[2755] | 1 | #include "Bvh.h"
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| 2 | #include "Camera.h"
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| 3 | #include "Plane3.h"
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| 4 | #include "glInterface.h"
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| 5 | #include "Triangle3.h"
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[2756] | 6 | #include "SceneEntity.h"
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| 7 | #include "Geometry.h"
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[2773] | 8 | #include "RenderState.h"
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[2825] | 9 | #include "Material.h"
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[3264] | 10 | #include "BvhConstructor.h"
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[2795] | 11 | #include "gzstream.h"
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[2751] | 12 |
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[3021] | 13 | #include <queue>
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| 14 | #include <stack>
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| 15 | #include <fstream>
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| 16 | #include <iostream>
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| 17 | #include <iomanip>
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[2773] | 18 |
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[3021] | 19 |
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| 20 | #ifdef _CRT_SET
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| 21 | #define _CRTDBG_MAP_ALLOC
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| 22 | #include <stdlib.h>
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| 23 | #include <crtdbg.h>
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| 24 |
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| 25 | // redefine new operator
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| 26 | #define DEBUG_NEW new(_NORMAL_BLOCK, __FILE__, __LINE__)
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| 27 | #define new DEBUG_NEW
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| 28 | #endif
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| 29 |
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[2746] | 30 | #define INVALID_TEST ((unsigned int)-1)
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| 31 |
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| 32 | using namespace std;
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| 33 |
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[3072] | 34 |
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[3065] | 35 | namespace CHCDemoEngine
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| 36 | {
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[2746] | 37 |
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[2895] | 38 | int BvhNode::sCurrentState = 0;
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[2746] | 39 |
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[2895] | 40 |
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[2746] | 41 | /*
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| 42 | 3 x---------x 2
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| 43 | |\ \
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| 44 | | \ \
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| 45 | | \ \
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| 46 | | 4 x---------x 5
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| 47 | | | |
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| 48 | 0 x | x 1 |
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| 49 | \ | |
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| 50 | \ | |
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| 51 | \| |
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| 52 | 7 x---------x 6
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| 53 | */
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| 54 |
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| 55 | static unsigned int sIndices[] =
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| 56 | {7, // degenerated
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| 57 | 7, 6, 4, 5, 3, 2, 0, 1,
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| 58 | 1, 4, // degenerated
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| 59 | 4, 3, 7, 0, 6, 1, 5, 2,
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| 60 | 2 // degenerated
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| 61 | };
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| 62 |
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| 63 |
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[3202] | 64 | const static int NUM_INDICES_PER_BOX = 20;
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[2746] | 65 |
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| 66 | /* Order of vertices
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| 67 | 0 = (0, 0, 0)
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| 68 | 1 = (1, 0, 0)
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| 69 | 2 = (1, 1, 0)
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| 70 | 3 = (0, 1, 0)
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| 71 | 4 = (0, 1, 1)
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| 72 | 5 = (1, 1, 1)
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| 73 | 6 = (1, 0, 1)
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| 74 | 7 = (0, 0, 1)
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| 75 | */
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| 76 |
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[2755] | 77 | static Plane3 sNearPlane;
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[3065] | 78 | static float sNear;
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[2911] | 79 | static Frustum sFrustum;
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[2746] | 80 |
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[2755] | 81 | /// these values are valid for all nodes
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| 82 | static int sClipPlaneAABBVertexIndices[12];
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| 83 |
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[3201] | 84 | //#define ALIGN_INDICES
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[2795] | 85 |
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[3072] | 86 |
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[2746] | 87 | BvhNode::BvhNode(BvhNode *parent):
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| 88 | mParent(parent),
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| 89 | mAxis(-1),
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| 90 | mDepth(0),
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| 91 | mFirst(-1),
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| 92 | mLast(-1),
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| 93 | mNumTestNodes(1),
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| 94 | mTestNodesIdx(-1),
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[2755] | 95 | mIndicesPtr(-1),
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[2761] | 96 | mId(0),
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| 97 | mIsMaxDepthForVirtualLeaf(false),
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| 98 | mIsVirtualLeaf(false)
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[2746] | 99 | {
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[2895] | 100 | for (int i = 0; i < NUM_STATES; ++ i)
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| 101 | {
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| 102 | mPlaneMask[i] = 0;
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| 103 | mPreferredPlane[i]= 0;
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[2897] | 104 | mLastRenderedFrame[i] = -1;
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[2895] | 105 | }
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[2746] | 106 | }
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| 107 |
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| 108 |
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[2761] | 109 | BvhNode::~BvhNode()
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| 110 | {
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| 111 | }
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| 112 |
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| 113 |
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[2746] | 114 | void BvhNode::ResetVisibility()
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| 115 | {
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[2895] | 116 | for (int i = 0; i < NUM_STATES; ++ i)
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| 117 | {
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| 118 | mVisibility[i].Reset();
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[2897] | 119 | mLastRenderedFrame[i] = -1;
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| 120 | mPlaneMask[i] = 0;
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| 121 | mPreferredPlane[i]= 0;
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[2895] | 122 | }
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[2746] | 123 | }
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| 124 |
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| 125 |
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| 126 | void BvhNode::VisibilityInfo::Reset()
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| 127 | {
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| 128 | mIsVisible = false;
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[2770] | 129 | mAssumedVisibleFrameId = 0;
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[2746] | 130 | mLastVisitedFrame = -1;
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| 131 | mTimesInvisible = 0;
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| 132 | mIsFrustumCulled = false;
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| 133 | mIsNew = true;
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[2800] | 134 | mLastQueriedFrame = -1;
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[2746] | 135 | }
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| 136 |
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| 137 |
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[2792] | 138 | BvhInterior::~BvhInterior()
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| 139 | {
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| 140 | DEL_PTR(mBack);
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| 141 | DEL_PTR(mFront);
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| 142 | }
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| 143 |
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| 144 |
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[2746] | 145 | BvhLeaf::~BvhLeaf()
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| 146 | {
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| 147 | }
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| 148 |
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[3262] | 149 | BvhInterior::BvhInterior(BvhNode *parent):
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| 150 | mBack(NULL), mFront(NULL), BvhNode(parent)
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| 151 | {}
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[2746] | 152 |
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| 153 |
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[3262] | 154 | bool BvhInterior::IsLeaf() const
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| 155 | {
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| 156 | return false;
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| 157 | }
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[2746] | 158 |
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[3070] | 159 |
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| 160 |
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[3262] | 161 | BvhLeaf::BvhLeaf(BvhNode *parent): BvhNode(parent)
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| 162 | {}
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[3072] | 163 |
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[3262] | 164 |
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| 165 | bool BvhLeaf::IsLeaf() const
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| 166 | {
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| 167 | return true;
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[3070] | 168 | }
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| 169 |
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| 170 |
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[3262] | 171 |
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| 172 | /**********************************************************/
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| 173 | /* class Bvh implementation */
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| 174 | /**********************************************************/
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| 175 |
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| 176 |
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[2773] | 177 | Bvh::Bvh()
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| 178 | {
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| 179 | Init();
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| 180 | }
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[2746] | 181 |
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[2760] | 182 |
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[3072] | 183 | Bvh::Bvh(const SceneEntityContainer &staticEntities,
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| 184 | const SceneEntityContainer &dynamicEntities)
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[2746] | 185 | {
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[2773] | 186 | Init();
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| 187 |
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[3072] | 188 | mGeometrySize = staticEntities.size() + dynamicEntities.size();
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[2760] | 189 | mGeometry = new SceneEntity*[mGeometrySize];
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[2796] | 190 |
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[3072] | 191 | mStaticGeometrySize = staticEntities.size();
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| 192 | mDynamicGeometrySize = dynamicEntities.size();
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[2746] | 193 |
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[3072] | 194 | for (size_t i = 0; i < mStaticGeometrySize; ++ i)
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[2746] | 195 | {
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[3072] | 196 | mGeometry[i] = staticEntities[i];
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[2746] | 197 | }
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[3072] | 198 |
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| 199 | for (size_t i = 0; i < mDynamicGeometrySize; ++ i)
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| 200 | {
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| 201 | mGeometry[mStaticGeometrySize + i] = dynamicEntities[i];
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| 202 | }
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[3125] | 203 |
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[3266] | 204 | //cout << "max depth for testing children " << mMaxDepthForTestingChildren << endl;
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[2760] | 205 | }
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[2746] | 206 |
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| 207 |
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[3123] | 208 | Bvh::Bvh(const SceneEntityContainer &staticEntities,
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| 209 | const SceneEntityContainer &dynamicEntities,
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| 210 | int maxDepthForTestingChildren)
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| 211 | {
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| 212 | Init();
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| 213 |
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| 214 | mGeometrySize = staticEntities.size() + dynamicEntities.size();
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| 215 | mGeometry = new SceneEntity*[mGeometrySize];
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| 216 |
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| 217 | mStaticGeometrySize = staticEntities.size();
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| 218 | mDynamicGeometrySize = dynamicEntities.size();
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| 219 |
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| 220 | for (size_t i = 0; i < mStaticGeometrySize; ++ i)
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| 221 | {
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| 222 | mGeometry[i] = staticEntities[i];
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| 223 | }
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| 224 |
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| 225 | for (size_t i = 0; i < mDynamicGeometrySize; ++ i)
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| 226 | {
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| 227 | mGeometry[mStaticGeometrySize + i] = dynamicEntities[i];
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| 228 | }
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| 229 |
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| 230 | mMaxDepthForTestingChildren = maxDepthForTestingChildren;
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[3266] | 231 | //cout << "max depth for testing children " << mMaxDepthForTestingChildren << endl;
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[3123] | 232 | }
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| 233 |
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| 234 |
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[2746] | 235 | Bvh::~Bvh()
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| 236 | {
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[3074] | 237 | DEL_ARRAY_PTR(mVertices);
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| 238 | DEL_ARRAY_PTR(mIndices);
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| 239 | DEL_ARRAY_PTR(mTestIndices);
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| 240 | DEL_ARRAY_PTR(mGeometry);
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[2746] | 241 |
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| 242 | if (mRoot) delete mRoot;
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[2792] | 243 | // delete vbo
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| 244 | glDeleteBuffersARB(1, &mVboId);
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[2746] | 245 | }
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| 246 |
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| 247 |
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[2773] | 248 | void Bvh::Init()
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| 249 | {
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[3074] | 250 | mStaticRoot = NULL;
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[3064] | 251 | mDynamicRoot = NULL;
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[2773] | 252 | mRoot = NULL;
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[3064] | 253 |
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[2773] | 254 | mVertices = NULL;
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| 255 | mIndices = NULL;
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| 256 | mTestIndices = NULL;
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| 257 | mCurrentIndicesPtr = 0;
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| 258 | mNumNodes = 0;
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[2795] | 259 |
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[3064] | 260 | // nodes are tested using the subnodes from 3 levels below
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[3066] | 261 | mMaxDepthForTestingChildren = 3;
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[3064] | 262 | // the ratio of area between node and subnodes where
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| 263 | // testing the subnodes as proxy is still considered feasable
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[2795] | 264 | mAreaRatioThreshold = 2.0f;
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| 265 | //mAreaRatioThreshold = 1.4f;
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| 266 |
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[2773] | 267 | mVboId = -1;
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[3265] | 268 | // bounds the maximal depth of the dynamic branch
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| 269 | mMaxDepthForDynamicBranch = 10;
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[2773] | 270 | }
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| 271 |
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| 272 |
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[3064] | 273 |
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| 274 | //////////////////////
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| 275 | //-- functions that are used during the main traversal
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| 276 |
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| 277 | void Bvh::PullUpLastVisited(BvhNode *node, int frameId) const
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[2746] | 278 | {
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| 279 | BvhNode *parent = node->GetParent();
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| 280 |
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| 281 | while (parent && (parent->GetLastVisitedFrame() != frameId))
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| 282 | {
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| 283 | parent->SetLastVisitedFrame(frameId);
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| 284 | parent = parent->GetParent();
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| 285 | }
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| 286 | }
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| 287 |
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| 288 |
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| 289 | void Bvh::MakeParentsVisible(BvhNode *node)
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| 290 | {
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| 291 | BvhNode *parent = node->GetParent();
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| 292 |
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| 293 | while (parent && (!parent->IsVisible()))
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| 294 | {
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| 295 | parent->SetVisible(true);
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| 296 | parent = parent->GetParent();
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| 297 | }
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| 298 | }
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| 299 |
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| 300 |
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[3064] | 301 | ////////////////////////////////
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| 302 |
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[2746] | 303 | void Bvh::CollectLeaves(BvhNode *node, BvhLeafContainer &leaves)
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| 304 | {
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| 305 | stack<BvhNode *> tStack;
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| 306 | tStack.push(node);
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| 307 |
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| 308 | while (!tStack.empty())
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| 309 | {
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| 310 | BvhNode *node = tStack.top();
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| 311 |
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| 312 | tStack.pop();
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| 313 |
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| 314 | if (!node->IsLeaf())
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| 315 | {
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| 316 | BvhInterior *interior = static_cast<BvhInterior *>(node);
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| 317 |
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| 318 | tStack.push(interior->mFront);
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| 319 | tStack.push(interior->mBack);
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| 320 | }
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| 321 | else
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| 322 | {
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| 323 | leaves.push_back(static_cast<BvhLeaf *>(node));
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| 324 | }
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| 325 | }
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| 326 | }
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| 327 |
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| 328 |
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[3259] | 329 | int Bvh::CountNumNodes(BvhNode *node) const
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| 330 | {
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| 331 | int numNodes = 0;
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| 332 |
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| 333 | stack<BvhNode *> tStack;
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| 334 |
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| 335 | tStack.push(node);
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| 336 |
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| 337 | while (!tStack.empty())
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| 338 | {
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| 339 | BvhNode *node = tStack.top();
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| 340 | tStack.pop();
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| 341 |
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| 342 | ++ numNodes;
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| 343 |
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| 344 | if (!node->IsLeaf())
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| 345 | {
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| 346 | BvhInterior *interior = static_cast<BvhInterior *>(node);
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| 347 |
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| 348 | tStack.push(interior->mFront);
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| 349 | tStack.push(interior->mBack);
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| 350 | }
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| 351 | }
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| 352 |
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| 353 | return numNodes;
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| 354 | }
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| 355 |
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| 356 |
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[2746] | 357 | void Bvh::CollectNodes(BvhNode *node, BvhNodeContainer &nodes)
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| 358 | {
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| 359 | stack<BvhNode *> tStack;
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| 360 |
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| 361 | tStack.push(node);
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| 362 |
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| 363 | while (!tStack.empty())
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| 364 | {
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| 365 | BvhNode *node = tStack.top();
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| 366 | tStack.pop();
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| 367 |
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| 368 | nodes.push_back(node);
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| 369 |
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| 370 | if (!node->IsLeaf())
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| 371 | {
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| 372 | BvhInterior *interior = static_cast<BvhInterior *>(node);
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| 373 |
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| 374 | tStack.push(interior->mFront);
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| 375 | tStack.push(interior->mBack);
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| 376 | }
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| 377 | }
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| 378 | }
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| 379 |
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| 380 |
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| 381 | typedef pair<BvhNode *, int> tPair;
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| 382 |
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[2755] | 383 | void Bvh::CollectNodes(BvhNode *root, BvhNodeContainer &nodes, int depth)
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[2746] | 384 | {
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| 385 | stack<tPair> tStack;
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| 386 | tStack.push(tPair(root, 0));
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| 387 |
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| 388 | while (!tStack.empty())
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| 389 | {
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| 390 | BvhNode *node = tStack.top().first;
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| 391 | const int d = tStack.top().second;
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| 392 |
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| 393 | tStack.pop();
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| 394 |
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[3065] | 395 | // found node in specified depth => take this node
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[2755] | 396 | if ((d == depth) || (node->IsLeaf()))
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[2746] | 397 | {
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| 398 | nodes.push_back(node);
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| 399 | }
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[2755] | 400 | else
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[2951] | 401 | {
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[2746] | 402 | BvhInterior *interior = static_cast<BvhInterior *>(node);
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| 403 |
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| 404 | tStack.push(tPair(interior->mFront, d + 1));
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| 405 | tStack.push(tPair(interior->mBack, d + 1));
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| 406 | }
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| 407 | }
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| 408 | }
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| 409 |
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| 410 |
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[2951] | 411 | SceneEntity **Bvh::GetGeometry(BvhNode *node, int &geometrySize) const
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[2746] | 412 | {
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| 413 | geometrySize = node->CountPrimitives();
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| 414 | return mGeometry + node->mFirst;
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| 415 | }
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| 416 |
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| 417 |
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[2762] | 418 | bool Bvh::TestPlane(BvhNode *node, int i, bool &bIntersect)
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| 419 | {
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| 420 | // do the test only if necessary
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[2895] | 421 | if (!(node->mPlaneMask[BvhNode::sCurrentState] & (1 << i)))
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[3065] | 422 | {
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[2763] | 423 | return true;
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[3065] | 424 | }
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| 425 |
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| 426 |
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[2763] | 427 | ////////
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| 428 | //-- test the n-vertex
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| 429 |
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| 430 | if ((node->mBox.GetDistance(sClipPlaneAABBVertexIndices[i * 2 + 0], sFrustum.mClipPlanes[i]) > 0.0f))
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| 431 | {
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| 432 | // outside
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[2895] | 433 | node->mPreferredPlane[BvhNode::sCurrentState] = i;
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[2763] | 434 | return false;
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[2762] | 435 | }
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| 436 |
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[2763] | 437 | ////////////
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| 438 | //-- test the p-vertex
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| 439 |
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| 440 | if (node->mBox.GetDistance(sClipPlaneAABBVertexIndices[i * 2 + 1], sFrustum.mClipPlanes[i]) <= 0.0f)
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| 441 | {
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| 442 | // completely inside: children don't need to check against this plane no more
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[2895] | 443 | node->mPlaneMask[BvhNode::sCurrentState] ^= 1 << i;
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[2763] | 444 | }
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| 445 | else
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| 446 | {
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| 447 | bIntersect = true;
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| 448 | }
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| 449 |
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[2762] | 450 | return true;
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| 451 | }
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| 452 |
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| 453 |
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[2755] | 454 | int Bvh::IsWithinViewFrustum(BvhNode *node)
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[2746] | 455 | {
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| 456 | bool bIntersect = false;
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| 457 |
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| 458 | if (node->GetParent())
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[2895] | 459 | node->mPlaneMask[BvhNode::sCurrentState] = node->GetParent()->mPlaneMask[BvhNode::sCurrentState];
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[2746] | 460 |
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| 461 | ////////
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[3065] | 462 | //-- apply frustum culling for the planes with index mPreferredPlane to 6
|
---|
[2763] | 463 |
|
---|
[2895] | 464 | for (int i = node->mPreferredPlane[BvhNode::sCurrentState]; i < 6; ++ i)
|
---|
[2762] | 465 | if (!TestPlane(node, i, bIntersect)) return 0;
|
---|
[2763] | 466 |
|
---|
[2895] | 467 |
|
---|
[2746] | 468 | //////////
|
---|
[3065] | 469 | //-- apply frustum culling for the planes with index 0 to mPreferredPlane
|
---|
[2746] | 470 |
|
---|
[2895] | 471 | for (int i = 0; i < node->mPreferredPlane[BvhNode::sCurrentState]; ++ i)
|
---|
[2762] | 472 | if (!TestPlane(node, i, bIntersect)) return 0;
|
---|
[2763] | 473 |
|
---|
[2746] | 474 | return bIntersect ? -1 : 1;
|
---|
| 475 | }
|
---|
| 476 |
|
---|
| 477 |
|
---|
[2911] | 478 | static void CalcNPVertexIndices(const Frustum &frustum, int *indices)
|
---|
| 479 | {
|
---|
| 480 | for (int i = 0; i < 6; ++ i)
|
---|
| 481 | {
|
---|
| 482 | // n-vertex
|
---|
| 483 | indices[i * 2 + 0] = AxisAlignedBox3::GetIndexNearestVertex(frustum.mClipPlanes[i].mNormal);
|
---|
| 484 | // p-vertex
|
---|
| 485 | indices[i * 2 + 1] = AxisAlignedBox3::GetIndexFarthestVertex(frustum.mClipPlanes[i].mNormal);
|
---|
| 486 | }
|
---|
| 487 | }
|
---|
| 488 |
|
---|
| 489 |
|
---|
[3074] | 490 | void Bvh::InitFrame(Camera *cam, RenderState *state)
|
---|
[2746] | 491 | {
|
---|
| 492 | // = 0011 1111 which means that at the beginning, all six planes have to frustum culled
|
---|
[2895] | 493 | mRoot->mPlaneMask[BvhNode::sCurrentState] = 0x3f;
|
---|
[2746] | 494 |
|
---|
[2897] | 495 | cam->CalcFrustum(sFrustum);
|
---|
[2911] | 496 | CalcNPVertexIndices(sFrustum, sClipPlaneAABBVertexIndices);
|
---|
[2746] | 497 |
|
---|
[2763] | 498 | // store near plane
|
---|
[2897] | 499 | sNearPlane = Plane3(cam->GetDirection(), cam->GetPosition());
|
---|
[3065] | 500 | sNear = cam->GetNear();
|
---|
[3053] | 501 |
|
---|
[3072] | 502 | // update dynamic part of the hierarchy
|
---|
| 503 | //if (!mDynamicEntities.empty())
|
---|
| 504 | if (mDynamicGeometrySize)
|
---|
[3053] | 505 | {
|
---|
[3267] | 506 | UpdateBoundingBoxes(mDynamicRoot);
|
---|
[3074] | 507 | UpdateDynamicBounds(state);
|
---|
[3053] | 508 | }
|
---|
[2746] | 509 | }
|
---|
| 510 |
|
---|
| 511 |
|
---|
[2954] | 512 | void Bvh::UpdateDistance(BvhNode *node) const
|
---|
[2746] | 513 | {
|
---|
[3065] | 514 | // q: should we use distance to center rather than the distance to the near plane?
|
---|
[3068] | 515 | // distance to near plane can also be used for checking near plane intersection
|
---|
| 516 | //node->mDistance = sNearPlane.Distance(node->GetBox().Center());
|
---|
| 517 | node->mDistance = node->GetBox().GetMinDistance(sNearPlane);
|
---|
[2746] | 518 | }
|
---|
| 519 |
|
---|
| 520 |
|
---|
[2947] | 521 | float Bvh::CalcMaxDistance(BvhNode *node) const
|
---|
| 522 | {
|
---|
[3068] | 523 | #if 1
|
---|
[2947] | 524 | return node->GetBox().GetMaxDistance(sNearPlane);
|
---|
[2951] | 525 |
|
---|
[3068] | 526 | #else
|
---|
| 527 | // use bounding boxes of geometry to determine max dist
|
---|
[2951] | 528 | float maxDist = .0f;
|
---|
| 529 |
|
---|
| 530 | int geometrySize;
|
---|
| 531 | SceneEntity **entities = GetGeometry(node, geometrySize);
|
---|
| 532 |
|
---|
| 533 | for (int i = 0; i < geometrySize; ++ i)
|
---|
| 534 | {
|
---|
| 535 | SceneEntity *ent = entities[i];
|
---|
[3070] | 536 | float dist = ent->GetWorldBoundingBox().GetMaxDistance(sNearPlane);
|
---|
[2951] | 537 |
|
---|
| 538 | if (dist > maxDist) maxDist = dist;
|
---|
| 539 | }
|
---|
| 540 |
|
---|
| 541 | return maxDist;
|
---|
[3068] | 542 | #endif
|
---|
[2947] | 543 | }
|
---|
| 544 |
|
---|
| 545 |
|
---|
[2786] | 546 | void Bvh::RenderBounds(BvhNode *node, RenderState *state, bool useTightBounds)
|
---|
[2746] | 547 | {
|
---|
[3065] | 548 | // hack: use dummy contayiner as wrapper in order to use multibox function
|
---|
| 549 | static BvhNodeContainer dummy(1);
|
---|
| 550 | dummy[0] = node;
|
---|
| 551 | RenderBounds(dummy, state, useTightBounds);
|
---|
[2746] | 552 | }
|
---|
| 553 |
|
---|
| 554 |
|
---|
[2786] | 555 | int Bvh::RenderBounds(const BvhNodeContainer &nodes,
|
---|
| 556 | RenderState *state,
|
---|
| 557 | bool useTightBounds)
|
---|
[2746] | 558 | {
|
---|
[2786] | 559 | int renderedBoxes;
|
---|
| 560 |
|
---|
| 561 | if (!useTightBounds)
|
---|
| 562 | {
|
---|
[3064] | 563 | // if not using tight bounds, rendering boxes in immediate mode
|
---|
| 564 | // is preferable to vertex arrays (less setup time)
|
---|
[2786] | 565 | BvhNodeContainer::const_iterator nit, nit_end = nodes.end();
|
---|
| 566 |
|
---|
| 567 | for (nit = nodes.begin(); nit != nit_end; ++ nit)
|
---|
| 568 | {
|
---|
| 569 | RenderBoundingBoxImmediate((*nit)->GetBox());
|
---|
| 570 | }
|
---|
[3065] | 571 |
|
---|
[2786] | 572 | renderedBoxes = (int)nodes.size();
|
---|
| 573 | }
|
---|
| 574 | else
|
---|
[3065] | 575 | {
|
---|
[2786] | 576 | renderedBoxes = PrepareBoundsWithDrawArrays(nodes);
|
---|
| 577 | RenderBoundsWithDrawArrays(renderedBoxes, state);
|
---|
| 578 | }
|
---|
| 579 |
|
---|
[2746] | 580 | return renderedBoxes;
|
---|
| 581 | }
|
---|
| 582 |
|
---|
| 583 |
|
---|
[2786] | 584 | int Bvh::PrepareBoundsWithDrawArrays(const BvhNodeContainer &nodes)
|
---|
[2746] | 585 | {
|
---|
[3064] | 586 | ///////////////////
|
---|
| 587 | //-- for the first time we come here => create vbo and indices
|
---|
[3074] | 588 |
|
---|
[2746] | 589 | if (!mIndices)
|
---|
[3064] | 590 | {
|
---|
| 591 | // create list of indices
|
---|
[2746] | 592 | CreateIndices();
|
---|
| 593 | }
|
---|
| 594 |
|
---|
[2773] | 595 | if (mVboId == -1)
|
---|
[2746] | 596 | {
|
---|
| 597 | // prepare the vbo
|
---|
| 598 | PrepareVertices();
|
---|
| 599 | }
|
---|
[3074] | 600 |
|
---|
[2746] | 601 | ///////////////
|
---|
| 602 |
|
---|
| 603 | int numNodes = 0;
|
---|
[3074] | 604 |
|
---|
[2746] | 605 | BvhNodeContainer::const_iterator nit, nit_end = nodes.end();
|
---|
| 606 |
|
---|
| 607 | for (nit = nodes.begin(); nit != nit_end; ++ nit)
|
---|
| 608 | {
|
---|
| 609 | BvhNode *node = *nit;
|
---|
[3202] | 610 | const int numIndices = node->mNumTestNodes * NUM_INDICES_PER_BOX;
|
---|
[2746] | 611 |
|
---|
| 612 | // copy indices
|
---|
[3202] | 613 | memcpy(mIndices + numNodes * NUM_INDICES_PER_BOX,
|
---|
[2746] | 614 | mTestIndices + node->mIndicesPtr,
|
---|
| 615 | numIndices * sizeof(unsigned int));
|
---|
[2795] | 616 |
|
---|
[2746] | 617 | numNodes += node->mNumTestNodes;
|
---|
| 618 | }
|
---|
[3074] | 619 |
|
---|
[2746] | 620 | return numNodes;
|
---|
| 621 | }
|
---|
| 622 |
|
---|
| 623 |
|
---|
[2786] | 624 | void Bvh::RenderBoundsWithDrawArrays(int numNodes, RenderState *state)
|
---|
[2746] | 625 | {
|
---|
[3064] | 626 | /////////
|
---|
| 627 | //-- Render the vbo
|
---|
[2773] | 628 |
|
---|
| 629 | if (state->GetCurrentVboId() != mVboId)
|
---|
| 630 | {
|
---|
| 631 | glBindBufferARB(GL_ARRAY_BUFFER_ARB, mVboId);
|
---|
[2746] | 632 | // set the vertex pointer to the vertex buffer
|
---|
[2773] | 633 | glVertexPointer(3, GL_FLOAT, 0, (char *)NULL);
|
---|
[2746] | 634 |
|
---|
[2773] | 635 | state->SetCurrentVboId(mVboId);
|
---|
| 636 | }
|
---|
[2746] | 637 |
|
---|
[3202] | 638 | // we don't use the last or the first index (they are generate and only used to connect strips)
|
---|
| 639 | int numElements = numNodes * NUM_INDICES_PER_BOX - 1;
|
---|
[2746] | 640 | // don't render first degenerate index
|
---|
| 641 | glDrawElements(GL_TRIANGLE_STRIP, numElements, GL_UNSIGNED_INT, mIndices + 1);
|
---|
| 642 | }
|
---|
| 643 |
|
---|
| 644 |
|
---|
| 645 | void Bvh::CreateIndices()
|
---|
| 646 | {
|
---|
| 647 | // collect bvh nodes
|
---|
| 648 | BvhNodeContainer nodes;
|
---|
[3202] | 649 | // first collect dynamic nodes so we make sure that they are in the beginning
|
---|
| 650 | CollectNodes(mDynamicRoot, nodes);
|
---|
| 651 | // then collect static nodes
|
---|
| 652 | CollectNodes(mStaticRoot, nodes);
|
---|
| 653 | //CollectNodes(mRoot, nodes);
|
---|
[3271] | 654 | // also add root
|
---|
| 655 | nodes.push_back(mRoot);
|
---|
[2746] | 656 |
|
---|
[2755] | 657 | cout << "creating new indices" << endl;
|
---|
[2746] | 658 |
|
---|
| 659 | int numMaxIndices = 0;
|
---|
| 660 |
|
---|
| 661 | BvhNodeContainer::const_iterator lit, lit_end = nodes.end();
|
---|
| 662 |
|
---|
| 663 | for (lit = nodes.begin(); lit != lit_end; ++ lit)
|
---|
| 664 | {
|
---|
[3202] | 665 | int offset = (*lit)->mNumTestNodes * NUM_INDICES_PER_BOX;
|
---|
[2795] | 666 | #ifdef ALIGN_INDICES
|
---|
[3064] | 667 | // align with 32 in order to speed up memcopy
|
---|
[2746] | 668 | offset = (offset / 32) * 32 + 32;
|
---|
| 669 | #endif
|
---|
| 670 | numMaxIndices += offset;
|
---|
| 671 | }
|
---|
| 672 |
|
---|
[2755] | 673 | cout << "creating global indices buffer" << endl;
|
---|
[2746] | 674 |
|
---|
[3202] | 675 | if (mIndices) delete [] mIndices;
|
---|
[2746] | 676 | if (mTestIndices) delete [] mTestIndices;
|
---|
| 677 |
|
---|
| 678 | // global buffer: create it once so we don't have
|
---|
[3202] | 679 | // to allocate memory for each individual chunk of the node
|
---|
[2746] | 680 | mIndices = new unsigned int[numMaxIndices];
|
---|
| 681 | // create new index buffer for the individual nodes
|
---|
| 682 | mTestIndices = new unsigned int[numMaxIndices];
|
---|
| 683 |
|
---|
| 684 | mCurrentIndicesPtr = 0;
|
---|
| 685 |
|
---|
| 686 | for (lit = nodes.begin(); lit != lit_end; ++ lit)
|
---|
| 687 | {
|
---|
| 688 | BvhNode *node = *lit;
|
---|
| 689 |
|
---|
| 690 | // resize array
|
---|
| 691 | node->mIndicesPtr = mCurrentIndicesPtr;
|
---|
| 692 | int numIndices = 0;
|
---|
| 693 |
|
---|
[3065] | 694 | // the bounding boxes of the test nodes are rendered instead of the node itself
|
---|
[2746] | 695 | // => store their indices
|
---|
[3202] | 696 | for (int i = 0; i < node->mNumTestNodes; ++ i, numIndices += NUM_INDICES_PER_BOX)
|
---|
[2746] | 697 | {
|
---|
[2755] | 698 | BvhNode *testNode = mTestNodes[node->mTestNodesIdx + i];
|
---|
[2746] | 699 |
|
---|
[3202] | 700 | // add vertex indices of boxes to root node
|
---|
| 701 | for (int j = 0; j < NUM_INDICES_PER_BOX; ++ j)
|
---|
[2746] | 702 | {
|
---|
| 703 | mTestIndices[mCurrentIndicesPtr + numIndices + j] = sIndices[j] + testNode->GetId() * 8;
|
---|
| 704 | }
|
---|
| 705 | }
|
---|
| 706 |
|
---|
| 707 | // align with 32
|
---|
[2795] | 708 | #ifdef ALIGN_INDICES
|
---|
[2746] | 709 | const int offset = (numIndices / 32) * 32 + 32;
|
---|
| 710 | #else
|
---|
| 711 | const int offset = numIndices;
|
---|
| 712 | #endif
|
---|
| 713 | mCurrentIndicesPtr += offset;
|
---|
| 714 | }
|
---|
| 715 | }
|
---|
| 716 |
|
---|
| 717 |
|
---|
| 718 | void Bvh::ComputeIds()
|
---|
| 719 | {
|
---|
[2756] | 720 | // collect all nodes
|
---|
[2755] | 721 | BvhNodeContainer nodes;
|
---|
[3074] | 722 | //CollectNodes(mRoot, nodes);
|
---|
| 723 | // first collect dynamic nodes so we make sure that they are in the beginning
|
---|
| 724 | CollectNodes(mDynamicRoot, nodes);
|
---|
| 725 | // then collect static nodes
|
---|
| 726 | CollectNodes(mStaticRoot, nodes);
|
---|
| 727 | // also add root
|
---|
| 728 | nodes.push_back(mRoot);
|
---|
[2746] | 729 |
|
---|
[3074] | 730 | // assign ids to all nodes of the hierarchy
|
---|
[2746] | 731 | int i = 0;
|
---|
[2756] | 732 | BvhNodeContainer::const_iterator lit, lit_end = nodes.end();
|
---|
[2746] | 733 |
|
---|
| 734 | for (lit = nodes.begin(); lit != lit_end; ++ lit, ++ i)
|
---|
| 735 | {
|
---|
| 736 | (*lit)->SetId(i);
|
---|
| 737 | }
|
---|
| 738 | }
|
---|
| 739 |
|
---|
[2756] | 740 |
|
---|
[2746] | 741 | void Bvh::PrepareVertices()
|
---|
| 742 | {
|
---|
[2755] | 743 | // collect all nodes
|
---|
| 744 | BvhNodeContainer nodes;
|
---|
[2746] | 745 |
|
---|
[3073] | 746 | nodes.reserve(GetNumNodes());
|
---|
[3074] | 747 | // first collect dynamic nodes so we make sure that they are in the beginning
|
---|
| 748 | CollectNodes(mDynamicRoot, nodes);
|
---|
| 749 | // then collect static nodes
|
---|
| 750 | CollectNodes(mStaticRoot, nodes);
|
---|
| 751 | // also add root
|
---|
| 752 | nodes.push_back(mRoot);
|
---|
[2746] | 753 |
|
---|
| 754 | const unsigned int bufferSize = 8 * (int)nodes.size();
|
---|
[2755] | 755 | mVertices = new Vector3[bufferSize];
|
---|
[2746] | 756 |
|
---|
| 757 | int i = 0;
|
---|
| 758 |
|
---|
| 759 | // store bounding box vertices
|
---|
[2755] | 760 | BvhNodeContainer::const_iterator lit, lit_end = nodes.end();
|
---|
[2746] | 761 |
|
---|
| 762 | for (lit = nodes.begin(); lit != lit_end; ++ lit, i += 8)
|
---|
| 763 | {
|
---|
[2755] | 764 | BvhNode *node = *lit;
|
---|
[3202] | 765 | Vector3 v;
|
---|
| 766 |
|
---|
[2746] | 767 | for (int j = 0; j < 8; ++ j)
|
---|
[3202] | 768 | {
|
---|
| 769 | node->GetBox().GetVertex2(j, v);
|
---|
| 770 | (static_cast<Vector3 *>(mVertices))[node->GetId() * 8 + j] = v;
|
---|
| 771 | }
|
---|
[2746] | 772 | }
|
---|
| 773 |
|
---|
[2773] | 774 | glGenBuffersARB(1, &mVboId);
|
---|
| 775 | glBindBufferARB(GL_ARRAY_BUFFER_ARB, mVboId);
|
---|
| 776 | glVertexPointer(3, GL_FLOAT, 0, (char *)NULL);
|
---|
[2746] | 777 |
|
---|
[2773] | 778 | glBufferDataARB(GL_ARRAY_BUFFER_ARB,
|
---|
| 779 | bufferSize * sizeof(Vector3),
|
---|
| 780 | mVertices,
|
---|
[3074] | 781 | //GL_STATIC_DRAW_ARB);
|
---|
| 782 | GL_DYNAMIC_DRAW_ARB);
|
---|
[2746] | 783 |
|
---|
[2800] | 784 | glBindBufferARB(GL_ARRAY_BUFFER_ARB, 0);
|
---|
[2746] | 785 |
|
---|
[2773] | 786 | // data handled by graphics driver from now on
|
---|
[3074] | 787 | DEL_ARRAY_PTR(mVertices);
|
---|
[2746] | 788 |
|
---|
[3064] | 789 | cout << "******** created vbos for tighter bounds *********" << endl;
|
---|
[2746] | 790 | }
|
---|
| 791 |
|
---|
| 792 |
|
---|
[3074] | 793 | void Bvh::UpdateDynamicBounds(RenderState *state)
|
---|
| 794 | {
|
---|
| 795 | // vbos not created yet
|
---|
| 796 | if (mVboId == -1) return;
|
---|
| 797 |
|
---|
| 798 | // collect all nodes
|
---|
| 799 | static BvhNodeContainer nodes;
|
---|
| 800 | nodes.clear();
|
---|
[3259] | 801 |
|
---|
[3074] | 802 | CollectNodes(mDynamicRoot, nodes);
|
---|
[3271] | 803 | // also add root
|
---|
| 804 | nodes.push_back(mRoot);
|
---|
[3074] | 805 |
|
---|
| 806 | const unsigned int bufferSize = 8 * (int)nodes.size();
|
---|
| 807 | if (!mVertices) mVertices = new Vector3[bufferSize];
|
---|
| 808 |
|
---|
| 809 | int i = 0;
|
---|
| 810 |
|
---|
| 811 | // store bounding box vertices
|
---|
| 812 | BvhNodeContainer::const_iterator lit, lit_end = nodes.end();
|
---|
| 813 |
|
---|
| 814 | for (lit = nodes.begin(); lit != lit_end; ++ lit, i += 8)
|
---|
| 815 | {
|
---|
| 816 | BvhNode *node = *lit;
|
---|
| 817 |
|
---|
| 818 | for (int j = 0; j < 8; ++ j)
|
---|
[3271] | 819 | {
|
---|
[3074] | 820 | (static_cast<Vector3 *>(mVertices))[node->GetId() * 8 + j] = node->GetBox().GetVertex(j);
|
---|
[3271] | 821 | }
|
---|
[3074] | 822 | }
|
---|
| 823 |
|
---|
| 824 | if (state->GetCurrentVboId() != mVboId)
|
---|
| 825 | {
|
---|
| 826 | glBindBufferARB(GL_ARRAY_BUFFER_ARB, mVboId);
|
---|
| 827 | // set the vertex pointer to the vertex buffer
|
---|
| 828 | glVertexPointer(3, GL_FLOAT, 0, (char *)NULL);
|
---|
| 829 | state->SetCurrentVboId(mVboId);
|
---|
| 830 | }
|
---|
| 831 |
|
---|
| 832 | glBufferSubDataARB(GL_ARRAY_BUFFER_ARB, 0,
|
---|
| 833 | bufferSize * sizeof(Vector3),
|
---|
| 834 | mVertices);
|
---|
| 835 | }
|
---|
| 836 |
|
---|
| 837 |
|
---|
[2755] | 838 | void Bvh::SetMaxDepthForTestingChildren(int maxDepth)
|
---|
[2746] | 839 | {
|
---|
| 840 | if (maxDepth != mMaxDepthForTestingChildren)
|
---|
| 841 | {
|
---|
| 842 | mMaxDepthForTestingChildren = maxDepth;
|
---|
| 843 | RecomputeBounds();
|
---|
| 844 | }
|
---|
| 845 | }
|
---|
| 846 |
|
---|
| 847 |
|
---|
[2755] | 848 | void Bvh::SetAreaRatioThresholdForTestingChildren(float ratio)
|
---|
[2746] | 849 | {
|
---|
| 850 | if (ratio != mAreaRatioThreshold)
|
---|
| 851 | {
|
---|
| 852 | mAreaRatioThreshold = ratio;
|
---|
| 853 | RecomputeBounds();
|
---|
| 854 | }
|
---|
| 855 | }
|
---|
| 856 |
|
---|
| 857 |
|
---|
| 858 | void Bvh::RecomputeBounds()
|
---|
| 859 | {
|
---|
| 860 | // collect all nodes
|
---|
| 861 | BvhNodeContainer nodes;
|
---|
[3065] | 862 | CollectNodes(mRoot, nodes);
|
---|
[2746] | 863 |
|
---|
[3269] | 864 | cout << "\nrecomputing bounds, children will be tested in depth " << mMaxDepthForTestingChildren << endl;
|
---|
[2746] | 865 |
|
---|
| 866 | int success = 0;
|
---|
| 867 | BvhNodeContainer::const_iterator lit, lit_end = nodes.end();
|
---|
| 868 |
|
---|
| 869 | for (lit = nodes.begin(); lit != lit_end; ++ lit)
|
---|
| 870 | {
|
---|
| 871 | BvhNode *node = *lit;
|
---|
| 872 |
|
---|
[2795] | 873 | // recreate list of nodes that will be queried as a proxy
|
---|
[2755] | 874 | if (CreateNodeRenderList(node))
|
---|
| 875 | ++ success;
|
---|
[2746] | 876 | }
|
---|
| 877 |
|
---|
[2755] | 878 | float p = 100.0f * (float)success / nodes.size();
|
---|
| 879 | cout << "created tighter bounds for " << p << " percent of the nodes" << endl;
|
---|
[2746] | 880 |
|
---|
[3267] | 881 | // recreate indices used for indirect rendering mode
|
---|
[2894] | 882 | if (mIndices) CreateIndices();
|
---|
[2746] | 883 | }
|
---|
| 884 |
|
---|
| 885 |
|
---|
| 886 | bool Bvh::CreateNodeRenderList(BvhNode *node)
|
---|
| 887 | {
|
---|
[2755] | 888 | BvhNodeContainer children;
|
---|
[2746] | 889 |
|
---|
[2755] | 890 | // collect nodes that will be tested instead of the leaf node
|
---|
| 891 | // in order to get a tighter bounding box test
|
---|
| 892 | CollectNodes(node, children, mMaxDepthForTestingChildren);
|
---|
| 893 |
|
---|
[2746] | 894 |
|
---|
| 895 | // using the tighter bounds is not feasable in case
|
---|
| 896 | // that the tighter bounds represent nearly the same projected area
|
---|
[3064] | 897 | // as the old bounding box. Test this property using either
|
---|
| 898 | // volume or area heuristics
|
---|
[2746] | 899 |
|
---|
| 900 | float vol = 0;
|
---|
| 901 | float area = 0;
|
---|
| 902 |
|
---|
[2755] | 903 | BvhNodeContainer::const_iterator cit;
|
---|
[2746] | 904 |
|
---|
| 905 | for (cit = children.begin(); cit != children.end(); ++ cit)
|
---|
[2755] | 906 | area += (*cit)->GetBox().SurfaceArea();
|
---|
[2746] | 907 |
|
---|
[2755] | 908 | const float areaRatio = area / node->GetBox().SurfaceArea();
|
---|
[2746] | 909 |
|
---|
| 910 | bool success;
|
---|
| 911 |
|
---|
[2755] | 912 | if (areaRatio < mAreaRatioThreshold)
|
---|
[2746] | 913 | success = true;
|
---|
| 914 | else
|
---|
| 915 | {
|
---|
| 916 | // hack: only store node itself
|
---|
| 917 | children.clear();
|
---|
| 918 | children.push_back(node);
|
---|
| 919 |
|
---|
| 920 | success = false;
|
---|
| 921 | }
|
---|
| 922 |
|
---|
| 923 | // the new test nodes are added at the end of the vector
|
---|
[2755] | 924 | node->mTestNodesIdx = (int)mTestNodes.size();
|
---|
[2746] | 925 |
|
---|
[3072] | 926 | // use the collected nodes as proxy for the occlusion tests
|
---|
[2746] | 927 | for (cit = children.begin(); cit != children.end(); ++ cit)
|
---|
| 928 | {
|
---|
[2755] | 929 | BvhNode *child = *cit;
|
---|
[2746] | 930 | mTestNodes.push_back(child);
|
---|
| 931 | }
|
---|
| 932 |
|
---|
| 933 | node->mNumTestNodes = (int)children.size();
|
---|
| 934 |
|
---|
| 935 | return success;
|
---|
| 936 | }
|
---|
| 937 |
|
---|
| 938 |
|
---|
| 939 | void Bvh::ResetNodeClassifications()
|
---|
| 940 | {
|
---|
| 941 | BvhNodeContainer nodes;
|
---|
| 942 |
|
---|
| 943 | nodes.reserve(GetNumNodes());
|
---|
| 944 | CollectNodes(mRoot, nodes);
|
---|
| 945 |
|
---|
| 946 | BvhNodeContainer::const_iterator lit, lit_end = nodes.end();
|
---|
| 947 |
|
---|
| 948 | for (lit = nodes.begin(); lit != lit_end; ++ lit)
|
---|
| 949 | {
|
---|
| 950 | (*lit)->ResetVisibility();
|
---|
| 951 | }
|
---|
| 952 | }
|
---|
| 953 |
|
---|
| 954 |
|
---|
[3070] | 955 | void Bvh::ComputeBvhStats(BvhNode *root, BvhStats &bvhStats)
|
---|
[2746] | 956 | {
|
---|
[3070] | 957 | bvhStats.Reset();
|
---|
[2746] | 958 | std::stack<BvhNode *> nodeStack;
|
---|
[3070] | 959 | nodeStack.push(root);
|
---|
[2746] | 960 |
|
---|
[2786] | 961 | int numVirtualLeaves = 0;
|
---|
[3070] | 962 | int numGeometry = 0;
|
---|
[3267] | 963 |
|
---|
[2746] | 964 | while (!nodeStack.empty())
|
---|
| 965 | {
|
---|
| 966 | BvhNode *node = nodeStack.top();
|
---|
| 967 | nodeStack.pop();
|
---|
| 968 |
|
---|
[2773] | 969 | if (node->IsVirtualLeaf())
|
---|
[2746] | 970 | {
|
---|
[2786] | 971 | ++ numVirtualLeaves;
|
---|
[3070] | 972 | numGeometry += node->CountPrimitives();
|
---|
[2786] | 973 |
|
---|
[2746] | 974 | BvhLeaf *leaf = static_cast<BvhLeaf *>(node);
|
---|
| 975 |
|
---|
[3070] | 976 | bvhStats.mTriangles += CountTriangles(leaf);
|
---|
| 977 | bvhStats.mLeafSA += leaf->mBox.SurfaceArea();
|
---|
| 978 | bvhStats.mLeafVol += leaf->mBox.GetVolume();
|
---|
[2746] | 979 | }
|
---|
| 980 | else
|
---|
| 981 | {
|
---|
[3070] | 982 | bvhStats.mInteriorSA += node->mBox.SurfaceArea();
|
---|
| 983 | bvhStats.mInteriorVol += node->mBox.GetVolume();
|
---|
[2746] | 984 |
|
---|
| 985 | BvhInterior *interior = static_cast<BvhInterior *>(node);
|
---|
| 986 |
|
---|
| 987 | nodeStack.push(interior->mBack);
|
---|
| 988 | nodeStack.push(interior->mFront);
|
---|
| 989 | }
|
---|
| 990 | }
|
---|
| 991 |
|
---|
[3070] | 992 | bvhStats.mGeometryRatio = (float)numGeometry / numVirtualLeaves;
|
---|
| 993 | bvhStats.mTriangleRatio = (float)bvhStats.mTriangles / numVirtualLeaves;
|
---|
| 994 | bvhStats.mLeaves = numVirtualLeaves;
|
---|
[2746] | 995 | }
|
---|
| 996 |
|
---|
| 997 |
|
---|
[3266] | 998 | void Bvh::PrintBvhStats(const BvhStats &bvhStats, BvhNode *root) const
|
---|
[2746] | 999 | {
|
---|
[3266] | 1000 | cout << "interiorNodesSA = " << bvhStats.mInteriorSA / root->mBox.SurfaceArea() << endl;
|
---|
| 1001 | cout << "leafNodesSA = " << bvhStats.mLeafSA / root->mBox.SurfaceArea() << endl;
|
---|
| 1002 | cout << "interiorNodesVolume = " << bvhStats.mInteriorVol / root->mBox.GetVolume() << endl;
|
---|
| 1003 | cout << "leafNodesVolume = " << bvhStats.mLeafVol / root->mBox.GetVolume() << endl;
|
---|
[2746] | 1004 |
|
---|
[3070] | 1005 | cout << "geometry per leaf: " << bvhStats.mGeometryRatio << endl;
|
---|
| 1006 | cout << "triangles per leaf: " << bvhStats.mTriangleRatio << endl;
|
---|
| 1007 | cout << "===========================================" << endl << endl;
|
---|
[2746] | 1008 | }
|
---|
| 1009 |
|
---|
| 1010 |
|
---|
| 1011 | int Bvh::CountTriangles(BvhNode *node) const
|
---|
| 1012 | {
|
---|
| 1013 | int numTriangles = 0;
|
---|
| 1014 |
|
---|
| 1015 | for (int i = node->mFirst; i <= node->mLast; ++ i)
|
---|
[2774] | 1016 | {
|
---|
[2848] | 1017 | numTriangles += mGeometry[i]->CountNumTriangles(0);
|
---|
[2774] | 1018 | }
|
---|
| 1019 |
|
---|
[2746] | 1020 | return numTriangles;
|
---|
| 1021 | }
|
---|
| 1022 |
|
---|
| 1023 |
|
---|
[2756] | 1024 | float Bvh::GetArea(BvhNode *node) const
|
---|
[2746] | 1025 | {
|
---|
| 1026 | return node->mArea;
|
---|
| 1027 | }
|
---|
| 1028 |
|
---|
[2760] | 1029 |
|
---|
| 1030 | void Bvh::UpdateNumLeaves(BvhNode *node) const
|
---|
| 1031 | {
|
---|
| 1032 | if (node->IsLeaf())
|
---|
| 1033 | {
|
---|
| 1034 | node->mNumLeaves = 1;
|
---|
| 1035 | }
|
---|
| 1036 | else
|
---|
| 1037 | {
|
---|
| 1038 | BvhNode *f = static_cast<BvhInterior *>(node)->GetFront();
|
---|
| 1039 | BvhNode *b = static_cast<BvhInterior *>(node)->GetBack();
|
---|
| 1040 |
|
---|
| 1041 | UpdateNumLeaves(f);
|
---|
| 1042 | UpdateNumLeaves(b);
|
---|
| 1043 |
|
---|
| 1044 | node->mNumLeaves = f->mNumLeaves + b->mNumLeaves;
|
---|
| 1045 | }
|
---|
[2746] | 1046 | }
|
---|
[2760] | 1047 |
|
---|
| 1048 |
|
---|
[2761] | 1049 | void Bvh::CollectVirtualLeaves(BvhNode *node, BvhNodeContainer &leaves)
|
---|
| 1050 | {
|
---|
| 1051 | stack<BvhNode *> tStack;
|
---|
| 1052 | tStack.push(node);
|
---|
| 1053 |
|
---|
| 1054 | while (!tStack.empty())
|
---|
| 1055 | {
|
---|
| 1056 | BvhNode *node = tStack.top();
|
---|
| 1057 | tStack.pop();
|
---|
| 1058 |
|
---|
| 1059 | if (node->mIsVirtualLeaf)
|
---|
| 1060 | {
|
---|
| 1061 | leaves.push_back(node);
|
---|
| 1062 | }
|
---|
| 1063 | else if (!node->IsLeaf())
|
---|
| 1064 | {
|
---|
| 1065 | BvhInterior *interior = static_cast<BvhInterior *>(node);
|
---|
| 1066 |
|
---|
| 1067 | tStack.push(interior->mFront);
|
---|
| 1068 | tStack.push(interior->mBack);
|
---|
| 1069 | }
|
---|
| 1070 | }
|
---|
[2760] | 1071 | }
|
---|
[2761] | 1072 |
|
---|
| 1073 |
|
---|
| 1074 | void Bvh::SetVirtualLeaves(int numTriangles)
|
---|
| 1075 | {
|
---|
[3064] | 1076 | // first invalidate old virtual leaves
|
---|
[2761] | 1077 | BvhNodeContainer leaves;
|
---|
[3065] | 1078 | CollectVirtualLeaves(mRoot, leaves);
|
---|
[2761] | 1079 |
|
---|
| 1080 | BvhNodeContainer::const_iterator bit, bit_end = leaves.end();
|
---|
| 1081 |
|
---|
| 1082 | for (bit = leaves.begin(); bit != bit_end; ++ bit)
|
---|
| 1083 | {
|
---|
| 1084 | (*bit)->mIsVirtualLeaf = false;
|
---|
| 1085 | }
|
---|
| 1086 |
|
---|
[2764] | 1087 | mNumVirtualNodes = 0;
|
---|
[3064] | 1088 | // assign new virtual leaves based on specified #triangles per leaf
|
---|
[2761] | 1089 | std::stack<BvhNode *> nodeStack;
|
---|
[3267] | 1090 | nodeStack.push(mStaticRoot);
|
---|
| 1091 | nodeStack.push(mDynamicRoot);
|
---|
[2761] | 1092 |
|
---|
| 1093 | while (!nodeStack.empty())
|
---|
| 1094 | {
|
---|
| 1095 | BvhNode *node = nodeStack.top();
|
---|
| 1096 | nodeStack.pop();
|
---|
| 1097 |
|
---|
[2764] | 1098 | ++ mNumVirtualNodes;
|
---|
| 1099 |
|
---|
[2761] | 1100 | if (node->IsLeaf())
|
---|
| 1101 | {
|
---|
| 1102 | BvhLeaf *leaf = static_cast<BvhLeaf *>(node);
|
---|
| 1103 | leaf->mIsVirtualLeaf = true;
|
---|
| 1104 | }
|
---|
| 1105 | else
|
---|
| 1106 | {
|
---|
| 1107 | BvhInterior *interior = static_cast<BvhInterior *>(node);
|
---|
| 1108 |
|
---|
| 1109 | BvhNode *f = interior->mFront;
|
---|
| 1110 | BvhNode *b = interior->mBack;
|
---|
| 1111 |
|
---|
[3064] | 1112 | if (node->mIsMaxDepthForVirtualLeaf ||
|
---|
| 1113 | (CountTriangles(node) <= numTriangles))
|
---|
[2761] | 1114 | {
|
---|
[3267] | 1115 | //cout << " l " << CountTriangles(node) << " " << node->mIsMaxDepthForVirtualLeaf << endl;
|
---|
[3266] | 1116 | node->mIsVirtualLeaf = true;
|
---|
[2761] | 1117 | }
|
---|
| 1118 | else
|
---|
| 1119 | {
|
---|
| 1120 | nodeStack.push(interior->mBack);
|
---|
| 1121 | nodeStack.push(interior->mFront);
|
---|
| 1122 | }
|
---|
| 1123 | }
|
---|
| 1124 | }
|
---|
[2800] | 1125 |
|
---|
[3064] | 1126 | /// Reset the node states
|
---|
[2800] | 1127 | ResetNodeClassifications();
|
---|
[2761] | 1128 | }
|
---|
| 1129 |
|
---|
| 1130 |
|
---|
[3072] | 1131 | void Bvh::ComputeMaxDepthForVirtualLeaves()
|
---|
[2761] | 1132 | {
|
---|
[3072] | 1133 | // We initialize the maximal depth for virtual leaves
|
---|
[3064] | 1134 | // of this bvh, i.e., the nodes that are used as
|
---|
| 1135 | // leaves of the hierarchy during traversal.
|
---|
| 1136 |
|
---|
| 1137 | // Initially they are set either
|
---|
| 1138 | // a) to the real leaves of the hierarchy or
|
---|
| 1139 | // b) the point where the subdivision on object level ends
|
---|
| 1140 | // and the subsequent nodes are just used to provide tighter bounds
|
---|
| 1141 | // (see article for the notations)
|
---|
| 1142 |
|
---|
[2761] | 1143 | std::stack<BvhNode *> nodeStack;
|
---|
| 1144 |
|
---|
[3267] | 1145 | nodeStack.push(mStaticRoot);
|
---|
| 1146 | nodeStack.push(mDynamicRoot);
|
---|
| 1147 |
|
---|
[2761] | 1148 | while (!nodeStack.empty())
|
---|
| 1149 | {
|
---|
| 1150 | BvhNode *node = nodeStack.top();
|
---|
| 1151 | nodeStack.pop();
|
---|
[3267] | 1152 |
|
---|
[2761] | 1153 | if (node->IsLeaf())
|
---|
| 1154 | {
|
---|
| 1155 | node->mIsMaxDepthForVirtualLeaf = true;
|
---|
| 1156 | }
|
---|
| 1157 | else
|
---|
| 1158 | {
|
---|
| 1159 | BvhInterior *interior = static_cast<BvhInterior *>(node);
|
---|
| 1160 |
|
---|
| 1161 | BvhNode *f = interior->mFront;
|
---|
| 1162 | BvhNode *b = interior->mBack;
|
---|
| 1163 |
|
---|
| 1164 | if ((f->mFirst == b->mFirst) && (f->mLast == b->mLast))
|
---|
| 1165 | {
|
---|
[3064] | 1166 | // point reached where beyond there would be no further reduction
|
---|
| 1167 | // as both subtrees contain the same objects => stop here
|
---|
| 1168 | // The tree beyond the current node is used to describe
|
---|
| 1169 | // tighter bounds on the geometry contained in it
|
---|
[2761] | 1170 | node->mIsMaxDepthForVirtualLeaf = true;
|
---|
| 1171 | }
|
---|
| 1172 | else
|
---|
| 1173 | {
|
---|
| 1174 | nodeStack.push(f);
|
---|
| 1175 | nodeStack.push(b);
|
---|
| 1176 | }
|
---|
| 1177 | }
|
---|
| 1178 | }
|
---|
| 1179 | }
|
---|
| 1180 |
|
---|
| 1181 |
|
---|
[3072] | 1182 | // this function must be called once after hierarchy creation
|
---|
| 1183 | void Bvh::PostProcess()
|
---|
| 1184 | {
|
---|
| 1185 | CreateRoot();
|
---|
| 1186 |
|
---|
| 1187 | ComputeMaxDepthForVirtualLeaves();
|
---|
| 1188 | // set virtual leaves for specified number of triangles
|
---|
| 1189 | SetVirtualLeaves(INITIAL_TRIANGLES_PER_VIRTUAL_LEAVES);
|
---|
| 1190 | /// for each node compute the number of leaves under this node
|
---|
| 1191 | UpdateNumLeaves(mRoot);
|
---|
[3074] | 1192 | // compute new ids
|
---|
| 1193 | ComputeIds();
|
---|
[3072] | 1194 | // specify bounds for occlusion tests
|
---|
| 1195 | RecomputeBounds();
|
---|
| 1196 |
|
---|
[3074] | 1197 | mBox = mRoot->GetBox();
|
---|
| 1198 |
|
---|
[3244] | 1199 | // compute and print stats for whole (static + dynamic) bvh
|
---|
[3072] | 1200 | ComputeBvhStats(mRoot, mBvhStats);
|
---|
| 1201 |
|
---|
[3266] | 1202 | BvhStats staticBvhStats;
|
---|
[3267] | 1203 | ComputeBvhStats(mStaticRoot, staticBvhStats);
|
---|
[3266] | 1204 | cout << "\n============ Static BVH statistics =============" << endl;
|
---|
| 1205 |
|
---|
| 1206 | PrintBvhStats(staticBvhStats, mStaticRoot);
|
---|
| 1207 |
|
---|
[3244] | 1208 | // also output dynamic stats
|
---|
[3072] | 1209 | if (mDynamicGeometrySize)
|
---|
| 1210 | {
|
---|
[3266] | 1211 | BvhStats dynBvhStats;
|
---|
| 1212 | ComputeBvhStats(mDynamicRoot, dynBvhStats);
|
---|
| 1213 |
|
---|
[3072] | 1214 | cout << "\n=========== Dynamic BVH statistics: =========" << endl;
|
---|
[3266] | 1215 | PrintBvhStats(dynBvhStats, mDynamicRoot);
|
---|
[3072] | 1216 | }
|
---|
| 1217 | }
|
---|
| 1218 |
|
---|
| 1219 |
|
---|
[2763] | 1220 | void Bvh::RenderBoundingBoxImmediate(const AxisAlignedBox3 &box)
|
---|
| 1221 | {
|
---|
| 1222 | const Vector3 l = box.Min();
|
---|
| 1223 | const Vector3 u = box.Max();
|
---|
| 1224 |
|
---|
[3065] | 1225 | ///////////
|
---|
| 1226 | //-- render AABB as triangle strips
|
---|
| 1227 |
|
---|
[2764] | 1228 | glBegin(GL_TRIANGLE_STRIP);
|
---|
[2763] | 1229 |
|
---|
[3065] | 1230 | // render first half of AABB
|
---|
| 1231 | glVertex3f(l.x, l.y, u.z);
|
---|
| 1232 | glVertex3f(u.x, l.y, u.z);
|
---|
| 1233 | glVertex3f(l.x, u.y, u.z);
|
---|
| 1234 | glVertex3f(u.x, u.y, u.z);
|
---|
| 1235 | glVertex3f(l.x, u.y, l.z);
|
---|
| 1236 | glVertex3f(u.x, u.y, l.z);
|
---|
| 1237 | glVertex3f(l.x, l.y, l.z);
|
---|
| 1238 | glVertex3f(u.x, l.y, l.z);
|
---|
[2763] | 1239 |
|
---|
[3065] | 1240 | glPrimitiveRestartNV();
|
---|
[2763] | 1241 |
|
---|
[3065] | 1242 | // render second half of AABB
|
---|
| 1243 | glVertex3f(l.x, u.y, u.z);
|
---|
| 1244 | glVertex3f(l.x, u.y, l.z);
|
---|
| 1245 | glVertex3f(l.x, l.y, u.z);
|
---|
| 1246 | glVertex3f(l.x, l.y, l.z);
|
---|
| 1247 | glVertex3f(u.x, l.y, u.z);
|
---|
| 1248 | glVertex3f(u.x, l.y, l.z);
|
---|
| 1249 | glVertex3f(u.x, u.y, u.z);
|
---|
| 1250 | glVertex3f(u.x, u.y, l.z);
|
---|
| 1251 |
|
---|
[2764] | 1252 | glEnd();
|
---|
[2761] | 1253 | }
|
---|
[2763] | 1254 |
|
---|
[2790] | 1255 |
|
---|
| 1256 | static void RenderBoxForViz(const AxisAlignedBox3 &box)
|
---|
| 1257 | {
|
---|
| 1258 | glBegin(GL_LINE_LOOP);
|
---|
| 1259 | glVertex3d(box.Min().x, box.Max().y, box.Min().z);
|
---|
| 1260 | glVertex3d(box.Max().x, box.Max().y, box.Min().z);
|
---|
| 1261 | glVertex3d(box.Max().x, box.Min().y, box.Min().z);
|
---|
| 1262 | glVertex3d(box.Min().x, box.Min().y, box.Min().z);
|
---|
| 1263 | glEnd();
|
---|
| 1264 |
|
---|
| 1265 | glBegin(GL_LINE_LOOP);
|
---|
| 1266 | glVertex3d(box.Min().x, box.Min().y, box.Max().z);
|
---|
| 1267 | glVertex3d(box.Max().x, box.Min().y, box.Max().z);
|
---|
| 1268 | glVertex3d(box.Max().x, box.Max().y, box.Max().z);
|
---|
| 1269 | glVertex3d(box.Min().x, box.Max().y, box.Max().z);
|
---|
| 1270 | glEnd();
|
---|
| 1271 |
|
---|
| 1272 | glBegin(GL_LINE_LOOP);
|
---|
| 1273 | glVertex3d(box.Max().x, box.Min().y, box.Min().z);
|
---|
| 1274 | glVertex3d(box.Max().x, box.Min().y, box.Max().z);
|
---|
| 1275 | glVertex3d(box.Max().x, box.Max().y, box.Max().z);
|
---|
| 1276 | glVertex3d(box.Max().x, box.Max().y, box.Min().z);
|
---|
| 1277 | glEnd();
|
---|
| 1278 |
|
---|
| 1279 | glBegin(GL_LINE_LOOP);
|
---|
| 1280 | glVertex3d(box.Min().x, box.Min().y, box.Min().z);
|
---|
| 1281 | glVertex3d(box.Min().x, box.Min().y, box.Max().z);
|
---|
| 1282 | glVertex3d(box.Min().x, box.Max().y, box.Max().z);
|
---|
| 1283 | glVertex3d(box.Min().x, box.Max().y, box.Min().z);
|
---|
| 1284 | glEnd();
|
---|
| 1285 |
|
---|
| 1286 | glBegin(GL_LINE_LOOP);
|
---|
| 1287 | glVertex3d(box.Min().x, box.Min().y, box.Min().z);
|
---|
| 1288 | glVertex3d(box.Max().x, box.Min().y, box.Min().z);
|
---|
| 1289 | glVertex3d(box.Max().x, box.Min().y, box.Max().z);
|
---|
| 1290 | glVertex3d(box.Min().x, box.Min().y, box.Max().z);
|
---|
| 1291 | glEnd();
|
---|
| 1292 |
|
---|
| 1293 | glBegin(GL_LINE_LOOP);
|
---|
| 1294 | glVertex3d(box.Min().x, box.Max().y, box.Min().z);
|
---|
| 1295 | glVertex3d(box.Max().x, box.Max().y, box.Min().z);
|
---|
| 1296 | glVertex3d(box.Max().x, box.Max().y, box.Max().z);
|
---|
| 1297 | glVertex3d(box.Min().x, box.Max().y, box.Max().z);
|
---|
| 1298 |
|
---|
| 1299 | glEnd();
|
---|
| 1300 | }
|
---|
| 1301 |
|
---|
| 1302 |
|
---|
[3066] | 1303 | static Technique GetVizTechnique()
|
---|
| 1304 | {
|
---|
| 1305 | Technique tech;
|
---|
| 1306 | tech.Init();
|
---|
| 1307 |
|
---|
| 1308 | //tech.SetLightingEnabled(false);
|
---|
| 1309 | //tech.SetDepthWriteEnabled(false);
|
---|
| 1310 |
|
---|
| 1311 | tech.SetEmmisive(RgbaColor(1.0f, 1.0f, 1.0f, 1.0f));
|
---|
| 1312 | tech.SetDiffuse(RgbaColor(1.0f, 1.0f, 1.0f, 1.0f));
|
---|
| 1313 | tech.SetAmbient(RgbaColor(1.0f, 1.0f, 1.0f, 1.0f));
|
---|
| 1314 |
|
---|
| 1315 | return tech;
|
---|
| 1316 | }
|
---|
| 1317 |
|
---|
| 1318 |
|
---|
[3064] | 1319 | void Bvh::RenderBoundsForViz(BvhNode *node,
|
---|
| 1320 | RenderState *state,
|
---|
| 1321 | bool useTightBounds)
|
---|
[2790] | 1322 | {
|
---|
[3066] | 1323 | Technique *oldTech = state->GetState();
|
---|
| 1324 | // we set a simple material
|
---|
| 1325 | static Technique boxMat = GetVizTechnique();
|
---|
[2825] | 1326 | boxMat.Render(state);
|
---|
| 1327 |
|
---|
[2790] | 1328 | if (!useTightBounds)
|
---|
| 1329 | {
|
---|
[3245] | 1330 | #if 1
|
---|
[3066] | 1331 | RenderBoxForViz(node->GetBox());
|
---|
[3245] | 1332 | #else
|
---|
| 1333 | glPolygonMode(GL_FRONT, GL_LINE);
|
---|
[3065] | 1334 | RenderBoundingBoxImmediate(node->GetBox());
|
---|
[3245] | 1335 | glPolygonMode(GL_FRONT_AND_BACK, GL_FILL);
|
---|
| 1336 | #endif
|
---|
[2790] | 1337 | }
|
---|
| 1338 | else
|
---|
| 1339 | {
|
---|
[3203] | 1340 | for (int i = 0; i < node->mNumTestNodes; ++ i)
|
---|
[2790] | 1341 | {
|
---|
| 1342 | RenderBoxForViz(mTestNodes[node->mTestNodesIdx + i]->GetBox());
|
---|
[3203] | 1343 | }
|
---|
[2790] | 1344 | }
|
---|
[3066] | 1345 |
|
---|
| 1346 | if (oldTech) oldTech->Render(state);
|
---|
[2790] | 1347 | }
|
---|
| 1348 |
|
---|
| 1349 |
|
---|
| 1350 |
|
---|
[3053] | 1351 |
|
---|
[3266] | 1352 | bool Bvh::IntersectsNearPlane(BvhNode *node) const
|
---|
| 1353 | {
|
---|
| 1354 | // note: we have problems with large scale object penetrating the near plane
|
---|
| 1355 | // (e.g., objects in the distance which are always handled to be visible)
|
---|
| 1356 | // especially annoying is this problem when using the frustum
|
---|
| 1357 | // fitting on the visible objects for shadow mapping
|
---|
| 1358 | // but don't see how to solve this issue without using costly calculations
|
---|
| 1359 |
|
---|
| 1360 | // we stored the near plane distance => we can use it also here
|
---|
| 1361 | float distanceToNearPlane = node->GetDistance();
|
---|
| 1362 | //float distanceToNearPlane = node->GetBox().GetMinDistance(sNearPlane);
|
---|
| 1363 |
|
---|
| 1364 | return (distanceToNearPlane < sNear);
|
---|
[3053] | 1365 | }
|
---|
| 1366 |
|
---|
| 1367 |
|
---|
[3266] | 1368 | void Bvh::CreateRoot()
|
---|
[3053] | 1369 | {
|
---|
[3266] | 1370 | // create new root
|
---|
| 1371 | mRoot = new BvhInterior(NULL);
|
---|
[3053] | 1372 |
|
---|
[3266] | 1373 | // the separation is a purely logical one
|
---|
| 1374 | // the bounding boxes of the child nodes are
|
---|
| 1375 | // identical to those of the root node
|
---|
[3053] | 1376 |
|
---|
[3266] | 1377 | mRoot->mBox = mStaticRoot->mBox;
|
---|
| 1378 | mRoot->mBox.Include(mDynamicRoot->mBox);
|
---|
[3064] | 1379 |
|
---|
[3266] | 1380 | mRoot->mArea = mRoot->mBox.SurfaceArea();
|
---|
[3053] | 1381 |
|
---|
[3266] | 1382 | mRoot->mFirst = 0;
|
---|
| 1383 | mRoot->mLast = (int)mGeometrySize - 1;
|
---|
[3070] | 1384 |
|
---|
[3266] | 1385 | //cout<<"f: " << mRoot->mFirst<< " l: " <<mRoot->mLast << endl;
|
---|
| 1386 | // add static root on left subtree
|
---|
| 1387 | mRoot->mFront = mStaticRoot;
|
---|
| 1388 | mStaticRoot->mParent = mRoot;
|
---|
[3053] | 1389 |
|
---|
[3266] | 1390 | // add dynamic root on left subtree
|
---|
| 1391 | mRoot->mBack = mDynamicRoot;
|
---|
| 1392 | mDynamicRoot->mParent = mRoot;
|
---|
[3053] | 1393 | }
|
---|
[3266] | 1394 |
|
---|
[3053] | 1395 |
|
---|
| 1396 |
|
---|
| 1397 |
|
---|
[3266] | 1398 | ////////////////////////
|
---|
| 1399 | //-- dynamic hierarchy stuff
|
---|
[3053] | 1400 |
|
---|
| 1401 |
|
---|
[3267] | 1402 | void Bvh::UpdateBoundingBoxes(BvhNode *node)
|
---|
[3053] | 1403 | {
|
---|
[3070] | 1404 | if (node->IsLeaf())
|
---|
| 1405 | {
|
---|
| 1406 | int numEntities;
|
---|
| 1407 | SceneEntity **entities = GetGeometry(node, numEntities);
|
---|
| 1408 |
|
---|
[3262] | 1409 | node->mBox = SceneEntity::ComputeBoundingBox(entities, numEntities);
|
---|
[3070] | 1410 | //cout << "box: " << node->mBox << endl;
|
---|
| 1411 | }
|
---|
| 1412 | else
|
---|
| 1413 | {
|
---|
| 1414 | BvhNode *f = static_cast<BvhInterior *>(node)->GetFront();
|
---|
| 1415 | BvhNode *b = static_cast<BvhInterior *>(node)->GetBack();
|
---|
| 1416 |
|
---|
[3267] | 1417 | UpdateBoundingBoxes(f);
|
---|
| 1418 | UpdateBoundingBoxes(b);
|
---|
[3070] | 1419 |
|
---|
| 1420 | node->mBox = f->mBox;
|
---|
| 1421 | node->mBox.Include(b->mBox);
|
---|
| 1422 | }
|
---|
| 1423 | }
|
---|
| 1424 |
|
---|
| 1425 |
|
---|
| 1426 | void Bvh::CreateDynamicBranch()
|
---|
| 1427 | {
|
---|
[3069] | 1428 | // the bvh has two main branches
|
---|
[3262] | 1429 | // a static branch (the old root), and a dynamic branch
|
---|
[3069] | 1430 | // we create a 'dynamic' leaf which basically is a container
|
---|
| 1431 | // for all dynamic objects underneath
|
---|
| 1432 |
|
---|
| 1433 | // the bounding boxes of the dynamic tree must be updated
|
---|
| 1434 | // once each frame in order to be able to incorporate
|
---|
| 1435 | // the movements of the objects within
|
---|
| 1436 |
|
---|
[3269] | 1437 |
|
---|
| 1438 | cout << "\n==============================" << endl;
|
---|
[3264] | 1439 | cout << "creating dynamic bvh branch" << endl;
|
---|
| 1440 |
|
---|
[3069] | 1441 | DEL_PTR(mDynamicRoot);
|
---|
[3264] | 1442 | -- mNumNodes;
|
---|
[3053] | 1443 |
|
---|
[3264] | 1444 | BvhConstructor bvhConstructor(mGeometry, (int)mStaticGeometrySize, (int)mGeometrySize - 1);
|
---|
| 1445 |
|
---|
| 1446 | int numNodes;
|
---|
| 1447 | mDynamicRoot = bvhConstructor.Construct(numNodes);
|
---|
| 1448 |
|
---|
| 1449 | mNumNodes += numNodes;
|
---|
[3053] | 1450 | }
|
---|
| 1451 |
|
---|
[3267] | 1452 |
|
---|
| 1453 |
|
---|
| 1454 |
|
---|
[2764] | 1455 | } |
---|