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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.
*/
'use strict';
// MODULES //
var abs = require( '@stdlib/math/base/special/abs' );
var FLOAT16_EPSILON = require( '@stdlib/constants/float16/eps' );
var FLOAT16_MAX = require( '@stdlib/constants/float16/max' );
var FLOAT16_MIN = require( '@stdlib/constants/float16/smallest-normal' );
var EPS = require( '@stdlib/constants/float64/eps' );
var PINF = require( '@stdlib/constants/float64/pinf' );
// VARIABLES //
var $isFinite = isFinite;
var inverseEpsilon = 1 / EPS;
// FUNCTIONS //
/**
* Performs banker's rounding (round-half-to-even) via floating-point arithmetic.
*
* @private
* @param {number} n - input value
* @returns {number} rounded value
*/
function roundTiesToEven( n ) {
return (n + inverseEpsilon) - inverseEpsilon;
}
// MAIN //
/**
* Converts a double-precision floating-point number to the nearest half-precision floating-point number.
*
* @param {number} x - double-precision floating-point number
* @returns {number} nearest half-precision floating-point number
*
* @example
* var y = float64ToFloat16( 1.337 );
* // returns 1.3369140625
*/
function float64ToFloat16( x ) {
var result;
var mod;
var a;
var s;
if ( x === 0 || isNaN( x ) || !$isFinite( x ) ) {
return x;
}
if ( x < 0 ) {
s = -1;
} else {
s = 1;
}
mod = abs( x );
if ( mod < FLOAT16_MIN ) {
return (
s * roundTiesToEven( mod / FLOAT16_MIN / FLOAT16_EPSILON ) * FLOAT16_MIN * FLOAT16_EPSILON // eslint-disable-line max-len
);
}
// Veltkamp's splitting
a = ( 1 + ( FLOAT16_EPSILON / EPS ) ) * mod;
result = a - ( a - mod );
if ( result > FLOAT16_MAX || isNaN( result ) ) {
return s * PINF;
}
return s * result;
}
// EXPORTS //
module.exports = float64ToFloat16;
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