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Grid/Grid/qcd/action/fermion/WilsonCloverHelpers.h
Daniel Richtmann 3082ab8252 Check in compact version of wilson clover fermions
2022-02-02 00:50:05 +01:00

762 lines
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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/fermion/WilsonCloverHelpers.h
Copyright (C) 2021 - 2022
Author: Daniel Richtmann <daniel.richtmann@gmail.com>
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License along
with this program; if not, write to the Free Software Foundation, Inc.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/
/* END LEGAL */
#pragma once
// Helper routines that implement common clover functionality
NAMESPACE_BEGIN(Grid);
template<class Impl> class WilsonCloverHelpers {
public:
INHERIT_IMPL_TYPES(Impl);
INHERIT_CLOVER_TYPES(Impl);
// Computing C_{\mu \nu}(x) as in Eq.(B.39) in Zbigniew Sroczynski's PhD thesis
static GaugeLinkField Cmunu(std::vector<GaugeLinkField> &U, GaugeLinkField &lambda, int mu, int nu)
{
conformable(lambda.Grid(), U[0].Grid());
GaugeLinkField out(lambda.Grid()), tmp(lambda.Grid());
// insertion in upper staple
// please check redundancy of shift operations
// C1+
tmp = lambda * U[nu];
out = Impl::ShiftStaple(Impl::CovShiftForward(tmp, nu, Impl::CovShiftBackward(U[mu], mu, Impl::CovShiftIdentityBackward(U[nu], nu))), mu);
// C2+
tmp = U[mu] * Impl::ShiftStaple(adj(lambda), mu);
out += Impl::ShiftStaple(Impl::CovShiftForward(U[nu], nu, Impl::CovShiftBackward(tmp, mu, Impl::CovShiftIdentityBackward(U[nu], nu))), mu);
// C3+
tmp = U[nu] * Impl::ShiftStaple(adj(lambda), nu);
out += Impl::ShiftStaple(Impl::CovShiftForward(U[nu], nu, Impl::CovShiftBackward(U[mu], mu, Impl::CovShiftIdentityBackward(tmp, nu))), mu);
// C4+
out += Impl::ShiftStaple(Impl::CovShiftForward(U[nu], nu, Impl::CovShiftBackward(U[mu], mu, Impl::CovShiftIdentityBackward(U[nu], nu))), mu) * lambda;
// insertion in lower staple
// C1-
out -= Impl::ShiftStaple(lambda, mu) * Impl::ShiftStaple(Impl::CovShiftBackward(U[nu], nu, Impl::CovShiftBackward(U[mu], mu, U[nu])), mu);
// C2-
tmp = adj(lambda) * U[nu];
out -= Impl::ShiftStaple(Impl::CovShiftBackward(tmp, nu, Impl::CovShiftBackward(U[mu], mu, U[nu])), mu);
// C3-
tmp = lambda * U[nu];
out -= Impl::ShiftStaple(Impl::CovShiftBackward(U[nu], nu, Impl::CovShiftBackward(U[mu], mu, tmp)), mu);
// C4-
out -= Impl::ShiftStaple(Impl::CovShiftBackward(U[nu], nu, Impl::CovShiftBackward(U[mu], mu, U[nu])), mu) * lambda;
return out;
}
static CloverField fillCloverYZ(const GaugeLinkField &F)
{
CloverField T(F.Grid());
T = Zero();
autoView(T_v,T,AcceleratorWrite);
autoView(F_v,F,AcceleratorRead);
accelerator_for(i, T.Grid()->oSites(),CloverField::vector_type::Nsimd(),
{
coalescedWrite(T_v[i]()(0, 1), coalescedRead(timesMinusI(F_v[i]()())));
coalescedWrite(T_v[i]()(1, 0), coalescedRead(timesMinusI(F_v[i]()())));
coalescedWrite(T_v[i]()(2, 3), coalescedRead(timesMinusI(F_v[i]()())));
coalescedWrite(T_v[i]()(3, 2), coalescedRead(timesMinusI(F_v[i]()())));
});
return T;
}
static CloverField fillCloverXZ(const GaugeLinkField &F)
{
CloverField T(F.Grid());
T = Zero();
autoView(T_v, T,AcceleratorWrite);
autoView(F_v, F,AcceleratorRead);
accelerator_for(i, T.Grid()->oSites(),CloverField::vector_type::Nsimd(),
{
coalescedWrite(T_v[i]()(0, 1), coalescedRead(-F_v[i]()()));
coalescedWrite(T_v[i]()(1, 0), coalescedRead(F_v[i]()()));
coalescedWrite(T_v[i]()(2, 3), coalescedRead(-F_v[i]()()));
coalescedWrite(T_v[i]()(3, 2), coalescedRead(F_v[i]()()));
});
return T;
}
static CloverField fillCloverXY(const GaugeLinkField &F)
{
CloverField T(F.Grid());
T = Zero();
autoView(T_v,T,AcceleratorWrite);
autoView(F_v,F,AcceleratorRead);
accelerator_for(i, T.Grid()->oSites(),CloverField::vector_type::Nsimd(),
{
coalescedWrite(T_v[i]()(0, 0), coalescedRead(timesMinusI(F_v[i]()())));
coalescedWrite(T_v[i]()(1, 1), coalescedRead(timesI(F_v[i]()())));
coalescedWrite(T_v[i]()(2, 2), coalescedRead(timesMinusI(F_v[i]()())));
coalescedWrite(T_v[i]()(3, 3), coalescedRead(timesI(F_v[i]()())));
});
return T;
}
static CloverField fillCloverXT(const GaugeLinkField &F)
{
CloverField T(F.Grid());
T = Zero();
autoView( T_v , T, AcceleratorWrite);
autoView( F_v , F, AcceleratorRead);
accelerator_for(i, T.Grid()->oSites(),CloverField::vector_type::Nsimd(),
{
coalescedWrite(T_v[i]()(0, 1), coalescedRead(timesI(F_v[i]()())));
coalescedWrite(T_v[i]()(1, 0), coalescedRead(timesI(F_v[i]()())));
coalescedWrite(T_v[i]()(2, 3), coalescedRead(timesMinusI(F_v[i]()())));
coalescedWrite(T_v[i]()(3, 2), coalescedRead(timesMinusI(F_v[i]()())));
});
return T;
}
static CloverField fillCloverYT(const GaugeLinkField &F)
{
CloverField T(F.Grid());
T = Zero();
autoView( T_v ,T,AcceleratorWrite);
autoView( F_v ,F,AcceleratorRead);
accelerator_for(i, T.Grid()->oSites(),CloverField::vector_type::Nsimd(),
{
coalescedWrite(T_v[i]()(0, 1), coalescedRead(-(F_v[i]()())));
coalescedWrite(T_v[i]()(1, 0), coalescedRead((F_v[i]()())));
coalescedWrite(T_v[i]()(2, 3), coalescedRead((F_v[i]()())));
coalescedWrite(T_v[i]()(3, 2), coalescedRead(-(F_v[i]()())));
});
return T;
}
static CloverField fillCloverZT(const GaugeLinkField &F)
{
CloverField T(F.Grid());
T = Zero();
autoView( T_v , T,AcceleratorWrite);
autoView( F_v , F,AcceleratorRead);
accelerator_for(i, T.Grid()->oSites(),CloverField::vector_type::Nsimd(),
{
coalescedWrite(T_v[i]()(0, 0), coalescedRead(timesI(F_v[i]()())));
coalescedWrite(T_v[i]()(1, 1), coalescedRead(timesMinusI(F_v[i]()())));
coalescedWrite(T_v[i]()(2, 2), coalescedRead(timesMinusI(F_v[i]()())));
coalescedWrite(T_v[i]()(3, 3), coalescedRead(timesI(F_v[i]()())));
});
return T;
}
template<class _Spinor>
static accelerator_inline void multClover(_Spinor& phi, const SiteClover& C, const _Spinor& chi) {
auto CC = coalescedRead(C);
mult(&phi, &CC, &chi);
}
template<class _SpinorField>
inline void multCloverField(_SpinorField& out, const CloverField& C, const _SpinorField& phi) {
const int Nsimd = SiteSpinor::Nsimd();
autoView(out_v, out, AcceleratorWrite);
autoView(phi_v, phi, AcceleratorRead);
autoView(C_v, C, AcceleratorRead);
typedef decltype(coalescedRead(out_v[0])) calcSpinor;
accelerator_for(sss,out.Grid()->oSites(),Nsimd,{
calcSpinor tmp;
multClover(tmp,C_v[sss],phi_v(sss));
coalescedWrite(out_v[sss],tmp);
});
}
};
template<class Impl> class CompactWilsonCloverHelpers {
public:
INHERIT_COMPACT_CLOVER_SIZES(Impl);
INHERIT_IMPL_TYPES(Impl);
INHERIT_CLOVER_TYPES(Impl);
INHERIT_COMPACT_CLOVER_TYPES(Impl);
#if 0
static accelerator_inline typename SiteCloverTriangle::vector_type triangle_elem(const SiteCloverTriangle& triangle, int block, int i, int j) {
assert(i != j);
if(i < j) {
return triangle()(block)(triangle_index(i, j));
} else { // i > j
return conjugate(triangle()(block)(triangle_index(i, j)));
}
}
#else
template<typename vobj>
static accelerator_inline vobj triangle_elem(const iImplCloverTriangle<vobj>& triangle, int block, int i, int j) {
assert(i != j);
if(i < j) {
return triangle()(block)(triangle_index(i, j));
} else { // i > j
return conjugate(triangle()(block)(triangle_index(i, j)));
}
}
#endif
static accelerator_inline int triangle_index(int i, int j) {
if(i == j)
return 0;
else if(i < j)
return Nred * (Nred - 1) / 2 - (Nred - i) * (Nred - i - 1) / 2 + j - i - 1;
else // i > j
return Nred * (Nred - 1) / 2 - (Nred - j) * (Nred - j - 1) / 2 + i - j - 1;
}
static void MooeeKernel_gpu(int Nsite,
int Ls,
const FermionField& in,
FermionField& out,
const CloverDiagonalField& diagonal,
const CloverTriangleField& triangle) {
autoView(diagonal_v, diagonal, AcceleratorRead);
autoView(triangle_v, triangle, AcceleratorRead);
autoView(in_v, in, AcceleratorRead);
autoView(out_v, out, AcceleratorWrite);
typedef decltype(coalescedRead(out_v[0])) CalcSpinor;
const uint64_t NN = Nsite * Ls;
accelerator_for(ss, NN, Simd::Nsimd(), {
int sF = ss;
int sU = ss/Ls;
CalcSpinor res;
CalcSpinor in_t = in_v(sF);
auto diagonal_t = diagonal_v(sU);
auto triangle_t = triangle_v(sU);
for(int block=0; block<Nhs; block++) {
int s_start = block*Nhs;
for(int i=0; i<Nred; i++) {
int si = s_start + i/Nc, ci = i%Nc;
res()(si)(ci) = diagonal_t()(block)(i) * in_t()(si)(ci);
for(int j=0; j<Nred; j++) {
if (j == i) continue;
int sj = s_start + j/Nc, cj = j%Nc;
res()(si)(ci) = res()(si)(ci) + triangle_elem(triangle_t, block, i, j) * in_t()(sj)(cj);
};
};
};
coalescedWrite(out_v[sF], res);
});
}
static void MooeeKernel_cpu(int Nsite,
int Ls,
const FermionField& in,
FermionField& out,
const CloverDiagonalField& diagonal,
const CloverTriangleField& triangle) {
autoView(diagonal_v, diagonal, CpuRead);
autoView(triangle_v, triangle, CpuRead);
autoView(in_v, in, CpuRead);
autoView(out_v, out, CpuWrite);
typedef SiteSpinor CalcSpinor;
#if defined(A64FX) || defined(A64FXFIXEDSIZE)
#define PREFETCH_CLOVER(BASE) { \
uint64_t base; \
int pf_dist_L1 = 1; \
int pf_dist_L2 = -5; /* -> penalty -> disable */ \
\
if ((pf_dist_L1 >= 0) && (sU + pf_dist_L1 < Nsite)) { \
base = (uint64_t)&diag_t()(pf_dist_L1+BASE)(0); \
svprfd(svptrue_b64(), (int64_t*)(base + 0), SV_PLDL1STRM); \
svprfd(svptrue_b64(), (int64_t*)(base + 256), SV_PLDL1STRM); \
svprfd(svptrue_b64(), (int64_t*)(base + 512), SV_PLDL1STRM); \
svprfd(svptrue_b64(), (int64_t*)(base + 768), SV_PLDL1STRM); \
svprfd(svptrue_b64(), (int64_t*)(base + 1024), SV_PLDL1STRM); \
svprfd(svptrue_b64(), (int64_t*)(base + 1280), SV_PLDL1STRM); \
} \
\
if ((pf_dist_L2 >= 0) && (sU + pf_dist_L2 < Nsite)) { \
base = (uint64_t)&diag_t()(pf_dist_L2+BASE)(0); \
svprfd(svptrue_b64(), (int64_t*)(base + 0), SV_PLDL2STRM); \
svprfd(svptrue_b64(), (int64_t*)(base + 256), SV_PLDL2STRM); \
svprfd(svptrue_b64(), (int64_t*)(base + 512), SV_PLDL2STRM); \
svprfd(svptrue_b64(), (int64_t*)(base + 768), SV_PLDL2STRM); \
svprfd(svptrue_b64(), (int64_t*)(base + 1024), SV_PLDL2STRM); \
svprfd(svptrue_b64(), (int64_t*)(base + 1280), SV_PLDL2STRM); \
} \
}
// TODO: Implement/generalize this for other architectures
// I played around a bit on KNL (see below) but didn't bring anything
// #elif defined(AVX512)
// #define PREFETCH_CLOVER(BASE) { \
// uint64_t base; \
// int pf_dist_L1 = 1; \
// int pf_dist_L2 = +4; \
// \
// if ((pf_dist_L1 >= 0) && (sU + pf_dist_L1 < Nsite)) { \
// base = (uint64_t)&diag_t()(pf_dist_L1+BASE)(0); \
// _mm_prefetch((const char*)(base + 0), _MM_HINT_T0); \
// _mm_prefetch((const char*)(base + 64), _MM_HINT_T0); \
// _mm_prefetch((const char*)(base + 128), _MM_HINT_T0); \
// _mm_prefetch((const char*)(base + 192), _MM_HINT_T0); \
// _mm_prefetch((const char*)(base + 256), _MM_HINT_T0); \
// _mm_prefetch((const char*)(base + 320), _MM_HINT_T0); \
// } \
// \
// if ((pf_dist_L2 >= 0) && (sU + pf_dist_L2 < Nsite)) { \
// base = (uint64_t)&diag_t()(pf_dist_L2+BASE)(0); \
// _mm_prefetch((const char*)(base + 0), _MM_HINT_T1); \
// _mm_prefetch((const char*)(base + 64), _MM_HINT_T1); \
// _mm_prefetch((const char*)(base + 128), _MM_HINT_T1); \
// _mm_prefetch((const char*)(base + 192), _MM_HINT_T1); \
// _mm_prefetch((const char*)(base + 256), _MM_HINT_T1); \
// _mm_prefetch((const char*)(base + 320), _MM_HINT_T1); \
// } \
// }
#else
#define PREFETCH_CLOVER(BASE)
#endif
const uint64_t NN = Nsite * Ls;
thread_for(ss, NN, {
int sF = ss;
int sU = ss/Ls;
CalcSpinor res;
CalcSpinor in_t = in_v[sF];
auto diag_t = diagonal_v[sU]; // "diag" instead of "diagonal" here to make code below easier to read
auto triangle_t = triangle_v[sU];
// upper half
PREFETCH_CLOVER(0);
auto in_cc_0_0 = conjugate(in_t()(0)(0)); // Nils: reduces number
auto in_cc_0_1 = conjugate(in_t()(0)(1)); // of conjugates from
auto in_cc_0_2 = conjugate(in_t()(0)(2)); // 30 to 20
auto in_cc_1_0 = conjugate(in_t()(1)(0));
auto in_cc_1_1 = conjugate(in_t()(1)(1));
res()(0)(0) = diag_t()(0)( 0) * in_t()(0)(0)
+ triangle_t()(0)( 0) * in_t()(0)(1)
+ triangle_t()(0)( 1) * in_t()(0)(2)
+ triangle_t()(0)( 2) * in_t()(1)(0)
+ triangle_t()(0)( 3) * in_t()(1)(1)
+ triangle_t()(0)( 4) * in_t()(1)(2);
res()(0)(1) = triangle_t()(0)( 0) * in_cc_0_0;
res()(0)(1) = diag_t()(0)( 1) * in_t()(0)(1)
+ triangle_t()(0)( 5) * in_t()(0)(2)
+ triangle_t()(0)( 6) * in_t()(1)(0)
+ triangle_t()(0)( 7) * in_t()(1)(1)
+ triangle_t()(0)( 8) * in_t()(1)(2)
+ conjugate( res()(0)( 1));
res()(0)(2) = triangle_t()(0)( 1) * in_cc_0_0
+ triangle_t()(0)( 5) * in_cc_0_1;
res()(0)(2) = diag_t()(0)( 2) * in_t()(0)(2)
+ triangle_t()(0)( 9) * in_t()(1)(0)
+ triangle_t()(0)(10) * in_t()(1)(1)
+ triangle_t()(0)(11) * in_t()(1)(2)
+ conjugate( res()(0)( 2));
res()(1)(0) = triangle_t()(0)( 2) * in_cc_0_0
+ triangle_t()(0)( 6) * in_cc_0_1
+ triangle_t()(0)( 9) * in_cc_0_2;
res()(1)(0) = diag_t()(0)( 3) * in_t()(1)(0)
+ triangle_t()(0)(12) * in_t()(1)(1)
+ triangle_t()(0)(13) * in_t()(1)(2)
+ conjugate( res()(1)( 0));
res()(1)(1) = triangle_t()(0)( 3) * in_cc_0_0
+ triangle_t()(0)( 7) * in_cc_0_1
+ triangle_t()(0)(10) * in_cc_0_2
+ triangle_t()(0)(12) * in_cc_1_0;
res()(1)(1) = diag_t()(0)( 4) * in_t()(1)(1)
+ triangle_t()(0)(14) * in_t()(1)(2)
+ conjugate( res()(1)( 1));
res()(1)(2) = triangle_t()(0)( 4) * in_cc_0_0
+ triangle_t()(0)( 8) * in_cc_0_1
+ triangle_t()(0)(11) * in_cc_0_2
+ triangle_t()(0)(13) * in_cc_1_0
+ triangle_t()(0)(14) * in_cc_1_1;
res()(1)(2) = diag_t()(0)( 5) * in_t()(1)(2)
+ conjugate( res()(1)( 2));
vstream(out_v[sF]()(0)(0), res()(0)(0));
vstream(out_v[sF]()(0)(1), res()(0)(1));
vstream(out_v[sF]()(0)(2), res()(0)(2));
vstream(out_v[sF]()(1)(0), res()(1)(0));
vstream(out_v[sF]()(1)(1), res()(1)(1));
vstream(out_v[sF]()(1)(2), res()(1)(2));
// lower half
PREFETCH_CLOVER(1);
auto in_cc_2_0 = conjugate(in_t()(2)(0));
auto in_cc_2_1 = conjugate(in_t()(2)(1));
auto in_cc_2_2 = conjugate(in_t()(2)(2));
auto in_cc_3_0 = conjugate(in_t()(3)(0));
auto in_cc_3_1 = conjugate(in_t()(3)(1));
res()(2)(0) = diag_t()(1)( 0) * in_t()(2)(0)
+ triangle_t()(1)( 0) * in_t()(2)(1)
+ triangle_t()(1)( 1) * in_t()(2)(2)
+ triangle_t()(1)( 2) * in_t()(3)(0)
+ triangle_t()(1)( 3) * in_t()(3)(1)
+ triangle_t()(1)( 4) * in_t()(3)(2);
res()(2)(1) = triangle_t()(1)( 0) * in_cc_2_0;
res()(2)(1) = diag_t()(1)( 1) * in_t()(2)(1)
+ triangle_t()(1)( 5) * in_t()(2)(2)
+ triangle_t()(1)( 6) * in_t()(3)(0)
+ triangle_t()(1)( 7) * in_t()(3)(1)
+ triangle_t()(1)( 8) * in_t()(3)(2)
+ conjugate( res()(2)( 1));
res()(2)(2) = triangle_t()(1)( 1) * in_cc_2_0
+ triangle_t()(1)( 5) * in_cc_2_1;
res()(2)(2) = diag_t()(1)( 2) * in_t()(2)(2)
+ triangle_t()(1)( 9) * in_t()(3)(0)
+ triangle_t()(1)(10) * in_t()(3)(1)
+ triangle_t()(1)(11) * in_t()(3)(2)
+ conjugate( res()(2)( 2));
res()(3)(0) = triangle_t()(1)( 2) * in_cc_2_0
+ triangle_t()(1)( 6) * in_cc_2_1
+ triangle_t()(1)( 9) * in_cc_2_2;
res()(3)(0) = diag_t()(1)( 3) * in_t()(3)(0)
+ triangle_t()(1)(12) * in_t()(3)(1)
+ triangle_t()(1)(13) * in_t()(3)(2)
+ conjugate( res()(3)( 0));
res()(3)(1) = triangle_t()(1)( 3) * in_cc_2_0
+ triangle_t()(1)( 7) * in_cc_2_1
+ triangle_t()(1)(10) * in_cc_2_2
+ triangle_t()(1)(12) * in_cc_3_0;
res()(3)(1) = diag_t()(1)( 4) * in_t()(3)(1)
+ triangle_t()(1)(14) * in_t()(3)(2)
+ conjugate( res()(3)( 1));
res()(3)(2) = triangle_t()(1)( 4) * in_cc_2_0
+ triangle_t()(1)( 8) * in_cc_2_1
+ triangle_t()(1)(11) * in_cc_2_2
+ triangle_t()(1)(13) * in_cc_3_0
+ triangle_t()(1)(14) * in_cc_3_1;
res()(3)(2) = diag_t()(1)( 5) * in_t()(3)(2)
+ conjugate( res()(3)( 2));
vstream(out_v[sF]()(2)(0), res()(2)(0));
vstream(out_v[sF]()(2)(1), res()(2)(1));
vstream(out_v[sF]()(2)(2), res()(2)(2));
vstream(out_v[sF]()(3)(0), res()(3)(0));
vstream(out_v[sF]()(3)(1), res()(3)(1));
vstream(out_v[sF]()(3)(2), res()(3)(2));
});
}
static void MooeeKernel(int Nsite,
int Ls,
const FermionField& in,
FermionField& out,
const CloverDiagonalField& diagonal,
const CloverTriangleField& triangle) {
#if defined(GRID_CUDA) || defined(GRID_HIP)
MooeeKernel_gpu(Nsite, Ls, in, out, diagonal, triangle);
#else
MooeeKernel_cpu(Nsite, Ls, in, out, diagonal, triangle);
#endif
}
static void Invert(const CloverDiagonalField& diagonal,
const CloverTriangleField& triangle,
CloverDiagonalField& diagonalInv,
CloverTriangleField& triangleInv) {
conformable(diagonal, diagonalInv);
conformable(triangle, triangleInv);
conformable(diagonal, triangle);
diagonalInv.Checkerboard() = diagonal.Checkerboard();
triangleInv.Checkerboard() = triangle.Checkerboard();
GridBase* grid = diagonal.Grid();
long lsites = grid->lSites();
typedef typename SiteCloverDiagonal::scalar_object scalar_object_diagonal;
typedef typename SiteCloverTriangle::scalar_object scalar_object_triangle;
autoView(diagonal_v, diagonal, CpuRead);
autoView(triangle_v, triangle, CpuRead);
autoView(diagonalInv_v, diagonalInv, CpuWrite);
autoView(triangleInv_v, triangleInv, CpuWrite);
thread_for(site, lsites, { // NOTE: Not on GPU because of Eigen & (peek/poke)LocalSite
Eigen::MatrixXcd clover_inv_eigen = Eigen::MatrixXcd::Zero(Ns*Nc, Ns*Nc);
Eigen::MatrixXcd clover_eigen = Eigen::MatrixXcd::Zero(Ns*Nc, Ns*Nc);
scalar_object_diagonal diagonal_tmp = Zero();
scalar_object_diagonal diagonal_inv_tmp = Zero();
scalar_object_triangle triangle_tmp = Zero();
scalar_object_triangle triangle_inv_tmp = Zero();
Coordinate lcoor;
grid->LocalIndexToLocalCoor(site, lcoor);
peekLocalSite(diagonal_tmp, diagonal_v, lcoor);
peekLocalSite(triangle_tmp, triangle_v, lcoor);
// TODO: can we save time here by inverting the two 6x6 hermitian matrices separately?
for (long s_row=0;s_row<Ns;s_row++) {
for (long s_col=0;s_col<Ns;s_col++) {
if(abs(s_row - s_col) > 1 || s_row + s_col == 3) continue;
int block = s_row / Nhs;
int s_row_block = s_row % Nhs;
int s_col_block = s_col % Nhs;
for (long c_row=0;c_row<Nc;c_row++) {
for (long c_col=0;c_col<Nc;c_col++) {
int i = s_row_block * Nc + c_row;
int j = s_col_block * Nc + c_col;
if(i == j)
clover_eigen(s_row*Nc+c_row, s_col*Nc+c_col) = static_cast<ComplexD>(TensorRemove(diagonal_tmp()(block)(i)));
else
clover_eigen(s_row*Nc+c_row, s_col*Nc+c_col) = static_cast<ComplexD>(TensorRemove(triangle_elem(triangle_tmp, block, i, j)));
}
}
}
}
clover_inv_eigen = clover_eigen.inverse();
for (long s_row=0;s_row<Ns;s_row++) {
for (long s_col=0;s_col<Ns;s_col++) {
if(abs(s_row - s_col) > 1 || s_row + s_col == 3) continue;
int block = s_row / Nhs;
int s_row_block = s_row % Nhs;
int s_col_block = s_col % Nhs;
for (long c_row=0;c_row<Nc;c_row++) {
for (long c_col=0;c_col<Nc;c_col++) {
int i = s_row_block * Nc + c_row;
int j = s_col_block * Nc + c_col;
if(i == j)
diagonal_inv_tmp()(block)(i) = clover_inv_eigen(s_row*Nc+c_row, s_col*Nc+c_col);
else if(i < j)
triangle_inv_tmp()(block)(triangle_index(i, j)) = clover_inv_eigen(s_row*Nc+c_row, s_col*Nc+c_col);
else
continue;
}
}
}
}
pokeLocalSite(diagonal_inv_tmp, diagonalInv_v, lcoor);
pokeLocalSite(triangle_inv_tmp, triangleInv_v, lcoor);
});
}
static void ConvertLayout(const CloverField& full,
CloverDiagonalField& diagonal,
CloverTriangleField& triangle) {
conformable(full, diagonal);
conformable(full, triangle);
diagonal.Checkerboard() = full.Checkerboard();
triangle.Checkerboard() = full.Checkerboard();
autoView(full_v, full, AcceleratorRead);
autoView(diagonal_v, diagonal, AcceleratorWrite);
autoView(triangle_v, triangle, AcceleratorWrite);
// NOTE: this function cannot be 'private' since nvcc forbids this for kernels
accelerator_for(ss, full.Grid()->oSites(), 1, {
for(int s_row = 0; s_row < Ns; s_row++) {
for(int s_col = 0; s_col < Ns; s_col++) {
if(abs(s_row - s_col) > 1 || s_row + s_col == 3) continue;
int block = s_row / Nhs;
int s_row_block = s_row % Nhs;
int s_col_block = s_col % Nhs;
for(int c_row = 0; c_row < Nc; c_row++) {
for(int c_col = 0; c_col < Nc; c_col++) {
int i = s_row_block * Nc + c_row;
int j = s_col_block * Nc + c_col;
if(i == j)
diagonal_v[ss]()(block)(i) = full_v[ss]()(s_row, s_col)(c_row, c_col);
else if(i < j)
triangle_v[ss]()(block)(triangle_index(i, j)) = full_v[ss]()(s_row, s_col)(c_row, c_col);
else
continue;
}
}
}
}
});
}
static void ConvertLayout(const CloverDiagonalField& diagonal,
const CloverTriangleField& triangle,
CloverField& full) {
conformable(full, diagonal);
conformable(full, triangle);
full.Checkerboard() = diagonal.Checkerboard();
full = Zero();
autoView(diagonal_v, diagonal, AcceleratorRead);
autoView(triangle_v, triangle, AcceleratorRead);
autoView(full_v, full, AcceleratorWrite);
// NOTE: this function cannot be 'private' since nvcc forbids this for kernels
accelerator_for(ss, full.Grid()->oSites(), 1, {
for(int s_row = 0; s_row < Ns; s_row++) {
for(int s_col = 0; s_col < Ns; s_col++) {
if(abs(s_row - s_col) > 1 || s_row + s_col == 3) continue;
int block = s_row / Nhs;
int s_row_block = s_row % Nhs;
int s_col_block = s_col % Nhs;
for(int c_row = 0; c_row < Nc; c_row++) {
for(int c_col = 0; c_col < Nc; c_col++) {
int i = s_row_block * Nc + c_row;
int j = s_col_block * Nc + c_col;
if(i == j)
full_v[ss]()(s_row, s_col)(c_row, c_col) = diagonal_v[ss]()(block)(i);
else
full_v[ss]()(s_row, s_col)(c_row, c_col) = triangle_elem(triangle_v[ss], block, i, j);
}
}
}
}
});
}
static void ModifyBoundaries(CloverDiagonalField& diagonal, CloverTriangleField& triangle, RealD csw_t, RealD cF, RealD diag_mass) {
// Checks/grid
double t0 = usecond();
conformable(diagonal, triangle);
GridBase* grid = diagonal.Grid();
// Determine the boundary coordinates/sites
double t1 = usecond();
int t_dir = Nd - 1;
Lattice<iScalar<vInteger>> t_coor(grid);
LatticeCoordinate(t_coor, t_dir);
int T = grid->GlobalDimensions()[t_dir];
// Set off-diagonal parts at boundary to zero -- OK
double t2 = usecond();
CloverTriangleField zeroTriangle(grid);
zeroTriangle.Checkerboard() = triangle.Checkerboard();
zeroTriangle = Zero();
triangle = where(t_coor == 0, zeroTriangle, triangle);
triangle = where(t_coor == T-1, zeroTriangle, triangle);
// Set diagonal to unity (scaled correctly) -- OK
double t3 = usecond();
CloverDiagonalField tmp(grid);
tmp.Checkerboard() = diagonal.Checkerboard();
tmp = -1.0 * csw_t + diag_mass;
diagonal = where(t_coor == 0, tmp, diagonal);
diagonal = where(t_coor == T-1, tmp, diagonal);
// Correct values next to boundary
double t4 = usecond();
if(cF != 1.0) {
tmp = cF - 1.0;
tmp += diagonal;
diagonal = where(t_coor == 1, tmp, diagonal);
diagonal = where(t_coor == T-2, tmp, diagonal);
}
// Report timings
double t5 = usecond();
#if 0
std::cout << GridLogMessage << "CompactWilsonCloverHelpers::ModifyBoundaries timings:"
<< " checks = " << (t1 - t0) / 1e6
<< ", coordinate = " << (t2 - t1) / 1e6
<< ", off-diag zero = " << (t3 - t2) / 1e6
<< ", diagonal unity = " << (t4 - t3) / 1e6
<< ", near-boundary = " << (t5 - t4) / 1e6
<< ", total = " << (t5 - t0) / 1e6
<< std::endl;
#endif
}
template<class Field, class Mask>
static strong_inline void ApplyBoundaryMask(Field& f, const Mask& m) {
conformable(f, m);
auto grid = f.Grid();
const int Nsite = grid->oSites();
const int Nsimd = grid->Nsimd();
autoView(f_v, f, AcceleratorWrite);
autoView(m_v, m, AcceleratorRead);
// NOTE: this function cannot be 'private' since nvcc forbids this for kernels
accelerator_for(ss, Nsite, Nsimd, {
coalescedWrite(f_v[ss], m_v(ss) * f_v(ss));
});
}
template<class MaskField>
static void SetupMasks(MaskField& full, MaskField& even, MaskField& odd) {
assert(even.Grid()->_isCheckerBoarded && even.Checkerboard() == Even);
assert(odd.Grid()->_isCheckerBoarded && odd.Checkerboard() == Odd);
assert(!full.Grid()->_isCheckerBoarded);
GridBase* grid = full.Grid();
int t_dir = Nd-1;
Lattice<iScalar<vInteger>> t_coor(grid);
LatticeCoordinate(t_coor, t_dir);
int T = grid->GlobalDimensions()[t_dir];
MaskField zeroMask(grid); zeroMask = Zero();
full = 1.0;
full = where(t_coor == 0, zeroMask, full);
full = where(t_coor == T-1, zeroMask, full);
pickCheckerboard(Even, even, full);
pickCheckerboard(Odd, odd, full);
}
};
NAMESPACE_END(Grid);
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