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feat: add math/base/special/asind #1781

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108 changes: 108 additions & 0 deletions lib/node_modules/@stdlib/math/base/special/asind/README.md
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<!--

@license Apache-2.0

Copyright (c) 2024 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.

-->

# asind

> Compute the [arcsine][arcsine] in degrees of a double-precision floating-point number.

<section class="usage">

## Usage

```javascript
var asind = require( '@stdlib/math/base/special/asind' );
```

#### asind( x )

Computes the [arcsine][arcsine] (in degrees) of a double-precision floating-point number.

```javascript
var sqrt = require( '@stdlib/math/base/special/sqrt' );
var v = asind( 0.0 );
// returns 0.0

v = asind( 0.5 );
// returns ~30.0

v = asind( sqrt( 2.0 ) / 2.0 );
// returns ~45.0

v = asind( sqrt( 3.0 ) / 2.0 );
// returns ~60.0

v = asind( NaN );
// returns NaN
```

The domain of `x` is restricted to `[-1,1]`. If `|x| > 1`, the function returns `NaN`.

```javascript
var v = asind( -3.14 );
// returns NaN
```

</section>

<!-- /.usage -->

<section class="examples">

## Examples

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

```javascript
var linspace = require( '@stdlib/array/base/linspace' );
var asind = require( '@stdlib/math/base/special/asind' );

var x = linspace( -1.0, 1.0, 100 );

var i;
for ( i = 0; i < x.length; i++ ) {
console.log( asind( x[ i ] ) );
}
```

</section>

<!-- /.examples -->

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

<section class="related">

</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">

[arcsine]: https://en.wikipedia.org/wiki/Inverse_trigonometric_functions

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

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

</section>

<!-- /.links -->
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/**
* @license Apache-2.0
*
* Copyright (c) 2024 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 bench = require( '@stdlib/bench' );
var randu = require( '@stdlib/random/base/randu' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var pkg = require( './../package.json' ).name;
var asind = require( './../lib' );


// MAIN //

bench( pkg, function benchmark( b ) {
var x;
var y;
var i;

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
x = ( randu()*2.0 ) - 1.0;
y = asind( x );
if ( isnan( y ) ) {
b.fail( 'should not return NaN' );
}
}
b.toc();
if ( isnan( y ) ) {
b.fail( 'should not return NaN' );
}
b.pass( 'benchmark finished' );
b.end();
});
29 changes: 29 additions & 0 deletions lib/node_modules/@stdlib/math/base/special/asind/docs/repl.txt
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{{alias}}( x )
Computes the arcsine (in degrees) of a double-precision floating-point
number.

If `|x| > 1`, the function returns `NaN`.

Parameters
----------
x: number
Input value.

Returns
-------
y: number
Arcsine (in degrees).

Examples
--------
> var y = {{alias}}( 0.0 )
0.0
> y = {{alias}}( {{alias:@stdlib/constants/float64/pi}}/6.0 )
~31.57
> y = {{alias}}( NaN )
NaN

See Also
--------

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/*
* @license Apache-2.0
*
* Copyright (c) 2024 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

/**
* Computes the arcsine (in degrees) of a double-precision floating-point number.
*
* @param x - input value
* @returns arcsine (in degrees)
*
* @example
* var v = asind( 0.0 );
* // returns 0.0
*
* @example
* var v = asind( 0.5 );
* // returns ~30.0
*
* @example
* var v = asind( Math.sqrt( 2.0 ) / 2.0 );
* // returns ~45.0
*
* @example
* var v = asind( Math.sqrt( 3.0 ) / 2.0 );
* // returns ~60.0
*
* @example
* var v = asind( NaN );
* // returns NaN
*/
declare function asind( x: number ): number;


// EXPORTS //

export = asind;
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/*
* @license Apache-2.0
*
* Copyright (c) 2024 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 asind = require( './index' );


// TESTS //

// The function returns a number...
{
asind( 0.5 ); // $ExpectType number
}

// The compiler throws an error if the function is provided a value other than a number...
{
asind( true ); // $ExpectError
asind( false ); // $ExpectError
asind( null ); // $ExpectError
asind( undefined ); // $ExpectError
asind( '5' ); // $ExpectError
asind( [] ); // $ExpectError
asind( {} ); // $ExpectError
asind( ( x: number ): number => x ); // $ExpectError
}

// The compiler throws an error if the function is provided insufficient arguments...
{
asind(); // $ExpectError
}
29 changes: 29 additions & 0 deletions lib/node_modules/@stdlib/math/base/special/asind/examples/index.js
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/**
* @license Apache-2.0
*
* Copyright (c) 2024 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 linspace = require( '@stdlib/array/base/linspace' );
var asind = require( './../lib' );

var x = linspace( -1.0, 1.0, 100 );

var i;
for ( i = 0; i < x.length; i++ ) {
console.log( 'asind(%d) = %d', x[ i ], asind( x[ i ] ) );
}
52 changes: 52 additions & 0 deletions lib/node_modules/@stdlib/math/base/special/asind/lib/index.js
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@@ -0,0 +1,52 @@
/**
* @license Apache-2.0
*
* Copyright (c) 2024 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';

/**
* Compute the arcsine (in degrees) of a double-precision floating-point number.
*
* @module @stdlib/math/base/special/asind
*
* @example
* var asind = require( '@stdlib/math/base/special/asind' );
*
* var v = asind( 0.0 );
* // returns 0.0
*
* var v = asind( 0.5 );
* // returns ~30.0
*
* var v = asind( Math.sqrt( 2.0 ) / 2.0 );
* // returns ~45.0
*
* var v = asind( Math.sqrt( 3.0 ) / 2.0 );
* // returns ~60.0
*
* var v = asind( NaN );
* // returns NaN
*/

// MODULES //

var main = require( './main.js' );


// EXPORTS //

module.exports = main;
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