docstr: Initialize a list of `batch_size` 3-dimensional vectors representing
  randomly generated logarithms of rotation matrices.
docstr_tok: ["Initialize","a","list","of","`","batch_size","`","3-dimensional","vectors","representing","randomly","generated","logarithms","of","rotation","matrices","."]
code: def init_log_rot(batch_size: int = 10):
      """
      Initialize a list of `batch_size` 3-dimensional vectors representing
      randomly generated logarithms of rotation matrices.
      """
      device = torch.device("cuda:0")
      log_rot = torch.randn(
          (batch_size, 3), dtype=torch.float32, device=device
      )
      return log_rot
  
imports: import math
  import unittest
  from distutils.version import LooseVersion
  import numpy
  import torch
  from pytorch3d.transforms.so3 import hat, so3_exp_map, so3_log_map, so3_relative_angle, so3_rotation_angle
  from .common_testing import TestCaseMixin
label_desc: Use image node_id 2 for calling the TestSO3 obj's underlying member method code with example usage: obj.init_log_rot(batch_size) and returns: log_rot