stride) else None)
|
||||
out._spatial_cache = x._spatial_cache
|
||||
out._scale = tuple([s * stride for s, stride in zip(x._scale, self.conv.stride)])
|
||||
return out
|
||||
|
||||
|
||||
class SparseInverseConv3d(nn.Module):
|
||||
def __init__(self, in_channels, out_channels, kernel_size, stride=1, dilation=1, bias=True, indice_key=None):
|
||||
super(SparseInverseConv3d, self).__init__()
|
||||
if 'torchsparse' not in globals():
|
||||
import torchsparse
|
||||
self.conv = torchsparse.nn.Conv3d(in_channels, out_channels, kernel_size, stride, 0, dilation, bias, transposed=True)
|
||||
|
||||
def forward(self, x: SparseTensor) -> SparseTensor:
|
||||
out = self.conv(x.data)
|
||||
new_shape = [x.shape[0], self.conv.out_channels]
|
||||
out = SparseTensor(out, shape=torch.Size(new_shape), layout=x.layout if all(s == 1 for s in self.conv.stride) else None)
|
||||
out._spatial_cache = x._spatial_cache
|
||||
out._scale = tuple([s // stride for s, stride in zip(x._scale, self.conv.stride)])
|
||||
return out
|
||||
|
||||
|
||||
|
||||
@@ -0,0 +1,15 @@
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
from . import SparseTensor
|
||||
|
||||
__all__ = [
|
||||
'SparseLinear'
|
||||
]
|
||||
|
||||
|
||||
class SparseLinear(nn.Linear):
|
||||
def __init__(self, in_features, out_features, bias=True):
|
||||
super(SparseLinear, self).__init__(in_features, out_features, bias)
|
||||
|
||||
def forward(self, input: SparseTensor) -> SparseTensor:
|
||||
return input.replace(super().forward(input.feats))
|
||||
@@ -0,0 +1,35 @@
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
from . import SparseTensor
|
||||
|
||||
__all__ = [
|
||||
'SparseReLU',
|
||||
'SparseSiLU',
|
||||
'SparseGELU',
|
||||
'SparseActivation'
|
||||
]
|
||||
|
||||
|
||||
class SparseReLU(nn.ReLU):
|
||||
def forward(self, input: SparseTensor) -> SparseTensor:
|
||||
return input.replace(super().forward(input.feats))
|
||||
|
||||
|
||||
class SparseSiLU(nn.SiLU):
|
||||
def forward(self, input: SparseTensor) -> SparseTensor:
|
||||
return input.replace(super().forward(input.feats))
|
||||
|
||||
|
||||
class SparseGELU(nn.GELU):
|
||||
def forward(self, input: SparseTensor) -> SparseTensor:
|
||||
return input.replace(super().forward(input.feats))
|
||||
|
||||
|
||||
class SparseActivation(nn.Module):
|
||||
def __init__(self, activation: nn.Module):
|
||||
super().__init__()
|
||||
self.activation = activation
|
||||
|
||||
def forward(self, input: SparseTensor) -> SparseTensor:
|
||||
return input.replace(self.activation(input.feats))
|
||||
|
||||
@@ -0,0 +1,58 @@
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
from . import SparseTensor
|
||||
from . import DEBUG
|
||||
|
||||
__all__ = [
|
||||
'SparseGroupNorm',
|
||||
'SparseLayerNorm',
|
||||
'SparseGroupNorm32',
|
||||
'SparseLayerNorm32',
|
||||
]
|
||||
|
||||
|
||||
class SparseGroupNorm(nn.GroupNorm):
|
||||
def __init__(self, num_groups, num_channels, eps=1e-5, affine=True):
|
||||
super(SparseGroupNorm, self).__init__(num_groups, num_channels, eps, affine)
|
||||
|
||||
def forward(self, input: SparseTensor) -> SparseTensor:
|
||||
nfeats = torch.zeros_like(input.feats)
|
||||
for k in range(input.shape[0]):
|
||||
if DEBUG:
|
||||
assert (input.coords[input.layout[k], 0] == k).all(), f"SparseGroupNorm: batch index mismatch"
|
||||
bfeats = input.feats[input.layout[k]]
|
||||
bfeats = bfeats.permute(1, 0).reshape(1, input.shape[1], -1)
|
||||
bfeats = super().forward(bfeats)
|
||||
bfeats = bfeats.reshape(input.shape[1], -1).permute(1, 0)
|
||||
nfeats[input.layout[k]] = bfeats
|
||||
return input.replace(nfeats)
|
||||
|
||||
|
||||
class SparseLayerNorm(nn.LayerNorm):
|
||||
def __init__(self, normalized_shape, eps=1e-5, elementwise_affine=True):
|
||||
super(SparseLayerNorm, self).__init__(normalized_shape, eps, elementwise_affine)
|
||||
|
||||
def forward(self, input: SparseTensor) -> SparseTensor:
|
||||
nfeats = torch.zeros_like(input.feats)
|
||||
for k in range(input.shape[0]):
|
||||
bfeats = input.feats[input.layout[k]]
|
||||
bfeats = bfeats.permute(1, 0).reshape(1, input.shape[1], -1)
|
||||
bfeats = super().forward(bfeats)
|
||||
bfeats = bfeats.reshape(input.shape[1], -1).permute(1, 0)
|
||||
nfeats[input.layout[k]] = bfeats
|
||||
return input.replace(nfeats)
|
||||
|
||||
|
||||
class SparseGroupNorm32(SparseGroupNorm):
|
||||
"""
|
||||
A GroupNorm layer that converts to float32 before the forward pass.
|
||||
"""
|
||||
def forward(self, x: SparseTensor) -> SparseTensor:
|
||||
return super().forward(x.float()).type(x.dtype)
|
||||
|
||||
class SparseLayerNorm32(SparseLayerNorm):
|
||||
"""
|
||||
A LayerNorm layer that converts to float32 before the forward pass.
|
||||
"""
|
||||
def forward(self, x: SparseTensor) -> SparseTensor:
|
||||
return super().forward(x.float()).type(x.dtype)
|
||||
@@ -0,0 +1,110 @@
|
||||
from typing import *
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
from . import SparseTensor
|
||||
|
||||
__all__ = [
|
||||
'SparseDownsample',
|
||||
'SparseUpsample',
|
||||
'SparseSubdivide'
|
||||
]
|
||||
|
||||
|
||||
class SparseDownsample(nn.Module):
|
||||
"""
|
||||
Downsample a sparse tensor by a factor of `factor`.
|
||||
Implemented as average pooling.
|
||||
"""
|
||||
def __init__(self, factor: Union[int, Tuple[int, ...], List[int]]):
|
||||
super(SparseDownsample, self).__init__()
|
||||
self.factor = tuple(factor) if isinstance(factor, (list, tuple)) else factor
|
||||
|
||||
def forward(self, input: SparseTensor) -> SparseTensor:
|
||||
DIM = input.coords.shape[-1] - 1
|
||||
factor = self.factor if isinstance(self.factor, tuple) else (self.factor,) * DIM
|
||||
assert DIM == len(factor), 'Input coordinates must have the same dimension as the downsample factor.'
|
||||
|
||||
coord = list(input.coords.unbind(dim=-1))
|
||||
for i, f in enumerate(factor):
|
||||
coord[i+1] = coord[i+1] // f
|
||||
|
||||
MAX = [coord[i+1].max().item() + 1 for i in range(DIM)]
|
||||
OFFSET = torch.cumprod(torch.tensor(MAX[::-1]), 0).tolist()[::-1] + [1]
|
||||
code = sum([c * o for c, o in zip(coord, OFFSET)])
|
||||
code, idx = code.unique(return_inverse=True)
|
||||
|
||||
new_feats = torch.scatter_reduce(
|
||||
torch.zeros(code.shape[0], input.feats.shape[1], device=input.feats.device, dtype=input.feats.dtype),
|
||||
dim=0,
|
||||
index=idx.unsqueeze(1).expand(-1, input.feats.shape[1]),
|
||||
src=input.feats,
|
||||
reduce='mean'
|
||||
)
|
||||
new_coords = torch.stack(
|
||||
[code // OFFSET[0]] +
|
||||
[(code // OFFSET[i+1]) % MAX[i] for i in range(DIM)],
|
||||
dim=-1
|
||||
)
|
||||
out = SparseTensor(new_feats, new_coords, input.shape,)
|
||||
out._scale = tuple([s // f for s, f in zip(input._scale, factor)])
|
||||
out._spatial_cache = input._spatial_cache
|
||||
|
||||
out.register_spatial_cache(f'upsample_{factor}_coords', input.coords)
|
||||
out.register_spatial_cache(f'upsample_{factor}_layout', input.layout)
|
||||
out.register_spatial_cache(f'upsample_{factor}_idx', idx)
|
||||
|
||||
return out
|
||||
|
||||
|
||||
class SparseUpsample(nn.Module):
|
||||
"""
|
||||
Upsample a sparse tensor by a factor of `factor`.
|
||||
Implemented as nearest neighbor interpolation.
|
||||
"""
|
||||
def __init__(self, factor: Union[int, Tuple[int, int, int], List[int]]):
|
||||
super(SparseUpsample, self).__init__()
|
||||
self.factor = tuple(factor) if isinstance(factor, (list, tuple)) else factor
|
||||
|
||||
def forward(self, input: SparseTensor) -> SparseTensor:
|
||||
DIM = input.coords.shape[-1] - 1
|
||||
factor = self.factor if isinstance(self.factor, tuple) else (self.factor,) * DIM
|
||||
assert DIM == len(factor), 'Input coordinates must have the same dimension as the upsample factor.'
|
||||
|
||||
new_coords = input.get_spatial_cache(f'upsample_{factor}_coords')
|
||||
new_layout = input.get_spatial_cache(f'upsample_{factor}_layout')
|
||||
idx = input.get_spatial_cache(f'upsample_{factor}_idx')
|
||||
if any([x is None for x in [new_coords, new_layout, idx]]):
|
||||
raise ValueError('Upsample cache not found. SparseUpsample must be paired with SparseDownsample.')
|
||||
new_feats = input.feats[idx]
|
||||
out = SparseTensor(new_feats, new_coords, input.shape, new_layout)
|
||||
out._scale = tuple([s * f for s, f in zip(input._scale, factor)])
|
||||
out._spatial_cache = input._spatial_cache
|
||||
return out
|
||||
|
||||
class SparseSubdivide(nn.Module):
|
||||
"""
|
||||
Upsample a sparse tensor by a factor of `factor`.
|
||||
Implemented as nearest neighbor interpolation.
|
||||
"""
|
||||
def __init__(self):
|
||||
super(SparseSubdivide, self).__init__()
|
||||
|
||||
def forward(self, input: SparseTensor) -> SparseTensor:
|
||||
DIM = input.coords.shape[-1] - 1
|
||||
# upsample scale=2^DIM
|
||||
n_cube = torch.ones([2] * DIM, device=input.device, dtype=torch.int)
|
||||
n_coords = torch.nonzero(n_cube)
|
||||
n_coords = torch.cat([torch.zeros_like(n_coords[:, :1]), n_coords], dim=-1)
|
||||
factor = n_coords.shape[0]
|
||||
assert factor == 2 ** DIM
|
||||
# print(n_coords.shape)
|
||||
new_coords = input.coords.clone()
|
||||
new_coords[:, 1:] *= 2
|
||||
new_coords = new_coords.unsqueeze(1) + n_coords.unsqueeze(0).to(new_coords.dtype)
|
||||
|
||||
new_feats = input.feats.unsqueeze(1).expand(input.feats.shape[0], factor, *input.feats.shape[1:])
|
||||
out = SparseTensor(new_feats.flatten(0, 1), new_coords.flatten(0, 1), input.shape)
|
||||
out._scale = input._scale * 2
|
||||
out._spatial_cache = input._spatial_cache
|
||||
return out
|
||||
|
||||
@@ -0,0 +1,2 @@
|
||||
from .blocks import *
|
||||
from .modulated import *
|
||||
@@ -0,0 +1,151 @@
|
||||
from typing import *
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
from ..basic import SparseTensor
|
||||
from ..linear import SparseLinear
|
||||
from ..nonlinearity import SparseGELU
|
||||
from ..attention import SparseMultiHeadAttention, SerializeMode
|
||||
from ...norm import LayerNorm32
|
||||
|
||||
|
||||
class SparseFeedForwardNet(nn.Module):
|
||||
def __init__(self, channels: int, mlp_ratio: float = 4.0):
|
||||
super().__init__()
|
||||
self.mlp = nn.Sequential(
|
||||
SparseLinear(channels, int(channels * mlp_ratio)),
|
||||
SparseGELU(approximate="tanh"),
|
||||
SparseLinear(int(channels * mlp_ratio), channels),
|
||||
)
|
||||
|
||||
def forward(self, x: SparseTensor) -> SparseTensor:
|
||||
return self.mlp(x)
|
||||
|
||||
|
||||
class SparseTransformerBlock(nn.Module):
|
||||
"""
|
||||
Sparse Transformer block (MSA + FFN).
|
||||
"""
|
||||
def __init__(
|
||||
self,
|
||||
channels: int,
|
||||
num_heads: int,
|
||||
mlp_ratio: float = 4.0,
|
||||
attn_mode: Literal["full", "shift_window", "shift_sequence", "shift_order", "swin"] = "full",
|
||||
window_size: Optional[int] = None,
|
||||
shift_sequence: Optional[int] = None,
|
||||
shift_window: Optional[Tuple[int, int, int]] = None,
|
||||
serialize_mode: Optional[SerializeMode] = None,
|
||||
use_checkpoint: bool = False,
|
||||
use_rope: bool = False,
|
||||
qk_rms_norm: bool = False,
|
||||
qkv_bias: bool = True,
|
||||
ln_affine: bool = False,
|
||||
):
|
||||
super().__init__()
|
||||
self.use_checkpoint = use_checkpoint
|
||||
self.norm1 = LayerNorm32(channels, elementwise_affine=ln_affine, eps=1e-6)
|
||||
self.norm2 = LayerNorm32(channels, elementwise_affine=ln_affine, eps=1e-6)
|
||||
self.attn = SparseMultiHeadAttention(
|
||||
channels,
|
||||
num_heads=num_heads,
|
||||
attn_mode=attn_mode,
|
||||
window_size=window_size,
|
||||
shift_sequence=shift_sequence,
|
||||
shift_window=shift_window,
|
||||
serialize_mode=serialize_mode,
|
||||
qkv_bias=qkv_bias,
|
||||
use_rope=use_rope,
|
||||
qk_rms_norm=qk_rms_norm,
|
||||
)
|
||||
self.mlp = SparseFeedForwardNet(
|
||||
channels,
|
||||
mlp_ratio=mlp_ratio,
|
||||
)
|
||||
|
||||
def _forward(self, x: SparseTensor) -> SparseTensor:
|
||||
h = x.replace(self.norm1(x.feats))
|
||||
h = self.attn(h)
|
||||
x = x + h
|
||||
h = x.replace(self.norm2(x.feats))
|
||||
h = self.mlp(h)
|
||||
x = x + h
|
||||
return x
|
||||
|
||||
def forward(self, x: SparseTensor) -> SparseTensor:
|
||||
if self.use_checkpoint:
|
||||
return torch.utils.checkpoint.checkpoint(self._forward, x, use_reentrant=False)
|
||||
else:
|
||||
return self._forward(x)
|
||||
|
||||
|
||||
class SparseTransformerCrossBlock(nn.Module):
|
||||
"""
|
||||
Sparse Transformer cross-attention block (MSA + MCA + FFN).
|
||||
"""
|
||||
def __init__(
|
||||
self,
|
||||
channels: int,
|
||||
ctx_channels: int,
|
||||
num_heads: int,
|
||||
mlp_ratio: float = 4.0,
|
||||
attn_mode: Literal["full", "shift_window", "shift_sequence", "shift_order", "swin"] = "full",
|
||||
window_size: Optional[int] = None,
|
||||
shift_sequence: Optional[int] = None,
|
||||
shift_window: Optional[Tuple[int, int, int]] = None,
|
||||
serialize_mode: Optional[SerializeMode] = None,
|
||||
use_checkpoint: bool = False,
|
||||
use_rope: bool = False,
|
||||
qk_rms_norm: bool = False,
|
||||
qk_rms_norm_cross: bool = False,
|
||||
qkv_bias: bool = True,
|
||||
ln_affine: bool = False,
|
||||
):
|
||||
super().__init__()
|
||||
self.use_checkpoint = use_checkpoint
|
||||
self.norm1 = LayerNorm32(channels, elementwise_affine=ln_affine, eps=1e-6)
|
||||
self.norm2 = LayerNorm32(channels, elementwise_affine=ln_affine, eps=1e-6)
|
||||
self.norm3 = LayerNorm32(channels, elementwise_affine=ln_affine, eps=1e-6)
|
||||
self.self_attn = SparseMultiHeadAttention(
|
||||
channels,
|
||||
num_heads=num_heads,
|
||||
type="self",
|
||||
attn_mode=attn_mode,
|
||||
window_size=window_size,
|
||||
shift_sequence=shift_sequence,
|
||||
shift_window=shift_window,
|
||||
serialize_mode=serialize_mode,
|
||||
qkv_bias=qkv_bias,
|
||||
use_rope=use_rope,
|
||||
qk_rms_norm=qk_rms_norm,
|
||||
)
|
||||
self.cross_attn = SparseMultiHeadAttention(
|
||||
channels,
|
||||
ctx_channels=ctx_channels,
|
||||
num_heads=num_heads,
|
||||
type="cross",
|
||||
attn_mode="full",
|
||||
qkv_bias=qkv_bias,
|
||||
qk_rms_norm=qk_rms_norm_cross,
|
||||
)
|
||||
self.mlp = SparseFeedForwardNet(
|
||||
channels,
|
||||
mlp_ratio=mlp_ratio,
|
||||
)
|
||||
|
||||
def _forward(self, x: SparseTensor, mod: torch.Tensor, context: torch.Tensor):
|
||||
h = x.replace(self.norm1(x.feats))
|
||||
h = self.self_attn(h)
|
||||
x = x + h
|
||||
h = x.replace(self.norm2(x.feats))
|
||||
h = self.cross_attn(h, context)
|
||||
x = x + h
|
||||
h = x.replace(self.norm3(x.feats))
|
||||
h = self.mlp(h)
|
||||
x = x + h
|
||||
return x
|
||||
|
||||
def forward(self, x: SparseTensor, context: torch.Tensor):
|
||||
if self.use_checkpoint:
|
||||
return torch.utils.checkpoint.checkpoint(self._forward, x, context, use_reentrant=False)
|
||||
else:
|
||||
return self._forward(x, context)
|
||||
@@ -0,0 +1,166 @@
|
||||
from typing import *
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
from ..basic import SparseTensor
|
||||
from ..attention import SparseMultiHeadAttention, SerializeMode
|
||||
from ...norm import LayerNorm32
|
||||
from .blocks import SparseFeedForwardNet
|
||||
|
||||
|
||||
class ModulatedSparseTransformerBlock(nn.Module):
|
||||
"""
|
||||
Sparse Transformer block (MSA + FFN) with adaptive layer norm conditioning.
|
||||
"""
|
||||
def __init__(
|
||||
self,
|
||||
channels: int,
|
||||
num_heads: int,
|
||||
mlp_ratio: float = 4.0,
|
||||
attn_mode: Literal["full", "shift_window", "shift_sequence", "shift_order", "swin"] = "full",
|
||||
window_size: Optional[int] = None,
|
||||
shift_sequence: Optional[int] = None,
|
||||
shift_window: Optional[Tuple[int, int, int]] = None,
|
||||
serialize_mode: Optional[SerializeMode] = None,
|
||||
use_checkpoint: bool = False,
|
||||
use_rope: bool = False,
|
||||
qk_rms_norm: bool = False,
|
||||
qkv_bias: bool = True,
|
||||
share_mod: bool = False,
|
||||
):
|
||||
super().__init__()
|
||||
self.use_checkpoint = use_checkpoint
|
||||
self.share_mod = share_mod
|
||||
self.norm1 = LayerNorm32(channels, elementwise_affine=False, eps=1e-6)
|
||||
self.norm2 = LayerNorm32(channels, elementwise_affine=False, eps=1e-6)
|
||||
self.attn = SparseMultiHeadAttention(
|
||||
channels,
|
||||
num_heads=num_heads,
|
||||
attn_mode=attn_mode,
|
||||
window_size=window_size,
|
||||
shift_sequence=shift_sequence,
|
||||
shift_window=shift_window,
|
||||
serialize_mode=serialize_mode,
|
||||
qkv_bias=qkv_bias,
|
||||
use_rope=use_rope,
|
||||
qk_rms_norm=qk_rms_norm,
|
||||
)
|
||||
self.mlp = SparseFeedForwardNet(
|
||||
channels,
|
||||
mlp_ratio=mlp_ratio,
|
||||
)
|
||||
if not share_mod:
|
||||
self.adaLN_modulation = nn.Sequential(
|
||||
nn.SiLU(),
|
||||
nn.Linear(channels, 6 * channels, bias=True)
|
||||
)
|
||||
|
||||
def _forward(self, x: SparseTensor, mod: torch.Tensor) -> SparseTensor:
|
||||
if self.share_mod:
|
||||
shift_msa, scale_msa, gate_msa, shift_mlp, scale_mlp, gate_mlp = mod.chunk(6, dim=1)
|
||||
else:
|
||||
shift_msa, scale_msa, gate_msa, shift_mlp, scale_mlp, gate_mlp = self.adaLN_modulation(mod).chunk(6, dim=1)
|
||||
h = x.replace(self.norm1(x.feats))
|
||||
h = h * (1 + scale_msa) + shift_msa
|
||||
h = self.attn(h)
|
||||
h = h * gate_msa
|
||||
x = x + h
|
||||
h = x.replace(self.norm2(x.feats))
|
||||
h = h * (1 + scale_mlp) + shift_mlp
|
||||
h = self.mlp(h)
|
||||
h = h * gate_mlp
|
||||
x = x + h
|
||||
return x
|
||||
|
||||
def forward(self, x: SparseTensor, mod: torch.Tensor) -> SparseTensor:
|
||||
if self.use_checkpoint:
|
||||
return torch.utils.checkpoint.checkpoint(self._forward, x, mod, use_reentrant=False)
|
||||
else:
|
||||
return self._forward(x, mod)
|
||||
|
||||
|
||||
class ModulatedSparseTransformerCrossBlock(nn.Module):
|
||||
"""
|
||||
Sparse Transformer cross-attention block (MSA + MCA + FFN) with adaptive layer norm conditioning.
|
||||
"""
|
||||
def __init__(
|
||||
self,
|
||||
channels: int,
|
||||
ctx_channels: int,
|
||||
num_heads: int,
|
||||
mlp_ratio: float = 4.0,
|
||||
attn_mode: Literal["full", "shift_window", "shift_sequence", "shift_order", "swin"] = "full",
|
||||
window_size: Optional[int] = None,
|
||||
shift_sequence: Optional[int] = None,
|
||||
shift_window: Optional[Tuple[int, int, int]] = None,
|
||||
serialize_mode: Optional[SerializeMode] = None,
|
||||
use_checkpoint: bool = False,
|
||||
use_rope: bool = False,
|
||||
qk_rms_norm: bool = False,
|
||||
qk_rms_norm_cross: bool = False,
|
||||
qkv_bias: bool = True,
|
||||
share_mod: bool = False,
|
||||
|
||||
):
|
||||
super().__init__()
|
||||
self.use_checkpoint = use_checkpoint
|
||||
self.share_mod = share_mod
|
||||
self.norm1 = LayerNorm32(channels, elementwise_affine=False, eps=1e-6)
|
||||
self.norm2 = LayerNorm32(channels, elementwise_affine=True, eps=1e-6)
|
||||
self.norm3 = LayerNorm32(channels, elementwise_affine=False, eps=1e-6)
|
||||
self.self_attn = SparseMultiHeadAttention(
|
||||
channels,
|
||||
num_heads=num_heads,
|
||||
type="self",
|
||||
attn_mode=attn_mode,
|
||||
window_size=window_size,
|
||||
shift_sequence=shift_sequence,
|
||||
shift_window=shift_window,
|
||||
serialize_mode=serialize_mode,
|
||||
qkv_bias=qkv_bias,
|
||||
use_rope=use_rope,
|
||||
qk_rms_norm=qk_rms_norm,
|
||||
)
|
||||
self.cross_attn = SparseMultiHeadAttention(
|
||||
channels,
|
||||
ctx_channels=ctx_channels,
|
||||
num_heads=num_heads,
|
||||
type="cross",
|
||||
attn_mode="full",
|
||||
qkv_bias=qkv_bias,
|
||||
qk_rms_norm=qk_rms_norm_cross,
|
||||
)
|
||||
self.mlp = SparseFeedForwardNet(
|
||||
channels,
|
||||
mlp_ratio=mlp_ratio,
|
||||
)
|
||||
if not share_mod:
|
||||
self.adaLN_modulation = nn.Sequential(
|
||||
nn.SiLU(),
|
||||
nn.Linear(channels, 6 * channels, bias=True)
|
||||
)
|
||||
|
||||
def _forward(self, x: SparseTensor, mod: torch.Tensor, context: torch.Tensor) -> SparseTensor:
|
||||
if self.share_mod:
|
||||
shift_msa, scale_msa, gate_msa, shift_mlp, scale_mlp, gate_mlp = mod.chunk(6, dim=1)
|
||||
else:
|
||||
shift_msa, scale_msa, gate_msa, shift_mlp, scale_mlp, gate_mlp = self.adaLN_modulation(mod).chunk(6, dim=1)
|
||||
h = x.replace(self.norm1(x.feats))
|
||||
h = h * (1 + scale_msa) + shift_msa
|
||||
h = self.self_attn(h)
|
||||
h = h * gate_msa
|
||||
x = x + h
|
||||
h = x.replace(self.norm2(x.feats))
|
||||
h = self.cross_attn(h, context)
|
||||
x = x + h
|
||||
h = x.replace(self.norm3(x.feats))
|
||||
h = h * (1 + scale_mlp) + shift_mlp
|
||||
h = self.mlp(h)
|
||||
h = h * gate_mlp
|
||||
x = x + h
|
||||
return x
|
||||
|
||||
def forward(self, x: SparseTensor, mod: torch.Tensor, context: torch.Tensor) -> SparseTensor:
|
||||
if self.use_checkpoint:
|
||||
return torch.utils.checkpoint.checkpoint(self._forward, x, mod, context, use_reentrant=False)
|
||||
else:
|
||||
return self._forward(x, mod, context)
|
||||
@@ -0,0 +1,48 @@
|
||||
import torch
|
||||
|
||||
|
||||
def pixel_shuffle_3d(x: torch.Tensor, scale_factor: int) -> torch.Tensor:
|
||||
"""
|
||||
3D pixel shuffle.
|
||||
"""
|
||||
B, C, H, W, D = x.shape
|
||||
C_ = C // scale_factor**3
|
||||
x = x.reshape(B, C_, scale_factor, scale_factor, scale_factor, H, W, D)
|
||||
x = x.permute(0, 1, 5, 2, 6, 3, 7, 4)
|
||||
x = x.reshape(B, C_, H*scale_factor, W*scale_factor, D*scale_factor)
|
||||
return x
|
||||
|
||||
|
||||
def patchify(x: torch.Tensor, patch_size: int):
|
||||
"""
|
||||
Patchify a tensor.
|
||||
|
||||
Args:
|
||||
x (torch.Tensor): (N, C, *spatial) tensor
|
||||
patch_size (int): Patch size
|
||||
"""
|
||||
DIM = x.dim() - 2
|
||||
for d in range(2, DIM + 2):
|
||||
assert x.shape[d] % patch_size == 0, f"Dimension {d} of input tensor must be divisible by patch size, got {x.shape[d]} and {patch_size}"
|
||||
|
||||
x = x.reshape(*x.shape[:2], *sum([[x.shape[d] // patch_size, patch_size] for d in range(2, DIM + 2)], []))
|
||||
x = x.permute(0, 1, *([2 * i + 3 for i in range(DIM)] + [2 * i + 2 for i in range(DIM)]))
|
||||
x = x.reshape(x.shape[0], x.shape[1] * (patch_size ** DIM), *(x.shape[-DIM:]))
|
||||
return x
|
||||
|
||||
|
||||
def unpatchify(x: torch.Tensor, patch_size: int):
|
||||
"""
|
||||
Unpatchify a tensor.
|
||||
|
||||
Args:
|
||||
x (torch.Tensor): (N, C, *spatial) tensor
|
||||
patch_size (int): Patch size
|
||||
"""
|
||||
DIM = x.dim() - 2
|
||||
assert x.shape[1] % (patch_size ** DIM) == 0, f"Second dimension of input tensor must be divisible by patch size to unpatchify, got {x.shape[1]} and {patch_size ** DIM}"
|
||||
|
||||
x = x.reshape(x.shape[0], x.shape[1] // (patch_size ** DIM), *([patch_size] * DIM), *(x.shape[-DIM:]))
|
||||
x = x.permute(0, 1, *(sum([[2 + DIM + i, 2 + i] for i in range(DIM)], [])))
|
||||
x = x.reshape(x.shape[0], x.shape[1], *[x.shape[2 + 2 * i] * patch_size for i in range(DIM)])
|
||||
return x
|
||||
@@ -0,0 +1,2 @@
|
||||
from .blocks import *
|
||||
from .modulated import *
|
||||
@@ -0,0 +1,182 @@
|
||||
from typing import *
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
from ..attention import MultiHeadAttention
|
||||
from ..norm import LayerNorm32
|
||||
|
||||
|
||||
class AbsolutePositionEmbedder(nn.Module):
|
||||
"""
|
||||
Embeds spatial positions into vector representations.
|
||||
"""
|
||||
def __init__(self, channels: int, in_channels: int = 3):
|
||||
super().__init__()
|
||||
self.channels = channels
|
||||
self.in_channels = in_channels
|
||||
self.freq_dim = channels // in_channels // 2
|
||||
self.freqs = torch.arange(self.freq_dim, dtype=torch.float32) / self.freq_dim
|
||||
self.freqs = 1.0 / (10000 ** self.freqs)
|
||||
|
||||
def _sin_cos_embedding(self, x: torch.Tensor) -> torch.Tensor:
|
||||
"""
|
||||
Create sinusoidal position embeddings.
|
||||
|
||||
Args:
|
||||
x: a 1-D Tensor of N indices
|
||||
|
||||
Returns:
|
||||
an (N, D) Tensor of positional embeddings.
|
||||
"""
|
||||
self.freqs = self.freqs.to(x.device)
|
||||
out = torch.outer(x, self.freqs)
|
||||
out = torch.cat([torch.sin(out), torch.cos(out)], dim=-1)
|
||||
return out
|
||||
|
||||
def forward(self, x: torch.Tensor) -> torch.Tensor:
|
||||
"""
|
||||
Args:
|
||||
x (torch.Tensor): (N, D) tensor of spatial positions
|
||||
"""
|
||||
N, D = x.shape
|
||||
assert D == self.in_channels, "Input dimension must match number of input channels"
|
||||
embed = self._sin_cos_embedding(x.reshape(-1))
|
||||
embed = embed.reshape(N, -1)
|
||||
if embed.shape[1] < self.channels:
|
||||
embed = torch.cat([embed, torch.zeros(N, self.channels - embed.shape[1], device=embed.device)], dim=-1)
|
||||
return embed
|
||||
|
||||
|
||||
class FeedForwardNet(nn.Module):
|
||||
def __init__(self, channels: int, mlp_ratio: float = 4.0):
|
||||
super().__init__()
|
||||
self.mlp = nn.Sequential(
|
||||
nn.Linear(channels, int(channels * mlp_ratio)),
|
||||
nn.GELU(approximate="tanh"),
|
||||
nn.Linear(int(channels * mlp_ratio), channels),
|
||||
)
|
||||
|
||||
def forward(self, x: torch.Tensor) -> torch.Tensor:
|
||||
return self.mlp(x)
|
||||
|
||||
|
||||
class TransformerBlock(nn.Module):
|
||||
"""
|
||||
Transformer block (MSA + FFN).
|
||||
"""
|
||||
def __init__(
|
||||
self,
|
||||
channels: int,
|
||||
num_heads: int,
|
||||
mlp_ratio: float = 4.0,
|
||||
attn_mode: Literal["full", "windowed"] = "full",
|
||||
window_size: Optional[int] = None,
|
||||
shift_window: Optional[int] = None,
|
||||
use_checkpoint: bool = False,
|
||||
use_rope: bool = False,
|
||||
qk_rms_norm: bool = False,
|
||||
qkv_bias: bool = True,
|
||||
ln_affine: bool = False,
|
||||
):
|
||||
super().__init__()
|
||||
self.use_checkpoint = use_checkpoint
|
||||
self.norm1 = LayerNorm32(channels, elementwise_affine=ln_affine, eps=1e-6)
|
||||
self.norm2 = LayerNorm32(channels, elementwise_affine=ln_affine, eps=1e-6)
|
||||
self.attn = MultiHeadAttention(
|
||||
channels,
|
||||
num_heads=num_heads,
|
||||
attn_mode=attn_mode,
|
||||
window_size=window_size,
|
||||
shift_window=shift_window,
|
||||
qkv_bias=qkv_bias,
|
||||
use_rope=use_rope,
|
||||
qk_rms_norm=qk_rms_norm,
|
||||
)
|
||||
self.mlp = FeedForwardNet(
|
||||
channels,
|
||||
mlp_ratio=mlp_ratio,
|
||||
)
|
||||
|
||||
def _forward(self, x: torch.Tensor) -> torch.Tensor:
|
||||
h = self.norm1(x)
|
||||
h = self.attn(h)
|
||||
x = x + h
|
||||
h = self.norm2(x)
|
||||
h = self.mlp(h)
|
||||
x = x + h
|
||||
return x
|
||||
|
||||
def forward(self, x: torch.Tensor) -> torch.Tensor:
|
||||
if self.use_checkpoint:
|
||||
return torch.utils.checkpoint.checkpoint(self._forward, x, use_reentrant=False)
|
||||
else:
|
||||
return self._forward(x)
|
||||
|
||||
|
||||
class TransformerCrossBlock(nn.Module):
|
||||
"""
|
||||
Transformer cross-attention block (MSA + MCA + FFN).
|
||||
"""
|
||||
def __init__(
|
||||
self,
|
||||
channels: int,
|
||||
ctx_channels: int,
|
||||
num_heads: int,
|
||||
mlp_ratio: float = 4.0,
|
||||
attn_mode: Literal["full", "windowed"] = "full",
|
||||
window_size: Optional[int] = None,
|
||||
shift_window: Optional[Tuple[int, int, int]] = None,
|
||||
use_checkpoint: bool = False,
|
||||
use_rope: bool = False,
|
||||
qk_rms_norm: bool = False,
|
||||
qk_rms_norm_cross: bool = False,
|
||||
qkv_bias: bool = True,
|
||||
ln_affine: bool = False,
|
||||
):
|
||||
super().__init__()
|
||||
self.use_checkpoint = use_checkpoint
|
||||
self.norm1 = LayerNorm32(channels, elementwise_affine=ln_affine, eps=1e-6)
|
||||
self.norm2 = LayerNorm32(channels, elementwise_affine=ln_affine, eps=1e-6)
|
||||
self.norm3 = LayerNorm32(channels, elementwise_affine=ln_affine, eps=1e-6)
|
||||
self.self_attn = MultiHeadAttention(
|
||||
channels,
|
||||
num_heads=num_heads,
|
||||
type="self",
|
||||
attn_mode=attn_mode,
|
||||
window_size=window_size,
|
||||
shift_window=shift_window,
|
||||
qkv_bias=qkv_bias,
|
||||
use_rope=use_rope,
|
||||
qk_rms_norm=qk_rms_norm,
|
||||
)
|
||||
self.cross_attn = MultiHeadAttention(
|
||||
channels,
|
||||
ctx_channels=ctx_channels,
|
||||
num_heads=num_heads,
|
||||
type="cross",
|
||||
attn_mode="full",
|
||||
qkv_bias=qkv_bias,
|
||||
qk_rms_norm=qk_rms_norm_cross,
|
||||
)
|
||||
self.mlp = FeedForwardNet(
|
||||
channels,
|
||||
mlp_ratio=mlp_ratio,
|
||||
)
|
||||
|
||||
def _forward(self, x: torch.Tensor, context: torch.Tensor):
|
||||
h = self.norm1(x)
|
||||
h = self.self_attn(h)
|
||||
x = x + h
|
||||
h = self.norm2(x)
|
||||
h = self.cross_attn(h, context)
|
||||
x = x + h
|
||||
h = self.norm3(x)
|
||||
h = self.mlp(h)
|
||||
x = x + h
|
||||
return x
|
||||
|
||||
def forward(self, x: torch.Tensor, context: torch.Tensor):
|
||||
if self.use_checkpoint:
|
||||
return torch.utils.checkpoint.checkpoint(self._forward, x, context, use_reentrant=False)
|
||||
else:
|
||||
return self._forward(x, context)
|
||||
|
||||
@@ -0,0 +1,157 @@
|
||||
from typing import *
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
from ..attention import MultiHeadAttention
|
||||
from ..norm import LayerNorm32
|
||||
from .blocks import FeedForwardNet
|
||||
|
||||
|
||||
class ModulatedTransformerBlock(nn.Module):
|
||||
"""
|
||||
Transformer block (MSA + FFN) with adaptive layer norm conditioning.
|
||||
"""
|
||||
def __init__(
|
||||
self,
|
||||
channels: int,
|
||||
num_heads: int,
|
||||
mlp_ratio: float = 4.0,
|
||||
attn_mode: Literal["full", "windowed"] = "full",
|
||||
window_size: Optional[int] = None,
|
||||
shift_window: Optional[Tuple[int, int, int]] = None,
|
||||
use_checkpoint: bool = False,
|
||||
use_rope: bool = False,
|
||||
qk_rms_norm: bool = False,
|
||||
qkv_bias: bool = True,
|
||||
share_mod: bool = False,
|
||||
):
|
||||
super().__init__()
|
||||
self.use_checkpoint = use_checkpoint
|
||||
self.share_mod = share_mod
|
||||
self.norm1 = LayerNorm32(channels, elementwise_affine=False, eps=1e-6)
|
||||
self.norm2 = LayerNorm32(channels, elementwise_affine=False, eps=1e-6)
|
||||
self.attn = MultiHeadAttention(
|
||||
channels,
|
||||
num_heads=num_heads,
|
||||
attn_mode=attn_mode,
|
||||
window_size=window_size,
|
||||
shift_window=shift_window,
|
||||
qkv_bias=qkv_bias,
|
||||
use_rope=use_rope,
|
||||
qk_rms_norm=qk_rms_norm,
|
||||
)
|
||||
self.mlp = FeedForwardNet(
|
||||
channels,
|
||||
mlp_ratio=mlp_ratio,
|
||||
)
|
||||
if not share_mod:
|
||||
self.adaLN_modulation = nn.Sequential(
|
||||
nn.SiLU(),
|
||||
nn.Linear(channels, 6 * channels, bias=True)
|
||||
)
|
||||
|
||||
def _forward(self, x: torch.Tensor, mod: torch.Tensor) -> torch.Tensor:
|
||||
if self.share_mod:
|
||||
shift_msa, scale_msa, gate_msa, shift_mlp, scale_mlp, gate_mlp = mod.chunk(6, dim=1)
|
||||
else:
|
||||
shift_msa, scale_msa, gate_msa, shift_mlp, scale_mlp, gate_mlp = self.adaLN_modulation(mod).chunk(6, dim=1)
|
||||
h = self.norm1(x)
|
||||
h = h * (1 + scale_msa.unsqueeze(1)) + shift_msa.unsqueeze(1)
|
||||
h = self.attn(h)
|
||||
h = h * gate_msa.unsqueeze(1)
|
||||
x = x + h
|
||||
h = self.norm2(x)
|
||||
h = h * (1 + scale_mlp.unsqueeze(1)) + shift_mlp.unsqueeze(1)
|
||||
h = self.mlp(h)
|
||||
h = h * gate_mlp.unsqueeze(1)
|
||||
x = x + h
|
||||
return x
|
||||
|
||||
def forward(self, x: torch.Tensor, mod: torch.Tensor) -> torch.Tensor:
|
||||
if self.use_checkpoint:
|
||||
return torch.utils.checkpoint.checkpoint(self._forward, x, mod, use_reentrant=False)
|
||||
else:
|
||||
return self._forward(x, mod)
|
||||
|
||||
|
||||
class ModulatedTransformerCrossBlock(nn.Module):
|
||||
"""
|
||||
Transformer cross-attention block (MSA + MCA + FFN) with adaptive layer norm conditioning.
|
||||
"""
|
||||
def __init__(
|
||||
self,
|
||||
channels: int,
|
||||
ctx_channels: int,
|
||||
num_heads: int,
|
||||
mlp_ratio: float = 4.0,
|
||||
attn_mode: Literal["full", "windowed"] = "full",
|
||||
window_size: Optional[int] = None,
|
||||
shift_window: Optional[Tuple[int, int, int]] = None,
|
||||
use_checkpoint: bool = False,
|
||||
use_rope: bool = False,
|
||||
qk_rms_norm: bool = False,
|
||||
qk_rms_norm_cross: bool = False,
|
||||
qkv_bias: bool = True,
|
||||
share_mod: bool = False,
|
||||
):
|
||||
super().__init__()
|
||||
self.use_checkpoint = use_checkpoint
|
||||
self.share_mod = share_mod
|
||||
self.norm1 = LayerNorm32(channels, elementwise_affine=False, eps=1e-6)
|
||||
self.norm2 = LayerNorm32(channels, elementwise_affine=True, eps=1e-6)
|
||||
self.norm3 = LayerNorm32(channels, elementwise_affine=False, eps=1e-6)
|
||||
self.self_attn = MultiHeadAttention(
|
||||
channels,
|
||||
num_heads=num_heads,
|
||||
type="self",
|
||||
attn_mode=attn_mode,
|
||||
window_size=window_size,
|
||||
shift_window=shift_window,
|
||||
qkv_bias=qkv_bias,
|
||||
use_rope=use_rope,
|
||||
qk_rms_norm=qk_rms_norm,
|
||||
)
|
||||
self.cross_attn = MultiHeadAttention(
|
||||
channels,
|
||||
ctx_channels=ctx_channels,
|
||||
num_heads=num_heads,
|
||||
type="cross",
|
||||
attn_mode="full",
|
||||
qkv_bias=qkv_bias,
|
||||
qk_rms_norm=qk_rms_norm_cross,
|
||||
)
|
||||
self.mlp = FeedForwardNet(
|
||||
channels,
|
||||
mlp_ratio=mlp_ratio,
|
||||
)
|
||||
if not share_mod:
|
||||
self.adaLN_modulation = nn.Sequential(
|
||||
nn.SiLU(),
|
||||
nn.Linear(channels, 6 * channels, bias=True)
|
||||
)
|
||||
|
||||
def _forward(self, x: torch.Tensor, mod: torch.Tensor, context: torch.Tensor):
|
||||
if self.share_mod:
|
||||
shift_msa, scale_msa, gate_msa, shift_mlp, scale_mlp, gate_mlp = mod.chunk(6, dim=1)
|
||||
else:
|
||||
shift_msa, scale_msa, gate_msa, shift_mlp, scale_mlp, gate_mlp = self.adaLN_modulation(mod).chunk(6, dim=1)
|
||||
h = self.norm1(x)
|
||||
h = h * (1 + scale_msa.unsqueeze(1)) + shift_msa.unsqueeze(1)
|
||||
h = self.self_attn(h)
|
||||
h = h * gate_msa.unsqueeze(1)
|
||||
x = x + h
|
||||
h = self.norm2(x)
|
||||
h = self.cross_attn(h, context)
|
||||
x = x + h
|
||||
h = self.norm3(x)
|
||||
h = h * (1 + scale_mlp.unsqueeze(1)) + shift_mlp.unsqueeze(1)
|
||||
h = self.mlp(h)
|
||||
h = h * gate_mlp.unsqueeze(1)
|
||||
x = x + h
|
||||
return x
|
||||
|
||||
def forward(self, x: torch.Tensor, mod: torch.Tensor, context: torch.Tensor):
|
||||
if self.use_checkpoint:
|
||||
return torch.utils.checkpoint.checkpoint(self._forward, x, mod, context, use_reentrant=False)
|
||||
else:
|
||||
return self._forward(x, mod, context)
|
||||
|
||||
@@ -0,0 +1,54 @@
|
||||
import torch.nn as nn
|
||||
from ..modules import sparse as sp
|
||||
|
||||
FP16_MODULES = (
|
||||
nn.Conv1d,
|
||||
nn.Conv2d,
|
||||
nn.Conv3d,
|
||||
nn.ConvTranspose1d,
|
||||
nn.ConvTranspose2d,
|
||||
nn.ConvTranspose3d,
|
||||
nn.Linear,
|
||||
sp.SparseConv3d,
|
||||
sp.SparseInverseConv3d,
|
||||
sp.SparseLinear,
|
||||
)
|
||||
|
||||
def convert_module_to_f16(l):
|
||||
"""
|
||||
Convert primitive modules to float16.
|
||||
"""
|
||||
if isinstance(l, FP16_MODULES):
|
||||
for p in l.parameters():
|
||||
p.data = p.data.half()
|
||||
|
||||
|
||||
def convert_module_to_f32(l):
|
||||
"""
|
||||
Convert primitive modules to float32, undoing convert_module_to_f16().
|
||||
"""
|
||||
if isinstance(l, FP16_MODULES):
|
||||
for p in l.parameters():
|
||||
p.data = p.data.float()
|
||||
|
||||
|
||||
def zero_module(module):
|
||||
"""
|
||||
Zero out the parameters of a module and return it.
|
||||
"""
|
||||
for p in module.parameters():
|
||||
p.detach().zero_()
|
||||
return module
|
||||
|
||||
|
||||
def scale_module(module, scale):
|
||||
"""
|
||||
Scale the parameters of a module and return it.
|
||||
"""
|
||||
for p in module.parameters():
|
||||
p.detach().mul_(scale)
|
||||
return module
|
||||
|
||||
|
||||
def modulate(x, shift, scale):
|
||||
return x * (1 + scale.unsqueeze(1)) + shift.unsqueeze(1)
|
||||
@@ -0,0 +1,24 @@
|
||||
from . import samplers
|
||||
from .trellis_image_to_3d import TrellisImageTo3DPipeline
|
||||
|
||||
|
||||
def from_pretrained(path: str):
|
||||
"""
|
||||
Load a pipeline from a model folder or a Hugging Face model hub.
|
||||
|
||||
Args:
|
||||
path: The path to the model. Can be either local path or a Hugging Face model name.
|
||||
"""
|
||||
import os
|
||||
import json
|
||||
is_local = os.path.exists(f"{path}/pipeline.json")
|
||||
|
||||
if is_local:
|
||||
config_file = f"{path}/pipeline.json"
|
||||
else:
|
||||
from huggingface_hub import hf_hub_download
|
||||
config_file = hf_hub_download(path, "pipeline.json")
|
||||
|
||||
with open(config_file, 'r') as f:
|
||||
config = json.load(f)
|
||||
return globals()[config['name']].from_pretrained(path)
|
||||
@@ -0,0 +1,66 @@
|
||||
from typing import *
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
from .. import models
|
||||
|
||||
|
||||
class Pipeline:
|
||||
"""
|
||||
A base class for pipelines.
|
||||
"""
|
||||
def __init__(
|
||||
self,
|
||||
models: dict[str, nn.Module] = None,
|
||||
):
|
||||
if models is None:
|
||||
return
|
||||
self.models = models
|
||||
for model in self.models.values():
|
||||
model.eval()
|
||||
|
||||
@staticmethod
|
||||
def from_pretrained(path: str) -> "Pipeline":
|
||||
"""
|
||||
Load a pretrained model.
|
||||
"""
|
||||
import os
|
||||
import json
|
||||
is_local = os.path.exists(f"{path}/pipeline.json")
|
||||
|
||||
if is_local:
|
||||
config_file = f"{path}/pipeline.json"
|
||||
else:
|
||||
from huggingface_hub import hf_hub_download
|
||||
config_file = hf_hub_download(path, "pipeline.json")
|
||||
|
||||
with open(config_file, 'r') as f:
|
||||
args = json.load(f)['args']
|
||||
|
||||
_models = {
|
||||
k: models.from_pretrained(f"{path}/{v}")
|
||||
for k, v in args['models'].items()
|
||||
}
|
||||
|
||||
new_pipeline = Pipeline(_models)
|
||||
new_pipeline._pretrained_args = args
|
||||
return new_pipeline
|
||||
|
||||
@property
|
||||
def device(self) -> torch.device:
|
||||
for model in self.models.values():
|
||||
if hasattr(model, 'device'):
|
||||
return model.device
|
||||
for model in self.models.values():
|
||||
if hasattr(model, 'parameters'):
|
||||
return next(model.parameters()).device
|
||||
raise RuntimeError("No device found.")
|
||||
|
||||
def to(self, device: torch.device) -> None:
|
||||
for model in self.models.values():
|
||||
model.to(device)
|
||||
|
||||
def cuda(self) -> None:
|
||||
self.to(torch.device("cuda"))
|
||||
|
||||
def cpu(self) -> None:
|
||||
self.to(torch.device("cpu"))
|
||||
@@ -0,0 +1,2 @@
|
||||
from .base import Sampler
|
||||
from .flow_euler import FlowEulerSampler, FlowEulerCfgSampler, FlowEulerGuidanceIntervalSampler
|
||||
@@ -0,0 +1,20 @@
|
||||
from typing import *
|
||||
from abc import ABC, abstractmethod
|
||||
|
||||
|
||||
class Sampler(ABC):
|
||||
"""
|
||||
A base class for samplers.
|
||||
"""
|
||||
|
||||
@abstractmethod
|
||||
def sample(
|
||||
self,
|
||||
model,
|
||||
**kwargs
|
||||
):
|
||||
"""
|
||||
Sample from a model.
|
||||
"""
|
||||
pass
|
||||
|
||||
@@ -0,0 +1,12 @@
|
||||
from typing import *
|
||||
|
||||
|
||||
class ClassifierFreeGuidanceSamplerMixin:
|
||||
"""
|
||||
A mixin class for samplers that apply classifier-free guidance.
|
||||
"""
|
||||
|
||||
def _inference_model(self, model, x_t, t, cond, neg_cond, cfg_strength, **kwargs):
|
||||
pred = super()._inference_model(model, x_t, t, cond, **kwargs)
|
||||
neg_pred = super()._inference_model(model, x_t, t, neg_cond, **kwargs)
|
||||
return (1 + cfg_strength) * pred - cfg_strength * neg_pred
|
||||
@@ -0,0 +1,199 @@
|
||||
from typing import *
|
||||
import torch
|
||||
import numpy as np
|
||||
from tqdm import tqdm
|
||||
from easydict import EasyDict as edict
|
||||
from .base import Sampler
|
||||
from .classifier_free_guidance_mixin import ClassifierFreeGuidanceSamplerMixin
|
||||
from .guidance_interval_mixin import GuidanceIntervalSamplerMixin
|
||||
|
||||
|
||||
class FlowEulerSampler(Sampler):
|
||||
"""
|
||||
Generate samples from a flow-matching model using Euler sampling.
|
||||
|
||||
Args:
|
||||
sigma_min: The minimum scale of noise in flow.
|
||||
"""
|
||||
def __init__(
|
||||
self,
|
||||
sigma_min: float,
|
||||
):
|
||||
self.sigma_min = sigma_min
|
||||
|
||||
def _eps_to_xstart(self, x_t, t, eps):
|
||||
assert x_t.shape == eps.shape
|
||||
return (x_t - (self.sigma_min + (1 - self.sigma_min) * t) * eps) / (1 - t)
|
||||
|
||||
def _xstart_to_eps(self, x_t, t, x_0):
|
||||
assert x_t.shape == x_0.shape
|
||||
return (x_t - (1 - t) * x_0) / (self.sigma_min + (1 - self.sigma_min) * t)
|
||||
|
||||
def _v_to_xstart_eps(self, x_t, t, v):
|
||||
assert x_t.shape == v.shape
|
||||
eps = (1 - t) * v + x_t
|
||||
x_0 = (1 - self.sigma_min) * x_t - (self.sigma_min + (1 - self.sigma_min) * t) * v
|
||||
return x_0, eps
|
||||
|
||||
def _inference_model(self, model, x_t, t, cond=None, **kwargs):
|
||||
t = torch.tensor([1000 * t] * x_t.shape[0], device=x_t.device, dtype=torch.float32)
|
||||
return model(x_t, t, cond, **kwargs)
|
||||
|
||||
def _get_model_prediction(self, model, x_t, t, cond=None, **kwargs):
|
||||
pred_v = self._inference_model(model, x_t, t, cond, **kwargs)
|
||||
pred_x_0, pred_eps = self._v_to_xstart_eps(x_t=x_t, t=t, v=pred_v)
|
||||
return pred_x_0, pred_eps, pred_v
|
||||
|
||||
@torch.no_grad()
|
||||
def sample_once(
|
||||
self,
|
||||
model,
|
||||
x_t,
|
||||
t: float,
|
||||
t_prev: float,
|
||||
cond: Optional[Any] = None,
|
||||
**kwargs
|
||||
):
|
||||
"""
|
||||
Sample x_{t-1} from the model using Euler method.
|
||||
|
||||
Args:
|
||||
model: The model to sample from.
|
||||
x_t: The [N x C x ...] tensor of noisy inputs at time t.
|
||||
t: The current timestep.
|
||||
t_prev: The previous timestep.
|
||||
cond: conditional information.
|
||||
**kwargs: Additional arguments for model inference.
|
||||
|
||||
Returns:
|
||||
a dict containing the following
|
||||
- 'pred_x_prev': x_{t-1}.
|
||||
- 'pred_x_0': a prediction of x_0.
|
||||
"""
|
||||
pred_x_0, pred_eps, pred_v = self._get_model_prediction(model, x_t, t, cond, **kwargs)
|
||||
pred_x_prev = x_t - (t - t_prev) * pred_v
|
||||
return edict({"pred_x_prev": pred_x_prev, "pred_x_0": pred_x_0})
|
||||
|
||||
@torch.no_grad()
|
||||
def sample(
|
||||
self,
|
||||
model,
|
||||
noise,
|
||||
cond: Optional[Any] = None,
|
||||
steps: int = 50,
|
||||
rescale_t: float = 1.0,
|
||||
verbose: bool = True,
|
||||
**kwargs
|
||||
):
|
||||
"""
|
||||
Generate samples from the model using Euler method.
|
||||
|
||||
Args:
|
||||
model: The model to sample from.
|
||||
noise: The initial noise tensor.
|
||||
cond: conditional information.
|
||||
steps: The number of steps to sample.
|
||||
rescale_t: The rescale factor for t.
|
||||
verbose: If True, show a progress bar.
|
||||
**kwargs: Additional arguments for model_inference.
|
||||
|
||||
Returns:
|
||||
a dict containing the following
|
||||
- 'samples': the model samples.
|
||||
- 'pred_x_t': a list of prediction of x_t.
|
||||
- 'pred_x_0': a list of prediction of x_0.
|
||||
"""
|
||||
sample = noise
|
||||
t_seq = np.linspace(1, 0, steps + 1)
|
||||
t_seq = rescale_t * t_seq / (1 + (rescale_t - 1) * t_seq)
|
||||
t_pairs = list((t_seq[i], t_seq[i + 1]) for i in range(steps))
|
||||
ret = edict({"samples": None, "pred_x_t": [], "pred_x_0": []})
|
||||
for t, t_prev in tqdm(t_pairs, desc="Sampling", disable=not verbose):
|
||||
out = self.sample_once(model, sample, t, t_prev, cond, **kwargs)
|
||||
sample = out.pred_x_prev
|
||||
ret.pred_x_t.append(out.pred_x_prev)
|
||||
ret.pred_x_0.append(out.pred_x_0)
|
||||
ret.samples = sample
|
||||
return ret
|
||||
|
||||
|
||||
class FlowEulerCfgSampler(ClassifierFreeGuidanceSamplerMixin, FlowEulerSampler):
|
||||
"""
|
||||
Generate samples from a flow-matching model using Euler sampling with classifier-free guidance.
|
||||
"""
|
||||
@torch.no_grad()
|
||||
def sample(
|
||||
self,
|
||||
model,
|
||||
noise,
|
||||
cond,
|
||||
neg_cond,
|
||||
steps: int = 50,
|
||||
rescale_t: float = 1.0,
|
||||
cfg_strength: float = 3.0,
|
||||
verbose: bool = True,
|
||||
**kwargs
|
||||
):
|
||||
"""
|
||||
Generate samples from the model using Euler method.
|
||||
|
||||
Args:
|
||||
model: The model to sample from.
|
||||
noise: The initial noise tensor.
|
||||
cond: conditional information.
|
||||
neg_cond: negative conditional information.
|
||||
steps: The number of steps to sample.
|
||||
rescale_t: The rescale factor for t.
|
||||
cfg_strength: The strength of classifier-free guidance.
|
||||
verbose: If True, show a progress bar.
|
||||
**kwargs: Additional arguments for model_inference.
|
||||
|
||||
Returns:
|
||||
a dict containing the following
|
||||
- 'samples': the model samples.
|
||||
- 'pred_x_t': a list of prediction of x_t.
|
||||
- 'pred_x_0': a list of prediction of x_0.
|
||||
"""
|
||||
return super().sample(model, noise, cond, steps, rescale_t, verbose, neg_cond=neg_cond, cfg_strength=cfg_strength, **kwargs)
|
||||
|
||||
|
||||
class FlowEulerGuidanceIntervalSampler(GuidanceIntervalSamplerMixin, FlowEulerSampler):
|
||||
"""
|
||||
Generate samples from a flow-matching model using Euler sampling with classifier-free guidance and interval.
|
||||
"""
|
||||
@torch.no_grad()
|
||||
def sample(
|
||||
self,
|
||||
model,
|
||||
noise,
|
||||
cond,
|
||||
neg_cond,
|
||||
steps: int = 50,
|
||||
rescale_t: float = 1.0,
|
||||
cfg_strength: float = 3.0,
|
||||
cfg_interval: Tuple[float, float] = (0.0, 1.0),
|
||||
verbose: bool = True,
|
||||
**kwargs
|
||||
):
|
||||
"""
|
||||
Generate samples from the model using Euler method.
|
||||
|
||||
Args:
|
||||
model: The model to sample from.
|
||||
noise: The initial noise tensor.
|
||||
cond: conditional information.
|
||||
neg_cond: negative conditional information.
|
||||
steps: The number of steps to sample.
|
||||
rescale_t: The rescale factor for t.
|
||||
cfg_strength: The strength of classifier-free guidance.
|
||||
cfg_interval: The interval for classifier-free guidance.
|
||||
verbose: If True, show a progress bar.
|
||||
**kwargs: Additional arguments for model_inference.
|
||||
|
||||
Returns:
|
||||
a dict containing the following
|
||||
- 'samples': the model samples.
|
||||
- 'pred_x_t': a list of prediction of x_t.
|
||||
- 'pred_x_0': a list of prediction of x_0.
|
||||
"""
|
||||
return super().sample(model, noise, cond, steps, rescale_t, verbose, neg_cond=neg_cond, cfg_strength=cfg_strength, cfg_interval=cfg_interval, **kwargs)
|
||||
@@ -0,0 +1,15 @@
|
||||
from typing import *
|
||||
|
||||
|
||||
class GuidanceIntervalSamplerMixin:
|
||||
"""
|
||||
A mixin class for samplers that apply classifier-free guidance with interval.
|
||||
"""
|
||||
|
||||
def _inference_model(self, model, x_t, t, cond, neg_cond, cfg_strength, cfg_interval, **kwargs):
|
||||
if cfg_interval[0] <= t <= cfg_interval[1]:
|
||||
pred = super()._inference_model(model, x_t, t, cond, **kwargs)
|
||||
neg_pred = super()._inference_model(model, x_t, t, neg_cond, **kwargs)
|
||||
return (1 + cfg_strength) * pred - cfg_strength * neg_pred
|
||||
else:
|
||||
return super()._inference_model(model, x_t, t, cond, **kwargs)
|
||||
@@ -0,0 +1,283 @@
|
||||
from typing import *
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
import torch.nn.functional as F
|
||||
import numpy as np
|
||||
from tqdm import tqdm
|
||||
from easydict import EasyDict as edict
|
||||
from torchvision import transforms
|
||||
from PIL import Image
|
||||
from .base import Pipeline
|
||||
from . import samplers
|
||||
from ..modules import sparse as sp
|
||||
from ..representations import Gaussian, Strivec, MeshExtractResult
|
||||
|
||||
|
||||
class TrellisImageTo3DPipeline(Pipeline):
|
||||
"""
|
||||
Pipeline for inferring Trellis image-to-3D models.
|
||||
|
||||
Args:
|
||||
models (dict[str, nn.Module]): The models to use in the pipeline.
|
||||
sparse_structure_sampler (samplers.Sampler): The sampler for the sparse structure.
|
||||
slat_sampler (samplers.Sampler): The sampler for the structured latent.
|
||||
slat_normalization (dict): The normalization parameters for the structured latent.
|
||||
image_cond_model (str): The name of the image conditioning model.
|
||||
"""
|
||||
def __init__(
|
||||
self,
|
||||
models: dict[str, nn.Module] = None,
|
||||
sparse_structure_sampler: samplers.Sampler = None,
|
||||
slat_sampler: samplers.Sampler = None,
|
||||
slat_normalization: dict = None,
|
||||
image_cond_model: str = None,
|
||||
):
|
||||
if models is None:
|
||||
return
|
||||
super().__init__(models)
|
||||
self.sparse_structure_sampler = sparse_structure_sampler
|
||||
self.slat_sampler = slat_sampler
|
||||
self.sparse_structure_sampler_params = {}
|
||||
self.slat_sampler_params = {}
|
||||
self.slat_normalization = slat_normalization
|
||||
self.rembg_session = None
|
||||
self._init_image_cond_model(image_cond_model)
|
||||
|
||||
@staticmethod
|
||||
def from_pretrained(path: str) -> "TrellisImageTo3DPipeline":
|
||||
"""
|
||||
Load a pretrained model.
|
||||
|
||||
Args:
|
||||
path (str): The path to the model. Can be either local path or a Hugging Face repository.
|
||||
"""
|
||||
pipeline = super(TrellisImageTo3DPipeline, TrellisImageTo3DPipeline).from_pretrained(path)
|
||||
new_pipeline = TrellisImageTo3DPipeline()
|
||||
new_pipeline.__dict__ = pipeline.__dict__
|
||||
args = pipeline._pretrained_args
|
||||
|
||||
new_pipeline.sparse_structure_sampler = getattr(samplers, args['sparse_structure_sampler']['name'])(**args['sparse_structure_sampler']['args'])
|
||||
new_pipeline.sparse_structure_sampler_params = args['sparse_structure_sampler']['params']
|
||||
|
||||
new_pipeline.slat_sampler = getattr(samplers, args['slat_sampler']['name'])(**args['slat_sampler']['args'])
|
||||
new_pipeline.slat_sampler_params = args['slat_sampler']['params']
|
||||
|
||||
new_pipeline.slat_normalization = args['slat_normalization']
|
||||
|
||||
new_pipeline._init_image_cond_model(args['image_cond_model'])
|
||||
|
||||
return new_pipeline
|
||||
|
||||
def _init_image_cond_model(self, name: str):
|
||||
"""
|
||||
Initialize the image conditioning model.
|
||||
"""
|
||||
dinov2_model = torch.hub.load('facebookresearch/dinov2', name, pretrained=True)
|
||||
dinov2_model.eval()
|
||||
self.models['image_cond_model'] = dinov2_model
|
||||
transform = transforms.Compose([
|
||||
transforms.Normalize(mean=[0.485, 0.456, 0.406], std=[0.229, 0.224, 0.225]),
|
||||
])
|
||||
self.image_cond_model_transform = transform
|
||||
|
||||
def preprocess_image(self, input: Image.Image) -> Image.Image:
|
||||
"""
|
||||
Preprocess the input image.
|
||||
"""
|
||||
# if has alpha channel, use it directly; otherwise, remove background
|
||||
has_alpha = False
|
||||
if input.mode == 'RGBA':
|
||||
alpha = np.array(input)[:, :, 3]
|
||||
if not np.all(alpha == 255):
|
||||
has_alpha = True
|
||||
if has_alpha:
|
||||
output = input
|
||||
else:
|
||||
import rembg
|
||||
input = input.convert('RGB')
|
||||
max_size = max(input.size)
|
||||
scale = min(1, 1024 / max_size)
|
||||
if scale < 1:
|
||||
input = input.resize((int(input.width * scale), int(input.height * scale)), Image.Resampling.LANCZOS)
|
||||
if getattr(self, 'rembg_session', None) is None:
|
||||
self.rembg_session = rembg.new_session('u2net')
|
||||
output = rembg.remove(input, session=self.rembg_session)
|
||||
output_np = np.array(output)
|
||||
alpha = output_np[:, :, 3]
|
||||
bbox = np.argwhere(alpha > 0.8 * 255)
|
||||
bbox = np.min(bbox[:, 1]), np.min(bbox[:, 0]), np.max(bbox[:, 1]), np.max(bbox[:, 0])
|
||||
center = (bbox[0] + bbox[2]) / 2, (bbox[1] + bbox[3]) / 2
|
||||
size = max(bbox[2] - bbox[0], bbox[3] - bbox[1])
|
||||
size = int(size * 1.2)
|
||||
bbox = center[0] - size // 2, center[1] - size // 2, center[0] + size // 2, center[1] + size // 2
|
||||
output = output.crop(bbox) # type: ignore
|
||||
output = output.resize((518, 518), Image.Resampling.LANCZOS)
|
||||
output = np.array(output).astype(np.float32) / 255
|
||||
output = output[:, :, :3] * output[:, :, 3:4]
|
||||
output = Image.fromarray((output * 255).astype(np.uint8))
|
||||
return output
|
||||
|
||||
@torch.no_grad()
|
||||
def encode_image(self, image: Union[torch.Tensor, list[Image.Image]]) -> torch.Tensor:
|
||||
"""
|
||||
Encode the image.
|
||||
|
||||
Args:
|
||||
image (Union[torch.Tensor, list[Image.Image]]): The image to encode
|
||||
|
||||
Returns:
|
||||
torch.Tensor: The encoded features.
|
||||
"""
|
||||
if isinstance(image, torch.Tensor):
|
||||
assert image.ndim == 4, "Image tensor should be batched (B, C, H, W)"
|
||||
elif isinstance(image, list):
|
||||
assert all(isinstance(i, Image.Image) for i in image), "Image list should be list of PIL images"
|
||||
image = [i.resize((518, 518), Image.LANCZOS) for i in image]
|
||||
image = [np.array(i.convert('RGB')).astype(np.float32) / 255 for i in image]
|
||||
image = [torch.from_numpy(i).permute(2, 0, 1).float() for i in image]
|
||||
image = torch.stack(image).to(self.device)
|
||||
else:
|
||||
raise ValueError(f"Unsupported type of image: {type(image)}")
|
||||
|
||||
image = self.image_cond_model_transform(image).to(self.device)
|
||||
features = self.models['image_cond_model'](image, is_training=True)['x_prenorm']
|
||||
patchtokens = F.layer_norm(features, features.shape[-1:])
|
||||
return patchtokens
|
||||
|
||||
def get_cond(self, image: Union[torch.Tensor, list[Image.Image]]) -> dict:
|
||||
"""
|
||||
Get the conditioning information for the model.
|
||||
|
||||
Args:
|
||||
image (Union[torch.Tensor, list[Image.Image]]): The image prompts.
|
||||
|
||||
Returns:
|
||||
dict: The conditioning information
|
||||
"""
|
||||
cond = self.encode_image(image)
|
||||
neg_cond = torch.zeros_like(cond)
|
||||
return {
|
||||
'cond': cond,
|
||||
'neg_cond': neg_cond,
|
||||
}
|
||||
|
||||
def sample_sparse_structure(
|
||||
self,
|
||||
cond: dict,
|
||||
num_samples: int = 1,
|
||||
sampler_params: dict = {},
|
||||
) -> torch.Tensor:
|
||||
"""
|
||||
Sample sparse structures with the given conditioning.
|
||||
|
||||
Args:
|
||||
cond (dict): The conditioning information.
|
||||
num_samples (int): The number of samples to generate.
|
||||
sampler_params (dict): Additional parameters for the sampler.
|
||||
"""
|
||||
# Sample occupancy latent
|
||||
flow_model = self.models['sparse_structure_flow_model']
|
||||
reso = flow_model.resolution
|
||||
noise = torch.randn(num_samples, flow_model.in_channels, reso, reso, reso).to(self.device)
|
||||
sampler_params = {**self.sparse_structure_sampler_params, **sampler_params}
|
||||
z_s = self.sparse_structure_sampler.sample(
|
||||
flow_model,
|
||||
noise,
|
||||
**cond,
|
||||
**sampler_params,
|
||||
verbose=True
|
||||
).samples
|
||||
|
||||
# Decode occupancy latent
|
||||
decoder = self.models['sparse_structure_decoder']
|
||||
coords = torch.argwhere(decoder(z_s)>0)[:, [0, 2, 3, 4]].int()
|
||||
|
||||
return coords
|
||||
|
||||
def decode_slat(
|
||||
self,
|
||||
slat: sp.SparseTensor,
|
||||
formats: List[str] = ['mesh', 'gaussian', 'radiance_field'],
|
||||
) -> dict:
|
||||
"""
|
||||
Decode the structured latent.
|
||||
|
||||
Args:
|
||||
slat (sp.SparseTensor): The structured latent.
|
||||
formats (List[str]): The formats to decode the structured latent to.
|
||||
|
||||
Returns:
|
||||
dict: The decoded structured latent.
|
||||
"""
|
||||
ret = {}
|
||||
if 'mesh' in formats:
|
||||
ret['mesh'] = self.models['slat_decoder_mesh'](slat)
|
||||
if 'gaussian' in formats:
|
||||
ret['gaussian'] = self.models['slat_decoder_gs'](slat)
|
||||
if 'radiance_field' in formats:
|
||||
ret['radiance_field'] = self.models['slat_decoder_rf'](slat)
|
||||
return ret
|
||||
|
||||
def sample_slat(
|
||||
self,
|
||||
cond: dict,
|
||||
coords: torch.Tensor,
|
||||
sampler_params: dict = {},
|
||||
) -> sp.SparseTensor:
|
||||
"""
|
||||
Sample structured latent with the given conditioning.
|
||||
|
||||
Args:
|
||||
cond (dict): The conditioning information.
|
||||
coords (torch.Tensor): The coordinates of the sparse structure.
|
||||
sampler_params (dict): Additional parameters for the sampler.
|
||||
"""
|
||||
# Sample structured latent
|
||||
flow_model = self.models['slat_flow_model']
|
||||
noise = sp.SparseTensor(
|
||||
feats=torch.randn(coords.shape[0], flow_model.in_channels).to(self.device),
|
||||
coords=coords,
|
||||
)
|
||||
sampler_params = {**self.slat_sampler_params, **sampler_params}
|
||||
slat = self.slat_sampler.sample(
|
||||
flow_model,
|
||||
noise,
|
||||
**cond,
|
||||
**sampler_params,
|
||||
verbose=True
|
||||
).samples
|
||||
|
||||
std = torch.tensor(self.slat_normalization['std'])[None].to(slat.device)
|
||||
mean = torch.tensor(self.slat_normalization['mean'])[None].to(slat.device)
|
||||
slat = slat * std + mean
|
||||
|
||||
return slat
|
||||
|
||||
@torch.no_grad()
|
||||
def run(
|
||||
self,
|
||||
image: Image.Image,
|
||||
num_samples: int = 1,
|
||||
seed: int = 42,
|
||||
sparse_structure_sampler_params: dict = {},
|
||||
slat_sampler_params: dict = {},
|
||||
formats: List[str] = ['mesh', 'gaussian', 'radiance_field'],
|
||||
preprocess_image: bool = True,
|
||||
) -> dict:
|
||||
"""
|
||||
Run the pipeline.
|
||||
|
||||
Args:
|
||||
image (Image.Image): The image prompt.
|
||||
num_samples (int): The number of samples to generate.
|
||||
sparse_structure_sampler_params (dict): Additional parameters for the sparse structure sampler.
|
||||
slat_sampler_params (dict): Additional parameters for the structured latent sampler.
|
||||
preprocess_image (bool): Whether to preprocess the image.
|
||||
"""
|
||||
if preprocess_image:
|
||||
image = self.preprocess_image(image)
|
||||
cond = self.get_cond([image])
|
||||
torch.manual_seed(seed)
|
||||
coords = self.sample_sparse_structure(cond, num_samples, sparse_structure_sampler_params)
|
||||
slat = self.sample_slat(cond, coords, slat_sampler_params)
|
||||
return self.decode_slat(slat, formats)
|
||||
@@ -0,0 +1,31 @@
|
||||
import importlib
|
||||
|
||||
__attributes = {
|
||||
'OctreeRenderer': 'octree_renderer',
|
||||
'GaussianRenderer': 'gaussian_render',
|
||||
'MeshRenderer': 'mesh_renderer',
|
||||
}
|
||||
|
||||
__submodules = []
|
||||
|
||||
__all__ = list(__attributes.keys()) + __submodules
|
||||
|
||||
def __getattr__(name):
|
||||
if name not in globals():
|
||||
if name in __attributes:
|
||||
module_name = __attributes[name]
|
||||
module = importlib.import_module(f".{module_name}", __name__)
|
||||
globals()[name] = getattr(module, name)
|
||||
elif name in __submodules:
|
||||
module = importlib.import_module(f".{name}", __name__)
|
||||
globals()[name] = module
|
||||
else:
|
||||
raise AttributeError(f"module {__name__} has no attribute {name}")
|
||||
return globals()[name]
|
||||
|
||||
|
||||
# For Pylance
|
||||
if __name__ == '__main__':
|
||||
from .octree_renderer import OctreeRenderer
|
||||
from .gaussian_render import GaussianRenderer
|
||||
from .mesh_renderer import MeshRenderer
|
||||
@@ -0,0 +1,235 @@
|
||||
#
|
||||
# Copyright (C) 2023, Inria
|
||||
# GRAPHDECO research group, https://team.inria.fr/graphdeco
|
||||
# All rights reserved.
|
||||
#
|
||||
# This software is free for non-commercial, research and evaluation use
|
||||
# under the terms of the LICENSE.md file.
|
||||
#
|
||||
# For inquiries contact george.drettakis@inria.fr
|
||||
#
|
||||
|
||||
import torch
|
||||
import math
|
||||
from easydict import EasyDict as edict
|
||||
import numpy as np
|
||||
from ..representations.gaussian import Gaussian
|
||||
from .sh_utils import eval_sh
|
||||
import torch.nn.functional as F
|
||||
from easydict import EasyDict as edict
|
||||
|
||||
|
||||
def intrinsics_to_projection(
|
||||
intrinsics: torch.Tensor,
|
||||
near: float,
|
||||
far: float,
|
||||
) -> torch.Tensor:
|
||||
"""
|
||||
OpenCV intrinsics to OpenGL perspective matrix
|
||||
|
||||
Args:
|
||||
intrinsics (torch.Tensor): [3, 3] OpenCV intrinsics matrix
|
||||
near (float): near plane to clip
|
||||
far (float): far plane to clip
|
||||
Returns:
|
||||
(torch.Tensor): [4, 4] OpenGL perspective matrix
|
||||
"""
|
||||
fx, fy = intrinsics[0, 0], intrinsics[1, 1]
|
||||
cx, cy = intrinsics[0, 2], intrinsics[1, 2]
|
||||
ret = torch.zeros((4, 4), dtype=intrinsics.dtype, device=intrinsics.device)
|
||||
ret[0, 0] = 2 * fx
|
||||
ret[1, 1] = 2 * fy
|
||||
ret[0, 2] = 2 * cx - 1
|
||||
ret[1, 2] = - 2 * cy + 1
|
||||
ret[2, 2] = far / (far - near)
|
||||
ret[2, 3] = near * far / (near - far)
|
||||
ret[3, 2] = 1.
|
||||
return ret
|
||||
|
||||
|
||||
def render(viewpoint_camera, pc : Gaussian, pipe, bg_color : torch.Tensor, scaling_modifier = 1.0, override_color = None):
|
||||
"""
|
||||
Render the scene.
|
||||
|
||||
Background tensor (bg_color) must be on GPU!
|
||||
|
||||
Original code use the Differential Gaussian Rasterization from https://github.com/autonomousvision/mip-splatting/tree/main/submodules/diff-gaussian-rasterization
|
||||
Modified to use the GaussianRasterizer from https://github.com/ashawkey/diff-gaussian-rasterization
|
||||
Only changes are the inputs to GaussianRasterizationSettings: kernel_size and subpixel_offset are commented out.
|
||||
"""
|
||||
# lazy import
|
||||
if 'GaussianRasterizer' not in globals():
|
||||
from diff_gaussian_rasterization import GaussianRasterizer, GaussianRasterizationSettings
|
||||
|
||||
# Create zero tensor. We will use it to make pytorch return gradients of the 2D (screen-space) means
|
||||
screenspace_points = torch.zeros_like(pc.get_xyz, dtype=pc.get_xyz.dtype, requires_grad=True, device="cuda") + 0
|
||||
try:
|
||||
screenspace_points.retain_grad()
|
||||
except:
|
||||
pass
|
||||
# Set up rasterization configuration
|
||||
tanfovx = math.tan(viewpoint_camera.FoVx * 0.5)
|
||||
tanfovy = math.tan(viewpoint_camera.FoVy * 0.5)
|
||||
|
||||
#kernel_size = pipe.kernel_size
|
||||
#subpixel_offset = torch.zeros((int(viewpoint_camera.image_height), int(viewpoint_camera.image_width), 2), dtype=torch.float32, device="cuda")
|
||||
|
||||
raster_settings = GaussianRasterizationSettings(
|
||||
image_height=int(viewpoint_camera.image_height),
|
||||
image_width=int(viewpoint_camera.image_width),
|
||||
tanfovx=tanfovx,
|
||||
tanfovy=tanfovy,
|
||||
#kernel_size=kernel_size,
|
||||
#subpixel_offset=subpixel_offset,
|
||||
bg=bg_color,
|
||||
scale_modifier=scaling_modifier,
|
||||
viewmatrix=viewpoint_camera.world_view_transform,
|
||||
projmatrix=viewpoint_camera.full_proj_transform,
|
||||
sh_degree=pc.active_sh_degree,
|
||||
campos=viewpoint_camera.camera_center,
|
||||
prefiltered=False,
|
||||
debug=pipe.debug
|
||||
)
|
||||
|
||||
rasterizer = GaussianRasterizer(raster_settings=raster_settings)
|
||||
|
||||
means3D = pc.get_xyz
|
||||
means2D = screenspace_points
|
||||
opacity = pc.get_opacity
|
||||
|
||||
# If precomputed 3d covariance is provided, use it. If not, then it will be computed from
|
||||
# scaling / rotation by the rasterizer.
|
||||
scales = None
|
||||
rotations = None
|
||||
cov3D_precomp = None
|
||||
if pipe.compute_cov3D_python:
|
||||
cov3D_precomp = pc.get_covariance(scaling_modifier)
|
||||
else:
|
||||
scales = pc.get_scaling
|
||||
rotations = pc.get_rotation
|
||||
|
||||
# If precomputed colors are provided, use them. Otherwise, if it is desired to precompute colors
|
||||
# from SHs in Python, do it. If not, then SH -> RGB conversion will be done by rasterizer.
|
||||
shs = None
|
||||
colors_precomp = None
|
||||
if override_color is None:
|
||||
if pipe.convert_SHs_python:
|
||||
shs_view = pc.get_features.transpose(1, 2).view(-1, 3, (pc.max_sh_degree+1)**2)
|
||||
dir_pp = (pc.get_xyz - viewpoint_camera.camera_center.repeat(pc.get_features.shape[0], 1))
|
||||
dir_pp_normalized = dir_pp/dir_pp.norm(dim=1, keepdim=True)
|
||||
sh2rgb = eval_sh(pc.active_sh_degree, shs_view, dir_pp_normalized)
|
||||
colors_precomp = torch.clamp_min(sh2rgb + 0.5, 0.0)
|
||||
else:
|
||||
shs = pc.get_features
|
||||
else:
|
||||
colors_precomp = override_color
|
||||
|
||||
# Rasterize visible Gaussians to image, obtain their radii (on screen).
|
||||
rendered_image, radii, rendered_depth, rendered_alpha = rasterizer(
|
||||
means3D = means3D,
|
||||
means2D = means2D,
|
||||
shs = shs,
|
||||
colors_precomp = colors_precomp,
|
||||
opacities = opacity,
|
||||
scales = scales,
|
||||
rotations = rotations,
|
||||
cov3D_precomp = cov3D_precomp
|
||||
)
|
||||
|
||||
# Those Gaussians that were frustum culled or had a radius of 0 were not visible.
|
||||
# They will be excluded from value updates used in the splitting criteria.
|
||||
return edict({"render": rendered_image,
|
||||
"viewspace_points": screenspace_points,
|
||||
"visibility_filter" : radii > 0,
|
||||
"radii": radii})
|
||||
|
||||
|
||||
class GaussianRenderer:
|
||||
"""
|
||||
Renderer for the Voxel representation.
|
||||
|
||||
Args:
|
||||
rendering_options (dict): Rendering options.
|
||||
"""
|
||||
|
||||
def __init__(self, rendering_options={}) -> None:
|
||||
self.pipe = edict({
|
||||
"kernel_size": 0.1,
|
||||
"convert_SHs_python": False,
|
||||
"compute_cov3D_python": False,
|
||||
"scale_modifier": 1.0,
|
||||
"debug": False
|
||||
})
|
||||
self.rendering_options = edict({
|
||||
"resolution": None,
|
||||
"near": None,
|
||||
"far": None,
|
||||
"ssaa": 1,
|
||||
"bg_color": 'random',
|
||||
})
|
||||
self.rendering_options.update(rendering_options)
|
||||
self.bg_color = None
|
||||
|
||||
def render(
|
||||
self,
|
||||
gausssian: Gaussian,
|
||||
extrinsics: torch.Tensor,
|
||||
intrinsics: torch.Tensor,
|
||||
colors_overwrite: torch.Tensor = None
|
||||
) -> edict:
|
||||
"""
|
||||
Render the gausssian.
|
||||
|
||||
Args:
|
||||
gaussian : gaussianmodule
|
||||
extrinsics (torch.Tensor): (4, 4) camera extrinsics
|
||||
intrinsics (torch.Tensor): (3, 3) camera intrinsics
|
||||
colors_overwrite (torch.Tensor): (N, 3) override color
|
||||
|
||||
Returns:
|
||||
edict containing:
|
||||
color (torch.Tensor): (3, H, W) rendered color image
|
||||
"""
|
||||
resolution = self.rendering_options["resolution"]
|
||||
near = self.rendering_options["near"]
|
||||
far = self.rendering_options["far"]
|
||||
ssaa = self.rendering_options["ssaa"]
|
||||
|
||||
if self.rendering_options["bg_color"] == 'random':
|
||||
self.bg_color = torch.zeros(3, dtype=torch.float32, device="cuda")
|
||||
if np.random.rand() < 0.5:
|
||||
self.bg_color += 1
|
||||
else:
|
||||
self.bg_color = torch.tensor(self.rendering_options["bg_color"], dtype=torch.float32, device="cuda")
|
||||
|
||||
view = extrinsics
|
||||
perspective = intrinsics_to_projection(intrinsics, near, far)
|
||||
camera = torch.inverse(view)[:3, 3]
|
||||
focalx = intrinsics[0, 0]
|
||||
focaly = intrinsics[1, 1]
|
||||
fovx = 2 * torch.atan(0.5 / focalx)
|
||||
fovy = 2 * torch.atan(0.5 / focaly)
|
||||
|
||||
camera_dict = edict({
|
||||
"image_height": resolution * ssaa,
|
||||
"image_width": resolution * ssaa,
|
||||
"FoVx": fovx,
|
||||
"FoVy": fovy,
|
||||
"znear": near,
|
||||
"zfar": far,
|
||||
"world_view_transform": view.T.contiguous(),
|
||||
"projection_matrix": perspective.T.contiguous(),
|
||||
"full_proj_transform": (perspective @ view).T.contiguous(),
|
||||
"camera_center": camera
|
||||
})
|
||||
|
||||
# Render
|
||||
render_ret = render(camera_dict, gausssian, self.pipe, self.bg_color, override_color=colors_overwrite, scaling_modifier=self.pipe.scale_modifier)
|
||||
|
||||
if ssaa > 1:
|
||||
render_ret.render = F.interpolate(render_ret.render[None], size=(resolution, resolution), mode='bilinear', align_corners=False, antialias=True).squeeze()
|
||||
|
||||
ret = edict({
|
||||
'color': render_ret['render']
|
||||
})
|
||||
return ret
|
||||
@@ -0,0 +1,133 @@
|
||||
import torch
|
||||
import nvdiffrast.torch as dr
|
||||
from easydict import EasyDict as edict
|
||||
from ..representations.mesh import MeshExtractResult
|
||||
import torch.nn.functional as F
|
||||
|
||||
|
||||
def intrinsics_to_projection(
|
||||
intrinsics: torch.Tensor,
|
||||
near: float,
|
||||
far: float,
|
||||
) -> torch.Tensor:
|
||||
"""
|
||||
OpenCV intrinsics to OpenGL perspective matrix
|
||||
|
||||
Args:
|
||||
intrinsics (torch.Tensor): [3, 3] OpenCV intrinsics matrix
|
||||
near (float): near plane to clip
|
||||
far (float): far plane to clip
|
||||
Returns:
|
||||
(torch.Tensor): [4, 4] OpenGL perspective matrix
|
||||
"""
|
||||
fx, fy = intrinsics[0, 0], intrinsics[1, 1]
|
||||
cx, cy = intrinsics[0, 2], intrinsics[1, 2]
|
||||
ret = torch.zeros((4, 4), dtype=intrinsics.dtype, device=intrinsics.device)
|
||||
ret[0, 0] = 2 * fx
|
||||
ret[1, 1] = 2 * fy
|
||||
ret[0, 2] = 2 * cx - 1
|
||||
ret[1, 2] = - 2 * cy + 1
|
||||
ret[2, 2] = far / (far - near)
|
||||
ret[2, 3] = near * far / (near - far)
|
||||
ret[3, 2] = 1.
|
||||
return ret
|
||||
|
||||
|
||||
class MeshRenderer:
|
||||
"""
|
||||
Renderer for the Mesh representation.
|
||||
|
||||
Args:
|
||||
rendering_options (dict): Rendering options.
|
||||
glctx (nvdiffrast.torch.RasterizeGLContext): RasterizeGLContext object for CUDA/OpenGL interop.
|
||||
"""
|
||||
def __init__(self, rendering_options={}, device='cuda'):
|
||||
self.rendering_options = edict({
|
||||
"resolution": None,
|
||||
"near": None,
|
||||
"far": None,
|
||||
"ssaa": 1
|
||||
})
|
||||
self.rendering_options.update(rendering_options)
|
||||
self.glctx = dr.RasterizeCudaContext(device=device)
|
||||
self.device=device
|
||||
|
||||
def render(
|
||||
self,
|
||||
mesh : MeshExtractResult,
|
||||
extrinsics: torch.Tensor,
|
||||
intrinsics: torch.Tensor,
|
||||
return_types = ["mask", "normal", "depth"]
|
||||
) -> edict:
|
||||
"""
|
||||
Render the mesh.
|
||||
|
||||
Args:
|
||||
mesh : meshmodel
|
||||
extrinsics (torch.Tensor): (4, 4) camera extrinsics
|
||||
intrinsics (torch.Tensor): (3, 3) camera intrinsics
|
||||
return_types (list): list of return types, can be "mask", "depth", "normal_map", "normal", "color"
|
||||
|
||||
Returns:
|
||||
edict based on return_types containing:
|
||||
color (torch.Tensor): [3, H, W] rendered color image
|
||||
depth (torch.Tensor): [H, W] rendered depth image
|
||||
normal (torch.Tensor): [3, H, W] rendered normal image
|
||||
normal_map (torch.Tensor): [3, H, W] rendered normal map image
|
||||
mask (torch.Tensor): [H, W] rendered mask image
|
||||
"""
|
||||
resolution = self.rendering_options["resolution"]
|
||||
near = self.rendering_options["near"]
|
||||
far = self.rendering_options["far"]
|
||||
ssaa = self.rendering_options["ssaa"]
|
||||
|
||||
if mesh.vertices.shape[0] == 0 or mesh.faces.shape[0] == 0:
|
||||
default_img = torch.zeros((1, resolution, resolution, 3), dtype=torch.float32, device=self.device)
|
||||
ret_dict = {k : default_img if k in ['normal', 'normal_map', 'color'] else default_img[..., :1] for k in return_types}
|
||||
return ret_dict
|
||||
|
||||
perspective = intrinsics_to_projection(intrinsics, near, far)
|
||||
|
||||
RT = extrinsics.unsqueeze(0)
|
||||
full_proj = (perspective @ extrinsics).unsqueeze(0)
|
||||
|
||||
vertices = mesh.vertices.unsqueeze(0)
|
||||
|
||||
vertices_homo = torch.cat([vertices, torch.ones_like(vertices[..., :1])], dim=-1)
|
||||
vertices_camera = torch.bmm(vertices_homo, RT.transpose(-1, -2))
|
||||
vertices_clip = torch.bmm(vertices_homo, full_proj.transpose(-1, -2))
|
||||
faces_int = mesh.faces.int()
|
||||
rast, _ = dr.rasterize(
|
||||
self.glctx, vertices_clip, faces_int, (resolution * ssaa, resolution * ssaa))
|
||||
|
||||
out_dict = edict()
|
||||
for type in return_types:
|
||||
img = None
|
||||
if type == "mask" :
|
||||
img = dr.antialias((rast[..., -1:] > 0).float(), rast, vertices_clip, faces_int)
|
||||
elif type == "depth":
|
||||
img = dr.interpolate(vertices_camera[..., 2:3].contiguous(), rast, faces_int)[0]
|
||||
img = dr.antialias(img, rast, vertices_clip, faces_int)
|
||||
elif type == "normal" :
|
||||
img = dr.interpolate(
|
||||
mesh.face_normal.reshape(1, -1, 3), rast,
|
||||
torch.arange(mesh.faces.shape[0] * 3, device=self.device, dtype=torch.int).reshape(-1, 3)
|
||||
)[0]
|
||||
img = dr.antialias(img, rast, vertices_clip, faces_int)
|
||||
# normalize norm pictures
|
||||
img = (img + 1) / 2
|
||||
elif type == "normal_map" :
|
||||
img = dr.interpolate(mesh.vertex_attrs[:, 3:].contiguous(), rast, faces_int)[0]
|
||||
img = dr.antialias(img, rast, vertices_clip, faces_int)
|
||||
elif type == "color" :
|
||||
img = dr.interpolate(mesh.vertex_attrs[:, :3].contiguous(), rast, faces_int)[0]
|
||||
img = dr.antialias(img, rast, vertices_clip, faces_int)
|
||||
|
||||
if ssaa > 1:
|
||||
img = F.interpolate(img.permute(0, 3, 1, 2), (resolution, resolution), mode='bilinear', align_corners=False, antialias=True)
|
||||
img = img.squeeze()
|
||||
else:
|
||||
img = img.permute(0, 3, 1, 2).squeeze()
|
||||
out_dict[type] = img
|
||||
|
||||
return out_dict
|
||||
@@ -0,0 +1,300 @@
|
||||
import numpy as np
|
||||
import torch
|
||||
import torch.nn.functional as F
|
||||
import math
|
||||
import cv2
|
||||
from scipy.stats import qmc
|
||||
from easydict import EasyDict as edict
|
||||
from ..representations.octree import DfsOctree
|
||||
|
||||
|
||||
def intrinsics_to_projection(
|
||||
intrinsics: torch.Tensor,
|
||||
near: float,
|
||||
far: float,
|
||||
) -> torch.Tensor:
|
||||
"""
|
||||
OpenCV intrinsics to OpenGL perspective matrix
|
||||
|
||||
Args:
|
||||
intrinsics (torch.Tensor): [3, 3] OpenCV intrinsics matrix
|
||||
near (float): near plane to clip
|
||||
far (float): far plane to clip
|
||||
Returns:
|
||||
(torch.Tensor): [4, 4] OpenGL perspective matrix
|
||||
"""
|
||||
fx, fy = intrinsics[0, 0], intrinsics[1, 1]
|
||||
cx, cy = intrinsics[0, 2], intrinsics[1, 2]
|
||||
ret = torch.zeros((4, 4), dtype=intrinsics.dtype, device=intrinsics.device)
|
||||
ret[0, 0] = 2 * fx
|
||||
ret[1, 1] = 2 * fy
|
||||
ret[0, 2] = 2 * cx - 1
|
||||
ret[1, 2] = - 2 * cy + 1
|
||||
ret[2, 2] = far / (far - near)
|
||||
ret[2, 3] = near * far / (near - far)
|
||||
ret[3, 2] = 1.
|
||||
return ret
|
||||
|
||||
|
||||
def render(viewpoint_camera, octree : DfsOctree, pipe, bg_color : torch.Tensor, scaling_modifier = 1.0, used_rank = None, colors_overwrite = None, aux=None, halton_sampler=None):
|
||||
"""
|
||||
Render the scene.
|
||||
|
||||
Background tensor (bg_color) must be on GPU!
|
||||
"""
|
||||
# lazy import
|
||||
if 'OctreeTrivecRasterizer' not in globals():
|
||||
from diffoctreerast import OctreeVoxelRasterizer, OctreeGaussianRasterizer, OctreeTrivecRasterizer, OctreeDecoupolyRasterizer
|
||||
|
||||
# Set up rasterization configuration
|
||||
tanfovx = math.tan(viewpoint_camera.FoVx * 0.5)
|
||||
tanfovy = math.tan(viewpoint_camera.FoVy * 0.5)
|
||||
|
||||
raster_settings = edict(
|
||||
image_height=int(viewpoint_camera.image_height),
|
||||
image_width=int(viewpoint_camera.image_width),
|
||||
tanfovx=tanfovx,
|
||||
tanfovy=tanfovy,
|
||||
bg=bg_color,
|
||||
scale_modifier=scaling_modifier,
|
||||
viewmatrix=viewpoint_camera.world_view_transform,
|
||||
projmatrix=viewpoint_camera.full_proj_transform,
|
||||
sh_degree=octree.active_sh_degree,
|
||||
campos=viewpoint_camera.camera_center,
|
||||
with_distloss=pipe.with_distloss,
|
||||
jitter=pipe.jitter,
|
||||
debug=pipe.debug,
|
||||
)
|
||||
|
||||
positions = octree.get_xyz
|
||||
if octree.primitive == "voxel":
|
||||
densities = octree.get_density
|
||||
elif octree.primitive == "gaussian":
|
||||
opacities = octree.get_opacity
|
||||
elif octree.primitive == "trivec":
|
||||
trivecs = octree.get_trivec
|
||||
densities = octree.get_density
|
||||
raster_settings.density_shift = octree.density_shift
|
||||
elif octree.primitive == "decoupoly":
|
||||
decoupolys_V, decoupolys_g = octree.get_decoupoly
|
||||
densities = octree.get_density
|
||||
raster_settings.density_shift = octree.density_shift
|
||||
else:
|
||||
raise ValueError(f"Unknown primitive {octree.primitive}")
|
||||
depths = octree.get_depth
|
||||
|
||||
# If precomputed colors are provided, use them. Otherwise, if it is desired to precompute colors
|
||||
# from SHs in Python, do it. If not, then SH -> RGB conversion will be done by rasterizer.
|
||||
colors_precomp = None
|
||||
shs = octree.get_features
|
||||
if octree.primitive in ["voxel", "gaussian"] and colors_overwrite is not None:
|
||||
colors_precomp = colors_overwrite
|
||||
shs = None
|
||||
|
||||
ret = edict()
|
||||
|
||||
if octree.primitive == "voxel":
|
||||
renderer = OctreeVoxelRasterizer(raster_settings=raster_settings)
|
||||
rgb, depth, alpha, distloss = renderer(
|
||||
positions = positions,
|
||||
densities = densities,
|
||||
shs = shs,
|
||||
colors_precomp = colors_precomp,
|
||||
depths = depths,
|
||||
aabb = octree.aabb,
|
||||
aux = aux,
|
||||
)
|
||||
ret['rgb'] = rgb
|
||||
ret['depth'] = depth
|
||||
ret['alpha'] = alpha
|
||||
ret['distloss'] = distloss
|
||||
elif octree.primitive == "gaussian":
|
||||
renderer = OctreeGaussianRasterizer(raster_settings=raster_settings)
|
||||
rgb, depth, alpha = renderer(
|
||||
positions = positions,
|
||||
opacities = opacities,
|
||||
shs = shs,
|
||||
colors_precomp = colors_precomp,
|
||||
depths = depths,
|
||||
aabb = octree.aabb,
|
||||
aux = aux,
|
||||
)
|
||||
ret['rgb'] = rgb
|
||||
ret['depth'] = depth
|
||||
ret['alpha'] = alpha
|
||||
elif octree.primitive == "trivec":
|
||||
raster_settings.used_rank = used_rank if used_rank is not None else trivecs.shape[1]
|
||||
renderer = OctreeTrivecRasterizer(raster_settings=raster_settings)
|
||||
rgb, depth, alpha, percent_depth = renderer(
|
||||
positions = positions,
|
||||
trivecs = trivecs,
|
||||
densities = densities,
|
||||
shs = shs,
|
||||
colors_precomp = colors_precomp,
|
||||
colors_overwrite = colors_overwrite,
|
||||
depths = depths,
|
||||
aabb = octree.aabb,
|
||||
aux = aux,
|
||||
halton_sampler = halton_sampler,
|
||||
)
|
||||
ret['percent_depth'] = percent_depth
|
||||
ret['rgb'] = rgb
|
||||
ret['depth'] = depth
|
||||
ret['alpha'] = alpha
|
||||
elif octree.primitive == "decoupoly":
|
||||
raster_settings.used_rank = used_rank if used_rank is not None else decoupolys_V.shape[1]
|
||||
renderer = OctreeDecoupolyRasterizer(raster_settings=raster_settings)
|
||||
rgb, depth, alpha = renderer(
|
||||
positions = positions,
|
||||
decoupolys_V = decoupolys_V,
|
||||
decoupolys_g = decoupolys_g,
|
||||
densities = densities,
|
||||
shs = shs,
|
||||
colors_precomp = colors_precomp,
|
||||
depths = depths,
|
||||
aabb = octree.aabb,
|
||||
aux = aux,
|
||||
)
|
||||
ret['rgb'] = rgb
|
||||
ret['depth'] = depth
|
||||
ret['alpha'] = alpha
|
||||
|
||||
return ret
|
||||
|
||||
|
||||
class OctreeRenderer:
|
||||
"""
|
||||
Renderer for the Voxel representation.
|
||||
|
||||
Args:
|
||||
rendering_options (dict): Rendering options.
|
||||
"""
|
||||
|
||||
def __init__(self, rendering_options={}) -> None:
|
||||
try:
|
||||
import diffoctreerast
|
||||
except ImportError:
|
||||
print("\033[93m[WARNING] diffoctreerast is not installed. The renderer will be disabled.\033[0m")
|
||||
self.unsupported = True
|
||||
else:
|
||||
self.unsupported = False
|
||||
|
||||
self.pipe = edict({
|
||||
"with_distloss": False,
|
||||
"with_aux": False,
|
||||
"scale_modifier": 1.0,
|
||||
"used_rank": None,
|
||||
"jitter": False,
|
||||
"debug": False,
|
||||
})
|
||||
self.rendering_options = edict({
|
||||
"resolution": None,
|
||||
"near": None,
|
||||
"far": None,
|
||||
"ssaa": 1,
|
||||
"bg_color": 'random',
|
||||
})
|
||||
self.halton_sampler = qmc.Halton(2, scramble=False)
|
||||
self.rendering_options.update(rendering_options)
|
||||
self.bg_color = None
|
||||
|
||||
def render(
|
||||
self,
|
||||
octree: DfsOctree,
|
||||
extrinsics: torch.Tensor,
|
||||
intrinsics: torch.Tensor,
|
||||
colors_overwrite: torch.Tensor = None,
|
||||
) -> edict:
|
||||
"""
|
||||
Render the octree.
|
||||
|
||||
Args:
|
||||
octree (Octree): octree
|
||||
extrinsics (torch.Tensor): (4, 4) camera extrinsics
|
||||
intrinsics (torch.Tensor): (3, 3) camera intrinsics
|
||||
colors_overwrite (torch.Tensor): (N, 3) override color
|
||||
|
||||
Returns:
|
||||
edict containing:
|
||||
color (torch.Tensor): (3, H, W) rendered color
|
||||
depth (torch.Tensor): (H, W) rendered depth
|
||||
alpha (torch.Tensor): (H, W) rendered alpha
|
||||
distloss (Optional[torch.Tensor]): (H, W) rendered distance loss
|
||||
percent_depth (Optional[torch.Tensor]): (H, W) rendered percent depth
|
||||
aux (Optional[edict]): auxiliary tensors
|
||||
"""
|
||||
resolution = self.rendering_options["resolution"]
|
||||
near = self.rendering_options["near"]
|
||||
far = self.rendering_options["far"]
|
||||
ssaa = self.rendering_options["ssaa"]
|
||||
|
||||
if self.unsupported:
|
||||
image = np.zeros((512, 512, 3), dtype=np.uint8)
|
||||
text_bbox = cv2.getTextSize("Unsupported", cv2.FONT_HERSHEY_SIMPLEX, 2, 3)[0]
|
||||
origin = (512 - text_bbox[0]) // 2, (512 - text_bbox[1]) // 2
|
||||
image = cv2.putText(image, "Unsupported", origin, cv2.FONT_HERSHEY_SIMPLEX, 2, (255, 255, 255), 3, cv2.LINE_AA)
|
||||
return {
|
||||
'color': torch.tensor(image, dtype=torch.float32).permute(2, 0, 1) / 255,
|
||||
}
|
||||
|
||||
if self.rendering_options["bg_color"] == 'random':
|
||||
self.bg_color = torch.zeros(3, dtype=torch.float32, device="cuda")
|
||||
if np.random.rand() < 0.5:
|
||||
self.bg_color += 1
|
||||
else:
|
||||
self.bg_color = torch.tensor(self.rendering_options["bg_color"], dtype=torch.float32, device="cuda")
|
||||
|
||||
if self.pipe["with_aux"]:
|
||||
aux = {
|
||||
'grad_color2': torch.zeros((octree.num_leaf_nodes, 3), dtype=torch.float32, requires_grad=True, device="cuda") + 0,
|
||||
'contributions': torch.zeros((octree.num_leaf_nodes, 1), dtype=torch.float32, requires_grad=True, device="cuda") + 0,
|
||||
}
|
||||
for k in aux.keys():
|
||||
aux[k].requires_grad_()
|
||||
aux[k].retain_grad()
|
||||
else:
|
||||
aux = None
|
||||
|
||||
view = extrinsics
|
||||
perspective = intrinsics_to_projection(intrinsics, near, far)
|
||||
camera = torch.inverse(view)[:3, 3]
|
||||
focalx = intrinsics[0, 0]
|
||||
focaly = intrinsics[1, 1]
|
||||
fovx = 2 * torch.atan(0.5 / focalx)
|
||||
fovy = 2 * torch.atan(0.5 / focaly)
|
||||
|
||||
camera_dict = edict({
|
||||
"image_height": resolution * ssaa,
|
||||
"image_width": resolution * ssaa,
|
||||
"FoVx": fovx,
|
||||
"FoVy": fovy,
|
||||
"znear": near,
|
||||
"zfar": far,
|
||||
"world_view_transform": view.T.contiguous(),
|
||||
"projection_matrix": perspective.T.contiguous(),
|
||||
"full_proj_transform": (perspective @ view).T.contiguous(),
|
||||
"camera_center": camera
|
||||
})
|
||||
|
||||
# Render
|
||||
render_ret = render(camera_dict, octree, self.pipe, self.bg_color, aux=aux, colors_overwrite=colors_overwrite, scaling_modifier=self.pipe.scale_modifier, used_rank=self.pipe.used_rank, halton_sampler=self.halton_sampler)
|
||||
|
||||
if ssaa > 1:
|
||||
render_ret.rgb = F.interpolate(render_ret.rgb[None], size=(resolution, resolution), mode='bilinear', align_corners=False, antialias=True).squeeze()
|
||||
render_ret.depth = F.interpolate(render_ret.depth[None, None], size=(resolution, resolution), mode='bilinear', align_corners=False, antialias=True).squeeze()
|
||||
render_ret.alpha = F.interpolate(render_ret.alpha[None, None], size=(resolution, resolution), mode='bilinear', align_corners=False, antialias=True).squeeze()
|
||||
if hasattr(render_ret, 'percent_depth'):
|
||||
render_ret.percent_depth = F.interpolate(render_ret.percent_depth[None, None], size=(resolution, resolution), mode='bilinear', align_corners=False, antialias=True).squeeze()
|
||||
|
||||
ret = edict({
|
||||
'color': render_ret.rgb,
|
||||
'depth': render_ret.depth,
|
||||
'alpha': render_ret.alpha,
|
||||
})
|
||||
if self.pipe["with_distloss"] and 'distloss' in render_ret:
|
||||
ret['distloss'] = render_ret.distloss
|
||||
if self.pipe["with_aux"]:
|
||||
ret['aux'] = aux
|
||||
if hasattr(render_ret, 'percent_depth'):
|
||||
ret['percent_depth'] = render_ret.percent_depth
|
||||
return ret
|
||||
@@ -0,0 +1,118 @@
|
||||
# Copyright 2021 The PlenOctree Authors.
|
||||
# Redistribution and use in source and binary forms, with or without
|
||||
# modification, are permitted provided that the following conditions are met:
|
||||
#
|
||||
# 1. Redistributions of source code must retain the above copyright notice,
|
||||
# this list of conditions and the following disclaimer.
|
||||
#
|
||||
# 2. Redistributions in binary form must reproduce the above copyright notice,
|
||||
# this list of conditions and the following disclaimer in the documentation
|
||||
# and/or other materials provided with the distribution.
|
||||
#
|
||||
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
|
||||
# AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
||||
# IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
|
||||
# ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
|
||||
# LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
|
||||
# CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
|
||||
# SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
|
||||
# INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
|
||||
# CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
||||
# ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
||||
# POSSIBILITY OF SUCH DAMAGE.
|
||||
|
||||
import torch
|
||||
|
||||
C0 = 0.28209479177387814
|
||||
C1 = 0.4886025119029199
|
||||
C2 = [
|
||||
1.0925484305920792,
|
||||
-1.0925484305920792,
|
||||
0.31539156525252005,
|
||||
-1.0925484305920792,
|
||||
0.5462742152960396
|
||||
]
|
||||
C3 = [
|
||||
-0.5900435899266435,
|
||||
2.890611442640554,
|
||||
-0.4570457994644658,
|
||||
0.3731763325901154,
|
||||
-0.4570457994644658,
|
||||
1.445305721320277,
|
||||
-0.5900435899266435
|
||||
]
|
||||
C4 = [
|
||||
2.5033429417967046,
|
||||
-1.7701307697799304,
|
||||
0.9461746957575601,
|
||||
-0.6690465435572892,
|
||||
0.10578554691520431,
|
||||
-0.6690465435572892,
|
||||
0.47308734787878004,
|
||||
-1.7701307697799304,
|
||||
0.6258357354491761,
|
||||
]
|
||||
|
||||
|
||||
def eval_sh(deg, sh, dirs):
|
||||
"""
|
||||
Evaluate spherical harmonics at unit directions
|
||||
using hardcoded SH polynomials.
|
||||
Works with torch/np/jnp.
|
||||
... Can be 0 or more batch dimensions.
|
||||
Args:
|
||||
deg: int SH deg. Currently, 0-3 supported
|
||||
sh: jnp.ndarray SH coeffs [..., C, (deg + 1) ** 2]
|
||||
dirs: jnp.ndarray unit directions [..., 3]
|
||||
Returns:
|
||||
[..., C]
|
||||
"""
|
||||
assert deg <= 4 and deg >= 0
|
||||
coeff = (deg + 1) ** 2
|
||||
assert sh.shape[-1] >= coeff
|
||||
|
||||
result = C0 * sh[..., 0]
|
||||
if deg > 0:
|
||||
x, y, z = dirs[..., 0:1], dirs[..., 1:2], dirs[..., 2:3]
|
||||
result = (result -
|
||||
C1 * y * sh[..., 1] +
|
||||
C1 * z * sh[..., 2] -
|
||||
C1 * x * sh[..., 3])
|
||||
|
||||
if deg > 1:
|
||||
xx, yy, zz = x * x, y * y, z * z
|
||||
xy, yz, xz = x * y, y * z, x * z
|
||||
result = (result +
|
||||
C2[0] * xy * sh[..., 4] +
|
||||
C2[1] * yz * sh[..., 5] +
|
||||
C2[2] * (2.0 * zz - xx - yy) * sh[..., 6] +
|
||||
C2[3] * xz * sh[..., 7] +
|
||||
C2[4] * (xx - yy) * sh[..., 8])
|
||||
|
||||
if deg > 2:
|
||||
result = (result +
|
||||
C3[0] * y * (3 * xx - yy) * sh[..., 9] +
|
||||
C3[1] * xy * z * sh[..., 10] +
|
||||
C3[2] * y * (4 * zz - xx - yy)* sh[..., 11] +
|
||||
C3[3] * z * (2 * zz - 3 * xx - 3 * yy) * sh[..., 12] +
|
||||
C3[4] * x * (4 * zz - xx - yy) * sh[..., 13] +
|
||||
C3[5] * z * (xx - yy) * sh[..., 14] +
|
||||
C3[6] * x * (xx - 3 * yy) * sh[..., 15])
|
||||
|
||||
if deg > 3:
|
||||
result = (result + C4[0] * xy * (xx - yy) * sh[..., 16] +
|
||||
C4[1] * yz * (3 * xx - yy) * sh[..., 17] +
|
||||
C4[2] * xy * (7 * zz - 1) * sh[..., 18] +
|
||||
C4[3] * yz * (7 * zz - 3) * sh[..., 19] +
|
||||
C4[4] * (zz * (35 * zz - 30) + 3) * sh[..., 20] +
|
||||
C4[5] * xz * (7 * zz - 3) * sh[..., 21] +
|
||||
C4[6] * (xx - yy) * (7 * zz - 1) * sh[..., 22] +
|
||||
C4[7] * xz * (xx - 3 * yy) * sh[..., 23] +
|
||||
C4[8] * (xx * (xx - 3 * yy) - yy * (3 * xx - yy)) * sh[..., 24])
|
||||
return result
|
||||
|
||||
def RGB2SH(rgb):
|
||||
return (rgb - 0.5) / C0
|
||||
|
||||
def SH2RGB(sh):
|
||||
return sh * C0 + 0.5
|
||||
@@ -0,0 +1,4 @@
|
||||
from .radiance_field import Strivec
|
||||
from .octree import DfsOctree as Octree
|
||||
from .gaussian import Gaussian
|
||||
from .mesh import MeshExtractResult
|
||||
@@ -0,0 +1 @@
|
||||
from .gaussian_model import Gaussian
|
||||
@@ -0,0 +1,194 @@
|
||||
import torch
|
||||
import numpy as np
|
||||
from plyfile import PlyData, PlyElement
|
||||
from .general_utils import inverse_sigmoid, strip_symmetric, build_scaling_rotation
|
||||
|
||||
|
||||
class Gaussian:
|
||||
def __init__(
|
||||
self,
|
||||
aabb : list,
|
||||
sh_degree : int = 0,
|
||||
mininum_kernel_size : float = 0.0,
|
||||
scaling_bias : float = 0.01,
|
||||
opacity_bias : float = 0.1,
|
||||
scaling_activation : str = "exp",
|
||||
device='cuda'
|
||||
):
|
||||
self.init_params = {
|
||||
'aabb': aabb,
|
||||
'sh_degree': sh_degree,
|
||||
'mininum_kernel_size': mininum_kernel_size,
|
||||
'scaling_bias': scaling_bias,
|
||||
'opacity_bias': opacity_bias,
|
||||
'scaling_activation': scaling_activation,
|
||||
}
|
||||
|
||||
self.sh_degree = sh_degree
|
||||
self.active_sh_degree = sh_degree
|
||||
self.mininum_kernel_size = mininum_kernel_size
|
||||
self.scaling_bias = scaling_bias
|
||||
self.opacity_bias = opacity_bias
|
||||
self.scaling_activation_type = scaling_activation
|
||||
self.device = device
|
||||
self.aabb = torch.tensor(aabb, dtype=torch.float32, device=device)
|
||||
self.setup_functions()
|
||||
|
||||
self._xyz = None
|
||||
self._features_dc = None
|
||||
self._features_rest = None
|
||||
self._scaling = None
|
||||
self._rotation = None
|
||||
self._opacity = None
|
||||
|
||||
def setup_functions(self):
|
||||
def build_covariance_from_scaling_rotation(scaling, scaling_modifier, rotation):
|
||||
L = build_scaling_rotation(scaling_modifier * scaling, rotation)
|
||||
actual_covariance = L @ L.transpose(1, 2)
|
||||
symm = strip_symmetric(actual_covariance)
|
||||
return symm
|
||||
|
||||
if self.scaling_activation_type == "exp":
|
||||
self.scaling_activation = torch.exp
|
||||
self.inverse_scaling_activation = torch.log
|
||||
elif self.scaling_activation_type == "softplus":
|
||||
self.scaling_activation = torch.nn.functional.softplus
|
||||
self.inverse_scaling_activation = lambda x: x + torch.log(-torch.expm1(-x))
|
||||
|
||||
self.covariance_activation = build_covariance_from_scaling_rotation
|
||||
|
||||
self.opacity_activation = torch.sigmoid
|
||||
self.inverse_opacity_activation = inverse_sigmoid
|
||||
|
||||
self.rotation_activation = torch.nn.functional.normalize
|
||||
|
||||
self.scale_bias = self.inverse_scaling_activation(torch.tensor(self.scaling_bias)).cuda()
|
||||
self.rots_bias = torch.zeros((4)).cuda()
|
||||
self.rots_bias[0] = 1
|
||||
self.opacity_bias = self.inverse_opacity_activation(torch.tensor(self.opacity_bias)).cuda()
|
||||
|
||||
@property
|
||||
def get_scaling(self):
|
||||
scales = self.scaling_activation(self._scaling + self.scale_bias)
|
||||
scales = torch.square(scales) + self.mininum_kernel_size ** 2
|
||||
scales = torch.sqrt(scales)
|
||||
return scales
|
||||
|
||||
@property
|
||||
def get_rotation(self):
|
||||
return self.rotation_activation(self._rotation + self.rots_bias[None, :])
|
||||
|
||||
@property
|
||||
def get_xyz(self):
|
||||
return self._xyz * self.aabb[None, 3:] + self.aabb[None, :3]
|
||||
|
||||
@property
|
||||
def get_features(self):
|
||||
return torch.cat((self._features_dc, self._features_rest), dim=2) if self._features_rest is not None else self._features_dc
|
||||
|
||||
@property
|
||||
def get_opacity(self):
|
||||
return self.opacity_activation(self._opacity + self.opacity_bias)
|
||||
|
||||
def get_covariance(self, scaling_modifier = 1):
|
||||
return self.covariance_activation(self.get_scaling, scaling_modifier, self._rotation + self.rots_bias[None, :])
|
||||
|
||||
def from_scaling(self, scales):
|
||||
scales = torch.sqrt(torch.square(scales) - self.mininum_kernel_size ** 2)
|
||||
self._scaling = self.inverse_scaling_activation(scales) - self.scale_bias
|
||||
|
||||
def from_rotation(self, rots):
|
||||
self._rotation = rots - self.rots_bias[None, :]
|
||||
|
||||
def from_xyz(self, xyz):
|
||||
self._xyz = (xyz - self.aabb[None, :3]) / self.aabb[None, 3:]
|
||||
|
||||
def from_features(self, features):
|
||||
self._features_dc = features
|
||||
|
||||
def from_opacity(self, opacities):
|
||||
self._opacity = self.inverse_opacity_activation(opacities) - self.opacity_bias
|
||||
|
||||
def construct_list_of_attributes(self):
|
||||
l = ['x', 'y', 'z', 'nx', 'ny', 'nz']
|
||||
# All channels except the 3 DC
|
||||
for i in range(self._features_dc.shape[1]*self._features_dc.shape[2]):
|
||||
l.append('f_dc_{}'.format(i))
|
||||
l.append('opacity')
|
||||
for i in range(self._scaling.shape[1]):
|
||||
l.append('scale_{}'.format(i))
|
||||
for i in range(self._rotation.shape[1]):
|
||||
l.append('rot_{}'.format(i))
|
||||
return l
|
||||
|
||||
def save_ply(self, path):
|
||||
xyz = self.get_xyz.detach().cpu().numpy()
|
||||
normals = np.zeros_like(xyz)
|
||||
f_dc = self._features_dc.detach().transpose(1, 2).flatten(start_dim=1).contiguous().cpu().numpy()
|
||||
opacities = inverse_sigmoid(self.get_opacity).detach().cpu().numpy()
|
||||
scale = torch.log(self.get_scaling).detach().cpu().numpy()
|
||||
rotation = (self._rotation + self.rots_bias[None, :]).detach().cpu().numpy()
|
||||
|
||||
dtype_full = [(attribute, 'f4') for attribute in self.construct_list_of_attributes()]
|
||||
|
||||
elements = np.empty(xyz.shape[0], dtype=dtype_full)
|
||||
attributes = np.concatenate((xyz, normals, f_dc, opacities, scale, rotation), axis=1)
|
||||
elements[:] = list(map(tuple, attributes))
|
||||
el = PlyElement.describe(elements, 'vertex')
|
||||
PlyData([el]).write(path)
|
||||
|
||||
def load_ply(self, path):
|
||||
plydata = PlyData.read(path)
|
||||
|
||||
xyz = np.stack((np.asarray(plydata.elements[0]["x"]),
|
||||
np.asarray(plydata.elements[0]["y"]),
|
||||
np.asarray(plydata.elements[0]["z"])), axis=1)
|
||||
opacities = np.asarray(plydata.elements[0]["opacity"])[..., np.newaxis]
|
||||
|
||||
features_dc = np.zeros((xyz.shape[0], 3, 1))
|
||||
features_dc[:, 0, 0] = np.asarray(plydata.elements[0]["f_dc_0"])
|
||||
features_dc[:, 1, 0] = np.asarray(plydata.elements[0]["f_dc_1"])
|
||||
features_dc[:, 2, 0] = np.asarray(plydata.elements[0]["f_dc_2"])
|
||||
|
||||
if self.sh_degree > 0:
|
||||
extra_f_names = [p.name for p in plydata.elements[0].properties if p.name.startswith("f_rest_")]
|
||||
extra_f_names = sorted(extra_f_names, key = lambda x: int(x.split('_')[-1]))
|
||||
assert len(extra_f_names)==3*(self.sh_degree + 1) ** 2 - 3
|
||||
features_extra = np.zeros((xyz.shape[0], len(extra_f_names)))
|
||||
for idx, attr_name in enumerate(extra_f_names):
|
||||
features_extra[:, idx] = np.asarray(plydata.elements[0][attr_name])
|
||||
# Reshape (P,F*SH_coeffs) to (P, F, SH_coeffs except DC)
|
||||
features_extra = features_extra.reshape((features_extra.shape[0], 3, (self.max_sh_degree + 1) ** 2 - 1))
|
||||
|
||||
scale_names = [p.name for p in plydata.elements[0].properties if p.name.startswith("scale_")]
|
||||
scale_names = sorted(scale_names, key = lambda x: int(x.split('_')[-1]))
|
||||
scales = np.zeros((xyz.shape[0], len(scale_names)))
|
||||
for idx, attr_name in enumerate(scale_names):
|
||||
scales[:, idx] = np.asarray(plydata.elements[0][attr_name])
|
||||
|
||||
rot_names = [p.name for p in plydata.elements[0].properties if p.name.startswith("rot")]
|
||||
rot_names = sorted(rot_names, key = lambda x: int(x.split('_')[-1]))
|
||||
rots = np.zeros((xyz.shape[0], len(rot_names)))
|
||||
for idx, attr_name in enumerate(rot_names):
|
||||
rots[:, idx] = np.asarray(plydata.elements[0][attr_name])
|
||||
|
||||
# convert to actual gaussian attributes
|
||||
xyz = torch.tensor(xyz, dtype=torch.float, device=self.device)
|
||||
features_dc = torch.tensor(features_dc, dtype=torch.float, device=self.device).transpose(1, 2).contiguous()
|
||||
if self.sh_degree > 0:
|
||||
features_extra = torch.tensor(features_extra, dtype=torch.float, device=self.device).transpose(1, 2).contiguous()
|
||||
opacities = torch.sigmoid(torch.tensor(opacities, dtype=torch.float, device=self.device))
|
||||
scales = torch.exp(torch.tensor(scales, dtype=torch.float, device=self.device))
|
||||
rots = torch.tensor(rots, dtype=torch.float, device=self.device)
|
||||
|
||||
# convert to _hidden attributes
|
||||
self._xyz = (xyz - self.aabb[None, :3]) / self.aabb[None, 3:]
|
||||
self._features_dc = features_dc
|
||||
if self.sh_degree > 0:
|
||||
self._features_rest = features_extra
|
||||
else:
|
||||
self._features_rest = None
|
||||
self._opacity = self.inverse_opacity_activation(opacities) - self.opacity_bias
|
||||
self._scaling = self.inverse_scaling_activation(torch.sqrt(torch.square(scales) - self.mininum_kernel_size ** 2)) - self.scale_bias
|
||||
self._rotation = rots - self.rots_bias[None, :]
|
||||
|
||||
@@ -0,0 +1,133 @@
|
||||
#
|
||||
# Copyright (C) 2023, Inria
|
||||
# GRAPHDECO research group, https://team.inria.fr/graphdeco
|
||||
# All rights reserved.
|
||||
#
|
||||
# This software is free for non-commercial, research and evaluation use
|
||||
# under the terms of the LICENSE.md file.
|
||||
#
|
||||
# For inquiries contact george.drettakis@inria.fr
|
||||
#
|
||||
|
||||
import torch
|
||||
import sys
|
||||
from datetime import datetime
|
||||
import numpy as np
|
||||
import random
|
||||
|
||||
def inverse_sigmoid(x):
|
||||
return torch.log(x/(1-x))
|
||||
|
||||
def PILtoTorch(pil_image, resolution):
|
||||
resized_image_PIL = pil_image.resize(resolution)
|
||||
resized_image = torch.from_numpy(np.array(resized_image_PIL)) / 255.0
|
||||
if len(resized_image.shape) == 3:
|
||||
return resized_image.permute(2, 0, 1)
|
||||
else:
|
||||
return resized_image.unsqueeze(dim=-1).permute(2, 0, 1)
|
||||
|
||||
def get_expon_lr_func(
|
||||
lr_init, lr_final, lr_delay_steps=0, lr_delay_mult=1.0, max_steps=1000000
|
||||
):
|
||||
"""
|
||||
Copied from Plenoxels
|
||||
|
||||
Continuous learning rate decay function. Adapted from JaxNeRF
|
||||
The returned rate is lr_init when step=0 and lr_final when step=max_steps, and
|
||||
is log-linearly interpolated elsewhere (equivalent to exponential decay).
|
||||
If lr_delay_steps>0 then the learning rate will be scaled by some smooth
|
||||
function of lr_delay_mult, such that the initial learning rate is
|
||||
lr_init*lr_delay_mult at the beginning of optimization but will be eased back
|
||||
to the normal learning rate when steps>lr_delay_steps.
|
||||
:param conf: config subtree 'lr' or similar
|
||||
:param max_steps: int, the number of steps during optimization.
|
||||
:return HoF which takes step as input
|
||||
"""
|
||||
|
||||
def helper(step):
|
||||
if step < 0 or (lr_init == 0.0 and lr_final == 0.0):
|
||||
# Disable this parameter
|
||||
return 0.0
|
||||
if lr_delay_steps > 0:
|
||||
# A kind of reverse cosine decay.
|
||||
delay_rate = lr_delay_mult + (1 - lr_delay_mult) * np.sin(
|
||||
0.5 * np.pi * np.clip(step / lr_delay_steps, 0, 1)
|
||||
)
|
||||
else:
|
||||
delay_rate = 1.0
|
||||
t = np.clip(step / max_steps, 0, 1)
|
||||
log_lerp = np.exp(np.log(lr_init) * (1 - t) + np.log(lr_final) * t)
|
||||
return delay_rate * log_lerp
|
||||
|
||||
return helper
|
||||
|
||||
def strip_lowerdiag(L):
|
||||
uncertainty = torch.zeros((L.shape[0], 6), dtype=torch.float, device="cuda")
|
||||
|
||||
uncertainty[:, 0] = L[:, 0, 0]
|
||||
uncertainty[:, 1] = L[:, 0, 1]
|
||||
uncertainty[:, 2] = L[:, 0, 2]
|
||||
uncertainty[:, 3] = L[:, 1, 1]
|
||||
uncertainty[:, 4] = L[:, 1, 2]
|
||||
uncertainty[:, 5] = L[:, 2, 2]
|
||||
return uncertainty
|
||||
|
||||
def strip_symmetric(sym):
|
||||
return strip_lowerdiag(sym)
|
||||
|
||||
def build_rotation(r):
|
||||
norm = torch.sqrt(r[:,0]*r[:,0] + r[:,1]*r[:,1] + r[:,2]*r[:,2] + r[:,3]*r[:,3])
|
||||
|
||||
q = r / norm[:, None]
|
||||
|
||||
R = torch.zeros((q.size(0), 3, 3), device='cuda')
|
||||
|
||||
r = q[:, 0]
|
||||
x = q[:, 1]
|
||||
y = q[:, 2]
|
||||
z = q[:, 3]
|
||||
|
||||
R[:, 0, 0] = 1 - 2 * (y*y + z*z)
|
||||
R[:, 0, 1] = 2 * (x*y - r*z)
|
||||
R[:, 0, 2] = 2 * (x*z + r*y)
|
||||
R[:, 1, 0] = 2 * (x*y + r*z)
|
||||
R[:, 1, 1] = 1 - 2 * (x*x + z*z)
|
||||
R[:, 1, 2] = 2 * (y*z - r*x)
|
||||
R[:, 2, 0] = 2 * (x*z - r*y)
|
||||
R[:, 2, 1] = 2 * (y*z + r*x)
|
||||
R[:, 2, 2] = 1 - 2 * (x*x + y*y)
|
||||
return R
|
||||
|
||||
def build_scaling_rotation(s, r):
|
||||
L = torch.zeros((s.shape[0], 3, 3), dtype=torch.float, device="cuda")
|
||||
R = build_rotation(r)
|
||||
|
||||
L[:,0,0] = s[:,0]
|
||||
L[:,1,1] = s[:,1]
|
||||
L[:,2,2] = s[:,2]
|
||||
|
||||
L = R @ L
|
||||
return L
|
||||
|
||||
def safe_state(silent):
|
||||
old_f = sys.stdout
|
||||
class F:
|
||||
def __init__(self, silent):
|
||||
self.silent = silent
|
||||
|
||||
def write(self, x):
|
||||
if not self.silent:
|
||||
if x.endswith("\n"):
|
||||
old_f.write(x.replace("\n", " [{}]\n".format(str(datetime.now().strftime("%d/%m %H:%M:%S")))))
|
||||
else:
|
||||
old_f.write(x)
|
||||
|
||||
def flush(self):
|
||||
old_f.flush()
|
||||
|
||||
sys.stdout = F(silent)
|
||||
|
||||
random.seed(0)
|
||||
np.random.seed(0)
|
||||
torch.manual_seed(0)
|
||||
torch.cuda.set_device(torch.device("cuda:0"))
|
||||
@@ -0,0 +1 @@
|
||||
from .cube2mesh import SparseFeatures2Mesh, MeshExtractResult
|
||||
@@ -0,0 +1,146 @@
|
||||
import torch
|
||||
from ...modules.sparse import SparseTensor
|
||||
from easydict import EasyDict as edict
|
||||
from .utils_cube import *
|
||||
try:
|
||||
from .flexicubes.flexicubes import FlexiCubes
|
||||
except:
|
||||
print("Please install kaolin and diso to use the mesh extractor.")
|
||||
|
||||
|
||||
class MeshExtractResult:
|
||||
def __init__(self,
|
||||
vertices,
|
||||
faces,
|
||||
vertex_attrs=None,
|
||||
res=64
|
||||
):
|
||||
self.vertices = vertices
|
||||
self.faces = faces.long()
|
||||
self.vertex_attrs = vertex_attrs
|
||||
self.face_normal = self.comput_face_normals(vertices, faces)
|
||||
self.res = res
|
||||
self.success = (vertices.shape[0] != 0 and faces.shape[0] != 0)
|
||||
|
||||
# training only
|
||||
self.tsdf_v = None
|
||||
self.tsdf_s = None
|
||||
self.reg_loss = None
|
||||
|
||||
def comput_face_normals(self, verts, faces):
|
||||
i0 = faces[..., 0].long()
|
||||
i1 = faces[..., 1].long()
|
||||
i2 = faces[..., 2].long()
|
||||
|
||||
v0 = verts[i0, :]
|
||||
v1 = verts[i1, :]
|
||||
v2 = verts[i2, :]
|
||||
face_normals = torch.cross(v1 - v0, v2 - v0, dim=-1)
|
||||
face_normals = torch.nn.functional.normalize(face_normals, dim=1)
|
||||
# print(face_normals.min(), face_normals.max(), face_normals.shape)
|
||||
return face_normals[:, None, :].repeat(1, 3, 1)
|
||||
|
||||
def comput_v_normals(self, verts, faces):
|
||||
i0 = faces[..., 0].long()
|
||||
i1 = faces[..., 1].long()
|
||||
i2 = faces[..., 2].long()
|
||||
|
||||
v0 = verts[i0, :]
|
||||
v1 = verts[i1, :]
|
||||
v2 = verts[i2, :]
|
||||
face_normals = torch.cross(v1 - v0, v2 - v0, dim=-1)
|
||||
v_normals = torch.zeros_like(verts)
|
||||
v_normals.scatter_add_(0, i0[..., None].repeat(1, 3), face_normals)
|
||||
v_normals.scatter_add_(0, i1[..., None].repeat(1, 3), face_normals)
|
||||
v_normals.scatter_add_(0, i2[..., None].repeat(1, 3), face_normals)
|
||||
|
||||
v_normals = torch.nn.functional.normalize(v_normals, dim=1)
|
||||
return v_normals
|
||||
|
||||
|
||||
class SparseFeatures2Mesh:
|
||||
def __init__(self, device="cuda", res=64, use_color=True):
|
||||
'''
|
||||
a model to generate a mesh from sparse features structures using flexicube
|
||||
'''
|
||||
super().__init__()
|
||||
self.device=device
|
||||
self.res = res
|
||||
self.mesh_extractor = FlexiCubes(device=device)
|
||||
self.sdf_bias = -1.0 / res
|
||||
verts, cube = construct_dense_grid(self.res, self.device)
|
||||
self.reg_c = cube.to(self.device)
|
||||
self.reg_v = verts.to(self.device)
|
||||
self.use_color = use_color
|
||||
self._calc_layout()
|
||||
|
||||
def _calc_layout(self):
|
||||
LAYOUTS = {
|
||||
'sdf': {'shape': (8, 1), 'size': 8},
|
||||
'deform': {'shape': (8, 3), 'size': 8 * 3},
|
||||
'weights': {'shape': (21,), 'size': 21}
|
||||
}
|
||||
if self.use_color:
|
||||
'''
|
||||
6 channel color including normal map
|
||||
'''
|
||||
LAYOUTS['color'] = {'shape': (8, 6,), 'size': 8 * 6}
|
||||
self.layouts = edict(LAYOUTS)
|
||||
start = 0
|
||||
for k, v in self.layouts.items():
|
||||
v['range'] = (start, start + v['size'])
|
||||
start += v['size']
|
||||
self.feats_channels = start
|
||||
|
||||
def get_layout(self, feats : torch.Tensor, name : str):
|
||||
if name not in self.layouts:
|
||||
return None
|
||||
return feats[:, self.layouts[name]['range'][0]:self.layouts[name]['range'][1]].reshape(-1, *self.layouts[name]['shape'])
|
||||
|
||||
def __call__(self, cubefeats : SparseTensor, training=False):
|
||||
"""
|
||||
Generates a mesh based on the specified sparse voxel structures.
|
||||
Args:
|
||||
cube_attrs [Nx21] : Sparse Tensor attrs about cube weights
|
||||
verts_attrs [Nx10] : [0:1] SDF [1:4] deform [4:7] color [7:10] normal
|
||||
Returns:
|
||||
return the success tag and ni you loss,
|
||||
"""
|
||||
# add sdf bias to verts_attrs
|
||||
coords = cubefeats.coords[:, 1:]
|
||||
feats = cubefeats.feats
|
||||
|
||||
sdf, deform, color, weights = [self.get_layout(feats, name) for name in ['sdf', 'deform', 'color', 'weights']]
|
||||
sdf += self.sdf_bias
|
||||
v_attrs = [sdf, deform, color] if self.use_color else [sdf, deform]
|
||||
v_pos, v_attrs, reg_loss = sparse_cube2verts(coords, torch.cat(v_attrs, dim=-1), training=training)
|
||||
v_attrs_d = get_dense_attrs(v_pos, v_attrs, res=self.res+1, sdf_init=True)
|
||||
weights_d = get_dense_attrs(coords, weights, res=self.res, sdf_init=False)
|
||||
if self.use_color:
|
||||
sdf_d, deform_d, colors_d = v_attrs_d[..., 0], v_attrs_d[..., 1:4], v_attrs_d[..., 4:]
|
||||
else:
|
||||
sdf_d, deform_d = v_attrs_d[..., 0], v_attrs_d[..., 1:4]
|
||||
colors_d = None
|
||||
|
||||
x_nx3 = get_defomed_verts(self.reg_v, deform_d, self.res)
|
||||
|
||||
vertices, faces, L_dev, colors = self.mesh_extractor(
|
||||
voxelgrid_vertices=x_nx3,
|
||||
scalar_field=sdf_d,
|
||||
cube_idx=self.reg_c,
|
||||
resolution=self.res,
|
||||
beta=weights_d[:, :12],
|
||||
alpha=weights_d[:, 12:20],
|
||||
gamma_f=weights_d[:, 20],
|
||||
voxelgrid_colors=colors_d,
|
||||
training=training)
|
||||
|
||||
mesh = MeshExtractResult(vertices=vertices, faces=faces, vertex_attrs=colors, res=self.res)
|
||||
if training:
|
||||
if mesh.success:
|
||||
reg_loss += L_dev.mean() * 0.5
|
||||
reg_loss += (weights[:,:20]).abs().mean() * 0.2
|
||||
mesh.reg_loss = reg_loss
|
||||
mesh.tsdf_v = get_defomed_verts(v_pos, v_attrs[:, 1:4], self.res)
|
||||
mesh.tsdf_s = v_attrs[:, 0]
|
||||
return mesh
|
||||
@@ -0,0 +1,417 @@
|
||||
# Copyright (c) 2023, NVIDIA CORPORATION & AFFILIATES. All rights reserved.
|
||||
#
|
||||
# NVIDIA CORPORATION & AFFILIATES and its licensors retain all intellectual property
|
||||
# and proprietary rights in and to this software, related documentation
|
||||
# and any modifications thereto. Any use, reproduction, disclosure or
|
||||
# distribution of this software and related documentation without an express
|
||||
# license agreement from NVIDIA CORPORATION & AFFILIATES is strictly prohibited.
|
||||
|
||||
import torch
|
||||
from .tables import *
|
||||
|
||||
__all__ = [
|
||||
'FlexiCubes'
|
||||
]
|
||||
|
||||
def check_tensor(tensor, shape=None, dtype=None, device=None, throw=True):
|
||||
"""Check if :class:`torch.Tensor` is valid given set of criteria.
|
||||
|
||||
Args:
|
||||
tensor (torch.Tensor): the tensor to be tested.
|
||||
shape (list or tuple of int, optional): the expected shape,
|
||||
if a dimension is set at ``None`` then it's not verified.
|
||||
dtype (torch.dtype, optional): the expected dtype.
|
||||
device (torch.device, optional): the expected device.
|
||||
throw (bool): if true (default), will throw if checks fail
|
||||
|
||||
Return:
|
||||
(bool) True if checks pass
|
||||
"""
|
||||
if shape is not None:
|
||||
if len(shape) != tensor.ndim:
|
||||
if throw:
|
||||
raise ValueError(f"tensor have {tensor.ndim} ndim, should have {len(shape)}")
|
||||
return False
|
||||
for i, dim in enumerate(shape):
|
||||
if dim is not None and tensor.shape[i] != dim:
|
||||
if throw:
|
||||
raise ValueError(f"tensor shape is {tensor.shape}, should be {shape}")
|
||||
return False
|
||||
if dtype is not None and dtype != tensor.dtype:
|
||||
if throw:
|
||||
raise TypeError(f"tensor dtype is {tensor.dtype}, should be {dtype}")
|
||||
return False
|
||||
if device is not None and device != tensor.device.type:
|
||||
if throw:
|
||||
raise TypeError(f"tensor device is {tensor.device.type}, should be {device}")
|
||||
return False
|
||||
return True
|
||||
|
||||
|
||||
class FlexiCubes:
|
||||
def __init__(self, device="cuda"):
|
||||
|
||||
self.device = device
|
||||
self.dmc_table = torch.tensor(dmc_table, dtype=torch.long, device=device, requires_grad=False)
|
||||
self.num_vd_table = torch.tensor(num_vd_table,
|
||||
dtype=torch.long, device=device, requires_grad=False)
|
||||
self.check_table = torch.tensor(
|
||||
check_table,
|
||||
dtype=torch.long, device=device, requires_grad=False)
|
||||
|
||||
self.tet_table = torch.tensor(tet_table, dtype=torch.long, device=device, requires_grad=False)
|
||||
self.quad_split_1 = torch.tensor([0, 1, 2, 0, 2, 3], dtype=torch.long, device=device, requires_grad=False)
|
||||
self.quad_split_2 = torch.tensor([0, 1, 3, 3, 1, 2], dtype=torch.long, device=device, requires_grad=False)
|
||||
self.quad_split_train = torch.tensor(
|
||||
[0, 1, 1, 2, 2, 3, 3, 0], dtype=torch.long, device=device, requires_grad=False)
|
||||
|
||||
self.cube_corners = torch.tensor([[0, 0, 0], [1, 0, 0], [0, 1, 0], [1, 1, 0], [0, 0, 1], [
|
||||
1, 0, 1], [0, 1, 1], [1, 1, 1]], dtype=torch.float, device=device)
|
||||
self.cube_corners_idx = torch.pow(2, torch.arange(8, requires_grad=False))
|
||||
self.cube_edges = torch.tensor([0, 1, 1, 5, 4, 5, 0, 4, 2, 3, 3, 7, 6, 7, 2, 6,
|
||||
2, 0, 3, 1, 7, 5, 6, 4], dtype=torch.long, device=device, requires_grad=False)
|
||||
|
||||
self.edge_dir_table = torch.tensor([0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1],
|
||||
dtype=torch.long, device=device)
|
||||
self.dir_faces_table = torch.tensor([
|
||||
[[5, 4], [3, 2], [4, 5], [2, 3]],
|
||||
[[5, 4], [1, 0], [4, 5], [0, 1]],
|
||||
[[3, 2], [1, 0], [2, 3], [0, 1]]
|
||||
], dtype=torch.long, device=device)
|
||||
self.adj_pairs = torch.tensor([0, 1, 1, 3, 3, 2, 2, 0], dtype=torch.long, device=device)
|
||||
|
||||
def __call__(self, voxelgrid_vertices, scalar_field, cube_idx, resolution, qef_reg_scale=1e-3,
|
||||
weight_scale=0.99, beta=None, alpha=None, gamma_f=None, voxelgrid_colors=None, training=False):
|
||||
assert torch.is_tensor(voxelgrid_vertices) and \
|
||||
check_tensor(voxelgrid_vertices, (None, 3), throw=False), \
|
||||
"'voxelgrid_vertices' should be a tensor of shape (num_vertices, 3)"
|
||||
num_vertices = voxelgrid_vertices.shape[0]
|
||||
assert torch.is_tensor(scalar_field) and \
|
||||
check_tensor(scalar_field, (num_vertices,), throw=False), \
|
||||
"'scalar_field' should be a tensor of shape (num_vertices,)"
|
||||
assert torch.is_tensor(cube_idx) and \
|
||||
check_tensor(cube_idx, (None, 8), throw=False), \
|
||||
"'cube_idx' should be a tensor of shape (num_cubes, 8)"
|
||||
num_cubes = cube_idx.shape[0]
|
||||
assert beta is None or (
|
||||
torch.is_tensor(beta) and
|
||||
check_tensor(beta, (num_cubes, 12), throw=False)
|
||||
), "'beta' should be a tensor of shape (num_cubes, 12)"
|
||||
assert alpha is None or (
|
||||
torch.is_tensor(alpha) and
|
||||
check_tensor(alpha, (num_cubes, 8), throw=False)
|
||||
), "'alpha' should be a tensor of shape (num_cubes, 8)"
|
||||
assert gamma_f is None or (
|
||||
torch.is_tensor(gamma_f) and
|
||||
check_tensor(gamma_f, (num_cubes,), throw=False)
|
||||
), "'gamma_f' should be a tensor of shape (num_cubes,)"
|
||||
|
||||
surf_cubes, occ_fx8 = self._identify_surf_cubes(scalar_field, cube_idx)
|
||||
if surf_cubes.sum() == 0:
|
||||
return (
|
||||
torch.zeros((0, 3), device=self.device),
|
||||
torch.zeros((0, 3), dtype=torch.long, device=self.device),
|
||||
torch.zeros((0), device=self.device),
|
||||
torch.zeros((0, voxelgrid_colors.shape[-1]), device=self.device) if voxelgrid_colors is not None else None
|
||||
)
|
||||
beta, alpha, gamma_f = self._normalize_weights(
|
||||
beta, alpha, gamma_f, surf_cubes, weight_scale)
|
||||
|
||||
if voxelgrid_colors is not None:
|
||||
voxelgrid_colors = torch.sigmoid(voxelgrid_colors)
|
||||
|
||||
case_ids = self._get_case_id(occ_fx8, surf_cubes, resolution)
|
||||
|
||||
surf_edges, idx_map, edge_counts, surf_edges_mask = self._identify_surf_edges(
|
||||
scalar_field, cube_idx, surf_cubes
|
||||
)
|
||||
|
||||
vd, L_dev, vd_gamma, vd_idx_map, vd_color = self._compute_vd(
|
||||
voxelgrid_vertices, cube_idx[surf_cubes], surf_edges, scalar_field,
|
||||
case_ids, beta, alpha, gamma_f, idx_map, qef_reg_scale, voxelgrid_colors)
|
||||
vertices, faces, s_edges, edge_indices, vertices_color = self._triangulate(
|
||||
scalar_field, surf_edges, vd, vd_gamma, edge_counts, idx_map,
|
||||
vd_idx_map, surf_edges_mask, training, vd_color)
|
||||
return vertices, faces, L_dev, vertices_color
|
||||
|
||||
def _compute_reg_loss(self, vd, ue, edge_group_to_vd, vd_num_edges):
|
||||
"""
|
||||
Regularizer L_dev as in Equation 8
|
||||
"""
|
||||
dist = torch.norm(ue - torch.index_select(input=vd, index=edge_group_to_vd, dim=0), dim=-1)
|
||||
mean_l2 = torch.zeros_like(vd[:, 0])
|
||||
mean_l2 = (mean_l2).index_add_(0, edge_group_to_vd, dist) / vd_num_edges.squeeze(1).float()
|
||||
mad = (dist - torch.index_select(input=mean_l2, index=edge_group_to_vd, dim=0)).abs()
|
||||
return mad
|
||||
|
||||
def _normalize_weights(self, beta, alpha, gamma_f, surf_cubes, weight_scale):
|
||||
"""
|
||||
Normalizes the given weights to be non-negative. If input weights are None, it creates and returns a set of weights of ones.
|
||||
"""
|
||||
n_cubes = surf_cubes.shape[0]
|
||||
|
||||
if beta is not None:
|
||||
beta = (torch.tanh(beta) * weight_scale + 1)
|
||||
else:
|
||||
beta = torch.ones((n_cubes, 12), dtype=torch.float, device=self.device)
|
||||
|
||||
if alpha is not None:
|
||||
alpha = (torch.tanh(alpha) * weight_scale + 1)
|
||||
else:
|
||||
alpha = torch.ones((n_cubes, 8), dtype=torch.float, device=self.device)
|
||||
|
||||
if gamma_f is not None:
|
||||
gamma_f = torch.sigmoid(gamma_f) * weight_scale + (1 - weight_scale) / 2
|
||||
else:
|
||||
gamma_f = torch.ones((n_cubes), dtype=torch.float, device=self.device)
|
||||
|
||||
return beta[surf_cubes], alpha[surf_cubes], gamma_f[surf_cubes]
|
||||
|
||||
@torch.no_grad()
|
||||
def _get_case_id(self, occ_fx8, surf_cubes, res):
|
||||
"""
|
||||
Obtains the ID of topology cases based on cell corner occupancy. This function resolves the
|
||||
ambiguity in the Dual Marching Cubes (DMC) configurations as described in Section 1.3 of the
|
||||
supplementary material. It should be noted that this function assumes a regular grid.
|
||||
"""
|
||||
case_ids = (occ_fx8[surf_cubes] * self.cube_corners_idx.to(self.device).unsqueeze(0)).sum(-1)
|
||||
|
||||
problem_config = self.check_table.to(self.device)[case_ids]
|
||||
to_check = problem_config[..., 0] == 1
|
||||
problem_config = problem_config[to_check]
|
||||
if not isinstance(res, (list, tuple)):
|
||||
res = [res, res, res]
|
||||
|
||||
# The 'problematic_configs' only contain configurations for surface cubes. Next, we construct a 3D array,
|
||||
# 'problem_config_full', to store configurations for all cubes (with default config for non-surface cubes).
|
||||
# This allows efficient checking on adjacent cubes.
|
||||
problem_config_full = torch.zeros(list(res) + [5], device=self.device, dtype=torch.long)
|
||||
vol_idx = torch.nonzero(problem_config_full[..., 0] == 0) # N, 3
|
||||
vol_idx_problem = vol_idx[surf_cubes][to_check]
|
||||
problem_config_full[vol_idx_problem[..., 0], vol_idx_problem[..., 1], vol_idx_problem[..., 2]] = problem_config
|
||||
vol_idx_problem_adj = vol_idx_problem + problem_config[..., 1:4]
|
||||
|
||||
within_range = (
|
||||
vol_idx_problem_adj[..., 0] >= 0) & (
|
||||
vol_idx_problem_adj[..., 0] < res[0]) & (
|
||||
vol_idx_problem_adj[..., 1] >= 0) & (
|
||||
vol_idx_problem_adj[..., 1] < res[1]) & (
|
||||
vol_idx_problem_adj[..., 2] >= 0) & (
|
||||
vol_idx_problem_adj[..., 2] < res[2])
|
||||
|
||||
vol_idx_problem = vol_idx_problem[within_range]
|
||||
vol_idx_problem_adj = vol_idx_problem_adj[within_range]
|
||||
problem_config = problem_config[within_range]
|
||||
problem_config_adj = problem_config_full[vol_idx_problem_adj[..., 0],
|
||||
vol_idx_problem_adj[..., 1], vol_idx_problem_adj[..., 2]]
|
||||
# If two cubes with cases C16 and C19 share an ambiguous face, both cases are inverted.
|
||||
to_invert = (problem_config_adj[..., 0] == 1)
|
||||
idx = torch.arange(case_ids.shape[0], device=self.device)[to_check][within_range][to_invert]
|
||||
case_ids.index_put_((idx,), problem_config[to_invert][..., -1])
|
||||
return case_ids
|
||||
|
||||
@torch.no_grad()
|
||||
def _identify_surf_edges(self, scalar_field, cube_idx, surf_cubes):
|
||||
"""
|
||||
Identifies grid edges that intersect with the underlying surface by checking for opposite signs. As each edge
|
||||
can be shared by multiple cubes, this function also assigns a unique index to each surface-intersecting edge
|
||||
and marks the cube edges with this index.
|
||||
"""
|
||||
occ_n = scalar_field < 0
|
||||
all_edges = cube_idx[surf_cubes][:, self.cube_edges].reshape(-1, 2)
|
||||
unique_edges, _idx_map, counts = torch.unique(all_edges, dim=0, return_inverse=True, return_counts=True)
|
||||
|
||||
unique_edges = unique_edges.long()
|
||||
mask_edges = occ_n[unique_edges.reshape(-1)].reshape(-1, 2).sum(-1) == 1
|
||||
|
||||
surf_edges_mask = mask_edges[_idx_map]
|
||||
counts = counts[_idx_map]
|
||||
|
||||
mapping = torch.ones((unique_edges.shape[0]), dtype=torch.long, device=cube_idx.device) * -1
|
||||
mapping[mask_edges] = torch.arange(mask_edges.sum(), device=cube_idx.device)
|
||||
# Shaped as [number of cubes x 12 edges per cube]. This is later used to map a cube edge to the unique index
|
||||
# for a surface-intersecting edge. Non-surface-intersecting edges are marked with -1.
|
||||
idx_map = mapping[_idx_map]
|
||||
surf_edges = unique_edges[mask_edges]
|
||||
return surf_edges, idx_map, counts, surf_edges_mask
|
||||
|
||||
@torch.no_grad()
|
||||
def _identify_surf_cubes(self, scalar_field, cube_idx):
|
||||
"""
|
||||
Identifies grid cubes that intersect with the underlying surface by checking if the signs at
|
||||
all corners are not identical.
|
||||
"""
|
||||
occ_n = scalar_field < 0
|
||||
occ_fx8 = occ_n[cube_idx.reshape(-1)].reshape(-1, 8)
|
||||
_occ_sum = torch.sum(occ_fx8, -1)
|
||||
surf_cubes = (_occ_sum > 0) & (_occ_sum < 8)
|
||||
return surf_cubes, occ_fx8
|
||||
|
||||
def _linear_interp(self, edges_weight, edges_x):
|
||||
"""
|
||||
Computes the location of zero-crossings on 'edges_x' using linear interpolation with 'edges_weight'.
|
||||
"""
|
||||
edge_dim = edges_weight.dim() - 2
|
||||
assert edges_weight.shape[edge_dim] == 2
|
||||
edges_weight = torch.cat([torch.index_select(input=edges_weight, index=torch.tensor(1, device=self.device), dim=edge_dim), -
|
||||
torch.index_select(input=edges_weight, index=torch.tensor(0, device=self.device), dim=edge_dim)]
|
||||
, edge_dim)
|
||||
denominator = edges_weight.sum(edge_dim)
|
||||
ue = (edges_x * edges_weight).sum(edge_dim) / denominator
|
||||
return ue
|
||||
|
||||
def _solve_vd_QEF(self, p_bxnx3, norm_bxnx3, c_bx3, qef_reg_scale):
|
||||
p_bxnx3 = p_bxnx3.reshape(-1, 7, 3)
|
||||
norm_bxnx3 = norm_bxnx3.reshape(-1, 7, 3)
|
||||
c_bx3 = c_bx3.reshape(-1, 3)
|
||||
A = norm_bxnx3
|
||||
B = ((p_bxnx3) * norm_bxnx3).sum(-1, keepdims=True)
|
||||
|
||||
A_reg = (torch.eye(3, device=p_bxnx3.device) * qef_reg_scale).unsqueeze(0).repeat(p_bxnx3.shape[0], 1, 1)
|
||||
B_reg = (qef_reg_scale * c_bx3).unsqueeze(-1)
|
||||
A = torch.cat([A, A_reg], 1)
|
||||
B = torch.cat([B, B_reg], 1)
|
||||
dual_verts = torch.linalg.lstsq(A, B).solution.squeeze(-1)
|
||||
return dual_verts
|
||||
|
||||
def _compute_vd(self, voxelgrid_vertices, surf_cubes_fx8, surf_edges, scalar_field,
|
||||
case_ids, beta, alpha, gamma_f, idx_map, qef_reg_scale, voxelgrid_colors):
|
||||
"""
|
||||
Computes the location of dual vertices as described in Section 4.2
|
||||
"""
|
||||
alpha_nx12x2 = torch.index_select(input=alpha, index=self.cube_edges, dim=1).reshape(-1, 12, 2)
|
||||
surf_edges_x = torch.index_select(input=voxelgrid_vertices, index=surf_edges.reshape(-1), dim=0).reshape(-1, 2, 3)
|
||||
surf_edges_s = torch.index_select(input=scalar_field, index=surf_edges.reshape(-1), dim=0).reshape(-1, 2, 1)
|
||||
zero_crossing = self._linear_interp(surf_edges_s, surf_edges_x)
|
||||
|
||||
if voxelgrid_colors is not None:
|
||||
C = voxelgrid_colors.shape[-1]
|
||||
surf_edges_c = torch.index_select(input=voxelgrid_colors, index=surf_edges.reshape(-1), dim=0).reshape(-1, 2, C)
|
||||
|
||||
idx_map = idx_map.reshape(-1, 12)
|
||||
num_vd = torch.index_select(input=self.num_vd_table, index=case_ids, dim=0)
|
||||
edge_group, edge_group_to_vd, edge_group_to_cube, vd_num_edges, vd_gamma = [], [], [], [], []
|
||||
|
||||
# if color is not None:
|
||||
# vd_color = []
|
||||
|
||||
total_num_vd = 0
|
||||
vd_idx_map = torch.zeros((case_ids.shape[0], 12), dtype=torch.long, device=self.device, requires_grad=False)
|
||||
|
||||
for num in torch.unique(num_vd):
|
||||
cur_cubes = (num_vd == num) # consider cubes with the same numbers of vd emitted (for batching)
|
||||
curr_num_vd = cur_cubes.sum() * num
|
||||
curr_edge_group = self.dmc_table[case_ids[cur_cubes], :num].reshape(-1, num * 7)
|
||||
curr_edge_group_to_vd = torch.arange(
|
||||
curr_num_vd, device=self.device).unsqueeze(-1).repeat(1, 7) + total_num_vd
|
||||
total_num_vd += curr_num_vd
|
||||
curr_edge_group_to_cube = torch.arange(idx_map.shape[0], device=self.device)[
|
||||
cur_cubes].unsqueeze(-1).repeat(1, num * 7).reshape_as(curr_edge_group)
|
||||
|
||||
curr_mask = (curr_edge_group != -1)
|
||||
edge_group.append(torch.masked_select(curr_edge_group, curr_mask))
|
||||
edge_group_to_vd.append(torch.masked_select(curr_edge_group_to_vd.reshape_as(curr_edge_group), curr_mask))
|
||||
edge_group_to_cube.append(torch.masked_select(curr_edge_group_to_cube, curr_mask))
|
||||
vd_num_edges.append(curr_mask.reshape(-1, 7).sum(-1, keepdims=True))
|
||||
vd_gamma.append(torch.masked_select(gamma_f, cur_cubes).unsqueeze(-1).repeat(1, num).reshape(-1))
|
||||
# if color is not None:
|
||||
# vd_color.append(color[cur_cubes].unsqueeze(1).repeat(1, num, 1).reshape(-1, 3))
|
||||
|
||||
edge_group = torch.cat(edge_group)
|
||||
edge_group_to_vd = torch.cat(edge_group_to_vd)
|
||||
edge_group_to_cube = torch.cat(edge_group_to_cube)
|
||||
vd_num_edges = torch.cat(vd_num_edges)
|
||||
vd_gamma = torch.cat(vd_gamma)
|
||||
# if color is not None:
|
||||
# vd_color = torch.cat(vd_color)
|
||||
# else:
|
||||
# vd_color = None
|
||||
|
||||
vd = torch.zeros((total_num_vd, 3), device=self.device)
|
||||
beta_sum = torch.zeros((total_num_vd, 1), device=self.device)
|
||||
|
||||
idx_group = torch.gather(input=idx_map.reshape(-1), dim=0, index=edge_group_to_cube * 12 + edge_group)
|
||||
|
||||
x_group = torch.index_select(input=surf_edges_x, index=idx_group.reshape(-1), dim=0).reshape(-1, 2, 3)
|
||||
s_group = torch.index_select(input=surf_edges_s, index=idx_group.reshape(-1), dim=0).reshape(-1, 2, 1)
|
||||
|
||||
|
||||
zero_crossing_group = torch.index_select(
|
||||
input=zero_crossing, index=idx_group.reshape(-1), dim=0).reshape(-1, 3)
|
||||
|
||||
alpha_group = torch.index_select(input=alpha_nx12x2.reshape(-1, 2), dim=0,
|
||||
index=edge_group_to_cube * 12 + edge_group).reshape(-1, 2, 1)
|
||||
ue_group = self._linear_interp(s_group * alpha_group, x_group)
|
||||
|
||||
beta_group = torch.gather(input=beta.reshape(-1), dim=0,
|
||||
index=edge_group_to_cube * 12 + edge_group).reshape(-1, 1)
|
||||
beta_sum = beta_sum.index_add_(0, index=edge_group_to_vd, source=beta_group)
|
||||
vd = vd.index_add_(0, index=edge_group_to_vd, source=ue_group * beta_group) / beta_sum
|
||||
|
||||
'''
|
||||
interpolate colors use the same method as dual vertices
|
||||
'''
|
||||
if voxelgrid_colors is not None:
|
||||
vd_color = torch.zeros((total_num_vd, C), device=self.device)
|
||||
c_group = torch.index_select(input=surf_edges_c, index=idx_group.reshape(-1), dim=0).reshape(-1, 2, C)
|
||||
uc_group = self._linear_interp(s_group * alpha_group, c_group)
|
||||
vd_color = vd_color.index_add_(0, index=edge_group_to_vd, source=uc_group * beta_group) / beta_sum
|
||||
else:
|
||||
vd_color = None
|
||||
|
||||
L_dev = self._compute_reg_loss(vd, zero_crossing_group, edge_group_to_vd, vd_num_edges)
|
||||
|
||||
v_idx = torch.arange(vd.shape[0], device=self.device) # + total_num_vd
|
||||
|
||||
vd_idx_map = (vd_idx_map.reshape(-1)).scatter(dim=0, index=edge_group_to_cube *
|
||||
12 + edge_group, src=v_idx[edge_group_to_vd])
|
||||
|
||||
return vd, L_dev, vd_gamma, vd_idx_map, vd_color
|
||||
|
||||
def _triangulate(self, scalar_field, surf_edges, vd, vd_gamma, edge_counts, idx_map, vd_idx_map, surf_edges_mask, training, vd_color):
|
||||
"""
|
||||
Connects four neighboring dual vertices to form a quadrilateral. The quadrilaterals are then split into
|
||||
triangles based on the gamma parameter, as described in Section 4.3.
|
||||
"""
|
||||
with torch.no_grad():
|
||||
group_mask = (edge_counts == 4) & surf_edges_mask # surface edges shared by 4 cubes.
|
||||
group = idx_map.reshape(-1)[group_mask]
|
||||
vd_idx = vd_idx_map[group_mask]
|
||||
edge_indices, indices = torch.sort(group, stable=True)
|
||||
quad_vd_idx = vd_idx[indices].reshape(-1, 4)
|
||||
|
||||
# Ensure all face directions point towards the positive SDF to maintain consistent winding.
|
||||
s_edges = scalar_field[surf_edges[edge_indices.reshape(-1, 4)[:, 0]].reshape(-1)].reshape(-1, 2)
|
||||
flip_mask = s_edges[:, 0] > 0
|
||||
quad_vd_idx = torch.cat((quad_vd_idx[flip_mask][:, [0, 1, 3, 2]],
|
||||
quad_vd_idx[~flip_mask][:, [2, 3, 1, 0]]))
|
||||
|
||||
quad_gamma = torch.index_select(input=vd_gamma, index=quad_vd_idx.reshape(-1), dim=0).reshape(-1, 4)
|
||||
gamma_02 = quad_gamma[:, 0] * quad_gamma[:, 2]
|
||||
gamma_13 = quad_gamma[:, 1] * quad_gamma[:, 3]
|
||||
if not training:
|
||||
mask = (gamma_02 > gamma_13)
|
||||
faces = torch.zeros((quad_gamma.shape[0], 6), dtype=torch.long, device=quad_vd_idx.device)
|
||||
faces[mask] = quad_vd_idx[mask][:, self.quad_split_1]
|
||||
faces[~mask] = quad_vd_idx[~mask][:, self.quad_split_2]
|
||||
faces = faces.reshape(-1, 3)
|
||||
else:
|
||||
vd_quad = torch.index_select(input=vd, index=quad_vd_idx.reshape(-1), dim=0).reshape(-1, 4, 3)
|
||||
vd_02 = (vd_quad[:, 0] + vd_quad[:, 2]) / 2
|
||||
vd_13 = (vd_quad[:, 1] + vd_quad[:, 3]) / 2
|
||||
weight_sum = (gamma_02 + gamma_13) + 1e-8
|
||||
vd_center = (vd_02 * gamma_02.unsqueeze(-1) + vd_13 * gamma_13.unsqueeze(-1)) / weight_sum.unsqueeze(-1)
|
||||
|
||||
if vd_color is not None:
|
||||
color_quad = torch.index_select(input=vd_color, index=quad_vd_idx.reshape(-1), dim=0).reshape(-1, 4, vd_color.shape[-1])
|
||||
color_02 = (color_quad[:, 0] + color_quad[:, 2]) / 2
|
||||
color_13 = (color_quad[:, 1] + color_quad[:, 3]) / 2
|
||||
color_center = (color_02 * gamma_02.unsqueeze(-1) + color_13 * gamma_13.unsqueeze(-1)) / weight_sum.unsqueeze(-1)
|
||||
vd_color = torch.cat([vd_color, color_center])
|
||||
|
||||
|
||||
vd_center_idx = torch.arange(vd_center.shape[0], device=self.device) + vd.shape[0]
|
||||
vd = torch.cat([vd, vd_center])
|
||||
faces = quad_vd_idx[:, self.quad_split_train].reshape(-1, 4, 2)
|
||||
faces = torch.cat([faces, vd_center_idx.reshape(-1, 1, 1).repeat(1, 4, 1)], -1).reshape(-1, 3)
|
||||
return vd, faces, s_edges, edge_indices, vd_color
|
||||
@@ -0,0 +1,791 @@
|
||||
# Copyright (c) 2023, NVIDIA CORPORATION & AFFILIATES. All rights reserved.
|
||||
#
|
||||
# NVIDIA CORPORATION & AFFILIATES and its licensors retain all intellectual property
|
||||
# and proprietary rights in and to this software, related documentation
|
||||
# and any modifications thereto. Any use, reproduction, disclosure or
|
||||
# distribution of this software and related documentation without an express
|
||||
# license agreement from NVIDIA CORPORATION & AFFILIATES is strictly prohibited.
|
||||
dmc_table = [
|
||||
[[-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 8, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 9, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 8, 9, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 7, 8, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 4, 7, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 9, -1, -1, -1, -1], [4, 7, 8, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 4, 7, 9, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 5, 9, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 8, -1, -1, -1, -1], [4, 5, 9, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 4, 5, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 4, 5, 8, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[5, 7, 8, 9, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 5, 7, 9, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 5, 7, 8, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 5, 7, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 8, 11, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 9, -1, -1, -1, -1], [2, 3, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 8, 9, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 7, 8, -1, -1, -1, -1], [2, 3, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 4, 7, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 9, -1, -1, -1, -1], [4, 7, 8, -1, -1, -1, -1], [2, 3, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 4, 7, 9, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 5, 9, -1, -1, -1, -1], [2, 3, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 8, 11, -1, -1, -1], [4, 5, 9, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 4, 5, -1, -1, -1], [2, 3, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 4, 5, 8, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[5, 7, 8, 9, -1, -1, -1], [2, 3, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 5, 7, 9, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 5, 7, 8, -1, -1], [2, 3, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 5, 7, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 8, -1, -1, -1, -1], [1, 2, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 9, 10, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 8, 9, 10, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 7, 8, -1, -1, -1, -1], [1, 2, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 4, 7, -1, -1, -1], [1, 2, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 9, 10, -1, -1, -1], [4, 7, 8, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 4, 7, 9, 10, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 5, 9, -1, -1, -1, -1], [1, 2, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 8, -1, -1, -1, -1], [4, 5, 9, -1, -1, -1, -1], [1, 2, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 4, 5, 10, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 4, 5, 8, 10, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[5, 7, 8, 9, -1, -1, -1], [1, 2, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 5, 7, 9, -1, -1], [1, 2, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 5, 7, 8, 10, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 5, 7, 10, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 10, 11, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 8, 10, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 9, 10, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[8, 9, 10, 11, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 7, 8, -1, -1, -1, -1], [1, 3, 10, 11, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 4, 7, 10, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 9, 10, 11, -1, -1], [4, 7, 8, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 7, 9, 10, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 5, 9, -1, -1, -1, -1], [1, 3, 10, 11, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 8, 10, 11, -1, -1], [4, 5, 9, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 4, 5, 10, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 5, 8, 10, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[5, 7, 8, 9, -1, -1, -1], [1, 3, 10, 11, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 5, 7, 9, 10, 11], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 5, 7, 8, 10, 11], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[5, 7, 10, 11, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[6, 7, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 8, -1, -1, -1, -1], [6, 7, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 9, -1, -1, -1, -1], [6, 7, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 8, 9, -1, -1, -1], [6, 7, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 6, 8, 11, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 4, 6, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 9, -1, -1, -1, -1], [4, 6, 8, 11, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 4, 6, 9, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 5, 9, -1, -1, -1, -1], [6, 7, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 8, -1, -1, -1, -1], [4, 5, 9, -1, -1, -1, -1], [6, 7, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 4, 5, -1, -1, -1], [6, 7, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 4, 5, 8, -1, -1], [6, 7, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[5, 6, 8, 9, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 5, 6, 9, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 5, 6, 8, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 5, 6, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 6, 7, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 6, 7, 8, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 9, -1, -1, -1, -1], [2, 3, 6, 7, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 6, 7, 8, 9, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 4, 6, 8, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 4, 6, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 9, -1, -1, -1, -1], [2, 3, 4, 6, 8, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 4, 6, 9, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 5, 9, -1, -1, -1, -1], [2, 3, 6, 7, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 6, 7, 8, -1, -1], [4, 5, 9, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 4, 5, -1, -1, -1], [2, 3, 6, 7, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 4, 5, 6, 7, 8], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 5, 6, 8, 9, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 5, 6, 9, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 2, 3, 5, 6, 8], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 5, 6, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 10, -1, -1, -1, -1], [6, 7, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 8, -1, -1, -1, -1], [1, 2, 10, -1, -1, -1, -1], [6, 7, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 9, 10, -1, -1, -1], [6, 7, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 8, 9, 10, -1, -1], [6, 7, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 6, 8, 11, -1, -1, -1], [1, 2, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 4, 6, 11, -1, -1], [1, 2, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 9, 10, -1, -1, -1], [4, 6, 8, 11, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 4, 6, 9, 10, 11], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 5, 9, -1, -1, -1, -1], [1, 2, 10, -1, -1, -1, -1], [6, 7, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 8, -1, -1, -1, -1], [4, 5, 9, -1, -1, -1, -1], [1, 2, 10, -1, -1, -1, -1], [6, 7, 11, -1, -1, -1, -1]],
|
||||
[[0, 2, 4, 5, 10, -1, -1], [6, 7, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 4, 5, 8, 10, -1], [6, 7, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[5, 6, 8, 9, 11, -1, -1], [1, 2, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 5, 6, 9, 11, -1], [1, 2, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 5, 6, 8, 10, 11], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 5, 6, 10, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 6, 7, 10, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 6, 7, 8, 10, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 6, 7, 9, 10, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[6, 7, 8, 9, 10, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 4, 6, 8, 10, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 4, 6, 10, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 4, 6, 8, 9, 10], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 6, 9, 10, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 5, 9, -1, -1, -1, -1], [1, 3, 6, 7, 10, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 6, 7, 8, 10, -1], [4, 5, 9, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 4, 5, 6, 7, 10], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 5, 6, 7, 8, 10, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 5, 6, 8, 9, 10], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 5, 6, 9, 10, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 8, -1, -1, -1, -1], [5, 6, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[5, 6, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[5, 6, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 8, -1, -1, -1, -1], [5, 6, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 9, -1, -1, -1, -1], [5, 6, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 8, 9, -1, -1, -1], [5, 6, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 7, 8, -1, -1, -1, -1], [5, 6, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 4, 7, -1, -1, -1], [5, 6, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 9, -1, -1, -1, -1], [4, 7, 8, -1, -1, -1, -1], [5, 6, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 4, 7, 9, -1, -1], [5, 6, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 6, 9, 10, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 8, -1, -1, -1, -1], [4, 6, 9, 10, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 4, 6, 10, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 4, 6, 8, 10, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[6, 7, 8, 9, 10, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 6, 7, 9, 10, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 6, 7, 8, 10, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 6, 7, 10, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 11, -1, -1, -1, -1], [5, 6, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 8, 11, -1, -1, -1], [5, 6, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 9, -1, -1, -1, -1], [2, 3, 11, -1, -1, -1, -1], [5, 6, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 8, 9, 11, -1, -1], [5, 6, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 7, 8, -1, -1, -1, -1], [2, 3, 11, -1, -1, -1, -1], [5, 6, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 4, 7, 11, -1, -1], [5, 6, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 9, -1, -1, -1, -1], [4, 7, 8, -1, -1, -1, -1], [2, 3, 11, -1, -1, -1, -1], [5, 6, 10, -1, -1, -1, -1]],
|
||||
[[1, 2, 4, 7, 9, 11, -1], [5, 6, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 6, 9, 10, -1, -1, -1], [2, 3, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 8, 11, -1, -1, -1], [4, 6, 9, 10, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 4, 6, 10, -1, -1], [2, 3, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 4, 6, 8, 10, 11], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[6, 7, 8, 9, 10, -1, -1], [2, 3, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 6, 7, 9, 10, 11], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 6, 7, 8, 10, -1], [2, 3, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 6, 7, 10, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 5, 6, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 8, -1, -1, -1, -1], [1, 2, 5, 6, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 5, 6, 9, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 5, 6, 8, 9, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 7, 8, -1, -1, -1, -1], [1, 2, 5, 6, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 4, 7, -1, -1, -1], [1, 2, 5, 6, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 5, 6, 9, -1, -1], [4, 7, 8, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 4, 5, 6, 7, 9], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 4, 6, 9, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 8, -1, -1, -1, -1], [1, 2, 4, 6, 9, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 4, 6, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 4, 6, 8, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 6, 7, 8, 9, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 2, 3, 6, 7, 9], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 6, 7, 8, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 6, 7, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 5, 6, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 5, 6, 8, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 5, 6, 9, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[5, 6, 8, 9, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 7, 8, -1, -1, -1, -1], [1, 3, 5, 6, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 4, 5, 6, 7, 11], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 5, 6, 9, 11, -1], [4, 7, 8, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 5, 6, 7, 9, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 4, 6, 9, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 4, 6, 8, 9, 11], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 4, 6, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 6, 8, 11, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 6, 7, 8, 9, 11], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 9, -1, -1, -1, -1], [6, 7, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 6, 7, 8, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[6, 7, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[5, 7, 10, 11, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 8, -1, -1, -1, -1], [5, 7, 10, 11, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 9, -1, -1, -1, -1], [5, 7, 10, 11, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 8, 9, -1, -1, -1], [5, 7, 10, 11, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 5, 8, 10, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 4, 5, 10, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 9, -1, -1, -1, -1], [4, 5, 8, 10, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 4, 5, 9, 10, 11], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 7, 9, 10, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 8, -1, -1, -1, -1], [4, 7, 9, 10, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 4, 7, 10, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 4, 7, 8, 10, 11], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[8, 9, 10, 11, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 9, 10, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 8, 10, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 10, 11, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 5, 7, 10, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 5, 7, 8, 10, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 9, -1, -1, -1, -1], [2, 3, 5, 7, 10, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 5, 7, 8, 9, 10], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 4, 5, 8, 10, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 4, 5, 10, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 9, -1, -1, -1, -1], [2, 3, 4, 5, 8, 10, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 4, 5, 9, 10, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 4, 7, 9, 10, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 4, 7, 8, 9, 10], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 2, 3, 4, 7, 10], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 7, 8, -1, -1, -1, -1], [1, 2, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 8, 9, 10, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 9, 10, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 2, 3, 8, 10, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 10, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 5, 7, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 8, -1, -1, -1, -1], [1, 2, 5, 7, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 5, 7, 9, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 5, 7, 8, 9, 11], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 4, 5, 8, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 2, 3, 4, 5, 11], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 4, 5, 8, 9, 11], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 5, 9, -1, -1, -1, -1], [2, 3, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 4, 7, 9, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 8, -1, -1, -1, -1], [1, 2, 4, 7, 9, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 4, 7, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 4, 7, 8, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 2, 8, 9, 11, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 2, 3, 9, 11, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 2, 8, 11, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[2, 3, 11, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 5, 7, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 5, 7, 8, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 5, 7, 9, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[5, 7, 8, 9, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 4, 5, 8, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 4, 5, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 4, 5, 8, 9, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 5, 9, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 4, 7, 9, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 4, 7, 8, 9, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 4, 7, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[4, 7, 8, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[1, 3, 8, 9, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 1, 9, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[0, 3, 8, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]],
|
||||
[[-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1]]
|
||||
]
|
||||
num_vd_table = [0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 2, 2,
|
||||
2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2,
|
||||
1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 2, 2, 1, 1, 1, 1,
|
||||
1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 3, 4, 2,
|
||||
2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2,
|
||||
3, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 3, 2, 4, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1,
|
||||
2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1,
|
||||
1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2,
|
||||
1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1,
|
||||
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0]
|
||||
check_table = [
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 1, 0, 0, 194],
|
||||
[1, -1, 0, 0, 193],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, 1, 0, 164],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, -1, 0, 161],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, 0, 1, 152],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, 0, 1, 145],
|
||||
[1, 0, 0, 1, 144],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, 0, -1, 137],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, 1, 0, 133],
|
||||
[1, 0, 1, 0, 132],
|
||||
[1, 1, 0, 0, 131],
|
||||
[1, 1, 0, 0, 130],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, 0, 1, 100],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, 0, 1, 98],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, 0, 1, 96],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, 1, 0, 88],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, -1, 0, 82],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, 1, 0, 74],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, 1, 0, 72],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, 0, -1, 70],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, -1, 0, 0, 67],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, -1, 0, 0, 65],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 1, 0, 0, 56],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, -1, 0, 0, 52],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 1, 0, 0, 44],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 1, 0, 0, 40],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, 0, -1, 38],
|
||||
[1, 0, -1, 0, 37],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, -1, 0, 33],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, -1, 0, 0, 28],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, -1, 0, 26],
|
||||
[1, 0, 0, -1, 25],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, -1, 0, 0, 20],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, -1, 0, 18],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, 0, -1, 9],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[1, 0, 0, -1, 6],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0]
|
||||
]
|
||||
tet_table = [
|
||||
[-1, -1, -1, -1, -1, -1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[4, 4, 4, 4, 4, 4],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[4, 0, 0, 4, 4, -1],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[4, 4, 4, 4, 4, 4],
|
||||
[0, 4, 0, 4, 4, -1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[5, 5, 5, 5, 5, 5],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[2, 0, 2, -1, 0, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[2, -1, 2, 4, 4, 2],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[2, 0, 2, 4, 4, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[2, 4, 2, 4, 4, 2],
|
||||
[0, 4, 0, 4, 4, 0],
|
||||
[2, 0, 2, 0, 0, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[2, 5, 2, 5, 5, 2],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[2, 0, 2, 0, 0, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[0, 1, 1, -1, 0, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[4, 1, 1, 4, 4, 1],
|
||||
[0, 1, 1, 0, 0, 1],
|
||||
[4, 0, 0, 4, 4, 0],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[-1, 1, 1, 4, 4, 1],
|
||||
[0, 1, 1, 4, 4, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[5, 1, 1, 5, 5, 1],
|
||||
[0, 1, 1, 0, 0, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[8, 8, 8, 8, 8, 8],
|
||||
[1, 1, 1, 4, 4, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[4, 0, 0, 4, 4, 0],
|
||||
[4, 4, 4, 4, 4, 4],
|
||||
[1, 1, 1, 4, 4, 1],
|
||||
[0, 4, 0, 4, 4, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[4, 4, 4, 4, 4, 4],
|
||||
[1, 1, 1, 5, 5, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[5, 5, 5, 5, 5, 5],
|
||||
[6, 6, 6, 6, 6, 6],
|
||||
[6, -1, 0, 6, 0, 6],
|
||||
[6, 0, 0, 6, 0, 6],
|
||||
[6, 1, 1, 6, 1, 6],
|
||||
[4, 4, 4, 4, 4, 4],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[4, 0, 0, 4, 4, 4],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[6, 4, -1, 6, 4, 6],
|
||||
[6, 4, 0, 6, 4, 6],
|
||||
[6, 0, 0, 6, 0, 6],
|
||||
[6, 1, 1, 6, 1, 6],
|
||||
[5, 5, 5, 5, 5, 5],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[2, 0, 2, 2, 0, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[2, 0, 2, 2, 2, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[2, 4, 2, 2, 4, 2],
|
||||
[0, 4, 0, 4, 4, 0],
|
||||
[2, 0, 2, 2, 0, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[6, 1, 1, 6, -1, 6],
|
||||
[6, 1, 1, 6, 0, 6],
|
||||
[6, 0, 0, 6, 0, 6],
|
||||
[6, 2, 2, 6, 2, 6],
|
||||
[4, 1, 1, 4, 4, 1],
|
||||
[0, 1, 1, 0, 0, 1],
|
||||
[4, 0, 0, 4, 4, 4],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[6, 1, 1, 6, 4, 6],
|
||||
[6, 1, 1, 6, 4, 6],
|
||||
[6, 0, 0, 6, 0, 6],
|
||||
[6, 2, 2, 6, 2, 6],
|
||||
[5, 1, 1, 5, 5, 1],
|
||||
[0, 1, 1, 0, 0, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[6, 6, 6, 6, 6, 6],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[4, 4, 4, 4, 4, 4],
|
||||
[1, 1, 1, 1, 4, 1],
|
||||
[0, 4, 0, 4, 4, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[4, 4, 4, 4, 4, 4],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 5, 0, 5, 0, 5],
|
||||
[5, 5, 5, 5, 5, 5],
|
||||
[5, 5, 5, 5, 5, 5],
|
||||
[0, 5, 0, 5, 0, 5],
|
||||
[-1, 5, 0, 5, 0, 5],
|
||||
[1, 5, 1, 5, 1, 5],
|
||||
[4, 5, -1, 5, 4, 5],
|
||||
[0, 5, 0, 5, 0, 5],
|
||||
[4, 5, 0, 5, 4, 5],
|
||||
[1, 5, 1, 5, 1, 5],
|
||||
[4, 4, 4, 4, 4, 4],
|
||||
[0, 4, 0, 4, 4, 4],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[6, 6, 6, 6, 6, 6],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[2, 5, 2, 5, -1, 5],
|
||||
[0, 5, 0, 5, 0, 5],
|
||||
[2, 5, 2, 5, 0, 5],
|
||||
[1, 5, 1, 5, 1, 5],
|
||||
[2, 5, 2, 5, 4, 5],
|
||||
[0, 5, 0, 5, 0, 5],
|
||||
[2, 5, 2, 5, 4, 5],
|
||||
[1, 5, 1, 5, 1, 5],
|
||||
[2, 4, 2, 4, 4, 2],
|
||||
[0, 4, 0, 4, 4, 4],
|
||||
[2, 0, 2, 0, 0, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[2, 6, 2, 6, 6, 2],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[2, 0, 2, 0, 0, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[0, 1, 1, 1, 0, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[4, 1, 1, 1, 4, 1],
|
||||
[0, 1, 1, 1, 0, 1],
|
||||
[4, 0, 0, 4, 4, 0],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[0, 1, 1, 1, 1, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[5, 5, 5, 5, 5, 5],
|
||||
[1, 1, 1, 1, 4, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[4, 0, 0, 4, 4, 0],
|
||||
[4, 4, 4, 4, 4, 4],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[4, 4, 4, 4, 4, 4],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[6, 0, 0, 6, 0, 6],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[6, 6, 6, 6, 6, 6],
|
||||
[5, 5, 5, 5, 5, 5],
|
||||
[5, 5, 0, 5, 0, 5],
|
||||
[5, 5, 0, 5, 0, 5],
|
||||
[5, 5, 1, 5, 1, 5],
|
||||
[4, 4, 4, 4, 4, 4],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[4, 4, 0, 4, 4, 4],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[4, 4, 4, 4, 4, 4],
|
||||
[4, 4, 0, 4, 4, 4],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[8, 8, 8, 8, 8, 8],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[2, 2, 2, 2, 0, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[4, 1, 1, 4, 4, 1],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[1, 1, 1, 1, 0, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[2, 4, 2, 4, 4, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[2, 2, 2, 2, 2, 2],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[5, 5, 5, 5, 5, 5],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[4, 4, 4, 4, 4, 4],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[4, 4, 4, 4, 4, 4],
|
||||
[1, 1, 1, 1, 1, 1],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[0, 0, 0, 0, 0, 0],
|
||||
[12, 12, 12, 12, 12, 12]
|
||||
]
|
||||
@@ -0,0 +1,61 @@
|
||||
import torch
|
||||
cube_corners = torch.tensor([[0, 0, 0], [1, 0, 0], [0, 1, 0], [1, 1, 0], [0, 0, 1], [
|
||||
1, 0, 1], [0, 1, 1], [1, 1, 1]], dtype=torch.int)
|
||||
cube_neighbor = torch.tensor([[1, 0, 0], [-1, 0, 0], [0, 1, 0], [0, -1, 0], [0, 0, 1], [0, 0, -1]])
|
||||
cube_edges = torch.tensor([0, 1, 1, 5, 4, 5, 0, 4, 2, 3, 3, 7, 6, 7, 2, 6,
|
||||
2, 0, 3, 1, 7, 5, 6, 4], dtype=torch.long, requires_grad=False)
|
||||
|
||||
def construct_dense_grid(res, device='cuda'):
|
||||
'''construct a dense grid based on resolution'''
|
||||
res_v = res + 1
|
||||
vertsid = torch.arange(res_v ** 3, device=device)
|
||||
coordsid = vertsid.reshape(res_v, res_v, res_v)[:res, :res, :res].flatten()
|
||||
cube_corners_bias = (cube_corners[:, 0] * res_v + cube_corners[:, 1]) * res_v + cube_corners[:, 2]
|
||||
cube_fx8 = (coordsid.unsqueeze(1) + cube_corners_bias.unsqueeze(0).to(device))
|
||||
verts = torch.stack([vertsid // (res_v ** 2), (vertsid // res_v) % res_v, vertsid % res_v], dim=1)
|
||||
return verts, cube_fx8
|
||||
|
||||
|
||||
def construct_voxel_grid(coords):
|
||||
verts = (cube_corners.unsqueeze(0).to(coords) + coords.unsqueeze(1)).reshape(-1, 3)
|
||||
verts_unique, inverse_indices = torch.unique(verts, dim=0, return_inverse=True)
|
||||
cubes = inverse_indices.reshape(-1, 8)
|
||||
return verts_unique, cubes
|
||||
|
||||
|
||||
def cubes_to_verts(num_verts, cubes, value, reduce='mean'):
|
||||
"""
|
||||
Args:
|
||||
cubes [Vx8] verts index for each cube
|
||||
value [Vx8xM] value to be scattered
|
||||
Operation:
|
||||
reduced[cubes[i][j]][k] += value[i][k]
|
||||
"""
|
||||
M = value.shape[2] # number of channels
|
||||
reduced = torch.zeros(num_verts, M, device=cubes.device)
|
||||
return torch.scatter_reduce(reduced, 0,
|
||||
cubes.unsqueeze(-1).expand(-1, -1, M).flatten(0, 1),
|
||||
value.flatten(0, 1), reduce=reduce, include_self=False)
|
||||
|
||||
def sparse_cube2verts(coords, feats, training=True):
|
||||
new_coords, cubes = construct_voxel_grid(coords)
|
||||
new_feats = cubes_to_verts(new_coords.shape[0], cubes, feats)
|
||||
if training:
|
||||
con_loss = torch.mean((feats - new_feats[cubes]) ** 2)
|
||||
else:
|
||||
con_loss = 0.0
|
||||
return new_coords, new_feats, con_loss
|
||||
|
||||
|
||||
def get_dense_attrs(coords : torch.Tensor, feats : torch.Tensor, res : int, sdf_init=True):
|
||||
F = feats.shape[-1]
|
||||
dense_attrs = torch.zeros([res] * 3 + [F], device=feats.device)
|
||||
if sdf_init:
|
||||
dense_attrs[..., 0] = 1 # initial outside sdf value
|
||||
dense_attrs[coords[:, 0], coords[:, 1], coords[:, 2], :] = feats
|
||||
return dense_attrs.reshape(-1, F)
|
||||
|
||||
|
||||
def get_defomed_verts(v_pos : torch.Tensor, deform : torch.Tensor, res):
|
||||
return v_pos / res - 0.5 + (1 - 1e-8) / (res * 2) * torch.tanh(deform)
|
||||
|
||||
@@ -0,0 +1 @@
|
||||
from .octree_dfs import DfsOctree
|
||||
@@ -0,0 +1,362 @@
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
import torch.nn.functional as F
|
||||
|
||||
|
||||
DEFAULT_TRIVEC_CONFIG = {
|
||||
'dim': 8,
|
||||
'rank': 8,
|
||||
}
|
||||
|
||||
DEFAULT_VOXEL_CONFIG = {
|
||||
'solid': False,
|
||||
}
|
||||
|
||||
DEFAULT_DECOPOLY_CONFIG = {
|
||||
'degree': 8,
|
||||
'rank': 16,
|
||||
}
|
||||
|
||||
|
||||
class DfsOctree:
|
||||
"""
|
||||
Sparse Voxel Octree (SVO) implementation for PyTorch.
|
||||
Using Depth-First Search (DFS) order to store the octree.
|
||||
DFS order suits rendering and ray tracing.
|
||||
|
||||
The structure and data are separatedly stored.
|
||||
Structure is stored as a continuous array, each element is a 3*32 bits descriptor.
|
||||
|-----------------------------------------|
|
||||
| 0:3 bits | 4:31 bits |
|
||||
| leaf num | unused |
|
||||
|-----------------------------------------|
|
||||
| 0:31 bits |
|
||||
| child ptr |
|
||||
|-----------------------------------------|
|
||||
| 0:31 bits |
|
||||
| data ptr |
|
||||
|-----------------------------------------|
|
||||
Each element represents a non-leaf node in the octree.
|
||||
The valid mask is used to indicate whether the children are valid.
|
||||
The leaf mask is used to indicate whether the children are leaf nodes.
|
||||
The child ptr is used to point to the first non-leaf child. Non-leaf children descriptors are stored continuously from the child ptr.
|
||||
The data ptr is used to point to the data of leaf children. Leaf children data are stored continuously from the data ptr.
|
||||
|
||||
There are also auxiliary arrays to store the additional structural information to facilitate parallel processing.
|
||||
- Position: the position of the octree nodes.
|
||||
- Depth: the depth of the octree nodes.
|
||||
|
||||
Args:
|
||||
depth (int): the depth of the octree.
|
||||
"""
|
||||
|
||||
def __init__(
|
||||
self,
|
||||
depth,
|
||||
aabb=[0,0,0,1,1,1],
|
||||
sh_degree=2,
|
||||
primitive='voxel',
|
||||
primitive_config={},
|
||||
device='cuda',
|
||||
):
|
||||
self.max_depth = depth
|
||||
self.aabb = torch.tensor(aabb, dtype=torch.float32, device=device)
|
||||
self.device = device
|
||||
self.sh_degree = sh_degree
|
||||
self.active_sh_degree = sh_degree
|
||||
self.primitive = primitive
|
||||
self.primitive_config = primitive_config
|
||||
|
||||
self.structure = torch.tensor([[8, 1, 0]], dtype=torch.int32, device=self.device)
|
||||
self.position = torch.zeros((8, 3), dtype=torch.float32, device=self.device)
|
||||
self.depth = torch.zeros((8, 1), dtype=torch.uint8, device=self.device)
|
||||
self.position[:, 0] = torch.tensor([0.25, 0.75, 0.25, 0.75, 0.25, 0.75, 0.25, 0.75], device=self.device)
|
||||
self.position[:, 1] = torch.tensor([0.25, 0.25, 0.75, 0.75, 0.25, 0.25, 0.75, 0.75], device=self.device)
|
||||
self.position[:, 2] = torch.tensor([0.25, 0.25, 0.25, 0.25, 0.75, 0.75, 0.75, 0.75], device=self.device)
|
||||
self.depth[:, 0] = 1
|
||||
|
||||
self.data = ['position', 'depth']
|
||||
self.param_names = []
|
||||
|
||||
if primitive == 'voxel':
|
||||
self.features_dc = torch.zeros((8, 1, 3), dtype=torch.float32, device=self.device)
|
||||
self.features_ac = torch.zeros((8, (sh_degree+1)**2-1, 3), dtype=torch.float32, device=self.device)
|
||||
self.data += ['features_dc', 'features_ac']
|
||||
self.param_names += ['features_dc', 'features_ac']
|
||||
if not primitive_config.get('solid', False):
|
||||
self.density = torch.zeros((8, 1), dtype=torch.float32, device=self.device)
|
||||
self.data.append('density')
|
||||
self.param_names.append('density')
|
||||
elif primitive == 'gaussian':
|
||||
self.features_dc = torch.zeros((8, 1, 3), dtype=torch.float32, device=self.device)
|
||||
self.features_ac = torch.zeros((8, (sh_degree+1)**2-1, 3), dtype=torch.float32, device=self.device)
|
||||
self.opacity = torch.zeros((8, 1), dtype=torch.float32, device=self.device)
|
||||
self.data += ['features_dc', 'features_ac', 'opacity']
|
||||
self.param_names += ['features_dc', 'features_ac', 'opacity']
|
||||
elif primitive == 'trivec':
|
||||
self.trivec = torch.zeros((8, primitive_config['rank'], 3, primitive_config['dim']), dtype=torch.float32, device=self.device)
|
||||
self.density = torch.zeros((8, primitive_config['rank']), dtype=torch.float32, device=self.device)
|
||||
self.features_dc = torch.zeros((8, primitive_config['rank'], 1, 3), dtype=torch.float32, device=self.device)
|
||||
self.features_ac = torch.zeros((8, primitive_config['rank'], (sh_degree+1)**2-1, 3), dtype=torch.float32, device=self.device)
|
||||
self.density_shift = 0
|
||||
self.data += ['trivec', 'density', 'features_dc', 'features_ac']
|
||||
self.param_names += ['trivec', 'density', 'features_dc', 'features_ac']
|
||||
elif primitive == 'decoupoly':
|
||||
self.decoupoly_V = torch.zeros((8, primitive_config['rank'], 3), dtype=torch.float32, device=self.device)
|
||||
self.decoupoly_g = torch.zeros((8, primitive_config['rank'], primitive_config['degree']), dtype=torch.float32, device=self.device)
|
||||
self.density = torch.zeros((8, primitive_config['rank']), dtype=torch.float32, device=self.device)
|
||||
self.features_dc = torch.zeros((8, primitive_config['rank'], 1, 3), dtype=torch.float32, device=self.device)
|
||||
self.features_ac = torch.zeros((8, primitive_config['rank'], (sh_degree+1)**2-1, 3), dtype=torch.float32, device=self.device)
|
||||
self.density_shift = 0
|
||||
self.data += ['decoupoly_V', 'decoupoly_g', 'density', 'features_dc', 'features_ac']
|
||||
self.param_names += ['decoupoly_V', 'decoupoly_g', 'density', 'features_dc', 'features_ac']
|
||||
|
||||
self.setup_functions()
|
||||
|
||||
def setup_functions(self):
|
||||
self.density_activation = (lambda x: torch.exp(x - 2)) if self.primitive != 'trivec' else (lambda x: x)
|
||||
self.opacity_activation = lambda x: torch.sigmoid(x - 6)
|
||||
self.inverse_opacity_activation = lambda x: torch.log(x / (1 - x)) + 6
|
||||
self.color_activation = lambda x: torch.sigmoid(x)
|
||||
|
||||
@property
|
||||
def num_non_leaf_nodes(self):
|
||||
return self.structure.shape[0]
|
||||
|
||||
@property
|
||||
def num_leaf_nodes(self):
|
||||
return self.depth.shape[0]
|
||||
|
||||
@property
|
||||
def cur_depth(self):
|
||||
return self.depth.max().item()
|
||||
|
||||
@property
|
||||
def occupancy(self):
|
||||
return self.num_leaf_nodes / 8 ** self.cur_depth
|
||||
|
||||
@property
|
||||
def get_xyz(self):
|
||||
return self.position
|
||||
|
||||
@property
|
||||
def get_depth(self):
|
||||
return self.depth
|
||||
|
||||
@property
|
||||
def get_density(self):
|
||||
if self.primitive == 'voxel' and self.voxel_config['solid']:
|
||||
return torch.full((self.position.shape[0], 1), 1000, dtype=torch.float32, device=self.device)
|
||||
return self.density_activation(self.density)
|
||||
|
||||
@property
|
||||
def get_opacity(self):
|
||||
return self.opacity_activation(self.density)
|
||||
|
||||
@property
|
||||
def get_trivec(self):
|
||||
return self.trivec
|
||||
|
||||
@property
|
||||
def get_decoupoly(self):
|
||||
return F.normalize(self.decoupoly_V, dim=-1), self.decoupoly_g
|
||||
|
||||
@property
|
||||
def get_color(self):
|
||||
return self.color_activation(self.colors)
|
||||
|
||||
@property
|
||||
def get_features(self):
|
||||
if self.sh_degree == 0:
|
||||
return self.features_dc
|
||||
return torch.cat([self.features_dc, self.features_ac], dim=-2)
|
||||
|
||||
def state_dict(self):
|
||||
ret = {'structure': self.structure, 'position': self.position, 'depth': self.depth, 'sh_degree': self.sh_degree, 'active_sh_degree': self.active_sh_degree, 'trivec_config': self.trivec_config, 'voxel_config': self.voxel_config, 'primitive': self.primitive}
|
||||
if hasattr(self, 'density_shift'):
|
||||
ret['density_shift'] = self.density_shift
|
||||
for data in set(self.data + self.param_names):
|
||||
if not isinstance(getattr(self, data), nn.Module):
|
||||
ret[data] = getattr(self, data)
|
||||
else:
|
||||
ret[data] = getattr(self, data).state_dict()
|
||||
return ret
|
||||
|
||||
def load_state_dict(self, state_dict):
|
||||
keys = list(set(self.data + self.param_names + list(state_dict.keys()) + ['structure', 'position', 'depth']))
|
||||
for key in keys:
|
||||
if key not in state_dict:
|
||||
print(f"Warning: key {key} not found in the state_dict.")
|
||||
continue
|
||||
try:
|
||||
if not isinstance(getattr(self, key), nn.Module):
|
||||
setattr(self, key, state_dict[key])
|
||||
else:
|
||||
getattr(self, key).load_state_dict(state_dict[key])
|
||||
except Exception as e:
|
||||
print(e)
|
||||
raise ValueError(f"Error loading key {key}.")
|
||||
|
||||
def gather_from_leaf_children(self, data):
|
||||
"""
|
||||
Gather the data from the leaf children.
|
||||
|
||||
Args:
|
||||
data (torch.Tensor): the data to gather. The first dimension should be the number of leaf nodes.
|
||||
"""
|
||||
leaf_cnt = self.structure[:, 0]
|
||||
leaf_cnt_masks = [leaf_cnt == i for i in range(1, 9)]
|
||||
ret = torch.zeros((self.num_non_leaf_nodes,), dtype=data.dtype, device=self.device)
|
||||
for i in range(8):
|
||||
if leaf_cnt_masks[i].sum() == 0:
|
||||
continue
|
||||
start = self.structure[leaf_cnt_masks[i], 2]
|
||||
for j in range(i+1):
|
||||
ret[leaf_cnt_masks[i]] += data[start + j]
|
||||
return ret
|
||||
|
||||
def gather_from_non_leaf_children(self, data):
|
||||
"""
|
||||
Gather the data from the non-leaf children.
|
||||
|
||||
Args:
|
||||
data (torch.Tensor): the data to gather. The first dimension should be the number of leaf nodes.
|
||||
"""
|
||||
non_leaf_cnt = 8 - self.structure[:, 0]
|
||||
non_leaf_cnt_masks = [non_leaf_cnt == i for i in range(1, 9)]
|
||||
ret = torch.zeros_like(data, device=self.device)
|
||||
for i in range(8):
|
||||
if non_leaf_cnt_masks[i].sum() == 0:
|
||||
continue
|
||||
start = self.structure[non_leaf_cnt_masks[i], 1]
|
||||
for j in range(i+1):
|
||||
ret[non_leaf_cnt_masks[i]] += data[start + j]
|
||||
return ret
|
||||
|
||||
def structure_control(self, mask):
|
||||
"""
|
||||
Control the structure of the octree.
|
||||
|
||||
Args:
|
||||
mask (torch.Tensor): the mask to control the structure. 1 for subdivide, -1 for merge, 0 for keep.
|
||||
"""
|
||||
# Dont subdivide when the depth is the maximum.
|
||||
mask[self.depth.squeeze() == self.max_depth] = torch.clamp_max(mask[self.depth.squeeze() == self.max_depth], 0)
|
||||
# Dont merge when the depth is the minimum.
|
||||
mask[self.depth.squeeze() == 1] = torch.clamp_min(mask[self.depth.squeeze() == 1], 0)
|
||||
|
||||
# Gather control mask
|
||||
structre_ctrl = self.gather_from_leaf_children(mask)
|
||||
structre_ctrl[structre_ctrl==-8] = -1
|
||||
|
||||
new_leaf_num = self.structure[:, 0].clone()
|
||||
# Modify the leaf num.
|
||||
structre_valid = structre_ctrl >= 0
|
||||
new_leaf_num[structre_valid] -= structre_ctrl[structre_valid] # Add the new nodes.
|
||||
structre_delete = structre_ctrl < 0
|
||||
merged_nodes = self.gather_from_non_leaf_children(structre_delete.int())
|
||||
new_leaf_num += merged_nodes # Delete the merged nodes.
|
||||
|
||||
# Update the structure array to allocate new nodes.
|
||||
mem_offset = torch.zeros((self.num_non_leaf_nodes + 1,), dtype=torch.int32, device=self.device)
|
||||
mem_offset.index_add_(0, self.structure[structre_valid, 1], structre_ctrl[structre_valid]) # Add the new nodes.
|
||||
mem_offset[:-1] -= structre_delete.int() # Delete the merged nodes.
|
||||
new_structre_idx = torch.arange(0, self.num_non_leaf_nodes + 1, dtype=torch.int32, device=self.device) + mem_offset.cumsum(0)
|
||||
new_structure_length = new_structre_idx[-1].item()
|
||||
new_structre_idx = new_structre_idx[:-1]
|
||||
new_structure = torch.empty((new_structure_length, 3), dtype=torch.int32, device=self.device)
|
||||
new_structure[new_structre_idx[structre_valid], 0] = new_leaf_num[structre_valid]
|
||||
|
||||
# Initialize the new nodes.
|
||||
new_node_mask = torch.ones((new_structure_length,), dtype=torch.bool, device=self.device)
|
||||
new_node_mask[new_structre_idx[structre_valid]] = False
|
||||
new_structure[new_node_mask, 0] = 8 # Initialize to all leaf nodes.
|
||||
new_node_num = new_node_mask.sum().item()
|
||||
|
||||
# Rebuild child ptr.
|
||||
non_leaf_cnt = 8 - new_structure[:, 0]
|
||||
new_child_ptr = torch.cat([torch.zeros((1,), dtype=torch.int32, device=self.device), non_leaf_cnt.cumsum(0)[:-1]])
|
||||
new_structure[:, 1] = new_child_ptr + 1
|
||||
|
||||
# Rebuild data ptr with old data.
|
||||
leaf_cnt = torch.zeros((new_structure_length,), dtype=torch.int32, device=self.device)
|
||||
leaf_cnt.index_add_(0, new_structre_idx, self.structure[:, 0])
|
||||
old_data_ptr = torch.cat([torch.zeros((1,), dtype=torch.int32, device=self.device), leaf_cnt.cumsum(0)[:-1]])
|
||||
|
||||
# Update the data array
|
||||
subdivide_mask = mask == 1
|
||||
merge_mask = mask == -1
|
||||
data_valid = ~(subdivide_mask | merge_mask)
|
||||
mem_offset = torch.zeros((self.num_leaf_nodes + 1,), dtype=torch.int32, device=self.device)
|
||||
mem_offset.index_add_(0, old_data_ptr[new_node_mask], torch.full((new_node_num,), 8, dtype=torch.int32, device=self.device)) # Add data array for new nodes
|
||||
mem_offset[:-1] -= subdivide_mask.int() # Delete data elements for subdivide nodes
|
||||
mem_offset[:-1] -= merge_mask.int() # Delete data elements for merge nodes
|
||||
mem_offset.index_add_(0, self.structure[structre_valid, 2], merged_nodes[structre_valid]) # Add data elements for merge nodes
|
||||
new_data_idx = torch.arange(0, self.num_leaf_nodes + 1, dtype=torch.int32, device=self.device) + mem_offset.cumsum(0)
|
||||
new_data_length = new_data_idx[-1].item()
|
||||
new_data_idx = new_data_idx[:-1]
|
||||
new_data = {data: torch.empty((new_data_length,) + getattr(self, data).shape[1:], dtype=getattr(self, data).dtype, device=self.device) for data in self.data}
|
||||
for data in self.data:
|
||||
new_data[data][new_data_idx[data_valid]] = getattr(self, data)[data_valid]
|
||||
|
||||
# Rebuild data ptr
|
||||
leaf_cnt = new_structure[:, 0]
|
||||
new_data_ptr = torch.cat([torch.zeros((1,), dtype=torch.int32, device=self.device), leaf_cnt.cumsum(0)[:-1]])
|
||||
new_structure[:, 2] = new_data_ptr
|
||||
|
||||
# Initialize the new data array
|
||||
## For subdivide nodes
|
||||
if subdivide_mask.sum() > 0:
|
||||
subdivide_data_ptr = new_structure[new_node_mask, 2]
|
||||
for data in self.data:
|
||||
for i in range(8):
|
||||
if data == 'position':
|
||||
offset = torch.tensor([i // 4, (i // 2) % 2, i % 2], dtype=torch.float32, device=self.device) - 0.5
|
||||
scale = 2 ** (-1.0 - self.depth[subdivide_mask])
|
||||
new_data['position'][subdivide_data_ptr + i] = self.position[subdivide_mask] + offset * scale
|
||||
elif data == 'depth':
|
||||
new_data['depth'][subdivide_data_ptr + i] = self.depth[subdivide_mask] + 1
|
||||
elif data == 'opacity':
|
||||
new_data['opacity'][subdivide_data_ptr + i] = self.inverse_opacity_activation(torch.sqrt(self.opacity_activation(self.opacity[subdivide_mask])))
|
||||
elif data == 'trivec':
|
||||
offset = torch.tensor([i // 4, (i // 2) % 2, i % 2], dtype=torch.float32, device=self.device) * 0.5
|
||||
coord = (torch.linspace(0, 0.5, self.trivec.shape[-1], dtype=torch.float32, device=self.device)[None] + offset[:, None]).reshape(1, 3, self.trivec.shape[-1], 1)
|
||||
axis = torch.linspace(0, 1, 3, dtype=torch.float32, device=self.device).reshape(1, 3, 1, 1).repeat(1, 1, self.trivec.shape[-1], 1)
|
||||
coord = torch.stack([coord, axis], dim=3).reshape(1, 3, self.trivec.shape[-1], 2).expand(self.trivec[subdivide_mask].shape[0], -1, -1, -1) * 2 - 1
|
||||
new_data['trivec'][subdivide_data_ptr + i] = F.grid_sample(self.trivec[subdivide_mask], coord, align_corners=True)
|
||||
else:
|
||||
new_data[data][subdivide_data_ptr + i] = getattr(self, data)[subdivide_mask]
|
||||
## For merge nodes
|
||||
if merge_mask.sum() > 0:
|
||||
merge_data_ptr = torch.empty((merged_nodes.sum().item(),), dtype=torch.int32, device=self.device)
|
||||
merge_nodes_cumsum = torch.cat([torch.zeros((1,), dtype=torch.int32, device=self.device), merged_nodes.cumsum(0)[:-1]])
|
||||
for i in range(8):
|
||||
merge_data_ptr[merge_nodes_cumsum[merged_nodes > i] + i] = new_structure[new_structre_idx[merged_nodes > i], 2] + i
|
||||
old_merge_data_ptr = self.structure[structre_delete, 2]
|
||||
for data in self.data:
|
||||
if data == 'position':
|
||||
scale = 2 ** (1.0 - self.depth[old_merge_data_ptr])
|
||||
new_data['position'][merge_data_ptr] = ((self.position[old_merge_data_ptr] + 0.5) / scale).floor() * scale + 0.5 * scale - 0.5
|
||||
elif data == 'depth':
|
||||
new_data['depth'][merge_data_ptr] = self.depth[old_merge_data_ptr] - 1
|
||||
elif data == 'opacity':
|
||||
new_data['opacity'][subdivide_data_ptr + i] = self.inverse_opacity_activation(self.opacity_activation(self.opacity[subdivide_mask])**2)
|
||||
elif data == 'trivec':
|
||||
new_data['trivec'][merge_data_ptr] = self.trivec[old_merge_data_ptr]
|
||||
else:
|
||||
new_data[data][merge_data_ptr] = getattr(self, data)[old_merge_data_ptr]
|
||||
|
||||
# Update the structure and data array
|
||||
self.structure = new_structure
|
||||
for data in self.data:
|
||||
setattr(self, data, new_data[data])
|
||||
|
||||
# Save data array control temp variables
|
||||
self.data_rearrange_buffer = {
|
||||
'subdivide_mask': subdivide_mask,
|
||||
'merge_mask': merge_mask,
|
||||
'data_valid': data_valid,
|
||||
'new_data_idx': new_data_idx,
|
||||
'new_data_length': new_data_length,
|
||||
'new_data': new_data
|
||||
}
|
||||
@@ -0,0 +1 @@
|
||||
from .strivec import Strivec
|
||||
@@ -0,0 +1,28 @@
|
||||
import torch
|
||||
import torch.nn as nn
|
||||
import torch.nn.functional as F
|
||||
import numpy as np
|
||||
from ..octree import DfsOctree as Octree
|
||||
|
||||
|
||||
class Strivec(Octree):
|
||||
def __init__(
|
||||
self,
|
||||
resolution: int,
|
||||
aabb: list,
|
||||
sh_degree: int = 0,
|
||||
rank: int = 8,
|
||||
dim: int = 8,
|
||||
device: str = "cuda",
|
||||
):
|
||||
assert np.log2(resolution) % 1 == 0, "Resolution must be a power of 2"
|
||||
self.resolution = resolution
|
||||
depth = int(np.round(np.log2(resolution)))
|
||||
super().__init__(
|
||||
depth=depth,
|
||||
aabb=aabb,
|
||||
sh_degree=sh_degree,
|
||||
primitive="trivec",
|
||||
primitive_config={"rank": rank, "dim": dim},
|
||||
device=device,
|
||||
)
|
||||
@@ -0,0 +1,187 @@
|
||||
import numpy as np
|
||||
import cv2
|
||||
import torch
|
||||
|
||||
|
||||
# Dictionary utils
|
||||
def _dict_merge(dicta, dictb, prefix=''):
|
||||
"""
|
||||
Merge two dictionaries.
|
||||
"""
|
||||
assert isinstance(dicta, dict), 'input must be a dictionary'
|
||||
assert isinstance(dictb, dict), 'input must be a dictionary'
|
||||
dict_ = {}
|
||||
all_keys = set(dicta.keys()).union(set(dictb.keys()))
|
||||
for key in all_keys:
|
||||
if key in dicta.keys() and key in dictb.keys():
|
||||
if isinstance(dicta[key], dict) and isinstance(dictb[key], dict):
|
||||
dict_[key] = _dict_merge(dicta[key], dictb[key], prefix=f'{prefix}.{key}')
|
||||
else:
|
||||
raise ValueError(f'Duplicate key {prefix}.{key} found in both dictionaries. Types: {type(dicta[key])}, {type(dictb[key])}')
|
||||
elif key in dicta.keys():
|
||||
dict_[key] = dicta[key]
|
||||
else:
|
||||
dict_[key] = dictb[key]
|
||||
return dict_
|
||||
|
||||
|
||||
def dict_merge(dicta, dictb):
|
||||
"""
|
||||
Merge two dictionaries.
|
||||
"""
|
||||
return _dict_merge(dicta, dictb, prefix='')
|
||||
|
||||
|
||||
def dict_foreach(dic, func, special_func={}):
|
||||
"""
|
||||
Recursively apply a function to all non-dictionary leaf values in a dictionary.
|
||||
"""
|
||||
assert isinstance(dic, dict), 'input must be a dictionary'
|
||||
for key in dic.keys():
|
||||
if isinstance(dic[key], dict):
|
||||
dic[key] = dict_foreach(dic[key], func)
|
||||
else:
|
||||
if key in special_func.keys():
|
||||
dic[key] = special_func[key](dic[key])
|
||||
else:
|
||||
dic[key] = func(dic[key])
|
||||
return dic
|
||||
|
||||
|
||||
def dict_reduce(dicts, func, special_func={}):
|
||||
"""
|
||||
Reduce a list of dictionaries. Leaf values must be scalars.
|
||||
"""
|
||||
assert isinstance(dicts, list), 'input must be a list of dictionaries'
|
||||
assert all([isinstance(d, dict) for d in dicts]), 'input must be a list of dictionaries'
|
||||
assert len(dicts) > 0, 'input must be a non-empty list of dictionaries'
|
||||
all_keys = set([key for dict_ in dicts for key in dict_.keys()])
|
||||
reduced_dict = {}
|
||||
for key in all_keys:
|
||||
vlist = [dict_[key] for dict_ in dicts if key in dict_.keys()]
|
||||
if isinstance(vlist[0], dict):
|
||||
reduced_dict[key] = dict_reduce(vlist, func, special_func)
|
||||
else:
|
||||
if key in special_func.keys():
|
||||
reduced_dict[key] = special_func[key](vlist)
|
||||
else:
|
||||
reduced_dict[key] = func(vlist)
|
||||
return reduced_dict
|
||||
|
||||
|
||||
def dict_any(dic, func):
|
||||
"""
|
||||
Recursively apply a function to all non-dictionary leaf values in a dictionary.
|
||||
"""
|
||||
assert isinstance(dic, dict), 'input must be a dictionary'
|
||||
for key in dic.keys():
|
||||
if isinstance(dic[key], dict):
|
||||
if dict_any(dic[key], func):
|
||||
return True
|
||||
else:
|
||||
if func(dic[key]):
|
||||
return True
|
||||
return False
|
||||
|
||||
|
||||
def dict_all(dic, func):
|
||||
"""
|
||||
Recursively apply a function to all non-dictionary leaf values in a dictionary.
|
||||
"""
|
||||
assert isinstance(dic, dict), 'input must be a dictionary'
|
||||
for key in dic.keys():
|
||||
if isinstance(dic[key], dict):
|
||||
if not dict_all(dic[key], func):
|
||||
return False
|
||||
else:
|
||||
if not func(dic[key]):
|
||||
return False
|
||||
return True
|
||||
|
||||
|
||||
def dict_flatten(dic, sep='.'):
|
||||
"""
|
||||
Flatten a nested dictionary into a dictionary with no nested dictionaries.
|
||||
"""
|
||||
assert isinstance(dic, dict), 'input must be a dictionary'
|
||||
flat_dict = {}
|
||||
for key in dic.keys():
|
||||
if isinstance(dic[key], dict):
|
||||
sub_dict = dict_flatten(dic[key], sep=sep)
|
||||
for sub_key in sub_dict.keys():
|
||||
flat_dict[str(key) + sep + str(sub_key)] = sub_dict[sub_key]
|
||||
else:
|
||||
flat_dict[key] = dic[key]
|
||||
return flat_dict
|
||||
|
||||
|
||||
def make_grid(images, nrow=None, ncol=None, aspect_ratio=None):
|
||||
num_images = len(images)
|
||||
if nrow is None and ncol is None:
|
||||
if aspect_ratio is not None:
|
||||
nrow = int(np.round(np.sqrt(num_images / aspect_ratio)))
|
||||
else:
|
||||
nrow = int(np.sqrt(num_images))
|
||||
ncol = (num_images + nrow - 1) // nrow
|
||||
elif nrow is None and ncol is not None:
|
||||
nrow = (num_images + ncol - 1) // ncol
|
||||
elif nrow is not None and ncol is None:
|
||||
ncol = (num_images + nrow - 1) // nrow
|
||||
else:
|
||||
assert nrow * ncol >= num_images, 'nrow * ncol must be greater than or equal to the number of images'
|
||||
|
||||
grid = np.zeros((nrow * images[0].shape[0], ncol * images[0].shape[1], images[0].shape[2]), dtype=images[0].dtype)
|
||||
for i, img in enumerate(images):
|
||||
row = i // ncol
|
||||
col = i % ncol
|
||||
grid[row * img.shape[0]:(row + 1) * img.shape[0], col * img.shape[1]:(col + 1) * img.shape[1]] = img
|
||||
return grid
|
||||
|
||||
|
||||
def notes_on_image(img, notes=None):
|
||||
img = np.pad(img, ((0, 32), (0, 0), (0, 0)), 'constant', constant_values=0)
|
||||
img = cv2.cvtColor(img, cv2.COLOR_RGB2BGR)
|
||||
if notes is not None:
|
||||
img = cv2.putText(img, notes, (0, img.shape[0] - 4), cv2.FONT_HERSHEY_SIMPLEX, 1, (255, 255, 255), 1)
|
||||
img = cv2.cvtColor(img, cv2.COLOR_BGR2RGB)
|
||||
return img
|
||||
|
||||
|
||||
def save_image_with_notes(img, path, notes=None):
|
||||
"""
|
||||
Save an image with notes.
|
||||
"""
|
||||
if isinstance(img, torch.Tensor):
|
||||
img = img.cpu().numpy().transpose(1, 2, 0)
|
||||
if img.dtype == np.float32 or img.dtype == np.float64:
|
||||
img = np.clip(img * 255, 0, 255).astype(np.uint8)
|
||||
img = notes_on_image(img, notes)
|
||||
cv2.imwrite(path, cv2.cvtColor(img, cv2.COLOR_RGB2BGR))
|
||||
|
||||
|
||||
# debug utils
|
||||
|
||||
def atol(x, y):
|
||||
"""
|
||||
Absolute tolerance.
|
||||
"""
|
||||
return torch.abs(x - y)
|
||||
|
||||
|
||||
def rtol(x, y):
|
||||
"""
|
||||
Relative tolerance.
|
||||
"""
|
||||
return torch.abs(x - y) / torch.clamp_min(torch.maximum(torch.abs(x), torch.abs(y)), 1e-12)
|
||||
|
||||
|
||||
# print utils
|
||||
def indent(s, n=4):
|
||||
"""
|
||||
Indent a string.
|
||||
"""
|
||||
lines = s.split('\n')
|
||||
for i in range(1, len(lines)):
|
||||
lines[i] = ' ' * n + lines[i]
|
||||
return '\n'.join(lines)
|
||||
|
||||
@@ -0,0 +1,458 @@
|
||||
from typing import *
|
||||
import numpy as np
|
||||
import torch
|
||||
import utils3d
|
||||
import nvdiffrast.torch as dr
|
||||
from tqdm import tqdm
|
||||
import trimesh
|
||||
import trimesh.visual
|
||||
import xatlas
|
||||
import pyvista as pv
|
||||
from pymeshfix import _meshfix
|
||||
import igraph
|
||||
import cv2
|
||||
from PIL import Image
|
||||
from .random_utils import sphere_hammersley_sequence
|
||||
from .render_utils import render_multiview
|
||||
from ..representations import Strivec, Gaussian, MeshExtractResult
|
||||
|
||||
|
||||
@torch.no_grad()
|
||||
def _fill_holes(
|
||||
verts,
|
||||
faces,
|
||||
max_hole_size=0.04,
|
||||
max_hole_nbe=32,
|
||||
resolution=128,
|
||||
num_views=500,
|
||||
debug=False,
|
||||
verbose=False
|
||||
):
|
||||
"""
|
||||
Rasterize a mesh from multiple views and remove invisible faces.
|
||||
Also includes postprocessing to:
|
||||
1. Remove connected components that are have low visibility.
|
||||
2. Mincut to remove faces at the inner side of the mesh connected to the outer side with a small hole.
|
||||
|
||||
Args:
|
||||
verts (torch.Tensor): Vertices of the mesh. Shape (V, 3).
|
||||
faces (torch.Tensor): Faces of the mesh. Shape (F, 3).
|
||||
max_hole_size (float): Maximum area of a hole to fill.
|
||||
resolution (int): Resolution of the rasterization.
|
||||
num_views (int): Number of views to rasterize the mesh.
|
||||
verbose (bool): Whether to print progress.
|
||||
"""
|
||||
# Construct cameras
|
||||
yaws = []
|
||||
pitchs = []
|
||||
for i in range(num_views):
|
||||
y, p = sphere_hammersley_sequence(i, num_views)
|
||||
yaws.append(y)
|
||||
pitchs.append(p)
|
||||
yaws = torch.tensor(yaws).cuda()
|
||||
pitchs = torch.tensor(pitchs).cuda()
|
||||
radius = 2.0
|
||||
fov = torch.deg2rad(torch.tensor(40)).cuda()
|
||||
projection = utils3d.torch.perspective_from_fov_xy(fov, fov, 1, 3)
|
||||
views = []
|
||||
for (yaw, pitch) in zip(yaws, pitchs):
|
||||
orig = torch.tensor([
|
||||
torch.sin(yaw) * torch.cos(pitch),
|
||||
torch.cos(yaw) * torch.cos(pitch),
|
||||
torch.sin(pitch),
|
||||
]).cuda().float() * radius
|
||||
view = utils3d.torch.view_look_at(orig, torch.tensor([0, 0, 0]).float().cuda(), torch.tensor([0, 0, 1]).float().cuda())
|
||||
views.append(view)
|
||||
views = torch.stack(views, dim=0)
|
||||
|
||||
# Rasterize
|
||||
visblity = torch.zeros(faces.shape[0], dtype=torch.int32, device=verts.device)
|
||||
rastctx = utils3d.torch.RastContext(backend='cuda')
|
||||
for i in tqdm(range(views.shape[0]), total=views.shape[0], disable=not verbose, desc='Rasterizing'):
|
||||
view = views[i]
|
||||
buffers = utils3d.torch.rasterize_triangle_faces(
|
||||
rastctx, verts[None], faces, resolution, resolution, view=view, projection=projection
|
||||
)
|
||||
face_id = buffers['face_id'][0][buffers['mask'][0] > 0.95] - 1
|
||||
face_id = torch.unique(face_id).long()
|
||||
visblity[face_id] += 1
|
||||
visblity = visblity.float() / num_views
|
||||
|
||||
# Mincut
|
||||
## construct outer faces
|
||||
edges, face2edge, edge_degrees = utils3d.torch.compute_edges(faces)
|
||||
boundary_edge_indices = torch.nonzero(edge_degrees == 1).reshape(-1)
|
||||
connected_components = utils3d.torch.compute_connected_components(faces, edges, face2edge)
|
||||
outer_face_indices = torch.zeros(faces.shape[0], dtype=torch.bool, device=faces.device)
|
||||
for i in range(len(connected_components)):
|
||||
outer_face_indices[connected_components[i]] = visblity[connected_components[i]] > min(max(visblity[connected_components[i]].quantile(0.75).item(), 0.25), 0.5)
|
||||
outer_face_indices = outer_face_indices.nonzero().reshape(-1)
|
||||
|
||||
## construct inner faces
|
||||
inner_face_indices = torch.nonzero(visblity == 0).reshape(-1)
|
||||
if verbose:
|
||||
tqdm.write(f'Found {inner_face_indices.shape[0]} invisible faces')
|
||||
if inner_face_indices.shape[0] == 0:
|
||||
return verts, faces
|
||||
|
||||
## Construct dual graph (faces as nodes, edges as edges)
|
||||
dual_edges, dual_edge2edge = utils3d.torch.compute_dual_graph(face2edge)
|
||||
dual_edge2edge = edges[dual_edge2edge]
|
||||
dual_edges_weights = torch.norm(verts[dual_edge2edge[:, 0]] - verts[dual_edge2edge[:, 1]], dim=1)
|
||||
if verbose:
|
||||
tqdm.write(f'Dual graph: {dual_edges.shape[0]} edges')
|
||||
|
||||
## solve mincut problem
|
||||
### construct main graph
|
||||
g = igraph.Graph()
|
||||
g.add_vertices(faces.shape[0])
|
||||
g.add_edges(dual_edges.cpu().numpy())
|
||||
g.es['weight'] = dual_edges_weights.cpu().numpy()
|
||||
|
||||
### source and target
|
||||
g.add_vertex('s')
|
||||
g.add_vertex('t')
|
||||
|
||||
### connect invisible faces to source
|
||||
g.add_edges([(f, 's') for f in inner_face_indices], attributes={'weight': torch.ones(inner_face_indices.shape[0], dtype=torch.float32).cpu().numpy()})
|
||||
|
||||
### connect outer faces to target
|
||||
g.add_edges([(f, 't') for f in outer_face_indices], attributes={'weight': torch.ones(outer_face_indices.shape[0], dtype=torch.float32).cpu().numpy()})
|
||||
|
||||
### solve mincut
|
||||
cut = g.mincut('s', 't', (np.array(g.es['weight']) * 1000).tolist())
|
||||
remove_face_indices = torch.tensor([v for v in cut.partition[0] if v < faces.shape[0]], dtype=torch.long, device=faces.device)
|
||||
if verbose:
|
||||
tqdm.write(f'Mincut solved, start checking the cut')
|
||||
|
||||
### check if the cut is valid with each connected component
|
||||
to_remove_cc = utils3d.torch.compute_connected_components(faces[remove_face_indices])
|
||||
if debug:
|
||||
tqdm.write(f'Number of connected components of the cut: {len(to_remove_cc)}')
|
||||
valid_remove_cc = []
|
||||
cutting_edges = []
|
||||
for cc in to_remove_cc:
|
||||
#### check if the connected component has low visibility
|
||||
visblity_median = visblity[remove_face_indices[cc]].median()
|
||||
if debug:
|
||||
tqdm.write(f'visblity_median: {visblity_median}')
|
||||
if visblity_median > 0.25:
|
||||
continue
|
||||
|
||||
#### check if the cuting loop is small enough
|
||||
cc_edge_indices, cc_edges_degree = torch.unique(face2edge[remove_face_indices[cc]], return_counts=True)
|
||||
cc_boundary_edge_indices = cc_edge_indices[cc_edges_degree == 1]
|
||||
cc_new_boundary_edge_indices = cc_boundary_edge_indices[~torch.isin(cc_boundary_edge_indices, boundary_edge_indices)]
|
||||
if len(cc_new_boundary_edge_indices) > 0:
|
||||
cc_new_boundary_edge_cc = utils3d.torch.compute_edge_connected_components(edges[cc_new_boundary_edge_indices])
|
||||
cc_new_boundary_edges_cc_center = [verts[edges[cc_new_boundary_edge_indices[edge_cc]]].mean(dim=1).mean(dim=0) for edge_cc in cc_new_boundary_edge_cc]
|
||||
cc_new_boundary_edges_cc_area = []
|
||||
for i, edge_cc in enumerate(cc_new_boundary_edge_cc):
|
||||
_e1 = verts[edges[cc_new_boundary_edge_indices[edge_cc]][:, 0]] - cc_new_boundary_edges_cc_center[i]
|
||||
_e2 = verts[edges[cc_new_boundary_edge_indices[edge_cc]][:, 1]] - cc_new_boundary_edges_cc_center[i]
|
||||
cc_new_boundary_edges_cc_area.append(torch.norm(torch.cross(_e1, _e2, dim=-1), dim=1).sum() * 0.5)
|
||||
if debug:
|
||||
cutting_edges.append(cc_new_boundary_edge_indices)
|
||||
tqdm.write(f'Area of the cutting loop: {cc_new_boundary_edges_cc_area}')
|
||||
if any([l > max_hole_size for l in cc_new_boundary_edges_cc_area]):
|
||||
continue
|
||||
|
||||
valid_remove_cc.append(cc)
|
||||
|
||||
if debug:
|
||||
face_v = verts[faces].mean(dim=1).cpu().numpy()
|
||||
vis_dual_edges = dual_edges.cpu().numpy()
|
||||
vis_colors = np.zeros((faces.shape[0], 3), dtype=np.uint8)
|
||||
vis_colors[inner_face_indices.cpu().numpy()] = [0, 0, 255]
|
||||
vis_colors[outer_face_indices.cpu().numpy()] = [0, 255, 0]
|
||||
vis_colors[remove_face_indices.cpu().numpy()] = [255, 0, 255]
|
||||
if len(valid_remove_cc) > 0:
|
||||
vis_colors[remove_face_indices[torch.cat(valid_remove_cc)].cpu().numpy()] = [255, 0, 0]
|
||||
utils3d.io.write_ply('dbg_dual.ply', face_v, edges=vis_dual_edges, vertex_colors=vis_colors)
|
||||
|
||||
vis_verts = verts.cpu().numpy()
|
||||
vis_edges = edges[torch.cat(cutting_edges)].cpu().numpy()
|
||||
utils3d.io.write_ply('dbg_cut.ply', vis_verts, edges=vis_edges)
|
||||
|
||||
|
||||
if len(valid_remove_cc) > 0:
|
||||
remove_face_indices = remove_face_indices[torch.cat(valid_remove_cc)]
|
||||
mask = torch.ones(faces.shape[0], dtype=torch.bool, device=faces.device)
|
||||
mask[remove_face_indices] = 0
|
||||
faces = faces[mask]
|
||||
faces, verts = utils3d.torch.remove_unreferenced_vertices(faces, verts)
|
||||
if verbose:
|
||||
tqdm.write(f'Removed {(~mask).sum()} faces by mincut')
|
||||
else:
|
||||
if verbose:
|
||||
tqdm.write(f'Removed 0 faces by mincut')
|
||||
|
||||
mesh = _meshfix.PyTMesh()
|
||||
mesh.load_array(verts.cpu().numpy(), faces.cpu().numpy())
|
||||
mesh.fill_small_boundaries(nbe=max_hole_nbe, refine=True)
|
||||
verts, faces = mesh.return_arrays()
|
||||
verts, faces = torch.tensor(verts, device='cuda', dtype=torch.float32), torch.tensor(faces, device='cuda', dtype=torch.int32)
|
||||
|
||||
return verts, faces
|
||||
|
||||
|
||||
def postprocess_mesh(
|
||||
vertices: np.array,
|
||||
faces: np.array,
|
||||
simplify: bool = True,
|
||||
simplify_ratio: float = 0.9,
|
||||
fill_holes: bool = True,
|
||||
fill_holes_max_hole_size: float = 0.04,
|
||||
fill_holes_max_hole_nbe: int = 32,
|
||||
fill_holes_resolution: int = 1024,
|
||||
fill_holes_num_views: int = 1000,
|
||||
debug: bool = False,
|
||||
verbose: bool = False,
|
||||
):
|
||||
"""
|
||||
Postprocess a mesh by simplifying, removing invisible faces, and removing isolated pieces.
|
||||
|
||||
Args:
|
||||
vertices (np.array): Vertices of the mesh. Shape (V, 3).
|
||||
faces (np.array): Faces of the mesh. Shape (F, 3).
|
||||
simplify (bool): Whether to simplify the mesh, using quadric edge collapse.
|
||||
simplify_ratio (float): Ratio of faces to keep after simplification.
|
||||
fill_holes (bool): Whether to fill holes in the mesh.
|
||||
fill_holes_max_hole_size (float): Maximum area of a hole to fill.
|
||||
fill_holes_max_hole_nbe (int): Maximum number of boundary edges of a hole to fill.
|
||||
fill_holes_resolution (int): Resolution of the rasterization.
|
||||
fill_holes_num_views (int): Number of views to rasterize the mesh.
|
||||
verbose (bool): Whether to print progress.
|
||||
"""
|
||||
|
||||
if verbose:
|
||||
tqdm.write(f'Before postprocess: {vertices.shape[0]} vertices, {faces.shape[0]} faces')
|
||||
|
||||
# Simplify
|
||||
if simplify and simplify_ratio > 0:
|
||||
mesh = pv.PolyData(vertices, np.concatenate([np.full((faces.shape[0], 1), 3), faces], axis=1))
|
||||
mesh = mesh.decimate(simplify_ratio, progress_bar=verbose)
|
||||
vertices, faces = mesh.points, mesh.faces.reshape(-1, 4)[:, 1:]
|
||||
if verbose:
|
||||
tqdm.write(f'After decimate: {vertices.shape[0]} vertices, {faces.shape[0]} faces')
|
||||
|
||||
# Remove invisible faces
|
||||
if fill_holes:
|
||||
vertices, faces = torch.tensor(vertices).cuda(), torch.tensor(faces.astype(np.int32)).cuda()
|
||||
vertices, faces = _fill_holes(
|
||||
vertices, faces,
|
||||
max_hole_size=fill_holes_max_hole_size,
|
||||
max_hole_nbe=fill_holes_max_hole_nbe,
|
||||
resolution=fill_holes_resolution,
|
||||
num_views=fill_holes_num_views,
|
||||
debug=debug,
|
||||
verbose=verbose,
|
||||
)
|
||||
vertices, faces = vertices.cpu().numpy(), faces.cpu().numpy()
|
||||
if verbose:
|
||||
tqdm.write(f'After remove invisible faces: {vertices.shape[0]} vertices, {faces.shape[0]} faces')
|
||||
|
||||
return vertices, faces
|
||||
|
||||
|
||||
def parametrize_mesh(vertices: np.array, faces: np.array):
|
||||
"""
|
||||
Parametrize a mesh to a texture space, using xatlas.
|
||||
|
||||
Args:
|
||||
vertices (np.array): Vertices of the mesh. Shape (V, 3).
|
||||
faces (np.array): Faces of the mesh. Shape (F, 3).
|
||||
"""
|
||||
|
||||
vmapping, indices, uvs = xatlas.parametrize(vertices, faces)
|
||||
|
||||
vertices = vertices[vmapping]
|
||||
faces = indices
|
||||
|
||||
return vertices, faces, uvs
|
||||
|
||||
|
||||
def bake_texture(
|
||||
vertices: np.array,
|
||||
faces: np.array,
|
||||
uvs: np.array,
|
||||
observations: List[np.array],
|
||||
masks: List[np.array],
|
||||
extrinsics: List[np.array],
|
||||
intrinsics: List[np.array],
|
||||
texture_size: int = 2048,
|
||||
near: float = 0.1,
|
||||
far: float = 10.0,
|
||||
mode: Literal['fast', 'opt'] = 'opt',
|
||||
lambda_tv: float = 1e-2,
|
||||
verbose: bool = False,
|
||||
):
|
||||
"""
|
||||
Bake texture to a mesh from multiple observations.
|
||||
|
||||
Args:
|
||||
vertices (np.array): Vertices of the mesh. Shape (V, 3).
|
||||
faces (np.array): Faces of the mesh. Shape (F, 3).
|
||||
uvs (np.array): UV coordinates of the mesh. Shape (V, 2).
|
||||
observations (List[np.array]): List of observations. Each observation is a 2D image. Shape (H, W, 3).
|
||||
masks (List[np.array]): List of masks. Each mask is a 2D image. Shape (H, W).
|
||||
extrinsics (List[np.array]): List of extrinsics. Shape (4, 4).
|
||||
intrinsics (List[np.array]): List of intrinsics. Shape (3, 3).
|
||||
texture_size (int): Size of the texture.
|
||||
near (float): Near plane of the camera.
|
||||
far (float): Far plane of the camera.
|
||||
mode (Literal['fast', 'opt']): Mode of texture baking.
|
||||
lambda_tv (float): Weight of total variation loss in optimization.
|
||||
verbose (bool): Whether to print progress.
|
||||
"""
|
||||
vertices = torch.tensor(vertices).cuda()
|
||||
faces = torch.tensor(faces.astype(np.int32)).cuda()
|
||||
uvs = torch.tensor(uvs).cuda()
|
||||
observations = [torch.tensor(obs / 255.0).float().cuda() for obs in observations]
|
||||
masks = [torch.tensor(m>0).bool().cuda() for m in masks]
|
||||
views = [utils3d.torch.extrinsics_to_view(torch.tensor(extr).cuda()) for extr in extrinsics]
|
||||
projections = [utils3d.torch.intrinsics_to_perspective(torch.tensor(intr).cuda(), near, far) for intr in intrinsics]
|
||||
|
||||
if mode == 'fast':
|
||||
texture = torch.zeros((texture_size * texture_size, 3), dtype=torch.float32).cuda()
|
||||
texture_weights = torch.zeros((texture_size * texture_size), dtype=torch.float32).cuda()
|
||||
rastctx = utils3d.torch.RastContext(backend='cuda')
|
||||
for observation, view, projection in tqdm(zip(observations, views, projections), total=len(observations), disable=not verbose, desc='Texture baking (fast)'):
|
||||
with torch.no_grad():
|
||||
rast = utils3d.torch.rasterize_triangle_faces(
|
||||
rastctx, vertices[None], faces, observation.shape[1], observation.shape[0], uv=uvs[None], view=view, projection=projection
|
||||
)
|
||||
uv_map = rast['uv'][0].detach().flip(0)
|
||||
mask = rast['mask'][0].detach().bool() & masks[0]
|
||||
|
||||
# nearest neighbor interpolation
|
||||
uv_map = (uv_map * texture_size).floor().long()
|
||||
obs = observation[mask]
|
||||
uv_map = uv_map[mask]
|
||||
idx = uv_map[:, 0] + (texture_size - uv_map[:, 1] - 1) * texture_size
|
||||
texture = texture.scatter_add(0, idx.view(-1, 1).expand(-1, 3), obs)
|
||||
texture_weights = texture_weights.scatter_add(0, idx, torch.ones((obs.shape[0]), dtype=torch.float32, device=texture.device))
|
||||
|
||||
mask = texture_weights > 0
|
||||
texture[mask] /= texture_weights[mask][:, None]
|
||||
texture = np.clip(texture.reshape(texture_size, texture_size, 3).cpu().numpy() * 255, 0, 255).astype(np.uint8)
|
||||
|
||||
# inpaint
|
||||
mask = (texture_weights == 0).cpu().numpy().astype(np.uint8).reshape(texture_size, texture_size)
|
||||
texture = cv2.inpaint(texture, mask, 3, cv2.INPAINT_TELEA)
|
||||
|
||||
elif mode == 'opt':
|
||||
rastctx = utils3d.torch.RastContext(backend='cuda')
|
||||
observations = [observations.flip(0) for observations in observations]
|
||||
masks = [m.flip(0) for m in masks]
|
||||
_uv = []
|
||||
_uv_dr = []
|
||||
for observation, view, projection in tqdm(zip(observations, views, projections), total=len(views), disable=not verbose, desc='Texture baking (opt): UV'):
|
||||
with torch.no_grad():
|
||||
rast = utils3d.torch.rasterize_triangle_faces(
|
||||
rastctx, vertices[None], faces, observation.shape[1], observation.shape[0], uv=uvs[None], view=view, projection=projection
|
||||
)
|
||||
_uv.append(rast['uv'].detach())
|
||||
_uv_dr.append(rast['uv_dr'].detach())
|
||||
|
||||
texture = torch.nn.Parameter(torch.zeros((1, texture_size, texture_size, 3), dtype=torch.float32).cuda())
|
||||
optimizer = torch.optim.Adam([texture], betas=(0.5, 0.9), lr=1e-2)
|
||||
|
||||
def exp_anealing(optimizer, step, total_steps, start_lr, end_lr):
|
||||
return start_lr * (end_lr / start_lr) ** (step / total_steps)
|
||||
|
||||
def cosine_anealing(optimizer, step, total_steps, start_lr, end_lr):
|
||||
return end_lr + 0.5 * (start_lr - end_lr) * (1 + np.cos(np.pi * step / total_steps))
|
||||
|
||||
def tv_loss(texture):
|
||||
return torch.nn.functional.l1_loss(texture[:, :-1, :, :], texture[:, 1:, :, :]) + \
|
||||
torch.nn.functional.l1_loss(texture[:, :, :-1, :], texture[:, :, 1:, :])
|
||||
|
||||
total_steps = 2500
|
||||
with tqdm(total=total_steps, disable=not verbose, desc='Texture baking (opt): optimizing') as pbar:
|
||||
for step in range(total_steps):
|
||||
optimizer.zero_grad()
|
||||
selected = np.random.randint(0, len(views))
|
||||
uv, uv_dr, observation, mask = _uv[selected], _uv_dr[selected], observations[selected], masks[selected]
|
||||
render = dr.texture(texture, uv, uv_dr)[0]
|
||||
loss = torch.nn.functional.l1_loss(render[mask], observation[mask])
|
||||
if lambda_tv > 0:
|
||||
loss += lambda_tv * tv_loss(texture)
|
||||
loss.backward()
|
||||
optimizer.step()
|
||||
# annealing
|
||||
optimizer.param_groups[0]['lr'] = cosine_anealing(optimizer, step, total_steps, 1e-2, 1e-5)
|
||||
pbar.set_postfix({'loss': loss.item()})
|
||||
pbar.update()
|
||||
texture = np.clip(texture[0].flip(0).detach().cpu().numpy() * 255, 0, 255).astype(np.uint8)
|
||||
mask = 1 - utils3d.torch.rasterize_triangle_faces(
|
||||
rastctx, (uvs * 2 - 1)[None], faces, texture_size, texture_size
|
||||
)['mask'][0].detach().cpu().numpy().astype(np.uint8)
|
||||
texture = cv2.inpaint(texture, mask, 3, cv2.INPAINT_TELEA)
|
||||
else:
|
||||
raise ValueError(f'Unknown mode: {mode}')
|
||||
|
||||
return texture
|
||||
|
||||
|
||||
def to_glb(
|
||||
app_rep: Union[Strivec, Gaussian],
|
||||
mesh: MeshExtractResult,
|
||||
simplify: float = 0.95,
|
||||
fill_holes: bool = True,
|
||||
fill_holes_max_size: float = 0.04,
|
||||
texture_size: int = 1024,
|
||||
debug: bool = False,
|
||||
verbose: bool = True,
|
||||
) -> trimesh.Trimesh:
|
||||
"""
|
||||
Convert a generated asset to a glb file.
|
||||
|
||||
Args:
|
||||
app_rep (Union[Strivec, Gaussian]): Appearance representation.
|
||||
mesh (MeshExtractResult): Extracted mesh.
|
||||
simplify (float): Ratio of faces to remove in simplification.
|
||||
fill_holes (bool): Whether to fill holes in the mesh.
|
||||
fill_holes_max_size (float): Maximum area of a hole to fill.
|
||||
texture_size (int): Size of the texture.
|
||||
debug (bool): Whether to print debug information.
|
||||
verbose (bool): Whether to print progress.
|
||||
"""
|
||||
vertices = mesh.vertices.cpu().numpy()
|
||||
faces = mesh.faces.cpu().numpy()
|
||||
|
||||
# mesh postprocess
|
||||
vertices, faces = postprocess_mesh(
|
||||
vertices, faces,
|
||||
simplify=simplify > 0,
|
||||
simplify_ratio=simplify,
|
||||
fill_holes=fill_holes,
|
||||
fill_holes_max_hole_size=fill_holes_max_size,
|
||||
fill_holes_max_hole_nbe=int(250 * np.sqrt(1-simplify)),
|
||||
fill_holes_resolution=1024,
|
||||
fill_holes_num_views=1000,
|
||||
debug=debug,
|
||||
verbose=verbose,
|
||||
)
|
||||
|
||||
# parametrize mesh
|
||||
vertices, faces, uvs = parametrize_mesh(vertices, faces)
|
||||
|
||||
# bake texture
|
||||
observations, extrinsics, intrinsics = render_multiview(app_rep, resolution=1024, nviews=100)
|
||||
masks = [np.any(observation > 0, axis=-1) for observation in observations]
|
||||
extrinsics = [extrinsics[i].cpu().numpy() for i in range(len(extrinsics))]
|
||||
intrinsics = [intrinsics[i].cpu().numpy() for i in range(len(intrinsics))]
|
||||
texture = bake_texture(
|
||||
vertices, faces, uvs,
|
||||
observations, masks, extrinsics, intrinsics,
|
||||
texture_size=texture_size, mode='opt',
|
||||
lambda_tv=0.01,
|
||||
verbose=verbose
|
||||
)
|
||||
texture = Image.fromarray(texture)
|
||||
|
||||
# rotate mesh (from z-up to y-up)
|
||||
vertices = vertices @ np.array([[1, 0, 0], [0, 0, -1], [0, 1, 0]])
|
||||
mesh = trimesh.Trimesh(vertices, faces, visual=trimesh.visual.TextureVisuals(uv=uvs, image=texture))
|
||||
return mesh
|
||||
@@ -0,0 +1,30 @@
|
||||
import numpy as np
|
||||
|
||||
PRIMES = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53]
|
||||
|
||||
def radical_inverse(base, n):
|
||||
val = 0
|
||||
inv_base = 1.0 / base
|
||||
inv_base_n = inv_base
|
||||
while n > 0:
|
||||
digit = n % base
|
||||
val += digit * inv_base_n
|
||||
n //= base
|
||||
inv_base_n *= inv_base
|
||||
return val
|
||||
|
||||
def halton_sequence(dim, n):
|
||||
return [radical_inverse(PRIMES[dim], n) for dim in range(dim)]
|
||||
|
||||
def hammersley_sequence(dim, n, num_samples):
|
||||
return [n / num_samples] + halton_sequence(dim - 1, n)
|
||||
|
||||
def sphere_hammersley_sequence(n, num_samples, offset=(0, 0), remap=False):
|
||||
u, v = hammersley_sequence(2, n, num_samples)
|
||||
u += offset[0] / num_samples
|
||||
v += offset[1]
|
||||
if remap:
|
||||
u = 2 * u if u < 0.25 else 2 / 3 * u + 1 / 3
|
||||
theta = np.arccos(1 - 2 * u) - np.pi / 2
|
||||
phi = v * 2 * np.pi
|
||||
return [phi, theta]
|
||||
@@ -0,0 +1,116 @@
|
||||
import torch
|
||||
import numpy as np
|
||||
from tqdm import tqdm
|
||||
import utils3d
|
||||
from PIL import Image
|
||||
|
||||
from ..renderers import OctreeRenderer, GaussianRenderer, MeshRenderer
|
||||
from ..representations import Octree, Gaussian, MeshExtractResult
|
||||
from ..modules import sparse as sp
|
||||
from .random_utils import sphere_hammersley_sequence
|
||||
|
||||
|
||||
def yaw_pitch_r_fov_to_extrinsics_intrinsics(yaws, pitchs, rs, fovs):
|
||||
is_list = isinstance(yaws, list)
|
||||
if not is_list:
|
||||
yaws = [yaws]
|
||||
pitchs = [pitchs]
|
||||
if not isinstance(rs, list):
|
||||
rs = [rs] * len(yaws)
|
||||
if not isinstance(fovs, list):
|
||||
fovs = [fovs] * len(yaws)
|
||||
extrinsics = []
|
||||
intrinsics = []
|
||||
for yaw, pitch, r, fov in zip(yaws, pitchs, rs, fovs):
|
||||
fov = torch.deg2rad(torch.tensor(float(fov))).cuda()
|
||||
yaw = torch.tensor(float(yaw)).cuda()
|
||||
pitch = torch.tensor(float(pitch)).cuda()
|
||||
orig = torch.tensor([
|
||||
torch.sin(yaw) * torch.cos(pitch),
|
||||
torch.cos(yaw) * torch.cos(pitch),
|
||||
torch.sin(pitch),
|
||||
]).cuda() * r
|
||||
extr = utils3d.torch.extrinsics_look_at(orig, torch.tensor([0, 0, 0]).float().cuda(), torch.tensor([0, 0, 1]).float().cuda())
|
||||
intr = utils3d.torch.intrinsics_from_fov_xy(fov, fov)
|
||||
extrinsics.append(extr)
|
||||
intrinsics.append(intr)
|
||||
if not is_list:
|
||||
extrinsics = extrinsics[0]
|
||||
intrinsics = intrinsics[0]
|
||||
return extrinsics, intrinsics
|
||||
|
||||
|
||||
def render_frames(sample, extrinsics, intrinsics, options={}, colors_overwrite=None, verbose=True, **kwargs):
|
||||
if isinstance(sample, Octree):
|
||||
renderer = OctreeRenderer()
|
||||
renderer.rendering_options.resolution = options.get('resolution', 512)
|
||||
renderer.rendering_options.near = options.get('near', 0.8)
|
||||
renderer.rendering_options.far = options.get('far', 1.6)
|
||||
renderer.rendering_options.bg_color = options.get('bg_color', (0, 0, 0))
|
||||
renderer.rendering_options.ssaa = options.get('ssaa', 4)
|
||||
renderer.pipe.primitive = sample.primitive
|
||||
elif isinstance(sample, Gaussian):
|
||||
renderer = GaussianRenderer()
|
||||
renderer.rendering_options.resolution = options.get('resolution', 512)
|
||||
renderer.rendering_options.near = options.get('near', 0.8)
|
||||
renderer.rendering_options.far = options.get('far', 1.6)
|
||||
renderer.rendering_options.bg_color = options.get('bg_color', (0, 0, 0))
|
||||
renderer.rendering_options.ssaa = options.get('ssaa', 1)
|
||||
renderer.pipe.kernel_size = kwargs.get('kernel_size', 0.1)
|
||||
renderer.pipe.use_mip_gaussian = True
|
||||
elif isinstance(sample, MeshExtractResult):
|
||||
renderer = MeshRenderer()
|
||||
renderer.rendering_options.resolution = options.get('resolution', 512)
|
||||
renderer.rendering_options.near = options.get('near', 1)
|
||||
renderer.rendering_options.far = options.get('far', 100)
|
||||
renderer.rendering_options.ssaa = options.get('ssaa', 4)
|
||||
else:
|
||||
raise ValueError(f'Unsupported sample type: {type(sample)}')
|
||||
|
||||
rets = {}
|
||||
for j, (extr, intr) in tqdm(enumerate(zip(extrinsics, intrinsics)), desc='Rendering', disable=not verbose):
|
||||
if not isinstance(sample, MeshExtractResult):
|
||||
res = renderer.render(sample, extr, intr, colors_overwrite=colors_overwrite)
|
||||
if 'color' not in rets: rets['color'] = []
|
||||
if 'depth' not in rets: rets['depth'] = []
|
||||
rets['color'].append(np.clip(res['color'].detach().cpu().numpy().transpose(1, 2, 0) * 255, 0, 255).astype(np.uint8))
|
||||
if 'percent_depth' in res:
|
||||
rets['depth'].append(res['percent_depth'].detach().cpu().numpy())
|
||||
elif 'depth' in res:
|
||||
rets['depth'].append(res['depth'].detach().cpu().numpy())
|
||||
else:
|
||||
rets['depth'].append(None)
|
||||
else:
|
||||
res = renderer.render(sample, extr, intr)
|
||||
if 'normal' not in rets: rets['normal'] = []
|
||||
rets['normal'].append(np.clip(res['normal'].detach().cpu().numpy().transpose(1, 2, 0) * 255, 0, 255).astype(np.uint8))
|
||||
return rets
|
||||
|
||||
|
||||
def render_video(sample, resolution=512, bg_color=(0, 0, 0), num_frames=300, r=2, fov=40, **kwargs):
|
||||
yaws = torch.linspace(0, 2 * 3.1415, num_frames)
|
||||
pitch = 0.25 + 0.5 * torch.sin(torch.linspace(0, 2 * 3.1415, num_frames))
|
||||
yaws = yaws.tolist()
|
||||
pitch = pitch.tolist()
|
||||
extrinsics, intrinsics = yaw_pitch_r_fov_to_extrinsics_intrinsics(yaws, pitch, r, fov)
|
||||
return render_frames(sample, extrinsics, intrinsics, {'resolution': resolution, 'bg_color': bg_color}, **kwargs)
|
||||
|
||||
|
||||
def render_multiview(sample, resolution=512, nviews=30):
|
||||
r = 2
|
||||
fov = 40
|
||||
cams = [sphere_hammersley_sequence(i, nviews) for i in range(nviews)]
|
||||
yaws = [cam[0] for cam in cams]
|
||||
pitchs = [cam[1] for cam in cams]
|
||||
extrinsics, intrinsics = yaw_pitch_r_fov_to_extrinsics_intrinsics(yaws, pitchs, r, fov)
|
||||
res = render_frames(sample, extrinsics, intrinsics, {'resolution': resolution, 'bg_color': (0, 0, 0)})
|
||||
return res['color'], extrinsics, intrinsics
|
||||
|
||||
|
||||
def render_snapshot(samples, resolution=512, bg_color=(0, 0, 0), offset=(-16 / 180 * np.pi, 20 / 180 * np.pi), r=10, fov=8, **kwargs):
|
||||
yaw = [0, np.pi/2, np.pi, 3*np.pi/2]
|
||||
yaw_offset = offset[0]
|
||||
yaw = [y + yaw_offset for y in yaw]
|
||||
pitch = [offset[1] for _ in range(4)]
|
||||
extrinsics, intrinsics = yaw_pitch_r_fov_to_extrinsics_intrinsics(yaw, pitch, r, fov)
|
||||
return render_frames(samples, extrinsics, intrinsics, {'resolution': resolution, 'bg_color': bg_color}, **kwargs)
|
||||
Reference in New Issue
Block a user