HW_FORCE_INLINE const mat3x4 scale3x4(const vec3& scale)
{
mat3x4 m;
m.rows[0] = vec4(scale.getX(), 0.f, 0.f, 0.f);
m.rows[1] = vec4(0.f, scale.getY(), 0.f, 0.f);
m.rows[2] = vec4(0.f, 0.f, scale.getZ(), 0.f);
return m;
}
HW_FORCE_INLINE const mat3x4 translate3x4(const vec3& v)
{
mat3x4 m(mat_identity);
// TODO: Optimize
m.rows[0].setW(v.getX());
m.rows[1].setW(v.getY());
m.rows[2].setW(v.getZ());
return m;
}
void renderBillboard(const vec3& pUp, const vec3& pRight, const World3& pWorld, const vec3& pPosition, const vec3& pColor, real pAlpha, real pSize) {
const vec3 up = pUp * pSize;
const vec3 right = pRight * pSize;
const vec3 top = pPosition + up;
const vec3 bottom = pPosition -up;
glColor4f(pColor.getX(), pColor.getY(), pColor.getZ(), pAlpha);
glTexCoord2f(1,1); glVertex(top + right);
glTexCoord2f(0,1); glVertex(top - right);
glTexCoord2f(0,0); glVertex(bottom - right);
glTexCoord2f(1,0); glVertex(bottom + right);
}
int main()
{
// Test: Cubic Bezier Curve
{
const vec3 input[] = {
vec3(0.0f),
vec3(1.0f, 10.0f, 0.0f),
vec3(2.0f, -10.0f, 0.0f),
vec3(3.0f, 0.0f, 0.0f)
};
for(F32 t = 0.0f; t<=1.0f; t+=0.1f){
const vec3 vt = bezier_curve(4, input, t);
const vec3 vd = bezier_curve_der(4, input, t);
if(!_test(vt.getZ(), 0.0f))
return 1;
if(!_test(vt.getX(), 3.0f*t))
return 1;
if(!_test(vt.getY(), 3.0f*t*(1-t)*(1-2.0f*t)*10.0f))
return 1;
if(!_test(vd.getX(), 3.0f))
return 1;
if(!_test(vd.getZ(), 0.0f))
return 1;
if(!_test(vd.getY(), 30.0f*(1.0f-6.0f*t+6.0f*t*t)))
return 1;
}
}
// Test: Cubic Bezier Patch
{
const vec3 input[4][3] = {
{
vec3(0.0f, 0.0f, 0.0f),
vec3(0.0f, 1.0f, 0.0f),
vec3(0.0f, 2.0f, 0.0f)
},
{
vec3(1.0f, 0.0f, 0.0f),
vec3(1.0f, 1.0f, 0.0f),
vec3(1.0f, 2.0f, 0.0f)
},
{
vec3(2.0f, 0.0f, 0.0f),
vec3(2.0f, 1.0f, 0.0f),
vec3(2.0f, 2.0f, 0.0f)
},
{
vec3(3.0f, 0.0f, 0.0f),
vec3(3.0f, 1.0f, 0.0f),
vec3(3.0f, 2.0f, 0.0f)
}
};
for(F32 u = 0.0f; u<=1.0f; u+=0.1f)
for(F32 v = 0.0f; v<=1.0f; v+=0.1f){
const vec3 vt = bezier_patch(4, 3, (vec3*)input, u, v);
const vec3 vdv = bezier_patch_dv(4, 3, (vec3*)input, u, v);
const vec3 vdu = bezier_patch_du(4, 3, (vec3*)input, u, v);
const vec3 normal = normalize(cross(vdu, vdv));
if(!_test(vt.getZ(), 0.0f))
return 1;
if(!_test(vt.getX(), u*3.0f))
return 1;
if(!_test(vt.getY(), v*2.0f))
return 1;
if(!_test(vdv, vec3(0.0f, 2.0f, 0.0f)))
return 1;
if(!_test(vdu, vec3(3.0f, 0.0f, 0.0f)))
return 1;
if(!_test(normal, vec3(0.0f, 0.0f, 1.0f)))
return 1;
}
}
//
return 0;
}
vec3 getCrossProduct(const vec3& r) const { return vec3(getY()*r.getZ() - getZ()*r.getY(),
getZ()*r.getX() - getX()*r.getZ(),
getX()*r.getY() - getY()*r.getX()); }
void operator-=(const vec3& vec) { setX(getX()-vec.getX()); setY(getY()-vec.getY()); setZ(getZ()-vec.getZ()); }
