| 1 | #ifndef GIM_BOX_COLLISION_H_INCLUDED |
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| 2 | #define GIM_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 | ----------------------------------------------------------------------------- |
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| 9 | This source file is part of GIMPACT Library. |
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| 10 | |
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| 11 | For the latest info, see http://gimpact.sourceforge.net/ |
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| 12 | |
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| 13 | Copyright (c) 2006 Francisco Leon Najera. C.C. 80087371. |
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| 14 | email: projectileman@yahoo.com |
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| 15 | |
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| 16 | This library is free software; you can redistribute it and/or |
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| 17 | modify it under the terms of EITHER: |
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| 18 | (1) The GNU Lesser General Public License as published by the Free |
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| 19 | Software Foundation; either version 2.1 of the License, or (at |
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| 20 | your option) any later version. The text of the GNU Lesser |
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| 21 | General Public License is included with this library in the |
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| 22 | file GIMPACT-LICENSE-LGPL.TXT. |
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| 23 | (2) The BSD-style license that is included with this library in |
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| 24 | the file GIMPACT-LICENSE-BSD.TXT. |
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| 25 | (3) The zlib/libpng license that is included with this library in |
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| 26 | the file GIMPACT-LICENSE-ZLIB.TXT. |
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| 27 | |
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| 28 | This library is distributed in the hope that it will be useful, |
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| 29 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
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| 30 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the files |
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| 31 | GIMPACT-LICENSE-LGPL.TXT, GIMPACT-LICENSE-ZLIB.TXT and GIMPACT-LICENSE-BSD.TXT for more details. |
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| 32 | |
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| 33 | ----------------------------------------------------------------------------- |
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| 34 | */ |
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| 35 | #include "gim_basic_geometry_operations.h" |
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| 36 | #include "LinearMath/btTransform.h" |
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| 37 | |
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| 38 | |
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| 39 | |
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| 40 | //SIMD_FORCE_INLINE bool test_cross_edge_box( |
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| 41 | // const btVector3 & edge, |
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| 42 | // const btVector3 & absolute_edge, |
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| 43 | // const btVector3 & pointa, |
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| 44 | // const btVector3 & pointb, const btVector3 & extend, |
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| 45 | // int dir_index0, |
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| 46 | // int dir_index1 |
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| 47 | // int component_index0, |
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| 48 | // int component_index1) |
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| 49 | //{ |
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| 50 | // // dir coords are -z and y |
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| 51 | // |
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| 52 | // const btScalar dir0 = -edge[dir_index0]; |
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| 53 | // const btScalar dir1 = edge[dir_index1]; |
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| 54 | // btScalar pmin = pointa[component_index0]*dir0 + pointa[component_index1]*dir1; |
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| 55 | // btScalar pmax = pointb[component_index0]*dir0 + pointb[component_index1]*dir1; |
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| 56 | // //find minmax |
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| 57 | // if(pmin>pmax) |
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| 58 | // { |
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| 59 | // GIM_SWAP_NUMBERS(pmin,pmax); |
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| 60 | // } |
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| 61 | // //find extends |
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| 62 | // const btScalar rad = extend[component_index0] * absolute_edge[dir_index0] + |
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| 63 | // extend[component_index1] * absolute_edge[dir_index1]; |
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| 64 | // |
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| 65 | // if(pmin>rad || -rad>pmax) return false; |
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| 66 | // return true; |
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| 67 | //} |
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| 68 | // |
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| 69 | //SIMD_FORCE_INLINE bool test_cross_edge_box_X_axis( |
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| 70 | // const btVector3 & edge, |
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| 71 | // const btVector3 & absolute_edge, |
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| 72 | // const btVector3 & pointa, |
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| 73 | // const btVector3 & pointb, btVector3 & extend) |
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| 74 | //{ |
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| 75 | // |
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| 76 | // return test_cross_edge_box(edge,absolute_edge,pointa,pointb,extend,2,1,1,2); |
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| 77 | //} |
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| 78 | // |
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| 79 | // |
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| 80 | //SIMD_FORCE_INLINE bool test_cross_edge_box_Y_axis( |
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| 81 | // const btVector3 & edge, |
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| 82 | // const btVector3 & absolute_edge, |
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| 83 | // const btVector3 & pointa, |
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| 84 | // const btVector3 & pointb, btVector3 & extend) |
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| 85 | //{ |
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| 86 | // |
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| 87 | // return test_cross_edge_box(edge,absolute_edge,pointa,pointb,extend,0,2,2,0); |
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| 88 | //} |
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| 89 | // |
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| 90 | //SIMD_FORCE_INLINE bool test_cross_edge_box_Z_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,1,0,0,1); |
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| 98 | //} |
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| 99 | |
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| 100 | #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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| 101 | {\ |
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| 102 | const btScalar dir0 = -edge[i_dir_0];\ |
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| 103 | const btScalar dir1 = edge[i_dir_1];\ |
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| 104 | btScalar pmin = pointa[i_comp_0]*dir0 + pointa[i_comp_1]*dir1;\ |
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| 105 | btScalar pmax = pointb[i_comp_0]*dir0 + pointb[i_comp_1]*dir1;\ |
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| 106 | if(pmin>pmax)\ |
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| 107 | {\ |
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| 108 | GIM_SWAP_NUMBERS(pmin,pmax); \ |
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| 109 | }\ |
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| 110 | const btScalar abs_dir0 = absolute_edge[i_dir_0];\ |
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| 111 | const btScalar abs_dir1 = absolute_edge[i_dir_1];\ |
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| 112 | const btScalar rad = _extend[i_comp_0] * abs_dir0 + _extend[i_comp_1] * abs_dir1;\ |
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| 113 | if(pmin>rad || -rad>pmax) return false;\ |
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| 114 | }\ |
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| 115 | |
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| 116 | |
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| 117 | #define TEST_CROSS_EDGE_BOX_X_AXIS_MCR(edge,absolute_edge,pointa,pointb,_extend)\ |
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| 118 | {\ |
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| 119 | TEST_CROSS_EDGE_BOX_MCR(edge,absolute_edge,pointa,pointb,_extend,2,1,1,2);\ |
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| 120 | }\ |
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| 121 | |
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| 122 | #define TEST_CROSS_EDGE_BOX_Y_AXIS_MCR(edge,absolute_edge,pointa,pointb,_extend)\ |
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| 123 | {\ |
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| 124 | TEST_CROSS_EDGE_BOX_MCR(edge,absolute_edge,pointa,pointb,_extend,0,2,2,0);\ |
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| 125 | }\ |
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| 126 | |
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| 127 | #define TEST_CROSS_EDGE_BOX_Z_AXIS_MCR(edge,absolute_edge,pointa,pointb,_extend)\ |
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| 128 | {\ |
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| 129 | TEST_CROSS_EDGE_BOX_MCR(edge,absolute_edge,pointa,pointb,_extend,1,0,0,1);\ |
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| 130 | }\ |
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| 131 | |
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| 132 | |
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| 133 | |
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| 134 | //! Class for transforming a model1 to the space of model0 |
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| 135 | class GIM_BOX_BOX_TRANSFORM_CACHE |
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| 136 | { |
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| 137 | public: |
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| 138 | btVector3 m_T1to0;//!< Transforms translation of model1 to model 0 |
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| 139 | btMatrix3x3 m_R1to0;//!< Transforms Rotation of model1 to model 0, equal to R0' * R1 |
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| 140 | btMatrix3x3 m_AR;//!< Absolute value of m_R1to0 |
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| 141 | |
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| 142 | SIMD_FORCE_INLINE void calc_absolute_matrix() |
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| 143 | { |
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| 144 | static const btVector3 vepsi(1e-6f,1e-6f,1e-6f); |
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| 145 | m_AR[0] = vepsi + m_R1to0[0].absolute(); |
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| 146 | m_AR[1] = vepsi + m_R1to0[1].absolute(); |
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| 147 | m_AR[2] = vepsi + m_R1to0[2].absolute(); |
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| 148 | } |
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| 149 | |
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| 150 | GIM_BOX_BOX_TRANSFORM_CACHE() |
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| 151 | { |
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| 152 | } |
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| 153 | |
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| 154 | |
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| 155 | GIM_BOX_BOX_TRANSFORM_CACHE(mat4f trans1_to_0) |
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| 156 | { |
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| 157 | COPY_MATRIX_3X3(m_R1to0,trans1_to_0) |
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| 158 | MAT_GET_TRANSLATION(trans1_to_0,m_T1to0) |
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| 159 | calc_absolute_matrix(); |
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| 160 | } |
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| 161 | |
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| 162 | //! Calc the transformation relative 1 to 0. Inverts matrics by transposing |
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| 163 | SIMD_FORCE_INLINE void calc_from_homogenic(const btTransform & trans0,const btTransform & trans1) |
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| 164 | { |
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| 165 | |
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| 166 | m_R1to0 = trans0.getBasis().transpose(); |
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| 167 | m_T1to0 = m_R1to0 * (-trans0.getOrigin()); |
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| 168 | |
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| 169 | m_T1to0 += m_R1to0*trans1.getOrigin(); |
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| 170 | m_R1to0 *= trans1.getBasis(); |
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| 171 | |
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| 172 | calc_absolute_matrix(); |
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| 173 | } |
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| 174 | |
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| 175 | //! Calcs the full invertion of the matrices. Useful for scaling matrices |
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| 176 | SIMD_FORCE_INLINE void calc_from_full_invert(const btTransform & trans0,const btTransform & trans1) |
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| 177 | { |
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| 178 | m_R1to0 = trans0.getBasis().inverse(); |
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| 179 | m_T1to0 = m_R1to0 * (-trans0.getOrigin()); |
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| 180 | |
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| 181 | m_T1to0 += m_R1to0*trans1.getOrigin(); |
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| 182 | m_R1to0 *= trans1.getBasis(); |
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| 183 | |
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| 184 | calc_absolute_matrix(); |
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| 185 | } |
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| 186 | |
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| 187 | SIMD_FORCE_INLINE btVector3 transform(const btVector3 & point) |
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| 188 | { |
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| 189 | return btVector3(m_R1to0[0].dot(point) + m_T1to0.x(), |
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| 190 | m_R1to0[1].dot(point) + m_T1to0.y(), |
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| 191 | m_R1to0[2].dot(point) + m_T1to0.z()); |
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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 | #define BOX_PLANE_EPSILON 0.000001f |
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| 197 | |
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| 198 | //! Axis aligned box |
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| 199 | class GIM_AABB |
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| 200 | { |
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| 201 | public: |
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| 202 | btVector3 m_min; |
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| 203 | btVector3 m_max; |
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| 204 | |
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| 205 | GIM_AABB() |
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| 206 | {} |
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| 207 | |
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| 208 | |
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| 209 | GIM_AABB(const btVector3 & V1, |
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| 210 | const btVector3 & V2, |
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| 211 | const btVector3 & V3) |
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| 212 | { |
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| 213 | m_min[0] = GIM_MIN3(V1[0],V2[0],V3[0]); |
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| 214 | m_min[1] = GIM_MIN3(V1[1],V2[1],V3[1]); |
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| 215 | m_min[2] = GIM_MIN3(V1[2],V2[2],V3[2]); |
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| 216 | |
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| 217 | m_max[0] = GIM_MAX3(V1[0],V2[0],V3[0]); |
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| 218 | m_max[1] = GIM_MAX3(V1[1],V2[1],V3[1]); |
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| 219 | m_max[2] = GIM_MAX3(V1[2],V2[2],V3[2]); |
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| 220 | } |
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| 221 | |
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| 222 | GIM_AABB(const btVector3 & V1, |
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| 223 | const btVector3 & V2, |
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| 224 | const btVector3 & V3, |
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| 225 | GREAL margin) |
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| 226 | { |
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| 227 | m_min[0] = GIM_MIN3(V1[0],V2[0],V3[0]); |
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| 228 | m_min[1] = GIM_MIN3(V1[1],V2[1],V3[1]); |
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| 229 | m_min[2] = GIM_MIN3(V1[2],V2[2],V3[2]); |
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| 230 | |
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| 231 | m_max[0] = GIM_MAX3(V1[0],V2[0],V3[0]); |
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| 232 | m_max[1] = GIM_MAX3(V1[1],V2[1],V3[1]); |
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| 233 | m_max[2] = GIM_MAX3(V1[2],V2[2],V3[2]); |
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| 234 | |
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| 235 | m_min[0] -= margin; |
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| 236 | m_min[1] -= margin; |
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| 237 | m_min[2] -= margin; |
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| 238 | m_max[0] += margin; |
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| 239 | m_max[1] += margin; |
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| 240 | m_max[2] += margin; |
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| 241 | } |
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| 242 | |
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| 243 | GIM_AABB(const GIM_AABB &other): |
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| 244 | m_min(other.m_min),m_max(other.m_max) |
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| 245 | { |
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| 246 | } |
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| 247 | |
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| 248 | GIM_AABB(const GIM_AABB &other,btScalar margin ): |
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| 249 | m_min(other.m_min),m_max(other.m_max) |
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| 250 | { |
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| 251 | m_min[0] -= margin; |
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| 252 | m_min[1] -= margin; |
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| 253 | m_min[2] -= margin; |
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| 254 | m_max[0] += margin; |
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| 255 | m_max[1] += margin; |
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| 256 | m_max[2] += margin; |
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| 257 | } |
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| 258 | |
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| 259 | SIMD_FORCE_INLINE void invalidate() |
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| 260 | { |
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| 261 | m_min[0] = G_REAL_INFINITY; |
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| 262 | m_min[1] = G_REAL_INFINITY; |
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| 263 | m_min[2] = G_REAL_INFINITY; |
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| 264 | m_max[0] = -G_REAL_INFINITY; |
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| 265 | m_max[1] = -G_REAL_INFINITY; |
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| 266 | m_max[2] = -G_REAL_INFINITY; |
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| 267 | } |
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| 268 | |
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| 269 | SIMD_FORCE_INLINE void increment_margin(btScalar margin) |
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| 270 | { |
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| 271 | m_min[0] -= margin; |
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| 272 | m_min[1] -= margin; |
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| 273 | m_min[2] -= margin; |
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| 274 | m_max[0] += margin; |
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| 275 | m_max[1] += margin; |
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| 276 | m_max[2] += margin; |
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| 277 | } |
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| 278 | |
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| 279 | SIMD_FORCE_INLINE void copy_with_margin(const GIM_AABB &other, btScalar margin) |
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| 280 | { |
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| 281 | m_min[0] = other.m_min[0] - margin; |
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| 282 | m_min[1] = other.m_min[1] - margin; |
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| 283 | m_min[2] = other.m_min[2] - margin; |
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| 284 | |
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| 285 | m_max[0] = other.m_max[0] + margin; |
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| 286 | m_max[1] = other.m_max[1] + margin; |
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| 287 | m_max[2] = other.m_max[2] + margin; |
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| 288 | } |
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| 289 | |
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| 290 | template<typename CLASS_POINT> |
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| 291 | SIMD_FORCE_INLINE void calc_from_triangle( |
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| 292 | const CLASS_POINT & V1, |
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| 293 | const CLASS_POINT & V2, |
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| 294 | const CLASS_POINT & V3) |
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| 295 | { |
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| 296 | m_min[0] = GIM_MIN3(V1[0],V2[0],V3[0]); |
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| 297 | m_min[1] = GIM_MIN3(V1[1],V2[1],V3[1]); |
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| 298 | m_min[2] = GIM_MIN3(V1[2],V2[2],V3[2]); |
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| 299 | |
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| 300 | m_max[0] = GIM_MAX3(V1[0],V2[0],V3[0]); |
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| 301 | m_max[1] = GIM_MAX3(V1[1],V2[1],V3[1]); |
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| 302 | m_max[2] = GIM_MAX3(V1[2],V2[2],V3[2]); |
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| 303 | } |
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| 304 | |
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| 305 | template<typename CLASS_POINT> |
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| 306 | SIMD_FORCE_INLINE void calc_from_triangle_margin( |
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| 307 | const CLASS_POINT & V1, |
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| 308 | const CLASS_POINT & V2, |
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| 309 | const CLASS_POINT & V3, btScalar margin) |
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| 310 | { |
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| 311 | m_min[0] = GIM_MIN3(V1[0],V2[0],V3[0]); |
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| 312 | m_min[1] = GIM_MIN3(V1[1],V2[1],V3[1]); |
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| 313 | m_min[2] = GIM_MIN3(V1[2],V2[2],V3[2]); |
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| 314 | |
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| 315 | m_max[0] = GIM_MAX3(V1[0],V2[0],V3[0]); |
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| 316 | m_max[1] = GIM_MAX3(V1[1],V2[1],V3[1]); |
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| 317 | m_max[2] = GIM_MAX3(V1[2],V2[2],V3[2]); |
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| 318 | |
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| 319 | m_min[0] -= margin; |
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| 320 | m_min[1] -= margin; |
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| 321 | m_min[2] -= margin; |
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| 322 | m_max[0] += margin; |
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| 323 | m_max[1] += margin; |
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| 324 | m_max[2] += margin; |
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| 325 | } |
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| 326 | |
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| 327 | //! Apply a transform to an AABB |
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| 328 | SIMD_FORCE_INLINE void appy_transform(const btTransform & trans) |
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| 329 | { |
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| 330 | btVector3 center = (m_max+m_min)*0.5f; |
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| 331 | btVector3 extends = m_max - center; |
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| 332 | // Compute new center |
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| 333 | center = trans(center); |
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| 334 | |
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| 335 | btVector3 textends(extends.dot(trans.getBasis().getRow(0).absolute()), |
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| 336 | extends.dot(trans.getBasis().getRow(1).absolute()), |
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| 337 | extends.dot(trans.getBasis().getRow(2).absolute())); |
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| 338 | |
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| 339 | m_min = center - textends; |
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| 340 | m_max = center + textends; |
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| 341 | } |
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| 342 | |
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| 343 | //! Merges a Box |
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| 344 | SIMD_FORCE_INLINE void merge(const GIM_AABB & box) |
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| 345 | { |
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| 346 | m_min[0] = GIM_MIN(m_min[0],box.m_min[0]); |
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| 347 | m_min[1] = GIM_MIN(m_min[1],box.m_min[1]); |
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| 348 | m_min[2] = GIM_MIN(m_min[2],box.m_min[2]); |
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| 349 | |
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| 350 | m_max[0] = GIM_MAX(m_max[0],box.m_max[0]); |
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| 351 | m_max[1] = GIM_MAX(m_max[1],box.m_max[1]); |
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| 352 | m_max[2] = GIM_MAX(m_max[2],box.m_max[2]); |
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| 353 | } |
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| 354 | |
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| 355 | //! Merges a point |
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| 356 | template<typename CLASS_POINT> |
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| 357 | SIMD_FORCE_INLINE void merge_point(const CLASS_POINT & point) |
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| 358 | { |
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| 359 | m_min[0] = GIM_MIN(m_min[0],point[0]); |
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| 360 | m_min[1] = GIM_MIN(m_min[1],point[1]); |
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| 361 | m_min[2] = GIM_MIN(m_min[2],point[2]); |
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| 362 | |
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| 363 | m_max[0] = GIM_MAX(m_max[0],point[0]); |
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| 364 | m_max[1] = GIM_MAX(m_max[1],point[1]); |
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| 365 | m_max[2] = GIM_MAX(m_max[2],point[2]); |
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| 366 | } |
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| 367 | |
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| 368 | //! Gets the extend and center |
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| 369 | SIMD_FORCE_INLINE void get_center_extend(btVector3 & center,btVector3 & extend) const |
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| 370 | { |
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| 371 | center = (m_max+m_min)*0.5f; |
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| 372 | extend = m_max - center; |
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| 373 | } |
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| 374 | |
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| 375 | //! Finds the intersecting box between this box and the other. |
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| 376 | SIMD_FORCE_INLINE void find_intersection(const GIM_AABB & other, GIM_AABB & intersection) const |
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| 377 | { |
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| 378 | intersection.m_min[0] = GIM_MAX(other.m_min[0],m_min[0]); |
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| 379 | intersection.m_min[1] = GIM_MAX(other.m_min[1],m_min[1]); |
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| 380 | intersection.m_min[2] = GIM_MAX(other.m_min[2],m_min[2]); |
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| 381 | |
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| 382 | intersection.m_max[0] = GIM_MIN(other.m_max[0],m_max[0]); |
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| 383 | intersection.m_max[1] = GIM_MIN(other.m_max[1],m_max[1]); |
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| 384 | intersection.m_max[2] = GIM_MIN(other.m_max[2],m_max[2]); |
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| 385 | } |
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| 386 | |
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| 387 | |
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| 388 | SIMD_FORCE_INLINE bool has_collision(const GIM_AABB & other) const |
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| 389 | { |
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| 390 | if(m_min[0] > other.m_max[0] || |
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| 391 | m_max[0] < other.m_min[0] || |
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| 392 | m_min[1] > other.m_max[1] || |
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| 393 | m_max[1] < other.m_min[1] || |
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| 394 | m_min[2] > other.m_max[2] || |
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| 395 | m_max[2] < other.m_min[2]) |
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| 396 | { |
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| 397 | return false; |
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| 398 | } |
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| 399 | return true; |
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| 400 | } |
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| 401 | |
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| 402 | /*! \brief Finds the Ray intersection parameter. |
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| 403 | \param aabb Aligned box |
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| 404 | \param vorigin A vec3f with the origin of the ray |
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| 405 | \param vdir A vec3f with the direction of the ray |
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| 406 | */ |
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| 407 | SIMD_FORCE_INLINE bool collide_ray(const btVector3 & vorigin,const btVector3 & vdir) |
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| 408 | { |
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| 409 | btVector3 extents,center; |
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| 410 | this->get_center_extend(center,extents);; |
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| 411 | |
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| 412 | btScalar Dx = vorigin[0] - center[0]; |
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| 413 | if(GIM_GREATER(Dx, extents[0]) && Dx*vdir[0]>=0.0f) return false; |
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| 414 | btScalar Dy = vorigin[1] - center[1]; |
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| 415 | if(GIM_GREATER(Dy, extents[1]) && Dy*vdir[1]>=0.0f) return false; |
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| 416 | btScalar Dz = vorigin[2] - center[2]; |
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| 417 | if(GIM_GREATER(Dz, extents[2]) && Dz*vdir[2]>=0.0f) return false; |
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| 418 | |
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| 419 | |
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| 420 | btScalar f = vdir[1] * Dz - vdir[2] * Dy; |
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| 421 | if(btFabs(f) > extents[1]*btFabs(vdir[2]) + extents[2]*btFabs(vdir[1])) return false; |
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| 422 | f = vdir[2] * Dx - vdir[0] * Dz; |
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| 423 | if(btFabs(f) > extents[0]*btFabs(vdir[2]) + extents[2]*btFabs(vdir[0]))return false; |
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| 424 | f = vdir[0] * Dy - vdir[1] * Dx; |
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| 425 | if(btFabs(f) > extents[0]*btFabs(vdir[1]) + extents[1]*btFabs(vdir[0]))return false; |
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| 426 | return true; |
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| 427 | } |
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| 428 | |
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| 429 | |
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| 430 | SIMD_FORCE_INLINE void projection_interval(const btVector3 & direction, btScalar &vmin, btScalar &vmax) const |
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| 431 | { |
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| 432 | btVector3 center = (m_max+m_min)*0.5f; |
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| 433 | btVector3 extend = m_max-center; |
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| 434 | |
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| 435 | btScalar _fOrigin = direction.dot(center); |
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| 436 | btScalar _fMaximumExtent = extend.dot(direction.absolute()); |
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| 437 | vmin = _fOrigin - _fMaximumExtent; |
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| 438 | vmax = _fOrigin + _fMaximumExtent; |
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| 439 | } |
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| 440 | |
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| 441 | SIMD_FORCE_INLINE ePLANE_INTERSECTION_TYPE plane_classify(const btVector4 &plane) const |
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| 442 | { |
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| 443 | btScalar _fmin,_fmax; |
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| 444 | this->projection_interval(plane,_fmin,_fmax); |
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| 445 | |
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| 446 | if(plane[3] > _fmax + BOX_PLANE_EPSILON) |
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| 447 | { |
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| 448 | return G_BACK_PLANE; // 0 |
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| 449 | } |
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| 450 | |
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| 451 | if(plane[3]+BOX_PLANE_EPSILON >=_fmin) |
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| 452 | { |
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| 453 | return G_COLLIDE_PLANE; //1 |
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| 454 | } |
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| 455 | return G_FRONT_PLANE;//2 |
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| 456 | } |
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| 457 | |
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| 458 | SIMD_FORCE_INLINE bool overlapping_trans_conservative(const GIM_AABB & box, btTransform & trans1_to_0) |
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| 459 | { |
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| 460 | GIM_AABB tbox = box; |
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| 461 | tbox.appy_transform(trans1_to_0); |
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| 462 | return has_collision(tbox); |
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| 463 | } |
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| 464 | |
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| 465 | //! transcache is the transformation cache from box to this AABB |
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| 466 | SIMD_FORCE_INLINE bool overlapping_trans_cache( |
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| 467 | const GIM_AABB & box,const GIM_BOX_BOX_TRANSFORM_CACHE & transcache, bool fulltest) |
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| 468 | { |
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| 469 | |
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| 470 | //Taken from OPCODE |
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| 471 | btVector3 ea,eb;//extends |
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| 472 | btVector3 ca,cb;//extends |
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| 473 | get_center_extend(ca,ea); |
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| 474 | box.get_center_extend(cb,eb); |
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| 475 | |
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| 476 | |
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| 477 | btVector3 T; |
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| 478 | btScalar t,t2; |
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| 479 | int i; |
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| 480 | |
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| 481 | // Class I : A's basis vectors |
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| 482 | for(i=0;i<3;i++) |
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| 483 | { |
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| 484 | T[i] = transcache.m_R1to0[i].dot(cb) + transcache.m_T1to0[i] - ca[i]; |
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| 485 | t = transcache.m_AR[i].dot(eb) + ea[i]; |
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| 486 | if(GIM_GREATER(T[i], t)) return false; |
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| 487 | } |
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| 488 | // Class II : B's basis vectors |
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| 489 | for(i=0;i<3;i++) |
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| 490 | { |
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| 491 | t = MAT_DOT_COL(transcache.m_R1to0,T,i); |
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| 492 | t2 = MAT_DOT_COL(transcache.m_AR,ea,i) + eb[i]; |
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| 493 | if(GIM_GREATER(t,t2)) return false; |
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| 494 | } |
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| 495 | // Class III : 9 cross products |
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| 496 | if(fulltest) |
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| 497 | { |
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| 498 | int j,m,n,o,p,q,r; |
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| 499 | for(i=0;i<3;i++) |
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| 500 | { |
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| 501 | m = (i+1)%3; |
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| 502 | n = (i+2)%3; |
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| 503 | o = i==0?1:0; |
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| 504 | p = i==2?1:2; |
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| 505 | for(j=0;j<3;j++) |
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| 506 | { |
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| 507 | q = j==2?1:2; |
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| 508 | r = j==0?1:0; |
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| 509 | t = T[n]*transcache.m_R1to0[m][j] - T[m]*transcache.m_R1to0[n][j]; |
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| 510 | t2 = ea[o]*transcache.m_AR[p][j] + ea[p]*transcache.m_AR[o][j] + |
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| 511 | eb[r]*transcache.m_AR[i][q] + eb[q]*transcache.m_AR[i][r]; |
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| 512 | if(GIM_GREATER(t,t2)) return false; |
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| 513 | } |
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| 514 | } |
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| 515 | } |
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| 516 | return true; |
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| 517 | } |
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| 518 | |
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| 519 | //! Simple test for planes. |
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| 520 | SIMD_FORCE_INLINE bool collide_plane( |
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| 521 | const btVector4 & plane) |
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| 522 | { |
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| 523 | ePLANE_INTERSECTION_TYPE classify = plane_classify(plane); |
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| 524 | return (classify == G_COLLIDE_PLANE); |
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| 525 | } |
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| 526 | |
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| 527 | //! test for a triangle, with edges |
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| 528 | SIMD_FORCE_INLINE bool collide_triangle_exact( |
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| 529 | const btVector3 & p1, |
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| 530 | const btVector3 & p2, |
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| 531 | const btVector3 & p3, |
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| 532 | const btVector4 & triangle_plane) |
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| 533 | { |
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| 534 | if(!collide_plane(triangle_plane)) return false; |
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| 535 | |
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| 536 | btVector3 center,extends; |
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| 537 | this->get_center_extend(center,extends); |
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| 538 | |
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| 539 | const btVector3 v1(p1 - center); |
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| 540 | const btVector3 v2(p2 - center); |
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| 541 | const btVector3 v3(p3 - center); |
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| 542 | |
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| 543 | //First axis |
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| 544 | btVector3 diff(v2 - v1); |
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| 545 | btVector3 abs_diff = diff.absolute(); |
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| 546 | //Test With X axis |
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| 547 | TEST_CROSS_EDGE_BOX_X_AXIS_MCR(diff,abs_diff,v1,v3,extends); |
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| 548 | //Test With Y axis |
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| 549 | TEST_CROSS_EDGE_BOX_Y_AXIS_MCR(diff,abs_diff,v1,v3,extends); |
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| 550 | //Test With Z axis |
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| 551 | TEST_CROSS_EDGE_BOX_Z_AXIS_MCR(diff,abs_diff,v1,v3,extends); |
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| 552 | |
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| 553 | |
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| 554 | diff = v3 - v2; |
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| 555 | abs_diff = diff.absolute(); |
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| 556 | //Test With X axis |
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| 557 | TEST_CROSS_EDGE_BOX_X_AXIS_MCR(diff,abs_diff,v2,v1,extends); |
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| 558 | //Test With Y axis |
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| 559 | TEST_CROSS_EDGE_BOX_Y_AXIS_MCR(diff,abs_diff,v2,v1,extends); |
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| 560 | //Test With Z axis |
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| 561 | TEST_CROSS_EDGE_BOX_Z_AXIS_MCR(diff,abs_diff,v2,v1,extends); |
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| 562 | |
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| 563 | diff = v1 - v3; |
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| 564 | abs_diff = diff.absolute(); |
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| 565 | //Test With X axis |
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| 566 | TEST_CROSS_EDGE_BOX_X_AXIS_MCR(diff,abs_diff,v3,v2,extends); |
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| 567 | //Test With Y axis |
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| 568 | TEST_CROSS_EDGE_BOX_Y_AXIS_MCR(diff,abs_diff,v3,v2,extends); |
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| 569 | //Test With Z axis |
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| 570 | TEST_CROSS_EDGE_BOX_Z_AXIS_MCR(diff,abs_diff,v3,v2,extends); |
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| 571 | |
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| 572 | return true; |
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| 573 | } |
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| 574 | }; |
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| 575 | |
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| 576 | |
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| 577 | //! Compairison of transformation objects |
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| 578 | SIMD_FORCE_INLINE bool btCompareTransformsEqual(const btTransform & t1,const btTransform & t2) |
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| 579 | { |
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| 580 | if(!(t1.getOrigin() == t2.getOrigin()) ) return false; |
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| 581 | |
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| 582 | if(!(t1.getBasis().getRow(0) == t2.getBasis().getRow(0)) ) return false; |
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| 583 | if(!(t1.getBasis().getRow(1) == t2.getBasis().getRow(1)) ) return false; |
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| 584 | if(!(t1.getBasis().getRow(2) == t2.getBasis().getRow(2)) ) return false; |
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| 585 | return true; |
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| 586 | } |
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| 587 | |
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| 588 | |
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| 589 | |
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| 590 | #endif // GIM_BOX_COLLISION_H_INCLUDED |
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