code: def polyval(p, x):
      """
      Evaluate a polynomial at specific values.
  
      .. note::
         This forms part of the old polynomial API. Since version 1.4, the
         new polynomial API defined in `numpy.polynomial` is preferred.
         A summary of the differences can be found in the
         :doc:`transition guide </reference/routines.polynomials>`.
  
      If `p` is of length N, this function returns the value:
  
          ``p[0]*x**(N-1) + p[1]*x**(N-2) + ... + p[N-2]*x + p[N-1]``
  
      If `x` is a sequence, then ``p(x)`` is returned for each element of ``x``.
      If `x` is another polynomial then the composite polynomial ``p(x(t))``
      is returned.
  
      Parameters
      ----------
      p : array_like or poly1d object
         1D array of polynomial coefficients (including coefficients equal
         to zero) from highest degree to the constant term, or an
         instance of poly1d.
      x : array_like or poly1d object
         A number, an array of numbers, or an instance of poly1d, at
         which to evaluate `p`.
  
      Returns
      -------
      values : ndarray or poly1d
         If `x` is a poly1d instance, the result is the composition of the two
         polynomials, i.e., `x` is "substituted" in `p` and the simplified
         result is returned. In addition, the type of `x` - array_like or
         poly1d - governs the type of the output: `x` array_like => `values`
         array_like, `x` a poly1d object => `values` is also.
  
      See Also
      --------
      poly1d: A polynomial class.
  
      Notes
      -----
      Horner's scheme [1]_ is used to evaluate the polynomial. Even so,
      for polynomials of high degree the values may be inaccurate due to
      rounding errors. Use carefully.
  
      If `x` is a subtype of `ndarray` the return value will be of the same type.
  
      References
      ----------
      .. [1] I. N. Bronshtein, K. A. Semendyayev, and K. A. Hirsch (Eng.
         trans. Ed.), *Handbook of Mathematics*, New York, Van Nostrand
         Reinhold Co., 1985, pg. 720.
  
      Examples
      --------
      >>> np.polyval([3,0,1], 5)  # 3 * 5**2 + 0 * 5**1 + 1
      76
      >>> np.polyval([3,0,1], np.poly1d(5))
      poly1d([76])
      >>> np.polyval(np.poly1d([3,0,1]), 5)
      76
      >>> np.polyval(np.poly1d([3,0,1]), np.poly1d(5))
      poly1d([76])
  
      """
      p = NX.asarray(p)
      if isinstance(x, poly1d):
          y = 0
      else:
          x = NX.asanyarray(x)
          y = NX.zeros_like(x)
      for pv in p:
          y = y * x + pv
      return y
  
imports: import functools
  import re
  import warnings
  from .._utils import set_module
  import numpy.core.numeric
  from numpy.core import isscalar, abs, finfo, atleast_1d, hstack, dot, array, ones
  from numpy.core import overrides
  from numpy.lib.twodim_base import diag, vander
  from numpy.lib.function_base import trim_zeros
  from numpy.lib.type_check import iscomplex, real, imag, mintypecode
  from numpy.linalg import eigvals, lstsq, inv
label_desc: Use image node_id 12 for calling a global function with example usage: polyval(p, x) and returns: y