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#include <iostream>
#include <string>
#include <stack>
using namespace std;
//Acts as an helper function for large numeric string addition
void deleteLeadingZeros(string& num){
//delete any starting 0's
if(num[0] == '0'){
unsigned int strtCpyIndex = 0;
strtCpyIndex = num.find_first_not_of("0");
string temp = num.substr(strtCpyIndex);
num = temp;
}
}
//adds leading 0's for the smaller string
void equalizeLength(string& num1 , string& num2, char pad = '0'){
if(num1.size() < num2.size()){
unsigned int diff = num2.size() - num1.size();
string temp;
while(diff--) //add starting zeros
temp += pad;
temp += num1;
num1 = temp;
}
else if(num2.size() < num1.size()){
unsigned int diff = num1.size() - num2.size();
string temp;
while(diff--) //add starting zeros
temp += pad;
temp += num2;
num2 = temp;
}
}
string addLargeNumbers(string num1, string num2)
{
//simple error check
/* if(num1.empty())
return num2;
else if(num2.empty())
return num1;
*/ // not sure if needed
//check for valid information passed here if you want
//holds out result of addition
stack<short> addResult;
//addResult in string version
string returnResult = "";
//delete any starting 0's
//example if num1 = 001
//after the call below num = 1
deleteLeadingZeros(num1);
deleteLeadingZeros(num2);
//match size by adding in leading 0's for the smaller number
//example num1 = 100 and num2 = 50
//after the call num1 = 100 and num2 = 050
equalizeLength(num1,num2);
int lastAddElem = num1.size()- 1;
bool hasCarry = false;
short result = 0; //holds result of each integer addition
//start calculation
for(int i = lastAddElem; i >= 0; --i)
{
result = (num1[i] - '0') + (num2[i] - '0') ; //convert to decimal and add
if(result < 10 && !hasCarry)
addResult.push(result);
else
{
if(hasCarry){
result += 1; //account for the carry
hasCarry = result < 10 ? false : true;
addResult.push(result%10);
}
else
{
hasCarry = true;
addResult.push(result % 10 );
}
}
}
//check for highest bit carry
if(hasCarry)
addResult.push(result/10);
//extract data
while(addResult.size()){
returnResult += (addResult.top() + '0');
addResult.pop();
}
return returnResult;
}
string multiplyLargeNumbers(string num1, string num2)
{
string temps = "", temps2 = "";
int zeromulti = 0;
short rmndr;
short carry;
//simple error check
/* if(num1.empty())
return num2;
else if(num2.empty())
return num1;
*/ // not sure if needed
//check for valid information passed here if you want
//holds out result of multiplication
stack<short> multiplyResult;
string multiplicationlevel = "";
//delete any starting 0's
//example if num1 = 001
//after the call below num = 1
deleteLeadingZeros(num1);
deleteLeadingZeros(num2);
//match size by adding in leading 0's for the smaller number
//example num1 = 100 and num2 = 50
//after the call num1 = 100 and num2 = 050
equalizeLength(num1,num2);
int lastAddElem = num1.size()- 1;
bool hasCarry = false;
short result = 0; //holds result of each integer addition
//start calculation
for(int i = lastAddElem; i >= 0; --i)
{
for(int t = lastAddElem; t >= 0; --t)
{
result = 0;
result = (num1[t] - '0') * (num2[i] - '0'); //convert to decimal and multiply
if(result < 10 && !hasCarry)
{multiplyResult.push(result);}
// else
// {
else if(hasCarry){
result += carry; //account for the carry
hasCarry = result < 10 ? false : true;
rmndr = (result/10);
rmndr = (result - (rmndr*10));
multiplyResult.push(rmndr);
carry = result/10;
}
// }
else
{
hasCarry = true;
rmndr = result/10;
rmndr = (result - (rmndr*10));
multiplyResult.push(rmndr);
carry = result/10;
}
}
if(hasCarry)
{multiplyResult.push(carry);}
// else if ( multiplicationlevel != "" ) { multiplicationlevel = "0"; }
while(multiplyResult.size()){
multiplicationlevel += (multiplyResult.top() + '0');
multiplyResult.pop();
}
if (temps != ""){
zeromulti += 1;
for ( int z = zeromulti; z > 0; --z) {multiplicationlevel += "0";}
temps2 = addLargeNumbers(multiplicationlevel, temps);
temps = temps2;
}
else if ( temps == "") { temps = multiplicationlevel; }
// multiplicationlevel = "";
multiplicationlevel.erase (multiplicationlevel.begin(), multiplicationlevel.end());
// if (multiplicationlevel != "") {cout << "Check Temps:" << temps << endl;}
}
// deleteLeadingZeros(temps);
return temps;
}
int main()
{
string num1,num2;
while(true){
cout<<"Enter 2 integer for addition and multiplication: ";
cin >> num1 >> num2;
cout << num1 << "+" << num2 <<" = "<<addLargeNumbers(num1,num2)<<endl;
cout << num1 << "*" << num2 <<" = " << multiplyLargeNumbers(num1, num2) << endl;
}
}
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