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+///////////////////////////////////////////////////////////////////////////////////////////////////
+// OpenGL Mathematics Copyright (c) 2005 - 2014 G-Truc Creation (www.g-truc.net)
+///////////////////////////////////////////////////////////////////////////////////////////////////
+// Created : 2007-04-03
+// Updated : 2009-01-20
+// Licence : This source is under MIT licence
+// File : glm/gtx/intersect.inl
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+#include "../geometric.hpp"
+#include <cfloat>
+#include <limits>
+
+namespace glm
+{
+ template <typename genType>
+ GLM_FUNC_QUALIFIER bool intersectRayPlane
+ (
+ genType const & orig, genType const & dir,
+ genType const & planeOrig, genType const & planeNormal,
+ typename genType::value_type & intersectionDistance
+ )
+ {
+ typename genType::value_type d = glm::dot(dir, planeNormal);
+ typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+
+ if(d < Epsilon)
+ {
+ intersectionDistance = glm::dot(planeOrig - orig, planeNormal) / d;
+ return true;
+ }
+
+ return false;
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER bool intersectRayTriangle
+ (
+ genType const & orig, genType const & dir,
+ genType const & v0, genType const & v1, genType const & v2,
+ genType & baryPosition
+ )
+ {
+ genType e1 = v1 - v0;
+ genType e2 = v2 - v0;
+
+ genType p = glm::cross(dir, e2);
+
+ typename genType::value_type a = glm::dot(e1, p);
+
+ typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+ if(a < Epsilon)
+ return false;
+
+ typename genType::value_type f = typename genType::value_type(1.0f) / a;
+
+ genType s = orig - v0;
+ baryPosition.x = f * glm::dot(s, p);
+ if(baryPosition.x < typename genType::value_type(0.0f))
+ return false;
+ if(baryPosition.x > typename genType::value_type(1.0f))
+ return false;
+
+ genType q = glm::cross(s, e1);
+ baryPosition.y = f * glm::dot(dir, q);
+ if(baryPosition.y < typename genType::value_type(0.0f))
+ return false;
+ if(baryPosition.y + baryPosition.x > typename genType::value_type(1.0f))
+ return false;
+
+ baryPosition.z = f * glm::dot(e2, q);
+
+ return baryPosition.z >= typename genType::value_type(0.0f);
+ }
+
+ //template <typename genType>
+ //GLM_FUNC_QUALIFIER bool intersectRayTriangle
+ //(
+ // genType const & orig, genType const & dir,
+ // genType const & vert0, genType const & vert1, genType const & vert2,
+ // genType & position
+ //)
+ //{
+ // typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+ //
+ // genType edge1 = vert1 - vert0;
+ // genType edge2 = vert2 - vert0;
+ //
+ // genType pvec = cross(dir, edge2);
+ //
+ // float det = dot(edge1, pvec);
+ // if(det < Epsilon)
+ // return false;
+ //
+ // genType tvec = orig - vert0;
+ //
+ // position.y = dot(tvec, pvec);
+ // if (position.y < typename genType::value_type(0) || position.y > det)
+ // return typename genType::value_type(0);
+ //
+ // genType qvec = cross(tvec, edge1);
+ //
+ // position.z = dot(dir, qvec);
+ // if (position.z < typename genType::value_type(0) || position.y + position.z > det)
+ // return typename genType::value_type(0);
+ //
+ // position.x = dot(edge2, qvec);
+ // position *= typename genType::value_type(1) / det;
+ //
+ // return typename genType::value_type(1);
+ //}
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER bool intersectLineTriangle
+ (
+ genType const & orig, genType const & dir,
+ genType const & vert0, genType const & vert1, genType const & vert2,
+ genType & position
+ )
+ {
+ typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+
+ genType edge1 = vert1 - vert0;
+ genType edge2 = vert2 - vert0;
+
+ genType pvec = cross(dir, edge2);
+
+ float det = dot(edge1, pvec);
+
+ if (det > -Epsilon && det < Epsilon)
+ return false;
+ float inv_det = typename genType::value_type(1) / det;
+
+ genType tvec = orig - vert0;
+
+ position.y = dot(tvec, pvec) * inv_det;
+ if (position.y < typename genType::value_type(0) || position.y > typename genType::value_type(1))
+ return false;
+
+ genType qvec = cross(tvec, edge1);
+
+ position.z = dot(dir, qvec) * inv_det;
+ if (position.z < typename genType::value_type(0) || position.y + position.z > typename genType::value_type(1))
+ return false;
+
+ position.x = dot(edge2, qvec) * inv_det;
+
+ return true;
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER bool intersectRaySphere
+ (
+ genType const & rayStarting, genType const & rayNormalizedDirection,
+ genType const & sphereCenter, const typename genType::value_type sphereRadiusSquered,
+ typename genType::value_type & intersectionDistance
+ )
+ {
+ typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+ genType diff = sphereCenter - rayStarting;
+ typename genType::value_type t0 = dot(diff, rayNormalizedDirection);
+ typename genType::value_type dSquared = dot(diff, diff) - t0 * t0;
+ if( dSquared > sphereRadiusSquered )
+ {
+ return false;
+ }
+ typename genType::value_type t1 = sqrt( sphereRadiusSquered - dSquared );
+ intersectionDistance = t0 > t1 + Epsilon ? t0 - t1 : t0 + t1;
+ return intersectionDistance > Epsilon;
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER bool intersectRaySphere
+ (
+ genType const & rayStarting, genType const & rayNormalizedDirection,
+ genType const & sphereCenter, const typename genType::value_type sphereRadius,
+ genType & intersectionPosition, genType & intersectionNormal
+ )
+ {
+ typename genType::value_type distance;
+ if( intersectRaySphere( rayStarting, rayNormalizedDirection, sphereCenter, sphereRadius * sphereRadius, distance ) )
+ {
+ intersectionPosition = rayStarting + rayNormalizedDirection * distance;
+ intersectionNormal = (intersectionPosition - sphereCenter) / sphereRadius;
+ return true;
+ }
+ return false;
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER bool intersectLineSphere
+ (
+ genType const & point0, genType const & point1,
+ genType const & sphereCenter, typename genType::value_type sphereRadius,
+ genType & intersectionPoint1, genType & intersectionNormal1,
+ genType & intersectionPoint2, genType & intersectionNormal2
+ )
+ {
+ typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+ genType dir = normalize(point1 - point0);
+ genType diff = sphereCenter - point0;
+ typename genType::value_type t0 = dot(diff, dir);
+ typename genType::value_type dSquared = dot(diff, diff) - t0 * t0;
+ if( dSquared > sphereRadius * sphereRadius )
+ {
+ return false;
+ }
+ typename genType::value_type t1 = sqrt( sphereRadius * sphereRadius - dSquared );
+ if( t0 < t1 + Epsilon )
+ t1 = -t1;
+ intersectionPoint1 = point0 + dir * (t0 - t1);
+ intersectionNormal1 = (intersectionPoint1 - sphereCenter) / sphereRadius;
+ intersectionPoint2 = point0 + dir * (t0 + t1);
+ intersectionNormal2 = (intersectionPoint2 - sphereCenter) / sphereRadius;
+ return true;
+ }
+}//namespace glm