在js中进行以元为单位进行浮点数计算时,会产生精度问题,例如:
console.log(0.1+0.2)结果为:0.30000000000000004
大多数编程语言计算采用的是IEEE 754 标准,那么先来看下浮点数运算产生误差的原因,拿0.1+0.2=0.30000000000000004举例。
首先,站在计算机的角度思考 0.1 + 0.2 这个问题。我们知道,能被计算机读懂的是二进制,而不是十进制,所以我们先把 0.1 和 0.2 转换成二进制看看:
0.1 => 0.0001 1001 1001 1001…(无限循环)0.2 => 0.0011 0011 0011 0011…(无限循环)
0.1和0.2转化为二进制之后,变成了一个无限循环的数字,这在现实生活中,无限循环我们可以理解,但计算机是不允许无限循环的,对于无限循环的小数,计算机会进行舍入处理。进行双精度浮点数的小数部分最多支持 52 位,所以两者相加之后得到这么一串 0.0100 1100 1100 1100 1100 1100 1100 1100 1100 1100 1100 1100 1100 ,因浮点数小数位的限制而截断的二进制数字,这时候,我们再把它转换为十进制,就成了 0.30000000000000004。
解决办法:
var floatObj = function () { ????????/* ????????* 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 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': ???????????????????result = (n1 / n2) * (t2 / t1); ???????????????????return result ???????????} ???????} ????????// 加减乘除的四个接口 ???????function add(a, b) { ???????????return operation(a, b, 'add') ???????} ????????function subtract(a, b) { ???????????return operation(a, b, 'subtract') ???????} ????????function multiply(a, b) { ???????????return operation(a, b, 'multiply') ???????} ????????function divide(a, b) { ???????????return operation(a, b, 'divide') ???????} ????????// exports ???????return { ???????????add: add, ???????????subtract: subtract, ???????????multiply: multiply, ???????????divide: divide ???????} ???}();
调用方法:
console.log(floatObj.add(0.1, 0.2));//0.3console.log(floatObj.subtract(1.0, 0.9));//0.1console.log(floatObj.multiply(19.9, 100));//1990console.log(floatObj.divide(6.6, 0.2));//33
如果要求金额保留两位小数的话,最开始想法是使用toFixed(2),可是在谷歌浏览器下如果遇到例如1.535.toFixed(2)的话值为1.53,并不能进行四舍五入(很奇怪的是1.635.toFixed(2)可以,隔个单位就行,估计是和二进制存储机制有关),所以这种方法肯定不精确。
查到到的一个办法是先把浮点数转成整数,然后使用Math.round四舍五入,例如:
Math.round(totalPrice * 100) / 100Math.round(1.535 * 100) / 100 ??// 成功转成1.54
文章参考:https://blog.csdn.net/qq_33237207/article/details/82109352
js浮点金额计算精度
原文地址:https://www.cnblogs.com/dxzg/p/10548823.html