Add TRELLIS codebase

This commit is contained in:
Mr. For Example
2024-12-10 19:27:57 -06:00
parent 0641e22a65
commit 65f04f0b32
68 changed files with 8512 additions and 0 deletions
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from . import models
from . import modules
from . import pipelines
from . import renderers
from . import representations
from . import utils
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import importlib
__attributes = {
'SparseStructureEncoder': 'sparse_structure_vae',
'SparseStructureDecoder': 'sparse_structure_vae',
'SparseStructureFlowModel': 'sparse_structure_flow',
'SLatEncoder': 'structured_latent_vae',
'SLatGaussianDecoder': 'structured_latent_vae',
'SLatRadianceFieldDecoder': 'structured_latent_vae',
'SLatMeshDecoder': 'structured_latent_vae',
'SLatFlowModel': 'structured_latent_flow',
}
__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]
def from_pretrained(path: str, **kwargs):
"""
Load a model from a pretrained checkpoint.
Args:
path: The path to the checkpoint. Can be either local path or a Hugging Face model name.
NOTE: config file and model file should take the name f'{path}.json' and f'{path}.safetensors' respectively.
**kwargs: Additional arguments for the model constructor.
"""
import os
import json
from safetensors.torch import load_file
is_local = os.path.exists(f"{path}.json") and os.path.exists(f"{path}.safetensors")
if is_local:
config_file = f"{path}.json"
model_file = f"{path}.safetensors"
else:
from huggingface_hub import hf_hub_download
path_parts = path.split('/')
repo_id = f'{path_parts[0]}/{path_parts[1]}'
model_name = '/'.join(path_parts[2:])
config_file = hf_hub_download(repo_id, f"{model_name}.json")
model_file = hf_hub_download(repo_id, f"{model_name}.safetensors")
with open(config_file, 'r') as f:
config = json.load(f)
model = __getattr__(config['name'])(**config['args'], **kwargs)
model.load_state_dict(load_file(model_file))
return model
# For Pylance
if __name__ == '__main__':
from .sparse_structure_vae import SparseStructureEncoder, SparseStructureDecoder
from .sparse_structure_flow import SparseStructureFlowModel
from .structured_latent_vae import SLatEncoder, SLatGaussianDecoder, SLatRadianceFieldDecoder, SLatMeshDecoder
from .structured_latent_flow import SLatFlowModel
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from typing import *
import torch
import torch.nn as nn
import torch.nn.functional as F
import numpy as np
from ..modules.utils import convert_module_to_f16, convert_module_to_f32
from ..modules.transformer import AbsolutePositionEmbedder, ModulatedTransformerCrossBlock
from ..modules.spatial import patchify, unpatchify
class TimestepEmbedder(nn.Module):
"""
Embeds scalar timesteps into vector representations.
"""
def __init__(self, hidden_size, frequency_embedding_size=256):
super().__init__()
self.mlp = nn.Sequential(
nn.Linear(frequency_embedding_size, hidden_size, bias=True),
nn.SiLU(),
nn.Linear(hidden_size, hidden_size, bias=True),
)
self.frequency_embedding_size = frequency_embedding_size
@staticmethod
def timestep_embedding(t, dim, max_period=10000):
"""
Create sinusoidal timestep embeddings.
Args:
t: a 1-D Tensor of N indices, one per batch element.
These may be fractional.
dim: the dimension of the output.
max_period: controls the minimum frequency of the embeddings.
Returns:
an (N, D) Tensor of positional embeddings.
"""
# https://github.com/openai/glide-text2im/blob/main/glide_text2im/nn.py
half = dim // 2
freqs = torch.exp(
-np.log(max_period) * torch.arange(start=0, end=half, dtype=torch.float32) / half
).to(device=t.device)
args = t[:, None].float() * freqs[None]
embedding = torch.cat([torch.cos(args), torch.sin(args)], dim=-1)
if dim % 2:
embedding = torch.cat([embedding, torch.zeros_like(embedding[:, :1])], dim=-1)
return embedding
def forward(self, t):
t_freq = self.timestep_embedding(t, self.frequency_embedding_size)
t_emb = self.mlp(t_freq)
return t_emb
class SparseStructureFlowModel(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,
pe_mode: Literal["ape", "rope"] = "ape",
use_fp16: bool = False,
use_checkpoint: bool = False,
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.pe_mode = pe_mode
self.use_fp16 = use_fp16
self.use_checkpoint = use_checkpoint
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
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":
pos_embedder = AbsolutePositionEmbedder(model_channels, 3)
coords = torch.meshgrid(*[torch.arange(res, device=self.device) for res in [resolution // patch_size] * 3], indexing='ij')
coords = torch.stack(coords, dim=-1).reshape(-1, 3)
pos_emb = pos_embedder(coords)
self.register_buffer("pos_emb", pos_emb)
self.input_layer = nn.Linear(in_channels * patch_size**3, model_channels)
self.blocks = nn.ModuleList([
ModulatedTransformerCrossBlock(
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=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_layer = nn.Linear(model_channels, out_channels * patch_size**3)
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.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)
# 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: torch.Tensor, t: torch.Tensor, cond: torch.Tensor) -> torch.Tensor:
assert [*x.shape] == [x.shape[0], self.in_channels, *[self.resolution] * 3], \
f"Input shape mismatch, got {x.shape}, expected {[x.shape[0], self.in_channels, *[self.resolution] * 3]}"
h = patchify(x, self.patch_size)
h = h.view(*h.shape[:2], -1).permute(0, 2, 1).contiguous()
h = self.input_layer(h)
h = h + self.pos_emb[None]
t_emb = self.t_embedder(t)
if self.share_mod:
t_emb = self.adaLN_modulation(t_emb)
t_emb = t_emb.type(self.dtype)
h = h.type(self.dtype)
cond = cond.type(self.dtype)
for block in self.blocks:
h = block(h, t_emb, cond)
h = h.type(x.dtype)
h = F.layer_norm(h, h.shape[-1:])
h = self.out_layer(h)
h = h.permute(0, 2, 1).view(h.shape[0], h.shape[2], *[self.resolution // self.patch_size] * 3)
h = unpatchify(h, self.patch_size).contiguous()
return h
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from typing import *
import torch
import torch.nn as nn
import torch.nn.functional as F
from ..modules.norm import GroupNorm32, ChannelLayerNorm32
from ..modules.spatial import pixel_shuffle_3d
from ..modules.utils import zero_module, convert_module_to_f16, convert_module_to_f32
def norm_layer(norm_type: str, *args, **kwargs) -> nn.Module:
"""
Return a normalization layer.
"""
if norm_type == "group":
return GroupNorm32(32, *args, **kwargs)
elif norm_type == "layer":
return ChannelLayerNorm32(*args, **kwargs)
else:
raise ValueError(f"Invalid norm type {norm_type}")
class ResBlock3d(nn.Module):
def __init__(
self,
channels: int,
out_channels: Optional[int] = None,
norm_type: Literal["group", "layer"] = "layer",
):
super().__init__()
self.channels = channels
self.out_channels = out_channels or channels
self.norm1 = norm_layer(norm_type, channels)
self.norm2 = norm_layer(norm_type, self.out_channels)
self.conv1 = nn.Conv3d(channels, self.out_channels, 3, padding=1)
self.conv2 = zero_module(nn.Conv3d(self.out_channels, self.out_channels, 3, padding=1))
self.skip_connection = nn.Conv3d(channels, self.out_channels, 1) if channels != self.out_channels else nn.Identity()
def forward(self, x: torch.Tensor) -> torch.Tensor:
h = self.norm1(x)
h = F.silu(h)
h = self.conv1(h)
h = self.norm2(h)
h = F.silu(h)
h = self.conv2(h)
h = h + self.skip_connection(x)
return h
class DownsampleBlock3d(nn.Module):
def __init__(
self,
in_channels: int,
out_channels: int,
mode: Literal["conv", "avgpool"] = "conv",
):
assert mode in ["conv", "avgpool"], f"Invalid mode {mode}"
super().__init__()
self.in_channels = in_channels
self.out_channels = out_channels
if mode == "conv":
self.conv = nn.Conv3d(in_channels, out_channels, 2, stride=2)
elif mode == "avgpool":
assert in_channels == out_channels, "Pooling mode requires in_channels to be equal to out_channels"
def forward(self, x: torch.Tensor) -> torch.Tensor:
if hasattr(self, "conv"):
return self.conv(x)
else:
return F.avg_pool3d(x, 2)
class UpsampleBlock3d(nn.Module):
def __init__(
self,
in_channels: int,
out_channels: int,
mode: Literal["conv", "nearest"] = "conv",
):
assert mode in ["conv", "nearest"], f"Invalid mode {mode}"
super().__init__()
self.in_channels = in_channels
self.out_channels = out_channels
if mode == "conv":
self.conv = nn.Conv3d(in_channels, out_channels*8, 3, padding=1)
elif mode == "nearest":
assert in_channels == out_channels, "Nearest mode requires in_channels to be equal to out_channels"
def forward(self, x: torch.Tensor) -> torch.Tensor:
if hasattr(self, "conv"):
x = self.conv(x)
return pixel_shuffle_3d(x, 2)
else:
return F.interpolate(x, scale_factor=2, mode="nearest")
class SparseStructureEncoder(nn.Module):
"""
Encoder for Sparse Structure (\mathcal{E}_S in the paper Sec. 3.3).
Args:
in_channels (int): Channels of the input.
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 encoder 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,
in_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.in_channels = in_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(in_channels, channels[0], 3, padding=1)
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(
DownsampleBlock3d(ch, channels[i+1])
)
self.middle_block = nn.Sequential(*[
ResBlock3d(channels[-1], channels[-1])
for _ in range(num_res_blocks_middle)
])
self.out_layer = nn.Sequential(
norm_layer(norm_type, channels[-1]),
nn.SiLU(),
nn.Conv3d(channels[-1], latent_channels*2, 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, 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
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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]
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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)