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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 isinfinitef = require( '@stdlib/math/base/assert/is-infinitef' );
var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
var lnf = require( '@stdlib/math/base/special/lnf' );
var sqrtf = require( '@stdlib/math/base/special/sqrtf' );
var f32 = require( '@stdlib/number/float64/base/to-float32' );
// MAIN //
/**
* Computes the hyperbolic arcsine of a single-precision floating-point number.
*
* @param {number} x - input value
* @returns {number} hyperbolic arcsine (in radians)
*
* @example
* var v = asinhf( 0.0 );
* // returns 0.0
*
* @example
* var v = asinhf( 2.0 );
* // returns ~1.444
*
* @example
* var v = asinhf( -2.0 );
* // returns ~-1.444
*
* @example
* var v = asinhf( NaN );
* // returns NaN
*/
function asinhf( x ) {
x = f32( x );
if (
x === f32( 0.0 ) || // +-0.0
isnanf( x ) ||
isinfinitef( x )
) {
return x;
}
if ( x > f32( 0.0 ) ) {
return lnf( f32( x + sqrtf( f32( x*x ) + f32( 1.0 ) ) ) );
}
// Better precision for large negative `x`:
return -lnf( f32( -x + sqrtf( f32( x*x ) + f32( 1.0 ) ) ) );
}
// EXPORTS //
module.exports = asinhf;
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