/** * @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: number, precision = 12): number { return +parseFloat(num.toPrecision(precision)); } /** * Return digits length of a number * @param num Input number */ function digitLength(num: number): 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 num 输入数 */ function float2Fixed(num: number): number { if (num.toString().indexOf('e') === -1) { return Number(num.toString().replace('.', '')); } const dLen = digitLength(num); return dLen > 0 ? strip(num * Math.pow(10, dLen)) : num; } /** * 检测数字是否越界,如果越界给出提示 * @param 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` ); } } } /** * 精确乘法 */ function times(num1: number, num2: number, ...others: number[]): number { if (others.length > 0) { return times(times(num1, num2), others[0], ...others.slice(1)); } 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(num1: number, num2: number, ...others: number[]): number { if (others.length > 0) { return plus(plus(num1, num2), others[0], ...others.slice(1)); } const baseNum = Math.pow(10, Math.max(digitLength(num1), digitLength(num2))); return (times(num1, baseNum) + times(num2, baseNum)) / baseNum; } /** * 精确减法 */ function minus(num1: number, num2: number, ...others: number[]): number { if (others.length > 0) { return minus(minus(num1, num2), others[0], ...others.slice(1)); } 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(num1: number, num2: number, ...others: number[]): number { if (others.length > 0) { return divide(divide(num1, num2), others[0], ...others.slice(1)); } const num1Changed = float2Fixed(num1); const num2Changed = float2Fixed(num2); checkBoundary(num1Changed); checkBoundary(num2Changed); return times( num1Changed / num2Changed, Math.pow(10, digitLength(num2) - digitLength(num1)) ); } /** * 四舍五入 */ function round(num: number, ratio: number): number { const base = Math.pow(10, ratio); return divide(Math.round(times(num, base)), base); } let _boundaryCheckingState = false; /** * 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; } export { strip, plus, minus, times, divide, round, digitLength, float2Fixed, enableBoundaryChecking }; export default { strip, plus, minus, times, divide, round, digitLength, float2Fixed, enableBoundaryChecking };