gaussJacobiQuadrature

Gauss-Jacobi Quadrature

@safe pure nothrow @nogc

size_t

(

)

(

scope T[] x

scope T[] w

scope T[] work

T alpha

T beta

)

Parameters

x T[]: (out) user-allocated quadrature nodes in ascending order length of N
w T[]: (out) user-allocated corresponding quadrature weights length of N
work T[]: (temp) user-allocated workspace length of greate or equal to (N + 1) ^^ 2
alpha T: parameter '> -1'
beta T: parameter '> -1'

Return Value

Type: size_t

0 on success, xSTEQR LAPACK code on numerical error.

Examples

import mir.math.common;
import mir.ndslice.allocation;

auto n = 5;
auto x = new double[n];
auto w = new double[n];
auto work = new double[(n + 1) ^^ 2];

gaussJacobiQuadrature(x, w, work, 2.3, 3.6);

static immutable xc =
   [-0.6553677 ,
    -0.29480426,
     0.09956621,
     0.47584565,
     0.78356514];

static immutable wc =
   [0.02262392,
    0.19871672,
    0.43585107,
    0.32146619,
    0.0615342 ];

foreach (i; 0 .. n)
{
    assert(x[i].approxEqual(xc[i]));
    assert(w[i].approxEqual(wc[i]));
}

gaussJacobiQuadrature

Parameters

Return Value

Examples

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