c++大数模版

http://blog.csdn.net/hackbuteer1/article/details/6595881

#include<iostream>
#include<string>
#include<iomanip>
#include<algorithm>
using namespace std;

#define MAXN 9999
#define MAXSIZE 10
#define DLEN 4

class BigNum
{
private:
    int a[];    //可以控制大数的位数
    int len;       //大数长度
public:
    BigNum(){ len = ; memset(a, , sizeof(a)); }   //构造函数
    BigNum(const int);       //将一个int类型的变量转化为大数
    BigNum(const char*);     //将一个字符串类型的变量转化为大数
    BigNum(const BigNum &);  //拷贝构造函数
    BigNum &operator=(const BigNum &);   //重载赋值运算符，大数之间进行赋值运算

    friend istream& operator>>(istream&, BigNum&);   //重载输入运算符
    friend ostream& operator<<(ostream&, BigNum&);   //重载输出运算符

    BigNum operator+(const BigNum &) const;   //重载加法运算符，两个大数之间的相加运算
    BigNum operator-(const BigNum &) const;   //重载减法运算符，两个大数之间的相减运算
    BigNum operator*(const BigNum &) const;   //重载乘法运算符，两个大数之间的相乘运算
    BigNum operator/(const int   &) const;    //重载除法运算符，大数对一个整数进行相除运算

    BigNum operator^(const int  &) const;    //大数的n次方运算
    int    operator%(const int  &) const;    //大数对一个int类型的变量进行取模运算
    bool   operator>(const BigNum & T)const;   //大数和另一个大数的大小比较
    bool   operator>(const int & t)const;      //大数和一个int类型的变量的大小比较

    void print();       //输出大数
};
BigNum::BigNum(const int b)     //将一个int类型的变量转化为大数
{
    int c, d = b;
    len = ;
    memset(a, , sizeof(a));
    while (d > MAXN)
    {
        c = d - (d / (MAXN + )) * (MAXN + );
        d = d / (MAXN + );
        a[len++] = c;
    }
    a[len++] = d;
}
BigNum::BigNum(const char*s)     //将一个字符串类型的变量转化为大数
{
    int t, k, index, l, i;
    memset(a, , sizeof(a));
    l = strlen(s);
    len = l / DLEN;
    if (l%DLEN)
        len++;
    index = ;
    for (i = l - ; i >= ; i -= DLEN)
    {
        t = ;
        k = i - DLEN + ;
        if (k<)
            k = ;
        for (int j = k; j <= i; j++)
            t = t *  + s[j] - '';
        a[index++] = t;
    }
}
BigNum::BigNum(const BigNum & T) : len(T.len)  //拷贝构造函数
{
    int i;
    memset(a, , sizeof(a));
    for (i = ; i < len; i++)
        a[i] = T.a[i];
}
BigNum & BigNum::operator=(const BigNum & n)   //重载赋值运算符，大数之间进行赋值运算
{
    int i;
    len = n.len;
    memset(a, , sizeof(a));
    for (i = ; i < len; i++)
        a[i] = n.a[i];
    return *this;
}
istream& operator>>(istream & in, BigNum & b)   //重载输入运算符
{
    char ch[MAXSIZE * ];
    int i = -;
    in >> ch;
    int l = strlen(ch);
    int count = , sum = ;
    for (i = l - ; i >= ;)
    {
        sum = ;
        int t = ;
        for (int j = ; j< && i >= ; j++, i--, t *= )
        {
            sum += (ch[i] - '')*t;
        }
        b.a[count] = sum;
        count++;
    }
    b.len = count++;
    return in;

}
ostream& operator<<(ostream& out, BigNum& b)   //重载输出运算符
{
    int i;
    cout << b.a[b.len - ];
    for (i = b.len - ; i >= ; i--)
    {
        cout.width(DLEN);
        cout.fill('');
        cout << b.a[i];
    }
    return out;
}

BigNum BigNum::operator+(const BigNum & T) const   //两个大数之间的相加运算
{
    BigNum t(*this);
    int i, big;      //位数
    big = T.len > len ? T.len : len;
    for (i = ; i < big; i++)
    {
        t.a[i] += T.a[i];
        if (t.a[i] > MAXN)
        {
            t.a[i + ]++;
            t.a[i] -= MAXN + ;
        }
    }
    if (t.a[big] != )
        t.len = big + ;
    else
        t.len = big;
    return t;
}
BigNum BigNum::operator-(const BigNum & T) const   //两个大数之间的相减运算
{
    int i, j, big;
    bool flag;
    BigNum t1, t2;
    if (*this>T)
    {
        t1 = *this;
        t2 = T;
        flag = ;
    }
    else
    {
        t1 = T;
        t2 = *this;
        flag = ;
    }
    big = t1.len;
    for (i = ; i < big; i++)
    {
        if (t1.a[i] < t2.a[i])
        {
            j = i + ;
            while (t1.a[j] == )
                j++;
            t1.a[j--]--;
            while (j > i)
                t1.a[j--] += MAXN;
            t1.a[i] += MAXN +  - t2.a[i];
        }
        else
            t1.a[i] -= t2.a[i];
    }
    t1.len = big;
    while (t1.a[t1.len - ] ==  && t1.len > )
    {
        t1.len--;
        big--;
    }
    if (flag)
        t1.a[big - ] =  - t1.a[big - ];
    return t1;
}

BigNum BigNum::operator*(const BigNum & T) const   //两个大数之间的相乘运算
{
    BigNum ret;
    int i, j, up;
    int temp, temp1;
    for (i = ; i < len; i++)
    {
        up = ;
        for (j = ; j < T.len; j++)
        {
            temp = a[i] * T.a[j] + ret.a[i + j] + up;
            if (temp > MAXN)
            {
                temp1 = temp - temp / (MAXN + ) * (MAXN + );
                up = temp / (MAXN + );
                ret.a[i + j] = temp1;
            }
            else
            {
                up = ;
                ret.a[i + j] = temp;
            }
        }
        if (up != )
            ret.a[i + j] = up;
    }
    ret.len = i + j;
    while (ret.a[ret.len - ] ==  && ret.len > )
        ret.len--;
    return ret;
}
BigNum BigNum::operator/(const int & b) const   //大数对一个整数进行相除运算
{
    BigNum ret;
    int i, down = ;
    for (i = len - ; i >= ; i--)
    {
        ret.a[i] = (a[i] + down * (MAXN + )) / b;
        down = a[i] + down * (MAXN + ) - ret.a[i] * b;
    }
    ret.len = len;
    while (ret.a[ret.len - ] ==  && ret.len > )
        ret.len--;
    return ret;
}
int BigNum::operator %(const int & b) const    //大数对一个int类型的变量进行取模运算
{
    int i, d = ;
    for (i = len - ; i >= ; i--)
    {
        d = ((d * (MAXN + )) % b + a[i]) % b;
    }
    return d;
}
BigNum BigNum::operator^(const int & n) const    //大数的n次方运算
{
    BigNum t, ret();
    int i;
    if (n<)
        exit(-);
    if (n == )
        return ;
    if (n == )
        return *this;
    int m = n;
    while (m>)
    {
        t = *this;
        for (i = ; i <<  <= m; i <<= )
        {
            t = t*t;
        }
        m -= i;
        ret = ret*t;
        if (m == )
            ret = ret*(*this);
    }
    return ret;
}
bool BigNum::operator>(const BigNum & T) const   //大数和另一个大数的大小比较
{
    int ln;
    if (len > T.len)
        return true;
    else if (len == T.len)
    {
        ln = len - ;
        while (a[ln] == T.a[ln] && ln >= )
            ln--;
        if (ln >=  && a[ln] > T.a[ln])
            return true;
        else
            return false;
    }
    else
        return false;
}
bool BigNum::operator >(const int & t) const    //大数和一个int类型的变量的大小比较
{
    BigNum b(t);
    return *this>b;
}

void BigNum::print()    //输出大数
{
    int i;
    cout << a[len - ];
    for (i = len - ; i >= ; i--)
    {
        cout.width(DLEN);
        cout.fill('');
        cout << a[i];
    }
    cout << endl;
}
int main(void)
{
    BigNum x();
    BigNum y(x);
    cout << x + y << endl;
    cout << x - y << endl;
    cout << x * y << endl;

}