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"""
Impl of multistep methods to solve the ODE in the diffusion model.
"""

from typing import Callable, List, Tuple

import torch

from cosmos_predict2.functional.runge_kutta import reg_x0_euler_step, res_x0_rk2_step


def order2_fn(
    x_s: torch.Tensor, s: torch.Tensor, t: torch.Tensor, x0_s: torch.Tensor, x0_preds: torch.Tensor
) -> Tuple[torch.Tensor, List[torch.Tensor]]:
    """
    impl the second order multistep method in https://arxiv.org/pdf/2308.02157
    Adams Bashforth approach!
    """
    if x0_preds:
        x0_s1, s1 = x0_preds[0]
        x_t = res_x0_rk2_step(x_s, t, s, x0_s, s1, x0_s1)
    else:
        x_t = reg_x0_euler_step(x_s, s, t, x0_s)[0]
    return x_t, [(x0_s, s)]


# key: method name, value: method function
# key: order + algorithm name
MULTISTEP_FNs = {
    "2ab": order2_fn,
}


def get_multi_step_fn(name: str) -> Callable:
    if name in MULTISTEP_FNs:
        return MULTISTEP_FNs[name]
    methods = "\n\t".join(MULTISTEP_FNs.keys())
    raise RuntimeError("Only support multistep method\n" + methods)


def is_multi_step_fn_supported(name: str) -> bool:
    """
    Check if the multistep method is supported.
    """
    return name in MULTISTEP_FNs
