106 lines
2.3 KiB
Markdown
106 lines
2.3 KiB
Markdown
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@license Apache-2.0
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Copyright (c) 2018 The Stdlib Authors.
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Licensed under the Apache License, Version 2.0 (the "License");
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you may not use this file except in compliance with the License.
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You may obtain a copy of the License at
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http://www.apache.org/licenses/LICENSE-2.0
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Unless required by applicable law or agreed to in writing, software
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distributed under the License is distributed on an "AS IS" BASIS,
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WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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See the License for the specific language governing permissions and
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limitations under the License.
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-->
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# Natural Exponential Function
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> Natural [exponential function][exponential-function].
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<section class="intro">
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The natural [exponential function][exponential-function] is defined as
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<!-- <equation class="equation" label="eq:natural_exponential_function" align="center" raw="y = e^x" alt="Natural exponential function definition"> -->
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<div class="equation" align="center" data-raw-text="y = e^x" data-equation="eq:natural_exponential_function">
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<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@bb29798906e119fcb2af99e94b60407a270c9b32/lib/node_modules/@stdlib/math/base/special/exp/docs/img/equation_natural_exponential_function.svg" alt="Natural exponential function definition">
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<br>
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</div>
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<!-- </equation> -->
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where `e` is [Euler's][@stdlib/constants/float64/e] number.
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</section>
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<!-- /.intro -->
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<section class="usage">
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## Usage
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```javascript
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var exp = require( '@stdlib/math/base/special/exp' );
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```
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#### exp( x )
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Evaluates the natural [exponential function][exponential-function].
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```javascript
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var v = exp( 4.0 );
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// returns ~54.5982
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v = exp( -9.0 );
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// returns ~1.234e-4
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v = exp( 0.0 );
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// returns 1.0
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v = exp( NaN );
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// returns NaN
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```
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</section>
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<!-- /.usage -->
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<section class="examples">
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## Examples
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<!-- eslint no-undef: "error" -->
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```javascript
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var randu = require( '@stdlib/random/base/randu' );
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var exp = require( '@stdlib/math/base/special/exp' );
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var x;
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var i;
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for ( i = 0; i < 100; i++ ) {
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x = (randu()*100.0) - 50.0;
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console.log( 'e^%d = %d', x, exp( x ) );
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}
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```
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</section>
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<!-- /.examples -->
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<section class="links">
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[exponential-function]: https://en.wikipedia.org/wiki/Exponential_function
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[@stdlib/constants/float64/e]: https://www.npmjs.com/package/@stdlib/constants-float64-e
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</section>
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<!-- /.links -->
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