浮点数运算的精确

export const floatObj = function () {
  /*
   * 判断obj是否为一个整数
   */
  function isInteger(obj) {
    return Math.floor(obj) === obj
  }
  /*
   * 将一个浮点数转成整数,返回整数和倍数。如 3.14 >> 314,倍数是 100
   * @param floatNum {number} 小数
   * @return {object}
   *   {times:100, num: 314}
   */
  function toInteger(floatNum) {
    var ret = { times: 1, num: 0 };
    if (isInteger(floatNum)) {
      ret.num = floatNum;
      return ret
    }
    var strfi = floatNum + '';
    var dotPos = strfi.indexOf('.');
    var len = strfi.substr(dotPos + 1).length;
    var times = Math.pow(10, len);
    var intNum = parseInt(String(floatNum * times), 10);
    ret.times = times;
    ret.num = intNum;
    return ret
  }

  /*
   * 核心方法,实现加减乘除运算,确保不丢失精度
   * 思路:把小数放大为整数(乘),进行算术运算,再缩小为小数(除)
   * @param a {number} 运算数1
   * @param b {number} 运算数2
   * @param op {string} 运算类型,有加减乘除(add/subtract/multiply/divide)
   */
  function operation(a, b, op) {
    var o1 = toInteger(a);
    var o2 = toInteger(b);
    var n1 = o1.num;
    var n2 = o2.num;
    var t1 = o1.times;
    var t2 = o2.times;
    var max = t1 > t2 ? t1 : t2;
    var result = null;
    switch (op) {
      case 'add':
        if (t1 === t2) { // 两个小数位数相同
          result = n1 + n2
        } else if (t1 > t2) { // o1 小数位 大于 o2
          result = n1 + n2 * (t1 / t2)
        } else { // o1 小数位 小于 o2
          result = n1 * (t2 / t1) + n2
        }
        return result / max;
      case 'subtract':
        if (t1 === t2) {
          result = n1 - n2
        } else if (t1 > t2) {
          result = n1 - n2 * (t1 / t2)
        } else {
          result = n1 * (t2 / t1) - n2
        }
        return result / max;
      case 'multiply':
        result = (n1 * n2) / (t1 * t2);
        return result;
      case 'divide':
        result = (n1 / n2) * (t2 / t1);
        return result
    }
  }

  // 加减乘除的四个接口
  function add(a, b) {
    return operation(a, b, 'add')
  }

  function subtract(a, b) {
    return operation(a, b, 'subtract')
  }

  function multiply(a, b) {
    return operation(a, b, 'multiply')
  }

  function divide(a, b) {
    return operation(a, b, 'divide')
  }

  // exports
  return {
    add: add,
    subtract: subtract,
    multiply: multiply,
    divide: divide
  }
}()

  

  

posted @ 2019-10-30 15:07  龙旋风  阅读(316)  评论(4编辑  收藏  举报