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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
- */
- 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,
- };
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