update

options/Video_model/tdd_svd_scheduler.py

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+from dataclasses import dataclass
+from typing import List, Optional, Tuple, Union
+
+import numpy as np
+import torch
+
+from diffusers.configuration_utils import ConfigMixin, register_to_config
+from diffusers.utils import BaseOutput, logging
+from diffusers.utils.torch_utils import randn_tensor
+from diffusers.schedulers.scheduling_utils import SchedulerMixin
+
+
+logger = logging.get_logger(__name__)  # pylint: disable=invalid-name
+
+
+@dataclass
+class TDDSVDStochasticIterativeSchedulerOutput(BaseOutput):
+    """
+    Output class for the scheduler's `step` function.
+    Args:
+        prev_sample (`torch.FloatTensor` 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.FloatTensor
+
+
+class TDDSVDStochasticIterativeScheduler(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,
+        eta: float = 0.3,
+    ):
+        # standard deviation of the initial noise distribution
+        self.init_noise_sigma = (sigma_max**2 + 1) ** 0.5
+        # self.init_noise_sigma = sigma_max
+
+        ramp = np.linspace(0, 1, num_train_timesteps)
+        sigmas = self._convert_to_karras(ramp)
+        sigmas = np.concatenate([sigmas, np.array([0])])
+        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.sigmas.to("cpu")  # to avoid too much CPU/GPU communication
+
+        self.set_eta(eta)
+        self.original_timesteps = self.timesteps.clone()
+        self.original_sigmas = self.sigmas.clone()
+
+
+    def index_for_timestep(self, timestep, schedule_timesteps=None):
+        if schedule_timesteps is None:
+            schedule_timesteps = self.timesteps
+
+        indices = (schedule_timesteps == timestep).nonzero()
+        return indices.item()
+
+    @property
+    def step_index(self):
+        """
+        The index counter for current timestep. It will increae 1 after each scheduler step.
+        """
+        return self._step_index
+
+    def scale_model_input(
+        self, sample: torch.FloatTensor, timestep: Union[float, torch.FloatTensor]
+    ) -> torch.FloatTensor:
+        """
+        Scales the consistency model input by `(sigma**2 + sigma_data**2) ** 0.5`.
+        Args:
+            sample (`torch.FloatTensor`):
+                The input sample.
+            timestep (`float` or `torch.FloatTensor`):
+                The current timestep in the diffusion chain.
+        Returns:
+            `torch.FloatTensor`:
+                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, sigma, log_sigmas):
+    #     # get log sigma
+    #     log_sigma = np.log(np.maximum(sigma, 1e-10))
+
+    #     # get distribution
+    #     dists = log_sigma - log_sigmas[:, np.newaxis]
+
+    #     # get sigmas range
+    #     low_idx = np.cumsum((dists >= 0), axis=0).argmax(axis=0).clip(max=log_sigmas.shape[0] - 2)
+    #     high_idx = low_idx + 1
+
+    #     low = log_sigmas[low_idx]
+    #     high = log_sigmas[high_idx]
+
+    #     # interpolate sigmas
+    #     w = (low - log_sigma) / (low - high)
+    #     w = np.clip(w, 0, 1)
+
+    #     # transform interpolation to time range
+    #     t = (1 - w) * low_idx + w * high_idx
+    #     t = t.reshape(sigma.shape)
+    #     return t
+
+    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 = 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().copy().astype(np.int64)
+            self.custom_timesteps = False
+
+        self.original_indices = timesteps
+        # 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.copy()
+        ramp = ramp / (num_train_timesteps - 1)
+        sigmas = self._convert_to_karras(ramp)
+        timesteps = self.sigma_to_t(sigmas)
+
+        sigmas = np.concatenate([sigmas, [0]]).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.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.
+        <Tip>
+        `epsilon` in the equations for `c_skip` and `c_out` is set to `sigma_min`.
+        </Tip>
+        Args:
+            sigma (`torch.FloatTensor`):
+                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) ** 2 + sigma_data**2)
+        c_out = -sigma * sigma_data / (sigma**2 + sigma_data**2) ** 0.5
+        return c_skip, c_out
+
+    # Copied from diffusers.schedulers.scheduling_euler_discrete.EulerDiscreteScheduler._init_step_index
+    def _init_step_index(self, timestep):
+        if isinstance(timestep, torch.Tensor):
+            timestep = timestep.to(self.timesteps.device)
+
+        index_candidates = (self.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)
+        if len(index_candidates) > 1:
+            step_index = index_candidates[1]
+        else:
+            step_index = index_candidates[0]
+
+        self._step_index = step_index.item()
+
+    def step(
+        self,
+        model_output: torch.FloatTensor,
+        timestep: Union[float, torch.FloatTensor],
+        sample: torch.FloatTensor,
+        generator: Optional[torch.Generator] = None,
+        return_dict: bool = True,
+    ) -> Union[TDDSVDStochasticIterativeSchedulerOutput, 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.FloatTensor`):
+                The direct output from the learned diffusion model.
+            timestep (`float`):
+                The current timestep in the diffusion chain.
+            sample (`torch.FloatTensor`):
+                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.TDDSVDStochasticIterativeSchedulerOutput`] or `tuple`.
+        Returns:
+            [`~schedulers.scheduling_consistency_models.TDDSVDStochasticIterativeSchedulerOutput`] or `tuple`:
+                If return_dict is `True`,
+                [`~schedulers.scheduling_consistency_models.TDDSVDStochasticIterativeSchedulerOutput`] is returned,
+                otherwise a tuple is returned where the first element is the sample tensor.
+        """
+
+        if (
+            isinstance(timestep, int)
+            or isinstance(timestep, torch.IntTensor)
+            or isinstance(timestep, 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
+        next_step_index = self.step_index + 1
+
+        sigma = self.sigmas[self.step_index]
+        if next_step_index < len(self.sigmas):
+            sigma_next = self.sigmas[next_step_index]
+        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)
+
+        if next_step_index < len(self.original_indices):
+            next_step_original_index = self.original_indices[next_step_index]
+            step_s_original_index = int(next_step_original_index + self.eta * (self.config.num_train_timesteps - 1 - next_step_original_index))
+            sigma_s = self.original_sigmas[step_s_original_index]
+        else:
+            sigma_s = self.sigmas[-1]
+
+        # 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)
+
+        d = (sample - denoised) / sigma
+        sample_s = sample + d * (sigma_s - sigma)
+
+        # 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 = 0, max = sigma_max)
+        # sigma_hat = sigma_next.clamp(min = sigma_min, max = sigma_max)
+
+        # print("denoise currently")
+        # print(sigma_hat)
+
+        # origin
+        # prev_sample = denoised + z * sigma_hat
+        prev_sample = sample_s + z * (sigma_hat - sigma_s)
+
+        # upon completion increase step index by one
+        self._step_index += 1
+
+        if not return_dict:
+            return (prev_sample,)
+
+        return TDDSVDStochasticIterativeSchedulerOutput(prev_sample=prev_sample)
+
+    # Copied from diffusers.schedulers.scheduling_euler_discrete.EulerDiscreteScheduler.add_noise
+    def add_noise(
+        self,
+        original_samples: torch.FloatTensor,
+        noise: torch.FloatTensor,
+        timesteps: torch.FloatTensor,
+    ) -> torch.FloatTensor:
+        # 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)
+
+        step_indices = [(schedule_timesteps == t).nonzero().item() for t in timesteps]
+
+        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
+
+    def set_eta(self, eta: float):
+        assert 0.0 <= eta <= 1.0
+        self.eta = eta