diff options
Diffstat (limited to 'numpy/polynomial/legendre.py')
| -rw-r--r-- | numpy/polynomial/legendre.py | 91 |
1 files changed, 43 insertions, 48 deletions
diff --git a/numpy/polynomial/legendre.py b/numpy/polynomial/legendre.py index 281982d0b..85fd5b18b 100644 --- a/numpy/polynomial/legendre.py +++ b/numpy/polynomial/legendre.py @@ -1,8 +1,7 @@ """ -Legendre Series (:mod: `numpy.polynomial.legendre`) -=================================================== - -.. currentmodule:: numpy.polynomial.polynomial +================================================== +Legendre Series (:mod:`numpy.polynomial.legendre`) +================================================== This module provides a number of objects (mostly functions) useful for dealing with Legendre series, including a `Legendre` class that @@ -10,16 +9,23 @@ encapsulates the usual arithmetic operations. (General information on how this module represents and works with such polynomials is in the docstring for its "parent" sub-package, `numpy.polynomial`). +Classes +------- +.. autosummary:: + :toctree: generated/ + + Legendre + Constants --------- .. autosummary:: :toctree: generated/ - legdomain Legendre series default domain, [-1,1]. - legzero Legendre series that evaluates identically to 0. - legone Legendre series that evaluates identically to 1. - legx Legendre series for the identity map, ``f(x) = x``. + legdomain + legzero + legone + legx Arithmetic ---------- @@ -27,17 +33,17 @@ Arithmetic .. autosummary:: :toctree: generated/ - legadd add two Legendre series. - legsub subtract one Legendre series from another. - legmulx multiply a Legendre series in ``P_i(x)`` by ``x``. - legmul multiply two Legendre series. - legdiv divide one Legendre series by another. - legpow raise a Legendre series to a positive integer power. - legval evaluate a Legendre series at given points. - legval2d evaluate a 2D Legendre series at given points. - legval3d evaluate a 3D Legendre series at given points. - leggrid2d evaluate a 2D Legendre series on a Cartesian product. - leggrid3d evaluate a 3D Legendre series on a Cartesian product. + legadd + legsub + legmulx + legmul + legdiv + legpow + legval + legval2d + legval3d + leggrid2d + leggrid3d Calculus -------- @@ -45,8 +51,8 @@ Calculus .. autosummary:: :toctree: generated/ - legder differentiate a Legendre series. - legint integrate a Legendre series. + legder + legint Misc Functions -------------- @@ -54,36 +60,25 @@ Misc Functions .. autosummary:: :toctree: generated/ - legfromroots create a Legendre series with specified roots. - legroots find the roots of a Legendre series. - legvander Vandermonde-like matrix for Legendre polynomials. - legvander2d Vandermonde-like matrix for 2D power series. - legvander3d Vandermonde-like matrix for 3D power series. - leggauss Gauss-Legendre quadrature, points and weights. - legweight Legendre weight function. - legcompanion symmetrized companion matrix in Legendre form. - legfit least-squares fit returning a Legendre series. - legtrim trim leading coefficients from a Legendre series. - legline Legendre series representing given straight line. - leg2poly convert a Legendre series to a polynomial. - poly2leg convert a polynomial to a Legendre series. - -Classes -------- - Legendre A Legendre series class. + legfromroots + legroots + legvander + legvander2d + legvander3d + leggauss + legweight + legcompanion + legfit + legtrim + legline + leg2poly + poly2leg See also -------- -numpy.polynomial.polynomial -numpy.polynomial.chebyshev -numpy.polynomial.laguerre -numpy.polynomial.hermite -numpy.polynomial.hermite_e +numpy.polynomial """ -from __future__ import division, absolute_import, print_function - -import warnings import numpy as np import numpy.linalg as la from numpy.core.multiarray import normalize_axis_index @@ -1229,7 +1224,7 @@ def legvander2d(x, y, deg): .. versionadded:: 1.7.0 """ - return pu._vander2d(legvander, x, y, deg) + return pu._vander_nd_flat((legvander, legvander), (x, y), deg) def legvander3d(x, y, z, deg): @@ -1283,7 +1278,7 @@ def legvander3d(x, y, z, deg): .. versionadded:: 1.7.0 """ - return pu._vander3d(legvander, x, y, z, deg) + return pu._vander_nd_flat((legvander, legvander, legvander), (x, y, z), deg) def legfit(x, y, deg, rcond=None, full=False, w=None): |