# scipy.interpolate.pchip_interpolate

scipy.interpolate.pchip_interpolate(xi, yi, x, der=0, axis=0)

  Convenience function for pchip interpolation.

  xi and yi are arrays of values used to approximate some function f, with `yi = f(xi)`. The interpolant uses monotonic cubic splines to find the value of new points x and the derivatives there.

  See `scipy.interpolate.PchipInterpolator` for details.

  Parameters:
    xi array_like

      A sorted list of x-coordinates, of length N.

    yi array_like

      A 1-D array of real values. yi’s length along the interpolation axis must be equal to the length of xi. If N-D array, use axis parameter to select correct axis.

    x scalar or array_like

      Of length M.

    der int or list, optional

      Derivatives to extract. The 0th derivative can be included to return the function value.

    axis int, optional

      Axis in the yi array corresponding to the x-coordinate values.

  Returns:
    y scalar or array_like

      The result, of length R or length M or M by R.

  See also

  `PchipInterpolator`

    PCHIP 1-D monotonic cubic interpolator.

  Examples

  We can interpolate 2D observed data using pchip interpolation:

      >>> import numpy as np
      >>> import matplotlib.pyplot as plt
      >>> from scipy.interpolate import pchip_interpolate
      >>> x_observed = np.linspace(0.0, 10.0, 11)
      >>> y_observed = np.sin(x_observed)
      >>> x = np.linspace(min(x_observed), max(x_observed), num=100)
      >>> y = pchip_interpolate(x_observed, y_observed, x)
      >>> plt.plot(x_observed, y_observed, "o", label="observation")
      >>> plt.plot(x, y, label="pchip interpolation")
      >>> plt.legend()
      >>> plt.show()