Karatsuba算法

时间:2017-07-03 01:17:35

标签: algorithm recursion biginteger multiplying karatsuba

我运行程序时遇到这些错误,有人能发现错误吗?我没有使用递归的经验,我可能搞乱了基本情况。我的测试由两个相同长度的数字组成,我的目标是在不使用内置类的情况下将两个Big数相乘。方法add只接受两个字符串,这些字符串是数字并添加它们,我检查了它,无论数字有多大,它都可以工作。

  

错误NumberFormatException:对于输入字符串:""   的Integer.parseInt(Integer.java:592)

public static String mu (String value1, String value2){

    int length1 = value1.length();
    int length2 = value2.length();

    //If one value has more digits than the other, add zeroes to the front...



    int temp1;
    int temp2;
    int multiply;

    if (length1==1 || length2 ==1){
        temp1 = Integer.parseInt(value1);
        temp2 = Integer.parseInt(value2);
        multiply = temp1*temp2;
        return multiply +"" ;
    }else if (length1 ==0 || length2 ==0){
        return "";
    }



        int firstHalf = length1/2;
        int secondHalf = length1 - firstHalf;

        String value1First = value1.substring(0, firstHalf);
        String value1Second = value1.substring(firstHalf, secondHalf);


        String value2First = value2.substring(0, firstHalf);
        String value2Second = value2.substring(firstHalf, secondHalf);

        String ac = mu (value1First, value2First);
        String ad = mu (value1First, value2Second);
        String bc = mu(value1Second, value2First);
        String bd = mu(value1Second, value2Second);

        String zeroesToAdd= null;
        String zeroesToAdd2 = null;
        for (int i=0; i<length1; i++){
            zeroesToAdd = "0"+ zeroesToAdd;
        }
        for (int i=0; i<length1/2; i++){
            zeroesToAdd2 = "0"+ zeroesToAdd2;
        }

        String firstPart = ac + zeroesToAdd;
        String secondPart = (add(ad,bc))+zeroesToAdd2;
        String thirdPart = bd;

        String add1 = add(firstPart, secondPart);
        String add2;




        return add(add1, thirdPart);
    }

1 个答案:

答案 0 :(得分:2)

  

错误NumberFormatException:对于输入字符串:&#34;&#34;   的Integer.parseInt(Integer.java:592)

是由代码

引起的
Integer.parseInt(value1)  or
Integer.parseInt(value2)

您可能想尝试为str长度(1,1)(1,0)(0,1)(0,0)的组合添加更多个案。以下代码可能有所帮助!

if (length1==1 && length2 ==1){
    temp1 = Integer.parseInt(value1);
    temp2 = Integer.parseInt(value2);
    multiply = temp1*temp2;
    return multiply +"" ;
}else if (length1 ==0 && length2 ==0){
    return "";
}
else if (length1 ==0 && length2 ==1){
    return value2;
}
else if (length1 ==1 && length2 ==0){
    return value1;
}

希望它有所帮助!