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a8b9109cc8
but non-identity matrix l1 0 0 0 .... 0 l2 0 0 .... 0 0 l3 0 ... . . . . . . . . . And apply the multishift CG to it. Sum the poles and residues. Insist that this be the same as the exactly taken square root where l1,l2,l3 >= 0.
196 lines
6.7 KiB
C++
196 lines
6.7 KiB
C++
#ifndef GRID_ALGORITHM_LINEAR_OP_H
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#define GRID_ALGORITHM_LINEAR_OP_H
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namespace Grid {
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/////////////////////////////////////////////////////////////////////////////////////////////
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// LinearOperators Take a something and return a something.
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/////////////////////////////////////////////////////////////////////////////////////////////
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//
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// Hopefully linearity is satisfied and the AdjOp is indeed the Hermitian conjugateugate (transpose if real):
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//SBase
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// i) F(a x + b y) = aF(x) + b F(y).
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// ii) <x|Op|y> = <y|AdjOp|x>^\ast
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//
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// Would be fun to have a test linearity & Herm Conj function!
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/////////////////////////////////////////////////////////////////////////////////////////////
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template<class Field> class LinearOperatorBase {
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public:
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virtual void Op (const Field &in, Field &out) = 0; // Abstract base
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virtual void AdjOp (const Field &in, Field &out) = 0; // Abstract base
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virtual void HermOpAndNorm(const Field &in, Field &out,double &n1,double &n2)=0;
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};
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/////////////////////////////////////////////////////////////////////////////////////////////
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// By sharing the class for Sparse Matrix across multiple operator wrappers, we can share code
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// between RB and non-RB variants. Sparse matrix is like the fermion action def, and then
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// the wrappers implement the specialisation of "Op" and "AdjOp" to the cases minimising
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// replication of code.
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//
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// I'm not entirely happy with implementation; to share the Schur code between herm and non-herm
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// while still having a "OpAndNorm" in the abstract base I had to implement it in both cases
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// with an assert trap in the non-herm. This isn't right; there must be a better C++ way to
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// do it, but I fear it required multiple inheritance and mixed in abstract base classes
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/////////////////////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////
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// Construct herm op from non-herm matrix
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////////////////////////////////////////////////////////////////////
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template<class Matrix,class Field>
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class MdagMLinearOperator : public LinearOperatorBase<Field> {
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Matrix &_Mat;
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public:
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MdagMLinearOperator(Matrix &Mat): _Mat(Mat){};
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void Op (const Field &in, Field &out){
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_Mat.M(in,out);
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}
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void AdjOp (const Field &in, Field &out){
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_Mat.Mdag(in,out);
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}
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void HermOpAndNorm(const Field &in, Field &out,double &n1,double &n2){
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_Mat.MdagM(in,out,n1,n2);
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}
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};
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////////////////////////////////////////////////////////////////////
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// Wrap an already herm matrix
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////////////////////////////////////////////////////////////////////
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template<class Matrix,class Field>
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class HermitianLinearOperator : public LinearOperatorBase<Field> {
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Matrix &_Mat;
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public:
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HermitianLinearOperator(Matrix &Mat): _Mat(Mat){};
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void Op (const Field &in, Field &out){
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_Mat.M(in,out);
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}
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void AdjOp (const Field &in, Field &out){
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_Mat.M(in,out);
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}
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void HermOpAndNorm(const Field &in, Field &out,double &n1,double &n2){
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ComplexD dot;
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_Mat.M(in,out);
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dot= innerProduct(in,out);
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n1=real(dot);
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dot = innerProduct(out,out);
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n2=real(dot);
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}
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};
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//////////////////////////////////////////////////////////
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// Even Odd Schur decomp operators; there are several
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// ways to introduce the even odd checkerboarding
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//////////////////////////////////////////////////////////
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template<class Field>
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class SchurOperatorBase : public LinearOperatorBase<Field> {
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public:
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virtual RealD Mpc (const Field &in, Field &out) =0;
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virtual RealD MpcDag (const Field &in, Field &out) =0;
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virtual void MpcDagMpc(const Field &in, Field &out,RealD &ni,RealD &no) {
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Field tmp(in._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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MpcDagMpc(in,out,n1,n2);
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}
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void Op (const Field &in, Field &out){
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Mpc(in,out);
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}
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void AdjOp (const Field &in, Field &out){
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MpcDag(in,out);
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}
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};
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template<class Matrix,class Field>
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class SchurDiagMooeeOperator : public SchurOperatorBase<Field> {
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Matrix &_Mat;
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public:
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SchurDiagMooeeOperator (Matrix &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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_Mat.Meooe(in,tmp);
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_Mat.MooeeInv(tmp,out);
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_Mat.Meooe(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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Field tmp(in._grid);
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_Mat.MeooeDag(in,tmp);
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_Mat.MooeeInvDag(tmp,out);
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_Mat.MeooeDag(out,tmp);
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_Mat.MooeeDag(in,out);
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return axpy_norm(out,-1.0,tmp,out);
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}
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};
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template<class Matrix,class Field>
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class SchurDiagOneOperator : public SchurOperatorBase<Field> {
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Matrix &_Mat;
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public:
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SchurDiagOneOperator (Matrix &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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_Mat.Meooe(in,tmp);
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_Mat.MooeeInv(tmp,out);
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_Mat.Meooe(out,tmp);
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_Mat.MooeeInv(tmp,out);
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return axpy_norm(out,-1.0,tmp,in);
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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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_Mat.MooeeInvDag(in,out);
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_Mat.MeooeDag(out,tmp);
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_Mat.MooeeInvDag(tmp,out);
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_Mat.MeooeDag(out,tmp);
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return axpy_norm(out,-1.0,tmp,in);
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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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/////////////////////////////////////////////////////////////
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template<class Field> class OperatorFunction {
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public:
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virtual void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) = 0;
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};
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/////////////////////////////////////////////////////////////
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// Base classes for Multishift solvers for operators
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/////////////////////////////////////////////////////////////
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template<class Field> class OperatorMultiFunction {
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public:
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virtual void operator() (LinearOperatorBase<Field> &Linop, const Field &in, std::vector<Field> &out) = 0;
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};
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// FIXME : To think about
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// Chroma functionality list defining LinearOperator
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/*
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virtual void operator() (T& chi, const T& psi, enum PlusMinus isign) const = 0;
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virtual void operator() (T& chi, const T& psi, enum PlusMinus isign, Real epsilon) const
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virtual const Subset& subset() const = 0;
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virtual unsigned long nFlops() const { return 0; }
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virtual void deriv(P& ds_u, const T& chi, const T& psi, enum PlusMinus isign) const
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class UnprecLinearOperator : public DiffLinearOperator<T,P,Q>
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const Subset& subset() const {return all;}
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};
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*/
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}
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#endif
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