Integrate CRM

This commit is contained in:
MrForExample
2024-03-12 22:41:44 +01:00
parent b4e136aa55
commit f553d3eb27
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@@ -13,10 +13,18 @@
### Note: this project is still a WIP
## Currently support:
- For use case please check [Example Workflows](./_Example_Workflows/). [**Last update: 05/03/2024**]
- For use case please check [Example Workflows](./_Example_Workflows/). [**Last update: 12/03/2024**]
- **Note:** you need to put [Example Inputs Files & Folders](_Example_Workflows/_Example_Inputs_Files/) under ComfyUI Root Directory\ComfyUI\input folder before you can run the example workflow
- [tripoSR-layered-diffusion workflow](https://github.com/C0nsumption/Consume-ComfyUI-Workflows/tree/main/assets/tripo_sr/00) by [@Consumption](https://twitter.com/c0nsumption_)
- **CRM**: [thu-ml/CRM](https://github.com/thu-ml/CRM)
- Three stages pipeline:
1. Image to 6 multi-view images (Front, Back, Left, Right, Top & Down)
2. Image & 6 multi-view images to 6 same views CCMs (Canonical Coordinate Maps)
3. 6 multi-view images & CCMs to 3D mesh
- *Note: For low vram pc, if you can't fit all three models for each stages into your GPU memory, then you can divide those three stages into different comfy workflow and run them separately*
- **TripoSR**: [VAST-AI-Research/TripoSR](https://github.com/VAST-AI-Research/TripoSR) | [ComfyUI-Flowty-TripoSR](https://github.com/flowtyone/ComfyUI-Flowty-TripoSR)
- Generate NeRF representation and using marching cube to turn it into 3D mesh
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@@ -1,9 +0,0 @@
import numpy as np
import torch
vector3_tensor = torch.tensor([[1, 2, 3], [3, 2, 1], [2, 3, 1]]) # shape (N, 3)
target_axis = (2, 0, 1) # or [2, 0, 1]
vector3_tensor[:, [0, 1, 2]] = vector3_tensor[:, target_axis]
print(vector3_tensor)
@@ -0,0 +1,185 @@
import numpy as np
import torch
import time
import nvdiffrast.torch as dr
from PIL import Image
from ..crm.util.utils import get_tri
class CRMSampler:
@classmethod
def process_pixel_img(
cls,
pixel_img: Image.Image,
bg_color = "#7F7F7F"
):
# expand image to 1:1 squared and add fixed background color
width, height = pixel_img.size
new_size = (max(width, height), max(width, height))
new_image = Image.new("RGBA", new_size, bg_color)
paste_position = ((new_size[0] - width) // 2, (new_size[1] - height) // 2)
new_image.paste(pixel_img, paste_position)
# given an RGBA image fixed background color, alpha channel is used as mask to add background color
background = Image.new("RGBA", new_image.size, bg_color)
return Image.alpha_composite(background, new_image).convert("RGB")
@classmethod
def stage1_sample(
cls,
stage1_sampler,
pixel_img: Image.Image,
prompt="3D assets",
neg_texts="uniform low no texture ugly, boring, bad anatomy, blurry, pixelated, obscure, unnatural colors, poor lighting, dull, and unclear.",
seed=0,
scale=5,
step=50,
ddim_eta=0.0
):
"""
The first stage was condition on single pixel image, gererate multi-view pixel image, based on the v2pp config
"""
stage1_sampler.seed = seed
uc = stage1_sampler.model.get_learned_conditioning([neg_texts]).to(stage1_sampler.device)
stage1_images = stage1_sampler.i2i(
stage1_sampler.model,
stage1_sampler.size,
prompt,
uc=uc,
sampler=stage1_sampler.sampler,
ip=pixel_img,
step=step,
scale=scale,
batch_size=stage1_sampler.batch_size,
ddim_eta=ddim_eta,
dtype=stage1_sampler.dtype,
device=stage1_sampler.device,
camera=stage1_sampler.camera,
num_frames=stage1_sampler.num_frames,
pixel_control=(stage1_sampler.mode == "pixel"),
transform=stage1_sampler.image_transform,
offset_noise=stage1_sampler.offset_noise,
)
stage1_images = stage1_images[:-1] # remove reference view
return stage1_images # (N, H, W, 3) in [0, 1]
@classmethod
def stage2_sample(
cls,
stage2_sampler,
pixel_img: Image.Image,
stage1_images,
prompt="3D assets",
neg_texts="uniform low no texture ugly, boring, bad anatomy, blurry, pixelated, obscure, unnatural colors, poor lighting, dull, and unclear.",
seed=0,
scale=5,
step=50
):
"""
The second stage was condition on multiview pixel image generated by the first stage, generate the final image, based on the stage2-test config
"""
stage2_sampler.seed = seed
# Convert torch image to PIL.Image
stage1_images = list((255.0 * stage1_images.cpu().numpy()).astype(np.uint8))
stage1_images = [Image.fromarray(img) for img in stage1_images]
uc = stage2_sampler.model.get_learned_conditioning([neg_texts]).to(stage2_sampler.device)
stage2_images = stage2_sampler.i2iStage2(
stage2_sampler.model,
stage2_sampler.size,
prompt,
uc=uc,
sampler=stage2_sampler.sampler,
pixel_images=stage1_images,
ip=pixel_img,
step=step,
scale=scale,
batch_size=stage2_sampler.batch_size,
ddim_eta=0.0,
dtype=stage2_sampler.dtype,
device=stage2_sampler.device,
camera=stage2_sampler.camera,
num_frames=stage2_sampler.num_frames,
pixel_control=(stage2_sampler.mode == "pixel"),
transform=stage2_sampler.image_transform,
offset_noise=stage2_sampler.offset_noise,
)
return stage2_images # (N, H, W, 3) in [0, 1]
@classmethod
def generate3d(cls, crm_model, rgb, ccm, device):
color_tri = torch.from_numpy(rgb)
xyz_tri = torch.from_numpy(ccm[:,:,(2,1,0)])
color = color_tri.permute(2,0,1)
xyz = xyz_tri.permute(2,0,1)
def get_imgs(color):
# color : [C, H, W*6]
color_list = []
color_list.append(color[:,:,256*5:256*(1+5)])
for i in range(0,5):
color_list.append(color[:,:,256*i:256*(1+i)])
return torch.stack(color_list, dim=0)# [6, C, H, W]
triplane_color = get_imgs(color).permute(0,2,3,1).unsqueeze(0).to(device)# [1, 6, H, W, C]
color = get_imgs(color)
xyz = get_imgs(xyz)
color = get_tri(color, dim=0, blender= True, scale = 1).unsqueeze(0)
xyz = get_tri(xyz, dim=0, blender= True, scale = 1, fix= True).unsqueeze(0)
triplane = torch.cat([color,xyz],dim=1).to(device)
# 3D visualize
crm_model.eval()
glctx = dr.RasterizeCudaContext()
if crm_model.denoising == True:
tnew = 20
tnew = torch.randint(tnew, tnew+1, [triplane.shape[0]], dtype=torch.long, device=triplane.device)
noise_new = torch.randn_like(triplane) *0.5+0.5
triplane = crm_model.scheduler.add_noise(triplane, noise_new, tnew)
start_time = time.time()
with torch.no_grad():
triplane_feature2 = crm_model.unet2(triplane,tnew)
end_time = time.time()
elapsed_time = end_time - start_time
print(f"Running unet takes {elapsed_time}s")
else:
triplane_feature2 = crm_model.unet2(triplane)
with torch.no_grad():
data_config = {
'resolution': [1024, 1024],
"triview_color": triplane_color.to(device),
}
verts, faces = crm_model.decode(data_config, triplane_feature2)
data_config['verts'] = verts[0]
data_config['faces'] = faces
from kiui.mesh_utils import clean_mesh
verts, faces = clean_mesh(data_config['verts'].squeeze().cpu().numpy().astype(np.float32), data_config['faces'].squeeze().cpu().numpy().astype(np.int32), repair = False, remesh=False, remesh_size=0.005)
data_config['verts'] = torch.from_numpy(verts).cuda().contiguous()
data_config['faces'] = torch.from_numpy(faces).cuda().contiguous()
start_time = time.time()
mesh = crm_model.get_mesh_wt_uv(glctx, data_config, device, res=(1024,1024), tri_fea_2=triplane_feature2)
end_time = time.time()
elapsed_time = end_time - start_time
print(f"Extracting mesh & texture takes {elapsed_time}s")
return mesh
@@ -0,0 +1,74 @@
model:
target: crm.imagedream.ldm.interface.LatentDiffusionInterface
params:
linear_start: 0.00085
linear_end: 0.0120
timesteps: 1000
scale_factor: 0.18215
parameterization: "eps"
zero_snr: true
unet_config:
target: crm.imagedream.ldm.modules.diffusionmodules.openaimodel.MultiViewUNetModelStage2
params:
image_size: 32 # unused
in_channels: 8
out_channels: 4
model_channels: 320
attention_resolutions: [ 4, 2, 1 ]
num_res_blocks: 2
channel_mult: [ 1, 2, 4, 4 ]
num_head_channels: 64 # need to fix for flash-attn
use_spatial_transformer: True
use_linear_in_transformer: True
transformer_depth: 1
context_dim: 1024
use_checkpoint: False
legacy: False
camera_dim: 16
with_ip: True
ip_dim: 16 # ip token length
ip_mode: "local_resample"
vae_config:
target: crm.imagedream.ldm.models.autoencoder.AutoencoderKL
params:
embed_dim: 4
monitor: val/rec_loss
ddconfig:
#attn_type: "vanilla-xformers"
double_z: true
z_channels: 4
resolution: 256
in_channels: 3
out_ch: 3
ch: 128
ch_mult:
- 1
- 2
- 4
- 4
num_res_blocks: 2
attn_resolutions: []
dropout: 0.0
lossconfig:
target: torch.nn.Identity
clip_config:
target: crm.imagedream.ldm.modules.encoders.modules.FrozenOpenCLIPEmbedder
params:
freeze: True
layer: "penultimate"
ip_mode: "local_resample"
sampler:
target: crm.libs.sample.ImageDreamDiffusionStage2
params:
mode: pixel
num_frames: 6
camera_views: [1, 2, 3, 4, 5, 0]
ref_position: null
random_background: false
offset_noise: true
resize_rate: 1.0
@@ -0,0 +1,73 @@
model:
target: crm.imagedream.ldm.interface.LatentDiffusionInterface
params:
linear_start: 0.00085
linear_end: 0.0120
timesteps: 1000
scale_factor: 0.18215
parameterization: "eps"
zero_snr: true
unet_config:
target: crm.imagedream.ldm.modules.diffusionmodules.openaimodel.MultiViewUNetModel
params:
image_size: 32 # unused
in_channels: 4
out_channels: 4
model_channels: 320
attention_resolutions: [ 4, 2, 1 ]
num_res_blocks: 2
channel_mult: [ 1, 2, 4, 4 ]
num_head_channels: 64 # need to fix for flash-attn
use_spatial_transformer: True
use_linear_in_transformer: True
transformer_depth: 1
context_dim: 1024
use_checkpoint: False
legacy: False
camera_dim: 16
with_ip: True
ip_dim: 16 # ip token length
ip_mode: "local_resample"
vae_config:
target: crm.imagedream.ldm.models.autoencoder.AutoencoderKL
params:
embed_dim: 4
monitor: val/rec_loss
ddconfig:
#attn_type: "vanilla-xformers"
double_z: true
z_channels: 4
resolution: 256
in_channels: 3
out_ch: 3
ch: 128
ch_mult:
- 1
- 2
- 4
- 4
num_res_blocks: 2
attn_resolutions: []
dropout: 0.0
lossconfig:
target: torch.nn.Identity
clip_config:
target: crm.imagedream.ldm.modules.encoders.modules.FrozenOpenCLIPEmbedder
params:
freeze: True
layer: "penultimate"
ip_mode: "local_resample"
sampler:
target: crm.libs.sample.ImageDreamDiffusion
params:
mode: pixel
num_frames: 7
camera_views: [1, 2, 3, 4, 5, 0, 0]
ref_position: 6
random_background: false
offset_noise: true
resize_rate: 1.0
@@ -0,0 +1,57 @@
{
"Input": {
"img_num": 16,
"class": "all",
"camera_angle_num": 8,
"tet_grid_size": 80,
"validate_num": 16,
"scale": 0.95,
"radius": 3,
"resolution": [256, 256]
},
"Pretrain": {
"mode": null,
"sdf_threshold": 0.1,
"sdf_scale": 10,
"batch_infer": false,
"lr": 1e-4,
"radius": 0.5
},
"Train": {
"mode": "rnd",
"num_epochs": 500,
"grad_acc": 1,
"warm_up": 0,
"decay": 0.000,
"learning_rate": {
"init": 1e-4,
"sdf_decay": 1,
"rgb_decay": 1
},
"batch_size": 4,
"eva_iter": 80,
"eva_all_epoch": 10,
"tex_sup_mode": "blender",
"exp_uv_mesh": false,
"doub": false,
"random_bg": false,
"shift": 0,
"aug_shift": 0,
"geo_type": "flex"
},
"ArchSpecs": {
"unet_type": "diffusers",
"use_3D_aware": false,
"fea_concat": false,
"mlp_bias": true
},
"DecoderSpecs": {
"c_dim": 32,
"plane_resolution": 256
}
}
+1
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@@ -0,0 +1 @@
from .model_zoo import build_model
+99
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@@ -0,0 +1,99 @@
import numpy as np
import torch
def create_camera_to_world_matrix(elevation, azimuth):
elevation = np.radians(elevation)
azimuth = np.radians(azimuth)
# Convert elevation and azimuth angles to Cartesian coordinates on a unit sphere
x = np.cos(elevation) * np.sin(azimuth)
y = np.sin(elevation)
z = np.cos(elevation) * np.cos(azimuth)
# Calculate camera position, target, and up vectors
camera_pos = np.array([x, y, z])
target = np.array([0, 0, 0])
up = np.array([0, 1, 0])
# Construct view matrix
forward = target - camera_pos
forward /= np.linalg.norm(forward)
right = np.cross(forward, up)
right /= np.linalg.norm(right)
new_up = np.cross(right, forward)
new_up /= np.linalg.norm(new_up)
cam2world = np.eye(4)
cam2world[:3, :3] = np.array([right, new_up, -forward]).T
cam2world[:3, 3] = camera_pos
return cam2world
def convert_opengl_to_blender(camera_matrix):
if isinstance(camera_matrix, np.ndarray):
# Construct transformation matrix to convert from OpenGL space to Blender space
flip_yz = np.array([[1, 0, 0, 0], [0, 0, -1, 0], [0, 1, 0, 0], [0, 0, 0, 1]])
camera_matrix_blender = np.dot(flip_yz, camera_matrix)
else:
# Construct transformation matrix to convert from OpenGL space to Blender space
flip_yz = torch.tensor(
[[1, 0, 0, 0], [0, 0, -1, 0], [0, 1, 0, 0], [0, 0, 0, 1]]
)
if camera_matrix.ndim == 3:
flip_yz = flip_yz.unsqueeze(0)
camera_matrix_blender = torch.matmul(flip_yz.to(camera_matrix), camera_matrix)
return camera_matrix_blender
def normalize_camera(camera_matrix):
"""normalize the camera location onto a unit-sphere"""
if isinstance(camera_matrix, np.ndarray):
camera_matrix = camera_matrix.reshape(-1, 4, 4)
translation = camera_matrix[:, :3, 3]
translation = translation / (
np.linalg.norm(translation, axis=1, keepdims=True) + 1e-8
)
camera_matrix[:, :3, 3] = translation
else:
camera_matrix = camera_matrix.reshape(-1, 4, 4)
translation = camera_matrix[:, :3, 3]
translation = translation / (
torch.norm(translation, dim=1, keepdim=True) + 1e-8
)
camera_matrix[:, :3, 3] = translation
return camera_matrix.reshape(-1, 16)
def get_camera(
num_frames,
elevation=15,
azimuth_start=0,
azimuth_span=360,
blender_coord=True,
extra_view=False,
):
angle_gap = azimuth_span / num_frames
cameras = []
for azimuth in np.arange(azimuth_start, azimuth_span + azimuth_start, angle_gap):
camera_matrix = create_camera_to_world_matrix(elevation, azimuth)
if blender_coord:
camera_matrix = convert_opengl_to_blender(camera_matrix)
cameras.append(camera_matrix.flatten())
if extra_view:
dim = len(cameras[0])
cameras.append(np.zeros(dim))
return torch.tensor(np.stack(cameras, 0)).float()
def get_camera_for_index(data_index):
"""
按照当前我们的数据格式, 以000为正对我们的情况:
000是正面, ev: 0, azimuth: 0
001是左边, ev: 0, azimuth: -90
002是下面, ev: -90, azimuth: 0
003是背面, ev: 0, azimuth: 180
004是右边, ev: 0, azimuth: 90
005是上面, ev: 90, azimuth: 0
"""
params = [(0, 0), (0, -90), (-90, 0), (0, 180), (0, 90), (90, 0)]
return get_camera(1, *params[data_index])
@@ -0,0 +1,61 @@
model:
target: imagedream.ldm.interface.LatentDiffusionInterface
params:
linear_start: 0.00085
linear_end: 0.0120
timesteps: 1000
scale_factor: 0.18215
parameterization: "eps"
unet_config:
target: imagedream.ldm.modules.diffusionmodules.openaimodel.MultiViewUNetModel
params:
image_size: 32 # unused
in_channels: 4
out_channels: 4
model_channels: 320
attention_resolutions: [ 4, 2, 1 ]
num_res_blocks: 2
channel_mult: [ 1, 2, 4, 4 ]
num_head_channels: 64 # need to fix for flash-attn
use_spatial_transformer: True
use_linear_in_transformer: True
transformer_depth: 1
context_dim: 1024
use_checkpoint: False
legacy: False
camera_dim: 16
with_ip: True
ip_dim: 16 # ip token length
ip_mode: "local_resample"
vae_config:
target: imagedream.ldm.models.autoencoder.AutoencoderKL
params:
embed_dim: 4
monitor: val/rec_loss
ddconfig:
#attn_type: "vanilla-xformers"
double_z: true
z_channels: 4
resolution: 256
in_channels: 3
out_ch: 3
ch: 128
ch_mult:
- 1
- 2
- 4
- 4
num_res_blocks: 2
attn_resolutions: []
dropout: 0.0
lossconfig:
target: torch.nn.Identity
clip_config:
target: imagedream.ldm.modules.encoders.modules.FrozenOpenCLIPEmbedder
params:
freeze: True
layer: "penultimate"
ip_mode: "local_resample"
@@ -0,0 +1,61 @@
model:
target: imagedream.ldm.interface.LatentDiffusionInterface
params:
linear_start: 0.00085
linear_end: 0.0120
timesteps: 1000
scale_factor: 0.18215
parameterization: "eps"
unet_config:
target: imagedream.ldm.modules.diffusionmodules.openaimodel.MultiViewUNetModel
params:
image_size: 32 # unused
in_channels: 8
out_channels: 8
model_channels: 320
attention_resolutions: [ 4, 2, 1 ]
num_res_blocks: 2
channel_mult: [ 1, 2, 4, 4 ]
num_head_channels: 64 # need to fix for flash-attn
use_spatial_transformer: True
use_linear_in_transformer: True
transformer_depth: 1
context_dim: 1024
use_checkpoint: False
legacy: False
camera_dim: 16
with_ip: True
ip_dim: 16 # ip token length
ip_mode: "local_resample"
vae_config:
target: imagedream.ldm.models.autoencoder.AutoencoderKL
params:
embed_dim: 4
monitor: val/rec_loss
ddconfig:
#attn_type: "vanilla-xformers"
double_z: true
z_channels: 4
resolution: 256
in_channels: 3
out_ch: 3
ch: 128
ch_mult:
- 1
- 2
- 4
- 4
num_res_blocks: 2
attn_resolutions: []
dropout: 0.0
lossconfig:
target: torch.nn.Identity
clip_config:
target: imagedream.ldm.modules.encoders.modules.FrozenOpenCLIPEmbedder
params:
freeze: True
layer: "penultimate"
ip_mode: "local_resample"
@@ -0,0 +1,61 @@
model:
target: imagedream.ldm.interface.LatentDiffusionInterface
params:
linear_start: 0.00085
linear_end: 0.0120
timesteps: 1000
scale_factor: 0.18215
parameterization: "eps"
unet_config:
target: imagedream.ldm.modules.diffusionmodules.openaimodel.MultiViewUNetModelStage2
params:
image_size: 32 # unused
in_channels: 8
out_channels: 4
model_channels: 320
attention_resolutions: [ 4, 2, 1 ]
num_res_blocks: 2
channel_mult: [ 1, 2, 4, 4 ]
num_head_channels: 64 # need to fix for flash-attn
use_spatial_transformer: True
use_linear_in_transformer: True
transformer_depth: 1
context_dim: 1024
use_checkpoint: False
legacy: False
camera_dim: 16
with_ip: True
ip_dim: 16 # ip token length
ip_mode: "local_resample"
vae_config:
target: imagedream.ldm.models.autoencoder.AutoencoderKL
params:
embed_dim: 4
monitor: val/rec_loss
ddconfig:
#attn_type: "vanilla-xformers"
double_z: true
z_channels: 4
resolution: 256
in_channels: 3
out_ch: 3
ch: 128
ch_mult:
- 1
- 2
- 4
- 4
num_res_blocks: 2
attn_resolutions: []
dropout: 0.0
lossconfig:
target: torch.nn.Identity
clip_config:
target: imagedream.ldm.modules.encoders.modules.FrozenOpenCLIPEmbedder
params:
freeze: True
layer: "penultimate"
ip_mode: "local_resample"
@@ -0,0 +1,62 @@
model:
target: imagedream.ldm.interface.LatentDiffusionInterface
params:
linear_start: 0.00085
linear_end: 0.0120
timesteps: 1000
scale_factor: 0.18215
parameterization: "eps"
unet_config:
target: imagedream.ldm.modules.diffusionmodules.openaimodel.MultiViewUNetModel
params:
image_size: 32 # unused
in_channels: 4
out_channels: 4
model_channels: 320
attention_resolutions: [ 4, 2, 1 ]
num_res_blocks: 2
channel_mult: [ 1, 2, 4, 4 ]
num_head_channels: 64 # need to fix for flash-attn
use_spatial_transformer: True
use_linear_in_transformer: True
transformer_depth: 1
context_dim: 1024
use_checkpoint: False
legacy: False
camera_dim: 16
with_ip: True
ip_dim: 16 # ip token length
ip_mode: "local_resample"
ip_weight: 1.0 # adjust for similarity to image
vae_config:
target: imagedream.ldm.models.autoencoder.AutoencoderKL
params:
embed_dim: 4
monitor: val/rec_loss
ddconfig:
#attn_type: "vanilla-xformers"
double_z: true
z_channels: 4
resolution: 256
in_channels: 3
out_ch: 3
ch: 128
ch_mult:
- 1
- 2
- 4
- 4
num_res_blocks: 2
attn_resolutions: []
dropout: 0.0
lossconfig:
target: torch.nn.Identity
clip_config:
target: imagedream.ldm.modules.encoders.modules.FrozenOpenCLIPEmbedder
params:
freeze: True
layer: "penultimate"
ip_mode: "local_resample"
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+205
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@@ -0,0 +1,205 @@
from typing import List
from functools import partial
import numpy as np
import torch
import torch.nn as nn
from .modules.diffusionmodules.util import (
make_beta_schedule,
extract_into_tensor,
enforce_zero_terminal_snr,
noise_like,
)
from .util import exists, default, instantiate_from_config
from .modules.distributions.distributions import DiagonalGaussianDistribution
class DiffusionWrapper(nn.Module):
def __init__(self, diffusion_model):
super().__init__()
self.diffusion_model = diffusion_model
def forward(self, *args, **kwargs):
return self.diffusion_model(*args, **kwargs)
class LatentDiffusionInterface(nn.Module):
"""a simple interface class for LDM inference"""
def __init__(
self,
unet_config,
clip_config,
vae_config,
parameterization="eps",
scale_factor=0.18215,
beta_schedule="linear",
timesteps=1000,
linear_start=0.00085,
linear_end=0.0120,
cosine_s=8e-3,
given_betas=None,
zero_snr=False,
*args,
**kwargs,
):
super().__init__()
unet = instantiate_from_config(unet_config)
self.model = DiffusionWrapper(unet)
self.clip_model = instantiate_from_config(clip_config)
self.vae_model = instantiate_from_config(vae_config)
self.parameterization = parameterization
self.scale_factor = scale_factor
self.register_schedule(
given_betas=given_betas,
beta_schedule=beta_schedule,
timesteps=timesteps,
linear_start=linear_start,
linear_end=linear_end,
cosine_s=cosine_s,
zero_snr=zero_snr
)
def register_schedule(
self,
given_betas=None,
beta_schedule="linear",
timesteps=1000,
linear_start=1e-4,
linear_end=2e-2,
cosine_s=8e-3,
zero_snr=False
):
if exists(given_betas):
betas = given_betas
else:
betas = make_beta_schedule(
beta_schedule,
timesteps,
linear_start=linear_start,
linear_end=linear_end,
cosine_s=cosine_s,
)
if zero_snr:
print("--- using zero snr---")
betas = enforce_zero_terminal_snr(betas).numpy()
alphas = 1.0 - betas
alphas_cumprod = np.cumprod(alphas, axis=0)
alphas_cumprod_prev = np.append(1.0, alphas_cumprod[:-1])
(timesteps,) = betas.shape
self.num_timesteps = int(timesteps)
self.linear_start = linear_start
self.linear_end = linear_end
assert (
alphas_cumprod.shape[0] == self.num_timesteps
), "alphas have to be defined for each timestep"
to_torch = partial(torch.tensor, dtype=torch.float32)
self.register_buffer("betas", to_torch(betas))
self.register_buffer("alphas_cumprod", to_torch(alphas_cumprod))
self.register_buffer("alphas_cumprod_prev", to_torch(alphas_cumprod_prev))
# calculations for diffusion q(x_t | x_{t-1}) and others
self.register_buffer("sqrt_alphas_cumprod", to_torch(np.sqrt(alphas_cumprod)))
self.register_buffer(
"sqrt_one_minus_alphas_cumprod", to_torch(np.sqrt(1.0 - alphas_cumprod))
)
self.register_buffer(
"log_one_minus_alphas_cumprod", to_torch(np.log(1.0 - alphas_cumprod))
)
self.register_buffer(
"sqrt_recip_alphas_cumprod", to_torch(np.sqrt(1.0 / alphas_cumprod))
)
self.register_buffer(
"sqrt_recipm1_alphas_cumprod", to_torch(np.sqrt(1.0 / alphas_cumprod - 1))
)
# calculations for posterior q(x_{t-1} | x_t, x_0)
self.v_posterior = 0
posterior_variance = (1 - self.v_posterior) * betas * (
1.0 - alphas_cumprod_prev
) / (1.0 - alphas_cumprod) + self.v_posterior * betas
# above: equal to 1. / (1. / (1. - alpha_cumprod_tm1) + alpha_t / beta_t)
self.register_buffer("posterior_variance", to_torch(posterior_variance))
# below: log calculation clipped because the posterior variance is 0 at the beginning of the diffusion chain
self.register_buffer(
"posterior_log_variance_clipped",
to_torch(np.log(np.maximum(posterior_variance, 1e-20))),
)
self.register_buffer(
"posterior_mean_coef1",
to_torch(betas * np.sqrt(alphas_cumprod_prev) / (1.0 - alphas_cumprod)),
)
self.register_buffer(
"posterior_mean_coef2",
to_torch(
(1.0 - alphas_cumprod_prev) * np.sqrt(alphas) / (1.0 - alphas_cumprod)
),
)
def q_sample(self, x_start, t, noise=None):
noise = default(noise, lambda: torch.randn_like(x_start))
return (
extract_into_tensor(self.sqrt_alphas_cumprod, t, x_start.shape) * x_start
+ extract_into_tensor(self.sqrt_one_minus_alphas_cumprod, t, x_start.shape)
* noise
)
def get_v(self, x, noise, t):
return (
extract_into_tensor(self.sqrt_alphas_cumprod, t, x.shape) * noise
- extract_into_tensor(self.sqrt_one_minus_alphas_cumprod, t, x.shape) * x
)
def predict_start_from_noise(self, x_t, t, noise):
return (
extract_into_tensor(self.sqrt_recip_alphas_cumprod, t, x_t.shape) * x_t
- extract_into_tensor(self.sqrt_recipm1_alphas_cumprod, t, x_t.shape)
* noise
)
def predict_start_from_z_and_v(self, x_t, t, v):
return (
extract_into_tensor(self.sqrt_alphas_cumprod, t, x_t.shape) * x_t
- extract_into_tensor(self.sqrt_one_minus_alphas_cumprod, t, x_t.shape) * v
)
def predict_eps_from_z_and_v(self, x_t, t, v):
return (
extract_into_tensor(self.sqrt_alphas_cumprod, t, x_t.shape) * v
+ extract_into_tensor(self.sqrt_one_minus_alphas_cumprod, t, x_t.shape)
* x_t
)
def apply_model(self, x_noisy, t, cond, **kwargs):
assert isinstance(cond, dict), "cond has to be a dictionary"
return self.model(x_noisy, t, **cond, **kwargs)
def get_learned_conditioning(self, prompts: List[str]):
return self.clip_model(prompts)
def get_learned_image_conditioning(self, images):
return self.clip_model.forward_image(images)
def get_first_stage_encoding(self, encoder_posterior):
if isinstance(encoder_posterior, DiagonalGaussianDistribution):
z = encoder_posterior.sample()
elif isinstance(encoder_posterior, torch.Tensor):
z = encoder_posterior
else:
raise NotImplementedError(
f"encoder_posterior of type '{type(encoder_posterior)}' not yet implemented"
)
return self.scale_factor * z
def encode_first_stage(self, x):
return self.vae_model.encode(x)
def decode_first_stage(self, z):
z = 1.0 / self.scale_factor * z
return self.vae_model.decode(z)
+270
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@@ -0,0 +1,270 @@
import torch
import torch.nn.functional as F
from contextlib import contextmanager
from ..modules.diffusionmodules.model import Encoder, Decoder
from ..modules.distributions.distributions import DiagonalGaussianDistribution
from ..util import instantiate_from_config
from ..modules.ema import LitEma
class AutoencoderKL(torch.nn.Module):
def __init__(
self,
ddconfig,
lossconfig,
embed_dim,
ckpt_path=None,
ignore_keys=[],
image_key="image",
colorize_nlabels=None,
monitor=None,
ema_decay=None,
learn_logvar=False,
):
super().__init__()
self.learn_logvar = learn_logvar
self.image_key = image_key
self.encoder = Encoder(**ddconfig)
self.decoder = Decoder(**ddconfig)
self.loss = instantiate_from_config(lossconfig)
assert ddconfig["double_z"]
self.quant_conv = torch.nn.Conv2d(2 * ddconfig["z_channels"], 2 * embed_dim, 1)
self.post_quant_conv = torch.nn.Conv2d(embed_dim, ddconfig["z_channels"], 1)
self.embed_dim = embed_dim
if colorize_nlabels is not None:
assert type(colorize_nlabels) == int
self.register_buffer("colorize", torch.randn(3, colorize_nlabels, 1, 1))
if monitor is not None:
self.monitor = monitor
self.use_ema = ema_decay is not None
if self.use_ema:
self.ema_decay = ema_decay
assert 0.0 < ema_decay < 1.0
self.model_ema = LitEma(self, decay=ema_decay)
print(f"Keeping EMAs of {len(list(self.model_ema.buffers()))}.")
if ckpt_path is not None:
self.init_from_ckpt(ckpt_path, ignore_keys=ignore_keys)
def init_from_ckpt(self, path, ignore_keys=list()):
sd = torch.load(path, map_location="cpu")["state_dict"]
keys = list(sd.keys())
for k in keys:
for ik in ignore_keys:
if k.startswith(ik):
print("Deleting key {} from state_dict.".format(k))
del sd[k]
self.load_state_dict(sd, strict=False)
print(f"Restored from {path}")
@contextmanager
def ema_scope(self, context=None):
if self.use_ema:
self.model_ema.store(self.parameters())
self.model_ema.copy_to(self)
if context is not None:
print(f"{context}: Switched to EMA weights")
try:
yield None
finally:
if self.use_ema:
self.model_ema.restore(self.parameters())
if context is not None:
print(f"{context}: Restored training weights")
def on_train_batch_end(self, *args, **kwargs):
if self.use_ema:
self.model_ema(self)
def encode(self, x):
h = self.encoder(x)
moments = self.quant_conv(h)
posterior = DiagonalGaussianDistribution(moments)
return posterior
def decode(self, z):
z = self.post_quant_conv(z)
dec = self.decoder(z)
return dec
def forward(self, input, sample_posterior=True):
posterior = self.encode(input)
if sample_posterior:
z = posterior.sample()
else:
z = posterior.mode()
dec = self.decode(z)
return dec, posterior
def get_input(self, batch, k):
x = batch[k]
if len(x.shape) == 3:
x = x[..., None]
x = x.permute(0, 3, 1, 2).to(memory_format=torch.contiguous_format).float()
return x
def training_step(self, batch, batch_idx, optimizer_idx):
inputs = self.get_input(batch, self.image_key)
reconstructions, posterior = self(inputs)
if optimizer_idx == 0:
# train encoder+decoder+logvar
aeloss, log_dict_ae = self.loss(
inputs,
reconstructions,
posterior,
optimizer_idx,
self.global_step,
last_layer=self.get_last_layer(),
split="train",
)
self.log(
"aeloss",
aeloss,
prog_bar=True,
logger=True,
on_step=True,
on_epoch=True,
)
self.log_dict(
log_dict_ae, prog_bar=False, logger=True, on_step=True, on_epoch=False
)
return aeloss
if optimizer_idx == 1:
# train the discriminator
discloss, log_dict_disc = self.loss(
inputs,
reconstructions,
posterior,
optimizer_idx,
self.global_step,
last_layer=self.get_last_layer(),
split="train",
)
self.log(
"discloss",
discloss,
prog_bar=True,
logger=True,
on_step=True,
on_epoch=True,
)
self.log_dict(
log_dict_disc, prog_bar=False, logger=True, on_step=True, on_epoch=False
)
return discloss
def validation_step(self, batch, batch_idx):
log_dict = self._validation_step(batch, batch_idx)
with self.ema_scope():
log_dict_ema = self._validation_step(batch, batch_idx, postfix="_ema")
return log_dict
def _validation_step(self, batch, batch_idx, postfix=""):
inputs = self.get_input(batch, self.image_key)
reconstructions, posterior = self(inputs)
aeloss, log_dict_ae = self.loss(
inputs,
reconstructions,
posterior,
0,
self.global_step,
last_layer=self.get_last_layer(),
split="val" + postfix,
)
discloss, log_dict_disc = self.loss(
inputs,
reconstructions,
posterior,
1,
self.global_step,
last_layer=self.get_last_layer(),
split="val" + postfix,
)
self.log(f"val{postfix}/rec_loss", log_dict_ae[f"val{postfix}/rec_loss"])
self.log_dict(log_dict_ae)
self.log_dict(log_dict_disc)
return self.log_dict
def configure_optimizers(self):
lr = self.learning_rate
ae_params_list = (
list(self.encoder.parameters())
+ list(self.decoder.parameters())
+ list(self.quant_conv.parameters())
+ list(self.post_quant_conv.parameters())
)
if self.learn_logvar:
print(f"{self.__class__.__name__}: Learning logvar")
ae_params_list.append(self.loss.logvar)
opt_ae = torch.optim.Adam(ae_params_list, lr=lr, betas=(0.5, 0.9))
opt_disc = torch.optim.Adam(
self.loss.discriminator.parameters(), lr=lr, betas=(0.5, 0.9)
)
return [opt_ae, opt_disc], []
def get_last_layer(self):
return self.decoder.conv_out.weight
@torch.no_grad()
def log_images(self, batch, only_inputs=False, log_ema=False, **kwargs):
log = dict()
x = self.get_input(batch, self.image_key)
x = x.to(self.device)
if not only_inputs:
xrec, posterior = self(x)
if x.shape[1] > 3:
# colorize with random projection
assert xrec.shape[1] > 3
x = self.to_rgb(x)
xrec = self.to_rgb(xrec)
log["samples"] = self.decode(torch.randn_like(posterior.sample()))
log["reconstructions"] = xrec
if log_ema or self.use_ema:
with self.ema_scope():
xrec_ema, posterior_ema = self(x)
if x.shape[1] > 3:
# colorize with random projection
assert xrec_ema.shape[1] > 3
xrec_ema = self.to_rgb(xrec_ema)
log["samples_ema"] = self.decode(
torch.randn_like(posterior_ema.sample())
)
log["reconstructions_ema"] = xrec_ema
log["inputs"] = x
return log
def to_rgb(self, x):
assert self.image_key == "segmentation"
if not hasattr(self, "colorize"):
self.register_buffer("colorize", torch.randn(3, x.shape[1], 1, 1).to(x))
x = F.conv2d(x, weight=self.colorize)
x = 2.0 * (x - x.min()) / (x.max() - x.min()) - 1.0
return x
class IdentityFirstStage(torch.nn.Module):
def __init__(self, *args, vq_interface=False, **kwargs):
self.vq_interface = vq_interface
super().__init__()
def encode(self, x, *args, **kwargs):
return x
def decode(self, x, *args, **kwargs):
return x
def quantize(self, x, *args, **kwargs):
if self.vq_interface:
return x, None, [None, None, None]
return x
def forward(self, x, *args, **kwargs):
return x
+437
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"""SAMPLING ONLY."""
import torch
import numpy as np
from tqdm import tqdm
from functools import partial
import comfy.utils
from ...modules.diffusionmodules.util import (
make_ddim_sampling_parameters,
make_ddim_timesteps,
noise_like,
extract_into_tensor,
)
class DDIMSampler(object):
def __init__(self, model, schedule="linear", **kwargs):
super().__init__()
self.model = model
self.ddpm_num_timesteps = model.num_timesteps
self.schedule = schedule
def register_buffer(self, name, attr):
if type(attr) == torch.Tensor:
if attr.device != torch.device("cuda"):
attr = attr.to(torch.device("cuda"))
setattr(self, name, attr)
def make_schedule(
self, ddim_num_steps, ddim_discretize="uniform", ddim_eta=0.0, verbose=True
):
self.ddim_timesteps = make_ddim_timesteps(
ddim_discr_method=ddim_discretize,
num_ddim_timesteps=ddim_num_steps,
num_ddpm_timesteps=self.ddpm_num_timesteps,
verbose=verbose,
)
alphas_cumprod = self.model.alphas_cumprod
assert (
alphas_cumprod.shape[0] == self.ddpm_num_timesteps
), "alphas have to be defined for each timestep"
to_torch = lambda x: x.clone().detach().to(torch.float32).to(self.model.device)
self.register_buffer("betas", to_torch(self.model.betas))
self.register_buffer("alphas_cumprod", to_torch(alphas_cumprod))
self.register_buffer(
"alphas_cumprod_prev", to_torch(self.model.alphas_cumprod_prev)
)
# calculations for diffusion q(x_t | x_{t-1}) and others
self.register_buffer(
"sqrt_alphas_cumprod", to_torch(np.sqrt(alphas_cumprod.cpu()))
)
self.register_buffer(
"sqrt_one_minus_alphas_cumprod",
to_torch(np.sqrt(1.0 - alphas_cumprod.cpu())),
)
self.register_buffer(
"log_one_minus_alphas_cumprod", to_torch(np.log(1.0 - alphas_cumprod.cpu()))
)
self.register_buffer(
"sqrt_recip_alphas_cumprod", to_torch(np.sqrt(1.0 / alphas_cumprod.cpu()))
)
self.register_buffer(
"sqrt_recipm1_alphas_cumprod",
to_torch(np.sqrt(1.0 / alphas_cumprod.cpu() - 1)),
)
# ddim sampling parameters
ddim_sigmas, ddim_alphas, ddim_alphas_prev = make_ddim_sampling_parameters(
alphacums=alphas_cumprod.cpu(),
ddim_timesteps=self.ddim_timesteps,
eta=ddim_eta,
verbose=verbose,
)
self.register_buffer("ddim_sigmas", ddim_sigmas)
self.register_buffer("ddim_alphas", ddim_alphas)
self.register_buffer("ddim_alphas_prev", ddim_alphas_prev)
self.register_buffer("ddim_sqrt_one_minus_alphas", np.sqrt(1.0 - ddim_alphas))
sigmas_for_original_sampling_steps = ddim_eta * torch.sqrt(
(1 - self.alphas_cumprod_prev)
/ (1 - self.alphas_cumprod)
* (1 - self.alphas_cumprod / self.alphas_cumprod_prev)
)
self.register_buffer(
"ddim_sigmas_for_original_num_steps", sigmas_for_original_sampling_steps
)
@torch.no_grad()
def sample(
self,
S,
batch_size,
shape,
conditioning=None,
callback=None,
normals_sequence=None,
img_callback=None,
quantize_x0=False,
eta=0.0,
mask=None,
x0=None,
temperature=1.0,
noise_dropout=0.0,
score_corrector=None,
corrector_kwargs=None,
verbose=True,
x_T=None,
log_every_t=100,
unconditional_guidance_scale=1.0,
unconditional_conditioning=None,
# this has to come in the same format as the conditioning, # e.g. as encoded tokens, ...
**kwargs,
):
if conditioning is not None:
if isinstance(conditioning, dict):
cbs = conditioning[list(conditioning.keys())[0]].shape[0]
if cbs != batch_size:
print(
f"Warning: Got {cbs} conditionings but batch-size is {batch_size}"
)
else:
if conditioning.shape[0] != batch_size:
print(
f"Warning: Got {conditioning.shape[0]} conditionings but batch-size is {batch_size}"
)
self.make_schedule(ddim_num_steps=S, ddim_eta=eta, verbose=verbose)
# sampling
C, H, W = shape
size = (batch_size, C, H, W)
samples, intermediates = self.ddim_sampling(
conditioning,
size,
callback=callback,
img_callback=img_callback,
quantize_denoised=quantize_x0,
mask=mask,
x0=x0,
ddim_use_original_steps=False,
noise_dropout=noise_dropout,
temperature=temperature,
score_corrector=score_corrector,
corrector_kwargs=corrector_kwargs,
x_T=x_T,
log_every_t=log_every_t,
unconditional_guidance_scale=unconditional_guidance_scale,
unconditional_conditioning=unconditional_conditioning,
**kwargs,
)
return samples, intermediates
@torch.no_grad()
def ddim_sampling(
self,
cond,
shape,
x_T=None,
ddim_use_original_steps=False,
callback=None,
timesteps=None,
quantize_denoised=False,
mask=None,
x0=None,
img_callback=None,
log_every_t=100,
temperature=1.0,
noise_dropout=0.0,
score_corrector=None,
corrector_kwargs=None,
unconditional_guidance_scale=1.0,
unconditional_conditioning=None,
**kwargs,
):
"""
when inference time: all values of parameter
cond.keys(): dict_keys(['context', 'camera', 'num_frames', 'ip', 'ip_img'])
shape: (5, 4, 32, 32)
x_T: None
ddim_use_original_steps: False
timesteps: None
callback: None
quantize_denoised: False
mask: None
image_callback: None
log_every_t: 100
temperature: 1.0
noise_dropout: 0.0
score_corrector: None
corrector_kwargs: None
unconditional_guidance_scale: 5
unconditional_conditioning.keys(): dict_keys(['context', 'camera', 'num_frames', 'ip', 'ip_img'])
kwargs: {}
"""
device = self.model.betas.device
b = shape[0]
if x_T is None:
img = torch.randn(shape, device=device) # shape: torch.Size([5, 4, 32, 32]) mean: -0.00, std: 1.00, min: -3.64, max: 3.94
else:
img = x_T
if timesteps is None: # equal with set time step in hf
timesteps = (
self.ddpm_num_timesteps
if ddim_use_original_steps
else self.ddim_timesteps
)
elif timesteps is not None and not ddim_use_original_steps:
subset_end = (
int(
min(timesteps / self.ddim_timesteps.shape[0], 1)
* self.ddim_timesteps.shape[0]
)
- 1
)
timesteps = self.ddim_timesteps[:subset_end]
intermediates = {"x_inter": [img], "pred_x0": [img]}
time_range = ( # reversed timesteps
reversed(range(0, timesteps))
if ddim_use_original_steps
else np.flip(timesteps)
)
total_steps = timesteps if ddim_use_original_steps else timesteps.shape[0]
iterator = tqdm(time_range, desc="DDIM Sampler", total=total_steps)
comfy_pbar = comfy.utils.ProgressBar(total_steps)
for i, step in enumerate(iterator):
index = total_steps - i - 1
ts = torch.full((b,), step, device=device, dtype=torch.long)
if mask is not None:
assert x0 is not None
img_orig = self.model.q_sample(
x0, ts
) # TODO: deterministic forward pass?
img = img_orig * mask + (1.0 - mask) * img
outs = self.p_sample_ddim(
img,
cond,
ts,
index=index,
use_original_steps=ddim_use_original_steps,
quantize_denoised=quantize_denoised,
temperature=temperature,
noise_dropout=noise_dropout,
score_corrector=score_corrector,
corrector_kwargs=corrector_kwargs,
unconditional_guidance_scale=unconditional_guidance_scale,
unconditional_conditioning=unconditional_conditioning,
**kwargs,
)
img, pred_x0 = outs
if callback:
callback(i)
if img_callback:
img_callback(pred_x0, i)
if index % log_every_t == 0 or index == total_steps - 1:
intermediates["x_inter"].append(img)
intermediates["pred_x0"].append(pred_x0)
comfy_pbar.update_absolute(i + 1)
return img, intermediates
@torch.no_grad()
def p_sample_ddim(
self,
x,
c,
t,
index,
repeat_noise=False,
use_original_steps=False,
quantize_denoised=False,
temperature=1.0,
noise_dropout=0.0,
score_corrector=None,
corrector_kwargs=None,
unconditional_guidance_scale=1.0,
unconditional_conditioning=None,
dynamic_threshold=None,
**kwargs,
):
b, *_, device = *x.shape, x.device
if unconditional_conditioning is None or unconditional_guidance_scale == 1.0:
model_output = self.model.apply_model(x, t, c)
else:
x_in = torch.cat([x] * 2)
t_in = torch.cat([t] * 2)
if isinstance(c, dict):
assert isinstance(unconditional_conditioning, dict)
c_in = dict()
for k in c:
if isinstance(c[k], list):
c_in[k] = [
torch.cat([unconditional_conditioning[k][i], c[k][i]])
for i in range(len(c[k]))
]
elif isinstance(c[k], torch.Tensor):
c_in[k] = torch.cat([unconditional_conditioning[k], c[k]])
else:
assert c[k] == unconditional_conditioning[k]
c_in[k] = c[k]
elif isinstance(c, list):
c_in = list()
assert isinstance(unconditional_conditioning, list)
for i in range(len(c)):
c_in.append(torch.cat([unconditional_conditioning[i], c[i]]))
else:
c_in = torch.cat([unconditional_conditioning, c])
model_uncond, model_t = self.model.apply_model(x_in, t_in, c_in).chunk(2)
model_output = model_uncond + unconditional_guidance_scale * (
model_t - model_uncond
)
if self.model.parameterization == "v":
print("using v!")
e_t = self.model.predict_eps_from_z_and_v(x, t, model_output)
else:
e_t = model_output
if score_corrector is not None:
assert self.model.parameterization == "eps", "not implemented"
e_t = score_corrector.modify_score(
self.model, e_t, x, t, c, **corrector_kwargs
)
alphas = self.model.alphas_cumprod if use_original_steps else self.ddim_alphas
alphas_prev = (
self.model.alphas_cumprod_prev
if use_original_steps
else self.ddim_alphas_prev
)
sqrt_one_minus_alphas = (
self.model.sqrt_one_minus_alphas_cumprod
if use_original_steps
else self.ddim_sqrt_one_minus_alphas
)
sigmas = (
self.model.ddim_sigmas_for_original_num_steps
if use_original_steps
else self.ddim_sigmas
)
# select parameters corresponding to the currently considered timestep
a_t = torch.full((b, 1, 1, 1), alphas[index], device=device)
a_prev = torch.full((b, 1, 1, 1), alphas_prev[index], device=device)
sigma_t = torch.full((b, 1, 1, 1), sigmas[index], device=device)
sqrt_one_minus_at = torch.full(
(b, 1, 1, 1), sqrt_one_minus_alphas[index], device=device
)
# current prediction for x_0
if self.model.parameterization != "v":
pred_x0 = (x - sqrt_one_minus_at * e_t) / a_t.sqrt()
else:
pred_x0 = self.model.predict_start_from_z_and_v(x, t, model_output)
if quantize_denoised:
pred_x0, _, *_ = self.model.first_stage_model.quantize(pred_x0)
if dynamic_threshold is not None:
raise NotImplementedError()
# direction pointing to x_t
dir_xt = (1.0 - a_prev - sigma_t**2).sqrt() * e_t
noise = sigma_t * noise_like(x.shape, device, repeat_noise) * temperature
if noise_dropout > 0.0:
noise = torch.nn.functional.dropout(noise, p=noise_dropout)
x_prev = a_prev.sqrt() * pred_x0 + dir_xt + noise
return x_prev, pred_x0
@torch.no_grad()
def stochastic_encode(self, x0, t, use_original_steps=False, noise=None):
# fast, but does not allow for exact reconstruction
# t serves as an index to gather the correct alphas
if use_original_steps:
sqrt_alphas_cumprod = self.sqrt_alphas_cumprod
sqrt_one_minus_alphas_cumprod = self.sqrt_one_minus_alphas_cumprod
else:
sqrt_alphas_cumprod = torch.sqrt(self.ddim_alphas)
sqrt_one_minus_alphas_cumprod = self.ddim_sqrt_one_minus_alphas
if noise is None:
noise = torch.randn_like(x0)
return (
extract_into_tensor(sqrt_alphas_cumprod, t, x0.shape) * x0
+ extract_into_tensor(sqrt_one_minus_alphas_cumprod, t, x0.shape) * noise
)
@torch.no_grad()
def decode(
self,
x_latent,
cond,
t_start,
unconditional_guidance_scale=1.0,
unconditional_conditioning=None,
use_original_steps=False,
**kwargs,
):
timesteps = (
np.arange(self.ddpm_num_timesteps)
if use_original_steps
else self.ddim_timesteps
)
timesteps = timesteps[:t_start]
time_range = np.flip(timesteps)
total_steps = timesteps.shape[0]
iterator = tqdm(time_range, desc="Decoding image", total=total_steps)
x_dec = x_latent
for i, step in enumerate(iterator):
index = total_steps - i - 1
ts = torch.full(
(x_latent.shape[0],), step, device=x_latent.device, dtype=torch.long
)
x_dec, _ = self.p_sample_ddim(
x_dec,
cond,
ts,
index=index,
use_original_steps=use_original_steps,
unconditional_guidance_scale=unconditional_guidance_scale,
unconditional_conditioning=unconditional_conditioning,
**kwargs,
)
return x_dec
+456
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@@ -0,0 +1,456 @@
from inspect import isfunction
import math
import torch
import torch.nn.functional as F
from torch import nn, einsum
from einops import rearrange, repeat
from typing import Optional, Any
from .diffusionmodules.util import checkpoint
try:
import xformers
import xformers.ops
XFORMERS_IS_AVAILBLE = True
except:
XFORMERS_IS_AVAILBLE = False
# CrossAttn precision handling
import os
_ATTN_PRECISION = os.environ.get("ATTN_PRECISION", "fp32")
def exists(val):
return val is not None
def uniq(arr):
return {el: True for el in arr}.keys()
def default(val, d):
if exists(val):
return val
return d() if isfunction(d) else d
def max_neg_value(t):
return -torch.finfo(t.dtype).max
def init_(tensor):
dim = tensor.shape[-1]
std = 1 / math.sqrt(dim)
tensor.uniform_(-std, std)
return tensor
# feedforward
class GEGLU(nn.Module):
def __init__(self, dim_in, dim_out):
super().__init__()
self.proj = nn.Linear(dim_in, dim_out * 2)
def forward(self, x):
x, gate = self.proj(x).chunk(2, dim=-1)
return x * F.gelu(gate)
class FeedForward(nn.Module):
def __init__(self, dim, dim_out=None, mult=4, glu=False, dropout=0.0):
super().__init__()
inner_dim = int(dim * mult)
dim_out = default(dim_out, dim)
project_in = (
nn.Sequential(nn.Linear(dim, inner_dim), nn.GELU())
if not glu
else GEGLU(dim, inner_dim)
)
self.net = nn.Sequential(
project_in, nn.Dropout(dropout), nn.Linear(inner_dim, dim_out)
)
def forward(self, x):
return self.net(x)
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 Normalize(in_channels):
return torch.nn.GroupNorm(
num_groups=32, num_channels=in_channels, eps=1e-6, affine=True
)
class SpatialSelfAttention(nn.Module):
def __init__(self, in_channels):
super().__init__()
self.in_channels = in_channels
self.norm = Normalize(in_channels)
self.q = torch.nn.Conv2d(
in_channels, in_channels, kernel_size=1, stride=1, padding=0
)
self.k = torch.nn.Conv2d(
in_channels, in_channels, kernel_size=1, stride=1, padding=0
)
self.v = torch.nn.Conv2d(
in_channels, in_channels, kernel_size=1, stride=1, padding=0
)
self.proj_out = torch.nn.Conv2d(
in_channels, in_channels, kernel_size=1, stride=1, padding=0
)
def forward(self, x):
h_ = x
h_ = self.norm(h_)
q = self.q(h_)
k = self.k(h_)
v = self.v(h_)
# compute attention
b, c, h, w = q.shape
q = rearrange(q, "b c h w -> b (h w) c")
k = rearrange(k, "b c h w -> b c (h w)")
w_ = torch.einsum("bij,bjk->bik", q, k)
w_ = w_ * (int(c) ** (-0.5))
w_ = torch.nn.functional.softmax(w_, dim=2)
# attend to values
v = rearrange(v, "b c h w -> b c (h w)")
w_ = rearrange(w_, "b i j -> b j i")
h_ = torch.einsum("bij,bjk->bik", v, w_)
h_ = rearrange(h_, "b c (h w) -> b c h w", h=h)
h_ = self.proj_out(h_)
return x + h_
class MemoryEfficientCrossAttention(nn.Module):
# https://github.com/MatthieuTPHR/diffusers/blob/d80b531ff8060ec1ea982b65a1b8df70f73aa67c/src/diffusers/models/attention.py#L223
def __init__(self, query_dim, context_dim=None, heads=8, dim_head=64, dropout=0.0, **kwargs):
super().__init__()
print(
f"Setting up {self.__class__.__name__}. Query dim is {query_dim}, context_dim is {context_dim} and using "
f"{heads} heads."
)
inner_dim = dim_head * heads
context_dim = default(context_dim, query_dim)
self.heads = heads
self.dim_head = dim_head
self.with_ip = kwargs.get("with_ip", False)
if self.with_ip and (context_dim is not None):
self.to_k_ip = nn.Linear(context_dim, inner_dim, bias=False)
self.to_v_ip = nn.Linear(context_dim, inner_dim, bias=False)
self.ip_dim= kwargs.get("ip_dim", 16)
self.ip_weight = kwargs.get("ip_weight", 1.0)
self.to_q = nn.Linear(query_dim, inner_dim, bias=False)
self.to_k = nn.Linear(context_dim, inner_dim, bias=False)
self.to_v = nn.Linear(context_dim, inner_dim, bias=False)
self.to_out = nn.Sequential(
nn.Linear(inner_dim, query_dim), nn.Dropout(dropout)
)
self.attention_op: Optional[Any] = None
def forward(self, x, context=None, mask=None):
q = self.to_q(x)
has_ip = self.with_ip and (context is not None)
if has_ip:
# context dim [(b frame_num), (77 + img_token), 1024]
token_len = context.shape[1]
context_ip = context[:, -self.ip_dim:, :]
k_ip = self.to_k_ip(context_ip)
v_ip = self.to_v_ip(context_ip)
context = context[:, :(token_len - self.ip_dim), :]
context = default(context, x)
k = self.to_k(context)
v = self.to_v(context)
b, _, _ = q.shape
q, k, v = map(
lambda t: t.unsqueeze(3)
.reshape(b, t.shape[1], self.heads, self.dim_head)
.permute(0, 2, 1, 3)
.reshape(b * self.heads, t.shape[1], self.dim_head)
.contiguous(),
(q, k, v),
)
# actually compute the attention, what we cannot get enough of
out = xformers.ops.memory_efficient_attention(
q, k, v, attn_bias=None, op=self.attention_op
)
if has_ip:
k_ip, v_ip = map(
lambda t: t.unsqueeze(3)
.reshape(b, t.shape[1], self.heads, self.dim_head)
.permute(0, 2, 1, 3)
.reshape(b * self.heads, t.shape[1], self.dim_head)
.contiguous(),
(k_ip, v_ip),
)
# actually compute the attention, what we cannot get enough of
out_ip = xformers.ops.memory_efficient_attention(
q, k_ip, v_ip, attn_bias=None, op=self.attention_op
)
out = out + self.ip_weight * out_ip
if exists(mask):
raise NotImplementedError
out = (
out.unsqueeze(0)
.reshape(b, self.heads, out.shape[1], self.dim_head)
.permute(0, 2, 1, 3)
.reshape(b, out.shape[1], self.heads * self.dim_head)
)
return self.to_out(out)
class BasicTransformerBlock(nn.Module):
def __init__(
self,
dim,
n_heads,
d_head,
dropout=0.0,
context_dim=None,
gated_ff=True,
checkpoint=True,
disable_self_attn=False,
**kwargs
):
super().__init__()
assert XFORMERS_IS_AVAILBLE, "xformers is not available"
attn_cls = MemoryEfficientCrossAttention
self.disable_self_attn = disable_self_attn
self.attn1 = attn_cls(
query_dim=dim,
heads=n_heads,
dim_head=d_head,
dropout=dropout,
context_dim=context_dim if self.disable_self_attn else None,
) # is a self-attention if not self.disable_self_attn
self.ff = FeedForward(dim, dropout=dropout, glu=gated_ff)
self.attn2 = attn_cls(
query_dim=dim,
context_dim=context_dim,
heads=n_heads,
dim_head=d_head,
dropout=dropout,
**kwargs
) # is self-attn if context is none
self.norm1 = nn.LayerNorm(dim)
self.norm2 = nn.LayerNorm(dim)
self.norm3 = nn.LayerNorm(dim)
self.checkpoint = checkpoint
def forward(self, x, context=None):
return checkpoint(
self._forward, (x, context), self.parameters(), self.checkpoint
)
def _forward(self, x, context=None):
x = (
self.attn1(
self.norm1(x), context=context if self.disable_self_attn else None
)
+ x
)
x = self.attn2(self.norm2(x), context=context) + x
x = self.ff(self.norm3(x)) + x
return x
class SpatialTransformer(nn.Module):
"""
Transformer block for image-like data.
First, project the input (aka embedding)
and reshape to b, t, d.
Then apply standard transformer action.
Finally, reshape to image
NEW: use_linear for more efficiency instead of the 1x1 convs
"""
def __init__(
self,
in_channels,
n_heads,
d_head,
depth=1,
dropout=0.0,
context_dim=None,
disable_self_attn=False,
use_linear=False,
use_checkpoint=True,
**kwargs
):
super().__init__()
if exists(context_dim) and not isinstance(context_dim, list):
context_dim = [context_dim]
self.in_channels = in_channels
inner_dim = n_heads * d_head
self.norm = Normalize(in_channels)
if not use_linear:
self.proj_in = nn.Conv2d(
in_channels, inner_dim, kernel_size=1, stride=1, padding=0
)
else:
self.proj_in = nn.Linear(in_channels, inner_dim)
self.transformer_blocks = nn.ModuleList(
[
BasicTransformerBlock(
inner_dim,
n_heads,
d_head,
dropout=dropout,
context_dim=context_dim[d],
disable_self_attn=disable_self_attn,
checkpoint=use_checkpoint,
**kwargs
)
for d in range(depth)
]
)
if not use_linear:
self.proj_out = zero_module(
nn.Conv2d(inner_dim, in_channels, kernel_size=1, stride=1, padding=0)
)
else:
self.proj_out = zero_module(nn.Linear(in_channels, inner_dim))
self.use_linear = use_linear
def forward(self, x, context=None):
# note: if no context is given, cross-attention defaults to self-attention
if not isinstance(context, list):
context = [context]
b, c, h, w = x.shape
x_in = x
x = self.norm(x)
if not self.use_linear:
x = self.proj_in(x)
x = rearrange(x, "b c h w -> b (h w) c").contiguous()
if self.use_linear:
x = self.proj_in(x)
for i, block in enumerate(self.transformer_blocks):
x = block(x, context=context[i])
if self.use_linear:
x = self.proj_out(x)
x = rearrange(x, "b (h w) c -> b c h w", h=h, w=w).contiguous()
if not self.use_linear:
x = self.proj_out(x)
return x + x_in
class BasicTransformerBlock3D(BasicTransformerBlock):
def forward(self, x, context=None, num_frames=1):
return checkpoint(
self._forward, (x, context, num_frames), self.parameters(), self.checkpoint
)
def _forward(self, x, context=None, num_frames=1):
x = rearrange(x, "(b f) l c -> b (f l) c", f=num_frames).contiguous()
x = (
self.attn1(
self.norm1(x),
context=context if self.disable_self_attn else None
)
+ x
)
x = rearrange(x, "b (f l) c -> (b f) l c", f=num_frames).contiguous()
x = self.attn2(self.norm2(x), context=context) + x
x = self.ff(self.norm3(x)) + x
return x
class SpatialTransformer3D(nn.Module):
"""3D self-attention"""
def __init__(
self,
in_channels,
n_heads,
d_head,
depth=1,
dropout=0.0,
context_dim=None,
disable_self_attn=False,
use_linear=False,
use_checkpoint=True,
**kwargs
):
super().__init__()
if exists(context_dim) and not isinstance(context_dim, list):
context_dim = [context_dim]
self.in_channels = in_channels
inner_dim = n_heads * d_head
self.norm = Normalize(in_channels)
if not use_linear:
self.proj_in = nn.Conv2d(
in_channels, inner_dim, kernel_size=1, stride=1, padding=0
)
else:
self.proj_in = nn.Linear(in_channels, inner_dim)
self.transformer_blocks = nn.ModuleList(
[
BasicTransformerBlock3D(
inner_dim,
n_heads,
d_head,
dropout=dropout,
context_dim=context_dim[d],
disable_self_attn=disable_self_attn,
checkpoint=use_checkpoint,
**kwargs
)
for d in range(depth)
]
)
if not use_linear:
self.proj_out = zero_module(
nn.Conv2d(inner_dim, in_channels, kernel_size=1, stride=1, padding=0)
)
else:
self.proj_out = zero_module(nn.Linear(in_channels, inner_dim))
self.use_linear = use_linear
def forward(self, x, context=None, num_frames=1):
# note: if no context is given, cross-attention defaults to self-attention
if not isinstance(context, list):
context = [context]
b, c, h, w = x.shape
x_in = x
x = self.norm(x)
if not self.use_linear:
x = self.proj_in(x)
x = rearrange(x, "b c h w -> b (h w) c").contiguous()
if self.use_linear:
x = self.proj_in(x)
for i, block in enumerate(self.transformer_blocks):
x = block(x, context=context[i], num_frames=num_frames)
if self.use_linear:
x = self.proj_out(x)
x = rearrange(x, "b (h w) c -> b c h w", h=h, w=w).contiguous()
if not self.use_linear:
x = self.proj_out(x)
return x + x_in
@@ -0,0 +1,163 @@
# modified from https://github.com/mlfoundations/open_flamingo/blob/main/open_flamingo/src/helpers.py
import math
import torch
import torch.nn as nn
# FFN
def FeedForward(dim, mult=4):
inner_dim = int(dim * mult)
return nn.Sequential(
nn.LayerNorm(dim),
nn.Linear(dim, inner_dim, bias=False),
nn.GELU(),
nn.Linear(inner_dim, dim, bias=False),
)
def reshape_tensor(x, heads):
bs, length, width = x.shape
#(bs, length, width) --> (bs, length, n_heads, dim_per_head)
x = x.view(bs, length, heads, -1)
# (bs, length, n_heads, dim_per_head) --> (bs, n_heads, length, dim_per_head)
x = x.transpose(1, 2)
# (bs, n_heads, length, dim_per_head) --> (bs*n_heads, length, dim_per_head)
x = x.reshape(bs, heads, length, -1)
return x
class PerceiverAttention(nn.Module):
def __init__(self, *, dim, dim_head=64, heads=8):
super().__init__()
self.scale = dim_head**-0.5
self.dim_head = dim_head
self.heads = heads
inner_dim = dim_head * heads
self.norm1 = nn.LayerNorm(dim)
self.norm2 = nn.LayerNorm(dim)
self.to_q = nn.Linear(dim, inner_dim, bias=False)
self.to_kv = nn.Linear(dim, inner_dim * 2, bias=False)
self.to_out = nn.Linear(inner_dim, dim, bias=False)
def forward(self, x, latents):
"""
Args:
x (torch.Tensor): image features
shape (b, n1, D)
latent (torch.Tensor): latent features
shape (b, n2, D)
"""
x = self.norm1(x)
latents = self.norm2(latents)
b, l, _ = latents.shape
q = self.to_q(latents)
kv_input = torch.cat((x, latents), dim=-2)
k, v = self.to_kv(kv_input).chunk(2, dim=-1)
q = reshape_tensor(q, self.heads)
k = reshape_tensor(k, self.heads)
v = reshape_tensor(v, self.heads)
# attention
scale = 1 / math.sqrt(math.sqrt(self.dim_head))
weight = (q * scale) @ (k * scale).transpose(-2, -1) # More stable with f16 than dividing afterwards
weight = torch.softmax(weight.float(), dim=-1).type(weight.dtype)
out = weight @ v
out = out.permute(0, 2, 1, 3).reshape(b, l, -1)
return self.to_out(out)
class ImageProjModel(torch.nn.Module):
"""Projection Model"""
def __init__(self,
cross_attention_dim=1024,
clip_embeddings_dim=1024,
clip_extra_context_tokens=4):
super().__init__()
self.cross_attention_dim = cross_attention_dim
self.clip_extra_context_tokens = clip_extra_context_tokens
# from 1024 -> 4 * 1024
self.proj = torch.nn.Linear(
clip_embeddings_dim,
self.clip_extra_context_tokens * cross_attention_dim)
self.norm = torch.nn.LayerNorm(cross_attention_dim)
def forward(self, image_embeds):
embeds = image_embeds
clip_extra_context_tokens = self.proj(embeds).reshape(-1, self.clip_extra_context_tokens, self.cross_attention_dim)
clip_extra_context_tokens = self.norm(clip_extra_context_tokens)
return clip_extra_context_tokens
class SimpleReSampler(nn.Module):
def __init__(self, embedding_dim=1280, output_dim=1024):
super().__init__()
self.proj_out = nn.Linear(embedding_dim, output_dim)
self.norm_out = nn.LayerNorm(output_dim)
def forward(self, latents):
"""
latents: B 256 N
"""
latents = self.proj_out(latents)
return self.norm_out(latents)
class Resampler(nn.Module):
def __init__(
self,
dim=1024,
depth=8,
dim_head=64,
heads=16,
num_queries=8,
embedding_dim=768,
output_dim=1024,
ff_mult=4,
):
super().__init__()
self.latents = nn.Parameter(torch.randn(1, num_queries, dim) / dim**0.5)
self.proj_in = nn.Linear(embedding_dim, dim)
self.proj_out = nn.Linear(dim, output_dim)
self.norm_out = nn.LayerNorm(output_dim)
self.layers = nn.ModuleList([])
for _ in range(depth):
self.layers.append(
nn.ModuleList(
[
PerceiverAttention(dim=dim,
dim_head=dim_head,
heads=heads),
FeedForward(dim=dim, mult=ff_mult),
]
)
)
def forward(self, x):
latents = self.latents.repeat(x.size(0), 1, 1)
x = self.proj_in(x)
for attn, ff in self.layers:
latents = attn(x, latents) + latents
latents = ff(latents) + latents
latents = self.proj_out(latents)
return self.norm_out(latents)
if __name__ == '__main__':
resampler = Resampler(embedding_dim=1280)
resampler = SimpleReSampler(embedding_dim=1280)
tensor = torch.rand(4, 257, 1280)
embed = resampler(tensor)
# embed = (tensor)
print(embed.shape)
File diff suppressed because it is too large Load Diff
File diff suppressed because it is too large Load Diff
@@ -0,0 +1,353 @@
# adopted from
# https://github.com/openai/improved-diffusion/blob/main/improved_diffusion/gaussian_diffusion.py
# and
# https://github.com/lucidrains/denoising-diffusion-pytorch/blob/7706bdfc6f527f58d33f84b7b522e61e6e3164b3/denoising_diffusion_pytorch/denoising_diffusion_pytorch.py
# and
# https://github.com/openai/guided-diffusion/blob/0ba878e517b276c45d1195eb29f6f5f72659a05b/guided_diffusion/nn.py
#
# thanks!
import os
import math
import torch
import torch.nn as nn
import numpy as np
from einops import repeat
import importlib
def instantiate_from_config(config):
if not "target" in config:
if config == "__is_first_stage__":
return None
elif config == "__is_unconditional__":
return None
raise KeyError("Expected key `target` to instantiate.")
return get_obj_from_str(config["target"])(**config.get("params", dict()))
def get_obj_from_str(string, reload=False):
module, cls = string.rsplit(".", 1)
if reload:
module_imp = importlib.import_module(module)
importlib.reload(module_imp)
return getattr(importlib.import_module(module, package=None), cls)
def make_beta_schedule(
schedule, n_timestep, linear_start=1e-4, linear_end=2e-2, cosine_s=8e-3
):
if schedule == "linear":
betas = (
torch.linspace(
linear_start**0.5, linear_end**0.5, n_timestep, dtype=torch.float64
)
** 2
)
elif schedule == "cosine":
timesteps = (
torch.arange(n_timestep + 1, dtype=torch.float64) / n_timestep + cosine_s
)
alphas = timesteps / (1 + cosine_s) * np.pi / 2
alphas = torch.cos(alphas).pow(2)
alphas = alphas / alphas[0]
betas = 1 - alphas[1:] / alphas[:-1]
betas = np.clip(betas, a_min=0, a_max=0.999)
elif schedule == "sqrt_linear":
betas = torch.linspace(
linear_start, linear_end, n_timestep, dtype=torch.float64
)
elif schedule == "sqrt":
betas = (
torch.linspace(linear_start, linear_end, n_timestep, dtype=torch.float64)
** 0.5
)
else:
raise ValueError(f"schedule '{schedule}' unknown.")
return betas.numpy()
def enforce_zero_terminal_snr(betas):
betas = torch.tensor(betas) if not isinstance(betas, torch.Tensor) else betas
# Convert betas to alphas_bar_sqrt
alphas =1 - betas
alphas_bar = alphas.cumprod(0)
alphas_bar_sqrt = alphas_bar.sqrt()
# Store old values.
alphas_bar_sqrt_0 = alphas_bar_sqrt[0].clone()
alphas_bar_sqrt_T = alphas_bar_sqrt[-1].clone()
# Shift so last timestep is zero.
alphas_bar_sqrt -= alphas_bar_sqrt_T
# Scale so first timestep is back to old value.
alphas_bar_sqrt *= alphas_bar_sqrt_0 / (alphas_bar_sqrt_0 - alphas_bar_sqrt_T)
# Convert alphas_bar_sqrt to betas
alphas_bar = alphas_bar_sqrt ** 2
alphas = alphas_bar[1:] / alphas_bar[:-1]
alphas = torch.cat ([alphas_bar[0:1], alphas])
betas = 1 - alphas
return betas
def make_ddim_timesteps(
ddim_discr_method, num_ddim_timesteps, num_ddpm_timesteps, verbose=True
):
if ddim_discr_method == "uniform":
c = num_ddpm_timesteps // num_ddim_timesteps
ddim_timesteps = np.asarray(list(range(0, num_ddpm_timesteps, c)))
elif ddim_discr_method == "quad":
ddim_timesteps = (
(np.linspace(0, np.sqrt(num_ddpm_timesteps * 0.8), num_ddim_timesteps)) ** 2
).astype(int)
else:
raise NotImplementedError(
f'There is no ddim discretization method called "{ddim_discr_method}"'
)
# assert ddim_timesteps.shape[0] == num_ddim_timesteps
# add one to get the final alpha values right (the ones from first scale to data during sampling)
steps_out = ddim_timesteps + 1
if verbose:
print(f"Selected timesteps for ddim sampler: {steps_out}")
return steps_out
def make_ddim_sampling_parameters(alphacums, ddim_timesteps, eta, verbose=True):
# select alphas for computing the variance schedule
alphas = alphacums[ddim_timesteps]
alphas_prev = np.asarray([alphacums[0]] + alphacums[ddim_timesteps[:-1]].tolist())
# according the the formula provided in https://arxiv.org/abs/2010.02502
sigmas = eta * np.sqrt(
(1 - alphas_prev) / (1 - alphas) * (1 - alphas / alphas_prev)
)
if verbose:
print(
f"Selected alphas for ddim sampler: a_t: {alphas}; a_(t-1): {alphas_prev}"
)
print(
f"For the chosen value of eta, which is {eta}, "
f"this results in the following sigma_t schedule for ddim sampler {sigmas}"
)
return sigmas, alphas, alphas_prev
def betas_for_alpha_bar(num_diffusion_timesteps, alpha_bar, max_beta=0.999):
"""
Create a beta schedule that discretizes the given alpha_t_bar function,
which defines the cumulative product of (1-beta) over time from t = [0,1].
:param num_diffusion_timesteps: the number of betas to produce.
:param alpha_bar: a lambda that takes an argument t from 0 to 1 and
produces the cumulative product of (1-beta) up to that
part of the diffusion process.
:param max_beta: the maximum beta to use; use values lower than 1 to
prevent singularities.
"""
betas = []
for i in range(num_diffusion_timesteps):
t1 = i / num_diffusion_timesteps
t2 = (i + 1) / num_diffusion_timesteps
betas.append(min(1 - alpha_bar(t2) / alpha_bar(t1), max_beta))
return np.array(betas)
def extract_into_tensor(a, t, x_shape):
b, *_ = t.shape
out = a.gather(-1, t)
return out.reshape(b, *((1,) * (len(x_shape) - 1)))
def checkpoint(func, inputs, params, flag):
"""
Evaluate a function without caching intermediate activations, allowing for
reduced memory at the expense of extra compute in the backward pass.
:param func: the function to evaluate.
:param inputs: the argument sequence to pass to `func`.
:param params: a sequence of parameters `func` depends on but does not
explicitly take as arguments.
:param flag: if False, disable gradient checkpointing.
"""
if flag:
args = tuple(inputs) + tuple(params)
return CheckpointFunction.apply(func, len(inputs), *args)
else:
return func(*inputs)
class CheckpointFunction(torch.autograd.Function):
@staticmethod
def forward(ctx, run_function, length, *args):
ctx.run_function = run_function
ctx.input_tensors = list(args[:length])
ctx.input_params = list(args[length:])
with torch.no_grad():
output_tensors = ctx.run_function(*ctx.input_tensors)
return output_tensors
@staticmethod
def backward(ctx, *output_grads):
ctx.input_tensors = [x.detach().requires_grad_(True) for x in ctx.input_tensors]
with torch.enable_grad():
# Fixes a bug where the first op in run_function modifies the
# Tensor storage in place, which is not allowed for detach()'d
# Tensors.
shallow_copies = [x.view_as(x) for x in ctx.input_tensors]
output_tensors = ctx.run_function(*shallow_copies)
input_grads = torch.autograd.grad(
output_tensors,
ctx.input_tensors + ctx.input_params,
output_grads,
allow_unused=True,
)
del ctx.input_tensors
del ctx.input_params
del output_tensors
return (None, None) + input_grads
def timestep_embedding(timesteps, dim, max_period=10000, repeat_only=False):
"""
Create sinusoidal timestep embeddings.
:param timesteps: a 1-D Tensor of N indices, one per batch element.
These may be fractional.
:param dim: the dimension of the output.
:param max_period: controls the minimum frequency of the embeddings.
:return: an [N x dim] Tensor of positional embeddings.
"""
if not repeat_only:
half = dim // 2
freqs = torch.exp(
-math.log(max_period)
* torch.arange(start=0, end=half, dtype=torch.float32)
/ half
).to(device=timesteps.device)
args = timesteps[:, 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
)
else:
embedding = repeat(timesteps, "b -> b d", d=dim)
# import pdb; pdb.set_trace()
return embedding
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 mean_flat(tensor):
"""
Take the mean over all non-batch dimensions.
"""
return tensor.mean(dim=list(range(1, len(tensor.shape))))
def normalization(channels):
"""
Make a standard normalization layer.
:param channels: number of input channels.
:return: an nn.Module for normalization.
"""
return GroupNorm32(32, channels)
# PyTorch 1.7 has SiLU, but we support PyTorch 1.5.
class SiLU(nn.Module):
def forward(self, x):
return x * torch.sigmoid(x)
class GroupNorm32(nn.GroupNorm):
def forward(self, x):
return super().forward(x.float()).type(x.dtype)
def conv_nd(dims, *args, **kwargs):
"""
Create a 1D, 2D, or 3D convolution module.
"""
if dims == 1:
return nn.Conv1d(*args, **kwargs)
elif dims == 2:
return nn.Conv2d(*args, **kwargs)
elif dims == 3:
return nn.Conv3d(*args, **kwargs)
raise ValueError(f"unsupported dimensions: {dims}")
def linear(*args, **kwargs):
"""
Create a linear module.
"""
return nn.Linear(*args, **kwargs)
def avg_pool_nd(dims, *args, **kwargs):
"""
Create a 1D, 2D, or 3D average pooling module.
"""
if dims == 1:
return nn.AvgPool1d(*args, **kwargs)
elif dims == 2:
return nn.AvgPool2d(*args, **kwargs)
elif dims == 3:
return nn.AvgPool3d(*args, **kwargs)
raise ValueError(f"unsupported dimensions: {dims}")
class HybridConditioner(nn.Module):
def __init__(self, c_concat_config, c_crossattn_config):
super().__init__()
self.concat_conditioner = instantiate_from_config(c_concat_config)
self.crossattn_conditioner = instantiate_from_config(c_crossattn_config)
def forward(self, c_concat, c_crossattn):
c_concat = self.concat_conditioner(c_concat)
c_crossattn = self.crossattn_conditioner(c_crossattn)
return {"c_concat": [c_concat], "c_crossattn": [c_crossattn]}
def noise_like(shape, device, repeat=False):
repeat_noise = lambda: torch.randn((1, *shape[1:]), device=device).repeat(
shape[0], *((1,) * (len(shape) - 1))
)
noise = lambda: torch.randn(shape, device=device)
return repeat_noise() if repeat else noise()
# dummy replace
def convert_module_to_f16(l):
"""
Convert primitive modules to float16.
"""
if isinstance(l, (nn.Conv1d, nn.Conv2d, nn.Conv3d)):
l.weight.data = l.weight.data.half()
if l.bias is not None:
l.bias.data = l.bias.data.half()
def convert_module_to_f32(l):
"""
Convert primitive modules to float32, undoing convert_module_to_f16().
"""
if isinstance(l, (nn.Conv1d, nn.Conv2d, nn.Conv3d)):
l.weight.data = l.weight.data.float()
if l.bias is not None:
l.bias.data = l.bias.data.float()
@@ -0,0 +1,102 @@
import torch
import numpy as np
class AbstractDistribution:
def sample(self):
raise NotImplementedError()
def mode(self):
raise NotImplementedError()
class DiracDistribution(AbstractDistribution):
def __init__(self, value):
self.value = value
def sample(self):
return self.value
def mode(self):
return self.value
class DiagonalGaussianDistribution(object):
def __init__(self, parameters, deterministic=False):
self.parameters = parameters
self.mean, self.logvar = torch.chunk(parameters, 2, dim=1)
self.logvar = torch.clamp(self.logvar, -30.0, 20.0)
self.deterministic = deterministic
self.std = torch.exp(0.5 * self.logvar)
self.var = torch.exp(self.logvar)
if self.deterministic:
self.var = self.std = torch.zeros_like(self.mean).to(
device=self.parameters.device
)
def sample(self):
x = self.mean + self.std * torch.randn(self.mean.shape).to(
device=self.parameters.device
)
return x
def kl(self, other=None):
if self.deterministic:
return torch.Tensor([0.0])
else:
if other is None:
return 0.5 * torch.sum(
torch.pow(self.mean, 2) + self.var - 1.0 - self.logvar,
dim=[1, 2, 3],
)
else:
return 0.5 * torch.sum(
torch.pow(self.mean - other.mean, 2) / other.var
+ self.var / other.var
- 1.0
- self.logvar
+ other.logvar,
dim=[1, 2, 3],
)
def nll(self, sample, dims=[1, 2, 3]):
if self.deterministic:
return torch.Tensor([0.0])
logtwopi = np.log(2.0 * np.pi)
return 0.5 * torch.sum(
logtwopi + self.logvar + torch.pow(sample - self.mean, 2) / self.var,
dim=dims,
)
def mode(self):
return self.mean
def normal_kl(mean1, logvar1, mean2, logvar2):
"""
source: https://github.com/openai/guided-diffusion/blob/27c20a8fab9cb472df5d6bdd6c8d11c8f430b924/guided_diffusion/losses.py#L12
Compute the KL divergence between two gaussians.
Shapes are automatically broadcasted, so batches can be compared to
scalars, among other use cases.
"""
tensor = None
for obj in (mean1, logvar1, mean2, logvar2):
if isinstance(obj, torch.Tensor):
tensor = obj
break
assert tensor is not None, "at least one argument must be a Tensor"
# Force variances to be Tensors. Broadcasting helps convert scalars to
# Tensors, but it does not work for torch.exp().
logvar1, logvar2 = [
x if isinstance(x, torch.Tensor) else torch.tensor(x).to(tensor)
for x in (logvar1, logvar2)
]
return 0.5 * (
-1.0
+ logvar2
- logvar1
+ torch.exp(logvar1 - logvar2)
+ ((mean1 - mean2) ** 2) * torch.exp(-logvar2)
)
+86
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@@ -0,0 +1,86 @@
import torch
from torch import nn
class LitEma(nn.Module):
def __init__(self, model, decay=0.9999, use_num_upates=True):
super().__init__()
if decay < 0.0 or decay > 1.0:
raise ValueError("Decay must be between 0 and 1")
self.m_name2s_name = {}
self.register_buffer("decay", torch.tensor(decay, dtype=torch.float32))
self.register_buffer(
"num_updates",
torch.tensor(0, dtype=torch.int)
if use_num_upates
else torch.tensor(-1, dtype=torch.int),
)
for name, p in model.named_parameters():
if p.requires_grad:
# remove as '.'-character is not allowed in buffers
s_name = name.replace(".", "")
self.m_name2s_name.update({name: s_name})
self.register_buffer(s_name, p.clone().detach().data)
self.collected_params = []
def reset_num_updates(self):
del self.num_updates
self.register_buffer("num_updates", torch.tensor(0, dtype=torch.int))
def forward(self, model):
decay = self.decay
if self.num_updates >= 0:
self.num_updates += 1
decay = min(self.decay, (1 + self.num_updates) / (10 + self.num_updates))
one_minus_decay = 1.0 - decay
with torch.no_grad():
m_param = dict(model.named_parameters())
shadow_params = dict(self.named_buffers())
for key in m_param:
if m_param[key].requires_grad:
sname = self.m_name2s_name[key]
shadow_params[sname] = shadow_params[sname].type_as(m_param[key])
shadow_params[sname].sub_(
one_minus_decay * (shadow_params[sname] - m_param[key])
)
else:
assert not key in self.m_name2s_name
def copy_to(self, model):
m_param = dict(model.named_parameters())
shadow_params = dict(self.named_buffers())
for key in m_param:
if m_param[key].requires_grad:
m_param[key].data.copy_(shadow_params[self.m_name2s_name[key]].data)
else:
assert not key in self.m_name2s_name
def store(self, parameters):
"""
Save the current parameters for restoring later.
Args:
parameters: Iterable of `torch.nn.Parameter`; the parameters to be
temporarily stored.
"""
self.collected_params = [param.clone() for param in parameters]
def restore(self, parameters):
"""
Restore the parameters stored with the `store` method.
Useful to validate the model with EMA parameters without affecting the
original optimization process. Store the parameters before the
`copy_to` method. After validation (or model saving), use this to
restore the former parameters.
Args:
parameters: Iterable of `torch.nn.Parameter`; the parameters to be
updated with the stored parameters.
"""
for c_param, param in zip(self.collected_params, parameters):
param.data.copy_(c_param.data)
@@ -0,0 +1,329 @@
import torch
import torch.nn as nn
from torch.utils.checkpoint import checkpoint
from transformers import T5Tokenizer, T5EncoderModel, CLIPTokenizer, CLIPTextModel
import numpy as np
import open_clip
from PIL import Image
from ...util import default, count_params
class AbstractEncoder(nn.Module):
def __init__(self):
super().__init__()
def encode(self, *args, **kwargs):
raise NotImplementedError
class IdentityEncoder(AbstractEncoder):
def encode(self, x):
return x
class ClassEmbedder(nn.Module):
def __init__(self, embed_dim, n_classes=1000, key="class", ucg_rate=0.1):
super().__init__()
self.key = key
self.embedding = nn.Embedding(n_classes, embed_dim)
self.n_classes = n_classes
self.ucg_rate = ucg_rate
def forward(self, batch, key=None, disable_dropout=False):
if key is None:
key = self.key
# this is for use in crossattn
c = batch[key][:, None]
if self.ucg_rate > 0.0 and not disable_dropout:
mask = 1.0 - torch.bernoulli(torch.ones_like(c) * self.ucg_rate)
c = mask * c + (1 - mask) * torch.ones_like(c) * (self.n_classes - 1)
c = c.long()
c = self.embedding(c)
return c
def get_unconditional_conditioning(self, bs, device="cuda"):
uc_class = (
self.n_classes - 1
) # 1000 classes --> 0 ... 999, one extra class for ucg (class 1000)
uc = torch.ones((bs,), device=device) * uc_class
uc = {self.key: uc}
return uc
def disabled_train(self, mode=True):
"""Overwrite model.train with this function to make sure train/eval mode
does not change anymore."""
return self
class FrozenT5Embedder(AbstractEncoder):
"""Uses the T5 transformer encoder for text"""
def __init__(
self, version="google/t5-v1_1-large", device="cuda", max_length=77, freeze=True
): # others are google/t5-v1_1-xl and google/t5-v1_1-xxl
super().__init__()
self.tokenizer = T5Tokenizer.from_pretrained(version)
self.transformer = T5EncoderModel.from_pretrained(version)
self.device = device
self.max_length = max_length # TODO: typical value?
if freeze:
self.freeze()
def freeze(self):
self.transformer = self.transformer.eval()
# self.train = disabled_train
for param in self.parameters():
param.requires_grad = False
def forward(self, text):
batch_encoding = self.tokenizer(
text,
truncation=True,
max_length=self.max_length,
return_length=True,
return_overflowing_tokens=False,
padding="max_length",
return_tensors="pt",
)
tokens = batch_encoding["input_ids"].to(self.device)
outputs = self.transformer(input_ids=tokens)
z = outputs.last_hidden_state
return z
def encode(self, text):
return self(text)
class FrozenCLIPEmbedder(AbstractEncoder):
"""Uses the CLIP transformer encoder for text (from huggingface)"""
LAYERS = ["last", "pooled", "hidden"]
def __init__(
self,
version="openai/clip-vit-large-patch14",
device="cuda",
max_length=77,
freeze=True,
layer="last",
layer_idx=None,
): # clip-vit-base-patch32
super().__init__()
assert layer in self.LAYERS
self.tokenizer = CLIPTokenizer.from_pretrained(version)
self.transformer = CLIPTextModel.from_pretrained(version)
self.device = device
self.max_length = max_length
if freeze:
self.freeze()
self.layer = layer
self.layer_idx = layer_idx
if layer == "hidden":
assert layer_idx is not None
assert 0 <= abs(layer_idx) <= 12
def freeze(self):
self.transformer = self.transformer.eval()
# self.train = disabled_train
for param in self.parameters():
param.requires_grad = False
def forward(self, text):
batch_encoding = self.tokenizer(
text,
truncation=True,
max_length=self.max_length,
return_length=True,
return_overflowing_tokens=False,
padding="max_length",
return_tensors="pt",
)
tokens = batch_encoding["input_ids"].to(self.device)
outputs = self.transformer(
input_ids=tokens, output_hidden_states=self.layer == "hidden"
)
if self.layer == "last":
z = outputs.last_hidden_state
elif self.layer == "pooled":
z = outputs.pooler_output[:, None, :]
else:
z = outputs.hidden_states[self.layer_idx]
return z
def encode(self, text):
return self(text)
class FrozenOpenCLIPEmbedder(AbstractEncoder, nn.Module):
"""
Uses the OpenCLIP transformer encoder for text
"""
LAYERS = [
# "pooled",
"last",
"penultimate",
]
def __init__(
self,
arch="ViT-H-14",
version="laion2b_s32b_b79k",
device="cuda",
max_length=77,
freeze=True,
layer="last",
ip_mode=None
):
"""_summary_
Args:
ip_mode (str, optional): what is the image promcessing mode. Defaults to None.
"""
super().__init__()
assert layer in self.LAYERS
model, _, preprocess = open_clip.create_model_and_transforms(
arch, device=torch.device("cpu"), pretrained=version
)
if ip_mode is None:
del model.visual
self.model = model
self.preprocess = preprocess
self.device = device
self.max_length = max_length
self.ip_mode = ip_mode
if freeze:
self.freeze()
self.layer = layer
if self.layer == "last":
self.layer_idx = 0
elif self.layer == "penultimate":
self.layer_idx = 1
else:
raise NotImplementedError()
def freeze(self):
self.model = self.model.eval()
for param in self.parameters():
param.requires_grad = False
def forward(self, text):
tokens = open_clip.tokenize(text)
z = self.encode_with_transformer(tokens.to(self.device))
return z
def forward_image(self, pil_image):
if isinstance(pil_image, Image.Image):
pil_image = [pil_image]
if isinstance(pil_image, torch.Tensor):
pil_image = pil_image.cpu().numpy()
if isinstance(pil_image, np.ndarray):
if pil_image.ndim == 3:
pil_image = pil_image[None, :, :, :]
pil_image = [Image.fromarray(x) for x in pil_image]
images = []
for image in pil_image:
images.append(self.preprocess(image).to(self.device))
image = torch.stack(images, 0) # to [b, 3, h, w]
if self.ip_mode == "global":
image_features = self.model.encode_image(image)
image_features /= image_features.norm(dim=-1, keepdim=True)
elif "local" in self.ip_mode:
image_features = self.encode_image_with_transformer(image)
return image_features # b, l
def encode_image_with_transformer(self, x):
visual = self.model.visual
x = visual.conv1(x) # shape = [*, width, grid, grid]
x = x.reshape(x.shape[0], x.shape[1], -1) # shape = [*, width, grid ** 2]
x = x.permute(0, 2, 1) # shape = [*, grid ** 2, width]
# class embeddings and positional embeddings
x = torch.cat(
[visual.class_embedding.to(x.dtype) + \
torch.zeros(x.shape[0], 1, x.shape[-1], dtype=x.dtype, device=x.device),
x], dim=1) # shape = [*, grid ** 2 + 1, width]
x = x + visual.positional_embedding.to(x.dtype)
# a patch_dropout of 0. would mean it is disabled and this function would do nothing but return what was passed in
# x = visual.patch_dropout(x)
x = visual.ln_pre(x)
x = x.permute(1, 0, 2) # NLD -> LND
hidden = self.image_transformer_forward(x)
x = hidden[-2].permute(1, 0, 2) # LND -> NLD
return x
def image_transformer_forward(self, x):
encoder_states = ()
trans = self.model.visual.transformer
for r in trans.resblocks:
if trans.grad_checkpointing and not torch.jit.is_scripting():
# TODO: handle kwargs https://github.com/pytorch/pytorch/issues/79887#issuecomment-1161758372
x = checkpoint(r, x, None, None, None)
else:
x = r(x, attn_mask=None)
encoder_states = encoder_states + (x, )
return encoder_states
def encode_with_transformer(self, text):
x = self.model.token_embedding(text) # [batch_size, n_ctx, d_model]
x = x + self.model.positional_embedding
x = x.permute(1, 0, 2) # NLD -> LND
x = self.text_transformer_forward(x, attn_mask=self.model.attn_mask)
x = x.permute(1, 0, 2) # LND -> NLD
x = self.model.ln_final(x)
return x
def text_transformer_forward(self, x: torch.Tensor, attn_mask=None):
for i, r in enumerate(self.model.transformer.resblocks):
if i == len(self.model.transformer.resblocks) - self.layer_idx:
break
if (
self.model.transformer.grad_checkpointing
and not torch.jit.is_scripting()
):
x = checkpoint(r, x, attn_mask)
else:
x = r(x, attn_mask=attn_mask)
return x
def encode(self, text):
return self(text)
class FrozenCLIPT5Encoder(AbstractEncoder):
def __init__(
self,
clip_version="openai/clip-vit-large-patch14",
t5_version="google/t5-v1_1-xl",
device="cuda",
clip_max_length=77,
t5_max_length=77,
):
super().__init__()
self.clip_encoder = FrozenCLIPEmbedder(
clip_version, device, max_length=clip_max_length
)
self.t5_encoder = FrozenT5Embedder(t5_version, device, max_length=t5_max_length)
print(
f"{self.clip_encoder.__class__.__name__} has {count_params(self.clip_encoder)*1.e-6:.2f} M parameters, "
f"{self.t5_encoder.__class__.__name__} comes with {count_params(self.t5_encoder)*1.e-6:.2f} M params."
)
def encode(self, text):
return self(text)
def forward(self, text):
clip_z = self.clip_encoder.encode(text)
t5_z = self.t5_encoder.encode(text)
return [clip_z, t5_z]
+226
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@@ -0,0 +1,226 @@
import importlib
import random
import torch
import numpy as np
from collections import abc
import multiprocessing as mp
from threading import Thread
from queue import Queue
from inspect import isfunction
from PIL import Image, ImageDraw, ImageFont
def log_txt_as_img(wh, xc, size=10):
# wh a tuple of (width, height)
# xc a list of captions to plot
b = len(xc)
txts = list()
for bi in range(b):
txt = Image.new("RGB", wh, color="white")
draw = ImageDraw.Draw(txt)
font = ImageFont.truetype("data/DejaVuSans.ttf", size=size)
nc = int(40 * (wh[0] / 256))
lines = "\n".join(
xc[bi][start : start + nc] for start in range(0, len(xc[bi]), nc)
)
try:
draw.text((0, 0), lines, fill="black", font=font)
except UnicodeEncodeError:
print("Cant encode string for logging. Skipping.")
txt = np.array(txt).transpose(2, 0, 1) / 127.5 - 1.0
txts.append(txt)
txts = np.stack(txts)
txts = torch.tensor(txts)
return txts
def ismap(x):
if not isinstance(x, torch.Tensor):
return False
return (len(x.shape) == 4) and (x.shape[1] > 3)
def isimage(x):
if not isinstance(x, torch.Tensor):
return False
return (len(x.shape) == 4) and (x.shape[1] == 3 or x.shape[1] == 1)
def exists(x):
return x is not None
def default(val, d):
if exists(val):
return val
return d() if isfunction(d) else d
def mean_flat(tensor):
"""
https://github.com/openai/guided-diffusion/blob/27c20a8fab9cb472df5d6bdd6c8d11c8f430b924/guided_diffusion/nn.py#L86
Take the mean over all non-batch dimensions.
"""
return tensor.mean(dim=list(range(1, len(tensor.shape))))
def count_params(model, verbose=False):
total_params = sum(p.numel() for p in model.parameters())
if verbose:
print(f"{model.__class__.__name__} has {total_params * 1.e-6:.2f} M params.")
return total_params
def instantiate_from_config(config):
if not "target" in config:
if config == "__is_first_stage__":
return None
elif config == "__is_unconditional__":
return None
raise KeyError("Expected key `target` to instantiate.")
# import pdb; pdb.set_trace()
return get_obj_from_str(config["target"])(**config.get("params", dict()))
def get_obj_from_str(string, reload=False):
module, cls = string.rsplit(".", 1)
# import pdb; pdb.set_trace()
if reload:
module_imp = importlib.import_module(module)
importlib.reload(module_imp)
return getattr(importlib.import_module(module, package=None), cls)
def _do_parallel_data_prefetch(func, Q, data, idx, idx_to_fn=False):
# create dummy dataset instance
# run prefetching
if idx_to_fn:
res = func(data, worker_id=idx)
else:
res = func(data)
Q.put([idx, res])
Q.put("Done")
def parallel_data_prefetch(
func: callable,
data,
n_proc,
target_data_type="ndarray",
cpu_intensive=True,
use_worker_id=False,
):
# if target_data_type not in ["ndarray", "list"]:
# raise ValueError(
# "Data, which is passed to parallel_data_prefetch has to be either of type list or ndarray."
# )
if isinstance(data, np.ndarray) and target_data_type == "list":
raise ValueError("list expected but function got ndarray.")
elif isinstance(data, abc.Iterable):
if isinstance(data, dict):
print(
f'WARNING:"data" argument passed to parallel_data_prefetch is a dict: Using only its values and disregarding keys.'
)
data = list(data.values())
if target_data_type == "ndarray":
data = np.asarray(data)
else:
data = list(data)
else:
raise TypeError(
f"The data, that shall be processed parallel has to be either an np.ndarray or an Iterable, but is actually {type(data)}."
)
if cpu_intensive:
Q = mp.Queue(1000)
proc = mp.Process
else:
Q = Queue(1000)
proc = Thread
# spawn processes
if target_data_type == "ndarray":
arguments = [
[func, Q, part, i, use_worker_id]
for i, part in enumerate(np.array_split(data, n_proc))
]
else:
step = (
int(len(data) / n_proc + 1)
if len(data) % n_proc != 0
else int(len(data) / n_proc)
)
arguments = [
[func, Q, part, i, use_worker_id]
for i, part in enumerate(
[data[i : i + step] for i in range(0, len(data), step)]
)
]
processes = []
for i in range(n_proc):
p = proc(target=_do_parallel_data_prefetch, args=arguments[i])
processes += [p]
# start processes
print(f"Start prefetching...")
import time
start = time.time()
gather_res = [[] for _ in range(n_proc)]
try:
for p in processes:
p.start()
k = 0
while k < n_proc:
# get result
res = Q.get()
if res == "Done":
k += 1
else:
gather_res[res[0]] = res[1]
except Exception as e:
print("Exception: ", e)
for p in processes:
p.terminate()
raise e
finally:
for p in processes:
p.join()
print(f"Prefetching complete. [{time.time() - start} sec.]")
if target_data_type == "ndarray":
if not isinstance(gather_res[0], np.ndarray):
return np.concatenate([np.asarray(r) for r in gather_res], axis=0)
# order outputs
return np.concatenate(gather_res, axis=0)
elif target_data_type == "list":
out = []
for r in gather_res:
out.extend(r)
return out
else:
return gather_res
def set_seed(seed=None):
random.seed(seed)
np.random.seed(seed)
if seed is not None:
torch.manual_seed(seed)
torch.cuda.manual_seed_all(seed)
def add_random_background(image, bg_color=None):
bg_color = np.random.rand() * 255 if bg_color is None else bg_color
image = np.array(image)
rgb, alpha = image[..., :3], image[..., 3:]
alpha = alpha.astype(np.float32) / 255.0
image_new = rgb * alpha + bg_color * (1 - alpha)
return Image.fromarray(image_new.astype(np.uint8))
+64
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@@ -0,0 +1,64 @@
""" Utiliy functions to load pre-trained models more easily """
import os
import pkg_resources
from omegaconf import OmegaConf
import torch
from huggingface_hub import hf_hub_download
from crm.imagedream.ldm.util import instantiate_from_config
PRETRAINED_MODELS = {
"sd-v2.1-base-4view-ipmv": {
"config": "sd_v2_base_ipmv.yaml",
"repo_id": "Peng-Wang/ImageDream",
"filename": "sd-v2.1-base-4view-ipmv.pt",
},
"sd-v2.1-base-4view-ipmv-local": {
"config": "sd_v2_base_ipmv_local.yaml",
"repo_id": "Peng-Wang/ImageDream",
"filename": "sd-v2.1-base-4view-ipmv-local.pt",
},
}
def get_config_file(config_path):
cfg_file = pkg_resources.resource_filename(
"imagedream", os.path.join("configs", config_path)
)
if not os.path.exists(cfg_file):
raise RuntimeError(f"Config {config_path} not available!")
return cfg_file
def build_model(model_name, config_path=None, ckpt_path=None, cache_dir=None):
if (config_path is not None) and (ckpt_path is not None):
config = OmegaConf.load(config_path)
model = instantiate_from_config(config.model)
model.load_state_dict(torch.load(ckpt_path, map_location="cpu"), strict=False)
return model
if not model_name in PRETRAINED_MODELS:
raise RuntimeError(
f"Model name {model_name} is not a pre-trained model. Available models are:\n- "
+ "\n- ".join(PRETRAINED_MODELS.keys())
)
model_info = PRETRAINED_MODELS[model_name]
# Instiantiate the model
print(f"Loading model from config: {model_info['config']}")
config_file = get_config_file(model_info["config"])
config = OmegaConf.load(config_file)
model = instantiate_from_config(config.model)
# Load pre-trained checkpoint from huggingface
if not ckpt_path:
ckpt_path = hf_hub_download(
repo_id=model_info["repo_id"],
filename=model_info["filename"],
cache_dir=cache_dir,
)
print(f"Loading model from cache file: {ckpt_path}")
model.load_state_dict(torch.load(ckpt_path, map_location="cpu"), strict=False)
return model
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import numpy as np
import cv2
import torch
import numpy as np
from PIL import Image
def instantiate_from_config(config):
if not "target" in config:
raise KeyError("Expected key `target` to instantiate.")
return get_obj_from_str(config["target"])(**config.get("params", dict()))
def get_obj_from_str(string, reload=False):
import importlib
module, cls = string.rsplit(".", 1)
if reload:
module_imp = importlib.import_module(module)
importlib.reload(module_imp)
return getattr(importlib.import_module(module, package=None), cls)
def tensor_detail(t):
assert type(t) == torch.Tensor
print(f"shape: {t.shape} mean: {t.mean():.2f}, std: {t.std():.2f}, min: {t.min():.2f}, max: {t.max():.2f}")
def drawRoundRec(draw, color, x, y, w, h, r):
drawObject = draw
'''Rounds'''
drawObject.ellipse((x, y, x + r, y + r), fill=color)
drawObject.ellipse((x + w - r, y, x + w, y + r), fill=color)
drawObject.ellipse((x, y + h - r, x + r, y + h), fill=color)
drawObject.ellipse((x + w - r, y + h - r, x + w, y + h), fill=color)
'''rec.s'''
drawObject.rectangle((x + r / 2, y, x + w - (r / 2), y + h), fill=color)
drawObject.rectangle((x, y + r / 2, x + w, y + h - (r / 2)), fill=color)
def do_resize_content(original_image: Image, scale_rate):
# resize image content wile retain the original image size
if scale_rate != 1:
# Calculate the new size after rescaling
new_size = tuple(int(dim * scale_rate) for dim in original_image.size)
# Resize the image while maintaining the aspect ratio
resized_image = original_image.resize(new_size)
# Create a new image with the original size and black background
padded_image = Image.new("RGBA", original_image.size, (0, 0, 0, 0))
paste_position = ((original_image.width - resized_image.width) // 2, (original_image.height - resized_image.height) // 2)
padded_image.paste(resized_image, paste_position)
return padded_image
else:
return original_image
def add_stroke(img, color=(255, 255, 255), stroke_radius=3):
# color in R, G, B format
if isinstance(img, Image.Image):
assert img.mode == "RGBA"
img = cv2.cvtColor(np.array(img), cv2.COLOR_RGBA2BGRA)
else:
assert img.shape[2] == 4
gray = img[:,:, 3]
ret, binary = cv2.threshold(gray,127,255,cv2.THRESH_BINARY)
contours, hierarchy = cv2.findContours(binary,cv2.RETR_TREE,cv2.CHAIN_APPROX_SIMPLE)
res = cv2.drawContours(img, contours,-1, tuple(color)[::-1] + (255,), stroke_radius)
return Image.fromarray(cv2.cvtColor(res,cv2.COLOR_BGRA2RGBA))
def make_blob(image_size=(512, 512), sigma=0.2):
"""
make 2D blob image with:
I(x, y)=1-\exp \left(-\frac{(x-H / 2)^2+(y-W / 2)^2}{2 \sigma^2 HS}\right)
"""
import numpy as np
H, W = image_size
x = np.arange(0, W, 1, float)
y = np.arange(0, H, 1, float)
x, y = np.meshgrid(x, y)
x0 = W // 2
y0 = H // 2
img = 1 - np.exp(-((x - x0) ** 2 + (y - y0) ** 2) / (2 * sigma ** 2 * H * W))
return (img * 255).astype(np.uint8)
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import numpy as np
import torch
from crm.imagedream.camera_utils import get_camera_for_index
from crm.imagedream.ldm.util import set_seed, add_random_background
from crm.libs.base_utils import do_resize_content
from crm.imagedream.ldm.models.diffusion.ddim import DDIMSampler
from torchvision import transforms as T
class ImageDreamDiffusion:
def __init__(
self,
model,
device,
dtype,
mode,
num_frames,
camera_views,
ref_position,
random_background=False,
offset_noise=False,
resize_rate=1,
image_size=256,
seed=1234,
) -> None:
assert mode in ["pixel", "local"]
size = image_size
self.seed = seed
batch_size = max(4, num_frames)
neg_texts = "uniform low no texture ugly, boring, bad anatomy, blurry, pixelated, obscure, unnatural colors, poor lighting, dull, and unclear."
uc = model.get_learned_conditioning([neg_texts]).to(device)
sampler = DDIMSampler(model)
# pre-compute camera matrices
camera = [get_camera_for_index(i).squeeze() for i in camera_views]
camera[ref_position] = torch.zeros_like(camera[ref_position]) # set ref camera to zero
camera = torch.stack(camera)
camera = camera.repeat(batch_size // num_frames, 1).to(device)
self.image_transform = T.Compose(
[
T.Resize((size, size)),
T.ToTensor(), # scale image pixels from [0,255] to [0,1] values
T.Normalize((0.5, 0.5, 0.5), (0.5, 0.5, 0.5)),
]
)
self.dtype = dtype
self.ref_position = ref_position
self.mode = mode
self.random_background = random_background
self.resize_rate = resize_rate
self.num_frames = num_frames
self.size = size
self.device = device
self.batch_size = batch_size
self.model = model
self.sampler = sampler
self.uc = uc
self.camera = camera
self.offset_noise = offset_noise
@staticmethod
def i2i(
model,
image_size,
prompt,
uc,
sampler,
ip=None,
step=20,
scale=5.0,
batch_size=8,
ddim_eta=0.0,
dtype=torch.float32,
device="cuda",
camera=None,
num_frames=4,
pixel_control=False,
transform=None,
offset_noise=False,
):
""" The function supports additional image prompt.
Args:
model (_type_): the image dream model
image_size (_type_): size of diffusion output (standard 256)
prompt (_type_): text prompt for the image (prompt in type str)
uc (_type_): unconditional vector (tensor in shape [1, 77, 1024])
sampler (_type_): imagedream.ldm.models.diffusion.ddim.DDIMSampler
ip (Image, optional): the image prompt. Defaults to None.
step (int, optional): _description_. Defaults to 20.
scale (float, optional): _description_. Defaults to 7.5.
batch_size (int, optional): _description_. Defaults to 8.
ddim_eta (float, optional): _description_. Defaults to 0.0.
dtype (_type_, optional): _description_. Defaults to torch.float32.
device (str, optional): _description_. Defaults to "cuda".
camera (_type_, optional): camera info in tensor, shape: torch.Size([5, 16]) mean: 0.11, std: 0.49, min: -1.00, max: 1.00
num_frames (int, optional): _num of frames (views) to generate
pixel_control: whether to use pixel conditioning. Defaults to False, True when using pixel mode
transform: Compose(
Resize(size=(256, 256), interpolation=bilinear, max_size=None, antialias=warn)
ToTensor()
Normalize(mean=(0.5, 0.5, 0.5), std=(0.5, 0.5, 0.5))
)
"""
ip_raw = ip
if type(prompt) != list:
prompt = [prompt]
with torch.no_grad(), torch.autocast(device_type=torch.device(device).type, dtype=dtype):
c = model.get_learned_conditioning(prompt).to(
device
) # shape: torch.Size([1, 77, 1024]) mean: -0.17, std: 1.02, min: -7.50, max: 13.05
c_ = {"context": c.repeat(batch_size, 1, 1)} # batch_size
uc_ = {"context": uc.repeat(batch_size, 1, 1)}
if camera is not None:
c_["camera"] = uc_["camera"] = (
camera # shape: torch.Size([5, 16]) mean: 0.11, std: 0.49, min: -1.00, max: 1.00
)
c_["num_frames"] = uc_["num_frames"] = num_frames
if ip is not None:
ip_embed = model.get_learned_image_conditioning(ip).to(
device
) # shape: torch.Size([1, 257, 1280]) mean: 0.06, std: 0.53, min: -6.83, max: 11.12
ip_ = ip_embed.repeat(batch_size, 1, 1)
c_["ip"] = ip_
uc_["ip"] = torch.zeros_like(ip_)
if pixel_control:
assert camera is not None
ip = transform(ip).to(
device
) # shape: torch.Size([3, 256, 256]) mean: 0.33, std: 0.37, min: -1.00, max: 1.00
ip_img = model.get_first_stage_encoding(
model.encode_first_stage(ip[None, :, :, :])
) # shape: torch.Size([1, 4, 32, 32]) mean: 0.23, std: 0.77, min: -4.42, max: 3.55
c_["ip_img"] = ip_img
uc_["ip_img"] = torch.zeros_like(ip_img)
shape = [4, image_size // 8, image_size // 8] # [4, 32, 32]
if offset_noise:
ref = transform(ip_raw).to(device)
ref_latent = model.get_first_stage_encoding(model.encode_first_stage(ref[None, :, :, :]))
ref_mean = ref_latent.mean(dim=(-1, -2), keepdim=True)
time_steps = torch.randint(model.num_timesteps - 1, model.num_timesteps, (batch_size,), device=device)
x_T = model.q_sample(torch.ones([batch_size] + shape, device=device) * ref_mean, time_steps)
samples_ddim, _ = (
sampler.sample( # shape: torch.Size([5, 4, 32, 32]) mean: 0.29, std: 0.85, min: -3.38, max: 4.43
S=step,
conditioning=c_,
batch_size=batch_size,
shape=shape,
verbose=False,
unconditional_guidance_scale=scale,
unconditional_conditioning=uc_,
eta=ddim_eta,
x_T=x_T if offset_noise else None,
)
)
x_sample = model.decode_first_stage(samples_ddim)
x_sample = torch.clamp((x_sample + 1.0) / 2.0, min=0.0, max=1.0)
x_sample = x_sample.permute(0, 2, 3, 1) # (N, H, W, 3) in [0, 1]
return x_sample
def diffuse(self, t, ip, n_test=2):
set_seed(self.seed)
ip = do_resize_content(ip, self.resize_rate)
if self.random_background:
ip = add_random_background(ip)
images = []
for _ in range(n_test):
img = self.i2i(
self.model,
self.size,
t,
self.uc,
self.sampler,
ip=ip,
step=50,
scale=5,
batch_size=self.batch_size,
ddim_eta=0.0,
dtype=self.dtype,
device=self.device,
camera=self.camera,
num_frames=self.num_frames,
pixel_control=(self.mode == "pixel"),
transform=self.image_transform,
offset_noise=self.offset_noise,
)
img = np.concatenate(img, 1)
img = np.concatenate((img, ip.resize((self.size, self.size))), axis=1)
images.append(img)
set_seed() # unset random and numpy seed
return images
class ImageDreamDiffusionStage2:
def __init__(
self,
model,
device,
dtype,
num_frames,
camera_views,
ref_position,
random_background=False,
offset_noise=False,
resize_rate=1,
mode="pixel",
image_size=256,
seed=1234,
) -> None:
assert mode in ["pixel", "local"]
size = image_size
self.seed = seed
batch_size = max(4, num_frames)
neg_texts = "uniform low no texture ugly, boring, bad anatomy, blurry, pixelated, obscure, unnatural colors, poor lighting, dull, and unclear."
uc = model.get_learned_conditioning([neg_texts]).to(device)
sampler = DDIMSampler(model)
# pre-compute camera matrices
camera = [get_camera_for_index(i).squeeze() for i in camera_views]
if ref_position is not None:
camera[ref_position] = torch.zeros_like(camera[ref_position]) # set ref camera to zero
camera = torch.stack(camera)
camera = camera.repeat(batch_size // num_frames, 1).to(device)
self.image_transform = T.Compose(
[
T.Resize((size, size)),
T.ToTensor(),
T.Normalize((0.5, 0.5, 0.5), (0.5, 0.5, 0.5)),
]
)
self.dtype = dtype
self.mode = mode
self.ref_position = ref_position
self.random_background = random_background
self.resize_rate = resize_rate
self.num_frames = num_frames
self.size = size
self.device = device
self.batch_size = batch_size
self.model = model
self.sampler = sampler
self.uc = uc
self.camera = camera
self.offset_noise = offset_noise
@staticmethod
def i2iStage2(
model,
image_size,
prompt,
uc,
sampler,
pixel_images,
ip=None,
step=20,
scale=5.0,
batch_size=8,
ddim_eta=0.0,
dtype=torch.float32,
device="cuda",
camera=None,
num_frames=4,
pixel_control=False,
transform=None,
offset_noise=False,
):
ip_raw = ip
if type(prompt) != list:
prompt = [prompt]
with torch.no_grad(), torch.autocast(device_type=torch.device(device).type, dtype=dtype):
c = model.get_learned_conditioning(prompt).to(
device
) # shape: torch.Size([1, 77, 1024]) mean: -0.17, std: 1.02, min: -7.50, max: 13.05
c_ = {"context": c.repeat(batch_size, 1, 1)} # batch_size
uc_ = {"context": uc.repeat(batch_size, 1, 1)}
if camera is not None:
c_["camera"] = uc_["camera"] = (
camera # shape: torch.Size([5, 16]) mean: 0.11, std: 0.49, min: -1.00, max: 1.00
)
c_["num_frames"] = uc_["num_frames"] = num_frames
if ip is not None:
ip_embed = model.get_learned_image_conditioning(ip).to(
device
) # shape: torch.Size([1, 257, 1280]) mean: 0.06, std: 0.53, min: -6.83, max: 11.12
ip_ = ip_embed.repeat(batch_size, 1, 1)
c_["ip"] = ip_
uc_["ip"] = torch.zeros_like(ip_)
if pixel_control:
assert camera is not None
transed_pixel_images = torch.stack([transform(i).to(device) for i in pixel_images])
latent_pixel_images = model.get_first_stage_encoding(model.encode_first_stage(transed_pixel_images))
c_["pixel_images"] = latent_pixel_images
uc_["pixel_images"] = torch.zeros_like(latent_pixel_images)
shape = [4, image_size // 8, image_size // 8] # [4, 32, 32]
if offset_noise:
ref = transform(ip_raw).to(device)
ref_latent = model.get_first_stage_encoding(model.encode_first_stage(ref[None, :, :, :]))
ref_mean = ref_latent.mean(dim=(-1, -2), keepdim=True)
time_steps = torch.randint(model.num_timesteps - 1, model.num_timesteps, (batch_size,), device=device)
x_T = model.q_sample(torch.ones([batch_size] + shape, device=device) * ref_mean, time_steps)
samples_ddim, _ = (
sampler.sample( # shape: torch.Size([5, 4, 32, 32]) mean: 0.29, std: 0.85, min: -3.38, max: 4.43
S=step,
conditioning=c_,
batch_size=batch_size,
shape=shape,
verbose=False,
unconditional_guidance_scale=scale,
unconditional_conditioning=uc_,
eta=ddim_eta,
x_T=x_T if offset_noise else None,
)
)
x_sample = model.decode_first_stage(samples_ddim)
x_sample = torch.clamp((x_sample + 1.0) / 2.0, min=0.0, max=1.0)
x_sample = x_sample.permute(0, 2, 3, 1) # (N, H, W, 3) in [0, 1]
return x_sample
@torch.no_grad()
def diffuse(self, t, ip, pixel_images, n_test=2):
set_seed(self.seed)
ip = do_resize_content(ip, self.resize_rate)
pixel_images = [do_resize_content(i, self.resize_rate) for i in pixel_images]
if self.random_background:
bg_color = np.random.rand() * 255
ip = add_random_background(ip, bg_color)
pixel_images = [add_random_background(i, bg_color) for i in pixel_images]
images = []
for _ in range(n_test):
img = self.i2iStage2(
self.model,
self.size,
t,
self.uc,
self.sampler,
pixel_images=pixel_images,
ip=ip,
step=50,
scale=5,
batch_size=self.batch_size,
ddim_eta=0.0,
dtype=self.dtype,
device=self.device,
camera=self.camera,
num_frames=self.num_frames,
pixel_control=(self.mode == "pixel"),
transform=self.image_transform,
offset_noise=self.offset_noise,
)
img = np.concatenate(img, 1)
img = np.concatenate(
(img, ip.resize((self.size, self.size)), *[i.resize((self.size, self.size)) for i in pixel_images]),
axis=1,
)
images.append(img)
set_seed() # unset random and numpy seed
return images
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from crm.model.crm.model import CRM
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import torch
import torch.nn as nn
import torch.nn.functional as F
class TetTexNet(nn.Module):
def __init__(self, plane_reso=64, padding=0.1, fea_concat=True):
super().__init__()
# self.c_dim = c_dim
self.plane_reso = plane_reso
self.padding = padding
self.fea_concat = fea_concat
def forward(self, rolled_out_feature, query):
# rolled_out_feature: rolled-out triplane feature
# query: queried xyz coordinates (should be scaled consistently to ptr cloud)
plane_reso = self.plane_reso
triplane_feature = dict()
triplane_feature['xy'] = rolled_out_feature[:, :, :, 0: plane_reso]
triplane_feature['yz'] = rolled_out_feature[:, :, :, plane_reso: 2 * plane_reso]
triplane_feature['zx'] = rolled_out_feature[:, :, :, 2 * plane_reso:]
query_feature_xy = self.sample_plane_feature(query, triplane_feature['xy'], 'xy')
query_feature_yz = self.sample_plane_feature(query, triplane_feature['yz'], 'yz')
query_feature_zx = self.sample_plane_feature(query, triplane_feature['zx'], 'zx')
if self.fea_concat:
query_feature = torch.cat((query_feature_xy, query_feature_yz, query_feature_zx), dim=1)
else:
query_feature = query_feature_xy + query_feature_yz + query_feature_zx
output = query_feature.permute(0, 2, 1)
return output
# uses values from plane_feature and pixel locations from vgrid to interpolate feature
def sample_plane_feature(self, query, plane_feature, plane):
# CYF note:
# for pretraining, query are uniformly sampled positions w.i. [-scale, scale]
# for training, query are essentially tetrahedra grid vertices, which are
# also within [-scale, scale] in the current version!
# xy range [-scale, scale]
if plane == 'xy':
xy = query[:, :, [0, 1]]
elif plane == 'yz':
xy = query[:, :, [1, 2]]
elif plane == 'zx':
xy = query[:, :, [2, 0]]
else:
raise ValueError("Error! Invalid plane type!")
xy = xy[:, :, None].float()
# not seem necessary to rescale the grid, because from
# https://pytorch.org/docs/stable/generated/torch.nn.functional.grid_sample.html,
# it specifies sampling locations normalized by plane_feature's spatial dimension,
# which is within [-scale, scale] as specified by encoder's calling of coordinate2index()
vgrid = 1.0 * xy
sampled_feat = F.grid_sample(plane_feature, vgrid, padding_mode='border', align_corners=True, mode='bilinear').squeeze(-1)
return sampled_feat
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import torch.nn as nn
import torch.nn.functional as F
class SdfMlp(nn.Module):
def __init__(self, input_dim, hidden_dim=512, bias=True):
super().__init__()
self.input_dim = input_dim
self.hidden_dim = hidden_dim
self.fc1 = nn.Linear(input_dim, hidden_dim, bias=bias)
self.fc2 = nn.Linear(hidden_dim, hidden_dim, bias=bias)
self.fc3 = nn.Linear(hidden_dim, 4, bias=bias)
def forward(self, input):
x = F.relu(self.fc1(input))
x = F.relu(self.fc2(x))
out = self.fc3(x)
return out
class RgbMlp(nn.Module):
def __init__(self, input_dim, hidden_dim=512, bias=True):
super().__init__()
self.input_dim = input_dim
self.hidden_dim = hidden_dim
self.fc1 = nn.Linear(input_dim, hidden_dim, bias=bias)
self.fc2 = nn.Linear(hidden_dim, hidden_dim, bias=bias)
self.fc3 = nn.Linear(hidden_dim, 3, bias=bias)
def forward(self, input):
x = F.relu(self.fc1(input))
x = F.relu(self.fc2(x))
out = self.fc3(x)
return out
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'''
Codes are from:
https://github.com/jaxony/unet-pytorch/blob/master/model.py
'''
import torch
import torch.nn as nn
from diffusers import UNet2DModel
import einops
class UNetPP(nn.Module):
'''
Wrapper for UNet in diffusers
'''
def __init__(self, in_channels):
super(UNetPP, self).__init__()
self.in_channels = in_channels
self.unet = UNet2DModel(
sample_size=[256, 256*3],
in_channels=in_channels,
out_channels=32,
layers_per_block=2,
block_out_channels=(64, 128, 128, 128*2, 128*2, 128*4, 128*4),
down_block_types=(
"DownBlock2D",
"DownBlock2D",
"DownBlock2D",
"AttnDownBlock2D",
"AttnDownBlock2D",
"AttnDownBlock2D",
"DownBlock2D",
),
up_block_types=(
"UpBlock2D",
"AttnUpBlock2D",
"AttnUpBlock2D",
"AttnUpBlock2D",
"UpBlock2D",
"UpBlock2D",
"UpBlock2D",
),
)
self.unet.enable_xformers_memory_efficient_attention()
if in_channels > 12:
self.learned_plane = torch.nn.parameter.Parameter(torch.zeros([1,in_channels-12,256,256*3]))
def forward(self, x, t=256):
learned_plane = self.learned_plane
if x.shape[1] < self.in_channels:
learned_plane = einops.repeat(learned_plane, '1 C H W -> B C H W', B=x.shape[0]).to(x.device)
x = torch.cat([x, learned_plane], dim = 1)
return self.unet(x, t).sample
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import torch.nn as nn
import torch
import torch.nn.functional as F
import numpy as np
import cv2
import trimesh
import nvdiffrast.torch as dr
from crm.model.archs.decoders.shape_texture_net import TetTexNet
from crm.model.archs.unet import UNetPP
from crm.util.renderer import Renderer
from crm.model.archs.mlp_head import SdfMlp, RgbMlp
import xatlas
from mesh_processer.mesh import Mesh
class Dummy:
pass
class CRM(nn.Module):
def __init__(self, specs):
super(CRM, self).__init__()
self.specs = specs
# configs
input_specs = specs["Input"]
self.input = Dummy()
self.input.scale = input_specs['scale']
self.input.resolution = input_specs['resolution']
self.tet_grid_size = input_specs['tet_grid_size']
self.camera_angle_num = input_specs['camera_angle_num']
self.arch = Dummy()
self.arch.fea_concat = specs["ArchSpecs"]["fea_concat"]
self.arch.mlp_bias = specs["ArchSpecs"]["mlp_bias"]
self.dec = Dummy()
self.dec.c_dim = specs["DecoderSpecs"]["c_dim"]
self.dec.plane_resolution = specs["DecoderSpecs"]["plane_resolution"]
self.geo_type = specs["Train"].get("geo_type", "flex") # "dmtet" or "flex"
self.unet2 = UNetPP(in_channels=self.dec.c_dim)
mlp_chnl_s = 3 if self.arch.fea_concat else 1 # 3 for queried triplane feature concatenation
self.decoder = TetTexNet(plane_reso=self.dec.plane_resolution, fea_concat=self.arch.fea_concat)
if self.geo_type == "flex":
self.weightMlp = nn.Sequential(
nn.Linear(mlp_chnl_s * 32 * 8, 512),
nn.SiLU(),
nn.Linear(512, 21))
self.sdfMlp = SdfMlp(mlp_chnl_s * 32, 512, bias=self.arch.mlp_bias)
self.rgbMlp = RgbMlp(mlp_chnl_s * 32, 512, bias=self.arch.mlp_bias)
self.renderer = Renderer(tet_grid_size=self.tet_grid_size, camera_angle_num=self.camera_angle_num,
scale=self.input.scale, geo_type = self.geo_type)
self.spob = True if specs['Pretrain']['mode'] is None else False # whether to add sphere
self.radius = specs['Pretrain']['radius'] # used when spob
self.denoising = True
from diffusers import DDIMScheduler
self.scheduler = DDIMScheduler.from_pretrained("stabilityai/stable-diffusion-2-1-base", subfolder="scheduler")
def decode(self, data, triplane_feature2):
if self.geo_type == "flex":
tet_verts = self.renderer.flexicubes.verts.unsqueeze(0)
tet_indices = self.renderer.flexicubes.indices
dec_verts = self.decoder(triplane_feature2, tet_verts)
out = self.sdfMlp(dec_verts)
weight = None
if self.geo_type == "flex":
grid_feat = torch.index_select(input=dec_verts, index=self.renderer.flexicubes.indices.reshape(-1),dim=1)
grid_feat = grid_feat.reshape(dec_verts.shape[0], self.renderer.flexicubes.indices.shape[0], self.renderer.flexicubes.indices.shape[1] * dec_verts.shape[-1])
weight = self.weightMlp(grid_feat)
weight = weight * 0.1
pred_sdf, deformation = out[..., 0], out[..., 1:]
if self.spob:
pred_sdf = pred_sdf + self.radius - torch.sqrt((tet_verts**2).sum(-1))
_, verts, faces = self.renderer(data, pred_sdf, deformation, tet_verts, tet_indices, weight= weight)
return verts[0].unsqueeze(0), faces[0].int()
def export_mesh(self, data, out_dir, ind, device=None, tri_fea_2 = None):
verts = data['verts']
faces = data['faces']
dec_verts = self.decoder(tri_fea_2, verts.unsqueeze(0))
colors = self.rgbMlp(dec_verts).squeeze().detach().cpu().numpy()
# Expect predicted colors value range from [-1, 1]
colors = (colors * 0.5 + 0.5).clip(0, 1)
verts = verts.squeeze().cpu().numpy()
faces = faces[..., [2, 1, 0]].squeeze().cpu().numpy()
# export the final mesh
with torch.no_grad():
mesh = trimesh.Trimesh(verts, faces, vertex_colors=colors, process=False) # important, process=True leads to seg fault...
mesh.export(out_dir / f'{ind}.obj')
@torch.no_grad()
def get_mesh_wt_uv(self, ctx, data, device, res, tri_fea_2=None):
mesh_v = data['verts'].squeeze().cpu().numpy()
mesh_pos_idx = data['faces'].squeeze().cpu().numpy()
def interpolate(attr, rast, attr_idx, rast_db=None):
return dr.interpolate(attr.contiguous(), rast, attr_idx, rast_db=rast_db,
diff_attrs=None if rast_db is None else 'all')
vmapping, indices, uvs = xatlas.parametrize(mesh_v, mesh_pos_idx)
mesh_v = torch.tensor(mesh_v, dtype=torch.float32, device=device)
mesh_pos_idx = torch.tensor(mesh_pos_idx, dtype=torch.int64, device=device)
# Convert to tensors
indices_int64 = indices.astype(np.uint64, casting='same_kind').view(np.int64)
uvs = torch.tensor(uvs, dtype=torch.float32, device=mesh_v.device)
mesh_tex_idx = torch.tensor(indices_int64, dtype=torch.int64, device=mesh_v.device)
# mesh_v_tex. ture
uv_clip = uvs[None, ...] * 2.0 - 1.0
# pad to four component coordinate
uv_clip4 = torch.cat((uv_clip, torch.zeros_like(uv_clip[..., 0:1]), torch.ones_like(uv_clip[..., 0:1])), dim=-1)
# rasterize
rast, _ = dr.rasterize(ctx, uv_clip4, mesh_tex_idx.int(), res)
# Interpolate world space position
gb_pos, _ = interpolate(mesh_v[None, ...], rast, mesh_pos_idx.int())
mask = rast[..., 3:4] > 0
# return uvs, mesh_tex_idx, gb_pos, mask
gb_pos_unsqz = gb_pos.view(-1, 3)
mask_unsqz = mask.view(-1)
tex_unsqz = torch.zeros_like(gb_pos_unsqz) + 1
gb_mask_pos = gb_pos_unsqz[mask_unsqz]
gb_mask_pos = gb_mask_pos[None, ]
with torch.no_grad():
dec_verts = self.decoder(tri_fea_2, gb_mask_pos)
colors = self.rgbMlp(dec_verts).squeeze()
# Expect predicted colors value range from [-1, 1]
lo, hi = (-1, 1)
colors = (colors - lo) * (255 / (hi - lo))
colors = colors.clip(0, 255)
tex_unsqz[mask_unsqz] = colors
tex = tex_unsqz.view(res + (3,))
verts = mesh_v.squeeze().cpu().numpy()
faces = mesh_pos_idx[..., [2, 1, 0]].squeeze().cpu().numpy()
# faces = mesh_pos_idx
# faces = faces.detach().cpu().numpy()
# faces = faces[..., [2, 1, 0]]
indices = indices[..., [2, 1, 0]]
verts = verts[:, [0, 2, 1]]
verts[:, 2] *= -1
#uvs[:, 1] = 1 - uvs[:, 1]
# Get albedo texture map
img = np.asarray(tex.data.cpu().numpy(), dtype=np.float32)
mask = np.sum(img.astype(float), axis=-1, keepdims=True)
mask = (mask <= 3.0).astype(float)
kernel = np.ones((3, 3), 'uint8')
dilate_img = cv2.dilate(img, kernel, iterations=1)
img = img * (1 - mask) + dilate_img * mask
img = img.clip(0, 255).astype(np.uint8) / 255
mesh_v = torch.tensor(verts, dtype=torch.float32, device=device)
mesh_f = torch.tensor(faces, dtype=torch.int32, device=device)
mesh_vt = uvs.clone().detach()
mesh_ft = torch.tensor(indices.astype(np.int32), dtype=torch.int32, device=device)
albedo = torch.tensor(img, dtype=torch.float32, device=device)
mesh = Mesh(v=mesh_v, f=mesh_f, vt=mesh_vt, ft=mesh_ft, albedo=albedo, device=device)
mesh.auto_normal()
return mesh
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# 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'
]
class FlexiCubes:
"""
This class implements the FlexiCubes method for extracting meshes from scalar fields.
It maintains a series of lookup tables and indices to support the mesh extraction process.
FlexiCubes, a differentiable variant of the Dual Marching Cubes (DMC) scheme, enhances
the geometric fidelity and mesh quality of reconstructed meshes by dynamically adjusting
the surface representation through gradient-based optimization.
During instantiation, the class loads DMC tables from a file and transforms them into
PyTorch tensors on the specified device.
Attributes:
device (str): Specifies the computational device (default is "cuda").
dmc_table (torch.Tensor): Dual Marching Cubes (DMC) table that encodes the edges
associated with each dual vertex in 256 Marching Cubes (MC) configurations.
num_vd_table (torch.Tensor): Table holding the number of dual vertices in each of
the 256 MC configurations.
check_table (torch.Tensor): Table resolving ambiguity in cases C16 and C19
of the DMC configurations.
tet_table (torch.Tensor): Lookup table used in tetrahedralizing the isosurface.
quad_split_1 (torch.Tensor): Indices for splitting a quad into two triangles
along one diagonal.
quad_split_2 (torch.Tensor): Alternative indices for splitting a quad into
two triangles along the other diagonal.
quad_split_train (torch.Tensor): Indices for splitting a quad into four triangles
during training by connecting all edges to their midpoints.
cube_corners (torch.Tensor): Defines the positions of a standard unit cube's
eight corners in 3D space, ordered starting from the origin (0,0,0),
moving along the x-axis, then y-axis, and finally z-axis.
Used as a blueprint for generating a voxel grid.
cube_corners_idx (torch.Tensor): Cube corners indexed as powers of 2, used
to retrieve the case id.
cube_edges (torch.Tensor): Edge connections in a cube, listed in pairs.
Used to retrieve edge vertices in DMC.
edge_dir_table (torch.Tensor): A mapping tensor that associates edge indices with
their corresponding axis. For instance, edge_dir_table[0] = 0 indicates that the
first edge is oriented along the x-axis.
dir_faces_table (torch.Tensor): A tensor that maps the corresponding axis of shared edges
across four adjacent cubes to the shared faces of these cubes. For instance,
dir_faces_table[0] = [5, 4] implies that for four cubes sharing an edge along
the x-axis, the first and second cubes share faces indexed as 5 and 4, respectively.
This tensor is only utilized during isosurface tetrahedralization.
adj_pairs (torch.Tensor):
A tensor containing index pairs that correspond to neighboring cubes that share the same edge.
qef_reg_scale (float):
The scaling factor applied to the regularization loss to prevent issues with singularity
when solving the QEF. This parameter is only used when a 'grad_func' is specified.
weight_scale (float):
The scale of weights in FlexiCubes. Should be between 0 and 1.
"""
def __init__(self, device="cuda", qef_reg_scale=1e-3, weight_scale=0.99):
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)
self.qef_reg_scale = qef_reg_scale
self.weight_scale = weight_scale
def construct_voxel_grid(self, res):
"""
Generates a voxel grid based on the specified resolution.
Args:
res (int or list[int]): The resolution of the voxel grid. If an integer
is provided, it is used for all three dimensions. If a list or tuple
of 3 integers is provided, they define the resolution for the x,
y, and z dimensions respectively.
Returns:
(torch.Tensor, torch.Tensor): Returns the vertices and the indices of the
cube corners (index into vertices) of the constructed voxel grid.
The vertices are centered at the origin, with the length of each
dimension in the grid being one.
"""
base_cube_f = torch.arange(8).to(self.device)
if isinstance(res, int):
res = (res, res, res)
voxel_grid_template = torch.ones(res, device=self.device)
res = torch.tensor([res], dtype=torch.float, device=self.device)
coords = torch.nonzero(voxel_grid_template).float() / res # N, 3
verts = (self.cube_corners.unsqueeze(0) / res + coords.unsqueeze(1)).reshape(-1, 3)
cubes = (base_cube_f.unsqueeze(0) +
torch.arange(coords.shape[0], device=self.device).unsqueeze(1) * 8).reshape(-1)
verts_rounded = torch.round(verts * 10**5) / (10**5)
verts_unique, inverse_indices = torch.unique(verts_rounded, dim=0, return_inverse=True)
cubes = inverse_indices[cubes.reshape(-1)].reshape(-1, 8)
return verts_unique - 0.5, cubes
def __call__(self, x_nx3, s_n, cube_fx8, res, beta_fx12=None, alpha_fx8=None,
gamma_f=None, training=False, output_tetmesh=False, grad_func=None):
r"""
Main function for mesh extraction from scalar field using FlexiCubes. This function converts
discrete signed distance fields, encoded on voxel grids and additional per-cube parameters,
to triangle or tetrahedral meshes using a differentiable operation as described in
`Flexible Isosurface Extraction for Gradient-Based Mesh Optimization`_. FlexiCubes enhances
mesh quality and geometric fidelity by adjusting the surface representation based on gradient
optimization. The output surface is differentiable with respect to the input vertex positions,
scalar field values, and weight parameters.
If you intend to extract a surface mesh from a fixed Signed Distance Field without the
optimization of parameters, it is suggested to provide the "grad_func" which should
return the surface gradient at any given 3D position. When grad_func is provided, the process
to determine the dual vertex position adapts to solve a Quadratic Error Function (QEF), as
described in the `Manifold Dual Contouring`_ paper, and employs an smart splitting strategy.
Please note, this approach is non-differentiable.
For more details and example usage in optimization, refer to the
`Flexible Isosurface Extraction for Gradient-Based Mesh Optimization`_ SIGGRAPH 2023 paper.
Args:
x_nx3 (torch.Tensor): Coordinates of the voxel grid vertices, can be deformed.
s_n (torch.Tensor): Scalar field values at each vertex of the voxel grid. Negative values
denote that the corresponding vertex resides inside the isosurface. This affects
the directions of the extracted triangle faces and volume to be tetrahedralized.
cube_fx8 (torch.Tensor): Indices of 8 vertices for each cube in the voxel grid.
res (int or list[int]): The resolution of the voxel grid. If an integer is provided, it
is used for all three dimensions. If a list or tuple of 3 integers is provided, they
specify the resolution for the x, y, and z dimensions respectively.
beta_fx12 (torch.Tensor, optional): Weight parameters for the cube edges to adjust dual
vertices positioning. Defaults to uniform value for all edges.
alpha_fx8 (torch.Tensor, optional): Weight parameters for the cube corners to adjust dual
vertices positioning. Defaults to uniform value for all vertices.
gamma_f (torch.Tensor, optional): Weight parameters to control the splitting of
quadrilaterals into triangles. Defaults to uniform value for all cubes.
training (bool, optional): If set to True, applies differentiable quad splitting for
training. Defaults to False.
output_tetmesh (bool, optional): If set to True, outputs a tetrahedral mesh, otherwise,
outputs a triangular mesh. Defaults to False.
grad_func (callable, optional): A function to compute the surface gradient at specified
3D positions (input: Nx3 positions). The function should return gradients as an Nx3
tensor. If None, the original FlexiCubes algorithm is utilized. Defaults to None.
Returns:
(torch.Tensor, torch.LongTensor, torch.Tensor): Tuple containing:
- Vertices for the extracted triangular/tetrahedral mesh.
- Faces for the extracted triangular/tetrahedral mesh.
- Regularizer L_dev, computed per dual vertex.
.. _Flexible Isosurface Extraction for Gradient-Based Mesh Optimization:
https://research.nvidia.com/labs/toronto-ai/flexicubes/
.. _Manifold Dual Contouring:
https://people.engr.tamu.edu/schaefer/research/dualsimp_tvcg.pdf
"""
surf_cubes, occ_fx8 = self._identify_surf_cubes(s_n, cube_fx8)
if surf_cubes.sum() == 0:
return torch.zeros(
(0, 3),
device=self.device), torch.zeros(
(0, 4),
dtype=torch.long, device=self.device) if output_tetmesh else torch.zeros(
(0, 3),
dtype=torch.long, device=self.device), torch.zeros(
(0),
device=self.device)
beta_fx12, alpha_fx8, gamma_f = self._normalize_weights(beta_fx12, alpha_fx8, gamma_f, surf_cubes)
case_ids = self._get_case_id(occ_fx8, surf_cubes, res)
surf_edges, idx_map, edge_counts, surf_edges_mask = self._identify_surf_edges(s_n, cube_fx8, surf_cubes)
vd, L_dev, vd_gamma, vd_idx_map = self._compute_vd(
x_nx3, cube_fx8[surf_cubes], surf_edges, s_n, case_ids, beta_fx12, alpha_fx8, gamma_f, idx_map, grad_func)
vertices, faces, s_edges, edge_indices = self._triangulate(
s_n, surf_edges, vd, vd_gamma, edge_counts, idx_map, vd_idx_map, surf_edges_mask, training, grad_func)
if not output_tetmesh:
return vertices, faces, L_dev
else:
vertices, tets = self._tetrahedralize(
x_nx3, s_n, cube_fx8, vertices, faces, surf_edges, s_edges, vd_idx_map, case_ids, edge_indices,
surf_cubes, training)
return vertices, tets, L_dev
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_fx12, alpha_fx8, gamma_f, surf_cubes):
"""
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_fx12 is not None:
beta_fx12 = (torch.tanh(beta_fx12) * self.weight_scale + 1)
else:
beta_fx12 = torch.ones((n_cubes, 12), dtype=torch.float, device=self.device)
if alpha_fx8 is not None:
alpha_fx8 = (torch.tanh(alpha_fx8) * self.weight_scale + 1)
else:
alpha_fx8 = torch.ones((n_cubes, 8), dtype=torch.float, device=self.device)
if gamma_f is not None:
gamma_f = torch.sigmoid(gamma_f) * self.weight_scale + (1 - self.weight_scale)/2
else:
gamma_f = torch.ones((n_cubes), dtype=torch.float, device=self.device)
return beta_fx12[surf_cubes], alpha_fx8[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, s_n, cube_fx8, 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 = s_n < 0
all_edges = cube_fx8[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_fx8.device) * -1
mapping[mask_edges] = torch.arange(mask_edges.sum(), device=cube_fx8.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, s_n, cube_fx8):
"""
Identifies grid cubes that intersect with the underlying surface by checking if the signs at
all corners are not identical.
"""
occ_n = s_n < 0
occ_fx8 = occ_n[cube_fx8.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=None):
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) * self.qef_reg_scale).unsqueeze(0).repeat(p_bxnx3.shape[0], 1, 1)
B_reg = (self.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, x_nx3, surf_cubes_fx8, surf_edges, s_n, case_ids, beta_fx12, alpha_fx8, gamma_f, idx_map, grad_func):
"""
Computes the location of dual vertices as described in Section 4.2
"""
alpha_nx12x2 = torch.index_select(input=alpha_fx8, index=self.cube_edges, dim=1).reshape(-1, 12, 2)
surf_edges_x = torch.index_select(input=x_nx3, index=surf_edges.reshape(-1), dim=0).reshape(-1, 2, 3)
surf_edges_s = torch.index_select(input=s_n, index=surf_edges.reshape(-1), dim=0).reshape(-1, 2, 1)
zero_crossing = self._linear_interp(surf_edges_s, surf_edges_x)
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 = [], [], [], [], []
total_num_vd = 0
vd_idx_map = torch.zeros((case_ids.shape[0], 12), dtype=torch.long, device=self.device, requires_grad=False)
if grad_func is not None:
normals = torch.nn.functional.normalize(grad_func(zero_crossing), dim=-1)
vd = []
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 grad_func is not None:
with torch.no_grad():
cube_e_verts_idx = idx_map[cur_cubes]
curr_edge_group[~curr_mask] = 0
verts_group_idx = torch.gather(input=cube_e_verts_idx, dim=1, index=curr_edge_group)
verts_group_idx[verts_group_idx == -1] = 0
verts_group_pos = torch.index_select(
input=zero_crossing, index=verts_group_idx.reshape(-1), dim=0).reshape(-1, num.item(), 7, 3)
v0 = x_nx3[surf_cubes_fx8[cur_cubes][:, 0]].reshape(-1, 1, 1, 3).repeat(1, num.item(), 1, 1)
curr_mask = curr_mask.reshape(-1, num.item(), 7, 1)
verts_centroid = (verts_group_pos * curr_mask).sum(2) / (curr_mask.sum(2))
normals_bx7x3 = torch.index_select(input=normals, index=verts_group_idx.reshape(-1), dim=0).reshape(
-1, num.item(), 7,
3)
curr_mask = curr_mask.squeeze(2)
vd.append(self._solve_vd_QEF((verts_group_pos - v0) * curr_mask, normals_bx7x3 * curr_mask,
verts_centroid - v0.squeeze(2)) + v0.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 grad_func is not None:
vd = torch.cat(vd)
L_dev = torch.zeros([1], device=self.device)
else:
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_fx12.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
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
def _triangulate(self, s_n, surf_edges, vd, vd_gamma, edge_counts, idx_map, vd_idx_map, surf_edges_mask, training, grad_func):
"""
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 = s_n[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]]))
if grad_func is not None:
# when grad_func is given, split quadrilaterals along the diagonals with more consistent gradients.
with torch.no_grad():
vd_gamma = torch.nn.functional.normalize(grad_func(vd), dim=-1)
quad_gamma = torch.index_select(input=vd_gamma, index=quad_vd_idx.reshape(-1), dim=0).reshape(-1, 4, 3)
gamma_02 = (quad_gamma[:, 0] * quad_gamma[:, 2]).sum(-1, keepdims=True)
gamma_13 = (quad_gamma[:, 1] * quad_gamma[:, 3]).sum(-1, keepdims=True)
else:
quad_gamma = torch.index_select(input=vd_gamma, index=quad_vd_idx.reshape(-1), dim=0).reshape(-1, 4)
gamma_02 = torch.index_select(input=quad_gamma, index=torch.tensor(
0, device=self.device), dim=1) * torch.index_select(input=quad_gamma, index=torch.tensor(2, device=self.device), dim=1)
gamma_13 = torch.index_select(input=quad_gamma, index=torch.tensor(
1, device=self.device), dim=1) * torch.index_select(input=quad_gamma, index=torch.tensor(3, device=self.device), dim=1)
if not training:
mask = (gamma_02 > gamma_13).squeeze(1)
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 = (torch.index_select(input=vd_quad, index=torch.tensor(0, device=self.device), dim=1) +
torch.index_select(input=vd_quad, index=torch.tensor(2, device=self.device), dim=1)) / 2
vd_13 = (torch.index_select(input=vd_quad, index=torch.tensor(1, device=self.device), dim=1) +
torch.index_select(input=vd_quad, index=torch.tensor(3, device=self.device), dim=1)) / 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)).squeeze(1)
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
def _tetrahedralize(
self, x_nx3, s_n, cube_fx8, vertices, faces, surf_edges, s_edges, vd_idx_map, case_ids, edge_indices,
surf_cubes, training):
"""
Tetrahedralizes the interior volume to produce a tetrahedral mesh, as described in Section 4.5.
"""
occ_n = s_n < 0
occ_fx8 = occ_n[cube_fx8.reshape(-1)].reshape(-1, 8)
occ_sum = torch.sum(occ_fx8, -1)
inside_verts = x_nx3[occ_n]
mapping_inside_verts = torch.ones((occ_n.shape[0]), dtype=torch.long, device=self.device) * -1
mapping_inside_verts[occ_n] = torch.arange(occ_n.sum(), device=self.device) + vertices.shape[0]
"""
For each grid edge connecting two grid vertices with different
signs, we first form a four-sided pyramid by connecting one
of the grid vertices with four mesh vertices that correspond
to the grid edge and then subdivide the pyramid into two tetrahedra
"""
inside_verts_idx = mapping_inside_verts[surf_edges[edge_indices.reshape(-1, 4)[:, 0]].reshape(-1, 2)[
s_edges < 0]]
if not training:
inside_verts_idx = inside_verts_idx.unsqueeze(1).expand(-1, 2).reshape(-1)
else:
inside_verts_idx = inside_verts_idx.unsqueeze(1).expand(-1, 4).reshape(-1)
tets_surface = torch.cat([faces, inside_verts_idx.unsqueeze(-1)], -1)
"""
For each grid edge connecting two grid vertices with the
same sign, the tetrahedron is formed by the two grid vertices
and two vertices in consecutive adjacent cells
"""
inside_cubes = (occ_sum == 8)
inside_cubes_center = x_nx3[cube_fx8[inside_cubes].reshape(-1)].reshape(-1, 8, 3).mean(1)
inside_cubes_center_idx = torch.arange(
inside_cubes_center.shape[0], device=inside_cubes.device) + vertices.shape[0] + inside_verts.shape[0]
surface_n_inside_cubes = surf_cubes | inside_cubes
edge_center_vertex_idx = torch.ones(((surface_n_inside_cubes).sum(), 13),
dtype=torch.long, device=x_nx3.device) * -1
surf_cubes = surf_cubes[surface_n_inside_cubes]
inside_cubes = inside_cubes[surface_n_inside_cubes]
edge_center_vertex_idx[surf_cubes, :12] = vd_idx_map.reshape(-1, 12)
edge_center_vertex_idx[inside_cubes, 12] = inside_cubes_center_idx
all_edges = cube_fx8[surface_n_inside_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) == 2
mask = mask_edges[_idx_map]
counts = counts[_idx_map]
mapping = torch.ones((unique_edges.shape[0]), dtype=torch.long, device=self.device) * -1
mapping[mask_edges] = torch.arange(mask_edges.sum(), device=self.device)
idx_map = mapping[_idx_map]
group_mask = (counts == 4) & mask
group = idx_map.reshape(-1)[group_mask]
edge_indices, indices = torch.sort(group)
cube_idx = torch.arange((_idx_map.shape[0] // 12), dtype=torch.long,
device=self.device).unsqueeze(1).expand(-1, 12).reshape(-1)[group_mask]
edge_idx = torch.arange((12), dtype=torch.long, device=self.device).unsqueeze(
0).expand(_idx_map.shape[0] // 12, -1).reshape(-1)[group_mask]
# Identify the face shared by the adjacent cells.
cube_idx_4 = cube_idx[indices].reshape(-1, 4)
edge_dir = self.edge_dir_table[edge_idx[indices]].reshape(-1, 4)[..., 0]
shared_faces_4x2 = self.dir_faces_table[edge_dir].reshape(-1)
cube_idx_4x2 = cube_idx_4[:, self.adj_pairs].reshape(-1)
# Identify an edge of the face with different signs and
# select the mesh vertex corresponding to the identified edge.
case_ids_expand = torch.ones((surface_n_inside_cubes).sum(), dtype=torch.long, device=x_nx3.device) * 255
case_ids_expand[surf_cubes] = case_ids
cases = case_ids_expand[cube_idx_4x2]
quad_edge = edge_center_vertex_idx[cube_idx_4x2, self.tet_table[cases, shared_faces_4x2]].reshape(-1, 2)
mask = (quad_edge == -1).sum(-1) == 0
inside_edge = mapping_inside_verts[unique_edges[mask_edges][edge_indices].reshape(-1)].reshape(-1, 2)
tets_inside = torch.cat([quad_edge, inside_edge], -1)[mask]
tets = torch.cat([tets_surface, tets_inside])
vertices = torch.cat([vertices, inside_verts, inside_cubes_center])
return vertices, tets
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# Copyright (c) 2022, 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 .flexicubes import FlexiCubes # replace later
# from dmtet import sdf_reg_loss_batch
import torch.nn.functional as F
def get_center_boundary_index(grid_res, device):
v = torch.zeros((grid_res + 1, grid_res + 1, grid_res + 1), dtype=torch.bool, device=device)
v[grid_res // 2 + 1, grid_res // 2 + 1, grid_res // 2 + 1] = True
center_indices = torch.nonzero(v.reshape(-1))
v[grid_res // 2 + 1, grid_res // 2 + 1, grid_res // 2 + 1] = False
v[:2, ...] = True
v[-2:, ...] = True
v[:, :2, ...] = True
v[:, -2:, ...] = True
v[:, :, :2] = True
v[:, :, -2:] = True
boundary_indices = torch.nonzero(v.reshape(-1))
return center_indices, boundary_indices
###############################################################################
# Geometry interface
###############################################################################
class FlexiCubesGeometry(object):
def __init__(
self, grid_res=64, scale=2.0, device='cuda', renderer=None,
render_type='neural_render', args=None):
super(FlexiCubesGeometry, self).__init__()
self.grid_res = grid_res
self.device = device
self.args = args
self.fc = FlexiCubes(device, weight_scale=0.5)
self.verts, self.indices = self.fc.construct_voxel_grid(grid_res)
if isinstance(scale, list):
self.verts[:, 0] = self.verts[:, 0] * scale[0]
self.verts[:, 1] = self.verts[:, 1] * scale[1]
self.verts[:, 2] = self.verts[:, 2] * scale[1]
else:
self.verts = self.verts * scale
all_edges = self.indices[:, self.fc.cube_edges].reshape(-1, 2)
self.all_edges = torch.unique(all_edges, dim=0)
# Parameters used for fix boundary sdf
self.center_indices, self.boundary_indices = get_center_boundary_index(self.grid_res, device)
self.renderer = renderer
self.render_type = render_type
def getAABB(self):
return torch.min(self.verts, dim=0).values, torch.max(self.verts, dim=0).values
def get_mesh(self, v_deformed_nx3, sdf_n, weight_n=None, with_uv=False, indices=None, is_training=False):
if indices is None:
indices = self.indices
verts, faces, v_reg_loss = self.fc(v_deformed_nx3, sdf_n, indices, self.grid_res,
beta_fx12=weight_n[:, :12], alpha_fx8=weight_n[:, 12:20],
gamma_f=weight_n[:, 20], training=is_training
)
return verts, faces, v_reg_loss
def render_mesh(self, mesh_v_nx3, mesh_f_fx3, camera_mv_bx4x4, resolution=256, hierarchical_mask=False):
return_value = dict()
if self.render_type == 'neural_render':
tex_pos, mask, hard_mask, rast, v_pos_clip, mask_pyramid, depth = self.renderer.render_mesh(
mesh_v_nx3.unsqueeze(dim=0),
mesh_f_fx3.int(),
camera_mv_bx4x4,
mesh_v_nx3.unsqueeze(dim=0),
resolution=resolution,
device=self.device,
hierarchical_mask=hierarchical_mask
)
return_value['tex_pos'] = tex_pos
return_value['mask'] = mask
return_value['hard_mask'] = hard_mask
return_value['rast'] = rast
return_value['v_pos_clip'] = v_pos_clip
return_value['mask_pyramid'] = mask_pyramid
return_value['depth'] = depth
else:
raise NotImplementedError
return return_value
def render(self, v_deformed_bxnx3=None, sdf_bxn=None, camera_mv_bxnviewx4x4=None, resolution=256):
# Here I assume a batch of meshes (can be different mesh and geometry), for the other shapes, the batch is 1
v_list = []
f_list = []
n_batch = v_deformed_bxnx3.shape[0]
all_render_output = []
for i_batch in range(n_batch):
verts_nx3, faces_fx3 = self.get_mesh(v_deformed_bxnx3[i_batch], sdf_bxn[i_batch])
v_list.append(verts_nx3)
f_list.append(faces_fx3)
render_output = self.render_mesh(verts_nx3, faces_fx3, camera_mv_bxnviewx4x4[i_batch], resolution)
all_render_output.append(render_output)
# Concatenate all render output
return_keys = all_render_output[0].keys()
return_value = dict()
for k in return_keys:
value = [v[k] for v in all_render_output]
return_value[k] = value
# We can do concatenation outside of the render
return return_value
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import torch
import torch.nn as nn
import nvdiffrast.torch as dr
from .flexicubes_geometry import FlexiCubesGeometry
class Renderer(nn.Module):
def __init__(self, tet_grid_size, camera_angle_num, scale, geo_type):
super().__init__()
self.tet_grid_size = tet_grid_size
self.camera_angle_num = camera_angle_num
self.scale = scale
self.geo_type = geo_type
self.glctx = dr.RasterizeCudaContext()
if self.geo_type == "flex":
self.flexicubes = FlexiCubesGeometry(grid_res = self.tet_grid_size)
def forward(self, data, sdf, deform, verts, tets, training=False, weight = None):
results = {}
deform = torch.tanh(deform) / self.tet_grid_size * self.scale / 0.95
if self.geo_type == "flex":
deform = deform *0.5
v_deformed = verts + deform
verts_list = []
faces_list = []
reg_list = []
n_shape = verts.shape[0]
for i in range(n_shape):
verts_i, faces_i, reg_i = self.flexicubes.get_mesh(v_deformed[i], sdf[i].squeeze(dim=-1),
with_uv=False, indices=tets, weight_n=weight[i], is_training=training)
verts_list.append(verts_i)
faces_list.append(faces_i)
reg_list.append(reg_i)
verts = verts_list
faces = faces_list
flexicubes_surface_reg = torch.cat(reg_list).mean()
flexicubes_weight_reg = (weight ** 2).mean()
results["flex_surf_loss"] = flexicubes_surface_reg
results["flex_weight_loss"] = flexicubes_weight_reg
return results, verts, faces
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# 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]]
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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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[0, 0, 0, 0, 0],
[0, 0, 0, 0, 0],
[1, 0, 0, -1, 9],
[0, 0, 0, 0, 0],
[0, 0, 0, 0, 0],
[1, 0, 0, -1, 6],
[0, 0, 0, 0, 0],
[0, 0, 0, 0, 0],
[0, 0, 0, 0, 0],
[0, 0, 0, 0, 0],
[0, 0, 0, 0, 0],
[0, 0, 0, 0, 0]
]
tet_table = [
[-1, -1, -1, -1, -1, -1],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[1, 1, 1, 1, 1, 1],
[4, 4, 4, 4, 4, 4],
[0, 0, 0, 0, 0, 0],
[4, 0, 0, 4, 4, -1],
[1, 1, 1, 1, 1, 1],
[4, 4, 4, 4, 4, 4],
[0, 4, 0, 4, 4, -1],
[0, 0, 0, 0, 0, 0],
[1, 1, 1, 1, 1, 1],
[5, 5, 5, 5, 5, 5],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[1, 1, 1, 1, 1, 1],
[2, 2, 2, 2, 2, 2],
[0, 0, 0, 0, 0, 0],
[2, 0, 2, -1, 0, 2],
[1, 1, 1, 1, 1, 1],
[2, -1, 2, 4, 4, 2],
[0, 0, 0, 0, 0, 0],
[2, 0, 2, 4, 4, 2],
[1, 1, 1, 1, 1, 1],
[2, 4, 2, 4, 4, 2],
[0, 4, 0, 4, 4, 0],
[2, 0, 2, 0, 0, 2],
[1, 1, 1, 1, 1, 1],
[2, 5, 2, 5, 5, 2],
[0, 0, 0, 0, 0, 0],
[2, 0, 2, 0, 0, 2],
[1, 1, 1, 1, 1, 1],
[1, 1, 1, 1, 1, 1],
[0, 1, 1, -1, 0, 1],
[0, 0, 0, 0, 0, 0],
[2, 2, 2, 2, 2, 2],
[4, 1, 1, 4, 4, 1],
[0, 1, 1, 0, 0, 1],
[4, 0, 0, 4, 4, 0],
[2, 2, 2, 2, 2, 2],
[-1, 1, 1, 4, 4, 1],
[0, 1, 1, 4, 4, 1],
[0, 0, 0, 0, 0, 0],
[2, 2, 2, 2, 2, 2],
[5, 1, 1, 5, 5, 1],
[0, 1, 1, 0, 0, 1],
[0, 0, 0, 0, 0, 0],
[2, 2, 2, 2, 2, 2],
[1, 1, 1, 1, 1, 1],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[8, 8, 8, 8, 8, 8],
[1, 1, 1, 4, 4, 1],
[0, 0, 0, 0, 0, 0],
[4, 0, 0, 4, 4, 0],
[4, 4, 4, 4, 4, 4],
[1, 1, 1, 4, 4, 1],
[0, 4, 0, 4, 4, 0],
[0, 0, 0, 0, 0, 0],
[4, 4, 4, 4, 4, 4],
[1, 1, 1, 5, 5, 1],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[5, 5, 5, 5, 5, 5],
[6, 6, 6, 6, 6, 6],
[6, -1, 0, 6, 0, 6],
[6, 0, 0, 6, 0, 6],
[6, 1, 1, 6, 1, 6],
[4, 4, 4, 4, 4, 4],
[0, 0, 0, 0, 0, 0],
[4, 0, 0, 4, 4, 4],
[1, 1, 1, 1, 1, 1],
[6, 4, -1, 6, 4, 6],
[6, 4, 0, 6, 4, 6],
[6, 0, 0, 6, 0, 6],
[6, 1, 1, 6, 1, 6],
[5, 5, 5, 5, 5, 5],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[1, 1, 1, 1, 1, 1],
[2, 2, 2, 2, 2, 2],
[0, 0, 0, 0, 0, 0],
[2, 0, 2, 2, 0, 2],
[1, 1, 1, 1, 1, 1],
[2, 2, 2, 2, 2, 2],
[0, 0, 0, 0, 0, 0],
[2, 0, 2, 2, 2, 2],
[1, 1, 1, 1, 1, 1],
[2, 4, 2, 2, 4, 2],
[0, 4, 0, 4, 4, 0],
[2, 0, 2, 2, 0, 2],
[1, 1, 1, 1, 1, 1],
[2, 2, 2, 2, 2, 2],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[1, 1, 1, 1, 1, 1],
[6, 1, 1, 6, -1, 6],
[6, 1, 1, 6, 0, 6],
[6, 0, 0, 6, 0, 6],
[6, 2, 2, 6, 2, 6],
[4, 1, 1, 4, 4, 1],
[0, 1, 1, 0, 0, 1],
[4, 0, 0, 4, 4, 4],
[2, 2, 2, 2, 2, 2],
[6, 1, 1, 6, 4, 6],
[6, 1, 1, 6, 4, 6],
[6, 0, 0, 6, 0, 6],
[6, 2, 2, 6, 2, 6],
[5, 1, 1, 5, 5, 1],
[0, 1, 1, 0, 0, 1],
[0, 0, 0, 0, 0, 0],
[2, 2, 2, 2, 2, 2],
[1, 1, 1, 1, 1, 1],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[6, 6, 6, 6, 6, 6],
[1, 1, 1, 1, 1, 1],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[4, 4, 4, 4, 4, 4],
[1, 1, 1, 1, 4, 1],
[0, 4, 0, 4, 4, 0],
[0, 0, 0, 0, 0, 0],
[4, 4, 4, 4, 4, 4],
[1, 1, 1, 1, 1, 1],
[0, 0, 0, 0, 0, 0],
[0, 5, 0, 5, 0, 5],
[5, 5, 5, 5, 5, 5],
[5, 5, 5, 5, 5, 5],
[0, 5, 0, 5, 0, 5],
[-1, 5, 0, 5, 0, 5],
[1, 5, 1, 5, 1, 5],
[4, 5, -1, 5, 4, 5],
[0, 5, 0, 5, 0, 5],
[4, 5, 0, 5, 4, 5],
[1, 5, 1, 5, 1, 5],
[4, 4, 4, 4, 4, 4],
[0, 4, 0, 4, 4, 4],
[0, 0, 0, 0, 0, 0],
[1, 1, 1, 1, 1, 1],
[6, 6, 6, 6, 6, 6],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[1, 1, 1, 1, 1, 1],
[2, 5, 2, 5, -1, 5],
[0, 5, 0, 5, 0, 5],
[2, 5, 2, 5, 0, 5],
[1, 5, 1, 5, 1, 5],
[2, 5, 2, 5, 4, 5],
[0, 5, 0, 5, 0, 5],
[2, 5, 2, 5, 4, 5],
[1, 5, 1, 5, 1, 5],
[2, 4, 2, 4, 4, 2],
[0, 4, 0, 4, 4, 4],
[2, 0, 2, 0, 0, 2],
[1, 1, 1, 1, 1, 1],
[2, 6, 2, 6, 6, 2],
[0, 0, 0, 0, 0, 0],
[2, 0, 2, 0, 0, 2],
[1, 1, 1, 1, 1, 1],
[1, 1, 1, 1, 1, 1],
[0, 1, 1, 1, 0, 1],
[0, 0, 0, 0, 0, 0],
[2, 2, 2, 2, 2, 2],
[4, 1, 1, 1, 4, 1],
[0, 1, 1, 1, 0, 1],
[4, 0, 0, 4, 4, 0],
[2, 2, 2, 2, 2, 2],
[1, 1, 1, 1, 1, 1],
[0, 1, 1, 1, 1, 1],
[0, 0, 0, 0, 0, 0],
[2, 2, 2, 2, 2, 2],
[1, 1, 1, 1, 1, 1],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[2, 2, 2, 2, 2, 2],
[1, 1, 1, 1, 1, 1],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[5, 5, 5, 5, 5, 5],
[1, 1, 1, 1, 4, 1],
[0, 0, 0, 0, 0, 0],
[4, 0, 0, 4, 4, 0],
[4, 4, 4, 4, 4, 4],
[1, 1, 1, 1, 1, 1],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[4, 4, 4, 4, 4, 4],
[1, 1, 1, 1, 1, 1],
[6, 0, 0, 6, 0, 6],
[0, 0, 0, 0, 0, 0],
[6, 6, 6, 6, 6, 6],
[5, 5, 5, 5, 5, 5],
[5, 5, 0, 5, 0, 5],
[5, 5, 0, 5, 0, 5],
[5, 5, 1, 5, 1, 5],
[4, 4, 4, 4, 4, 4],
[0, 0, 0, 0, 0, 0],
[4, 4, 0, 4, 4, 4],
[1, 1, 1, 1, 1, 1],
[4, 4, 4, 4, 4, 4],
[4, 4, 0, 4, 4, 4],
[0, 0, 0, 0, 0, 0],
[1, 1, 1, 1, 1, 1],
[8, 8, 8, 8, 8, 8],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[1, 1, 1, 1, 1, 1],
[2, 2, 2, 2, 2, 2],
[0, 0, 0, 0, 0, 0],
[2, 2, 2, 2, 0, 2],
[1, 1, 1, 1, 1, 1],
[2, 2, 2, 2, 2, 2],
[0, 0, 0, 0, 0, 0],
[2, 2, 2, 2, 2, 2],
[1, 1, 1, 1, 1, 1],
[2, 2, 2, 2, 2, 2],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[4, 1, 1, 4, 4, 1],
[2, 2, 2, 2, 2, 2],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[1, 1, 1, 1, 1, 1],
[1, 1, 1, 1, 1, 1],
[1, 1, 1, 1, 0, 1],
[0, 0, 0, 0, 0, 0],
[2, 2, 2, 2, 2, 2],
[1, 1, 1, 1, 1, 1],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[2, 4, 2, 4, 4, 2],
[1, 1, 1, 1, 1, 1],
[1, 1, 1, 1, 1, 1],
[0, 0, 0, 0, 0, 0],
[2, 2, 2, 2, 2, 2],
[1, 1, 1, 1, 1, 1],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[2, 2, 2, 2, 2, 2],
[1, 1, 1, 1, 1, 1],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[5, 5, 5, 5, 5, 5],
[1, 1, 1, 1, 1, 1],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[4, 4, 4, 4, 4, 4],
[1, 1, 1, 1, 1, 1],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[4, 4, 4, 4, 4, 4],
[1, 1, 1, 1, 1, 1],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[12, 12, 12, 12, 12, 12]
]
+194
View File
@@ -0,0 +1,194 @@
import numpy as np
import torch
import random
# Reworked so this matches gluPerspective / glm::perspective, using fovy
def perspective(fovx=0.7854, aspect=1.0, n=0.1, f=1000.0, device=None):
# y = np.tan(fovy / 2)
x = np.tan(fovx / 2)
return torch.tensor([[1/x, 0, 0, 0],
[ 0, -aspect/x, 0, 0],
[ 0, 0, -(f+n)/(f-n), -(2*f*n)/(f-n)],
[ 0, 0, -1, 0]], dtype=torch.float32, device=device)
def translate(x, y, z, device=None):
return torch.tensor([[1, 0, 0, x],
[0, 1, 0, y],
[0, 0, 1, z],
[0, 0, 0, 1]], dtype=torch.float32, device=device)
def rotate_x(a, device=None):
s, c = np.sin(a), np.cos(a)
return torch.tensor([[1, 0, 0, 0],
[0, c, -s, 0],
[0, s, c, 0],
[0, 0, 0, 1]], dtype=torch.float32, device=device)
def rotate_y(a, device=None):
s, c = np.sin(a), np.cos(a)
return torch.tensor([[ c, 0, s, 0],
[ 0, 1, 0, 0],
[-s, 0, c, 0],
[ 0, 0, 0, 1]], dtype=torch.float32, device=device)
def rotate_z(a, device=None):
s, c = np.sin(a), np.cos(a)
return torch.tensor([[c, -s, 0, 0],
[s, c, 0, 0],
[0, 0, 1, 0],
[0, 0, 0, 1]], dtype=torch.float32, device=device)
@torch.no_grad()
def batch_random_rotation_translation(b, t, device=None):
m = np.random.normal(size=[b, 3, 3])
m[:, 1] = np.cross(m[:, 0], m[:, 2])
m[:, 2] = np.cross(m[:, 0], m[:, 1])
m = m / np.linalg.norm(m, axis=2, keepdims=True)
m = np.pad(m, [[0, 0], [0, 1], [0, 1]], mode='constant')
m[:, 3, 3] = 1.0
m[:, :3, 3] = np.random.uniform(-t, t, size=[b, 3])
return torch.tensor(m, dtype=torch.float32, device=device)
@torch.no_grad()
def random_rotation_translation(t, device=None):
m = np.random.normal(size=[3, 3])
m[1] = np.cross(m[0], m[2])
m[2] = np.cross(m[0], m[1])
m = m / np.linalg.norm(m, axis=1, keepdims=True)
m = np.pad(m, [[0, 1], [0, 1]], mode='constant')
m[3, 3] = 1.0
m[:3, 3] = np.random.uniform(-t, t, size=[3])
return torch.tensor(m, dtype=torch.float32, device=device)
@torch.no_grad()
def random_rotation(device=None):
m = np.random.normal(size=[3, 3])
m[1] = np.cross(m[0], m[2])
m[2] = np.cross(m[0], m[1])
m = m / np.linalg.norm(m, axis=1, keepdims=True)
m = np.pad(m, [[0, 1], [0, 1]], mode='constant')
m[3, 3] = 1.0
m[:3, 3] = np.array([0,0,0]).astype(np.float32)
return torch.tensor(m, dtype=torch.float32, device=device)
def dot(x: torch.Tensor, y: torch.Tensor) -> torch.Tensor:
return torch.sum(x*y, -1, keepdim=True)
def length(x: torch.Tensor, eps: float =1e-20) -> torch.Tensor:
return torch.sqrt(torch.clamp(dot(x,x), min=eps)) # Clamp to avoid nan gradients because grad(sqrt(0)) = NaN
def safe_normalize(x: torch.Tensor, eps: float =1e-20) -> torch.Tensor:
return x / length(x, eps)
def lr_schedule(iter, warmup_iter, scheduler_decay):
if iter < warmup_iter:
return iter / warmup_iter
return max(0.0, 10 ** (
-(iter - warmup_iter) * scheduler_decay))
def trans_depth(depth):
depth = depth[0].detach().cpu().numpy()
valid = depth > 0
depth[valid] -= depth[valid].min()
depth[valid] = ((depth[valid] / depth[valid].max()) * 255)
return depth.astype('uint8')
def nan_to_num(input, nan=0.0, posinf=None, neginf=None, *, out=None):
assert isinstance(input, torch.Tensor)
if posinf is None:
posinf = torch.finfo(input.dtype).max
if neginf is None:
neginf = torch.finfo(input.dtype).min
assert nan == 0
return torch.clamp(input.unsqueeze(0).nansum(0), min=neginf, max=posinf, out=out)
def load_item(filepath):
with open(filepath, 'r') as f:
items = [name.strip() for name in f.readlines()]
return set(items)
def load_prompt(filepath):
uuid2prompt = {}
with open(filepath, 'r') as f:
for line in f.readlines():
list_line = line.split(',')
uuid2prompt[list_line[0]] = ','.join(list_line[1:]).strip()
return uuid2prompt
def resize_and_center_image(image_tensor, scale=0.95, c = 0, shift = 0, rgb=False, aug_shift = 0):
if scale == 1:
return image_tensor
B, C, H, W = image_tensor.shape
new_H, new_W = int(H * scale), int(W * scale)
resized_image = torch.nn.functional.interpolate(image_tensor, size=(new_H, new_W), mode='bilinear', align_corners=False).squeeze(0)
background = torch.zeros_like(image_tensor) + c
start_y, start_x = (H - new_H) // 2, (W - new_W) // 2
if shift == 0:
background[:, :, start_y:start_y + new_H, start_x:start_x + new_W] = resized_image
else:
for i in range(B):
randx = random.randint(-shift, shift)
randy = random.randint(-shift, shift)
if rgb == True:
if i == 0 or i==2 or i==4:
randx = 0
randy = 0
background[i, :, start_y+randy:start_y + new_H+randy, start_x+randx:start_x + new_W+randx] = resized_image[i]
if aug_shift == 0:
return background
for i in range(B):
for j in range(C):
background[i, j, :, :] += (random.random() - 0.5)*2 * aug_shift / 255
return background
def get_tri(triview_color, dim = 1, blender=True, c = 0, scale=0.95, shift = 0, fix = False, rgb=False, aug_shift = 0):
# triview_color: [6,C,H,W]
# rgb is useful when shift is not 0
triview_color = resize_and_center_image(triview_color, scale=scale, c = c, shift=shift,rgb=rgb, aug_shift = aug_shift)
if blender is False:
triview_color0 = torch.rot90(triview_color[0],k=2,dims=[1,2])
triview_color1 = torch.rot90(triview_color[4],k=1,dims=[1,2]).flip(2).flip(1)
triview_color2 = torch.rot90(triview_color[5],k=1,dims=[1,2]).flip(2)
triview_color3 = torch.rot90(triview_color[3],k=2,dims=[1,2]).flip(2)
triview_color4 = torch.rot90(triview_color[1],k=3,dims=[1,2]).flip(1)
triview_color5 = torch.rot90(triview_color[2],k=3,dims=[1,2]).flip(1).flip(2)
else:
triview_color0 = torch.rot90(triview_color[2],k=2,dims=[1,2])
triview_color1 = torch.rot90(triview_color[4],k=0,dims=[1,2]).flip(2).flip(1)
triview_color2 = torch.rot90(torch.rot90(triview_color[0],k=3,dims=[1,2]).flip(2), k=2,dims=[1,2])
triview_color3 = torch.rot90(torch.rot90(triview_color[5],k=2,dims=[1,2]).flip(2), k=2,dims=[1,2])
triview_color4 = torch.rot90(triview_color[1],k=2,dims=[1,2]).flip(1).flip(1).flip(2)
triview_color5 = torch.rot90(triview_color[3],k=1,dims=[1,2]).flip(1).flip(2)
if fix == True:
triview_color0[1] = triview_color0[1] * 0
triview_color0[2] = triview_color0[2] * 0
triview_color3[1] = triview_color3[1] * 0
triview_color3[2] = triview_color3[2] * 0
triview_color1[0] = triview_color1[0] * 0
triview_color1[1] = triview_color1[1] * 0
triview_color4[0] = triview_color4[0] * 0
triview_color4[1] = triview_color4[1] * 0
triview_color2[0] = triview_color2[0] * 0
triview_color2[2] = triview_color2[2] * 0
triview_color5[0] = triview_color5[0] * 0
triview_color5[2] = triview_color5[2] * 0
color_tensor1_gt = torch.cat((triview_color0, triview_color1, triview_color2), dim=2)
color_tensor2_gt = torch.cat((triview_color3, triview_color4, triview_color5), dim=2)
color_tensor_gt = torch.cat((color_tensor1_gt, color_tensor2_gt), dim = dim)
return color_tensor_gt
+8 -1
View File
@@ -15,6 +15,8 @@ from diffusers.configuration_utils import FrozenDict
from diffusers.schedulers import DDIMScheduler
from diffusers.utils.torch_utils import randn_tensor
import comfy.utils
from lgm.mvdream.mv_unet import MultiViewUNetModel, get_camera
logger = logging.get_logger(__name__) # pylint: disable=invalid-name
@@ -500,7 +502,10 @@ class MVDreamPipeline(DiffusionPipeline):
extra_step_kwargs = self.prepare_extra_step_kwargs(generator, eta)
# Denoising loop
num_warmup_steps = len(timesteps) - num_inference_steps * self.scheduler.order
timesteps_len = len(timesteps)
comfy_pbar = comfy.utils.ProgressBar(timesteps_len)
num_warmup_steps = timesteps_len - num_inference_steps * self.scheduler.order
with self.progress_bar(total=num_inference_steps) as progress_bar:
for i, t in enumerate(timesteps):
# expand the latents if we are doing classifier free guidance
@@ -542,6 +547,8 @@ class MVDreamPipeline(DiffusionPipeline):
progress_bar.update()
if callback is not None and i % callback_steps == 0:
callback(i, t, latents) # type: ignore
comfy_pbar.update_absolute(i + 1)
# Post-processing
if output_type == "latent":
@@ -33,6 +33,8 @@ from diffusers.pipelines.stable_diffusion import StableDiffusionPipelineOutput
from diffusers.pipelines.stable_diffusion.safety_checker import StableDiffusionSafetyChecker
from einops import rearrange, repeat
import comfy.utils
logger = logging.get_logger(__name__) # pylint: disable=invalid-name
@@ -459,7 +461,10 @@ class MVDiffusionImagePipeline(DiffusionPipeline):
extra_step_kwargs = self.prepare_extra_step_kwargs(generator, eta)
# 7. Denoising loop
num_warmup_steps = len(timesteps) - num_inference_steps * self.scheduler.order
timesteps_len = len(timesteps)
comfy_pbar = comfy.utils.ProgressBar(timesteps_len)
num_warmup_steps = timesteps_len - num_inference_steps * self.scheduler.order
with self.progress_bar(total=num_inference_steps) as progress_bar:
for i, t in enumerate(timesteps):
# expand the latents if we are doing classifier free guidance
@@ -485,6 +490,8 @@ class MVDiffusionImagePipeline(DiffusionPipeline):
progress_bar.update()
if callback is not None and i % callback_steps == 0:
callback(i, t, latents)
comfy_pbar.update_absolute(i + 1)
if not output_type == "latent":
if num_channels_latents == 8:
+287 -15
View File
@@ -6,6 +6,8 @@ import copy
from enum import Enum
from collections import OrderedDict
import folder_paths as comfy_paths
from omegaconf import OmegaConf
import json
import torch
from torch.utils.data import DataLoader
@@ -33,6 +35,7 @@ from .algorithms.triplane_gaussian_transformers import TGS
from .algorithms.large_multiview_gaussian_model import LGM
from .algorithms.nerf_marching_cubes_converter import GSConverterNeRFMarchingCubes
from .algorithms.NeuS_runner import NeuSParams, NeuSRunner
from .algorithms.convolutional_reconstruction_model import CRMSampler
from .tgs.utils.config import ExperimentConfig, load_config as load_config_tgs
from .tgs.data import CustomImageOrbitDataset
from .tgs.utils.misc import todevice, get_device
@@ -41,9 +44,10 @@ from .lgm.mvdream.pipeline_mvdream import MVDreamPipeline
from .mvdiffusion.pipelines.pipeline_mvdiffusion_image import MVDiffusionImagePipeline
from .mvdiffusion.data.single_image_dataset import SingleImageDataset
from .mvdiffusion.utils.misc import load_config as load_config_wonder3d
from tsr.system import TSR
from .tsr.system import TSR
from .crm.model.crm.model import CRM
from .shared_utils.image_utils import prepare_torch_img
from .shared_utils.image_utils import prepare_torch_img, torch_img_to_pil_rgba
from .shared_utils.common_utils import cstr, parse_save_filename, get_list_filenames
DIFFUSERS_PIPE_DICT = OrderedDict([
@@ -1061,8 +1065,8 @@ class Load_Triplane_Gaussian_Transformers:
cstr(f"[{self.__class__.__name__}] can't find checkpoint {ckpt_path}, will download it from repo {self.default_repo_id} instead").warning.print()
from huggingface_hub import hf_hub_download
hf_hub_download(repo_id=self.default_repo_id, local_dir=self.checkpoints_dir_abs, filename=self.default_ckpt_name, repo_type="model")
ckpt_path = os.path.join(self.checkpoints_dir_abs, self.default_ckpt_name)
hf_hub_download(repo_id=self.default_repo_id, local_dir=self.checkpoints_dir_abs, filename=model_name, repo_type="model")
ckpt_path = os.path.join(self.checkpoints_dir_abs, model_name)
cfg.system.weights=ckpt_path
tgs_model = TGS(cfg=cfg.system).to(device)
@@ -1222,7 +1226,7 @@ class Wonder3D_MVDiffusion_Model:
config_path = os.path.join(ROOT_PATH, self.wonder3d_config_path)
cfg = load_config_wonder3d(config_path)
batch = self.prepare_data(reference_image[0], reference_mask[0].unsqueeze(2))
batch = self.prepare_data(reference_image, reference_mask)
mvdiffusion_pipe.set_progress_bar_config(disable=True)
seed = int(seed)
@@ -1261,8 +1265,7 @@ class Wonder3D_MVDiffusion_Model:
return (mv_images, mv_normals, )
def prepare_data(self, ref_image, ref_mask):
single_image = torch.cat((ref_image, ref_mask), dim=2).detach().cpu().numpy()
single_image = Image.fromarray((single_image * 255).astype(np.uint8), mode="RGBA")
single_image = torch_img_to_pil_rgba(ref_image, ref_mask)
abs_fix_cam_pose_dir = os.path.join(ROOT_PATH, self.fix_cam_pose_dir)
dataset = SingleImageDataset(fix_cam_pose_dir=abs_fix_cam_pose_dir, num_views=6, img_wh=[256, 256], bg_color='white', single_image=single_image)
return dataset[0]
@@ -1368,8 +1371,8 @@ class Load_Large_Multiview_Gaussian_Model:
cstr(f"[{self.__class__.__name__}] can't find checkpoint {ckpt_path}, will download it from repo {self.default_repo_id} instead").warning.print()
from huggingface_hub import hf_hub_download
hf_hub_download(repo_id=self.default_repo_id, local_dir=self.checkpoints_dir_abs, filename=self.default_ckpt_name, repo_type="model")
ckpt_path = os.path.join(self.checkpoints_dir_abs, self.default_ckpt_name)
hf_hub_download(repo_id=self.default_repo_id, local_dir=self.checkpoints_dir_abs, filename=model_name, repo_type="model")
ckpt_path = os.path.join(self.checkpoints_dir_abs, model_name)
if ckpt_path.endswith('safetensors'):
ckpt = load_file(ckpt_path, device='cpu')
@@ -1377,13 +1380,14 @@ class Load_Large_Multiview_Gaussian_Model:
ckpt = torch.load(ckpt_path, map_location='cpu')
lgm_model.load_state_dict(ckpt, strict=False)
cstr(f"[{self.__class__.__name__}] loaded model ckpt from {ckpt_path}").msg.print()
# device
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
lgm_model = lgm_model.half().to(device)
lgm_model.eval()
cstr(f"[{self.__class__.__name__}] loaded model ckpt from {ckpt_path}").msg.print()
return (lgm_model, )
IMAGENET_DEFAULT_MEAN = (0.485, 0.456, 0.406)
@@ -1597,18 +1601,19 @@ class Load_TripoSR_Model:
cstr(f"[{self.__class__.__name__}] can't find checkpoint {ckpt_path}, will download it from repo {self.default_repo_id} instead").warning.print()
from huggingface_hub import hf_hub_download
hf_hub_download(repo_id=self.default_repo_id, local_dir=self.checkpoints_dir_abs, filename=self.default_ckpt_name, repo_type="model")
ckpt_path = os.path.join(self.checkpoints_dir_abs, self.default_ckpt_name)
hf_hub_download(repo_id=self.default_repo_id, local_dir=self.checkpoints_dir_abs, filename=model_name, repo_type="model")
ckpt_path = os.path.join(self.checkpoints_dir_abs, model_name)
tsr_model = TSR.from_pretrained_custom(
tsr_model = TSR.from_pretrained(
weight_path = ckpt_path,
config_path = os.path.join(ROOT_PATH, self.tsr_config_path)
)
cstr(f"[{self.__class__.__name__}] loaded model ckpt from {ckpt_path}").msg.print()
tsr_model.renderer.set_chunk_size(chunk_size)
tsr_model.to(device)
cstr(f"[{self.__class__.__name__}] loaded model ckpt from {ckpt_path}").msg.print()
return (tsr_model, )
class TripoSR:
@@ -1661,4 +1666,271 @@ class TripoSR:
image = np.array(image).astype(np.float32) / 255.0
image = image[:, :, :3] * image[:, :, 3:4] + (1 - image[:, :, 3:4]) * 0.5
image = Image.fromarray((image * 255.0).astype(np.uint8))
return image
return image
class Load_CRM_MVDiffusion_Model:
checkpoints_dir = "checkpoints/crm"
default_ckpt_name = ["pixel-diffusion.pth", "ccm-diffusion.pth"]
default_conf_name = ["configs/crm_configs/sd_v2_base_ipmv_zero_SNR.yaml", "configs/crm_configs/sd_v2_base_ipmv_chin8_zero_snr.yaml"]
default_repo_id = "Zhengyi/CRM"
@classmethod
def INPUT_TYPES(cls):
cls.checkpoints_dir_abs = os.path.join(ROOT_PATH, cls.checkpoints_dir)
all_models_names = get_list_filenames(cls.checkpoints_dir_abs, SUPPORTED_CHECKPOINTS_EXTENSIONS)
for ckpt_name in cls.default_ckpt_name:
if ckpt_name not in all_models_names:
all_models_names += [ckpt_name]
return {
"required": {
"model_name": (all_models_names, ),
"crm_config_path": (cls.default_conf_name, ),
},
}
RETURN_TYPES = (
"CRM_MVDIFFUSION_SAMPLER",
)
RETURN_NAMES = (
"crm_mvdiffusion_sampler",
)
FUNCTION = "load_CRM"
CATEGORY = "Comfy3D/Import|Export"
def load_CRM(self, model_name, crm_config_path):
from .crm.imagedream.ldm.util import (
instantiate_from_config,
get_obj_from_str,
)
if not os.path.isabs(crm_config_path):
crm_config_path = os.path.join(ROOT_PATH, crm_config_path)
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
# resume pretrained checkpoint
ckpt_path = os.path.join(self.checkpoints_dir_abs, model_name)
if not os.path.isfile(ckpt_path):
cstr(f"[{self.__class__.__name__}] can't find checkpoint {ckpt_path}, will download it from repo {self.default_repo_id} instead").warning.print()
from huggingface_hub import hf_hub_download
hf_hub_download(repo_id=self.default_repo_id, local_dir=self.checkpoints_dir_abs, filename=model_name, repo_type="model")
ckpt_path = os.path.join(self.checkpoints_dir_abs, model_name)
crm_config = OmegaConf.load(crm_config_path)
crm_mvdiffusion_model = instantiate_from_config(crm_config.model)
crm_mvdiffusion_model.load_state_dict(torch.load(ckpt_path, map_location="cpu"), strict=False)
crm_mvdiffusion_model = crm_mvdiffusion_model.to(device).to(WEIGHT_DTYPE)
crm_mvdiffusion_model.device = device
crm_mvdiffusion_sampler = get_obj_from_str(crm_config.sampler.target)(
crm_mvdiffusion_model, device=device, dtype=WEIGHT_DTYPE, **crm_config.sampler.params
)
cstr(f"[{self.__class__.__name__}] loaded model ckpt from {ckpt_path}").msg.print()
return (crm_mvdiffusion_sampler, )
class CRM_Images_MVDiffusion_Model:
@classmethod
def INPUT_TYPES(cls):
return {
"required": {
"crm_mvdiffusion_sampler": ("CRM_MVDIFFUSION_SAMPLER",),
"reference_image": ("IMAGE",),
"reference_mask": ("MASK",),
"prompt": ("STRING", {
"default": "3D assets",
"multiline": True
}),
"prompt_neg": ("STRING", {
"default": "uniform low no texture ugly, boring, bad anatomy, blurry, pixelated, obscure, unnatural colors, poor lighting, dull, and unclear.",
"multiline": True
}),
"seed": ("INT", {"default": 1234, "min": 0, "max": 0xffffffffffffffff}),
"mv_guidance_scale": ("FLOAT", {"default": 5.5, "min": 0.0, "step": 0.01}),
"num_inference_steps": ("INT", {"default": 50, "min": 1}),
},
}
RETURN_TYPES = (
"IMAGE",
)
RETURN_NAMES = (
"multiview_images",
)
FUNCTION = "run_model"
CATEGORY = "Comfy3D/Algorithm"
def run_model(
self,
crm_mvdiffusion_sampler,
reference_image, # [1, H, W, 3]
reference_mask, # [1, H, W]
prompt,
prompt_neg,
seed,
mv_guidance_scale,
num_inference_steps,
):
pixel_img = torch_img_to_pil_rgba(reference_image, reference_mask)
pixel_img = CRMSampler.process_pixel_img(pixel_img)
multiview_images = CRMSampler.stage1_sample(
crm_mvdiffusion_sampler,
pixel_img,
prompt,
prompt_neg,
seed,
mv_guidance_scale,
num_inference_steps
)
return (multiview_images, )
class CRM_CCMs_MVDiffusion_Model:
@classmethod
def INPUT_TYPES(cls):
return {
"required": {
"crm_mvdiffusion_sampler": ("CRM_MVDIFFUSION_SAMPLER",),
"reference_image": ("IMAGE",),
"reference_mask": ("MASK",),
"multiview_images": ("IMAGE",),
"prompt": ("STRING", {
"default": "3D assets",
"multiline": True
}),
"prompt_neg": ("STRING", {
"default": "uniform low no texture ugly, boring, bad anatomy, blurry, pixelated, obscure, unnatural colors, poor lighting, dull, and unclear.",
"multiline": True
}),
"seed": ("INT", {"default": 1234, "min": 0, "max": 0xffffffffffffffff}),
"mv_guidance_scale": ("FLOAT", {"default": 5.5, "min": 0.0, "step": 0.01}),
"num_inference_steps": ("INT", {"default": 50, "min": 1}),
},
}
RETURN_TYPES = (
"IMAGE",
)
RETURN_NAMES = (
"multiview_CCMs",
)
FUNCTION = "run_model"
CATEGORY = "Comfy3D/Algorithm"
def run_model(
self,
crm_mvdiffusion_sampler,
reference_image, # [1, H, W, 3]
reference_mask, # [1, H, W]
multiview_images, # [6, H, W, 3]
prompt,
prompt_neg,
seed,
mv_guidance_scale,
num_inference_steps,
):
pixel_img = torch_img_to_pil_rgba(reference_image, reference_mask)
pixel_img = CRMSampler.process_pixel_img(pixel_img)
multiview_CCMs = CRMSampler.stage2_sample(
crm_mvdiffusion_sampler,
pixel_img,
multiview_images,
prompt,
prompt_neg,
seed,
mv_guidance_scale,
num_inference_steps
)
return(multiview_CCMs, )
class Load_Convolutional_Reconstruction_Model:
checkpoints_dir = "checkpoints/crm"
default_ckpt_name = "CRM.pth"
default_repo_id = "Zhengyi/CRM"
crm_config_path = "configs/crm_configs/specs_objaverse_total.json"
@classmethod
def INPUT_TYPES(cls):
cls.checkpoints_dir_abs = os.path.join(ROOT_PATH, cls.checkpoints_dir)
all_models_names = get_list_filenames(cls.checkpoints_dir_abs, SUPPORTED_CHECKPOINTS_EXTENSIONS)
if cls.default_ckpt_name not in all_models_names:
all_models_names += [cls.default_ckpt_name]
return {
"required": {
"model_name": (all_models_names, ),
},
}
RETURN_TYPES = (
"CRM_MODEL",
)
RETURN_NAMES = (
"crm_model",
)
FUNCTION = "load_CRM"
CATEGORY = "Comfy3D/Import|Export"
def load_CRM(self, model_name):
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
# resume pretrained checkpoint
ckpt_path = os.path.join(self.checkpoints_dir_abs, model_name)
if not os.path.isfile(ckpt_path):
cstr(f"[{self.__class__.__name__}] can't find checkpoint {ckpt_path}, will download it from repo {self.default_repo_id} instead").warning.print()
from huggingface_hub import hf_hub_download
hf_hub_download(repo_id=self.default_repo_id, local_dir=self.checkpoints_dir_abs, filename=model_name, repo_type="model")
ckpt_path = os.path.join(self.checkpoints_dir_abs, model_name)
crm_conf = json.load(open(os.path.join(ROOT_PATH, self.crm_config_path)))
crm_model = CRM(crm_conf).to(device)
crm_model.load_state_dict(torch.load(ckpt_path, map_location="cpu"), strict=False)
cstr(f"[{self.__class__.__name__}] loaded model ckpt from {ckpt_path}").msg.print()
return (crm_model, )
class Convolutional_Reconstruction_Model:
@classmethod
def INPUT_TYPES(s):
return {
"required": {
"crm_model": ("CRM_MODEL", ),
"multiview_images": ("IMAGE",),
"multiview_CCMs": ("IMAGE",),
}
}
RETURN_TYPES = (
"MESH",
)
RETURN_NAMES = (
"mesh",
)
FUNCTION = "run_CRM"
CATEGORY = "Comfy3D/Algorithm"
@torch.no_grad()
def run_CRM(self, crm_model, multiview_images, multiview_CCMs):
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
np_imgs = np.concatenate(multiview_images.cpu().numpy(), 1) # (256, 256*6==1536, 3)
np_xyzs = np.concatenate(multiview_CCMs.cpu().numpy(), 1) # (256, 1536, 3)
mesh = CRMSampler.generate3d(crm_model, np_imgs, np_xyzs, device)
return (mesh,)
+17 -1
View File
@@ -1,6 +1,7 @@
import torch
import torch.nn.functional as F
import numpy as np
from PIL import Image
def prepare_torch_img(img, size_H, size_W, device="cuda", keep_shape=False):
# [N, H, W, C] -> [N, C, H, W]
@@ -8,4 +9,19 @@ def prepare_torch_img(img, size_H, size_W, device="cuda", keep_shape=False):
img_new = F.interpolate(img_new, (size_H, size_W), mode="bilinear", align_corners=False).contiguous()
if keep_shape:
img_new = img_new.permute(0, 2, 3, 1)
return img_new
return img_new
def torch_img_to_pil_rgba(img, mask):
"""
img (torch): [1, H, W, C] or [H, W, C]
mask (torch): [1, H, W] or [H, W]
"""
if len(img.shape) == 4:
img = img.squeeze(0)
if len(mask.shape) == 3:
mask = mask.squeeze(0).unsqueeze(2)
single_image = torch.cat((img, mask), dim=2).detach().cpu().numpy()
single_image = Image.fromarray((single_image * 255).astype(np.uint8), mode="RGBA")
return single_image
+1 -23
View File
@@ -47,31 +47,9 @@ class TSR(BaseModule):
renderer: dict
cfg: Config
@classmethod
def from_pretrained(
cls, pretrained_model_name_or_path: str, config_name: str, weight_name: str
):
if os.path.isdir(pretrained_model_name_or_path):
config_path = os.path.join(pretrained_model_name_or_path, config_name)
weight_path = os.path.join(pretrained_model_name_or_path, weight_name)
else:
config_path = hf_hub_download(
repo_id=pretrained_model_name_or_path, filename=config_name
)
weight_path = hf_hub_download(
repo_id=pretrained_model_name_or_path, filename=weight_name
)
cfg = OmegaConf.load(config_path)
OmegaConf.resolve(cfg)
model = cls(cfg)
ckpt = torch.load(weight_path, map_location="cpu")
model.load_state_dict(ckpt)
return model
@classmethod
def from_pretrained_custom(
def from_pretrained(
cls, weight_path: str, config_path: str
):
cfg = OmegaConf.load(config_path)