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import itertools
import pdb
from dataclasses import dataclass
import hydra.utils
import lightning as L
import numpy as np
import torch
import torch.nn.functional as F
import transformers

import dataloader
import metrics
import models
import utils

import time
@dataclass
class Loss:
    loss: torch.FloatTensor
    nlls: torch.FloatTensor
    prior_loss: torch.FloatTensor
    num_tokens: torch.FloatTensor


class LogLinear(torch.nn.Module):
    def __init__(self):
        super().__init__()
        self.eps = 1e-3  # To be consistent with SEDD: https://github.com/louaaron/Score-Entropy-Discrete-Diffusion/blob/0605786da5ccb5747545e26d66fdf477187598b6/noise_lib.py#L56

    def forward(self, t):
        t = (1 - self.eps) * t
        alpha_t = 1 - t
        dalpha_t = -(1 - self.eps)
        return dalpha_t, alpha_t
    
def sample_categorical(categorical_probs):
    gumbel_norm = 1e-10 - (torch.rand_like(categorical_probs) + 1e-10).log()
    return (categorical_probs / gumbel_norm).argmax(dim=-1)


def _unsqueeze(x, reference):
    return x.view(*x.shape, *((1,) * (len(reference.shape) - len(x.shape))))


class TrainerBase(L.LightningModule):
    def __init__(
        self, config, tokenizer: transformers.PreTrainedTokenizer, vocab_size=None
    ):
        super().__init__()
        self.save_hyperparameters()
        self.config = config
        if hasattr(self.config.algo, "ignore_bos"):
            self.ignore_bos = config.algo.ignore_bos
        else:
            self.ignore_bos = False
        if hasattr(self.config.algo, "loss_type"):
            self.loss_type = config.algo.loss_type
        self.tokenizer = tokenizer
        if vocab_size is None:
            if hasattr(self.config.data, 'vocab_file'): 
                self.vocab_size = len(self.tokenizer.added_tokens_decoder)
                self.token_offset = True
            else: 
                self.token_offset = False
                self.vocab_size = len(self.tokenizer)
        else:
            self.vocab_size = vocab_size

        self.sampler = self.config.sampling.predictor
        self.antithetic_sampling = self.config.training.antithetic_sampling
        self.parameterization = self.config.algo.parameterization
        if self.config.algo.backbone == "dit":
            self.backbone = models.dit.DIT(self.config, vocab_size=self.vocab_size)

        elif self.config.algo.backbone == "cont_dit": 
            backbone = models.dit_cont.ContDIT(self.config.model, vocab_size=self.vocab_size, mixed_coeff=self.config.algo.mixed_coeff)
            self.backbone = backbone
        elif self.config.algo.backbone == "dimamba":
            self.backbone = models.dimamba.DiMamba(
                self.config,
                vocab_size=self.vocab_size,
                pad_token_id=self.tokenizer.pad_token_id,
            )
        elif self.config.algo.backbone == "hf_dit":
            self.backbone = transformers.AutoModelForMaskedLM.from_pretrained(
                config.eval.checkpoint_path, trust_remote_code=True
            )


        self.T = self.config.algo.T
        self.num_tokens = self.config.model.length
        self.softplus = torch.nn.Softplus()
        self.p_nucleus = self.config.sampling.p_nucleus
        # Noise Schedule
        self.noise = LogLinear()

        self.metrics = metrics.Metrics(
            gen_ppl_eval_model_name_or_path=self.config.eval.gen_ppl_eval_model_name_or_path,
            eval_ppl_batch_size=self.config.eval.perplexity_batch_size,
        )

        if self.config.training.ema > 0:
            self.ema = models.ema.ExponentialMovingAverage(
                self._get_parameters(), decay=self.config.training.ema
            )
        else:
            self.ema = None

        self.lr = self.config.optim.lr
        self.sampling_eps = self.config.training.sampling_eps
        self.time_conditioning = self.config.algo.time_conditioning
        self.neg_infinity = -1000000.0
        self.fast_forward_epochs = None
        self.fast_forward_batches = None

    def _validate_configuration(self):
        assert self.config.algo.backbone in {"dit", "hf_dit"}
        if self.config.algo.parameterization == "ar":
            assert not self.config.algo.time_conditioning
            assert self.config.prior.type == "none"

        if self.parameterization in {"score", "mean"}:
            assert self.time_conditioning
        if self.T > 0:
            assert self.parameterization != "score"

    def to(self, *args, **kwargs):
        self = super().to(*args, **kwargs)
        self.metrics.to(*args, **kwargs)
        return self

    def q_xt(self, x, alpha_t):
        raise NotImplementedError

    def _get_parameters(self):
        return itertools.chain(self.backbone.parameters(), self.noise.parameters())

    def _eval_mode(self):
        if self.ema:
            self.ema.store(self._get_parameters())
            self.ema.copy_to(self._get_parameters())
        self.backbone.eval()
        self.noise.eval()

    def _train_mode(self):
        if self.ema:
            self.ema.restore(self._get_parameters())
        self.backbone.train()
        self.noise.train()

    def on_load_checkpoint(self, checkpoint):
        if self.ema:
            self.ema.load_state_dict(checkpoint["ema"])
        # Copied from:
        # https://github.com/Dao-AILab/flash-attention/blob/main/training/src/datamodules/language_modeling_hf.py#L41
        self.fast_forward_epochs = checkpoint["loops"]["fit_loop"]["epoch_progress"][
            "current"
        ]["completed"]
        self.fast_forward_batches = checkpoint["loops"]["fit_loop"][
            "epoch_loop.batch_progress"
        ]["current"]["completed"]

        if 'state_dict' in checkpoint:
            state_dict = checkpoint['state_dict']
            cleaned_state_dict = {}
            
            for key, value in state_dict.items():
                if "teacher" not in key: 
                    cleaned_key = key
                    # Remove _orig and other modifiers
                    cleaned_key = cleaned_key.replace('_orig_mod.', '') 
                    cleaned_state_dict[cleaned_key] = value
            
            checkpoint['state_dict'] = cleaned_state_dict


    def on_save_checkpoint(self, checkpoint):
        if self.ema:
            checkpoint["ema"] = self.ema.state_dict()
        # Copied from:
        # https://github.com/Dao-AILab/flash-attention/blob/main/training/src/tasks/seq.py
        # ['epoch_loop.batch_progress']['total']['completed']
        # is 1 iteration behind, so we're using the optimizer's progress.
        checkpoint["loops"]["fit_loop"]["epoch_loop.batch_progress"]["total"][
            "completed"
        ] = (
            checkpoint["loops"]["fit_loop"][
                "epoch_loop.automatic_optimization.optim_progress"
            ]["optimizer"]["step"]["total"]["completed"]
            * self.trainer.accumulate_grad_batches
        )
        checkpoint["loops"]["fit_loop"]["epoch_loop.batch_progress"]["current"][
            "completed"
        ] = (
            checkpoint["loops"]["fit_loop"][
                "epoch_loop.automatic_optimization.optim_progress"
            ]["optimizer"]["step"]["current"]["completed"]
            * self.trainer.accumulate_grad_batches
        )
        # _batches_that_stepped tracks the number of global steps,
        # not the number of local steps, so we don't multiply with
        # self.trainer.accumulate_grad_batches here.
        checkpoint["loops"]["fit_loop"]["epoch_loop.state_dict"][
            "_batches_that_stepped"
        ] = checkpoint["loops"]["fit_loop"][
            "epoch_loop.automatic_optimization.optim_progress"
        ][
            "optimizer"
        ][
            "step"
        ][
            "total"
        ][
            "completed"
        ]
        if "sampler" not in checkpoint.keys():
            checkpoint["sampler"] = {}
        if hasattr(self.trainer.train_dataloader.sampler, "state_dict"):
            sampler_state_dict = self.trainer.train_dataloader.sampler.state_dict()
            checkpoint["sampler"]["random_state"] = sampler_state_dict.get(
                "random_state", None
            )
        else:
            checkpoint["sampler"]["random_state"] = None

    def on_train_start(self):
        if self.ema:
            self.ema.move_shadow_params_to_device(self.device)
        # Adapted from:
        # https://github.com/Dao-AILab/flash-attention/blob/main/training/src/datamodules/language_modeling_hf.py
        distributed = (
            self.trainer._accelerator_connector.use_distributed_sampler
            and self.trainer._accelerator_connector.is_distributed
        )
        if distributed:
            sampler_cls = dataloader.FaultTolerantDistributedSampler
        else:
            sampler_cls = dataloader.RandomFaultTolerantSampler
        updated_dls = []
        for dl in self.trainer.fit_loop._combined_loader.flattened:
            if hasattr(dl.sampler, "shuffle"):
                dl_sampler = sampler_cls(dl.dataset, shuffle=dl.sampler.shuffle)
            else:
                dl_sampler = sampler_cls(dl.dataset)
            if (
                distributed
                and self.fast_forward_epochs is not None
                and self.fast_forward_batches is not None
            ):
                dl_sampler.load_state_dict(
                    {
                        "epoch": self.fast_forward_epochs,
                        "counter": (
                            self.fast_forward_batches * self.config.loader.batch_size
                        ),
                    }
                )
            updated_dls.append(
                torch.utils.data.DataLoader(
                    dl.dataset,
                    batch_size=self.config.loader.batch_size,
                    num_workers=self.config.loader.num_workers,
                    pin_memory=self.config.loader.pin_memory,
                    sampler=dl_sampler,
                    shuffle=False,
                    persistent_workers=True,
                )
            )
        self.trainer.fit_loop._combined_loader.flattened = updated_dls

    def optimizer_step(self, *args, **kwargs):
        super().optimizer_step(*args, **kwargs)
        if self.ema:
            self.ema.update(self._get_parameters())

    def _process_sigma(self, sigma):
        raise NotImplementedError

    def _process_model_output(self, model_output, xt, sigma):
        raise NotImplementedError

    def forward(self, xt, sigma):
        sigma = self._process_sigma(sigma)
        with torch.cuda.amp.autocast(dtype=torch.float32):
            model_output = self.backbone(xt, sigma)
        return self._process_model_output(model_output=model_output, xt=xt, sigma=sigma)

    def on_train_epoch_start(self):
        self.metrics.reset()
        assert self.metrics.train_nlls.nll.mean_value == 0
        assert self.metrics.train_nlls.nll.weight == 0

    def training_step(self, batch, batch_idx):

        current_accumulation_step = batch_idx % self.trainer.accumulate_grad_batches
        losses = self._loss(
            batch["input_ids"],
            batch["attention_mask"],
            current_accumulation_step,
            train_mode=True,
        )
        self.metrics.update_train(losses.nlls, losses.prior_loss, losses.num_tokens)
        self.log(
            name="trainer/loss",
            value=losses.loss.item(),
            on_step=True,
            on_epoch=False,
            sync_dist=True,
        )
        return losses.loss

    def on_train_epoch_end(self):
        for k, v in self.metrics.valid_nlls.items():
            self.log(
                name=k, value=v.compute(), on_step=False, on_epoch=True, sync_dist=True
            )

    def on_validation_epoch_start(self):
        self.metrics.reset()
        self._eval_mode()
        assert self.metrics.valid_nlls.nll.mean_value == 0
        assert self.metrics.valid_nlls.nll.weight == 0

    def validation_step(self, batch, batch_idx):

        del batch_idx
        losses = self._loss(batch["input_ids"], batch["attention_mask"])
        self.metrics.update_valid(losses.nlls, losses.prior_loss, losses.num_tokens)
        return losses.loss

    def on_validation_epoch_end(self):
        for k, v in self.metrics.valid_nlls.items():
            self.log(
                name=k, value=v.compute(), on_step=False, on_epoch=True, sync_dist=True
            )
        if (
            self.config.eval.compute_perplexity_on_sanity
            or not self.trainer.sanity_checking
        ) and self.config.eval.generate_samples:
            samples, text_samples = None, None
            for _ in range(self.config.sampling.num_sample_batches):
                samples = self.generate_samples(
                    num_samples=self.config.loader.eval_batch_size
                )

                self.metrics.record_entropy(samples)
                # Decode the samples to be re-tokenized by eval model
                text_samples = self.tokenizer.batch_decode(samples)
                if self.config.eval.compute_generative_perplexity:
                    self.metrics.record_generative_perplexity(
                        text_samples, self.num_tokens, self.device
                    )
            if text_samples is not None:
                if self.trainer.global_rank == 0 and hasattr(
                    self.trainer.logger, "log_table"
                ):
                    # Log the last generated samples
                    text_samples = text_samples[: self.config.sampling.num_sample_log]
                    self.trainer.logger.log_table(
                        key=f"samples@global_step{self.global_step}",
                        columns=["Generated Samples"],
                        data=[[s] for s in text_samples],
                    )
                if self.config.eval.compute_generative_perplexity:
                    self.log(
                        "val/gen_ppl",
                        self.metrics.gen_ppl.compute(),
                        on_epoch=True,
                        on_step=False,
                        sync_dist=True,
                    )
                    self.log(
                        "val/sample_entropy",
                        self.metrics.sample_entropy.compute(),
                        on_epoch=True,
                        on_step=False,
                        sync_dist=True,
                    )
        self._train_mode()

    def configure_optimizers(self):
        optimizer = torch.optim.AdamW(
            self._get_parameters(),
            lr=self.config.optim.lr,
            betas=(self.config.optim.beta1, self.config.optim.beta2),
            eps=self.config.optim.eps,
            weight_decay=self.config.optim.weight_decay,
        )

        scheduler = hydra.utils.instantiate(
            self.config.lr_scheduler, optimizer=optimizer
        )
        scheduler_dict = {
            "scheduler": scheduler,
            "interval": "step",
            "monitor": "val/loss",
            "name": "trainer/lr",
        }
        return [optimizer], [scheduler_dict]

    def generate_samples(self, num_samples, num_steps, eps):
        raise NotImplementedError

    def restore_model_and_sample(self, num_steps, eps=1e-5):
        """Generate samples from the model."""
        # Lightning auto-casting is not working in this method for some reason
        self._eval_mode()
        start = time.time()
        samples = self.generate_samples(
            num_samples=self.config.loader.eval_batch_size, num_steps=num_steps, eps=eps
        )
        end = time.time()
        self._train_mode()
        return samples

    def _process_model_input(self, x0, valid_tokens):
        raise NotImplementedError

    def nll(
        self,
        input_tokens,
        output_tokens,
        current_accumulation_step=None,
        train_mode=False,
    ):
        raise NotImplementedError

    def _loss(self, x0, valid_tokens, current_accumulation_step=None, train_mode=False):
        (input_tokens, output_tokens, valid_tokens) = self._process_model_input(
            x0, valid_tokens
        )
        loss = self.nll(
            input_tokens, output_tokens, current_accumulation_step, train_mode
        )
        assert loss.ndim == 2
        if self.ignore_bos:
            loss[:, 1:] = loss[:, 1:]
            valid_tokens[:, 1:] = valid_tokens[:, 1:]

        nlls = (loss * valid_tokens).sum()
        num_tokens = valid_tokens.sum()
        token_nll = nlls / num_tokens

        return Loss(loss=token_nll, nlls=nlls, prior_loss=0.0, num_tokens=num_tokens)


class Diffusion(TrainerBase):
    def _validate_configuration(self):
        super()._validate_configuration()
        assert self.config.sampling.noise_removal in {"none", "ancestral", "greedy"}
        assert self.loss_type in {"elbo", "low_var"}
        if self.config.sampling.noise_removal == "greedy":
            assert self.sampler != "analytic"
            assert self.parameterization in {"mean", "subs"}

    def _process_model_input(self, x0, valid_tokens):
        return x0, None, valid_tokens

    def _process_sigma(self, sigma):
        assert sigma.ndim == 2
        sigma = sigma.mean(-1).squeeze()
        if sigma.ndim == 0:
            sigma = sigma.unsqueeze(0)
        if not self.time_conditioning:
            sigma = torch.zeros_like(sigma)
        assert sigma.ndim == 1, sigma.shape
        return sigma

    def _sample_t(self, n, accum_step):
        if accum_step is not None:
            # During training
            batch_dim = n
            n = self.config.loader.global_batch_size
        _eps_t = torch.rand(n, device=self.device)
        if self.antithetic_sampling:
            offset = torch.arange(n, device=self.device) / n
            _eps_t = (_eps_t / n + offset) % 1
        t = (1 - self.sampling_eps) * _eps_t + self.sampling_eps
        if accum_step is not None:
            t = t.chunk(self.trainer.num_nodes)[self.trainer.node_rank]
            t = t.chunk(self.trainer.num_devices)[self.trainer.local_rank]
            t = t.chunk(self.trainer.accumulate_grad_batches)[accum_step]
            # corner case for the last datapoint
            t = t[:batch_dim]
        return t

    def _sigma_from_alphat(self, alpha_t):
        return -torch.log(alpha_t)

    def _reconstruction_loss(self, x0):
        t0 = torch.zeros(1, x0.shape[0], dtype=self.dtype, device=self.device)
        sigma_t0 = self._sigma_from_alphat(self.noise(t0)[1])
        model_output_t0 = self.forward(x0, sigma_t0)
        return -torch.gather(
            input=model_output_t0, dim=-1, index=x0[:, :, None]
        ).squeeze(-1)

    def nll_per_token(self, model_output, xt, x0, alpha_t, dalpha_t, low_var):
        raise NotImplementedError

    def nll(self, x0, output_tokens, current_accumulation_step=None, train_mode=False):
        del output_tokens
        t = self._sample_t(x0.shape[0], current_accumulation_step)
        assert t.shape[0] == x0.shape[0]
        if self.T > 0:
            t = (t * self.T).to(torch.int)
            t = t / self.T
            # t \in {1/T, 2/T, ..., 1}
            t += 1 / self.T

        dalpha_t, alpha_t = self.noise(t)
        alpha_t = alpha_t.unsqueeze(-1)
        assert alpha_t.ndim == 2
        sigma = self._sigma_from_alphat(alpha_t)

        xt = self.q_xt(x0, alpha_t)

        log_x_theta = self.forward(xt, sigma=sigma)
        utils.print_nans(log_x_theta, "model_output")
        return self.nll_per_token(
            log_x_theta=log_x_theta,
            xt=xt,
            x0=x0,
            alpha_t=alpha_t,
            dalpha_t=dalpha_t,
            low_var=train_mode and self.loss_type == "low_var",
        )

    def _get_score(self, **kwargs):
        del kwargs
        raise NotImplementedError

    def _denoiser_update(self, x, t):
        raise NotImplementedError

    def _analytic_update(self, x, t, dt):
        raise NotImplementedError

    def _ancestral_update(self, x, t, dt, p_x0, noise_removal_step):
        raise NotImplementedError

    @torch.no_grad()
    def generate_samples(self, num_samples, num_steps=None, eps=1e-5, prompt_mask=None, prompt_tokens=None):
        """Generate samples from the model."""
        # Lightning auto-casting is not working in this method for some reason
        if num_steps is None:
            num_steps = self.config.sampling.steps
        x = self.prior_sample(num_samples, self.num_tokens)
        if prompt_tokens is not None and prompt_mask is not None:

            # assumes that they will be the same shape
            x = (prompt_mask * prompt_tokens + (1 - prompt_mask) * x).long()
            

        timesteps = torch.linspace(1, eps, num_steps + 1, device=self.device)
        dt = (1 - eps) / num_steps
        p_x0_cache = None
        for i in range(num_steps):
            t = timesteps[i] * torch.ones(x.shape[0], 1, device=self.device)
            if self.sampler == "ancestral":
                # for mdlm, because of SUBS, the prompt mask wont be used 
                # but is needed to make duo / usdms condition on promtps / infill

                _, x = self._ancestral_update(x=x, t=t, dt=dt, p_x0=None, prompt_mask=prompt_mask)
            elif self.sampler == "ancestral_cache":
                p_x0_cache, x_next = self._ancestral_update(
                    x=x, t=t, dt=dt, p_x0=p_x0_cache
                )
                if not torch.allclose(x_next, x) or self.time_conditioning:
                    # Disable caching
                    p_x0_cache = None
                x = x_next


            else:
                x = self._analytic_update(x=x, t=t, dt=dt)

        t0 = timesteps[-1] * torch.ones(x.shape[0], 1, device=self.device)
        if self.config.sampling.noise_removal == "ancestral":
            if self.sampler == "analytic":
                x = self._denoiser_update(x=x, t=t0)
            else:
                _, x = self._ancestral_update(
                    x=x, t=t0, dt=None, p_x0=p_x0_cache, noise_removal_step=True, prompt_mask=prompt_mask
                )
        elif self.config.sampling.noise_removal == "greedy":
            sigma = self._sigma_from_alphat(self.noise(t0)[1])
            x = self.forward(xt=x, sigma=sigma).argmax(dim=-1)

        if self.token_offset: 
            x += self.tokenizer.eos_token_id
        return x

    @torch.no_grad
    def _semi_ar_sampler(self, n_samples, stride_length, num_strides, dt=0.001):
        # TODO(subham): Test this method after refactoring.
        ones = torch.ones(n_samples, dtype=self.dtype, device=self.device)

        num_steps = int(1 / dt)
        sampling_steps = 0
        intermediate_tokens = []
        target = None
        for _ in range(num_strides + 1):
            p_x0_cache = None
            x = self.prior_sample(n_samples, self.num_tokens)
            if target is not None:
                x[:, :-stride_length] = target
            for i in range(num_steps + 1):
                p_x0_cache, x_next = self._ancestral_update(
                    x=x, t=(1 - i * dt) * ones, dt=dt, p_x0=p_x0_cache
                )
                if not torch.allclose(x_next, x) or self.time_conditioning:
                    p_x0_cache = None
                    sampling_steps += 1
                x = x_next
            x = self.forward(x, 0 * ones).argmax(dim=-1)
            intermediate_tokens.append(x[:, :stride_length].cpu().numpy())
            target = x[:, stride_length:]

        intermediate_tokens.append(target.cpu().numpy())
        intermediate_text_samples = []
        sequence_lengths = (
            (
                np.concatenate(intermediate_tokens, axis=1)[:, 1:]
                == self.tokenizer.eos_token_id
            ).cumsum(-1)
            == 0
        ).sum(-1)
        for i in range(2, len(intermediate_tokens) + 1):
            intermediate_text_samples.append(
                self.tokenizer.batch_decode(
                    np.concatenate(intermediate_tokens[:i], axis=1)
                )
            )
        return (sampling_steps, intermediate_text_samples, sequence_lengths)

    def restore_model_and_semi_ar_sample(self, stride_length, num_strides, dt=0.001):
        """Generate samples from the model."""
        # Lightning auto-casting is not working in this method for some reason
        # TODO(subham): Test this method after refactoring.
        self._eval_mode()
        (sampling_steps, samples, sequence_lengths) = self._semi_ar_sampler(
            n_samples=self.config.loader.eval_batch_size,
            stride_length=stride_length,
            num_strides=num_strides,
            dt=dt,
        )
        self._train_mode()
        return sampling_steps, samples, sequence_lengths


class AbsorbingState(Diffusion):
    def __init__(self, config, tokenizer):
        self.temp = config.algo.get("temp", 1.0)
        # NOTE: Ideally, we should do
        # vocab_size = len(tokenizer), so that we account
        # for the special tokens added in dataloader.py.
        # But we use tokenizer.vocab_size so as to to be
        # consistent with the prior checkpoints.
        vocab_size = tokenizer.vocab_size
        if hasattr(config.data, 'vocab_file'):
            vocab_size = len(tokenizer.added_tokens_decoder)
            self.token_offset = True
        else:
            self.token_offset = False
        if not hasattr(tokenizer, "mask_token") or tokenizer.mask_token is None:
            self.mask_index = vocab_size
            vocab_size += 1
        else:
            self.mask_index = tokenizer.mask_token_id

        self.subs_masking = config.algo.subs_masking
        super().__init__(config, tokenizer, vocab_size=vocab_size)
        self.save_hyperparameters()

    def _validate_configuration(self):
        super()._validate_configuration()
        if self.parameterization in {"score", "mean"}:
            assert self.time_conditioning
        assert not (self.parameterization == "mean" and self.T == 0)
        if self.T > 0:
            assert self.parameterization in {"mean", "subs"}
        if self.subs_masking:
            assert self.parameterization == "mean"

    def q_xt(self, x, alpha_t):
        """Computes the noisy sample xt.

        Args:
          x: int torch.Tensor with shape (batch_size,
              diffusion_model_input_length), input.
          alpha_t: float torch.Tensor with shape (batch_size, 1).
        """
        move_indices = torch.rand(*x.shape, device=x.device) < 1 - alpha_t
        xt = torch.where(move_indices, self.mask_index, x)
        if self.ignore_bos:
            xt[:, 0] = x[:, 0]
        return xt

    def prior_sample(self, *batch_dims):
        # pdb.set_trace()
        return self.mask_index * torch.ones(
            *batch_dims, dtype=torch.int64, device=self.device
        )

    def _ancestral_update(self, x, t, dt, p_x0=None, noise_removal_step=False, **kwargs):
        _, alpha_t = self.noise(t)
        if noise_removal_step:
            alpha_s = torch.ones_like(alpha_t)
        else:
            _, alpha_s = self.noise(t - dt)
        assert alpha_t.ndim == 2
        p_x0 = (self.forward(x, self._sigma_from_alphat(alpha_t)).double())
        p_x0 = p_x0.exp()
        q_xs = p_x0 * (alpha_s - alpha_t)[:, :, None]
        q_xs[:, :, self.mask_index] = 1 - alpha_s
        _x = sample_categorical(q_xs)
        copy_flag = (x != self.mask_index).to(x.dtype)
        return p_x0, copy_flag * x + (1 - copy_flag) * _x

    def _staggered_score(self, score, dsigma):
        score = score.clone()
        extra_const = (1 - dsigma.exp()) * score.sum(dim=-1)
        score *= dsigma.exp()[:, None]
        score[..., self.mask_index] += extra_const
        return score

    def _analytic_update(self, x, t, dt):
        sigma_t = self._sigma_from_alphat(self.noise(t)[1])
        sigma_s = self._sigma_from_alphat(self.noise(t - dt)[1])
        dsigma = sigma_t - sigma_s
        score = self._get_score(x, sigma_t)
        if self.config.sampling.use_float64:
            score = score.to(torch.float64)
        stag_score = self._staggered_score(score, dsigma)
        probs = stag_score * self._transp_transition(x, dsigma)
        return sample_categorical(probs)

    def _denoiser_update(self, x, t):
        sigma = self._sigma_from_alphat(self.noise(t)[1])
        score = self._get_score(x, sigma)
        if self.config.sampling.use_float64:
            score = score.to(torch.float64)
        stag_score = self._staggered_score(score, sigma)
        probs = stag_score * self._transp_transition(x, sigma)
        probs[..., self.mask_index] = 0
        samples = sample_categorical(probs)
        return samples

    def _transp_transition(self, i, sigma):
        sigma = _unsqueeze(sigma, reference=i[..., None])
        edge = torch.exp(-sigma) * F.one_hot(i, num_classes=self.vocab_size)
        edge += torch.where(i == self.mask_index, 1 - torch.exp(-sigma).squeeze(-1), 0)[
            ..., None
        ]
        return edge


class UniformState(Diffusion):
    def _validate_configuration(self):
        super()._validate_configuration()
        assert self.time_conditioning
        assert self.parameterization == "mean"
        if self.config.algo.name != "distillation":
            assert self.T == 0

    def q_xt(self, x, alpha_t):
        """Computes the noisy sample xt.

        Args:
          x: int torch.Tensor with shape (batch_size,
              diffusion_model_input_length), input.
          move_chance: float torch.Tensor with shape
            (batch_size, 1).
        """
        move_indices = torch.rand(*x.shape, device=x.device) < 1 - alpha_t
        uniform_tensor = torch.randint(0, self.vocab_size, x.shape, device=x.device)
        xt = torch.where(move_indices, uniform_tensor, x)
        if self.ignore_bos:
            xt[:, 0] = x[:, 0]
        return xt

    def prior_sample(self, *batch_dims):
        return torch.randint(
            0, self.vocab_size, batch_dims, dtype=torch.int64, device=self.device
        )