//Jordan Steffen
//Stej4019
//cs201-807
/*
purpose user enter three digits and base ...determine if they are all valid 
if no stop program, if yes continue to run
convert the base to base10 and display value
*/
#include <iostream>

using namespace std;


bool isDigit(char c);

int digit2Int(char c);

bool isValid(int d2, int d1, int d0, int base);

int base10(int d2, int d1, int d0, int base);

int main()
{
  //ask user for first digit

  char digit1;
  cout<<"Enter first Digit";
  cin>>digit1;

  //ask user for second digit

  char digit2;
  cout<<"Enter second digit";
  cin>>digit2;

  //ask user for third digit

  char digit3;
  cout<<"Enter third digit";
  cin>>digit3;

  //ask user for integer base

  int base;
  cout<<"Enter integer base";
  cin>>base;


if (isDigit(digit1))//tests digit1 against isDigit function
{
  cout<<digit1<<" is a valid digit"<<endl; //prints if digit1 is valid
  int int1 = digit2Int(digit1); //converts digit1 to int1 if it passes the test


  if (isDigit(digit2))//tests digit2 against isDigit function
  {
    cout<<digit2<<" is a valid digit"<<endl; //prints if digit2 is valid
    int int2 = digit2Int(digit2); //converts digit2 to int2 if it passes the test

    if (isDigit(digit3))//tests digit3 against isDigit function
    {
      cout<<digit3<<" is a valid digit"<<endl; //prints if digit3 is valid
      int int3 = digit2Int(digit3); //converts digit3 to int3 if it passes the test

    	if(base >= 2 && base <=10) //tests to see if base is between 2 and 10 inclusive
    	{
    		cout<<base<<" is a valid base"<<endl; //prints if the base is between 2 and 10 inclusive
		
    		
    		if(isValid(int1, int2, int3, base)) //uses int values of digits and checks to see if base is valid against isValid function
    		{
	    		cout<<'\n'<<'\n'<<"The number "<<int1<<int2<<int3<<" is valid in base "<<base<<"."<<endl; //prints if isValid returns true
    			
	    		cout<<'\n'<<'\n'<<int1<<int2<<int3<<"(base "<<base<<") = "<<base10(int1, int2, int3, base) <<" (base 10)."<<endl; //converts base to base 10 with base10 function and prints the result
	    		
	    		}
    		else
    		{
	    		cout<<'\n'<<'\n'<<"The number "<<int1<<int2<<int3<<" is not valid in base "<<base<<"."<<endl; //prints if isValid returns false
    		}
    		    		
    	}
    	else
    	{
	    	cout<<base<<" is not a valid base"<<endl; //prints if the base is not between 2 and 10 inclusive
    	}
	}
    else
    {
    cout<<digit3<<" is not a valid digit"<<endl; //prints if digit3 is invalid
  }
}
  else
  {
    cout<<digit2<<" is not a valid digit"<<endl; //prints if digit2 is invalid
  }

}
else
{
  cout<<digit1<<" is not a valid digit"<<endl; //prints if digit1 is invalid
}


  return 0;
}

//runs a boolean logic test to see if the user entered char is a digit 0 - 9

bool isDigit(char c)
{
        if (c >='0' && c <='9')

{
        return true;
}

        else
{
        return false;
}
}

//converts given char to int type for calculations at the time it's called

int digit2Int(char c)
{
        return (c-'0');
}

//tests if base is strictly larger than the other three inputs

bool isValid(int d2, int d1, int d0, int base)
{
        if(base > d0 && base > d1 && base > d2)
  {
          return true;
  }
        else
  {
          return false;
  }

}

//return base 10 equivalent of number defined by: d2, d1, d0 and base

int base10(int d2, int d1, int d0, int base)

{
return(d2 * base * base + d1 * base + d0);
}