[2747] | 1 | #include "AxisAlignedBox3.h"
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[2755] | 2 | #include "Plane3.h"
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[2911] | 3 | #include "Polygon3.h"
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| 4 | #include "Polyhedron.h"
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[2951] | 5 | #include "Triangle3.h"
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[2747] | 6 |
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[2911] | 7 | #include <cassert>
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| 8 | #include <iostream>
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[2747] | 9 |
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[3021] | 10 | #ifdef _CRT_SET
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| 11 | #define _CRTDBG_MAP_ALLOC
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| 12 | #include <stdlib.h>
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| 13 | #include <crtdbg.h>
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| 14 |
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| 15 | // redefine new operator
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| 16 | #define DEBUG_NEW new(_NORMAL_BLOCK, __FILE__, __LINE__)
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| 17 | #define new DEBUG_NEW
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| 18 | #endif
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| 19 |
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| 20 |
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[2747] | 21 | using namespace std;
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| 22 |
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[2755] | 23 |
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[2776] | 24 | namespace CHCDemoEngine
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[2751] | 25 | {
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[2747] | 26 |
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| 27 | // Overload << operator for C++-style output
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| 28 | ostream& operator<< (ostream &s, const AxisAlignedBox3 &A)
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| 29 | {
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| 30 | return s << '[' << A.mMin.x << ", " << A.mMin.y << ", " << A.mMin.z << "]["
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| 31 | << A.mMax.x << ", " << A.mMax.y << ", " << A.mMax.z << ']';
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| 32 | }
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| 33 |
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| 34 |
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| 35 | // Overload >> operator for C++-style input
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| 36 | istream& operator>> (istream &s, AxisAlignedBox3 &A)
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| 37 | {
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| 38 | char a;
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| 39 | // read "[min.x, min.y, min.z][mMax.x, mMax.y, mMax.z]"
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| 40 | return s >> a >> A.mMin.x >> a >> A.mMin.y >> a >> A.mMin.z >> a >> a
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| 41 | >> A.mMax.x >> a >> A.mMax.y >> a >> A.mMax.z >> a;
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| 42 | }
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| 43 |
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| 44 |
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[2751] | 45 | AxisAlignedBox3::AxisAlignedBox3()
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| 46 | { }
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| 47 |
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| 48 |
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| 49 | AxisAlignedBox3::AxisAlignedBox3(const Vector3 &nMin, const Vector3 &nMax)
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| 50 | : mMin(nMin), mMax(nMax)
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| 51 | {}
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| 52 |
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| 53 |
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| 54 |
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[2747] | 55 | bool AxisAlignedBox3::Unbounded() const
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| 56 | {
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| 57 | return (mMin == Vector3(-MAXFLOAT)) ||
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[3065] | 58 | (mMax == Vector3(-MAXFLOAT));
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[2747] | 59 | }
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| 60 |
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| 61 |
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| 62 | void AxisAlignedBox3::Include(const Vector3 &newpt)
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| 63 | {
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| 64 | Minimize(mMin, newpt);
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| 65 | Maximize(mMax, newpt);
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| 66 | }
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| 67 |
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| 68 |
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[2911] | 69 | void AxisAlignedBox3::Include(const Polygon3 &newpoly)
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| 70 | {
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| 71 | VertexArray::const_iterator it, it_end = newpoly.mVertices.end();
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| 72 |
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| 73 | for (it = newpoly.mVertices.begin(); it != it_end; ++ it)
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| 74 | Include(*it);
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| 75 | }
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| 76 |
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| 77 |
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| 78 | void AxisAlignedBox3::Include(const PolygonContainer &polys)
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| 79 | {
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| 80 | PolygonContainer::const_iterator it, it_end = polys.end();
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| 81 |
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| 82 | for (it = polys.begin(); it != it_end; ++ it)
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| 83 | Include(*(*it));
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| 84 | }
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| 85 |
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| 86 |
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[2747] | 87 | void AxisAlignedBox3::Include(const AxisAlignedBox3 &bbox)
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| 88 | {
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| 89 | Minimize(mMin, bbox.mMin);
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| 90 | Maximize(mMax, bbox.mMax);
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| 91 | }
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| 92 |
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| 93 |
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| 94 | bool AxisAlignedBox3::IsCorrect()
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| 95 | {
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| 96 | if ( (mMin.x > mMax.x) ||
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| 97 | (mMin.y > mMax.y) ||
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| 98 | (mMin.z > mMax.z) )
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| 99 | return false; // box is not formed
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| 100 | return true;
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| 101 | }
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| 102 |
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| 103 |
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| 104 | void AxisAlignedBox3::GetEdge(const int edge, Vector3 *a, Vector3 *b) const
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| 105 | {
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| 106 | switch(edge) {
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| 107 | case 0:
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| 108 | a->SetValue(mMin.x, mMin.y, mMin.z);
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| 109 | b->SetValue(mMin.x, mMin.y, mMax.z);
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| 110 | break;
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| 111 | case 1:
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| 112 | a->SetValue(mMin.x, mMin.y, mMin.z);
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| 113 | b->SetValue(mMin.x, mMax.y, mMin.z);
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| 114 | break;
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| 115 | case 2:
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| 116 | a->SetValue(mMin.x, mMin.y, mMin.z);
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| 117 | b->SetValue(mMax.x, mMin.y, mMin.z);
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| 118 | break;
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| 119 | case 3:
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| 120 | a->SetValue(mMax.x, mMax.y, mMax.z);
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| 121 | b->SetValue(mMax.x, mMax.y, mMin.z);
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| 122 | break;
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| 123 | case 4:
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| 124 | a->SetValue(mMax.x, mMax.y, mMax.z);
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| 125 | b->SetValue(mMax.x, mMin.y, mMax.z);
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| 126 | break;
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| 127 | case 5:
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| 128 | a->SetValue(mMax.x, mMax.y, mMax.z);
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| 129 | b->SetValue(mMin.x, mMax.y, mMax.z);
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| 130 | break;
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| 131 |
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| 132 | case 6:
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| 133 | a->SetValue(mMin.x, mMin.y, mMax.z);
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| 134 | b->SetValue(mMin.x, mMax.y, mMax.z);
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| 135 | break;
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| 136 | case 7:
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| 137 | a->SetValue(mMin.x, mMin.y, mMax.z);
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| 138 | b->SetValue(mMax.x, mMin.y, mMax.z);
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| 139 | break;
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| 140 | case 8:
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| 141 | a->SetValue(mMin.x, mMax.y, mMin.z);
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| 142 | b->SetValue(mMin.x, mMax.y, mMax.z);
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| 143 | break;
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| 144 | case 9:
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| 145 | a->SetValue(mMin.x, mMax.y, mMin.z);
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| 146 | b->SetValue(mMax.x, mMax.y, mMin.z);
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| 147 | break;
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| 148 | case 10:
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| 149 | a->SetValue(mMax.x, mMin.y, mMin.z);
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| 150 | b->SetValue(mMax.x, mMax.y, mMin.z);
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| 151 | break;
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| 152 | case 11:
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| 153 | a->SetValue(mMax.x, mMin.y, mMin.z);
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| 154 | b->SetValue(mMax.x, mMin.y, mMax.z);
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| 155 | break;
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| 156 | }
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| 157 | }
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| 158 |
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| 159 | // returns the vertex indices in the range <0..7>, v = 4.x + 2.y + z, where
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| 160 | // x,y,z are either 0 or 1; (0 .. min coordinate, 1 .. max coordinate)
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| 161 | void
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| 162 | AxisAlignedBox3::GetEdge(const int edge, int &aIdx, int &bIdx) const
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| 163 | {
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| 164 | switch(edge) {
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| 165 | case 0: aIdx = 0; bIdx = 1; break;
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| 166 | case 1: aIdx = 0; bIdx = 2; break;
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| 167 | case 2: aIdx = 0; bIdx = 4; break;
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| 168 | case 3: aIdx = 7; bIdx = 6; break;
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| 169 | case 4: aIdx = 7; bIdx = 5; break;
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| 170 | case 5: aIdx = 7; bIdx = 3; break;
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| 171 | case 6: aIdx = 1; bIdx = 3; break;
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| 172 | case 7: aIdx = 1; bIdx = 5; break;
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| 173 | case 8: aIdx = 2; bIdx = 3; break;
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| 174 | case 9: aIdx = 2; bIdx = 6; break;
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| 175 | case 10: aIdx = 4; bIdx = 6; break;
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| 176 | case 11: aIdx = 4; bIdx = 5; break;
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| 177 | }
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| 178 | }
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| 179 |
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| 180 | void
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| 181 | AxisAlignedBox3::Include(const int &axis, const float &newBound)
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| 182 | {
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| 183 | switch (axis) {
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| 184 | case 0: { // x-axis
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| 185 | if (mMin.x > newBound)
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| 186 | mMin.x = newBound;
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| 187 | if (mMax.x < newBound)
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| 188 | mMax.x = newBound;
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| 189 | break;
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| 190 | }
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| 191 | case 1: { // y-axis
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| 192 | if (mMin.y > newBound)
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| 193 | mMin.y = newBound;
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| 194 | if (mMax.y < newBound)
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| 195 | mMax.y = newBound;
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| 196 | break;
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| 197 | }
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| 198 | case 2: { // z-axis
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| 199 | if (mMin.z > newBound)
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| 200 | mMin.z = newBound;
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| 201 | if (mMax.z < newBound)
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| 202 | mMax.z = newBound;
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| 203 | break;
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| 204 | }
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| 205 | }
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| 206 | }
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| 207 |
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| 208 |
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| 209 | void AxisAlignedBox3::Describe(ostream &app, int ind) const
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| 210 | {
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| 211 | indent(app, ind);
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| 212 | app << "AxisAlignedBox3: min at(" << mMin << "), max at(" << mMax << ")\n";
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| 213 | }
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| 214 |
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| 215 | int
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| 216 | AxisAlignedBox3::IsInside(const Vector3 &v) const
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| 217 | {
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[3065] | 218 | return !((v.x < mMin.x) ||
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| 219 | (v.x > mMax.x) ||
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| 220 | (v.y < mMin.y) ||
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| 221 | (v.y > mMax.y) ||
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| 222 | (v.z < mMin.z) ||
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| 223 | (v.z > mMax.z));
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[2747] | 224 | }
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| 225 |
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| 226 |
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| 227 | bool AxisAlignedBox3::Includes(const AxisAlignedBox3 &b) const
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| 228 | {
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| 229 | return (b.mMin.x >= mMin.x &&
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| 230 | b.mMin.y >= mMin.y &&
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| 231 | b.mMin.z >= mMin.z &&
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| 232 | b.mMax.x <= mMax.x &&
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| 233 | b.mMax.y <= mMax.y &&
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| 234 | b.mMax.z <= mMax.z);
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| 235 | }
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| 236 |
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| 237 |
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| 238 | // compute the coordinates of one vertex of the box
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| 239 | Vector3 AxisAlignedBox3::GetVertex(int xAxis, int yAxis, int zAxis) const
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| 240 | {
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| 241 | Vector3 p;
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| 242 | if (xAxis)
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| 243 | p.x = mMax.x;
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| 244 | else
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| 245 | p.x = mMin.x;
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| 246 |
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| 247 | if (yAxis)
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| 248 | p.y = mMax.y;
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| 249 | else
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| 250 | p.y = mMin.y;
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| 251 |
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| 252 | if (zAxis)
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| 253 | p.z = mMax.z;
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| 254 | else
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| 255 | p.z = mMin.z;
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| 256 | return p;
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| 257 | }
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| 258 |
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| 259 |
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| 260 | // compute the vertex for number N = <0..7>, N = 4.x + 2.y + z, where
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| 261 | // x,y,z are either 0 or 1; (0 .. min coordinate, 1 .. max coordinate)
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[3202] | 262 | void AxisAlignedBox3::GetVertex2(int N, Vector3 &vertex) const
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[2747] | 263 | {
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| 264 | switch (N)
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| 265 | {
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[3202] | 266 | case 0: vertex.SetValue(mMin.x, mMin.y, mMin.z); break;
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| 267 | case 1: vertex.SetValue(mMax.x, mMin.y, mMin.z); break;
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| 268 | case 2: vertex.SetValue(mMax.x, mMax.y, mMin.z); break;
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| 269 | case 3: vertex.SetValue(mMin.x, mMax.y, mMin.z); break;
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| 270 | case 4: vertex.SetValue(mMin.x, mMax.y, mMax.z); break;
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| 271 | case 5: vertex.SetValue(mMax.x, mMax.y, mMax.z); break;
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| 272 | case 6: vertex.SetValue(mMax.x, mMin.y, mMax.z); break;
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| 273 | case 7: vertex.SetValue(mMin.x, mMin.y, mMax.z); break;
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| 274 | default:
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| 275 | {
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| 276 | cerr << "ERROR in AxisAlignedBox3::GetVertex N=" << N << "\n";
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| 277 | }
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| 278 | }
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| 279 | }
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| 280 |
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| 281 | // compute the vertex for number N = <0..7>, N = 4.x + 2.y + z, where
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| 282 | // x,y,z are either 0 or 1; (0 .. min coordinate, 1 .. max coordinate)
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| 283 | void AxisAlignedBox3::GetVertex(int N, Vector3 &vertex) const
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| 284 | {
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| 285 | switch (N)
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| 286 | {
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[2747] | 287 | case 0: vertex = mMin; break;
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| 288 | case 1: vertex.SetValue(mMin.x, mMin.y, mMax.z); break;
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| 289 | case 2: vertex.SetValue(mMin.x, mMax.y, mMin.z); break;
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| 290 | case 3: vertex.SetValue(mMin.x, mMax.y, mMax.z); break;
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| 291 | case 4: vertex.SetValue(mMax.x, mMin.y, mMin.z); break;
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| 292 | case 5: vertex.SetValue(mMax.x, mMin.y, mMax.z); break;
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| 293 | case 6: vertex.SetValue(mMax.x, mMax.y, mMin.z); break;
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| 294 | case 7: vertex = mMax; break;
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| 295 | default:
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| 296 | {
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| 297 | cerr << "ERROR in AxisAlignedBox3::GetVertex N=" << N << "\n";
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| 298 | }
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| 299 | }
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| 300 | }
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| 301 |
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| 302 |
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| 303 | float AxisAlignedBox3::SurfaceArea() const
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| 304 | {
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| 305 | Vector3 ext = mMax - mMin;
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| 306 |
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| 307 | return 2.0f * (ext.x * ext.y +
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| 308 | ext.x * ext.z +
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| 309 | ext.y * ext.z);
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| 310 | }
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| 311 |
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| 312 |
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[2751] | 313 | float AxisAlignedBox3::GetVolume() const
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| 314 | {
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| 315 | return (mMax.x - mMin.x) * (mMax.y - mMin.y) * (mMax.z - mMin.z);
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| 316 | }
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| 317 |
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| 318 |
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[2747] | 319 | const int AxisAlignedBox3::bvertices[27][9] =
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| 320 | { // region number.. position
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| 321 | {5,1,3,2,6,4,-1,-1,-1}, // 0 .. x=0 y=0 z=0
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| 322 | {4,5,1,3,2,0,-1,-1,-1}, // 1 .. x=0 y=0 z=1
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| 323 | {4,5,7,3,2,0,-1,-1,-1}, // 2 .. x=0 y=0 z=2
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| 324 |
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| 325 | {0,1,3,2,6,4,-1,-1,-1}, // 3 .. x=0 y=1 z=0
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| 326 | {0,1,3,2,-1,-1,-1,-1,-1}, // 4 .. x=0 y=1 z=1
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| 327 | {1,5,7,3,2,0,-1,-1,-1}, // 5 .. x=0 y=1 z=2
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| 328 |
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| 329 | {0,1,3,7,6,4,-1,-1,-1}, // 6 .. x=0 y=2 z=0
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| 330 | {0,1,3,7,6,2,-1,-1,-1}, // 7 .. x=0 y=2 z=1
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| 331 | {1,5,7,6,2,0,-1,-1,-1}, // 8 .. x=0 y=2 z=2
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| 332 |
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| 333 | // the regions number <9,17>
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| 334 | {5,1,0,2,6,4,-1,-1,-1}, // 9 .. x=1 y=0 z=0
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| 335 | {5,1,0,4,-1,-1,-1,-1,-1}, // 10 .. x=1 y=0 z=1
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| 336 | {7,3,1,0,4,5,-1,-1,-1}, // 11 .. x=1 y=0 z=2
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| 337 |
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| 338 | {4,0,2,6,-1,-1,-1,-1,-1}, // 12 .. x=1 y=1 z=0
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| 339 | {0,2,3,1,5,4,6,7,-1}, // 13 .. x=1 y=1 z=1 .. inside the box
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| 340 | {1,5,7,3,-1,-1,-1,-1,-1}, // 14 .. x=1 y=1 z=2
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| 341 |
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| 342 | {4,0,2,3,7,6,-1,-1,-1}, // 15 .. x=1 y=2 z=0
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| 343 | {6,2,3,7,-1,-1,-1,-1,-1}, // 16 .. x=1 y=2 z=1
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| 344 | {1,5,7,6,2,3,-1,-1,-1}, // 17 .. x=1 y=2 z=2
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| 345 |
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| 346 | // the regions number <18,26>
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| 347 | {1,0,2,6,7,5,-1,-1,-1}, // 18 .. x=2 y=0 z=0
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| 348 | {1,0,4,6,7,5,-1,-1,-1}, // 19 .. x=2 y=0 z=1
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| 349 | {0,4,6,7,3,1,-1,-1,-1}, // 20 .. x=2 y=0 z=2
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| 350 |
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| 351 | {4,0,2,6,7,5,-1,-1,-1}, // 21 .. x=2 y=1 z=0
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| 352 | {5,4,6,7,-1,-1,-1,-1,-1}, // 22 .. x=2 y=1 z=1
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| 353 | {5,4,6,7,3,1,-1,-1,-1}, // 23 .. x=2 y=1 z=2
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| 354 |
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| 355 | {4,0,2,3,7,5,-1,-1,-1}, // 24 .. x=2 y=2 z=0
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| 356 | {5,4,6,2,3,7,-1,-1,-1}, // 25 .. x=2 y=2 z=1
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| 357 | {5,4,6,2,3,1,-1,-1,-1}, // 26 .. x=2 y=2 z=2
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| 358 | };
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| 359 |
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| 360 | // the visibility of boundary faces from a given region
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| 361 | // one to three triples: (axis, min_vertex, max_vertex), axis==-1(terminator)
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| 362 | const int AxisAlignedBox3::bfaces[27][10] =
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| 363 | { // region number .. position
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| 364 | {0,0,3,1,0,5,2,0,6,-1}, // 0 .. x=0 y=0 z=0
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| 365 | {0,0,3,1,0,5,-1,-1,-1,-1}, // 1 .. x=0 y=0 z=1
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| 366 | {0,0,3,1,0,5,2,1,7,-1}, // 2 .. x=0 y=0 z=2
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| 367 |
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| 368 | {0,0,3,2,0,6,-1,-1,-1,-1}, // 3 .. x=0 y=1 z=0
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| 369 | {0,0,3,-1,-1,-1,-1,-1,-1,-1},// 4 .. x=0 y=1 z=1
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| 370 | {0,0,3,2,1,7,-1,-1,-1,-1}, // 5 .. x=0 y=1 z=2
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| 371 |
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| 372 | {0,0,3,1,2,7,2,0,6,-1}, // 6 .. x=0 y=2 z=0
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| 373 | {0,0,3,1,2,7,-1,-1,-1,-1}, // 7 .. x=0 y=2 z=1
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| 374 | {0,0,3,1,2,7,2,1,7,-1}, // 8 .. x=0 y=2 z=2
|
---|
| 375 |
|
---|
| 376 | // the regions number <9,17>
|
---|
| 377 | {1,0,5,2,0,6,-1,-1,-1,-1}, // 9 .. x=1 y=0 z=0
|
---|
| 378 | {1,0,5,-1,-1,-1,-1,-1,-1,-1},// 10 .. x=1 y=0 z=1
|
---|
| 379 | {1,0,5,2,1,7,-1,-1,-1,-1}, // 11 .. x=1 y=0 z=2
|
---|
| 380 |
|
---|
| 381 | {2,0,6,-1,-1,-1,-1,-1,-1,-1},// 12 .. x=1 y=1 z=0
|
---|
| 382 | {-1,-1,-1,-1,-1,-1,-1,-1,-1,-1},// 13 .. x=1 y=1 z=1 .. inside the box
|
---|
| 383 | {2,1,7,-1,-1,-1,-1,-1,-1,-1},// 14 .. x=1 y=1 z=2
|
---|
| 384 |
|
---|
| 385 | {1,2,7,2,0,6,-1,-1,-1,-1}, // 15 .. x=1 y=2 z=0
|
---|
| 386 | {1,2,7,-1,-1,-1,-1,-1,-1,-1},// 16 .. x=1 y=2 z=1
|
---|
| 387 | {1,2,7,2,1,7,-1,-1,-1,-1}, // 17 .. x=1 y=2 z=2
|
---|
| 388 |
|
---|
| 389 | // the region number <18,26>
|
---|
| 390 | {0,4,7,1,0,5,2,0,6,-1}, // 18 .. x=2 y=0 z=0
|
---|
| 391 | {0,4,7,1,0,5,-1,-1,-1,-1}, // 19 .. x=2 y=0 z=1
|
---|
| 392 | {0,4,7,1,0,5,2,1,7,-1}, // 20 .. x=2 y=0 z=2
|
---|
| 393 |
|
---|
| 394 | {0,4,7,2,0,6,-1,-1,-1,-1}, // 21 .. x=2 y=1 z=0
|
---|
| 395 | {0,4,7,-1,-1,-1,-1,-1,-1,-1},// 22 .. x=2 y=1 z=1
|
---|
| 396 | {0,4,7,2,1,7,-1,-1,-1,-1}, // 23 .. x=2 y=1 z=2
|
---|
| 397 |
|
---|
| 398 | {0,4,7,1,2,7,2,0,6,-1}, // 24 .. x=2 y=2 z=0
|
---|
| 399 | {0,4,7,1,2,7,-1,-1,-1,-1}, // 25 .. x=2 y=2 z=1
|
---|
| 400 | {0,4,7,1,2,7,2,1,7,-1}, // 26 .. x=2 y=2 z=2
|
---|
| 401 | };
|
---|
| 402 |
|
---|
| 403 | // the correct corners indexing from entry face to exit face
|
---|
| 404 | // first index determines entry face, second index exit face, and
|
---|
| 405 | // the two numbers (indx, inc) determines: ind = the index on the exit
|
---|
| 406 | // face, when starting from the vertex 0 on entry face, 'inc' is
|
---|
| 407 | // the increment when we go on entry face in order 0,1,2,3 to create
|
---|
| 408 | // convex shaft with the rectangle on exit face. That is, inc = -1 or 1.
|
---|
| 409 | const int AxisAlignedBox3::pairFaceRects[6][6][2] = {
|
---|
| 410 | { // entry face = 0
|
---|
| 411 | {-1,0}, // exit face 0 .. no meaning
|
---|
| 412 | {0,-1}, // 1
|
---|
| 413 | {0,-1}, // 2
|
---|
| 414 | {0,1}, // 3 .. opposite face
|
---|
| 415 | {3,1}, // 4
|
---|
| 416 | {1,1} // 5
|
---|
| 417 | },
|
---|
| 418 | { // entry face = 1
|
---|
| 419 | {0,-1}, // exit face 0
|
---|
| 420 | {-1,0}, // 1 .. no meaning
|
---|
| 421 | {0,-1}, // 2
|
---|
| 422 | {1,1}, // 3
|
---|
| 423 | {0,1}, // 4 .. opposite face
|
---|
| 424 | {3,1} // 5
|
---|
| 425 | },
|
---|
| 426 | { // entry face = 2
|
---|
| 427 | {0,-1}, // 0
|
---|
| 428 | {0,-1}, // 1
|
---|
| 429 | {-1,0}, // 2 .. no meaning
|
---|
| 430 | {3,1}, // 3
|
---|
| 431 | {1,1}, // 4
|
---|
| 432 | {0,1} // 5 .. opposite face
|
---|
| 433 | },
|
---|
| 434 | { // entry face = 3
|
---|
| 435 | {0,1}, // 0 .. opposite face
|
---|
| 436 | {3,-1}, // 1
|
---|
| 437 | {1,1}, // 2
|
---|
| 438 | {-1,0}, // 3 .. no meaning
|
---|
| 439 | {0,-1}, // 4
|
---|
| 440 | {0,-1} // 5
|
---|
| 441 | },
|
---|
| 442 | { // entry face = 4
|
---|
| 443 | {1,1}, // 0
|
---|
| 444 | {0,1}, // 1 .. opposite face
|
---|
| 445 | {3,1}, // 2
|
---|
| 446 | {0,-1}, // 3
|
---|
| 447 | {-1,0}, // 4 .. no meaning
|
---|
| 448 | {0,-1} // 5
|
---|
| 449 | },
|
---|
| 450 | { // entry face = 5
|
---|
| 451 | {3,-1}, // 0
|
---|
| 452 | {1,1}, // 1
|
---|
| 453 | {0,1}, // 2 .. opposite face
|
---|
| 454 | {0,-1}, // 3
|
---|
| 455 | {0,-1}, // 4
|
---|
| 456 | {-1,0} // 5 .. no meaning
|
---|
| 457 | }
|
---|
| 458 | };
|
---|
| 459 |
|
---|
| 460 |
|
---|
| 461 | // ------------------------------------------------------------
|
---|
| 462 | // The vertices that form CLOSEST points with respect to the region
|
---|
| 463 | // for all the regions possible, number of regions is 3^3 = 27,
|
---|
| 464 | // since two parallel sides of bbox forms three disjoint spaces.
|
---|
| 465 | // The vertices are given in anti-clockwise order, stopped by value 15,
|
---|
| 466 | // at most 8 points, at least 1 point.
|
---|
| 467 | // The table includes the closest 1/2/4/8 points, followed possibly
|
---|
| 468 | // by the set of coordinates that should be used for testing for
|
---|
| 469 | // the proximity queries. The coordinates to be tested are described by
|
---|
| 470 | // the pair (a,b), when a=0, we want to test min vector of the box,
|
---|
| 471 | // when a=1, we want to test max vector of the box
|
---|
| 472 | // b=0,1,2 corresponds to the axis (0=x,1=y,2=z)
|
---|
| 473 | // The sequence is ended by 15, number -1 is used as the separator
|
---|
| 474 | // between the vertices and coordinates.
|
---|
| 475 | const int
|
---|
| 476 | AxisAlignedBox3::cvertices[27][9] =
|
---|
| 477 | { // region number.. position
|
---|
| 478 | {0,15,15,15,15,15,15,15,15}, // 0 .. x=0 y=0 z=0 D one vertex
|
---|
| 479 | {0,1,-1,0,0,0,1,15,15}, // 1 .. x=0 y=0 z=1 D two vertices foll. by 2
|
---|
| 480 | {1,15,15,15,15,15,15,15,15}, // 2 .. x=0 y=0 z=2 D one vertex
|
---|
| 481 |
|
---|
| 482 | {0,2,-1,0,0,0,2,15,15}, // 3 .. x=0 y=1 z=0 D
|
---|
| 483 | {0,1,3,2,-1,0,0,15,15}, // 4 .. x=0 y=1 z=1 D
|
---|
| 484 | {1,3,-1,0,0,1,2,15,15}, // 5 .. x=0 y=1 z=2 D
|
---|
| 485 |
|
---|
| 486 | {2,15,15,15,15,15,15,15,15}, // 6 .. x=0 y=2 z=0 D
|
---|
| 487 | {2,3,-1,0,0,1,1,15,15}, // 7 .. x=0 y=2 z=1 D
|
---|
| 488 | {3,15,15,15,15,15,15,15,15}, // 8 .. x=0 y=2 z=2 D
|
---|
| 489 |
|
---|
| 490 | // the regions number <9,17>
|
---|
| 491 | {0,4,-1,0,1,0,2,15,15}, // 9 .. x=1 y=0 z=0 D
|
---|
| 492 | {5,1,0,4,-1,0,1,15,15}, // 10 .. x=1 y=0 z=1 D
|
---|
| 493 | {1,5,-1,0,1,1,2,15,15}, // 11 .. x=1 y=0 z=2 D
|
---|
| 494 |
|
---|
| 495 | {4,0,2,6,-1,0,2,15,15}, // 12 .. x=1 y=1 z=0 D
|
---|
| 496 | {0,2,3,1,5,4,6,7,15}, // 13 .. x=1 y=1 z=1 .. inside the box
|
---|
| 497 | {1,5,7,3,-1,1,2,15,15}, // 14 .. x=1 y=1 z=2 D
|
---|
| 498 |
|
---|
| 499 | {6,2,-1,0,2,1,1,15,15}, // 15 .. x=1 y=2 z=0 D
|
---|
| 500 | {6,2,3,7,-1,1,1,15,15}, // 16 .. x=1 y=2 z=1 D
|
---|
| 501 | {3,7,-1,1,1,1,2,15,15}, // 17 .. x=1 y=2 z=2 D
|
---|
| 502 |
|
---|
| 503 | // the regions number <18,26>
|
---|
| 504 | {4,15,15,15,15,15,15,15,15}, // 18 .. x=2 y=0 z=0 D
|
---|
| 505 | {4,5,-1,0,1,1,0,15,15}, // 19 .. x=2 y=0 z=1 D
|
---|
| 506 | {5,15,15,15,15,15,15,15,15}, // 20 .. x=2 y=0 z=2 D
|
---|
| 507 |
|
---|
| 508 | {4,6,-1,0,2,1,0,15,15}, // 21 .. x=2 y=1 z=0 D
|
---|
| 509 | {5,4,6,7,-1,1,0,15,15}, // 22 .. x=2 y=1 z=1 D
|
---|
| 510 | {7,5,-1,1,0,1,2,15,15}, // 23 .. x=2 y=1 z=2 D
|
---|
| 511 |
|
---|
| 512 | {6,15,15,15,15,15,15,15,15}, // 24 .. x=2 y=2 z=0 D
|
---|
| 513 | {6,7,-1,1,0,1,1,15,15}, // 25 .. x=2 y=2 z=1 D
|
---|
| 514 | {7,15,15,15,15,15,15,15,15}, // 26 .. x=2 y=2 z=2 D
|
---|
| 515 | };
|
---|
| 516 |
|
---|
| 517 | // Table for Sphere-AABB intersection based on the region knowledge
|
---|
| 518 | // Similar array to previous cvertices, but we omit the surfaces
|
---|
| 519 | // which are not necessary for testing. First are vertices,
|
---|
| 520 | // they are finished with -1. Second, there are indexes in
|
---|
| 521 | // the pair (a,b), when a=0, we want to test min vector of the box,
|
---|
| 522 | // when a=1, we want to test max vector of the box
|
---|
| 523 | // b=0,1,2 corresponds to the axis (0=x,1=y,2=z)
|
---|
| 524 | //
|
---|
| 525 | // So either we check the vertices or only the distance in specified
|
---|
| 526 | // dimensions. There are at all four possible cases:
|
---|
| 527 | //
|
---|
| 528 | // 1) we check one vertex - then sequence start with non-negative index
|
---|
| 529 | // and is finished with 15
|
---|
| 530 | // 2) we check two coordinates of min/max vector describe by the pair
|
---|
| 531 | // (a,b) .. a=min/max(0/1) b=x/y/z (0/1/2), sequence starts with 8
|
---|
| 532 | // and finishes with 15
|
---|
| 533 | // 3) we check only one coordinate of min/max, as for 2), sequence start
|
---|
| 534 | // with 9 and ends with 15
|
---|
| 535 | // 4) Position 13 - sphere is inside the box, intersection always exist
|
---|
| 536 | // the sequence start with 15 .. no further testing is necessary
|
---|
| 537 | // in this case
|
---|
| 538 | const int
|
---|
| 539 | AxisAlignedBox3::csvertices[27][6] =
|
---|
| 540 | { // region number.. position
|
---|
| 541 | {0,15,15,15,15,15}, // 0 .. x=0 y=0 z=0 D vertex only
|
---|
| 542 | {8,0,0,0,1,15}, // 1 .. x=0 y=0 z=1 D two coords.
|
---|
| 543 | {1,15,15,15,15,15}, // 2 .. x=0 y=0 z=2 D vertex only
|
---|
| 544 |
|
---|
| 545 | {8,0,0,0,2,15}, // 3 .. x=0 y=1 z=0 D two coords
|
---|
| 546 | {9,0,0,15,15,15}, // 4 .. x=0 y=1 z=1 D one coord
|
---|
| 547 | {8,0,0,1,2,15}, // 5 .. x=0 y=1 z=2 D two coords.
|
---|
| 548 |
|
---|
| 549 | {2,15,15,15,15,15}, // 6 .. x=0 y=2 z=0 D one vertex
|
---|
| 550 | {8,0,0,1,1,15}, // 7 .. x=0 y=2 z=1 D two coords
|
---|
| 551 | {3,15,15,15,15,15}, // 8 .. x=0 y=2 z=2 D one vertex
|
---|
| 552 |
|
---|
| 553 | // the regions number <9,17>
|
---|
| 554 | {8,0,1,0,2,15}, // 9 .. x=1 y=0 z=0 D two coords
|
---|
| 555 | {9,0,1,15,15,15}, // 10 .. x=1 y=0 z=1 D one coord
|
---|
| 556 | {8,0,1,1,2,15}, // 11 .. x=1 y=0 z=2 D two coords
|
---|
| 557 |
|
---|
| 558 | {9,0,2,15,15,15}, // 12 .. x=1 y=1 z=0 D one coord
|
---|
| 559 | {15,15,15,15,15,15}, // 13 .. x=1 y=1 z=1 inside the box, special case/value
|
---|
| 560 | {9,1,2,15,15,15}, // 14 .. x=1 y=1 z=2 D one corrd
|
---|
| 561 |
|
---|
| 562 | {8,0,2,1,1,15}, // 15 .. x=1 y=2 z=0 D two coords
|
---|
| 563 | {9,1,1,15,15}, // 16 .. x=1 y=2 z=1 D one coord
|
---|
| 564 | {8,1,1,1,2,15}, // 17 .. x=1 y=2 z=2 D two coords
|
---|
| 565 |
|
---|
| 566 | // the regions number <18,26>
|
---|
| 567 | {4,15,15,15,15,15}, // 18 .. x=2 y=0 z=0 D one vertex
|
---|
| 568 | {8,0,1,1,0,15}, // 19 .. x=2 y=0 z=1 D two coords
|
---|
| 569 | {5,15,15,15,15,15}, // 20 .. x=2 y=0 z=2 D one vertex
|
---|
| 570 |
|
---|
| 571 | {8,0,2,1,0,15}, // 21 .. x=2 y=1 z=0 D two coords
|
---|
| 572 | {9,1,0,15,15,15}, // 22 .. x=2 y=1 z=1 D one coord
|
---|
| 573 | {8,1,0,1,2,15}, // 23 .. x=2 y=1 z=2 D two coords
|
---|
| 574 |
|
---|
| 575 | {6,15,15,15,15,15}, // 24 .. x=2 y=2 z=0 D one vertex
|
---|
| 576 | {8,1,0,1,1,15}, // 25 .. x=2 y=2 z=1 D two coords
|
---|
| 577 | {7,15,15,15,15,15}, // 26 .. x=2 y=2 z=2 D one vertex
|
---|
| 578 | };
|
---|
| 579 |
|
---|
| 580 |
|
---|
| 581 | // The vertices that form all FARTHEST points with respect to the region
|
---|
| 582 | // for all the regions possible, number of regions is 3^3 = 27,
|
---|
| 583 | // since two parallel sides of bbox forms three disjoint spaces.
|
---|
| 584 | // The vertices are given in anti-clockwise order, stopped by value 15,
|
---|
| 585 | // at most 8 points, at least 1 point.
|
---|
| 586 | // For testing, if the AABB is whole in the sphere, it is enough
|
---|
| 587 | // to test only vertices, either 1,2,4, or 8.
|
---|
| 588 | const int
|
---|
| 589 | AxisAlignedBox3::fvertices[27][9] =
|
---|
| 590 | { // region number.. position
|
---|
| 591 | {7,15,15,15,15,15,15,15,15}, // 0 .. x=0 y=0 z=0 D
|
---|
| 592 | {6,7,15,15,15,15,15,15,15}, // 1 .. x=0 y=0 z=1 D
|
---|
| 593 | {6,15,15,15,15,15,15,15,15}, // 2 .. x=0 y=0 z=2 D
|
---|
| 594 |
|
---|
| 595 | {5,7,15,15,15,15,15,15,15}, // 3 .. x=0 y=1 z=0 D
|
---|
| 596 | {4,5,7,6,15,15,15,15,15}, // 4 .. x=0 y=1 z=1 D
|
---|
| 597 | {4,6,15,15,15,15,15,15,15}, // 5 .. x=0 y=1 z=2 D
|
---|
| 598 |
|
---|
| 599 | {5,15,15,15,15,15,15,15,15}, // 6 .. x=0 y=2 z=0 D
|
---|
| 600 | {4,5,15,15,15,15,15,15,15}, // 7 .. x=0 y=2 z=1 D
|
---|
| 601 | {4,15,15,15,15,15,15,15,15}, // 8 .. x=0 y=2 z=2 D
|
---|
| 602 |
|
---|
| 603 | // the regions number <9,17>
|
---|
| 604 | {3,7,15,15,15,15,15,15,15}, // 9 .. x=1 y=0 z=0 D
|
---|
| 605 | {7,3,2,6,15,15,15,15,15}, // 10 .. x=1 y=0 z=1 D
|
---|
| 606 | {2,6,15,15,15,15,15,15,15}, // 11 .. x=1 y=0 z=2 D
|
---|
| 607 |
|
---|
| 608 | {5,1,3,7,15,15,15,15,15}, // 12 .. x=1 y=1 z=0 D
|
---|
| 609 | {0,7,1,6,3,4,5,2,15}, // 13 .. x=1 y=1 z=1 .. inside the box
|
---|
| 610 | {0,4,6,2,15,15,15,15,15}, // 14 .. x=1 y=1 z=2 D
|
---|
| 611 |
|
---|
| 612 | {5,1,15,15,15,15,15,15,15}, // 15 .. x=1 y=2 z=0 D
|
---|
| 613 | {4,0,1,5,15,15,15,15,15}, // 16 .. x=1 y=2 z=1 D
|
---|
| 614 | {4,0,15,15,15,15,15,15,15}, // 17 .. x=1 y=2 z=2 D
|
---|
| 615 |
|
---|
| 616 | // the regions number <18,26>
|
---|
| 617 | {3,15,15,15,15,15,15,15,15}, // 18 .. x=2 y=0 z=0 D
|
---|
| 618 | {2,3,15,15,15,15,15,15,15}, // 19 .. x=2 y=0 z=1 D
|
---|
| 619 | {2,15,15,15,15,15,15,15,15}, // 20 .. x=2 y=0 z=2 D
|
---|
| 620 |
|
---|
| 621 | {1,3,15,15,15,15,15,15,15}, // 21 .. x=2 y=1 z=0 D
|
---|
| 622 | {1,0,2,3,15,15,15,15,15}, // 22 .. x=2 y=1 z=1 D
|
---|
| 623 | {2,0,15,15,15,15,15,15,15}, // 23 .. x=2 y=1 z=2 D
|
---|
| 624 |
|
---|
| 625 | {1,15,15,15,15,15,15,15,15}, // 24 .. x=2 y=2 z=0 D
|
---|
| 626 | {0,1,15,15,15,15,15,15,15}, // 25 .. x=2 y=2 z=1 D
|
---|
| 627 | {0,15,15,15,15,15,15,15,15}, // 26 .. x=2 y=2 z=2 D
|
---|
| 628 | };
|
---|
| 629 |
|
---|
| 630 | // Similar table as above, farthest points, but only the ones
|
---|
| 631 | // necessary for testing the intersection problem. If we do
|
---|
| 632 | // not consider the case 13, center of the sphere is inside the
|
---|
| 633 | // box, then we can always test at most 2 box vertices to say whether
|
---|
| 634 | // the whole box is inside the sphere.
|
---|
| 635 | // The number of vertices is minimized using some assumptions
|
---|
| 636 | // about the ortogonality of vertices and sphere properties.
|
---|
| 637 | const int
|
---|
| 638 | AxisAlignedBox3::fsvertices[27][9] =
|
---|
| 639 | { // region number.. position
|
---|
| 640 | {7,15,15,15,15,15,15,15,15}, // 0 .. x=0 y=0 z=0 D 1 vertex
|
---|
| 641 | {6,7,15,15,15,15,15,15,15}, // 1 .. x=0 y=0 z=1 D 2 vertices
|
---|
| 642 | {6,15,15,15,15,15,15,15,15}, // 2 .. x=0 y=0 z=2 D 1 vertex
|
---|
| 643 |
|
---|
| 644 | {5,7,15,15,15,15,15,15,15}, // 3 .. x=0 y=1 z=0 D 2 vertices
|
---|
| 645 | {4,7,15,5,6,15,15,15,15}, // 4 .. x=0 y=1 z=1 D 4/2 vertices
|
---|
| 646 | {4,6,15,15,15,15,15,15,15}, // 5 .. x=0 y=1 z=2 D 2 vertices
|
---|
| 647 |
|
---|
| 648 | {5,15,15,15,15,15,15,15,15}, // 6 .. x=0 y=2 z=0 D 1 vertex
|
---|
| 649 | {4,5,15,15,15,15,15,15,15}, // 7 .. x=0 y=2 z=1 D 2 vertices
|
---|
| 650 | {4,15,15,15,15,15,15,15,15}, // 8 .. x=0 y=2 z=2 D 1 vertex
|
---|
| 651 |
|
---|
| 652 | // the regions number <9,17>
|
---|
| 653 | {3,7,15,15,15,15,15,15,15}, // 9 .. x=1 y=0 z=0 D 2 vertices
|
---|
| 654 | {7,2,15,3,6,15,15,15,15}, // 10 .. x=1 y=0 z=1 D 4/2 vertices
|
---|
| 655 | {2,6,15,15,15,15,15,15,15}, // 11 .. x=1 y=0 z=2 D 2 vertices
|
---|
| 656 |
|
---|
| 657 | {5,3,15,1,7,15,15,15,15}, // 12 .. x=1 y=1 z=0 D 4/2 vertices
|
---|
| 658 | {0,7,1,6,3,4,5,2,15}, // 13 .. x=1 y=1 z=1 .. inside the box
|
---|
| 659 | {0,6,15,4,2,15,15,15,15}, // 14 .. x=1 y=1 z=2 D 4/2 vertices
|
---|
| 660 |
|
---|
| 661 | {5,1,15,15,15,15,15,15,15}, // 15 .. x=1 y=2 z=0 D 2 vertices
|
---|
| 662 | {4,1,15,0,5,15,15,15,15}, // 16 .. x=1 y=2 z=1 D 4/2 vertices
|
---|
| 663 | {4,0,15,15,15,15,15,15,15}, // 17 .. x=1 y=2 z=2 D 2 vertices
|
---|
| 664 |
|
---|
| 665 | // the regions number <18,26>
|
---|
| 666 | {3,15,15,15,15,15,15,15,15}, // 18 .. x=2 y=0 z=0 D 1 vertex
|
---|
| 667 | {2,3,15,15,15,15,15,15,15}, // 19 .. x=2 y=0 z=1 D 2 vertices
|
---|
| 668 | {2,15,15,15,15,15,15,15,15}, // 20 .. x=2 y=0 z=2 D 1 vertex
|
---|
| 669 |
|
---|
| 670 | {1,3,15,15,15,15,15,15,15}, // 21 .. x=2 y=1 z=0 D 2 vertices
|
---|
| 671 | {1,2,15,0,3,15,15,15,15}, // 22 .. x=2 y=1 z=1 D 4/2 vertices
|
---|
| 672 | {2,0,15,15,15,15,15,15,15}, // 23 .. x=2 y=1 z=2 D 2 vertices
|
---|
| 673 |
|
---|
| 674 | {1,15,15,15,15,15,15,15,15}, // 24 .. x=2 y=2 z=0 D 1 vertex
|
---|
| 675 | {0,1,15,15,15,15,15,15,15}, // 25 .. x=2 y=2 z=1 D 2 vertices
|
---|
| 676 | {0,15,15,15,15,15,15,15,15}, // 26 .. x=2 y=2 z=2 D 1 vertex
|
---|
| 677 | };
|
---|
| 678 |
|
---|
| 679 |
|
---|
| 680 | // The fast computation of arctangent .. the maximal error is less
|
---|
| 681 | // than 4.1 degrees, according to Graphics GEMSII, 1991, pages 389--391
|
---|
| 682 | // Ron Capelli: "Fast approximation to the arctangent"
|
---|
| 683 | float atan22(const float& y)
|
---|
| 684 | {
|
---|
| 685 | const float x = 1.0;
|
---|
| 686 | const float c = (float)(M_PI * 0.25);
|
---|
| 687 |
|
---|
| 688 | if (y < 0.0) {
|
---|
| 689 | if (y < -1.0)
|
---|
| 690 | return c * (-2.0f + x / y); // for angle in <-PI/2, -PI/4)
|
---|
| 691 | else
|
---|
| 692 | return c * (y / x); // for angle in <-PI/4 , 0>
|
---|
| 693 | }
|
---|
| 694 | else {
|
---|
| 695 | if (y > 1.0)
|
---|
| 696 | return c * (2.0f - x / y); // for angle in <PI/4, PI/2>
|
---|
| 697 | else
|
---|
| 698 | return c * (y / x); // for angle in <0, PI/2>
|
---|
| 699 | }
|
---|
| 700 | }
|
---|
| 701 |
|
---|
| 702 |
|
---|
| 703 | // This definition allows to be a point when answering true
|
---|
| 704 | bool
|
---|
| 705 | AxisAlignedBox3::IsCorrectAndNotPoint() const
|
---|
| 706 | {
|
---|
| 707 | if ( (mMin.x > mMax.x) ||
|
---|
| 708 | (mMin.y > mMax.y) ||
|
---|
| 709 | (mMin.z > mMax.z) )
|
---|
| 710 | return false; // box is not formed
|
---|
| 711 |
|
---|
| 712 | if ( (mMin.x == mMax.x) &&
|
---|
| 713 | (mMin.y == mMax.y) &&
|
---|
| 714 | (mMin.z == mMax.z) )
|
---|
| 715 | return false; // degenerates to a point
|
---|
| 716 |
|
---|
| 717 | return true;
|
---|
| 718 | }
|
---|
| 719 |
|
---|
| 720 | // This definition allows to be a point when answering true
|
---|
| 721 | bool AxisAlignedBox3::IsPoint() const
|
---|
| 722 | {
|
---|
| 723 | if ( (mMin.x == mMax.x) &&
|
---|
| 724 | (mMin.y == mMax.y) &&
|
---|
| 725 | (mMin.z == mMax.z) )
|
---|
| 726 | return true; // degenerates to a point
|
---|
| 727 |
|
---|
| 728 | return false;
|
---|
| 729 | }
|
---|
| 730 |
|
---|
| 731 | // This definition requires shape of non-zero volume
|
---|
| 732 | bool AxisAlignedBox3::IsSingularOrIncorrect() const
|
---|
| 733 | {
|
---|
| 734 | if ( (mMin.x >= mMax.x) ||
|
---|
| 735 | (mMin.y >= mMax.y) ||
|
---|
| 736 | (mMin.z >= mMax.z) )
|
---|
| 737 | return true; // box is not formed
|
---|
| 738 |
|
---|
| 739 | return false; // has non-zero volume
|
---|
| 740 | }
|
---|
| 741 |
|
---|
| 742 |
|
---|
| 743 | void AxisAlignedBox3::GetSqrDistances(const Vector3 &point,
|
---|
| 744 | float &minDistance,
|
---|
| 745 | float &maxDistance) const
|
---|
| 746 | {
|
---|
| 747 | // some overlap is possible, check the distance of vertices
|
---|
| 748 | float sumMin = 0;
|
---|
| 749 | float sumMax = 0;
|
---|
| 750 |
|
---|
| 751 | // Try to minimize the function of a distance
|
---|
| 752 | // from the sphere center
|
---|
| 753 |
|
---|
| 754 | const float *minp = &(mMin.x);
|
---|
| 755 | const float *maxp = &(mMax.x);
|
---|
| 756 | const float *pcenter = &(point.x);
|
---|
| 757 |
|
---|
| 758 | // for x-axis
|
---|
| 759 | for (int i = 0; i < 3; i++, minp++, maxp++, pcenter++) {
|
---|
| 760 | float minsqr = sqr(*minp - *pcenter);
|
---|
| 761 | float maxsqr = sqr(*maxp - *pcenter);
|
---|
| 762 | if (*pcenter < *minp)
|
---|
| 763 | sumMin += minsqr;
|
---|
| 764 | else
|
---|
| 765 | if (*pcenter > *maxp)
|
---|
| 766 | sumMin += maxsqr;
|
---|
| 767 | sumMax += (minsqr > maxsqr) ? minsqr : maxsqr;
|
---|
| 768 | }
|
---|
| 769 |
|
---|
| 770 | minDistance = sumMin;
|
---|
| 771 | maxDistance = sumMax;
|
---|
| 772 | }
|
---|
| 773 |
|
---|
| 774 |
|
---|
| 775 | void AxisAlignedBox3::Scale(const float scale)
|
---|
| 776 | {
|
---|
| 777 | Vector3 newSize = Size()*(scale*0.5f);
|
---|
| 778 | Vector3 center = Center();
|
---|
| 779 | mMin = center - newSize;
|
---|
| 780 | mMax = center + newSize;
|
---|
| 781 | }
|
---|
| 782 |
|
---|
| 783 |
|
---|
| 784 | void AxisAlignedBox3::Scale(const Vector3 &scale)
|
---|
| 785 | {
|
---|
| 786 | Vector3 newSize = Size()*(scale*0.5f);
|
---|
| 787 | Vector3 center = Center();
|
---|
| 788 | mMin = center - newSize;
|
---|
| 789 | mMax = center + newSize;
|
---|
| 790 | }
|
---|
| 791 |
|
---|
| 792 |
|
---|
| 793 | void AxisAlignedBox3::Translate(const Vector3 &shift)
|
---|
| 794 | {
|
---|
| 795 | mMin += shift;
|
---|
| 796 | mMax += shift;
|
---|
| 797 | }
|
---|
| 798 |
|
---|
| 799 |
|
---|
| 800 | void AxisAlignedBox3::Initialize()
|
---|
| 801 | {
|
---|
| 802 | mMin = Vector3(MAXFLOAT);
|
---|
| 803 | mMax = Vector3(-MAXFLOAT);
|
---|
| 804 | }
|
---|
| 805 |
|
---|
| 806 |
|
---|
| 807 | Vector3 AxisAlignedBox3::Center() const
|
---|
| 808 | {
|
---|
| 809 | return 0.5 * (mMin + mMax);
|
---|
| 810 | }
|
---|
| 811 |
|
---|
| 812 |
|
---|
| 813 | Vector3 AxisAlignedBox3::Diagonal() const
|
---|
| 814 | {
|
---|
| 815 | return (mMax - mMin);
|
---|
| 816 | }
|
---|
| 817 |
|
---|
| 818 |
|
---|
| 819 | float AxisAlignedBox3::Center(const int axis) const
|
---|
| 820 | {
|
---|
| 821 | return 0.5f * (mMin[axis] + mMax[axis]);
|
---|
| 822 | }
|
---|
| 823 |
|
---|
| 824 |
|
---|
| 825 | float AxisAlignedBox3::Min(const int axis) const
|
---|
| 826 | {
|
---|
| 827 | return mMin[axis];
|
---|
| 828 | }
|
---|
| 829 |
|
---|
| 830 |
|
---|
| 831 | float AxisAlignedBox3::Max(const int axis) const
|
---|
| 832 | {
|
---|
| 833 | return mMax[axis];
|
---|
| 834 | }
|
---|
| 835 |
|
---|
| 836 |
|
---|
| 837 | float AxisAlignedBox3::Size(const int axis) const
|
---|
| 838 | {
|
---|
| 839 | return Max(axis) - Min(axis);
|
---|
| 840 | }
|
---|
| 841 |
|
---|
| 842 | // Read-only const access tomMin and max vectors using references
|
---|
| 843 | const Vector3& AxisAlignedBox3::Min() const
|
---|
| 844 | {
|
---|
| 845 | return mMin;
|
---|
| 846 | }
|
---|
| 847 |
|
---|
| 848 |
|
---|
| 849 | const Vector3& AxisAlignedBox3::Max() const
|
---|
| 850 | {
|
---|
| 851 | return mMax;
|
---|
| 852 | }
|
---|
| 853 |
|
---|
| 854 |
|
---|
| 855 | void AxisAlignedBox3::Enlarge (const Vector3 &v)
|
---|
| 856 | {
|
---|
| 857 | mMax += v;
|
---|
| 858 | mMin -= v;
|
---|
| 859 | }
|
---|
| 860 |
|
---|
| 861 |
|
---|
| 862 | void AxisAlignedBox3::EnlargeToMinSize()
|
---|
| 863 | {
|
---|
| 864 | const float epsMin = 1e-7f;
|
---|
| 865 | const float epsAdd = 1e-6f;
|
---|
| 866 | const float epsMul = 1.000005f;
|
---|
[3202] | 867 |
|
---|
[2747] | 868 | float dir = mMax.x - mMin.x;
|
---|
| 869 |
|
---|
| 870 | assert(dir >= 0.f);
|
---|
| 871 |
|
---|
| 872 | if (dir < epsMin)
|
---|
| 873 | {
|
---|
| 874 | if (mMax.x > 0)
|
---|
| 875 | {
|
---|
| 876 | mMax.x *= epsMul;
|
---|
| 877 | mMax.x += epsAdd;
|
---|
| 878 | }
|
---|
| 879 | else
|
---|
| 880 | {
|
---|
| 881 | mMin.x *= epsMul;
|
---|
| 882 | mMin.x -= epsAdd;
|
---|
| 883 | }
|
---|
| 884 |
|
---|
| 885 | assert(mMin.x < mMax.x);
|
---|
| 886 | }
|
---|
| 887 |
|
---|
| 888 | dir = mMax.y - mMin.y;
|
---|
| 889 | assert(dir >= 0.f);
|
---|
| 890 |
|
---|
| 891 | if (dir < epsMin)
|
---|
| 892 | {
|
---|
| 893 | if (mMax.y > 0)
|
---|
| 894 | {
|
---|
| 895 | mMax.y *= epsMul;
|
---|
| 896 | mMax.y += epsAdd;
|
---|
| 897 | }
|
---|
| 898 | else
|
---|
| 899 | {
|
---|
| 900 | mMin.y *= epsMul;
|
---|
| 901 | mMin.y -= epsAdd;
|
---|
| 902 | }
|
---|
| 903 | assert(mMin.y < mMax.y);
|
---|
| 904 | }
|
---|
| 905 |
|
---|
| 906 | dir = mMax.z - mMin.z;
|
---|
| 907 | assert(dir >= 0.f);
|
---|
| 908 |
|
---|
| 909 | if (dir < epsMin)
|
---|
| 910 | {
|
---|
| 911 | if (mMax.z > 0)
|
---|
| 912 | {
|
---|
| 913 | mMax.z *= epsMul;
|
---|
| 914 | mMax.z += epsAdd;
|
---|
| 915 | }
|
---|
| 916 | else
|
---|
| 917 | {
|
---|
| 918 | mMin.z *= epsMul;
|
---|
| 919 | mMin.z -= epsAdd;
|
---|
| 920 | }
|
---|
| 921 |
|
---|
| 922 | assert(mMin.z < mMax.z);
|
---|
| 923 | }
|
---|
| 924 | }
|
---|
| 925 |
|
---|
| 926 |
|
---|
| 927 | void AxisAlignedBox3::SetMin(const Vector3 &v)
|
---|
| 928 | {
|
---|
| 929 | mMin = v;
|
---|
| 930 | }
|
---|
| 931 |
|
---|
| 932 |
|
---|
| 933 | void AxisAlignedBox3::SetMax(const Vector3 &v)
|
---|
| 934 | {
|
---|
| 935 | mMax = v;
|
---|
| 936 | }
|
---|
| 937 |
|
---|
| 938 |
|
---|
| 939 | void AxisAlignedBox3::SetMin(int axis, const float value)
|
---|
| 940 | {
|
---|
| 941 | mMin[axis] = value;
|
---|
| 942 | }
|
---|
| 943 |
|
---|
| 944 |
|
---|
| 945 | void AxisAlignedBox3::SetMax(int axis, const float value)
|
---|
| 946 | {
|
---|
| 947 | mMax[axis] = value;
|
---|
| 948 | }
|
---|
| 949 |
|
---|
| 950 |
|
---|
| 951 | // Decrease box by given splitting plane
|
---|
| 952 | void AxisAlignedBox3::Reduce(int axis, int right, float value)
|
---|
| 953 | {
|
---|
| 954 | if ((value >=mMin[axis]) && (value <= mMax[axis]))
|
---|
| 955 | {
|
---|
| 956 | if (right)
|
---|
| 957 | mMin[axis] = value;
|
---|
| 958 | else
|
---|
| 959 | mMax[axis] = value;
|
---|
| 960 | }
|
---|
| 961 | }
|
---|
| 962 |
|
---|
| 963 |
|
---|
| 964 | Vector3 AxisAlignedBox3::Size() const
|
---|
| 965 | {
|
---|
| 966 | return mMax - mMin;
|
---|
| 967 | }
|
---|
| 968 |
|
---|
| 969 |
|
---|
| 970 | Vector3 AxisAlignedBox3::GetRandomPoint() const
|
---|
| 971 | {
|
---|
| 972 | Vector3 size = Size();
|
---|
| 973 |
|
---|
[2751] | 974 | return mMin + Vector3(RandomValue(0.0f, 1.0f),
|
---|
| 975 | RandomValue(0.0f, 1.0f),
|
---|
| 976 | RandomValue(0.0f, 1.0f)) * Size();
|
---|
[2747] | 977 | }
|
---|
| 978 |
|
---|
| 979 |
|
---|
| 980 | bool AxisAlignedBox3::Intersects(const Vector3 &lStart,
|
---|
| 981 | const Vector3 &lEnd) const
|
---|
| 982 | {
|
---|
| 983 | float st, et, fst = 0, fet = 1;
|
---|
| 984 | float const *bmin = &mMin.x;
|
---|
| 985 | float const *bmax = &mMax.x;
|
---|
| 986 | float const *si = &lStart.x;
|
---|
| 987 | float const *ei = &lEnd.x;
|
---|
| 988 |
|
---|
| 989 | for (int i = 0; i < 3; ++ i)
|
---|
| 990 | {
|
---|
| 991 | if (*si < *ei)
|
---|
| 992 | {
|
---|
| 993 | if (*si > *bmax || *ei < *bmin)
|
---|
| 994 | return false;
|
---|
| 995 |
|
---|
| 996 | const float di = *ei - *si;
|
---|
| 997 |
|
---|
| 998 | st = (*si < *bmin)? (*bmin - *si) / di : 0;
|
---|
| 999 | et = (*ei > *bmax)? (*bmax - *si) / di : 1;
|
---|
| 1000 | }
|
---|
| 1001 | else
|
---|
| 1002 | {
|
---|
| 1003 | if (*ei > *bmax || *si < *bmin)
|
---|
| 1004 | return false;
|
---|
| 1005 |
|
---|
| 1006 | const float di = *ei - *si;
|
---|
| 1007 |
|
---|
| 1008 | st = (*si > *bmax)? (*bmax - *si) / di : 0;
|
---|
| 1009 | et = (*ei < *bmin)? (*bmin - *si) / di : 1;
|
---|
| 1010 | }
|
---|
| 1011 |
|
---|
| 1012 | if (st > fst) fst = st;
|
---|
| 1013 | if (et < fet) fet = et;
|
---|
| 1014 | if (fet < fst)
|
---|
| 1015 | return false;
|
---|
| 1016 |
|
---|
| 1017 | ++ bmin; ++ bmax;
|
---|
| 1018 | ++ si; ++ ei;
|
---|
| 1019 | }
|
---|
| 1020 |
|
---|
| 1021 | //*time = fst;
|
---|
| 1022 | return true;
|
---|
| 1023 | }
|
---|
| 1024 |
|
---|
| 1025 |
|
---|
[2751] | 1026 | Vector3 AxisAlignedBox3::GetVertex(const int N) const
|
---|
| 1027 | {
|
---|
| 1028 | Vector3 v;
|
---|
| 1029 | GetVertex(N, v);
|
---|
| 1030 |
|
---|
| 1031 | return v;
|
---|
| 1032 | }
|
---|
| 1033 |
|
---|
| 1034 |
|
---|
| 1035 | float AxisAlignedBox3::GetExtent(int face) const
|
---|
| 1036 | {
|
---|
| 1037 | if (face < 3)
|
---|
| 1038 | return mMin[face];
|
---|
| 1039 | else
|
---|
[2755] | 1040 | return mMax[face - 3];
|
---|
[2751] | 1041 | }
|
---|
| 1042 |
|
---|
[2802] | 1043 |
|
---|
[2755] | 1044 | int AxisAlignedBox3::GetIndexNearestVertex(const Vector3 &vecPlaneNormal)
|
---|
| 1045 | {
|
---|
[2762] | 1046 | int x, y, z;
|
---|
[2755] | 1047 |
|
---|
[2762] | 1048 | x = (vecPlaneNormal.x > 0.0f) ? 0 : 1;
|
---|
| 1049 | y = (vecPlaneNormal.y > 0.0f) ? 0 : 1;
|
---|
| 1050 | z = (vecPlaneNormal.z > 0.0f) ? 0 : 1;
|
---|
| 1051 |
|
---|
| 1052 | return 4 * x + 2 * y + z;
|
---|
[2751] | 1053 | }
|
---|
| 1054 |
|
---|
[2755] | 1055 |
|
---|
| 1056 | int AxisAlignedBox3::GetIndexFarthestVertex(const Vector3 &vecPlaneNormal)
|
---|
| 1057 | {
|
---|
[2762] | 1058 | int x, y, z;
|
---|
[2755] | 1059 |
|
---|
[2762] | 1060 | x = (vecPlaneNormal.x <= 0.0f) ? 0 : 1;
|
---|
| 1061 | y = (vecPlaneNormal.y <= 0.0f) ? 0 : 1;
|
---|
| 1062 | z = (vecPlaneNormal.z <= 0.0f) ? 0 : 1;
|
---|
| 1063 |
|
---|
| 1064 | return 4 * x + 2 * y + z;
|
---|
[2755] | 1065 | }
|
---|
| 1066 |
|
---|
| 1067 |
|
---|
| 1068 | float AxisAlignedBox3::GetDistance(int index, const Plane3 &plane) const
|
---|
| 1069 | {
|
---|
| 1070 | return plane.Distance(GetVertex(index));
|
---|
| 1071 | }
|
---|
| 1072 |
|
---|
| 1073 |
|
---|
[2947] | 1074 | float AxisAlignedBox3::GetMinDistance(const Plane3 &near) const
|
---|
[2755] | 1075 | {
|
---|
| 1076 | return near.mNormal.x * ((near.mNormal.x > 0.0f) ? mMin.x : mMax.x) +
|
---|
| 1077 | near.mNormal.y * ((near.mNormal.y > 0.0f) ? mMin.y : mMax.y) +
|
---|
| 1078 | near.mNormal.z * ((near.mNormal.z > 0.0f) ? mMin.z : mMax.z) +
|
---|
| 1079 | near.mD;
|
---|
| 1080 | }
|
---|
| 1081 |
|
---|
[2911] | 1082 |
|
---|
[2947] | 1083 | float AxisAlignedBox3::GetMaxDistance(const Plane3 &near) const
|
---|
| 1084 | {
|
---|
| 1085 | return near.mNormal.x * ((near.mNormal.x <= 0.0f) ? mMin.x : mMax.x) +
|
---|
| 1086 | near.mNormal.y * ((near.mNormal.y <= 0.0f) ? mMin.y : mMax.y) +
|
---|
| 1087 | near.mNormal.z * ((near.mNormal.z <= 0.0f) ? mMin.z : mMax.z) +
|
---|
| 1088 | near.mD;
|
---|
| 1089 | }
|
---|
| 1090 |
|
---|
| 1091 |
|
---|
[2911] | 1092 | struct VertexData
|
---|
| 1093 | {
|
---|
| 1094 | Vector3 mVertex;
|
---|
| 1095 | float mAngle;
|
---|
| 1096 |
|
---|
| 1097 | VertexData(Vector3 vtx, float angle): mVertex(vtx), mAngle(angle)
|
---|
| 1098 | {}
|
---|
| 1099 |
|
---|
| 1100 | bool operator<(const VertexData &b) const
|
---|
| 1101 | {
|
---|
| 1102 | return mAngle > b.mAngle;
|
---|
| 1103 | }
|
---|
| 1104 | };
|
---|
| 1105 |
|
---|
| 1106 | // TODO: use a table to avoid normal and distance computations
|
---|
| 1107 | Polygon3 *AxisAlignedBox3::CrossSection(const Plane3 &plane) const
|
---|
| 1108 | {
|
---|
| 1109 | Polygon3 *planePoly = new Polygon3();
|
---|
| 1110 |
|
---|
| 1111 | int side[8];
|
---|
| 1112 | bool onFrontSide = false, onBackSide = false;
|
---|
| 1113 |
|
---|
| 1114 | Vector3 vtx;
|
---|
| 1115 |
|
---|
| 1116 | //////////////
|
---|
| 1117 | //-- compute classification of vertices
|
---|
| 1118 |
|
---|
| 1119 | for (int i = 0; i < 8; ++i)
|
---|
| 1120 | {
|
---|
| 1121 | GetVertex(i, vtx);
|
---|
| 1122 | side[i] = plane.Side(vtx);
|
---|
| 1123 | if (side[i] > 0)
|
---|
| 1124 | onFrontSide = true;
|
---|
| 1125 | else if (side[i] < 0)
|
---|
| 1126 | onBackSide = true;
|
---|
| 1127 | else // vertex coincident => push_back
|
---|
| 1128 | planePoly->mVertices.push_back(vtx);
|
---|
| 1129 | }
|
---|
| 1130 |
|
---|
| 1131 | ///////////
|
---|
| 1132 | //-- find intersections
|
---|
| 1133 |
|
---|
| 1134 | if (onFrontSide && onBackSide)
|
---|
| 1135 | {
|
---|
| 1136 | Vector3 ptA, ptB;
|
---|
| 1137 | for (int i = 0; i < 12; ++ i)
|
---|
| 1138 | {
|
---|
| 1139 | int aIdx, bIdx;
|
---|
| 1140 | GetEdge(i, aIdx, bIdx);
|
---|
| 1141 |
|
---|
| 1142 | ptA = GetVertex(aIdx);
|
---|
| 1143 | ptB = GetVertex(bIdx);
|
---|
| 1144 |
|
---|
| 1145 | int sideA = side[aIdx];
|
---|
| 1146 | int sideB = side[bIdx];
|
---|
| 1147 |
|
---|
| 1148 | if (((sideA > 0) && (sideB < 0)) || (sideA < 0) && (sideB > 0))
|
---|
| 1149 | planePoly->mVertices.push_back(plane.FindIntersection(ptA, ptB));
|
---|
| 1150 | }
|
---|
| 1151 | }
|
---|
| 1152 |
|
---|
| 1153 | // order intersections
|
---|
| 1154 | if (planePoly->mVertices.size() > 3)
|
---|
| 1155 | {
|
---|
| 1156 | Vector3 centerOfMass(0);
|
---|
| 1157 |
|
---|
| 1158 | int i;
|
---|
| 1159 | // compute center of mass
|
---|
| 1160 | for (i = 0; i < (int)planePoly->mVertices.size(); ++ i)
|
---|
| 1161 | centerOfMass += planePoly->mVertices[i];
|
---|
| 1162 |
|
---|
| 1163 | centerOfMass /= (float)planePoly->mVertices.size();
|
---|
| 1164 |
|
---|
| 1165 | vector<VertexData> vertexData;
|
---|
| 1166 | Vector3 refVec = Normalize(centerOfMass - planePoly->mVertices[0]);
|
---|
| 1167 |
|
---|
| 1168 | // compute angle to reference point
|
---|
| 1169 | for (i = 1; i < (int)planePoly->mVertices.size(); ++ i)
|
---|
| 1170 | {
|
---|
| 1171 | float angle =
|
---|
| 1172 | Angle(refVec, centerOfMass - planePoly->mVertices[i], plane.mNormal);
|
---|
| 1173 |
|
---|
| 1174 | vertexData.push_back(VertexData(planePoly->mVertices[i], angle));
|
---|
| 1175 | }
|
---|
| 1176 |
|
---|
| 1177 | std::stable_sort(vertexData.begin(), vertexData.end());
|
---|
| 1178 |
|
---|
| 1179 | // update vertices
|
---|
| 1180 | for (i = 1; i < (int)planePoly->mVertices.size(); ++ i)
|
---|
| 1181 | planePoly->mVertices[i] = vertexData[i - 1].mVertex;
|
---|
| 1182 | }
|
---|
| 1183 | else if (planePoly->mVertices.size() == 3)
|
---|
| 1184 | {
|
---|
| 1185 | // fix orientation if needed
|
---|
| 1186 | if (DotProd(planePoly->GetNormal(), plane.mNormal) < 0)
|
---|
| 1187 | {
|
---|
| 1188 | Vector3 v = planePoly->mVertices[1];
|
---|
| 1189 | planePoly->mVertices[1] = planePoly->mVertices[2];
|
---|
| 1190 | planePoly->mVertices[2] = v;
|
---|
| 1191 | }
|
---|
| 1192 | }
|
---|
| 1193 |
|
---|
| 1194 | return planePoly;
|
---|
[2755] | 1195 | }
|
---|
| 1196 |
|
---|
[2911] | 1197 |
|
---|
[2913] | 1198 | Plane3 AxisAlignedBox3::GetPlane(int face) const
|
---|
[2911] | 1199 | {
|
---|
| 1200 | switch (face)
|
---|
| 1201 | {
|
---|
| 1202 | case 0:
|
---|
[2913] | 1203 | return Plane3(Vector3(0, -1, 0), mMin);
|
---|
| 1204 | case 1:
|
---|
| 1205 | return Plane3(Vector3(0, 1, 0), mMax);
|
---|
| 1206 | case 2:
|
---|
[2911] | 1207 | return Plane3(Vector3(-1, 0, 0), mMin);
|
---|
[2913] | 1208 | case 3:
|
---|
[2911] | 1209 | return Plane3(Vector3(1, 0, 0), mMax);
|
---|
| 1210 | case 4:
|
---|
| 1211 | return Plane3(Vector3(0, 0, -1), mMin);
|
---|
| 1212 | case 5:
|
---|
| 1213 | return Plane3(Vector3(0, 0, 1), mMax);
|
---|
| 1214 | }
|
---|
| 1215 |
|
---|
| 1216 | // should not come here
|
---|
| 1217 | return Plane3();
|
---|
| 1218 | }
|
---|
| 1219 |
|
---|
| 1220 |
|
---|
[2913] | 1221 | /*int AxisAlignedBox3::Side(const Plane3 &plane) const
|
---|
| 1222 | {
|
---|
| 1223 | Vector3 v;
|
---|
| 1224 | int i, m=3, M=-3, s;
|
---|
| 1225 |
|
---|
| 1226 | for (i=0;i<8;i++)
|
---|
| 1227 | {
|
---|
| 1228 | GetVertex(i, v);
|
---|
| 1229 |
|
---|
| 1230 | if((s = plane.Side(v)) < m) m=s;
|
---|
| 1231 | if(s > M) M=s;
|
---|
| 1232 | if (m && m==-M) return 0;
|
---|
| 1233 | }
|
---|
| 1234 |
|
---|
| 1235 | return (m == M) ? m : m + M;
|
---|
| 1236 | }
|
---|
| 1237 | */
|
---|
| 1238 |
|
---|
[2911] | 1239 | int AxisAlignedBox3::Side(const Plane3 &plane) const
|
---|
| 1240 | {
|
---|
| 1241 | int s = 0;
|
---|
| 1242 | // if exactly one of the vertices lies on the plane
|
---|
| 1243 | // and the others are on the same side, the plane is tangent
|
---|
| 1244 | // to the box on either side and not intersecting
|
---|
| 1245 | for (int i = 0; i < 8; ++ i)
|
---|
| 1246 | {
|
---|
| 1247 | Vector3 pt;
|
---|
| 1248 | GetVertex(i, pt);
|
---|
| 1249 |
|
---|
| 1250 | int side = plane.Side(pt);
|
---|
| 1251 |
|
---|
| 1252 | if (side != 0)
|
---|
| 1253 | {
|
---|
| 1254 | if (side == -s)
|
---|
| 1255 | return 0; // sign changed => intersects
|
---|
| 1256 |
|
---|
| 1257 | s = side;
|
---|
| 1258 | }
|
---|
| 1259 | }
|
---|
| 1260 |
|
---|
| 1261 | return s;
|
---|
| 1262 | }
|
---|
| 1263 |
|
---|
| 1264 |
|
---|
[2913] | 1265 | Polyhedron *AxisAlignedBox3::CalcIntersection(const Polyhedron &polyhedron) const
|
---|
[2911] | 1266 | {
|
---|
[2913] | 1267 | Polyhedron *oldPolyhedron = new Polyhedron(polyhedron);
|
---|
[2911] | 1268 | Polyhedron *newPolyhedron = NULL;
|
---|
| 1269 |
|
---|
| 1270 | for (int i = 0; i < 6; ++ i)
|
---|
| 1271 | {
|
---|
[2913] | 1272 | newPolyhedron = oldPolyhedron->CalcIntersection(GetPlane(i));
|
---|
| 1273 |
|
---|
| 1274 | if (!newPolyhedron || !newPolyhedron->Valid())
|
---|
| 1275 | {
|
---|
| 1276 | DEL_PTR(newPolyhedron);
|
---|
[2944] | 1277 | //cerr << "polyhedron not valid or NULL!" << endl;
|
---|
[2913] | 1278 | return NULL;
|
---|
| 1279 | }
|
---|
| 1280 |
|
---|
[2911] | 1281 | DEL_PTR(oldPolyhedron);
|
---|
[2913] | 1282 | oldPolyhedron = newPolyhedron;
|
---|
[2911] | 1283 | }
|
---|
| 1284 |
|
---|
| 1285 | return newPolyhedron;
|
---|
| 1286 | }
|
---|
| 1287 |
|
---|
| 1288 |
|
---|
[2913] | 1289 |
|
---|
| 1290 | bool AxisAlignedBox3::Intersects(const SimpleRay &ray, float &tnear, float &tfar) const
|
---|
| 1291 | {
|
---|
| 1292 | tnear = -1e20f;
|
---|
| 1293 | tfar = 1e20f;
|
---|
| 1294 |
|
---|
| 1295 | const Vector3 origin = ray.mOrigin;
|
---|
| 1296 | const Vector3 dir = ray.mDirection;
|
---|
| 1297 |
|
---|
| 1298 | float t1, t2;
|
---|
| 1299 |
|
---|
| 1300 | // ray is parallel to the planes
|
---|
| 1301 | if (dir.x == 0)
|
---|
| 1302 | {
|
---|
| 1303 | if ((origin.x < mMin.x) || (origin.x > mMax.x))
|
---|
| 1304 | return false; // origin not between planes
|
---|
| 1305 | }
|
---|
| 1306 | else
|
---|
| 1307 | {
|
---|
| 1308 | // time at which ray intersects minimum X plane
|
---|
| 1309 | t1 = (mMin.x - origin.x) / dir.x;
|
---|
| 1310 | // time at which ray intersects maximum X plane
|
---|
| 1311 | t2 = (mMax.x - origin.x) / dir.x;
|
---|
| 1312 |
|
---|
| 1313 | if (t1 > t2)
|
---|
| 1314 | swap(t1, t2);
|
---|
| 1315 |
|
---|
| 1316 | if (t1 > tnear)
|
---|
| 1317 | tnear = t1;
|
---|
| 1318 |
|
---|
| 1319 | if (t2 < tfar)
|
---|
| 1320 | tfar = t2;
|
---|
| 1321 |
|
---|
| 1322 | if (tnear > tfar)
|
---|
| 1323 | return false;
|
---|
| 1324 |
|
---|
| 1325 | if (tfar < 0)
|
---|
| 1326 | return false;
|
---|
| 1327 | }
|
---|
| 1328 |
|
---|
| 1329 | if (dir.y == 0) // ray is parallel to the planes
|
---|
| 1330 | {
|
---|
| 1331 | if ((origin.y < mMin.y) || (origin.y > mMax.y))
|
---|
| 1332 | return false; // origin not between planes)
|
---|
| 1333 | }
|
---|
| 1334 | else
|
---|
| 1335 | {
|
---|
| 1336 | t1 = (mMin.y - origin.y) / dir.y;
|
---|
| 1337 | t2 = (mMax.y - origin.y) / dir.y;
|
---|
| 1338 |
|
---|
| 1339 | if (t1 > t2)
|
---|
| 1340 | swap(t1, t2);
|
---|
| 1341 |
|
---|
| 1342 | if (t1 > tnear)
|
---|
| 1343 | tnear = t1;
|
---|
| 1344 |
|
---|
| 1345 | if (t2 < tfar)
|
---|
| 1346 | tfar = t2;
|
---|
| 1347 |
|
---|
| 1348 | if (tnear > tfar)
|
---|
| 1349 | return false;
|
---|
| 1350 |
|
---|
| 1351 | if (tfar < 0)
|
---|
| 1352 | return false;
|
---|
| 1353 | }
|
---|
| 1354 |
|
---|
| 1355 | if (dir.z == 0) // ray is parallel to the planes
|
---|
| 1356 | {
|
---|
| 1357 | if ((origin.z < mMin.z) || (origin.z > mMax.z))
|
---|
| 1358 | return false; // origin not between planes)
|
---|
| 1359 | }
|
---|
| 1360 | else
|
---|
| 1361 | {
|
---|
| 1362 | t1 = (mMin.z - origin.z) / dir.z;
|
---|
| 1363 | t2 = (mMax.z - origin.z) / dir.z;
|
---|
| 1364 |
|
---|
| 1365 | if (t1 > t2)
|
---|
| 1366 | swap(t1, t2);
|
---|
| 1367 |
|
---|
| 1368 | if (t1 > tnear)
|
---|
| 1369 | tnear = t1;
|
---|
| 1370 |
|
---|
| 1371 | if (t2 < tfar)
|
---|
| 1372 | tfar = t2;
|
---|
| 1373 |
|
---|
| 1374 | if (tnear > tfar)
|
---|
| 1375 | return false;
|
---|
| 1376 |
|
---|
| 1377 | if (tfar < 0)
|
---|
| 1378 | return false;
|
---|
| 1379 | }
|
---|
| 1380 |
|
---|
| 1381 | return true;
|
---|
[2911] | 1382 | }
|
---|
| 1383 |
|
---|
[2913] | 1384 |
|
---|
[2929] | 1385 | void AxisAlignedBox3::ExtractPolygons(PolygonContainer &polys) const
|
---|
| 1386 | {
|
---|
| 1387 | Polygon3 *face1 = new Polygon3();
|
---|
| 1388 | polys.push_back(face1);
|
---|
| 1389 |
|
---|
| 1390 | face1->mVertices.push_back(Vector3(mMin.x, mMin.y, mMax.z));
|
---|
| 1391 | face1->mVertices.push_back(Vector3(mMin.x, mMax.y, mMax.z));
|
---|
| 1392 | face1->mVertices.push_back(Vector3(mMin.x, mMax.y ,mMin.z));
|
---|
| 1393 | face1->mVertices.push_back(Vector3(mMin.x, mMin.y, mMin.z));
|
---|
| 1394 |
|
---|
| 1395 | Polygon3 *face2 = new Polygon3();
|
---|
| 1396 | polys.push_back(face2);
|
---|
| 1397 |
|
---|
| 1398 | face2->mVertices.push_back(Vector3(mMax.x, mMin.y, mMin.z));
|
---|
| 1399 | face2->mVertices.push_back(Vector3(mMax.x, mMax.y, mMin.z));
|
---|
| 1400 | face2->mVertices.push_back(Vector3(mMax.x, mMax.y, mMax.z));
|
---|
| 1401 | face2->mVertices.push_back(Vector3(mMax.x, mMin.y, mMax.z));
|
---|
| 1402 |
|
---|
| 1403 | Polygon3 *face3 = new Polygon3();
|
---|
| 1404 | polys.push_back(face3);
|
---|
| 1405 |
|
---|
| 1406 | face3->mVertices.push_back(Vector3(mMax.x, mMin.y ,mMin.z));
|
---|
| 1407 | face3->mVertices.push_back(Vector3(mMax.x, mMin.y, mMax.z));
|
---|
| 1408 | face3->mVertices.push_back(Vector3(mMin.x, mMin.y, mMax.z));
|
---|
| 1409 | face3->mVertices.push_back(Vector3(mMin.x, mMin.y, mMin.z));
|
---|
| 1410 |
|
---|
| 1411 | Polygon3 *face4 = new Polygon3();
|
---|
| 1412 | polys.push_back(face4);
|
---|
| 1413 |
|
---|
| 1414 | face4->mVertices.push_back(Vector3(mMin.x, mMax.y, mMin.z));
|
---|
| 1415 | face4->mVertices.push_back(Vector3(mMin.x, mMax.y, mMax.z));
|
---|
| 1416 | face4->mVertices.push_back(Vector3(mMax.x, mMax.y, mMax.z));
|
---|
| 1417 | face4->mVertices.push_back(Vector3(mMax.x, mMax.y, mMin.z));
|
---|
| 1418 |
|
---|
| 1419 | Polygon3 *face5 = new Polygon3();
|
---|
| 1420 | polys.push_back(face5);
|
---|
| 1421 |
|
---|
| 1422 | face5->mVertices.push_back(Vector3(mMin.x, mMax.y, mMin.z));
|
---|
| 1423 | face5->mVertices.push_back(Vector3(mMax.x, mMax.y, mMin.z));
|
---|
| 1424 | face5->mVertices.push_back(Vector3(mMax.x, mMin.y, mMin.z));
|
---|
| 1425 | face5->mVertices.push_back(Vector3(mMin.x, mMin.y, mMin.z));
|
---|
| 1426 |
|
---|
| 1427 | Polygon3 *face6 = new Polygon3();
|
---|
| 1428 | polys.push_back(face6);
|
---|
| 1429 |
|
---|
| 1430 | face6->mVertices.push_back(Vector3(mMin.x, mMin.y, mMax.z));
|
---|
| 1431 | face6->mVertices.push_back(Vector3(mMax.x, mMin.y, mMax.z));
|
---|
| 1432 | face6->mVertices.push_back(Vector3(mMax.x, mMax.y, mMax.z));
|
---|
| 1433 | face6->mVertices.push_back(Vector3(mMin.x, mMax.y, mMax.z));
|
---|
[2913] | 1434 | }
|
---|
| 1435 |
|
---|
[2951] | 1436 |
|
---|
| 1437 | void AxisAlignedBox3::Triangulate(std::vector<Triangle3> &triangles) const
|
---|
| 1438 | {
|
---|
| 1439 | Triangle3 tri;
|
---|
| 1440 |
|
---|
| 1441 | tri.mVertices[0] = Vector3(mMin.x, mMax.y ,mMin.z);
|
---|
| 1442 | tri.mVertices[1] = Vector3(mMin.x, mMax.y, mMax.z);
|
---|
| 1443 | tri.mVertices[2] = Vector3(mMin.x, mMin.y, mMax.z);
|
---|
| 1444 |
|
---|
| 1445 | triangles.push_back(tri);
|
---|
| 1446 |
|
---|
| 1447 | tri.mVertices[0] = Vector3(mMin.x, mMin.y, mMax.z);
|
---|
| 1448 | tri.mVertices[1] = Vector3(mMin.x, mMin.y, mMin.z);
|
---|
| 1449 | tri.mVertices[2] = Vector3(mMin.x, mMax.y ,mMin.z);
|
---|
| 1450 |
|
---|
| 1451 | triangles.push_back(tri);
|
---|
| 1452 |
|
---|
| 1453 | //////////////////////////////////////
|
---|
| 1454 |
|
---|
| 1455 | tri.mVertices[0] = Vector3(mMax.x, mMax.y, mMax.z);
|
---|
| 1456 | tri.mVertices[1] = Vector3(mMax.x, mMax.y, mMin.z);
|
---|
| 1457 | tri.mVertices[2] = Vector3(mMax.x, mMin.y, mMin.z);
|
---|
| 1458 |
|
---|
| 1459 | triangles.push_back(tri);
|
---|
| 1460 |
|
---|
| 1461 | tri.mVertices[0] = Vector3(mMax.x, mMin.y, mMin.z);
|
---|
| 1462 | tri.mVertices[1] = Vector3(mMax.x, mMin.y, mMax.z);
|
---|
| 1463 | tri.mVertices[2] = Vector3(mMax.x, mMax.y, mMax.z);
|
---|
| 1464 |
|
---|
| 1465 | triangles.push_back(tri);
|
---|
| 1466 |
|
---|
| 1467 |
|
---|
| 1468 | //////////////////////////////////////
|
---|
| 1469 |
|
---|
| 1470 | tri.mVertices[0] = Vector3(mMin.x, mMin.y, mMax.z);
|
---|
| 1471 | tri.mVertices[1] = Vector3(mMax.x, mMin.y, mMax.z);
|
---|
| 1472 | tri.mVertices[2] = Vector3(mMax.x, mMin.y ,mMin.z);
|
---|
| 1473 |
|
---|
| 1474 | triangles.push_back(tri);
|
---|
| 1475 |
|
---|
| 1476 | tri.mVertices[0] = Vector3(mMax.x, mMin.y ,mMin.z);
|
---|
| 1477 | tri.mVertices[1] = Vector3(mMin.x, mMin.y, mMin.z);
|
---|
| 1478 | tri.mVertices[2] = Vector3(mMin.x, mMin.y, mMax.z);
|
---|
| 1479 |
|
---|
| 1480 | triangles.push_back(tri);
|
---|
| 1481 |
|
---|
| 1482 |
|
---|
| 1483 | //////////////////////////////////////
|
---|
| 1484 |
|
---|
| 1485 | tri.mVertices[0] = Vector3(mMax.x, mMax.y, mMax.z);
|
---|
| 1486 | tri.mVertices[1] = Vector3(mMin.x, mMax.y, mMax.z);
|
---|
| 1487 | tri.mVertices[2] = Vector3(mMin.x, mMax.y, mMin.z);
|
---|
| 1488 |
|
---|
| 1489 | triangles.push_back(tri);
|
---|
| 1490 |
|
---|
| 1491 | tri.mVertices[0] = Vector3(mMin.x, mMax.y, mMin.z);
|
---|
| 1492 | tri.mVertices[1] = Vector3(mMax.x, mMax.y, mMin.z);
|
---|
| 1493 | tri.mVertices[2] = Vector3(mMax.x, mMax.y, mMax.z);
|
---|
| 1494 |
|
---|
| 1495 | triangles.push_back(tri);
|
---|
| 1496 |
|
---|
| 1497 |
|
---|
| 1498 | //////////////////////////////////////
|
---|
| 1499 |
|
---|
| 1500 | tri.mVertices[0] = Vector3(mMax.x, mMin.y, mMin.z);
|
---|
| 1501 | tri.mVertices[1] = Vector3(mMax.x, mMax.y, mMin.z);
|
---|
| 1502 | tri.mVertices[2] = Vector3(mMin.x, mMax.y, mMin.z);
|
---|
| 1503 |
|
---|
| 1504 | triangles.push_back(tri);
|
---|
| 1505 |
|
---|
| 1506 | tri.mVertices[0] = Vector3(mMin.x, mMax.y, mMin.z);
|
---|
| 1507 | tri.mVertices[1] = Vector3(mMin.x, mMin.y, mMin.z);
|
---|
| 1508 | tri.mVertices[2] = Vector3(mMax.x, mMin.y, mMin.z);
|
---|
| 1509 |
|
---|
| 1510 | triangles.push_back(tri);
|
---|
| 1511 |
|
---|
| 1512 |
|
---|
| 1513 | //////////////////////////////////////
|
---|
| 1514 |
|
---|
| 1515 | tri.mVertices[0] = Vector3(mMax.x, mMax.y, mMax.z);
|
---|
| 1516 | tri.mVertices[1] = Vector3(mMax.x, mMin.y, mMax.z);
|
---|
| 1517 | tri.mVertices[2] = Vector3(mMin.x, mMin.y, mMax.z);
|
---|
| 1518 |
|
---|
| 1519 | triangles.push_back(tri);
|
---|
| 1520 |
|
---|
| 1521 | tri.mVertices[0] = Vector3(mMin.x, mMin.y, mMax.z);
|
---|
| 1522 | tri.mVertices[1] = Vector3(mMin.x, mMax.y, mMax.z);
|
---|
| 1523 | tri.mVertices[2] = Vector3(mMax.x, mMax.y, mMax.z);
|
---|
| 1524 |
|
---|
| 1525 | triangles.push_back(tri);
|
---|
[2929] | 1526 | }
|
---|
| 1527 |
|
---|
[2951] | 1528 |
|
---|
[3070] | 1529 | int AxisAlignedBox3::MajorAxis() const
|
---|
| 1530 | {
|
---|
| 1531 | const Vector3 sizeVec = mMax - mMin;
|
---|
| 1532 |
|
---|
| 1533 | int axis;
|
---|
| 1534 |
|
---|
| 1535 | if (sizeVec.x > sizeVec.y) axis = (sizeVec.x > sizeVec.z) ? 0 : 2;
|
---|
| 1536 | else axis = (sizeVec.y > sizeVec.z) ? 1 : 2;
|
---|
| 1537 |
|
---|
| 1538 | return axis;
|
---|
[2951] | 1539 | }
|
---|
| 1540 |
|
---|
[3070] | 1541 |
|
---|
| 1542 | }
|
---|
| 1543 |
|
---|