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* @license Apache-2.0
*
* Copyright (c) 2026 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.
*
*
* ## Notice
*
* The original C code and copyright notice are from the [Cephes Mathematical Library]{@link https://www.netlib.org/cephes/}. The implementation has been modified for JavaScript.
*
* ```text
* (C) Copyright Stephen L. Moshier 1984, 1987, 1992, 2000.
*
* Use, modification and distribution are subject to the
* Cephes Mathematical Library License. (See accompanying file
* LICENSE or copy at https://smath.com/en-US/view/CephesMathLibrary/license)
* ```
*/
'use strict';
// MODULES //
var abs = require( '@stdlib/math/base/special/abs' );
var max = require( '@stdlib/math/base/special/max' );
// MAIN //
/**
* Evaluates 2F1(a, b; b; x) when `b = c` is a negative integer using AMS55 #15.4.2.
*
* @private
* @param {number} a - first parameter
* @param {number} b - second parameter (equals c, a non-positive integer)
* @param {number} x - argument
* @returns {number} function value, or NaN if precision is insufficient
*/
function hyp2f1NegCEqualBC( a, b, x ) {
var collectorMax;
var collector;
var sum;
var k;
collectorMax = 1.0;
collector = 1.0;
sum = 1.0;
if ( abs( b ) >= 1.0e5 ) {
return NaN;
}
for ( k = 1; k <= -b; k++ ) {
collector *= ( ( a + k - 1.0 ) * x ) / k;
collectorMax = max( abs( collector ), collectorMax );
sum += collector;
}
if ( 1.0e-16 * ( 1.0 + ( collectorMax / abs( sum ) ) ) > 1.0e-7 ) {
return NaN;
}
return sum;
}
// EXPORTS //
module.exports = hyp2f1NegCEqualBC;
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