sincospi.js (2581B)
1 /** 2 * @license Apache-2.0 3 * 4 * Copyright (c) 2018 The Stdlib Authors. 5 * 6 * Licensed under the Apache License, Version 2.0 (the "License"); 7 * you may not use this file except in compliance with the License. 8 * You may obtain a copy of the License at 9 * 10 * http://www.apache.org/licenses/LICENSE-2.0 11 * 12 * Unless required by applicable law or agreed to in writing, software 13 * distributed under the License is distributed on an "AS IS" BASIS, 14 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 15 * See the License for the specific language governing permissions and 16 * limitations under the License. 17 */ 18 19 'use strict'; 20 21 // MODULES // 22 23 var isnan = require( './../../../../base/assert/is-nan' ); 24 var isInfinite = require( './../../../../base/assert/is-infinite' ); 25 var abs = require( './../../../../base/special/abs' ); 26 var sincos = require( './../../../../base/special/sincos' ); 27 var floor = require( './../../../../base/special/floor' ); 28 var PI = require( '@stdlib/constants/float64/pi' ); 29 var copysign = require( './../../../../base/special/copysign' ); 30 31 32 // MAIN // 33 34 /** 35 * Simultaneously computes the sine and cosine of a number times π. 36 * 37 * @private 38 * @param {(Array|TypedArray|Object)} out - destination array 39 * @param {number} x - input value 40 * @returns {(Array|TypedArray|Object)} two-element array containing sin(πx) and cos(πx) 41 * 42 * @example 43 * var v = sincospi( [ 0.0, 0.0 ], 0.0 ); 44 * // returns [ 0.0, 1.0 ] 45 * 46 * @example 47 * var v = sincospi( [ 0.0, 0.0 ], 0.5 ); 48 * // returns [ 1.0, 0.0 ] 49 * 50 * @example 51 * var v = sincospi( [ 0.0, 0.0 ], 0.1 ); 52 * // returns [ ~0.309, ~0.951 ] 53 * 54 * @example 55 * var v = sincospi( [ 0.0, 0.0 ], NaN ); 56 * // returns [ NaN, NaN ] 57 */ 58 function sincospi( out, x ) { 59 var tmp; 60 var ix; 61 var ar; 62 var r; 63 64 if ( isnan( x ) || isInfinite( x ) ) { 65 out[ 0 ] = NaN; 66 out[ 1 ] = NaN; 67 return out; 68 } 69 r = x % 2.0; 70 ar = abs( r ); 71 if ( ar === 0.0 || ar === 1.0 ) { 72 ix = floor( ar ); 73 out[ 0 ] = copysign( 0.0, r ); 74 out[ 1 ] = ( ix%2 === 1 ) ? -1.0 : 1.0; 75 return out; 76 } 77 if ( ar < 0.25 ) { 78 return sincos( out, PI*r ); 79 } 80 if ( ar < 0.75 ) { 81 ar = 0.5 - ar; 82 sincos( out, PI*ar ); 83 tmp = out[ 0 ]; 84 out[ 0 ] = copysign( out[ 1 ], r ); 85 out[ 1 ] = tmp; 86 return out; 87 } 88 if ( ar < 1.25 ) { 89 r = copysign( 1.0, r ) - r; 90 sincos( out, PI*r ); 91 out[ 1 ] *= -1; 92 return out; 93 } 94 if ( ar < 1.75 ) { 95 ar -= 1.5; 96 sincos( out, PI*ar ); 97 tmp = out[ 0 ]; 98 out[ 0 ] = -copysign( out[ 1 ], r ); 99 out[ 1 ] = tmp; 100 return out; 101 } 102 r -= copysign( 2.0, r ); 103 return sincos( out, PI*r ); 104 } 105 106 107 // EXPORTS // 108 109 module.exports = sincospi;