All files / math/base/special/gamma-lanczos-sum-expg-scaledf/lib rational_pq.js

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/**
* @license Apache-2.0
*
* Copyright (c) 2025 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.
*/
 
/* This is a generated file. Do not edit directly. */
'use strict';
 
// MODULES //
 
var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
 
 
// MAIN //
 
/**
* Evaluates a rational function (i.e., the ratio of two polynomials described by the coefficients stored in \\(P\\) and \\(Q\\)).
*
* ## Notes
*
* -   Coefficients should be sorted in ascending degree.
* -   The implementation uses [Horner's rule][horners-method] for efficient computation.
*
* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method
*
* @private
* @param {number} x - value at which to evaluate the rational function
* @returns {number} evaluated rational function
*/
function evalrational( x ) {
	var ax;
	var s1;
	var s2;
	if ( x === 0.0 ) {
		return Infinity;
	}
	if ( x < 0.0 ) {
		ax = -x;
	} else {
		ax = x;
	}
	if ( ax <= 1.0 ) {
		s1 = float64ToFloat32(14.026143074035645 + float64ToFloat32(x * float64ToFloat32(43.7473258972168 + float64ToFloat32(x * float64ToFloat32(50.59547424316406 + float64ToFloat32(x * float64ToFloat32(26.90456771850586 + float64ToFloat32(x * float64ToFloat32(6.595765590667725 + float64ToFloat32(x * 0.6007853746414185)))))))))); // eslint-disable-line max-len
		s2 = float64ToFloat32(0.0 + float64ToFloat32(x * float64ToFloat32(24.0 + float64ToFloat32(x * float64ToFloat32(50.0 + float64ToFloat32(x * float64ToFloat32(35.0 + float64ToFloat32(x * float64ToFloat32(10.0 + float64ToFloat32(x * 1.0)))))))))); // eslint-disable-line max-len
	} else {
		x = float64ToFloat32( 1.0 / x );
		s1 = float64ToFloat32(0.6007853746414185 + float64ToFloat32(x * float64ToFloat32(6.595765590667725 + float64ToFloat32(x * float64ToFloat32(26.90456771850586 + float64ToFloat32(x * float64ToFloat32(50.59547424316406 + float64ToFloat32(x * float64ToFloat32(43.7473258972168 + float64ToFloat32(x * 14.026143074035645)))))))))); // eslint-disable-line max-len
		s2 = float64ToFloat32(1.0 + float64ToFloat32(x * float64ToFloat32(10.0 + float64ToFloat32(x * float64ToFloat32(35.0 + float64ToFloat32(x * float64ToFloat32(50.0 + float64ToFloat32(x * float64ToFloat32(24.0 + float64ToFloat32(x * 0.0)))))))))); // eslint-disable-line max-len
	}
	return float64ToFloat32( s1 / s2 );
}
 
 
// EXPORTS //
 
module.exports = evalrational;