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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 */ export function strip(num, precision = 15) { return +parseFloat(Number(num).toPrecision(precision)); }
/** * Return digits length of a number * @private * @param {*number} num Input number */ export 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 */ export 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 */ export 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 */ export 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, };
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