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Check in compact version of wilson clover fermions
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494
Grid/qcd/action/fermion/CompactWilsonCloverFermion.h
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494
Grid/qcd/action/fermion/CompactWilsonCloverFermion.h
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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./lib/qcd/action/fermion/CompactWilsonCloverFermion.h
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Copyright (C) 2020 - 2022
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Author: Daniel Richtmann <daniel.richtmann@gmail.com>
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Author: Nils Meyer <nils.meyer@ur.de>
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License along
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with this program; if not, write to the Free Software Foundation, Inc.,
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51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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See the full license in the file "LICENSE" in the top level distribution directory
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*************************************************************************************/
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/* END LEGAL */
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#pragma once
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#include <Grid/qcd/action/fermion/WilsonCloverTypes.h>
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#include <Grid/qcd/action/fermion/WilsonCloverHelpers.h>
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NAMESPACE_BEGIN(Grid);
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// see Grid/qcd/action/fermion/WilsonCloverFermion.h for description
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//
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// Modifications done here:
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//
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// Original: clover term = 12x12 matrix per site
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//
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// But: Only two diagonal 6x6 hermitian blocks are non-zero (also true for original, verified by running)
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// Sufficient to store/transfer only the real parts of the diagonal and one triangular part
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// 2 * (6 + 15 * 2) = 72 real or 36 complex words to be stored/transfered
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//
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// Here: Above but diagonal as complex numbers, i.e., need to store/transfer
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// 2 * (6 * 2 + 15 * 2) = 84 real or 42 complex words
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//
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// Words per site and improvement compared to original (combined with the input and output spinors):
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//
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// - Original: 2*12 + 12*12 = 168 words -> 1.00 x less
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// - Minimal: 2*12 + 36 = 60 words -> 2.80 x less
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// - Here: 2*12 + 42 = 66 words -> 2.55 x less
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//
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// These improvements directly translate to wall-clock time
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//
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// Data layout:
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//
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// - diagonal and triangle part as separate lattice fields,
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// this was faster than as 1 combined field on all tested machines
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// - diagonal: as expected
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// - triangle: store upper right triangle in row major order
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// - graphical:
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// 0 1 2 3 4
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// 5 6 7 8
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// 9 10 11 = upper right triangle indices
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// 12 13
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// 14
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// 0
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// 1
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// 2
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// 3 = diagonal indices
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// 4
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// 5
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// 0
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// 1 5
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// 2 6 9 = lower left triangle indices
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// 3 7 10 12
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// 4 8 11 13 14
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//
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// Impact on total memory consumption:
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// - Original: (2 * 1 + 8 * 1/2) 12x12 matrices = 6 12x12 matrices = 864 complex words per site
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// - Here: (2 * 1 + 4 * 1/2) diagonal parts = 4 diagonal parts = 24 complex words per site
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// + (2 * 1 + 4 * 1/2) triangle parts = 4 triangle parts = 60 complex words per site
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// = 84 complex words per site
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template<class Impl>
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class CompactWilsonCloverFermion : public WilsonFermion<Impl>,
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public WilsonCloverHelpers<Impl>,
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public CompactWilsonCloverHelpers<Impl> {
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/////////////////////////////////////////////
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// Sizes
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/////////////////////////////////////////////
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public:
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INHERIT_COMPACT_CLOVER_SIZES(Impl);
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/////////////////////////////////////////////
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// Type definitions
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/////////////////////////////////////////////
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public:
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INHERIT_IMPL_TYPES(Impl);
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INHERIT_CLOVER_TYPES(Impl);
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INHERIT_COMPACT_CLOVER_TYPES(Impl);
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typedef WilsonFermion<Impl> WilsonBase;
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typedef WilsonCloverHelpers<Impl> Helpers;
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typedef CompactWilsonCloverHelpers<Impl> CompactHelpers;
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/////////////////////////////////////////////
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// Constructors
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/////////////////////////////////////////////
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public:
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CompactWilsonCloverFermion(GaugeField& _Umu,
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GridCartesian& Fgrid,
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GridRedBlackCartesian& Hgrid,
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const RealD _mass,
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const RealD _csw_r = 0.0,
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const RealD _csw_t = 0.0,
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const RealD _cF = 1.0,
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const WilsonAnisotropyCoefficients& clover_anisotropy = WilsonAnisotropyCoefficients(),
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const ImplParams& impl_p = ImplParams())
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: WilsonBase(_Umu, Fgrid, Hgrid, _mass, impl_p, clover_anisotropy)
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, csw_r(_csw_r)
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, csw_t(_csw_t)
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, cF(_cF)
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, open_boundaries(impl_p.boundary_phases[Nd-1] == 0.0)
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, Diagonal(&Fgrid), Triangle(&Fgrid)
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, DiagonalEven(&Hgrid), TriangleEven(&Hgrid)
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, DiagonalOdd(&Hgrid), TriangleOdd(&Hgrid)
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, DiagonalInv(&Fgrid), TriangleInv(&Fgrid)
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, DiagonalInvEven(&Hgrid), TriangleInvEven(&Hgrid)
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, DiagonalInvOdd(&Hgrid), TriangleInvOdd(&Hgrid)
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, Tmp(&Fgrid)
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, BoundaryMask(&Fgrid)
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, BoundaryMaskEven(&Hgrid), BoundaryMaskOdd(&Hgrid)
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{
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csw_r *= 0.5;
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csw_t *= 0.5;
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if (clover_anisotropy.isAnisotropic)
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csw_r /= clover_anisotropy.xi_0;
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ImportGauge(_Umu);
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if (open_boundaries)
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CompactHelpers::SetupMasks(this->BoundaryMask, this->BoundaryMaskEven, this->BoundaryMaskOdd);
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}
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/////////////////////////////////////////////
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// Member functions (implementing interface)
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/////////////////////////////////////////////
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public:
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virtual void Instantiatable() {};
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int ConstEE() override { return 0; };
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int isTrivialEE() override { return 0; };
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void Dhop(const FermionField& in, FermionField& out, int dag) override {
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WilsonBase::Dhop(in, out, dag);
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if(open_boundaries) ApplyBoundaryMask(out);
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}
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void DhopOE(const FermionField& in, FermionField& out, int dag) override {
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WilsonBase::DhopOE(in, out, dag);
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if(open_boundaries) ApplyBoundaryMask(out);
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}
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void DhopEO(const FermionField& in, FermionField& out, int dag) override {
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WilsonBase::DhopEO(in, out, dag);
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if(open_boundaries) ApplyBoundaryMask(out);
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}
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void DhopDir(const FermionField& in, FermionField& out, int dir, int disp) override {
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WilsonBase::DhopDir(in, out, dir, disp);
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if(this->open_boundaries) ApplyBoundaryMask(out);
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}
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void DhopDirAll(const FermionField& in, std::vector<FermionField>& out) /* override */ {
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WilsonBase::DhopDirAll(in, out);
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if(this->open_boundaries) {
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for(auto& o : out) ApplyBoundaryMask(o);
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}
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}
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void M(const FermionField& in, FermionField& out) override {
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out.Checkerboard() = in.Checkerboard();
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WilsonBase::Dhop(in, out, DaggerNo); // call base to save applying bc
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Mooee(in, Tmp);
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axpy(out, 1.0, out, Tmp);
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if(open_boundaries) ApplyBoundaryMask(out);
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}
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void Mdag(const FermionField& in, FermionField& out) override {
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out.Checkerboard() = in.Checkerboard();
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WilsonBase::Dhop(in, out, DaggerYes); // call base to save applying bc
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MooeeDag(in, Tmp);
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axpy(out, 1.0, out, Tmp);
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if(open_boundaries) ApplyBoundaryMask(out);
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}
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void Meooe(const FermionField& in, FermionField& out) override {
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WilsonBase::Meooe(in, out);
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if(open_boundaries) ApplyBoundaryMask(out);
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}
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void MeooeDag(const FermionField& in, FermionField& out) override {
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WilsonBase::MeooeDag(in, out);
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if(open_boundaries) ApplyBoundaryMask(out);
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}
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void Mooee(const FermionField& in, FermionField& out) override {
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if(in.Grid()->_isCheckerBoarded) {
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if(in.Checkerboard() == Odd) {
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MooeeInternal(in, out, DiagonalOdd, TriangleOdd);
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} else {
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MooeeInternal(in, out, DiagonalEven, TriangleEven);
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}
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} else {
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MooeeInternal(in, out, Diagonal, Triangle);
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}
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if(open_boundaries) ApplyBoundaryMask(out);
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}
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void MooeeDag(const FermionField& in, FermionField& out) override {
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Mooee(in, out); // blocks are hermitian
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}
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void MooeeInv(const FermionField& in, FermionField& out) override {
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if(in.Grid()->_isCheckerBoarded) {
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if(in.Checkerboard() == Odd) {
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MooeeInternal(in, out, DiagonalInvOdd, TriangleInvOdd);
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} else {
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MooeeInternal(in, out, DiagonalInvEven, TriangleInvEven);
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}
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} else {
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MooeeInternal(in, out, DiagonalInv, TriangleInv);
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}
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if(open_boundaries) ApplyBoundaryMask(out);
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}
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void MooeeInvDag(const FermionField& in, FermionField& out) override {
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MooeeInv(in, out); // blocks are hermitian
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}
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void Mdir(const FermionField& in, FermionField& out, int dir, int disp) override {
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DhopDir(in, out, dir, disp);
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}
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void MdirAll(const FermionField& in, std::vector<FermionField>& out) override {
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DhopDirAll(in, out);
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}
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void MDeriv(GaugeField& force, const FermionField& X, const FermionField& Y, int dag) override {
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assert(!open_boundaries); // TODO check for changes required for open bc
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// NOTE: code copied from original clover term
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conformable(X.Grid(), Y.Grid());
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conformable(X.Grid(), force.Grid());
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GaugeLinkField force_mu(force.Grid()), lambda(force.Grid());
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GaugeField clover_force(force.Grid());
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PropagatorField Lambda(force.Grid());
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// Guido: Here we are hitting some performance issues:
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// need to extract the components of the DoubledGaugeField
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// for each call
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// Possible solution
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// Create a vector object to store them? (cons: wasting space)
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std::vector<GaugeLinkField> U(Nd, this->Umu.Grid());
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Impl::extractLinkField(U, this->Umu);
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force = Zero();
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// Derivative of the Wilson hopping term
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this->DhopDeriv(force, X, Y, dag);
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///////////////////////////////////////////////////////////
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// Clover term derivative
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///////////////////////////////////////////////////////////
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Impl::outerProductImpl(Lambda, X, Y);
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//std::cout << "Lambda:" << Lambda << std::endl;
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Gamma::Algebra sigma[] = {
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Gamma::Algebra::SigmaXY,
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Gamma::Algebra::SigmaXZ,
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Gamma::Algebra::SigmaXT,
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Gamma::Algebra::MinusSigmaXY,
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Gamma::Algebra::SigmaYZ,
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Gamma::Algebra::SigmaYT,
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Gamma::Algebra::MinusSigmaXZ,
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Gamma::Algebra::MinusSigmaYZ,
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Gamma::Algebra::SigmaZT,
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Gamma::Algebra::MinusSigmaXT,
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Gamma::Algebra::MinusSigmaYT,
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Gamma::Algebra::MinusSigmaZT};
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/*
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sigma_{\mu \nu}=
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| 0 sigma[0] sigma[1] sigma[2] |
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| sigma[3] 0 sigma[4] sigma[5] |
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| sigma[6] sigma[7] 0 sigma[8] |
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| sigma[9] sigma[10] sigma[11] 0 |
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*/
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int count = 0;
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clover_force = Zero();
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for (int mu = 0; mu < 4; mu++)
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{
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force_mu = Zero();
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for (int nu = 0; nu < 4; nu++)
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{
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if (mu == nu)
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continue;
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RealD factor;
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if (nu == 4 || mu == 4)
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{
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factor = 2.0 * csw_t;
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}
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else
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{
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factor = 2.0 * csw_r;
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}
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PropagatorField Slambda = Gamma(sigma[count]) * Lambda; // sigma checked
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Impl::TraceSpinImpl(lambda, Slambda); // traceSpin ok
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force_mu -= factor*Helpers::Cmunu(U, lambda, mu, nu); // checked
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count++;
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}
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pokeLorentz(clover_force, U[mu] * force_mu, mu);
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}
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//clover_force *= csw;
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force += clover_force;
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}
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void MooDeriv(GaugeField& mat, const FermionField& U, const FermionField& V, int dag) override {
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assert(0);
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}
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void MeeDeriv(GaugeField& mat, const FermionField& U, const FermionField& V, int dag) override {
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assert(0);
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}
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/////////////////////////////////////////////
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// Member functions (internals)
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/////////////////////////////////////////////
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void MooeeInternal(const FermionField& in,
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FermionField& out,
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const CloverDiagonalField& diagonal,
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const CloverTriangleField& triangle) {
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assert(in.Checkerboard() == Odd || in.Checkerboard() == Even);
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out.Checkerboard() = in.Checkerboard();
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conformable(in, out);
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conformable(in, diagonal);
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conformable(in, triangle);
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CompactHelpers::MooeeKernel(diagonal.oSites(), 1, in, out, diagonal, triangle);
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}
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/////////////////////////////////////////////
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// Helpers
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/////////////////////////////////////////////
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void ImportGauge(const GaugeField& _Umu) override {
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// NOTE: parts copied from original implementation
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// Import gauge into base class
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double t0 = usecond();
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WilsonBase::ImportGauge(_Umu); // NOTE: called here and in wilson constructor -> performed twice, but can't avoid that
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// Initialize temporary variables
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double t1 = usecond();
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conformable(_Umu.Grid(), this->GaugeGrid());
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GridBase* grid = _Umu.Grid();
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typename Impl::GaugeLinkField Bx(grid), By(grid), Bz(grid), Ex(grid), Ey(grid), Ez(grid);
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CloverField TmpOriginal(grid);
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// Compute the field strength terms mu>nu
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double t2 = usecond();
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WilsonLoops<Impl>::FieldStrength(Bx, _Umu, Zdir, Ydir);
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WilsonLoops<Impl>::FieldStrength(By, _Umu, Zdir, Xdir);
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WilsonLoops<Impl>::FieldStrength(Bz, _Umu, Ydir, Xdir);
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WilsonLoops<Impl>::FieldStrength(Ex, _Umu, Tdir, Xdir);
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WilsonLoops<Impl>::FieldStrength(Ey, _Umu, Tdir, Ydir);
|
||||
WilsonLoops<Impl>::FieldStrength(Ez, _Umu, Tdir, Zdir);
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||||
|
||||
// Compute the Clover Operator acting on Colour and Spin
|
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// multiply here by the clover coefficients for the anisotropy
|
||||
double t3 = usecond();
|
||||
TmpOriginal = Helpers::fillCloverYZ(Bx) * csw_r;
|
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TmpOriginal += Helpers::fillCloverXZ(By) * csw_r;
|
||||
TmpOriginal += Helpers::fillCloverXY(Bz) * csw_r;
|
||||
TmpOriginal += Helpers::fillCloverXT(Ex) * csw_t;
|
||||
TmpOriginal += Helpers::fillCloverYT(Ey) * csw_t;
|
||||
TmpOriginal += Helpers::fillCloverZT(Ez) * csw_t;
|
||||
TmpOriginal += this->diag_mass;
|
||||
|
||||
// Convert the data layout of the clover term
|
||||
double t4 = usecond();
|
||||
CompactHelpers::ConvertLayout(TmpOriginal, Diagonal, Triangle);
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||||
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||||
// Possible modify the boundary values
|
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double t5 = usecond();
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if(open_boundaries) CompactHelpers::ModifyBoundaries(Diagonal, Triangle, csw_t, cF, this->diag_mass);
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||||
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||||
// Invert the clover term in the improved layout
|
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double t6 = usecond();
|
||||
CompactHelpers::Invert(Diagonal, Triangle, DiagonalInv, TriangleInv);
|
||||
|
||||
// Fill the remaining clover fields
|
||||
double t7 = usecond();
|
||||
pickCheckerboard(Even, DiagonalEven, Diagonal);
|
||||
pickCheckerboard(Even, TriangleEven, Triangle);
|
||||
pickCheckerboard(Odd, DiagonalOdd, Diagonal);
|
||||
pickCheckerboard(Odd, TriangleOdd, Triangle);
|
||||
pickCheckerboard(Even, DiagonalInvEven, DiagonalInv);
|
||||
pickCheckerboard(Even, TriangleInvEven, TriangleInv);
|
||||
pickCheckerboard(Odd, DiagonalInvOdd, DiagonalInv);
|
||||
pickCheckerboard(Odd, TriangleInvOdd, TriangleInv);
|
||||
|
||||
// Report timings
|
||||
double t8 = usecond();
|
||||
#if 0
|
||||
std::cout << GridLogMessage << "CompactWilsonCloverFermion::ImportGauge timings:"
|
||||
<< " WilsonFermion::Importgauge = " << (t1 - t0) / 1e6
|
||||
<< ", allocations = " << (t2 - t1) / 1e6
|
||||
<< ", field strength = " << (t3 - t2) / 1e6
|
||||
<< ", fill clover = " << (t4 - t3) / 1e6
|
||||
<< ", convert = " << (t5 - t4) / 1e6
|
||||
<< ", boundaries = " << (t6 - t5) / 1e6
|
||||
<< ", inversions = " << (t7 - t6) / 1e6
|
||||
<< ", pick cbs = " << (t8 - t7) / 1e6
|
||||
<< ", total = " << (t8 - t0) / 1e6
|
||||
<< std::endl;
|
||||
#endif
|
||||
}
|
||||
|
||||
/////////////////////////////////////////////
|
||||
// Helpers
|
||||
/////////////////////////////////////////////
|
||||
|
||||
private:
|
||||
|
||||
template<class Field>
|
||||
const MaskField* getCorrectMaskField(const Field &in) const {
|
||||
if(in.Grid()->_isCheckerBoarded) {
|
||||
if(in.Checkerboard() == Odd) {
|
||||
return &this->BoundaryMaskOdd;
|
||||
} else {
|
||||
return &this->BoundaryMaskEven;
|
||||
}
|
||||
} else {
|
||||
return &this->BoundaryMask;
|
||||
}
|
||||
}
|
||||
|
||||
template<class Field>
|
||||
void ApplyBoundaryMask(Field& f) {
|
||||
const MaskField* m = getCorrectMaskField(f); assert(m != nullptr);
|
||||
assert(m != nullptr);
|
||||
CompactHelpers::ApplyBoundaryMask(f, *m);
|
||||
}
|
||||
|
||||
/////////////////////////////////////////////
|
||||
// Member Data
|
||||
/////////////////////////////////////////////
|
||||
|
||||
public:
|
||||
|
||||
RealD csw_r;
|
||||
RealD csw_t;
|
||||
RealD cF;
|
||||
|
||||
bool open_boundaries;
|
||||
|
||||
CloverDiagonalField Diagonal, DiagonalEven, DiagonalOdd;
|
||||
CloverDiagonalField DiagonalInv, DiagonalInvEven, DiagonalInvOdd;
|
||||
|
||||
CloverTriangleField Triangle, TriangleEven, TriangleOdd;
|
||||
CloverTriangleField TriangleInv, TriangleInvEven, TriangleInvOdd;
|
||||
|
||||
FermionField Tmp;
|
||||
|
||||
MaskField BoundaryMask, BoundaryMaskEven, BoundaryMaskOdd;
|
||||
};
|
||||
|
||||
NAMESPACE_END(Grid);
|
Reference in New Issue
Block a user