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230 changes: 230 additions & 0 deletions lib/node_modules/@stdlib/math/base/special/expf/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.

-->

# expf

> Natural [exponential function][exponential-function] of single-precision floating-point number.

<section class="intro">

The natural [exponential function][exponential-function] is defined as

<!-- <equation class="equation" label="eq:natural_exponential_function" align="center" raw="y = e^x" alt="Natural exponential function definition"> -->

```math
y = e^x
```

<!-- <div class="equation" align="center" data-raw-text="y = e^x" data-equation="eq:natural_exponential_function">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@117273e7c4f27b0835723c2940d9675af0e14cb7/lib/node_modules/@stdlib/math/base/special/exp/docs/img/equation_natural_exponential_function.svg" alt="Natural exponential function definition">
<br>
</div> -->

<!-- </equation> -->

where `e` is [Euler's][@stdlib/constants/float64/e] number.

</section>

<!-- /.intro -->

<section class="usage">

## Usage

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

#### expf( x )

Evaluates the natural [exponential function][exponential-function] of single-precision floating-point number.

```javascript
var v = expf( 4.0 );
// returns ~54.5982

v = expf( -9.0 );
// returns ~1.234e-4

v = expf( 0.0 );
// returns 1.0

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

</section>

<!-- /.usage -->

<section class="examples">

## Examples

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

```javascript
var randu = require( '@stdlib/random/base/randu' );
var expf = require( '@stdlib/math/base/special/expf' );

var x;
var i;

for ( i = 0; i < 100; i++ ) {
x = (randu()*100.0) - 50.0;
console.log( 'e^%d = %d', x, expf( x ) );
}
```

</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/expf.h"
```

#### stdlib_base_expf( x )

Evaluates the natural [exponential function][exponential-function] of single-precision floating-point number.

```c
float out = stdlib_base_expf( 4.0 );
// returns ~54.5982

out = stdlib_base_expf( -9.0 );
// returns ~1.234e-4
```

The function accepts the following arguments:

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

```c
float stdlib_base_exp( const float 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/expf.h"
#include <stdlib.h>
#include <stdio.h>

int main( void ) {
float x;
float v;
int i;

for ( i = 0; i < 100; i++ ) {
x = ( (float)rand() / (float)RAND_MAX ) * 10.0;
v = stdlib_base_expf( x );
printf( "e^%f = %f\n", x, v );
}
}
```

</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/exp10`][@stdlib/math/base/special/exp10]</span><span class="delimiter">: </span><span class="description">base 10 exponential function.</span>
- <span class="package-name">[`@stdlib/math/base/special/exp2`][@stdlib/math/base/special/exp2]</span><span class="delimiter">: </span><span class="description">base 2 exponential function.</span>
- <span class="package-name">[`@stdlib/math/base/special/expm1`][@stdlib/math/base/special/expm1]</span><span class="delimiter">: </span><span class="description">compute exp(x) - 1.</span>
- <span class="package-name">[`@stdlib/math/base/special/ln`][@stdlib/math/base/special/ln]</span><span class="delimiter">: </span><span class="description">evaluate the natural logarithm of a double-precision floating-point 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">

[exponential-function]: https://en.wikipedia.org/wiki/Exponential_function

[@stdlib/constants/float64/e]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/constants/float64/e

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

[@stdlib/math/base/special/exp10]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/exp10

[@stdlib/math/base/special/exp2]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/exp2

[@stdlib/math/base/special/expm1]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/expm1

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

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

</section>

<!-- /.links -->
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/**
* @license Apache-2.0
*
* Copyright (c) 2018 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 isnanf = require( '@stdlib/math/base/assert/is-nanf' );
var pkg = require( './../package.json' ).name;
var expf = 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()*100.0 ) - 50.0;
y = expf( x );
if ( isnanf( y ) ) {
b.fail( 'should not return NaN' );
}
}
b.toc();
if ( isnanf( 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()*100.0 ) - 50.0;
y = Math.exp( x ); // eslint-disable-line stdlib/no-builtin-math
if ( isnanf( y ) ) {
b.fail( 'should not return NaN' );
}
}
b.toc();
if ( isnanf( y ) ) {
b.fail( 'should not return NaN' );
}
b.pass( 'benchmark finished' );
b.end();
});
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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 resolve = require( 'path' ).resolve;
var bench = require( '@stdlib/bench' );
var randu = require( '@stdlib/random/base/randu' );
var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
var tryRequire = require( '@stdlib/utils/try-require' );
var pkg = require( './../package.json' ).name;


// VARIABLES //

var expf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
var opts = {
'skip': ( expf 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()*100.0 ) - 50.0;
y = expf( x );
if ( isnanf( y ) ) {
b.fail( 'should not return NaN' );
}
}
b.toc();
if ( isnanf( y ) ) {
b.fail( 'should not return NaN' );
}
b.pass( 'benchmark finished' );
b.end();
});
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