229 lines
4.0 KiB
Python
229 lines
4.0 KiB
Python
|
"""
|
||
|
|
========================================
|
||
|
|
Interpolation (:mod:`scipy.interpolate`)
|
||
|
|
========================================
|
||
|
|
|
||
|
|
.. currentmodule:: scipy.interpolate
|
||
|
|
|
||
|
|
Sub-package for functions and objects used in interpolation.
|
||
|
|
|
||
|
|
See the :ref:`user guide <tutorial-interpolate>` for recommendations on choosing a
|
||
|
|
routine, and other usage details.
|
||
|
|
|
||
|
|
|
||
|
|
Univariate interpolation
|
||
|
|
========================
|
||
|
|
|
||
|
|
.. autosummary::
|
||
|
|
:toctree: generated/
|
||
|
|
|
||
|
|
make_interp_spline
|
||
|
|
CubicSpline
|
||
|
|
PchipInterpolator
|
||
|
|
Akima1DInterpolator
|
||
|
|
FloaterHormannInterpolator
|
||
|
|
BarycentricInterpolator
|
||
|
|
KroghInterpolator
|
||
|
|
CubicHermiteSpline
|
||
|
|
|
||
|
|
**Low-level data structures for univariate interpolation:**
|
||
|
|
|
||
|
|
.. autosummary::
|
||
|
|
:toctree: generated/
|
||
|
|
|
||
|
|
PPoly
|
||
|
|
BPoly
|
||
|
|
BSpline
|
||
|
|
|
||
|
|
|
||
|
|
Multivariate interpolation
|
||
|
|
==========================
|
||
|
|
|
||
|
|
**Unstructured data**
|
||
|
|
|
||
|
|
.. autosummary::
|
||
|
|
:toctree: generated/
|
||
|
|
|
||
|
|
LinearNDInterpolator
|
||
|
|
NearestNDInterpolator
|
||
|
|
CloughTocher2DInterpolator
|
||
|
|
RBFInterpolator
|
||
|
|
|
||
|
|
**For data on a grid:**
|
||
|
|
|
||
|
|
.. autosummary::
|
||
|
|
:toctree: generated/
|
||
|
|
|
||
|
|
RegularGridInterpolator
|
||
|
|
|
||
|
|
.. seealso::
|
||
|
|
|
||
|
|
`scipy.ndimage.map_coordinates`,
|
||
|
|
:ref:`An example wrapper for map_coordinates <tutorial-interpolate_cartesian-grids>`
|
||
|
|
|
||
|
|
|
||
|
|
**Low-level data structures for tensor product polynomials and splines:**
|
||
|
|
|
||
|
|
|
||
|
|
.. autosummary::
|
||
|
|
:toctree: generated/
|
||
|
|
|
||
|
|
NdPPoly
|
||
|
|
NdBSpline
|
||
|
|
|
||
|
|
|
||
|
|
1-D spline smoothing and approximation
|
||
|
|
======================================
|
||
|
|
|
||
|
|
.. autosummary::
|
||
|
|
:toctree: generated/
|
||
|
|
|
||
|
|
make_lsq_spline
|
||
|
|
make_smoothing_spline
|
||
|
|
make_splrep
|
||
|
|
make_splprep
|
||
|
|
generate_knots
|
||
|
|
|
||
|
|
Rational Approximation
|
||
|
|
======================
|
||
|
|
|
||
|
|
.. autosummary::
|
||
|
|
:toctree: generated/
|
||
|
|
|
||
|
|
AAA
|
||
|
|
|
||
|
|
|
||
|
|
Interfaces to FITPACK routines for 1D and 2D spline fitting
|
||
|
|
===========================================================
|
||
|
|
|
||
|
|
This section lists wrappers for `FITPACK <http://www.netlib.org/dierckx/>`__
|
||
|
|
functionality for 1D and 2D smoothing splines. In most cases, users are better off
|
||
|
|
using higher-level routines listed in previous sections.
|
||
|
|
|
||
|
|
|
||
|
|
1D FITPACK splines
|
||
|
|
------------------
|
||
|
|
|
||
|
|
This package provides two sets of functionally equivalent wrappers: object-oriented and
|
||
|
|
functional.
|
||
|
|
|
||
|
|
**Functional FITPACK interface:**
|
||
|
|
|
||
|
|
|
||
|
|
.. autosummary::
|
||
|
|
:toctree: generated/
|
||
|
|
|
||
|
|
splrep
|
||
|
|
splprep
|
||
|
|
splev
|
||
|
|
splint
|
||
|
|
sproot
|
||
|
|
spalde
|
||
|
|
splder
|
||
|
|
splantider
|
||
|
|
insert
|
||
|
|
|
||
|
|
**Object-oriented FITPACK interface:**
|
||
|
|
|
||
|
|
.. autosummary::
|
||
|
|
:toctree: generated/
|
||
|
|
|
||
|
|
UnivariateSpline
|
||
|
|
InterpolatedUnivariateSpline
|
||
|
|
LSQUnivariateSpline
|
||
|
|
|
||
|
|
|
||
|
|
2D FITPACK splines
|
||
|
|
------------------
|
||
|
|
|
||
|
|
**For data on a grid:**
|
||
|
|
|
||
|
|
.. autosummary::
|
||
|
|
:toctree: generated/
|
||
|
|
|
||
|
|
RectBivariateSpline
|
||
|
|
RectSphereBivariateSpline
|
||
|
|
|
||
|
|
**For unstructured data (OOP interface):**
|
||
|
|
|
||
|
|
.. autosummary::
|
||
|
|
:toctree: generated/
|
||
|
|
|
||
|
|
BivariateSpline
|
||
|
|
SmoothBivariateSpline
|
||
|
|
SmoothSphereBivariateSpline
|
||
|
|
LSQBivariateSpline
|
||
|
|
LSQSphereBivariateSpline
|
||
|
|
|
||
|
|
**For unstructured data (functional interface):**
|
||
|
|
|
||
|
|
.. autosummary::
|
||
|
|
:toctree: generated/
|
||
|
|
|
||
|
|
bisplrep
|
||
|
|
bisplev
|
||
|
|
|
||
|
|
|
||
|
|
Additional tools
|
||
|
|
================
|
||
|
|
|
||
|
|
.. autosummary::
|
||
|
|
:toctree: generated/
|
||
|
|
|
||
|
|
lagrange
|
||
|
|
approximate_taylor_polynomial
|
||
|
|
pade
|
||
|
|
|
||
|
|
interpn
|
||
|
|
griddata
|
||
|
|
barycentric_interpolate
|
||
|
|
krogh_interpolate
|
||
|
|
pchip_interpolate
|
||
|
|
Rbf
|
||
|
|
interp1d
|
||
|
|
interp2d
|
||
|
|
|
||
|
|
.. seealso::
|
||
|
|
|
||
|
|
`scipy.ndimage.map_coordinates`,
|
||
|
|
`scipy.ndimage.spline_filter`,
|
||
|
|
|
||
|
|
""" # noqa: E501
|
||
|
|
from ._interpolate import *
|
||
|
|
from ._fitpack_py import *
|
||
|
|
|
||
|
|
from ._fitpack2 import *
|
||
|
|
|
||
|
|
from ._rbf import Rbf
|
||
|
|
|
||
|
|
from ._rbfinterp import *
|
||
|
|
|
||
|
|
from ._polyint import *
|
||
|
|
|
||
|
|
from ._cubic import *
|
||
|
|
|
||
|
|
from ._ndgriddata import *
|
||
|
|
|
||
|
|
from ._bsplines import *
|
||
|
|
from ._fitpack_repro import generate_knots, make_splrep, make_splprep
|
||
|
|
|
||
|
|
from ._pade import *
|
||
|
|
|
||
|
|
from ._rgi import *
|
||
|
|
|
||
|
|
from ._ndbspline import NdBSpline
|
||
|
|
|
||
|
|
from ._bary_rational import *
|
||
|
|
|
||
|
|
# Deprecated namespaces, to be removed in v2.0.0
|
||
|
|
from . import fitpack, fitpack2, interpolate, ndgriddata, polyint, rbf, interpnd
|
||
|
|
|
||
|
|
__all__ = [s for s in dir() if not s.startswith('_')]
|
||
|
|
|
||
|
|
from scipy._lib._testutils import PytestTester
|
||
|
|
test = PytestTester(__name__)
|
||
|
|
del PytestTester
|
||
|
|
|
||
|
|
# Backward compatibility
|
||
|
|
pchip = PchipInterpolator
|