1 | /* |
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2 | * Box-Box collision detection re-distributed under the ZLib license with permission from Russell L. Smith |
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3 | * Original version is from Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. |
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4 | * All rights reserved. Email: russ@q12.org Web: www.q12.org |
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5 | Bullet Continuous Collision Detection and Physics Library |
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6 | Bullet is Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/ |
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7 | |
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8 | This software is provided 'as-is', without any express or implied warranty. |
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9 | In no event will the authors be held liable for any damages arising from the use of this software. |
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10 | Permission is granted to anyone to use this software for any purpose, |
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11 | including commercial applications, and to alter it and redistribute it freely, |
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12 | subject to the following restrictions: |
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13 | |
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14 | 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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15 | 2. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software. |
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16 | 3. This notice may not be removed or altered from any source distribution. |
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17 | */ |
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18 | |
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19 | ///ODE box-box collision detection is adapted to work with Bullet |
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20 | |
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21 | #include "btBoxBoxDetector.h" |
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22 | #include "BulletCollision/CollisionShapes/btBoxShape.h" |
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23 | |
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24 | #include <float.h> |
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25 | #include <string.h> |
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26 | |
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27 | btBoxBoxDetector::btBoxBoxDetector(btBoxShape* box1,btBoxShape* box2) |
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28 | : m_box1(box1), |
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29 | m_box2(box2) |
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30 | { |
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31 | |
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32 | } |
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33 | |
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34 | |
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35 | // given two boxes (p1,R1,side1) and (p2,R2,side2), collide them together and |
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36 | // generate contact points. this returns 0 if there is no contact otherwise |
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37 | // it returns the number of contacts generated. |
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38 | // `normal' returns the contact normal. |
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39 | // `depth' returns the maximum penetration depth along that normal. |
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40 | // `return_code' returns a number indicating the type of contact that was |
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41 | // detected: |
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42 | // 1,2,3 = box 2 intersects with a face of box 1 |
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43 | // 4,5,6 = box 1 intersects with a face of box 2 |
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44 | // 7..15 = edge-edge contact |
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45 | // `maxc' is the maximum number of contacts allowed to be generated, i.e. |
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46 | // the size of the `contact' array. |
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47 | // `contact' and `skip' are the contact array information provided to the |
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48 | // collision functions. this function only fills in the position and depth |
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49 | // fields. |
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50 | struct dContactGeom; |
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51 | #define dDOTpq(a,b,p,q) ((a)[0]*(b)[0] + (a)[p]*(b)[q] + (a)[2*(p)]*(b)[2*(q)]) |
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52 | #define dInfinity FLT_MAX |
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53 | |
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54 | |
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55 | /*PURE_INLINE btScalar dDOT (const btScalar *a, const btScalar *b) { return dDOTpq(a,b,1,1); } |
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56 | PURE_INLINE btScalar dDOT13 (const btScalar *a, const btScalar *b) { return dDOTpq(a,b,1,3); } |
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57 | PURE_INLINE btScalar dDOT31 (const btScalar *a, const btScalar *b) { return dDOTpq(a,b,3,1); } |
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58 | PURE_INLINE btScalar dDOT33 (const btScalar *a, const btScalar *b) { return dDOTpq(a,b,3,3); } |
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59 | */ |
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60 | static btScalar dDOT (const btScalar *a, const btScalar *b) { return dDOTpq(a,b,1,1); } |
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61 | static btScalar dDOT44 (const btScalar *a, const btScalar *b) { return dDOTpq(a,b,4,4); } |
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62 | static btScalar dDOT41 (const btScalar *a, const btScalar *b) { return dDOTpq(a,b,4,1); } |
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63 | static btScalar dDOT14 (const btScalar *a, const btScalar *b) { return dDOTpq(a,b,1,4); } |
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64 | #define dMULTIPLYOP1_331(A,op,B,C) \ |
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65 | {\ |
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66 | (A)[0] op dDOT41((B),(C)); \ |
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67 | (A)[1] op dDOT41((B+1),(C)); \ |
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68 | (A)[2] op dDOT41((B+2),(C)); \ |
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69 | } |
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70 | |
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71 | #define dMULTIPLYOP0_331(A,op,B,C) \ |
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72 | { \ |
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73 | (A)[0] op dDOT((B),(C)); \ |
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74 | (A)[1] op dDOT((B+4),(C)); \ |
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75 | (A)[2] op dDOT((B+8),(C)); \ |
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76 | } |
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77 | |
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78 | #define dMULTIPLY1_331(A,B,C) dMULTIPLYOP1_331(A,=,B,C) |
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79 | #define dMULTIPLY0_331(A,B,C) dMULTIPLYOP0_331(A,=,B,C) |
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80 | |
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81 | typedef btScalar dMatrix3[4*3]; |
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82 | |
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83 | void dLineClosestApproach (const btVector3& pa, const btVector3& ua, |
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84 | const btVector3& pb, const btVector3& ub, |
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85 | btScalar *alpha, btScalar *beta); |
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86 | void dLineClosestApproach (const btVector3& pa, const btVector3& ua, |
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87 | const btVector3& pb, const btVector3& ub, |
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88 | btScalar *alpha, btScalar *beta) |
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89 | { |
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90 | btVector3 p; |
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91 | p[0] = pb[0] - pa[0]; |
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92 | p[1] = pb[1] - pa[1]; |
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93 | p[2] = pb[2] - pa[2]; |
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94 | btScalar uaub = dDOT(ua,ub); |
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95 | btScalar q1 = dDOT(ua,p); |
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96 | btScalar q2 = -dDOT(ub,p); |
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97 | btScalar d = 1-uaub*uaub; |
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98 | if (d <= btScalar(0.0001f)) { |
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99 | // @@@ this needs to be made more robust |
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100 | *alpha = 0; |
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101 | *beta = 0; |
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102 | } |
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103 | else { |
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104 | d = 1.f/d; |
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105 | *alpha = (q1 + uaub*q2)*d; |
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106 | *beta = (uaub*q1 + q2)*d; |
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107 | } |
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108 | } |
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109 | |
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110 | |
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111 | |
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112 | // find all the intersection points between the 2D rectangle with vertices |
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113 | // at (+/-h[0],+/-h[1]) and the 2D quadrilateral with vertices (p[0],p[1]), |
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114 | // (p[2],p[3]),(p[4],p[5]),(p[6],p[7]). |
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115 | // |
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116 | // the intersection points are returned as x,y pairs in the 'ret' array. |
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117 | // the number of intersection points is returned by the function (this will |
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118 | // be in the range 0 to 8). |
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119 | |
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120 | static int intersectRectQuad2 (btScalar h[2], btScalar p[8], btScalar ret[16]) |
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121 | { |
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122 | // q (and r) contain nq (and nr) coordinate points for the current (and |
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123 | // chopped) polygons |
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124 | int nq=4,nr=0; |
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125 | btScalar buffer[16]; |
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126 | btScalar *q = p; |
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127 | btScalar *r = ret; |
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128 | for (int dir=0; dir <= 1; dir++) { |
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129 | // direction notation: xy[0] = x axis, xy[1] = y axis |
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130 | for (int sign=-1; sign <= 1; sign += 2) { |
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131 | // chop q along the line xy[dir] = sign*h[dir] |
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132 | btScalar *pq = q; |
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133 | btScalar *pr = r; |
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134 | nr = 0; |
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135 | for (int i=nq; i > 0; i--) { |
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136 | // go through all points in q and all lines between adjacent points |
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137 | if (sign*pq[dir] < h[dir]) { |
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138 | // this point is inside the chopping line |
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139 | pr[0] = pq[0]; |
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140 | pr[1] = pq[1]; |
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141 | pr += 2; |
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142 | nr++; |
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143 | if (nr & 8) { |
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144 | q = r; |
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145 | goto done; |
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146 | } |
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147 | } |
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148 | btScalar *nextq = (i > 1) ? pq+2 : q; |
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149 | if ((sign*pq[dir] < h[dir]) ^ (sign*nextq[dir] < h[dir])) { |
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150 | // this line crosses the chopping line |
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151 | pr[1-dir] = pq[1-dir] + (nextq[1-dir]-pq[1-dir]) / |
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152 | (nextq[dir]-pq[dir]) * (sign*h[dir]-pq[dir]); |
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153 | pr[dir] = sign*h[dir]; |
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154 | pr += 2; |
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155 | nr++; |
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156 | if (nr & 8) { |
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157 | q = r; |
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158 | goto done; |
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159 | } |
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160 | } |
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161 | pq += 2; |
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162 | } |
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163 | q = r; |
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164 | r = (q==ret) ? buffer : ret; |
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165 | nq = nr; |
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166 | } |
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167 | } |
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168 | done: |
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169 | if (q != ret) memcpy (ret,q,nr*2*sizeof(btScalar)); |
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170 | return nr; |
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171 | } |
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172 | |
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173 | |
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174 | #define M__PI 3.14159265f |
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175 | |
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176 | // given n points in the plane (array p, of size 2*n), generate m points that |
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177 | // best represent the whole set. the definition of 'best' here is not |
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178 | // predetermined - the idea is to select points that give good box-box |
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179 | // collision detection behavior. the chosen point indexes are returned in the |
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180 | // array iret (of size m). 'i0' is always the first entry in the array. |
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181 | // n must be in the range [1..8]. m must be in the range [1..n]. i0 must be |
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182 | // in the range [0..n-1]. |
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183 | |
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184 | void cullPoints2 (int n, btScalar p[], int m, int i0, int iret[]); |
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185 | void cullPoints2 (int n, btScalar p[], int m, int i0, int iret[]) |
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186 | { |
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187 | // compute the centroid of the polygon in cx,cy |
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188 | int i,j; |
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189 | btScalar a,cx,cy,q; |
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190 | if (n==1) { |
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191 | cx = p[0]; |
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192 | cy = p[1]; |
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193 | } |
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194 | else if (n==2) { |
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195 | cx = btScalar(0.5)*(p[0] + p[2]); |
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196 | cy = btScalar(0.5)*(p[1] + p[3]); |
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197 | } |
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198 | else { |
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199 | a = 0; |
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200 | cx = 0; |
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201 | cy = 0; |
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202 | for (i=0; i<(n-1); i++) { |
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203 | q = p[i*2]*p[i*2+3] - p[i*2+2]*p[i*2+1]; |
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204 | a += q; |
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205 | cx += q*(p[i*2]+p[i*2+2]); |
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206 | cy += q*(p[i*2+1]+p[i*2+3]); |
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207 | } |
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208 | q = p[n*2-2]*p[1] - p[0]*p[n*2-1]; |
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209 | if (btFabs(a+q) > SIMD_EPSILON) |
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210 | { |
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211 | a = 1.f/(btScalar(3.0)*(a+q)); |
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212 | } else |
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213 | { |
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214 | a=BT_LARGE_FLOAT; |
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215 | } |
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216 | cx = a*(cx + q*(p[n*2-2]+p[0])); |
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217 | cy = a*(cy + q*(p[n*2-1]+p[1])); |
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218 | } |
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219 | |
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220 | // compute the angle of each point w.r.t. the centroid |
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221 | btScalar A[8]; |
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222 | for (i=0; i<n; i++) A[i] = btAtan2(p[i*2+1]-cy,p[i*2]-cx); |
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223 | |
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224 | // search for points that have angles closest to A[i0] + i*(2*pi/m). |
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225 | int avail[8]; |
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226 | for (i=0; i<n; i++) avail[i] = 1; |
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227 | avail[i0] = 0; |
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228 | iret[0] = i0; |
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229 | iret++; |
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230 | for (j=1; j<m; j++) { |
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231 | a = btScalar(j)*(2*M__PI/m) + A[i0]; |
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232 | if (a > M__PI) a -= 2*M__PI; |
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233 | btScalar maxdiff=1e9,diff; |
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234 | |
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235 | *iret = i0; // iret is not allowed to keep this value, but it sometimes does, when diff=#QNAN0 |
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236 | |
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237 | for (i=0; i<n; i++) { |
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238 | if (avail[i]) { |
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239 | diff = btFabs (A[i]-a); |
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240 | if (diff > M__PI) diff = 2*M__PI - diff; |
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241 | if (diff < maxdiff) { |
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242 | maxdiff = diff; |
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243 | *iret = i; |
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244 | } |
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245 | } |
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246 | } |
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247 | #if defined(DEBUG) || defined (_DEBUG) |
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248 | btAssert (*iret != i0); // ensure iret got set |
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249 | #endif |
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250 | avail[*iret] = 0; |
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251 | iret++; |
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252 | } |
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253 | } |
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254 | |
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255 | |
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256 | |
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257 | int dBoxBox2 (const btVector3& p1, const dMatrix3 R1, |
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258 | const btVector3& side1, const btVector3& p2, |
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259 | const dMatrix3 R2, const btVector3& side2, |
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260 | btVector3& normal, btScalar *depth, int *return_code, |
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261 | int maxc, dContactGeom * /*contact*/, int /*skip*/,btDiscreteCollisionDetectorInterface::Result& output); |
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262 | int dBoxBox2 (const btVector3& p1, const dMatrix3 R1, |
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263 | const btVector3& side1, const btVector3& p2, |
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264 | const dMatrix3 R2, const btVector3& side2, |
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265 | btVector3& normal, btScalar *depth, int *return_code, |
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266 | int maxc, dContactGeom * /*contact*/, int /*skip*/,btDiscreteCollisionDetectorInterface::Result& output) |
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267 | { |
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268 | const btScalar fudge_factor = btScalar(1.05); |
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269 | btVector3 p,pp,normalC(0.f,0.f,0.f); |
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270 | const btScalar *normalR = 0; |
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271 | btScalar A[3],B[3],R11,R12,R13,R21,R22,R23,R31,R32,R33, |
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272 | Q11,Q12,Q13,Q21,Q22,Q23,Q31,Q32,Q33,s,s2,l; |
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273 | int i,j,invert_normal,code; |
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274 | |
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275 | // get vector from centers of box 1 to box 2, relative to box 1 |
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276 | p = p2 - p1; |
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277 | dMULTIPLY1_331 (pp,R1,p); // get pp = p relative to body 1 |
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278 | |
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279 | // get side lengths / 2 |
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280 | A[0] = side1[0]*btScalar(0.5); |
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281 | A[1] = side1[1]*btScalar(0.5); |
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282 | A[2] = side1[2]*btScalar(0.5); |
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283 | B[0] = side2[0]*btScalar(0.5); |
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284 | B[1] = side2[1]*btScalar(0.5); |
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285 | B[2] = side2[2]*btScalar(0.5); |
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286 | |
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287 | // Rij is R1'*R2, i.e. the relative rotation between R1 and R2 |
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288 | R11 = dDOT44(R1+0,R2+0); R12 = dDOT44(R1+0,R2+1); R13 = dDOT44(R1+0,R2+2); |
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289 | R21 = dDOT44(R1+1,R2+0); R22 = dDOT44(R1+1,R2+1); R23 = dDOT44(R1+1,R2+2); |
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290 | R31 = dDOT44(R1+2,R2+0); R32 = dDOT44(R1+2,R2+1); R33 = dDOT44(R1+2,R2+2); |
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291 | |
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292 | Q11 = btFabs(R11); Q12 = btFabs(R12); Q13 = btFabs(R13); |
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293 | Q21 = btFabs(R21); Q22 = btFabs(R22); Q23 = btFabs(R23); |
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294 | Q31 = btFabs(R31); Q32 = btFabs(R32); Q33 = btFabs(R33); |
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295 | |
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296 | // for all 15 possible separating axes: |
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297 | // * see if the axis separates the boxes. if so, return 0. |
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298 | // * find the depth of the penetration along the separating axis (s2) |
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299 | // * if this is the largest depth so far, record it. |
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300 | // the normal vector will be set to the separating axis with the smallest |
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301 | // depth. note: normalR is set to point to a column of R1 or R2 if that is |
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302 | // the smallest depth normal so far. otherwise normalR is 0 and normalC is |
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303 | // set to a vector relative to body 1. invert_normal is 1 if the sign of |
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304 | // the normal should be flipped. |
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305 | |
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306 | #define TST(expr1,expr2,norm,cc) \ |
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307 | s2 = btFabs(expr1) - (expr2); \ |
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308 | if (s2 > 0) return 0; \ |
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309 | if (s2 > s) { \ |
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310 | s = s2; \ |
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311 | normalR = norm; \ |
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312 | invert_normal = ((expr1) < 0); \ |
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313 | code = (cc); \ |
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314 | } |
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315 | |
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316 | s = -dInfinity; |
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317 | invert_normal = 0; |
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318 | code = 0; |
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319 | |
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320 | // separating axis = u1,u2,u3 |
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321 | TST (pp[0],(A[0] + B[0]*Q11 + B[1]*Q12 + B[2]*Q13),R1+0,1); |
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322 | TST (pp[1],(A[1] + B[0]*Q21 + B[1]*Q22 + B[2]*Q23),R1+1,2); |
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323 | TST (pp[2],(A[2] + B[0]*Q31 + B[1]*Q32 + B[2]*Q33),R1+2,3); |
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324 | |
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325 | // separating axis = v1,v2,v3 |
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326 | TST (dDOT41(R2+0,p),(A[0]*Q11 + A[1]*Q21 + A[2]*Q31 + B[0]),R2+0,4); |
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327 | TST (dDOT41(R2+1,p),(A[0]*Q12 + A[1]*Q22 + A[2]*Q32 + B[1]),R2+1,5); |
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328 | TST (dDOT41(R2+2,p),(A[0]*Q13 + A[1]*Q23 + A[2]*Q33 + B[2]),R2+2,6); |
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329 | |
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330 | // note: cross product axes need to be scaled when s is computed. |
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331 | // normal (n1,n2,n3) is relative to box 1. |
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332 | #undef TST |
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333 | #define TST(expr1,expr2,n1,n2,n3,cc) \ |
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334 | s2 = btFabs(expr1) - (expr2); \ |
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335 | if (s2 > SIMD_EPSILON) return 0; \ |
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336 | l = btSqrt((n1)*(n1) + (n2)*(n2) + (n3)*(n3)); \ |
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337 | if (l > SIMD_EPSILON) { \ |
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338 | s2 /= l; \ |
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339 | if (s2*fudge_factor > s) { \ |
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340 | s = s2; \ |
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341 | normalR = 0; \ |
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342 | normalC[0] = (n1)/l; normalC[1] = (n2)/l; normalC[2] = (n3)/l; \ |
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343 | invert_normal = ((expr1) < 0); \ |
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344 | code = (cc); \ |
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345 | } \ |
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346 | } |
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347 | |
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348 | btScalar fudge2 (1.0e-5f); |
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349 | |
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350 | Q11 += fudge2; |
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351 | Q12 += fudge2; |
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352 | Q13 += fudge2; |
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353 | |
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354 | Q21 += fudge2; |
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355 | Q22 += fudge2; |
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356 | Q23 += fudge2; |
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357 | |
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358 | Q31 += fudge2; |
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359 | Q32 += fudge2; |
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360 | Q33 += fudge2; |
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361 | |
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362 | // separating axis = u1 x (v1,v2,v3) |
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363 | TST(pp[2]*R21-pp[1]*R31,(A[1]*Q31+A[2]*Q21+B[1]*Q13+B[2]*Q12),0,-R31,R21,7); |
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364 | TST(pp[2]*R22-pp[1]*R32,(A[1]*Q32+A[2]*Q22+B[0]*Q13+B[2]*Q11),0,-R32,R22,8); |
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365 | TST(pp[2]*R23-pp[1]*R33,(A[1]*Q33+A[2]*Q23+B[0]*Q12+B[1]*Q11),0,-R33,R23,9); |
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366 | |
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367 | // separating axis = u2 x (v1,v2,v3) |
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368 | TST(pp[0]*R31-pp[2]*R11,(A[0]*Q31+A[2]*Q11+B[1]*Q23+B[2]*Q22),R31,0,-R11,10); |
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369 | TST(pp[0]*R32-pp[2]*R12,(A[0]*Q32+A[2]*Q12+B[0]*Q23+B[2]*Q21),R32,0,-R12,11); |
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370 | TST(pp[0]*R33-pp[2]*R13,(A[0]*Q33+A[2]*Q13+B[0]*Q22+B[1]*Q21),R33,0,-R13,12); |
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371 | |
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372 | // separating axis = u3 x (v1,v2,v3) |
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373 | TST(pp[1]*R11-pp[0]*R21,(A[0]*Q21+A[1]*Q11+B[1]*Q33+B[2]*Q32),-R21,R11,0,13); |
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374 | TST(pp[1]*R12-pp[0]*R22,(A[0]*Q22+A[1]*Q12+B[0]*Q33+B[2]*Q31),-R22,R12,0,14); |
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375 | TST(pp[1]*R13-pp[0]*R23,(A[0]*Q23+A[1]*Q13+B[0]*Q32+B[1]*Q31),-R23,R13,0,15); |
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376 | |
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377 | #undef TST |
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378 | |
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379 | if (!code) return 0; |
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380 | |
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381 | // if we get to this point, the boxes interpenetrate. compute the normal |
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382 | // in global coordinates. |
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383 | if (normalR) { |
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384 | normal[0] = normalR[0]; |
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385 | normal[1] = normalR[4]; |
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386 | normal[2] = normalR[8]; |
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387 | } |
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388 | else { |
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389 | dMULTIPLY0_331 (normal,R1,normalC); |
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390 | } |
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391 | if (invert_normal) { |
---|
392 | normal[0] = -normal[0]; |
---|
393 | normal[1] = -normal[1]; |
---|
394 | normal[2] = -normal[2]; |
---|
395 | } |
---|
396 | *depth = -s; |
---|
397 | |
---|
398 | // compute contact point(s) |
---|
399 | |
---|
400 | if (code > 6) { |
---|
401 | // an edge from box 1 touches an edge from box 2. |
---|
402 | // find a point pa on the intersecting edge of box 1 |
---|
403 | btVector3 pa; |
---|
404 | btScalar sign; |
---|
405 | for (i=0; i<3; i++) pa[i] = p1[i]; |
---|
406 | for (j=0; j<3; j++) { |
---|
407 | sign = (dDOT14(normal,R1+j) > 0) ? btScalar(1.0) : btScalar(-1.0); |
---|
408 | for (i=0; i<3; i++) pa[i] += sign * A[j] * R1[i*4+j]; |
---|
409 | } |
---|
410 | |
---|
411 | // find a point pb on the intersecting edge of box 2 |
---|
412 | btVector3 pb; |
---|
413 | for (i=0; i<3; i++) pb[i] = p2[i]; |
---|
414 | for (j=0; j<3; j++) { |
---|
415 | sign = (dDOT14(normal,R2+j) > 0) ? btScalar(-1.0) : btScalar(1.0); |
---|
416 | for (i=0; i<3; i++) pb[i] += sign * B[j] * R2[i*4+j]; |
---|
417 | } |
---|
418 | |
---|
419 | btScalar alpha,beta; |
---|
420 | btVector3 ua,ub; |
---|
421 | for (i=0; i<3; i++) ua[i] = R1[((code)-7)/3 + i*4]; |
---|
422 | for (i=0; i<3; i++) ub[i] = R2[((code)-7)%3 + i*4]; |
---|
423 | |
---|
424 | dLineClosestApproach (pa,ua,pb,ub,&alpha,&beta); |
---|
425 | for (i=0; i<3; i++) pa[i] += ua[i]*alpha; |
---|
426 | for (i=0; i<3; i++) pb[i] += ub[i]*beta; |
---|
427 | |
---|
428 | { |
---|
429 | |
---|
430 | //contact[0].pos[i] = btScalar(0.5)*(pa[i]+pb[i]); |
---|
431 | //contact[0].depth = *depth; |
---|
432 | btVector3 pointInWorld; |
---|
433 | |
---|
434 | #ifdef USE_CENTER_POINT |
---|
435 | for (i=0; i<3; i++) |
---|
436 | pointInWorld[i] = (pa[i]+pb[i])*btScalar(0.5); |
---|
437 | output.addContactPoint(-normal,pointInWorld,-*depth); |
---|
438 | #else |
---|
439 | output.addContactPoint(-normal,pb,-*depth); |
---|
440 | |
---|
441 | #endif // |
---|
442 | *return_code = code; |
---|
443 | } |
---|
444 | return 1; |
---|
445 | } |
---|
446 | |
---|
447 | // okay, we have a face-something intersection (because the separating |
---|
448 | // axis is perpendicular to a face). define face 'a' to be the reference |
---|
449 | // face (i.e. the normal vector is perpendicular to this) and face 'b' to be |
---|
450 | // the incident face (the closest face of the other box). |
---|
451 | |
---|
452 | const btScalar *Ra,*Rb,*pa,*pb,*Sa,*Sb; |
---|
453 | if (code <= 3) { |
---|
454 | Ra = R1; |
---|
455 | Rb = R2; |
---|
456 | pa = p1; |
---|
457 | pb = p2; |
---|
458 | Sa = A; |
---|
459 | Sb = B; |
---|
460 | } |
---|
461 | else { |
---|
462 | Ra = R2; |
---|
463 | Rb = R1; |
---|
464 | pa = p2; |
---|
465 | pb = p1; |
---|
466 | Sa = B; |
---|
467 | Sb = A; |
---|
468 | } |
---|
469 | |
---|
470 | // nr = normal vector of reference face dotted with axes of incident box. |
---|
471 | // anr = absolute values of nr. |
---|
472 | btVector3 normal2,nr,anr; |
---|
473 | if (code <= 3) { |
---|
474 | normal2[0] = normal[0]; |
---|
475 | normal2[1] = normal[1]; |
---|
476 | normal2[2] = normal[2]; |
---|
477 | } |
---|
478 | else { |
---|
479 | normal2[0] = -normal[0]; |
---|
480 | normal2[1] = -normal[1]; |
---|
481 | normal2[2] = -normal[2]; |
---|
482 | } |
---|
483 | dMULTIPLY1_331 (nr,Rb,normal2); |
---|
484 | anr[0] = btFabs (nr[0]); |
---|
485 | anr[1] = btFabs (nr[1]); |
---|
486 | anr[2] = btFabs (nr[2]); |
---|
487 | |
---|
488 | // find the largest compontent of anr: this corresponds to the normal |
---|
489 | // for the indident face. the other axis numbers of the indicent face |
---|
490 | // are stored in a1,a2. |
---|
491 | int lanr,a1,a2; |
---|
492 | if (anr[1] > anr[0]) { |
---|
493 | if (anr[1] > anr[2]) { |
---|
494 | a1 = 0; |
---|
495 | lanr = 1; |
---|
496 | a2 = 2; |
---|
497 | } |
---|
498 | else { |
---|
499 | a1 = 0; |
---|
500 | a2 = 1; |
---|
501 | lanr = 2; |
---|
502 | } |
---|
503 | } |
---|
504 | else { |
---|
505 | if (anr[0] > anr[2]) { |
---|
506 | lanr = 0; |
---|
507 | a1 = 1; |
---|
508 | a2 = 2; |
---|
509 | } |
---|
510 | else { |
---|
511 | a1 = 0; |
---|
512 | a2 = 1; |
---|
513 | lanr = 2; |
---|
514 | } |
---|
515 | } |
---|
516 | |
---|
517 | // compute center point of incident face, in reference-face coordinates |
---|
518 | btVector3 center; |
---|
519 | if (nr[lanr] < 0) { |
---|
520 | for (i=0; i<3; i++) center[i] = pb[i] - pa[i] + Sb[lanr] * Rb[i*4+lanr]; |
---|
521 | } |
---|
522 | else { |
---|
523 | for (i=0; i<3; i++) center[i] = pb[i] - pa[i] - Sb[lanr] * Rb[i*4+lanr]; |
---|
524 | } |
---|
525 | |
---|
526 | // find the normal and non-normal axis numbers of the reference box |
---|
527 | int codeN,code1,code2; |
---|
528 | if (code <= 3) codeN = code-1; else codeN = code-4; |
---|
529 | if (codeN==0) { |
---|
530 | code1 = 1; |
---|
531 | code2 = 2; |
---|
532 | } |
---|
533 | else if (codeN==1) { |
---|
534 | code1 = 0; |
---|
535 | code2 = 2; |
---|
536 | } |
---|
537 | else { |
---|
538 | code1 = 0; |
---|
539 | code2 = 1; |
---|
540 | } |
---|
541 | |
---|
542 | // find the four corners of the incident face, in reference-face coordinates |
---|
543 | btScalar quad[8]; // 2D coordinate of incident face (x,y pairs) |
---|
544 | btScalar c1,c2,m11,m12,m21,m22; |
---|
545 | c1 = dDOT14 (center,Ra+code1); |
---|
546 | c2 = dDOT14 (center,Ra+code2); |
---|
547 | // optimize this? - we have already computed this data above, but it is not |
---|
548 | // stored in an easy-to-index format. for now it's quicker just to recompute |
---|
549 | // the four dot products. |
---|
550 | m11 = dDOT44 (Ra+code1,Rb+a1); |
---|
551 | m12 = dDOT44 (Ra+code1,Rb+a2); |
---|
552 | m21 = dDOT44 (Ra+code2,Rb+a1); |
---|
553 | m22 = dDOT44 (Ra+code2,Rb+a2); |
---|
554 | { |
---|
555 | btScalar k1 = m11*Sb[a1]; |
---|
556 | btScalar k2 = m21*Sb[a1]; |
---|
557 | btScalar k3 = m12*Sb[a2]; |
---|
558 | btScalar k4 = m22*Sb[a2]; |
---|
559 | quad[0] = c1 - k1 - k3; |
---|
560 | quad[1] = c2 - k2 - k4; |
---|
561 | quad[2] = c1 - k1 + k3; |
---|
562 | quad[3] = c2 - k2 + k4; |
---|
563 | quad[4] = c1 + k1 + k3; |
---|
564 | quad[5] = c2 + k2 + k4; |
---|
565 | quad[6] = c1 + k1 - k3; |
---|
566 | quad[7] = c2 + k2 - k4; |
---|
567 | } |
---|
568 | |
---|
569 | // find the size of the reference face |
---|
570 | btScalar rect[2]; |
---|
571 | rect[0] = Sa[code1]; |
---|
572 | rect[1] = Sa[code2]; |
---|
573 | |
---|
574 | // intersect the incident and reference faces |
---|
575 | btScalar ret[16]; |
---|
576 | int n = intersectRectQuad2 (rect,quad,ret); |
---|
577 | if (n < 1) return 0; // this should never happen |
---|
578 | |
---|
579 | // convert the intersection points into reference-face coordinates, |
---|
580 | // and compute the contact position and depth for each point. only keep |
---|
581 | // those points that have a positive (penetrating) depth. delete points in |
---|
582 | // the 'ret' array as necessary so that 'point' and 'ret' correspond. |
---|
583 | btScalar point[3*8]; // penetrating contact points |
---|
584 | btScalar dep[8]; // depths for those points |
---|
585 | btScalar det1 = 1.f/(m11*m22 - m12*m21); |
---|
586 | m11 *= det1; |
---|
587 | m12 *= det1; |
---|
588 | m21 *= det1; |
---|
589 | m22 *= det1; |
---|
590 | int cnum = 0; // number of penetrating contact points found |
---|
591 | for (j=0; j < n; j++) { |
---|
592 | btScalar k1 = m22*(ret[j*2]-c1) - m12*(ret[j*2+1]-c2); |
---|
593 | btScalar k2 = -m21*(ret[j*2]-c1) + m11*(ret[j*2+1]-c2); |
---|
594 | for (i=0; i<3; i++) point[cnum*3+i] = |
---|
595 | center[i] + k1*Rb[i*4+a1] + k2*Rb[i*4+a2]; |
---|
596 | dep[cnum] = Sa[codeN] - dDOT(normal2,point+cnum*3); |
---|
597 | if (dep[cnum] >= 0) { |
---|
598 | ret[cnum*2] = ret[j*2]; |
---|
599 | ret[cnum*2+1] = ret[j*2+1]; |
---|
600 | cnum++; |
---|
601 | } |
---|
602 | } |
---|
603 | if (cnum < 1) return 0; // this should never happen |
---|
604 | |
---|
605 | // we can't generate more contacts than we actually have |
---|
606 | if (maxc > cnum) maxc = cnum; |
---|
607 | if (maxc < 1) maxc = 1; |
---|
608 | |
---|
609 | if (cnum <= maxc) { |
---|
610 | |
---|
611 | if (code<4) |
---|
612 | { |
---|
613 | // we have less contacts than we need, so we use them all |
---|
614 | for (j=0; j < cnum; j++) |
---|
615 | { |
---|
616 | btVector3 pointInWorld; |
---|
617 | for (i=0; i<3; i++) |
---|
618 | pointInWorld[i] = point[j*3+i] + pa[i]; |
---|
619 | output.addContactPoint(-normal,pointInWorld,-dep[j]); |
---|
620 | |
---|
621 | } |
---|
622 | } else |
---|
623 | { |
---|
624 | // we have less contacts than we need, so we use them all |
---|
625 | for (j=0; j < cnum; j++) |
---|
626 | { |
---|
627 | btVector3 pointInWorld; |
---|
628 | for (i=0; i<3; i++) |
---|
629 | pointInWorld[i] = point[j*3+i] + pa[i]-normal[i]*dep[j]; |
---|
630 | //pointInWorld[i] = point[j*3+i] + pa[i]; |
---|
631 | output.addContactPoint(-normal,pointInWorld,-dep[j]); |
---|
632 | } |
---|
633 | } |
---|
634 | } |
---|
635 | else { |
---|
636 | // we have more contacts than are wanted, some of them must be culled. |
---|
637 | // find the deepest point, it is always the first contact. |
---|
638 | int i1 = 0; |
---|
639 | btScalar maxdepth = dep[0]; |
---|
640 | for (i=1; i<cnum; i++) { |
---|
641 | if (dep[i] > maxdepth) { |
---|
642 | maxdepth = dep[i]; |
---|
643 | i1 = i; |
---|
644 | } |
---|
645 | } |
---|
646 | |
---|
647 | int iret[8]; |
---|
648 | cullPoints2 (cnum,ret,maxc,i1,iret); |
---|
649 | |
---|
650 | for (j=0; j < maxc; j++) { |
---|
651 | // dContactGeom *con = CONTACT(contact,skip*j); |
---|
652 | // for (i=0; i<3; i++) con->pos[i] = point[iret[j]*3+i] + pa[i]; |
---|
653 | // con->depth = dep[iret[j]]; |
---|
654 | |
---|
655 | btVector3 posInWorld; |
---|
656 | for (i=0; i<3; i++) |
---|
657 | posInWorld[i] = point[iret[j]*3+i] + pa[i]; |
---|
658 | if (code<4) |
---|
659 | { |
---|
660 | output.addContactPoint(-normal,posInWorld,-dep[iret[j]]); |
---|
661 | } else |
---|
662 | { |
---|
663 | output.addContactPoint(-normal,posInWorld-normal*dep[iret[j]],-dep[iret[j]]); |
---|
664 | } |
---|
665 | } |
---|
666 | cnum = maxc; |
---|
667 | } |
---|
668 | |
---|
669 | *return_code = code; |
---|
670 | return cnum; |
---|
671 | } |
---|
672 | |
---|
673 | void btBoxBoxDetector::getClosestPoints(const ClosestPointInput& input,Result& output,class btIDebugDraw* /*debugDraw*/,bool /*swapResults*/) |
---|
674 | { |
---|
675 | |
---|
676 | const btTransform& transformA = input.m_transformA; |
---|
677 | const btTransform& transformB = input.m_transformB; |
---|
678 | |
---|
679 | int skip = 0; |
---|
680 | dContactGeom *contact = 0; |
---|
681 | |
---|
682 | dMatrix3 R1; |
---|
683 | dMatrix3 R2; |
---|
684 | |
---|
685 | for (int j=0;j<3;j++) |
---|
686 | { |
---|
687 | R1[0+4*j] = transformA.getBasis()[j].x(); |
---|
688 | R2[0+4*j] = transformB.getBasis()[j].x(); |
---|
689 | |
---|
690 | R1[1+4*j] = transformA.getBasis()[j].y(); |
---|
691 | R2[1+4*j] = transformB.getBasis()[j].y(); |
---|
692 | |
---|
693 | |
---|
694 | R1[2+4*j] = transformA.getBasis()[j].z(); |
---|
695 | R2[2+4*j] = transformB.getBasis()[j].z(); |
---|
696 | |
---|
697 | } |
---|
698 | |
---|
699 | |
---|
700 | |
---|
701 | btVector3 normal; |
---|
702 | btScalar depth; |
---|
703 | int return_code; |
---|
704 | int maxc = 4; |
---|
705 | |
---|
706 | |
---|
707 | dBoxBox2 (transformA.getOrigin(), |
---|
708 | R1, |
---|
709 | 2.f*m_box1->getHalfExtentsWithMargin(), |
---|
710 | transformB.getOrigin(), |
---|
711 | R2, |
---|
712 | 2.f*m_box2->getHalfExtentsWithMargin(), |
---|
713 | normal, &depth, &return_code, |
---|
714 | maxc, contact, skip, |
---|
715 | output |
---|
716 | ); |
---|
717 | |
---|
718 | } |
---|