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* @license Apache-2.0
*
* Copyright (c) 2020 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 isnanf = require( '@stdlib/math/base/assert/is-nanf' );
var isInfinitef = require( '@stdlib/math/base/assert/is-infinitef' );
var PINF = require( '@stdlib/constants/float32/pinf' );
var sqrtf = require( '@stdlib/math/base/special/sqrtf' );
// MAIN //
/**
* Computes the hypotenuse avoiding overflow and underflow (single-precision).
*
* @param {number} x - number
* @param {number} y - number
* @returns {number} hypotenuse
*
* @example
* var h = hypotf( -5.0, 12.0 );
* // returns 13.0
*
* @example
* var h = hypotf( NaN, 12.0 );
* // returns NaN
*
* @example
* var h = hypotf( -0.0, -0.0 );
* // returns 0.0
*/
function hypotf( x, y ) {
var tmp;
// If one of the arguments is `+-infinity`, return `+infinity` even if the other argument is `NaN` (IEEE 754-2019)...
if ( isInfinitef( x ) || isInfinitef( y ) ) {
return PINF;
}
if ( isnanf( x ) || isnanf( y ) ) {
return NaN;
}
x = float64ToFloat32( x );
y = float64ToFloat32( y );
if ( x < 0.0 ) {
x = -x;
}
if ( y < 0.0 ) {
y = -y;
}
if ( x < y ) {
tmp = y;
y = x;
x = tmp;
}
if ( x === 0.0 ) {
return 0.0;
}
y = float64ToFloat32( y / x );
return float64ToFloat32( x * sqrtf( float64ToFloat32( 1.0 + float64ToFloat32(y*y) ) ) ); // eslint-disable-line max-len
}
// EXPORTS //
module.exports = hypotf;
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