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Schur staggered

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This commit is contained in:
Azusa Yamaguchi 2017-10-10 10:00:43 +01:00
parent 09f4cdb11e
commit f0e084a88c
2 changed files with 342 additions and 2 deletions
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104
lib/algorithms/LinearOperator.h
View File

@ -192,10 +192,10 @@ namespace Grid {
ni=Mpc(in,tmp);
no=MpcDag(tmp,out);
}
void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
virtual void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
MpcDagMpc(in,out,n1,n2);
}
void HermOp(const Field &in, Field &out){
virtual void HermOp(const Field &in, Field &out){
RealD n1,n2;
HermOpAndNorm(in,out,n1,n2);
}
@ -300,6 +300,106 @@ namespace Grid {
}
};
//
template<class Matrix,class Field>
class SchurStaggeredOperator : public SchurOperatorBase<Field> {
protected:
Matrix &_Mat;
public:
SchurStaggeredOperator (Matrix &Mat): _Mat(Mat){};
virtual void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
ComplexD dot;
n2=Mpc(in,out);
dot= innerProduct(in,out);
n1= real(dot);
}
virtual void HermOp(const Field &in, Field &out){
Mpc(in,out);
}
virtual RealD Mpc (const Field &in, Field &out) {
Field tmp(in._grid);
_Mat.Meooe(in,tmp);
_Mat.MooeeInv(tmp,out);
_Mat.MeooeDag(out,tmp);
_Mat.Mooee(in,out);
return axpy_norm(out,-1.0,tmp,out);
}
virtual RealD MpcDag (const Field &in, Field &out){
return Mpc(in,out);
}
virtual void MpcDagMpc(const Field &in, Field &out,RealD &ni,RealD &no) {
assert(0);// Never need with staggered
}
};
template<class Matrix,class Field> using SchurStagOperator = SchurStaggeredOperator<Matrix,Field>;
// This is specific to (Z)mobius fermions
template<class Matrix, class Field>
class KappaSimilarityTransform {
public:
typedef typename Matrix::Coeff_t Coeff_t;
std::vector<Coeff_t> kappa, kappaDag, kappaInv, kappaInvDag;
KappaSimilarityTransform (Matrix &zmob) {
for (int i=0;i<(int)zmob.bs.size();i++) {
Coeff_t k = 1.0 / ( 2.0 * (zmob.bs[i] *(4 - zmob.M5) + 1.0) );
kappa.push_back( k );
kappaDag.push_back( conj(k) );
kappaInv.push_back( 1.0 / k );
kappaInvDag.push_back( 1.0 / conj(k) );
}
}
template<typename vobj>
void sscale(const Lattice<vobj>& in, Lattice<vobj>& out, Coeff_t* s) {
GridBase *grid=out._grid;
out.checkerboard = in.checkerboard;
assert(grid->_simd_layout[0] == 1); // should be fine for ZMobius for now
int Ls = grid->_rdimensions[0];
parallel_for(int ss=0;ss<grid->oSites();ss++){
vobj tmp = s[ss % Ls]*in._odata[ss];
vstream(out._odata[ss],tmp);
}
}
RealD sscale_norm(const Field& in, Field& out, Coeff_t* s) {
sscale(in,out,s);
return norm2(out);
}
virtual RealD M (const Field& in, Field& out) { return sscale_norm(in,out,&kappa[0]); }
virtual RealD MDag (const Field& in, Field& out) { return sscale_norm(in,out,&kappaDag[0]);}
virtual RealD MInv (const Field& in, Field& out) { return sscale_norm(in,out,&kappaInv[0]);}
virtual RealD MInvDag (const Field& in, Field& out) { return sscale_norm(in,out,&kappaInvDag[0]);}
};
template<class Matrix,class Field>
class SchurDiagTwoKappaOperator : public SchurOperatorBase<Field> {
public:
KappaSimilarityTransform<Matrix, Field> _S;
SchurDiagTwoOperator<Matrix, Field> _Mat;
SchurDiagTwoKappaOperator (Matrix &Mat): _S(Mat), _Mat(Mat) {};
virtual RealD Mpc (const Field &in, Field &out) {
Field tmp(in._grid);
_S.MInv(in,out);
_Mat.Mpc(out,tmp);
return _S.M(tmp,out);
}
virtual RealD MpcDag (const Field &in, Field &out){
Field tmp(in._grid);
_S.MDag(in,out);
_Mat.MpcDag(out,tmp);
return _S.MInvDag(tmp,out);
}
};
/////////////////////////////////////////////////////////////
// Base classes for functions of operators

240
lib/algorithms/iterative/SchurRedBlack.h
View File

@ -63,6 +63,85 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
*/
namespace Grid {
///////////////////////////////////////////////////////////////////////////////////////////////////////
// Take a matrix and form a Red Black solver calling a Herm solver
// Use of RB info prevents making SchurRedBlackSolve conform to standard interface
///////////////////////////////////////////////////////////////////////////////////////////////////////
template<class Field> class SchurRedBlackStaggeredSolve {
private:
OperatorFunction<Field> & _HermitianRBSolver;
int CBfactorise;
public:
/////////////////////////////////////////////////////
// Wrap the usual normal equations Schur trick
/////////////////////////////////////////////////////
SchurRedBlackStaggeredSolve(OperatorFunction<Field> &HermitianRBSolver) :
_HermitianRBSolver(HermitianRBSolver)
{
CBfactorise=0;
};
template<class Matrix>
void operator() (Matrix & _Matrix,const Field &in, Field &out){
// FIXME CGdiagonalMee not implemented virtual function
// FIXME use CBfactorise to control schur decomp
GridBase *grid = _Matrix.RedBlackGrid();
GridBase *fgrid= _Matrix.Grid();
SchurStaggeredOperator<Matrix,Field> _HermOpEO(_Matrix);
Field src_e(grid);
Field src_o(grid);
Field sol_e(grid);
Field sol_o(grid);
Field tmp(grid);
Field Mtmp(grid);
Field resid(fgrid);
pickCheckerboard(Even,src_e,in);
pickCheckerboard(Odd ,src_o,in);
pickCheckerboard(Even,sol_e,out);
pickCheckerboard(Odd ,sol_o,out);
/////////////////////////////////////////////////////
// src_o = Mdag * (source_o - Moe MeeInv source_e)
/////////////////////////////////////////////////////
_Matrix.MooeeInv(src_e,tmp); assert( tmp.checkerboard ==Even);
_Matrix.Meooe (tmp,Mtmp); assert( Mtmp.checkerboard ==Odd);
tmp=src_o-Mtmp; assert( tmp.checkerboard ==Odd);
_Matrix.Mooee(tmp,src_o); assert(src_o.checkerboard ==Odd);
//////////////////////////////////////////////////////////////
// Call the red-black solver
//////////////////////////////////////////////////////////////
std::cout<<GridLogMessage << "SchurRedBlack solver calling the MpcDagMp solver" <<std::endl;
_HermitianRBSolver(_HermOpEO,src_o,sol_o); assert(sol_o.checkerboard==Odd);
///////////////////////////////////////////////////
// sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
///////////////////////////////////////////////////
_Matrix.Meooe(sol_o,tmp); assert( tmp.checkerboard ==Even);
src_e = src_e-tmp; assert( src_e.checkerboard ==Even);
_Matrix.MooeeInv(src_e,sol_e); assert( sol_e.checkerboard ==Even);
setCheckerboard(out,sol_e); assert( sol_e.checkerboard ==Even);
setCheckerboard(out,sol_o); assert( sol_o.checkerboard ==Odd );
// Verify the unprec residual
_Matrix.M(out,resid);
resid = resid-in;
RealD ns = norm2(in);
RealD nr = norm2(resid);
std::cout<<GridLogMessage << "SchurRedBlackStaggered solver true unprec resid "<< std::sqrt(nr/ns) <<" nr "<< nr <<" ns "<<ns << std::endl;
}
};
template<class Field> using SchurRedBlackStagSolve = SchurRedBlackStaggeredSolve<Field>;
///////////////////////////////////////////////////////////////////////////////////////////////////////
// Take a matrix and form a Red Black solver calling a Herm solver
// Use of RB info prevents making SchurRedBlackSolve conform to standard interface
@ -141,5 +220,166 @@ namespace Grid {
}
};
///////////////////////////////////////////////////////////////////////////////////////////////////////
// Take a matrix and form a Red Black solver calling a Herm solver
// Use of RB info prevents making SchurRedBlackSolve conform to standard interface
///////////////////////////////////////////////////////////////////////////////////////////////////////
template<class Field> class SchurRedBlackDiagTwoSolve {
private:
OperatorFunction<Field> & _HermitianRBSolver;
int CBfactorise;
public:
/////////////////////////////////////////////////////
// Wrap the usual normal equations Schur trick
/////////////////////////////////////////////////////
SchurRedBlackDiagTwoSolve(OperatorFunction<Field> &HermitianRBSolver) :
_HermitianRBSolver(HermitianRBSolver)
{
CBfactorise=0;
};
template<class Matrix>
void operator() (Matrix & _Matrix,const Field &in, Field &out){
// FIXME CGdiagonalMee not implemented virtual function
// FIXME use CBfactorise to control schur decomp
GridBase *grid = _Matrix.RedBlackGrid();
GridBase *fgrid= _Matrix.Grid();
SchurDiagTwoOperator<Matrix,Field> _HermOpEO(_Matrix);
Field src_e(grid);
Field src_o(grid);
Field sol_e(grid);
Field sol_o(grid);
Field tmp(grid);
Field Mtmp(grid);
Field resid(fgrid);
pickCheckerboard(Even,src_e,in);
pickCheckerboard(Odd ,src_o,in);
pickCheckerboard(Even,sol_e,out);
pickCheckerboard(Odd ,sol_o,out);
/////////////////////////////////////////////////////
// src_o = Mdag * (source_o - Moe MeeInv source_e)
/////////////////////////////////////////////////////
_Matrix.MooeeInv(src_e,tmp); assert( tmp.checkerboard ==Even);
_Matrix.Meooe (tmp,Mtmp); assert( Mtmp.checkerboard ==Odd);
tmp=src_o-Mtmp; assert( tmp.checkerboard ==Odd);
// get the right MpcDag
_HermOpEO.MpcDag(tmp,src_o); assert(src_o.checkerboard ==Odd);
//////////////////////////////////////////////////////////////
// Call the red-black solver
//////////////////////////////////////////////////////////////
std::cout<<GridLogMessage << "SchurRedBlack solver calling the MpcDagMp solver" <<std::endl;
// _HermitianRBSolver(_HermOpEO,src_o,sol_o); assert(sol_o.checkerboard==Odd);
_HermitianRBSolver(_HermOpEO,src_o,tmp); assert(tmp.checkerboard==Odd);
_Matrix.MooeeInv(tmp,sol_o); assert( sol_o.checkerboard ==Odd);
///////////////////////////////////////////////////
// sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
///////////////////////////////////////////////////
_Matrix.Meooe(sol_o,tmp); assert( tmp.checkerboard ==Even);
src_e = src_e-tmp; assert( src_e.checkerboard ==Even);
_Matrix.MooeeInv(src_e,sol_e); assert( sol_e.checkerboard ==Even);
setCheckerboard(out,sol_e); assert( sol_e.checkerboard ==Even);
setCheckerboard(out,sol_o); assert( sol_o.checkerboard ==Odd );
// Verify the unprec residual
_Matrix.M(out,resid);
resid = resid-in;
RealD ns = norm2(in);
RealD nr = norm2(resid);
std::cout<<GridLogMessage << "SchurRedBlackDiagTwo solver true unprec resid "<< std::sqrt(nr/ns) <<" nr "<< nr <<" ns "<<ns << std::endl;
}
};
///////////////////////////////////////////////////////////////////////////////////////////////////////
// Take a matrix and form a Red Black solver calling a Herm solver
// Use of RB info prevents making SchurRedBlackSolve conform to standard interface
///////////////////////////////////////////////////////////////////////////////////////////////////////
template<class Field> class SchurRedBlackDiagTwoMixed {
private:
LinearFunction<Field> & _HermitianRBSolver;
int CBfactorise;
public:
/////////////////////////////////////////////////////
// Wrap the usual normal equations Schur trick
/////////////////////////////////////////////////////
SchurRedBlackDiagTwoMixed(LinearFunction<Field> &HermitianRBSolver) :
_HermitianRBSolver(HermitianRBSolver)
{
CBfactorise=0;
};
template<class Matrix>
void operator() (Matrix & _Matrix,const Field &in, Field &out){
// FIXME CGdiagonalMee not implemented virtual function
// FIXME use CBfactorise to control schur decomp
GridBase *grid = _Matrix.RedBlackGrid();
GridBase *fgrid= _Matrix.Grid();
SchurDiagTwoOperator<Matrix,Field> _HermOpEO(_Matrix);
Field src_e(grid);
Field src_o(grid);
Field sol_e(grid);
Field sol_o(grid);
Field tmp(grid);
Field Mtmp(grid);
Field resid(fgrid);
pickCheckerboard(Even,src_e,in);
pickCheckerboard(Odd ,src_o,in);
pickCheckerboard(Even,sol_e,out);
pickCheckerboard(Odd ,sol_o,out);
/////////////////////////////////////////////////////
// src_o = Mdag * (source_o - Moe MeeInv source_e)
/////////////////////////////////////////////////////
_Matrix.MooeeInv(src_e,tmp); assert( tmp.checkerboard ==Even);
_Matrix.Meooe (tmp,Mtmp); assert( Mtmp.checkerboard ==Odd);
tmp=src_o-Mtmp; assert( tmp.checkerboard ==Odd);
// get the right MpcDag
_HermOpEO.MpcDag(tmp,src_o); assert(src_o.checkerboard ==Odd);
//////////////////////////////////////////////////////////////
// Call the red-black solver
//////////////////////////////////////////////////////////////
std::cout<<GridLogMessage << "SchurRedBlack solver calling the MpcDagMp solver" <<std::endl;
// _HermitianRBSolver(_HermOpEO,src_o,sol_o); assert(sol_o.checkerboard==Odd);
// _HermitianRBSolver(_HermOpEO,src_o,tmp); assert(tmp.checkerboard==Odd);
_HermitianRBSolver(src_o,tmp); assert(tmp.checkerboard==Odd);
_Matrix.MooeeInv(tmp,sol_o); assert( sol_o.checkerboard ==Odd);
///////////////////////////////////////////////////
// sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
///////////////////////////////////////////////////
_Matrix.Meooe(sol_o,tmp); assert( tmp.checkerboard ==Even);
src_e = src_e-tmp; assert( src_e.checkerboard ==Even);
_Matrix.MooeeInv(src_e,sol_e); assert( sol_e.checkerboard ==Even);
setCheckerboard(out,sol_e); assert( sol_e.checkerboard ==Even);
setCheckerboard(out,sol_o); assert( sol_o.checkerboard ==Odd );
// Verify the unprec residual
_Matrix.M(out,resid);
resid = resid-in;
RealD ns = norm2(in);
RealD nr = norm2(resid);
std::cout<<GridLogMessage << "SchurRedBlackDiagTwo solver true unprec resid "<< std::sqrt(nr/ns) <<" nr "<< nr <<" ns "<<ns << std::endl;
}
};
}
#endif