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import importlib.metadata
import torch
import logging
import math
from tqdm import tqdm
from pathlib import Path
import os
import types, collections
from comfy.utils import ProgressBar, copy_to_param, set_attr_param
from comfy.model_patcher import get_key_weight, string_to_seed
from comfy.lora import calculate_weight
from comfy.model_management import cast_to_device
from comfy.float import stochastic_rounding
import folder_paths
logging.basicConfig(level=logging.INFO, format='%(asctime)s - %(levelname)s - %(message)s')
log = logging.getLogger(__name__)
def check_device_same(first_device, second_device):
if first_device.type != second_device.type:
return False
if first_device.type == "cuda" and first_device.index is None:
first_device = torch.device("cuda", index=0)
if second_device.type == "cuda" and second_device.index is None:
second_device = torch.device("cuda", index=0)
return first_device == second_device
# simplified version of the accelerate function https://github.com/huggingface/accelerate/blob/main/src/accelerate/utils/modeling.py
def set_module_tensor_to_device(module, tensor_name, device, value=None, dtype=None):
"""
A helper function to set a given tensor (parameter of buffer) of a module on a specific device (note that doing
`param.to(device)` creates a new tensor not linked to the parameter, which is why we need this function).
Args:
module (`torch.nn.Module`):
The module in which the tensor we want to move lives.
tensor_name (`str`):
The full name of the parameter/buffer.
device (`int`, `str` or `torch.device`):
The device on which to set the tensor.
value (`torch.Tensor`, *optional*):
The value of the tensor (useful when going from the meta device to any other device).
dtype (`torch.dtype`, *optional*):
If passed along the value of the parameter will be cast to this `dtype`. Otherwise, `value` will be cast to
the dtype of the existing parameter in the model.
"""
# Recurse if needed
if "." in tensor_name:
splits = tensor_name.split(".")
for split in splits[:-1]:
new_module = getattr(module, split)
if new_module is None:
raise ValueError(f"{module} has no attribute {split}.")
module = new_module
tensor_name = splits[-1]
if tensor_name not in module._parameters and tensor_name not in module._buffers:
raise ValueError(f"{module} does not have a parameter or a buffer named {tensor_name}.")
is_buffer = tensor_name in module._buffers
old_value = getattr(module, tensor_name)
if old_value.device == torch.device("meta") and device not in ["meta", torch.device("meta")] and value is None:
raise ValueError(f"{tensor_name} is on the meta device, we need a `value` to put in on {device}.")
param = module._parameters[tensor_name] if tensor_name in module._parameters else None
param_cls = type(param)
if value is not None:
if dtype is None:
value = value.to(old_value.dtype)
elif not str(value.dtype).startswith(("torch.uint", "torch.int", "torch.bool")):
value = value.to(dtype)
device_quantization = None
with torch.no_grad():
if value is None:
new_value = old_value.to(device)
if dtype is not None and device in ["meta", torch.device("meta")]:
if not str(old_value.dtype).startswith(("torch.uint", "torch.int", "torch.bool")):
new_value = new_value.to(dtype)
if not is_buffer:
module._parameters[tensor_name] = param_cls(new_value, requires_grad=old_value.requires_grad)
elif isinstance(value, torch.Tensor):
new_value = value.to(device)
else:
new_value = torch.tensor(value, device=device)
if device_quantization is not None:
device = device_quantization
if is_buffer:
module._buffers[tensor_name] = new_value
elif value is not None or not check_device_same(torch.device(device), module._parameters[tensor_name].device):
param_cls = type(module._parameters[tensor_name])
new_value = param_cls(new_value, requires_grad=False).to(device)
module._parameters[tensor_name] = new_value
#if device != "cpu":
# mm.soft_empty_cache()
def check_diffusers_version():
try:
version = importlib.metadata.version('diffusers')
required_version = '0.31.0'
if version < required_version:
raise AssertionError(f"diffusers version {version} is installed, but version {required_version} or higher is required.")
except importlib.metadata.PackageNotFoundError:
raise AssertionError("diffusers is not installed.")
def print_memory(device):
memory = torch.cuda.memory_allocated(device) / 1024**3
max_memory = torch.cuda.max_memory_allocated(device) / 1024**3
max_reserved = torch.cuda.max_memory_reserved(device) / 1024**3
log.info(f"Allocated memory: {memory=:.3f} GB")
log.info(f"Max allocated memory: {max_memory=:.3f} GB")
log.info(f"Max reserved memory: {max_reserved=:.3f} GB")
#memory_summary = torch.cuda.memory_summary(device=device, abbreviated=False)
#log.info(f"Memory Summary:\n{memory_summary}")
def get_module_memory_mb(module):
memory = 0
for param in module.parameters():
if param.data is not None:
memory += param.nelement() * param.element_size()
return memory / (1024 * 1024) # Convert to MB
def get_tensor_memory(tensor):
memory_bytes = tensor.element_size() * tensor.nelement()
return f"{memory_bytes / (1024 * 1024):.2f} MB"
def patch_weight_to_device(self, key, device_to=None, inplace_update=False, backup_keys=False, scale_weight=None):
if key not in self.patches:
return
weight, set_func, convert_func = get_key_weight(self.model, key)
inplace_update = self.weight_inplace_update or inplace_update
if backup_keys and key not in self.backup:
self.backup[key] = collections.namedtuple('Dimension', ['weight', 'inplace_update'])(weight.to(device=self.offload_device, copy=inplace_update), inplace_update)
if device_to is not None:
temp_weight = cast_to_device(weight, device_to, torch.float32, copy=True)
else:
temp_weight = weight.to(torch.float32, copy=True)
if convert_func is not None:
temp_weight = convert_func(temp_weight, inplace=True)
if scale_weight is not None:
temp_weight = temp_weight * scale_weight.to(temp_weight.device, temp_weight.dtype)
out_weight = calculate_weight(self.patches[key], temp_weight, key)
if set_func is None:
out_weight = stochastic_rounding(out_weight, weight.dtype, seed=string_to_seed(key))
if inplace_update:
copy_to_param(self.model, key, out_weight)
else:
set_attr_param(self.model, key, out_weight)
else:
set_func(out_weight, inplace_update=inplace_update, seed=string_to_seed(key))
def apply_lora(model, device_to, transformer_load_device, params_to_keep=None, dtype=None, base_dtype=None, state_dict=None, low_mem_load=False, control_lora=False, scale_weights={}):
model.patch_weight_to_device = types.MethodType(patch_weight_to_device, model)
to_load = []
for n, m in model.model.named_modules():
params = []
skip = False
for name, param in m.named_parameters(recurse=False):
params.append(name)
for name, param in m.named_parameters(recurse=True):
if name not in params:
skip = True # skip random weights in non leaf modules
break
if not skip and (hasattr(m, "comfy_cast_weights") or len(params) > 0):
to_load.append((n, m, params))
to_load.sort(reverse=True)
cnt = 0
pbar = ProgressBar(len(to_load))
for x in tqdm(to_load, desc="Loading model and applying LoRA weights:", leave=True):
name = x[0]
m = x[1]
params = x[2]
if hasattr(m, "comfy_patched_weights"):
if m.comfy_patched_weights == True:
continue
for param in params:
name = name.replace("._orig_mod.", ".") # torch compiled modules have this prefix
if low_mem_load:
dtype_to_use = base_dtype if any(keyword in name for keyword in params_to_keep) else dtype
if "patch_embedding" in name:
dtype_to_use = torch.float32
key = f"{name.replace('diffusion_model.', '')}.{param}"
try:
set_module_tensor_to_device(model.model.diffusion_model, key, device=transformer_load_device, dtype=dtype_to_use, value=state_dict[key])
except:
continue
key = f"{name}.{param}"
if scale_weights is not None:
scale_key = key.replace("weight", "scale_weight").replace("diffusion_model.", "") if "weight" in key else None
if low_mem_load:
model.patch_weight_to_device(f"{name}.{param}", device_to=device_to, inplace_update=True, backup_keys=control_lora, scale_weight=scale_weights.get(scale_key, None))
else:
model.patch_weight_to_device(f"{name}.{param}", device_to=device_to, backup_keys=control_lora, scale_weight=scale_weights.get(scale_key, None))
if device_to != transformer_load_device:
set_module_tensor_to_device(m, param, device=transformer_load_device)
if low_mem_load:
try:
set_module_tensor_to_device(model.model.diffusion_model, key, device=transformer_load_device, dtype=dtype_to_use, value=model.model.diffusion_model.state_dict()[key])
except:
continue
m.comfy_patched_weights = True
cnt += 1
if cnt % 100 == 0:
pbar.update(100)
# After LoRA patching, scale weights that have scale_weight but are NOT LoRA patched
if len(scale_weights) > 0 and not getattr(model, "scale_weights_applied", False):
for name, param in model.model.diffusion_model.named_parameters():
scale_key = name.replace("weight", "scale_weight").replace("diffusion_model.", "") if "weight" in name else None
full_param_name = f"diffusion_model.{name}"
if scale_key and scale_key in scale_weights and full_param_name not in model.patches:
scale = scale_weights[scale_key]
param_fp32 = param.to(torch.float32)
param_fp32.mul_(scale.to(param.device, torch.float32))
param.copy_(param_fp32.to(param.dtype))
model.scale_weights_applied = True
model.current_weight_patches_uuid = model.patches_uuid
if low_mem_load:
for name, param in model.model.diffusion_model.named_parameters():
if param.device != transformer_load_device:
dtype_to_use = base_dtype if any(keyword in name for keyword in params_to_keep) else dtype
if "patch_embedding" in name:
dtype_to_use = torch.float32
try:
set_module_tensor_to_device(model.model.diffusion_model, name, device=transformer_load_device, dtype=dtype_to_use, value=state_dict[name])
except:
continue
return model
# from https://github.com/cubiq/ComfyUI_IPAdapter_plus/blob/9d076a3df0d2763cef5510ec5ab807f6632c39f5/utils.py#L181
def split_tiles(embeds, num_split):
_, H, W, _ = embeds.shape
out = []
for x in embeds:
x = x.unsqueeze(0)
h, w = H // num_split, W // num_split
x_split = torch.cat([x[:, i*h:(i+1)*h, j*w:(j+1)*w, :] for i in range(num_split) for j in range(num_split)], dim=0)
out.append(x_split)
x_split = torch.stack(out, dim=0)
return x_split
def merge_hiddenstates(x, tiles):
chunk_size = tiles*tiles
x = x.split(chunk_size)
out = []
for embeds in x:
num_tiles = embeds.shape[0]
tile_size = int((embeds.shape[1]-1) ** 0.5)
grid_size = int(num_tiles ** 0.5)
# Extract class tokens
class_tokens = embeds[:, 0, :] # Save class tokens: [num_tiles, embeds[-1]]
avg_class_token = class_tokens.mean(dim=0, keepdim=True).unsqueeze(0) # Average token, shape: [1, 1, embeds[-1]]
patch_embeds = embeds[:, 1:, :] # Shape: [num_tiles, tile_size^2, embeds[-1]]
reshaped = patch_embeds.reshape(grid_size, grid_size, tile_size, tile_size, embeds.shape[-1])
merged = torch.cat([torch.cat([reshaped[i, j] for j in range(grid_size)], dim=1)
for i in range(grid_size)], dim=0)
merged = merged.unsqueeze(0) # Shape: [1, grid_size*tile_size, grid_size*tile_size, embeds[-1]]
# Pool to original size
pooled = torch.nn.functional.adaptive_avg_pool2d(merged.permute(0, 3, 1, 2), (tile_size, tile_size)).permute(0, 2, 3, 1)
flattened = pooled.reshape(1, tile_size*tile_size, embeds.shape[-1])
# Add back the class token
with_class = torch.cat([avg_class_token, flattened], dim=1) # Shape: original shape
out.append(with_class)
out = torch.cat(out, dim=0)
return out
from comfy.clip_vision import clip_preprocess, ClipVisionModel
def clip_encode_image_tiled(clip_vision, image, tiles=1, ratio=1.0):
embeds = encode_image_(clip_vision, image)
tiles = min(tiles, 16)
if tiles > 1:
# split in tiles
image_split = split_tiles(image, tiles)
# get the embeds for each tile
embeds_split = {}
for i in image_split:
encoded = encode_image_(clip_vision, i)
if not hasattr(embeds_split, "last_hidden_state"):
embeds_split["last_hidden_state"] = encoded
else:
embeds_split["last_hidden_state"] = torch.cat(embeds_split["last_hidden_state"], encoded, dim=0)
embeds_split['last_hidden_state'] = merge_hiddenstates(embeds_split['last_hidden_state'], tiles)
if embeds.shape[0] > 1: # if we have more than one image we need to average the embeddings for consistency
embeds = embeds * ratio + embeds_split['last_hidden_state']*(1-ratio)
else: # otherwise we can concatenate them, they can be averaged later
embeds = torch.cat([embeds * ratio, embeds_split['last_hidden_state']])
return embeds
def encode_image_(clip_vision, image):
if isinstance(clip_vision, ClipVisionModel):
out = clip_vision.encode_image(image).last_hidden_state
else:
pixel_values = clip_preprocess(image, size=224, crop=True).float()
out = clip_vision.visual(pixel_values)
return out
# Code based on https://github.com/WikiChao/FreSca (MIT License)
import torch
import torch.fft as fft
def fourier_filter(x, scale_low=1.0, scale_high=1.5, freq_cutoff=20):
"""
Apply frequency-dependent scaling to an image tensor using Fourier transforms.
Parameters:
x: Input tensor of shape (B, C, H, W)
scale_low: Scaling factor for low-frequency components (default: 1.0)
scale_high: Scaling factor for high-frequency components (default: 1.5)
freq_cutoff: Number of frequency indices around center to consider as low-frequency (default: 20)
Returns:
x_filtered: Filtered version of x in spatial domain with frequency-specific scaling applied.
"""
# Preserve input dtype and device
dtype, device = x.dtype, x.device
# Convert to float32 for FFT computations
x = x.to(torch.float32)
# 1) Apply FFT and shift low frequencies to center
x_freq = fft.fftn(x, dim=(-2, -1))
x_freq = fft.fftshift(x_freq, dim=(-2, -1))
# 2) Create a mask to scale frequencies differently
C, B, H, W = x_freq.shape
crow, ccol = H // 2, W // 2
# Initialize mask with high-frequency scaling factor
mask = torch.ones((C, B, H, W), device=device) * scale_high
# Apply low-frequency scaling factor to center region
mask[
...,
crow - freq_cutoff : crow + freq_cutoff,
ccol - freq_cutoff : ccol + freq_cutoff,
] = scale_low
# 3) Apply frequency-specific scaling
x_freq = x_freq * mask
# 4) Convert back to spatial domain
x_freq = fft.ifftshift(x_freq, dim=(-2, -1))
x_filtered = fft.ifftn(x_freq, dim=(-2, -1)).real
# 5) Restore original dtype
x_filtered = x_filtered.to(dtype)
return x_filtered
def is_image_black(image, threshold=1e-3):
if image.min() < 0:
image = (image + 1) / 2
return torch.all(image < threshold).item()
def add_noise_to_reference_video(image, ratio=None):
sigma = torch.ones((image.shape[0],)).to(image.device, image.dtype) * ratio
image_noise = torch.randn_like(image) * sigma[:, None, None, None]
image_noise = torch.where(image==-1, torch.zeros_like(image), image_noise)
image = image + image_noise
return image
def optimized_scale(positive_flat, negative_flat):
# Calculate dot production
dot_product = torch.sum(positive_flat * negative_flat, dim=1, keepdim=True)
# Squared norm of uncondition
squared_norm = torch.sum(negative_flat ** 2, dim=1, keepdim=True) + 1e-8
# st_star = v_cond^T * v_uncond / ||v_uncond||^2
st_star = dot_product / squared_norm
return st_star
def find_closest_valid_dim(fixed_dim, var_dim, block_size):
for delta in range(1, 17):
for sign in [-1, 1]:
candidate = var_dim + sign * delta
if candidate > 0 and ((fixed_dim * candidate) // 4) % block_size == 0:
return candidate
return var_dim
# Radial attention setup
def setup_radial_attention(transformer, transformer_options, latent, seq_len, latent_video_length, context_options=None):
if context_options is not None:
context_frames = (context_options["context_frames"] - 1) // 4 + 1
dense_timesteps = transformer_options.get("dense_timesteps", 1)
dense_blocks = transformer_options.get("dense_blocks", 1)
dense_vace_blocks = transformer_options.get("dense_vace_blocks", 1)
decay_factor = transformer_options.get("decay_factor", 0.2)
dense_attention_mode = transformer_options.get("dense_attention_mode", "sageattn")
block_size = transformer_options.get("block_size", 128)
# Calculate closest valid latent sizes
if latent.shape[2] % (block_size/8) != 0 or latent.shape[3] % (block_size/8) != 0:
block_div = int(block_size // 8)
closest_h = round(latent.shape[2] / block_div) * block_div
closest_w = round(latent.shape[3] / block_div) * block_div
raise Exception(
f"Radial attention mode only supports image size divisible by block size. "
f"Got {latent.shape[3] * 8}x{latent.shape[2] * 8} with block size {block_size}.\n"
f"Closest valid sizes: {closest_w * 8}x{closest_h * 8} (width x height in pixels)."
)
tokens_per_frame = (latent.shape[2] * latent.shape[3]) // 4
if tokens_per_frame % block_size != 0:
closest_latent_h = find_closest_valid_dim(latent.shape[3], latent.shape[2], block_size)
closest_latent_w = find_closest_valid_dim(latent.shape[2], latent.shape[3], block_size)
raise Exception(
f"Radial attention mode requires tokens per frame ((latent_h * latent_w) // 4) to be divisible by block size ({block_size}).\n"
f"Current size in latent space:{latent.shape[3]}x{latent.shape[2]}, pixel space: {latent.shape[3]*8}x{latent.shape[2]*8} tokens_per_frame={tokens_per_frame}.\n"
f"Try adjusting to one of these latent sizes (in pixels):\n"
f" Height: {latent.shape[2]*8} -> {closest_latent_h * 8}\n"
f" Width: {latent.shape[3]*8} -> {closest_latent_w * 8}\n"
f"Or choose another resolution so that (latent_h * latent_w) // 4 is divisible by {block_size}."
)
from .wanvideo.radial_attention.attn_mask import MaskMap
for i, block in enumerate(transformer.blocks):
block.self_attn.mask_map = block.dense_attention_mode = block.dense_timesteps = block.self_attn.decay_factor = None
if isinstance(dense_blocks, list):
block.dense_block = i in dense_blocks
else:
block.dense_block = i < dense_blocks
block.self_attn.mask_map = MaskMap(video_token_num=seq_len, num_frame=latent_video_length if context_options is None else context_frames, block_size=block_size)
block.dense_attention_mode = dense_attention_mode
block.dense_timesteps = dense_timesteps
block.self_attn.decay_factor = decay_factor
if transformer.vace_layers is not None:
for i, block in enumerate(transformer.vace_blocks):
block.self_attn.mask_map = block.dense_attention_mode = block.dense_timesteps = block.self_attn.decay_factor = None
if isinstance(dense_vace_blocks, list):
block.dense_block = i in dense_vace_blocks
else:
block.dense_block = i < dense_vace_blocks
block.self_attn.mask_map = MaskMap(video_token_num=seq_len, num_frame=latent_video_length if context_options is None else context_frames, block_size=block_size)
block.dense_attention_mode = dense_attention_mode
block.dense_timesteps = dense_timesteps
block.self_attn.decay_factor = decay_factor
log.info(f"Radial attention mode enabled.")
log.info(f"dense_attention_mode: {dense_attention_mode}, dense_timesteps: {dense_timesteps}, decay_factor: {decay_factor}")
log.info(f"dense_blocks: {[i for i, block in enumerate(transformer.blocks) if getattr(block, 'dense_block', False)]})")
def list_to_device(tensor_list, device, dtype=None):
"""
Move all tensors in a list to the specified device and optionally cast to dtype.
"""
return [t.to(device, dtype=dtype) if dtype is not None else t.to(device) for t in tensor_list]
def dict_to_device(tensor_dict, device, dtype=None):
"""
Move all tensors (and tensor lists) in a dict to the specified device and optionally cast to dtype.
Supports values that are tensors or lists of tensors.
"""
result = {}
for k, v in tensor_dict.items():
if isinstance(v, torch.Tensor):
result[k] = v.to(device, dtype=dtype) if dtype is not None else v.to(device)
elif isinstance(v, list) and all(isinstance(t, torch.Tensor) for t in v):
result[k] = list_to_device(v, device, dtype)
else:
result[k] = v
return result
def compile_model(transformer, compile_args=None):
if compile_args is None:
return transformer
torch._dynamo.config.cache_size_limit = compile_args["dynamo_cache_size_limit"]
try:
if hasattr(torch, '_dynamo') and hasattr(torch._dynamo, 'config'):
torch._dynamo.config.recompile_limit = compile_args["dynamo_recompile_limit"]
except Exception as e:
log.warning(f"Could not set recompile_limit: {e}")
if compile_args["compile_transformer_blocks_only"]:
for i, block in enumerate(transformer.blocks):
if hasattr(block, "_orig_mod"):
block = block._orig_mod
transformer.blocks[i] = torch.compile(block, fullgraph=compile_args["fullgraph"], dynamic=compile_args["dynamic"], backend=compile_args["backend"], mode=compile_args["mode"])
if transformer.vace_layers is not None:
for i, block in enumerate(transformer.vace_blocks):
if hasattr(block, "_orig_mod"):
block = block._orig_mod
transformer.vace_blocks[i] = torch.compile(block, fullgraph=compile_args["fullgraph"], dynamic=compile_args["dynamic"], backend=compile_args["backend"], mode=compile_args["mode"])
else:
transformer = torch.compile(transformer, fullgraph=compile_args["fullgraph"], dynamic=compile_args["dynamic"], backend=compile_args["backend"], mode=compile_args["mode"])
return transformer
#https://5410tiffany.github.io/tcfg.github.io/
def tangential_projection(pred_cond: torch.Tensor, pred_uncond: torch.Tensor) -> torch.Tensor:
cond_dtype = pred_cond.dtype
preds = torch.stack([pred_cond, pred_uncond], dim=1).float()
orig_shape = preds.shape[2:]
preds_flat = preds.flatten(2)
U, S, Vh = torch.linalg.svd(preds_flat, full_matrices=False)
Vh_modified = Vh.clone()
Vh_modified[:, 1] = 0
recon = U @ torch.diag_embed(S) @ Vh_modified
return recon[:, 1].view(pred_uncond.shape).to(cond_dtype)
#https://arxiv.org/abs/2508.03442
def get_raag_guidance(noise_pred_cond, noise_pred_uncond, w_max, alpha=1.0, eps=1e-8):
delta = noise_pred_cond - noise_pred_uncond
norm_delta = torch.norm(delta.flatten(1), dim=1, keepdim=True)
norm_uncond = torch.norm(noise_pred_uncond.flatten(1), dim=1, keepdim=True)
ratio = norm_delta / (norm_uncond + eps)
ratio_mean = ratio.mean().item()
adaptive_w = 1.0 + (w_max - 1.0) * math.exp(-alpha * ratio_mean)
return adaptive_w
def tensor_pingpong_pad(video, target_len):
"""
Pads a video tensor along the frame dimension (dim=2) in a ping-pong fashion.
video: torch.Tensor of shape [B, C, F, H, W]
target_len: desired number of frames
Returns: padded tensor of shape [B, C, target_len, H, W]
"""
in_dims = len(video.shape)
if in_dims == 4:
video = video.unsqueeze(0)
B, C, F, H, W = video.shape
idx = 0
flip = False
indices = []
while len(indices) < target_len:
indices.append(idx)
if flip:
idx -= 1
else:
idx += 1
if idx == 0 or idx == F - 1:
flip = not flip
indices = indices[:target_len]
padded_video = video[:, :, indices, :, :]
if in_dims == 4:
padded_video = padded_video.squeeze(0)
return padded_video
def check_duplicate_nodes():
"""Check ComfyUI custom_nodes directory for duplicate installations"""
custom_nodes_dir = Path(folder_paths.folder_names_and_paths["custom_nodes"][0][0])
current_path = Path(__file__).parent
wanvideo_dirs = []
# Check all directories in custom_nodes
for path in custom_nodes_dir.iterdir():
if (path.is_dir() and
path != current_path and
'wanvideo' in path.name.lower() and
'wrapper' in path.name.lower()):
wanvideo_dirs.append(str(path))
return wanvideo_dirs
#https://github.com/temporalscorerescaling/TSR/
def temporal_score_rescaling(model_output, sample, timestep, k=1.0, tsr_sigma=0.1):
t = (timestep / 1000)
if t == 0.0:
ratio = k
else:
snr_t = (1 - t)**2 / t**2
ratio = (snr_t * tsr_sigma**2 + 1) / (snr_t * tsr_sigma**2 / k + 1)
if not t == 1.0:
model_output = (ratio * ((1-t) * model_output + sample) - sample) / (1 - t)
return model_output
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