Le source : CubiqueTangente.cpp
/* Auteur: Nicolas JANEY */
/* nicolas.janey@univ-fcomte.fr */
/* Fevrier 2019 */
/* Illustration de la generation */
/* d'une courbe B-Spline */
/* avec calcul des tangentes */
#include <math.h>
#include <stdlib.h>
#include <stdio.h>
#include <GL/glut.h>
#include <GL/gl.h>
#include <GL/glu.h>
#include "ModuleCouleurs.h"
#include "ModuleFont.h"
#include "ModuleManipulateur.h"
#include "ModuleMenus.h"
#include "ModuleFleche.h"
#include "ModuleReshape.h"
struct coord_3D {
GLfloat x = 0.0F;
GLfloat y = 0.0F;
GLfloat z = 0.0F;
GLfloat w = 1.0F; };
struct polygone {
int n = 0;
coord_3D *p = NULL; };
typedef struct coord_3D coord_3D;
typedef struct polygone polygone;
typedef float matrice[4][4];
static GLfloat pts[4][4] = {
{ 1.0F,-3.0F,-3.0F, 1.0F },
{ 2.0F, 3.0F,-2.0F, 1.0F },
{ -4.0F, 0.0F, 2.0F, 1.0F },
{ -1.0F,-4.0F, 4.0F, 1.0F } };
static int aff = 2;
static int pt = 0;
static int mode = 0;
static int ttan = 1;
static int np = 0;
static int disc = 30;
static polygone pl;
static matrice m1 =
{ -0.1666666F, 0.5F, -0.5F, 0.1666666F,
0.5F ,-1.0F, 0.5F, 0.0F,
-0.5F , 0.0F, 0.5F, 0.0F,
0.1666666F, 0.6666666F, 0.1666666F,0.0F };
static matrice m2 =
{ -0.5F, 1.5F,-1.5F, 0.5F,
1.0F,-2.5F, 2.0F,-0.5F,
-0.5F, 0.0F, 0.5F, 0.0F,
0.0F, 1.0F, 0.0F, 0.0F };
static matrice m3 =
{ -1.0F, 3.0F,-3.0F, 1.0F,
3.0F,-6.0F, 3.0F, 0.0F,
-3.0F, 3.0F, 0.0F, 0.0F,
1.0F, 0.0F, 0.0F, 0.0F };
void point(float x,float y,float z) {
glVertex3f(x,y,z);
}
void pointIndividuel(float x,float y,float z,float vx,float vy,float vz) {
glBegin(GL_POINTS);
glVertex3f(x,y,z);
glEnd();
glPushMatrix();
glTranslatef(x,y,z);
glEnable(GL_LIGHTING);
flecheEnVolume(vx,vy,vz,0.04F,0.3F,0.01F);
glDisable(GL_LIGHTING);
glPopMatrix();
}
void calcul(float *tt,matrice m,coord_3D *p,float *x,float *y,float *z) {
int j,k;
float ttt[4];
for ( j = 0 ; j < 4 ; j++ )
for ( k = 0,ttt[j] = 0 ; k < 4 ; k++ )
ttt[j] += tt[k] * m[k][j];
*x = *y = *z = 0;
for ( j = 0 ; j < 4 ; j++ ) {
*x += ttt[j] * p[j].x;
*y += ttt[j] * p[j].y;
*z += ttt[j] * p[j].z; }
}
void lisse(coord_3D *p,int n,matrice m) {
float tt[4],x,y,z;
for ( int i = 0 ; i < n ; i++ ) {
float t =(float) i/(n-1);
tt[0] = t*t*t;
tt[1] = t*t;
tt[2] = t;
tt[3] = 1.0F;
calcul(tt,m,p,&x,&y,&z);
point(x,y,z); }
}
void tangente(coord_3D *p,int n,matrice m,int pt) {
float tt[4],x,y,z,vx,vy,vz;
float t =(float) pt/(n-1);
tt[0] = t*t*t;
tt[1] = t*t;
tt[2] = t;
tt[3] = 1.0F;
calcul(tt,m,p,&x,&y,&z);
tt[0] = 3*t*t;
tt[1] = 2*t;
tt[2] = 1.0F;
tt[3] = 0.0F;
calcul(tt,m,p,&vx,&vy,&vz);
float d = sqrt(vx*vx+vy*vy+vz*vz);
vx /= d;
vy /= d;
vz /= d;
pointIndividuel(x,y,z,vx,vy,vz);
}
void display(void) {
int i;
glClear(GL_COLOR_BUFFER_BIT|GL_DEPTH_BUFFER_BIT);
glPushMatrix();
glEnable(GL_DEPTH_TEST);
manipulateurSouris();
manipulateurClavier();
glColor4fv(couleurBlanc());
glBegin(GL_LINE_STRIP);
for ( i = 0 ; i < 4 ; i++ )
glVertex3fv(&pts[i][0]);
glEnd();
glPointSize(5.0);
glBegin(GL_POINTS);
for ( i = 0 ; i < 4 ; i++ ) {
glColor4fv((i == pt) ? couleurRouge() : couleurJaune());
glVertex3fv(&pts[i][0]); }
glEnd();
glPointSize(3.0);
matrice *m;
switch (aff) {
case 0 : m = &m1;
break;
case 1 : m = &m2;
break;
case 2 : m = &m3;
break; }
if ( ( mode == 0 ) || ( mode == 2 ) ) {
glColor4fv(couleurCyan());
glBegin(GL_LINE_STRIP);
lisse(pl.p,disc,*m);
glEnd(); }
if ( ( mode == 1 ) || ( mode == 2 ) ) {
glColor4fv(couleurMagenta());
glBegin(GL_POINTS);
lisse(pl.p,disc,*m);
glEnd(); }
if ( ttan ) {
tangente(pl.p,disc,*m,np); }
else
for ( i = 0 ; i < disc ; i++ )
tangente(pl.p,disc,*m,i);
glDisable(GL_DEPTH_TEST);
for ( i = 0 ; i < 4 ; i++ ) {
glColor4fv((i == pt) ? couleurRouge() : couleurJaune());
placeFontCursor(pts[i][0]+0.3F,pts[i][1]+0.3F,pts[i][2]+0.3F);
simpleBitmapOutput("%d",i); }
glPopMatrix();
glPushMatrix();
glColor4fv(couleurBlanc());
placeFontCursor(getXmin()+0.3F,getYmin()+0.6F,0.0F);
switch (aff) {
case 0 : simpleBitmapOutput("%s","NRUBS");
break;
case 1 : simpleBitmapOutput("%s","Catmull Rom");
break;
case 2 : simpleBitmapOutput("%s","Bezier");
break; }
glPopMatrix();
glFlush();
glutSwapBuffers();
}
void init(void) {
glClearColor(0.0,0.0,0.0,1.0);
glDepthFunc(GL_LESS);
GLfloat shinines[] = { 50.0 };
GLfloat l_pos0[] = { -1.0,1.0,1.0,0.0 };
GLfloat l_pos1[] = { 1.0,1.0,1.0,0.0 };
glMaterialfv(GL_FRONT,GL_DIFFUSE,couleurVert());
glMaterialfv(GL_FRONT,GL_SPECULAR,couleurBlanc());
glMaterialfv(GL_FRONT,GL_SHININESS,shinines);
glLightfv(GL_LIGHT0,GL_POSITION,l_pos0);
glLightfv(GL_LIGHT0,GL_POSITION,l_pos1);
glEnable(GL_LIGHT0);
glEnable(GL_LIGHT1);
glEnable(GL_NORMALIZE);
}
void special(int k, int x, int y) {
switch (k) {
case GLUT_KEY_LEFT : pts[pt][0] -= 0.1F;
glutPostRedisplay();
break;
case GLUT_KEY_RIGHT : pts[pt][0] += 0.1F;
glutPostRedisplay();
break;
case GLUT_KEY_UP : pts[pt][1] += 0.1F;
glutPostRedisplay();
break;
case GLUT_KEY_DOWN : pts[pt][1] -= 0.1F;
glutPostRedisplay();
break;
case GLUT_KEY_PAGE_UP : pts[pt][2] += 0.1F;
glutPostRedisplay();
break;
case GLUT_KEY_PAGE_DOWN : pts[pt][2] += 0.1F;
glutPostRedisplay();
break; }
}
void key(unsigned char key,int x,int y) {
if ( keyManipulateur(key,x,y) )
glutPostRedisplay();
else
switch ( key ) {
case 43 : disc++;
glutPostRedisplay();
break;
case 45 : disc--;
if ( disc < 3 )
disc = 3;
np = np%disc;
glutPostRedisplay();
break;
case 0x0D : aff = (aff+1)%3;
glutPostRedisplay();
break;
case 'p' : np = (np+1)%disc;
glutPostRedisplay();
break;
case 'P' : np = np-1;
if ( np < 3 )
np = 3;
glutPostRedisplay();
break;
case 'm' : mode = (mode+1)%3;
glutPostRedisplay();
break;
case 't' : ttan = (ttan+1)%2;
np = 0;
glutPostRedisplay();
break;
case 32 : pt = (pt+1)%4;
glutPostRedisplay();
break; }
}
void select1(int selection) {
switch (selection) {
case 1 : aff = 0;
glutPostRedisplay();
break;
case 2 : aff = 1;
glutPostRedisplay();
break;
case 3 : aff = 2;
glutPostRedisplay();
break; }
}
void select2(int selection) {
switch (selection) {
case 4 : pt = (pt+1)%4;
glutPostRedisplay();
break;
case 5 : mode = 0;
glutPostRedisplay();
break;
case 6 : mode = 1;
glutPostRedisplay();
break;
case 7 : mode = 2;
glutPostRedisplay();
break;
case 8 : ttan = 1;
glutPostRedisplay();
break;
case 9 : ttan = 0;
np = 0;
glutPostRedisplay();
break; }
}
void select3(int selection) {
switch (selection) {
case 10 : disc = 3;
np = np%disc;
glutPostRedisplay();
break;
case 11 : disc = 10;
np = np%disc;
glutPostRedisplay();
break;
case 12 : disc = 30;
np = np%disc;
glutPostRedisplay();
break;
case 13 : disc = 50;
np = np%disc;
glutPostRedisplay();
break;
case 14 : disc = 100;
np = np%disc;
glutPostRedisplay();
break;
case 6 : disc++;
glutPostRedisplay();
break;
case 7 : disc--;
if ( disc < 3 )
disc = 3;
np = np%disc;
glutPostRedisplay();
break; }
}
void select(int selection) {
switch (selection) {
case 0 : exit(0); }
}
void creationMenu(void) {
int menu1 = glutCreateMenu(select1);
glutAddMenuEntry("NRUBS",1);
glutAddMenuEntry("Catmull Rom",2);
glutAddMenuEntry("Bezier",3);
int menu2 = glutCreateMenu(select2);
glutAddMenuEntry("Changer point",4);
glutAddMenuEntry("Fil de fer",5);
glutAddMenuEntry("Points",6);
glutAddMenuEntry("Fil de fer et points",7);
glutAddMenuEntry("Une tangente",8);
glutAddMenuEntry("Toutes les tangentes",9);
int menu3 = glutCreateMenu(select3);
glutAddMenuEntry("3",10);
glutAddMenuEntry("10",11);
glutAddMenuEntry("30",12);
glutAddMenuEntry("50",13);
glutAddMenuEntry("100",14);
glutAddMenuEntry("Augmenter",6);
glutAddMenuEntry("Reduire",7);
glutCreateMenu(select);
glutAddSubMenu("Matrice",menu1);
glutAddSubMenu("Affichage",menu2);
glutAddSubMenu("Discretisation",menu3);
glutAddMenuEntry("Quitter",0);
glutAttachMenu(GLUT_RIGHT_BUTTON);
}
int main(int argc,char **argv) {
pl.n = 4;
pl.p =(coord_3D *) &pts[0][0];
glutInit(&argc,argv);
glutInitDisplayMode(GLUT_RGBA|GLUT_DEPTH|GLUT_DOUBLE);
glutInitWindowSize(300,300);
glutInitWindowPosition(50,50);
glutCreateWindow("Courbe B-Spline avec tangentes");
init();
creationMenu();
setParametresOrthoBasique(-5.0,5.0,-5.0,5.0,-500.0,500.0);
setManipulateurDistance(1.0F);
glutReshapeFunc(reshapeOrthoBasique);
glutKeyboardFunc(key);
glutSpecialFunc(special);
glutMotionFunc(motionBasique);
glutMouseFunc(sourisBasique);
glutDisplayFunc(display);
glutMainLoop();
return(0);
}
RETOUR