mirror of
https://github.com/paboyle/Grid.git
synced 2025-06-13 04:37:05 +01:00
Merge branch 'master' of https://github.com/paboyle/Grid
Conflicts: lib/Make.inc tests/Make.inc tests/Test_remez.cc
This commit is contained in:
Peter Boyle
@ -5,14 +5,17 @@
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#include <algorithms/LinearOperator.h>
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#include <algorithms/CoarsenedMatrix.h>
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#include <algorithms/approx/Zolotarev.h>
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#include <algorithms/approx/Chebyshev.h>
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#include <algorithms/approx/Remez.h>
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#include <algorithms/approx/MultiShiftFunction.h>
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#include <algorithms/iterative/ConjugateGradient.h>
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#include <algorithms/iterative/ConjugateResidual.h>
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#include <algorithms/iterative/NormalEquations.h>
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#include <algorithms/iterative/SchurRedBlack.h>
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#include <algorithms/approx/Zolotarev.h>
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#include <algorithms/approx/Chebyshev.h>
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#include <algorithms/approx/Remez.h>
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#include <algorithms/iterative/ConjugateGradientMultiShift.h>
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// Eigen/lanczos
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// EigCg
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@ -1,4 +1,4 @@
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HFILES=./algorithms/approx/bigfloat.h ./algorithms/approx/bigfloat_double.h ./algorithms/approx/Chebyshev.h ./algorithms/approx/Remez.h ./algorithms/approx/Zolotarev.h ./algorithms/CoarsenedMatrix.h ./algorithms/iterative/ConjugateGradient.h ./algorithms/iterative/ConjugateResidual.h ./algorithms/iterative/NormalEquations.h ./algorithms/iterative/SchurRedBlack.h ./algorithms/LinearOperator.h ./algorithms/SparseMatrix.h ./Algorithms.h ./AlignedAllocator.h ./cartesian/Cartesian_base.h ./cartesian/Cartesian_full.h ./cartesian/Cartesian_red_black.h ./Cartesian.h ./communicator/Communicator_base.h ./Communicator.h ./Comparison.h ./cshift/Cshift_common.h ./cshift/Cshift_mpi.h ./cshift/Cshift_none.h ./Cshift.h ./Grid.h ./GridConfig.h ./lattice/Lattice_arith.h ./lattice/Lattice_base.h ./lattice/Lattice_comparison.h ./lattice/Lattice_conformable.h ./lattice/Lattice_coordinate.h ./lattice/Lattice_ET.h ./lattice/Lattice_local.h ./lattice/Lattice_overload.h ./lattice/Lattice_peekpoke.h ./lattice/Lattice_reality.h ./lattice/Lattice_reduction.h ./lattice/Lattice_rng.h ./lattice/Lattice_trace.h ./lattice/Lattice_transfer.h ./lattice/Lattice_transpose.h ./lattice/Lattice_where.h ./Lattice.h ./parallelIO/NerscIO.h ./qcd/action/Actions.h ./qcd/action/DiffAction.h ./qcd/action/fermion/CayleyFermion5D.h ./qcd/action/fermion/ContinuedFractionFermion5D.h ./qcd/action/fermion/DomainWallFermion.h ./qcd/action/fermion/FermionOperator.h ./qcd/action/fermion/g5HermitianLinop.h ./qcd/action/fermion/MobiusFermion.h ./qcd/action/fermion/MobiusZolotarevFermion.h ./qcd/action/fermion/OverlapWilsonCayleyTanhFermion.h ./qcd/action/fermion/OverlapWilsonCayleyZolotarevFermion.h ./qcd/action/fermion/OverlapWilsonContfracTanhFermion.h ./qcd/action/fermion/OverlapWilsonContfracZolotarevFermion.h ./qcd/action/fermion/OverlapWilsonPartialFractionTanhFermion.h ./qcd/action/fermion/OverlapWilsonPartialFractionZolotarevFermion.h ./qcd/action/fermion/PartialFractionFermion5D.h ./qcd/action/fermion/ScaledShamirFermion.h ./qcd/action/fermion/ShamirZolotarevFermion.h ./qcd/action/fermion/WilsonCompressor.h ./qcd/action/fermion/WilsonFermion.h ./qcd/action/fermion/WilsonFermion5D.h ./qcd/action/fermion/WilsonKernels.h ./qcd/action/gauge/GaugeActionBase.h ./qcd/action/gauge/WilsonGaugeAction.h ./qcd/QCD.h ./qcd/spin/Dirac.h ./qcd/spin/TwoSpinor.h ./qcd/utils/CovariantCshift.h ./qcd/utils/LinalgUtils.h ./qcd/utils/SpaceTimeGrid.h ./qcd/utils/WilsonLoops.h ./simd/Grid_avx.h ./simd/Grid_avx512.h ./simd/Grid_qpx.h ./simd/Grid_sse4.h ./simd/Grid_vector_types.h ./simd/Old/Grid_vComplexD.h ./simd/Old/Grid_vComplexF.h ./simd/Old/Grid_vInteger.h ./simd/Old/Grid_vRealD.h ./simd/Old/Grid_vRealF.h ./Simd.h ./stencil/Lebesgue.h ./Stencil.h ./tensors/Tensor_arith.h ./tensors/Tensor_arith_add.h ./tensors/Tensor_arith_mac.h ./tensors/Tensor_arith_mul.h ./tensors/Tensor_arith_scalar.h ./tensors/Tensor_arith_sub.h ./tensors/Tensor_class.h ./tensors/Tensor_extract_merge.h ./tensors/Tensor_inner.h ./tensors/Tensor_outer.h ./tensors/Tensor_peek.h ./tensors/Tensor_poke.h ./tensors/Tensor_reality.h ./tensors/Tensor_Ta.h ./tensors/Tensor_trace.h ./tensors/Tensor_traits.h ./tensors/Tensor_transpose.h ./Tensors.h ./Threads.h
|
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HFILES=./algorithms/approx/bigfloat.h ./algorithms/approx/bigfloat_double.h ./algorithms/approx/Chebyshev.h ./algorithms/approx/MultiShiftFunction.h ./algorithms/approx/Remez.h ./algorithms/approx/Zolotarev.h ./algorithms/CoarsenedMatrix.h ./algorithms/iterative/ConjugateGradient.h ./algorithms/iterative/ConjugateGradientMultiShift.h ./algorithms/iterative/ConjugateResidual.h ./algorithms/iterative/NormalEquations.h ./algorithms/iterative/SchurRedBlack.h ./algorithms/LinearOperator.h ./algorithms/SparseMatrix.h ./Algorithms.h ./AlignedAllocator.h ./cartesian/Cartesian_base.h ./cartesian/Cartesian_full.h ./cartesian/Cartesian_red_black.h ./Cartesian.h ./communicator/Communicator_base.h ./Communicator.h ./Comparison.h ./cshift/Cshift_common.h ./cshift/Cshift_mpi.h ./cshift/Cshift_none.h ./Cshift.h ./Grid.h ./GridConfig.h ./lattice/Lattice_arith.h ./lattice/Lattice_base.h ./lattice/Lattice_comparison.h ./lattice/Lattice_conformable.h ./lattice/Lattice_coordinate.h ./lattice/Lattice_ET.h ./lattice/Lattice_local.h ./lattice/Lattice_overload.h ./lattice/Lattice_peekpoke.h ./lattice/Lattice_reality.h ./lattice/Lattice_reduction.h ./lattice/Lattice_rng.h ./lattice/Lattice_trace.h ./lattice/Lattice_transfer.h ./lattice/Lattice_transpose.h ./lattice/Lattice_unary.h ./lattice/Lattice_where.h ./Lattice.h ./parallelIO/NerscIO.h ./qcd/action/Actions.h ./qcd/action/DiffAction.h ./qcd/action/fermion/CayleyFermion5D.h ./qcd/action/fermion/ContinuedFractionFermion5D.h ./qcd/action/fermion/DomainWallFermion.h ./qcd/action/fermion/FermionOperator.h ./qcd/action/fermion/g5HermitianLinop.h ./qcd/action/fermion/MobiusFermion.h ./qcd/action/fermion/MobiusZolotarevFermion.h ./qcd/action/fermion/OverlapWilsonCayleyTanhFermion.h ./qcd/action/fermion/OverlapWilsonCayleyZolotarevFermion.h ./qcd/action/fermion/OverlapWilsonContfracTanhFermion.h ./qcd/action/fermion/OverlapWilsonContfracZolotarevFermion.h ./qcd/action/fermion/OverlapWilsonPartialFractionTanhFermion.h ./qcd/action/fermion/OverlapWilsonPartialFractionZolotarevFermion.h ./qcd/action/fermion/PartialFractionFermion5D.h ./qcd/action/fermion/ScaledShamirFermion.h ./qcd/action/fermion/ShamirZolotarevFermion.h ./qcd/action/fermion/WilsonCompressor.h ./qcd/action/fermion/WilsonFermion.h ./qcd/action/fermion/WilsonFermion5D.h ./qcd/action/fermion/WilsonKernels.h ./qcd/action/gauge/GaugeActionBase.h ./qcd/action/gauge/WilsonGaugeAction.h ./qcd/QCD.h ./qcd/spin/Dirac.h ./qcd/spin/TwoSpinor.h ./qcd/utils/CovariantCshift.h ./qcd/utils/LinalgUtils.h ./qcd/utils/SpaceTimeGrid.h ./qcd/utils/WilsonLoops.h ./simd/Grid_avx.h ./simd/Grid_avx512.h ./simd/Grid_qpx.h ./simd/Grid_sse4.h ./simd/Grid_vector_types.h ./simd/Grid_vector_unops.h ./simd/Old/Grid_vComplexD.h ./simd/Old/Grid_vComplexF.h ./simd/Old/Grid_vInteger.h ./simd/Old/Grid_vRealD.h ./simd/Old/Grid_vRealF.h ./Simd.h ./stencil/Lebesgue.h ./Stencil.h ./tensors/Tensor_arith.h ./tensors/Tensor_arith_add.h ./tensors/Tensor_arith_mac.h ./tensors/Tensor_arith_mul.h ./tensors/Tensor_arith_scalar.h ./tensors/Tensor_arith_sub.h ./tensors/Tensor_class.h ./tensors/Tensor_extract_merge.h ./tensors/Tensor_inner.h ./tensors/Tensor_outer.h ./tensors/Tensor_peek.h ./tensors/Tensor_poke.h ./tensors/Tensor_reality.h ./tensors/Tensor_Ta.h ./tensors/Tensor_trace.h ./tensors/Tensor_traits.h ./tensors/Tensor_transpose.h ./tensors/Tensor_unary.h ./Tensors.h ./Threads.h
|
||||
|
||||
CCFILES=./algorithms/approx/Remez.cc ./algorithms/approx/Zolotarev.cc ./GridInit.cc ./qcd/action/fermion/CayleyFermion5D.cc ./qcd/action/fermion/ContinuedFractionFermion5D.cc ./qcd/action/fermion/PartialFractionFermion5D.cc ./qcd/action/fermion/WilsonFermion.cc ./qcd/action/fermion/WilsonFermion5D.cc ./qcd/action/fermion/WilsonKernels.cc ./qcd/action/fermion/WilsonKernelsHand.cc ./qcd/spin/Dirac.cc ./qcd/utils/SpaceTimeGrid.cc ./stencil/Lebesgue.cc ./stencil/Stencil_common.cc
|
||||
CCFILES=./algorithms/approx/MultiShiftFunction.cc ./algorithms/approx/Remez.cc ./algorithms/approx/Zolotarev.cc ./GridInit.cc ./qcd/action/fermion/CayleyFermion5D.cc ./qcd/action/fermion/ContinuedFractionFermion5D.cc ./qcd/action/fermion/PartialFractionFermion5D.cc ./qcd/action/fermion/WilsonFermion.cc ./qcd/action/fermion/WilsonFermion5D.cc ./qcd/action/fermion/WilsonKernels.cc ./qcd/action/fermion/WilsonKernelsHand.cc ./qcd/spin/Dirac.cc ./qcd/utils/SpaceTimeGrid.cc ./stencil/Lebesgue.cc ./stencil/Stencil_common.cc
|
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|
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@ -207,6 +207,14 @@ namespace Grid {
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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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/////////////////////////////////////////////////////////////
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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:
|
||||
virtual void operator() (LinearOperatorBase<Field> &Linop, const Field &in, std::vector<Field> &out) = 0;
|
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};
|
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|
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// FIXME : To think about
|
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|
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// Chroma functionality list defining LinearOperator
|
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|
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29
lib/algorithms/approx/MultiShiftFunction.cc
Normal file
29
lib/algorithms/approx/MultiShiftFunction.cc
Normal file
@ -0,0 +1,29 @@
|
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#include <Grid.h>
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|
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namespace Grid {
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double MultiShiftFunction::approx(double x)
|
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{
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double a = norm;
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for(int n=0;n<poles.size();n++){
|
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a = a + residues[n]/(x+poles[n]);
|
||||
}
|
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return a;
|
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}
|
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void MultiShiftFunction::gnuplot(std::ostream &out)
|
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{
|
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out<<"f(x) = "<<norm<<"";
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for(int n=0;n<poles.size();n++){
|
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out<<"+("<<residues[n]<<"/(x+"<<poles[n]<<"))";
|
||||
}
|
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out<<";"<<std::endl;
|
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}
|
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void MultiShiftFunction::csv(std::ostream &out)
|
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{
|
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for (double x=lo; x<hi; x*=1.05) {
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double f = approx(x);
|
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double r = sqrt(x);
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out<< x<<","<<r<<","<<f<<","<<r-f<<std::endl;
|
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}
|
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return;
|
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}
|
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}
|
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28
lib/algorithms/approx/MultiShiftFunction.h
Normal file
28
lib/algorithms/approx/MultiShiftFunction.h
Normal file
@ -0,0 +1,28 @@
|
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#ifndef MULTI_SHIFT_FUNCTION
|
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#define MULTI_SHIFT_FUNCTION
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namespace Grid {
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class MultiShiftFunction {
|
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public:
|
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int order;
|
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std::vector<RealD> poles;
|
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std::vector<RealD> residues;
|
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std::vector<RealD> tolerances;
|
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RealD norm;
|
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RealD lo,hi;
|
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MultiShiftFunction(int n,RealD _lo,RealD _hi): poles(n), residues(n), lo(_lo), hi(_hi) {;};
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RealD approx(RealD x);
|
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void csv(std::ostream &out);
|
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void gnuplot(std::ostream &out);
|
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MultiShiftFunction(AlgRemez & remez,double tol,bool inverse) :
|
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order(remez.getDegree()),
|
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tolerances(remez.getDegree(),tol),
|
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poles(remez.getDegree()),
|
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residues(remez.getDegree())
|
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{
|
||||
remez.getBounds(lo,hi);
|
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if ( inverse ) remez.getIPFE (&residues[0],&poles[0],&norm);
|
||||
else remez.getPFE (&residues[0],&poles[0],&norm);
|
||||
}
|
||||
};
|
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}
|
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#endif
|
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@ -125,8 +125,17 @@ class AlgRemez
|
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// Destructor
|
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virtual ~AlgRemez();
|
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int getDegree(void){
|
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assert(n==d);
|
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return n;
|
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}
|
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// Reset the bounds of the approximation
|
||||
void setBounds(double lower, double upper);
|
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// Reset the bounds of the approximation
|
||||
void getBounds(double &lower, double &upper) {
|
||||
lower=(double)apstrt;
|
||||
upper=(double)apend;
|
||||
}
|
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|
||||
// Generate the rational approximation x^(pnum/pden)
|
||||
double generateApprox(int num_degree, int den_degree,
|
||||
|
||||
250
lib/algorithms/iterative/ConjugateGradientMultiShift.h
Normal file
250
lib/algorithms/iterative/ConjugateGradientMultiShift.h
Normal file
@ -0,0 +1,250 @@
|
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#ifndef GRID_CONJUGATE_MULTI_SHIFT_GRADIENT_H
|
||||
#define GRID_CONJUGATE_MULTI_SHIFT_GRADIENT_H
|
||||
|
||||
namespace Grid {
|
||||
|
||||
/////////////////////////////////////////////////////////////
|
||||
// Base classes for iterative processes based on operators
|
||||
// single input vec, single output vec.
|
||||
/////////////////////////////////////////////////////////////
|
||||
|
||||
template<class Field>
|
||||
class ConjugateGradientMultiShift : public OperatorMultiFunction<Field>,
|
||||
public OperatorFunction<Field>
|
||||
{
|
||||
public:
|
||||
RealD Tolerance;
|
||||
Integer MaxIterations;
|
||||
int verbose;
|
||||
MultiShiftFunction shifts;
|
||||
|
||||
ConjugateGradientMultiShift(Integer maxit,MultiShiftFunction &_shifts) :
|
||||
MaxIterations(maxit),
|
||||
shifts(_shifts)
|
||||
{
|
||||
verbose=1;
|
||||
}
|
||||
|
||||
void operator() (LinearOperatorBase<Field> &Linop, const Field &src, Field &psi)
|
||||
{
|
||||
|
||||
GridBase *grid = src._grid;
|
||||
int nshift = shifts.order;
|
||||
std::vector<Field> results(nshift,grid);
|
||||
|
||||
(*this)(Linop,src,results);
|
||||
|
||||
psi = shifts.norm*src;
|
||||
for(int i=0;i<nshift;i++){
|
||||
psi = psi + shifts.residues[i]*results[i];
|
||||
}
|
||||
|
||||
return;
|
||||
}
|
||||
|
||||
void operator() (LinearOperatorBase<Field> &Linop, const Field &src, std::vector<Field> &psi)
|
||||
{
|
||||
|
||||
GridBase *grid = src._grid;
|
||||
|
||||
////////////////////////////////////////////////////////////////////////
|
||||
// Convenience references to the info stored in "MultiShiftFunction"
|
||||
////////////////////////////////////////////////////////////////////////
|
||||
int nshift = shifts.order;
|
||||
|
||||
std::vector<RealD> &mass(shifts.poles); // Make references to array in "shifts"
|
||||
std::vector<RealD> &mresidual(shifts.tolerances);
|
||||
std::vector<RealD> alpha(nshift,1.0);
|
||||
std::vector<Field> ps(nshift,grid);// Search directions
|
||||
|
||||
assert(psi.size()==nshift);
|
||||
assert(mass.size()==nshift);
|
||||
assert(mresidual.size()==nshift);
|
||||
|
||||
// dynamic sized arrays on stack; 2d is a pain with vector
|
||||
RealD bs[nshift];
|
||||
RealD rsq[nshift];
|
||||
RealD z[nshift][2];
|
||||
int converged[nshift];
|
||||
|
||||
const int primary =0;
|
||||
|
||||
//Primary shift fields CG iteration
|
||||
RealD a,b,c,d;
|
||||
RealD cp,bp,qq; //prev
|
||||
|
||||
// Matrix mult fields
|
||||
Field r(grid);
|
||||
Field p(grid);
|
||||
Field tmp(grid);
|
||||
Field mmp(grid);
|
||||
|
||||
// Check lightest mass
|
||||
for(int s=0;s<nshift;s++){
|
||||
assert( mass[s]>= mass[primary] );
|
||||
converged[s]=0;
|
||||
}
|
||||
|
||||
// Wire guess to zero
|
||||
// Residuals "r" are src
|
||||
// First search direction "p" is also src
|
||||
cp = norm2(src);
|
||||
for(int s=0;s<nshift;s++){
|
||||
rsq[s] = cp * mresidual[s] * mresidual[s];
|
||||
std::cout<<"ConjugateGradientMultiShift: shift "<<s
|
||||
<<" target resid "<<rsq[s]<<std::endl;
|
||||
ps[s] = src;
|
||||
}
|
||||
// r and p for primary
|
||||
r=src;
|
||||
p=src;
|
||||
|
||||
//MdagM+m[0]
|
||||
Linop.HermOpAndNorm(p,mmp,d,qq);
|
||||
axpy(mmp,mass[0],p,mmp);
|
||||
RealD rn = norm2(p);
|
||||
d += rn*mass[0];
|
||||
|
||||
// have verified that inner product of
|
||||
// p and mmp is equal to d after this since
|
||||
// the d computation is tricky
|
||||
// qq = real(innerProduct(p,mmp));
|
||||
// std::cout << "debug equal ? qq "<<qq<<" d "<< d<<std::endl;
|
||||
|
||||
b = -cp /d;
|
||||
|
||||
// Set up the various shift variables
|
||||
int iz=0;
|
||||
z[0][1-iz] = 1.0;
|
||||
z[0][iz] = 1.0;
|
||||
bs[0] = b;
|
||||
for(int s=1;s<nshift;s++){
|
||||
z[s][1-iz] = 1.0;
|
||||
z[s][iz] = 1.0/( 1.0 - b*(mass[s]-mass[0]));
|
||||
bs[s] = b*z[s][iz];
|
||||
}
|
||||
|
||||
// r += b[0] A.p[0]
|
||||
// c= norm(r)
|
||||
c=axpy_norm(r,b,mmp,r);
|
||||
|
||||
for(int s=0;s<nshift;s++) {
|
||||
axpby(psi[s],0.,-bs[s]*alpha[s],src,src);
|
||||
}
|
||||
|
||||
|
||||
// Iteration loop
|
||||
int k;
|
||||
|
||||
for (k=1;k<=MaxIterations;k++){
|
||||
|
||||
a = c /cp;
|
||||
axpy(p,a,p,r);
|
||||
|
||||
// Note to self - direction ps is iterated seperately
|
||||
// for each shift. Does not appear to have any scope
|
||||
// for avoiding linear algebra in "single" case.
|
||||
//
|
||||
// However SAME r is used. Could load "r" and update
|
||||
// ALL ps[s]. 2/3 Bandwidth saving
|
||||
// New Kernel: Load r, vector of coeffs, vector of pointers ps
|
||||
for(int s=0;s<nshift;s++){
|
||||
if ( ! converged[s] ) {
|
||||
if (s==0){
|
||||
axpy(ps[s],a,ps[s],r);
|
||||
} else{
|
||||
RealD as =a *z[s][iz]*bs[s] /(z[s][1-iz]*b);
|
||||
axpby(ps[s],z[s][iz],as,r,ps[s]);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
cp=c;
|
||||
|
||||
Linop.HermOpAndNorm(p,mmp,d,qq);
|
||||
axpy(mmp,mass[0],p,mmp);
|
||||
RealD rn = norm2(p);
|
||||
d += rn*mass[0];
|
||||
|
||||
bp=b;
|
||||
b=-cp/d;
|
||||
|
||||
c=axpy_norm(r,b,mmp,r);
|
||||
|
||||
// Toggle the recurrence history
|
||||
bs[0] = b;
|
||||
iz = 1-iz;
|
||||
for(int s=1;s<nshift;s++){
|
||||
if((!converged[s])){
|
||||
RealD z0 = z[s][1-iz];
|
||||
RealD z1 = z[s][iz];
|
||||
z[s][iz] = z0*z1*bp
|
||||
/ (b*a*(z1-z0) + z1*bp*(1- (mass[s]-mass[0])*b));
|
||||
bs[s] = b*z[s][iz]/z0; // NB sign rel to Mike
|
||||
}
|
||||
}
|
||||
|
||||
for(int s=0;s<nshift;s++){
|
||||
int ss = s;
|
||||
// Scope for optimisation here in case of "single".
|
||||
// Could load psi[0] and pull all ps[s] in.
|
||||
// if ( single ) ss=primary;
|
||||
// Bandwith saving in single case is Ls * 3 -> 2+Ls, so ~ 3x saving
|
||||
// Pipelined CG gain:
|
||||
//
|
||||
// New Kernel: Load r, vector of coeffs, vector of pointers ps
|
||||
// New Kernel: Load psi[0], vector of coeffs, vector of pointers ps
|
||||
// If can predict the coefficient bs then we can fuse these and avoid write reread cyce
|
||||
// on ps[s].
|
||||
// Before: 3 x npole + 3 x npole
|
||||
// After : 2 x npole (ps[s]) => 3x speed up of multishift CG.
|
||||
|
||||
if( (!converged[s]) ) {
|
||||
axpy(psi[ss],-bs[s]*alpha[s],ps[s],psi[ss]);
|
||||
}
|
||||
}
|
||||
|
||||
// Convergence checks
|
||||
int all_converged = 1;
|
||||
for(int s=0;s<nshift;s++){
|
||||
|
||||
if ( (!converged[s]) ){
|
||||
|
||||
RealD css = c * z[s][iz]* z[s][iz];
|
||||
|
||||
if(css<rsq[s]){
|
||||
if ( ! converged[s] )
|
||||
std::cout<<"ConjugateGradientMultiShift k="<<k<<" Shift "<<s<<" has converged"<<std::endl;
|
||||
converged[s]=1;
|
||||
} else {
|
||||
all_converged=0;
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
|
||||
if ( all_converged ){
|
||||
|
||||
std::cout<< "CGMultiShift: All shifts have converged iteration "<<k<<std::endl;
|
||||
std::cout<< "CGMultiShift: Checking solutions"<<std::endl;
|
||||
|
||||
// Check answers
|
||||
for(int s=0; s < nshift; s++) {
|
||||
Linop.HermOpAndNorm(psi[s],mmp,d,qq);
|
||||
axpy(tmp,mass[s],psi[s],mmp);
|
||||
axpy(r,-alpha[s],src,tmp);
|
||||
RealD rn = norm2(r);
|
||||
RealD cn = norm2(src);
|
||||
std::cout<<"CGMultiShift: shift["<<s<<"] true residual "<<std::sqrt(rn/cn)<<std::endl;
|
||||
}
|
||||
return;
|
||||
}
|
||||
}
|
||||
// ugly hack
|
||||
std::cout<<"CG multi shift did not converge"<<std::endl;
|
||||
assert(0);
|
||||
}
|
||||
|
||||
};
|
||||
}
|
||||
#endif
|
||||
Reference in New Issue
Block a user