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			168 lines
		
	
	
		
			3.8 KiB
		
	
	
	
		
			JavaScript
		
	
	
	
	
	
			
		
		
	
	
			168 lines
		
	
	
		
			3.8 KiB
		
	
	
	
		
			JavaScript
		
	
	
	
	
	
let _boundaryCheckingState = true; // 是否进行越界检查的全局开关
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/**
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 * 把错误的数据转正
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 * @private
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 * @example strip(0.09999999999999998)=0.1
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 */
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function strip(num, precision = 15) {
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  return +parseFloat(Number(num).toPrecision(precision));
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}
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/**
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 * Return digits length of a number
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 * @private
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 * @param {*number} num Input number
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 */
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function digitLength(num) {
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  // Get digit length of e
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  const eSplit = num.toString().split(/[eE]/);
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  const len = (eSplit[0].split('.')[1] || '').length - +(eSplit[1] || 0);
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  return len > 0 ? len : 0;
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}
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/**
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 * 把小数转成整数,如果是小数则放大成整数
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 * @private
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 * @param {*number} num 输入数
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 */
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function float2Fixed(num) {
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  if (num.toString().indexOf('e') === -1) {
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    return Number(num.toString().replace('.', ''));
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  }
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  const dLen = digitLength(num);
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  return dLen > 0 ? strip(Number(num) * Math.pow(10, dLen)) : Number(num);
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}
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/**
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 * 检测数字是否越界,如果越界给出提示
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 * @private
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 * @param {*number} num 输入数
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 */
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function checkBoundary(num) {
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  if (_boundaryCheckingState) {
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    if (num > Number.MAX_SAFE_INTEGER || num < Number.MIN_SAFE_INTEGER) {
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      console.warn(`${num} 超出了精度限制,结果可能不正确`);
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    }
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  }
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}
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/**
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 * 把递归操作扁平迭代化
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 * @param {number[]} arr 要操作的数字数组
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 * @param {function} operation 迭代操作
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 * @private
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 */
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function iteratorOperation(arr, operation) {
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  const [num1, num2, ...others] = arr;
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  let res = operation(num1, num2);
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  others.forEach((num) => {
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    res = operation(res, num);
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  });
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  return res;
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}
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/**
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 * 高精度乘法
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 * @export
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 */
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export function times(...nums) {
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  if (nums.length > 2) {
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    return iteratorOperation(nums, times);
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  }
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  const [num1, num2] = nums;
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  const num1Changed = float2Fixed(num1);
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  const num2Changed = float2Fixed(num2);
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  const baseNum = digitLength(num1) + digitLength(num2);
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  const leftValue = num1Changed * num2Changed;
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  checkBoundary(leftValue);
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  return leftValue / Math.pow(10, baseNum);
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}
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/**
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 * 高精度加法
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 * @export
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 */
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export function plus(...nums) {
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  if (nums.length > 2) {
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    return iteratorOperation(nums, plus);
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  }
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  const [num1, num2] = nums;
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  // 取最大的小数位
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  const baseNum = Math.pow(10, Math.max(digitLength(num1), digitLength(num2)));
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  // 把小数都转为整数然后再计算
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  return (times(num1, baseNum) + times(num2, baseNum)) / baseNum;
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}
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/**
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 * 高精度减法
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 * @export
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 */
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export function minus(...nums) {
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  if (nums.length > 2) {
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    return iteratorOperation(nums, minus);
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  }
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  const [num1, num2] = nums;
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  const baseNum = Math.pow(10, Math.max(digitLength(num1), digitLength(num2)));
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  return (times(num1, baseNum) - times(num2, baseNum)) / baseNum;
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}
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/**
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 * 高精度除法
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 * @export
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 */
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export function divide(...nums) {
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  if (nums.length > 2) {
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    return iteratorOperation(nums, divide);
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  }
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  const [num1, num2] = nums;
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  const num1Changed = float2Fixed(num1);
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  const num2Changed = float2Fixed(num2);
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  checkBoundary(num1Changed);
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  checkBoundary(num2Changed);
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  // 重要,这里必须用strip进行修正
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  return times(num1Changed / num2Changed, strip(Math.pow(10, digitLength(num2) - digitLength(num1))));
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}
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/**
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 * 四舍五入
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 * @export
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 */
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export function round(num, ratio) {
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  const base = Math.pow(10, ratio);
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  let result = divide(Math.round(Math.abs(times(num, base))), base);
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  if (num < 0 && result !== 0) {
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    result = times(result, -1);
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  }
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  // 位数不足则补0
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  return result;
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}
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/**
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 * 是否进行边界检查,默认开启
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 * @param flag 标记开关,true 为开启,false 为关闭,默认为 true
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 * @export
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 */
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export function enableBoundaryChecking(flag = true) {
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  _boundaryCheckingState = flag;
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}
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export default {
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  times,
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  plus,
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  minus,
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  divide,
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  round,
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  enableBoundaryChecking,
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};
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