numpy.polynomial.legendre.Legendre#
- class numpy.polynomial.legendre.Legendre(coef, domain=None, window=None)[source]#
A Legendre series class.
The Legendre class provides the standard Python numerical methods ‘+’, ‘-’, ‘*’, ‘//’, ‘%’, ‘divmod’, ‘**’, and ‘()’ as well as the attributes and methods listed in the
ABCPolyBasedocumentation.- Parameters
- coefarray_like
Legendre coefficients in order of increasing degree, i.e.,
(1, 2, 3)gives1*P_0(x) + 2*P_1(x) + 3*P_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 [-1, 1].- window(2,) array_like, optional
Window, see
domainfor its use. The default value is [-1, 1].New in version 1.6.0.
Methods
__call__(arg)Call self as a function.
basis(deg[, domain, window])Series basis polynomial of degree deg.
cast(series[, domain, window])Convert series to series of this class.
convert([domain, kind, window])Convert series to a different kind and/or domain and/or window.
copy()Return a copy.
cutdeg(deg)Truncate series to the given degree.
degree()The degree of the series.
deriv([m])Differentiate.
fit(x, y, deg[, domain, rcond, full, w, window])Least squares fit to data.
fromroots(roots[, domain, window])Return series instance that has the specified roots.
has_samecoef(other)Check if coefficients match.
has_samedomain(other)Check if domains match.
has_sametype(other)Check if types match.
has_samewindow(other)Check if windows match.
identity([domain, window])Identity function.
integ([m, k, lbnd])Integrate.
linspace([n, domain])Return x, y values at equally spaced points in domain.
mapparms()Return the mapping parameters.
roots()Return the roots of the series polynomial.
trim([tol])Remove trailing coefficients
truncate(size)Truncate series to length size.