round10.js (2391B)
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 pow = require( './../../../../base/special/pow' ); 26 var floor = require( './../../../../base/special/floor' ); 27 var ceil = require( './../../../../base/special/ceil' ); 28 var log10 = require( './../../../../base/special/log10' ); 29 var MAX_EXP = require( '@stdlib/constants/float64/max-base10-exponent' ); 30 var MIN_EXP_SUBNORMAL = require( '@stdlib/constants/float64/min-base10-exponent-subnormal' ); 31 32 33 // VARIABLES // 34 35 // 10^308: 36 var HUGE = 1.0e308; 37 38 // 10^-323 39 var TINY = 1.0e-323; 40 41 42 // MAIN // 43 44 /** 45 * Rounds a numeric value to the nearest power of `10` on a linear scale. 46 * 47 * @param {number} x - input value 48 * @returns {number} rounded value 49 * 50 * @example 51 * var v = round10( 3.141592653589793 ); 52 * // returns 1.0 53 * 54 * @example 55 * var v = round10( 13.0 ); 56 * // returns 10.0 57 * 58 * @example 59 * var v = round10( -0.314 ); 60 * // returns -0.1 61 */ 62 function round10( x ) { 63 var sign; 64 var half; 65 var p1; 66 var p2; 67 var y1; 68 var y2; 69 var p; 70 if ( 71 isnan( x ) || 72 isInfinite( x ) || 73 x === 0.0 74 ) { 75 return x; 76 } 77 if ( x < 0 ) { 78 x = -x; 79 sign = -1.0; 80 } else { 81 sign = 1.0; 82 } 83 // Solve the equation `10^p = x` for `p`: 84 p = log10( x ); 85 86 // Find the previous and next integer powers: 87 p1 = floor( p ); 88 p2 = ceil( p ); 89 90 // Handle tiny: 91 if ( p1 === MIN_EXP_SUBNORMAL ) { 92 return sign * TINY; 93 } 94 // Handle huge: 95 if ( p1 === MAX_EXP ) { 96 return sign * HUGE; 97 } 98 // Compute previous and next powers of 10: 99 y1 = pow( 10.0, p1 ); 100 y2 = pow( 10.0, p2 ); 101 102 // Find the closest power of 10: 103 half = ( y2 - y1 ) / 2.0; 104 if ( y1+half > x ) { 105 return sign * y1; 106 } 107 return sign * y2; 108 } 109 110 111 // EXPORTS // 112 113 module.exports = round10;