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+/*************************************************************************
+ * *
+ * Open Dynamics Engine, Copyright (C) 2001-2003 Russell L. Smith. *
+ * All rights reserved. Email: russ@q12.org Web: www.q12.org *
+ * *
+ * This library is free software; you can redistribute it and/or *
+ * modify it under the terms of EITHER: *
+ * (1) The GNU Lesser General Public License as published by the Free *
+ * Software Foundation; either version 2.1 of the License, or (at *
+ * your option) any later version. The text of the GNU Lesser *
+ * General Public License is included with this library in the *
+ * file LICENSE.TXT. *
+ * (2) The BSD-style license that is included with this library in *
+ * the file LICENSE-BSD.TXT. *
+ * *
+ * This library is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the files *
+ * LICENSE.TXT and LICENSE-BSD.TXT for more details. *
+ * *
+ *************************************************************************/
+
+/*
+ * Sweep and Prune adaptation/tweaks for ODE by Aras Pranckevicius.
+ * Additional work by David Walters
+ * Original code:
+ * OPCODE - Optimized Collision Detection
+ * Copyright (C) 2001 Pierre Terdiman
+ * Homepage: http://www.codercorner.com/Opcode.htm
+ *
+ * This version does complete radix sort, not "classical" SAP. So, we
+ * have no temporal coherence, but are able to handle any movement
+ * velocities equally well.
+ */
+
+#include <ode/common.h>
+#include <ode/collision_space.h>
+#include <ode/collision.h>
+
+#include "config.h"
+#include "matrix.h"
+#include "collision_kernel.h"
+#include "collision_space_internal.h"
+
+// Reference counting helper for radix sort global data.
+//static void RadixSortRef();
+//static void RadixSortDeref();
+
+
+// --------------------------------------------------------------------------
+// Radix Sort Context
+// --------------------------------------------------------------------------
+
+struct RaixSortContext
+{
+public:
+ RaixSortContext(): mCurrentSize(0), mCurrentUtilization(0), mRanksValid(false), mRanksBuffer(NULL), mPrimaryRanks(NULL) {}
+ ~RaixSortContext() { FreeRanks(); }
+
+ // OPCODE's Radix Sorting, returns a list of indices in sorted order
+ const uint32* RadixSort( const float* input2, uint32 nb );
+
+private:
+ void FreeRanks();
+ void AllocateRanks(sizeint nNewSize);
+
+ void ReallocateRanksIfNecessary(sizeint nNewSize);
+
+private:
+ void SetCurrentSize(sizeint nValue) { mCurrentSize = nValue; }
+ sizeint GetCurrentSize() const { return mCurrentSize; }
+
+ void SetCurrentUtilization(sizeint nValue) { mCurrentUtilization = nValue; }
+ sizeint GetCurrentUtilization() const { return mCurrentUtilization; }
+
+ uint32 *GetRanks1() const { return mPrimaryRanks; }
+ uint32 *GetRanks2() const { return mRanksBuffer + ((mRanksBuffer + mCurrentSize) - mPrimaryRanks); }
+ void SwapRanks() { mPrimaryRanks = GetRanks2(); }
+
+ bool AreRanksValid() const { return mRanksValid; }
+ void InvalidateRanks() { mRanksValid = false; }
+ void ValidateRanks() { mRanksValid = true; }
+
+private:
+ sizeint mCurrentSize; //!< Current size of the indices list
+ sizeint mCurrentUtilization; //!< Current utilization of the indices list
+ bool mRanksValid;
+ uint32* mRanksBuffer; //!< Two lists allocated sequentially in a single block
+ uint32* mPrimaryRanks;
+};
+
+void RaixSortContext::AllocateRanks(sizeint nNewSize)
+{
+ dIASSERT(GetCurrentSize() == 0);
+
+ mRanksBuffer = new uint32[2 * nNewSize];
+ mPrimaryRanks = mRanksBuffer;
+
+ SetCurrentSize(nNewSize);
+}
+
+void RaixSortContext::FreeRanks()
+{
+ SetCurrentSize(0);
+
+ delete[] mRanksBuffer;
+}
+
+void RaixSortContext::ReallocateRanksIfNecessary(sizeint nNewSize)
+{
+ sizeint nCurUtilization = GetCurrentUtilization();
+
+ if (nNewSize != nCurUtilization)
+ {
+ sizeint nCurSize = GetCurrentSize();
+
+ if ( nNewSize > nCurSize )
+ {
+ // Free previously used ram
+ FreeRanks();
+
+ // Get some fresh one
+ AllocateRanks(nNewSize);
+ }
+
+ InvalidateRanks();
+ SetCurrentUtilization(nNewSize);
+ }
+}
+
+// --------------------------------------------------------------------------
+// SAP space code
+// --------------------------------------------------------------------------
+
+struct dxSAPSpace : public dxSpace
+{
+ // Constructor / Destructor
+ dxSAPSpace( dSpaceID _space, int sortaxis );
+ ~dxSAPSpace();
+
+ // dxSpace
+ virtual dxGeom* getGeom(int i);
+ virtual void add(dxGeom* g);
+ virtual void remove(dxGeom* g);
+ virtual void dirty(dxGeom* g);
+ virtual void computeAABB();
+ virtual void cleanGeoms();
+ virtual void collide( void *data, dNearCallback *callback );
+ virtual void collide2( void *data, dxGeom *geom, dNearCallback *callback );
+
+private:
+
+ //--------------------------------------------------------------------------
+ // Local Declarations
+ //--------------------------------------------------------------------------
+
+ //! A generic couple structure
+ struct Pair
+ {
+ uint32 id0; //!< First index of the pair
+ uint32 id1; //!< Second index of the pair
+
+ // Default and Value Constructor
+ Pair() {}
+ Pair( uint32 i0, uint32 i1 ) : id0( i0 ), id1( i1 ) {}
+ };
+
+ //--------------------------------------------------------------------------
+ // Helpers
+ //--------------------------------------------------------------------------
+
+ /**
+ * Complete box pruning.
+ * Returns a list of overlapping pairs of boxes, each box of the pair
+ * belongs to the same set.
+ *
+ * @param count [in] number of boxes.
+ * @param geoms [in] geoms of boxes.
+ * @param pairs [out] array of overlapping pairs.
+ */
+ void BoxPruning( int count, const dxGeom** geoms, dArray< Pair >& pairs );
+
+
+ //--------------------------------------------------------------------------
+ // Implementation Data
+ //--------------------------------------------------------------------------
+
+ // We have two lists (arrays of pointers) to dirty and clean
+ // geoms. Each geom knows it's index into the corresponding list
+ // (see macros above).
+ dArray<dxGeom*> DirtyList; // dirty geoms
+ dArray<dxGeom*> GeomList; // clean geoms
+
+ // For SAP, we ultimately separate "normal" geoms and the ones that have
+ // infinite AABBs. No point doing SAP on infinite ones (and it doesn't handle
+ // infinite geoms anyway).
+ dArray<dxGeom*> TmpGeomList; // temporary for normal geoms
+ dArray<dxGeom*> TmpInfGeomList; // temporary for geoms with infinite AABBs
+
+ // Our sorting axes. (X,Z,Y is often best). Stored *2 for minor speedup
+ // Axis indices into geom's aabb are: min=idx, max=idx+1
+ uint32 ax0idx;
+ uint32 ax1idx;
+ uint32 ax2idx;
+
+ // pruning position array scratch pad
+ // NOTE: this is float not dReal because of the OPCODE radix sorter
+ dArray< float > poslist;
+ RaixSortContext sortContext;
+};
+
+// Creation
+dSpaceID dSweepAndPruneSpaceCreate( dxSpace* space, int axisorder ) {
+ return new dxSAPSpace( space, axisorder );
+}
+
+
+//==============================================================================
+
+#define GEOM_ENABLED(g) (((g)->gflags & GEOM_ENABLE_TEST_MASK) == GEOM_ENABLE_TEST_VALUE)
+
+// HACK: We abuse 'next' and 'tome' members of dxGeom to store indices into dirty/geom lists.
+#define GEOM_SET_DIRTY_IDX(g,idx) { (g)->next_ex = (dxGeom*)(sizeint)(idx); }
+#define GEOM_SET_GEOM_IDX(g,idx) { (g)->tome_ex = (dxGeom**)(sizeint)(idx); }
+#define GEOM_GET_DIRTY_IDX(g) ((int)(sizeint)(g)->next_ex)
+#define GEOM_GET_GEOM_IDX(g) ((int)(sizeint)(g)->tome_ex)
+#define GEOM_INVALID_IDX (-1)
+
+
+/*
+* A bit of repetitive work - similar to collideAABBs, but doesn't check
+* if AABBs intersect (because SAP returns pairs with overlapping AABBs).
+*/
+static void collideGeomsNoAABBs( dxGeom *g1, dxGeom *g2, void *data, dNearCallback *callback )
+{
+ dIASSERT( (g1->gflags & GEOM_AABB_BAD)==0 );
+ dIASSERT( (g2->gflags & GEOM_AABB_BAD)==0 );
+
+ // no contacts if both geoms on the same body, and the body is not 0
+ if (g1->body == g2->body && g1->body) return;
+
+ // test if the category and collide bitfields match
+ if ( ((g1->category_bits & g2->collide_bits) ||
+ (g2->category_bits & g1->collide_bits)) == 0) {
+ return;
+ }
+
+ dReal *bounds1 = g1->aabb;
+ dReal *bounds2 = g2->aabb;
+
+ // check if either object is able to prove that it doesn't intersect the
+ // AABB of the other
+ if (g1->AABBTest (g2,bounds2) == 0) return;
+ if (g2->AABBTest (g1,bounds1) == 0) return;
+
+ // the objects might actually intersect - call the space callback function
+ callback (data,g1,g2);
+}
+
+
+dxSAPSpace::dxSAPSpace( dSpaceID _space, int axisorder ) : dxSpace( _space )
+{
+ type = dSweepAndPruneSpaceClass;
+
+ // Init AABB to infinity
+ aabb[0] = -dInfinity;
+ aabb[1] = dInfinity;
+ aabb[2] = -dInfinity;
+ aabb[3] = dInfinity;
+ aabb[4] = -dInfinity;
+ aabb[5] = dInfinity;
+
+ ax0idx = ( ( axisorder ) & 3 ) << 1;
+ ax1idx = ( ( axisorder >> 2 ) & 3 ) << 1;
+ ax2idx = ( ( axisorder >> 4 ) & 3 ) << 1;
+}
+
+dxSAPSpace::~dxSAPSpace()
+{
+ CHECK_NOT_LOCKED(this);
+ if ( cleanup ) {
+ // note that destroying each geom will call remove()
+ for ( ; DirtyList.size(); dGeomDestroy( DirtyList[ 0 ] ) ) {}
+ for ( ; GeomList.size(); dGeomDestroy( GeomList[ 0 ] ) ) {}
+ }
+ else {
+ // just unhook them
+ for ( ; DirtyList.size(); remove( DirtyList[ 0 ] ) ) {}
+ for ( ; GeomList.size(); remove( GeomList[ 0 ] ) ) {}
+ }
+}
+
+dxGeom* dxSAPSpace::getGeom( int i )
+{
+ dUASSERT( i >= 0 && i < count, "index out of range" );
+ int dirtySize = DirtyList.size();
+ if( i < dirtySize )
+ return DirtyList[i];
+ else
+ return GeomList[i-dirtySize];
+}
+
+void dxSAPSpace::add( dxGeom* g )
+{
+ CHECK_NOT_LOCKED (this);
+ dAASSERT(g);
+ dUASSERT(g->tome_ex == 0 && g->next_ex == 0, "geom is already in a space");
+
+
+ // add to dirty list
+ GEOM_SET_DIRTY_IDX( g, DirtyList.size() );
+ GEOM_SET_GEOM_IDX( g, GEOM_INVALID_IDX );
+ DirtyList.push( g );
+
+ dxSpace::add(g);
+}
+
+void dxSAPSpace::remove( dxGeom* g )
+{
+ CHECK_NOT_LOCKED(this);
+ dAASSERT(g);
+ dUASSERT(g->parent_space == this,"object is not in this space");
+
+ // remove
+ int dirtyIdx = GEOM_GET_DIRTY_IDX(g);
+ int geomIdx = GEOM_GET_GEOM_IDX(g);
+ // must be in one list, not in both
+ dUASSERT(
+ (dirtyIdx==GEOM_INVALID_IDX && geomIdx>=0 && geomIdx<GeomList.size()) ||
+ (geomIdx==GEOM_INVALID_IDX && dirtyIdx>=0 && dirtyIdx<DirtyList.size()),
+ "geom indices messed up" );
+ if( dirtyIdx != GEOM_INVALID_IDX ) {
+ // we're in dirty list, remove
+ int dirtySize = DirtyList.size();
+ if (dirtyIdx != dirtySize-1) {
+ dxGeom* lastG = DirtyList[dirtySize-1];
+ DirtyList[dirtyIdx] = lastG;
+ GEOM_SET_DIRTY_IDX(lastG,dirtyIdx);
+ }
+ GEOM_SET_DIRTY_IDX(g,GEOM_INVALID_IDX);
+ DirtyList.setSize( dirtySize-1 );
+ } else {
+ // we're in geom list, remove
+ int geomSize = GeomList.size();
+ if (geomIdx != geomSize-1) {
+ dxGeom* lastG = GeomList[geomSize-1];
+ GeomList[geomIdx] = lastG;
+ GEOM_SET_GEOM_IDX(lastG,geomIdx);
+ }
+ GEOM_SET_GEOM_IDX(g,GEOM_INVALID_IDX);
+ GeomList.setSize( geomSize-1 );
+ }
+
+ dxSpace::remove(g);
+}
+
+void dxSAPSpace::dirty( dxGeom* g )
+{
+ dAASSERT(g);
+ dUASSERT(g->parent_space == this, "object is not in this space");
+
+ // check if already dirtied
+ int dirtyIdx = GEOM_GET_DIRTY_IDX(g);
+ if( dirtyIdx != GEOM_INVALID_IDX )
+ return;
+
+ int geomIdx = GEOM_GET_GEOM_IDX(g);
+ dUASSERT( geomIdx>=0 && geomIdx<GeomList.size(), "geom indices messed up" );
+
+ // remove from geom list, place last in place of this
+ int geomSize = GeomList.size();
+ if (geomIdx != geomSize-1) {
+ dxGeom* lastG = GeomList[geomSize-1];
+ GeomList[geomIdx] = lastG;
+ GEOM_SET_GEOM_IDX(lastG,geomIdx);
+ }
+ GeomList.setSize( geomSize-1 );
+
+ // add to dirty list
+ GEOM_SET_GEOM_IDX( g, GEOM_INVALID_IDX );
+ GEOM_SET_DIRTY_IDX( g, DirtyList.size() );
+ DirtyList.push( g );
+}
+
+void dxSAPSpace::computeAABB()
+{
+ // TODO?
+}
+
+void dxSAPSpace::cleanGeoms()
+{
+ int dirtySize = DirtyList.size();
+ if( !dirtySize )
+ return;
+
+ // compute the AABBs of all dirty geoms, clear the dirty flags,
+ // remove from dirty list, place into geom list
+ lock_count++;
+
+ int geomSize = GeomList.size();
+ GeomList.setSize( geomSize + dirtySize ); // ensure space in geom list
+
+ for( int i = 0; i < dirtySize; ++i ) {
+ dxGeom* g = DirtyList[i];
+ if( IS_SPACE(g) ) {
+ ((dxSpace*)g)->cleanGeoms();
+ }
+
+ g->recomputeAABB();
+ dIASSERT((g->gflags & GEOM_AABB_BAD) == 0);
+
+ g->gflags &= ~GEOM_DIRTY;
+
+ // remove from dirty list, add to geom list
+ GEOM_SET_DIRTY_IDX( g, GEOM_INVALID_IDX );
+ GEOM_SET_GEOM_IDX( g, geomSize + i );
+ GeomList[geomSize+i] = g;
+ }
+ // clear dirty list
+ DirtyList.setSize( 0 );
+
+ lock_count--;
+}
+
+void dxSAPSpace::collide( void *data, dNearCallback *callback )
+{
+ dAASSERT (callback);
+
+ lock_count++;
+
+ cleanGeoms();
+
+ // by now all geoms are in GeomList, and DirtyList must be empty
+ int geom_count = GeomList.size();
+ dUASSERT( geom_count == count, "geom counts messed up" );
+
+ // separate all ENABLED geoms into infinite AABBs and normal AABBs
+ TmpGeomList.setSize(0);
+ TmpInfGeomList.setSize(0);
+ int axis0max = ax0idx + 1;
+ for( int i = 0; i < geom_count; ++i ) {
+ dxGeom* g = GeomList[i];
+ if( !GEOM_ENABLED(g) ) // skip disabled ones
+ continue;
+ const dReal& amax = g->aabb[axis0max];
+ if( amax == dInfinity ) // HACK? probably not...
+ TmpInfGeomList.push( g );
+ else
+ TmpGeomList.push( g );
+ }
+
+ // do SAP on normal AABBs
+ dArray< Pair > overlapBoxes;
+ int tmp_geom_count = TmpGeomList.size();
+ if ( tmp_geom_count > 0 )
+ {
+ // Generate a list of overlapping boxes
+ BoxPruning( tmp_geom_count, (const dxGeom**)TmpGeomList.data(), overlapBoxes );
+ }
+
+ // collide overlapping
+ int overlapCount = overlapBoxes.size();
+ for( int j = 0; j < overlapCount; ++j )
+ {
+ const Pair& pair = overlapBoxes[ j ];
+ dxGeom* g1 = TmpGeomList[ pair.id0 ];
+ dxGeom* g2 = TmpGeomList[ pair.id1 ];
+ collideGeomsNoAABBs( g1, g2, data, callback );
+ }
+
+ int infSize = TmpInfGeomList.size();
+ int normSize = TmpGeomList.size();
+ int m, n;
+
+ for ( m = 0; m < infSize; ++m )
+ {
+ dxGeom* g1 = TmpInfGeomList[ m ];
+
+ // collide infinite ones
+ for( n = m+1; n < infSize; ++n ) {
+ dxGeom* g2 = TmpInfGeomList[n];
+ collideGeomsNoAABBs( g1, g2, data, callback );
+ }
+
+ // collide infinite ones with normal ones
+ for( n = 0; n < normSize; ++n ) {
+ dxGeom* g2 = TmpGeomList[n];
+ collideGeomsNoAABBs( g1, g2, data, callback );
+ }
+ }
+
+ lock_count--;
+}
+
+void dxSAPSpace::collide2( void *data, dxGeom *geom, dNearCallback *callback )
+{
+ dAASSERT (geom && callback);
+
+ // TODO: This is just a simple N^2 implementation
+
+ lock_count++;
+
+ cleanGeoms();
+ geom->recomputeAABB();
+
+ // intersect bounding boxes
+ int geom_count = GeomList.size();
+ for ( int i = 0; i < geom_count; ++i ) {
+ dxGeom* g = GeomList[i];
+ if ( GEOM_ENABLED(g) )
+ collideAABBs (g,geom,data,callback);
+ }
+
+ lock_count--;
+}
+
+
+void dxSAPSpace::BoxPruning( int count, const dxGeom** geoms, dArray< Pair >& pairs )
+{
+ // Size the poslist (+1 for infinity end cap)
+ poslist.setSize( count );
+
+ // 1) Build main list using the primary axis
+ // NOTE: uses floats instead of dReals because that's what radix sort wants
+ for( int i = 0; i < count; ++i )
+ poslist[ i ] = (float)TmpGeomList[i]->aabb[ ax0idx ];
+
+ // 2) Sort the list
+ const uint32* Sorted = sortContext.RadixSort( poslist.data(), count );
+
+ // 3) Prune the list
+ const uint32* const LastSorted = Sorted + count;
+ const uint32* RunningAddress = Sorted;
+
+ bool bExitLoop;
+ Pair IndexPair;
+ while ( Sorted < LastSorted )
+ {
+ IndexPair.id0 = *Sorted++;
+
+ // empty, this loop just advances RunningAddress
+ for (bExitLoop = false; poslist[*RunningAddress++] < poslist[IndexPair.id0]; )
+ {
+ if (RunningAddress == LastSorted)
+ {
+ bExitLoop = true;
+ break;
+ }
+ }
+
+ if ( bExitLoop || RunningAddress == LastSorted) // Not a bug!!!
+ {
+ break;
+ }
+
+ const float idx0ax0max = (float)geoms[IndexPair.id0]->aabb[ax0idx+1]; // To avoid wrong decisions caused by rounding errors, cast the AABB element to float similarly as we did at the function beginning
+ const dReal idx0ax1max = geoms[IndexPair.id0]->aabb[ax1idx+1];
+ const dReal idx0ax2max = geoms[IndexPair.id0]->aabb[ax2idx+1];
+
+ for (const uint32* RunningAddress2 = RunningAddress; poslist[ IndexPair.id1 = *RunningAddress2++ ] <= idx0ax0max; )
+ {
+ const dReal* aabb0 = geoms[ IndexPair.id0 ]->aabb;
+ const dReal* aabb1 = geoms[ IndexPair.id1 ]->aabb;
+
+ // Intersection?
+ if ( idx0ax1max >= aabb1[ax1idx] && aabb1[ax1idx+1] >= aabb0[ax1idx]
+ && idx0ax2max >= aabb1[ax2idx] && aabb1[ax2idx+1] >= aabb0[ax2idx] )
+ {
+ pairs.push( IndexPair );
+ }
+
+ if (RunningAddress2 == LastSorted)
+ {
+ break;
+ }
+ }
+
+ } // while ( RunningAddress < LastSorted && Sorted < LastSorted )
+}
+
+
+//==============================================================================
+
+//------------------------------------------------------------------------------
+// Radix Sort
+//------------------------------------------------------------------------------
+
+
+
+#define CHECK_PASS_VALIDITY(pass) \
+ /* Shortcut to current counters */ \
+ const uint32* CurCount = &mHistogram[pass<<8]; \
+ \
+ /* Reset flag. The sorting pass is supposed to be performed. (default) */ \
+ bool PerformPass = true; \
+ \
+ /* Check pass validity */ \
+ \
+ /* If all values have the same byte, sorting is useless. */ \
+ /* It may happen when sorting bytes or words instead of dwords. */ \
+ /* This routine actually sorts words faster than dwords, and bytes */ \
+ /* faster than words. Standard running time (O(4*n))is reduced to O(2*n) */ \
+ /* for words and O(n) for bytes. Running time for floats depends on actual values... */ \
+ \
+ /* Get first byte */ \
+ uint8 UniqueVal = *(((const uint8*)input)+pass); \
+ \
+ /* Check that byte's counter */ \
+ if(CurCount[UniqueVal]==nb) PerformPass=false;
+
+// WARNING ONLY SORTS IEEE FLOATING-POINT VALUES
+const uint32* RaixSortContext::RadixSort( const float* input2, uint32 nb )
+{
+ union _type_cast_union
+ {
+ _type_cast_union(const float *floats): asFloats(floats) {}
+ _type_cast_union(const uint32 *uints32): asUInts32(uints32) {}
+
+ const float *asFloats;
+ const uint32 *asUInts32;
+ const uint8 *asUInts8;
+ };
+
+ const uint32* input = _type_cast_union(input2).asUInts32;
+
+ // Resize lists if needed
+ ReallocateRanksIfNecessary(nb);
+
+ // Allocate histograms & offsets on the stack
+ uint32 mHistogram[256*4];
+ uint32* mLink[256];
+
+ // Create histograms (counters). Counters for all passes are created in one run.
+ // Pros: read input buffer once instead of four times
+ // Cons: mHistogram is 4Kb instead of 1Kb
+ // Floating-point values are always supposed to be signed values, so there's only one code path there.
+ // Please note the floating point comparison needed for temporal coherence! Although the resulting asm code
+ // is dreadful, this is surprisingly not such a performance hit - well, I suppose that's a big one on first
+ // generation Pentiums....We can't make comparison on integer representations because, as Chris said, it just
+ // wouldn't work with mixed positive/negative values....
+ {
+ /* Clear counters/histograms */
+ memset(mHistogram, 0, 256*4*sizeof(uint32));
+
+ /* Prepare to count */
+ const uint8* p = _type_cast_union(input).asUInts8;
+ const uint8* pe = &p[nb*4];
+ uint32* h0= &mHistogram[0]; /* Histogram for first pass (LSB) */
+ uint32* h1= &mHistogram[256]; /* Histogram for second pass */
+ uint32* h2= &mHistogram[512]; /* Histogram for third pass */
+ uint32* h3= &mHistogram[768]; /* Histogram for last pass (MSB) */
+
+ bool AlreadySorted = true; /* Optimism... */
+
+ if (!AreRanksValid())
+ {
+ /* Prepare for temporal coherence */
+ const float* Running = input2;
+ float PrevVal = *Running;
+
+ while(p!=pe)
+ {
+ /* Read input input2 in previous sorted order */
+ float Val = *Running++;
+ /* Check whether already sorted or not */
+ if(Val<PrevVal) { AlreadySorted = false; break; } /* Early out */
+ /* Update for next iteration */
+ PrevVal = Val;
+
+ /* Create histograms */
+ h0[*p++]++; h1[*p++]++; h2[*p++]++; h3[*p++]++;
+ }
+
+ /* If all input values are already sorted, we just have to return and leave the */
+ /* previous list unchanged. That way the routine may take advantage of temporal */
+ /* coherence, for example when used to sort transparent faces. */
+ if(AlreadySorted)
+ {
+ uint32* const Ranks1 = GetRanks1();
+ for(uint32 i=0;i<nb;i++) Ranks1[i] = i;
+ return Ranks1;
+ }
+ }
+ else
+ {
+ /* Prepare for temporal coherence */
+ uint32* const Ranks1 = GetRanks1();
+
+ uint32* Indices = Ranks1;
+ float PrevVal = input2[*Indices];
+
+ while(p!=pe)
+ {
+ /* Read input input2 in previous sorted order */
+ float Val = input2[*Indices++];
+ /* Check whether already sorted or not */
+ if(Val<PrevVal) { AlreadySorted = false; break; } /* Early out */
+ /* Update for next iteration */
+ PrevVal = Val;
+
+ /* Create histograms */
+ h0[*p++]++; h1[*p++]++; h2[*p++]++; h3[*p++]++;
+ }
+
+ /* If all input values are already sorted, we just have to return and leave the */
+ /* previous list unchanged. That way the routine may take advantage of temporal */
+ /* coherence, for example when used to sort transparent faces. */
+ if(AlreadySorted) { return Ranks1; }
+ }
+
+ /* Else there has been an early out and we must finish computing the histograms */
+ while(p!=pe)
+ {
+ /* Create histograms without the previous overhead */
+ h0[*p++]++; h1[*p++]++; h2[*p++]++; h3[*p++]++;
+ }
+ }
+
+ // Compute #negative values involved if needed
+ uint32 NbNegativeValues = 0;
+
+ // An efficient way to compute the number of negatives values we'll have to deal with is simply to sum the 128
+ // last values of the last histogram. Last histogram because that's the one for the Most Significant Byte,
+ // responsible for the sign. 128 last values because the 128 first ones are related to positive numbers.
+ uint32* h3= &mHistogram[768];
+ for(uint32 i=128;i<256;i++) NbNegativeValues += h3[i]; // 768 for last histogram, 128 for negative part
+
+ // Radix sort, j is the pass number (0=LSB, 3=MSB)
+ for(uint32 j=0;j<4;j++)
+ {
+ // Should we care about negative values?
+ if(j!=3)
+ {
+ // Here we deal with positive values only
+ CHECK_PASS_VALIDITY(j);
+
+ if(PerformPass)
+ {
+ uint32* const Ranks2 = GetRanks2();
+ // Create offsets
+ mLink[0] = Ranks2;
+ for(uint32 i=1;i<256;i++) mLink[i] = mLink[i-1] + CurCount[i-1];
+
+ // Perform Radix Sort
+ const uint8* InputBytes = _type_cast_union(input).asUInts8;
+ InputBytes += j;
+ if (!AreRanksValid())
+ {
+ for(uint32 i=0;i<nb;i++)
+ {
+ *mLink[InputBytes[i<<2]]++ = i;
+ }
+
+ ValidateRanks();
+ }
+ else
+ {
+ uint32* const Ranks1 = GetRanks1();
+
+ uint32* Indices = Ranks1;
+ uint32* const IndicesEnd = Ranks1 + nb;
+ while(Indices!=IndicesEnd)
+ {
+ uint32 id = *Indices++;
+ *mLink[InputBytes[id<<2]]++ = id;
+ }
+ }
+
+ // Swap pointers for next pass. Valid indices - the most recent ones - are in mRanks after the swap.
+ SwapRanks();
+ }
+ }
+ else
+ {
+ // This is a special case to correctly handle negative values
+ CHECK_PASS_VALIDITY(j);
+
+ if(PerformPass)
+ {
+ uint32* const Ranks2 = GetRanks2();
+
+ // Create biased offsets, in order for negative numbers to be sorted as well
+ mLink[0] = Ranks2 + NbNegativeValues; // First positive number takes place after the negative ones
+ for(uint32 i=1;i<128;i++) mLink[i] = mLink[i-1] + CurCount[i-1]; // 1 to 128 for positive numbers
+
+ // We must reverse the sorting order for negative numbers!
+ mLink[255] = Ranks2;
+ for(uint32 i=0;i<127;i++) mLink[254-i] = mLink[255-i] + CurCount[255-i]; // Fixing the wrong order for negative values
+ for(uint32 i=128;i<256;i++) mLink[i] += CurCount[i]; // Fixing the wrong place for negative values
+
+ // Perform Radix Sort
+ if (!AreRanksValid())
+ {
+ for(uint32 i=0;i<nb;i++)
+ {
+ uint32 Radix = input[i]>>24; // Radix byte, same as above. AND is useless here (uint32).
+ // ### cmp to be killed. Not good. Later.
+ if(Radix<128) *mLink[Radix]++ = i; // Number is positive, same as above
+ else *(--mLink[Radix]) = i; // Number is negative, flip the sorting order
+ }
+
+ ValidateRanks();
+ }
+ else
+ {
+ uint32* const Ranks1 = GetRanks1();
+
+ for(uint32 i=0;i<nb;i++)
+ {
+ uint32 Radix = input[Ranks1[i]]>>24; // Radix byte, same as above. AND is useless here (uint32).
+ // ### cmp to be killed. Not good. Later.
+ if(Radix<128) *mLink[Radix]++ = Ranks1[i]; // Number is positive, same as above
+ else *(--mLink[Radix]) = Ranks1[i]; // Number is negative, flip the sorting order
+ }
+ }
+ // Swap pointers for next pass. Valid indices - the most recent ones - are in mRanks after the swap.
+ SwapRanks();
+ }
+ else
+ {
+ // The pass is useless, yet we still have to reverse the order of current list if all values are negative.
+ if(UniqueVal>=128)
+ {
+ if (!AreRanksValid())
+ {
+ uint32* const Ranks2 = GetRanks2();
+ // ###Possible?
+ for(uint32 i=0;i<nb;i++)
+ {
+ Ranks2[i] = nb-i-1;
+ }
+
+ ValidateRanks();
+ }
+ else
+ {
+ uint32* const Ranks1 = GetRanks1();
+ uint32* const Ranks2 = GetRanks2();
+ for(uint32 i=0;i<nb;i++) Ranks2[i] = Ranks1[nb-i-1];
+ }
+
+ // Swap pointers for next pass. Valid indices - the most recent ones - are in mRanks after the swap.
+ SwapRanks();
+ }
+ }
+ }
+ }
+
+ // Return indices
+ uint32* const Ranks1 = GetRanks1();
+ return Ranks1;
+}
+