# scipy.interpolate.interp2d

class scipy.interpolate.interp2d(x, y, z, kind='linear', copy=True, bounds_error=False, fill_value=None)

  Deprecated since version 1.10.0: `interp2d` is deprecated in SciPy 1.10 and will be removed in SciPy 1.13.0.

  For legacy code, nearly bug-for-bug compatible replacements are `RectBivariateSpline` on regular grids, and `bisplrep`/`bisplev` for scattered 2D data.

  In new code, for regular grids use `RegularGridInterpolator` instead. For scattered data, prefer `LinearNDInterpolator` or `CloughTocher2DInterpolator`.

  For more details see https://scipy.github.io/devdocs/notebooks/interp_transition_guide.html

  Interpolate over a 2-D grid.

  x, y and z are arrays of values used to approximate some function f: `z = f(x, y)` which returns a scalar value z. This class returns a function whose call method uses spline interpolation to find the value of new points.

  If x and y represent a regular grid, consider using `RectBivariateSpline`.

  If z is a vector value, consider using `interpn`.

  Note that calling `interp2d` with NaNs present in input values, or with decreasing values in x an y results in undefined behaviour.

  Parameters:
    x, y array_like

      Arrays defining the data point coordinates. The data point coordinates need to be sorted by increasing order.

      If the points lie on a regular grid, x can specify the column coordinates and y the row coordinates, for example:

          >>> x = [0,1,2];  y = [0,3]; z = [[1,2,3], [4,5,6]]

      Otherwise, x and y must specify the full coordinates for each point, for example:

          >>> x = [0,1,2,0,1,2];  y = [0,0,0,3,3,3]; z = [1,4,2,5,3,6]

      If x and y are multidimensional, they are flattened before use.

    z array_like

      The values of the function to interpolate at the data points. If z is a multidimensional array, it is flattened before use assuming Fortran-ordering (order=’F’). The length of a flattened z array is either len(x)*len(y) if x and y specify the column and row coordinates or `len(z) == len(x) == len(y)` if x and y specify coordinates for each point.

    kind{‘linear’, ‘cubic’, ‘quintic’}, optional

      The kind of spline interpolation to use. Default is ‘linear’.

    copy bool, optional

      If True, the class makes internal copies of x, y and z. If False, references may be used. The default is to copy.

    bounds_error bool, optional

      If True, when interpolated values are requested outside of the domain of the input data (x,y), a ValueError is raised. If False, then fill_value is used.

    fill_value number, optional

      If provided, the value to use for points outside of the interpolation domain. If omitted (None), values outside the domain are extrapolated via nearest-neighbor extrapolation.

  See also

  `RectBivariateSpline`

    Much faster 2-D interpolation if your input data is on a grid

  `bisplrep`, `bisplev`

    Spline interpolation based on FITPACK

  `BivariateSpline`

    a more recent wrapper of the FITPACK routines

  `interp1d`

    1-D version of this function

  `RegularGridInterpolator`

    interpolation on a regular or rectilinear grid in arbitrary dimensions.

  `interpn`

    Multidimensional interpolation on regular grids (wraps `RegularGridInterpolator` and `RectBivariateSpline`).

  Notes

  The minimum number of data points required along the interpolation axis is `(k+1)**2`, with k=1 for linear, k=3 for cubic and k=5 for quintic interpolation.

  The interpolator is constructed by `bisplrep`, with a smoothing factor of 0. If more control over smoothing is needed, `bisplrep` should be used directly.

  The coordinates of the data points to interpolate xnew and ynew have to be sorted by ascending order. `interp2d` is legacy and is not recommended for use in new code. New code should use `RegularGridInterpolator` instead.

  Examples

  Construct a 2-D grid and interpolate on it:

      >>> import numpy as np
      >>> from scipy import interpolate
      >>> x = np.arange(-5.01, 5.01, 0.25)
      >>> y = np.arange(-5.01, 5.01, 0.25)
      >>> xx, yy = np.meshgrid(x, y)
      >>> z = np.sin(xx**2+yy**2)
      >>> f = interpolate.interp2d(x, y, z, kind='cubic')

  Now use the obtained interpolation function and plot the result:

      >>> import matplotlib.pyplot as plt
      >>> xnew = np.arange(-5.01, 5.01, 1e-2)
      >>> ynew = np.arange(-5.01, 5.01, 1e-2)
      >>> znew = f(xnew, ynew)
      >>> plt.plot(x, z[0, :], 'ro-', xnew, znew[0, :], 'b-')
      >>> plt.show()

  Methods

  `__call__`(x, y[, dx, dy, assume_sorted]) | `interp2d` is deprecated! `interp2d` is deprecated in SciPy 1.10 and will be removed in SciPy 1.13.0.