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Diffstat (limited to 'extern/bullet2/src/BulletCollision/Gimpact/gim_basic_geometry_operations.h')
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1 files changed, 547 insertions, 0 deletions
diff --git a/extern/bullet2/src/BulletCollision/Gimpact/gim_basic_geometry_operations.h b/extern/bullet2/src/BulletCollision/Gimpact/gim_basic_geometry_operations.h new file mode 100644 index 00000000000..9c77ebbf6f5 --- /dev/null +++ b/extern/bullet2/src/BulletCollision/Gimpact/gim_basic_geometry_operations.h @@ -0,0 +1,547 @@ +#ifndef GIM_BASIC_GEOMETRY_OPERATIONS_H_INCLUDED +#define GIM_BASIC_GEOMETRY_OPERATIONS_H_INCLUDED + +/*! \file gim_basic_geometry_operations.h +*\author Francisco León Nájera +type independant geometry routines + +*/ +/* +----------------------------------------------------------------------------- +This source file is part of GIMPACT Library. + +For the latest info, see http://gimpact.sourceforge.net/ + +Copyright (c) 2006 Francisco Leon Najera. C.C. 80087371. +email: projectileman@yahoo.com + + This library is free software; you can redistribute it and/or + modify it under the terms of EITHER: + (1) The GNU Lesser General Public License as published by the Free + Software Foundation; either version 2.1 of the License, or (at + your option) any later version. The text of the GNU Lesser + General Public License is included with this library in the + file GIMPACT-LICENSE-LGPL.TXT. + (2) The BSD-style license that is included with this library in + the file GIMPACT-LICENSE-BSD.TXT. + (3) The zlib/libpng license that is included with this library in + the file GIMPACT-LICENSE-ZLIB.TXT. + + This library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the files + GIMPACT-LICENSE-LGPL.TXT, GIMPACT-LICENSE-ZLIB.TXT and GIMPACT-LICENSE-BSD.TXT for more details. + +----------------------------------------------------------------------------- +*/ + + +#include "gim_linear_math.h" + + + +/*! \defgroup GEOMETRIC_OPERATIONS +*/ +//! @{ + + +#define PLANEDIREPSILON 0.0000001f +#define PARALELENORMALS 0.000001f + + +#define TRIANGLE_NORMAL(v1,v2,v3,n)\ +{\ + vec3f _dif1,_dif2;\ + VEC_DIFF(_dif1,v2,v1);\ + VEC_DIFF(_dif2,v3,v1);\ + VEC_CROSS(n,_dif1,_dif2);\ + VEC_NORMALIZE(n);\ +}\ + +#define TRIANGLE_NORMAL_FAST(v1,v2,v3,n){\ + vec3f _dif1,_dif2; \ + VEC_DIFF(_dif1,v2,v1); \ + VEC_DIFF(_dif2,v3,v1); \ + VEC_CROSS(n,_dif1,_dif2); \ +}\ + +/// plane is a vec4f +#define TRIANGLE_PLANE(v1,v2,v3,plane) {\ + TRIANGLE_NORMAL(v1,v2,v3,plane);\ + plane[3] = VEC_DOT(v1,plane);\ +}\ + +/// plane is a vec4f +#define TRIANGLE_PLANE_FAST(v1,v2,v3,plane) {\ + TRIANGLE_NORMAL_FAST(v1,v2,v3,plane);\ + plane[3] = VEC_DOT(v1,plane);\ +}\ + +/// Calc a plane from an edge an a normal. plane is a vec4f +#define EDGE_PLANE(e1,e2,n,plane) {\ + vec3f _dif; \ + VEC_DIFF(_dif,e2,e1); \ + VEC_CROSS(plane,_dif,n); \ + VEC_NORMALIZE(plane); \ + plane[3] = VEC_DOT(e1,plane);\ +}\ + +#define DISTANCE_PLANE_POINT(plane,point) (VEC_DOT(plane,point) - plane[3]) + +#define PROJECT_POINT_PLANE(point,plane,projected) {\ + GREAL _dis;\ + _dis = DISTANCE_PLANE_POINT(plane,point);\ + VEC_SCALE(projected,-_dis,plane);\ + VEC_SUM(projected,projected,point); \ +}\ + +//! Verifies if a point is in the plane hull +template<typename CLASS_POINT,typename CLASS_PLANE> +SIMD_FORCE_INLINE bool POINT_IN_HULL( + const CLASS_POINT& point,const CLASS_PLANE * planes,GUINT plane_count) +{ + GREAL _dis; + for (GUINT _i = 0;_i< plane_count;++_i) + { + _dis = DISTANCE_PLANE_POINT(planes[_i],point); + if(_dis>0.0f) return false; + } + return true; +} + +template<typename CLASS_POINT,typename CLASS_PLANE> +SIMD_FORCE_INLINE void PLANE_CLIP_SEGMENT( + const CLASS_POINT& s1, + const CLASS_POINT &s2,const CLASS_PLANE &plane,CLASS_POINT &clipped) +{ + GREAL _dis1,_dis2; + _dis1 = DISTANCE_PLANE_POINT(plane,s1); + VEC_DIFF(clipped,s2,s1); + _dis2 = VEC_DOT(clipped,plane); + VEC_SCALE(clipped,-_dis1/_dis2,clipped); + VEC_SUM(clipped,clipped,s1); +} + +enum ePLANE_INTERSECTION_TYPE +{ + G_BACK_PLANE = 0, + G_COLLIDE_PLANE, + G_FRONT_PLANE +}; + +enum eLINE_PLANE_INTERSECTION_TYPE +{ + G_FRONT_PLANE_S1 = 0, + G_FRONT_PLANE_S2, + G_BACK_PLANE_S1, + G_BACK_PLANE_S2, + G_COLLIDE_PLANE_S1, + G_COLLIDE_PLANE_S2 +}; + +//! Confirms if the plane intersect the edge or nor +/*! +intersection type must have the following values +<ul> +<li> 0 : Segment in front of plane, s1 closest +<li> 1 : Segment in front of plane, s2 closest +<li> 2 : Segment in back of plane, s1 closest +<li> 3 : Segment in back of plane, s2 closest +<li> 4 : Segment collides plane, s1 in back +<li> 5 : Segment collides plane, s2 in back +</ul> +*/ + +template<typename CLASS_POINT,typename CLASS_PLANE> +SIMD_FORCE_INLINE eLINE_PLANE_INTERSECTION_TYPE PLANE_CLIP_SEGMENT2( + const CLASS_POINT& s1, + const CLASS_POINT &s2, + const CLASS_PLANE &plane,CLASS_POINT &clipped) +{ + GREAL _dis1 = DISTANCE_PLANE_POINT(plane,s1); + GREAL _dis2 = DISTANCE_PLANE_POINT(plane,s2); + if(_dis1 >-G_EPSILON && _dis2 >-G_EPSILON) + { + if(_dis1<_dis2) return G_FRONT_PLANE_S1; + return G_FRONT_PLANE_S2; + } + else if(_dis1 <G_EPSILON && _dis2 <G_EPSILON) + { + if(_dis1>_dis2) return G_BACK_PLANE_S1; + return G_BACK_PLANE_S2; + } + + VEC_DIFF(clipped,s2,s1); + _dis2 = VEC_DOT(clipped,plane); + VEC_SCALE(clipped,-_dis1/_dis2,clipped); + VEC_SUM(clipped,clipped,s1); + if(_dis1<_dis2) return G_COLLIDE_PLANE_S1; + return G_COLLIDE_PLANE_S2; +} + +//! Confirms if the plane intersect the edge or not +/*! +clipped1 and clipped2 are the vertices behind the plane. +clipped1 is the closest + +intersection_type must have the following values +<ul> +<li> 0 : Segment in front of plane, s1 closest +<li> 1 : Segment in front of plane, s2 closest +<li> 2 : Segment in back of plane, s1 closest +<li> 3 : Segment in back of plane, s2 closest +<li> 4 : Segment collides plane, s1 in back +<li> 5 : Segment collides plane, s2 in back +</ul> +*/ +template<typename CLASS_POINT,typename CLASS_PLANE> +SIMD_FORCE_INLINE eLINE_PLANE_INTERSECTION_TYPE PLANE_CLIP_SEGMENT_CLOSEST( + const CLASS_POINT& s1, + const CLASS_POINT &s2, + const CLASS_PLANE &plane, + CLASS_POINT &clipped1,CLASS_POINT &clipped2) +{ + eLINE_PLANE_INTERSECTION_TYPE intersection_type = PLANE_CLIP_SEGMENT2(s1,s2,plane,clipped1); + switch(intersection_type) + { + case G_FRONT_PLANE_S1: + VEC_COPY(clipped1,s1); + VEC_COPY(clipped2,s2); + break; + case G_FRONT_PLANE_S2: + VEC_COPY(clipped1,s2); + VEC_COPY(clipped2,s1); + break; + case G_BACK_PLANE_S1: + VEC_COPY(clipped1,s1); + VEC_COPY(clipped2,s2); + break; + case G_BACK_PLANE_S2: + VEC_COPY(clipped1,s2); + VEC_COPY(clipped2,s1); + break; + case G_COLLIDE_PLANE_S1: + VEC_COPY(clipped2,s1); + break; + case G_COLLIDE_PLANE_S2: + VEC_COPY(clipped2,s2); + break; + } + return intersection_type; +} + + +//! Finds the 2 smallest cartesian coordinates of a plane normal +#define PLANE_MINOR_AXES(plane, i0, i1) VEC_MINOR_AXES(plane, i0, i1) + +//! Ray plane collision in one way +/*! +Intersects plane in one way only. The ray must face the plane (normals must be in opossite directions).<br/> +It uses the PLANEDIREPSILON constant. +*/ +template<typename T,typename CLASS_POINT,typename CLASS_PLANE> +SIMD_FORCE_INLINE bool RAY_PLANE_COLLISION( + const CLASS_PLANE & plane, + const CLASS_POINT & vDir, + const CLASS_POINT & vPoint, + CLASS_POINT & pout,T &tparam) +{ + GREAL _dis,_dotdir; + _dotdir = VEC_DOT(plane,vDir); + if(_dotdir<PLANEDIREPSILON) + { + return false; + } + _dis = DISTANCE_PLANE_POINT(plane,vPoint); + tparam = -_dis/_dotdir; + VEC_SCALE(pout,tparam,vDir); + VEC_SUM(pout,vPoint,pout); + return true; +} + +//! line collision +/*! +*\return + -0 if the ray never intersects + -1 if the ray collides in front + -2 if the ray collides in back +*/ +template<typename T,typename CLASS_POINT,typename CLASS_PLANE> +SIMD_FORCE_INLINE GUINT LINE_PLANE_COLLISION( + const CLASS_PLANE & plane, + const CLASS_POINT & vDir, + const CLASS_POINT & vPoint, + CLASS_POINT & pout, + T &tparam, + T tmin, T tmax) +{ + GREAL _dis,_dotdir; + _dotdir = VEC_DOT(plane,vDir); + if(btFabs(_dotdir)<PLANEDIREPSILON) + { + tparam = tmax; + return 0; + } + _dis = DISTANCE_PLANE_POINT(plane,vPoint); + char returnvalue = _dis<0.0f?2:1; + tparam = -_dis/_dotdir; + + if(tparam<tmin) + { + returnvalue = 0; + tparam = tmin; + } + else if(tparam>tmax) + { + returnvalue = 0; + tparam = tmax; + } + + VEC_SCALE(pout,tparam,vDir); + VEC_SUM(pout,vPoint,pout); + return returnvalue; +} + +/*! \brief Returns the Ray on which 2 planes intersect if they do. + Written by Rodrigo Hernandez on ODE convex collision + + \param p1 Plane 1 + \param p2 Plane 2 + \param p Contains the origin of the ray upon returning if planes intersect + \param d Contains the direction of the ray upon returning if planes intersect + \return true if the planes intersect, 0 if paralell. + +*/ +template<typename CLASS_POINT,typename CLASS_PLANE> +SIMD_FORCE_INLINE bool INTERSECT_PLANES( + const CLASS_PLANE &p1, + const CLASS_PLANE &p2, + CLASS_POINT &p, + CLASS_POINT &d) +{ + VEC_CROSS(d,p1,p2); + GREAL denom = VEC_DOT(d, d); + if(GIM_IS_ZERO(denom)) return false; + vec3f _n; + _n[0]=p1[3]*p2[0] - p2[3]*p1[0]; + _n[1]=p1[3]*p2[1] - p2[3]*p1[1]; + _n[2]=p1[3]*p2[2] - p2[3]*p1[2]; + VEC_CROSS(p,_n,d); + p[0]/=denom; + p[1]/=denom; + p[2]/=denom; + return true; +} + +//***************** SEGMENT and LINE FUNCTIONS **********************************/// + +/*! Finds the closest point(cp) to (v) on a segment (e1,e2) + */ +template<typename CLASS_POINT> +SIMD_FORCE_INLINE void CLOSEST_POINT_ON_SEGMENT( + CLASS_POINT & cp, const CLASS_POINT & v, + const CLASS_POINT &e1,const CLASS_POINT &e2) +{ + vec3f _n; + VEC_DIFF(_n,e2,e1); + VEC_DIFF(cp,v,e1); + GREAL _scalar = VEC_DOT(cp, _n); + _scalar/= VEC_DOT(_n, _n); + if(_scalar <0.0f) + { + VEC_COPY(cp,e1); + } + else if(_scalar >1.0f) + { + VEC_COPY(cp,e2); + } + else + { + VEC_SCALE(cp,_scalar,_n); + VEC_SUM(cp,cp,e1); + } +} + + +/*! \brief Finds the line params where these lines intersect. + +\param dir1 Direction of line 1 +\param point1 Point of line 1 +\param dir2 Direction of line 2 +\param point2 Point of line 2 +\param t1 Result Parameter for line 1 +\param t2 Result Parameter for line 2 +\param dointersect 0 if the lines won't intersect, else 1 + +*/ +template<typename T,typename CLASS_POINT> +SIMD_FORCE_INLINE bool LINE_INTERSECTION_PARAMS( + const CLASS_POINT & dir1, + CLASS_POINT & point1, + const CLASS_POINT & dir2, + CLASS_POINT & point2, + T& t1,T& t2) +{ + GREAL det; + GREAL e1e1 = VEC_DOT(dir1,dir1); + GREAL e1e2 = VEC_DOT(dir1,dir2); + GREAL e2e2 = VEC_DOT(dir2,dir2); + vec3f p1p2; + VEC_DIFF(p1p2,point1,point2); + GREAL p1p2e1 = VEC_DOT(p1p2,dir1); + GREAL p1p2e2 = VEC_DOT(p1p2,dir2); + det = e1e2*e1e2 - e1e1*e2e2; + if(GIM_IS_ZERO(det)) return false; + t1 = (e1e2*p1p2e2 - e2e2*p1p2e1)/det; + t2 = (e1e1*p1p2e2 - e1e2*p1p2e1)/det; + return true; +} + +//! Find closest points on segments +template<typename CLASS_POINT> +SIMD_FORCE_INLINE void SEGMENT_COLLISION( + const CLASS_POINT & vA1, + const CLASS_POINT & vA2, + const CLASS_POINT & vB1, + const CLASS_POINT & vB2, + CLASS_POINT & vPointA, + CLASS_POINT & vPointB) +{ + CLASS_POINT _AD,_BD,_N; + vec4f _M;//plane + VEC_DIFF(_AD,vA2,vA1); + VEC_DIFF(_BD,vB2,vB1); + VEC_CROSS(_N,_AD,_BD); + GREAL _tp = VEC_DOT(_N,_N); + if(_tp<G_EPSILON)//ARE PARALELE + { + //project B over A + bool invert_b_order = false; + _M[0] = VEC_DOT(vB1,_AD); + _M[1] = VEC_DOT(vB2,_AD); + if(_M[0]>_M[1]) + { + invert_b_order = true; + GIM_SWAP_NUMBERS(_M[0],_M[1]); + } + _M[2] = VEC_DOT(vA1,_AD); + _M[3] = VEC_DOT(vA2,_AD); + //mid points + _N[0] = (_M[0]+_M[1])*0.5f; + _N[1] = (_M[2]+_M[3])*0.5f; + + if(_N[0]<_N[1]) + { + if(_M[1]<_M[2]) + { + vPointB = invert_b_order?vB1:vB2; + vPointA = vA1; + } + else if(_M[1]<_M[3]) + { + vPointB = invert_b_order?vB1:vB2; + CLOSEST_POINT_ON_SEGMENT(vPointA,vPointB,vA1,vA2); + } + else + { + vPointA = vA2; + CLOSEST_POINT_ON_SEGMENT(vPointB,vPointA,vB1,vB2); + } + } + else + { + if(_M[3]<_M[0]) + { + vPointB = invert_b_order?vB2:vB1; + vPointA = vA2; + } + else if(_M[3]<_M[1]) + { + vPointA = vA2; + CLOSEST_POINT_ON_SEGMENT(vPointB,vPointA,vB1,vB2); + } + else + { + vPointB = invert_b_order?vB1:vB2; + CLOSEST_POINT_ON_SEGMENT(vPointA,vPointB,vA1,vA2); + } + } + return; + } + + + VEC_CROSS(_M,_N,_BD); + _M[3] = VEC_DOT(_M,vB1); + + LINE_PLANE_COLLISION(_M,_AD,vA1,vPointA,_tp,btScalar(0), btScalar(1)); + /*Closest point on segment*/ + VEC_DIFF(vPointB,vPointA,vB1); + _tp = VEC_DOT(vPointB, _BD); + _tp/= VEC_DOT(_BD, _BD); + _tp = GIM_CLAMP(_tp,0.0f,1.0f); + VEC_SCALE(vPointB,_tp,_BD); + VEC_SUM(vPointB,vPointB,vB1); +} + + + + +//! Line box intersection in one dimension +/*! + +*\param pos Position of the ray +*\param dir Projection of the Direction of the ray +*\param bmin Minimum bound of the box +*\param bmax Maximum bound of the box +*\param tfirst the minimum projection. Assign to 0 at first. +*\param tlast the maximum projection. Assign to INFINITY at first. +*\return true if there is an intersection. +*/ +template<typename T> +SIMD_FORCE_INLINE bool BOX_AXIS_INTERSECT(T pos, T dir,T bmin, T bmax, T & tfirst, T & tlast) +{ + if(GIM_IS_ZERO(dir)) + { + return !(pos < bmin || pos > bmax); + } + GREAL a0 = (bmin - pos) / dir; + GREAL a1 = (bmax - pos) / dir; + if(a0 > a1) GIM_SWAP_NUMBERS(a0, a1); + tfirst = GIM_MAX(a0, tfirst); + tlast = GIM_MIN(a1, tlast); + if (tlast < tfirst) return false; + return true; +} + + +//! Sorts 3 componets +template<typename T> +SIMD_FORCE_INLINE void SORT_3_INDICES( + const T * values, + GUINT * order_indices) +{ + //get minimum + order_indices[0] = values[0] < values[1] ? (values[0] < values[2] ? 0 : 2) : (values[1] < values[2] ? 1 : 2); + + //get second and third + GUINT i0 = (order_indices[0] + 1)%3; + GUINT i1 = (i0 + 1)%3; + + if(values[i0] < values[i1]) + { + order_indices[1] = i0; + order_indices[2] = i1; + } + else + { + order_indices[1] = i1; + order_indices[2] = i0; + } +} + + + +//! @} + + +#endif // GIM_VECTOR_H_INCLUDED |