Press n or j to go to the next uncovered block, b, p or k for the previous block.
| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 | 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 6544x 6544x 6544x 6544x 6544x 6544x 6544x 6544x 3x 3x 6544x 3269x 3269x 3269x 6541x 6544x 1009x 1009x 5532x 5532x 1006x 1006x 4526x 4526x 2514x 2514x 2514x 2514x 2012x 2012x 2012x 2012x 2012x 2012x 6544x 6544x 1x 1x 1x 1x 1x | /**
* @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/s_asinh.c?view=markup}. The implementation follows the original, but has been modified for JavaScript.
*
* ```text
* Copyright (C) 2004 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 isinfinitef = require( '@stdlib/math/base/assert/is-infinitef' );
var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
var log1pf = require( '@stdlib/math/base/special/log1pf' );
var sqrtf = require( '@stdlib/math/base/special/sqrtf' );
var LN2 = require( '@stdlib/constants/float32/ln-two' );
var f32 = require( '@stdlib/number/float64/base/to-float32' );
var lnf = require( '@stdlib/math/base/special/lnf' );
// VARIABLES //
var ZERO = f32( 0.0 );
var ONE = f32( 1.0 );
var TWO = f32( 2.0 );
var HUGE = f32( 1 << 28 ); // 2**28
var NEAR_ZERO = f32( ONE / HUGE ); // 2**-28
// MAIN //
/**
* Computes the hyperbolic arcsine of a single-precision floating-point number.
*
* ## Method
*
* Based on
*
* ```tex
* \operatorname{asinh}(x) = \operatorname{sgn}(x) \cdot \log \left( |x| + \sqrt{x^2 + 1} \right)
* ```
*
* we have
*
* ```tex
* \operatorname{asinh}(x) = \begin{cases}
* x & \text{ if } 1+x^2 =1, \\
* \operatorname{sgn}(x) \cdot \left( \log(x) + \tfrac{\ln}{2} \right) & \text{ if large } |x| \\
* \operatorname{sgn}(x) \cdot \log\left( 2 |x| + 1 / ( |x|+ \sqrt{x^2+1} ) \right) & \text{ if } |x| > 2 \\
* \operatorname{sgn}(x) \cdot \operatorname{log1p}\left( |x| + \tfrac{x^2}{1 + \sqrt{1+x^2}} \right) & \text{otherwise}
* \end{cases}
* ```
*
* @param {number} x - input value
* @returns {number} hyperbolic arcsine
*
* @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 ) {
var sgn;
var xx;
var s;
var t;
x = f32( x );
if ( isnanf( x ) || isinfinitef( x ) ) {
return x;
}
if ( x < ZERO ) {
x = -x;
sgn = true;
}
// Case: |x| < 2**-28
if ( x < NEAR_ZERO ) {
t = x;
}
// Case: |x| > 2**28
else if ( x > HUGE ) {
t = f32( lnf( x ) + LN2 );
}
// Case: 2**28 > |x| > 2.0
else if ( x > TWO ) {
xx = f32( x*x );
s = sqrtf( xx + ONE );
t = lnf( f32( TWO*x ) + f32( ONE / f32( s + x ) ) );
}
// Case: 2.0 > |x| > 2**-28
else {
xx = f32( x*x );
s = sqrtf( ONE + xx );
t = log1pf( x + f32( xx / f32( ONE + s ) ) );
}
return ( sgn ) ? -t : t;
}
// EXPORTS //
module.exports = asinhf;
|