Added files

1 files changed, 712 insertions, 0 deletions

diff --git a/src/uiDraw.cpp b/src/uiDraw.cpp
new file mode 100644
index 0000000..759717c
--- /dev/null
+++ b/src/uiDraw.cpp
@@ -0,0 +1,712 @@
+/***********************************************************************
+ * Source File:
+ *    User Interface Draw : put pixels on the screen
+ * Author:
+ *    Br. Helfrich
+ * Summary:
+ *    This is the code necessary to draw on the screen. We have a collection
+ *    of procedural functions here because each draw function does not
+ *    retain state. In other words, they are verbs (functions), not nouns
+ *    (variables) or a mixture (objects)
+ ************************************************************************/
+
+#include <string>     // need you ask?
+#include <sstream>    // convert an integer into text
+#include <cassert>    // I feel the need... the need for asserts
+#include <time.h>     // for clock
+
+
+#ifdef __APPLE__
+#include <openGL/gl.h>    // Main OpenGL library
+#include <GLUT/glut.h>    // Second OpenGL library
+#endif // __APPLE__
+
+#ifdef __linux__
+#include <GL/gl.h>        // Main OpenGL library
+#include <GL/glut.h>      // Second OpenGL library
+#endif // __linux__
+
+#ifdef _WIN32
+#include <stdio.h>
+#include <stdlib.h>
+#include <GL/glut.h>         // OpenGL library we copied 
+#define _USE_MATH_DEFINES
+#include <math.h>
+#endif // _WIN32
+
+#include "point.h"
+#include "uiDraw.h"
+
+using namespace std;
+
+#define deg2rad(value) ((M_PI / 180) * (value))
+
+/*********************************************
+ * NUMBER OUTLINES
+ * We are drawing the text for score and things
+ * like that by hand to make it look "old school."
+ * These are how we render each individual charactger.
+ * Note how -1 indicates "done".  These are paired
+ * coordinates where the even are the x and the odd
+ * are the y and every 2 pairs represents a point
+ ********************************************/
+const char NUMBER_OUTLINES[10][20] =
+{
+  {0, 0,  7, 0,   7, 0,  7,10,   7,10,  0,10,   0,10,  0, 0,  -1,-1, -1,-1},//0
+  {7, 0,  7,10,  -1,-1, -1,-1,  -1,-1, -1,-1,  -1,-1, -1,-1,  -1,-1, -1,-1},//1
+  {0, 0,  7, 0,   7, 0,  7, 5,   7, 5,  0, 5,   0, 5,  0,10,   0,10,  7,10},//2
+  {0, 0,  7, 0,   7, 0,  7,10,   7,10,  0,10,   4, 5,  7, 5,  -1,-1, -1,-1},//3
+  {0, 0,  0, 5,   0, 5,  7, 5,   7, 0,  7,10,  -1,-1, -1,-1,  -1,-1, -1,-1},//4
+  {7, 0,  0, 0,   0, 0,  0, 5,   0, 5,  7, 5,   7, 5,  7,10,   7,10,  0,10},//5
+  {7, 0,  0, 0,   0, 0,  0,10,   0,10,  7,10,   7,10,  7, 5,   7, 5,  0, 5},//6
+  {0, 0,  7, 0,   7, 0,  7,10,  -1,-1, -1,-1,  -1,-1, -1,-1,  -1,-1, -1,-1},//7
+  {0, 0,  7, 0,   0, 5,  7, 5,   0,10,  7,10,   0, 0,  0,10,   7, 0,  7,10},//8
+  {0, 0,  7, 0,   7, 0,  7,10,   0, 0,  0, 5,   0, 5,  7, 5,  -1,-1, -1,-1} //9
+};
+
+/************************************************************************
+ * DRAW DIGIT
+ * Draw a single digit in the old school line drawing style.  The
+ * size of the glyph is 8x11 or x+(0..7), y+(0..10)
+ *   INPUT  topLeft   The top left corner of the character
+ *          digit     The digit we are rendering: '0' .. '9'
+ *************************************************************************/
+void drawDigit(const Point & topLeft, char digit)
+{
+   // we better be only drawing digits
+   assert(isdigit(digit));
+   if (!isdigit(digit))
+      return;
+
+   // compute the row as specified by the digit
+   int r = digit - '0';
+   assert(r >= 0 && r <= 9);
+
+   // go through each segment.
+   for (int c = 0; c < 20 && NUMBER_OUTLINES[r][c] != -1; c += 4)
+   {
+      assert(NUMBER_OUTLINES[r][c    ] != -1 &&
+             NUMBER_OUTLINES[r][c + 1] != -1 &&
+             NUMBER_OUTLINES[r][c + 2] != -1 &&
+             NUMBER_OUTLINES[r][c + 3] != -1);
+
+      //Draw a line based off of the num structure for each number
+      Point start;
+      start.setX(topLeft.getX() + NUMBER_OUTLINES[r][c]);
+      start.setY(topLeft.getY() - NUMBER_OUTLINES[r][c + 1]);
+      Point end;
+      end.setX(topLeft.getX() + NUMBER_OUTLINES[r][c + 2]);
+      end.setY(topLeft.getY() - NUMBER_OUTLINES[r][c + 3]);
+         
+      drawLine(start, end);
+   }
+}
+
+/*************************************************************************
+ * DRAW NUMBER
+ * Display an integer on the screen using the 7-segment method
+ *   INPUT  topLeft   The top left corner of the character
+ *          digit     The digit we are rendering: '0' .. '9'
+ *************************************************************************/
+void drawNumber(const Point & topLeft, int number)
+{
+   // our cursor, if you will. It will advance as we output digits
+   Point point = topLeft;
+   
+   // is this negative
+   bool isNegative = (number < 0);
+   number *= (isNegative ? -1 : 1);
+   
+   // render the number as text
+   ostringstream sout;
+   sout << number;
+   string text = sout.str();
+
+   // handle the negative
+   if (isNegative)
+   {
+      glBegin(GL_LINES);
+      glVertex2f(point.getX() + 1, point.getY() - 5);
+      glVertex2f(point.getX() + 5, point.getY() - 5);
+      glEnd();
+      point.addX(11);
+   }
+   
+   // walk through the text one digit at a time
+   for (const char *p = text.c_str(); *p; p++)
+   {
+      assert(isdigit(*p));
+      drawDigit(point, *p);
+      point.addX(11);
+   }
+}
+
+
+/*************************************************************************
+ * DRAW TEXT
+ * Draw text using a simple bitmap font
+ *   INPUT  topLeft   The top left corner of the text
+ *          text      The text to be displayed
+ ************************************************************************/
+void drawText(const Point & topLeft, const char * text)
+{
+   void *pFont = GLUT_BITMAP_HELVETICA_12;  // also try _18
+
+   // prepare to draw the text from the top-left corner
+   glRasterPos2f(topLeft.getX(), topLeft.getY());
+
+   // loop through the text
+   for (const char *p = text; *p; p++)
+      glutBitmapCharacter(pFont, *p);
+}
+
+/************************************************************************
+ * DRAW POLYGON
+ * Draw a POLYGON from a given location (center) of a given size (radius).
+ *  INPUT   center   Center of the polygon
+ *          radius   Size of the polygon
+ *          points   How many points will we draw it.  Larger the number,
+ *                   the more line segments we will use
+ *          rotation True circles are rotation independent.  However, if you
+ *                   are drawing a 3-sided polygon (triangle), this matters!
+ *************************************************************************/
+void drawPolygon(const Point & center, int radius, int points, int rotation)
+{
+   // begin drawing
+   glBegin(GL_LINE_LOOP);
+
+   //loop around a circle the given number of times drawing a line from
+   //one point to the next
+   for (double i = 0; i < 2 * M_PI; i += (2 * M_PI) / points)
+   {
+      Point temp(false /*check*/);
+      temp.setX(center.getX() + (radius * cos(i)));
+      temp.setY(center.getY() + (radius * sin(i)));
+      rotate(temp, center, rotation);
+      glVertex2f(temp.getX(), temp.getY());
+   }
+
+   // complete drawing
+   glEnd();
+
+}
+
+
+/************************************************************************
+ * ROTATE
+ * Rotate a given point (point) around a given origin (center) by a given
+ * number of degrees (angle).
+ *    INPUT  point    The point to be moved
+ *           center   The center point we will rotate around
+ *           rotation Rotation in degrees
+ *    OUTPUT point    The new position
+ *************************************************************************/
+void rotate(Point & point, const Point & origin, int rotation)
+{
+   // because sine and cosine are expensive, we want to call them only once
+   double cosA = cos(deg2rad(rotation));
+   double sinA = sin(deg2rad(rotation));
+
+   // remember our original point
+   Point tmp(false /*check*/);
+   tmp.setX(point.getX() - origin.getX());
+   tmp.setY(point.getY() - origin.getY());
+
+   // find the new values
+   point.setX(static_cast<int> (tmp.getX() * cosA -
+                                tmp.getY() * sinA) +
+              origin.getX());
+   point.setY(static_cast<int> (tmp.getX() * sinA +
+                                tmp.getY() * cosA) +
+              origin.getY());
+}
+
+/************************************************************************
+ * DRAW LINE
+ * Draw a line on the screen from the beginning to the end.
+ *   INPUT  begin     The position of the beginning of the line
+ *          end       The position of the end of the line
+ *************************************************************************/
+void drawLine(const Point & begin, const Point & end,
+              float red, float green, float blue)
+{
+   // Get ready...
+   glBegin(GL_LINES);
+   glColor3f(red, green, blue);
+
+   // Draw the actual line
+   glVertex2f(begin.getX(), begin.getY());
+   glVertex2f(  end.getX(),   end.getY());
+
+   // Complete drawing
+   glColor3f(1.0 /* red % */, 1.0 /* green % */, 1.0 /* blue % */);
+   glEnd();
+}
+
+/***********************************************************************
+ * DRAW Lander
+ * Draw a moon-lander spaceship on the screen at a given point
+ ***********************************************************************/
+void drawLander(const Point & point)
+{
+   // ultra simple point
+   struct PT
+   {
+      int x;
+      int y;
+   } points[] = 
+   {
+      {-6, 0}, {-10,0}, {-8, 0}, {-8, 3},  // left foot
+      {-5, 4}, {-5, 7}, {-8, 3}, {-5, 4},  // left leg
+      {-1, 4}, {-3, 2}, { 3, 2}, { 1, 4}, {-1, 4}, // bottom
+      { 5, 4}, { 5, 7}, {-5, 7}, {-3, 7},  // engine square
+      {-6,10}, {-6,13}, {-3,16}, { 3,16},   // left of habitat
+      { 6,13}, { 6,10}, { 3, 7}, { 5, 7},   // right of habitat
+      { 5, 4}, { 8, 3}, { 5, 7}, { 5, 4},  // right leg
+      { 8, 3}, { 8, 0}, {10, 0}, { 6, 0}   // right foot
+   };
+
+   // draw it
+   glBegin(GL_LINE_STRIP);
+   for (int i = 0; i < sizeof(points) / sizeof(points[0]); i++)
+        glVertex2f(point.getX() + points[i].x,
+                   point.getY() + points[i].y);
+
+   // complete drawing
+   glEnd();
+   
+   
+}
+
+
+/***********************************************************************
+ * DRAW Lander Flame
+ * Draw the flames coming out of a moonlander for thrust
+ ***********************************************************************/
+void drawLanderFlames(const Point & point, 
+                      bool bottom,
+                      bool left,
+                      bool right)
+{
+   // simple point
+   struct PT
+   {
+      int x;
+      int y;
+   };
+
+   int iFlame = random(0, 3);  // so the flame flickers
+   
+   // draw it
+   glBegin(GL_LINE_LOOP);
+   glColor3f(1.0 /* red % */, 0.0 /* green % */, 0.0 /* blue % */);
+   
+   // bottom thrust
+   if (bottom)
+   {
+      PT points[3][3] =
+      {
+         { {-5,  -6}, { 0, -1}, { 3, -10} },
+         { {-3,  -6}, {-1, -2}, { 0, -15} },
+         { { 2, -12}, { 1,  0}, { 6,  -4} }
+      };
+      
+      glVertex2f(point.getX() - 2, point.getY() + 2);
+      for (int i = 0; i < 3; i++)
+         glVertex2f(point.getX() + points[iFlame][i].x,
+                   point.getY() + points[iFlame][i].y);
+      glVertex2f(point.getX() + 2, point.getY() + 2);
+   }
+
+   // right thrust
+   if (right)
+   {
+      PT points[3][3] =
+      {
+         { {10, 14}, { 8, 12}, {12, 12} },
+         { {12, 10}, { 8, 10}, {10,  8} },
+         { {14, 11}, {14, 11}, {14, 11} }
+      };
+      
+      glVertex2f(point.getX() + 6, point.getY() + 12);
+      for (int i = 0; i < 3; i++)
+         glVertex2f(point.getX() + points[iFlame][i].x,
+                    point.getY() + points[iFlame][i].y);
+      glVertex2f(point.getX() + 6, point.getY() + 10);
+   }
+
+   // left thrust
+   if (left)
+   {
+      PT points[3][3] =
+      {
+         { {-10, 14}, { -8, 12}, {-12, 12} },
+         { {-12, 10}, { -8, 10}, {-10,  8} },
+         { {-14, 11}, {-14, 11}, {-14, 11} }
+      };
+      
+      glVertex2f(point.getX() - 6, point.getY() + 12);
+      for (int i = 0; i < 3; i++)
+         glVertex2f(point.getX() + points[iFlame][i].x,
+                    point.getY() + points[iFlame][i].y);
+      glVertex2f(point.getX() - 6, point.getY() + 10);
+   }
+
+   glColor3f(1.0 /* red % */, 1.0 /* green % */, 1.0 /* blue % */);
+   glEnd();
+}
+
+
+/******************************************************************
+ * RANDOM
+ * This function generates a random number.  
+ *
+ *    INPUT:   min, max : The number of values (min <= num < max)
+ *    OUTPUT   <return> : Return the integer
+ ****************************************************************/
+int random(int min, int max)
+{
+   assert(min < max);
+   int num = (rand() % (max - min)) + min;
+   assert(min <= num && num <= max);
+
+   return num;
+}
+
+/******************************************************************
+ * RANDOM
+ * This function generates a random number.  
+ *
+ *    INPUT:   min, max : The number of values (min <= num < max)
+ *    OUTPUT   <return> : Return the double
+ ****************************************************************/
+double random(double min, double max)
+{
+   assert(min <= max);
+   double num = min + ((double)rand() / (double)RAND_MAX * (max - min));
+   
+   assert(min <= num && num <= max);
+
+   return num;
+}
+
+
+/************************************************************************
+ * DRAW RECTANGLE
+ * Draw a rectangle on the screen centered on a given point (center) of
+ * a given size (width, height), and at a given orientation (rotation)
+ *  INPUT  center    Center of the rectangle
+ *         width     Horizontal size
+ *         height    Vertical size
+ *         rotation  Orientation
+ *************************************************************************/
+void drawRect(const Point & center, int width, int height, int rotation)
+{
+   Point tl(false /*check*/); // top left
+   Point tr(false /*check*/); // top right 
+   Point bl(false /*check*/); // bottom left
+   Point br(false /*check*/); // bottom right
+
+   //Top Left point
+   tl.setX(center.getX() - (width  / 2));
+   tl.setY(center.getY() + (height / 2));
+
+   //Top right point
+   tr.setX(center.getX() + (width  / 2));
+   tr.setY(center.getY() + (height / 2));
+
+   //Bottom left point
+   bl.setX(center.getX() - (width  / 2));
+   bl.setY(center.getY() - (height / 2));
+
+   //Bottom right point
+   br.setX(center.getX() + (width  / 2));
+   br.setY(center.getY() - (height / 2));
+
+   //Rotate all points the given degrees
+   rotate(tl, center, rotation);
+   rotate(tr, center, rotation);
+   rotate(bl, center, rotation);
+   rotate(br, center, rotation);
+
+   //Finally draw the rectangle
+   glBegin(GL_LINE_STRIP);
+   glVertex2f(tl.getX(), tl.getY());
+   glVertex2f(tr.getX(), tr.getY());
+   glVertex2f(br.getX(), br.getY());
+   glVertex2f(bl.getX(), bl.getY());
+   glVertex2f(tl.getX(), tl.getY());
+   glEnd();
+}
+
+/************************************************************************
+ * DRAW CIRCLE
+ * Draw a circle from a given location (center) of a given size (radius).
+ *  INPUT   center   Center of the circle
+ *          radius   Size of the circle
+ *************************************************************************/
+void drawCircle(const Point & center, int radius)
+{
+   assert(radius > 1.0);
+   const double increment = 1.0 / (double)radius;
+
+   // begin drawing
+   glBegin(GL_LINE_LOOP);
+
+   // go around the circle
+   for (double radians = 0; radians < M_PI * 2.0; radians += increment)
+      glVertex2f(center.getX() + (radius * cos(radians)),
+                 center.getY() + (radius * sin(radians)));
+   
+   // complete drawing
+   glEnd();   
+}
+
+/************************************************************************
+ * DRAW DOT
+ * Draw a single point on the screen, 2 pixels by 2 pixels
+ *  INPUT point   The position of the dow
+ *************************************************************************/
+void drawDot(const Point & point)
+{
+   // Get ready, get set...
+   glBegin(GL_POINTS);
+
+   // Go...
+   glVertex2f(point.getX(),     point.getY()    );
+   glVertex2f(point.getX() + 1, point.getY()    );
+   glVertex2f(point.getX() + 1, point.getY() + 1);
+   glVertex2f(point.getX(),     point.getY() + 1);
+
+   // Done!  OK, that was a bit too dramatic
+   glEnd();
+}
+
+/************************************************************************
+ * DRAW Tough Bird
+ * Draw a tough bird on the screen
+ *  INPUT point   The position of the sacred
+ *        radius  The size of the bird
+ *        hits    How many its remaining to kill the bird 
+ *************************************************************************/
+void drawToughBird(const Point & center, float radius, int hits)
+{
+   assert(radius > 1.0);
+   const double increment = M_PI / 6.0;
+   
+   // begin drawing
+   glBegin(GL_TRIANGLES);   
+
+   // three points: center, pt1, pt2
+   Point pt1(false /*check*/);
+   pt1.setX(center.getX() + (radius * cos(0.0)));
+   pt1.setY(center.getY() + (radius * sin(0.0)));   
+   Point pt2(pt1);
+
+   // go around the circle
+   for (double radians = increment;
+        radians <= M_PI * 2.0 + .5;
+        radians += increment)
+   {
+      pt2.setX(center.getX() + (radius * cos(radians)));
+      pt2.setY(center.getY() + (radius * sin(radians)));
+
+      glVertex2f(center.getX(), center.getY());
+      glVertex2f(pt1.getX(),    pt1.getY()   );
+      glVertex2f(pt2.getX(),    pt2.getY()   );
+      
+      pt1 = pt2;
+   }
+      
+   // complete drawing
+   glEnd();   
+
+   // draw the score in the center
+   if (hits > 0 && hits < 10)
+   {
+      glColor3f(0.0 /* red % */, 0.0 /* green % */, 0.0 /* blue % */);
+      glRasterPos2f(center.getX() - 4, center.getY() - 3);
+      glutBitmapCharacter(GLUT_BITMAP_8_BY_13, (char)(hits + '0'));
+      glColor3f(1.0, 1.0, 1.0); // reset to white
+   }
+}
+
+/************************************************************************
+ * DRAW Sacred Bird
+ * Draw a sacred bird on the screen
+ *  INPUT point   The position of the sacred
+ *        radius  The size of the bird
+ *************************************************************************/
+void drawSacredBird(const Point & center, float radius)
+{
+   // handle auto-rotation
+   static float rotation = 0.0;   
+   rotation += 5.0;
+
+   
+   // begin drawing
+   glBegin(GL_LINE_LOOP);
+   glColor3f(1.0 /* red % */, 0.0 /* green % */, 0.0 /* blue % */);
+
+   
+   //loop around a circle the given number of times drawing a line from
+   //one point to the next
+   for (int i = 0; i < 5; i++)
+   {
+      Point temp(false /*check*/);
+      float radian = (float)i * (M_PI * 2.0) * 0.4;
+      temp.setX(center.getX() + (radius * cos(radian)));
+      temp.setY(center.getY() + (radius * sin(radian)));
+      rotate(temp, center, rotation);
+      glVertex2f(temp.getX(), temp.getY());
+   }
+   
+   // complete drawing
+   glColor3f(1.0, 1.0, 1.0); // reset to white
+   glEnd();   
+}
+
+/**********************************************************************
+ * DRAW SMALL ASTEROID
+ **********************************************************************/
+void drawSmallAsteroid( const Point & center, int rotation)
+{
+   // ultra simple point
+   struct PT
+   {
+      int x;
+      int y;
+   } points[] = 
+   {
+      {-5, 9},  {4, 8},   {8, 4},   
+      {8, -5},  {-2, -8}, {-2, -3}, 
+      {-8, -4}, {-8, 4},  {-5, 10}
+   };
+   
+   glBegin(GL_LINE_STRIP);
+   for (int i = 0; i < sizeof(points)/sizeof(PT); i++)
+   {
+      Point pt(center.getX() + points[i].x, 
+               center.getY() + points[i].y);
+      rotate(pt, center, rotation);
+      glVertex2f(pt.getX(), pt.getY());
+   }
+   glEnd();
+}
+
+/**********************************************************************
+ * DRAW MEDIUM ASTEROID
+ **********************************************************************/
+void drawMediumAsteroid( const Point & center, int rotation)
+{
+   // ultra simple point
+   struct PT
+   {
+      int x;
+      int y;
+   } points[] = 
+   {
+      {2, 8},    {8, 15},    {12, 8}, 
+      {6, 2},    {12, -6},   {2, -15},
+      {-6, -15}, {-14, -10}, {-15, 0},
+      {-4, 15},  {2, 8}
+   };
+   
+   glBegin(GL_LINE_STRIP);
+   for (int i = 0; i < sizeof(points)/sizeof(PT); i++)
+   {
+      Point pt(center.getX() + points[i].x, 
+               center.getY() + points[i].y);
+      rotate(pt, center, rotation);
+      glVertex2f(pt.getX(), pt.getY());
+   }
+   glEnd();
+}
+
+/**********************************************************************
+ * DRAW LARGE ASTEROID
+ **********************************************************************/
+void drawLargeAsteroid( const Point & center, int rotation)
+{
+   // ultra simple point
+   struct PT
+   {
+      int x;
+      int y;
+   } points[] = 
+   {
+      {0, 12},    {8, 20}, {16, 14},
+      {10, 12},   {20, 0}, {0, -20},
+      {-18, -10}, {-20, -2}, {-20, 14},
+      {-10, 20},  {0, 12}
+   };
+   
+   glBegin(GL_LINE_STRIP);
+   for (int i = 0; i < sizeof(points)/sizeof(PT); i++)
+   {
+      Point pt(center.getX() + points[i].x, 
+               center.getY() + points[i].y);
+      rotate(pt, center, rotation);
+      glVertex2f(pt.getX(), pt.getY());
+   }
+   glEnd();
+}
+
+
+/************************************************************************       
+ * DRAW Ship                                                                    
+ * Draw a spaceship on the screen                                               
+ *  INPUT point   The position of the ship                                      
+ *        angle   Which direction it is ponted                                  
+ *************************************************************************/
+void drawShip(const Point & center, int rotation, bool thrust)
+{
+   // ultra simple point
+   struct PT
+   {
+      int x;
+      int y;
+   };
+   
+   // draw the ship                                                 
+   const PT pointsShip[] = 
+   { // top   r.wing   r.engine l.engine  l.wing    top
+      {0, 6}, {6, -6}, {2, -3}, {-2, -3}, {-6, -6}, {0, 6}  
+   };
+   
+   glBegin(GL_LINE_STRIP);
+   for (int i = 0; i < sizeof(pointsShip)/sizeof(PT); i++)
+   {
+      Point pt(center.getX() + pointsShip[i].x, 
+               center.getY() + pointsShip[i].y);
+      rotate(pt, center, rotation);
+      glVertex2f(pt.getX(), pt.getY());
+   }
+   glEnd();
+
+   // draw the flame if necessary
+   if (thrust)
+   {
+      const PT pointsFlame[3][5] =
+      {
+         { {-2, -3}, {-2, -13}, { 0, -6}, { 2, -13}, {2, -3} },
+         { {-2, -3}, {-4,  -9}, {-1, -7}, { 1, -14}, {2, -3} },
+         { {-2, -3}, {-1, -14}, { 1, -7}, { 4,  -9}, {2, -3} }
+      };
+      
+      glBegin(GL_LINE_STRIP);
+      glColor3f(1.0 /* red % */, 0.0 /* green % */, 0.0 /* blue % */);
+      int iFlame = random(0, 3);
+      for (int i = 0; i < 5; i++)
+      {
+         Point pt(center.getX() + pointsFlame[iFlame][i].x, 
+                  center.getY() + pointsFlame[iFlame][i].y);
+         rotate(pt, center, rotation);
+         glVertex2f(pt.getX(), pt.getY());
+      }
+      glColor3f(1.0, 1.0, 1.0); // reset to white                                  
+      glEnd();
+   }
+}
+
+