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-/*
----------------------------------------------------------------------------
-Open Asset Import Library (ASSIMP)
----------------------------------------------------------------------------
-
-Copyright (c) 2006-2010, ASSIMP Development Team
-
-All rights reserved.
-
-Redistribution and use of this software in source and binary forms,
-with or without modification, are permitted provided that the following
-conditions are met:
-
-* Redistributions of source code must retain the above
- copyright notice, this list of conditions and the
- following disclaimer.
-
-* Redistributions in binary form must reproduce the above
- copyright notice, this list of conditions and the
- following disclaimer in the documentation and/or other
- materials provided with the distribution.
-
-* Neither the name of the ASSIMP team, nor the names of its
- contributors may be used to endorse or promote products
- derived from this software without specific prior
- written permission of the ASSIMP Development Team.
-
-THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
-OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
-SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
-LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
-DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
-THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
-(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
----------------------------------------------------------------------------
-*/
-
-/** @file Implementation of the helper class to quickly find vertices close to a given position */
-
-#include "AssimpPCH.h"
-#include "SpatialSort.h"
-
-using namespace Assimp;
-
-// CHAR_BIT seems to be defined under MVSC, but not under GCC. Pray that the correct value is 8.
-#ifndef CHAR_BIT
-# define CHAR_BIT 8
-#endif
-
-// ------------------------------------------------------------------------------------------------
-// Constructs a spatially sorted representation from the given position array.
-SpatialSort::SpatialSort( const aiVector3D* pPositions, unsigned int pNumPositions,
- unsigned int pElementOffset)
-
- // define the reference plane. We choose some arbitrary vector away from all basic axises
- // in the hope that no model spreads all its vertices along this plane.
- : mPlaneNormal(0.8523f, 0.34321f, 0.5736f)
-{
- mPlaneNormal.Normalize();
- Fill(pPositions,pNumPositions,pElementOffset);
-}
-
-// ------------------------------------------------------------------------------------------------
-SpatialSort :: SpatialSort()
-: mPlaneNormal(0.8523f, 0.34321f, 0.5736f)
-{
- mPlaneNormal.Normalize();
-}
-
-// ------------------------------------------------------------------------------------------------
-// Destructor
-SpatialSort::~SpatialSort()
-{
- // nothing to do here, everything destructs automatically
-}
-
-// ------------------------------------------------------------------------------------------------
-void SpatialSort::Fill( const aiVector3D* pPositions, unsigned int pNumPositions,
- unsigned int pElementOffset,
- bool pFinalize /*= true */)
-{
- mPositions.clear();
- Append(pPositions,pNumPositions,pElementOffset,pFinalize);
-}
-
-// ------------------------------------------------------------------------------------------------
-void SpatialSort :: Finalize()
-{
- std::sort( mPositions.begin(), mPositions.end());
-}
-
-// ------------------------------------------------------------------------------------------------
-void SpatialSort::Append( const aiVector3D* pPositions, unsigned int pNumPositions,
- unsigned int pElementOffset,
- bool pFinalize /*= true */)
-{
- // store references to all given positions along with their distance to the reference plane
- const size_t initial = mPositions.size();
- mPositions.reserve(initial + (pFinalize?pNumPositions:pNumPositions*2));
- for( unsigned int a = 0; a < pNumPositions; a++)
- {
- const char* tempPointer = reinterpret_cast<const char*> (pPositions);
- const aiVector3D* vec = reinterpret_cast<const aiVector3D*> (tempPointer + a * pElementOffset);
-
- // store position by index and distance
- float distance = *vec * mPlaneNormal;
-
- // UGLY HACK !!!
- // TODO: fix it
- volatile int KillOptimisation = *((int*)&distance);
-
- mPositions.push_back( Entry( a+initial, *vec, distance));
- }
-
- if (pFinalize) {
- // now sort the array ascending by distance.
- Finalize();
- }
-}
-
-// ------------------------------------------------------------------------------------------------
-// Returns an iterator for all positions close to the given position.
-void SpatialSort::FindPositions( const aiVector3D& pPosition,
- float pRadius, std::vector<unsigned int>& poResults) const
-{
- const float dist = pPosition * mPlaneNormal;
- const float minDist = dist - pRadius, maxDist = dist + pRadius;
-
- // clear the array in this strange fashion because a simple clear() would also deallocate
- // the array which we want to avoid
- poResults.erase( poResults.begin(), poResults.end());
-
- // quick check for positions outside the range
- if( mPositions.size() == 0)
- return;
- if( maxDist < mPositions.front().mDistance)
- return;
- if( minDist > mPositions.back().mDistance)
- return;
-
- // do a binary search for the minimal distance to start the iteration there
- unsigned int index = (unsigned int)mPositions.size() / 2;
- unsigned int binaryStepSize = (unsigned int)mPositions.size() / 4;
- while( binaryStepSize > 1)
- {
- if( mPositions[index].mDistance < minDist)
- index += binaryStepSize;
- else
- index -= binaryStepSize;
-
- binaryStepSize /= 2;
- }
-
- // depending on the direction of the last step we need to single step a bit back or forth
- // to find the actual beginning element of the range
- while( index > 0 && mPositions[index].mDistance > minDist)
- index--;
- while( index < (mPositions.size() - 1) && mPositions[index].mDistance < minDist)
- index++;
-
- // Mow start iterating from there until the first position lays outside of the distance range.
- // Add all positions inside the distance range within the given radius to the result aray
- std::vector<Entry>::const_iterator it = mPositions.begin() + index;
- const float pSquared = pRadius*pRadius;
- while( it->mDistance < maxDist)
- {
- if( (it->mPosition - pPosition).SquareLength() < pSquared)
- poResults.push_back( it->mIndex);
- ++it;
- if( it == mPositions.end())
- break;
- }
-
- // that's it
-}
-
-namespace {
-
- // Binary, signed-integer representation of a single-precision floating-point value.
- // IEEE 754 says: "If two floating-point numbers in the same format are ordered then they are
- // ordered the same way when their bits are reinterpreted as sign-magnitude integers."
- // This allows us to convert all floating-point numbers to signed integers of arbitrary size
- // and then use them to work with ULPs (Units in the Last Place, for high-precision
- // computations) or to compare them (integer comparisons are faster than floating-point
- // comparisons on many platforms).
- typedef signed int BinFloat;
-
- // --------------------------------------------------------------------------------------------
- // Converts the bit pattern of a floating-point number to its signed integer representation.
- BinFloat ToBinary( const float & pValue) {
-
- // If this assertion fails, signed int is not big enough to store a float on your platform.
- // Please correct the declaration of BinFloat a few lines above - but do it in a portable,
- // #ifdef'd manner!
- BOOST_STATIC_ASSERT( sizeof(BinFloat) >= sizeof(float));
-
- #if defined( _MSC_VER)
- // If this assertion fails, Visual C++ has finally moved to ILP64. This means that this
- // code has just become legacy code! Find out the current value of _MSC_VER and modify
- // the #if above so it evaluates false on the current and all upcoming VC versions (or
- // on the current platform, if LP64 or LLP64 are still used on other platforms).
- BOOST_STATIC_ASSERT( sizeof(BinFloat) == sizeof(float));
-
- // This works best on Visual C++, but other compilers have their problems with it.
- const BinFloat binValue = reinterpret_cast<BinFloat const &>(pValue);
- #else
- // On many compilers, reinterpreting a float address as an integer causes aliasing
- // problems. This is an ugly but more or less safe way of doing it.
- union {
- float asFloat;
- BinFloat asBin;
- } conversion;
- conversion.asBin = 0; // zero empty space in case sizeof(BinFloat) > sizeof(float)
- conversion.asFloat = pValue;
- const BinFloat binValue = conversion.asBin;
- #endif
-
- // floating-point numbers are of sign-magnitude format, so find out what signed number
- // representation we must convert negative values to.
- // See http://en.wikipedia.org/wiki/Signed_number_representations.
-
- // Two's complement?
- if( (-42 == (~42 + 1)) && (binValue & 0x80000000))
- return BinFloat(1 << (CHAR_BIT * sizeof(BinFloat) - 1)) - binValue;
- // One's complement?
- else if( (-42 == ~42) && (binValue & 0x80000000))
- return BinFloat(-0) - binValue;
- // Sign-magnitude?
- else if( (-42 == (42 | (-0))) && (binValue & 0x80000000)) // -0 = 1000... binary
- return binValue;
- else
- return binValue;
- }
-
-} // namespace
-
-// ------------------------------------------------------------------------------------------------
-// Fills an array with indices of all positions indentical to the given position. In opposite to
-// FindPositions(), not an epsilon is used but a (very low) tolerance of four floating-point units.
-void SpatialSort::FindIdenticalPositions( const aiVector3D& pPosition,
- std::vector<unsigned int>& poResults) const
-{
- // Epsilons have a huge disadvantage: they are of constant precision, while floating-point
- // values are of log2 precision. If you apply e=0.01 to 100, the epsilon is rather small, but
- // if you apply it to 0.001, it is enormous.
-
- // The best way to overcome this is the unit in the last place (ULP). A precision of 2 ULPs
- // tells us that a float does not differ more than 2 bits from the "real" value. ULPs are of
- // logarithmic precision - around 1, they are 1÷(2^24) and around 10000, they are 0.00125.
-
- // For standard C math, we can assume a precision of 0.5 ULPs according to IEEE 754. The
- // incoming vertex positions might have already been transformed, probably using rather
- // inaccurate SSE instructions, so we assume a tolerance of 4 ULPs to safely identify
- // identical vertex positions.
- static const int toleranceInULPs = 4;
- // An interesting point is that the inaccuracy grows linear with the number of operations:
- // multiplying to numbers, each inaccurate to four ULPs, results in an inaccuracy of four ULPs
- // plus 0.5 ULPs for the multiplication.
- // To compute the distance to the plane, a dot product is needed - that is a multiplication and
- // an addition on each number.
- static const int distanceToleranceInULPs = toleranceInULPs + 1;
- // The squared distance between two 3D vectors is computed the same way, but with an additional
- // subtraction.
- static const int distance3DToleranceInULPs = distanceToleranceInULPs + 1;
-
- // Convert the plane distance to its signed integer representation so the ULPs tolerance can be
- // applied. For some reason, VC won't optimize two calls of the bit pattern conversion.
- const BinFloat minDistBinary = ToBinary( pPosition * mPlaneNormal) - distanceToleranceInULPs;
- const BinFloat maxDistBinary = minDistBinary + 2 * distanceToleranceInULPs;
-
- // clear the array in this strange fashion because a simple clear() would also deallocate
- // the array which we want to avoid
- poResults.erase( poResults.begin(), poResults.end());
-
- // do a binary search for the minimal distance to start the iteration there
- unsigned int index = (unsigned int)mPositions.size() / 2;
- unsigned int binaryStepSize = (unsigned int)mPositions.size() / 4;
- while( binaryStepSize > 1)
- {
- // Ugly, but conditional jumps are faster with integers than with floats
- if( minDistBinary > ToBinary(mPositions[index].mDistance))
- index += binaryStepSize;
- else
- index -= binaryStepSize;
-
- binaryStepSize /= 2;
- }
-
- // depending on the direction of the last step we need to single step a bit back or forth
- // to find the actual beginning element of the range
- while( index > 0 && minDistBinary < ToBinary(mPositions[index].mDistance) )
- index--;
- while( index < (mPositions.size() - 1) && minDistBinary > ToBinary(mPositions[index].mDistance))
- index++;
-
- // Now start iterating from there until the first position lays outside of the distance range.
- // Add all positions inside the distance range within the tolerance to the result aray
- std::vector<Entry>::const_iterator it = mPositions.begin() + index;
- while( ToBinary(it->mDistance) < maxDistBinary)
- {
- if( distance3DToleranceInULPs >= ToBinary((it->mPosition - pPosition).SquareLength()))
- poResults.push_back(it->mIndex);
- ++it;
- if( it == mPositions.end())
- break;
- }
-
- // that's it
-}
-
-// ------------------------------------------------------------------------------------------------
-unsigned int SpatialSort::GenerateMappingTable(std::vector<unsigned int>& fill,float pRadius) const
-{
- fill.resize(mPositions.size(),0xffffffff);
- float dist, maxDist;
-
- unsigned int t=0;
- const float pSquared = pRadius*pRadius;
- for (size_t i = 0; i < mPositions.size();) {
- dist = mPositions[i].mPosition * mPlaneNormal;
- maxDist = dist + pRadius;
-
- fill[mPositions[i].mIndex] = t;
- const aiVector3D& oldpos = mPositions[i].mPosition;
- for (++i; i < fill.size() && mPositions[i].mDistance < maxDist
- && (mPositions[i].mPosition - oldpos).SquareLength() < pSquared; ++i)
- {
- fill[mPositions[i].mIndex] = t;
- }
- ++t;
- }
-
-#ifdef _DEBUG
-
- // debug invariant: mPositions[i].mIndex values must range from 0 to mPositions.size()-1
- for (size_t i = 0; i < fill.size(); ++i) {
- ai_assert(fill[i]<mPositions.size());
- }
-
-#endif
- return t;
-}
-