X-Git-Url: http://git.tdb.fi/?a=blobdiff_plain;f=source%2Fgeometry%2Fhypersphere.h;fp=source%2Fgeometry%2Fhypersphere.h;h=f95ebe4182094667533e2cec0914210cb7b79337;hb=9260eee3126731c1e6b54ce3407be757d0d71716;hp=8b7d0a4cf91088f8e4e14028b5116698ca079fb5;hpb=6843cbaeaca73ecdbebe852b7e7899ce48f8a83c;p=libs%2Fmath.git diff --git a/source/geometry/hypersphere.h b/source/geometry/hypersphere.h index 8b7d0a4..f95ebe4 100644 --- a/source/geometry/hypersphere.h +++ b/source/geometry/hypersphere.h @@ -5,6 +5,7 @@ #include "hyperbox.h" #include "ray.h" #include "shape.h" +#include "surfacepoint.h" namespace Msp { namespace Geometry { @@ -24,7 +25,10 @@ public: T get_radius() const { return radius; } virtual HyperBox get_axis_aligned_bounding_box() const; + virtual bool contains(const LinAl::Vector &) const; virtual bool check_intersection(const Ray &) const; + virtual unsigned get_max_ray_intersections() const { return 2; } + virtual unsigned get_intersections(const Ray &, SurfacePoint *, unsigned) const; }; template @@ -52,17 +56,51 @@ inline HyperBox HyperSphere::get_axis_aligned_bounding_box() const return HyperBox(dimensions); } +template +inline bool HyperSphere::contains(const LinAl::Vector &point) const +{ + return inner_product(point, point)<=radius*radius; +} + template inline bool HyperSphere::check_intersection(const Ray &ray) const { T x = inner_product(ray.get_direction(), ray.get_start()); if(x>0) - return inner_product(ray.get_start(), ray.get_start())<=radius*radius; + return contains(ray.get_start()); else + return contains(ray.get_start()-ray.get_direction()*x); +} + +template +inline unsigned HyperSphere::get_intersections(const Ray &ray, SurfacePoint *points, unsigned size) const +{ + T mid = -inner_product(ray.get_direction(), ray.get_start()); + LinAl::Vector nearest = ray.get_start()+ray.get_direction()*mid; + T offset_sq = radius*radius-inner_product(nearest, nearest); + if(offset_sq<0) + return 0; + T offset = sqrt(offset_sq); + + unsigned n = 0; + for(int i=-1; i<=1; i+=2) { - LinAl::Vector nearest = ray.get_start()-ray.get_direction()*x; - return inner_product(nearest, nearest)<=radius*radius; + T x = mid+offset*i; + if(x>0 && n