code: def create_sinusoidal_positions(n_pos, dim, padding_idx=1):
      half_dim = dim // 2
      emb = math.log(10000) / (half_dim - 1)
      emb = np.exp(np.arange(half_dim) * -emb)
      emb = np.expand_dims(np.arange(n_pos), 1) * np.expand_dims(emb, 0)
      emb = np.concatenate([np.sin(emb), np.cos(emb)], 1)
      emb = np.reshape(emb, (n_pos, dim))
  
      if padding_idx is not None:
          emb[padding_idx, :] = 0
  
      return jnp.array(emb)
  
imports: import math
  import random
  from functools import partial
  from typing import Optional, Tuple
  import flax.linen
  import jax
  import jax.numpy
  import numpy
  from flax.core.frozen_dict import FrozenDict, freeze, unfreeze
  from flax.linen import combine_masks, make_causal_mask
  from flax.linen.attention import dot_product_attention_weights
  from flax.traverse_util import flatten_dict, unflatten_dict
  from jax import lax
  from jax.random import PRNGKey
  from ...modeling_flax_outputs import FlaxBaseModelOutputWithPastAndCrossAttentions, FlaxCausalLMOutputWithCrossAttentions
  from ...modeling_flax_utils import ACT2FN, FlaxPreTrainedModel, append_call_sample_docstring
  from ...utils import add_start_docstrings, add_start_docstrings_to_model_forward, logging
  from .configuration_xglm import XGLMConfig
label_desc: Use image node_id 1 for calling a global function with example usage: create_sinusoidal_positions(n_pos, dim, padding_idx) and returns: jnp