code: def sample_dpm_2(
      model,
      x,
      sigmas,
      extra_args=None,
      callback=None,
      disable=None,
      s_churn=0.0,
      s_tmin=0.0,
      s_tmax=float("inf"),
      s_noise=1.0,
  ):
      """A sampler inspired by DPM-Solver-2 and Algorithm 2 from Karras et al. (2022)."""
      extra_args = {} if extra_args is None else extra_args
      s_in = x.new_ones([x.shape[0]])
      for i in trange(len(sigmas) - 1, disable=disable):
          gamma = (
              min(s_churn / (len(sigmas) - 1), 2**0.5 - 1)
              if s_tmin <= sigmas[i] <= s_tmax
              else 0.0
          )
          eps = torch.randn_like(x) * s_noise
          sigma_hat = sigmas[i] * (gamma + 1)
          if gamma > 0:
              x = x + eps * (sigma_hat**2 - sigmas[i] ** 2) ** 0.5
          denoised = model(x, sigma_hat * s_in, **extra_args)
          d = to_d(x, sigma_hat, denoised)
          if callback is not None:
              callback(
                  {
                      "x": x,
                      "i": i,
                      "sigma": sigmas[i],
                      "sigma_hat": sigma_hat,
                      "denoised": denoised,
                  }
              )
          if sigmas[i + 1] == 0:
              # Euler method
              dt = sigmas[i + 1] - sigma_hat
              x = x + d * dt
          else:
              # DPM-Solver-2
              sigma_mid = (
                  sigma_hat.log().lerp(sigmas[i + 1].log(), 0.5).exp()
              )
              dt_1 = sigma_mid - sigma_hat
              dt_2 = sigmas[i + 1] - sigma_hat
              x_2 = x + d * dt_1
              denoised_2 = model(x_2, sigma_mid * s_in, **extra_args)
              d_2 = to_d(x_2, sigma_mid, denoised_2)
              x = x + d_2 * dt_2
      return x
  
imports: import math
  import torch
  import torchsde
  from scipy import integrate
  from torch import nn
  from torchdiffeq import odeint
  from tqdm.auto import tqdm, trange
label_desc: Use image node_id 13 for calling a global function with example usage: sample_dpm_2(model, x, sigmas, extra_args, callback, disable, s_churn, s_tmin, s_tmax, s_noise) and returns: x