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* @license Apache-2.0
*
* Copyright (c) 2024 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 float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
var constantFunction = require( '@stdlib/utils/constant-function' );
var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
var isint = require( '@stdlib/math/base/assert/is-integer' );
// MAIN //
/**
* Returns a function for evaluating a normalized Hermite polynomial using single-precision floating-point arithmetic.
*
* @param {NonNegativeInteger} n - polynomial degree
* @returns {Function} function for evaluating a normalized Hermite polynomial
*
* @example
* var polyval = factory( 2 );
*
* var v = polyval( 0.5 );
* // returns -0.75
*/
function factory( n ) {
if ( n < 0 || isnanf( n ) || !isint( n ) ) {
return constantFunction( NaN );
}
if ( n === 0 ) {
return constantFunction( 1.0 );
}
return polyval;
/**
* Evaluates a normalized Hermite polynomial using single-precision floating-point arithmetic.
*
* @private
* @param {number} x - value at which to evaluate a normalized Hermite polynomial
* @returns {number} result
*/
function polyval( x ) {
var y1;
var y2;
var y3;
var i;
if ( isnanf( x ) ) {
return NaN;
}
x = float64ToFloat32( x );
y2 = 1.0;
y3 = 0.0;
for ( i = n; i > 1; i-- ) {
y1 = float64ToFloat32( float64ToFloat32( x*y2 ) - float64ToFloat32( i*y3 ) ); // eslint-disable-line max-len
y3 = y2;
y2 = y1;
}
return float64ToFloat32( float64ToFloat32( x*y2 ) - y3 );
}
}
// EXPORTS //
module.exports = factory;
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