/** * @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 */ type NumberType = number | string; /** * Correct the given number to specifying significant digits. * * @param num The input number * @param precision An integer specifying the number of significant digits * * @example strip(0.09999999999999998) === 0.1 // true */ function strip(num: NumberType, precision = 15): number { return +parseFloat(Number(num).toPrecision(precision)); } /** * Return digits length of a number. * * @param num The input number */ function digitLength(num: NumberType): 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; } /** * Convert the given number to integer, support scientific notation. * The number will be scale up if it is decimal. * * @param num The input number */ function float2Fixed(num: NumberType): 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); } /** * Log a warning if the given number is out of bounds. * * @param num The input number */ 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`); } } } /** * Create an operation to support rest params. * * @param operation The original operation */ function createOperation(operation: (n1: NumberType, n2: NumberType) => number): (...nums: NumberType[]) => number { return (...nums: NumberType[]) => { const [first, ...others] = nums; return others.reduce((prev, next) => operation(prev, next), first) as number; }; } /** * Accurate multiplication. * * @param nums The numbers to multiply */ const times = createOperation((num1, num2) => { 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); }); /** * Accurate addition. * * @param nums The numbers to add */ const plus = createOperation((num1, num2) => { // 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; }); /** * Accurate subtraction. * * @param nums The numbers to subtract */ const minus = createOperation((num1, num2) => { const baseNum = Math.pow(10, Math.max(digitLength(num1), digitLength(num2))); return (times(num1, baseNum) - times(num2, baseNum)) / baseNum; }); /** * Accurate division. * * @param nums The numbers to divide */ const divide = createOperation((num1, num2) => { 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, strip(Math.pow(10, digitLength(num2) - digitLength(num1)))); }); /** * Accurate rounding method. * * @param num The number to round * @param decimal An integer specifying the decimal digits */ function round(num: NumberType, decimal: number): number { const base = Math.pow(10, decimal); let result = divide(Math.round(Math.abs(times(num, base))), base); if (num < 0 && result !== 0) { result = times(result, -1); } return result; } let _boundaryCheckingState = true; /** * Whether to check the bounds of number, default is enabled. * * @param flag The value to indicate whether is enabled */ 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, };