Commit c0fb7beb authored by Pierre Kraemer's avatar Pierre Kraemer

generic laplacian computation + cotangent weights

parent 3ea0e63a
......@@ -103,7 +103,7 @@ typename PFP::REAL vertexVoronoiArea(typename PFP::MAP& map, Dart d, const typen
Dart it = d ;
do
{
area += convexFaceArea<PFP>(map, it, position) ;
area += convexFaceArea<PFP>(map, it, position) / 3 ;
it = map.alpha1(it) ;
} while(it != d) ;
return area ;
......
......@@ -40,34 +40,34 @@ namespace Algo
namespace Geometry
{
template <typename PFP>
typename PFP::VEC3 computeLaplacianTopoVertex(
template <typename PFP, typename ATTR_TYPE>
ATTR_TYPE computeLaplacianTopoVertex(
typename PFP::MAP& map,
Dart d,
const typename PFP::TVEC3& position) ;
const AttributeHandler<ATTR_TYPE>& attr) ;
template <typename PFP>
typename PFP::VEC3 computeLaplacianCotanVertex(
template <typename PFP, typename ATTR_TYPE>
ATTR_TYPE computeLaplacianCotanVertex(
typename PFP::MAP& map,
Dart d,
const typename PFP::TVEC3& position,
const typename PFP::TREAL& edgeWeight,
const typename PFP::TREAL& vertexArea) ;
const typename PFP::TREAL& vertexArea,
const AttributeHandler<ATTR_TYPE>& attr) ;
template <typename PFP>
template <typename PFP, typename ATTR_TYPE>
void computeLaplacianTopoVertices(
typename PFP::MAP& map,
const typename PFP::TVEC3& position,
typename PFP::TVEC3& laplacian,
const AttributeHandler<ATTR_TYPE>& attr,
AttributeHandler<ATTR_TYPE>& laplacian,
const FunctorSelect& select = SelectorTrue()) ;
template <typename PFP>
template <typename PFP, typename ATTR_TYPE>
void computeLaplacianCotanVertices(
typename PFP::MAP& map,
const typename PFP::TVEC3& position,
const typename PFP::TREAL& edgeWeight,
const typename PFP::TREAL& vertexArea,
typename PFP::TVEC3& laplacian,
const AttributeHandler<ATTR_TYPE>& attr,
AttributeHandler<ATTR_TYPE>& laplacian,
const FunctorSelect& select = SelectorTrue()) ;
template <typename PFP>
......
......@@ -33,45 +33,42 @@ namespace Algo
namespace Geometry
{
template <typename PFP>
typename PFP::VEC3 computeLaplacianTopoVertex(
template <typename PFP, typename ATTR_TYPE>
ATTR_TYPE computeLaplacianTopoVertex(
typename PFP::MAP& map,
Dart d,
const typename PFP::TVEC3& position)
const AttributeHandler<ATTR_TYPE>& attr)
{
typedef typename PFP::VEC3 VEC3 ;
VEC3 l(0) ;
ATTR_TYPE l(0) ;
unsigned int val = 0 ;
Dart dd = d ;
Dart it = d ;
do
{
l += vectorOutOfDart<PFP>(map, dd, position) ;
l += attr[map.phi1(it)] - attr[it] ;
val++ ;
dd = map.alpha1(dd) ;
} while(dd != d) ;
it = map.alpha1(it) ;
} while(it != d) ;
l /= val ;
return l ;
}
template <typename PFP>
typename PFP::VEC3 computeLaplacianCotanVertex(
template <typename PFP, typename ATTR_TYPE>
ATTR_TYPE computeLaplacianCotanVertex(
typename PFP::MAP& map,
Dart d,
const typename PFP::TVEC3& position,
const typename PFP::TREAL& edgeWeight,
const typename PFP::TREAL& vertexArea)
const typename PFP::TREAL& vertexArea,
const AttributeHandler<ATTR_TYPE>& attr)
{
typedef typename PFP::VEC3 VEC3 ;
typedef typename PFP::REAL REAL ;
VEC3 l(0) ;
ATTR_TYPE l(0) ;
Dart it = d ;
REAL vArea = vertexArea[d] ;
REAL val = 0 ;
do
{
REAL w = edgeWeight[it] / vArea ;
VEC3 v = vectorOutOfDart<PFP>(map, it, position) * w ;
l += v ;
l += (attr[map.phi1(it)] - attr[it]) * w ;
val += w ;
it = map.alpha1(it) ;
} while(it != d) ;
......@@ -79,12 +76,12 @@ typename PFP::VEC3 computeLaplacianCotanVertex(
return l ;
}
template <typename PFP>
template <typename PFP, typename ATTR_TYPE>
void computeLaplacianTopoVertices(
typename PFP::MAP& map,
const typename PFP::TVEC3& position,
typename PFP::TVEC3& laplacian,
const FunctorSelect& select)
typename PFP::MAP& map,
const AttributeHandler<ATTR_TYPE>& attr,
AttributeHandler<ATTR_TYPE>& laplacian,
const FunctorSelect& select)
{
CellMarker marker(map, VERTEX);
for(Dart d = map.begin(); d != map.end(); map.next(d))
......@@ -92,19 +89,19 @@ void computeLaplacianTopoVertices(
if(select(d) && !marker.isMarked(d))
{
marker.mark(d);
laplacian[d] = computeLaplacianTopoVertex<PFP>(map, d, position) ;
laplacian[d] = computeLaplacianTopoVertex<PFP, ATTR_TYPE>(map, d, attr) ;
}
}
}
template <typename PFP>
template <typename PFP, typename ATTR_TYPE>
void computeLaplacianCotanVertices(
typename PFP::MAP& map,
const typename PFP::TVEC3& position,
const typename PFP::TREAL& edgeWeight,
const typename PFP::TREAL& vertexArea,
typename PFP::TVEC3& laplacian,
const FunctorSelect& select)
typename PFP::MAP& map,
const typename PFP::TREAL& edgeWeight,
const typename PFP::TREAL& vertexArea,
const AttributeHandler<ATTR_TYPE>& attr,
AttributeHandler<ATTR_TYPE>& laplacian,
const FunctorSelect& select)
{
CellMarker marker(map, VERTEX);
for(Dart d = map.begin(); d != map.end(); map.next(d))
......@@ -112,7 +109,7 @@ void computeLaplacianCotanVertices(
if(select(d) && !marker.isMarked(d))
{
marker.mark(d);
laplacian[d] = computeLaplacianCotanVertex<PFP>(map, d, position, edgeWeight, vertexArea) ;
laplacian[d] = computeLaplacianCotanVertex<PFP, ATTR_TYPE>(map, d, edgeWeight, vertexArea, attr) ;
}
}
}
......
......@@ -26,6 +26,7 @@
#define __LINEAR_SOLVING_BASIC__
#include "OpenNL/linear_solver.h"
#include "Algo/LinearSolving/variablesSetup.h"
#include "Algo/LinearSolving/matrixSetup.h"
namespace CGoGN
......@@ -34,112 +35,9 @@ namespace CGoGN
namespace LinearSolving
{
template <typename PFP, typename ATTR_TYPE, class SOLVER_TRAITS>
class FunctorMeshToSolver_Scalar : public FunctorMap<typename PFP::MAP>
{
protected:
LinearSolver<SOLVER_TRAITS>* solver ;
CellMarker& lockingMarker ;
const AttributeHandler<ATTR_TYPE>& attrTable ;
const AttributeHandler<unsigned int>& indexTable ;
bool lockedVertices ;
public:
typedef typename PFP::MAP MAP ;
FunctorMeshToSolver_Scalar(MAP& m, LinearSolver<SOLVER_TRAITS>* s, CellMarker& lm, const AttributeHandler<ATTR_TYPE>& attr, const AttributeHandler<unsigned int> index) :
FunctorMap<MAP>(m), solver(s), lockingMarker(lm), attrTable(attr), indexTable(index), lockedVertices(false)
{}
bool operator()(Dart d)
{
solver->variable(indexTable[d]).set_value(attrTable[d]) ;
if(lockingMarker.isMarked(d))
{
solver->variable(indexTable[d]).lock() ;
lockedVertices = true ;
}
return false ;
}
bool hasLockedVertices() { return lockedVertices ; }
} ;
template <typename PFP, typename ATTR_TYPE, class SOLVER_TRAITS>
class FunctorMeshToSolver_Vector : public FunctorMap<typename PFP::MAP>
{
protected:
LinearSolver<SOLVER_TRAITS>* solver ;
CellMarker& lockingMarker ;
const AttributeHandler<ATTR_TYPE>& attrTable ;
const AttributeHandler<unsigned int>& indexTable ;
unsigned int coord ;
bool lockedVertices ;
public:
typedef typename PFP::MAP MAP ;
FunctorMeshToSolver_Vector(MAP& m, LinearSolver<SOLVER_TRAITS>* s, CellMarker& lm, const AttributeHandler<ATTR_TYPE>& attr, unsigned int c, const AttributeHandler<unsigned int> index) :
FunctorMap<MAP>(m), solver(s), lockingMarker(lm), attrTable(attr), indexTable(index), coord(c), lockedVertices(false)
{}
bool operator()(Dart d)
{
solver->variable(indexTable[d]).set_value((attrTable[d])[coord]) ;
if(lockingMarker.isMarked(d))
{
solver->variable(indexTable[d]).lock() ;
lockedVertices = true ;
}
return false ;
}
bool hasLockedVertices() { return lockedVertices ; }
} ;
template <typename PFP, typename ATTR_TYPE, class SOLVER_TRAITS>
class FunctorSolverToMesh_Scalar : public FunctorMap<typename PFP::MAP>
{
protected:
LinearSolver<SOLVER_TRAITS>* solver ;
AttributeHandler<ATTR_TYPE>& attrTable ;
const AttributeHandler<unsigned int>& indexTable ;
public:
typedef typename PFP::MAP MAP ;
FunctorSolverToMesh_Scalar(MAP& m, LinearSolver<SOLVER_TRAITS>* s, AttributeHandler<ATTR_TYPE>& attr, const AttributeHandler<unsigned int> index) :
FunctorMap<MAP>(m), solver(s), attrTable(attr), indexTable(index)
{}
bool operator()(Dart d)
{
attrTable[d] = solver->variable(indexTable[d]).value() ;
return false ;
}
} ;
template <typename PFP, typename ATTR_TYPE, class SOLVER_TRAITS>
class FunctorSolverToMesh_Vector : public FunctorMap<typename PFP::MAP>
{
protected:
LinearSolver<SOLVER_TRAITS>* solver ;
AttributeHandler<ATTR_TYPE>& attrTable ;
const AttributeHandler<unsigned int>& indexTable ;
unsigned int coord ;
public:
typedef typename PFP::MAP MAP ;
FunctorSolverToMesh_Vector(MAP& m, LinearSolver<SOLVER_TRAITS>* s, AttributeHandler<ATTR_TYPE>& attr, unsigned int c, const AttributeHandler<unsigned int> index) :
FunctorMap<MAP>(m), solver(s), attrTable(attr), indexTable(index), coord(c)
{}
bool operator()(Dart d)
{
(attrTable[d])[coord] = solver->variable(indexTable[d]).value() ;
return false ;
}
} ;
/*******************************************************************************
* SOLVER INIT
*******************************************************************************/
template <class SOLVER_TRAITS>
void initSolver(LinearSolver<SOLVER_TRAITS>* s, unsigned int nb_variables, bool least_squares, bool direct)
......@@ -159,81 +57,208 @@ void initSolver(LinearSolver<SOLVER_TRAITS>* s, unsigned int nb_variables, bool
s->set_direct(direct) ;
}
/*******************************************************************************
* VARIABLES SETUP
*******************************************************************************/
template <typename PFP, typename ATTR_TYPE, class SOLVER_TRAITS>
void setupVariables(typename PFP::MAP& m, LinearSolver<SOLVER_TRAITS>* s, CellMarker& lm, const AttributeHandler<ATTR_TYPE>& attr, const AttributeHandler<unsigned int> index)
void setupVariables(
typename PFP::MAP& m,
LinearSolver<SOLVER_TRAITS>* s,
const AttributeHandler<unsigned int> index,
CellMarker& lm,
const AttributeHandler<ATTR_TYPE>& attr)
{
FunctorMeshToSolver_Scalar<PFP, ATTR_TYPE, SOLVER_TRAITS> fmts(m, s, lm, attr, index) ;
FunctorMeshToSolver_Scalar<PFP, ATTR_TYPE, SOLVER_TRAITS> fmts(s, index, lm, attr) ;
m.foreach_orbit(VERTEX, fmts) ;
}
template <typename PFP, typename ATTR_TYPE, class SOLVER_TRAITS>
void setupVariables(typename PFP::MAP& m, LinearSolver<SOLVER_TRAITS>* s, CellMarker& lm, const AttributeHandler<ATTR_TYPE>& attr, unsigned int coord, const AttributeHandler<unsigned int> index)
void setupVariables(
typename PFP::MAP& m,
LinearSolver<SOLVER_TRAITS>* s,
const AttributeHandler<unsigned int> index,
CellMarker& lm,
const AttributeHandler<ATTR_TYPE>& attr,
unsigned int coord)
{
FunctorMeshToSolver_Vector<PFP, ATTR_TYPE, SOLVER_TRAITS> fmts(m, s, lm, attr, coord, index) ;
FunctorMeshToSolver_Vector<PFP, ATTR_TYPE, SOLVER_TRAITS> fmts(s, index, lm, attr, coord) ;
m.foreach_orbit(VERTEX, fmts) ;
}
/*******************************************************************************
* START MATRIX DEFINITION
*******************************************************************************/
template <class SOLVER_TRAITS>
void startMatrix(LinearSolver<SOLVER_TRAITS>* s)
{
s->begin_system() ;
}
/*******************************************************************************
* MATRIX SETUP : EQUALITY
*******************************************************************************/
template <typename PFP, typename ATTR_TYPE, class SOLVER_TRAITS>
void addRowsRHS_Equality(
typename PFP::MAP& m,
LinearSolver<SOLVER_TRAITS>* s,
const AttributeHandler<unsigned int> index,
const AttributeHandler<ATTR_TYPE>& attr,
float amount)
{
FunctorEquality_Scalar<PFP, ATTR_TYPE, SOLVER_TRAITS> ec(s, index, attr, amount) ;
m.foreach_orbit(VERTEX, ec) ;
}
template <typename PFP, typename ATTR_TYPE, class SOLVER_TRAITS>
void addRowsRHS_Equality(
typename PFP::MAP& m,
LinearSolver<SOLVER_TRAITS>* s,
const AttributeHandler<unsigned int> index,
const AttributeHandler<ATTR_TYPE>& attr,
float amount,
unsigned int coord)
{
FunctorEquality_Vector<PFP, ATTR_TYPE, SOLVER_TRAITS> ec(s, index, attr, amount, coord) ;
m.foreach_orbit(VERTEX, ec) ;
}
/*******************************************************************************
* MATRIX SETUP : LAPLACIAN TOPO
*******************************************************************************/
template <typename PFP, class SOLVER_TRAITS>
void addRows_Laplacian_Topo(typename PFP::MAP& m, LinearSolver<SOLVER_TRAITS>* s, const AttributeHandler<unsigned int> index)
void addRows_Laplacian_Topo(
typename PFP::MAP& m,
LinearSolver<SOLVER_TRAITS>* s,
const AttributeHandler<unsigned int> index)
{
FunctorLaplacianTopo<PFP, SOLVER_TRAITS> flt(m, s, index) ;
m.foreach_orbit(VERTEX, flt) ;
}
template <typename PFP, typename ATTR_TYPE, class SOLVER_TRAITS>
void addRowsRHS_Laplacian_Topo(
typename PFP::MAP& m,
LinearSolver<SOLVER_TRAITS>* s,
const AttributeHandler<unsigned int> index,
const AttributeHandler<ATTR_TYPE>& attr)
{
FunctorLaplacianTopo<PFP, SOLVER_TRAITS> lt(m, s, index) ;
m.foreach_orbit(VERTEX, lt) ;
FunctorLaplacianTopoRHS_Scalar<PFP, ATTR_TYPE, SOLVER_TRAITS> flt(m, s, index, attr) ;
m.foreach_orbit(VERTEX, flt) ;
}
template <typename PFP, typename ATTR_TYPE, class SOLVER_TRAITS>
void addRowsRHS_Laplacian_Topo(
typename PFP::MAP& m,
LinearSolver<SOLVER_TRAITS>* s,
const AttributeHandler<unsigned int> index,
const AttributeHandler<ATTR_TYPE>& attr,
unsigned int coord)
{
FunctorLaplacianTopoRHS_Vector<PFP, ATTR_TYPE, SOLVER_TRAITS> flt(m, s, index, attr, coord) ;
m.foreach_orbit(VERTEX, flt) ;
}
/*******************************************************************************
* MATRIX SETUP : LAPLACIAN COTAN
*******************************************************************************/
template <typename PFP, class SOLVER_TRAITS>
void addRows_Laplacian_Cotan(typename PFP::MAP& m, LinearSolver<SOLVER_TRAITS>* s, const AttributeHandler<unsigned int> index, const typename PFP::TREAL& edgeWeight, const typename PFP::TREAL& vertexArea)
void addRows_Laplacian_Cotan(
typename PFP::MAP& m,
LinearSolver<SOLVER_TRAITS>* s,
const AttributeHandler<unsigned int> index,
const typename PFP::TREAL& edgeWeight,
const typename PFP::TREAL& vertexArea)
{
FunctorLaplacianCotan<PFP, SOLVER_TRAITS> lt(m, s, index, edgeWeight, vertexArea) ;
m.foreach_orbit(VERTEX, lt) ;
FunctorLaplacianCotan<PFP, SOLVER_TRAITS> flc(m, s, index, edgeWeight, vertexArea) ;
m.foreach_orbit(VERTEX, flc) ;
}
template <typename PFP, typename ATTR_TYPE, class SOLVER_TRAITS>
void addRows_Equality(typename PFP::MAP& m, LinearSolver<SOLVER_TRAITS>* s, const AttributeHandler<ATTR_TYPE>& attr, const AttributeHandler<unsigned int> index, float amount)
void addRowsRHS_Laplacian_Cotan(
typename PFP::MAP& m,
LinearSolver<SOLVER_TRAITS>* s,
const AttributeHandler<unsigned int> index,
const typename PFP::TREAL& edgeWeight,
const typename PFP::TREAL& vertexArea,
const AttributeHandler<ATTR_TYPE>& attr)
{
setupEqualityMatrix<PFP, ATTR_TYPE, SOLVER_TRAITS>(m, s, attr, index, amount) ;
FunctorLaplacianCotanRHS_Scalar<PFP, ATTR_TYPE, SOLVER_TRAITS> flc(m, s, index, edgeWeight, vertexArea, attr) ;
m.foreach_orbit(VERTEX, flc) ;
}
template <typename PFP, typename ATTR_TYPE, class SOLVER_TRAITS>
void addRows_Equality(typename PFP::MAP& m, LinearSolver<SOLVER_TRAITS>* s, const AttributeHandler<ATTR_TYPE>& attr, unsigned int coord, const AttributeHandler<unsigned int> index, float amount)
void addRowsRHS_Laplacian_Cotan(
typename PFP::MAP& m,
LinearSolver<SOLVER_TRAITS>* s,
const AttributeHandler<unsigned int> index,
const typename PFP::TREAL& edgeWeight,
const typename PFP::TREAL& vertexArea,
const AttributeHandler<ATTR_TYPE>& attr,
unsigned int coord)
{
setupEqualityMatrix<PFP, ATTR_TYPE, SOLVER_TRAITS>(m, s, attr, coord, index, amount) ;
FunctorLaplacianCotanRHS_Vector<PFP, ATTR_TYPE, SOLVER_TRAITS> flc(m, s, index, edgeWeight, vertexArea, attr, coord) ;
m.foreach_orbit(VERTEX, flc) ;
}
/*******************************************************************************
* END MATRIX DEFINITION
*******************************************************************************/
template <class SOLVER_TRAITS>
void endMatrix(LinearSolver<SOLVER_TRAITS>* s)
{
s->end_system() ;
}
/*******************************************************************************
* SOLVE SYSTEM
*******************************************************************************/
template <class SOLVER_TRAITS>
void solve(LinearSolver<SOLVER_TRAITS>* s)
{
s->solve() ;
}
/*******************************************************************************
* RESET SOLVER
*******************************************************************************/
template <class SOLVER_TRAITS>
void resetSolver(LinearSolver<SOLVER_TRAITS>* s, bool keepMatrix)
{
s->reset(keepMatrix) ;
}
/*******************************************************************************
* GET RESULTS
*******************************************************************************/
template <typename PFP, typename ATTR_TYPE, class SOLVER_TRAITS>
void getResult(typename PFP::MAP& m, LinearSolver<SOLVER_TRAITS>* s, AttributeHandler<ATTR_TYPE>& attr, const AttributeHandler<unsigned int> index)
void getResult(
typename PFP::MAP& m,
LinearSolver<SOLVER_TRAITS>* s,
const AttributeHandler<unsigned int> index,
AttributeHandler<ATTR_TYPE>& attr)
{
FunctorSolverToMesh_Scalar<PFP, ATTR_TYPE, SOLVER_TRAITS> fstm(m, s, attr, index) ;
FunctorSolverToMesh_Scalar<PFP, ATTR_TYPE, SOLVER_TRAITS> fstm(s, index, attr) ;
m.foreach_orbit(VERTEX, fstm) ;
}
template <typename PFP, typename ATTR_TYPE, class SOLVER_TRAITS>
void getResult(typename PFP::MAP& m, LinearSolver<SOLVER_TRAITS>* s, AttributeHandler<ATTR_TYPE>& attr, unsigned int coord, const AttributeHandler<unsigned int> index)
void getResult(
typename PFP::MAP& m,
LinearSolver<SOLVER_TRAITS>* s,
const AttributeHandler<unsigned int> index,
AttributeHandler<ATTR_TYPE>& attr,
unsigned int coord)
{
FunctorSolverToMesh_Vector<PFP, ATTR_TYPE, SOLVER_TRAITS> fstm(m, s, attr, coord, index) ;
FunctorSolverToMesh_Vector<PFP, ATTR_TYPE, SOLVER_TRAITS> fstm(s, index, attr, coord) ;
m.foreach_orbit(VERTEX, fstm) ;
}
......
......@@ -22,10 +22,8 @@
* *
*******************************************************************************/
#ifndef __LINEAR_SOLVING_CONSTRAINTS__
#define __LINEAR_SOLVING_CONSTRAINTS__
#include "Algo/LinearSolving/Laplacian/matrixSetup.h"
#ifndef __LINEAR_SOLVING_MATRIX_SETUP__
#define __LINEAR_SOLVING_MATRIX_SETUP__
namespace CGoGN
{
......@@ -33,77 +31,355 @@ namespace CGoGN
namespace LinearSolving
{
/*******************************************************************************
* EQUALITY MATRIX : right-hand-side SCALAR
*******************************************************************************/
template<typename PFP, typename ATTR_TYPE, class SOLVER_TRAITS>
class EqualityConstraint_Scalar : public FunctorMap<typename PFP::MAP>
class FunctorEquality_Scalar : public FunctorType
{
protected:
LinearSolver<SOLVER_TRAITS>* solver ;
const AttributeHandler<unsigned int>& indexTable ;
const AttributeHandler<ATTR_TYPE>& attrTable ;
float weight ;
public:
FunctorEquality_Scalar(
LinearSolver<SOLVER_TRAITS>* s,
const AttributeHandler<unsigned int>& index,
const AttributeHandler<ATTR_TYPE>& attr,
float w
) : solver(s), indexTable(index), attrTable(attr), weight(w)
{}
bool operator()(Dart d)
{
solver->begin_row() ;
solver->add_coefficient(indexTable[d], 1) ;
solver->set_right_hand_side(attrTable[d]) ;
solver->normalize_row(weight) ;
solver->end_row() ;
return false ;
}
} ;
/*******************************************************************************
* EQUALITY MATRIX : right-hand-side VECTOR + coordinate
*******************************************************************************/
template<typename PFP, typename ATTR_TYPE, class SOLVER_TRAITS>
class FunctorEquality_Vector : public FunctorType
{
protected:
LinearSolver<SOLVER_TRAITS>* solver ;
const AttributeHandler<unsigned int>& indexTable ;
const AttributeHandler<ATTR_TYPE>& attrTable ;
float weight ;
unsigned int coord ;
public:
FunctorEquality_Vector(
LinearSolver<SOLVER_TRAITS>* s,
const AttributeHandler<unsigned int>& index,
const AttributeHandler<ATTR_TYPE>& attr,
float w,
unsigned int c
) : solver(s), indexTable(index), attrTable(attr), weight(w), coord(c)
{}
bool operator()(Dart d)
{
solver->begin_row() ;
solver->add_coefficient(indexTable[d], 1) ;
solver->set_right_hand_side((attrTable[d])[coord]) ;
solver->normalize_row(weight) ;
solver->end_row() ;
return false ;
}
} ;
/*******************************************************************************
* LAPLACIAN TOPO MATRIX : right-hand-side 0
*******************************************************************************/
template<typename PFP, class SOLVER_TRAITS>