"""
From Diffuser https://github.com/jannerm/diffuser

"""

import torch
import numpy as np


def cosine_beta_schedule(timesteps, s=0.008, dtype=torch.float32):
    """
    cosine schedule as proposed in https://openreview.net/forum?id=-NEXDKk8gZ
    """
    steps = timesteps + 1
    x = np.linspace(0, steps, steps)
    alphas_cumprod = np.cos(((x / steps) + s) / (1 + s) * np.pi * 0.5) ** 2
    alphas_cumprod = alphas_cumprod / alphas_cumprod[0]
    betas = 1 - (alphas_cumprod[1:] / alphas_cumprod[:-1])
    betas_clipped = np.clip(betas, a_min=0, a_max=0.999)
    return torch.tensor(betas_clipped, dtype=dtype)


def extract(a, t, x_shape):
    b, *_ = t.shape
    out = a.gather(-1, t)
    return out.reshape(b, *((1,) * (len(x_shape) - 1)))


def make_timesteps(batch_size, i, device):
    t = torch.full((batch_size,), i, device=device, dtype=torch.long)
    return t