README.md (2294B)
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 # Havercosine 22 23 > Compute the half-value [versed cosine][versed-cosine]. 24 25 <section class="intro"> 26 27 The half-value [versed cosine][versed-cosine] is defined as 28 29 <!-- <equation class="equation" label="eq:havercosine" align="center" raw="\operatorname{havercos}(\theta) = \frac{1 + \cos \theta}{2}" alt="Haversed cosine."> --> 30 31 <div class="equation" align="center" data-raw-text="\operatorname{havercos}(\theta) = \frac{1 + \cos \theta}{2}" data-equation="eq:havercosine"> 32 <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@bb29798906e119fcb2af99e94b60407a270c9b32/lib/node_modules/@stdlib/math/base/special/havercos/docs/img/equation_havercosine.svg" alt="Haversed cosine."> 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 havercos = require( '@stdlib/math/base/special/havercos' ); 48 ``` 49 50 #### havercos( x ) 51 52 Computes the half-value [versed cosine][versed-cosine] (in radians). 53 54 ```javascript 55 var v = havercos( 0.0 ); 56 // returns 1.0 57 58 v = havercos( 3.141592653589793/2.0 ); 59 // returns 0.5 60 61 v = havercos( -3.141592653589793/6.0 ); 62 // returns ~0.9330 63 ``` 64 65 </section> 66 67 <!-- /.usage --> 68 69 <section class="examples"> 70 71 ## Examples 72 73 <!-- eslint no-undef: "error" --> 74 75 ```javascript 76 var linspace = require( '@stdlib/array/linspace' ); 77 var TWO_PI = require( '@stdlib/constants/float64/two-pi' ); 78 var havercos = require( '@stdlib/math/base/special/havercos' ); 79 80 var x = linspace( 0.0, TWO_PI, 100 ); 81 var i; 82 83 for ( i = 0; i < x.length; i++ ) { 84 console.log( havercos( x[ i ] ) ); 85 } 86 ``` 87 88 </section> 89 90 <!-- /.examples --> 91 92 <section class="links"> 93 94 [versed-cosine]: https://en.wikipedia.org/wiki/Versine 95 96 </section> 97 98 <!-- /.links -->