// Zeinalipour-Yazti Demetrios
// csyiazti
// cs10xx -
// Lab Sec#24
// lab6
	/*	Triangle Calculations
	 *	This  program finds the missing information of a right triangle many times.	   
	 *	A) Input: length of side X, angle A1
	 *	B) Restrictions: inputs must be positive
	 *	C) Output: side Y, hypotenuse Z, Angle A2.
	 *	D) Pythagorean Theorem.==> 
	 *     Z^2 = X^2 + Y^2
   	 *
	 */
#include <iostream.h>
#include <math.h>

#define PI 3.14159265


/* This function asks the user to input the value: valuename[] repetively until a
 * correct (>0) value is given. It then returns this value
 */
double getValue(char valuename[])
{    /* defining local scope variables*/
     double value;

     /*  Getting the value */
     while (true) //start while1a
     {
    	  cout << "\nPlease type in the (positive) \"" << valuename << "\" : ";
    	  cin >> value;
    	  if (value>0)
    		{ break; }
    	  else
    	  	{ cout << "Error# - The value you entered is not a positive integer: " << endl; }
     }	//end while1a
     return value;
}



/* This function calculates the other angle 
 */
double calculateAngle(double angle1)
{
     return (90-angle1);
}

 
/* This function calculates the the other leg of the right triangle, using
 * the Pythagorean Theorem.
 */
double calculateY(double x, double angle1)
{
     return ( tan(angle1*PI/180) * x);
}



/* This function calculates the length of the hypotenuse with the 
 * Pythagorean Theorem.
 */
double calculateZ(double x, double y)
{
    double z = sqrt(x*x + y*y);
	return z; 

}



/* This procedure outputs all the values related to the right triangle
 */
void printOut(double a1, double a2, double x, double y, double z)
{
	cout << "Angle 1: " << a1 << endl
		 << "Angle 2: " << a2 << endl

		 << "Length of X: " << x << endl
		 << "Length of Y: " << y << endl
    	 << "Length of Z: " << z << endl;
}


/* This procedure outputs graphically the triangle.
 */
void printTriangle(double x,double y)
{
	double items_per_row = y / x;

	for (int i=0; i<x; i++)
	{ 
	  for (int j=0; j<items_per_row*(i+1); j++)
		{
		   cout << "*"; 
		}
		cout << endl;
	}
}



void main()
{
	/* define variables */
	double x;					 /* The length of side x */ 
	double y;		 			 /* The length of side y */
	double z;		 			 /* The length of side z */
	double a1;					 /* The angle a1 	 */
	double a2;					 /* The angle a2 	 */
	
	/* define functions & procedures*/
	double getValue(char valuename[]);
	double calculateAngle(double angle1);
	double calculateY(double x, double angle1);
	double calculateZ(double x, double y);
	void printOut(double a1, double a2, double x, double y, double z);
	void printTriangle(double x,double y);	
	
	/* get Values from user  */	
	a1 = getValue("Angle A1");
  	x  = getValue("Length of side X");		  

	/* Calculating the other angle */
	a2 = calculateAngle(a1);		  
	
	/* Calculating the other leg */		  		  
	y = calculateY(x, a1);
	
	/* Calculating the hypotenuse */
	z = calculateZ(x, y);		  		 
	
        /* Printing out the result */
	printOut(a1, a2, x, y, z);
	
	/* Printing out the triangle (graphic) */
	printTriangle(x,y);
		  

}