README.md (2521B)
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 # sincospi 22 23 > Simultaneously compute the [sine][@stdlib/math/base/special/sin] and [cosine][@stdlib/math/base/special/cos] of a number times [π][@stdlib/constants/float64/pi]. 24 25 <section class="usage"> 26 27 ## Usage 28 29 ```javascript 30 var sincospi = require( '@stdlib/math/base/special/sincospi' ); 31 ``` 32 33 #### sincospi( \[out,] x ) 34 35 Simultaneously computes the [sine][@stdlib/math/base/special/sin] and [cosine][@stdlib/math/base/special/cos] of a `number` times [π][@stdlib/constants/float64/pi] more accurately than `sincos(pi*x)`, especially for large `x`. 36 37 ```javascript 38 var v = sincospi( 0.0 ); 39 // returns [ 0.0, 1.0 ] 40 41 v = sincospi( 0.5 ); 42 // returns [ 1.0, 0.0 ] 43 44 v = sincospi( 0.1 ); 45 // returns [ ~0.309, ~0.951 ] 46 47 v = sincospi( NaN ); 48 // returns [ NaN, NaN ] 49 ``` 50 51 By default, the function returns a two-element `array` containing `sin(πx)` and `cos(πx)`. To avoid extra memory allocation, the function supports providing an output (destination) object. 52 53 ```javascript 54 var Float64Array = require( '@stdlib/array/float64' ); 55 56 var out = new Float64Array( 2 ); 57 58 var v = sincospi( out, 0.0 ); 59 // returns <Float64Array>[ 0.0, 1.0 ] 60 61 var bool = ( v === out ); 62 // returns true 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 sincospi = require( '@stdlib/math/base/special/sincospi' ); 78 79 var x = linspace( 0.0, 2.0, 101 ); 80 var i; 81 82 for ( i = 0; i < x.length; i++ ) { 83 console.log( sincospi( x[ i ] ) ); 84 } 85 ``` 86 87 </section> 88 89 <!-- /.examples --> 90 91 <section class="links"> 92 93 [@stdlib/math/base/special/sin]: https://www.npmjs.com/package/@stdlib/math/tree/main/base/special/sin 94 95 [@stdlib/math/base/special/cos]: https://www.npmjs.com/package/@stdlib/math/tree/main/base/special/cos 96 97 [@stdlib/constants/float64/pi]: https://www.npmjs.com/package/@stdlib/constants-float64-pi 98 99 </section> 100 101 <!-- /.links -->