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Updates now schur red black solver working

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This commit is contained in:
Peter Boyle
2015-05-25 13:43:58 +01:00
parent ac99832d21
commit 624c0ac3ef
3 changed files with 82 additions and 58 deletions
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18
lib/algorithms/SparseMatrix.h
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@@ -10,6 +10,7 @@ namespace Grid {
/////////////////////////////////////////////////////////////////////////////////////////////
template<class Field> class SparseMatrixBase {
public:
GridBase *_grid;
// Full checkerboar operations
virtual RealD M (const Field &in, Field &out)=0;
virtual RealD Mdag (const Field &in, Field &out)=0;
@@ -18,6 +19,7 @@ namespace Grid {
ni=M(in,tmp);
no=Mdag(tmp,out);
}
SparseMatrixBase(GridBase *grid) : _grid(grid) {};
};
/////////////////////////////////////////////////////////////////////////////////////////////
@@ -25,7 +27,7 @@ namespace Grid {
/////////////////////////////////////////////////////////////////////////////////////////////
template<class Field> class CheckerBoardedSparseMatrixBase : public SparseMatrixBase<Field> {
public:
GridBase *_cbgrid;
// half checkerboard operaions
virtual void Meooe (const Field &in, Field &out)=0;
virtual void Mooee (const Field &in, Field &out)=0;
@@ -44,9 +46,7 @@ namespace Grid {
Meooe(out,tmp);
Mooee(in,out);
out=out-tmp; // axpy_norm
RealD n=norm2(out);
return n;
return axpy_norm(out,-1.0,tmp,out);
}
virtual RealD MpcDag (const Field &in, Field &out){
Field tmp(in._grid);
@@ -56,15 +56,15 @@ namespace Grid {
MeooeDag(out,tmp);
MooeeDag(in,out);
out=out-tmp; // axpy_norm
RealD n=norm2(out);
return n;
return axpy_norm(out,-1.0,tmp,out);
}
virtual void MpcDagMpc(const Field &in, Field &out,RealD ni,RealD no) {
virtual void MpcDagMpc(const Field &in, Field &out,RealD &ni,RealD &no) {
Field tmp(in._grid);
ni=Mpc(in,tmp);
no=Mpc(tmp,out);
no=MpcDag(tmp,out);
// std::cout<<"MpcDagMpc "<<ni<<" "<<no<<std::endl;
}
CheckerBoardedSparseMatrixBase(GridBase *grid,GridBase *cbgrid) : SparseMatrixBase<Field>(grid), _cbgrid(cbgrid) {};
};
}

41
lib/algorithms/iterative/ConjugateGradient.h
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@@ -9,17 +9,21 @@ namespace Grid {
/////////////////////////////////////////////////////////////
template<class Field>
class ConjugateGradient : public OperatorFunction<Field> {
class ConjugateGradient : public HermitianOperatorFunction<Field> {
public:
RealD Tolerance;
Integer MaxIterations;
int verbose;
ConjugateGradient(RealD tol,Integer maxit) : Tolerance(tol), MaxIterations(maxit) {
verbose=0;
};
void operator() (LinearOperatorBase<Field> &Linop,const Field &src, Field &psi) {assert(0);};
void operator() (HermitianOperatorBase<Field> &Linop,const Field &src, Field &psi){
psi.checkerboard = src.checkerboard;
conformable(psi,src);
RealD cp,c,a,d,b,ssq,qq,b_pred;
Field p(src);
@@ -38,12 +42,14 @@ public:
cp =a;
ssq=norm2(src);
std::cout <<std::setprecision(4)<< "ConjugateGradient: guess "<<guess<<std::endl;
std::cout <<std::setprecision(4)<< "ConjugateGradient: src "<<ssq <<std::endl;
std::cout <<std::setprecision(4)<< "ConjugateGradient: mp "<<d <<std::endl;
std::cout <<std::setprecision(4)<< "ConjugateGradient: mmp "<<b <<std::endl;
std::cout <<std::setprecision(4)<< "ConjugateGradient: r "<<cp <<std::endl;
std::cout <<std::setprecision(4)<< "ConjugateGradient: p "<<a <<std::endl;
if ( verbose ) {
std::cout <<std::setprecision(4)<< "ConjugateGradient: guess "<<guess<<std::endl;
std::cout <<std::setprecision(4)<< "ConjugateGradient: src "<<ssq <<std::endl;
std::cout <<std::setprecision(4)<< "ConjugateGradient: mp "<<d <<std::endl;
std::cout <<std::setprecision(4)<< "ConjugateGradient: mmp "<<b <<std::endl;
std::cout <<std::setprecision(4)<< "ConjugateGradient: cp,r "<<cp <<std::endl;
std::cout <<std::setprecision(4)<< "ConjugateGradient: p "<<a <<std::endl;
}
RealD rsq = Tolerance* Tolerance*ssq;
@@ -61,13 +67,15 @@ public:
Linop.OpAndNorm(p,mmp,d,qq);
// std::cout <<std::setprecision(4)<< "ConjugateGradient: d,qq "<<d<< " "<<qq <<std::endl;
RealD qqck = norm2(mmp);
ComplexD dck = innerProduct(p,mmp);
// if (verbose) std::cout <<std::setprecision(4)<< "ConjugateGradient: d,qq "<<d<< " "<<qq <<" qqcheck "<< qqck<< " dck "<< dck<<std::endl;
a = c/d;
b_pred = a*(a*qq-d)/c;
// std::cout <<std::setprecision(4)<< "ConjugateGradient: a,bp "<<a<< " "<<b_pred <<std::endl;
// if (verbose) std::cout <<std::setprecision(4)<< "ConjugateGradient: a,bp "<<a<< " "<<b_pred <<std::endl;
cp = axpy_norm(r,-a,mmp,r);
b = cp/c;
// std::cout <<std::setprecision(4)<< "ConjugateGradient: cp,b "<<cp<< " "<<b <<std::endl;
@@ -76,7 +84,16 @@ public:
psi= a*p+psi;
p = p*b+r;
std::cout<<"ConjugateGradient: Iteration " <<k<<" residual "<<cp<< " target"<< rsq<<std::endl;
if (verbose) std::cout<<"ConjugateGradient: Iteration " <<k<<" residual "<<cp<< " target"<< rsq<<std::endl;
// Hack
if (0) {
Field tt(src);
Linop.Op(psi,mmp);
tt=mmp-src;
RealD resnorm = norm2(tt);
std::cout<<"ConjugateGradient: Iteration " <<k<<" true residual "<<resnorm << " computed " << cp <<std::endl;
}
// Stopping condition
if ( cp <= rsq ) {

69
lib/algorithms/iterative/SchurRedBlack.h
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@@ -1,6 +1,7 @@
#ifndef GRID_SCHUR_RED_BLACK_H
#define GRID_SCHUR_RED_BLACK_H
/*
* Red black Schur decomposition
*
@@ -25,53 +26,50 @@
* M psi = eta
***********************
*Odd
* i) (D_oo)^{\dag} D_oo psi_o = (D_oo)^\dag L^{-1} eta_o
* eta_o' = D_oo (eta_o - Moe Mee^{-1} eta_e)
* i) (D_oo)^{\dag} D_oo psi_o = (D_oo)^dag L^{-1} eta_o
* eta_o' = (D_oo)^dag (eta_o - Moe Mee^{-1} eta_e)
*Even
* ii) Mee psi_e + Meo psi_o = src_e
*
* => sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
*
*/
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 SchurRedBlackSolve : public OperatorFunction<Field>{
template<class Field> class SchurRedBlackSolve {
private:
SparseMatrixBase<Field> & _Matrix;
OperatorFunction<Field> & _HermitianRBSolver;
HermitianOperatorFunction<Field> & _HermitianRBSolver;
int CBfactorise;
public:
/////////////////////////////////////////////////////
// Wrap the usual normal equations Schur trick
/////////////////////////////////////////////////////
SchurRedBlackSolve(SparseMatrixBase<Field> &Matrix, OperatorFunction<Field> &HermitianRBSolver)
: _Matrix(Matrix), _HermitianRBSolver(HermitianRBSolver) {
SchurRedBlackSolve(HermitianOperatorFunction<Field> &HermitianRBSolver) :
_HermitianRBSolver(HermitianRBSolver)
{
CBfactorise=0;
};
void operator() (const Field &in, Field &out){
template<class Matrix>
void operator() (Matrix & _Matrix,const Field &in, Field &out){
// FIXME CGdiagonalMee not implemented virtual function
// FIXME need to make eo grid from full grid.
// FIXME use CBfactorise to control schur decomp
const int Even=0;
const int Odd =1;
GridBase *grid = _Matrix._cbgrid;
GridBase *fgrid= _Matrix._grid;
// Make a cartesianRedBlack from full Grid
GridRedBlackCartesian grid(in._grid);
Field src_e(&grid);
Field src_o(&grid);
Field sol_e(&grid);
Field sol_o(&grid);
Field tmp(&grid);
Field Mtmp(&grid);
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);
@@ -79,26 +77,35 @@ namespace Grid {
/////////////////////////////////////////////////////
// src_o = Mdag * (source_o - Moe MeeInv source_e)
/////////////////////////////////////////////////////
_Matrix.MooeeInv(src_e,tmp); // MooeeInv(source[Even],tmp,DaggerNo,Even);
_Matrix.Meooe (tmp,Mtmp); // Meo (tmp,src,Odd,DaggerNo);
tmp=src_o-Mtmp; // axpy (tmp,src,source[Odd],-1.0);
_Matrix.MpcDag(tmp,src_o); // Mprec(tmp,src,Mtmp,DaggerYes);
_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.MpcDag(tmp,src_o); assert(src_o.checkerboard ==Odd);
//////////////////////////////////////////////////////////////
// Call the red-black solver
//////////////////////////////////////////////////////////////
_HermitianRBSolver(src_o,sol_o); // CGNE_prec_MdagM(solution[Odd],src);
HermitianCheckerBoardedOperator<Matrix,Field> _HermOpEO(_Matrix);
std::cout << "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); // Meo(solution[Odd],tmp,Even,DaggerNo);
src_e = src_e-tmp; // axpy(src,tmp,source[Even],-1.0);
_Matrix.MooeeInv(src_e,sol_e); // MooeeInv(src,solution[Even],DaggerNo,Even);
_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);
setCheckerboard(out,sol_o);
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 << "SchurRedBlack solver true unprec resid "<< sqrt(nr/ns) <<" nr "<< nr <<" ns "<<ns << std::endl;
}
};