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author | unknown <paulx161@umn.edu> | 2021-02-03 14:22:28 -0600 |
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committer | unknown <paulx161@umn.edu> | 2021-02-03 14:22:28 -0600 |
commit | 9b83919815f6a6ce5d73da1c28483970d0ca5589 (patch) | |
tree | 4558864445dccc1605e5315e0bb11c46d2018da1 /dev/MinGfx/src/ray.cc | |
parent | Added worksheet and support code for assignment 2 (diff) | |
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added dev/MinGfx/
Diffstat (limited to '')
-rw-r--r-- | dev/MinGfx/src/ray.cc | 313 |
1 files changed, 313 insertions, 0 deletions
diff --git a/dev/MinGfx/src/ray.cc b/dev/MinGfx/src/ray.cc new file mode 100644 index 0000000..5d406ef --- /dev/null +++ b/dev/MinGfx/src/ray.cc @@ -0,0 +1,313 @@ +/* + Copyright (c) 2017,2018 Regents of the University of Minnesota. + All Rights Reserved. + See corresponding header file for details. + */ + +#include "ray.h" + +namespace mingfx { + + Ray::Ray() : p_(Point3::Origin()), d_(-Vector3::UnitZ()) { + } + + Ray::Ray(const Point3 &origin, const Vector3 &direction) : p_(origin), d_(direction) { + } + + Ray::~Ray() { + } + + + bool Ray::operator==(const Ray& other) const { + return (p_ == other.origin()) && (d_ == other.direction()); + } + + + bool Ray::operator!=(const Ray& other) const { + return (p_ != other.origin()) || (d_ != other.direction()); + } + + + float Ray::Length() const { + return d_.Length(); + } + + + Point3 Ray::origin() const { + return p_; + } + + + Vector3 Ray::direction() const { + return d_; + } + + + + bool Ray::IntersectPlane(const Point3 &planePt, const Vector3 &planeNormal, + float *iTime, Point3 *iPoint) const + { + float dot = planeNormal.Dot(d_); + + // return false if we would hit the back face of the plane + if (dot > 0.0) { + return false; + } + + // return false if the ray and plane are parallel + if (std::fabs(dot) < MINGFX_MATH_EPSILON) { + return false; + } + + float denom = planeNormal.Dot(d_); + if (std::abs(denom) > MINGFX_MATH_EPSILON) { + *iTime = (planePt - p_).Dot(planeNormal) / denom; + if (*iTime >= 0) { + *iPoint = p_ + (*iTime)*d_; + return true; + } + } + return false; + } + + + bool Ray::IntersectTriangle(const Point3 &vertex0, const Point3 &vertex1, const Point3 &vertex2, + float *iTime, Point3 *iPoint) const + { + // Implementation of the Möller–Trumbore intersection algorithm + // https://en.wikipedia.org/wiki/M%C3%B6ller%E2%80%93Trumbore_intersection_algorithm + + Vector3 edge1, edge2, h, s, q; + float a,f,u,v; + edge1 = vertex1 - vertex0; + edge2 = vertex2 - vertex0; + h = d_.Cross(edge2); + a = edge1.Dot(h); + if (a > -MINGFX_MATH_EPSILON && a < MINGFX_MATH_EPSILON) + return false; + f = 1.f/a; + s = p_ - vertex0; + u = f * (s.Dot(h)); + if (u < 0.0 || u > 1.f) + return false; + q = s.Cross(edge1); + v = f * d_.Dot(q); + if ((v < 0.0) || (u + v > 1.0f)) + return false; + // At this stage we can compute t to find out where the intersection point is on the line. + *iTime = f * edge2.Dot(q); + if (*iTime > MINGFX_MATH_EPSILON) { // ray intersection + *iPoint = p_ + d_ * (*iTime); + return true; + } + else // This means that there is a line intersection but not a ray intersection. + return false; + + + /*** + // A basic implementation + + // find the point of intersection of the ray with the plane of the triangle + Vector3 AB = B - A; + Vector3 AC = C - A; + Vector3 cross = AB.Cross(AC); + Vector3 N = cross.ToUnit(); + if (!IntersectPlane(A, N, iTime, iPoint)) { + return false; + } + + // check to see if iPoint lies within the triangle + Vector3 edge1 = B - A; + Vector3 v1 = *iPoint - A; + Vector3 check1 = edge1.Cross(v1); + if (N.Dot(check1) < 0.0) { + return false; + } + + Vector3 edge2 = C - B; + Vector3 v2 = *iPoint - B; + Vector3 check2 = edge2.Cross(v2); + if (N.Dot(check2) < 0.0) { + return false; + } + + Vector3 edge3 = A - C; + Vector3 v3 = *iPoint - C; + Vector3 check3 = edge3.Cross(v3); + if (N.Dot(check3) < 0.0) { + return false; + } + + return true; + ***/ + } + + + bool Ray::IntersectQuad(const Point3 &A, const Point3 &B, const Point3 &C, const Point3 &D, + float *iTime, Point3 *iPoint) const + { + if (IntersectTriangle(A, B, C, iTime, iPoint)) { + return true; + } + else if (IntersectTriangle(A, C, D, iTime, iPoint)) { + return true; + } + else { + return false; + } + } + + + bool Ray::IntersectSphere(const Point3 ¢er, float radius, + float *iTime, Point3 *iPoint) const + { + Point3 P = p_ + (Point3::Origin() - center); + Vector3 D = d_; + + // A = (Dx^2 + Dy^2 + Dz^2) + const double A = ((double)D[0]*D[0] + (double)D[1]*D[1] + (double)D[2]*D[2]); + + // B = (Px * Dx + Py * Dy + Pz * Dz) + const double B = ((double)P[0]*D[0] + (double)P[1]*D[1] + (double)P[2]*D[2]); + + // C = (Px^2 + Py^2 + Pz^2 - (sphere radius)^2) + const double C = ((double)P[0]*P[0] + (double)P[1]*P[1] + (double)P[2]*P[2] - (double)radius*radius); + + // Discriminant of quadratic = B^2 - A * C + double discriminant = B*B - A*C; + + if (discriminant < 0.0) { + return false; + } + else { + double discRoot = sqrt(discriminant); + double t1 = (-B - discRoot) / A; + double t2 = (-B + discRoot) / A; + bool hit1 = false; + bool hit2 = false; + if (t1 > MINGFX_MATH_EPSILON) { + hit1 = true; + *iTime = (float)t1; + } + if (t2 > MINGFX_MATH_EPSILON) { + hit2 = true; + *iTime = (float)t2; + } + if ((!hit1) && (!hit2)) { + return false; + } + if ((hit1) && (hit2)) { + if (t1 < t2) { + *iTime = (float)t1; + } + } + + *iPoint = p_ + (*iTime)*d_; + return true; + } + } + + + bool Ray::IntersectMesh(const Mesh &mesh, + float *iTime, Point3 *iPoint, int *iTriangleID) const + { + *iTime = -1.0; + for (int i=0; i<mesh.num_triangles(); i++) { + Point3 p; + float t; + std::vector<unsigned int> indices = mesh.read_triangle_indices_data(i); + if (IntersectTriangle(mesh.read_vertex_data(indices[0]), mesh.read_vertex_data(indices[1]), mesh.read_vertex_data(indices[2]), &t, &p)) { + if ((*iTime < 0.0) || (t < *iTime)) { + *iPoint = p; + *iTime = t; + *iTriangleID = i; + } + } + } + return (*iTime > 0.0); + } + + bool Ray::FastIntersectMesh(Mesh *mesh, float *iTime, + Point3 *iPoint, int *iTriangleID) const + { + std::vector<int> tri_ids = mesh->bvh_ptr()->IntersectAndReturnUserData(*this); + if (tri_ids.size()) { + *iTime = -1.0; + for (int i=0; i<tri_ids.size(); i++) { + Point3 p; + float t; + std::vector<unsigned int> indices = mesh->read_triangle_indices_data(tri_ids[i]); + if (IntersectTriangle(mesh->read_vertex_data(indices[0]), mesh->read_vertex_data(indices[1]), mesh->read_vertex_data(indices[2]), &t, &p)) { + if ((*iTime < 0.0) || (t < *iTime)) { + *iPoint = p; + *iTime = t; + *iTriangleID = i; + } + } + } + return (*iTime > 0.0); + } + else { + return false; + } + } + + + bool Ray::IntersectAABB(const AABB &box, float *iTime) const { + // https://gamedev.stackexchange.com/questions/18436/most-efficient-aabb-vs-ray-collision-algorithms + + Point3 origin = p_; + + Vector3 invdir = d_; + invdir[0] = 1.0f / invdir[0]; + invdir[1] = 1.0f / invdir[1]; + invdir[2] = 1.0f / invdir[2]; + + float t1 = (box.min()[0] - origin[0])*invdir[0]; + float t2 = (box.max()[0] - origin[0])*invdir[0]; + float t3 = (box.min()[1] - origin[1])*invdir[1]; + float t4 = (box.max()[1] - origin[1])*invdir[1]; + float t5 = (box.min()[2] - origin[2])*invdir[2]; + float t6 = (box.max()[2] - origin[2])*invdir[2]; + + float tmin = std::max(std::max(std::min(t1, t2), std::min(t3, t4)), std::min(t5, t6)); + float tmax = std::min(std::min(std::max(t1, t2), std::max(t3, t4)), std::max(t5, t6)); + + // if tmax < 0, ray (line) is intersecting AABB, but the whole AABB is behind us + if (tmax < 0) { + *iTime = tmax; + return false; + } + + // if tmin > tmax, ray doesn't intersect AABB + if (tmin > tmax) { + *iTime = tmax; + return false; + } + + *iTime = tmin; + return true; + } + + + void Ray::set(Point3 newOrigin, Vector3 newDir) { + p_ = newOrigin; + d_ = newDir; + } + + std::ostream & operator<< ( std::ostream &os, const Ray &r) { + return os << r.origin() << " " << r.direction(); + } + + std::istream & operator>> ( std::istream &is, Ray &r) { + // format: (x, y, z) + char dummy; + Point3 p; + Vector3 d; + is >> p >> dummy >> d; + r.set(p, d); + return is; + } + + +} // end namespace |