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Fractal demo (John Fay)

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git-svn-id: https://svn.code.sf.net/p/freeglut/code/trunk@92 7f0cb862-5218-0410-a997-914c9d46530a
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brianp 2003-06-20 19:31:06 +00:00
parent 31e9736371
commit 1a5ccf545c
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@ -71,6 +71,12 @@ freeglut/freeglut/include/GL/glut.h svn_keywords=Author+Date+Id+Revision
freeglut/freeglut/include/Makefile.am svn_keywords=Author+Date+Id+Revision freeglut/freeglut/include/Makefile.am svn_keywords=Author+Date+Id+Revision
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freeglut/freeglut/mkinstalldirs svn_keywords=Author+Date+Id+Revision freeglut/freeglut/mkinstalldirs svn_keywords=Author+Date+Id+Revision
freeglut/freeglut/progs/demos/Fractals/Fractals.dsp svn_keywords=Author+Date+Id+Revision
freeglut/freeglut/progs/demos/Fractals/fractals.c svn_keywords=Author+Date+Id+Revision
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freeglut/freeglut/progs/demos/Fractals_random/fractals_random.c svn_keywords=Author+Date+Id+Revision
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freeglut/freeglut/tests/Makefile.am svn_keywords=Author+Date+Id+Revision freeglut/freeglut/tests/Makefile.am svn_keywords=Author+Date+Id+Revision

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freeglut/freeglut/progs/demos/Fractals/Fractals.dsp Normal file
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freeglut/freeglut/progs/demos/Fractals/fractals.c Normal file
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/* fractals.c */
/*
* Program to draw a fractal by Michael Barnsley's deterministic algorithm.
* Algorithm:
* (1) Define the affine transformations (of the form r(i+1) = A r(i) + b )
* (2) Find the stationary point for each transformation
* (3) To draw:
* - If you are at the lowest level, draw lines connecting all the stationary points
* - If not, call the draw function recursively with each affine transformation applied
*/
/*
* User Commands:
* +,- - increment/decrement number of levels
* 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 <math.h>
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 and scaled */
float xwin = 0.0, ywin = 0.0 ;
float scale_factor = 1.0 ;
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 ;
if ( num == 0 )
{
double x0 = m00 * affine[0].statx + m01 * affine[0].staty + n0 ;
double y0 = m10 * affine[0].statx + m11 * affine[0].staty + n1 ;
for ( i = 1; i < num_trans; i++ )
{
double x1 = m00 * affine[i].statx + m01 * affine[i].staty + n0 ;
double y1 = m10 * affine[i].statx + m11 * affine[i].staty + n1 ;
glVertex2f ( x0, y0 ) ;
glVertex2f ( x1, y1 ) ;
x0 = x1 ;
y0 = y1 ;
}
}
else
{
/* Map each affine transformation in the fractal through the one passed in and call "draw_level" */
for ( i = 0; i < num_trans; i++ )
{
draw_level ( num-1, m00*affine[i].a00+m01*affine[i].a10, m00*affine[i].a01+m01*affine[i].a11,
m10*affine[i].a00+m11*affine[i].a10, m10*affine[i].a01+m11*affine[i].a11,
m00*affine[i].b0 +m01*affine[i].b1 + n0, m10*affine[i].b0 +m11*affine[i].b1 + n1 ) ;
}
}
}
static void
Display(void)
{
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
/* the curve */
glPushMatrix();
glScalef(2.5, 2.5, 2.5);
glColor4f(0.0, 0.0, 0.0, 1.0);
glBegin ( GL_LINES ) ;
draw_level ( num_levels, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0 );
glEnd () ;
glPopMatrix();
glutSwapBuffers();
}
static void
Reshape(int width, int height)
{
float ar;
glViewport(0, 0, width, height);
glMatrixMode(GL_PROJECTION);
glLoadIdentity();
ar = (float) width / (float) height;
glFrustum(-ar, ar, -1.0, 1.0, 2.0, 100.0);
glMatrixMode(GL_MODELVIEW);
glLoadIdentity();
xwin = -1.0 ;
ywin = 0.0 ;
glTranslatef(xwin, ywin, -5.0);
}
static void
Key(unsigned char key, int x, int y)
{
switch (key) {
case 27: /* Escape key */
glutLeaveMainLoop ();
break;
case '+' :
++num_levels ;
break ;
case '-' :
if (num_levels > 0)
--num_levels;
break ;
case 'r' : case 'R' :
glMatrixMode(GL_MODELVIEW);
glLoadIdentity();
xwin = -1.0 ;
ywin = 0.0 ;
glTranslatef(xwin, ywin, -5.0);
break ;
}
glutPostRedisplay();
}
static void
Special(int key, int x, int y)
{
switch (key) {
case GLUT_KEY_UP :
glMatrixMode(GL_MODELVIEW);
ywin += 0.1 * scale_factor ;
glTranslatef(0.0, 0.1 * scale_factor, 0.0);
break ;
case GLUT_KEY_DOWN :
glMatrixMode(GL_MODELVIEW);
ywin -= 0.1 * scale_factor ;
glTranslatef(0.0, -0.1 * scale_factor, 0.0);
break ;
case GLUT_KEY_LEFT :
glMatrixMode(GL_MODELVIEW);
xwin -= 0.1 * scale_factor ;
glTranslatef(-0.1 * scale_factor, 0.0, 0.0);
break ;
case GLUT_KEY_RIGHT :
glMatrixMode(GL_MODELVIEW);
xwin += 0.1 * scale_factor ;
glTranslatef(0.1 * scale_factor, 0.0, 0.0);
break ;
case GLUT_KEY_PAGE_UP :
glMatrixMode(GL_MODELVIEW);
glTranslatef ( -xwin, -ywin, 0.0 ) ;
glScalef(1.25, 1.25, 1.25);
glTranslatef ( xwin, ywin, 0.0 ) ;
scale_factor *= 0.8 ;
break ;
case GLUT_KEY_PAGE_DOWN :
glMatrixMode(GL_MODELVIEW);
glTranslatef ( -xwin, -ywin, 0.0 ) ;
glScalef(0.8, 0.8, 0.8);
glTranslatef ( xwin, ywin, 0.0 ) ;
scale_factor *= 1.25 ;
break ;
}
glutPostRedisplay();
}
void readConfigFile ( char *fnme )
{
FILE *fptr = fopen ( fnme, "rt" ) ;
int i ;
char inputline [ 256 ] ;
/* Read a header line */
fgets ( inputline, 256, fptr ) ;
/* Read a comment line */
fgets ( inputline, 256, fptr ) ;
/* Read the window title */
fgets ( inputline, 256, fptr ) ;
sscanf ( inputline, "%s", window_title ) ;
/* Read a comment line */
fgets ( inputline, 256, fptr ) ;
/* Read the number of affine transformations */
fgets ( inputline, 256, fptr ) ;
sscanf ( inputline, "%d", &num_trans ) ;
affine = (AffineTrans *)malloc ( num_trans * sizeof(AffineTrans) ) ;
/* Read a comment line */
fgets ( inputline, 256, fptr ) ;
for ( i = 0; i < num_trans; i++ )
{
double m00, m01, m10, m11 ; /* Matrix "I" minus "A" */
double determ ; /* Determinant of this matrix */
/* Read an affine transformation definition */
fgets ( inputline, 256, 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 ) ;
/* 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[])
{
int fractal_window ;
if ( argc > 1 )
readConfigFile ( argv[1] ) ;
else
readConfigFile ( "fractals.dat" ) ;
glutInit(&argc, argv);
glutInitWindowSize(500, 250);
glutInitWindowPosition ( 140, 140 ) ;
glutInitDisplayMode(GLUT_RGB | GLUT_DOUBLE | GLUT_DEPTH);
fractal_window = glutCreateWindow( window_title );
glClearColor(1.0, 1.0, 1.0, 1.0);
glutReshapeFunc(Reshape);
glutKeyboardFunc(Key);
glutSpecialFunc(Special);
glutDisplayFunc(Display);
glutMainLoop();
printf ( "Back from the 'freeglut' main loop\n" ) ;
return 0; /* ANSI C requires main to return int. */
}

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freeglut/freeglut/progs/demos/Fractals/fractals.dat Normal file
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Koch Snowflake Fractal
Title of window
"Koch Snowflake"
Number of transformations
4
A00 A01 A10 A11 B0 B1
0.33333 0.0 0.0 0.33333 0.0 0.0
0.16667 -.28868 0.28868 0.16667 0.33333 0.0
0.16667 0.28868 -.28868 0.16667 0.5 0.28868
0.33333 0.0 0.0 0.33333 0.66667 0.0

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freeglut/freeglut/progs/demos/Fractals_random/Fractals_random.dsp Normal file
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10
freeglut/freeglut/progs/demos/Fractals_random/fractals.dat Normal file
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Koch Snowflake Fractal
Title of window
"Koch Snowflake"
Number of transformations
4
A00 A01 A10 A11 B0 B1
0.33333 0.0 0.0 0.33333 0.0 0.0
0.16667 -.28868 0.28868 0.16667 0.33333 0.0
0.16667 0.28868 -.28868 0.16667 0.5 0.28868
0.33333 0.0 0.0 0.33333 0.66667 0.0

264
freeglut/freeglut/progs/demos/Fractals_random/fractals_random.c Normal file
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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 <math.h>
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 */
float xwin = 0.0, ywin = 0.0 ;
float scale_factor = 1.0 ;
/* The current point */
float current_x = 0.0, current_y = 0.0 ;
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 () * num_trans / RAND_MAX ;
float new_x = affine[random].a00 * current_x + affine[random].a01 * current_y + affine[random].b0 ;
float new_y = affine[random].a10 * current_x + affine[random].a11 * current_y + affine[random].b1 ;
glVertex2f ( new_x, new_y ) ;
current_x = new_x ;
current_y = new_y ;
}
}
static void
Display(void)
{
/* the curve */
glPushMatrix();
glScalef(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();
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;
glFrustum(-ar, ar, -1.0, 1.0, 2.0, 100.0);
glMatrixMode(GL_MODELVIEW);
glLoadIdentity();
xwin = -1.0 ;
ywin = 0.0 ;
glTranslatef(xwin, ywin, -5.0);
}
static void
Key(unsigned char key, int x, int y)
{
switch (key) {
case 27: /* Escape key */
glutLeaveMainLoop ();
break;
case 'r' : case 'R' :
glMatrixMode(GL_MODELVIEW);
glLoadIdentity();
xwin = -1.0 ;
ywin = 0.0 ;
glTranslatef(xwin, ywin, -5.0);
break ;
}
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
glutPostRedisplay();
}
static void
Special(int key, int x, int y)
{
switch (key) {
case GLUT_KEY_UP :
glMatrixMode(GL_MODELVIEW);
ywin += 0.1 * scale_factor ;
glTranslatef(0.0, 0.1 * scale_factor, 0.0);
break ;
case GLUT_KEY_DOWN :
glMatrixMode(GL_MODELVIEW);
ywin -= 0.1 * scale_factor ;
glTranslatef(0.0, -0.1 * scale_factor, 0.0);
break ;
case GLUT_KEY_LEFT :
glMatrixMode(GL_MODELVIEW);
xwin -= 0.1 * scale_factor ;
glTranslatef(-0.1 * scale_factor, 0.0, 0.0);
break ;
case GLUT_KEY_RIGHT :
glMatrixMode(GL_MODELVIEW);
xwin += 0.1 * scale_factor ;
glTranslatef(0.1 * scale_factor, 0.0, 0.0);
break ;
case GLUT_KEY_PAGE_UP :
glMatrixMode(GL_MODELVIEW);
glTranslatef ( -xwin, -ywin, 0.0 ) ;
glScalef(1.25, 1.25, 1.25);
glTranslatef ( xwin, ywin, 0.0 ) ;
scale_factor *= 0.8 ;
break ;
case GLUT_KEY_PAGE_DOWN :
glMatrixMode(GL_MODELVIEW);
glTranslatef ( -xwin, -ywin, 0.0 ) ;
glScalef(0.8, 0.8, 0.8);
glTranslatef ( xwin, ywin, 0.0 ) ;
scale_factor *= 1.25 ;
break ;
}
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
glutPostRedisplay();
}
void readConfigFile ( char *fnme )
{
FILE *fptr = fopen ( fnme, "rt" ) ;
int i ;
char inputline [ 256 ] ;
/* Read a header line */
fgets ( inputline, 256, fptr ) ;
/* Read a comment line */
fgets ( inputline, 256, fptr ) ;
/* Read the window title */
fgets ( inputline, 256, fptr ) ;
sscanf ( inputline, "%s", window_title ) ;
/* Read a comment line */
fgets ( inputline, 256, fptr ) ;
/* Read the number of affine transformations */
fgets ( inputline, 256, fptr ) ;
sscanf ( inputline, "%d", &num_trans ) ;
affine = (AffineTrans *)malloc ( num_trans * sizeof(AffineTrans) ) ;
/* Read a comment line */
fgets ( inputline, 256, fptr ) ;
for ( i = 0; i < num_trans; i++ )
{
double m00, m01, m10, m11 ; /* Matrix "I" minus "A" */
double determ ; /* Determinant of this matrix */
/* Read an affine transformation definition */
fgets ( inputline, 256, 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 ) ;
/* 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[])
{
int fractal_window ;
if ( argc > 1 )
readConfigFile ( argv[1] ) ;
else
readConfigFile ( "fractals.dat" ) ;
glutInit(&argc, argv);
glutInitWindowSize(500, 250);
glutInitWindowPosition ( 140, 140 ) ;
glutInitDisplayMode(GLUT_RGB | GLUT_SINGLE | GLUT_DEPTH);
fractal_window = glutCreateWindow( window_title );
glClearColor(1.0, 1.0, 1.0, 1.0);
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
glutReshapeFunc(Reshape);
glutKeyboardFunc(Key);
glutSpecialFunc(Special);
glutDisplayFunc(Display);
glutMainLoop();
printf ( "Back from the 'freeglut' main loop\n" ) ;
return 0; /* ANSI C requires main to return int. */
}