// 大数的四则运算
#include <iostream>
#include <string>
#include <algorithm>
using namespace std; class BIGINTEGEROPERATIONS
{
private:
static int COMPARE(string number1, string number2)
{
int j; int length1 = number1.size();
int length2 = number2.size(); if(number1.size() == 0) number1 = "0";
if(number2.size() == 0) number2 = "0"; j = 0;
for(int i = 0; i < length1; ++i)
{
if(number1[i] == '0') ++j;
else break;
}
number1 = number1.substr(j); j = 0;
for(int i = 0; i < length2; ++i)
{
if(number2[i] == '0') ++j;
else break;
}
number2 = number2.substr(j); length1 = number1.size();
length2 = number2.size(); if(length1 > length2)
{
return 1;
}
else if(length1 == length2)
{
if(number1.compare(number2) > 0)
{
return 1;
}
else if(number1.compare(number2) == 0)
{
return 0;
}
else
{
return -1;
}
}
else
{
return -1;
} return 0;
} public:
static string PLUS(string number1,string number2)
{
int i;
int length1 = number1.size();
int length2 = number2.size(); string result=""; reverse(number1.begin(), number1.end());
reverse(number2.begin(), number2.end()); for(i = 0; i < length1 && i < length2; i++)
{
char c = (char)(number1[i] + number2[i] - 48);
result = result + c;
} while(i < length1)
{
result = result + number1[i];
++i;
} while(i < length2)
{
result = result + number2[i];
++i;
} int carry = 0;
for(i = 0; i < (int)result.size(); ++i)
{
int value = result[i] - 48 + carry;
result[i] = (char)(value % 10 + 48);
carry = value / 10;
} if(carry !=0 )
{
result = result + (char)(carry + 48);
} for(i = result.size() - 1; i >= 0; i--)
{
if(result[i] != '0') break;
} result = result.substr(0, i + 1); reverse(result.begin(), result.end());
if(result.length() == 0) result = "0";
return result;
} static string MINUS(string number1,string number2)
{
int i;
string result = ""; int length1 = number1.size();
int length2 = number2.size(); if(COMPARE(number2,number1) > 0)
{
return "-" + MINUS(number2, number1);
} reverse(number1.begin(),number1.end());
reverse(number2.begin(),number2.end()); for(i = 0; i < length1 && i < length2; i++)
{
char c = number1[i] - number2[i] + 48;
result = result + c;
} if(i < length1)
{
for(; i < length1; i++)
{
result = result + number1[i];
}
} int carry = 0;
for(i = 0; i < (int)result.length(); i++)
{
int value = result[i] - 48 + carry;
if(value < 0)
{
value = value + 10;
carry = -1;
}
else carry = 0;
result[i]=(char)(value + 48);
} for(i = result.size() - 1; i >= 0; i--)
{
if(result[i] != '0')break;
} result = result.substr(0, i+1); reverse(result.begin(), result.end());
if(result.length()==0) result = "0";
return result;
} static string MULTIPLY(string number1, string number2)
{
int i, j;
int *iresult;
int length1 = number1.size();
int length2 = number2.size();
string result = ""; reverse(number1.begin(), number1.end());
reverse(number2.begin(), number2.end()); iresult = (int*)malloc(sizeof(int) * (length1 + length2 + 1));
memset(iresult, 0, sizeof(int) * (length1 + length2 + 1)); for(i = 0; i < length1; i++)
{
for(j = 0; j < length2; j++)
{
iresult[i+j] += ((number1[i] - 48) * (number2[j] - 48));
}
} int carry = 0;
for(i = 0; i < length1 + length2; i++)
{
int value = iresult[i] + carry;
iresult[i] = value % 10;
carry = value / 10;
} for(i = length1 + length2 - 1; i >= 0; i--)
{
if(iresult[i] != 0)break;
} for(; i >= 0; i--)
{
result = result + (char)(iresult[i]+48);
} free(iresult); if(result == "") result = "0";
return result;
} // 缺省地,商数向下取整, floatpoint用于指定保留小数点的位数
static string DIVIDE(string number1, string number2, int floatpoint = 0)
{
int i, j, pos;
string result = "";
string tempstr = "";
int length1 = number1.size();
int length2 = number2.size(); if((COMPARE(number2, number1) > 0) && (floatpoint == 0))
{
return "0";
} tempstr = number1.substr(0, length2);
pos = length2 - 1; while(pos < length1)
{
int quotient = 0;
while(COMPARE(tempstr, number2) >= 0)
{
quotient++;
tempstr = MINUS(tempstr, number2);
} result = result + (char)(quotient + 48);
pos++;
if(pos < length1)
{
tempstr += number1[pos];
}
} if(floatpoint > 0)
{
result += '.';
string stmp = "1";
int itmp = 0;
for(int k = 0; k < floatpoint; ++k)
{
stmp += '0';
if(COMPARE(MULTIPLY(MINUS(number1, MULTIPLY(DIVIDE(number1, number2), number2)), stmp), number2) < 0)
{
result += '0';
++itmp;
}
} string temp = DIVIDE(MULTIPLY(MINUS(number1, MULTIPLY(DIVIDE(number1, number2), number2)), stmp), number2);
if(temp[0] != '0') result += temp;
} j = result.size();
for(i = 0; i < j; i++)
{
if(result[i] != '0') break;
} result = result.substr(i, j); return result;
} static string MOD(string number1, string number2)
{
if(COMPARE(number2, number1) > 0)
{
return number1;
}
else if(COMPARE(number2, number1) == 0)
{
return "0";
}
else
{
return MINUS(number1, MULTIPLY(DIVIDE(number1, number2), number2));
}
}
}; int main(int argc, char* argv[])
{
string str1 = "9999999999999999999999999999999999999999";
string str2 = "9998999899989998999899989998999899989998"; cout << BIGINTEGEROPERATIONS::PLUS(str1, str2) << endl;
cout << "===============" << endl;
cout << BIGINTEGEROPERATIONS::MINUS(str1, str2) << endl;
cout << "===============" << endl;
cout << BIGINTEGEROPERATIONS::MULTIPLY(str1, str2) << endl;
cout << "===============" << endl;
cout << BIGINTEGEROPERATIONS::DIVIDE(str1, str2, 4) << endl;
cout << "===============" << endl;
cout << BIGINTEGEROPERATIONS::MOD(str1, str2) << endl; return 0;
}

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