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93 changes: 93 additions & 0 deletions lib/node_modules/@stdlib/constants/float16/half-ln-two/README.md
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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.

-->

# FLOAT16_HALF_LN2

> One half times the [natural logarithm][@stdlib/math/base/special/ln] of `2` as a half-precision floating-point number.

<section class="usage">

## Usage

```javascript
var FLOAT16_HALF_LN2 = require( '@stdlib/constants/float16/half-ln-two' );
```

#### FLOAT16_HALF_LN2

One half times the [natural logarithm][@stdlib/math/base/special/ln] of `2` as a half-precision floating-point number.

```javascript
var bool = ( FLOAT16_HALF_LN2 === 0.3466796875 );
// returns true
```

</section>

<!-- /.usage -->

<section class="examples">

## Examples

<!-- TODO: better example -->

<!-- eslint no-undef: "error" -->

```javascript
var FLOAT16_HALF_LN2 = require( '@stdlib/constants/float16/half-ln-two' );

console.log( FLOAT16_HALF_LN2 );
// => 0.3466796875
```

</section>

<!-- /.examples -->

<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->

<section class="related">

* * *

## See Also

- <span class="package-name">[`@stdlib/constants/float32/half-ln-two`][@stdlib/constants/float32/half-ln-two]</span><span class="delimiter">: </span><span class="description">one half times the natural logarithm of 2.</span>

</section>

<!-- /.related -->

<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->

<section class="links">

[@stdlib/math/base/special/ln]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/ln

<!-- <related-links> -->

[@stdlib/constants/float32/half-ln-two]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/constants/float32/half-ln-two

<!-- </related-links> -->

</section>

<!-- /.links -->
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{{alias}}
One half times the natural logarithm of 2 as a half-precision
floating-point number.

Examples
--------
> {{alias}}
0.3466796875

See Also
--------

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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.
*/

// TypeScript Version: 4.1

/**
* One half times the natural logarithm of 2 as a half-precision floating-point number.
*
* @example
* var val = FLOAT16_HALF_LN2;
* // returns 0.3466796875
*/
declare const FLOAT16_HALF_LN2: number;


// EXPORTS //

export = FLOAT16_HALF_LN2;
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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.
*/

import FLOAT16_HALF_LN2 = require( './index' );


// TESTS //

// The export is a number...
{
// eslint-disable-next-line @typescript-eslint/no-unused-expressions
FLOAT16_HALF_LN2; // $ExpectType number
}
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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';

var FLOAT16_HALF_LN2 = require( './../lib' );

console.log( FLOAT16_HALF_LN2 );
// => 0.3466796875
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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';

/**
* One half times the natural logarithm of 2 as a half-precision floating-point number.
*
* @module @stdlib/constants/float16/half-ln-two
* @type {number}
*
* @example
* var FLOAT16_HALF_LN2 = require( '@stdlib/constants/float16/half-ln-two' );
* // returns 0.3466796875
*/

// MAIN //

/**
* One half times the natural logarithm of 2 as a half-precision floating-point number.
*
* ```tex
* \frac{\ln 2}{2}
* ```
*
* @constant
* @type {number}
* @default 0.3466796875
*/
var FLOAT16_HALF_LN2 = 0.3466796875; // 0x3EB17218


// EXPORTS //

module.exports = FLOAT16_HALF_LN2;
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{
"name": "@stdlib/constants/float16/half-ln-two",
"version": "0.0.0",
"description": "One half times the natural logarithm of 2 as a half-precision floating-point number.",
"license": "Apache-2.0",
"author": {
"name": "The Stdlib Authors",
"url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
},
"contributors": [
{
"name": "The Stdlib Authors",
"url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
}
],
"main": "./lib",
"directories": {
"doc": "./docs",
"example": "./examples",
"lib": "./lib",
"test": "./test"
},
"types": "./docs/types",
"scripts": {},
"homepage": "https://github.com/stdlib-js/stdlib",
"repository": {
"type": "git",
"url": "git://github.com/stdlib-js/stdlib.git"
},
"bugs": {
"url": "https://github.com/stdlib-js/stdlib/issues"
},
"dependencies": {},
"devDependencies": {},
"engines": {
"node": ">=0.10.0",
"npm": ">2.7.0"
},
"os": [
"aix",
"darwin",
"freebsd",
"linux",
"macos",
"openbsd",
"sunos",
"win32",
"windows"
],
"keywords": [
"stdlib",
"stdmath",
"constant",
"const",
"mathematics",
"math",
"ln",
"ln2",
"half",
"natural",
"logarithm",
"log",
"ieee754",
"float",
"flt",
"precision",
"floating-point",
"float16"
]
}
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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 tape = require( 'tape' );
var lnf = require( '@stdlib/math/base/special/lnf' );
var absf = require( '@stdlib/math/base/special/absf' );
var EPS = require( '@stdlib/constants/float16/eps' );
var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float16' );
var FLOAT16_HALF_LN2 = require( './../lib' );


// TESTS //

tape( 'main export is a number', function test( t ) {
t.ok( true, __filename );
t.strictEqual( typeof FLOAT16_HALF_LN2, 'number', 'main export is a number' );
t.end();
});

tape( 'export is a half-precision floating-point number equal to `0.3466796875`', function test( t ) {
t.strictEqual( FLOAT16_HALF_LN2, float64ToFloat32( 3.46573590279972654709e-01 ), 'returns expected value' );
t.end();
});

tape( 'export equals `0.5*lnf(2)`', function test( t ) {
var delta;
var tol;
var v;

v = float64ToFloat32( 0.5 * lnf( 2.0 ) );
delta = absf( float64ToFloat32( v - FLOAT16_HALF_LN2 ) );
tol = EPS * FLOAT16_HALF_LN2;

t.ok( delta <= tol, 'equals 0.5*lnf(2) within tolerance '+tol );

t.end();
});