L'exécutable

Algo23.gif (9617 octets)

Algo23.gif (9617 octets)

Algo23.gif (9617 octets)  Algo23.gif (9617 octets)

Le source: BresenhamCercle.cpp

#include <windows.h>

#include <GL/gl.h>
#include <GL/glu.h>
#include <GL/glaux.h>

#include <stdio.h>
#include <stdlib.h>
#include <math.h>

static int aff = 0 ;
static int yy = 0 ;
static float bleu[] = { 0.0F,0.0F,1.0F,1.0F } ;

void circle(int *p1,float r) {
  glColor3fv(bleu) ;
  glBegin(GL_LINE_LOOP) ;
  for ( int i = 0 ; i < 360 ; i++ ) {
    float angle = i * 3.14159F / 180 ;
    float x = (float) (p1[0] + r*cos(angle)) ;
    float y = (float) (p1[1] + r*sin(angle)) ;
    glVertex2f(x,y) ; }
  glEnd() ;
}

void pixel(int x,int y,float *c) {
  glColor3fv(c) ;
  glBegin(GL_QUADS) ;
  glVertex2f(x-0.5F,y-0.5F) ;
  glVertex2f(x-0.5F,y+0.5F) ;
  glVertex2f(x+0.5F,y+0.5F) ;
  glVertex2f(x+0.5F,y-0.5F) ;
  glEnd() ;
}

void cercle(float *c,int r) {
  int x,y,d ;
  x = 0 ;
  y = r ;
  d = 1 - r ;
  pixel(x,y,c) ;
  pixel(-x,y,c) ;
  pixel(x,-y,c) ;
  pixel(-x,-y,c) ;
  pixel(y,x,c) ;
  pixel(-y,x,c) ;
  pixel(y,-x,c) ;
  pixel(-y,-x,c) ;
  while ( y > x ) {
    if ( d < 0 )
      d += 2 * x + 3 ;
      else {
      d += 2 * (x - y) + 5 ;
      y-- ; }
    x++ ;
    pixel(y,x,c) ;
    pixel(-y,x,c) ;
    pixel(y,-x,c) ;
    pixel(-y,-x,c) ;
    pixel(x,y,c) ;
    pixel(x,-y,c) ;
    pixel(-x,y,c) ;
    pixel(-x,-y,c) ; }
}

void cercleIncomplet(float *c,int r,int max,int aff) {
  int x,y,d ;
  x = 0 ;
  y = r ;
  d = 1 - r ;
  if ( aff && ( max == 0 ) ) {
    printf("  x   c   y\n") ;
    printf("%3d %3d %3d\n",x,d,y) ; }
  pixel(x,y,c) ;
  pixel(-x,y,c) ;
  pixel(x,-y,c) ;
  pixel(-x,-y,c) ;
  pixel(y,x,c) ;
  pixel(-y,x,c) ;
  pixel(y,-x,c) ;
  pixel(-y,-x,c) ;
  int cp = 0 ;
  while ( ( y > x ) && ( cp < max ) ) {
    cp++ ;
    if ( d < 0 )
      d += 2 * x + 3 ;
      else {
      d += 2 * (x - y) + 5 ;
      y-- ; }
    x++ ;
    if ( aff && ( cp == max ) )
      printf("%3d %3d %3d\n",x,d,y) ;
    pixel(y,x,c) ;
    pixel(-y,x,c) ;
    pixel(y,-x,c) ;
    pixel(-y,-x,c) ;
    pixel(x,y,c) ;
    pixel(x,-y,c) ;
    pixel(-x,y,c) ;
    pixel(-x,-y,c) ; }
}

void CALLBACK display() {
  float rouge[] = { 1.0F,0.0F,0.0F,1.0F };
  float vert[] = { 0.0F,1.0F,0.0F,1.0F };
  float jaune[] = { 1.0F,1.0F,0.0F,1.0F };
  float cyan[] = { 0.0F,1.0F,1.0F,1.0F };
  int p[] = { 0,0 } ;
  glClear(GL_COLOR_BUFFER_BIT|GL_DEPTH_BUFFER_BIT);
  glPushMatrix();
  switch (aff) {
    case 0 : cercle(rouge,10) ;
             cercle(vert,15) ;
             cercle(jaune,20) ;
             cercle(cyan,25) ;
             circle(p,10) ;
             circle(p,15) ;
             circle(p,20) ;
             circle(p,25) ;
             break ;
    case 1 : cercleIncomplet(rouge,10,yy,0) ;
             cercleIncomplet(vert,15,yy,0) ;
             cercleIncomplet(jaune,20,yy,0) ;
             cercleIncomplet(cyan,25,yy,0) ;
             circle(p,10) ;
             circle(p,15) ;
             circle(p,20) ;
             circle(p,25) ;
             break ;
    case 2 : cercleIncomplet(rouge,10,yy,1) ;
             circle(p,10) ;
             break ;
    case 3 : cercleIncomplet(vert,15,yy,1) ;
             circle(p,15) ;
             break ;
    case 4 : cercleIncomplet(jaune,20,yy,1) ;
             circle(p,20) ;
             break ;
    case 5 : cercleIncomplet(cyan,25,yy,1) ;
             circle(p,25) ;
             break ; }
  glPopMatrix();
  glFlush();
  auxSwapBuffers() ;
}

void CALLBACK reshape(int w,int h) {
  glViewport(0,0,w,h);
  glMatrixMode(GL_PROJECTION);
  glLoadIdentity();
  if( w <= h) 
    glOrtho(-30.0,30.0,-30.0*(double) h/w,30.0*(double) h/w,-40.0,40.0);
    else 
    glOrtho(-30.0*(double) h/w,30.0*(double) h/w,-30.0,30.0,-40.0,40.0);
  glMatrixMode(GL_MODELVIEW);
  glLoadIdentity();
}

void CALLBACK auxKeyReturn() {
  yy = 0 ;
  aff++ ;
  if ( aff == 6 )
    aff = 0 ;
}

void CALLBACK init() {
  glShadeModel(GL_SMOOTH);
  glClearColor(0.8F,0.8F,0.8F,1.0F);
}

void CALLBACK auxKeySpace() {
  yy++ ;
  if ( yy == 60 )
    yy = 0 ;
}

void main(void) {
  auxInitDisplayMode(AUX_DOUBLE|AUX_RGBA|AUX_DEPTH);
  auxInitPosition (0,0,300,300);
  auxInitWindow("Cercle par l'algorithme de Bresenham") ;
  init();
  auxKeyFunc(AUX_RETURN,auxKeyReturn) ;
  auxKeyFunc(AUX_SPACE,auxKeySpace) ;
  auxReshapeFunc(reshape);
  auxMainLoop(display);
}
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