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* @license Apache-2.0
*
* Copyright (c) 2022 The Stdlib Authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
'use strict';
// MODULES //
var lngamma = require( '@stdlib/math/base/special/gammaln' );
var sqrt = require( '@stdlib/math/base/special/sqrt' );
var abs = require( '@stdlib/math/base/special/abs' );
var exp = require( '@stdlib/math/base/special/exp' );
var ln = require( '@stdlib/math/base/special/ln' );
var LN_TWO = require( '@stdlib/constants/float64/ln-two' );
var prangeVInf = require( './prange_v_inf.js' );
// MAIN //
/**
* Evaluates a Gauss-Legendre quadrature.
*
* @private
* @param {number} q - quadrature point
* @param {number} za - integral bound
* @param {number} aii - integral bound
* @param {number} c - integral upper bound
* @param {number} r - relative error tolerance
* @param {number} v - number of integration variables
* @param {number} l - logarithm of the absolute value of the integral
* @returns {number} integral value
*/
function f26( q, za, aii, c, r, v, l ) {
var aux1;
var yyi;
var aux;
yyi = ( za * l ) + ( 2.0 * aii * l ) + l;
aux1 = prangeVInf( sqrt(yyi / 2.0) * q, r );
if ( aux1 === 0 ) {
aux1 = 1.0e-37;
}
aux = ( c * ln(aux1) ) + ln(l) + ( (v / 2.0) * ln(v) ) +
( -yyi * v / 4.0 ) + ( ( ( v / 2.0 ) - 1.0 ) * ln(yyi) ) -
( ( v * LN_TWO ) + lngamma( v / 2.0 ) );
if ( abs( aux ) >= 1.0e30 ) {
return 0.0;
}
return exp( aux );
}
// EXPORTS //
module.exports = f26;
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