text: /*
  Copyright (c) 2006, Michael Kazhdan and Matthew Bolitho
  All rights reserved.
  
  Redistribution and use 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 Johns Hopkins University nor the names of its contributors
  may be used to endorse or promote products derived from this software without specific
  prior written permission. 
  
  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.
  */
  
  #include "Mesh/PoissonRecon/PreProcessor.h"
  
  #undef USE_DOUBLE								// If enabled, double-precesion is used
  
  #define DATA_DEGREE 0							// The order of the B-Spline used to splat in data for color interpolation
  #define WEIGHT_DEGREE 2							// The order of the B-Spline used to splat in the weights for density estimation
  #define NORMAL_DEGREE 2							// The order of the B-Spline used to splat in the normals for constructing the Laplacian constraints
  #define DEFAULT_FEM_DEGREE 1					// The default finite-element degree
  #define DEFAULT_FEM_BOUNDARY BOUNDARY_NEUMANN	// The default finite-element boundary type
  #define DIMENSION 3								// The dimension of the system
  
  #include <stdio.h>
  #include <stdlib.h>
  #include <math.h>
  #include <float.h>
  #include "Mesh/PoissonRecon/MyMiscellany.h"
  #include "Mesh/PoissonRecon/CmdLineParser.h"
  #include "Mesh/PoissonRecon/PPolynomial.h"
  #include "Mesh/PoissonRecon/FEMTree.h"
  #include "Mesh/PoissonRecon/Ply.h"
  #include "Mesh/PoissonRecon/PointStreamData.h"
  #include "Mesh/PoissonRecon/Image.h"
  
  MessageWriter messageWriter;
  
  const float DefaultPointWeightMultiplier = 2.f;
  
  cmdLineParameter< char* >
  	In( "in" ) ,
  	Out( "out" ) ,
  	TempDir( "tempDir" ) ,
  	Grid( "grid" ) ,
  	Tree( "tree" ) ,
  	Transform( "xForm" );
  
  cmdLineReadable
  	Performance( "performance" ) ,
  	ShowResidual( "showResidual" ) ,
  	NoComments( "noComments" ) ,
  	PolygonMesh( "polygonMesh" ) ,
  	NonManifold( "nonManifold" ) ,
  	ASCII( "ascii" ) ,
  	Density( "density" ) ,
  	LinearFit( "linearFit" ) ,
  	PrimalGrid( "primalGrid" ) ,
  	ExactInterpolation( "exact" ) ,
  	Normals( "normals" ) ,
  	Colors( "colors" ) ,
  	InCore( "inCore" ) ,
  	Verbose( "verbose" );
  
  cmdLineParameter< int >
  #ifndef FAST_COMPILE
  	Degree( "degree" , DEFAULT_FEM_DEGREE ) ,
  #endif // !FAST_COMPILE
  	Depth( "depth" , 8 ) ,
  	KernelDepth( "kernelDepth" ) ,
  	Iters( "iters" , 8 ) ,
  	FullDepth( "fullDepth" , 5 ) ,
  	BaseDepth( "baseDepth" , 0 ) ,
  	BaseVCycles( "baseVCycles" , 1 ) ,
  #ifndef FAST_COMPILE
  	BType( "bType" , DEFAULT_FEM_BOUNDARY+1 ) ,
  #endif // !FAST_COMPILE
  	MaxMemoryGB( "maxMemory" , 0 ) ,
  #ifdef _OPENMP
  	ParallelType( "parallel" , (int)ThreadPool::OPEN_MP ) ,
  #else // !_OPENMP
  	ParallelType( "parallel" , (int)ThreadPool::THREAD_POOL ) ,
  #endif // _OPENMP
  	ScheduleType( "schedule" , (int)ThreadPool::DefaultSchedule ) ,
  	ThreadChunkSize( "chunkSize" , (int)ThreadPool::DefaultChunkSize ) ,
  	Threads( "threads" , (int)std::thread::hardware_concurrency() );
  
  cmdLineParameter< float >
  	DataX( "data" , 32.f ) ,
  	SamplesPerNode( "samplesPerNode" , 1.5f ) ,
  	Scale( "scale" , 1.1f ) ,
  	Width( "width" , 0.f ) ,
  	Confidence( "confidence" , 0.f ) ,
  	ConfidenceBias( "confidenceBias" , 0.f ) ,
  	CGSolverAccuracy( "cgAccuracy" , 1e-3f ) ,
  	PointWeight( "pointWeight" );
  
  cmdLineReadable* params[] =
  {
  #ifndef FAST_COMPILE
  	&Degree , &BType ,
  #endif // !FAST_COMPILE
  	&In , &Depth , &Out , &Transform ,
  	&Width ,
  	&Scale , &Verbose , &CGSolverAccuracy , &NoComments ,
  	&KernelDepth , &SamplesPerNode , &Confidence , &NonManifold , &PolygonMesh , &ASCII , &ShowResidual ,
  	&ConfidenceBias ,
  	&BaseDepth , &BaseVCycles ,
  	&PointWeight ,
  	&Grid , &Threads ,
  	&Tree ,
  	&Density ,
  	&FullDepth ,
  	&Iters ,
  	&DataX ,
  	&Colors ,
  	&Normals ,
  	&LinearFit ,
  	&PrimalGrid ,
  	&TempDir ,
  	&ExactInterpolation ,
  	&Performance ,
  	&MaxMemoryGB ,
  	&InCore ,
  	&ParallelType ,
  	&ScheduleType ,
  	&ThreadChunkSize ,
  	NULL
  };
  
  void ShowUsage(char* ex)
  {
  	printf( "Usage: %s\n" , ex );
  	printf( "\t --%s <input points>\n" , In.name );
  	printf( "\t[--%s <ouput triangle mesh>]\n" , Out.name );
  	printf( "\t[--%s <ouput grid>]\n" , Grid.name );
  	printf( "\t[--%s <ouput fem tree>]\n" , Tree.name );
  #ifndef FAST_COMPILE
  	printf( "\t[--%s <b-spline degree>=%d]\n" , Degree.name , Degree.value );
  	printf( "\t[--%s <boundary type>=%d]\n" , BType.name , BType.value );
  	for( int i=0 ; i<BOUNDARY_COUNT ; i++ ) printf( "\t\t%d] %s\n" , i+1 , BoundaryNames[i] );
  #endif // !FAST_COMPILE
  	printf( "\t[--%s <maximum reconstruction depth>=%d]\n" , Depth.name , Depth.value );
  	printf( "\t[--%s <grid width>]\n" , Width.name );
  	printf( "\t[--%s <full depth>=%d]\n" , FullDepth.name , FullDepth.value );
  	printf( "\t[--%s <coarse MG solver depth>=%d]\n" , BaseDepth.name , BaseDepth.value );
  	printf( "\t[--%s <coarse MG solver v-cycles>=%d]\n" , BaseVCycles.name , BaseVCycles.value );
  	printf( "\t[--%s <scale factor>=%f]\n" , Scale.name , Scale.value );
  	printf( "\t[--%s <minimum number of samples per node>=%f]\n" , SamplesPerNode.name, SamplesPerNode.value );
  	printf( "\t[--%s <interpolation weight>=%.3e * <b-spline degree>]\n" , PointWeight.name , DefaultPointWeightMultiplier );
  	printf( "\t[--%s <iterations>=%d]\n" , Iters.name , Iters.value );
  	printf( "\t[--%s]\n" , ExactInterpolation.name );
  	printf( "\t[--%s <pull factor>=%f]\n" , DataX.name , DataX.value );
  	printf( "\t[--%s]\n" , Colors.name );
  	printf( "\t[--%s]\n" , Normals.name );
  	printf( "\t[--%s <num threads>=%d]\n" , Threads.name , Threads.value );
  	printf( "\t[--%s <parallel type>=%d]\n" , ParallelType.name , ParallelType.value );
  	for( size_t i=0 ; i<ThreadPool::ParallelNames.size() ; i++ ) printf( "\t\t%d] %s\n" , (int)i , ThreadPool::ParallelNames[i].c_str() );
  	printf( "\t[--%s <schedue type>=%d]\n" , ScheduleType.name , ScheduleType.value );
  	for( size_t i=0 ; i<ThreadPool::ScheduleNames.size() ; i++ ) printf( "\t\t%d] %s\n" , (int)i , ThreadPool::ScheduleNames[i].c_str() );
  	printf( "\t[--%s <thread chunk size>=%d]\n" , ThreadChunkSize.name , ThreadChunkSize.value );
  
  	printf( "\t[--%s <normal confidence exponent>=%f]\n" , Confidence.name , Confidence.value );
  	printf( "\t[--%s <normal confidence bias exponent>=%f]\n" , ConfidenceBias.name , ConfidenceBias.value );
  	printf( "\t[--%s]\n" , NonManifold.name );
  	printf( "\t[--%s]\n" , PolygonMesh.name );
  	printf( "\t[--%s <cg solver accuracy>=%g]\n" , CGSolverAccuracy.name , CGSolverAccuracy.value );
  	printf( "\t[--%s <maximum memory (in GB)>=%d]\n" , MaxMemoryGB.name , MaxMemoryGB.value );
  	printf( "\t[--%s]\n" , Performance.name );
  	printf( "\t[--%s]\n" , Density.name );
  	printf( "\t[--%s]\n" , LinearFit.name );
  	printf( "\t[--%s]\n" , PrimalGrid.name );
  	printf( "\t[--%s]\n" , ASCII.name );
  	printf( "\t[--%s]\n" , NoComments.name );
  	printf( "\t[--%s]\n" , TempDir.name );
  	printf( "\t[--%s]\n" , InCore.name );
  	printf( "\t[--%s]\n" , Verbose.name );
  }
  
  double Weight( double v , double start , double end )
  {
  	v = ( v - start ) / ( end - start );
  	if     ( v<0 ) return 1.;
  	else if( v>1 ) return 0.;
  	else
  	{
  		// P(x) = a x^3 + b x^2 + c x + d
  		//		P (0) = 1 , P (1) = 0 , P'(0) = 0 , P'(1) = 0
  		// =>	d = 1 , a + b + c + d = 0 , c = 0 , 3a + 2b + c = 0
  		// =>	c = 0 , d = 1 , a + b = -1 , 3a + 2b = 0
  		// =>	a = 2 , b = -3 , c = 0 , d = 1
  		// =>	P(x) = 2 x^3 - 3 x^2 + 1
  		return 2. * v * v * v - 3. * v * v + 1.;
  	}
  }
  
  template< unsigned int Dim , class Real >
  struct FEMTreeProfiler
  {
  	FEMTree< Dim , Real >& tree;
  	double t;
  
  	FEMTreeProfiler( FEMTree< Dim , Real >& t ) : tree(t) { ; }
  	void start( void ){ t = Time() , FEMTree< Dim , Real >::ResetLocalMemoryUsage(); }
  	void print( const char* header ) const
  	{
  		FEMTree< Dim , Real >::MemoryUsage();
  		if( header ) printf( "%s %9.1f (s), %9.1f (MB) / %9.1f (MB) / %9.1f (MB)\n" , header , Time()-t , FEMTree< Dim , Real >::LocalMemoryUsage() , FEMTree< Dim , Real >::MaxMemoryUsage() , MemoryInfo::PeakMemoryUsageMB() );
  		else         printf(    "%9.1f (s), %9.1f (MB) / %9.1f (MB) / %9.1f (MB)\n" ,          Time()-t , FEMTree< Dim , Real >::LocalMemoryUsage() , FEMTree< Dim , Real >::MaxMemoryUsage() , MemoryInfo::PeakMemoryUsageMB() );
  	}
  	void dumpOutput( const char* header ) const
  	{
  		FEMTree< Dim , Real >::MemoryUsage();
  		if( header ) messageWriter( "%s %9.1f (s), %9.1f (MB) / %9.1f (MB) / %9.1f (MB)\n" , header , Time()-t , FEMTree< Dim , Real >::LocalMemoryUsage() , FEMTree< Dim , Real >::MaxMemoryUsage() , MemoryInfo::PeakMemoryUsageMB() );
  		else         messageWriter(    "%9.1f (s), %9.1f (MB) / %9.1f (MB) / %9.1f (MB)\n" ,          Time()-t , FEMTree< Dim , Real >::LocalMemoryUsage() , FEMTree< Dim , Real >::MaxMemoryUsage() , MemoryInfo::PeakMemoryUsageMB() );
  	}
  	void dumpOutput2( std::vector< std::string >& comments , const char* header ) const
  	{
  		FEMTree< Dim , Real >::MemoryUsage();
  		if( header ) messageWriter( comments , "%s %9.1f (s), %9.1f (MB) / %9.1f (MB) / %9.1f (MB)\n" , header , Time()-t , FEMTree< Dim , Real >::LocalMemoryUsage() , FEMTree< Dim , Real >::MaxMemoryUsage() , MemoryInfo::PeakMemoryUsageMB() );
  		else         messageWriter( comments ,    "%9.1f (s), %9.1f (MB) / %9.1f (MB) / %9.1f (MB)\n" ,          Time()-t , FEMTree< Dim , Real >::LocalMemoryUsage() , FEMTree< Dim , Real >::MaxMemoryUsage() , MemoryInfo::PeakMemoryUsageMB() );
  	}
  };
  
  template< class Real , unsigned int Dim >
  XForm< Real , Dim+1 > GetBoundingBoxXForm( Point< Real , Dim > min , Point< Real , Dim > max , Real scaleFactor )
  {
  	Point< Real , Dim > center = ( max + min ) / 2;
  	Real scale = max[0] - min[0];
  	for( int d=1 ; d<Dim ; d++ ) scale = std::max< Real >( scale , max[d]-min[d] );
  	scale *= scaleFactor;
  	for( int i=0 ; i<Dim ; i++ ) center[i] -= scale/2;
  	XForm< Real , Dim+1 > tXForm = XForm< Real , Dim+1 >::Identity() , sXForm = XForm< Real , Dim+1 >::Identity();
  	for( int i=0 ; i<Dim ; i++ ) sXForm(i,i) = (Real)(1./scale ) , tXForm(Dim,i) = -center[i];
  	return sXForm * tXForm;
  }
  template< class Real , unsigned int Dim >
  XForm< Real , Dim+1 > GetBoundingBoxXForm( Point< Real , Dim > min , Point< Real , Dim > max , Real width , Real scaleFactor , int& depth )
  {
  	// Get the target resolution (along the largest dimension)
  	Real resolution = ( max[0]-min[0] ) / width;
  	for( int d=1 ; d<Dim ; d++ ) resolution = std::max< Real >( resolution , ( max[d]-min[d] ) / width );
  	resolution *= scaleFactor;
  	depth = 0;
  	while( (1<<depth)<resolution ) depth++;
  
  	Point< Real , Dim > center = ( max + min ) / 2;
  	Real scale = (1<<depth) * width;
  
  	for( int i=0 ; i<Dim ; i++ ) center[i] -= scale/2;
  	XForm< Real , Dim+1 > tXForm = XForm< Real , Dim+1 >::Identity() , sXForm = XForm< Real , Dim+1 >::Identity();
  	for( int i=0 ; i<Dim ; i++ ) sXForm(i,i) = (Real)(1./scale ) , tXForm(Dim,i) = -center[i];
  	return sXForm * tXForm;
  }
  
  template< class Real , unsigned int Dim >
  XForm< Real , Dim+1 > GetPointXForm( InputPointStream< Real , Dim >& stream , Real width , Real scaleFactor , int& depth )
  {
  	Point< Real , Dim > min , max;
  	stream.boundingBox( min , max );
  	return GetBoundingBoxXForm( min , max , width , scaleFactor , depth );
  }
  template< class Real , unsigned int Dim >
  XForm< Real , Dim+1 > GetPointXForm( InputPointStream< Real , Dim >& stream , Real scaleFactor )
  {
  	Point< Real , Dim > min , max;
  	stream.boundingBox( min , max );
  	return GetBoundingBoxXForm( min , max , scaleFactor );
  }
  
  template< unsigned int Dim , typename Real >
  struct ConstraintDual
  {
  	Real target , weight;
  	ConstraintDual( Real t , Real w ) : target(t) , weight(w){ }
  	CumulativeDerivativeValues< Real , Dim , 0 > operator()( const Point< Real , Dim >& p ) const { return CumulativeDerivativeValues< Real , Dim , 0 >( target*weight ); };
  };
  template< unsigned int Dim , typename Real >
  struct SystemDual
  {
  	Real weight;
  	SystemDual( Real w ) : weight(w){ }
  	CumulativeDerivativeValues< Real , Dim , 0 > operator()( const Point< Real , Dim >& p , const CumulativeDerivativeValues< Real , Dim , 0 >& dValues ) const { return dValues * weight; };
  	CumulativeDerivativeValues< double , Dim , 0 > operator()( const Point< Real , Dim >& p , const CumulativeDerivativeValues< double , Dim , 0 >& dValues ) const { return dValues * weight; };
  };
  template< unsigned int Dim >
  struct SystemDual< Dim , double >
  {
  	typedef double Real;
  	Real weight;
  	SystemDual( Real w ) : weight(w){ }
  	CumulativeDerivativeValues< Real , Dim , 0 > operator()( const Point< Real , Dim >& p , const CumulativeDerivativeValues< Real , Dim , 0 >& dValues ) const { return dValues * weight; };
  };
  
  template< typename Vertex , typename Real , typename SetVertexFunction , unsigned int ... FEMSigs , typename ... SampleData >
  void ExtractMesh( UIntPack< FEMSigs ... > , std::tuple< SampleData ... > , FEMTree< sizeof ... ( FEMSigs ) , Real >& tree , const DenseNodeData< Real , UIntPack< FEMSigs ... > >& solution , Real isoValue , const std::vector< typename FEMTree< sizeof ... ( FEMSigs ) , Real >::PointSample >* samples , std::vector< MultiPointStreamData< Real , PointStreamNormal< Real , DIMENSION > , MultiPointStreamData< Real , SampleData ... > > >* sampleData , const typename FEMTree< sizeof ... ( FEMSigs ) , Real >::template DensityEstimator< WEIGHT_DEGREE >* density , const SetVertexFunction &SetVertex , std::vector< std::string > &comments , XForm< Real , sizeof...(FEMSigs)+1 > iXForm )
  {
  	static const int Dim = sizeof ... ( FEMSigs );
  	typedef UIntPack< FEMSigs ... > Sigs;
  	typedef PointStreamNormal< Real , Dim > NormalPointSampleData;
  	typedef MultiPointStreamData< Real , SampleData ... > AdditionalPointSampleData;
  	typedef MultiPointStreamData< Real , NormalPointSampleData , AdditionalPointSampleData > TotalPointSampleData;
  	static const unsigned int DataSig = FEMDegreeAndBType< DATA_DEGREE , BOUNDARY_FREE >::Signature;
  	typedef typename FEMTree< Dim , Real >::template DensityEstimator< WEIGHT_DEGREE > DensityEstimator;
  
  	FEMTreeProfiler< Dim , Real > profiler( tree );
  
  	char tempHeader[1024];
  	{
  		char tempPath[1024];
  		tempPath[0] = 0;
  		if( TempDir.set ) strcpy( tempPath , TempDir.value );
  		else SetTempDirectory( tempPath , sizeof(tempPath) );
  		if( strlen(tempPath)==0 ) sprintf( tempPath , ".%c" , FileSeparator );
  		if( tempPath[ strlen( tempPath )-1 ]==FileSeparator ) sprintf( tempHeader , "%sPR_" , tempPath );
  		else                                                  sprintf( tempHeader , "%s%cPR_" , tempPath , FileSeparator );
  	}
  	CoredMeshData< Vertex , node_index_type > *mesh;
  	if( InCore.set ) mesh = new CoredVectorMeshData< Vertex , node_index_type >();
  	else             mesh = new CoredFileMeshData< Vertex , node_index_type >( tempHeader );
  
  	profiler.start();
  	typename IsoSurfaceExtractor< Dim , Real , Vertex >::IsoStats isoStats;
  	if( sampleData )
  	{
  		SparseNodeData< ProjectiveData< TotalPointSampleData , Real > , IsotropicUIntPack< Dim , DataSig > > _sampleData = tree.template setMultiDepthDataField< DataSig , false >( *samples , *sampleData , (DensityEstimator*)NULL );
  		for( const RegularTreeNode< Dim , FEMTreeNodeData , depth_and_offset_type >* n = tree.tree().nextNode() ; n ; n=tree.tree().nextNode( n ) )
  		{
  			ProjectiveData< TotalPointSampleData , Real >* clr = _sampleData( n );
  			if( clr ) (*clr) *= (Real)pow( DataX.value , tree.depth( n ) );
  		}
  		isoStats = IsoSurfaceExtractor< Dim , Real , Vertex >::template Extract< TotalPointSampleData >( Sigs() , UIntPack< WEIGHT_DEGREE >() , UIntPack< DataSig >() , tree , density , &_sampleData , solution , isoValue , *mesh , SetVertex , !LinearFit.set , !NonManifold.set , PolygonMesh.set , false );
  	}
  #if defined( __GNUC__ ) && __GNUC__ < 5
  #warning "you've got me gcc version<5"
  	else isoStats = IsoSurfaceExtractor< Dim , Real , Vertex >::template Extract< TotalPointSampleData >( Sigs() , UIntPack< WEIGHT_DEGREE >() , UIntPack< DataSig >() , tree , density , (SparseNodeData< ProjectiveData< TotalPointSampleData , Real > , IsotropicUIntPack< Dim , DataSig > > *)NULL , solution , isoValue , *mesh , SetVertex , !LinearFit.set , !NonManifold.set , PolygonMesh.set , false );
  #else // !__GNUC__ || __GNUC__ >=5
  	else isoStats = IsoSurfaceExtractor< Dim , Real , Vertex >::template Extract< TotalPointSampleData >( Sigs() , UIntPack< WEIGHT_DEGREE >() , UIntPack< DataSig >() , tree , density , NULL , solution , isoValue , *mesh , SetVertex , !LinearFit.set , !NonManifold.set , PolygonMesh.set , false );
  #endif // __GNUC__ || __GNUC__ < 4
  	messageWriter( "Vertices / Polygons: %llu / %llu\n" , (unsigned long long)( mesh->outOfCorePointCount()+mesh->inCorePoints.size() ) , (unsigned long long)mesh->polygonCount() );
  	std::string isoStatsString = isoStats.toString() + std::string( "\n" );
  	messageWriter( isoStatsString.c_str() );
  	if( PolygonMesh.set ) profiler.dumpOutput2( comments , "#         Got polygons:" );
  	else                  profiler.dumpOutput2( comments , "#        Got triangles:" );
  
  	std::vector< std::string > noComments;
  	if( !PlyWritePolygons< Vertex , node_index_type , Real , Dim >( Out.value , mesh , ASCII.set ? PLY_ASCII : PLY_BINARY_NATIVE , NoComments.set ? noComments : comments , iXForm ) )
  		ERROR_OUT( "Could not write mesh to: " , Out.value );
  
  	delete mesh;
  }
  
  template< typename Real , unsigned int Dim >
  void WriteGrid( ConstPointer( Real ) values , int res , const char *fileName )
  {
  	int resolution = 1;
  	for( int d=0 ; d<Dim ; d++ ) resolution *= res;
  
  	char *ext = GetFileExtension( fileName );
  
  	if( Dim==2 && ImageWriter::ValidExtension( ext ) )
  	{
  		Real avg = 0;
  		std::vector< Real > avgs( ThreadPool::NumThreads() , 0 );
  		ThreadPool::Parallel_for( 0 , resolution , [&]( unsigned int thread , size_t i ){ avgs[thread] += values[i]; } );
  		for( unsigned int t=0 ; t<ThreadPool::NumThreads() ; t++ ) avg += avgs[t];
  		avg /= (Real)resolution;
  
  		Real std = 0;
  		std::vector< Real > stds( ThreadPool::NumThreads() , 0 );
  		ThreadPool::Parallel_for( 0 , resolution , [&]( unsigned int thread , size_t i ){ stds[thread] += ( values[i] - avg ) * ( values[i] - avg ); } );
  		for( unsigned int t=0 ; t<ThreadPool::NumThreads() ; t++ ) std += stds[t];
  		std = (Real)sqrt( std / resolution );
  
  		if( Verbose.set ) printf( "Grid to image: [%.2f,%.2f] -> [0,255]\n" , avg - 2*std , avg + 2*std );
  
  		unsigned char *pixels = new unsigned char[ resolution*3 ];
  		ThreadPool::Parallel_for( 0 , resolution , [&]( unsigned int , size_t i )
  		{
  			Real v = (Real)std::min< Real >( (Real)1. , std::max< Real >( (Real)-1. , ( values[i] - avg ) / (2*std ) ) );
  			v = (Real)( ( v + 1. ) / 2. * 256. );
  			unsigned char color = (unsigned char )std::min< Real >( (Real)255. , std::max< Real >( (Real)0. , v ) );
  			for( int c=0 ; c<3 ; c++ ) pixels[i*3+c ] = color;
  		}
  		);
  		ImageWriter::Write( fileName , pixels , res , res , 3 );
  		delete[] pixels;
  	}
  	else
  	{
  
  		FILE *fp = fopen( fileName , "wb" );
  		if( !fp ) ERROR_OUT( "Failed to open grid file for writing: " , fileName );
  		else
  		{
  			fwrite( &res , sizeof(int) , 1 , fp );
  			if( typeid(Real)==typeid(float) ) fwrite( values , sizeof(float) , resolution , fp );
  			else
  			{
  				float *fValues = new float[resolution];
  				for( int i=0 ; i<resolution ; i++ ) fValues[i] = float( values[i] );
  				fwrite( fValues , sizeof(float) , resolution , fp );
  				delete[] fValues;
  			}
  			fclose( fp );
  		}
  	}
  	delete[] ext;
  }
  
  
  template< class Real , typename ... SampleData , unsigned int ... FEMSigs >
  void Execute( int argc , char* argv[] , UIntPack< FEMSigs ... > )
  {
  	static const int Dim = sizeof ... ( FEMSigs );
  	typedef UIntPack< FEMSigs ... > Sigs;
  	typedef UIntPack< FEMSignature< FEMSigs >::Degree ... > Degrees;
  	typedef UIntPack< FEMDegreeAndBType< NORMAL_DEGREE , DerivativeBoundary< FEMSignature< FEMSigs >::BType , 1 >::BType >::Signature ... > NormalSigs;
  	static const unsigned int DataSig = FEMDegreeAndBType< DATA_DEGREE , BOUNDARY_FREE >::Signature;
  	typedef typename FEMTree< Dim , Real >::template DensityEstimator< WEIGHT_DEGREE > DensityEstimator;
  	typedef typename FEMTree< Dim , Real >::template InterpolationInfo< Real , 0 > InterpolationInfo;
  	typedef PointStreamNormal< Real , Dim > NormalPointSampleData;
  	typedef MultiPointStreamData< Real , SampleData ... > AdditionalPointSampleData;
  	typedef MultiPointStreamData< Real , NormalPointSampleData , AdditionalPointSampleData > TotalPointSampleData;
  	typedef InputPointStreamWithData< Real , Dim , TotalPointSampleData > InputPointStream;
  	typedef TransformedInputPointStreamWithData< Real , Dim , TotalPointSampleData > XInputPointStream;
  	std::vector< std::string > comments;
  	messageWriter( comments , "*************************************************************\n" );
  	messageWriter( comments , "*************************************************************\n" );
  	messageWriter( comments , "** Running Screened Poisson Reconstruction (Version %s) **\n" , VERSION );
  	messageWriter( comments , "*************************************************************\n" );
  	messageWriter( comments , "*************************************************************\n" );
  	if( !Threads.set ) messageWriter( comments , "Running with %d threads\n" , Threads.value );
  
  
  	XForm< Real , Dim+1 > xForm , iXForm;
  	if( Transform.set )
  	{
  		FILE* fp = fopen( Transform.value , "r" );
  		if( !fp )
  		{
  			WARN( "Could not read x-form from: " , Transform.value );
  			xForm = XForm< Real , Dim+1 >::Identity();
  		}
  		else
  		{
  			for( int i=0 ; i<Dim+1 ; i++ ) for( int j=0 ; j<Dim+1 ; j++ )
  			{
  				float f;
  				if( fscanf( fp , " %f " , &f )!=1 ) ERROR_OUT( "Failed to read xform" );
  				xForm(i,j) = (Real)f;
  			}
  			fclose( fp );
  		}
  	}
  	else xForm = XForm< Real , Dim+1 >::Identity();
  
  	char str[1024];
  	for( int i=0 ; params[i] ; i++ )
  		if( params[i]->set )
  		{
  			params[i]->writeValue( str );
  			if( strlen( str ) ) messageWriter( comments , "\t--%s %s\n" , params[i]->name , str );
  			else                messageWriter( comments , "\t--%s\n" , params[i]->name );
  		}
  
  	double startTime = Time();
  	Real isoValue = 0;
  
  	FEMTree< Dim , Real > tree( MEMORY_ALLOCATOR_BLOCK_SIZE );
  	FEMTreeProfiler< Dim , Real > profiler( tree );
  
  	if( Depth.set && Width.value>0 )
  	{
  		WARN( "Both --" , Depth.name  , " and --" , Width.name , " set, ignoring --" , Width.name );
  		Width.value = 0;
  	}
  
  	size_t pointCount;
  
  	Real pointWeightSum;
  	std::vector< typename FEMTree< Dim , Real >::PointSample >* samples = new std::vector< typename FEMTree< Dim , Real >::PointSample >();
  	std::vector< TotalPointSampleData >* sampleData = NULL;
  	DensityEstimator* density = NULL;
  	SparseNodeData< Point< Real , Dim > , NormalSigs >* normalInfo = NULL;
  	Real targetValue = (Real)0.5;
  
  	// Read in the samples (and color data)
  	{
  		profiler.start();
  		InputPointStream* pointStream;
  		char* ext = GetFileExtension( In.value );
  		sampleData = new std::vector< TotalPointSampleData >();
  		std::vector< std::pair< Point< Real , Dim > , TotalPointSampleData > > inCorePoints;
  		if( InCore.set )
  		{
  			InputPointStream *_pointStream;
  			if     ( !strcasecmp( ext , "bnpts" ) ) _pointStream = new BinaryInputPointStreamWithData< Real , Dim , TotalPointSampleData >( In.value , TotalPointSampleData::ReadBinary );
  			else if( !strcasecmp( ext , "ply"   ) ) _pointStream = new    PLYInputPointStreamWithData< Real , Dim , TotalPointSampleData >( In.value , TotalPointSampleData::PlyReadProperties() , TotalPointSampleData::PlyReadNum , TotalPointSampleData::ValidPlyReadProperties );
  			else                                    _pointStream = new  ASCIIInputPointStreamWithData< Real , Dim , TotalPointSampleData >( In.value , TotalPointSampleData::ReadASCII );
  			Point< Real , Dim > p;
  			TotalPointSampleData d;
  			while( _pointStream->nextPoint( p , d ) ) inCorePoints.push_back( std::pair< Point< Real , Dim > , TotalPointSampleData >( p , d ) );
  			delete _pointStream;
  
  			pointStream = new MemoryInputPointStreamWithData< Real , Dim , TotalPointSampleData >( inCorePoints.size() , &inCorePoints[0] );
  		}
  		else
  		{
  			if     ( !strcasecmp( ext , "bnpts" ) ) pointStream = new BinaryInputPointStreamWithData< Real , Dim , TotalPointSampleData >( In.value , TotalPointSampleData::ReadBinary );
  			else if( !strcasecmp( ext , "ply"   ) ) pointStream = new    PLYInputPointStreamWithData< Real , Dim , TotalPointSampleData >( In.value , TotalPointSampleData::PlyReadProperties() , TotalPointSampleData::PlyReadNum , TotalPointSampleData::ValidPlyReadProperties );
  			else                                    pointStream = new  ASCIIInputPointStreamWithData< Real , Dim , TotalPointSampleData >( In.value , TotalPointSampleData::ReadASCII );
  		}
  		delete[] ext;
  		typename TotalPointSampleData::Transform _xForm( xForm );
  		XInputPointStream _pointStream( [&]( Point< Real , Dim >& p , TotalPointSampleData& d ){ p = xForm*p , d = _xForm(d); } , *pointStream );
  		if( Width.value>0 ) xForm = GetPointXForm< Real , Dim >( _pointStream , Width.value , (Real)( Scale.value>0 ? Scale.value : 1. ) , Depth.value ) * xForm;
  		else                xForm = Scale.value>0 ? GetPointXForm< Real , Dim >( _pointStream , (Real)Scale.value ) * xForm : xForm;
  		{
  			typename TotalPointSampleData::Transform _xForm( xForm );
  			XInputPointStream _pointStream( [&]( Point< Real , Dim >& p , TotalPointSampleData& d ){ p = xForm*p , d = _xForm(d); } , *pointStream );
  			auto ProcessDataWithConfidence = [&]( const Point< Real , Dim >& p , TotalPointSampleData& d )
  			{
  				Real l = (Real)Length( d.template data<0>() );
  				if( !l || l!=l ) return (Real)-1.;
  				return (Real)pow( l , Confidence.value );
  			};
  			auto ProcessData = []( const Point< Real , Dim >& p , TotalPointSampleData& d )
  			{
  				Real l = (Real)Length( d.template data<0>() );
  				if( !l || l!=l ) return (Real)-1.;
  				d.template data<0>() /= l;
  				return (Real)1.;
  			};
  			if( Confidence.value>0 ) pointCount = FEMTreeInitializer< Dim , Real >::template Initialize< TotalPointSampleData >( tree.spaceRoot() , _pointStream , Depth.value , *samples , *sampleData , true , tree.nodeAllocators[0] , tree.initializer() , ProcessDataWithConfidence );
  			else                     pointCount = FEMTreeInitializer< Dim , Real >::template Initialize< TotalPointSampleData >( tree.spaceRoot() , _pointStream , Depth.value , *samples , *sampleData , true , tree.nodeAllocators[0] , tree.initializer() , ProcessData );
  		}
  		iXForm = xForm.inverse();
  		delete pointStream;
  
  		messageWriter( "Input Points / Samples: %llu / %llu\n" , (unsigned long long)pointCount , (unsigned long long)samples->size() );
  		profiler.dumpOutput2( comments , "# Read input into tree:" );
  	}
  	int kernelDepth = KernelDepth.set ? KernelDepth.value : Depth.value-2;
  	if( kernelDepth>Depth.value )
  	{
  		WARN( KernelDepth.name , " can't be greater than " , Depth.name , ": " , KernelDepth.value , " <= " , Depth.value );
  		kernelDepth = Depth.value;
  	}
  
  	DenseNodeData< Real , Sigs > solution;
  	{
  		DenseNodeData< Real , Sigs > constraints;
  		InterpolationInfo* iInfo = NULL;
  		int solveDepth = Depth.value;
  
  		tree.resetNodeIndices();
  
  		// Get the kernel density estimator
  		{
  			profiler.start();
  			density = tree.template setDensityEstimator< WEIGHT_DEGREE >( *samples , kernelDepth , SamplesPerNode.value , 1 );
  			profiler.dumpOutput2( comments , "#   Got kernel density:" );
  		}
  
  		// Transform the Hermite samples into a vector field
  		{
  			profiler.start();
  			normalInfo = new SparseNodeData< Point< Real , Dim > , NormalSigs >();
  			std::function< bool ( TotalPointSampleData , Point< Real , Dim >& ) > ConversionFunction = []( TotalPointSampleData in , Point< Real , Dim > &out )
  			{
  				Point< Real , Dim > n = in.template data<0>();
  				Real l = (Real)Length( n );
  				// It is possible that the samples have non-zero normals but there are two co-located samples with negative normals...
  				if( !l ) return false;
  				out = n / l;
  				return true;
  			};
  			std::function< bool ( TotalPointSampleData , Point< Real , Dim >& , Real & ) > ConversionAndBiasFunction = []( TotalPointSampleData in , Point< Real , Dim > &out , Real &bias )
  			{
  				Point< Real , Dim > n = in.template data<0>();
  				Real l = (Real)Length( n );
  				// It is possible that the samples have non-zero normals but there are two co-located samples with negative normals...
  				if( !l ) return false;
  				out = n / l;
  				bias = (Real)( log( l ) * ConfidenceBias.value / log( 1<<(Dim-1) ) );
  				return true;
  			};
  			if( ConfidenceBias.value>0 ) *normalInfo = tree.setDataField( NormalSigs() , *samples , *sampleData , density , pointWeightSum , ConversionAndBiasFunction );
  			else                         *normalInfo = tree.setDataField( NormalSigs() , *samples , *sampleData , density , pointWeightSum , ConversionFunction );			ThreadPool::Parallel_for( 0 , normalInfo->size() , [&]( unsigned int , size_t i ){ (*normalInfo)[i] *= (Real)-1.; } );
  			profiler.dumpOutput2( comments , "#     Got normal field:" );
  			messageWriter( "Point weight / Estimated Area: %g / %g\n" , pointWeightSum , pointCount*pointWeightSum );
  		}
  
  
  		if( !Density.set ) delete density , density = NULL;
  		if( DataX.value<=0 || ( !Colors.set && !Normals.set ) ) delete sampleData , sampleData = NULL;
  
  		// Trim the tree and prepare for multigrid
  		{
  			profiler.start();
  			constexpr int MAX_DEGREE = NORMAL_DEGREE > Degrees::Max() ? NORMAL_DEGREE : Degrees::Max();
  			tree.template finalizeForMultigrid< MAX_DEGREE >( FullDepth.value , typename FEMTree< Dim , Real >::template HasNormalDataFunctor< NormalSigs >( *normalInfo ) , normalInfo , density );
  			profiler.dumpOutput2( comments , "#       Finalized tree:" );
  		}
  		// Add the FEM constraints
  		{
  			profiler.start();
  			constraints = tree.initDenseNodeData( Sigs() );
  			typename FEMIntegrator::template Constraint< Sigs , IsotropicUIntPack< Dim , 1 > , NormalSigs , IsotropicUIntPack< Dim , 0 > , Dim > F;
  			unsigned int derivatives2[Dim];
  			for( int d=0 ; d<Dim ; d++ ) derivatives2[d] = 0;
  			typedef IsotropicUIntPack< Dim , 1 > Derivatives1;
  			typedef IsotropicUIntPack< Dim , 0 > Derivatives2;
  			for( int d=0 ; d<Dim ; d++ )
  			{
  				unsigned int derivatives1[Dim];
  				for( int dd=0 ; dd<Dim ; dd++ ) derivatives1[dd] = dd==d ?  1 : 0;
  				F.weights[d][ TensorDerivatives< Derivatives1 >::Index( derivatives1 ) ][ TensorDerivatives< Derivatives2 >::Index( derivatives2 ) ] = 1;
  			}
  			tree.addFEMConstraints( F , *normalInfo , constraints , solveDepth );
  			profiler.dumpOutput2( comments , "#  Set FEM constraints:" );
  		}
  
  		// Free up the normal info
  		delete normalInfo , normalInfo = NULL;
  
  		// Add the interpolation constraints
  		if( PointWeight.value>0 )
  		{
  			profiler.start();
  			if( ExactInterpolation.set ) iInfo = FEMTree< Dim , Real >::template       InitializeExactPointInterpolationInfo< Real , 0 > ( tree , *samples , ConstraintDual< Dim , Real >( targetValue , (Real)PointWeight.value * pointWeightSum ) , SystemDual< Dim , Real >( (Real)PointWeight.value * pointWeightSum ) , true , false );
  			else                         iInfo = FEMTree< Dim , Real >::template InitializeApproximatePointInterpolationInfo< Real , 0 > ( tree , *samples , ConstraintDual< Dim , Real >( targetValue , (Real)PointWeight.value * pointWeightSum ) , SystemDual< Dim , Real >( (Real)PointWeight.value * pointWeightSum ) , true , 1 );
  			tree.addInterpolationConstraints( constraints , solveDepth , *iInfo );
  			profiler.dumpOutput2( comments , "#Set point constraints:" );
  		}
  
  		messageWriter( "Leaf Nodes / Active Nodes / Ghost Nodes: %llu / %llu / %llu\n" , (unsigned long long)tree.leaves() , (unsigned long long)tree.nodes() , (unsigned long long)tree.ghostNodes() );
  		messageWriter( "Memory Usage: %.3f MB\n" , float( MemoryInfo::Usage())/(1<<20) );
  		
  		// Solve the linear system
  		{
  			profiler.start();
  			typename FEMTree< Dim , Real >::SolverInfo sInfo;
  			sInfo.cgDepth = 0 , sInfo.cascadic = true , sInfo.vCycles = 1 , sInfo.iters = Iters.value , sInfo.cgAccuracy = CGSolverAccuracy.value , sInfo.verbose = Verbose.set , sInfo.showResidual = ShowResidual.set , sInfo.showGlobalResidual = SHOW_GLOBAL_RESIDUAL_NONE , sInfo.sliceBlockSize = 1;
  			sInfo.baseDepth = BaseDepth.value , sInfo.baseVCycles = BaseVCycles.value;
  			typename FEMIntegrator::template System< Sigs , IsotropicUIntPack< Dim , 1 > > F( { 0. , 1. } );
  			solution = tree.solveSystem( Sigs() , F , constraints , solveDepth , sInfo , iInfo );
  			profiler.dumpOutput2( comments , "# Linear system solved:" );
  			if( iInfo ) delete iInfo , iInfo = NULL;
  		}
  	}
  
  	{
  		profiler.start();
  		double valueSum = 0 , weightSum = 0;
  		typename FEMTree< Dim , Real >::template MultiThreadedEvaluator< Sigs , 0 > evaluator( &tree , solution );
  		std::vector< double > valueSums( ThreadPool::NumThreads() , 0 ) , weightSums( ThreadPool::NumThreads() , 0 );
  		ThreadPool::Parallel_for( 0 , samples->size() , [&]( unsigned int thread , size_t j )
  		{
  			ProjectiveData< Point< Real , Dim > , Real >& sample = (*samples)[j].sample;
  			Real w = sample.weight;
  			if( w>0 ) weightSums[thread] += w , valueSums[thread] += evaluator.values( sample.data / sample.weight , thread , (*samples)[j].node )[0] * w;
  		}
  		);
  		for( size_t t=0 ; t<valueSums.size() ; t++ ) valueSum += valueSums[t] , weightSum += weightSums[t];
  		isoValue = (Real)( valueSum / weightSum );
  		if( DataX.value<=0 || ( !Colors.set && !Normals.set ) ) delete samples , samples = NULL;
  		profiler.dumpOutput( "Got average:" );
  		messageWriter( "Iso-Value: %e = %g / %g\n" , isoValue , valueSum , weightSum );
  	}
  	if( Tree.set )
  	{
  		FILE* fp = fopen( Tree.value , "wb" );
  		if( !fp ) ERROR_OUT( "Failed to open file for writing: " , Tree.value );
  		FEMTree< Dim , Real >::WriteParameter( fp );
  		DenseNodeData< Real , Sigs >::WriteSignatures( fp );
  		tree.write( fp , xForm );
  		solution.write( fp );
  		fclose( fp );
  	}
  
  	if( Grid.set )
  	{
  		int res = 0;
  		profiler.start();
  		Pointer( Real ) values = tree.template regularGridEvaluate< true >( solution , res , -1 , PrimalGrid.set );
  		size_t resolution = 1;
  		for( int d=0 ; d<Dim ; d++ ) resolution *= res;
  		ThreadPool::Parallel_for( 0 , resolution , [&]( unsigned int , size_t i ){ values[i] -= isoValue; } );
  		profiler.dumpOutput( "Got grid:" );
  		WriteGrid< Real , DIMENSION >( values , res , Grid.value );
  		DeletePointer( values );
  		if( Verbose.set )
  		{
  			printf( "Transform:\n" );
  			for( int i=0 ; i<Dim+1 ; i++ )
  			{
  				printf( "\t" );
  				for( int j=0 ; j<Dim+1 ; j++ ) printf( " %f" , iXForm(j,i) );
  				printf( "\n" );
  			}
  		}
  	}
  
  	if( Out.set )
  	{
  		if( Normals.set )
  		{
  			if( Density.set )
  			{
  				typedef PlyVertexWithData< Real , Dim , MultiPointStreamData< Real , PointStreamNormal< Real , Dim > , PointStreamValue< Real > , AdditionalPointSampleData > > Vertex;
  				auto SetVertex = []( Vertex& v , Point< Real , Dim > p , Real w , TotalPointSampleData d ){ v.point = p , v.data.template data<0>() = d.template data<0>() , v.data.template data<1>() = w , v.data.template data<2>() = d.template data<1>(); };
  				ExtractMesh< Vertex >( UIntPack< FEMSigs ... >() , std::tuple< SampleData ... >() , tree , solution , isoValue , samples , sampleData , density , SetVertex , comments , iXForm );
  			}
  			else
  			{
  				typedef PlyVertexWithData< Real , Dim , MultiPointStreamData< Real , PointStreamNormal< Real , Dim > , AdditionalPointSampleData > > Vertex;
  				auto SetVertex = []( Vertex& v , Point< Real , Dim > p , Real w , TotalPointSampleData d ){ v.point = p , v.data.template data<0>() = d.template data<0>() , v.data.template data<1>() = d.template data<1>(); };
  				ExtractMesh< Vertex >( UIntPack< FEMSigs ... >() , std::tuple< SampleData ... >() , tree , solution , isoValue , samples , sampleData , density , SetVertex , comments , iXForm );
  			}
  		}
  		else
  		{
  			if( Density.set )
  			{
  				typedef PlyVertexWithData< Real , Dim , MultiPointStreamData< Real , PointStreamValue< Real > , AdditionalPointSampleData > > Vertex;
  				std::function< void ( Vertex& , Point< Real , Dim > , Real , TotalPointSampleData ) > SetVertex = []( Vertex& v , Point< Real , Dim > p , Real w , TotalPointSampleData d ){ v.point = p , v.data.template data<0>() = w , v.data.template data<1>() = d.template data<1>(); };
  				ExtractMesh< Vertex >( UIntPack< FEMSigs ... >() , std::tuple< SampleData ... >() , tree , solution , isoValue , samples , sampleData , density , SetVertex , comments , iXForm );
  			}
  			else
  			{
  				typedef PlyVertexWithData< Real , Dim , MultiPointStreamData< Real , AdditionalPointSampleData > > Vertex;
  				auto SetVertex = []( Vertex& v , Point< Real , Dim > p , Real w , TotalPointSampleData d ){ v.point = p , v.data.template data<0>() = d.template data<1>(); };
  				ExtractMesh< Vertex >( UIntPack< FEMSigs ... >() , std::tuple< SampleData ... >() , tree , solution , isoValue , samples , sampleData , density , SetVertex , comments , iXForm );
  			}
  		}
  		if( sampleData ){ delete sampleData ; sampleData = NULL; }
  	}
  	if( density ) delete density , density = NULL;
  	messageWriter( comments , "#          Total Solve: %9.1f (s), %9.1f (MB)\n" , Time()-startTime , FEMTree< Dim , Real >::MaxMemoryUsage() );
  }
  
  #ifndef FAST_COMPILE
  template< unsigned int Dim , class Real , typename ... SampleData >
  void Execute( int argc , char* argv[] )
  {
  	switch( BType.value )
  	{
  		case BOUNDARY_FREE+1:
  		{
  			switch( Degree.value )
  			{
  				case 1: return Execute< Real , SampleData ... >( argc , argv , IsotropicUIntPack< Dim , FEMDegreeAndBType< 1 , BOUNDARY_FREE >::Signature >() );
  				case 2: return Execute< Real , SampleData ... >( argc , argv , IsotropicUIntPack< Dim , FEMDegreeAndBType< 2 , BOUNDARY_FREE >::Signature >() );
  //				case 3: return Execute< Real , SampleData ... >( argc , argv , IsotropicUIntPack< Dim , FEMDegreeAndBType< 3 , BOUNDARY_FREE >::Signature >() );
  //				case 4: return Execute< Real , SampleData ... >( argc , argv , IsotropicUIntPack< Dim , FEMDegreeAndBType< 4 , BOUNDARY_FREE >::Signature >() );
  				default: ERROR_OUT( "Only B-Splines of degree 1 - 2 are supported" );
  			}
  		}
  		case BOUNDARY_NEUMANN+1:
  		{
  			switch( Degree.value )
  			{
  				case 1: return Execute< Real , SampleData ... >( argc , argv , IsotropicUIntPack< Dim , FEMDegreeAndBType< 1 , BOUNDARY_NEUMANN >::Signature >() );
  				case 2: return Execute< Real , SampleData ... >( argc , argv , IsotropicUIntPack< Dim , FEMDegreeAndBType< 2 , BOUNDARY_NEUMANN >::Signature >() );
  //				case 3: return Execute< Real , SampleData ... >( argc , argv , IsotropicUIntPack< Dim , FEMDegreeAndBType< 3 , BOUNDARY_NEUMANN >::Signature >() );
  //				case 4: return Execute< Real , SampleData ... >( argc , argv , IsotropicUIntPack< Dim , FEMDegreeAndBType< 4 , BOUNDARY_NEUMANN >::Signature >() );
  				default: ERROR_OUT( "Only B-Splines of degree 1 - 2 are supported" );
  			}
  		}
  		case BOUNDARY_DIRICHLET+1:
  		{
  			switch( Degree.value )
  			{
  			case 1: return Execute< Real , SampleData ... >( argc , argv , IsotropicUIntPack< Dim , FEMDegreeAndBType< 1 , BOUNDARY_DIRICHLET >::Signature >() );
  			case 2: return Execute< Real , SampleData ... >( argc , argv , IsotropicUIntPack< Dim , FEMDegreeAndBType< 2 , BOUNDARY_DIRICHLET >::Signature >() );
  //			case 3: return Execute< Real , SampleData ... >( argc , argv , IsotropicUIntPack< Dim , FEMDegreeAndBType< 3 , BOUNDARY_DIRICHLET >::Signature >() );
  //			case 4: return Execute< Real , SampleData ... >( argc , argv , IsotropicUIntPack< Dim , FEMDegreeAndBType< 4 , BOUNDARY_DIRICHLET >::Signature >() );
  			default: ERROR_OUT( "Only B-Splines of degree 1 - 2 are supported" );
  			}
  		}
  		default: ERROR_OUT( "Not a valid boundary type: %d" , BType.value );
  	}
  }
  #endif // !FAST_COMPILE
  
  int main( int argc , char* argv[] )
  {
  	Timer timer;
  #ifdef USE_SEG_FAULT_HANDLER
  	WARN( "using seg-fault handler" );
  	StackTracer::exec = argv[0];
  	signal( SIGSEGV , SignalHandler );
  #endif // USE_SEG_FAULT_HANDLER
  #ifdef ARRAY_DEBUG
  	WARN( "Array debugging enabled" );
  #endif // ARRAY_DEBUG
  	cmdLineParse( argc-1 , &argv[1] , params );
  	if( MaxMemoryGB.value>0 ) SetPeakMemoryMB( MaxMemoryGB.value<<10 );
  	ThreadPool::DefaultChunkSize = ThreadChunkSize.value;
  	ThreadPool::DefaultSchedule = (ThreadPool::ScheduleType)ScheduleType.value;
  	ThreadPool::Init( (ThreadPool::ParallelType)ParallelType.value , Threads.value );
  
  	messageWriter.echoSTDOUT = Verbose.set;
  	if( !In.set )
  	{
  		ShowUsage( argv[0] );
  		return 0;
  	}
  	if( DataX.value<=0 ) Normals.set = Colors.set = false;
  	if( BaseDepth.value>FullDepth.value )
  	{
  		if( BaseDepth.set ) WARN( "Base depth must be smaller than full depth: " , BaseDepth.value , " <= " , FullDepth.value );
  		BaseDepth.value = FullDepth.value;
  	}
  
  #ifdef USE_DOUBLE
  	typedef double Real;
  #else // !USE_DOUBLE
  	typedef float  Real;
  #endif // USE_DOUBLE
  
  #ifdef FAST_COMPILE
  	static const int Degree = DEFAULT_FEM_DEGREE;
  	static const BoundaryType BType = DEFAULT_FEM_BOUNDARY;
  	typedef IsotropicUIntPack< DIMENSION , FEMDegreeAndBType< Degree , BType >::Signature > FEMSigs;
  	WARN( "Compiled for degree-" , Degree , ", boundary-" , BoundaryNames[ BType ] , ", " , sizeof(Real)==4 ? "single" : "double" , "-precision _only_" );
  	if( !PointWeight.set ) PointWeight.value = DefaultPointWeightMultiplier*Degree;
  	if( Colors.set ) Execute< Real , PointStreamColor< Real > >( argc , argv , FEMSigs() );
  	else             Execute< Real >( argc , argv , FEMSigs() );
  #else // !FAST_COMPILE
  	if( !PointWeight.set ) PointWeight.value = DefaultPointWeightMultiplier*Degree.value;
  	if( Colors.set ) Execute< DIMENSION , Real , PointStreamColor< float > >( argc , argv );
  	else             Execute< DIMENSION , Real >( argc , argv );
  #endif // FAST_COMPILE
  	if( Performance.set )
  	{
  		printf( "Time (Wall/CPU): %.2f / %.2f\n" , timer.wallTime() , timer.cpuTime() );
  		printf( "Peak Memory (MB): %d\n" , MemoryInfo::PeakMemoryUsageMB() );
  	}
  
  	ThreadPool::Terminate();
  	return EXIT_SUCCESS;
  }
  