flipsign.js (2367B)
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 toWords = require( '@stdlib/number/float64/base/to-words' ); 24 var getHighWord = require( '@stdlib/number/float64/base/get-high-word' ); 25 var fromWords = require( '@stdlib/number/float64/base/from-words' ); 26 27 28 // VARIABLES // 29 30 // 10000000000000000000000000000000 => 2147483648 => 0x80000000 31 var SIGN_MASK = 0x80000000>>>0; // asm type annotation 32 33 // High/low words workspace: 34 var WORDS = [ 0, 0 ]; // WARNING: not thread safe 35 36 37 // MAIN // 38 39 /** 40 * Returns a double-precision floating-point number with the magnitude of `x` and the sign of `x*y`. 41 * 42 * @param {number} x - number from which to derive a magnitude 43 * @param {number} y - number from which to derive a sign 44 * @returns {number} a double-precision floating-point number 45 * 46 * @example 47 * var z = flipsign( -3.14, 10.0 ); 48 * // returns -3.14 49 * 50 * @example 51 * var z = flipsign( -3.14, -1.0 ); 52 * // returns 3.14 53 * 54 * @example 55 * var z = flipsign( 1.0, -0.0 ); 56 * // returns -1.0 57 * 58 * @example 59 * var z = flipsign( -3.14, -0.0 ); 60 * // returns 3.14 61 * 62 * @example 63 * var z = flipsign( -0.0, 1.0 ); 64 * // returns -0.0 65 * 66 * @example 67 * var z = flipsign( 0.0, -1.0 ); 68 * // returns -0.0 69 */ 70 function flipsign( x, y ) { 71 var hx; 72 var hy; 73 74 // Split `x` into higher and lower order words: 75 toWords( WORDS, x ); 76 hx = WORDS[ 0 ]; 77 78 // Extract the higher order word from `y`: 79 hy = getHighWord( y ); 80 81 // Leave only the sign bit of `y` turned on (if on): 82 hy &= SIGN_MASK; 83 84 // Flip the sign bit of `x` only when the sign bit of `y` is on: 85 hx ^= hy; // 1^1=0 (flipped), 0^1=1 (flipped), 1^0=1 (unchanged), 0^0=0 (unchanged) 86 87 // Return a new value having the same magnitude as `x`, but with the sign of `x*y`: 88 return fromWords( hx, WORDS[ 1 ] ); 89 } 90 91 92 // EXPORTS // 93 94 module.exports = flipsign;