code: def log_cdf(
      x: Tensor,
      distribution: Distribution,
  ):
      """Logarithm of the distribution’s cumulative distribution function (CDF).
  
      Args:
          x: the input tensor.
          distribution: an object representing a continuous-valued random
              variable.
  
      Returns:
          the log of the area under the distribution’s probability density
          function (PDF), integrated from minus infinity to :math:`x`.
      """
      if isinstance(distribution, Normal):
          standardized = (x - distribution.loc) / distribution.scale
  
          return log_ndtr(standardized)
  
      if isinstance(distribution, Uniform):
          return torch.log(x)
  
      return torch.log(distribution.cdf(x))
  
imports: import torch
  from torch import Tensor
  from torch.distributions import Distribution, Normal, Uniform
  from ._log_ndtr import log_ndtr
label_desc: Use image node_id 1 for calling a global function with example usage: log_cdf(x, distribution) and returns: torch, log_ndtr, torch