OSG_BASE_DLLMAPPING bool intersect(const BoxVolume &box, const SphereVolume &sphere) { // source: // J. Arvo. A simple method for box-sphere intersection testing. // In A. Glassner, editor, Graphics Gems, pp. 335-339, // Academic Press, Boston, MA, 1990 bool retCode; if(box.isEmpty() == true || sphere.isEmpty() == true) { retCode = false; } else if(box.isInfinite() == true || sphere.isInfinite() == true) { retCode = true; } else { Real32 s; Real32 d = 0.f; //find the square of the distance from the sphere to the box for(Int32 i = 0; i < 3; i++) { if(sphere.getCenter()[i] < box.getMin()[i]) { s = sphere.getCenter()[i] - box.getMin()[i]; d += s * s; } else if(sphere.getCenter()[i] > box.getMax()[i]) { s = sphere.getCenter()[i] - box.getMax()[i]; d += s * s; } } retCode = (d <= (sphere.getRadius() * sphere.getRadius())); } return retCode; }
bool Line::intersect(const SphereVolume &sphere, Real &enter, Real &exit ) const { Vec3r v; Pnt3r center; sphere.getCenter(center); Real radius; Real h; Real b; Real d; Real t1; Real t2; radius = sphere.getRadius(); v = center - _pos; h = (v.dot(v))-(radius * radius); b = (v.dot(_dir)); if(h >= 0.f && b <= 0.f) return false; d = b * b - h; if(d < 0.f) return false; d = osgSqrt(d); t1 = b - d; // if (t1 > 1) // return false; t2 = b + d; if( t1 < TypeTraits<Real>::getDefaultEps() ) { if( t2 < TypeTraits<Real>::getDefaultEps() /*|| t2 > 1*/) { return false; } } enter = t1; exit = t2; return true; }
OSG_BASE_DLLMAPPING bool intersect(const SphereVolume &sphere, const FrustumVolume &frustum) { const Plane *frust = frustum.getPlanes(); //check the center of the sphere with each plane of the frustum for(Int32 i = 0; i < 6; i++) { if(frust[i].distance(sphere.getCenter()) < -sphere.getRadius()) return false; } return true; }
OSG_BASE_DLLMAPPING bool intersect(const SphereVolume &sphere1, const SphereVolume &sphere2) { bool retCode = false; Real32 dist = (sphere2.getCenter() - sphere1.getCenter()).length(); if(sphere1.isEmpty() || sphere2.isEmpty()) { retCode = false; } else if(sphere1.isInfinite() || sphere2.isInfinite()) { retCode = true; } else if(dist < sphere1.getRadius() + sphere2.getRadius()) { // the distance between the center of the 2 spheres is bigger // than the sum of the 2 radiuses retCode = true; } return retCode; }
OSG_BASE_DLLMAPPING bool intersect(const SphereVolume &sphere, const CylinderVolume &cylinder) { bool retCode; Pnt3f apos; Vec3f adir; cylinder.getAxis(apos, adir); if(sphere.isEmpty() || cylinder.isEmpty()) { retCode = false; } else if(sphere.isInfinite() || cylinder.isInfinite()) { retCode = true; } else { Real32 d = 0.f, s1 = 0.f, s2 = 0.f; Pnt3f c; Vec3f u, u1, u2; //get the distance between the upper and lower point of the cylinder // and the sphere center s1 = (apos - sphere.getCenter()).length(); s2 = (apos + adir - sphere.getCenter()).length(); if ((s1<=DBL_EPSILON) || (s2<=DBL_EPSILON)) return true; //check the smallest distance and set the vector coordinate if(s1 <= s2) { d = s1; c = apos; } else { d = s2; c = apos + adir; } // decompose the vector in u1 and u2 which are parallel and // perpendicular to the cylinder axis respectively u = ((d - sphere.getRadius()) / d) * (c - sphere.getCenter()); u1 = (u[0] * adir[0] + u[1] * adir[1] + u[2] * adir[2]) / (adir.length() * adir.length()) * adir; u2 = u - u1; if(u2.length() <= 10e-6) { retCode = (d <= sphere.getRadius()); } else { retCode = (u2.length() <= cylinder.getRadius()); } } return retCode; }
OSG_BASE_DLLMAPPING void extend(CylinderVolume &srcVol, const SphereVolume &vol) { Pnt3f min, max, min1, max1, min2, max2, apos; Vec2f p; Vec3f adir; Real32 r; if((!srcVol.isValid () && !srcVol.isEmpty()) || srcVol.isInfinite() || srcVol.isStatic () ) { return; } if(!vol.isValid()) return; if(srcVol.isEmpty()) { if(vol.isEmpty()) { return; } else { r = vol.getRadius(); apos = Pnt3f(vol.getCenter().x() - r, vol.getCenter().y() - r, vol.getCenter().z() - r); adir = Vec3f(vol.getCenter().x() + r - apos.x(), vol.getCenter().y() + r - apos.y(), vol.getCenter().z() + r - apos.z()); srcVol.setValue(apos, adir, r); return; } } else if(vol.isEmpty()) { return; } srcVol.getBounds(min, max); vol .getBounds(min1, max1); min2 = Pnt3f(osgMin(min.x(), min1.x()), osgMin(min.y(), min1.y()), osgMin(min.z(), min1.z())); max2 = Pnt3f(osgMax(max.x(), max1.x()), osgMax(max.y(), max1.y()), osgMax(max.z(), max1.z())); p = Vec2f(max2.x() - min2.x(), max2.y() - min2.y()); r = (p.length()) * 0.5f; adir = Vec3f(0.f, 0.f, max2.z() - min2.z()); apos = Pnt3f(p.x(), p.y(), min2.z()); srcVol.setValue(apos, adir, r); return; }