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Diffstat (limited to 'extern/bullet2/BulletCollision/Gimpact/btBoxCollision.h')
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diff --git a/extern/bullet2/BulletCollision/Gimpact/btBoxCollision.h b/extern/bullet2/BulletCollision/Gimpact/btBoxCollision.h new file mode 100644 index 00000000000..827a3c89587 --- /dev/null +++ b/extern/bullet2/BulletCollision/Gimpact/btBoxCollision.h @@ -0,0 +1,647 @@ +#ifndef BT_BOX_COLLISION_H_INCLUDED +#define BT_BOX_COLLISION_H_INCLUDED + +/*! \file gim_box_collision.h +\author Francisco Len Nßjera +*/ +/* +This source file is part of GIMPACT Library. + +For the latest info, see http://gimpact.sourceforge.net/ + +Copyright (c) 2007 Francisco Leon Najera. C.C. 80087371. +email: projectileman@yahoo.com + + +This software is provided 'as-is', without any express or implied warranty. +In no event will the authors be held liable for any damages arising from the use of this software. +Permission is granted to anyone to use this software for any purpose, +including commercial applications, and to alter it and redistribute it freely, +subject to the following restrictions: + +1. The origin of this software must not be misrepresented; you must not claim that you wrote the original software. If you use this software in a product, an acknowledgment in the product documentation would be appreciated but is not required. +2. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software. +3. This notice may not be removed or altered from any source distribution. +*/ + +#include "LinearMath/btTransform.h" + + +///Swap numbers +#define BT_SWAP_NUMBERS(a,b){ \ + a = a+b; \ + b = a-b; \ + a = a-b; \ +}\ + + +#define BT_MAX(a,b) (a<b?b:a) +#define BT_MIN(a,b) (a>b?b:a) + +#define BT_GREATER(x, y) btFabs(x) > (y) + +#define BT_MAX3(a,b,c) BT_MAX(a,BT_MAX(b,c)) +#define BT_MIN3(a,b,c) BT_MIN(a,BT_MIN(b,c)) + + + + + + +enum eBT_PLANE_INTERSECTION_TYPE +{ + BT_CONST_BACK_PLANE = 0, + BT_CONST_COLLIDE_PLANE, + BT_CONST_FRONT_PLANE +}; + +//SIMD_FORCE_INLINE bool test_cross_edge_box( +// const btVector3 & edge, +// const btVector3 & absolute_edge, +// const btVector3 & pointa, +// const btVector3 & pointb, const btVector3 & extend, +// int dir_index0, +// int dir_index1 +// int component_index0, +// int component_index1) +//{ +// // dir coords are -z and y +// +// const btScalar dir0 = -edge[dir_index0]; +// const btScalar dir1 = edge[dir_index1]; +// btScalar pmin = pointa[component_index0]*dir0 + pointa[component_index1]*dir1; +// btScalar pmax = pointb[component_index0]*dir0 + pointb[component_index1]*dir1; +// //find minmax +// if(pmin>pmax) +// { +// BT_SWAP_NUMBERS(pmin,pmax); +// } +// //find extends +// const btScalar rad = extend[component_index0] * absolute_edge[dir_index0] + +// extend[component_index1] * absolute_edge[dir_index1]; +// +// if(pmin>rad || -rad>pmax) return false; +// return true; +//} +// +//SIMD_FORCE_INLINE bool test_cross_edge_box_X_axis( +// const btVector3 & edge, +// const btVector3 & absolute_edge, +// const btVector3 & pointa, +// const btVector3 & pointb, btVector3 & extend) +//{ +// +// return test_cross_edge_box(edge,absolute_edge,pointa,pointb,extend,2,1,1,2); +//} +// +// +//SIMD_FORCE_INLINE bool test_cross_edge_box_Y_axis( +// const btVector3 & edge, +// const btVector3 & absolute_edge, +// const btVector3 & pointa, +// const btVector3 & pointb, btVector3 & extend) +//{ +// +// return test_cross_edge_box(edge,absolute_edge,pointa,pointb,extend,0,2,2,0); +//} +// +//SIMD_FORCE_INLINE bool test_cross_edge_box_Z_axis( +// const btVector3 & edge, +// const btVector3 & absolute_edge, +// const btVector3 & pointa, +// const btVector3 & pointb, btVector3 & extend) +//{ +// +// return test_cross_edge_box(edge,absolute_edge,pointa,pointb,extend,1,0,0,1); +//} + + +#define TEST_CROSS_EDGE_BOX_MCR(edge,absolute_edge,pointa,pointb,_extend,i_dir_0,i_dir_1,i_comp_0,i_comp_1)\ +{\ + const btScalar dir0 = -edge[i_dir_0];\ + const btScalar dir1 = edge[i_dir_1];\ + btScalar pmin = pointa[i_comp_0]*dir0 + pointa[i_comp_1]*dir1;\ + btScalar pmax = pointb[i_comp_0]*dir0 + pointb[i_comp_1]*dir1;\ + if(pmin>pmax)\ + {\ + BT_SWAP_NUMBERS(pmin,pmax); \ + }\ + const btScalar abs_dir0 = absolute_edge[i_dir_0];\ + const btScalar abs_dir1 = absolute_edge[i_dir_1];\ + const btScalar rad = _extend[i_comp_0] * abs_dir0 + _extend[i_comp_1] * abs_dir1;\ + if(pmin>rad || -rad>pmax) return false;\ +}\ + + +#define TEST_CROSS_EDGE_BOX_X_AXIS_MCR(edge,absolute_edge,pointa,pointb,_extend)\ +{\ + TEST_CROSS_EDGE_BOX_MCR(edge,absolute_edge,pointa,pointb,_extend,2,1,1,2);\ +}\ + +#define TEST_CROSS_EDGE_BOX_Y_AXIS_MCR(edge,absolute_edge,pointa,pointb,_extend)\ +{\ + TEST_CROSS_EDGE_BOX_MCR(edge,absolute_edge,pointa,pointb,_extend,0,2,2,0);\ +}\ + +#define TEST_CROSS_EDGE_BOX_Z_AXIS_MCR(edge,absolute_edge,pointa,pointb,_extend)\ +{\ + TEST_CROSS_EDGE_BOX_MCR(edge,absolute_edge,pointa,pointb,_extend,1,0,0,1);\ +}\ + + +//! Returns the dot product between a vec3f and the col of a matrix +SIMD_FORCE_INLINE btScalar bt_mat3_dot_col( +const btMatrix3x3 & mat, const btVector3 & vec3, int colindex) +{ + return vec3[0]*mat[0][colindex] + vec3[1]*mat[1][colindex] + vec3[2]*mat[2][colindex]; +} + + +//! Class for transforming a model1 to the space of model0 +ATTRIBUTE_ALIGNED16 (class) BT_BOX_BOX_TRANSFORM_CACHE +{ +public: + btVector3 m_T1to0;//!< Transforms translation of model1 to model 0 + btMatrix3x3 m_R1to0;//!< Transforms Rotation of model1 to model 0, equal to R0' * R1 + btMatrix3x3 m_AR;//!< Absolute value of m_R1to0 + + SIMD_FORCE_INLINE void calc_absolute_matrix() + { +// static const btVector3 vepsi(1e-6f,1e-6f,1e-6f); +// m_AR[0] = vepsi + m_R1to0[0].absolute(); +// m_AR[1] = vepsi + m_R1to0[1].absolute(); +// m_AR[2] = vepsi + m_R1to0[2].absolute(); + + int i,j; + + for(i=0;i<3;i++) + { + for(j=0;j<3;j++ ) + { + m_AR[i][j] = 1e-6f + btFabs(m_R1to0[i][j]); + } + } + + } + + BT_BOX_BOX_TRANSFORM_CACHE() + { + } + + + + //! Calc the transformation relative 1 to 0. Inverts matrics by transposing + SIMD_FORCE_INLINE void calc_from_homogenic(const btTransform & trans0,const btTransform & trans1) + { + + btTransform temp_trans = trans0.inverse(); + temp_trans = temp_trans * trans1; + + m_T1to0 = temp_trans.getOrigin(); + m_R1to0 = temp_trans.getBasis(); + + + calc_absolute_matrix(); + } + + //! Calcs the full invertion of the matrices. Useful for scaling matrices + SIMD_FORCE_INLINE void calc_from_full_invert(const btTransform & trans0,const btTransform & trans1) + { + m_R1to0 = trans0.getBasis().inverse(); + m_T1to0 = m_R1to0 * (-trans0.getOrigin()); + + m_T1to0 += m_R1to0*trans1.getOrigin(); + m_R1to0 *= trans1.getBasis(); + + calc_absolute_matrix(); + } + + SIMD_FORCE_INLINE btVector3 transform(const btVector3 & point) const + { + return btVector3(m_R1to0[0].dot(point) + m_T1to0.x(), + m_R1to0[1].dot(point) + m_T1to0.y(), + m_R1to0[2].dot(point) + m_T1to0.z()); + } +}; + + +#define BOX_PLANE_EPSILON 0.000001f + +//! Axis aligned box +ATTRIBUTE_ALIGNED16 (class) btAABB +{ +public: + btVector3 m_min; + btVector3 m_max; + + btAABB() + {} + + + btAABB(const btVector3 & V1, + const btVector3 & V2, + const btVector3 & V3) + { + m_min[0] = BT_MIN3(V1[0],V2[0],V3[0]); + m_min[1] = BT_MIN3(V1[1],V2[1],V3[1]); + m_min[2] = BT_MIN3(V1[2],V2[2],V3[2]); + + m_max[0] = BT_MAX3(V1[0],V2[0],V3[0]); + m_max[1] = BT_MAX3(V1[1],V2[1],V3[1]); + m_max[2] = BT_MAX3(V1[2],V2[2],V3[2]); + } + + btAABB(const btVector3 & V1, + const btVector3 & V2, + const btVector3 & V3, + btScalar margin) + { + m_min[0] = BT_MIN3(V1[0],V2[0],V3[0]); + m_min[1] = BT_MIN3(V1[1],V2[1],V3[1]); + m_min[2] = BT_MIN3(V1[2],V2[2],V3[2]); + + m_max[0] = BT_MAX3(V1[0],V2[0],V3[0]); + m_max[1] = BT_MAX3(V1[1],V2[1],V3[1]); + m_max[2] = BT_MAX3(V1[2],V2[2],V3[2]); + + m_min[0] -= margin; + m_min[1] -= margin; + m_min[2] -= margin; + m_max[0] += margin; + m_max[1] += margin; + m_max[2] += margin; + } + + btAABB(const btAABB &other): + m_min(other.m_min),m_max(other.m_max) + { + } + + btAABB(const btAABB &other,btScalar margin ): + m_min(other.m_min),m_max(other.m_max) + { + m_min[0] -= margin; + m_min[1] -= margin; + m_min[2] -= margin; + m_max[0] += margin; + m_max[1] += margin; + m_max[2] += margin; + } + + SIMD_FORCE_INLINE void invalidate() + { + m_min[0] = SIMD_INFINITY; + m_min[1] = SIMD_INFINITY; + m_min[2] = SIMD_INFINITY; + m_max[0] = -SIMD_INFINITY; + m_max[1] = -SIMD_INFINITY; + m_max[2] = -SIMD_INFINITY; + } + + SIMD_FORCE_INLINE void increment_margin(btScalar margin) + { + m_min[0] -= margin; + m_min[1] -= margin; + m_min[2] -= margin; + m_max[0] += margin; + m_max[1] += margin; + m_max[2] += margin; + } + + SIMD_FORCE_INLINE void copy_with_margin(const btAABB &other, btScalar margin) + { + m_min[0] = other.m_min[0] - margin; + m_min[1] = other.m_min[1] - margin; + m_min[2] = other.m_min[2] - margin; + + m_max[0] = other.m_max[0] + margin; + m_max[1] = other.m_max[1] + margin; + m_max[2] = other.m_max[2] + margin; + } + + template<typename CLASS_POINT> + SIMD_FORCE_INLINE void calc_from_triangle( + const CLASS_POINT & V1, + const CLASS_POINT & V2, + const CLASS_POINT & V3) + { + m_min[0] = BT_MIN3(V1[0],V2[0],V3[0]); + m_min[1] = BT_MIN3(V1[1],V2[1],V3[1]); + m_min[2] = BT_MIN3(V1[2],V2[2],V3[2]); + + m_max[0] = BT_MAX3(V1[0],V2[0],V3[0]); + m_max[1] = BT_MAX3(V1[1],V2[1],V3[1]); + m_max[2] = BT_MAX3(V1[2],V2[2],V3[2]); + } + + template<typename CLASS_POINT> + SIMD_FORCE_INLINE void calc_from_triangle_margin( + const CLASS_POINT & V1, + const CLASS_POINT & V2, + const CLASS_POINT & V3, btScalar margin) + { + m_min[0] = BT_MIN3(V1[0],V2[0],V3[0]); + m_min[1] = BT_MIN3(V1[1],V2[1],V3[1]); + m_min[2] = BT_MIN3(V1[2],V2[2],V3[2]); + + m_max[0] = BT_MAX3(V1[0],V2[0],V3[0]); + m_max[1] = BT_MAX3(V1[1],V2[1],V3[1]); + m_max[2] = BT_MAX3(V1[2],V2[2],V3[2]); + + m_min[0] -= margin; + m_min[1] -= margin; + m_min[2] -= margin; + m_max[0] += margin; + m_max[1] += margin; + m_max[2] += margin; + } + + //! Apply a transform to an AABB + SIMD_FORCE_INLINE void appy_transform(const btTransform & trans) + { + btVector3 center = (m_max+m_min)*0.5f; + btVector3 extends = m_max - center; + // Compute new center + center = trans(center); + + btVector3 textends(extends.dot(trans.getBasis().getRow(0).absolute()), + extends.dot(trans.getBasis().getRow(1).absolute()), + extends.dot(trans.getBasis().getRow(2).absolute())); + + m_min = center - textends; + m_max = center + textends; + } + + + //! Apply a transform to an AABB + SIMD_FORCE_INLINE void appy_transform_trans_cache(const BT_BOX_BOX_TRANSFORM_CACHE & trans) + { + btVector3 center = (m_max+m_min)*0.5f; + btVector3 extends = m_max - center; + // Compute new center + center = trans.transform(center); + + btVector3 textends(extends.dot(trans.m_R1to0.getRow(0).absolute()), + extends.dot(trans.m_R1to0.getRow(1).absolute()), + extends.dot(trans.m_R1to0.getRow(2).absolute())); + + m_min = center - textends; + m_max = center + textends; + } + + //! Merges a Box + SIMD_FORCE_INLINE void merge(const btAABB & box) + { + m_min[0] = BT_MIN(m_min[0],box.m_min[0]); + m_min[1] = BT_MIN(m_min[1],box.m_min[1]); + m_min[2] = BT_MIN(m_min[2],box.m_min[2]); + + m_max[0] = BT_MAX(m_max[0],box.m_max[0]); + m_max[1] = BT_MAX(m_max[1],box.m_max[1]); + m_max[2] = BT_MAX(m_max[2],box.m_max[2]); + } + + //! Merges a point + template<typename CLASS_POINT> + SIMD_FORCE_INLINE void merge_point(const CLASS_POINT & point) + { + m_min[0] = BT_MIN(m_min[0],point[0]); + m_min[1] = BT_MIN(m_min[1],point[1]); + m_min[2] = BT_MIN(m_min[2],point[2]); + + m_max[0] = BT_MAX(m_max[0],point[0]); + m_max[1] = BT_MAX(m_max[1],point[1]); + m_max[2] = BT_MAX(m_max[2],point[2]); + } + + //! Gets the extend and center + SIMD_FORCE_INLINE void get_center_extend(btVector3 & center,btVector3 & extend) const + { + center = (m_max+m_min)*0.5f; + extend = m_max - center; + } + + //! Finds the intersecting box between this box and the other. + SIMD_FORCE_INLINE void find_intersection(const btAABB & other, btAABB & intersection) const + { + intersection.m_min[0] = BT_MAX(other.m_min[0],m_min[0]); + intersection.m_min[1] = BT_MAX(other.m_min[1],m_min[1]); + intersection.m_min[2] = BT_MAX(other.m_min[2],m_min[2]); + + intersection.m_max[0] = BT_MIN(other.m_max[0],m_max[0]); + intersection.m_max[1] = BT_MIN(other.m_max[1],m_max[1]); + intersection.m_max[2] = BT_MIN(other.m_max[2],m_max[2]); + } + + + SIMD_FORCE_INLINE bool has_collision(const btAABB & other) const + { + if(m_min[0] > other.m_max[0] || + m_max[0] < other.m_min[0] || + m_min[1] > other.m_max[1] || + m_max[1] < other.m_min[1] || + m_min[2] > other.m_max[2] || + m_max[2] < other.m_min[2]) + { + return false; + } + return true; + } + + /*! \brief Finds the Ray intersection parameter. + \param aabb Aligned box + \param vorigin A vec3f with the origin of the ray + \param vdir A vec3f with the direction of the ray + */ + SIMD_FORCE_INLINE bool collide_ray(const btVector3 & vorigin,const btVector3 & vdir) const + { + btVector3 extents,center; + this->get_center_extend(center,extents);; + + btScalar Dx = vorigin[0] - center[0]; + if(BT_GREATER(Dx, extents[0]) && Dx*vdir[0]>=0.0f) return false; + btScalar Dy = vorigin[1] - center[1]; + if(BT_GREATER(Dy, extents[1]) && Dy*vdir[1]>=0.0f) return false; + btScalar Dz = vorigin[2] - center[2]; + if(BT_GREATER(Dz, extents[2]) && Dz*vdir[2]>=0.0f) return false; + + + btScalar f = vdir[1] * Dz - vdir[2] * Dy; + if(btFabs(f) > extents[1]*btFabs(vdir[2]) + extents[2]*btFabs(vdir[1])) return false; + f = vdir[2] * Dx - vdir[0] * Dz; + if(btFabs(f) > extents[0]*btFabs(vdir[2]) + extents[2]*btFabs(vdir[0]))return false; + f = vdir[0] * Dy - vdir[1] * Dx; + if(btFabs(f) > extents[0]*btFabs(vdir[1]) + extents[1]*btFabs(vdir[0]))return false; + return true; + } + + + SIMD_FORCE_INLINE void projection_interval(const btVector3 & direction, btScalar &vmin, btScalar &vmax) const + { + btVector3 center = (m_max+m_min)*0.5f; + btVector3 extend = m_max-center; + + btScalar _fOrigin = direction.dot(center); + btScalar _fMaximumExtent = extend.dot(direction.absolute()); + vmin = _fOrigin - _fMaximumExtent; + vmax = _fOrigin + _fMaximumExtent; + } + + SIMD_FORCE_INLINE eBT_PLANE_INTERSECTION_TYPE plane_classify(const btVector4 &plane) const + { + btScalar _fmin,_fmax; + this->projection_interval(plane,_fmin,_fmax); + + if(plane[3] > _fmax + BOX_PLANE_EPSILON) + { + return BT_CONST_BACK_PLANE; // 0 + } + + if(plane[3]+BOX_PLANE_EPSILON >=_fmin) + { + return BT_CONST_COLLIDE_PLANE; //1 + } + return BT_CONST_FRONT_PLANE;//2 + } + + SIMD_FORCE_INLINE bool overlapping_trans_conservative(const btAABB & box, btTransform & trans1_to_0) const + { + btAABB tbox = box; + tbox.appy_transform(trans1_to_0); + return has_collision(tbox); + } + + SIMD_FORCE_INLINE bool overlapping_trans_conservative2(const btAABB & box, + const BT_BOX_BOX_TRANSFORM_CACHE & trans1_to_0) const + { + btAABB tbox = box; + tbox.appy_transform_trans_cache(trans1_to_0); + return has_collision(tbox); + } + + //! transcache is the transformation cache from box to this AABB + SIMD_FORCE_INLINE bool overlapping_trans_cache( + const btAABB & box,const BT_BOX_BOX_TRANSFORM_CACHE & transcache, bool fulltest) const + { + + //Taken from OPCODE + btVector3 ea,eb;//extends + btVector3 ca,cb;//extends + get_center_extend(ca,ea); + box.get_center_extend(cb,eb); + + + btVector3 T; + btScalar t,t2; + int i; + + // Class I : A's basis vectors + for(i=0;i<3;i++) + { + T[i] = transcache.m_R1to0[i].dot(cb) + transcache.m_T1to0[i] - ca[i]; + t = transcache.m_AR[i].dot(eb) + ea[i]; + if(BT_GREATER(T[i], t)) return false; + } + // Class II : B's basis vectors + for(i=0;i<3;i++) + { + t = bt_mat3_dot_col(transcache.m_R1to0,T,i); + t2 = bt_mat3_dot_col(transcache.m_AR,ea,i) + eb[i]; + if(BT_GREATER(t,t2)) return false; + } + // Class III : 9 cross products + if(fulltest) + { + int j,m,n,o,p,q,r; + for(i=0;i<3;i++) + { + m = (i+1)%3; + n = (i+2)%3; + o = i==0?1:0; + p = i==2?1:2; + for(j=0;j<3;j++) + { + q = j==2?1:2; + r = j==0?1:0; + t = T[n]*transcache.m_R1to0[m][j] - T[m]*transcache.m_R1to0[n][j]; + t2 = ea[o]*transcache.m_AR[p][j] + ea[p]*transcache.m_AR[o][j] + + eb[r]*transcache.m_AR[i][q] + eb[q]*transcache.m_AR[i][r]; + if(BT_GREATER(t,t2)) return false; + } + } + } + return true; + } + + //! Simple test for planes. + SIMD_FORCE_INLINE bool collide_plane( + const btVector4 & plane) const + { + eBT_PLANE_INTERSECTION_TYPE classify = plane_classify(plane); + return (classify == BT_CONST_COLLIDE_PLANE); + } + + //! test for a triangle, with edges + SIMD_FORCE_INLINE bool collide_triangle_exact( + const btVector3 & p1, + const btVector3 & p2, + const btVector3 & p3, + const btVector4 & triangle_plane) const + { + if(!collide_plane(triangle_plane)) return false; + + btVector3 center,extends; + this->get_center_extend(center,extends); + + const btVector3 v1(p1 - center); + const btVector3 v2(p2 - center); + const btVector3 v3(p3 - center); + + //First axis + btVector3 diff(v2 - v1); + btVector3 abs_diff = diff.absolute(); + //Test With X axis + TEST_CROSS_EDGE_BOX_X_AXIS_MCR(diff,abs_diff,v1,v3,extends); + //Test With Y axis + TEST_CROSS_EDGE_BOX_Y_AXIS_MCR(diff,abs_diff,v1,v3,extends); + //Test With Z axis + TEST_CROSS_EDGE_BOX_Z_AXIS_MCR(diff,abs_diff,v1,v3,extends); + + + diff = v3 - v2; + abs_diff = diff.absolute(); + //Test With X axis + TEST_CROSS_EDGE_BOX_X_AXIS_MCR(diff,abs_diff,v2,v1,extends); + //Test With Y axis + TEST_CROSS_EDGE_BOX_Y_AXIS_MCR(diff,abs_diff,v2,v1,extends); + //Test With Z axis + TEST_CROSS_EDGE_BOX_Z_AXIS_MCR(diff,abs_diff,v2,v1,extends); + + diff = v1 - v3; + abs_diff = diff.absolute(); + //Test With X axis + TEST_CROSS_EDGE_BOX_X_AXIS_MCR(diff,abs_diff,v3,v2,extends); + //Test With Y axis + TEST_CROSS_EDGE_BOX_Y_AXIS_MCR(diff,abs_diff,v3,v2,extends); + //Test With Z axis + TEST_CROSS_EDGE_BOX_Z_AXIS_MCR(diff,abs_diff,v3,v2,extends); + + return true; + } +}; + + +//! Compairison of transformation objects +SIMD_FORCE_INLINE bool btCompareTransformsEqual(const btTransform & t1,const btTransform & t2) +{ + if(!(t1.getOrigin() == t2.getOrigin()) ) return false; + + if(!(t1.getBasis().getRow(0) == t2.getBasis().getRow(0)) ) return false; + if(!(t1.getBasis().getRow(1) == t2.getBasis().getRow(1)) ) return false; + if(!(t1.getBasis().getRow(2) == t2.getBasis().getRow(2)) ) return false; + return true; +} + + + +#endif // GIM_BOX_COLLISION_H_INCLUDED |