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Schur staggered
This commit is contained in:
Azusa Yamaguchi
parent
09f4cdb11e
commit
f0e084a88c
@ -192,10 +192,10 @@ namespace Grid {
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ni=Mpc(in,tmp);
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no=MpcDag(tmp,out);
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}
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void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
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virtual void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
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MpcDagMpc(in,out,n1,n2);
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}
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void HermOp(const Field &in, Field &out){
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virtual void HermOp(const Field &in, Field &out){
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RealD n1,n2;
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HermOpAndNorm(in,out,n1,n2);
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}
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@ -300,6 +300,106 @@ namespace Grid {
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}
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};
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//
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template<class Matrix,class Field>
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class SchurStaggeredOperator : public SchurOperatorBase<Field> {
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protected:
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Matrix &_Mat;
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public:
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SchurStaggeredOperator (Matrix &Mat): _Mat(Mat){};
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virtual void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
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ComplexD dot;
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n2=Mpc(in,out);
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dot= innerProduct(in,out);
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n1= real(dot);
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}
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virtual void HermOp(const Field &in, Field &out){
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Mpc(in,out);
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}
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virtual RealD Mpc (const Field &in, Field &out) {
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Field tmp(in._grid);
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_Mat.Meooe(in,tmp);
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_Mat.MooeeInv(tmp,out);
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_Mat.MeooeDag(out,tmp);
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_Mat.Mooee(in,out);
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return axpy_norm(out,-1.0,tmp,out);
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}
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virtual RealD MpcDag (const Field &in, Field &out){
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return Mpc(in,out);
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}
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virtual void MpcDagMpc(const Field &in, Field &out,RealD &ni,RealD &no) {
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assert(0);// Never need with staggered
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}
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};
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template<class Matrix,class Field> using SchurStagOperator = SchurStaggeredOperator<Matrix,Field>;
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// This is specific to (Z)mobius fermions
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template<class Matrix, class Field>
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class KappaSimilarityTransform {
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public:
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typedef typename Matrix::Coeff_t Coeff_t;
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std::vector<Coeff_t> kappa, kappaDag, kappaInv, kappaInvDag;
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KappaSimilarityTransform (Matrix &zmob) {
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for (int i=0;i<(int)zmob.bs.size();i++) {
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Coeff_t k = 1.0 / ( 2.0 * (zmob.bs[i] *(4 - zmob.M5) + 1.0) );
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kappa.push_back( k );
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kappaDag.push_back( conj(k) );
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kappaInv.push_back( 1.0 / k );
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kappaInvDag.push_back( 1.0 / conj(k) );
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}
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}
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template<typename vobj>
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void sscale(const Lattice<vobj>& in, Lattice<vobj>& out, Coeff_t* s) {
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GridBase *grid=out._grid;
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out.checkerboard = in.checkerboard;
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assert(grid->_simd_layout[0] == 1); // should be fine for ZMobius for now
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int Ls = grid->_rdimensions[0];
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parallel_for(int ss=0;ss<grid->oSites();ss++){
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vobj tmp = s[ss % Ls]*in._odata[ss];
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vstream(out._odata[ss],tmp);
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}
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}
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RealD sscale_norm(const Field& in, Field& out, Coeff_t* s) {
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sscale(in,out,s);
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return norm2(out);
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}
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virtual RealD M (const Field& in, Field& out) { return sscale_norm(in,out,&kappa[0]); }
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virtual RealD MDag (const Field& in, Field& out) { return sscale_norm(in,out,&kappaDag[0]);}
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virtual RealD MInv (const Field& in, Field& out) { return sscale_norm(in,out,&kappaInv[0]);}
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virtual RealD MInvDag (const Field& in, Field& out) { return sscale_norm(in,out,&kappaInvDag[0]);}
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};
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template<class Matrix,class Field>
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class SchurDiagTwoKappaOperator : public SchurOperatorBase<Field> {
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public:
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KappaSimilarityTransform<Matrix, Field> _S;
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SchurDiagTwoOperator<Matrix, Field> _Mat;
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SchurDiagTwoKappaOperator (Matrix &Mat): _S(Mat), _Mat(Mat) {};
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virtual RealD Mpc (const Field &in, Field &out) {
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Field tmp(in._grid);
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_S.MInv(in,out);
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_Mat.Mpc(out,tmp);
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return _S.M(tmp,out);
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}
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virtual RealD MpcDag (const Field &in, Field &out){
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Field tmp(in._grid);
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_S.MDag(in,out);
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_Mat.MpcDag(out,tmp);
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return _S.MInvDag(tmp,out);
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}
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};
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/////////////////////////////////////////////////////////////
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// Base classes for functions of operators
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@ -63,6 +63,85 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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*/
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namespace Grid {
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///////////////////////////////////////////////////////////////////////////////////////////////////////
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// Take a matrix and form a Red Black solver calling a Herm solver
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// Use of RB info prevents making SchurRedBlackSolve conform to standard interface
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///////////////////////////////////////////////////////////////////////////////////////////////////////
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template<class Field> class SchurRedBlackStaggeredSolve {
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private:
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OperatorFunction<Field> & _HermitianRBSolver;
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int CBfactorise;
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public:
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/////////////////////////////////////////////////////
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// Wrap the usual normal equations Schur trick
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/////////////////////////////////////////////////////
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SchurRedBlackStaggeredSolve(OperatorFunction<Field> &HermitianRBSolver) :
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_HermitianRBSolver(HermitianRBSolver)
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{
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CBfactorise=0;
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};
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template<class Matrix>
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void operator() (Matrix & _Matrix,const Field &in, Field &out){
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// FIXME CGdiagonalMee not implemented virtual function
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// FIXME use CBfactorise to control schur decomp
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GridBase *grid = _Matrix.RedBlackGrid();
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GridBase *fgrid= _Matrix.Grid();
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SchurStaggeredOperator<Matrix,Field> _HermOpEO(_Matrix);
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Field src_e(grid);
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Field src_o(grid);
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Field sol_e(grid);
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Field sol_o(grid);
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Field tmp(grid);
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Field Mtmp(grid);
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Field resid(fgrid);
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pickCheckerboard(Even,src_e,in);
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pickCheckerboard(Odd ,src_o,in);
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pickCheckerboard(Even,sol_e,out);
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pickCheckerboard(Odd ,sol_o,out);
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/////////////////////////////////////////////////////
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// src_o = Mdag * (source_o - Moe MeeInv source_e)
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/////////////////////////////////////////////////////
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_Matrix.MooeeInv(src_e,tmp); assert( tmp.checkerboard ==Even);
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_Matrix.Meooe (tmp,Mtmp); assert( Mtmp.checkerboard ==Odd);
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tmp=src_o-Mtmp; assert( tmp.checkerboard ==Odd);
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_Matrix.Mooee(tmp,src_o); assert(src_o.checkerboard ==Odd);
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//////////////////////////////////////////////////////////////
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// Call the red-black solver
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//////////////////////////////////////////////////////////////
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std::cout<<GridLogMessage << "SchurRedBlack solver calling the MpcDagMp solver" <<std::endl;
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_HermitianRBSolver(_HermOpEO,src_o,sol_o); assert(sol_o.checkerboard==Odd);
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///////////////////////////////////////////////////
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// sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
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///////////////////////////////////////////////////
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_Matrix.Meooe(sol_o,tmp); assert( tmp.checkerboard ==Even);
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src_e = src_e-tmp; assert( src_e.checkerboard ==Even);
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_Matrix.MooeeInv(src_e,sol_e); assert( sol_e.checkerboard ==Even);
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setCheckerboard(out,sol_e); assert( sol_e.checkerboard ==Even);
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setCheckerboard(out,sol_o); assert( sol_o.checkerboard ==Odd );
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// Verify the unprec residual
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_Matrix.M(out,resid);
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resid = resid-in;
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RealD ns = norm2(in);
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RealD nr = norm2(resid);
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std::cout<<GridLogMessage << "SchurRedBlackStaggered solver true unprec resid "<< std::sqrt(nr/ns) <<" nr "<< nr <<" ns "<<ns << std::endl;
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}
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};
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template<class Field> using SchurRedBlackStagSolve = SchurRedBlackStaggeredSolve<Field>;
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///////////////////////////////////////////////////////////////////////////////////////////////////////
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// Take a matrix and form a Red Black solver calling a Herm solver
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// Use of RB info prevents making SchurRedBlackSolve conform to standard interface
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@ -141,5 +220,166 @@ namespace Grid {
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}
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};
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///////////////////////////////////////////////////////////////////////////////////////////////////////
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// Take a matrix and form a Red Black solver calling a Herm solver
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// Use of RB info prevents making SchurRedBlackSolve conform to standard interface
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///////////////////////////////////////////////////////////////////////////////////////////////////////
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template<class Field> class SchurRedBlackDiagTwoSolve {
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private:
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OperatorFunction<Field> & _HermitianRBSolver;
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int CBfactorise;
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public:
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/////////////////////////////////////////////////////
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// Wrap the usual normal equations Schur trick
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/////////////////////////////////////////////////////
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SchurRedBlackDiagTwoSolve(OperatorFunction<Field> &HermitianRBSolver) :
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_HermitianRBSolver(HermitianRBSolver)
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{
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CBfactorise=0;
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};
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template<class Matrix>
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void operator() (Matrix & _Matrix,const Field &in, Field &out){
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// FIXME CGdiagonalMee not implemented virtual function
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// FIXME use CBfactorise to control schur decomp
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GridBase *grid = _Matrix.RedBlackGrid();
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GridBase *fgrid= _Matrix.Grid();
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SchurDiagTwoOperator<Matrix,Field> _HermOpEO(_Matrix);
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Field src_e(grid);
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Field src_o(grid);
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Field sol_e(grid);
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Field sol_o(grid);
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Field tmp(grid);
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Field Mtmp(grid);
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Field resid(fgrid);
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pickCheckerboard(Even,src_e,in);
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pickCheckerboard(Odd ,src_o,in);
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pickCheckerboard(Even,sol_e,out);
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pickCheckerboard(Odd ,sol_o,out);
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/////////////////////////////////////////////////////
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// src_o = Mdag * (source_o - Moe MeeInv source_e)
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/////////////////////////////////////////////////////
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_Matrix.MooeeInv(src_e,tmp); assert( tmp.checkerboard ==Even);
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_Matrix.Meooe (tmp,Mtmp); assert( Mtmp.checkerboard ==Odd);
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tmp=src_o-Mtmp; assert( tmp.checkerboard ==Odd);
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// get the right MpcDag
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_HermOpEO.MpcDag(tmp,src_o); assert(src_o.checkerboard ==Odd);
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//////////////////////////////////////////////////////////////
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// Call the red-black solver
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//////////////////////////////////////////////////////////////
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std::cout<<GridLogMessage << "SchurRedBlack solver calling the MpcDagMp solver" <<std::endl;
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// _HermitianRBSolver(_HermOpEO,src_o,sol_o); assert(sol_o.checkerboard==Odd);
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_HermitianRBSolver(_HermOpEO,src_o,tmp); assert(tmp.checkerboard==Odd);
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_Matrix.MooeeInv(tmp,sol_o); assert( sol_o.checkerboard ==Odd);
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///////////////////////////////////////////////////
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// sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
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///////////////////////////////////////////////////
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_Matrix.Meooe(sol_o,tmp); assert( tmp.checkerboard ==Even);
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src_e = src_e-tmp; assert( src_e.checkerboard ==Even);
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_Matrix.MooeeInv(src_e,sol_e); assert( sol_e.checkerboard ==Even);
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setCheckerboard(out,sol_e); assert( sol_e.checkerboard ==Even);
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setCheckerboard(out,sol_o); assert( sol_o.checkerboard ==Odd );
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// Verify the unprec residual
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_Matrix.M(out,resid);
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resid = resid-in;
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RealD ns = norm2(in);
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RealD nr = norm2(resid);
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std::cout<<GridLogMessage << "SchurRedBlackDiagTwo solver true unprec resid "<< std::sqrt(nr/ns) <<" nr "<< nr <<" ns "<<ns << std::endl;
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}
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};
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///////////////////////////////////////////////////////////////////////////////////////////////////////
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// Take a matrix and form a Red Black solver calling a Herm solver
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// Use of RB info prevents making SchurRedBlackSolve conform to standard interface
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///////////////////////////////////////////////////////////////////////////////////////////////////////
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template<class Field> class SchurRedBlackDiagTwoMixed {
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private:
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LinearFunction<Field> & _HermitianRBSolver;
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int CBfactorise;
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public:
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/////////////////////////////////////////////////////
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// Wrap the usual normal equations Schur trick
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/////////////////////////////////////////////////////
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SchurRedBlackDiagTwoMixed(LinearFunction<Field> &HermitianRBSolver) :
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_HermitianRBSolver(HermitianRBSolver)
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{
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CBfactorise=0;
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};
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template<class Matrix>
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void operator() (Matrix & _Matrix,const Field &in, Field &out){
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// FIXME CGdiagonalMee not implemented virtual function
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// FIXME use CBfactorise to control schur decomp
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GridBase *grid = _Matrix.RedBlackGrid();
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GridBase *fgrid= _Matrix.Grid();
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SchurDiagTwoOperator<Matrix,Field> _HermOpEO(_Matrix);
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Field src_e(grid);
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Field src_o(grid);
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Field sol_e(grid);
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Field sol_o(grid);
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Field tmp(grid);
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Field Mtmp(grid);
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Field resid(fgrid);
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pickCheckerboard(Even,src_e,in);
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pickCheckerboard(Odd ,src_o,in);
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pickCheckerboard(Even,sol_e,out);
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pickCheckerboard(Odd ,sol_o,out);
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/////////////////////////////////////////////////////
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// src_o = Mdag * (source_o - Moe MeeInv source_e)
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/////////////////////////////////////////////////////
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_Matrix.MooeeInv(src_e,tmp); assert( tmp.checkerboard ==Even);
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_Matrix.Meooe (tmp,Mtmp); assert( Mtmp.checkerboard ==Odd);
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tmp=src_o-Mtmp; assert( tmp.checkerboard ==Odd);
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// get the right MpcDag
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_HermOpEO.MpcDag(tmp,src_o); assert(src_o.checkerboard ==Odd);
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//////////////////////////////////////////////////////////////
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// Call the red-black solver
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//////////////////////////////////////////////////////////////
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std::cout<<GridLogMessage << "SchurRedBlack solver calling the MpcDagMp solver" <<std::endl;
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// _HermitianRBSolver(_HermOpEO,src_o,sol_o); assert(sol_o.checkerboard==Odd);
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// _HermitianRBSolver(_HermOpEO,src_o,tmp); assert(tmp.checkerboard==Odd);
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_HermitianRBSolver(src_o,tmp); assert(tmp.checkerboard==Odd);
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_Matrix.MooeeInv(tmp,sol_o); assert( sol_o.checkerboard ==Odd);
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///////////////////////////////////////////////////
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// sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
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///////////////////////////////////////////////////
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_Matrix.Meooe(sol_o,tmp); assert( tmp.checkerboard ==Even);
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src_e = src_e-tmp; assert( src_e.checkerboard ==Even);
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_Matrix.MooeeInv(src_e,sol_e); assert( sol_e.checkerboard ==Even);
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setCheckerboard(out,sol_e); assert( sol_e.checkerboard ==Even);
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setCheckerboard(out,sol_o); assert( sol_o.checkerboard ==Odd );
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// Verify the unprec residual
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_Matrix.M(out,resid);
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resid = resid-in;
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RealD ns = norm2(in);
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RealD nr = norm2(resid);
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std::cout<<GridLogMessage << "SchurRedBlackDiagTwo solver true unprec resid "<< std::sqrt(nr/ns) <<" nr "<< nr <<" ns "<<ns << std::endl;
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}
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};
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}
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#endif
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