/* eslint-disable no-restricted-properties */ type numType = number | string; /** * @desc 解决浮动运算问题,避免小数点后产生多位数和计算精度损失。 * 问题示例:2.3 + 2.4 = 4.699999999999999,1.0 - 0.9 = 0.09999999999999998 */ /** * 把错误的数据转正 * strip(0.09999999999999998)=0.1 */ function strip(num: numType, precision = 15): number { return +parseFloat(Number(num).toPrecision(precision)); } /** * Return digits length of a number * @param {*number} num Input number */ function digitLength(num: numType): number { // 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,支持科学计数法。如果是小数则放大成整数 * @param {*number} num 输入数 */ function float2Fixed(num: numType): number { 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); } /** * 迭代操作 */ function iteratorOperation(arr: numType[], operation: (...args: numType[]) => number): number { const [num1, num2, ...others] = arr; let res = operation(num1, num2); others.forEach((num) => { res = operation(res, num); }); return res; } /** * 精确乘法 */ function times(...nums: numType[]): number { 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); } /** * 精确加法 */ function plus(...nums: numType[]): number { 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; } /** * 精确减法 */ function minus(...nums: numType[]): number { 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; } /** * 精确除法 */ function divide(...nums: numType[]): number { if (nums.length > 2) { return iteratorOperation(nums, divide); } const [num1, num2] = nums; const num1Changed = float2Fixed(num1); const num2Changed = float2Fixed(num2); checkBoundary(num1Changed); checkBoundary(num2Changed); // fix: 类似 10 ** -4 为 0.00009999999999999999,strip 修正 return times( num1Changed / num2Changed, // eslint-disable-next-line no-restricted-properties strip(Math.pow(10, digitLength(num2) - digitLength(num1))), ); } let _boundaryCheckingState = true; /** * 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 */ function enableBoundaryChecking(flag = true) { _boundaryCheckingState = flag; } /** * 检测数字是否越界,如果越界给出提示 * @param {*number} num 输入数 */ function checkBoundary(num: number) { if (_boundaryCheckingState) { if (num > Number.MAX_SAFE_INTEGER || num < Number.MIN_SAFE_INTEGER) { console.warn( `${num} is beyond boundary when transfer to integer, the results may not be accurate`, ); } } } export { strip, plus, minus, times, divide, digitLength, float2Fixed, enableBoundaryChecking };