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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.
*
*
* ## Notice
*
* The following copyright, license, and long comment were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/12.2.0/lib/msun/src/e_acoshf.c?view=markup}. The implementation follows the original, but has been modified according to project conventions.
*
* ```text
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunPro, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ```
*/
'use strict';
// MODULES //
var f32 = require( '@stdlib/number/float64/base/to-float32' );
var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
var sqrtf = require( '@stdlib/math/base/special/sqrtf' );
var toWord = require( '@stdlib/number/float32/base/to-word' );
var lnf = require( '@stdlib/math/base/special/lnf' );
var log1pf = require( '@stdlib/math/base/special/log1pf' );
// VARIABLES //
var ONE = f32( 1.0 );
var LN2 = f32( 6.9314718246e-01 );
var H1 = 0x3f800000|0;
var H2 = 0x4d800000|0;
var H3 = 0x7f800000|0;
var H4 = 0x40000000|0;
// MAIN //
/* eslint-disable no-else-return */
/* eslint-disable no-mixed-operators */
/**
* Computes the hyperbolic arccosine of a single-precision floating-point number.
*
* @param {number} x - input value
* @returns {number} hyperbolic arccosine
*
* @example
* var v = acoshf( 1.0 );
* // returns 0.0
*
* @example
* var v = acoshf( 2.0 );
* // returns ~1.317
*
* @example
* var v = acoshf( NaN );
* // returns NaN
*/
function acoshf( x ) {
var hx;
var t;
if ( isnanf( x ) || x < 1.0 ) {
return NaN;
}
if ( x === 1.0 ) {
return 0.0;
}
x = f32( x );
hx = toWord( x ) | 0;
if ( hx < H1 ) { // x < 1
return f32( f32( x - x ) / f32( x - x ) );
} else if ( hx >= H2 ) { // x > 2**28
if ( hx >= H3 ) { // x is inf of NaN
return f32( x + x );
} else {
return f32( lnf( x ) + LN2 ); // acosh(huge)=ln(2x)
}
} else if ( hx === H1 ) {
return 0.0; // acosh(1) = 0
} else if ( hx > H4 ) { // 2**28 > x > 2
t = f32( x * x );
return f32( lnf( f32( f32( 2.0 * x ) - f32( ONE / f32( x + sqrtf( f32( t - ONE ) ) ) ) ) ) ); // eslint-disable-line max-len
} else { // 1<x<2
t = f32( x - ONE );
return f32( log1pf( f32( t + sqrtf( f32( f32( 2.0 ) * t + f32( t * t ) ) ) ) ) ); // eslint-disable-line max-len
}
}
// EXPORTS //
module.exports = acoshf;
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