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derivative.cpp
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#include "header.h";
using namespace std;
int alg=0;
int remove_sign=0;
char total_sign='\0';
char universal_sign='\0';
void algebraic()
{
alg++;
}
void algebraic_null()
{
alg = 0;
}
void null_universe()
{
universal_sign = '\0';
}
string derivative(char variable,int pow,int coeffi,char sign)
{
string ans3 ="";
if(alg>0)
algebraic();
if(coeffi == 1323 )
{
if(alg>0)
cout<<variable<<" *0 ) "<<sign<<" ( ";
return ans3;
}
if(coeffi == 1322 )
{
if(alg>0)
cout<<total_sign<<" ( "<<variable<<" *0";
return ans3;
}
if(coeffi == 1321) return "";
else if(coeffi == 1324)
{
ans3 += " 0 ";
if(alg>0)
cout<<variable<<" *0";
return ans3;
}
int main_coeffi = coeffi*pow;
int main_pow = (pow-1);
if(total_sign == '+' || total_sign == '-')
{
if(main_coeffi>0)
{
ans3+= total_sign;
if(alg>0)
cout<<" "<<total_sign<<" (";
}
else if( main_coeffi < 0 && main_pow != 0)
{
if(remove_sign== 0)
{
remove_sign++;
if(total_sign=='+')
{
ans3+="-";
if(alg>0)
cout<<" - (";
}
}
else
{
if(total_sign == '+')
{
ans3 += "-";
if(alg>0)
cout<<" + ( ";
}
else if(main_pow<0 && total_sign == '-')
{
ans3+="+";
if(alg>0) cout<<" - (";
}
else
{
ans3+="-";
if(alg>0)
cout<<" + ( " ;
}
}
}
else if(main_pow ==0 || main_pow ==1)
{
ans3 += total_sign ;
if(alg>0)
cout<<" "<<total_sign<<" ( ";
}
if(main_coeffi != 1 && main_coeffi != -1)
{
ans3+= n_to_s(abs(main_coeffi));
if(alg>0)
cout<<coeffi<<"*"<<pow;
}
if(main_coeffi == 1 && main_pow == 0)
{
ans3+="1";
if(alg>0)
cout<<"1";
}
if(main_coeffi== -1 && main_pow == 0)
{
ans3 += "1";
if(alg>0)
cout<<"1";
}
}
else
{
if(main_coeffi != 1)
{
if(main_coeffi<0)
{
ans3 +="-";
ans3 +=n_to_s(abs(main_coeffi));
if(alg>0)
cout<<coeffi<<"*"<<pow;
}
else
{
ans3 += n_to_s(main_coeffi);
if(alg>0)
cout<<coeffi<<"*"<<pow;
}
}
if(main_coeffi == 1 && main_pow == 0)
{
ans3+= "1";
if(alg>0)
cout<<"1";
}
}
if(main_pow != 0)
{
ans3+="*";
if(alg>0)
cout<<")*";
ans3+= variable;
if(alg>0)
cout<<variable;
}
if(main_pow != 1 && main_pow != 0)
{
ans3+= "^";
if(alg>0)
cout<<"^";
if(main_pow<0)
{
ans3 +="-";
if(alg>0)
cout<<"(";
ans3+=n_to_s(abs(main_pow));
if(alg>0)
cout<<pow<<"-1";
}
else
{
ans3+=n_to_s(main_pow);
if(alg>0)
cout<<"("<<pow<<"-1";
}
}
else
{
if(main_pow==1)
{
if(alg>0)
cout<<"^";
if(alg>0)
cout<<"("<<pow<<"-1";
}
else
{
if(alg>0)
cout<<")*";
if(alg>0)
cout<<variable;
if(alg>0)
cout<<"^";
if(alg>0)
cout<<"("<<pow<<"-1";
}
}
total_sign=sign;
remove_sign++;
return ans3;
}