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secant functionality added
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AbhijitRaut04 committed Oct 20, 2024
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204 changes: 204 additions & 0 deletions lib/node_modules/@stdlib/math/base/special/sec/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.
-->

# Cosecant

> Evaluate the [secant][trigonometric-functions] of a number.
<section class="intro">

</section>

<section class="usage">

## Usage

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

## csc( x )

Evaluates the [secant][trigonometric-functions] of `x` (in radians).

```javascript
var v = sec( 0.0 );
// returns 1.0

v = sec( 3.141592653589793/2.0 );
// returns Infinity

v = sec( -3.141592653589793/3.0 );
// returns ~2.0

v = sec( 3.141592653589793/3.0 );
// returns ~2.0

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

</section>

<!-- /.usage -->

<section class="examples">

## Examples

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

```javascript
var linspace = require( '@stdlib/array/base/linspace' );
var PI = require( '@stdlib/constants/float64/pi' );
var sec = require( '@stdlib/math/base/special/sec' );

var x = linspace( -PI/2.0, PI/2.0, 100 );

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

</section>

<!-- /.examples -->

<!-- C interface documentation. -->

* * *

<section class="c">

## C APIs

<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->

<section class="intro">

</section>

<!-- /.intro -->

<!-- C usage documentation. -->

<section class="usage">

### Usage

```c
#include "stdlib/math/base/special/sec.h"
```

#### stdlib_base_sec( x )

Evaluates the [secant][trigonometric-functions] of `x` (in radians).

```c
double out = stdlib_base_sec( 0.0 );
// returns 1.0

out = stdlib_base_cos( 3.141592653589793 / 2.0 );
// returns 0.0
```

The function accepts the following arguments:

- **x**: `[in] double` input value.

```c
double stdlib_base_sec( const double x );
```
</section>
<!-- /.usage -->
<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
<section class="notes">
</section>
<!-- /.notes -->
<!-- C API usage examples. -->
<section class="examples">
### Examples
```c
#include "stdlib/math/base/special/sec.h"
#include <stdio.h>
int main( void ) {
const double x[] = { 0.523, 0.785, 1.047, 3.14 };
double y;
int i;
for ( i = 0; i < 4; i++ ) {
y = stdlib_base_sec( x[ i ] );
printf( "sec(%lf) = %lf\n", x[ i ], y );
}
}
```

</section>

<!-- /.examples -->

</section>

<!-- /.c -->

<!-- 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/math/base/special/cot`][@stdlib/math/base/special/cot]</span><span class="delimiter">: </span><span class="description">evaluate the cotangent of a number.</span>
- <span class="package-name">[`@stdlib/math/base/special/cos`][@stdlib/math/base/special/cos]</span><span class="delimiter">: </span><span class="description">compute the cosine of a number.</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">

[trigonometric-functions]: https://en.wikipedia.org/wiki/Trigonometric_functions

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

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

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

<!-- </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 cos = require( '@stdlib/math/base/special/cos' );
var pkg = require( './../package.json' ).name;
var sec = 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() * 20.0) - 10.0;
y = sec( 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();
});

bench( pkg + '::built-in', function benchmark( b ) {
var x;
var y;
var i;

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
x = (randu() * 20.0) - 10.0;
y = 1.0 / cos( 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();
});
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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 resolve = require( 'path' ).resolve;
var bench = require( '@stdlib/bench' );
var randu = require( '@stdlib/random/base/randu' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var tryRequire = require( '@stdlib/utils/try-require' );
var pkg = require( './../package.json' ).name;


// VARIABLES //

var sec = tryRequire( resolve( __dirname, './../lib/native.js' ) );
var opts = {
'skip': ( csc instanceof Error )
};


// MAIN //

bench( pkg+'::native', opts, function benchmark( b ) {
var x;
var y;
var i;

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
x = (randu() * 20.0) - 10.0;
y = sec( 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();
});
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