time-to-botec

Benchmark sampling in different programming languages
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README.md (2486B)

      1 <!--
      2 
      3 @license Apache-2.0
      4 
      5 Copyright (c) 2018 The Stdlib Authors.
      6 
      7 Licensed under the Apache License, Version 2.0 (the "License");
      8 you may not use this file except in compliance with the License.
      9 You may obtain a copy of the License at
     10 
     11    http://www.apache.org/licenses/LICENSE-2.0
     12 
     13 Unless required by applicable law or agreed to in writing, software
     14 distributed under the License is distributed on an "AS IS" BASIS,
     15 WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
     16 See the License for the specific language governing permissions and
     17 limitations under the License.
     18 
     19 -->
     20 
     21 # j0
     22 
     23 > Compute the [Bessel function of the first kind][bessel-first-kind] of order zero.
     24 
     25 <section class="intro">
     26 
     27 The [Bessel function of the first kind][bessel-first-kind] of order zero is defined as
     28 
     29 <!-- <equation class="equation" label="eq:bessel_first_kind_order_zero" align="center" raw="J_0 (x) = \frac{1}{2 \pi} \int_{-\pi}^\pi e^{- i x \sin(\tau)} \,d\tau." alt="Bessel function of the first kind of order zero"> -->
     30 
     31 <div class="equation" align="center" data-raw-text="J_0 (x) = \frac{1}{2 \pi} \int_{-\pi}^\pi e^{- i x \sin(\tau)} \,d\tau." data-equation="eq:bessel_first_kind_order_zero">
     32     <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@bb29798906e119fcb2af99e94b60407a270c9b32/lib/node_modules/@stdlib/math/base/special/besselj0/docs/img/equation_bessel_first_kind_order_zero.svg" alt="Bessel function of the first kind of order zero">
     33     <br>
     34 </div>
     35 
     36 <!-- </equation> -->
     37 
     38 </section>
     39 
     40 <!-- /.intro -->
     41 
     42 <section class="usage">
     43 
     44 ## Usage
     45 
     46 ```javascript
     47 var j0 = require( '@stdlib/math/base/special/besselj0' );
     48 ```
     49 
     50 #### j0( x )
     51 
     52 Compute the [Bessel function of the first kind][bessel-first-kind] of order zero at `x`.
     53 
     54 ```javascript
     55 var v = j0( 0.0 );
     56 // returns 1.0
     57 
     58 v = j0( 1.0 );
     59 // returns ~0.765
     60 
     61 v = j0( Infinity );
     62 // returns 0.0
     63 
     64 v = j0( -Infinity );
     65 // returns 0.0
     66 
     67 v = j0( NaN );
     68 // returns NaN
     69 ```
     70 
     71 </section>
     72 
     73 <!-- /.usage -->
     74 
     75 <section class="examples">
     76 
     77 ## Examples
     78 
     79 <!-- eslint no-undef: "error" -->
     80 
     81 ```javascript
     82 var randu = require( '@stdlib/random/base/randu' );
     83 var j0 = require( '@stdlib/math/base/special/besselj0' );
     84 
     85 var x;
     86 var i;
     87 
     88 for ( i = 0; i < 100; i++ ) {
     89     x = randu() * 10.0;
     90     console.log( 'j0(%d) = %d', x, j0( x ) );
     91 }
     92 ```
     93 
     94 </section>
     95 
     96 <!-- /.examples -->
     97 
     98 <section class="links">
     99 
    100 [bessel-first-kind]: https://en.wikipedia.org/wiki/Bessel_function#Bessel_functions_of_the_first_kind:_J.CE.B1
    101 
    102 </section>
    103 
    104 <!-- /.links -->