怎么解决javascript数字计算丢失精度问题?
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计算机世界里,数字的计算,所有语言都会丢失精度,所以没有万全之策,但在人力范围内,尽量解决。
网上找了一部分代码,发现是有问题的,比如:
- //加法
- Number.prototype.myAdd = function(arg2) {
- var arg1 = this;
- if (isNaN(arg2)) {
- return arg2;
- }
- var r1, r2, m;
- try { r1 = arg1.toString().split(".")[1].length } catch (e) { r1 = 0 }
- try { r2 = arg2.toString().split(".")[1].length } catch (e) { r2 = 0 }
- m = Math.pow(10, Math.max(r1, r2))
- return (arg1 * m + arg2 * m) / m
- }
- //减法
- Number.prototype.mySub = function(arg2) {
- var arg1 = this;
- if (isNaN(arg2)) {
- return arg2;
- }
- var r1, r2, m, n;
- try { r1 = arg1.toString().split(".")[1].length } catch (e) { r1 = 0 }
- try { r2 = arg2.toString().split(".")[1].length } catch (e) { r2 = 0 }
- m = Math.pow(10, Math.max(r1, r2));
- n = (r1 >= r2) ? r1 : r2;
- return ((arg1 * m - arg2 * m) / m).toFixed(n);
- }
- //乘法
- Number.prototype.myMul = function(arg2) {
- var arg1 = this;
- if (isNaN(arg2)) {
- return arg2;
- }
- var m = 0,
- s1 = arg1.toString(),
- s2 = arg2.toString();
- try { m += s1.split(".")[1].length } catch (e) {}
- try { m += s2.split(".")[1].length } catch (e) {}
- return Number(s1.replace(".", "")) * Number(s2.replace(".", "")) / Math.pow(10, m)
- }
- // 除法
- Number.prototype.myDiv = function(arg2) {
- var arg1 = this;
- if (isNaN(arg2)) {
- return arg2;
- }
- var t1 = 0,
- t2 = 0,
- r1, r2;
- try { t1 = arg1.toString().split(".")[1].length } catch (e) {}
- try { t2 = arg2.toString().split(".")[1].length } catch (e) {}
- with(Math) {
- r1 = Number(arg1.toString().replace(".", ""))
- r2 = Number(arg2.toString().replace(".", ""))
- return (r1 / r2).myMul(pow(10, t2 - t1))
- }
- }
在计算一些特殊的数字时,仍然有问题:
比如加法:
- 268.34.myDiv(0.83);//321.7505995203837
所以还要优化
我重新做了一版:
- var operationNumber = function (arg1,arg2,operator) {
- var oper=['+','-','*','/'];
- // 不合法的运算
- if (isNaN(arg1)||isNaN(arg2)||oper.indexOf(operator)<0) {
- return NaN;
- }
- // 除以0
- if (operator==='/'&&Number(arg2)===0) {
- return Infinity;
- }
- // 和0相乘
- if (operator==='*'&&Number(arg2)===0) {
- return 0;
- }
- // 相等两个数字相减
- if ((arg1===arg2||Number(arg1)===Number(arg2))&&operator==='-') {
- return 0;
- }
- var r1, r2, max,_r1,_r2;
- try { r1 = arg1.toString().split(".")[1].length } catch (e) { r1 = 0 }
- try { r2 = arg2.toString().split(".")[1].length } catch (e) { r2 = 0 }
- max = Math.max(r1, r2)
- _r1 = max-r1;
- _r2 = max-r2;
- if (_r1!==0) {
- arg1=arg1+'0'.repeat(_r1)
- }
- if (_r2!==0) {
- arg2=arg2+'0'.repeat(_r2)
- }
- arg1 = Number(arg1.toString().replace('.',''))
- arg2 = Number(arg2.toString().replace('.',''))
- var r3 = operator==='*'?(max*2):(operator==='/'?0:max);
- var newNum = eval(arg1+operator+arg2);
- if (r3!==0) {
- var nStr = newNum.toString();
- nStr = nStr.replace(/^-/,'');
- if (nStr.length<r3+1) {
- nStr = '0'.repeat(r3+1-nStr.length)+nStr;
- }
- nStr = nStr.replace(new RegExp('(\\\d{'+r3+'})$'),'.$1');
- if (newNum<0) {
- nStr = '-'+nStr;
- }
- newNum = nStr*1;
- }
- return newNum;
- }
- //加法
- Number.prototype.myAdd = function(arg2) {
- return operationNumber(this,arg2,'+');
- }
- //减法
- Number.prototype.mySub = function(arg2) {
- return operationNumber(this,arg2,'-');
- }
- //乘法
- Number.prototype.myMul = function(arg2) {
- return operationNumber(this,arg2,'*');
- }
- // 除法
- Number.prototype.myDiv = function(arg2) {
- return operationNumber(this,arg2,'/');
- }
如果你发现了bug,评论区及时反馈,我及时跟进修复。
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