[1963] | 1 | #ifndef BT_BOX_COLLISION_H_INCLUDED |
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| 2 | #define BT_BOX_COLLISION_H_INCLUDED |
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| 3 | |
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| 4 | /*! \file gim_box_collision.h |
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| 5 | \author Francisco Len Nßjera |
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| 6 | */ |
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| 7 | /* |
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| 8 | This source file is part of GIMPACT Library. |
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| 9 | |
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| 10 | For the latest info, see http://gimpact.sourceforge.net/ |
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| 11 | |
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| 12 | Copyright (c) 2007 Francisco Leon Najera. C.C. 80087371. |
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| 13 | email: projectileman@yahoo.com |
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| 14 | |
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| 15 | |
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| 16 | This software is provided 'as-is', without any express or implied warranty. |
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| 17 | In no event will the authors be held liable for any damages arising from the use of this software. |
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| 18 | Permission is granted to anyone to use this software for any purpose, |
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| 19 | including commercial applications, and to alter it and redistribute it freely, |
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| 20 | subject to the following restrictions: |
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| 21 | |
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| 22 | 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. |
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| 23 | 2. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software. |
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| 24 | 3. This notice may not be removed or altered from any source distribution. |
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| 25 | */ |
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| 26 | |
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| 27 | #include "LinearMath/btTransform.h" |
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| 28 | |
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| 29 | /*! \defgroup BOUND_AABB_OPERATIONS |
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| 30 | */ |
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| 31 | //! @{ |
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| 32 | |
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| 33 | ///Swap numbers |
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| 34 | #define BT_SWAP_NUMBERS(a,b){ \ |
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| 35 | a = a+b; \ |
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| 36 | b = a-b; \ |
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| 37 | a = a-b; \ |
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| 38 | }\ |
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| 39 | |
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| 40 | |
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| 41 | #define BT_MAX(a,b) (a<b?b:a) |
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| 42 | #define BT_MIN(a,b) (a>b?b:a) |
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| 43 | |
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| 44 | #define BT_GREATER(x, y) fabsf(x) > (y) |
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| 45 | |
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| 46 | #define BT_MAX3(a,b,c) BT_MAX(a,BT_MAX(b,c)) |
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| 47 | #define BT_MIN3(a,b,c) BT_MIN(a,BT_MIN(b,c)) |
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| 48 | |
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| 49 | |
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| 50 | |
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| 51 | |
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| 52 | |
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| 53 | |
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| 54 | enum eBT_PLANE_INTERSECTION_TYPE |
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| 55 | { |
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| 56 | BT_CONST_BACK_PLANE = 0, |
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| 57 | BT_CONST_COLLIDE_PLANE, |
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| 58 | BT_CONST_FRONT_PLANE |
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| 59 | }; |
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| 60 | |
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| 61 | //SIMD_FORCE_INLINE bool test_cross_edge_box( |
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| 62 | // const btVector3 & edge, |
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| 63 | // const btVector3 & absolute_edge, |
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| 64 | // const btVector3 & pointa, |
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| 65 | // const btVector3 & pointb, const btVector3 & extend, |
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| 66 | // int dir_index0, |
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| 67 | // int dir_index1 |
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| 68 | // int component_index0, |
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| 69 | // int component_index1) |
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| 70 | //{ |
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| 71 | // // dir coords are -z and y |
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| 72 | // |
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| 73 | // const btScalar dir0 = -edge[dir_index0]; |
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| 74 | // const btScalar dir1 = edge[dir_index1]; |
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| 75 | // btScalar pmin = pointa[component_index0]*dir0 + pointa[component_index1]*dir1; |
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| 76 | // btScalar pmax = pointb[component_index0]*dir0 + pointb[component_index1]*dir1; |
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| 77 | // //find minmax |
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| 78 | // if(pmin>pmax) |
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| 79 | // { |
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| 80 | // BT_SWAP_NUMBERS(pmin,pmax); |
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| 81 | // } |
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| 82 | // //find extends |
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| 83 | // const btScalar rad = extend[component_index0] * absolute_edge[dir_index0] + |
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| 84 | // extend[component_index1] * absolute_edge[dir_index1]; |
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| 85 | // |
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| 86 | // if(pmin>rad || -rad>pmax) return false; |
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| 87 | // return true; |
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| 88 | //} |
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| 89 | // |
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| 90 | //SIMD_FORCE_INLINE bool test_cross_edge_box_X_axis( |
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| 91 | // const btVector3 & edge, |
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| 92 | // const btVector3 & absolute_edge, |
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| 93 | // const btVector3 & pointa, |
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| 94 | // const btVector3 & pointb, btVector3 & extend) |
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| 95 | //{ |
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| 96 | // |
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| 97 | // return test_cross_edge_box(edge,absolute_edge,pointa,pointb,extend,2,1,1,2); |
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| 98 | //} |
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| 99 | // |
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| 100 | // |
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| 101 | //SIMD_FORCE_INLINE bool test_cross_edge_box_Y_axis( |
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| 102 | // const btVector3 & edge, |
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| 103 | // const btVector3 & absolute_edge, |
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| 104 | // const btVector3 & pointa, |
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| 105 | // const btVector3 & pointb, btVector3 & extend) |
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| 106 | //{ |
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| 107 | // |
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| 108 | // return test_cross_edge_box(edge,absolute_edge,pointa,pointb,extend,0,2,2,0); |
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| 109 | //} |
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| 110 | // |
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| 111 | //SIMD_FORCE_INLINE bool test_cross_edge_box_Z_axis( |
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| 112 | // const btVector3 & edge, |
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| 113 | // const btVector3 & absolute_edge, |
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| 114 | // const btVector3 & pointa, |
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| 115 | // const btVector3 & pointb, btVector3 & extend) |
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| 116 | //{ |
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| 117 | // |
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| 118 | // return test_cross_edge_box(edge,absolute_edge,pointa,pointb,extend,1,0,0,1); |
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| 119 | //} |
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| 120 | |
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| 121 | |
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| 122 | #define TEST_CROSS_EDGE_BOX_MCR(edge,absolute_edge,pointa,pointb,_extend,i_dir_0,i_dir_1,i_comp_0,i_comp_1)\ |
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| 123 | {\ |
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| 124 | const btScalar dir0 = -edge[i_dir_0];\ |
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| 125 | const btScalar dir1 = edge[i_dir_1];\ |
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| 126 | btScalar pmin = pointa[i_comp_0]*dir0 + pointa[i_comp_1]*dir1;\ |
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| 127 | btScalar pmax = pointb[i_comp_0]*dir0 + pointb[i_comp_1]*dir1;\ |
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| 128 | if(pmin>pmax)\ |
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| 129 | {\ |
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| 130 | BT_SWAP_NUMBERS(pmin,pmax); \ |
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| 131 | }\ |
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| 132 | const btScalar abs_dir0 = absolute_edge[i_dir_0];\ |
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| 133 | const btScalar abs_dir1 = absolute_edge[i_dir_1];\ |
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| 134 | const btScalar rad = _extend[i_comp_0] * abs_dir0 + _extend[i_comp_1] * abs_dir1;\ |
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| 135 | if(pmin>rad || -rad>pmax) return false;\ |
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| 136 | }\ |
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| 137 | |
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| 138 | |
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| 139 | #define TEST_CROSS_EDGE_BOX_X_AXIS_MCR(edge,absolute_edge,pointa,pointb,_extend)\ |
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| 140 | {\ |
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| 141 | TEST_CROSS_EDGE_BOX_MCR(edge,absolute_edge,pointa,pointb,_extend,2,1,1,2);\ |
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| 142 | }\ |
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| 143 | |
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| 144 | #define TEST_CROSS_EDGE_BOX_Y_AXIS_MCR(edge,absolute_edge,pointa,pointb,_extend)\ |
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| 145 | {\ |
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| 146 | TEST_CROSS_EDGE_BOX_MCR(edge,absolute_edge,pointa,pointb,_extend,0,2,2,0);\ |
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| 147 | }\ |
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| 148 | |
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| 149 | #define TEST_CROSS_EDGE_BOX_Z_AXIS_MCR(edge,absolute_edge,pointa,pointb,_extend)\ |
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| 150 | {\ |
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| 151 | TEST_CROSS_EDGE_BOX_MCR(edge,absolute_edge,pointa,pointb,_extend,1,0,0,1);\ |
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| 152 | }\ |
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| 153 | |
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| 154 | |
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| 155 | //! Returns the dot product between a vec3f and the col of a matrix |
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| 156 | SIMD_FORCE_INLINE btScalar bt_mat3_dot_col( |
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| 157 | const btMatrix3x3 & mat, const btVector3 & vec3, int colindex) |
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| 158 | { |
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| 159 | return vec3[0]*mat[0][colindex] + vec3[1]*mat[1][colindex] + vec3[2]*mat[2][colindex]; |
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| 160 | } |
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| 161 | |
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| 162 | |
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| 163 | //! Class for transforming a model1 to the space of model0 |
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| 164 | ATTRIBUTE_ALIGNED16 (class) BT_BOX_BOX_TRANSFORM_CACHE |
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| 165 | { |
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| 166 | public: |
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| 167 | btVector3 m_T1to0;//!< Transforms translation of model1 to model 0 |
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| 168 | btMatrix3x3 m_R1to0;//!< Transforms Rotation of model1 to model 0, equal to R0' * R1 |
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| 169 | btMatrix3x3 m_AR;//!< Absolute value of m_R1to0 |
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| 170 | |
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| 171 | SIMD_FORCE_INLINE void calc_absolute_matrix() |
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| 172 | { |
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| 173 | // static const btVector3 vepsi(1e-6f,1e-6f,1e-6f); |
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| 174 | // m_AR[0] = vepsi + m_R1to0[0].absolute(); |
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| 175 | // m_AR[1] = vepsi + m_R1to0[1].absolute(); |
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| 176 | // m_AR[2] = vepsi + m_R1to0[2].absolute(); |
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| 177 | |
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| 178 | int i,j; |
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| 179 | |
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| 180 | for(i=0;i<3;i++) |
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| 181 | { |
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| 182 | for(j=0;j<3;j++ ) |
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| 183 | { |
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| 184 | m_AR[i][j] = 1e-6f + fabsf(m_R1to0[i][j]); |
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| 185 | } |
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| 186 | } |
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| 187 | |
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| 188 | } |
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| 189 | |
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| 190 | BT_BOX_BOX_TRANSFORM_CACHE() |
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| 191 | { |
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| 192 | } |
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| 193 | |
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| 194 | |
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| 195 | |
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| 196 | //! Calc the transformation relative 1 to 0. Inverts matrics by transposing |
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| 197 | SIMD_FORCE_INLINE void calc_from_homogenic(const btTransform & trans0,const btTransform & trans1) |
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| 198 | { |
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| 199 | |
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| 200 | btTransform temp_trans = trans0.inverse(); |
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| 201 | temp_trans = temp_trans * trans1; |
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| 202 | |
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| 203 | m_T1to0 = temp_trans.getOrigin(); |
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| 204 | m_R1to0 = temp_trans.getBasis(); |
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| 205 | |
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| 206 | |
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| 207 | calc_absolute_matrix(); |
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| 208 | } |
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| 209 | |
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| 210 | //! Calcs the full invertion of the matrices. Useful for scaling matrices |
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| 211 | SIMD_FORCE_INLINE void calc_from_full_invert(const btTransform & trans0,const btTransform & trans1) |
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| 212 | { |
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| 213 | m_R1to0 = trans0.getBasis().inverse(); |
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| 214 | m_T1to0 = m_R1to0 * (-trans0.getOrigin()); |
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| 215 | |
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| 216 | m_T1to0 += m_R1to0*trans1.getOrigin(); |
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| 217 | m_R1to0 *= trans1.getBasis(); |
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| 218 | |
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| 219 | calc_absolute_matrix(); |
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| 220 | } |
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| 221 | |
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| 222 | SIMD_FORCE_INLINE btVector3 transform(const btVector3 & point) const |
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| 223 | { |
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| 224 | return btVector3(m_R1to0[0].dot(point) + m_T1to0.x(), |
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| 225 | m_R1to0[1].dot(point) + m_T1to0.y(), |
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| 226 | m_R1to0[2].dot(point) + m_T1to0.z()); |
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| 227 | } |
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| 228 | }; |
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| 229 | |
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| 230 | |
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| 231 | #define BOX_PLANE_EPSILON 0.000001f |
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| 232 | |
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| 233 | //! Axis aligned box |
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| 234 | ATTRIBUTE_ALIGNED16 (class) btAABB |
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| 235 | { |
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| 236 | public: |
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| 237 | btVector3 m_min; |
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| 238 | btVector3 m_max; |
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| 239 | |
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| 240 | btAABB() |
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| 241 | {} |
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| 242 | |
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| 243 | |
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| 244 | btAABB(const btVector3 & V1, |
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| 245 | const btVector3 & V2, |
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| 246 | const btVector3 & V3) |
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| 247 | { |
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| 248 | m_min[0] = BT_MIN3(V1[0],V2[0],V3[0]); |
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| 249 | m_min[1] = BT_MIN3(V1[1],V2[1],V3[1]); |
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| 250 | m_min[2] = BT_MIN3(V1[2],V2[2],V3[2]); |
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| 251 | |
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| 252 | m_max[0] = BT_MAX3(V1[0],V2[0],V3[0]); |
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| 253 | m_max[1] = BT_MAX3(V1[1],V2[1],V3[1]); |
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| 254 | m_max[2] = BT_MAX3(V1[2],V2[2],V3[2]); |
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| 255 | } |
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| 256 | |
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| 257 | btAABB(const btVector3 & V1, |
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| 258 | const btVector3 & V2, |
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| 259 | const btVector3 & V3, |
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| 260 | btScalar margin) |
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| 261 | { |
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| 262 | m_min[0] = BT_MIN3(V1[0],V2[0],V3[0]); |
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| 263 | m_min[1] = BT_MIN3(V1[1],V2[1],V3[1]); |
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| 264 | m_min[2] = BT_MIN3(V1[2],V2[2],V3[2]); |
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| 265 | |
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| 266 | m_max[0] = BT_MAX3(V1[0],V2[0],V3[0]); |
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| 267 | m_max[1] = BT_MAX3(V1[1],V2[1],V3[1]); |
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| 268 | m_max[2] = BT_MAX3(V1[2],V2[2],V3[2]); |
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| 269 | |
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| 270 | m_min[0] -= margin; |
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| 271 | m_min[1] -= margin; |
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| 272 | m_min[2] -= margin; |
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| 273 | m_max[0] += margin; |
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| 274 | m_max[1] += margin; |
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| 275 | m_max[2] += margin; |
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| 276 | } |
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| 277 | |
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| 278 | btAABB(const btAABB &other): |
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| 279 | m_min(other.m_min),m_max(other.m_max) |
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| 280 | { |
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| 281 | } |
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| 282 | |
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| 283 | btAABB(const btAABB &other,btScalar margin ): |
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| 284 | m_min(other.m_min),m_max(other.m_max) |
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| 285 | { |
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| 286 | m_min[0] -= margin; |
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| 287 | m_min[1] -= margin; |
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| 288 | m_min[2] -= margin; |
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| 289 | m_max[0] += margin; |
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| 290 | m_max[1] += margin; |
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| 291 | m_max[2] += margin; |
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| 292 | } |
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| 293 | |
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| 294 | SIMD_FORCE_INLINE void invalidate() |
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| 295 | { |
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| 296 | m_min[0] = SIMD_INFINITY; |
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| 297 | m_min[1] = SIMD_INFINITY; |
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| 298 | m_min[2] = SIMD_INFINITY; |
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| 299 | m_max[0] = -SIMD_INFINITY; |
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| 300 | m_max[1] = -SIMD_INFINITY; |
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| 301 | m_max[2] = -SIMD_INFINITY; |
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| 302 | } |
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| 303 | |
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| 304 | SIMD_FORCE_INLINE void increment_margin(btScalar margin) |
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| 305 | { |
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| 306 | m_min[0] -= margin; |
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| 307 | m_min[1] -= margin; |
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| 308 | m_min[2] -= margin; |
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| 309 | m_max[0] += margin; |
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| 310 | m_max[1] += margin; |
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| 311 | m_max[2] += margin; |
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| 312 | } |
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| 313 | |
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| 314 | SIMD_FORCE_INLINE void copy_with_margin(const btAABB &other, btScalar margin) |
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| 315 | { |
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| 316 | m_min[0] = other.m_min[0] - margin; |
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| 317 | m_min[1] = other.m_min[1] - margin; |
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| 318 | m_min[2] = other.m_min[2] - margin; |
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| 319 | |
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| 320 | m_max[0] = other.m_max[0] + margin; |
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| 321 | m_max[1] = other.m_max[1] + margin; |
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| 322 | m_max[2] = other.m_max[2] + margin; |
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| 323 | } |
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| 324 | |
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| 325 | template<typename CLASS_POINT> |
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| 326 | SIMD_FORCE_INLINE void calc_from_triangle( |
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| 327 | const CLASS_POINT & V1, |
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| 328 | const CLASS_POINT & V2, |
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| 329 | const CLASS_POINT & V3) |
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| 330 | { |
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| 331 | m_min[0] = BT_MIN3(V1[0],V2[0],V3[0]); |
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| 332 | m_min[1] = BT_MIN3(V1[1],V2[1],V3[1]); |
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| 333 | m_min[2] = BT_MIN3(V1[2],V2[2],V3[2]); |
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| 334 | |
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| 335 | m_max[0] = BT_MAX3(V1[0],V2[0],V3[0]); |
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| 336 | m_max[1] = BT_MAX3(V1[1],V2[1],V3[1]); |
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| 337 | m_max[2] = BT_MAX3(V1[2],V2[2],V3[2]); |
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| 338 | } |
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| 339 | |
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| 340 | template<typename CLASS_POINT> |
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| 341 | SIMD_FORCE_INLINE void calc_from_triangle_margin( |
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| 342 | const CLASS_POINT & V1, |
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| 343 | const CLASS_POINT & V2, |
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| 344 | const CLASS_POINT & V3, btScalar margin) |
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| 345 | { |
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| 346 | m_min[0] = BT_MIN3(V1[0],V2[0],V3[0]); |
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| 347 | m_min[1] = BT_MIN3(V1[1],V2[1],V3[1]); |
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| 348 | m_min[2] = BT_MIN3(V1[2],V2[2],V3[2]); |
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| 349 | |
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| 350 | m_max[0] = BT_MAX3(V1[0],V2[0],V3[0]); |
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| 351 | m_max[1] = BT_MAX3(V1[1],V2[1],V3[1]); |
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| 352 | m_max[2] = BT_MAX3(V1[2],V2[2],V3[2]); |
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| 353 | |
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| 354 | m_min[0] -= margin; |
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| 355 | m_min[1] -= margin; |
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| 356 | m_min[2] -= margin; |
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| 357 | m_max[0] += margin; |
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| 358 | m_max[1] += margin; |
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| 359 | m_max[2] += margin; |
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| 360 | } |
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| 361 | |
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| 362 | //! Apply a transform to an AABB |
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| 363 | SIMD_FORCE_INLINE void appy_transform(const btTransform & trans) |
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| 364 | { |
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| 365 | btVector3 center = (m_max+m_min)*0.5f; |
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| 366 | btVector3 extends = m_max - center; |
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| 367 | // Compute new center |
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| 368 | center = trans(center); |
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| 369 | |
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| 370 | btVector3 textends(extends.dot(trans.getBasis().getRow(0).absolute()), |
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| 371 | extends.dot(trans.getBasis().getRow(1).absolute()), |
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| 372 | extends.dot(trans.getBasis().getRow(2).absolute())); |
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| 373 | |
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| 374 | m_min = center - textends; |
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| 375 | m_max = center + textends; |
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| 376 | } |
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| 377 | |
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| 378 | |
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| 379 | //! Apply a transform to an AABB |
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| 380 | SIMD_FORCE_INLINE void appy_transform_trans_cache(const BT_BOX_BOX_TRANSFORM_CACHE & trans) |
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| 381 | { |
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| 382 | btVector3 center = (m_max+m_min)*0.5f; |
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| 383 | btVector3 extends = m_max - center; |
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| 384 | // Compute new center |
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| 385 | center = trans.transform(center); |
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| 386 | |
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| 387 | btVector3 textends(extends.dot(trans.m_R1to0.getRow(0).absolute()), |
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| 388 | extends.dot(trans.m_R1to0.getRow(1).absolute()), |
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| 389 | extends.dot(trans.m_R1to0.getRow(2).absolute())); |
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| 390 | |
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| 391 | m_min = center - textends; |
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| 392 | m_max = center + textends; |
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| 393 | } |
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| 394 | |
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| 395 | //! Merges a Box |
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| 396 | SIMD_FORCE_INLINE void merge(const btAABB & box) |
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| 397 | { |
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| 398 | m_min[0] = BT_MIN(m_min[0],box.m_min[0]); |
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| 399 | m_min[1] = BT_MIN(m_min[1],box.m_min[1]); |
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| 400 | m_min[2] = BT_MIN(m_min[2],box.m_min[2]); |
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| 401 | |
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| 402 | m_max[0] = BT_MAX(m_max[0],box.m_max[0]); |
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| 403 | m_max[1] = BT_MAX(m_max[1],box.m_max[1]); |
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| 404 | m_max[2] = BT_MAX(m_max[2],box.m_max[2]); |
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| 405 | } |
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| 406 | |
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| 407 | //! Merges a point |
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| 408 | template<typename CLASS_POINT> |
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| 409 | SIMD_FORCE_INLINE void merge_point(const CLASS_POINT & point) |
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| 410 | { |
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| 411 | m_min[0] = BT_MIN(m_min[0],point[0]); |
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| 412 | m_min[1] = BT_MIN(m_min[1],point[1]); |
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| 413 | m_min[2] = BT_MIN(m_min[2],point[2]); |
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| 414 | |
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| 415 | m_max[0] = BT_MAX(m_max[0],point[0]); |
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| 416 | m_max[1] = BT_MAX(m_max[1],point[1]); |
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| 417 | m_max[2] = BT_MAX(m_max[2],point[2]); |
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| 418 | } |
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| 419 | |
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| 420 | //! Gets the extend and center |
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| 421 | SIMD_FORCE_INLINE void get_center_extend(btVector3 & center,btVector3 & extend) const |
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| 422 | { |
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| 423 | center = (m_max+m_min)*0.5f; |
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| 424 | extend = m_max - center; |
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| 425 | } |
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| 426 | |
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| 427 | //! Finds the intersecting box between this box and the other. |
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| 428 | SIMD_FORCE_INLINE void find_intersection(const btAABB & other, btAABB & intersection) const |
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| 429 | { |
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| 430 | intersection.m_min[0] = BT_MAX(other.m_min[0],m_min[0]); |
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| 431 | intersection.m_min[1] = BT_MAX(other.m_min[1],m_min[1]); |
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| 432 | intersection.m_min[2] = BT_MAX(other.m_min[2],m_min[2]); |
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| 433 | |
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| 434 | intersection.m_max[0] = BT_MIN(other.m_max[0],m_max[0]); |
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| 435 | intersection.m_max[1] = BT_MIN(other.m_max[1],m_max[1]); |
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| 436 | intersection.m_max[2] = BT_MIN(other.m_max[2],m_max[2]); |
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| 437 | } |
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| 438 | |
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| 439 | |
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| 440 | SIMD_FORCE_INLINE bool has_collision(const btAABB & other) const |
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| 441 | { |
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| 442 | if(m_min[0] > other.m_max[0] || |
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| 443 | m_max[0] < other.m_min[0] || |
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| 444 | m_min[1] > other.m_max[1] || |
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| 445 | m_max[1] < other.m_min[1] || |
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| 446 | m_min[2] > other.m_max[2] || |
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| 447 | m_max[2] < other.m_min[2]) |
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| 448 | { |
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| 449 | return false; |
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| 450 | } |
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| 451 | return true; |
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| 452 | } |
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| 453 | |
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| 454 | /*! \brief Finds the Ray intersection parameter. |
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| 455 | \param aabb Aligned box |
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| 456 | \param vorigin A vec3f with the origin of the ray |
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| 457 | \param vdir A vec3f with the direction of the ray |
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| 458 | */ |
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| 459 | SIMD_FORCE_INLINE bool collide_ray(const btVector3 & vorigin,const btVector3 & vdir) const |
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| 460 | { |
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| 461 | btVector3 extents,center; |
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| 462 | this->get_center_extend(center,extents);; |
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| 463 | |
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| 464 | btScalar Dx = vorigin[0] - center[0]; |
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| 465 | if(BT_GREATER(Dx, extents[0]) && Dx*vdir[0]>=0.0f) return false; |
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| 466 | btScalar Dy = vorigin[1] - center[1]; |
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| 467 | if(BT_GREATER(Dy, extents[1]) && Dy*vdir[1]>=0.0f) return false; |
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| 468 | btScalar Dz = vorigin[2] - center[2]; |
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| 469 | if(BT_GREATER(Dz, extents[2]) && Dz*vdir[2]>=0.0f) return false; |
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| 470 | |
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| 471 | |
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| 472 | btScalar f = vdir[1] * Dz - vdir[2] * Dy; |
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| 473 | if(btFabs(f) > extents[1]*btFabs(vdir[2]) + extents[2]*btFabs(vdir[1])) return false; |
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| 474 | f = vdir[2] * Dx - vdir[0] * Dz; |
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| 475 | if(btFabs(f) > extents[0]*btFabs(vdir[2]) + extents[2]*btFabs(vdir[0]))return false; |
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| 476 | f = vdir[0] * Dy - vdir[1] * Dx; |
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| 477 | if(btFabs(f) > extents[0]*btFabs(vdir[1]) + extents[1]*btFabs(vdir[0]))return false; |
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| 478 | return true; |
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| 479 | } |
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| 480 | |
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| 481 | |
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| 482 | SIMD_FORCE_INLINE void projection_interval(const btVector3 & direction, btScalar &vmin, btScalar &vmax) const |
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| 483 | { |
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| 484 | btVector3 center = (m_max+m_min)*0.5f; |
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| 485 | btVector3 extend = m_max-center; |
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| 486 | |
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| 487 | btScalar _fOrigin = direction.dot(center); |
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| 488 | btScalar _fMaximumExtent = extend.dot(direction.absolute()); |
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| 489 | vmin = _fOrigin - _fMaximumExtent; |
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| 490 | vmax = _fOrigin + _fMaximumExtent; |
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| 491 | } |
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| 492 | |
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| 493 | SIMD_FORCE_INLINE eBT_PLANE_INTERSECTION_TYPE plane_classify(const btVector4 &plane) const |
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| 494 | { |
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| 495 | btScalar _fmin,_fmax; |
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| 496 | this->projection_interval(plane,_fmin,_fmax); |
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| 497 | |
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| 498 | if(plane[3] > _fmax + BOX_PLANE_EPSILON) |
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| 499 | { |
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| 500 | return BT_CONST_BACK_PLANE; // 0 |
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| 501 | } |
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| 502 | |
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| 503 | if(plane[3]+BOX_PLANE_EPSILON >=_fmin) |
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| 504 | { |
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| 505 | return BT_CONST_COLLIDE_PLANE; //1 |
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| 506 | } |
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| 507 | return BT_CONST_FRONT_PLANE;//2 |
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| 508 | } |
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| 509 | |
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| 510 | SIMD_FORCE_INLINE bool overlapping_trans_conservative(const btAABB & box, btTransform & trans1_to_0) const |
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| 511 | { |
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| 512 | btAABB tbox = box; |
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| 513 | tbox.appy_transform(trans1_to_0); |
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| 514 | return has_collision(tbox); |
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| 515 | } |
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| 516 | |
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| 517 | SIMD_FORCE_INLINE bool overlapping_trans_conservative2(const btAABB & box, |
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| 518 | const BT_BOX_BOX_TRANSFORM_CACHE & trans1_to_0) const |
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| 519 | { |
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| 520 | btAABB tbox = box; |
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| 521 | tbox.appy_transform_trans_cache(trans1_to_0); |
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| 522 | return has_collision(tbox); |
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| 523 | } |
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| 524 | |
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| 525 | //! transcache is the transformation cache from box to this AABB |
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| 526 | SIMD_FORCE_INLINE bool overlapping_trans_cache( |
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| 527 | const btAABB & box,const BT_BOX_BOX_TRANSFORM_CACHE & transcache, bool fulltest) const |
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| 528 | { |
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| 529 | |
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| 530 | //Taken from OPCODE |
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| 531 | btVector3 ea,eb;//extends |
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| 532 | btVector3 ca,cb;//extends |
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| 533 | get_center_extend(ca,ea); |
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| 534 | box.get_center_extend(cb,eb); |
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| 535 | |
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| 536 | |
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| 537 | btVector3 T; |
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| 538 | btScalar t,t2; |
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| 539 | int i; |
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| 540 | |
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| 541 | // Class I : A's basis vectors |
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| 542 | for(i=0;i<3;i++) |
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| 543 | { |
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| 544 | T[i] = transcache.m_R1to0[i].dot(cb) + transcache.m_T1to0[i] - ca[i]; |
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| 545 | t = transcache.m_AR[i].dot(eb) + ea[i]; |
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| 546 | if(BT_GREATER(T[i], t)) return false; |
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| 547 | } |
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| 548 | // Class II : B's basis vectors |
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| 549 | for(i=0;i<3;i++) |
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| 550 | { |
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| 551 | t = bt_mat3_dot_col(transcache.m_R1to0,T,i); |
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| 552 | t2 = bt_mat3_dot_col(transcache.m_AR,ea,i) + eb[i]; |
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| 553 | if(BT_GREATER(t,t2)) return false; |
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| 554 | } |
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| 555 | // Class III : 9 cross products |
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| 556 | if(fulltest) |
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| 557 | { |
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| 558 | int j,m,n,o,p,q,r; |
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| 559 | for(i=0;i<3;i++) |
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| 560 | { |
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| 561 | m = (i+1)%3; |
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| 562 | n = (i+2)%3; |
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| 563 | o = i==0?1:0; |
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| 564 | p = i==2?1:2; |
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| 565 | for(j=0;j<3;j++) |
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| 566 | { |
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| 567 | q = j==2?1:2; |
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| 568 | r = j==0?1:0; |
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| 569 | t = T[n]*transcache.m_R1to0[m][j] - T[m]*transcache.m_R1to0[n][j]; |
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| 570 | t2 = ea[o]*transcache.m_AR[p][j] + ea[p]*transcache.m_AR[o][j] + |
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| 571 | eb[r]*transcache.m_AR[i][q] + eb[q]*transcache.m_AR[i][r]; |
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| 572 | if(BT_GREATER(t,t2)) return false; |
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| 573 | } |
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| 574 | } |
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| 575 | } |
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| 576 | return true; |
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| 577 | } |
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| 578 | |
---|
| 579 | //! Simple test for planes. |
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| 580 | SIMD_FORCE_INLINE bool collide_plane( |
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| 581 | const btVector4 & plane) const |
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| 582 | { |
---|
| 583 | eBT_PLANE_INTERSECTION_TYPE classify = plane_classify(plane); |
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| 584 | return (classify == BT_CONST_COLLIDE_PLANE); |
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| 585 | } |
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| 586 | |
---|
| 587 | //! test for a triangle, with edges |
---|
| 588 | SIMD_FORCE_INLINE bool collide_triangle_exact( |
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| 589 | const btVector3 & p1, |
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| 590 | const btVector3 & p2, |
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| 591 | const btVector3 & p3, |
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| 592 | const btVector4 & triangle_plane) const |
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| 593 | { |
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| 594 | if(!collide_plane(triangle_plane)) return false; |
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| 595 | |
---|
| 596 | btVector3 center,extends; |
---|
| 597 | this->get_center_extend(center,extends); |
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| 598 | |
---|
| 599 | const btVector3 v1(p1 - center); |
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| 600 | const btVector3 v2(p2 - center); |
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| 601 | const btVector3 v3(p3 - center); |
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| 602 | |
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| 603 | //First axis |
---|
| 604 | btVector3 diff(v2 - v1); |
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| 605 | btVector3 abs_diff = diff.absolute(); |
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| 606 | //Test With X axis |
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| 607 | TEST_CROSS_EDGE_BOX_X_AXIS_MCR(diff,abs_diff,v1,v3,extends); |
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| 608 | //Test With Y axis |
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| 609 | TEST_CROSS_EDGE_BOX_Y_AXIS_MCR(diff,abs_diff,v1,v3,extends); |
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| 610 | //Test With Z axis |
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| 611 | TEST_CROSS_EDGE_BOX_Z_AXIS_MCR(diff,abs_diff,v1,v3,extends); |
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| 612 | |
---|
| 613 | |
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| 614 | diff = v3 - v2; |
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| 615 | abs_diff = diff.absolute(); |
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| 616 | //Test With X axis |
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| 617 | TEST_CROSS_EDGE_BOX_X_AXIS_MCR(diff,abs_diff,v2,v1,extends); |
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| 618 | //Test With Y axis |
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| 619 | TEST_CROSS_EDGE_BOX_Y_AXIS_MCR(diff,abs_diff,v2,v1,extends); |
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| 620 | //Test With Z axis |
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| 621 | TEST_CROSS_EDGE_BOX_Z_AXIS_MCR(diff,abs_diff,v2,v1,extends); |
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| 622 | |
---|
| 623 | diff = v1 - v3; |
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| 624 | abs_diff = diff.absolute(); |
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| 625 | //Test With X axis |
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| 626 | TEST_CROSS_EDGE_BOX_X_AXIS_MCR(diff,abs_diff,v3,v2,extends); |
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| 627 | //Test With Y axis |
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| 628 | TEST_CROSS_EDGE_BOX_Y_AXIS_MCR(diff,abs_diff,v3,v2,extends); |
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| 629 | //Test With Z axis |
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| 630 | TEST_CROSS_EDGE_BOX_Z_AXIS_MCR(diff,abs_diff,v3,v2,extends); |
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| 631 | |
---|
| 632 | return true; |
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| 633 | } |
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| 634 | }; |
---|
| 635 | |
---|
| 636 | |
---|
| 637 | //! Compairison of transformation objects |
---|
| 638 | SIMD_FORCE_INLINE bool btCompareTransformsEqual(const btTransform & t1,const btTransform & t2) |
---|
| 639 | { |
---|
| 640 | if(!(t1.getOrigin() == t2.getOrigin()) ) return false; |
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| 641 | |
---|
| 642 | if(!(t1.getBasis().getRow(0) == t2.getBasis().getRow(0)) ) return false; |
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| 643 | if(!(t1.getBasis().getRow(1) == t2.getBasis().getRow(1)) ) return false; |
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| 644 | if(!(t1.getBasis().getRow(2) == t2.getBasis().getRow(2)) ) return false; |
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| 645 | return true; |
---|
| 646 | } |
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| 647 | |
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| 648 | |
---|
| 649 | //! @} |
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| 650 | |
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| 651 | #endif // GIM_BOX_COLLISION_H_INCLUDED |
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