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Diffstat (limited to 'numpy/polynomial/laguerre.py')
| -rw-r--r-- | numpy/polynomial/laguerre.py | 64 |
1 files changed, 52 insertions, 12 deletions
diff --git a/numpy/polynomial/laguerre.py b/numpy/polynomial/laguerre.py index b7ffe9b0c..9d88162ce 100644 --- a/numpy/polynomial/laguerre.py +++ b/numpy/polynomial/laguerre.py @@ -59,11 +59,12 @@ See also """ from __future__ import division, absolute_import, print_function +import warnings import numpy as np import numpy.linalg as la + from . import polyutils as pu -import warnings -from .polytemplate import polytemplate +from ._polybase import ABCPolyBase __all__ = ['lagzero', 'lagone', 'lagx', 'lagdomain', 'lagline', 'lagadd', 'lagsub', 'lagmulx', 'lagmul', 'lagdiv', 'lagpow', @@ -1378,11 +1379,6 @@ def lagfit(x, y, deg, rcond=None, full=False, w=None): where `n` is `deg`. - Since numpy version 1.7.0, lagfit also supports NA. If any of the - elements of `x`, `y`, or `w` are NA, then the corresponding rows of the - linear least squares problem (see Notes) are set to 0. If `y` is 2-D, - then an NA in any row of `y` invalidates that whole row. - Parameters ---------- x : array_like, shape (M,) @@ -1415,10 +1411,15 @@ def lagfit(x, y, deg, rcond=None, full=False, w=None): the coefficients for the data in column k of `y` are in column `k`. - [residuals, rank, singular_values, rcond] : present when `full` = True - Residuals of the least-squares fit, the effective rank of the - scaled Vandermonde matrix and its singular values, and the - specified value of `rcond`. For more details, see `linalg.lstsq`. + [residuals, rank, singular_values, rcond] : list + These values are only returned if `full` = True + + resid -- sum of squared residuals of the least squares fit + rank -- the numerical rank of the scaled Vandermonde matrix + sv -- singular values of the scaled Vandermonde matrix + rcond -- value of `rcond`. + + For more details, see `linalg.lstsq`. Warns ----- @@ -1739,4 +1740,43 @@ def lagweight(x): # Laguerre series class # -exec(polytemplate.substitute(name='Laguerre', nick='lag', domain='[-1,1]')) +class Laguerre(ABCPolyBase): + """A Laguerre series class. + + The Laguerre class provides the standard Python numerical methods + '+', '-', '*', '//', '%', 'divmod', '**', and '()' as well as the + attributes and methods listed in the `ABCPolyBase` documentation. + + Parameters + ---------- + coef : array_like + Laguerre coefficients in order of increasing degree, i.e, + ``(1, 2, 3)`` gives ``1*L_0(x) + 2*L_1(X) + 3*L_2(x)``. + domain : (2,) array_like, optional + Domain to use. The interval ``[domain[0], domain[1]]`` is mapped + to the interval ``[window[0], window[1]]`` by shifting and scaling. + The default value is [0, 1]. + window : (2,) array_like, optional + Window, see `domain` for its use. The default value is [0, 1]. + + .. versionadded:: 1.6.0 + + """ + # Virtual Functions + _add = staticmethod(lagadd) + _sub = staticmethod(lagsub) + _mul = staticmethod(lagmul) + _div = staticmethod(lagdiv) + _pow = staticmethod(lagpow) + _val = staticmethod(lagval) + _int = staticmethod(lagint) + _der = staticmethod(lagder) + _fit = staticmethod(lagfit) + _line = staticmethod(lagline) + _roots = staticmethod(lagroots) + _fromroots = staticmethod(lagfromroots) + + # Virtual properties + nickname = 'lag' + domain = np.array(lagdomain) + window = np.array(lagdomain) |