code: def _create_placeholder_with_default(self, default, name=None):
      default_ = tf.convert_to_tensor(default, dtype=self.dtype)
      return tf1.placeholder_with_default(
          default_,
          shape=default_.shape if self.use_static_shape else None,
          name=name,
      )
  
imports: import numpy
  from scipy import stats
  import tensorflow.compat.v1
  import tensorflow.compat.v2
  from tensorflow_probability.python.distributions import half_cauchy
  from tensorflow_probability.python.internal import test_util
  from tensorflow_probability.python.math import gradient
label_desc: Use image node_id 1 for calling the _HalfCauchyTest obj's underlying member method code with example usage: obj._create_placeholder_with_default(default, name) and returns: tf1