New file |
| | |
| | | let _boundaryCheckingState = true; // 是否进行越界检查的全局开关 |
| | | |
| | | /** |
| | | * 把错误的数据转正 |
| | | * @private |
| | | * @example strip(0.09999999999999998)=0.1 |
| | | */ |
| | | function strip(num, precision = 15) { |
| | | return +parseFloat(Number(num).toPrecision(precision)); |
| | | } |
| | | |
| | | /** |
| | | * Return digits length of a number |
| | | * @private |
| | | * @param {*number} num Input number |
| | | */ |
| | | function digitLength(num) { |
| | | // Get digit length of e |
| | | const eSplit = num.toString().split(/[eE]/); |
| | | const len = (eSplit[0].split('.')[1] || '').length - +(eSplit[1] || 0); |
| | | return len > 0 ? len : 0; |
| | | } |
| | | |
| | | /** |
| | | * 把小数转成整数,如果是小数则放大成整数 |
| | | * @private |
| | | * @param {*number} num 输入数 |
| | | */ |
| | | function float2Fixed(num) { |
| | | if (num.toString().indexOf('e') === -1) { |
| | | return Number(num.toString().replace('.', '')); |
| | | } |
| | | const dLen = digitLength(num); |
| | | return dLen > 0 ? strip(Number(num) * Math.pow(10, dLen)) : Number(num); |
| | | } |
| | | |
| | | /** |
| | | * 检测数字是否越界,如果越界给出提示 |
| | | * @private |
| | | * @param {*number} num 输入数 |
| | | */ |
| | | function checkBoundary(num) { |
| | | if (_boundaryCheckingState) { |
| | | if (num > Number.MAX_SAFE_INTEGER || num < Number.MIN_SAFE_INTEGER) { |
| | | console.warn(`${num} 超出了精度限制,结果可能不正确`); |
| | | } |
| | | } |
| | | } |
| | | |
| | | /** |
| | | * 把递归操作扁平迭代化 |
| | | * @param {number[]} arr 要操作的数字数组 |
| | | * @param {function} operation 迭代操作 |
| | | * @private |
| | | */ |
| | | function iteratorOperation(arr, operation) { |
| | | const [num1, num2, ...others] = arr; |
| | | let res = operation(num1, num2); |
| | | |
| | | others.forEach((num) => { |
| | | res = operation(res, num); |
| | | }); |
| | | |
| | | return res; |
| | | } |
| | | |
| | | /** |
| | | * 高精度乘法 |
| | | * @export |
| | | */ |
| | | export function times(...nums) { |
| | | if (nums.length > 2) { |
| | | return iteratorOperation(nums, times); |
| | | } |
| | | |
| | | const [num1, num2] = nums; |
| | | const num1Changed = float2Fixed(num1); |
| | | const num2Changed = float2Fixed(num2); |
| | | const baseNum = digitLength(num1) + digitLength(num2); |
| | | const leftValue = num1Changed * num2Changed; |
| | | |
| | | checkBoundary(leftValue); |
| | | |
| | | return leftValue / Math.pow(10, baseNum); |
| | | } |
| | | |
| | | /** |
| | | * 高精度加法 |
| | | * @export |
| | | */ |
| | | export function plus(...nums) { |
| | | if (nums.length > 2) { |
| | | return iteratorOperation(nums, plus); |
| | | } |
| | | |
| | | const [num1, num2] = nums; |
| | | // 取最大的小数位 |
| | | const baseNum = Math.pow(10, Math.max(digitLength(num1), digitLength(num2))); |
| | | // 把小数都转为整数然后再计算 |
| | | return (times(num1, baseNum) + times(num2, baseNum)) / baseNum; |
| | | } |
| | | |
| | | /** |
| | | * 高精度减法 |
| | | * @export |
| | | */ |
| | | export function minus(...nums) { |
| | | if (nums.length > 2) { |
| | | return iteratorOperation(nums, minus); |
| | | } |
| | | |
| | | const [num1, num2] = nums; |
| | | const baseNum = Math.pow(10, Math.max(digitLength(num1), digitLength(num2))); |
| | | return (times(num1, baseNum) - times(num2, baseNum)) / baseNum; |
| | | } |
| | | |
| | | /** |
| | | * 高精度除法 |
| | | * @export |
| | | */ |
| | | export function divide(...nums) { |
| | | if (nums.length > 2) { |
| | | return iteratorOperation(nums, divide); |
| | | } |
| | | |
| | | const [num1, num2] = nums; |
| | | const num1Changed = float2Fixed(num1); |
| | | const num2Changed = float2Fixed(num2); |
| | | checkBoundary(num1Changed); |
| | | checkBoundary(num2Changed); |
| | | // 重要,这里必须用strip进行修正 |
| | | return times(num1Changed / num2Changed, strip(Math.pow(10, digitLength(num2) - digitLength(num1)))); |
| | | } |
| | | |
| | | /** |
| | | * 四舍五入 |
| | | * @export |
| | | */ |
| | | export function round(num, ratio) { |
| | | const base = Math.pow(10, ratio); |
| | | let result = divide(Math.round(Math.abs(times(num, base))), base); |
| | | if (num < 0 && result !== 0) { |
| | | result = times(result, -1); |
| | | } |
| | | // 位数不足则补0 |
| | | return result; |
| | | } |
| | | |
| | | /** |
| | | * 是否进行边界检查,默认开启 |
| | | * @param flag 标记开关,true 为开启,false 为关闭,默认为 true |
| | | * @export |
| | | */ |
| | | export function enableBoundaryChecking(flag = true) { |
| | | _boundaryCheckingState = flag; |
| | | } |
| | | |
| | | |
| | | export default { |
| | | times, |
| | | plus, |
| | | minus, |
| | | divide, |
| | | round, |
| | | enableBoundaryChecking, |
| | | }; |
| | | |