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- /* fractals_random.c */
- /* This demo shows a single-buffering "freeglut" example. */
- /*
- * Program to draw a fractal by Michael Barnsley's stochastic algorithm.
- * Algorithm:
- * (1) Define the affine transformations (of the form r(i+1) = A r(i) + b )
- * (2) Find the stationary point for the first transformation
- * (3) To draw:
- * - Pick a random integer between 1 and the number of transformations (inclusive)
- * - Send the current point through the transformation to create the new current point
- * - Plot the new current point
- */
- /*
- * User Commands:
- * PgUp, PgDn - increase/decrease scaling
- * Arrow keys - translate viewing section
- * r - reset view
- * Escape - quit
- */
- #include <GL/freeglut.h>
- #include <stdio.h>
- #include <stdlib.h>
- #include <string.h>
- #include <math.h>
- #define FGH_PI 3.14159265358979323846
- #ifdef _MSC_VER
- /* DUMP MEMORY LEAKS */
- #include <crtdbg.h>
- #endif
- typedef struct
- {
- double a00, a01, a10, a11 ; /* Transformation matrix */
- double b0, b1 ; /* Constant vector added on */
- double statx, staty ; /* Coordinates of the stationary point */
- }
- AffineTrans ;
- /* Number of levels to draw the fractal */
- static int num_levels = 0 ;
- /* The definition of the fractal */
- static int num_trans ;
- static AffineTrans *affine ;
- /* the window title */
- char window_title [ 80 ] ;
- /* The amount the view is translated */
- double xwin = 0.0, ywin = 0.0 ;
- double scale_factor = 1.0 ;
- /* The current point */
- double current_x = 0.0, current_y = 0.0 ;
- /* Signals when a glClear is needed */
- static GLboolean needClear = GL_TRUE;
- static void draw_level ( int num, double m00, double m01, double m10, double m11, double n0, double n1 )
- {
- /* Draw a fractal transformed by "M", "N" as passed in */
- int i ;
- for ( i = 0; i < 10; i++ )
- {
- int random = ( rand( ) >> 10 ) % num_trans;
- double new_x = affine[random].a00 * current_x + affine[random].a01 * current_y + affine[random].b0 ;
- double new_y = affine[random].a10 * current_x + affine[random].a11 * current_y + affine[random].b1 ;
-
- glVertex2d ( new_x, new_y ) ;
- current_x = new_x ;
- current_y = new_y ;
- }
- }
- static void
- Display(void)
- {
- if (needClear) {
- glClear(GL_COLOR_BUFFER_BIT);
- needClear = GL_FALSE;
- }
- /* the curve */
- glPushMatrix();
- glScaled(2.5, 2.5, 2.5);
- glColor4f(0.0, 0.0, 0.0, 1.0);
- glBegin ( GL_POINTS ) ;
- draw_level ( num_levels, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0 );
- glEnd () ;
- glPopMatrix();
- glFlush();
- glutPostRedisplay(); /* Needed so that this function will be called again */
- }
- static void
- Reshape(int width, int height)
- {
- float ar;
- glViewport(0, 0, width, height);
- glMatrixMode(GL_PROJECTION);
- glLoadIdentity();
- ar = (float) width / (float) height;
- if( ar > 1 )
- glFrustum(-ar, ar, -1.0, 1.0, 2.0, 100.0);
- else
- glFrustum(-1.0, 1.0, -1/ar, 1/ar, 2.0, 100.0);
- glMatrixMode(GL_MODELVIEW);
- glLoadIdentity();
- xwin = -1.0 ;
- ywin = 0.0 ;
- glTranslated(xwin, ywin, -5.0);
- needClear = GL_TRUE;
- }
- static void
- Key(unsigned char key, int x, int y)
- {
- int changed_settings = 1;
-
- switch (key) {
- case 27: /* Escape key */
- glutLeaveMainLoop ();
- break;
- case 'r' : case 'R' :
- glMatrixMode(GL_MODELVIEW);
- glLoadIdentity();
- xwin = -1.0 ;
- ywin = 0.0 ;
- glTranslated(xwin, ywin, -5.0);
- break ;
- default:
- changed_settings = 0;
- break;
- }
- if (changed_settings)
- needClear = GL_TRUE;
- glutPostRedisplay();
- }
- static void
- Special(int key, int x, int y)
- {
- int changed_settings = 1;
- switch (key) {
- case GLUT_KEY_UP :
- glMatrixMode(GL_MODELVIEW);
- ywin += 0.1 * scale_factor ;
- glTranslated(0.0, 0.1 * scale_factor, 0.0);
- break ;
- case GLUT_KEY_DOWN :
- glMatrixMode(GL_MODELVIEW);
- ywin -= 0.1 * scale_factor ;
- glTranslated(0.0, -0.1 * scale_factor, 0.0);
- break ;
- case GLUT_KEY_LEFT :
- glMatrixMode(GL_MODELVIEW);
- xwin -= 0.1 * scale_factor ;
- glTranslated(-0.1 * scale_factor, 0.0, 0.0);
- break ;
- case GLUT_KEY_RIGHT :
- glMatrixMode(GL_MODELVIEW);
- xwin += 0.1 * scale_factor ;
- glTranslated(0.1 * scale_factor, 0.0, 0.0);
- break ;
- case GLUT_KEY_PAGE_UP :
- glMatrixMode(GL_MODELVIEW);
- glTranslated ( -xwin, -ywin, 0.0 ) ;
- glScaled(1.25, 1.25, 1.25);
- glTranslated ( xwin, ywin, 0.0 ) ;
- scale_factor *= 0.8 ;
- break ;
- case GLUT_KEY_PAGE_DOWN :
- glMatrixMode(GL_MODELVIEW);
- glTranslated ( -xwin, -ywin, 0.0 ) ;
- glScaled(0.8, 0.8, 0.8);
- glTranslated ( xwin, ywin, 0.0 ) ;
- scale_factor *= 1.25 ;
- break ;
- default:
- changed_settings = 0;
- break;
- }
- if (changed_settings)
- needClear = GL_TRUE;
- glutPostRedisplay();
- }
- static int mouse_x = 0, mouse_y = 0 ;
- static int button_down = GLUT_DOWN ;
- static void
- Mouse ( int button, int updown, int x, int y )
- {
- button_down = updown ;
- if ( updown == GLUT_DOWN )
- {
- mouse_x = x ;
- mouse_y = y ;
- }
- }
- static void
- MouseMotion ( int x, int y )
- {
- int window_width = glutGet ( GLUT_WINDOW_WIDTH ) ;
- int window_height = glutGet ( GLUT_WINDOW_HEIGHT ) ;
- int window_size = ( window_width < window_height ) ? window_width : window_height ;
- double delta_x = 5.0 * (double)(x - mouse_x) / (double)(window_size) ;
- double delta_y = 5.0 * (double)(y - mouse_y) / (double)(window_size) ;
- xwin += delta_x * scale_factor ;
- ywin -= delta_y * scale_factor ;
- glMatrixMode ( GL_MODELVIEW ) ;
- glTranslated ( delta_x * scale_factor, -delta_y * scale_factor, 0.0 ) ;
- needClear = GL_TRUE;
- glutPostRedisplay();
- mouse_x = x ;
- mouse_y = y ;
- }
- static void
- MouseWheel ( int wheel_number, int direction, int x, int y )
- {
- double scale = ( direction > 0 ) ? 1.25 : 0.8 ;
- glMatrixMode ( GL_MODELVIEW ) ;
- glTranslated ( -xwin, -ywin, 0.0 ) ;
- glScaled ( scale, scale, scale ) ;
- glTranslated ( xwin, ywin, 0.0 ) ;
- scale_factor /= scale ;
- needClear = GL_TRUE;
- glutPostRedisplay();
- }
- static void
- checkedFGets ( char *s, int size, FILE *stream )
- {
- if ( fgets ( s, size, stream ) == NULL ) {
- fprintf ( stderr, "fgets failed\n");
- exit ( EXIT_FAILURE );
- }
- }
- void readConfigFile ( char *fnme )
- {
- FILE *fptr = fopen ( fnme, "rt" ) ;
- int i ;
- char inputline [ 256 ] ;
- if ( fptr )
- {
- /* Read a header line */
- checkedFGets ( inputline, sizeof ( inputline ), fptr ) ;
- /* Read a comment line */
- checkedFGets ( inputline, sizeof ( inputline ), fptr ) ;
- /* Read the window title */
- checkedFGets ( inputline, sizeof ( inputline ), fptr ) ;
- /* We assume here that this line will not exceed 79 characters plus a
- newline (window_title is 80 characters long). That'll cause a buffer
- overflow. For a simple program like this, though, we're letting it
- slide!
- */
- sscanf ( inputline, "%[a-zA-Z0-9!@#$%^&*()+=/\\_-\" ]", window_title ) ;
- /* Read a comment line */
- checkedFGets ( inputline, sizeof ( inputline ), fptr ) ;
- /* Read the number of affine transformations */
- checkedFGets ( inputline, sizeof ( inputline ), fptr ) ;
- sscanf ( inputline, "%d", &num_trans ) ;
- affine = (AffineTrans *)malloc ( num_trans * sizeof(AffineTrans) ) ;
- /* Read a comment line */
- checkedFGets ( inputline, sizeof ( inputline ), fptr ) ;
- for ( i = 0; i < num_trans; i++ )
- {
- /* Read an affine transformation definition */
- checkedFGets ( inputline, sizeof ( inputline ), fptr ) ;
- sscanf ( inputline, "%lf %lf %lf %lf %lf %lf", &affine[i].a00, &affine[i].a01,
- &affine[i].a10, &affine[i].a11, &affine[i].b0, &affine[i].b1 ) ;
- }
- }
- else /* No data file, set a default */
- {
- printf ( "ERROR opening file <%s>\n", fnme ) ;
- strcpy ( window_title, "Koch Snowflake" ) ;
- num_trans = 4 ;
- affine = (AffineTrans *)malloc ( num_trans * sizeof(AffineTrans) ) ;
- affine[0].a00 = 1/3. ; affine[0].a01 = 0.00 ; affine[0].a10 = 0.00 ; affine[0].a11 = 1/3. ;
- affine[0].b0 = 0.0 ; affine[0].b1 = 0.0 ;
- affine[1].a00 = 1/6. ; affine[1].a01 = -1/3.*sin(FGH_PI/3.) ; affine[1].a10 = 1/3.*sin(FGH_PI/3.) ; affine[1].a11 = 1/6. ;
- affine[1].b0 = 1/3. ; affine[1].b1 = 0.0 ;
- affine[2].a00 = 1/6. ; affine[2].a01 = -1/3.*sin(-FGH_PI/3.) ; affine[2].a10 = 1/3.*sin(-FGH_PI/3.) ; affine[2].a11 = 1/6. ;
- affine[2].b0 = 0.5 ; affine[2].b1 = sqrt(3)/6. ;
- affine[3].a00 = 1/3. ; affine[3].a01 = 0.00 ; affine[3].a10 = 0.00 ; affine[3].a11 = 1/3. ;
- affine[3].b0 = 2/3. ; affine[3].b1 = 0.0 ;
- }
- for ( i = 0; i < num_trans; i++ )
- {
- double m00, m01, m10, m11 ; /* Matrix "I" minus "A" */
- double determ ; /* Determinant of this matrix */
- /* Calculate the stationary point */
- m00 = 1.0 - affine[i].a00 ;
- m01 = - affine[i].a01 ;
- m10 = - affine[i].a10 ;
- m11 = 1.0 - affine[i].a11 ;
- determ = m00 * m11 - m01 * m10 ;
- if ( fabs ( determ ) > 1.e-6 )
- {
- affine[i].statx = ( m11 * affine[i].b0 - m01 * affine[i].b1 ) / determ ;
- affine[i].staty = ( -m10 * affine[i].b0 + m00 * affine[i].b1 ) / determ ;
- }
- else
- affine[i].statx = affine[i].staty = 0.0 ;
- }
- }
- int
- main(int argc, char *argv[])
- {
- glutInitDisplayMode( GLUT_RGB | GLUT_SINGLE );
- glutInitWindowSize(500, 250);
- glutInitWindowPosition ( 140, 140 ) ;
- glutInit(&argc, argv);
- if ( argc > 1 )
- readConfigFile ( argv[1] ) ;
- else
- readConfigFile ( "fractals.dat" ) ;
- glutCreateWindow( window_title );
- glClearColor(1.0, 1.0, 1.0, 1.0);
- glutReshapeFunc(Reshape);
- glutKeyboardFunc(Key);
- glutSpecialFunc(Special);
- glutDisplayFunc(Display);
- glutMouseFunc(Mouse);
- glutMotionFunc(MouseMotion);
- glutMouseWheelFunc(MouseWheel);
- glutMainLoop();
- printf ( "Back from the 'freeglut' main loop\n" ) ;
- free ( affine ) ;
- #ifdef _MSC_VER
- /* DUMP MEMORY LEAK INFORMATION */
- _CrtDumpMemoryLeaks () ;
- #endif
- return 0; /* ANSI C requires main to return int. */
- }
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