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BigFloat.cpp
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BigFloat.cpp
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/*
* BigFloat - Arbitrary-Precision Float Arithmetic Library
* Copyright (C) 2015 Gianfranco Mariotti
*/
#include "BigFloat.h"
//------------------------Private Methods--------------------------------
//Comparator without sign, utilized by Comparators and Operations
int BigFloat::CompareNum(const BigFloat& left, const BigFloat& right)
{
if( (left.number.size() - left.decimals) > (right.number.size() - right.decimals) )
return 1;
else if( (left.number.size() - left.decimals) < (right.number.size() - right.decimals) )
return 2;
if(left.decimals>right.decimals)
{
BigFloat tmp;
tmp=right;
while (left.decimals>tmp.decimals)
{
tmp.decimals++;
tmp.number.push_front('0');
}
for (int i= left.number.size() - 1 ; i>=0; i--)
{
if(left.number[i]>tmp.number[i])
return 1;
else if(left.number[i]<tmp.number[i])
return 2;
}
return 0;
}
else if(left.decimals<right.decimals)
{
BigFloat tmp;
tmp=left;
while (tmp.decimals<right.decimals)
{
tmp.decimals++;
tmp.number.push_front('0');
}
for (int i= tmp.number.size() - 1 ; i>=0; i--)
{
if(tmp.number[i]>right.number[i])
return 1;
else if(tmp.number[i]<right.number[i])
return 2;
}
return 0;
}
else
{
for (int i = left.number.size() - 1 ; i >= 0; i--)
{
if(left.number[i] > right.number[i])
return 1;
else if(left.number[i] < right.number[i])
return 2;
}
return 0;
}
};
//Operations without sign and decimals, utilized by Operations
BigFloat BigFloat::Sum(const BigFloat& left, const BigFloat& right)
{
BigFloat tmp;
int carry=0;
int loopsize = (left.number.size()>right.number.size()) ? left.number.size() : right.number.size();
for (int i=0; i<loopsize; ++i)
{
int val1, val2;
val1 = ( i > left.number.size() -1) ? 0 : CharToInt(left.number[i]);
val2 = ( i > right.number.size() -1 ) ? 0 : CharToInt(right.number[i]);
int aus= val1+val2+carry;
carry=0;
if(aus>9)
{
carry = 1;
aus = aus-10;
}
tmp.number.push_back(IntToChar(aus));
}
if(carry!=0)
tmp.number.push_back(IntToChar(carry));
return tmp;
};
BigFloat BigFloat::Subtract(const BigFloat& left, const BigFloat& right)
{
BigFloat tmp;
int carry=0;
int aus;
for (int i=0; i<left.number.size(); ++i)
{
int val1, val2;
val1 = CharToInt(left.number[i]);
val2 = ( i > right.number.size() -1 ) ? 0 : CharToInt(right.number[i]);
val1 -= carry;
if(val1<val2)
{
aus= 10 + val1 - val2;
carry = 1;
}
else
{
aus = val1 - val2;
carry = 0;
}
tmp.number.push_back(IntToChar(aus));
}
return tmp;
};
BigFloat BigFloat::Multiply(const BigFloat& left, const BigFloat& right)
{
BigFloat ris;
BigFloat tmp;
ris.number.push_back('0');
int carry=0;
for (int i=0; i<right.number.size(); ++i)
{
for (int k=0; k<i ; ++k)
{
tmp.number.push_front('0');
}
for (int j=0; j<left.number.size() ; ++j)
{
int aus= CharToInt(right.number[i]) * CharToInt(left.number[j]) + carry;
carry=0;
if(aus>9)
{
while(aus>9)
{
carry++;
aus-=10;
}
}
tmp.number.push_back(IntToChar(aus));
}
if(carry!=0)
tmp.number.push_back(IntToChar(carry));
carry=0;
ris= Sum(ris,tmp);
tmp.number.clear();
}
return ris;
};
//------------------------Public Methods--------------------------------
//Assignment operators
BigFloat& BigFloat::operator=(const char* strNum)
{
number.clear();
decimals=0;
sign='\0';
error=0;
int count=0;
if(strNum[count]=='+')
{
sign='+';
count++;
}
else if(strNum[count]=='-')
{
sign='-';
count++;
}
else if(isdigit(strNum[count]))
sign='+';
else
{
error=1;
error_code="Unset";
return *this;
}
bool start_dec = false;
while(strNum[count]!='\0')
{
if(!start_dec)
if(strNum[count]=='.')
{
if(number.empty())
{
sign='\0';
error=1;
error_code="Unset";
return *this;
}
start_dec = true;
count++;
}
if(isdigit(strNum[count]))
{
number.push_front(strNum[count]);
count++;
if(start_dec)
decimals++;
}
else
{
sign='\0';
number.clear();
decimals=0;
error=1;
error_code="Unset";
return *this;
}
}
this->LeadTrim();
return *this;
};
BigFloat& BigFloat::operator=(std::string strNum)
{
*this = strNum.c_str();
return *this;
};
BigFloat& BigFloat::operator=(int Num)
{
*this = std::to_string(Num);
return *this;
};
BigFloat& BigFloat::operator=(double Num)
{
*this = std::to_string(Num);
return *this;
};
//Operations
BigFloat operator+ ( const BigFloat& left_, const BigFloat& right_ )
{
BigFloat tmp;
if( (left_.error) || (right_.error) )
{
return tmp;
}
BigFloat left,right;
left=left_;
right=right_;
if(left.decimals>right.decimals)
while(left.decimals>right.decimals)
{
right.decimals++;
right.number.push_front('0');
}
else if (left.decimals<right.decimals)
while(left.decimals<right.decimals)
{
left.decimals++;
left.number.push_front('0');
}
if( (left.sign=='+')&& (right.sign=='-'))
{
int check= BigFloat::CompareNum(left,right);
if(check==0)
{
tmp = 0;
return tmp;
}
if(check==1)
{
tmp=BigFloat::Subtract(left,right);
tmp.sign='+';
tmp.decimals=left.decimals;
tmp.LeadTrim();
tmp.error=0;
return tmp;
}
if(check==2)
{
tmp=BigFloat::Subtract(right,left);
tmp.sign='-';
tmp.decimals=left.decimals;
tmp.LeadTrim();
tmp.error=0;
return tmp;
}
}
if( (left.sign=='-')&& (right.sign=='+'))
{
int check= BigFloat::CompareNum(left,right);
if(check==0)
{
tmp = 0;
return tmp;
}
if(check==1)
{
tmp=BigFloat::Subtract(left,right);
tmp.sign='-';
tmp.decimals=left.decimals;
tmp.LeadTrim();
tmp.error=0;
return tmp;
}
if(check==2)
{
tmp=BigFloat::Subtract(right,left);
tmp.sign='+';
tmp.decimals=left.decimals;
tmp.LeadTrim();
tmp.error=0;
return tmp;
}
}
if( (left.sign=='+')&& (right.sign=='+'))
{
tmp=BigFloat::Sum(left,right);
tmp.sign='+';
tmp.decimals=left.decimals;
tmp.error=0;
return tmp;
}
if( (left.sign=='-')&& (right.sign=='-'))
{
tmp=BigFloat::Sum(left,right);
tmp.sign='-';
tmp.decimals=left.decimals;
tmp.error=0;
return tmp;
}
};
BigFloat operator+(const BigFloat& left, const int& int_right)
{
BigFloat right;
right = int_right;
return left + right;
};
BigFloat operator+(const BigFloat& left, const double& double_right)
{
BigFloat right;
right = double_right;
return left + right;
};
BigFloat operator- ( const BigFloat& left_, const BigFloat& right_ )
{
BigFloat tmp;
if( (left_.error) || (right_.error) )
{
return tmp;
}
BigFloat left,right;
left=left_;
right=right_;
if(left.decimals>right.decimals)
while(left.decimals>right.decimals)
{
right.decimals++;
right.number.push_front('0');
}
else if (left.decimals<right.decimals)
while(left.decimals<right.decimals)
{
left.decimals++;
left.number.push_front('0');
}
if( (left.sign=='+')&& (right.sign=='-'))
{
tmp=BigFloat::Sum(left,right);
tmp.sign='+';
tmp.decimals=left.decimals;
tmp.error=0;
return tmp;
}
if( (left.sign=='-')&& (right.sign=='+'))
{
tmp=BigFloat::Sum(left,right);
tmp.sign='-';
tmp.decimals=left.decimals;
tmp.error=0;
return tmp;
}
if( (left.sign=='+')&& (right.sign=='+'))
{
int check= BigFloat::CompareNum(left,right);
if(check==0)
{
tmp=0;
return tmp;
}
if(check==1)
{
tmp=BigFloat::Subtract(left,right);
tmp.sign='+';
tmp.decimals=left.decimals;
tmp.LeadTrim();
tmp.error=0;
return tmp;
}
if(check==2)
{
tmp=BigFloat::Subtract(right,left);
tmp.sign='-';
tmp.decimals=left.decimals;
tmp.LeadTrim();
tmp.error=0;
return tmp;
}
}
if( (left.sign=='-')&& (right.sign=='-'))
{
int check= BigFloat::CompareNum(left,right);
if(check==0)
{
tmp = 0;
return tmp;
}
if(check==1)
{
tmp=BigFloat::Subtract(left,right);
tmp.sign='-';
tmp.decimals=left.decimals;
tmp.LeadTrim();
tmp.error=0;
return tmp;
}
if(check==2)
{
tmp=BigFloat::Subtract(right,left);
tmp.sign='+';
tmp.decimals=left.decimals;
tmp.LeadTrim();
tmp.error=0;
return tmp;
}
}
};
BigFloat operator-(const BigFloat& left, const int& int_right)
{
BigFloat right;
right = int_right;
return left - right;
};
BigFloat operator-(const BigFloat& left, const double& double_right)
{
BigFloat right;
right = double_right;
return left - right;
};
BigFloat operator*(const BigFloat& left, const BigFloat& right)
{
BigFloat tmp;
if( (left.error) || (right.error) )
{
return tmp;
}
tmp=BigFloat::Multiply(left,right);
if( ((left.sign=='-')&& (right.sign=='-')) || ((left.sign=='+')&& (right.sign=='+')) )
tmp.sign='+';
else
tmp.sign='-';
tmp.decimals=left.decimals+right.decimals;
tmp.error=0;
tmp.LeadTrim();
return tmp;
};
BigFloat operator*(const BigFloat& left, const int& int_right)
{
BigFloat right;
right = int_right;
return left * right;
};
BigFloat operator*(const BigFloat& left, const double& double_right)
{
BigFloat right;
right = double_right;
return left * right;
};
BigFloat operator/(const BigFloat& left, const BigFloat& right)
{
BigFloat tmp;
if( (left.error) || (right.error) )
{
return tmp;
}
BigFloat Q , R , D , N, zero ;
zero = 0;
if (right == zero)
{
tmp.error_code="Division For 0";
return tmp;
}
N= ( left>zero ) ? (left) : (left * (-1));
D= ( right>zero ) ? (right) : (right* (-1));
R.sign='+';
R.error=0;
while( (N.decimals!=0) || (D.decimals!=0) )
{
if(N.decimals==0)
N.number.push_front('0');
else
N.decimals--;
if(D.decimals==0)
D.number.push_front('0');
else
D.decimals--;
}
N.LeadTrim();
D.LeadTrim();
//Increase Precision to highest decimal quote
int div_precision = (left.decimals>right.decimals) ? (left.decimals) : (right.decimals) ;
for (int i=0; i < div_precision ; i++)
N.number.push_front('0');
int check = BigFloat::CompareNum(N,D);
if(check==0)
{
tmp.number.push_front('1');
}
if(check==2)
{
return zero;
}
else
{
while(!N.number.empty())
{
R.number.push_front(*(N.number.rbegin()));
N.number.pop_back();
bool is_zero=true;
std::deque<char>::const_iterator zero_iter = R.number.begin();
for(;zero_iter!= R.number.end();++zero_iter)
if(*zero_iter!='0')
is_zero=false;
if((R>=D) && (!is_zero))
{
int Q_sub=0;
int min=0;
int max = 9;
while( R >= D)
{
int avg = max-min;
int mod_avg = avg / 2;
avg= (avg - mod_avg * 2) ? (mod_avg + 1) : (mod_avg);
int div_check = BigFloat::CompareNum ( R, D*avg );
if (div_check == 2)
{
max = avg;
}
else
{
Q_sub = Q_sub + avg;
R = R - D * avg;
max = 9;
}
}
Q.number.push_front(BigFloat::IntToChar(Q_sub));
bool is_zero=true;
std::deque<char>::const_iterator zero_iter = R.number.begin();
for(;zero_iter!= R.number.end();++zero_iter)
if(*zero_iter!='0')
is_zero=false;
if(is_zero)
R.number.clear();
}
else
{
Q.number.push_front('0');
}
}
tmp = Q;
}
if( ((left.sign=='-')&& (right.sign=='-')) || ((left.sign=='+')&& (right.sign=='+')) )
tmp.sign='+';
else
tmp.sign='-';
tmp.decimals = div_precision;
tmp.error=0;
tmp.LeadTrim();
return tmp;
};
BigFloat operator/(const BigFloat& left, const int& int_right)
{
BigFloat right;
right = int_right;
return left / right;
};
BigFloat operator/(const BigFloat& left, const double& double_right)
{
BigFloat right;
right = double_right;
return left / right;
};
BigFloat BigFloat::PrecDiv(const BigFloat& left, const BigFloat& right,int div_precision)
{
BigFloat tmp;
BigFloat Q , R , D , N, zero ;
zero = 0;
if (right == zero)
{
tmp.error_code="Division For 0";
return tmp;
}
N= ( left>zero ) ? (left) : (left * (-1));
D= ( right>zero ) ? (right) : (right* (-1));
R.sign='+';
R.error=0;
while( (N.decimals!=0) || (D.decimals!=0) )
{
if(N.decimals==0)
N.number.push_front('0');
else
N.decimals--;
if(D.decimals==0)
D.number.push_front('0');
else
D.decimals--;
}
N.LeadTrim();
D.LeadTrim();
//Increase Precision to div_precision
for (int i=0; i < div_precision ; i++)
N.number.push_front('0');
int check= BigFloat::CompareNum(N,D);
if(check==0)
{
tmp.number.push_front('1');
}
if(check==2)
{
return zero;
}
else
{
while(!N.number.empty())
{
R.number.push_front(*(N.number.rbegin()));
N.number.pop_back();
bool is_zero=true;
std::deque<char>::const_iterator zero_iter = R.number.begin();
for(;zero_iter!= R.number.end();++zero_iter)
if(*zero_iter!='0')
is_zero=false;
if((R>=D) && (!is_zero))
{
int Q_sub=0;
int min=0;
int max = 9;
while( R >= D)
{
int avg = max-min;
int mod_avg = avg / 2;
avg= (avg - mod_avg * 2) ? (mod_avg + 1) : (mod_avg);
int div_check = BigFloat::CompareNum ( R, D*avg );
if (div_check == 2)
{
max = avg;
}
else
{
Q_sub = Q_sub + avg;
R = R - D * avg;
max = 9;
}
}
Q.number.push_front(BigFloat::IntToChar(Q_sub));
bool is_zero=true;
std::deque<char>::const_iterator zero_iter = R.number.begin();
for(;zero_iter!= R.number.end();++zero_iter)
if(*zero_iter!='0')
is_zero=false;
if(is_zero)
R.number.clear();
}
else
{
Q.number.push_front('0');
}
}
tmp = Q;
}
if( ((left.sign=='-')&& (right.sign=='-')) || ((left.sign=='+')&& (right.sign=='+')) )
tmp.sign='+';
else
tmp.sign='-';
tmp.decimals = div_precision;
tmp.error=0;
tmp.LeadTrim();
return tmp;
};
BigFloat BigFloat::PrecDiv(const BigFloat& left, const int& int_right,int div_precision)
{
BigFloat right;
right = int_right;
return BigFloat::PrecDiv(left,right,div_precision);
};
BigFloat BigFloat::PrecDiv(const BigFloat& left, const double& double_right,int div_precision)
{
BigFloat right;
right = double_right;
return BigFloat::PrecDiv(left,right,div_precision);
};
BigFloat operator%(const BigFloat& left, const BigFloat& right)
{
BigFloat tmp;
if( (left.error) || (right.error) )
{
return tmp;
}
if( (left.decimals!=0) || (right.decimals!=0) )
{
tmp.error_code="Modulus Between Non Integers";
return tmp;
}
BigFloat Q , R , D , N, zero, ret;
zero = 0;
if (right == zero)
{
tmp.error_code="Modulus For 0";
return tmp;
}
N= ( left>zero ) ? (left) : (left * (-1)) ;
D= ( right>zero ) ? (right) : (right* (-1)) ;
R.sign='+';
R.error=0;
int check= BigFloat::CompareNum(N,D);
if(check==0)
{
return zero;
}
if(check==2)
{
return left;
}
else
{
while(!N.number.empty())
{
R.number.push_front(*(N.number.rbegin()));
N.number.pop_back();
bool is_zero=true;
std::deque<char>::const_iterator zero_iter = R.number.begin();
for(;zero_iter!= R.number.end();++zero_iter)
if(*zero_iter!='0')
is_zero=false;
if((R>=D) && (!is_zero))
{
int Q_sub=0;
int min=0;
int max = 9;
while( R >= D)
{
int avg = max-min;
int mod_avg = avg / 2;
avg= (avg - mod_avg * 2) ? (mod_avg + 1) : (mod_avg);
int div_check = BigFloat::CompareNum ( R, D*avg );
if (div_check == 2)
{
max = avg;
}
else
{
Q_sub = Q_sub + avg;
R = R - D * avg;
max = 9;
}
}
Q.number.push_front(BigFloat::IntToChar(Q_sub));
ret = R;
bool is_zero=true;
std::deque<char>::const_iterator zero_iter = R.number.begin();
for(;zero_iter!= R.number.end();++zero_iter)
if(*zero_iter!='0')
is_zero=false;
if(is_zero)
R.number.clear();
}
else
{
ret = R;
Q.number.push_front('0');
}
}
Q.LeadTrim();
ret.LeadTrim();
tmp = ret;
}
if( ((left.sign=='-')&& (right.sign=='-')) || ((left.sign=='+')&& (right.sign=='+')) )
tmp.sign='+';
else
tmp.sign='-';
if(!BigFloat::CompareNum(tmp,zero))
tmp.sign='+';
tmp.error=0;
return tmp;
};
BigFloat operator%(const BigFloat& left, const int& int_right)
{
BigFloat right;
right = int_right;
return left % right;
};
//Comparators
bool BigFloat::operator== (const BigFloat& right) const
{
if( (error) || (right.error) )
return false;
int check = CompareNum(*this,right);
if ((check == 0)&&(sign==right.sign))
return true;
return false;
};
bool BigFloat::operator== (const int& int_right) const
{
BigFloat right(int_right);
return *this==right;
};
bool BigFloat::operator== (const double& double_right) const
{
BigFloat right(double_right);
return *this==right;
};
bool BigFloat::operator!= (const BigFloat& right) const
{
if( (error) || (right.error) )
return false;
return !(*this==right);
};
bool BigFloat::operator!= (const int& int_right) const
{
BigFloat right(int_right);
return *this!=right;
};
bool BigFloat::operator!= (const double& double_right) const
{
BigFloat right(double_right);
return *this!=right;
};
bool BigFloat::operator> (const BigFloat& right) const
{
if( (error) || (right.error) )
return false;
if( ((sign=='+')&& (right.sign=='+')) )
{
int check = CompareNum(*this,right);
if (check == 1)
return true;
return false;
}
if( ((sign=='-')&& (right.sign=='-')) )
{
int check = CompareNum(*this,right);
if (check == 2)
return true;
return false;
}
if( ((sign=='-')&& (right.sign=='+')) )
return false;
if( ((sign=='+')&& (right.sign=='-')) )
return true;
};
bool BigFloat::operator> (const int& int_right) const
{
BigFloat right(int_right);
return *this>right;
};
bool BigFloat::operator> (const double& double_right) const
{
BigFloat right(double_right);
return *this>right;
};
bool BigFloat::operator>= (const BigFloat& right) const
{
if( (error) || (right.error) )
return false;
return !(*this < right);
};
bool BigFloat::operator>= (const int& int_right) const