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author | dan miller | 2007-10-19 05:24:38 +0000 |
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committer | dan miller | 2007-10-19 05:24:38 +0000 |
commit | f205de7847da7ae1c10212d82e7042d0100b4ce0 (patch) | |
tree | 9acc9608a6880502aaeda43af52c33e278e95b9c /libraries/ode-0.9/OPCODE/OPC_BoxBoxOverlap.h | |
parent | trying to fix my screwup part deux (diff) | |
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from the start... checking in ode-0.9
Diffstat (limited to 'libraries/ode-0.9/OPCODE/OPC_BoxBoxOverlap.h')
-rw-r--r-- | libraries/ode-0.9/OPCODE/OPC_BoxBoxOverlap.h | 122 |
1 files changed, 122 insertions, 0 deletions
diff --git a/libraries/ode-0.9/OPCODE/OPC_BoxBoxOverlap.h b/libraries/ode-0.9/OPCODE/OPC_BoxBoxOverlap.h new file mode 100644 index 0000000..757a17d --- /dev/null +++ b/libraries/ode-0.9/OPCODE/OPC_BoxBoxOverlap.h | |||
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1 | /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// | ||
2 | /** | ||
3 | * OBB-OBB overlap test using the separating axis theorem. | ||
4 | * - original code by Gomez / Gamasutra (similar to Gottschalk's one in RAPID) | ||
5 | * - optimized for AABB trees by computing the rotation matrix once (SOLID-fashion) | ||
6 | * - the fabs matrix is precomputed as well and epsilon-tweaked (RAPID-style, we found this almost mandatory) | ||
7 | * - Class III axes can be disabled... (SOLID & Intel fashion) | ||
8 | * - ...or enabled to perform some profiling | ||
9 | * - CPU comparisons used when appropriate | ||
10 | * - lazy evaluation sometimes saves some work in case of early exits (unlike SOLID) | ||
11 | * | ||
12 | * \param ea [in] extents from box A | ||
13 | * \param ca [in] center from box A | ||
14 | * \param eb [in] extents from box B | ||
15 | * \param cb [in] center from box B | ||
16 | * \return true if boxes overlap | ||
17 | */ | ||
18 | /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// | ||
19 | inline_ BOOL AABBTreeCollider::BoxBoxOverlap(const Point& ea, const Point& ca, const Point& eb, const Point& cb) | ||
20 | { | ||
21 | // Stats | ||
22 | mNbBVBVTests++; | ||
23 | |||
24 | float t,t2; | ||
25 | |||
26 | // Class I : A's basis vectors | ||
27 | float Tx = (mR1to0.m[0][0]*cb.x + mR1to0.m[1][0]*cb.y + mR1to0.m[2][0]*cb.z) + mT1to0.x - ca.x; | ||
28 | t = ea.x + eb.x*mAR.m[0][0] + eb.y*mAR.m[1][0] + eb.z*mAR.m[2][0]; | ||
29 | if(GREATER(Tx, t)) return FALSE; | ||
30 | |||
31 | float Ty = (mR1to0.m[0][1]*cb.x + mR1to0.m[1][1]*cb.y + mR1to0.m[2][1]*cb.z) + mT1to0.y - ca.y; | ||
32 | t = ea.y + eb.x*mAR.m[0][1] + eb.y*mAR.m[1][1] + eb.z*mAR.m[2][1]; | ||
33 | if(GREATER(Ty, t)) return FALSE; | ||
34 | |||
35 | float Tz = (mR1to0.m[0][2]*cb.x + mR1to0.m[1][2]*cb.y + mR1to0.m[2][2]*cb.z) + mT1to0.z - ca.z; | ||
36 | t = ea.z + eb.x*mAR.m[0][2] + eb.y*mAR.m[1][2] + eb.z*mAR.m[2][2]; | ||
37 | if(GREATER(Tz, t)) return FALSE; | ||
38 | |||
39 | // Class II : B's basis vectors | ||
40 | t = Tx*mR1to0.m[0][0] + Ty*mR1to0.m[0][1] + Tz*mR1to0.m[0][2]; t2 = ea.x*mAR.m[0][0] + ea.y*mAR.m[0][1] + ea.z*mAR.m[0][2] + eb.x; | ||
41 | if(GREATER(t, t2)) return FALSE; | ||
42 | |||
43 | t = Tx*mR1to0.m[1][0] + Ty*mR1to0.m[1][1] + Tz*mR1to0.m[1][2]; t2 = ea.x*mAR.m[1][0] + ea.y*mAR.m[1][1] + ea.z*mAR.m[1][2] + eb.y; | ||
44 | if(GREATER(t, t2)) return FALSE; | ||
45 | |||
46 | t = Tx*mR1to0.m[2][0] + Ty*mR1to0.m[2][1] + Tz*mR1to0.m[2][2]; t2 = ea.x*mAR.m[2][0] + ea.y*mAR.m[2][1] + ea.z*mAR.m[2][2] + eb.z; | ||
47 | if(GREATER(t, t2)) return FALSE; | ||
48 | |||
49 | // Class III : 9 cross products | ||
50 | // Cool trick: always perform the full test for first level, regardless of settings. | ||
51 | // That way pathological cases (such as the pencils scene) are quickly rejected anyway ! | ||
52 | if(mFullBoxBoxTest || mNbBVBVTests==1) | ||
53 | { | ||
54 | t = Tz*mR1to0.m[0][1] - Ty*mR1to0.m[0][2]; t2 = ea.y*mAR.m[0][2] + ea.z*mAR.m[0][1] + eb.y*mAR.m[2][0] + eb.z*mAR.m[1][0]; if(GREATER(t, t2)) return FALSE; // L = A0 x B0 | ||
55 | t = Tz*mR1to0.m[1][1] - Ty*mR1to0.m[1][2]; t2 = ea.y*mAR.m[1][2] + ea.z*mAR.m[1][1] + eb.x*mAR.m[2][0] + eb.z*mAR.m[0][0]; if(GREATER(t, t2)) return FALSE; // L = A0 x B1 | ||
56 | t = Tz*mR1to0.m[2][1] - Ty*mR1to0.m[2][2]; t2 = ea.y*mAR.m[2][2] + ea.z*mAR.m[2][1] + eb.x*mAR.m[1][0] + eb.y*mAR.m[0][0]; if(GREATER(t, t2)) return FALSE; // L = A0 x B2 | ||
57 | t = Tx*mR1to0.m[0][2] - Tz*mR1to0.m[0][0]; t2 = ea.x*mAR.m[0][2] + ea.z*mAR.m[0][0] + eb.y*mAR.m[2][1] + eb.z*mAR.m[1][1]; if(GREATER(t, t2)) return FALSE; // L = A1 x B0 | ||
58 | t = Tx*mR1to0.m[1][2] - Tz*mR1to0.m[1][0]; t2 = ea.x*mAR.m[1][2] + ea.z*mAR.m[1][0] + eb.x*mAR.m[2][1] + eb.z*mAR.m[0][1]; if(GREATER(t, t2)) return FALSE; // L = A1 x B1 | ||
59 | t = Tx*mR1to0.m[2][2] - Tz*mR1to0.m[2][0]; t2 = ea.x*mAR.m[2][2] + ea.z*mAR.m[2][0] + eb.x*mAR.m[1][1] + eb.y*mAR.m[0][1]; if(GREATER(t, t2)) return FALSE; // L = A1 x B2 | ||
60 | t = Ty*mR1to0.m[0][0] - Tx*mR1to0.m[0][1]; t2 = ea.x*mAR.m[0][1] + ea.y*mAR.m[0][0] + eb.y*mAR.m[2][2] + eb.z*mAR.m[1][2]; if(GREATER(t, t2)) return FALSE; // L = A2 x B0 | ||
61 | t = Ty*mR1to0.m[1][0] - Tx*mR1to0.m[1][1]; t2 = ea.x*mAR.m[1][1] + ea.y*mAR.m[1][0] + eb.x*mAR.m[2][2] + eb.z*mAR.m[0][2]; if(GREATER(t, t2)) return FALSE; // L = A2 x B1 | ||
62 | t = Ty*mR1to0.m[2][0] - Tx*mR1to0.m[2][1]; t2 = ea.x*mAR.m[2][1] + ea.y*mAR.m[2][0] + eb.x*mAR.m[1][2] + eb.y*mAR.m[0][2]; if(GREATER(t, t2)) return FALSE; // L = A2 x B2 | ||
63 | } | ||
64 | return TRUE; | ||
65 | } | ||
66 | |||
67 | //! A dedicated version when one box is constant | ||
68 | inline_ BOOL OBBCollider::BoxBoxOverlap(const Point& extents, const Point& center) | ||
69 | { | ||
70 | // Stats | ||
71 | mNbVolumeBVTests++; | ||
72 | |||
73 | float t,t2; | ||
74 | |||
75 | // Class I : A's basis vectors | ||
76 | float Tx = mTBoxToModel.x - center.x; t = extents.x + mBBx1; if(GREATER(Tx, t)) return FALSE; | ||
77 | float Ty = mTBoxToModel.y - center.y; t = extents.y + mBBy1; if(GREATER(Ty, t)) return FALSE; | ||
78 | float Tz = mTBoxToModel.z - center.z; t = extents.z + mBBz1; if(GREATER(Tz, t)) return FALSE; | ||
79 | |||
80 | // Class II : B's basis vectors | ||
81 | t = Tx*mRBoxToModel.m[0][0] + Ty*mRBoxToModel.m[0][1] + Tz*mRBoxToModel.m[0][2]; | ||
82 | t2 = extents.x*mAR.m[0][0] + extents.y*mAR.m[0][1] + extents.z*mAR.m[0][2] + mBoxExtents.x; | ||
83 | if(GREATER(t, t2)) return FALSE; | ||
84 | |||
85 | t = Tx*mRBoxToModel.m[1][0] + Ty*mRBoxToModel.m[1][1] + Tz*mRBoxToModel.m[1][2]; | ||
86 | t2 = extents.x*mAR.m[1][0] + extents.y*mAR.m[1][1] + extents.z*mAR.m[1][2] + mBoxExtents.y; | ||
87 | if(GREATER(t, t2)) return FALSE; | ||
88 | |||
89 | t = Tx*mRBoxToModel.m[2][0] + Ty*mRBoxToModel.m[2][1] + Tz*mRBoxToModel.m[2][2]; | ||
90 | t2 = extents.x*mAR.m[2][0] + extents.y*mAR.m[2][1] + extents.z*mAR.m[2][2] + mBoxExtents.z; | ||
91 | if(GREATER(t, t2)) return FALSE; | ||
92 | |||
93 | // Class III : 9 cross products | ||
94 | // Cool trick: always perform the full test for first level, regardless of settings. | ||
95 | // That way pathological cases (such as the pencils scene) are quickly rejected anyway ! | ||
96 | if(mFullBoxBoxTest || mNbVolumeBVTests==1) | ||
97 | { | ||
98 | t = Tz*mRBoxToModel.m[0][1] - Ty*mRBoxToModel.m[0][2]; t2 = extents.y*mAR.m[0][2] + extents.z*mAR.m[0][1] + mBB_1; if(GREATER(t, t2)) return FALSE; // L = A0 x B0 | ||
99 | t = Tz*mRBoxToModel.m[1][1] - Ty*mRBoxToModel.m[1][2]; t2 = extents.y*mAR.m[1][2] + extents.z*mAR.m[1][1] + mBB_2; if(GREATER(t, t2)) return FALSE; // L = A0 x B1 | ||
100 | t = Tz*mRBoxToModel.m[2][1] - Ty*mRBoxToModel.m[2][2]; t2 = extents.y*mAR.m[2][2] + extents.z*mAR.m[2][1] + mBB_3; if(GREATER(t, t2)) return FALSE; // L = A0 x B2 | ||
101 | t = Tx*mRBoxToModel.m[0][2] - Tz*mRBoxToModel.m[0][0]; t2 = extents.x*mAR.m[0][2] + extents.z*mAR.m[0][0] + mBB_4; if(GREATER(t, t2)) return FALSE; // L = A1 x B0 | ||
102 | t = Tx*mRBoxToModel.m[1][2] - Tz*mRBoxToModel.m[1][0]; t2 = extents.x*mAR.m[1][2] + extents.z*mAR.m[1][0] + mBB_5; if(GREATER(t, t2)) return FALSE; // L = A1 x B1 | ||
103 | t = Tx*mRBoxToModel.m[2][2] - Tz*mRBoxToModel.m[2][0]; t2 = extents.x*mAR.m[2][2] + extents.z*mAR.m[2][0] + mBB_6; if(GREATER(t, t2)) return FALSE; // L = A1 x B2 | ||
104 | t = Ty*mRBoxToModel.m[0][0] - Tx*mRBoxToModel.m[0][1]; t2 = extents.x*mAR.m[0][1] + extents.y*mAR.m[0][0] + mBB_7; if(GREATER(t, t2)) return FALSE; // L = A2 x B0 | ||
105 | t = Ty*mRBoxToModel.m[1][0] - Tx*mRBoxToModel.m[1][1]; t2 = extents.x*mAR.m[1][1] + extents.y*mAR.m[1][0] + mBB_8; if(GREATER(t, t2)) return FALSE; // L = A2 x B1 | ||
106 | t = Ty*mRBoxToModel.m[2][0] - Tx*mRBoxToModel.m[2][1]; t2 = extents.x*mAR.m[2][1] + extents.y*mAR.m[2][0] + mBB_9; if(GREATER(t, t2)) return FALSE; // L = A2 x B2 | ||
107 | } | ||
108 | return TRUE; | ||
109 | } | ||
110 | |||
111 | //! A special version for 2 axis-aligned boxes | ||
112 | inline_ BOOL AABBCollider::AABBAABBOverlap(const Point& extents, const Point& center) | ||
113 | { | ||
114 | // Stats | ||
115 | mNbVolumeBVTests++; | ||
116 | |||
117 | float tx = mBox.mCenter.x - center.x; float ex = extents.x + mBox.mExtents.x; if(GREATER(tx, ex)) return FALSE; | ||
118 | float ty = mBox.mCenter.y - center.y; float ey = extents.y + mBox.mExtents.y; if(GREATER(ty, ey)) return FALSE; | ||
119 | float tz = mBox.mCenter.z - center.z; float ez = extents.z + mBox.mExtents.z; if(GREATER(tz, ez)) return FALSE; | ||
120 | |||
121 | return TRUE; | ||
122 | } | ||