# include # include // // MAC OSX // //# include // # include # include using namespace std; int main ( int argc, char *argv[] ); void display ( ); void myinit ( ); //****************************************************************************80 int main ( int argc, char *argv[] ) //****************************************************************************80 // // Purpose: // // MAIN is the main program for the OpenGL VORONOI_DISPLAY example. // // Discussion: // // This program displays a Voronoi diagram. It shows a set of points in the // unit square, and the lines that form the "boundaries" of the Voronoi // regions. Each region is made up of the area that is closest to a // particular point. All of the calculations have been done already. // This program simply displays the results. // // The main program calls GLUT functions to set up the windows, // name the required callbacks and callback functions, in particular // the DISPLAY callback. // // Licensing: // // This code is distributed under the GNU LGPL license. // // Modified: // // 20 June 2006 // // Author: // // John Burkardt // // Reference: // // Edward Angel, // Interactive Computer Graphics: // A Top-Down Approach with OpenGL, // Second Edition, // Addison Wesley, 2000. // { cout << "\n"; cout << "VORONOI_DISPLAY:\n"; cout << " C++ version\n"; cout << "\n"; cout << " This is a program which uses OpenGL\n"; cout << " to display a set of points ('generators'),\n"; cout << " and their Voronoi regions.\n"; glutInit ( &argc, argv ); glutInitDisplayMode ( GLUT_SINGLE | GLUT_RGB ); glutInitWindowSize ( 500, 500 ); glutInitWindowPosition ( 0, 0 ); glutCreateWindow ( "Voronoi Diagram" ); glutDisplayFunc ( display ); myinit ( ); glutMainLoop ( ); return 0; } //****************************************************************************80 void display ( void ) //****************************************************************************80 // // Purpose: // // DISPLAY generates the graphics output. // // Discussion; // // Here we have stored the results of a Voronoi diagram calculation. // // This program is simply a demonstration. In a real usage, the generators // would be read in or randomly generated, and the lines defining the boundaries // of the Voronoi regions would be computed as part of the computation. // // Notice, also, that the semi-infinite rays that form part of the diagram // have not been included in the data. // // Licensing: // // This code is distributed under the GNU LGPL license. // // Modified: // // 20 June 2006 // // Author: // // John Burkardt // // Reference: // // Edward Angel, // Interactive Computer Graphics: // A Top-Down Approach with OpenGL, // Second Edition, // Addison Wesley, 2000. // { # define GENERATOR_NUM 9 # define VERTEX_NUM 12 # define LINE_NUM 16 int i; int j; int k; // // Coordinates of the generators. // float generator_xy[2*GENERATOR_NUM] = { 0.0, 0.0, 0.0, 1.0, 0.2, 0.5, 0.3, 0.6, 0.4, 0.5, 0.6, 0.3, 0.6, 0.5, 1.0, 0.0, 1.0, 1.0 }; // // Pairs of vertices that form the Voronoi boundary line segments. // int line_vertex[2*LINE_NUM] = { 0, 2, 0, 1, 1, 4, 1, 7, 2, 3, 2, 5, 3, 4, 3, 6, 4, 8, 5, 10, 6, 8, 6, 10, 7, 9, 8, 9, 9, 11, 10, 11 }; // // Coordinates of points that are endpoints of Voronoi boundary line segments. // float vertex_xy[2*VERTEX_NUM] = { -0.525, 0.500, 0.064, 0.735, 0.287, 0.175, 0.300, 0.200, 0.300, 0.500, 0.500, -0.250, 0.500, 0.400, 0.500, 1.062, 0.500, 0.700, 0.576, 0.928, 0.987, 0.400, 1.112, 0.500 }; // // Clear the window. // glClear ( GL_COLOR_BUFFER_BIT ); // // Draw the generator points in BLUE. // glColor3f ( 0.0, 0.0, 1.0 ); for ( i = 0; i < GENERATOR_NUM; i++ ) { glBegin ( GL_POINTS ); glVertex2fv ( generator_xy+i*2 ); glEnd ( ); } // // Draw the boundary lines, in RED. // glColor3f ( 1.0, 0.0, 0.0 ); for ( i = 0; i < LINE_NUM; i++ ) { glBegin ( GL_LINES ); j = line_vertex[0+i*2]; glVertex2fv ( vertex_xy+j*2 ); k = line_vertex[1+i*2]; glVertex2fv ( vertex_xy+k*2 ); glEnd ( ); } // // Clear all the buffers. // glFlush ( ); return; # undef GENERATOR_NUM # undef VERTEX_NUM # undef LINE_NUM } //****************************************************************************80 void myinit ( void ) //****************************************************************************80 // // Purpose: // // MYINIT initializes OpenGL state variables dealing with viewing and attributes. // // Licensing: // // This code is distributed under the GNU LGPL license. // // Modified: // // 20 June 2006 // // Author: // // John Burkardt // // Reference: // // Edward Angel, // Interactive Computer Graphics: // A Top-Down Approach with OpenGL, // Second Edition, // Addison Wesley, 2000. // { // // Set the background to WHITE. // glClearColor ( 1.0, 1.0, 1.0, 1.0 ); // // Make vertices bigger than the default size of 1.0. // glPointSize ( 5.0 ); // // Set up the viewing window with origin at the lower left. // glMatrixMode ( GL_PROJECTION ); glLoadIdentity ( ); // // Our generator points have X and Y values between 0 and 1. // We decide to show a little wider range, because some points are // right on the boundary of the unit box, and the boundary lines extend beyond that. // gluOrtho2D ( -0.1, 1.1, -0.1, 1.1 ); glMatrixMode ( GL_MODELVIEW ); return; }