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BigDecmialInt.cpp
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BigDecmialInt.cpp
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#include "header.h"
BigDecimalInt::BigDecimalInt(string BigNumber){
removeLeadingZeros(BigNumber);
if (BigNumber[0] == '-')
{
this->sign = '-';
}
if (BigNumber[0] == '+' || BigNumber[0] == '-')
{
BigNumber.erase(0, 1);
}
this->decStr = BigNumber;
}
void BigDecimalInt::removeLeadingZeros(string &BigNumber)
{
int ctr = 0;
for (int i = 0; i < BigNumber.length(); i++)
{
if (BigNumber[i] == '0' && i + 1 != BigNumber.length())
{
ctr++;
}
else if (BigNumber[i] != '+' && BigNumber[i] != '-')
{
break;
}
}
if (BigNumber[0] == '-')
{
BigNumber = '-' + BigNumber.substr(ctr + 1);
}
else if(BigNumber[0] == '+'){
BigNumber = '+' + BigNumber.substr(ctr + 1);
}
else{
BigNumber = BigNumber.substr(ctr);
}
}
BigDecimalInt& BigDecimalInt::operator+(BigNumber& other){
BigDecimalInt otherBigDecimal = dynamic_cast<BigDecimalInt&>(other);
string res;
// Check the signs of the two numbers and act accordingly
if (this->sign == '+' && otherBigDecimal.sign == '-')
{
otherBigDecimal.sign = '+';
return *this - otherBigDecimal;
}
else if (this->sign == '-' && otherBigDecimal.sign == '+')
{
this->sign = '+';
return otherBigDecimal - *this;
}else if(this->sign == '-' && otherBigDecimal.sign == '-'){
res += '-';
}
int rem=0; // Remainder
// Swap the two numbers if the first one is shorter than the second one
if (this->decStr.length() < otherBigDecimal.decStr.length())
{
swap(*this, otherBigDecimal);
}
// Fill the shorter number with zeros
addLeadingZeros(this->decStr.length() - otherBigDecimal.decStr.length(), otherBigDecimal);
// Add the two numbers digit by digit
for (int i = this->decStr.length() - 1; i >= 0; i--)
{
int temp = 0;
temp = (int)this->decStr[i] - 48 + rem + (int)otherBigDecimal.decStr[i] - 48;
rem = 0;
if (temp >= 10)
{
string stemp = to_string(temp);
res.push_back(stemp[1]);
rem = stemp[0] - 48;
if (i - 1 < 0)
{
res.push_back(stemp[0]);
}
}
else{
string stemp = to_string(temp);
res.push_back(stemp[0]);
}
}
// Reverse the result and return it
if(res[0]=='-'){
reverse(res.begin() + 1, res.end());
}
else{
reverse(res.begin(), res.end());
}
BigDecimalInt* result = new BigDecimalInt(res);
return *result;
}
BigDecimalInt& BigDecimalInt::operator-(BigNumber& other){
BigDecimalInt otherBigDecimal = dynamic_cast<BigDecimalInt&>(other);
// Check the signs of the two numbers and act accordingly
if (this->sign == '+' && otherBigDecimal.sign == '-')
{
otherBigDecimal.sign = '+';
return *this + otherBigDecimal;
}
else if (this->sign == '-' && otherBigDecimal.sign == '+')
{
otherBigDecimal.sign='-';
return *this + otherBigDecimal;
}
if (this->sign == '-' && otherBigDecimal.sign == '-')
{
otherBigDecimal.sign='+';
}
string res;
int x;
// Swap the two numbers if the first one is shorter than the second one
if (this->decStr.length() < otherBigDecimal.decStr.length())
{
swap(*this, otherBigDecimal);
// Change the sign of the result depending on the signs of the two numbers
if (this->sign == '+' && otherBigDecimal.sign == '+')
{
res+='-';
}
}
// Fill the shorter number with zeros
addLeadingZeros(this->decStr.length() - otherBigDecimal.decStr.length(), otherBigDecimal);
// Check the signs of the two numbers and act accordingly
if ((int)this->decStr[0] - 48 < (int)otherBigDecimal.decStr[0] - 48)
{
if ((otherBigDecimal.sign == '-' && this->sign == '+') || (this->sign == '+' && otherBigDecimal.sign == '+'))
{
res += '-';
}
swap(*this, otherBigDecimal);
}
if ((int)this->decStr[0] - 48 > (int)otherBigDecimal.decStr[0] - 48)
{
if (this->sign == '-' && otherBigDecimal.sign == '+')
{
res += '-';
}
}
else if ((int)this->decStr[0] - 48 == (int)otherBigDecimal.decStr[0] - 48)
{
for (int i = 0; i < this->decStr.length(); i++)
{
if (this->sign == '-' && otherBigDecimal.sign == '+')
{
if ((int)this->decStr[i] - 48 > (int)otherBigDecimal.decStr[i] - 48)
{
res += '-';
break;
}
else if ((int)this->decStr[i] - 48 < (int)otherBigDecimal.decStr[i] - 48)
{
swap(*this, otherBigDecimal);
break;
}
}
else if (this->sign == '+' && otherBigDecimal.sign == '-')
{
if ((int)this->decStr[i] - 48 > (int)otherBigDecimal.decStr[i] - 48)
{
break;
}
else if ((int)this->decStr[i] - 48 < (int)otherBigDecimal.decStr[i] - 48)
{
res += '-';
swap(*this, otherBigDecimal);
break;
}
}
else if(this->sign=='+' && otherBigDecimal.sign=='+'){
if ((int)this->decStr[i] - 48 < (int)otherBigDecimal.decStr[i] - 48)
{
res += '-';
swap(*this, otherBigDecimal);
break;
}
else if ((int)this->decStr[i] - 48 > (int)otherBigDecimal.decStr[i] - 48)
{
break;
}
}
}
}
for (int i = this->decStr.length()-1; i >= 0 ; i--)
{
int rem = 0;
int temp = 0;
if ((int)this->decStr[i] - 48 < (int)otherBigDecimal.decStr[i] - 48 && i != 0)
{
rem = 10;
this->decStr[i - 1] -= 1;
}
temp = ((int)this->decStr[i] - 48 + rem) - ((int)otherBigDecimal.decStr[i] - 48);
string stemp = to_string(temp);
res.push_back(stemp[0]);
}
if(res[0]=='-'){
reverse(res.begin() + 1, res.end());
}
else{
reverse(res.begin(), res.end());
}
BigDecimalInt* result = new BigDecimalInt(res);
return *result;
}
void BigDecimalInt::addLeadingZeros(int num_of_zeros,BigDecimalInt& otherBigDecimal){
string temp;
for (int i = 0; i < num_of_zeros; i++)
{
temp += '0';
}
otherBigDecimal.decStr = temp + otherBigDecimal.decStr;
}
bool BigDecimalInt::operator>(BigNumber& other){
BigDecimalInt& otherBigDecimal = dynamic_cast<BigDecimalInt&>(other);
bool same = false;
if (this->sign == '-' && otherBigDecimal.sign == '+')
{
return false;
}
else if (this->sign == '+' && otherBigDecimal.sign == '-')
{
return true;
}
else if (this->sign == '+' && otherBigDecimal.sign == '+')
{
if (this->decStr.length() < otherBigDecimal.decStr.length())
{
return false;
}
else if (this->decStr.length() > otherBigDecimal.decStr.length())
{
return true;
}
else{
for (int i = 0; i < this->decStr.length(); i++)
{
if (this->decStr[i] < otherBigDecimal.decStr[i])
{
return false;
break;
}
else if (this->decStr[i] > otherBigDecimal.decStr[i])
{
return true;
break;
}
}
}
}
if (this->decStr.length() < otherBigDecimal.decStr.length())
{
return true;
}
else if (this->decStr.length() > otherBigDecimal.decStr.length())
{
return false;
}
for (int i = 0; i < this->decStr.length(); i++)
{
if (this->decStr[i] < otherBigDecimal.decStr[i])
{
return true;
break;
}
else if (this->decStr[i] > otherBigDecimal.decStr[i])
{
return false;
break;
}
else{
same = true;
}
}
if (same)
{
return false;
}
return true;
}
bool BigDecimalInt::operator<(BigNumber& other){
BigDecimalInt& otherBigDecimal = dynamic_cast<BigDecimalInt&>(other);
bool same = false;
if (this->sign == '-' && otherBigDecimal.sign == '+')
{
return true;
}
else if (this->sign == '+' && otherBigDecimal.sign == '-')
{
return false;
}
else if (this->sign == '+' && otherBigDecimal.sign == '+')
{
if (this->decStr.length() < otherBigDecimal.decStr.length())
{
return true;
}
else if (this->decStr.length() > otherBigDecimal.decStr.length())
{
return false;
}
else{
for (int i = 0; i < this->decStr.length(); i++)
{
if (this->decStr[i] < otherBigDecimal.decStr[i])
{
return true;
break;
}
else if (this->decStr[i] > otherBigDecimal.decStr[i])
{
return false;
break;
}
}
}
}
if (this->decStr.length() < otherBigDecimal.decStr.length())
{
return false;
}
else if (this->decStr.length() > otherBigDecimal.decStr.length())
{
return true;
}
for (int i = 0; i < this->decStr.length(); i++)
{
if (this->decStr[i] < otherBigDecimal.decStr[i])
{
return false;
}
else if (this->decStr[i] > otherBigDecimal.decStr[i])
{
return true;
}
else{
same = true;
}
}
if (same)
{
return false;
}
return true;
}
bool BigDecimalInt::operator==(BigNumber& other){
BigDecimalInt& otherBigDecimal = dynamic_cast<BigDecimalInt&>(other);
if (this->sign == otherBigDecimal.sign && this->decStr.length() == otherBigDecimal.decStr.length())
{
for (int i = 0; i < this->decStr.length(); i++)
{
if (this->decStr[i] != otherBigDecimal.decStr[i])
{
return false;
}
}
return true;
}
return false;
}