voila ce que l'on peut faire avec seulement des triangles !
Source / Exemple :
#include <windows.h>
#include <gl/gl.h>
#include <gl/glu.h>
#include <gl/glaux.h>
#include <math.h>
//------------------------------------------------------------
#define PI 3.1415926535897932384626433832795
//------------------------------------------------------------
#define EPSILON 0.001
#define TIME_PER_TURN 10
//------------------------------------------------------------
#define MY_TORUS 1
//------------------------------------------------------------
void RePaint(HDC DC,double zoom,double theta,double phi)
{
static double q;
if(TRUE)
{
static DWORD oldCall;
DWORD t;
t = GetTickCount();
q += (360.*((double)(t - oldCall)))/(1000.*((double)TIME_PER_TURN));
oldCall = t;
}
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
glMatrixMode(GL_MODELVIEW);
glLoadIdentity();
glEnable(GL_DEPTH_TEST);
glEnable(GL_TEXTURE_2D);
glPushAttrib(GL_CURRENT_BIT);
// position de l'oeil
gluLookAt(zoom*cos(theta)*cos(phi),zoom*sin(theta)*cos(phi),zoom*sin(phi),0,0,0,cos(theta-PI)*cos(PI/2.-phi),sin(theta-PI)*cos(PI/2.-phi),sin(PI/2.-phi));
// les axes
if(TRUE)
{
glColor3d(1.,1.,1.); // blanc
glBegin(GL_LINES);
glVertex3d(-500,0,0);
glVertex3d(+500,0,0);
glVertex3d(0,-500,0);
glVertex3d(0,+500,0);
glVertex3d(0,0,-500);
glVertex3d(0,0,+500);
glEnd();
}
// les torus
if(TRUE)
{
glPushMatrix();
glCallList(MY_TORUS);
glPopMatrix();
}
// fin du dessinage
glPopAttrib();
glPopMatrix();
SwapBuffers(DC);
}
//------------------------------------------------------------
void InitPixelFormat(HDC hdc)
{
PIXELFORMATDESCRIPTOR pfd = {sizeof (PIXELFORMATDESCRIPTOR),1,PFD_SUPPORT_OPENGL | PFD_TYPE_RGBA | PFD_DRAW_TO_WINDOW | PFD_DOUBLEBUFFER,16,0,0,0,0,0,0,0,0,0,0,0,0,0,16,0,0,0,0,0,0,0};
SetPixelFormat(hdc,ChoosePixelFormat(hdc,&pfd),&pfd);
}
//------------------------------------------------------------
static void CalcPointTorus(double R,double r,double t,double a,double z)
{
glVertex3d(
(R + r*cos(a))*cos(t),
(R + r*cos(a))*sin(t),
z+r*sin(a)
);
}
//------------------------------------------------------------
// creer un torus d'axes z de grand rayon <R> et de petit rayon <r>
// le commencement de fait a z=0 et la fin a z=<dz>
void MyCreateTorus(double R,double r,int nVertex,int slices,double angleBegin,double angleEnd,double dz)
{
double theta,stepTheta,oldTheta;
double stepAlpha;
double z,oldZ,stepDz;
stepTheta = (angleEnd - angleBegin)/((double)nVertex);
stepAlpha = 2.*PI/slices;
stepDz = dz/((double)nVertex);
glBegin(GL_TRIANGLE_STRIP);
oldTheta = angleBegin;
oldZ = 0.;
z = stepDz;
for(theta=angleBegin+stepTheta;theta<=angleEnd+EPSILON;theta+=stepTheta)
{
double a,b; // alpha,beta
for(a=0.,b=0.5*stepAlpha;a<=2.*PI+EPSILON;a+=stepAlpha,b+=stepAlpha)
{
CalcPointTorus(R,r,oldTheta ,b,oldZ);
CalcPointTorus(R,r,theta ,a,z);
}
oldTheta = theta;
oldZ = z;
z += stepDz;
}
glEnd();
}
//------------------------------------------------------------
LRESULT CALLBACK WindowProc(HWND hwnd,UINT iMsg,WPARAM wParam,LPARAM lParam)
{
static HDC hdc;
static HGLRC hrc;
static int cxClient,cyClient;
static double zoom,theta,phi,_theta,_phi;
static BOOL isMouseDown;
static int xMouseStart,yMouseStart;
// traitement des messages
switch (iMsg)
{
case WM_CREATE:
{
hdc=GetDC(hwnd);
InitPixelFormat(hdc);
hrc = wglCreateContext(hdc);
wglMakeCurrent(hdc,hrc);
glEnable(GL_DEPTH_TEST);
glClearColor(0,0,0,0);
// creation des torus
if(TRUE)
{
// support
glNewList(MY_TORUS,GL_COMPILE);
// premier figure
glColor3d(1.,1.,0.1); // jaune
glPushMatrix();
MyCreateTorus(125.,4.,32,10,0.,2.*PI,0.);
glRotated(90.,1.,0.,0.);
MyCreateTorus(125.,4.,32,10,0.,2.*PI,0.);
glRotated(90.,0.,1.,0.);
MyCreateTorus(125.,4.,32,10,0.,2.*PI,0.);
glPopMatrix();
glColor3d(0.1,1.,0.1); // vert
glPushMatrix();
glTranslated(250.,0.,-250.);
MyCreateTorus(125.,4.,200,10,0.,8.*PI,500.);
glPopMatrix();
glColor3d(1.,0.1,0.1); // rouge
glPushMatrix();
MyCreateTorus(500.,4.,32,10,0.,PI,0.);
glRotated(120.,1.,0.,0.);
MyCreateTorus(500.,4.,32,10,0.,PI,0.);
glRotated(120.,1.,0.,0.);
MyCreateTorus(500.,4.,32,10,0.,PI,0.);
glPopMatrix();
glColor3d(0.1,0.1,1.); // bleu
glPushMatrix();
glTranslated(-250.,0.,0.);
glPushMatrix();
glTranslated(0.,0.,-100.);
MyCreateTorus(100.,4.,32,10,0.,2.*PI,0.);
glTranslated(0.,0.,200.);
MyCreateTorus(100.,4.,32,10,0.,2.*PI,0.);
glPopMatrix();
glRotated(90.,1.,0.,0.);
glPushMatrix();
glTranslated(0.,0.,-100.);
MyCreateTorus(100.,4.,32,10,0.,2.*PI,0.);
glTranslated(0.,0.,200.);
MyCreateTorus(100.,4.,32,10,0.,2.*PI,0.);
glPopMatrix();
glRotated(90.,0.,1.,0.);
glPushMatrix();
glTranslated(0.,0.,-100.);
MyCreateTorus(100.,4.,32,10,0.,2.*PI,0.);
glTranslated(0.,0.,200.);
MyCreateTorus(100.,4.,32,10,0.,2.*PI,0.);
glPopMatrix();
glPopMatrix();
glEndList();
}
zoom = 1400.;
// on veut les coordonnees de l'ecran (meme direction)
theta = -PI/2;
phi = -PI/2;
break;
}
case WM_SIZE:
{
double r;
cxClient = LOWORD(lParam); cxClient = (cxClient ? cxClient : 1);
cyClient = HIWORD(lParam); cyClient = (cyClient ? cyClient : 1);
glViewport(0,0,cxClient,cyClient);
glMatrixMode(GL_PROJECTION);
glLoadIdentity();
if(1 > (r = (float)(cxClient)/(float)(cyClient)))
{
//r = (float)(cyClient)/(float)(cxClient);
}
gluPerspective(45.,r,100.,100000.);
break;
}
case WM_CHAR:
{
switch((char)wParam)
{
case 'a':
{
zoom -= 10.;
return 0;
}
case 'q':
{
zoom += 10.;
return 0;
}
}
break;
}
case WM_LBUTTONDOWN:
{
xMouseStart = LOWORD(lParam);
yMouseStart = HIWORD(lParam);
// on sauvegarde les angles
_theta = theta;
_phi = phi;
isMouseDown = TRUE;
SetCapture(hwnd);
return 0;
}
case WM_LBUTTONUP:
{
if(isMouseDown)
{
ReleaseCapture();
isMouseDown = FALSE;
}
return 0;
}
case WM_MOUSEMOVE:
{
if(isMouseDown)
{
int x,y;
x = (int) (__int16) LOWORD(lParam);
y = (int) (__int16) HIWORD(lParam);
// attention, comme les coordonnees en Y
// client sont inversees (de haut en bas)
// il faut faire -, et non +
// comme pout le X
theta = _theta + ((xMouseStart - x)*2*PI)/(double)cxClient;
phi = _phi - ((yMouseStart - y)*2*PI)/(double)cyClient;
}
return 0;
}
case WM_PAINT:
{
RePaint(hdc,zoom,theta,phi);
return 0;
}
case WM_DESTROY:
{
glDeleteLists(MY_TORUS,1);
wglMakeCurrent(NULL, NULL);
wglDeleteContext(hrc);
ReleaseDC(hwnd,hdc);
PostQuitMessage(0);
break;
}
}
return DefWindowProc(hwnd,iMsg,wParam,lParam);
}
//------------------------------------------------------------
int WINAPI WinMain (HINSTANCE hInstance, HINSTANCE hPrevInstance, LPSTR lpCmdLine, int CmdShow)
{
WNDCLASS wc;
MSG msg;
HWND hWnd;
wc.style = CS_OWNDC;
wc.lpfnWndProc = WindowProc;
wc.cbClsExtra = 0;
wc.cbWndExtra = 0;
wc.hInstance = hInstance;
wc.hIcon = LoadIcon(NULL, IDI_APPLICATION);
wc.hCursor = LoadCursor(NULL, IDC_ARROW);
wc.hbrBackground = NULL;
wc.lpszMenuName = NULL;
wc.lpszClassName = "jcdTorus";
RegisterClass(&wc);
hWnd = CreateWindow("jcdTorus","Objet 3D en OpenGL : Torus",
WS_OVERLAPPEDWINDOW | WS_VISIBLE,
CW_USEDEFAULT,CW_USEDEFAULT,CW_USEDEFAULT,CW_USEDEFAULT,
NULL,NULL,hInstance,NULL
);
ShowWindow(hWnd,SW_SHOWMAXIMIZED);
UpdateWindow(hWnd);
while(GetMessage(&msg,NULL,0,0))
{
TranslateMessage(&msg);
DispatchMessage(&msg);
}
return 0;
}
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