#include <iostream>
using namespace std;


enum color_sys { rgb=0, hsv, html };

struct color {
  float r, g, b;
  float h, s, v;
  int hr, hg, hb;
};

//////////////////////////// Prototypes ////////////////////////
void print_menu(int &in, int &out);
void input_color(color &c, int in);
void output_color(color &c, int out);
void perform_conversion(int in, int out, color &c);
void html2rgb(color &c);
void hsv2rgb(color &c);
void rgb2hsv(color &c);
void rgb2html(color &c);

int main()
{
  color c;
  int in, out;

  print_menu(in, out);
  input_color(c, in);
  perform_conversion(in, out, c);
  output_color(c, out);
  return 0;
}

//////////////// Input - Output Operations //////////////////////

// Function that prints out the options and inputs the parameters
void print_menu(int &in, int &out)
{
  cout << "Select the input format:" << endl
       << "0 - RGB " << endl
       << "1 - HSV " << endl
       << "2 - HTML" << endl;
  cin >> in;

  cout << "Select the output format:" << endl
       << "0 - RGB " << endl
       << "1 - HSV " << endl
       << "2 - HTML" << endl;
  cin >> out;
}

void input_color(color &c, int in)
{
  // To be implemented by the student
}

void output_color(color &c, int out)
{
  // To be implemented by the student
}

// Function that performs the appropriate conversions.
void perform_conversion(int in, int out, color &c)
{
  if (in == html)
    html2rgb(c);
  else if (in == hsv)
    hsv2rgb(c);
  if (out == hsv)
    rgb2hsv(c);
  else if (out == html)
    rgb2html(c);
}

///////////// Conversion Functions ///////////////////

void html2rgb(color &c)
{
  // To be implemented by the student
}

float max(float a, float b, float c)
{
  if (a >= b && a >= c) 
    return a;
  else if (b >= a && b >= c)
    return b;
  else
    return c;
}

float min(float a, float b, float c)
{
  if (a <= b && a <= c) 
    return a;
  else if (b <= a && b <= c)
    return b;
  else
    return c;
}

void hsv2rgb(color &c)
{
  // To be implemented by the student
}

void rgb2hsv(color &c)
{
  if (c.r == c.g && c.g == c.b) { // shade of gray
    c.h = 0; // default - could be anything;
    c.s = 0; // no saturation
    c.v = c.r;
  }
  c.v = max(c.r, c.g, c.b);
  float mn = min(c.r, c.g, c.b), md = c.r+c.g+c.b-c.v-mn; //median value
  c.s = 1-mn/c.v;
  float offset = (md - mn) * 60 /(c.v - mn);
  if (c.r >= c.g && c.r >= c.b) { // dominant red
    if (c.g >= c.b)               // subdominant green
      c.h = 0 + offset;
    else                          // subdominant blue
      c.h = 360 - offset;
  }
  // To be finished by the student
}

void rgb2html(color &c)
{
  c.hr = int(c.r * 255);
  c.hg = int(c.g * 255);
  c.hb = int(c.b * 255);
}