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 | } |
---|
576 | return true; |
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577 | } |
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578 | |
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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 | { |
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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 | |
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587 | //! test for a triangle, with edges |
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588 | SIMD_FORCE_INLINE bool collide_triangle_exact( |
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589 | const btVector3 & p1, |
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590 | const btVector3 & p2, |
---|
591 | const btVector3 & p3, |
---|
592 | const btVector4 & triangle_plane) const |
---|
593 | { |
---|
594 | if(!collide_plane(triangle_plane)) return false; |
---|
595 | |
---|
596 | btVector3 center,extends; |
---|
597 | this->get_center_extend(center,extends); |
---|
598 | |
---|
599 | const btVector3 v1(p1 - center); |
---|
600 | const btVector3 v2(p2 - center); |
---|
601 | const btVector3 v3(p3 - center); |
---|
602 | |
---|
603 | //First axis |
---|
604 | btVector3 diff(v2 - v1); |
---|
605 | btVector3 abs_diff = diff.absolute(); |
---|
606 | //Test With X axis |
---|
607 | TEST_CROSS_EDGE_BOX_X_AXIS_MCR(diff,abs_diff,v1,v3,extends); |
---|
608 | //Test With Y axis |
---|
609 | TEST_CROSS_EDGE_BOX_Y_AXIS_MCR(diff,abs_diff,v1,v3,extends); |
---|
610 | //Test With Z axis |
---|
611 | TEST_CROSS_EDGE_BOX_Z_AXIS_MCR(diff,abs_diff,v1,v3,extends); |
---|
612 | |
---|
613 | |
---|
614 | diff = v3 - v2; |
---|
615 | abs_diff = diff.absolute(); |
---|
616 | //Test With X axis |
---|
617 | TEST_CROSS_EDGE_BOX_X_AXIS_MCR(diff,abs_diff,v2,v1,extends); |
---|
618 | //Test With Y axis |
---|
619 | TEST_CROSS_EDGE_BOX_Y_AXIS_MCR(diff,abs_diff,v2,v1,extends); |
---|
620 | //Test With Z axis |
---|
621 | TEST_CROSS_EDGE_BOX_Z_AXIS_MCR(diff,abs_diff,v2,v1,extends); |
---|
622 | |
---|
623 | diff = v1 - v3; |
---|
624 | abs_diff = diff.absolute(); |
---|
625 | //Test With X axis |
---|
626 | TEST_CROSS_EDGE_BOX_X_AXIS_MCR(diff,abs_diff,v3,v2,extends); |
---|
627 | //Test With Y axis |
---|
628 | TEST_CROSS_EDGE_BOX_Y_AXIS_MCR(diff,abs_diff,v3,v2,extends); |
---|
629 | //Test With Z axis |
---|
630 | TEST_CROSS_EDGE_BOX_Z_AXIS_MCR(diff,abs_diff,v3,v2,extends); |
---|
631 | |
---|
632 | return true; |
---|
633 | } |
---|
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; |
---|
641 | |
---|
642 | if(!(t1.getBasis().getRow(0) == t2.getBasis().getRow(0)) ) return false; |
---|
643 | if(!(t1.getBasis().getRow(1) == t2.getBasis().getRow(1)) ) return false; |
---|
644 | if(!(t1.getBasis().getRow(2) == t2.getBasis().getRow(2)) ) return false; |
---|
645 | return true; |
---|
646 | } |
---|
647 | |
---|
648 | |
---|
649 | //! @} |
---|
650 | |
---|
651 | #endif // GIM_BOX_COLLISION_H_INCLUDED |
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