/* * Copyright (c) 2012-2014 Daniele Bartolini and individual contributors. * License: https://github.com/taylor001/crown/blob/master/LICENSE */ #include "intersection.h" #include "aabb.h" #include "plane.h" #include "sphere.h" #include "vector3.h" namespace crown { /// Returns the distance along ray (from, dir) to intersection point with plane @a p. /// -1.0f if no collision. float ray_plane_intersection(const Vector3& from, const Vector3& dir, const Plane& p) { float nd = vector3::dot(dir, p.n); float orpn = vector3::dot(from, p.n); float dist = -1.0f; if (nd < 0.0f) dist = (-p.d - orpn) / nd; return dist > 0.0f ? dist : -1.0f; } /// Returns the distance along ray (from, dir) to intersection point with sphere @a s. /// -1.0f if no collision. float ray_sphere_intersection(const Vector3& from, const Vector3& dir, const Sphere& s) { Vector3 v = s.c - from; float b = vector3::dot(v, dir); float det = (s.r * s.r) - vector3::dot(v, v) + (b * b); if (det < 0.0 || b < s.r) { return -1.0f; } return b - sqrt(det); } // http://www.opengl-tutorial.org/miscellaneous/clicking-on-objects/picking-with-custom-ray-obb-function/ float ray_oobb_intersection(const Vector3& from, const Vector3& dir, const OBB& obb) { using namespace vector3; float tmin = 0.0f; float tmax = 100000.0f; Vector3 obb_pos(obb.tm.t.x, obb.tm.t.y, obb.tm.t.z); Vector3 delta = obb_pos - from; { const Vector3 xaxis(obb.tm.x.x, obb.tm.x.y, obb.tm.x.z); float e = dot(xaxis, delta); float f = dot(dir, xaxis); if (fabs(f) > 0.001f) { float t1 = (e+obb.aabb.min.x)/f; float t2 = (e+obb.aabb.max.x)/f; if (t1>t2){ float w=t1;t1=t2;t2=w; } if (t2 < tmax) tmax = t2; if (t1 > tmin) tmin = t1; if (tmax < tmin) return -1.0f; } else { if(-e+obb.aabb.min.x > 0.0f || -e+obb.aabb.max.x < 0.0f) return -1.0f; } } { const Vector3 yaxis(obb.tm.y.x, obb.tm.y.y, obb.tm.y.z); float e = dot(yaxis, delta); float f = dot(dir, yaxis); if (fabs(f) > 0.001f){ float t1 = (e+obb.aabb.min.y)/f; float t2 = (e+obb.aabb.max.y)/f; if (t1>t2){float w=t1;t1=t2;t2=w;} if (t2 < tmax) tmax = t2; if (t1 > tmin) tmin = t1; if (tmin > tmax) return -1.0f; } else { if(-e+obb.aabb.min.y > 0.0f || -e+obb.aabb.max.y < 0.0f) return -1.0f; } } { const Vector3 zaxis(obb.tm.z.x, obb.tm.z.y, obb.tm.z.z); float e = dot(zaxis, delta); float f = dot(dir, zaxis); if (fabs(f) > 0.001f){ float t1 = (e+obb.aabb.min.z)/f; float t2 = (e+obb.aabb.max.z)/f; if (t1>t2){float w=t1;t1=t2;t2=w;} if (t2 < tmax) tmax = t2; if (t1 > tmin) tmin = t1; if (tmin > tmax) return -1.0f; } else { if(-e+obb.aabb.min.z > 0.0f || -e+obb.aabb.max.z < 0.0f) return -1.0f; } } return tmin; } bool plane_3_intersection(const Plane& p1, const Plane& p2, const Plane& p3, Vector3& ip) { const Vector3& n1 = p1.n; const Vector3& n2 = p2.n; const Vector3& n3 = p3.n; float den = -vector3::dot(vector3::cross(n1, n2), n3); if (equals(den, (float)0.0)) { return false; } Vector3 res = p1.d * vector3::cross(n2, n3) + p2.d * vector3::cross(n3, n1) + p3.d * vector3::cross(n1, n2); ip = res / den; return true; } bool frustum_sphere_intersection(const Frustum& f, const Sphere& s) { if (plane::distance_to_point(f.left, s.c) < -s.r || plane::distance_to_point(f.right, s.c) < -s.r) { return false; } if (plane::distance_to_point(f.bottom, s.c) < -s.r || plane::distance_to_point(f.top, s.c) < -s.r) { return false; } if (plane::distance_to_point(f.near, s.c) < -s.r || plane::distance_to_point(f.far, s.c) < -s.r) { return false; } return true; } bool frustum_box_intersection(const Frustum& f, const AABB& b) { uint8_t out; out = 0; if (plane::distance_to_point(f.left, aabb::vertex(b, 0)) < 0.0) out++; if (plane::distance_to_point(f.left, aabb::vertex(b, 1)) < 0.0) out++; if (plane::distance_to_point(f.left, aabb::vertex(b, 2)) < 0.0) out++; if (plane::distance_to_point(f.left, aabb::vertex(b, 3)) < 0.0) out++; if (plane::distance_to_point(f.left, aabb::vertex(b, 4)) < 0.0) out++; if (plane::distance_to_point(f.left, aabb::vertex(b, 5)) < 0.0) out++; if (plane::distance_to_point(f.left, aabb::vertex(b, 6)) < 0.0) out++; if (plane::distance_to_point(f.left, aabb::vertex(b, 7)) < 0.0) out++; // If all vertices are outside one face, then the box doesn't intersect the frustum if (out == 8) return false; out = 0; if (plane::distance_to_point(f.right, aabb::vertex(b, 0)) < 0.0) out++; if (plane::distance_to_point(f.right, aabb::vertex(b, 1)) < 0.0) out++; if (plane::distance_to_point(f.right, aabb::vertex(b, 2)) < 0.0) out++; if (plane::distance_to_point(f.right, aabb::vertex(b, 3)) < 0.0) out++; if (plane::distance_to_point(f.right, aabb::vertex(b, 4)) < 0.0) out++; if (plane::distance_to_point(f.right, aabb::vertex(b, 5)) < 0.0) out++; if (plane::distance_to_point(f.right, aabb::vertex(b, 6)) < 0.0) out++; if (plane::distance_to_point(f.right, aabb::vertex(b, 7)) < 0.0) out++; if (out == 8) return false; out = 0; if (plane::distance_to_point(f.bottom, aabb::vertex(b, 0)) < 0.0) out++; if (plane::distance_to_point(f.bottom, aabb::vertex(b, 1)) < 0.0) out++; if (plane::distance_to_point(f.bottom, aabb::vertex(b, 2)) < 0.0) out++; if (plane::distance_to_point(f.bottom, aabb::vertex(b, 3)) < 0.0) out++; if (plane::distance_to_point(f.bottom, aabb::vertex(b, 4)) < 0.0) out++; if (plane::distance_to_point(f.bottom, aabb::vertex(b, 5)) < 0.0) out++; if (plane::distance_to_point(f.bottom, aabb::vertex(b, 6)) < 0.0) out++; if (plane::distance_to_point(f.bottom, aabb::vertex(b, 7)) < 0.0) out++; if (out == 8) return false; out = 0; if (plane::distance_to_point(f.top, aabb::vertex(b, 0)) < 0.0) out++; if (plane::distance_to_point(f.top, aabb::vertex(b, 1)) < 0.0) out++; if (plane::distance_to_point(f.top, aabb::vertex(b, 2)) < 0.0) out++; if (plane::distance_to_point(f.top, aabb::vertex(b, 3)) < 0.0) out++; if (plane::distance_to_point(f.top, aabb::vertex(b, 4)) < 0.0) out++; if (plane::distance_to_point(f.top, aabb::vertex(b, 5)) < 0.0) out++; if (plane::distance_to_point(f.top, aabb::vertex(b, 6)) < 0.0) out++; if (plane::distance_to_point(f.top, aabb::vertex(b, 7)) < 0.0) out++; if (out == 8) return false; out = 0; if (plane::distance_to_point(f.near, aabb::vertex(b, 0)) < 0.0) out++; if (plane::distance_to_point(f.near, aabb::vertex(b, 1)) < 0.0) out++; if (plane::distance_to_point(f.near, aabb::vertex(b, 2)) < 0.0) out++; if (plane::distance_to_point(f.near, aabb::vertex(b, 3)) < 0.0) out++; if (plane::distance_to_point(f.near, aabb::vertex(b, 4)) < 0.0) out++; if (plane::distance_to_point(f.near, aabb::vertex(b, 5)) < 0.0) out++; if (plane::distance_to_point(f.near, aabb::vertex(b, 6)) < 0.0) out++; if (plane::distance_to_point(f.near, aabb::vertex(b, 7)) < 0.0) out++; if (out == 8) return false; out = 0; if (plane::distance_to_point(f.far, aabb::vertex(b, 0)) < 0.0) out++; if (plane::distance_to_point(f.far, aabb::vertex(b, 1)) < 0.0) out++; if (plane::distance_to_point(f.far, aabb::vertex(b, 2)) < 0.0) out++; if (plane::distance_to_point(f.far, aabb::vertex(b, 3)) < 0.0) out++; if (plane::distance_to_point(f.far, aabb::vertex(b, 4)) < 0.0) out++; if (plane::distance_to_point(f.far, aabb::vertex(b, 5)) < 0.0) out++; if (plane::distance_to_point(f.far, aabb::vertex(b, 6)) < 0.0) out++; if (plane::distance_to_point(f.far, aabb::vertex(b, 7)) < 0.0) out++; if (out == 8) return false; // If we are here, it is because either the box intersects or it is contained in the frustum return true; } } // namespace crown