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, }