code: def _rmsprop_update_numpy(
      self, var, g, mg, rms, mom, lr, decay, momentum, epsilon, centered
  ):
      rms_t = rms * decay + (1 - decay) * g * g
      denom_t = rms_t + epsilon
      if centered:
          mg_t = mg * decay + (1 - decay) * g
          denom_t -= mg_t * mg_t
      else:
          mg_t = mg
      mom_t = momentum * mom + lr * g / np.sqrt(
          denom_t, dtype=denom_t.dtype
      )
      var_t = var - mom_t
      return var_t, mg_t, rms_t, mom_t
  
imports: import copy
  import itertools
  import math
  import numpy
  from tensorflow.python.eager import context
  from tensorflow.python.framework import constant_op
  from tensorflow.python.framework import dtypes
  from tensorflow.python.framework import indexed_slices
  from tensorflow.python.framework import test_util
  from tensorflow.python.ops import embedding_ops
  from tensorflow.python.ops import math_ops
  from tensorflow.python.ops import resource_variable_ops
  from tensorflow.python.ops import variables
  from tensorflow.python.platform import test
  from tensorflow.python.training import rmsprop
label_desc: Use image node_id 1 for calling the RMSPropOptimizerTest obj's underlying member method code with example usage: obj._rmsprop_update_numpy(var, g, mg, rms, mom, lr, decay, momentum, epsilon, centered) and returns: var_t,  mg_t,  rms_t,  mom_t