Perché la mia illuminazione diffusa / speculare non funziona?

Question

Ho un programma OpenGL in esecuzione, e visualizza la geometria, ma è tutto "appartamento", un tono grigio, senza ombreggiatura diffusa o riflessione speculare:

Nella foto sono tre tori, ciascuna fatta di strisce quad. Dovremmo vedere l'ombreggiatura, ma non lo facciamo. Cosa sto facendo male?

Ecco il codice in cui impostare i vertici e le normali (draw_torus() viene chiamato per creare un elenco di visualizzazione):

/* WrapTorus, adapted from
    http://www.math.ucsd.edu/~sbuss/MathCG/OpenGLsoft/WrapTorus/WrapTorus.html
    by Sam Buss */

/*
 * Issue vertex command for segment number j of wrap number i.
 * Normal added by Lars Huttar.
 * slices1 = numWraps; slices2 = numPerWrap.
 */
void putVert(float i, float j, float slices1, float slices2, float majR, float minR) {
    float wrapFrac = j / slices2;
    /* phi is rotation about the circle of revolution */
    float phi = PI2 * wrapFrac;
    /* theta is rotation about the origin, in the xz plane. */
    float theta = PI2 * (i + wrapFrac) / slices1;
    float y = minR * (float)sin(phi);
    float r = majR + minR * (float)cos(phi);
    float x = (float)sin(theta) * r;
    float z = (float)cos(theta) * r;
    /* normal vector points to (x,y,z) from: */
    float xb = (float)sin(theta) * majR;
    float zb = (float)cos(theta) * majR;
    glNormal3f(x - xb, y, z - zb);
    glVertex3f(x, y, z);
}

static void draw_torus(int numPerWrap, int numWraps, float majR, float minR) {
    int i, j;
    glBegin( GL_QUAD_STRIP );
    for (i=0; i < numWraps; i++ ) {
        for (j=0; j < numPerWrap; j++) {
            putVert((float)i, (float)j, (float)numWraps, (float)numPerWrap, majR, minR);
            putVert((float)(i + 1), (float)j, (float)numWraps, (float)numPerWrap, majR, minR);
        }
    }
    putVert(0.0, 0.0, (float)numWraps, (float)numPerWrap, majR, minR);
    putVert(1.0, 0.0, (float)numWraps, (float)numPerWrap, majR, minR);
    glEnd();
}

.

C'è qualcosa di sbagliato nell'ordine dei vertici?

Ecco la parte della funzione Init in cui viene costruito l'elenco di visualizzazione:

GLfloat white[4] = { 1.0, 1.0, 1.0, 1.0 };
    GLfloat color[4] = { 0.5, 0.6, 0.7, 1.0 };
    ...

glShadeModel(GL_SMOOTH);

torusDL = glGenLists (1);
glNewList(torusDL, GL_COMPILE);
setMaterial(color, white, 100);
draw_torus(8, 45, 1.0, 0.05);
glEndList();

.

dove SetMateriale () semplicemente fa:

static void setMaterial(const GLfloat color[3], const GLfloat hlite[3], int shininess) {
    glColor3fv(color);
    glMaterialfv(GL_FRONT, GL_SPECULAR, hlite);
    glMaterialfv(GL_FRONT, GL_AMBIENT_AND_DIFFUSE, color);
    glMateriali(GL_FRONT, GL_SHININESS, shininess); /* [0,128] */
}

.

Qui è l'illuminazione che ha anche fatto durante l'inizializzazione:

  GLfloat pos[4] = {0.4, 0.2, 0.4, 0.0};
  GLfloat amb[4] = {0.2, 0.2, 0.2, 1.0};
  GLfloat dif[4] = {1.0, 1.0, 1.0, 1.0};
  GLfloat spc[4] = {1.0, 1.0, 1.0, 1.0};
  GLfloat color[4] = {0.20, 0.20, 0.20, 1.00};
  GLfloat spec[4]  = {0.30, 0.30, 0.30, 1.00};
  GLfloat shiny    = 8.0;

  glEnable(GL_LIGHTING);
  glEnable(GL_LIGHT0);
  glEnable(GL_DEPTH_TEST);
  glEnable(GL_CULL_FACE);

  glLightfv(GL_LIGHT0, GL_POSITION, pos);
  glLightfv(GL_LIGHT0, GL_AMBIENT,  amb);
  glLightfv(GL_LIGHT0, GL_DIFFUSE,  dif);
  glLightfv(GL_LIGHT0, GL_SPECULAR, spc);

  glMaterialfv (GL_FRONT_AND_BACK, GL_AMBIENT_AND_DIFFUSE, color);
  glMaterialfv (GL_FRONT_AND_BACK, GL_SPECULAR,            spec);
  glMaterialf  (GL_FRONT_AND_BACK, GL_SHININESS,           shiny);

.

Ecco dove viene chiamato l'elenco di visualizzazione, nella funzione Disegna:

glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);

glPushMatrix();
glLoadIdentity();       

glScalef(3.5, 3.5, 3.5);

for (i = 0; i < ac->nrings; i++) {
    glScalef(0.8, 0.8, 0.8);
    glRotatef(...);
    glCallList(torusDL);
}

glFlush();
glPopMatrix();
glXSwapBuffers(dpy, window);

.

Il file sorgente completo per questo "GLX Hack" è qui . Nel caso in cui fa la differenza, questo codice è nel contesto di xscreensaver .

Answer 1

Lars, as you've seen, glEnable(GL_NORMALIZE) normalizes (surprise) the normal vectors prior to the transformations used for lighting calculations (in fixed-function pipelines). These calculations rely on unit length normals for correct results.

It's worth pointing out that the transforms applied to normal vectors are not the same as the transforms applied to vertex geometry. The OpenGL 2.1 specification describes the transform, as do many other resources. As a vector, a normal has the homogeneous representation: [nx, ny, nz, 0] - a point at 'infinity', and a mathematically elegant way to unify matrix and 4-vector operations in the GL pipeline.

Of course, you could perform this normalization yourself, and it may be more efficient to do so, as your torus geometry is only generated once for a pre-compiled display list:

nx = x - b, ny = y, nz = z - zb;
nl = 1.0f / sqrtf(nx * nx + ny * ny + nz * nz);
glNormal3f(nx * nl, ny * nl, nz * nl);

Be sure to check (nl) for division by zero (or some epsilon), if that's a possibility.