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167 lines
3.8 KiB
167 lines
3.8 KiB
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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