# Copyright 2024 The HuggingFace Team. All rights reserved. # # Licensed under the Apache License, Version 2.0 (the "License"); # you may not use this file except in compliance with the License. # You may obtain a copy of the License at # # http://www.apache.org/licenses/LICENSE-2.0 # # Unless required by applicable law or agreed to in writing, software # distributed under the License is distributed on an "AS IS" BASIS, # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # See the License for the specific language governing permissions and # limitations under the License. from dataclasses import dataclass from typing import List, Optional, Tuple, Union import numpy as np import torch from ..configuration_utils import ConfigMixin, register_to_config from ..utils import BaseOutput, logging from ..utils.torch_utils import randn_tensor from .scheduling_utils import SchedulerMixin logger = logging.get_logger(__name__) # pylint: disable=invalid-name @dataclass class CMStochasticIterativeSchedulerOutput(BaseOutput): """ Output class for the scheduler's `step` function. Args: prev_sample (`torch.Tensor` of shape `(batch_size, num_channels, height, width)` for images): Computed sample `(x_{t-1})` of previous timestep. `prev_sample` should be used as next model input in the denoising loop. """ prev_sample: torch.Tensor class CMStochasticIterativeScheduler(SchedulerMixin, ConfigMixin): """ Multistep and onestep sampling for consistency models. This model inherits from [`SchedulerMixin`] and [`ConfigMixin`]. Check the superclass documentation for the generic methods the library implements for all schedulers such as loading and saving. Args: num_train_timesteps (`int`, defaults to 40): The number of diffusion steps to train the model. sigma_min (`float`, defaults to 0.002): Minimum noise magnitude in the sigma schedule. Defaults to 0.002 from the original implementation. sigma_max (`float`, defaults to 80.0): Maximum noise magnitude in the sigma schedule. Defaults to 80.0 from the original implementation. sigma_data (`float`, defaults to 0.5): The standard deviation of the data distribution from the EDM [paper](https://huggingface.co/papers/2206.00364). Defaults to 0.5 from the original implementation. s_noise (`float`, defaults to 1.0): The amount of additional noise to counteract loss of detail during sampling. A reasonable range is [1.000, 1.011]. Defaults to 1.0 from the original implementation. rho (`float`, defaults to 7.0): The parameter for calculating the Karras sigma schedule from the EDM [paper](https://huggingface.co/papers/2206.00364). Defaults to 7.0 from the original implementation. clip_denoised (`bool`, defaults to `True`): Whether to clip the denoised outputs to `(-1, 1)`. timesteps (`List` or `np.ndarray` or `torch.Tensor`, *optional*): An explicit timestep schedule that can be optionally specified. The timesteps are expected to be in increasing order. """ order = 1 @register_to_config def __init__( self, num_train_timesteps: int = 40, sigma_min: float = 0.002, sigma_max: float = 80.0, sigma_data: float = 0.5, s_noise: float = 1.0, rho: float = 7.0, clip_denoised: bool = True, ): # standard deviation of the initial noise distribution self.init_noise_sigma = sigma_max ramp = np.linspace(0, 1, num_train_timesteps) sigmas = self._convert_to_karras(ramp) timesteps = self.sigma_to_t(sigmas) # setable values self.num_inference_steps = None self.sigmas = torch.from_numpy(sigmas) self.timesteps = torch.from_numpy(timesteps) self.custom_timesteps = False self.is_scale_input_called = False self._step_index = None self._begin_index = None self.sigmas = self.sigmas.to("cpu") # to avoid too much CPU/GPU communication @property def step_index(self): """ The index counter for current timestep. It will increase 1 after each scheduler step. """ return self._step_index @property def begin_index(self): """ The index for the first timestep. It should be set from pipeline with `set_begin_index` method. """ return self._begin_index # Copied from diffusers.schedulers.scheduling_dpmsolver_multistep.DPMSolverMultistepScheduler.set_begin_index def set_begin_index(self, begin_index: int = 0): """ Sets the begin index for the scheduler. This function should be run from pipeline before the inference. Args: begin_index (`int`): The begin index for the scheduler. """ self._begin_index = begin_index def scale_model_input(self, sample: torch.Tensor, timestep: Union[float, torch.Tensor]) -> torch.Tensor: """ Scales the consistency model input by `(sigma**2 + sigma_data**2) ** 0.5`. Args: sample (`torch.Tensor`): The input sample. timestep (`float` or `torch.Tensor`): The current timestep in the diffusion chain. Returns: `torch.Tensor`: A scaled input sample. """ # Get sigma corresponding to timestep if self.step_index is None: self._init_step_index(timestep) sigma = self.sigmas[self.step_index] sample = sample / ((sigma**2 + self.config.sigma_data**2) ** 0.5) self.is_scale_input_called = True return sample def sigma_to_t(self, sigmas: Union[float, np.ndarray]): """ Gets scaled timesteps from the Karras sigmas for input to the consistency model. Args: sigmas (`float` or `np.ndarray`): A single Karras sigma or an array of Karras sigmas. Returns: `float` or `np.ndarray`: A scaled input timestep or scaled input timestep array. """ if not isinstance(sigmas, np.ndarray): sigmas = np.array(sigmas, dtype=np.float64) timesteps = 1000 * 0.25 * np.log(sigmas + 1e-44) return timesteps def set_timesteps( self, num_inference_steps: Optional[int] = None, device: Union[str, torch.device] = None, timesteps: Optional[List[int]] = None, ): """ Sets the timesteps used for the diffusion chain (to be run before inference). Args: num_inference_steps (`int`): The number of diffusion steps used when generating samples with a pre-trained model. device (`str` or `torch.device`, *optional*): The device to which the timesteps should be moved to. If `None`, the timesteps are not moved. timesteps (`List[int]`, *optional*): Custom timesteps used to support arbitrary spacing between timesteps. If `None`, then the default timestep spacing strategy of equal spacing between timesteps is used. If `timesteps` is passed, `num_inference_steps` must be `None`. """ if num_inference_steps is None and timesteps is None: raise ValueError("Exactly one of `num_inference_steps` or `timesteps` must be supplied.") if num_inference_steps is not None and timesteps is not None: raise ValueError("Can only pass one of `num_inference_steps` or `timesteps`.") # Follow DDPMScheduler custom timesteps logic if timesteps is not None: for i in range(1, len(timesteps)): if timesteps[i] >= timesteps[i - 1]: raise ValueError("`timesteps` must be in descending order.") if timesteps[0] >= self.config.num_train_timesteps: raise ValueError( f"`timesteps` must start before `self.config.train_timesteps`:" f" {self.config.num_train_timesteps}." ) timesteps = np.array(timesteps, dtype=np.int64) self.custom_timesteps = True else: if num_inference_steps > self.config.num_train_timesteps: raise ValueError( f"`num_inference_steps`: {num_inference_steps} cannot be larger than `self.config.train_timesteps`:" f" {self.config.num_train_timesteps} as the unet model trained with this scheduler can only handle" f" maximal {self.config.num_train_timesteps} timesteps." ) self.num_inference_steps = num_inference_steps step_ratio = self.config.num_train_timesteps // self.num_inference_steps timesteps = (np.arange(0, num_inference_steps) * step_ratio).round()[::-1].copy().astype(np.int64) self.custom_timesteps = False # Map timesteps to Karras sigmas directly for multistep sampling # See https://github.com/openai/consistency_models/blob/main/cm/karras_diffusion.py#L675 num_train_timesteps = self.config.num_train_timesteps ramp = timesteps[::-1].copy() ramp = ramp / (num_train_timesteps - 1) sigmas = self._convert_to_karras(ramp) timesteps = self.sigma_to_t(sigmas) sigmas = np.concatenate([sigmas, [self.config.sigma_min]]).astype(np.float32) self.sigmas = torch.from_numpy(sigmas).to(device=device) if str(device).startswith("mps"): # mps does not support float64 self.timesteps = torch.from_numpy(timesteps).to(device, dtype=torch.float32) else: self.timesteps = torch.from_numpy(timesteps).to(device=device) self._step_index = None self._begin_index = None self.sigmas = self.sigmas.to("cpu") # to avoid too much CPU/GPU communication # Modified _convert_to_karras implementation that takes in ramp as argument def _convert_to_karras(self, ramp): """Constructs the noise schedule of Karras et al. (2022).""" sigma_min: float = self.config.sigma_min sigma_max: float = self.config.sigma_max rho = self.config.rho min_inv_rho = sigma_min ** (1 / rho) max_inv_rho = sigma_max ** (1 / rho) sigmas = (max_inv_rho + ramp * (min_inv_rho - max_inv_rho)) ** rho return sigmas def get_scalings(self, sigma): sigma_data = self.config.sigma_data c_skip = sigma_data**2 / (sigma**2 + sigma_data**2) c_out = sigma * sigma_data / (sigma**2 + sigma_data**2) ** 0.5 return c_skip, c_out def get_scalings_for_boundary_condition(self, sigma): """ Gets the scalings used in the consistency model parameterization (from Appendix C of the [paper](https://huggingface.co/papers/2303.01469)) to enforce boundary condition. `epsilon` in the equations for `c_skip` and `c_out` is set to `sigma_min`. Args: sigma (`torch.Tensor`): The current sigma in the Karras sigma schedule. Returns: `tuple`: A two-element tuple where `c_skip` (which weights the current sample) is the first element and `c_out` (which weights the consistency model output) is the second element. """ sigma_min = self.config.sigma_min sigma_data = self.config.sigma_data c_skip = sigma_data**2 / ((sigma - sigma_min) ** 2 + sigma_data**2) c_out = (sigma - sigma_min) * sigma_data / (sigma**2 + sigma_data**2) ** 0.5 return c_skip, c_out # Copied from diffusers.schedulers.scheduling_euler_discrete.EulerDiscreteScheduler.index_for_timestep def index_for_timestep(self, timestep, schedule_timesteps=None): if schedule_timesteps is None: schedule_timesteps = self.timesteps indices = (schedule_timesteps == timestep).nonzero() # The sigma index that is taken for the **very** first `step` # is always the second index (or the last index if there is only 1) # This way we can ensure we don't accidentally skip a sigma in # case we start in the middle of the denoising schedule (e.g. for image-to-image) pos = 1 if len(indices) > 1 else 0 return indices[pos].item() # Copied from diffusers.schedulers.scheduling_euler_discrete.EulerDiscreteScheduler._init_step_index def _init_step_index(self, timestep): if self.begin_index is None: if isinstance(timestep, torch.Tensor): timestep = timestep.to(self.timesteps.device) self._step_index = self.index_for_timestep(timestep) else: self._step_index = self._begin_index def step( self, model_output: torch.Tensor, timestep: Union[float, torch.Tensor], sample: torch.Tensor, generator: Optional[torch.Generator] = None, return_dict: bool = True, ) -> Union[CMStochasticIterativeSchedulerOutput, Tuple]: """ Predict the sample from the previous timestep by reversing the SDE. This function propagates the diffusion process from the learned model outputs (most often the predicted noise). Args: model_output (`torch.Tensor`): The direct output from the learned diffusion model. timestep (`float`): The current timestep in the diffusion chain. sample (`torch.Tensor`): A current instance of a sample created by the diffusion process. generator (`torch.Generator`, *optional*): A random number generator. return_dict (`bool`, *optional*, defaults to `True`): Whether or not to return a [`~schedulers.scheduling_consistency_models.CMStochasticIterativeSchedulerOutput`] or `tuple`. Returns: [`~schedulers.scheduling_consistency_models.CMStochasticIterativeSchedulerOutput`] or `tuple`: If return_dict is `True`, [`~schedulers.scheduling_consistency_models.CMStochasticIterativeSchedulerOutput`] is returned, otherwise a tuple is returned where the first element is the sample tensor. """ if isinstance(timestep, (int, torch.IntTensor, torch.LongTensor)): raise ValueError( ( "Passing integer indices (e.g. from `enumerate(timesteps)`) as timesteps to" f" `{self.__class__}.step()` is not supported. Make sure to pass" " one of the `scheduler.timesteps` as a timestep." ), ) if not self.is_scale_input_called: logger.warning( "The `scale_model_input` function should be called before `step` to ensure correct denoising. " "See `StableDiffusionPipeline` for a usage example." ) sigma_min = self.config.sigma_min sigma_max = self.config.sigma_max if self.step_index is None: self._init_step_index(timestep) # sigma_next corresponds to next_t in original implementation sigma = self.sigmas[self.step_index] if self.step_index + 1 < self.config.num_train_timesteps: sigma_next = self.sigmas[self.step_index + 1] else: # Set sigma_next to sigma_min sigma_next = self.sigmas[-1] # Get scalings for boundary conditions c_skip, c_out = self.get_scalings_for_boundary_condition(sigma) # 1. Denoise model output using boundary conditions denoised = c_out * model_output + c_skip * sample if self.config.clip_denoised: denoised = denoised.clamp(-1, 1) # 2. Sample z ~ N(0, s_noise^2 * I) # Noise is not used for onestep sampling. if len(self.timesteps) > 1: noise = randn_tensor( model_output.shape, dtype=model_output.dtype, device=model_output.device, generator=generator ) else: noise = torch.zeros_like(model_output) z = noise * self.config.s_noise sigma_hat = sigma_next.clamp(min=sigma_min, max=sigma_max) # 3. Return noisy sample # tau = sigma_hat, eps = sigma_min prev_sample = denoised + z * (sigma_hat**2 - sigma_min**2) ** 0.5 # upon completion increase step index by one self._step_index += 1 if not return_dict: return (prev_sample,) return CMStochasticIterativeSchedulerOutput(prev_sample=prev_sample) # Copied from diffusers.schedulers.scheduling_euler_discrete.EulerDiscreteScheduler.add_noise def add_noise( self, original_samples: torch.Tensor, noise: torch.Tensor, timesteps: torch.Tensor, ) -> torch.Tensor: # Make sure sigmas and timesteps have the same device and dtype as original_samples sigmas = self.sigmas.to(device=original_samples.device, dtype=original_samples.dtype) if original_samples.device.type == "mps" and torch.is_floating_point(timesteps): # mps does not support float64 schedule_timesteps = self.timesteps.to(original_samples.device, dtype=torch.float32) timesteps = timesteps.to(original_samples.device, dtype=torch.float32) else: schedule_timesteps = self.timesteps.to(original_samples.device) timesteps = timesteps.to(original_samples.device) # self.begin_index is None when scheduler is used for training, or pipeline does not implement set_begin_index if self.begin_index is None: step_indices = [self.index_for_timestep(t, schedule_timesteps) for t in timesteps] elif self.step_index is not None: # add_noise is called after first denoising step (for inpainting) step_indices = [self.step_index] * timesteps.shape[0] else: # add noise is called before first denoising step to create initial latent(img2img) step_indices = [self.begin_index] * timesteps.shape[0] sigma = sigmas[step_indices].flatten() while len(sigma.shape) < len(original_samples.shape): sigma = sigma.unsqueeze(-1) noisy_samples = original_samples + noise * sigma return noisy_samples def __len__(self): return self.config.num_train_timesteps