math.js
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import { isRealNum } from '../global/validate';
/*
* 判断obj是否为一个整数
*/
function isInteger(obj) {
return Math.floor(obj) === obj;
}
/*
* 将一个浮点数转成整数,返回整数和倍数。如 3.14 >> 314,倍数是 100
* @param floatNum {number} 小数
* @return {object}
* {times:100, num: 314}
*/
function toInteger(floatNum) {
var ret = { times: 1, num: 0 };
if (isInteger(floatNum)) {
ret.num = floatNum;
return ret;
}
var strfi = floatNum + '';
var dotPos = strfi.indexOf('.');
var len = strfi.substr(dotPos + 1).length;
var times = Math.pow(10, len);
var intNum = parseInt(floatNum * times + 0.5, 10);
ret.times = times;
ret.num = intNum;
return ret;
}
/*
* 核心方法,实现加减乘除运算,确保不丢失精度
* 思路:把小数放大为整数(乘),进行算术运算,再缩小为小数(除)
*
* @param a {number} 运算数1
* @param b {number} 运算数2
* @param digits {number} 精度,保留的小数点数,比如 2, 即保留为两位小数
* @param op {string} 运算类型,有加减乘除(add/subtract/multiply/divide)
*
*/
function operation(a, b, op) {
var o1 = toInteger(a);
var o2 = toInteger(b);
var n1 = o1.num;
var n2 = o2.num;
var t1 = o1.times;
var t2 = o2.times;
var max = t1 > t2 ? t1 : t2;
var result = null;
switch (op) {
case 'add':
if (t1 === t2) { // 两个小数位数相同
result = n1 + n2;
}
else if (t1 > t2) { // o1 小数位 大于 o2
result = n1 + n2 * (t1 / t2);
}
else { // o1 小数位 小于 o2
result = n1 * (t2 / t1) + n2;
}
return result / max;
case 'subtract':
if (t1 === t2) {
result = n1 - n2;
}
else if (t1 > t2) {
result = n1 - n2 * (t1 / t2);
}
else {
result = n1 * (t2 / t1) - n2;
}
return result / max;
case 'multiply':
result = (n1 * n2) / (t1 * t2);
return result;
case 'divide':
return result = function () {
var r1 = n1 / n2;
var r2 = t2 / t1;
return operation(r1, r2, 'multiply');
}();
}
}
/**
* 做小数点的四舍五入计算
* @param {*} num
* @param {*} precision
*/
function fixed(num, precision) {
if (!precision) {
precision = 2;
}
if (!isRealNum(num)) return num;
let s = num.toFixed(precision);
let index = s.indexOf('.');
let prefix = s.substring(0, index);
let suffix = s.substring(index + 1, s.length);
if (suffix) {
for (let i = suffix.length - 1; i != 0; i--) {
//最末位不为0,直接break;
if (suffix.charAt(i) != '0' && i == suffix.length - 1) {
break;
} else {
suffix = suffix.substring(0, i);
}
}
}
return Number(prefix + '.' + suffix);
}
/**
* Calculation +-/* Solve the problem of js accuracy
*/
Number.prototype.add = function (value) {
let number = parseFloat(value);
if (typeof number !== 'number' || Number.isNaN(number)) {
throw new Error('请输入数字或者数字字符串~');
};
return operation(this, number, 'add');
};
Number.prototype.subtract = function (value) {
let number = parseFloat(value);
if (typeof number !== 'number' || Number.isNaN(number)) {
throw new Error('请输入数字或者数字字符串~');
}
return operation(this, number, 'subtract');
};
Number.prototype.multiply = function (value) {
let number = parseFloat(value);
if (typeof number !== 'number' || Number.isNaN(number)) {
throw new Error('请输入数字或者数字字符串~');
}
return operation(this, number, 'multiply');
};
Number.prototype.divide = function (value) {
let number = parseFloat(value);
if (typeof number !== 'number' || Number.isNaN(number)) {
throw new Error('请输入数字或者数字字符串~');
}
return operation(this, number, 'divide');
};
Number.prototype.tofixed = function (value) {
let precision = parseFloat(value);
if (typeof precision !== 'number' || Number.isNaN(precision)) {
throw new Error('请输入数字或者数字字符串~');
}
return fixed(this, precision);
};