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feat: add math/base/special/cscd #1786

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103 changes: 103 additions & 0 deletions lib/node_modules/@stdlib/math/base/special/cscd/README.md
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<!--

@license Apache-2.0

Copyright (c) 2022 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.

-->

# cscd

> Compute the [cosecant][cosecant] of a degree.

<section class="usage">

## Usage

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

#### cscd( x )

Computes the [cosecant][cosecant] of `x` (in degrees).

```javascript
var v = cscd( 30 );
// returns ~2.0

v = cscd( 45 );
// returns ~1.41

v = cscd( 60 );
// returns ~1.15

v = cscd( 90 );
// returns 1.0

v = cscd( 0 );
// returns Infinity

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

</section>

<!-- /.usage -->

<section class="examples">

## Examples

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

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

var x = linspace( 1.1, 5.1, 100 );

var i;
for ( i = 0; i < x.length; i++ ) {
console.log( cscd( 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">

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

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

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

</section>

<!-- /.links -->
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/**
* @license Apache-2.0
*
* Copyright (c) 2022 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 cscd = 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 = cscd( 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();
});
28 changes: 28 additions & 0 deletions lib/node_modules/@stdlib/math/base/special/cscd/docs/repl.txt
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{{alias}}( x )
Computes the cosecant of a degree.

Parameters
----------
x: number
Input value (in degrees).

Returns
-------
y: number
Cosecant.

Examples
--------
> var y = {{alias}}( 1.0 )
~57.30
> y = {{alias}}( {{alias:@stdlib/constants/float64/pi}} )
~18.25
> y = {{alias}}( -{{alias:@stdlib/constants/float64/pi}} )
~-18.25
> y = {{alias}}( NaN )
NaN

See Also
--------

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/*
* @license Apache-2.0
*
* Copyright (c) 2022 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 cosecant of a degree.
*
* @param x - input value (in degrees)
* @returns cosecant
*
* @example
* var v = cscd( 30 );
* // returns ~2.0
*
* @example
* var v = cscd( 45 );
* // returns ~1.41
*
* @example
* var v = cscd( 60 );
* // returns ~1.15
*
* @example
* var v = cscd( 90 );
* // returns 1.0
*
* @example
* var v = cscd( 0 );
* // returns Infinity
*
* @example
* var v = cscd( NaN );
* // returns NaN
*/
declare function cscd( x: number ): number;


// EXPORTS //

export = cscd;
44 changes: 44 additions & 0 deletions lib/node_modules/@stdlib/math/base/special/cscd/docs/types/test.ts
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/*
* @license Apache-2.0
*
* Copyright (c) 2022 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 cscd = require( './index' );


// TESTS //

// The function returns a number...
{
cscd( 8 ); // $ExpectType number
}

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

// The compiler throws an error if the function is provided insufficient arguments...
{
cscd(); // $ExpectError
}
29 changes: 29 additions & 0 deletions lib/node_modules/@stdlib/math/base/special/cscd/examples/index.js
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/**
* @license Apache-2.0
*
* Copyright (c) 2022 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 cscd = require( './../lib' );

var x = linspace( 1.1, 5.1, 100 );

var i;
for ( i = 0; i < x.length; i++ ) {
console.log( 'cscd(%d) = %d', x[ i ], cscd( x[ i ] ) );
}
55 changes: 55 additions & 0 deletions lib/node_modules/@stdlib/math/base/special/cscd/lib/index.js
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/**
* @license Apache-2.0
*
* Copyright (c) 2022 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 cosecant of a degree.
*
* @module @stdlib/math/base/special/cscd
*
* @example
* var cscd = require( '@stdlib/math/base/special/cscd' );
*
* var v = cscd( 30 );
* // returns ~2.0
*
* var v = cscd( 45 );
* // returns ~1.41
*
* var v = cscd( 60 );
* // returns ~1.15
*
* var v = cscd( 90 );
* // returns 1.0
*
* var v = cscd( 0 );
* // returns Infinity
*
* var v = cscd( NaN );
* // returns NaN
*/

// MODULES //

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


// EXPORTS //

module.exports = main;
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