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738 lines
18 KiB
738 lines
18 KiB
/*==LICENSE==* |
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CyanWorlds.com Engine - MMOG client, server and tools |
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Copyright (C) 2011 Cyan Worlds, Inc. |
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This program is free software: you can redistribute it and/or modify |
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it under the terms of the GNU General Public License as published by |
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the Free Software Foundation, either version 3 of the License, or |
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(at your option) any later version. |
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This program is distributed in the hope that it will be useful, |
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but WITHOUT ANY WARRANTY; without even the implied warranty of |
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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GNU General Public License for more details. |
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You should have received a copy of the GNU General Public License |
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along with this program. If not, see <http://www.gnu.org/licenses/>. |
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Additional permissions under GNU GPL version 3 section 7 |
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If you modify this Program, or any covered work, by linking or |
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combining it with any of RAD Game Tools Bink SDK, Autodesk 3ds Max SDK, |
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NVIDIA PhysX SDK, Microsoft DirectX SDK, OpenSSL library, Independent |
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JPEG Group JPEG library, Microsoft Windows Media SDK, or Apple QuickTime SDK |
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(or a modified version of those libraries), |
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containing parts covered by the terms of the Bink SDK EULA, 3ds Max EULA, |
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PhysX SDK EULA, DirectX SDK EULA, OpenSSL and SSLeay licenses, IJG |
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JPEG Library README, Windows Media SDK EULA, or QuickTime SDK EULA, the |
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licensors of this Program grant you additional |
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permission to convey the resulting work. Corresponding Source for a |
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non-source form of such a combination shall include the source code for |
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the parts of OpenSSL and IJG JPEG Library used as well as that of the covered |
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work. |
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You can contact Cyan Worlds, Inc. by email legal@cyan.com |
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or by snail mail at: |
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Cyan Worlds, Inc. |
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14617 N Newport Hwy |
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Mead, WA 99021 |
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*==LICENSE==*/ |
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#include "HeadSpin.h" |
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#include "plSpaceTreeMaker.h" |
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#include "plMath/hsRadixSort.h" |
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#include "plDrawable/plSpaceTree.h" |
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// for testing, get hsRand() |
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#include "hsTimer.h" |
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#include "plIntersect/plVolumeIsect.h" |
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//#define MF_DO_TIMES |
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enum mfTimeTypes |
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{ |
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kMakeTree = 0, |
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kMakeFatTree, |
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kSortList, |
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kHarvest, |
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kMakeSpaceTree, |
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kMakeTreeAll, |
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kHarvestSphere, |
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kHarvestCone, |
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kHarvestCapped, |
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kNumTimes |
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}; |
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#ifdef MF_DO_TIMES |
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double times[kNumTimes]; |
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#define StartTimer(i) { times[(i)] -= hsTimer::GetSeconds(); } |
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#define StopTimer(i) { times[(i)] += hsTimer::GetSeconds(); } |
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#define InitTimers() { for( int i = 0; i < kNumTimes; i++ )times[i] = 0; } |
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#else // MF_DO_TIMES |
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#define StartTimer(i) |
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#define StopTimer(i) |
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#define InitTimers() |
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#endif // MF_DO_TIMES |
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// Create the tree |
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// more temp testing garbage |
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#if 0 |
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plSpaceCullResult mySpaceCullFunction(const hsBounds3Ext& bnd) |
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{ |
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const hsPoint3& maxs = bnd.GetMaxs(); |
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const hsPoint3& mins = bnd.GetMins(); |
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if( maxs.fX < 0.25f ) |
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return kSpaceCulled; |
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if( maxs.fY < 0.25f ) |
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return kSpaceCulled; |
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if( maxs.fZ < 0.25f ) |
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return kSpaceCulled; |
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if( mins.fX > 0.75f ) |
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return kSpaceCulled; |
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if( mins.fY > 0.75f ) |
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return kSpaceCulled; |
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if( mins.fZ > 0.75f ) |
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return kSpaceCulled; |
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if( maxs.fX > 0.75f ) |
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return kSpaceSplit; |
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if( maxs.fY > 0.75f ) |
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return kSpaceSplit; |
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if( maxs.fZ > 0.75f ) |
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return kSpaceSplit; |
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if( mins.fX < 0.25f ) |
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return kSpaceSplit; |
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if( mins.fY < 0.25f ) |
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return kSpaceSplit; |
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if( mins.fZ < 0.25f ) |
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return kSpaceSplit; |
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return kSpaceClear; |
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} |
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#endif |
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void plSpaceTreeMaker::ISortList(hsTArray<plSpacePrepNode*>& nodes, const hsVector3& axis) |
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{ |
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StartTimer(kSortList); |
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hsRadixSort::Elem* list = fSortScratch; |
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hsRadixSort::Elem* listTrav = list; |
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int32_t n = nodes.GetCount(); |
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while( n-- ) |
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{ |
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listTrav->fKey.fFloat = axis.InnerProduct(nodes[n]->fWorldBounds.GetCenter()); |
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listTrav->fBody = (void*)nodes[n]; |
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listTrav->fNext = listTrav+1; |
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listTrav++; |
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} |
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list[nodes.GetCount()-1].fNext = nil; |
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uint32_t sortFlags = 0; |
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hsRadixSort rad; |
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hsRadixSort::Elem* sortedList = rad.Sort(list, sortFlags); |
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listTrav = sortedList; |
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int i; |
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for( i = 0; i < nodes.GetCount(); i++ ) |
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{ |
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nodes[i] = (plSpacePrepNode*)(listTrav->fBody); |
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listTrav = listTrav->fNext; |
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} |
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StopTimer(kSortList); |
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return; |
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} |
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void plSpaceTreeMaker::ISplitList(hsTArray<plSpacePrepNode*>& nodes, const hsVector3& axis, hsTArray<plSpacePrepNode*>& lower, hsTArray<plSpacePrepNode*>& upper) |
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{ |
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ISortList(nodes, axis); |
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int lowerCount = nodes.GetCount() / 2; |
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int upperCount = nodes.GetCount() - lowerCount; |
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lower.SetCount(lowerCount); |
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upper.SetCount(upperCount); |
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int i; |
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for( i = 0; i < lowerCount; i++ ) |
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lower[i] = nodes[i]; |
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for( i = 0; i < upperCount; i++ ) |
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upper[i] = nodes[i + lowerCount]; |
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} |
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hsBounds3Ext plSpaceTreeMaker::IFindDistToCenterAxis(hsTArray<plSpacePrepNode*>& nodes, float& length, hsVector3& axis) |
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{ |
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hsBounds3Ext bnd; |
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bnd.MakeEmpty(); |
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hsAssert(nodes.GetCount() > 1, "Degenerate case"); |
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int i; |
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for( i = 0; i < nodes.GetCount(); i++ ) |
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{ |
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bnd.Union(&nodes[i]->fWorldBounds); |
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} |
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length = 0; |
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for( i = 0; i < nodes.GetCount(); i++ ) |
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{ |
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hsVector3 sep; |
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sep.Set(&bnd.GetCenter(), &nodes[i]->fWorldBounds.GetCenter()); |
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float len = sep.MagnitudeSquared(); |
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if( len > length ) |
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{ |
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axis = sep; |
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length = len; |
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} |
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} |
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length = sqrt(length); |
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if( length > 1.e-3f ) |
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axis /= length; |
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else |
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return IFindSplitAxis(nodes, length, axis); |
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return bnd; |
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} |
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plSpacePrepNode* plSpaceTreeMaker::IMakeFatTreeRecur(hsTArray<plSpacePrepNode*>& nodes) |
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{ |
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if( !nodes.GetCount() ) |
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return nil; |
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StartTimer(kMakeFatTree); |
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plSpacePrepNode* subRoot = new plSpacePrepNode; |
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fTreeSize++; |
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if( nodes.GetCount() == 1 ) |
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{ |
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*subRoot = *nodes[0]; |
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subRoot->fChildren[0] = nil; |
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subRoot->fChildren[1] = nil; |
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StopTimer(kMakeFatTree); |
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return subRoot; |
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} |
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// Find the overall bounds of the list. |
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// Find the maximum length vector from nodes[i] center to list center. |
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// If that length is zero, just use the maximum dimension of overall bounds. |
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float length; |
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hsVector3 axis; |
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hsBounds3Ext bnd = IFindDistToCenterAxis(nodes, length, axis); |
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hsTArray<plSpacePrepNode*> list0; |
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hsTArray<plSpacePrepNode*> list1; |
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ISplitList(nodes, axis, list0, list1); |
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subRoot->fChildren[0] = IMakeTreeRecur(list0); |
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subRoot->fChildren[1] = IMakeTreeRecur(list1); |
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subRoot->fWorldBounds = bnd; |
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StopTimer(kMakeFatTree); |
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return subRoot; |
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} |
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hsBounds3Ext plSpaceTreeMaker::IFindSplitAxis(hsTArray<plSpacePrepNode*>& nodes, float& length, hsVector3& axis) |
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{ |
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hsBounds3Ext bnd; |
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bnd.MakeEmpty(); |
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int i; |
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for( i = 0; i < nodes.GetCount(); i++ ) |
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{ |
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bnd.Union(&nodes[i]->fWorldBounds); |
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} |
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float maxLen = bnd.GetMaxs()[0] - bnd.GetMins()[0]; |
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int maxAxis = 0; |
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if( bnd.GetMaxs()[1] - bnd.GetMins()[1] > maxLen ) |
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{ |
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maxLen = bnd.GetMaxs()[1] - bnd.GetMins()[1]; |
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maxAxis = 1; |
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} |
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if( bnd.GetMaxs()[2] - bnd.GetMins()[2] > maxLen ) |
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{ |
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maxLen = bnd.GetMaxs()[2] - bnd.GetMins()[2]; |
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maxAxis = 2; |
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} |
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length = maxLen; |
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switch( maxAxis ) |
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{ |
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case 0: |
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axis.Set(1.f, 0, 0); |
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break; |
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case 1: |
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axis.Set(0, 1.f, 0); |
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break; |
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case 2: |
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axis.Set(0, 0, 1.f); |
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break; |
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} |
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return bnd; |
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} |
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void plSpaceTreeMaker::IFindBigList(hsTArray<plSpacePrepNode*>& nodes, float length, const hsVector3& axis, hsTArray<plSpacePrepNode*>& giants, hsTArray<plSpacePrepNode*>& strimps) |
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{ |
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const float kCutoffFrac = 0.5f; |
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giants.SetCount(0); |
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strimps.SetCount(0); |
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int i; |
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for( i = 0; i < nodes.GetCount(); i++ ) |
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{ |
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hsPoint2 depth; |
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nodes[i]->fWorldBounds.TestPlane(axis, depth); |
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if( depth.fY - depth.fX > length * kCutoffFrac ) |
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giants.Append(nodes[i]); |
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else |
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strimps.Append(nodes[i]); |
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} |
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} |
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plSpacePrepNode* plSpaceTreeMaker::INewSubRoot(const hsBounds3Ext& bnd) |
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{ |
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plSpacePrepNode* subRoot = new plSpacePrepNode; |
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subRoot->fDataIndex = int16_t(-1); |
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fTreeSize++; |
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subRoot->fWorldBounds = bnd; |
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return subRoot; |
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} |
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plSpacePrepNode* plSpaceTreeMaker::IMakeTreeRecur(hsTArray<plSpacePrepNode*>& nodes) |
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{ |
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if( !nodes.GetCount() ) |
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return nil; |
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if( nodes.GetCount() == 1 ) |
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{ |
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return IMakeFatTreeRecur(nodes); |
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} |
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StartTimer(kMakeTree); |
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// Find the maximum bounds dimension |
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float length; |
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hsVector3 axis; |
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hsBounds3Ext bnd = IFindSplitAxis(nodes, length, axis); |
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// Find everyone with bounds over half that size in the same dimension as list0. |
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hsTArray<plSpacePrepNode*> list0; |
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hsTArray<plSpacePrepNode*> list1; |
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IFindBigList(nodes, length, axis, list0, list1); |
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plSpacePrepNode* subRoot = nil; |
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// If list0 not empty, put them in first child, recur on remainder, |
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if( list0.GetCount() && list1.GetCount() ) |
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{ |
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subRoot = INewSubRoot(bnd); |
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subRoot->fChildren[0] = IMakeFatTreeRecur(list0); // too big |
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subRoot->fChildren[1] = IMakeTreeRecur(list1); // remainder |
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} |
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else if( list0.GetCount() ) |
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{ |
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subRoot = IMakeFatTreeRecur(list0); |
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} |
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// Else sort along axis by bounds center, recur separately on lower and upper halves. |
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else |
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{ |
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ISplitList(nodes, axis, list0, list1); |
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subRoot = INewSubRoot(bnd); |
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subRoot->fChildren[0] = IMakeTreeRecur(list0); |
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subRoot->fChildren[1] = IMakeTreeRecur(list1); |
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} |
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StopTimer(kMakeTree); |
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return subRoot; |
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} |
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void plSpaceTreeMaker::IMakeTree() |
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{ |
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fSortScratch = new hsRadixSort::Elem[fLeaves.GetCount()]; |
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fPrepTree = IMakeTreeRecur(fLeaves); |
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delete [] fSortScratch; |
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fSortScratch = nil; |
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} |
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void plSpaceTreeMaker::Reset() |
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{ |
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fLeaves.Reset(); |
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fPrepTree = nil; |
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fTreeSize = 0; |
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fSortScratch = nil; |
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} |
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void plSpaceTreeMaker::IDeleteTreeRecur(plSpacePrepNode* node) |
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{ |
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if( node ) |
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{ |
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IDeleteTreeRecur(node->fChildren[0]); |
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IDeleteTreeRecur(node->fChildren[1]); |
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delete node; |
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} |
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} |
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void plSpaceTreeMaker::Cleanup() |
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{ |
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IDeleteTreeRecur(fPrepTree); |
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fPrepTree = nil; |
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int i; |
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for( i = 0; i < fLeaves.GetCount(); i++ ) |
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delete fLeaves[i]; |
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fLeaves.Reset(); |
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fDisabled.Reset(); |
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} |
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int32_t plSpaceTreeMaker::AddLeaf(const hsBounds3Ext& worldBnd, hsBool disable) |
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{ |
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plSpacePrepNode* leaf = new plSpacePrepNode; |
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fLeaves.Append(leaf); |
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leaf->fDataIndex = fLeaves.GetCount()-1; |
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leaf->fChildren[0] = nil; |
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leaf->fChildren[1] = nil; |
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leaf->fWorldBounds = worldBnd; |
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if( leaf->fWorldBounds.GetType() != kBoundsNormal ) |
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{ |
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static const hsPoint3 zero(0.f, 0.f, 0.f); |
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leaf->fWorldBounds.Reset(&zero); |
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} |
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fDisabled.SetBit(leaf->fDataIndex, disable); |
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return leaf->fDataIndex; |
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} |
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//#define MF_DO_RAND |
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#define MF_DO_3D |
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#ifdef MF_DO_RAND |
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#define MF_SETPOINT(pt,a,b,c) pt.Set(hsRand()/32767.f, hsRand()/32767.f, hsRand()/32767.f) |
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#else // MF_DO_RAND |
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#define MF_SETPOINT(pt,a,b,c) pt.Set(a,b,c) |
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#endif // MF_DO_RAND |
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void plSpaceTreeMaker::TestTree() |
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{ |
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Reset(); |
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const int kTestSize = 10; |
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int i; |
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for( i = 0; i < kTestSize; i++ ) |
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{ |
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int j; |
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for( j = 0; j < kTestSize; j++ ) |
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{ |
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int k; |
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#ifdef MF_DO_3D |
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for( k = 0; k < kTestSize; k++ ) |
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#else // MF_DO_3D |
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k = 0; |
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#endif // MF_DO_3D |
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{ |
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hsBounds3Ext bnd; |
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hsPoint3 pt; |
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MF_SETPOINT(pt, float(i-1)/kTestSize, float(j-1)/kTestSize, float(k-1)/kTestSize); |
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bnd.Reset(&pt); |
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MF_SETPOINT(pt, float(i)/kTestSize, float(j)/kTestSize, float(k)/kTestSize); |
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bnd.Union(&pt); |
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AddLeaf(bnd); |
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} |
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} |
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} |
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hsBitVector list; |
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plSpaceTree* tree = MakeTree(); |
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#if 0 // HACK TESTING MOVE TO VOLUMECULL |
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hsMatrix44 liX; |
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hsMatrix44 invLiX; |
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liX.MakeTranslateMat(&hsVector3(0.5f, 0.5f, 0)); |
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liX.GetInverse(&invLiX); |
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plSphereIsect sphere; |
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sphere.SetRadius(0.2); |
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sphere.SetTransform(liX, invLiX); |
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tree->SetViewPos(*hsPoint3().Set(0,0,0)); |
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plConeIsect cone; |
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cone.SetAngle(M_PI*0.25f); |
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cone.SetTransform(liX, invLiX); |
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StartTimer(kHarvestCone); |
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list.Clear(); |
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tree->HarvestLeaves(&cone, list); |
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StopTimer(kHarvestCone); |
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plConeIsect capped; |
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capped.SetAngle(M_PI*0.25f); |
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capped.SetLength(0.5f); |
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capped.SetTransform(liX, invLiX); |
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StartTimer(kHarvestCapped); |
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list.Clear(); |
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tree->HarvestLeaves(&capped, list); |
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StopTimer(kHarvestCapped); |
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StartTimer(kHarvestSphere); |
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list.Clear(); |
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tree->HarvestLeaves(&sphere, list); |
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StopTimer(kHarvestSphere); |
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#endif // HACK TESTING MOVE TO VOLUMECULL |
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delete tree; |
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} |
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plSpaceTree* plSpaceTreeMaker::MakeTree() |
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{ |
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// DEBUG FISH |
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InitTimers(); |
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// DEBUG FISH |
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StartTimer(kMakeTreeAll); |
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if( !fLeaves.GetCount() ) |
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return IMakeEmptyTree(); |
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if( fLeaves.GetCount() < 2 ) |
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return IMakeDegenerateTree(); |
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IMakeTree(); |
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plSpaceTree* retVal = IMakeSpaceTree(); |
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Cleanup(); |
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StopTimer(kMakeTreeAll); |
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return retVal; |
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} |
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plSpaceTree* plSpaceTreeMaker::IMakeEmptyTree() |
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{ |
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plSpaceTree* tree = new plSpaceTree; |
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tree->fTree.SetCount(1); |
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hsPoint3 zero(0, 0, 0); |
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tree->fTree[0].fWorldBounds.Reset(&zero); |
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tree->fTree[0].fFlags = plSpaceTreeNode::kEmpty; |
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tree->fRoot = 0; |
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tree->fNumLeaves = 0; |
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Cleanup(); |
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return tree; |
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} |
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plSpaceTree* plSpaceTreeMaker::IMakeDegenerateTree() |
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{ |
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plSpaceTree* tree = new plSpaceTree; |
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tree->fTree.Push(); |
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tree->fRoot = 0; |
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tree->fTree[0].fWorldBounds = fLeaves[0]->fWorldBounds; |
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tree->fTree[0].fFlags = plSpaceTreeNode::kIsLeaf; |
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tree->fTree[0].fLeafIndex = 0; |
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tree->fTree[0].fParent = plSpaceTree::kRootParent; |
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tree->fNumLeaves = 1; |
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if( fDisabled.IsBitSet(0) ) |
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tree->SetLeafFlag(0, plSpaceTreeNode::kDisabled, true); |
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Cleanup(); |
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return tree; |
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} |
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int plSpaceTreeMaker::ITreeDepth(plSpacePrepNode* subRoot) |
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{ |
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if( !subRoot ) |
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return 0; |
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|
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int dep0 = ITreeDepth(subRoot->fChildren[0]); |
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int dep1 = ITreeDepth(subRoot->fChildren[1]); |
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int dep = hsMaximum(dep0, dep1); |
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return dep+1; |
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} |
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plSpaceTree* plSpaceTreeMaker::IMakeSpaceTree() |
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{ |
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StartTimer(kMakeSpaceTree); |
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plSpaceTree* tree = new plSpaceTree; |
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|
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plSpacePrepNode* head = fPrepTree; |
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|
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tree->fTree.SetCount(fLeaves.GetCount()); |
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|
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IGatherLeavesRecur(head, tree); |
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int level = ITreeDepth(head); |
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while( level > 0 ) |
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IMakeSpaceTreeRecur(head, tree, --level, 0); |
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tree->fRoot = tree->fTree.GetCount()-1; |
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tree->fTree[tree->fRoot].fParent = plSpaceTree::kRootParent; |
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tree->fNumLeaves = fLeaves.GetCount(); |
|
|
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int i; |
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for( i = 0; i < fLeaves.GetCount(); i++ ) |
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{ |
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if( fDisabled.IsBitSet(i) ) |
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tree->SetLeafFlag(i, plSpaceTreeNode::kDisabled, true); |
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} |
|
|
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StopTimer(kMakeSpaceTree); |
|
|
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return tree; |
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} |
|
|
|
// The following goofy cache-friendly tree set up slows down the tree build by 10%, but speeds up the runtime by 9%. |
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// Sounds fair. |
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#if 0 // Leaves first |
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int16_t plSpaceTreeMaker::IMakeSpaceTreeRecur(plSpacePrepNode* sub, plSpaceTree* tree, const int targetLevel, int currLevel) |
|
{ |
|
if( currLevel == targetLevel ) |
|
{ |
|
int16_t nodeIdx = tree->fTree.GetCount(); |
|
tree->fTree.Push(); |
|
|
|
tree->fTree[nodeIdx].fWorldBounds = sub->fWorldBounds; |
|
|
|
sub->fIndex = nodeIdx; |
|
|
|
if( !sub->fChildren[0] ) |
|
{ |
|
hsAssert(!sub->fChildren[1], "Unsupported unbalance of tree"); |
|
|
|
tree->fTree[nodeIdx].fFlags = plSpaceTreeNode::kIsLeaf; |
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tree->fTree[nodeIdx].fLeafIndex = sub->fDataIndex; |
|
|
|
return nodeIdx; |
|
} |
|
hsAssert(sub->fChildren[1], "Unsupported unbalance of tree"); |
|
|
|
tree->fTree[nodeIdx].fFlags = plSpaceTreeNode::kNone; |
|
|
|
|
|
return nodeIdx; |
|
} |
|
|
|
int16_t nodeIdx = sub->fIndex; |
|
|
|
if( !sub->fChildren[0] ) |
|
{ |
|
hsAssert(!sub->fChildren[1] , "Unsupported unbalance of tree"); |
|
return nodeIdx; |
|
} |
|
hsAssert(sub->fChildren[1] , "Unsupported unbalance of tree"); |
|
|
|
tree->fTree[nodeIdx].fChildren[0] = IMakeSpaceTreeRecur(sub->fChildren[0], tree, targetLevel, currLevel+1); |
|
tree->fTree[tree->fTree[nodeIdx].fChildren[0]].fParent = nodeIdx; |
|
|
|
tree->fTree[nodeIdx].fChildren[1] = IMakeSpaceTreeRecur(sub->fChildren[1], tree, targetLevel, currLevel+1); |
|
tree->fTree[tree->fTree[nodeIdx].fChildren[1]].fParent = nodeIdx; |
|
|
|
return nodeIdx; |
|
} |
|
|
|
#else // Leaves first |
|
void plSpaceTreeMaker::IGatherLeavesRecur(plSpacePrepNode* sub, plSpaceTree* tree) |
|
{ |
|
// if it's a leaf, stuff it in the right slot, else recur |
|
if( !sub->fChildren[0] ) |
|
{ |
|
hsAssert(!sub->fChildren[1], "Unsupported unbalance of tree"); |
|
|
|
plSpaceTreeNode& leaf = tree->fTree[sub->fDataIndex]; |
|
int16_t nodeIdx = sub->fDataIndex; |
|
leaf.fWorldBounds = sub->fWorldBounds; |
|
sub->fIndex = nodeIdx; |
|
leaf.fFlags = plSpaceTreeNode::kIsLeaf; |
|
leaf.fLeafIndex = nodeIdx; |
|
|
|
return; |
|
} |
|
hsAssert(sub->fChildren[1], "Unsupported unbalance of tree"); |
|
|
|
IGatherLeavesRecur(sub->fChildren[0], tree); |
|
IGatherLeavesRecur(sub->fChildren[1], tree); |
|
} |
|
|
|
void plSpaceTreeMaker::IMakeSpaceTreeRecur(plSpacePrepNode* sub, plSpaceTree* tree, const int targetLevel, int currLevel) |
|
{ |
|
// If it's a leaf, we've already done it. |
|
if( !sub->fChildren[0] ) |
|
{ |
|
hsAssert(!sub->fChildren[1], "Unsupported unbalance of tree"); |
|
return; |
|
} |
|
|
|
hsAssert(sub->fChildren[0] && sub->fChildren[1], "Shouldn't get this deep, already got the leaves"); |
|
|
|
if( currLevel == targetLevel ) |
|
{ |
|
int16_t nodeIdx = tree->fTree.GetCount(); |
|
tree->fTree.Push(); |
|
|
|
tree->fTree[nodeIdx].fWorldBounds = sub->fWorldBounds; |
|
|
|
sub->fIndex = nodeIdx; |
|
|
|
tree->fTree[nodeIdx].fFlags = plSpaceTreeNode::kNone; |
|
|
|
tree->fTree[nodeIdx].fChildren[0] = sub->fChildren[0]->fIndex; |
|
tree->fTree[sub->fChildren[0]->fIndex].fParent = nodeIdx; |
|
|
|
tree->fTree[nodeIdx].fChildren[1] = sub->fChildren[1]->fIndex; |
|
tree->fTree[sub->fChildren[1]->fIndex].fParent = nodeIdx; |
|
|
|
return; |
|
} |
|
|
|
IMakeSpaceTreeRecur(sub->fChildren[0], tree, targetLevel, currLevel+1); |
|
IMakeSpaceTreeRecur(sub->fChildren[1], tree, targetLevel, currLevel+1); |
|
} |
|
|
|
#endif // Leaves first
|
|
|